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10.34133_2022_9870149.pdf
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Code Availability. The source codes for our CS framework are
available at https://github.com/bianzhiyu/ContinuityScaling.
|
Additional Points Code Availability. The source codes for our CS framework are available at https://github.com/bianzhiyu/ContinuityScaling .
|
AAAS
Research
Volume 2022, Article ID 9870149, 10 pages
https://doi.org/10.34133/2022/9870149
Research Article
Continuity Scaling: A Rigorous Framework for Detecting and
Quantifying Causality Accurately
Xiong Ying,1,2,3 Si-Yang Leng ,2,4 Huan-Fei Ma ,5 Qing Nie
and Wei Lin 1,2,3,8
,6 Ying-Cheng Lai
,7
1School of Mathematical Sciences, SCMS, and SCAM, Fudan University, Shanghai 200433, China
2Research Institute for Intelligent Complex Systems, CCSB, and LCNBI, Fudan University, Shanghai 200433, China
3State Key Laboratory of Medical Neurobiology and MOE Frontiers Center for Brain Science, Institutes of Brain Science,
Fudan University, Shanghai 200032, China
4Institute of AI and Robotics, Academy for Engineering and Technology, Fudan University, Shanghai 200433, China
5School of Mathematical Sciences, Soochow University, Suzhou 215006, China
6Department of Mathematics, Department of Developmental and Cell Biology, And NSF-Simons Center for Multiscale Cell
Fate Research, University of California, Irvine, CA 92697-3875, USA
7School of Electrical, Computer, And Energy Engineering, Arizona State University, Tempe, Arizona 85287-5706, USA
8Shanghai Artificial Intelligence Laboratory, Shanghai 200232, China
Correspondence should be addressed to Wei Lin; wlin@fudan.edu.cn
Received 7 March 2022; Accepted 24 March 2022; Published 4 May 2022
Copyright © 2022 Xiong Ying et al. Exclusive Licensee Science and Technology Review Publishing House. Distributed under a
Creative Commons Attribution License (CC BY 4.0).
Data-based detection and quantification of causation in complex, nonlinear dynamical systems is of paramount importance to
science, engineering, and beyond. Inspired by the widely used methodology in recent years, the cross-map-based techniques,
we develop a general framework to advance towards a comprehensive understanding of dynamical causal mechanisms, which
is consistent with the natural interpretation of causality. In particular, instead of measuring the smoothness of the cross-map
as conventionally implemented, we define causation through measuring the scaling law for the continuity of the investigated
dynamical system directly. The uncovered scaling law enables accurate, reliable, and efficient detection of causation and
assessment of its strength in general complex dynamical systems, outperforming those existing representative methods. The
continuity scaling-based framework is rigorously established and demonstrated using datasets from model complex systems
and the real world.
1. Introduction
Identifying and ascertaining causal relations are a problem
of paramount importance to science and engineering with
broad applications [1–3]. For example, accurate detection
of causation is the key to identifying the origin of diseases
in precision medicine [4] and is important to fields such as
psychiatry [5]. Traditionally, associational concepts are often
misinterpreted as causation [6, 7], while causal analysis in
fact goes one step further beyond association in a sense that,
instead of using static conditions, causation is induced under
changing conditions [8]. The principle of Granger causality
formalizes a paradigmatic framework [9–11], quantifying
causality in terms of prediction improvements, but, because
of its linear, multivariate, and statistical regression nature,
the various derived methods require extensive data [12].
Entropy-based methods [13–20] face a similar difficulty.
Another issue with the Granger causality is the fundamental
requirement of separability of the underlying dynamical var-
iables, which usually cannot be met in the real world sys-
tems. To overcome these difficulties, the cross-map-based
techniques, paradigms tailored to dynamical systems, have
been developed and have gained widespread attention in
the past decade [21–36].
2
Research
The cross-map is originated from nonlinear time series
analysis [37–42]. A brief understanding of such a map is as
follows. Consider two subsystems: X and Y. In the recon-
structed phase space of X, if for any state vector at a time a
set of neighboring vectors can be found, the set of the
cross-mapped vectors, which are the partners with equal
time of X, could be available in Y. The cross-map underlying
the reconstructed spaces can be written as Y t = ΦðXtÞ
(where Xt and Y t are delay coordinates with sufficiently
large dimensions) for the case of Y unidirectionally causing
X while, mathematically,
its inverse map does not exist
[34]. In practice, using the prior knowledge on the true cau-
sality in toy models or/and the assumption on the expanding
property of Φ (representing by its Jacobian’s singular value
larger than one in the topological causality framework
[24]), scientists developed many practically useful tech-
niques based on the cross-map for causality detection. For
instance, the “activity” method, originally designed to mea-
sure the continuity of the inverse of the cross-map, com-
pares the divergence of the cross-mapped vectors to the
state vector in X with the divergence of the independently-
selected neighboring vectors to the same state vector [22,
23]. The topological causality measures the divergence rate
of the cross-mapped vectors from the state vectors in Y
[24], and the convergent cross-mapping (CCM), increasing
the length of time series, compares the true state vector Y
with the average of the cross-mapped vectors, as the estima-
tion of Y [21, 25–36]. Then, the change of the divergence or
the accuracy of the estimation is statistically evaluated for
determining the causation from Y to X. Inversely, the causa-
tion from X to Y can be evaluated in an analogous manner.
The above evaluations [21, 24, 26–36] can be understood at a
conceptional and qualitative level and perform well in many
demonstrations.
In this work, striving for a comprehensive understanding
of causal mechanisms and inspired by the cross-map-based
techniques, we develop a mathematically rigorous frame-
work for detecting causality in nonlinear dynamical systems,
turning eyes towards investigating the original systems from
their cross-maps, which is also logically consistent with the
natural interpretation of causality as functional dependences
[2, 8]. The skills used in cross-map-based methods are
assimilated in our framework, while we directly study the
original dynamical systems or the reconstructed systems
instead of the cross-maps. The foundation of our framework
is the scaling law for the changing relation of ε with δ arising
from the continuity for the investigated system, henceforth
the term “continuity scaling”. In addition to providing a the-
ory, we demonstrate, using synthetic and real-world data,
that our continuity scaling framework is accurate, computa-
tionally efficient, widely applicable, showing advantages over
the existing methods.
2. Continuity Scaling Framework
To explain the mathematical idea behind the development of
our framework, we use the following class of discrete time
dynamical systems: xt+1 = fðxt, ytÞ and yt+1 = gðxt, ytÞ for t
∈ ℕ, where the state variables fxtgt∈ℕ, fytgt∈ℕ evolve in
the compact manifolds M, N of dimension DM, DN under
sufficiently smooth map f, g, respectively. We adopt the
common recognition of causality in dynamical systems.
Definition 1. If the dependence of fðx, yÞ on y is nontrivial (i.
e., a directional coupling exists), a variation in y results in a
change in the value of fðx, yÞ for any given x, which, accord-
ing to the natural interpretation of causality [2, 43], admits
that y : fytgt∈ℕ has a direct causal effect on x : fxtgt∈ℕ,
denoted by y↪x, as shown in the upper panel of Figure 1(a).
We now interpret the causal relationship stipulated by
ð·Þ ≜ fðxg, ·Þ for a given
the continuity of a function. Let fxg
∈ N , we denote its image under
∈ M. For any yP
point xg
≜ fxg
the given function by xI
ðyPÞ. Applying the logic state-
ment of a continuous function to fxg
ð·Þ, we have that, for
any neighborhood OðxI, εÞ centered at xI and of radius ε >
0, there exists a neighborhood OðyP, δÞ centered at yP of
radius δ > 0, such that fxg
ðOðyP, δÞÞ ⊂ OðxI, εÞ. The neigh-
borhood and its radius are defined by
O p, hð
Þ = s ∈ S distS
f
j
s, pð
Þ < h
g, p ∈ S, h > 0,
ð1Þ
where distSð·, · Þ represents an appropriate metric describ-
ing the distance between two given points in a specified
manifold S with S = M or N . The meaning of this mathe-
matical statement is that, if we have a neighborhood of the
resulting variable xI first, we can then find a neighborhood
for the causal variable yP to satisfy the above mapping and
inclusion relation. This operation of “first-ε-then-δ” pro-
vides a rigorous base for the principle that the information
about the resulting variable can be used to estimate the
information of the causal variable and therefore to ascertain
causation, as indicated by the long arrow in the middle
panels of Figure 1(a). Note that, the existence of the δ > 0
neighborhood is always guaranteed for a continuous map
. In fact, due to the compactness of the manifold N , a
fxg
largest value of δ exists. However, if yP does not have an
explicit causal effect on the variable xI, i.e., fxg
is independent
of yP, the existence of δ is still assured but it is independent
of the value of ε, as shown in the upper panel of Figure 1(b).
This means that merely determining the existence of a δ-
neighborhood is not enough for inferring causation - it is
necessary to vary ε systematically and to examine the scaling
relation between δ and ε. In the following we discuss a num-
ber of scenarios.
Case I. Dynamical variables fðxt, ytÞgt∈ℕ are fully measur-
x > 0, the set fxτ ∈ Mjτ ∈ It
able. For any given constant ε
ðε
xÞg can be used to approximate the neighborhood Oðxt+1,
ε
xÞ, where the time index set is
x
It
x
ε
xð
Þ ≜ τ ∈ ℕ distMj
f
ð
xt+1, xτ
Þ < ε
x
g:
ð2Þ
The radius δt
y = δt
yðε
xÞ of the neighborhood Oðyt, δt
yÞ
Research
3
(a)
(b)
Figure 1: Illustration of causal relation between two sets of dynamical variables. (a) Existence of causation from y in N to x in M, where
each correspondence from xt+1 to yt is one-to-one, represented by the line or the arrow, respectively, in the upper and the middle panels. In
y (the lower panel) with ε
this case, a change in ln ε
y denoting the neighborhood size of the resulting
variable x and of the causal variable y, respectively. (b) Absence of causation from y to x, where every point on each trajectory, fytg, in N
could be the correspondent point from xt+1 in M (the upper panel) and thus every point in N belongs to the largest δ-neighborhood of yt
(the middle panel). In this case, δ
x (the lower panel). Also refer to the supplemental animation for illustration.
x results in a direct change in δ
y does not depend on ε
x and δ
satisfying fxg=xt ðOðyt, δt
yÞÞ ⊂ Oðxt+1, ε
xÞ can be estimated as
n
h
Þ ≜ # (cid:2)It
x
ε
xð
Þ
δt
y
ε
xð
i
o−1 〠
τ∈(cid:2)It
x
ε
xð
Þ
distN yt, yτ−1
ð
Þ,
ð3Þ
xg.
xðε
xÞ ≜ fτ ∈ It
where #½·(cid:2) is the cardinality of the given set and the index set
is (cid:2)It
xÞjdistMðxt, xτ−1Þ < ε
xðε
The strict mathematical steps for estimating δt
y are given
in Section II of Supplementary Information (SI). We empha-
size that here correspondence between xt+1 and yt is investi-
gated, differing from the cross-map-based methods, with
one-step time difference naturally arising. This consider-
ation yields a key condition [DD], which is only need when
considering the original iteration/flow and whose detailed
description and universality are demonstrated in SI. We
reveal a linear scaling law between hδt
yit∈ℕ and ln ε
x, as
shown in the lower panels of Figure 1, whose slope s
y↪x is
an indicator of the correspondent relation between ε and δ
and hence the causal relation y↪x. Here, h·it∈ℕ denotes
the average over time. In particular, a larger slope value
implies a stronger causation in the direction from y to x as
represented by the map functions fðxt, ytÞ (Figure 1(a)),
while a near zero slope indicates null causation in this direc-
tion (Figure 1(b)). Likewise, possible causation in the
reversed direction, x↪y, as represented by the function gð
xt, ytÞ, can be assessed analogously. And the unidirectional
case when fðx, yÞ = f0ðxÞ independent of y is uniformly con-
sidered in Case II. We summarize the consideration below
and an argument for the generic existence of the scaling
law is provided in Section II of SI.
Theorem 2. For dynamical variables fðxt, ytÞgt∈ℕ measured
directly from the dynamical systems, if the slope s
y↪x defined
above is zero, no causation exists from y to x. Otherwise, a
directional coupling can be confirmed from y to x and the
slope s
y↪x increases monotonically with the coupling strength.
Case II. The dynamical variables fðxt, ytÞgt∈ℕ are not
directly accessible but measurable time series futgt∈ℕ and
fvtgt∈ℕ are available, where ut = uðxtÞ and vt = vðytÞ with
u: M ⟶ ℝru and v: N ⟶ ℝrv being smooth observational
functions. To assess causation from y to x, we assume one-
dimensional observational time series (for simplicity): ru =
rv = 1, and use the classical delay-coordinate embedding
method [37–42, 44] to reconstruct the phase space: ut =
T
ðut, ut+τu,⋯,ut+ðdu−1ÞτuÞ
and vt = ðvt, vt+τv ,⋯,vt+ðdv−1Þτv Þ
,
where τu,v is the delay time and du,v > 2ðDM + DN Þ is the
embedding dimension that can be determined using some
standard criteria [45]. As illustrated in Figure 2, the dynam-
ical evolution of the reconstructed states fðut, vtÞgt∈ℕ is gov-
erned by
T
ut+1 =
~
f ut, vt
ð
Þ, vt+1 = ~g ut, vt
ð
Þ:
ð4Þ
The map functions can be calculated as
∘ E−1
~
fðu, vÞ ≜ Eu ∘
∘ E−1
∘ E−1
u ðuÞ, Π
u
1
∘ E−1
v ðvÞÞ, where the embedding (diffeomorphism)
v ðvÞÞ, ~gðu, vÞ ≜ Ev ∘ ½f, g(cid:2)ðΠ
1
2
½ f, g(cid:2)ðΠ
ðuÞ, Π
2
4
Research
(f(x, y), g(x, y))
M × N
M × N
y↪x or x↪y
)
u
(
1
u
–
E
°
1
П
)
v
(
1
–
v
E
°
2
П
)
y
,
x
(
u
E
)
y
,
x
(
v
E
˜
˜
Lu × Lv
˜
˜
Lu × Lv
v↪u or u↪v
˜
˜
(f(u,v),g(u,v))
{ut(x)}t𝜖N {vt(y)}t𝜖N
Figure 2:
Illustration of system dynamics before and after
embedding for Case II. In the left panel, the arrows describe how
~
f, ~gÞ after
the original systems ðf, gÞ is equivalent to the system ð
embedding. In the right panel, causation between the internal
variables x and y can be ascertained by detecting the causation
between the variables u and v reconstructed from measured time
series.
Es: M × N ⟶ ~L s ⊂ ℝds with
given by
~L s ≜ EsðM × N Þ, s = u or v, is
Eu x, y
ð
f, g½
Ev x, y
ð
f, g½
∘
1
∘ f, g½
Þ ≜ uð xð Þ, u ∘ Π
(cid:2)2τu x, y
ð
Þ ≜ vð yð Þ, v ∘ Π
2
(cid:2)2τv x, y
ð
τu x, y
(cid:2)
ð
du−1
Þ, ⋯, u ∘ Π
∘ f, g½
(cid:2)
1
τv x, y
∘ f, g½
(cid:2)
ð
dv−1
∘ f, g½
ð
Þ, ⋯, v ∘ Π
Þ, u ∘ Π
1
Þτu x, y
ð
Þ, v ∘ Π
2
Þτv x, y
ð
(cid:2)
ð
ÞÞ,
∘
ÞÞ,
2
ð5Þ
k
~L s, ½f, g(cid:2)
s defined on
1ðx, yÞ = x and Π
with the inverse function E−1
represent-
ing the kth iteration of the map and the projection mappings
as Π
2ðx, yÞ = y. Case II has now been
reduced to Case I, and our continuity scaling framework
can be used to ascertain the causation from v to u based on
the measured time series with the indices It
uÞ and
s
v↪u (equations (2) and (3)).
uÞ, δt
uðε
vðε
~
f0ðutÞ and vt+1 = ~gðut, vtÞ, where
Does the causation from v to u imply causation from y to
x? The answer is affirmative, which can be argued, as follows.
If the original map function f is independent of y: fðx, yÞ =
f0ðxÞ, there is no causation from y to x. In this case, the
embedding Euðx, yÞ becomes independent of y, degenerating
into the form of Euðx, yÞ = Eu0ðxÞ, a diffeomorphism from M
~L u0 = Eu0ðMÞ only. As a result, equation (4) becomes
to
~
∘ f ∘ E−1
ut+1 =
f0ðuÞ = Eu0
u0ð
~
f0 is independent of v. The
uÞ and the resulting mapping
independence can be validated by computing the slope
v↪u associated with the scaling relation between hδt
s
vit∈ℕ
and ln ε
u, where a zero slope indicates null causation from
v to u and hence null causation from y to x. Conversely, a
finite slope signifies causation between the variables. Thus,
any type of causal relation (unidirectional or bi-directional)
detected
variables
fðut, vtÞgt∈ℕ implies the same type of causal relation
between the internal but inaccessible variables x and y of
the original system.
reconstructed
between
state
the
T
Case III. The structure of the internal variables is completely
unknown. Given the observational functions ~u, ~v: M × N
⟶ ℝ with ~ut = ~uðxt, ytÞ and ~vt = ~vðxt, ytÞ, we first recon-
struct the state space: ~ut = ð~ut, ~ut+τ,⋯,~ut+ðd−1ÞτÞ
and ~vt =
ð~vt, ~vt+τ,⋯,~vt+ðd−1ÞτÞ
. To detect and quantify causation
from ~v to ~u (or vice versa), we carry out a continuity scaling
analysis with the modified indices It
~vðε~uÞ and s~v↪~u.
Differing from Case II, here, due to the lack of knowledge
about the correspondence structure between the internal
and observational variables, a causal relation for the latter
does not definitely imply the same for the former.
~uðε~uÞ, δt
T
Case IV. Continuous-time dynamical systems possessing a
sufficiently smooth flow fSt ; t ∈ ℝg on a compact manifold
H : dStðu0Þ/dt = χðStðu0ÞÞ, where χ is the vector field. Let
f̂ut=ωn+νgn∈ℤ and f̂vt=ωn+νgn∈ℤ be two respective time series
from the smooth observational functions ̂u, ̂v: H ⟶ ℝ with
̂ut = ̂uðStÞ and ̂vt = ̂vðStÞ, where 1/ω is the sampling rate and
ν is the time shift. Defining Ξ ≜ Sω: H ⟶ H and ̂Sn ≜
Sωn+νðu0Þ, we obtain a discrete-time system as ̂Sn+1 = Ξð̂SnÞ
with the observational functions as ̂un = ̂uð̂SnÞ and ̂vn = ̂vð
̂SnÞ, reducing the case to Case III and rendering applicable
our continuity scaling analysis to unveil and quantify the
causal relation between f̂ut=ωn+νgn∈ℤ and f̂vt=ωn+νgn∈ℤ. If
the domains of ̂u and ̂v have their own restrictions on some
particular subspaces, e.g., ̂u: H u ⟶ ℝ and ̂v: H v ⟶ ℝ
with H = H u ⊕ H v, the case is further reduced to Case II,
so the detected causal relation between the observational
variables imply causation between the internal variables
belonging to their respective subspaces.
3. Demonstrations: From Complex Dynamical
Models to Real-World Networks
To demonstrate the efficacy of our continuity scaling frame-
work and its superior performance, we have carried out
extensive numerical tests with a large number of synthetic
and empirical datasets, including those from gene regulatory
networks as well as those of air pollution and hospital
admission. The practical steps of the continuity scaling
framework together with the significance test procedures
are described in Methods. We present three representative
examples here, while leaving others of significance to SI.
2,t+1 = x
The first example is an ecological model of two unidirec-
tionally interacting species: x
1,tð3:8 − 3:8x
1,t − μ
1,t+1 = x
12
x
2,t − μ
2,tÞ and x
x
2,tð3:7 − 3:7x
1,tÞ. With time series
2,tÞgt∈ℕ obtained from different values of the cou-
1,t, x
fðx
pling parameters, our continuity scaling framework yields
correct results of different degree of unidirectional causa-
tion, as shown in Figures 3(a) and 3(b). In all cases, there
exists a reasonable range of ln εx
(neither too small nor
too large) from which the slope sx
of the linear scaling
can be extracted. The statistical significance of the estimated
slope values and consequently the strength of causation can
be assessed with the standard p-value test [46] (Methods and
SI). An ecological model with bidirectional coupling has also
been tested (see Section III of SI). Figures 3(c) and 3(d)
↪x
21
2
1
2
Research
5
0.6
0.4
t
〉
1
x
𝛿
〈
t
0.2
0.6
0.4
t
〉
2
x
𝛿
〈
t
0.2
0
–8
–6
–2
0
–4
ln 𝜀x2
0
–8
–6
–2
0
–4
ln 𝜀x1
𝜇21 = 0.00
𝜇21 = 0.05
𝜇21 = 0.10
𝜇21 = 0.15
(a)
𝜇12 = 0.00
𝜇12 = 0.00
𝜇12 = 0.00
𝜇12 = 0.00
(b)
t
c
e
ff
E
x5
x4
x3
x2
x1
j
x
↪
x
s
i
e
p
o
l
S
t
c
e
ff
E
x5
x4
x3
x2
x1
0.12
0.1
0.08
0.06
0.04
0.02
0
j
x
↪
x
s
i
e
p
o
l
S
0.15
0.12
0.09
0.06
0.03
0
x1
x2
x4
x5
x3
Cause
(d)
x1
x2
x4
x5
x3
Cause
(c)
Figure 3: Ascertaining and characterizing causation in various ecological systems of interacting species. (a, b) Unidirectional causation of
two coupled species. In (a), the values of the slope sx
2 are approximately 0.0004, 0.1167, 0.1203,
and 0.1238 for four different values of the coupling parameter μ
indicating its
nonexistence. (c, d) Inferred causal network of five species whose interacting structure is, respectively, that of a ring: xi↪xi+1ðmod 5Þ
(i = 1, ⋯, 5) and of a tree: x j↪xj+1,j+3 (j = 1, 2), where the estimated slope values are color-coded. Results of a statistical analysis of the
accuracy and reliability of the determined causal interactions are presented in SI Section III. Time series of length 5000 are used in all
these simulations. The embedding parameters are τs = 1 and ds = 3 with s = x
21. (b) Near zero slope values sx
associated with the causal relation x
for x
↪x
↪x
1,
↪x
↪x
1
2
2
1
1
2
1, ⋯, x
5.
show the results from ecological networks of five mutually
interacting species on a ring and on a tree structure, respec-
tively, where the color-coded slope values reflect accurately
the interaction patterns in both cases.
The second example is the coupled Lorenz system: _xi =
σiðyi − xiÞ + μijx j, _yi = xiðρi − ziÞ − yi, _zi = xiyi − βizi with i,
j = 1, 2 and i=j. We use time series fy
2,tgt=nω for
detecting different configurations of causation (see Section
III of SI). Figure 4 presents the overall result, where the
color-coded estimated values of the slope from the continu-
ity scaling are shown for different combinations of the sam-
pling rate 1/ω and coupling strength. Even with relatively
low sampling rate, our continuity scaling framework can
successfully detect and quantify the strength of causation.
Note that the accuracy does not vary monotonously with
the sampling rate, indicating the potential of our framework
1,t, y
to ascertain and quantify causation even with rare data.
Moreover, the proposed index can accurately reflect the true
causal strength (denoting by the coupling parameter), which
is also evidenced by numerical tests in Sections III and IV of
SI. Robustness tests against different noise perturbations are
provided in Section III of SI demonstrating the practical
usefulness of our framework. Additionally, analogous to
the first example, we present in SI several examples on cau-
sation detection in the coupled Lorenz system with nonlin-
ear couplings, and the Rössler-Lorenz system, etc., which
further demonstrates the generic efficacy of our framework.
In addition, we present study on several real-world data-
set, which brings new insights to the evolutionary mecha-
nism of underlying systems. We study gene expression
data from DREAM4 in silico Network Challenge [47, 48],
whose intrinsic gene regulatory networks (GRNs) are known
for verification (Figure 5(a) and Figure S17 of SI). Applying
6
Research
1
2
𝜇
6
4
2
0
5
4
3
2
1
0
2
y
↪
1
y
s
e
p
o
l
S
1
2
𝜇
6
4
2
0
1
y
↪
2
y
s
e
p
o
l
S
5
4
3
2
1
0
4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Sampling duration/0.001
(a)
4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Sampling duration/0.001
(b)
Figure 4: Detecting causation in the unidirectionally coupled Lorenz system. The results are for different values of μ
sampling rate 1/ω. (a, b) Color-coded values of the slopes sy
embedding parameters are ds = 7, τs ≈ 0:05 with ωjτs (s = y
including the time series lengths used in the simulations.
12 = 0) and
, respectively. The integration time step is 10−3 and the
and sy
2). See Section III and Table S9 of SI for all the other parameters
1 or y
21 (μ
↪y
↪y
1
2
1
2
100
45
44
43
1
0.8
0.6
0.4
0.2
e
t
a
r
e
v
i
t
i
s
o
p
e
u
r
T
0
0
75
36
69
37
67
25
85
38
10
62
72
96
23
83
87
73
Enhancer
Inhibitor
(a)
0.2
0.4
0.6
0.8
1
False positive rate
1, AUROC = 0.765
2, AUROC = 0.667
3, AUROC = 0.693
4, AUROC = 0.693
5, AUROC = 0.868
(b)
Figure 5: Detecting causal interactions in five GRNs. (a) One representative GRN containing 20 randomly selected genes. Other four
structures can be found in Figure S17 of SI. (b) The ROC curves as well as their AUROC values demonstrate the efficacy of our framework.
our framework to these data, we ascertain the causations
between each pair of genes by using the continuity scaling
framework. The corresponding ROC curves for five different
networks as well as their AUROC values are shown in
Figure 5(b), which indicates a high detection accuracy in
dealing with real-world data.
We then test the causal relationship in a marine ecosys-
tem consisting of Pacific sardine landings, northern anchovy
landings and sea surface temperature (SST). We reveal new
findings to support the competing relationship hypothesis
stated in [49] which cannot be detected by CCM [25]. As
pointed out in Figure 6, while common influence from SST
to both species is verified with both methods, our continuity
scaling additionally illuminates notable influence from
anchovy to sardine with its reverse direction being less sig-
nificant. While competing relationship plays an important
role in ecosystems, continuity scaling can reveal more essen-
tial interaction mechanism. See Section III.E of SI for more
details.
Moreover, we study the transmission mechanism of the
recent COVID-19 pandemic. Particularly, we analyze the
daily new cases of COVID-19 of representative countries
for two stages: day 1 (January 22 nd 2020) to day 100 (April
30 th 2020) and day 101 (May 1 st 2020) to day 391 (February
15 th 2021). Our continuity scaling is pairwisely applied to
reconstruct the transmission causal network. As shown in
Figure 7, China shows a significant effect on a few countries
at the first stage and this effect disappears at the second
stage. However, other countries show a different situation
with China, whose external effect lasts as shown in Section
III.E and Figure S18 of SI. Our results accord with that
China holds stringent epidemic control strategies with
Research
7
SST
SST
Sardine
Anchovy
Sardine
Anchovy
Continuity scaling
CCM
Figure 6: The comparison of causal network structure detected by continuity scaling and CCM among sea surface temperature, sardine, and
anchovy.
Figure 7: The causal effect from China to other countries of the COVID-19 pandemic detected by continuity scaling between stages 1 and 2.
Here, stage 1 is from January 22 nd 2020 to April 30 th 2020, and stage 2 is from May 1 st 2020 to February 15 th 2021. For those detected
causal links between all countries, refer to Section III.E and Figure S18 of SI. These maps are for illustration only.
sporadic domestic infections, as evidenced by official daily
briefings, demonstrating the potential of continuity scaling
in detecting causal networks for ongoing complex systems.
Additionally, We emphasize that day 100 is a suitable
critical day to distinguish the early severe stage and the late
well-under-control stage of the pandemic (see Figure S18(a)
of SI), while slight change of the critical day will not nullify
our result. As shown in Figure S18(b) of SI, when the
critical day varies from day 94 to day 106, no significant
change (less than 5%) of the detected causal links occurs at
both stages, and the number of countries under influence of
China at Stage 2 remains zero. See more details in Section
III.E of SI.
Additional real world examples including air pollutants
and hospital admission record from Hong Kong are also
shown in Section III of SI.
4. Discussion
To summarize, we have developed a novel framework for
data-based detection and quantification of causation in com-
plex dynamical systems. On the basis of the widely used
cross-map-based techniques, our framework enjoys a rigor-
ous foundation, focusing on the continuity scaling law of
the concerned system directly instead of only investigating
the continuity of its cross-map. Therefore, our framework
is consistent with the standard interpretation of causality,
and works even in the typical cases where several existing
typical methods do not perform that well or even they fail
(see the comparison results in Section IV of SI). In addition,
the mathematical reasoning leading to the core of our frame-
work, the continuity scaling, helps resolve the long-standing
issue associated with techniques directly using cross-map
that information about the resulting variables is required to
project
the causal variables,
whereas several works in the literature [50], which directly
studied the continuity or the smoothness of the cross-map,
likely yielded confused detected results on causal directions.
Computational complexity. The computational com-
plexity of the algorithm is OðT 2NεÞ, which is relatively
smaller than the CCM method, whose computational com-
plexity is OðT 2 log TÞ.
the dynamical behavior of
Limitations and future works. Nevertheless, there are
still some spaces for improving the presently proposed
framework. First, currently, only bivariate detection algo-
rithm is designed, so generalization to multivariate network
inference requires further considerations, as analogous to
those works presented in Refs. [51–53]. Second, the causal
time delay has not been taken into account in the current
framework, so it also could be further investigated, similar
to the work reported in Ref. [33]. Also, more advanced algo-
rithms, such as the one developed in Ref. [54], could be
8
Research
integrated into this framework for detecting those temporal
causal structures. Definitely, we will settle these questions
in our future work.
Detecting causality in complex dynamical systems has
broad applications not only in science and engineering, but
also in many aspects of the modern society, demanding
accurate, efficient, and rigorously justified and hence trust-
worthy methodologies. Our present work provides a vehicle
along this feat and indeed resolves the puzzles arising in the
use of those influential methods.
5. Methods
Continuity scaling framework: a detailed description of algo-
rithms. Let futgt=1,2,⋯,T and fvtgt=1,2,⋯,T be two experimen-
tally measured time series of internal variables fðxt, ytÞgt∈ℕ.
Typically, if the dynamical variables fðxt, ytÞgt∈ℕ are accessi-
ble, fðut, vtÞg reduce to one-dimensional coordinate of the
internal system. The key computational steps of our conti-
nuity scaling framework are described, as follows.
We reconstruct
the phase space using the classical
method of delay coordinate embedding [37] with the opti-
mal embedding dimension dz and time lag τz determined
by the methods in Refs. [55, 56] (i.e., the false nearest neigh-
bors and the delayed mutual information, respectively):
n
(cid:2)
L z ≜ z tð Þ = zt, zt+τz , ⋯, zt+ dz−1
ð
Þτz
(cid:3)
j
o
t = 1, ⋯, T
0
,
ð6Þ
z = u, v, T
where
Euclidean distance is used for both L u,v.
0 = min fT − ðdz − 1Þτzjz = u, vg,
and
We present the steps for causation detection using the
case of v↪u as an example.
We calculate the respective diameters for L u,v as
(cid:4)
Dz ≜ max distLz z tð Þ, z τð Þ
ð
Þ 1 ≤ t, τ ≤ T
j
(cid:5)
,
0
ð7Þ
where z = u, v, and z = u, v. We set up a group of numbers,
fε
u,N ε = Du, with the other ele-
u,jgj=1,⋯,N ε
ments satisfying
u,1 = e · Du, ε
, as ε
ln ε
u,j − ln ε
j − 1
u,1
=
ln ε
− ln ε
u,N ε
Nε − 1
u,1
,
ð8Þ
for j = 2, ⋯, N ε − 1. Then, in light of (2) with (3), we have
δt
v
ε
uð
(cid:6)
Þ = # It
u
ε
uð
Þ
(cid:7)−1 〠
τ∈It
u
ε
uð
Þ
distL v v tð Þ, v τ − 1
ð
ð
Þ
Þ,
ð9Þ
with
It
u
ε
uð
(cid:4)
(cid:8)
(cid:8)
Þ = τ ∈ ℕ distLu
u t + 1
ð
Þ, u τð Þ
ð
Þ < ε
u, t + 1 − τ
j
(cid:5)
j > E
ð10Þ
where numerically, ε
set fε
u,jgj=1,⋯,N ε
u alters its value successively from the
, and the threshold E is a positive number
0
0
vðε
chosen to avoid the situation where the nearest neighboring
points are induced by the consecutive time order only.
u,jÞg
vðε
u, where ℕT
As defined, hδt
uÞit∈ℕ is the average of δt
vðε
uÞ over all
t. We use a finite number of pairs
possible time
fðhδt
, ln ε
vðε
u,jÞit∈ℕT
to approximate the scaling
j=1,⋯,N ε
relation between hδt
uÞit∈ℕ and ln ε
= f1,
2,⋯,T
0g. Theoretically, a larger value of N ε and a smaller
value of e will result in a more accurate approximation of
the scaling relation. In practice, the accuracy is determined
by the length of the observational time series, the sampling
duration, and different types of noise perturbations. In
numerical simulations, we set e = 0:001 and N ε = 33. In addi-
tion, a too large or a too small value of ε
u can induce insuffi-
cient data to restore the neighborhood and/or the entire
manifold. We thus set δt
u,jÞ = δt
u,j+1Þ as a practical tech-
nique as the number of points is limited practically in a small
neighborhood. As a result, near zero slope values would
appear on both sides of the scaling curve hδt
uÞit∈ℕ-ln ε
u,
as demonstrated in Figure 3 and in SI. In such a case, to esti-
mate the slope of the scaling relation, we take the following
approach.
vðε
vðε
vðε
Define a group of numbers by
(cid:11)
(cid:9)
− δt
v
− ln ε
Sj ≜
ln ε
u,j+1
δt
v
t∈ℕT
(cid:11)
(cid:12)
(cid:10)
ε
0
u,j+1
u,j
(cid:9)
(cid:10)
(cid:12)
ε
u,j
t∈ℕT
0
,
ð11Þ
where j = 1, ⋯, Nε − 1, sort them in a descending order,
from which we determine the ½Nε + 1/2(cid:2) largest numbers,
collect their subscripts - j’s together as an index set ̂J, and
set H ≜ fj, j + 1jj ∈ ̂Jg. Applying the least squares method
to the linear regression model:
(cid:11)
(cid:12)
δt
v
ε
uð
Þ
t∈ℕ = S · ln ε
u + b
ð12Þ
with the dataset fðhδt
optimal values ð̂S,
finally obtain the slope of the scaling relation as s
, we get the
̂bÞ for the parameters ðS, bÞ in (12) and
u,jÞit∈ℕT
, ln ε
≜ ̂S.
u,jÞg
vðε
j∈H
0
v↪u
For the other causal direction from u to v, these steps are
equally applicable to estimating the slope s
u↪v.
0
To assess the statistical significance of the numerically
determined causation, we devise the following surrogate test
using the case of v causing u as an illustrative example.
Divide the time series fuðtÞgt∈ℕT
into NG consecutive
segments of equal length (except for the last segment - the
shortest segment). Randomly shuffle these segments and
then regroup them into a surrogate sequence f̂uðtÞgt∈ℕT
.
Applying such a random permutation method to fvðtÞgt∈ℕT
generates another surrogate sequence f̂vðtÞgt∈ℕT
. Carrying
out the slope computation yields ŝv↪̂u. The procedure can
be repeated for a sufficient number of times, say Q, which
consequently yields a group of estimated slopes, denoted as
fsq
̂v↪̂u is set as s
v↪u obtained from the
original time series. For all the estimated slopes, we calculate
̂v↪̂ugq=0,1⋯,Q, where s0
0
0
0
Research
9
their mean bμ
-value for s
v↪u is calculated as
v↪u and the standard deviation bσ
v↪u. The p
(cid:13)
s
ps
v↪u
≜ 1 − normcdf
(cid:14)
,
v↪u
ð13Þ
v↪u
bσ
− bμ
v↪u
where normcdf ½·(cid:2) is the cumulative Gaussian distribution
function. The principle of statistical hypothesis testing guar-
antees the existence of causation from v to u if ps
< 0:05.
In simulations, we set the number of segments to be
N G = 25 and the number of times for random permutations
to be Q ≥ 20.
v↪u
Additional Points
Code Availability. The source codes for our CS framework are
available at https://github.com/bianzhiyu/ContinuityScaling.
Conflicts of Interest
The authors declare no competing interests.
Authors’ Contributions
W.L. conceived idea. X.Y., S.-Y.L., and W.L. designed and
performed the research. X.Y., S.-Y.L., H.-F.M., and W.L.
analyzed the data. H.-F.M., Y.-C.L., and Q.N. contributed
data and analysis tools, and all the authors wrote the paper.
X.Y. and S.-Y.L. equally contributed to this work.
Acknowledgments
W.L. is supported by the National Key R&D Program of
China (Grant No. 2018YFC0116600), by the National Natu-
ral Science Foundation of China (Grant Nos. 11925103 and
61773125), by the STCSM (Grant No. 18DZ1201000), and
by the Shanghai Municipal Science and Technology Major
Project (No. 2021SHZDZX0103). Y.-C.L. is supported by
AFOSR (Grant No. FA9550-21-1-0438). S.-Y.L. is supported
by the National Natural Science Foundation of China (No.
12101133) and “Chenguang Program” supported by Shang-
hai Education Development Foundation and Shanghai
Municipal Education Commission (No. 20CG01). Q.N. is
partially supported by NSF (Grant No. DMS1763272) and
the Simons Foundation (Grant No. 594598). H.-F.M. is sup-
ported by the National Natural Science Foundation of China
(Grant No. 12171350) and by the National Key R&D Pro-
gram of China (Grant No. 2018YFA0801100).
Supplementary Materials
Supplementary materials: SI.pdf (where we include analytic
and computational details of the results in the main text.
This SI is helpful but not essential for understanding the
main results of the paper.) (Supplementary Materials)
References
[1] M. Bunge, Causality and Modern Science, Routledge, 2017.
[2] J. Pearl, Causality, Cambridge university press, 2013.
[3] J. Runge, S. Bathiany, E. Bollt et al., “Inferring causation from
time series in earth system sciences,” Nature Communications,
vol. 10, no. 1, p. 2553, 2019.
[4] F. S. Collins and H. Varmus, “A new initiative on precision
medicine,” New England Journal of Medicine, vol. 372, no. 9,
pp. 793–795, 2015.
[5] G. N. Saxe, A. Statnikov, D. Fenyo et al., “A complex systems
approach to causal discovery in psychiatry,” PloS One,
vol. 11, no. 3, article e0151174, 2016.
[6] D. R. Cox and D. V. Hinkley, Theoretical Statistics, CRC Press,
1979.
[7] T. M. Cover, Elements of Information Theory, John Wiley &
Sons, 1999.
[8] J. Pearl, “Causal inference in statistics: an overview,” Statistics
Surveys, vol. 3, pp. 96–146, 2009.
[9] N. Wiener, The Theory of Prediction, Modern mathematics for
engineers, 1956.
[10] C. W. Granger, “Investigating causal relations by econometric
models and cross-spectral methods,” Econometrica: Journal of
the Econometric Society, vol. 37, no. 3, pp. 424–438, 1969.
[11] S. Haufe, V. V. Nikulin, K. R. Müller, and G. Nolte, “A critical
assessment of connectivity measures for EEG data: a simula-
tion study,” NeuroImage, vol. 64, pp. 120–133, 2013.
[12] M. Ding, Y. Chen, and S. L. Bressler, “Granger causality: basic
theory and application to neuroscience,” Handbook of Time
Series Analysis: recent theoretical developments and applica-
tions, vol. 437, 2006.
[13] T. Schreiber, “Measuring information transfer,” Physical
Review Letters, vol. 85, no. 2, pp. 461–464, 2000.
[14] S. Frenzel and B. Pompe, “Partial mutual information for cou-
pling analysis of multivariate time series,” Physical Review Let-
ters, vol. 99, no. 20, article 204101, 2007.
[15] R. Vicente, M. Wibral, M. Lindner, and G. Pipa, “Transfer
entropy–a model-free measure of effective connectivity for
the neurosciences,” Journal of Computational Neuroscience,
vol. 30, no. 1, pp. 45–67, 2011.
[16] J. Runge, J. Heitzig, V. Petoukhov, and J. Kurths, “Escaping the
curse of dimensionality in estimating multivariate transfer
entropy,” Physical Review Letters, vol. 108, no. 25, article
258701, 2012.
[17] J. Sun, C. Cafaro, and E. M. Bollt, “Identifying the coupling
structure in complex systems through the optimal causation
entropy principle,” Entropy, vol. 16, no. 6, pp. 3416–3433,
2014.
[18] C. Cafaro, W. M. Lord, J. Sun, and E. M. Bollt, “Causation
entropy from symbolic representations of dynamical systems,”
Chaos: An Interdisciplinary Journal of Nonlinear Science,
vol. 25, article 043106, 2015.
[19] J. Sun, D. Taylor, and E. M. Bollt, “Causal network inference by
optimal causation entropy,” SIAM Journal on Applied Dynam-
ical Systems, vol. 14, no. 1, pp. 73–106, 2015.
[20] M. Solyanik-Gorgone, J. Ye, M. Miscuglio, A. Afanasev, A. E.
Willner, and V. J. Sorger, “Quantifying information via Shan-
non entropy in spatially structured optical beams,” Research,
vol. 2021, article 9780760, 2021.
[21] Y. Hirata and K. Aihara, “Identifying hidden common
causes from bivariate time series: a method using recurrence
plots,” Physical Review E, vol. 81, no. 1, article 016203,
2010.
10
Research
[22] R. Q. Quiroga, J. Arnhold, and P. Grassberger, “Learning
driver-response relationships from synchronization patterns,”
Physical Review E, vol. 61, no. 5, pp. 5142–5148, 2000.
[23] J. Arnhold, P. Grassberger, K. Lehnertz, and C. E. Elger, “A
robust method for detecting interdependences: application to
intracranially recorded eeg,” Physica D: Nonlinear Phenomena,
vol. 134, no. 4, pp. 419–430, 1999.
[24] D. Harnack, E. Laminski, M. Schünemann, and K. R. Pawelzik,
“Topological causality in dynamical systems,” Physical Review
Letters, vol. 119, no. 9, article 098301, 2017.
[25] G. Sugihara, R. May, H. Ye et al., “Detecting causality in com-
plex ecosystems,” Science, vol. 338, no. 6106, pp. 496–500,
2012.
[26] E. R. Deyle, M. Fogarty, C. H. Hsieh et al., “Predicting climate
effects on pacific sardine,” Proceedings of the National Acad-
emy of Sciences, vol. 110, no. 16, pp. 6430–6435, 2013.
[27] X. Wang, S. Piao, P. Ciais et al., “A two-fold increase of carbon
cycle sensitivity to tropical temperature variations,” Nature,
vol. 506, no. 7487, pp. 212–215, 2014.
[28] H. Ma, K. Aihara, and L. Chen, “Detecting causality from non-
linear dynamics with short-term time series,” Scientific
Reports, vol. 4, pp. 1–10, 2014.
[29] J. M. McCracken and R. S. Weigel, “Convergent cross-
mapping and pairwise asymmetric inference,” Physical Review
E, vol. 90, no. 6, article 062903, 2014.
[30] H. Ye, E. R. Deyle, L. J. Gilarranz, and G. Sugihara, “Distin-
guishing time-delayed causal interactions using convergent
cross mapping,” Scientific Reports, vol. 5, no. 1, article 14750,
2015.
[31] A. T. Clark, H. Ye, F. Isbell et al., “Spatial convergent cross
mapping to detect causal relationships from short time series,”
Ecology, vol. 96, no. 5, pp. 1174–1181, 2015.
[32] J.-J. Jiang, Z.-G. Huang, L. Huang, H. Liu, and Y.-C. Lai,
“Directed dynamical influence is more detectable with noise,”
Scientific Reports, vol. 6, no. 1, article 24088, 2016.
[33] H. Ma, S. Leng, C. Tao et al., “Detection of time delays and
directional interactions based on time series from complex
dynamical systems,” Physical Review E, vol. 96, no. 1, article
012221, 2017.
[34] J. M. Amigó and Y. Hirata, “Detecting directional couplings
from multivariate flows by the joint distance distribution,”
Chaos: An Interdisciplinary Journal of Nonlinear Science,
vol. 28, article 075302, 2018.
[35] Y. Wang, J. Yang, Y. Chen, P. De Maeyer, Z. Li, and W. Duan,
“Detecting the causal effect of soil moisture on precipitation
using convergent cross mapping,” Scientific Reports, vol. 8,
no. 1, pp. 1–8, 2018.
[36] S. Leng, H. Ma, J. Kurths et al., “Partial cross mapping elimi-
influences,” Nature Communications,
nates indirect causal
vol. 11, no. 1, pp. 1–9, 2020.
[37] F. Takens, “Detecting strange attractors in turbulence,” in
Dynamical Systems and Turbulence, Warwick 1980, Springer,
1981.
[38] N. H. Packard, J. P. Crutchfield, J. D. Farmer, and R. S. Shaw,
“Geometry from a time series,” Physical Review Letters, vol. 45,
no. 9, pp. 712–716, 1980.
[39] T. Sauer, J. A. Yorke, and M. Casdagli, “Embedology,” Journal
of Statistical Physics, vol. 65, no. 3-4, pp. 579–616, 1991.
[40] J. Stark, “Delay embeddings for forced systems. I. Determinis-
tic forcing,” Journal of Nonlinear Science, vol. 9, no. 3, pp. 255–
332, 1999.
[41] J. Stark, D. S. Broomhead, M. E. Davies, and J. Huke, “Delay
embeddings for forced systems. II. Stochastic forcing,” Journal
of Nonlinear Science, vol. 13, no. 6, pp. 519–577, 2003.
[42] M. R. Muldoon, D. S. Broomhead, J. P. Huke, and R. Hegger,
“Delay embedding in the presence of dynamical noise,”
Dynamics and Stability of Systems, vol. 13, no. 2, pp. 175–
186, 1998.
[43] P. Spirtes, C. N. Glymour, R. Scheines, and D. Heckerman,
Causation, Prediction, and Search, MIT press, 2001.
[44] B. Cummins, T. Gedeon, and K. Spendlove, “On the efficacy of
state space reconstruction methods in determining causality,”
SIAM Journal on Applied Dynamical Systems, vol. 14, no. 1,
pp. 335–381, 2015.
[45] H. Kantz and T. Schreiber, Nonlinear Time Series Analysis,
vol. 7, Cambridge university press, 2004.
[46] G. Lancaster, D.
Iatsenko, A. Pidde, V. Ticcinelli, and
A. Stefanovska, “Surrogate data for hypothesis testing of phys-
ical systems,” Physics Reports, vol. 748, pp. 1–60, 2018.
[47] D. Marbach, T. Schaffter, C. Mattiussi, and D. Floreano, “Gen-
erating realistic in silico gene networks for performance assess-
ment
of
Journal
Computational Biology, vol. 16, no. 2, pp. 229–239, 2009.
[48] D. Marbach, R. J. Prill, T. Schaffter, C. Mattiussi, D. Floreano,
and G. Stolovitzky, “Revealing strengths and weaknesses of
methods for gene network inference,” Proceedings of the
National Academy of Sciences, vol. 107, no. 14, pp. 6286–
6291, 2010.
engineering methods,”
reverse
of
[49] R. Lasker and A. Mac Call, “New ideas on the fluctuations of
the clupeoid stocks off California,” Proceedings of the Joint
Oceanographic Assembly, Halifax, August 1982: General Sym-
posia, Department of Fisheries and Oceans, Ontario, 1983.
[50] M. L. V. Quyen, J. Martinerie, C. Adam, and F. J. Varela, “Non-
linear analyses of interictal EEG map the brain interdepen-
dences in human focal epilepsy,” Physica D: Nonlinear
Phenomena, vol. 127, no. 3-4, pp. 250–266, 1999.
[51] J. Peters, D. Janzing, and B. Schölkopf, Elements of Causal
Inference: Foundations and Learning Algorithms, MIT Press,
2017.
[52] J. Runge, “Causal network reconstruction from time series:
from theoretical assumptions to practical estimation,” Chaos:
An Interdisciplinary Journal of Nonlinear Science, vol. 28, arti-
cle 075310, 2018.
[53] Y. Lou, L. Wang, and G. Chen, “Enhancing controllability
through redirecting
robustness of q-snapback networks
edges,” Research, vol. 2019, article 7857534, 23 pages, 2019.
[54] J.-W. Hou, H.-F. Ma, D. He, J. Sun, Q. Nie, and W. Lin, “Har-
vesting random embedding for high-frequency change-point
detection in temporal complex,” National Science Review,
vol. 9, article nwab228, 2022.
[55] A. M. Fraser and H. L. Swinney, “Independent coordinates for
strange attractors from mutual information,” Physical Review
A, vol. 33, no. 2, pp. 1134–1140, 1986.
[56] M. B. Kennel, R. Brown, and H. D. Abarbanel, “Determining
embedding dimension for phase-space reconstruction using a
geometrical construction,” Physical Review A, vol. 45, no. 6,
pp. 3403–3411, 1992.
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10.1088_1361-6501_ad180c.pdf
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Data availability statement
The data cannot be made publicly available upon publication
because they are owned by a third party and the terms of use
prevent public distribution. The data that support the findings
of this study are available upon reasonable request from the
authors.
|
Data availability statement The data cannot be made publicly available upon publication because they are owned by a third party and the terms of use prevent public distribution. The data that support the findings of this study are available upon reasonable request from the authors.
|
Meas. Sci. Technol. 35 (2024) 035605 (12pp)
Measurement Science and Technology
https://doi.org/10.1088/1361-6501/ad180c
Automated defect detection in precision
forging ultrasonic images based on
deep learning
Jianjun Zhao1, Yuxin Zhang1, Xiaozhong Du1,3,∗
and Xiaoming Sun2
1 School of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan 030024,
People’s Republic of China
2 College of Mechanical and Electrical Engineering, Central South University, Changsha 410083,
People’s Republic of China
3 School of Energy and Materials Engineering, Taiyuan University of Science and Technology, Jincheng
048000, People’s Republic of China
E-mail: xiaozhong_d@163.com
Received 26 July 2023, revised 6 December 2023
Accepted for publication 21 December 2023
Published 29 December 2023
Abstract
Ultrasonic testing is a widely used non-destructive testing technique for precision forgings.
However, assessing defects in ultrasonic B-scan images can be prone to errors, misses, and
inefficiencies due to human judgment. To address these challenges, we propose a method based
on deep learning to automate the evaluation of such images. We started by creating a dataset
comprising 8000 images, each measuring 224 × 224 pixels. These images were cropped from
ultrasonic B-scan images of 7 specimens, each featuring different sizes and locations of holes
and crack defects. We then used state-of-the-art deep learning models to benchmark the dataset
and identified YOLOv5s as the best-performing baseline model for our study. To address the
challenges of deploying deep learning models and the issue of small defects being easily
confused with the background in ultrasonic B-scan images, we made lightweight improvements
to the deep learning model. Additionally, we enhanced the quality of data labels through data
cleaning. Our experiments show that our method achieved a precision of 97.8%, a recall of
98.1%, mAP@0.5 of 99.0%, and mAP@.5:.95 of 67.6%, with a frames per second (FPS) of
74.5. Furthermore, the number of model parameters was reduced by 43.2%, while maintaining
high detection accuracy. Overall, our proposed method offers a significant improvement over
the original model, making it a more reliable and efficient tool for automated defect assessment
in ultrasonic B-scan images.
Keywords: deep learning, ultrasonic testing, automated detection, lightweight improvement
1. Introduction
The non-destructive testing of precision machined complex
forgings is crucial, as they are irreplaceable core components
in mechanical equipment. Ultrasonic testing is widely utilized
in non-destructive testing of precision forgings due to its ease
of use and ability to accurately locate defects [1]. While the
acquisition of ultrasonic data is largely automated, the analysis
∗
Author to whom any correspondence should be addressed.
of the acquired data is predominantly conducted manually by
professionally trained experts. The quality of the analysis res-
ults depends entirely on the knowledge and experience of the
analysts, which can lead to issues such as missed detections,
incorrect detections, and lengthy consumption times. As a res-
ult, numerous researchers have made efforts to develop auto-
mated methods for defect detection to streamline the analysis
process.
Figure 1 illustrates the basic scanning methods used in
ultrasonic testing imaging, including A-scans, B-scans, and
C-scans. In the past, most studies focused on using A-scan
1
© 2023 IOP Publishing Ltd
Meas. Sci. Technol. 35 (2024) 035605
J Zhao et al
Figure 1. Basic way of imaging with ultrasonic testing.
data for automated analysis of ultrasonic data due to the poor
imaging quality of B-scans images. For instance, in 2004,
Bettayeb et al [2] proposed an automated ultrasonic NDE
system that utilizes wavelet transform to suppress noise and
enhance defect localization in ultrasonic signals, along with
an artificial neural network classification algorithm, which
achieved defect classification. In 2006, Matz et al [3] util-
ized an ultrasonic signal filtering method with discrete wave-
let transform and a pattern recognition method with support
vector machines (SVMs) to classify A-scans signals into three
categories: fault echoes, weld echoes, and back wall echoes.
In 2007, Khelil et al [4] employed the principal component
analysis method to optimize the wavelet parameters extrac-
ted from ultrasonic echoes and establish a SVM algorithm
to classify planar and volumetric defects. In 2011, Sambath
et al [5] chose 12 coefficients from the wavelet representa-
tion of the echo signal as features, such as mean, variance,
energy, and amplitude, and inputted them to a neural net-
work with two hidden layers for training to identify four types
of defects with a 94% accuracy rate. In 2014, Chen et al
[6] proposed a hierarchical multiclass SVM (LMSVM) with
parameter optimization and feature selection using BA. The
method was proven to be robust, accurate, and reliable for
ultrasonic defect classification through experiments conducted
on a welding defect dataset. In 2017, Cruz et al [7] used three
different feature extraction methods, including the discrete
Fourier transform, wavelet transform, and cosine transform,
as well as two different artificial neural network architectures
to automatically classify welding defects. They achieved effi-
cient identification of defects using this approach. Meng et al
[8] proposed a deep convolutional neural network (CNN) with
a linear SVM top layer to classify cavity-layered ultrasonic
signals in carbon fiber-reinforced polymer (CFRP) samples.
In 2018, Munir et al [9] evaluated the performance of deep
and shallow neural networks for automatic classification of
weld defect ultrasonic signal data. They found that deep neural
networks had better performance, achieving the highest accur-
acy of 91.89% on a mixed-frequency dataset. In 2019, Munir
et al [10] applied CNNs to noisy ultrasonic features to improve
the classification performance and applicability of defects in
welded parts. Their experimental results showed that CNNs
can achieve fairly high defect classification accuracy even for
noisy signals. Guo et al [11] combined principal component
analysis (PCA) on adaptive enhancement (Adaboost), extreme
gradient enhancement (XGBboost), and SVM—three machine
learning models widely used in NDT—to compare their per-
formance on 220 laser ultrasonic signal data collected from 22
samples with different subsurface defect sizes. PCA XGBoost
achieved the highest recognition rate of 98.48%.
While many researchers have achieved good results with
automated analysis of A-scans, the evaluation datasets used
have only contained a few hundred or a few thousand A-scans.
Such datasets are hardly a complete representation of all pos-
sible shape variations when compared to the millions of A-
scans used in actual inspection tasks. Moreover, the lack of
surrounding information in the A-scans makes it challenging
to distinguish between noise and defect signals, which is not
conducive to defect classification.
Ultrasonic B-scan images provide valuable spatial inform-
ation for automated analysis of ultrasonic testing, and recent
advances in ultrasonic testing equipment have significantly
improved their imaging quality. In 2019, Posilovic et al [12]
2
Meas. Sci. Technol. 35 (2024) 035605
J Zhao et al
Figure 2. System framework.
tested the performance of YOLO and SSD models in detecting
defects from 98 real B-scan data by means of data augmenta-
tion, and YOLO achieved better detection results with an aver-
age accuracy (AP) of 89.7%. Virupakshappa et al [13] simu-
lated a total of 400 ultrasonic B-scan images of various defect
types and demonstrated that deep learning methods, such as
CNN, can be used for defect identification in ultrasonic NDT
with high classification accuracies. In 2021, Ye et al [14] cre-
ated a new ‘USimgAIST’ dataset of over 7000 real ultrasonic
testing images of 17 types of defects and benchmarked the
dataset using state-of-the-art deep learning models. DenseNet
achieved the best result with an f1 score of 95.33% in the work
of Virkkunen et al [15], who used data augmentation to bring
the deep learning network to human evaluation levels of per-
formance in identifying cracks in pipe welds. Latete et al [16]
used simulated and experimental data to train the Faster R-
CNN, which allowed accurate identification, localization and
sizing of flat bottom holes and side drilled holes in the speci-
men. Medak et al [17] achieved 89.6% mAP for the detection
of extreme aspect ratio defects commonly found in ultrasonic
images by training the EfficientDet deep learning framework
with adjusted hyperparameters.
These studies demonstrate that deep learning has great
potential for ultrasonic testing image recognition, and the com-
bination of deep learning algorithms with ultrasonic testing B-
scan images recognition has considerable significance in terms
of improving detection efficiency and ensuring discriminatory
accuracy. However, most of the research has been conducted
based on simulation data, and there are no scholars who have
systematically studied various aspects of data acquisition, data
cleaning, deep learning model selection and model improve-
ment in practical industrial applications.
In this study, we have conducted comprehensive research
on Dataset creation, benchmark selection for deep learn-
ing models and model improvement methods. The overall
framework of our approach is illustrated in figure 2. We
have evaluated the performance of the latest deep learning
models for automated defect evaluation of ultrasonic images
in precision forgings using our self-built datasets. We have
used YOLOv5s as the baseline and fine-tuned the automated
ultrasonic image detection process through lightweight model
improvements and data cleaning methods. Our study provides
some insight into the deployment of deep learning models
for automated defect assessment applications in ultrasonic
images.
2. Construction of ultrasonic image dataset
There is currently a lack of publicly available large-scale data-
sets for ultrasonic testing due to the diversity and variability of
defects and the difficulty in obtaining sample data. To address
this gap and develop an automated evaluation algorithm for
ultrasonic testing images, we collected data from 7 samples
containing hole defects ranging from 0.5 mm to 1 mm in dia-
meter and crack defects less than 1 mm in width. Data was
acquired using an AOS phased-array ultrasonic real-time total
focus imaging system, as shown in figure 3. The phased-array
transducer utilized had a frequency of f = 5 MHz, 128 arrays,
a width of e = 0.65 mm, a gap of g = 0.1 mm between
arrays, a center distance of p = 0.75 mm, and a height of
w = 10 mm.
A total of 30 ultrasonic B-scan images were acquired using
the Total Focus Imaging Algorithm (TFM), comprising 28
images with defects and 2 images without defects. To enhance
the sample size for improved training of the deep learning
model, the images were randomly cropped to generate 8000
B-scan images of 224 × 224 pixels. These images were ana-
lyzed and labeled by multiple engineers to identify the types
and locations of defects, as illustrated in table 1. The dataset
was divided into a training set, validation set, and test set in a
3:1:1 ratio.
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Meas. Sci. Technol. 35 (2024) 035605
J Zhao et al
Figure 3. Phased array ultrasonic real-time total focus imaging system.
Table 1. Dataset division.
Number of
hole defects
Number of
crack defects
Number of
defective images
Number of
defect-free images
Total number
of images
Training set
Validation set
Test set
Total
7543
2471
2465
12 470
1190
362
368
1920
4088
1379
1380
6847
692
231
230
1153
4780
1610
1610
8000
Figure 4 displays ultrasonic B-scan images of the defect-
ive and healthy samples we acquired, which contain holes
and cracks. While crack defects are clearly visible through
inspection, some tiny hole defects are not eas-
visual
ily distinguishable from the background. This difficulty in
detection can lead to missed or false detections during
analysis.
Due to the small size of hole defect targets and the pres-
ence of some background noise in B-scan images, engineers
may encounter problems during annotation, such as miss-
ing defect annotations, mislabeled types, oversized bound-
ing boxes, and bounding boxes with center points outside the
image. To address these issues, we used the method shown in
figure 5 to automatically retrieve data and obtained over 200
images with problematic annotations. We then re-annotated
these images.
The dataset after data cleaning was divided as shown in
table 2.
3. Baseline testing
trained all models on a machine equipped with a single
NVIDIA GTX 1070 (8G) graphics card, using the default
hyperparameter settings and the maximum batch size accept-
able for that card.
To evaluate the performance of each model, we used four
statistics: TP (True Positive), FP (False Positive), TN (True
Negative), and FN (False Negative). Based on these statist-
ics, we introduced six evaluation metrics: Precision (P), Recall
(R), mAP@0.5, mAP@.5:.95, number of model parameters
(Params), and frames per second (FPS).
Precision, which refers to the probability of detecting the
correct target in all detected targets, can be calculated using
equation (1). Recall, which refers to the probability of correct
recognition among all positive samples, can be derived from
equation (2)
Precision =
TP
TP + FP
Recall =
TP
TP + FN
.
(1)
(2)
In this study, we aimed to evaluate the performance of various
deep learning models on our acquired ultrasonic defect dataset.
Specifically, we compared YOLOv3 [18], YOLOv5, YOLOv7
[19], YOLOR [20], EffcientDet [21], and the two-stage detec-
tion model Faster-RCNN [22], which are among the most
commonly used models in the field of object detection. We
A Precision-Recall curve can be plotted from an array con-
taining Precision and Recall values, and the average precision
AP is the area under the curve, calculated as follows:
1ˆ
AP =
p (r) dr.
(3)
0
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Meas. Sci. Technol. 35 (2024) 035605
J Zhao et al
Figure 4. Ultrasonic B-scan images of (a) holes, (b) cracks, (c) no defects.
mAP is the mean of all classes of AP:
the YOLOv5s model was chosen as the baseline for further
research.
mAP =
1
n
n∑
i =1
APi
(4)
4. Methods
where n represents the type of defect, mAP@0.5 represents the
mAP value when IoU is set to 0.5, and mAP@.5:.95 represents
the average mAP at different IoU thresholds (from 0.5 to 0.95,
step size 0.05).
Table 3 shows that among the deep learning models tested,
the YOLOv5s model achieved the highest levels of preci-
sion, mAP@.5:.95, and FPS. While the recall rate was only
3.0% lower than the best-performing YOLOR-P6 model.
Compared to the best performing EfficientDet d0, the differ-
ence in mAP@0.5 was only 0.7%. As the localization effect
of defects and re-al-time detection are of more importance,
Although the YOLOv5s model already exhibits good infer-
ence speed and detection performance, this study still faces
some challenges that need to be addressed. Firstly, during the
detection of hole defects, the small size of the target leads to
a low Precision and Recall of YOLOv5s, resulting in missed
detections. Secondly, the large number of convolutional and
deep neural network structures can lead to excessive model
complexity, which is not suitable for deployment to mobile or
embedded systems.
To address these issues, this study optimized the model
structure and used data cleaning methods to improve the
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Meas. Sci. Technol. 35 (2024) 035605
J Zhao et al
Figure 5. Data cleaning process.
Table 2. Data cleaning results.
Number of
hole defects
Number of
crack defects
Number of
defective images
Number of
defect-free images
Total number
of images
Training set
Validation set
Test set
Total
7502
2481
2458
12 441
1190
362
368
1920
4082
1383
1371
6836
698
227
239
1164
4780
1610
1610
8000
Table 3. Benchmarking experiments.
Model
Faster-RCNN(resnet50)
YOLOv3 spp
YOLOv5s
YOLOv7
YOLOR-P6
EffcientDet d0
Size
224
512
640
640
640
512
P
0.899
0.864
0.937
0.882
0.653
0.941
R
0.902
0.871
0.936
0.901
0.966
0.937
6
mAP@0.5
mAP@.5:.95
FPS
Params
0.936
0.901
0.96
0.925
0.933
0.967
0.558
0.471
0.591
0.471
0.506
0.537
17
21
72
23
35
29
41.8M
62.5M
7.02M
36.9M
36.8M
3.9M
Meas. Sci. Technol. 35 (2024) 035605
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Figure 6. Improved YOLOv5s model.
Figure 7. CBS_CBAM module.
efficiency of automated defect detection in ultrasonic images.
The optimized YOLOv5s model structure is shown in figure 6.
4.1. YOLOv5s model improvement
To improve detection efficiency and enhance the network’s
focus on the target, we incorporated CBAM into the CBS
module in layers 1, 3, and 5 of the backbone network.
As shown in figure 7,
the CBAM module [23] sequen-
tially infers the attention graph through the channel atten-
tion module and the spatial attention module. The chan-
nel attention module leverages the information between fea-
ture channels, while the spatial attention module leverages
the information between feature spaces. The attention graph
is then multiplied with the input feature graph for adapt-
ive feature optimization, which effectively attends to small
targets.
To fulfill the requirements of industrial applications, we
introduced the Ghost module [24] for a lightweight net-
work design, by replacing the CBS module at layer 7 with
GhostConv. In figure 8(a), GhostConv is performed in two
steps: firstly, using normal convolution to obtain fewer fea-
ture maps, then applying a second convolution on top of it
to obtain more feature maps, and finally concatenating the
different feature maps together to produce a new output. We
replaced the C3 module in Backbone with C3Ghost, whose
structure is shown in figure 8(c), mainly consisting of ordinary
convolution and the GhostBottleneck as shown in figure 8(b).
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Meas. Sci. Technol. 35 (2024) 035605
J Zhao et al
Figure 8. (a) GhostConv, (b) GhostBottleneck and (c) C3Ghost modules.
The GhostBottleneck module allows sufficient or redundant
information to be provided in the feature layer, to always
ensure the model’s understanding of the input data.
To address the small and medium-sized target defects in this
study, which are mainly concentrated in the shallow part of the
neural network, we reduced the number of C3Ghost modules
in layers 2, 4, and 6 of the backbone network from the ori-
ginal [3, 6, 9] to [2, 4, 6]. This adjustment effectively improves
the network’s detection capability for small and medium-sized
targets.
To reduce computational complexity and network structure
while maintaining accuracy, the CBS module of the neck net-
work was replaced with GhostConv, and the C3 module was
replaced with C3Ghost, effectively compressing the network
parameters of YOLOv5s.
IOU =
B1 ∩ B2
B1 ∪ B2
(6)
where ρ2 (b, bgt) represents the Euclidean distance between the
centroids of the prediction frame and the true frame. c repres-
ents the diagonal distance of the smallest closed area that can
contain both the prediction box and the true box, B1 for the
true box and B2 for the prediction box.
a =
v
1 − IOU + v
(
v =
4
π 2
arctan
wgt
hgt
− arctan
)
2
w
h
LOSSCIOU = 1 − IOU +
ρ2 (b, bgt)
c2
+ av
(7)
(8)
(9)
4.2. Comparison of loss functions
YOLOv5 defaults to using the CIOU loss function, and CIOU
Loss takes into account the overlap area, centroid distance and
aspect ratio of the bounding box regression though. As shown
in equation (5):
CIOU = IOU − ρ2 (b, bgt)
c2
− av
(5)
where a is the weight function and v reflects the difference in
aspect ratio rather than the true difference between the aspect
ratio and its confidence level respectively, so this can some-
times prevent the model from optimizing similarity effect-
ively, for which we introduced the EIOU loss function and
compared it with the CIOU loss function. EIOU loss was pro-
posed by Zhang et al [25] in 2021, which minimizes the differ-
ence between the width and height of the target frame and the
8
Meas. Sci. Technol. 35 (2024) 035605
J Zhao et al
Anchor, producing faster convergence and better localization
results.
in Precision, a 0.8% increase in Recall, a 43.2% reduction in
the amount of parameters, and an increase in FPS to 75.1.
The comparison of solutions A, D, E, and G reveals that
although optimizing the backbone network can reduce the
model’s parameter count, it does not significantly improve
the FPS. This is because the introduction of the CBAM
attention mechanism in the improved backbone network
increased the network layers, thus affecting the inference
speed.
Solution D involved lightweight design specifically for
the backbone and neck networks, achieving a superior bal-
ance between mAP and params. This approach resulted
in the best detection performance. While ensuring detec-
tion accuracy,
it significantly reduced the model’s para-
meter count, enhancing detection efficiency. It meets the
requirements of accuracy and real-time performance in
the lightweight
industrial defect detection. Additionally,
model is well-suited for practical deployment in production
environments.
In order to demonstrate the impact of data quality on
the model’s detection accuracy, this study trained and tested
the original YOLOv5s model and the improved model on
the cleaned dataset. The results are presented in table 5,
which clearly shows that data cleaning can effectively improve
all aspects of model metrics. Precision improved by 4.5%
and mAP@0.5 by 3.2%. Moreover, compared to the original
YOLOv5s model, the improved model has only 0.1% lower
mAP@.5:.95, but the number of model parameters is reduced
by 43.2%, FPS is also slightly improved, and several other
indicators have not changed significantly. Therefore, in prac-
tical applications, it is more productive to identify the deep
learning model first and then look for ways to improve the
data.
Figure 9 illustrates a comparison of the mAP between
the improved algorithm and the original algorithm during the
training phase. It can be observed that the convergence rate of
the improved model is similar to that of the original model,
indicating that the improvements made in this study do not
affect the model’s convergence.
Figure 10 illustrates the detection results of the YOLOv5s
model before and after the improvement. The green circles
represent the defects that were missed. Compared to the
YOLOv5s model, the improved method in this study still
has some cases of missing detection for small defects that
are difficult to distinguish with the naked eye. However, it
achieves a high accuracy rate of detection overall. This indic-
ates that the lightweight model proposed in this study has
excellent detection performance and can meet the accuracy
and real-time performance requirements in industrial defect
detection.
The equation for EIOU loss is as follows:
LOSSEIOU = LOSSIOU + LOSSdis + LOSSasp
= 1 − IOU +
ρ2 (b, bgt)
c2
+
ρ2 (w, wgt)
C2
w
+
ρ2 (h, hgt)
C2
h
(10)
where C2
rectangle of the predicted and real boxes.
w and C2
h are the width and height of the smallest outer
The EIOU equation consists of three parts. LOSSIOU is the
loss of overlap between the predicted and true frames, LOSSdis
is the loss of distance between the center of the predicted and
true frames, which is the same as that of CIOU, and LOSSasp is
the loss of width and height of the predicted and true frames.
5. Experimental results and discussion
To validate the impact of the improvements described in this
study on the detection performance of the model, an evaluation
was carried out on the ultrasound B-scan dataset that we col-
lected. We set up 7 solutions to analyze the different improve-
ment components, each using the same training parameters.
Table 4 shows the results of the evaluation. Solution A
optimizes the backbone network by using the CBS_CBAM
structure, adding a channel attention module and a spatial
attention module to enhance the detection of small targets,
replacing the Conv module at layer 7 with GhostConv, and
replacing the C3 module with C3Ghost. The mAP@.5:.95
only reduced by 0.6%, while the amount of model paramet-
ers was reduced by 24.8%, and the FPS increased to 73.6.
Solution B improves the neck network by replacing the
Conv module with GhostConv and the C3 module with
C3Ghost, reducing the amount of model parameters by 18.5%
and increasing the FPS considerably to 85.7. Solution C uses
the EIOU loss function to replace the original CIOU loss to
improve the localization accuracy of the model bounding box,
with effective improvements in Precision, Recall, and FPS.
Solutions D, E, and F were subjected to two-by-two cross-
validation, and the comparison revealed that improving the
backbone and neck networks could significantly reduce the
number of model parameters. Improving the IOU loss could
improve the Recall rate and reduce defect misses.
Solution G has been improved for all three areas. Although
mAP@0.5 is reduced by 0.2% and mAP@.5:.95 by 2.2% com-
pared to the original YOLOv5s model, there is a 0.6% increase
9
Meas. Sci. Technol. 35 (2024) 035605
J Zhao et al
Model
Backbone
Neck
EIOU
P
R
mAP@0.5
mAP@.5:.95
Params
FPS
Table 4. Ablation experiments.
YOLOv5s
Solution A
Solution B
Solution C
Solution D
Solution E
Solution F
Solution G
3
3
3
3
3
3
3
3
3
3
3
3
0.937
0.936
0.935
0.945
0.941
0.943
0.943
0.942
0.936
0.936
0.931
0.944
0.936
0.944
0.943
0.944
0.96
0.957
0.958
0.961
0.961
0.962
0.96
0.958
0.591
0.585
0.586
0.589
0.572
0.588
0.582
0.569
7.02M
5.28M
5.72M
7.02M
3.99M
5.28M
5.72M
3.99M
Table 5. Data cleaning test results.
Model
YOLOv5s
YOLOv5s + Data cleaning
Solution D + Data cleaning
P
0.937
0.982
0.978
R
0.936
0.981
0.981
mAP@0.5
mAP@.5:.95
0.96
0.992
0.990
0.591
0.677
0.676
Params
7.02M
7.02M
3.99M
72.6
73.6
85.7
86.1
74.5
74.4
85.5
75.1
FPS
72.6
72.6
74.5
Figure 9. Comparison of (a) mAP@0.5 and (b) mAP@.5:.95 for Solution D and YOLOv5s.
Figure 10. Detection results of (a) YOLOv5s and (b) Solution D.
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Meas. Sci. Technol. 35 (2024) 035605
J Zhao et al
6. Conclusion
Consent for publication
To achieve effective automation in the detection of ultrasound
B-scan images, this study proposes an improved YOLOv5
model, making the following contributions:
All authors have consented to have this work published and
have approved of submission to the Measurement Science and
Technology.
(1) A baseline test was conducted on the constructed data-
set, comparing the performance of YOLOv3, YOLOv5,
YOLOv7, YOLOR, EfficientDet, and Faster-RCNN. The
YOLOv5 model was identified as the most efficient
method for analyzing ultrasound B-scan images currently
available.
(2) The YOLOv5 model was enhanced by incorporating
the CBAM attention mechanism and GhostConv light-
weight convolution, simplifying the model complexity and
improving detection efficiency.
(3) From a
data
nificantly
accuracy.
data-centric
perspective,
an
cleaning method was
employed
enhance
the
algorithm’s
automated
to
sig-
detection
The primary objective of this study is to validate the feasib-
ility and effectiveness of the developed method. It is acknow-
ledged that defects in real-world applications might be even
more intricate. The breadth of collected ultrasound data and
the extent of automated quantitative analysis will be explored
in future work.
Data availability statement
The data cannot be made publicly available upon publication
because they are owned by a third party and the terms of use
prevent public distribution. The data that support the findings
of this study are available upon reasonable request from the
authors.
Acknowledgments
The author would like to thank the anonymous reviewers
for constructive comments and suggestions which led to an
improved presentation.
Funding
This work was supported by the General Project of the
National Natural Science Foundation of China, Project No.
in
51875501; Postgraduate Education Innovation Project
Shanxi Province of China, Project No. 2022Y671, and the
Natural Science Foundation of Shanxi Province, China,
Project No. 202103021224273.
Conflict of interest
The authors declare that we have no competing interest.
11
Authors’ contributions
Z J and D X wrote most of the manuscript text and gener-
ated all the graphics. Z J and Z Y developed the algorithm and
wrote the program. S X wrote the introduction and provided
background information and references.
ORCID iD
Jianjun Zhao https://orcid.org/0009-0003-2931-0379
References
[1] Zhao J, Zhang Z, Zhang M and Du X 2022 Scanning path
planning of ultrasonic testing robot based on deep image
processing Russ. J. Nondestruct. Test. 58 167–75
[2] Bettayeb F, Rachedi T and Benbartaoui H 2004 An improved
automated ultrasonic NDE system by wavelet and neuron
networks Ultrasonics 42 853–8
[3] Matz V, Kreidl M and Smid R 2006 Classification of
ultrasonic signals Int. J. Mater. Prod. Technol.
27 145–55
[4] Khelil M, Boudraa M, Kechida A and Drai R 2007
Classification of defects by the SVM method and the
principal component analysis (PCA) Int. J. Electr. Comput.
Eng. 1 1–6
[5] Sambath S, Nagaraj P and Selvakumar N 2011 Automatic
defect classification in ultrasonic NDT using artificial
intelligence J. Nondestruct. Evaluation 30 20–28
[6] Chen Y, Ma H and Zhang G 2014 A support vector machine
approach for classification of welding defects from
ultrasonic signals Case Stud. Nondestruct. Test. Eval.
29 243–54
[7] Cruz F C, Filho E F S, Albuquerque M C S, Silva I C,
Farias C T T and Gouvea L L 2017 Efficient feature
selection for neural network based detection of flaws in
steel welded joints using ultrasound testing Ultrasonics
73 1–8
[8] Meng M, Chua Y J, Wouterson E and Ong C P K 2017
Ultrasonic signal classification and imaging system for
composite materials via deep convolutional neural networks
Neurocomputing 257 128–35
[9] Munir N, Kim H, Song S and Kang S 2018 Investigation of
deep neural network with drop out for ultrasonic flaw
classification in weldments J. Mech. Sci. Technol.
32 3073–80
[10] Munir N, Kim H, Park J, Song S and Kang S 2019
Convolutional neural network for ultrasonic weldment
flaw classification in noisy conditions Ultrasonics
94 74–81
[11] Lv G, Guo S, Chen D, Feng H, Zhang K, Liu Y and Feng W
2023 Laser ultrasonics and machine learning for automatic
defect detection in metallic components NDT & E Int.
133 102752
[12] Posilovic L, Medak D, Subasic M, Petkovic T, Budimir M and
Loncaric S 2019 Flaw detection from ultrasonic images
using YOLO and SSD Proc. 11th Int. Symp. Image Signal
Process. Anal (ISPA) pp 163–8
Meas. Sci. Technol. 35 (2024) 035605
J Zhao et al
[13] Virupakshappa K and Oruklu E 2019 Multi-class classification
[20] Wang C, Yeh I and Liao H M 2021 You only learn one
of defect types in ultrasonic NDT signals with
convolutional neural networks Proc. IEEE Int. Ultr. Symp.
(IUS) pp 1647–50
[14] Ye J and Toyama N 2021 Benchmarking deep learning models
for automatic ultrasonic imaging inspection IEEE Access
9 36986–94
[15] Virkkunen I, Koskinen T, Jessen-Juhler O and Rinta-Aho J
2021 Augmented ultrasonic data for machine learning J.
Nondestruct. Evaluation 40 1–11
[16] Latete T, Gauthier B and Belanger P 2021 Towards using
representation: unified network for multiple tasks
(arXiv: 2105.04206)
[21] Tan M, Pang R and Le Q V 2020 EfficientDet: scalable and
efficient object detection 2020 IEEE/CVF Conf. on
Computer Vision and Pattern Recognition (CVPR) (Seattle,
WA, USA) pp 10778–87
[22] Ren S, He K, Girshick R and Sun J 2017 Faster R-CNN:
towards real-time object detection with region proposal
networks IEEE Trans. Pattern Anal. Mach. Intell.
39 1137–49
convolutional neural network to locate, identify and size
defects in phased array ultrasonic testing Ultrasonics
115 106436
[23] Woo S, Park J, Lee J and Kweon I S 2018 CBAM:
convolutional block attention module Proc. European Conf.
on Computer Vision pp 3–19
[17] Medak D, Posilovic L, Subasic M, Budimir M and Loncariic S
[24] Han K, Wang Y, Tian Q, Guo J, Xu C and Xu C
2021 Automated defect detection from ultrasonic images
using deep learning IEEE Trans. Ultrason. Ferroelectr.
Freq. 68 3126–34
[18] Redmon J and Farhadi A 2018 YOLOv3: an incremental
2020 GhostNet: more features from cheap operations 2020
IEEE/CVF Conf. on Computer Vision and Pattern
Recognition (CVPR) (Seattle, WA, USA)
pp 1577–86
improvement (arXiv:1804.02767)
[25] Zhang Y, Ren W, Zhang Z, Jia Z, Wang L and
[19] Wang C, Bochkovskiy A and Liao H M 2022 YOLOv7:
trainable bag-of-freebies sets new state-of-the-art for
real-time object detectors (arXiv: 2207.02696)
Tan T 2022 Focal and efficient IOU loss for accurate
bounding box regression Neurocomputing
506 146–57
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10.1038_s41467-022-30406-4.pdf
|
Data availability
The cryo-EM particle stacks, maps and models generated in this study have been
deposited in EMPIAR image archive, EMDB database and the Protein Data Bank,
respectively, under accession codes EMPIAR-10969, EMD-25757 and PDB-7T9G) for
VcINDY-Na+ (300 mM) structure and under accession codes EMPIAR-10970, EMD-
25756 and PDB-7T9F) for VcINDY-Ch+ structure. Source Data for Fig. 4 are available
with the paper.
|
Data availability The cryo-EM particle stacks, maps and models generated in this study have been deposited in EMPIAR image archive, EMDB database and the Protein Data Bank, respectively, under accession codes EMPIAR-10969, EMD-25757 and PDB-7T9G ) for VcINDY-Na + (300 mM) structure and under accession codes EMPIAR-10970, EMD- 25756 and PDB-7T9F ) for VcINDY-Ch + structure. Source Data for Fig. 4 are available with the paper.
|
ARTICLE
https://doi.org/10.1038/s41467-022-30406-4
OPEN
Structural basis of ion – substrate coupling in the
Na+-dependent dicarboxylate transporter VcINDY
David B. Sauer1,2,4, Jennifer J. Marden1,2, Joseph C. Sudar
Da-Neng Wang
1,2✉
2, Jinmei Song1,2, Christopher Mulligan
3✉
&
;
,
:
)
(
0
9
8
7
6
5
4
3
2
1
The Na+-dependent dicarboxylate transporter from Vibrio cholerae (VcINDY) is a prototype
for the divalent anion sodium symporter (DASS) family. While the utilization of an electro-
chemical Na+ gradient to power substrate transport is well established for VcINDY, the
structural basis of this coupling between sodium and substrate binding is not currently
understood. Here, using a combination of cryo-EM structure determination, succinate binding
and site-directed cysteine alkylation assays, we demonstrate that the VcINDY protein
couples sodium- and substrate-binding via a previously unseen cooperative mechanism by
conformational selection. In the absence of sodium, substrate binding is abolished, with the
succinate binding regions exhibiting increased flexibility, including HPinb, TM10b and the
substrate clamshell motifs. Upon sodium binding, these regions become structurally ordered
and create a proper binding site for the substrate. Taken together, these results provide
strong evidence that VcINDY’s conformational selection mechanism is a result of the
sodium-dependent formation of the substrate binding site.
1 Department of Cell Biology, New York University School of Medicine, New York, NY 10016, USA. 2 Skirball Institute of Biomolecular Medicine, New York
University School of Medicine, New York, NY 10016, USA. 3 School of Biosciences, University of Kent, Canterbury, Kent, UK. 4Present address: Centre for
Medicines Discovery, Nuffield Department of Medicine, University of Oxford, Oxford, UK.
email: c.mulligan@kent.ac.uk; da-neng.wang@med.nyu.edu
✉
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1
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VcINDY is a Na+-dependent dicarboxylate transporter that
imports TCA cycle intermediates across the inner mem-
brane of Vibrio cholerae1,2. The detailed structural and
mechanistic understanding of VcINDY1–4 has made the protein
a prototype of the divalent anion sodium symporter (DASS)
family (Supplementary Fig. 1a, b)5. Within the human genome,
the SLC13 genes encode for DASS members including the
Na+-dependent, citrate transporter (NaCT) and dicarboxylate
transporters 1 and 3 (NaDC1 and NaDC3)6. Besides functioning
as TCA cycle intermediates, DASS-imported substrates are cen-
tral to a number of cellular processes. In bacteria C4-carboxylates
can serve as the sole carbon source for growth7, while imported
citrate and tartrate are electron acceptors during fumarate
respiration8. Citrate is also a precursor for both fatty acid bio-
synthesis and histone acetylation in mammals9,10. Dicarboxylates
such as succinate and α-ketoglutarate act as signaling molecules
that regulate the fate of naive embryonic stem cells and certain
types of cancer cells11,12. As a result of these roles in regulating
cellular di- and tricarboxylate levels, mutations in DASS trans-
porters have dramatic physiological consequences. Deletion of
bacterial DASS transporters can abolish growth on particular
dicarboxylates7,8. Mutations in the human NaCT transporter
cause SLC13A5-Epilepsy in newborns13, whereas variants in
the dicarboxylate transporter NaDC3 lead to acute reversible
leukoencephalopathy14. In mice, knocking out NaCT results in
protection from obesity and insulin resistance15. Such roles of
SLC13 proteins in cell metabolism have made them attractive
targets for the treatment against obesity, diabetes, cancer and
epilepsy16–18. Therefore, mechanistic characterization of
the
prototype transporter VcINDY will help us to better understand
the transport mechanism of the entire DASS family, including the
human di- and tricarboxylate transporters.
The VcINDY protein is a homodimer consisting of a scaffold
domain and a transport domain (Supplementary Fig. 1b–f)1. The
conservation of this architecture throughout the DASS/SLC13
family has been confirmed by X-ray crystallography and cryo-
electron microscopy (cryo-EM) structures of VcINDY, LaINDY,
a dicarboxylate exchanger from Lactobacillus acidophilus, and the
human citrate transporter NaCT1,4,19,20. Comparison of VcINDY
in its inward-facing (Ci) conformation with the outward-facing
(Co) structure of LaINDY, along with MD simulations, reveals
that an elevator-type movement of the transport domain, through
an ~12 Å translation along with an ~35° rotation, facilitates
translocation of the substrate from one side of the membrane
to the other19. In fact, the structural and mechanistic conserva-
tion may extend beyond DASS to the broader Ion Transport
Superfamily (ITS)5,21.
Substrate transport of VcINDY is driven by the inwardly-
directed Na+ gradient, with dicarboxylate import coupled to the co-
transport of three sodium ions (Supplementary Fig. 1a, b)1,2,22. The
binding sites for the substrate and two central Na+s have been
identified in the structures of VcINDY in its Na+- and substrate-
bound inward-facing (Ci-Na+-S) state (Supplementary Fig. 1e, f)1,4.
The Na1 site on the N-terminal half of the transport domain is
defined by a clamshell formed by loop L5ab and the tip of hairpin
HPin. A second clamshell encloses Na2, related to Na1 by inverted-
repeat pseudo-symmetry in the sequence and structure, and formed
by L10ab and the tip of hairpin HPout (Supplementary Fig. 1c).
In addition to binding the Na+s, both hairpin tips also form parts of
located between the Na+ sites. Each
the substrate-binding site,
hairpin tip consists of a conserved Ser-Asn-Thr (SNT) motif, and
the two SNT motifs form part of the substrate-binding site, making
direct contact with carboxylate groups of the substrate. Whereas
these two SNT signature motifs are responsible for recognizing
carboxylate, additional residues in neighboring loops have been
proposed to distinguish between different kinds of substrates4.
Furthermore, VcINDY’s structure with sodium in the absence of a
substrate (the Ci-Na+ state), determined in 100 mM Na+, is very
similar to that of the Na+- and substrate-bound state Ci-Na+-S19.
While the Na+- and substrate-binding sites in VcINDY have
been well-characterized1,4,23, the coupling mechanism between
the electrochemical gradient and substrate transport24 is less well
understood. There is strong evidence that charge compensation
by sodium ions is essential in lowering the energy barrier for
transporting the di- and trivalent anionic substrates across the
membrane19. However, such charge compensation alone does not
necessarily result in substrate binding as Li+ is able to bind to
VcINDY similarly to Na+, but results in a lower affinity substrate
binding site and considerably reduced transport rates2,23. More
importantly, charge neutralization cannot explain the sequential
binding observed for VcINDY. As is the case for other DASS
proteins25–28, all available experimental evidence from both
whole cells and reconstituted systems supports the notion that in
VcINDY sodium ions and substrate bind in a sequential manner,
with Na+s binding first, followed by dicarboxylate2,3,23,29. As a
secondary-active transporter can transport substrate in either
direction, it follows that the release of the substrate and Na+s is
also ordered, with the substrates being released first.
Structures of VcINDY in the Na+- and substrate-bound state
Ci-Na+-S, in which the Na+ sites share residues with the sub-
strate site in their center, allowed us to propose that substrate
binding in VcINDY follows a cooperative binding mechanism via
conformational selection1,30. In this mechanism, the binding
of sodium ions helps to induce a proper binding site for the
substrate (Supplementary Fig. 1a, b). Conversely, in the absence
of bound sodium ions the substrate-binding site will change
significantly, such that the substrate cannot bind. Not only can
such a mechanism be part of Na+—substrate coupling, it may
also explain the sequential binding observed for VcINDY.
This conformational selection mechanism of substrate binding
enables us to make two explicit, experimentally testable predic-
tions. First, the affinity of the transporter to a substrate must
be much higher in the presence of Na+ than in its absence.
Second, substantial structural changes will occur at the Na+ sites
in the absence of sodium, affecting substrate binding.
In this work, we aim to test these two predictions using a
combination of structure determination by single-particle cryo-EM,
substrate-binding affinity measurements by intrinsic tryptophan
fluorescence quenching, and position accessibility quantification
via a newly-developed site-directed cysteine alkylation assay29. In
particular, we characterize VcINDY in sodium-saturating and
sodium-free conditions, including structures in Ci-Na+ and Ci-apo
states. These experimental results allow us to directly test the
conformational selection binding model of VcINDY.
Results
Succinate binding depends on the presence of Na+. To test the
first of
the predictions generated from our conformational
selection hypothesis, we measured VcINDY’s binding affinity for
the model substrate, succinate, in both the presence and absence
of Na+ (Supplementary Fig. 2). We reasoned that VcINDY’s
tryptophans, particularly Trp148 located at
the tip of HPin
of the Na1 site, may change its position or environment upon
Na+-/substrate-binding. Thus, we used intrinsic tryptophan
fluorescence quenching, a technique that has been successfully
applied to measure substrate binding for various membrane
transporters20,31–36. In the presence of 100 mM Na+, detergent-
purified VcINDY was found to bind succinate with an apparent
Kd of 92.2 ± 47.4 μM (Fig. 1a, Supplementary Fig. 2b). For
comparison, the human NaCT in the same protein family binds
its substrate citrate at an apparent Kd of 148 ± 28 μM20.
2
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ARTICLE
Fig. 1 Cryo-EM structure of VcINDY in the Ci-Na+ state determined in 300 mM Na+. a Measurements of succinate binding to detergent-purified VcINDY
in the presence of 100 mM NaCl, using intrinsic tryptophan fluorescence quenching (N = 4). Data are presented as mean values ± SEM. The apparent Kd
was determined to be 92.2 ± 47.4 mM. When NaCl was replaced with Choline chloride, no binding of succinate to VcINDY could be measured (N = 4).
b Cryo-EM map of VcINDY determined in the presence of 300 mM NaCl. The map is colored by local resolution (Å) and contoured at 5.1 σ. The overall
map resolution is 2.83 Å. c Structure of VcINDY in the Ci-Na+ state. The structure is colored by the B-factor. d Na1 site structure and Coulomb map.
e Na2 site structure and Coulomb map. f Overlay of VcINDY structures around the substrate and sodium binding sites in the Ci-Na+ state (green) and Ci-
Na+-S state (PDB ID: 5UL7, blue). There is very little structural change observed between the two states.
To measure the binding affinity of succinate to VcINDY with
empty Na+ binding sites, we searched for a cation to replace Na+ in
the purification buffer. This ion should not occupy the Na1 or
Na2 sites while still allowing the transporter protein to remain
stable in the solution. K+ is unable to power substrate transport in
VcINDY, but was found to be unsuitable as the protein precipitated
when purified in the presence of 100 mM KCl. We next tested the
organic cation choline (C5H14NO+, Ch+ in abbreviation). We
reasoned that Ch+ would be more stabilizing than K+ based on its
position in the Hofmeister series37, and that its size would preclude
it from occupying Na+ binding sites38. Indeed, VcINDY purified in
100 mM NaCl remained soluble at 0.5–1.0 mg/mL after diluting the
sample 11,000-fold in 100 mM ChCl. VcINDY was therefore
purified in the presence of 100 mM Ch+ as the only monovalent
cation. The protein eluted as a sharp, symmetrical peak on a size-
exclusion chromatography column (Supplementary Fig. 2a), con-
firming its stability and structural homogeneity.
intrinsic tryptophan fluorescence quenching with
VcINDY purified and assayed in the presence of 100 mM Ch+
revealed no succinate binding (Fig. 1a, Supplementary Fig. 2c).
Thus, the binding measurements in the presence and absence of
Na+ are consistent with a conformational selection model where
bound sodium ions are necessary to VcINDY forming a proper
binding site for succinate. Encouraged by these findings and our
ability to produce stable, structurally homogeneous and Na+-free
VcINDY, we next sought to uncover the structural basis of this
Na+—substrate
transporter’s
structures using cryo-EM in different states.
coupling by determining the
Notably,
Structure of VcINDY in 300 mM Na+. Generally speaking, the
transport mechanism of a secondary-active transporter is rever-
sible, in which the direction of substrate translocation depends on
the direction and magnitude of the driving force (Supplementary
Fig. 1a, b). Consequently, substrate binding is structurally
equivalent to substrate release. Therefore, to provide structural
insights into VcINDY’s binding process, we aimed to characterize
the substrate release process in the inward-facing (Ci) con-
formations by capturing the structures of VcINDY in the fol-
lowing states: its Na+-and substrate-bound state (Ci-Na+-S), its
Na+-bound state (Ci-Na+) and its Na+- and substrate-free state
(Ci-apo).
The Ci-Na+-S structure of VcINDY has previously been solved
using X-ray crystallography1,4. Additionally, we had characterized
the Ci-Na+ state using a cryo-EM structure of VcINDY purified
in 100 mM Na+ without substrate19. However, as the apparent
K0.5 for Na+ for VcINDY was measured to be 41.7 mM2, our
earlier VcINDY sample in 100 mM Na+ likely represents a
mixture of the Ci-Na+ and Ci-apo states. It is unclear whether the
subsequent cryo-EM image processing of the particles was able to
exclude all particles of the Na+-free Ci-apo state. To more clearly
and definitively resolve the Ci-Na+ state structure, in the current
work we purified and determined a structure of VcINDY in
300 mM Na+. This ion concentration was optimized to increase
the Na+ occupancy, while, at the same time, ensuring a low
enough noise level in the cryo-EM images to determine a Ci-Na+
state structure of this small membrane protein (total dimer mass:
126 kDa) at 2.83 Å resolution (Fig. 1b, c, Supplementary Figs. 3
and 4a–c, Table 1).
Compared with the two previously determined cryo-EM
structures of VcINDY in the presence of 100 mM NaCl19, the
herein reported structure in 300 mM Na+ (Fig. 1c, Supplementary
Fig. 4b) is identical to the one bound to a Fab and embedded in
lipid nanodisc (PDB ID: 6WW5)19 (r.m.s.d. of 0.460 Å for all the
non-hydrogen atoms), except for the position of the last three
residues at the C-terminus, which interact with the Fab molecule
used for structure determination (Supplementary Fig. 4d). Further-
though the map obtained in 300 mM Na+ conditions
more,
clarified the loop connecting HPoutb and TM10b, the model in
300 mM NaCl is effectively identical to the other previous Ci-Na+
structure in 100 mM NaCl, determined in amphipol and without
Fab (PDB ID: 6WU3)19, with an r.m.s.d of 0.358 Å after excluding
Val392 – Pro400 (Supplementary Fig. 4d).
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As expected from the higher Na+ occupancy in the 300 mM
sample, better-defined densities appeared within both the Na1
and Na2 clamshells (Fig. 1d, e), which were absent in the previous
100 mM Na+ maps19. In addition to coordination by side chains
and backbone carbonyl oxygens, the sodium ion at the Na1 site is
stabilized by the helix dipole moments from HPinb and TM5b
(Fig. 1f; Supplementary Fig. 1e, f), as previously observed in other
membrane proteins39,40. Similarly, the Na+ ion in the Na2 site is
stabilized by HPoutb and TM10b.
Finally, this higher resolution map confirmed our earlier
observations that succinate release caused only limited changes
at the substrate-binding site without relaxing the two Na+
clamshells19. Both the overall structure and the sodium- and
substrate-binding sites in the Ci-Na+ state are similar to those in
the sodium- and substrate-bound Ci-Na+-S state (Fig. 1e, f,
Supplementary Fig. 4e). The similarity of these structures agrees
with our conformational selection model of Na+ – substrate
coupling, which requires sodium-binding induce a Ci-Na+ state
structure that can bind substrate directly as in the Ci-Na+-S
state (Supplementary Fig. 1a, b).
Apo structure of VcINDY in Choline+. With the structures of
sodium- and succinate-bound1,4 and Na+-only bound (Fig. 1) states
in hand, the missing piece of the puzzle to validate the Na+ con-
formational selection mechanism was the Ci-apo state structure of
the transporter protein. As a Ch+ ion is too large to fit into a Na+
binding site36,38, and VcINDY was stable and monodisperse in the
presence of 100 mM ChCl (Supplementary Fig. 2a), such a pre-
paration allowed us to obtain cryo-EM maps of the Ci-apo state
(Fig. 2, Supplementary Figs. 5 and 6, Table 1). Unlike the VcINDY
map in 300 mM Na+ for which 3D classification converged to a
single map (Supplementary Fig. 3), the VcINDY-choline dataset
yielded four distinct classes at a resolution range of 3.6—4.4 Å
resolution (Supplementary Figs. 5 and 7). The 3D class with the
highest resolution was further refined to 3.23 Å resolution (Fig. 2a, b,
Supplementary Fig. 6c). The least well-resolved regions of the map,
and highest B-factors of the model, are found in L4-HPin and L9-
HPout, two previously-identified hinge regions that facilitate move-
ment of the transport domain19. Whereas the overall fold of the
protein in Ch+ remains the same (Supplementary Fig. 6d, f), Na+
densities within the Na1 and Na2 clamshells are totally absent.
Additional local changes are observed for the protein parts near the
Na1 and Na2 sites (Fig. 2c), with a loss of density in each Ci-apo
map at the HPinb and TM10b helices (Fig. 3b), indicating increased
local structural flexibility.
Flexibility of Apo VcINDY near the Na1 and Na2 sites. While
the VcINDY Ci-apo state overall structure is similar to those in
the 300 mM Na+ (r.m.s.d of 0.672 Å) (Supplementary Fig. 6f), the
model exhibited significant changes near the Na1 and N2 sites
(Figs. 2c and 3a, b). The tip of HPin and the L10a-b loop have
moved away from the Na1 and Na2 sites, respectively, with the
carbonyls of Ala376 and Ala420, and the side chain of Asn378
also rotated away from the Na2 site. Notably, HPinb near the
Na1 site and TM10b near the Na2 site and their connecting loops
showed marked decreased density in the cryo-EM map, corre-
sponding to the increased flexibility of these regions (Fig. 3a, b).
Correspondingly, the model exhibited significantly higher relative
B-factors in the same regions compared to the rest of the model
(Fig. 3c, d). However, we recognized that such a single, averaged
model might not fully describe the true structural ensemble, and
sought a method to describe the Ci-apo state’s mobility.
To further analyze such local flexibility, we used simulated
annealing41,42 in a model refinement protocol analogous to protein
structure determination by NMR spectroscopy43. We reasoned that
in multiple, separate refinements with simulated annealing the rigid
parts of the VcINDY would converge to the same coordinates, while
mobile portions of the protein would arrive at distinct atomic
positions in each run. We term this as NMR-style analysis in
recognition of NMR’s power to characterize protein dynamics,
though in cryo-EM the constraints are Coulomb potential maps
rather than distances.
Most parts of the VcINDY structure exhibit no variation in the
Ci-Na+ state, including HPinb and TM10b in the 300 mM Na+
condition (Fig. 3e, Supplementary Fig. 8a). In contrast, in the Ci-
apo state the NMR-style analysis clearly illustrated the structural
heterogeneity near the Na1 and Na2 sites (Fig. 3f, Supplementary
Fig. 8b). Instead of converging to one structure, the simulated
annealing resulted in an ensemble of structures, with the greatest
variations occurring in the HPinb and TM10b regions. The mean
r.m.s.d. of the transport domain’s backbone atoms for the Ci-apo
protomers is 0.589 Å, as opposed to 0.099 Å among Ci-Na+
protomers refined using the same protocol to the same resolution.
As the 3.23 Å apo map imposes C2 symmetry on one of four
classes of particles in ChCl (Supplementary Fig. 5), and all four
classes are different
the degree of
flexibility of these helices in the Ci-apo state is likely to be even
greater. Such helix flexibility results from the absence of Na+
interactions with residues in the clamshells and with the dipoles
of HPinb and TM10b44,45.
(Supplementary Fig. 7),
Site-directed alkylation supports structural changes to Na1 and
Na2 sites. To confirm the local conformational changes and helix
flexibility observed in our VcINDY structures, we implemented a
site-directed cysteine alkylation strategy that can directly assess
the solvent accessibility of specific positions in a protein. In this
a
L4-HPout
b
c
4.0
3.5
3.0
2.5
L9-HPin
N378
A376
Na1
I149
N151
Na2
A420
P422
HPinb
TM10b
Fig. 2 Cryo-EM structure of VcINDY in the Ci-apo state determined in Choline+. a Cryo-EM map of VcINDY preserved in amphipol determined in the
presence of 100 mM Choline Chloride. The map is colored by local resolution (Å) on the same scale as Fig. 1b and contoured at 4.8 σ. The overall map
resolution is 3.23 Å. The two previously-identified hinge regions which facilitate movement of the transport domain19, L4-HPin and L9-HPout, are found to
be most flexible. b Structure of VcINDY in the Ci-apo state. The structure is colored by the B-factor on the same scale as Fig. 1b. c Overlay of VcINDY
structures around substrate and sodium binding sites in the sodium-bound Ci-Na+ state (green) and the Ci-apo state (pink). The structures of the two Na1
and Na2 clamshells have changed in the absence of sodium ions, particularly around residues Ile149, Asn151, Ala376, Asn378, Ala420 and Pro422.
4
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a
c
e
Na1
Na2
TM10b
HPinb
b
Na1
Na2
TM10b
HPinb
d
Na1
Na2
Na1
Na2
TM10b
HPinb
TM10b
HPinb
f
Na1
Na2
Na1
Na2
TM10b
HPinb
TM10b
HPinb
Fig. 3 VcINDY flexibility changes near the Na1 and Na2 sites between the
Ci-Na+ state and Ci-apo states. a Cryo-EM density map in 300 mM NaCl.
b. Cryo-EM density map in 100 mM Choline Chloride. In a and b, the
respective protein models’ backbones are fitted into the densities. Maps are
contoured such that the scaffold domains have equal volume. c. Structure
of VcINDY in its Ci-Na+ state. d. Structure of VcINDY in its Ci-apo state. In
c and d, the structures are colored by normalized B-factors. e NMR-style
analysis of the VcINDY structure in Na+. f NMR-style analysis of the
VcINDY structure in Choline+. The resolution for refinement of both
structures in e and f was truncated to 3.23 Å. In the absence of sodium, the
helices on the cytosolic side of Na1 and Na2, particularly HPinb and TM10b
and their connecting loops, show markedly increase flexibility. Instead of a
single structure, the Ci-apo model consists of an ensemble of structures.
approach, single cysteines are introduced into a Cys-less version
of VcINDY, which is capable of robust Na+-driven transport2,3.
Following purification, the cysteine mutants of VcINDY are
incubated with the thiol-reactive methoxypolyethylene glycol
maleimide 5 K (mPEG5K). This tag reacts with solvent-accessible
cysteines and increases the protein mass by ~5 kDa, which is
separable from unmodified protein on an SDS-PAGE gel. As
mPEG5K will react faster with cysteines that are more accessible,
monitoring PEGylation over time provides us with the ability to
follow changes in the accessibility of particular parts of the pro-
tein under different conditions29.
To test our conformational selection model using biochemical
approaches, we designed a panel of single-cysteine mutants of
VcINDY that would report on the Na+-dependent accessibility
changes at the Na1 and Na2 sites predicted from structures
(Fig. 4a, Supplementary Fig. 8d). We selected residues that, if our
cooperative binding model is accurate, will exhibit a higher rate of
PEGylation in the absence of Na+ compared to its presence due
to the increased mobility of HPin and TM10b. To create our panel
proximal to the Na1 site, we purified four cysteine mutants whose
reactive thiol groups are buried in the Ci-Na+ state behind HPin
(L138C on HPina, A155C and V162C on HPinb and A189C on
TM5a). However, similar cysteine substitutions near Na2 (Val427,
Ile433, Gly442 and Met438) resulted in diminished expression
levels, likely indicating the importance of these residues to the
stability of the protein. Fortunately, cysteine mutation of Val441 to
cysteine, a residue located on TM11 and behind TM10b (Fig. 4a,
Supplementary Fig. 8d), expressed well and allowed for purifica-
tion. Typically, well-expressing single cysteine VcINDY mutants
that can be purified are capable of Na+-driven succinate
transport29.
We monitored the PEGylation of each mutant in the presence
and absence of Na+. Under these reaction conditions there is no
PEGylation of the Cys-less variant, demonstrating no background
labelling that could hinder analysis (Fig. 4b, top row). In the
presence of 300 mM Na+ we observed complete inhibition of
PEGylation at every position (Leu138, Ala155, Val162, Ala189
and Val411) over the time course of 60 min (Fig. 4b, left panels),
in agreement with our model that these residues are buried in the
Na+-bound state. However, in the absence of Na+ (but with
300 mM Ch+), every mutant showed escalated levels of PEGyla-
tion over time (Fig. 4b, right panels), indicating the increased
flexibility of HPinb and TM10b.
To ensure that the change in PEGylation rate that we observed
was due to changes in residue accessibility and not caused by an
unforeseen effect
the cations may have on the PEGylation
reaction, we monitored the reaction rate of a position for which
we observed no accessibility change in the structural analysis. A
cysteine mutant at Ser436, positioned at the periphery of the
transporter protein (Fig. 4a), exhibited minimal Na+-dependent
accessibility changes (Fig. 4b, bottom row).
These accessibility measurements, along with our previous
PEGylation results on three other VcINDY residues near the
Na1 site (T154C, M157C and T177C, Supplementary Fig. 8e)29,
fully support the changes in protein dynamics predicted upon
occupation of the Na1 and Na2 sites, and are consistent with a
conformational selection coupling model.
Structural comparison of Ci-Na+-S, Ci-Na+ and Ci-apo states.
The VcINDY structures determined in 300 mM Na+ and apo as
reported here, together with previously-determined X-ray struc-
ture of the protein with both sodium and substrate bound1,4,
allowed us to examine the structural changes of the transporter
between the Ci-Na+-S, Ci-Na+ and Ci-apo states. In addition to
the flexibility observed in HPinb and TM10b, we observed amino
acid sidechain movements both at the interface between the
scaffold domain and the transport domain, as well as on the
periplasmic surface of the protein.
At the scaffold–transport domain interface, side chains of
several bulky amino acids rotated or shifted between the three
states, including Phe100, His111 and Phe326 (Fig. 5a). On the
periplasmic surface, Trp461 at the C-terminus is buried in the apo
and Na+-bound structures (Fig. 5b). However, in the Ci-Na+-S
structure, the ring of the nearby Phe220 was rotated by ~90°,
pushing out the side chain of Trp461, leaving the C-terminus
pointing to the periplasmic space. Accordingly, the loop between
HPoutb and TM10a moved into the periplasmic space of the apo
VcINDY structure, displacing Glu394 and breaking its salt bridge
with Lys337. Whereas no single switch was identified that can
trigger conformational exchanges between the inward- and
outward-facing states,
local structural changes observed here
suggest that small changes at multiple locations are required for
inter-conformation transitions in VcINDY.
In comparing maps of the three states, we noted the VcINDY
Ci-Na+ map reported herein was sufficiently detailed to identify
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a
Na1
HPina
138
HPinb
Na2
441
TM10b
TM5a
189
155
162
90
HPina
138
162
Na1
HPinb
441
TM5a
189
155
TM10b
436
Na2
b
kDa
55
+ Na+
Na+
Cys-less
L138C
436
A155C
35
25
55
35
25
55
35
25
55
35
25
55
35
25
55
35
25
55
35
25
P
U
P
U
P
U
P
U
P
U
P
U
P
U
0 5 10 30 60
0 5 10 30 60 min
V162C
A189C
V441C
S436C
Fig. 4 Cysteine alkylation with mPEG5K of VcINDY near the Na1 and Na2 sites in the presence and absence of Na+. a Location of cysteine mutations.
Our structures suggested that HPinb and TM10b become flexible in the absence of sodium, increasing the solvent accessibility of Leu138, Ala155, Val162
and Ala189 near the Na1 site, and Val441 near the Na2 site. Position Ser436, for which no accessibility change was observed between our structures, is
used as a control. On a Cys-less background, residues at these positions were individually mutated to a cysteine for mPEG5K labeling. For clarity, only
amino acid numbers are labeled and the types are omitted. b Coomassie Brilliant Blue-stained non-reducing polyacrylamide gels showing the site-directed
PEGylation of each cysteine mutant over time in the presence and absence of Na+. P: PEGylated protein; U: Un-PEGylated protein. Each reaction was
performed on two separate occasions with the same result. Source data is provided as Source Data file.
a
b
F326
F100
H111
five ordered water molecules buried at
the dimer interface
(Supplementary Fig. 8c). The water molecules are not visible in
previous maps, or the VcINDY-apo map, indicating the high-
the VcINDY Ci-Na+ map reported here was
resolution of
necessary for their identification. These waters are arranged in a
square pyramidal configuration in the largely hydrophobic
pocket, coordinated by only the symmetry-related carbonyls of
Phe92 and inter-water hydrogen bonds. The role of these waters
in VcINDY folding or transport are unclear, though protein
folding defects underlie several pathogenic mutations on the
equivalent dimerization interface of NaCT5.
F220
W461
TM10a
HPoutb
E394
K337
Fig. 5 Movement of VcINDY’s amino acid side chains between its
Ci-Na+-S, Ci-Na+ and Ci-apo states. VcINDY structures in three states are
overlaid: Ci-Na+-S (blue), Ci-Na+ (green) and Ci-apo (pink) states. a At the
scaffold-transport domain interface, the side chains of Phe100, His111 and
Phe326 rotate between states. b On the periplasmic surface, some loops
and side chains move between the states, including Phe220, Lys337,
Glu394 and Trp462.
Discussion
Despite great advances in structural and mechanistic studies on
the
membrane transporters over the past
ion–substrate coupling mechanism is well characterized for only
very few co-transporters,
this
fundamental aspect of the secondary-active transport mechanism.
Here, we have described the structural basis of ion–substrate
coupling for VcINDY, which reveals a distinct conformational
selection mechanism that ensures obligatory coupling.
limiting our understanding of
twenty years46–50,
While Na+ sites in some other Na+-dependent transporters are
buried in the middle of the protein38,48,49,51, the sodium sites in
VcINDY are directly accessible from the extramembrane space.
Previous experimental data support that Na+-driven DASS co-
transporters operate via an ordered binding and release2,25–29.
Specifically, Na+ binding occurs before substrate binding, while
substrate release precedes Na+ release. For VcINDY, we have
now observed that sodium release from the Na1 and Na2 sites in
the cytoplasm allows increased conformational diversity going
from the Ci-Na+ to the Ci-apo states, whereas the Ci-Na+ and Ci-
6
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Co
Co-Na+
Co-Na+-S
TM10b
HPin
Ci
TM10b
HPin
TM10b
HPin
Ci-Na+
Ci-Na+-S
Fig. 6 Schematic model of conformational selection mechanism for
sodium—substrate coupling in VcINDY. In the absence of sodium ions,
HPinb and TM10b, along with their connecting loops responsible for sodium
and substrate binding, are flexible. From the ensemble of flexible structures,
the binding of sodium ions (blue circles) selects a conformation with a
proper binding site for the substrate, allowing its binding (red oval). The
scaffold and transport domains in each protomer are colored as green and
pink, respectively. Only the Na1 and Na2 sites are illustrated. Transport
domain movements in the two protomers are shown as symmetric for
simplicity but are functionally independent.
Na+-S states are structurally similar (Fig. 6). Specifically, the
movement of helices HPinb and TM10b is tightly coupled to Na+
binding. At the Na1 and Na2 sites, the sodium ions are stabilized
via direct and ion—dipole interaction with the two helices.
Therefore, upon Na+-release, the elimination of these interac-
tions caused the relaxation of the HPinb and TM10b helices44,45,
leading to increased mobility in the connected loops responsible
for substrate binding. In the reverse reaction, ions binding at the
Na1 and Na2 sites, concurrent with helix re-ordering, select from
the ensemble a structure with the proper binding site for the
substrate. While the effects of VcINDY’s cryptic third Na+ are
still to be determined, we now have established a structural
understanding of the Na+—substrate coupling mechanism for
this co-transporter. By extension, other DASS transporters may
utilise a similar structural mechanism for Na+—substrate cou-
pling (Fig. 6).
The structural basis of Na+-substrate coupling for VcINDY
is distinct
from that of GltPh/GltTk from the dicarboxylate/
amino acid:cation symporter family which otherwise share several
commonalities with VcINDY including the presence of re-entrant
hairpin
elevator-like
mechanism1,3,4,48,52–56. In addition, as we have shown here for
VcINDY, a cooperative binding mechanism has been suggested for
both GltPh and GltTk, which requires the initial binding of Na+ in
order to prime the binding site for the substrate, aspartate38,57.
However, the structural basis of Na+-substrate coupling in GltPh/
GltTk differs substantially from the coupling mechanism we observe
for VcINDY. Rather than the general relaxation of a helix governing
substrate-binding site formation, the binding of Na+ to GltPh/GltTk
induces discrete conformational changes of a small number of
amino acid residues centered on the highly conserved NMDGT
motif53,57,58. As is the case here for VcINDY (Fig. 6), the fully loaded
and Na+-only bound structures of GltPh/GltTk are
largely
identical52,53,57,58, demonstrating that Na+ binding drives the for-
mation of the substrate-binding site, and not the substrate itself.
utilization
loops
and
the
an
of
In addition to conformational selection, another mechanism for
ion–substrate coupling of co-transporters has been proposed to be
charge compensation5,19. Such a mechanism can greatly minimize
the energy penalty for translocating charged substrates across the
hydrophobic lipid bilayer59,60. Unlike for DASS exchangers19,
where charge compensation is the major force for overcoming the
←→ Ci transition, both local structural
energy barrier in the Co
ordering and charge balance are needed for Na+-coupled co-
transporters within the DASS family.
Comparison of the VcINDY structures reported here with
those determined earlier1,4,19, of three states in total, also sheds
new light on the mechanism of the transporter’s conformational
switching between the two sides of the membrane. As the Ci-apo
structure is significantly different from that of the Ci-Na+-S state,
their corresponding transitions to the outward-facing state:
Ci-apo to Co-apo and Ci-Na+-S to Co-Na+-S, are different at the
transport-scaffold domain interface (Fig. 6). Whereas the transi-
tion between Ci-Na+-S and Co-Na+-S state can be described as
rigid-body movement, as was seen in the DASS exchangers5,
the co-transporters’ Co-apo ←→ Ci-apo state transition likely
involves large structural rearrangements of the transport domain.
Considering the pseudo-symmetry of the DASS fold, the Ci-apo →
Co-apo movement would require refolding of TM10b to pack
against
the scaffold domain, and possibly the concurrent
unfolding of TM5b. This potential asymmetry between the apo-
state transition (Co-apo ←→ Ci-apo) and transition of the fully-
loaded transporter (Ci-Na+-S ←→ Co-Na+-S) needs further
investigation. Finally, the pseudo-symmetry within the DASS fold
and sequence1,3,19 and Na+ dependent solvent accessibility of the
S381C mutant on HPoutb of VcINDY, which we investigated
previously29, seem to indicate the Co state also undergoes Na+
dependent conformational selection to enable substrate binding.
However, verifying this hypothesis will require structural char-
acterization of a DASS symporter’s outward-facing state.
Methods
VcINDY expression and purification. Expression and purification of VcINDY
were carried out according to our previous protocol1. Briefly, E. coli BL21-AI cells
(Invitrogen) were transformed with a modified pET vector61 encoding N-terminal
10x His tagged VcINDY. Cells were grown at 32 °C until OD595 reached 0.8,
protein expression occurred at 19 °C following IPTG induction, and cells were
harvested 16 h post-induction. Cell membranes were solubilized in 1.2 % DDM and
the protein was purified on a Ni2+-NTA column. For cryo-EM and substrate
binding experiments, the protein was purified using size-exclusion chromatography
(SEC) in different buffers. The protein used for the cysteine alkylation assays was
produced as described previously29.
Tryptophan fluorescence quenching assay. Tryptophan fluorescence quenching
was used to measure affinity of succinate to purified VcINDY in detergent, using a
protocol adapted from earlier work on other membrane transporters20,31–34.
VcINDY purified by SEC in a buffer of 25 mM Tris pH 7.5, 100 mM NaCl and
0.05% DDM was used to measure succinate affinity, while the 100 mM NaCl was
replaced by 100 mM ChCl for affinity measurements in the absence of sodium.
Protein was diluted to a final concentration of 4 μM in SEC buffer. Using a Horiba
FluoroMax-4 fluorometer (Kyoto, Japan) at 22 °C and a 280 nm excitation wave-
length, the emission spectrum was recorded between 290 and 400 nm. The emis-
sion maximum was determined to be 335 nm. Subsequently, the change in
fluorescent emission at 335 nm was monitored with increasing concentrations of
succinic acid (pH 7.5), from 0.1 μM to 1 mM. Each experimental condition was
repeated 4 times. The binding curve was fit in Prism using a quadratic binding
equation to account for bound substrate62.
Amphipol exchange and cryo-EM sample preparation. From Ni2+-NTA pur-
ified VcINDY, DDM detergent was exchanged to PMAL-C8 (Anatrace, Maumee,
OH) as previously described19,63. Following further purification by SEC in buffer
containing 25 mM Tris pH 7.5, 100 mM NaCl and 0.2 mM TCEP, the NaCl con-
centration was increased to 300 mM and the protein sample was concentrated to
1.3 mg/mL. For the apo protein preparation, NaCl in the abovementioned SEC
buffer was replaced with 100 mM ChCl, and the protein sample was concentrated
to 1.3 mg/mL.
Cryo-EM grids were prepared by applying 3 μL of protein to a glow-discharged
QuantiAuFoil R1.2/1.3 300-mesh grid (Quantifoil, Germany) and blotted for 2.5 to
4 s under 100% humidity at 4 °C before plunging into liquid ethane using a Mark
IV Vitrobot (FEI).
Cryo-EM data collection. Cryo-EM data were acquired on a Titan Krios micro-
scope with a K3 direct electron detector, using a GIF-Quantum energy filter with a
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20-eV slit width. SerialEM was used for automated data collection64. Each micro-
graph was dose-fractioned over 60 frames, with an accumulated dose of 65 e-/Å2.
Cryo-EM image processing and model building. Motion correction, CTF esti-
mation, particle picking, 2D classification, ab initio model generation, hetero-
genous and non-uniform refinement, and per-particle CTF refinement were all
performed with cryoSPARC65. Each dataset was processed using the same protocol,
except as noted.
Micrographs underwent patch motion correction and patch CTF estimation,
and those with an overall resolution worse than 8 Å were excluded from
subsequent steps. An ellipse-based particle picker identified particles used to
generate initial 2D classes. These classes were used for template-based particle
picking. Template identified particles were extracted and subjected to 2D
classification. A subset of well-resolved 2D classes were used for the initial ab initio
model building, while all picked particles were subsequently used for heterogeneous
3D refinement. After multiple rounds of 3D classification (ab initio model
generation and heterogeneous 3D refinement with two or more classes), a single
class was selected for nonuniform 3D refinement with C2 symmetry imposed,
resulting in the final map.
All Cryo-EM maps were sharpened using Auto-sharpen Map in Phenix66,
models were built in Coot67, and refined in Phenix real space refine68. The model
for VcINDY in NaCl was built using the structure of VcINDY embedded in a lipid
nanodisc (PDB: 6WW5) as an initial model, with lipid and antibody fragments
removed. The VcINDY model in choline used the structure of VcINDY in 300 mM
NaCl, with ions and waters removed, as the starting model.
The NMR-style analysis used 5 independent runs of phenix.real_space_refine66 to
refine the models of VcINDY in apo and in 300 mM NaCl, with ions and waters
removed, using unique computational seeds for each run. Each refinement was
performed with simulated annealing, without NCS constraints or secondary structure
restraints, and a refinement resolution limit of 3.23 Å for both maps. Analysis with or
without map sharpening, or randomizing initial atomic positions using
phenix.pdbtools, gave similar results. Transport domain maps were scaled to equivalent
contours using the scaffold domain’s volume as an internal standard after extracting
with phenix.map_box. Figures were made using UCSF Chimera69 and PyMOL70.
Cysteine alkylation assay. For the cysteine alkylation experiments, each purified
cysteine mutant was exchanged into reaction buffer containing 50 mM Tris, pH 7,
5% glycerol, 0.1% DDM and either 300 mM NaCl or 300 mM ChCl (Na+-free
conditions). Protein samples were incubated with 6 mM mPEG5K and samples
were taken at the indicated timepoints and immediately quenched by addition of
SDS-PAGE samples buffer containing 100 mM methyl methanesulfonate (MMTS).
Samples were analyzed with Coomassie Brilliant Blue-stained non-reducing
polyacrylamide gels.
Reporting summary. Further information on research design is available in the Nature
Research Reporting Summary linked to this article.
Data availability
The cryo-EM particle stacks, maps and models generated in this study have been
deposited in EMPIAR image archive, EMDB database and the Protein Data Bank,
respectively, under accession codes EMPIAR-10969, EMD-25757 and PDB-7T9G) for
VcINDY-Na+ (300 mM) structure and under accession codes EMPIAR-10970, EMD-
25756 and PDB-7T9F) for VcINDY-Ch+ structure. Source Data for Fig. 4 are available
with the paper.
Received: 11 January 2022; Accepted: 28 April 2022;
References
1. Mancusso, R., Gregorio, G. G., Liu, Q. & Wang, D. N. Structure and
mechanism of a bacterial sodium-dependent dicarboxylate transporter. Nature
491, 622–626 (2012).
2. Mulligan, C., Fitzgerald, G. A., Wang, D. N. & Mindell, J. A. Functional
characterization of a Na+-dependent dicarboxylate transporter from Vibrio
cholerae. J. Gen. Physiol. 143, 745–759 (2014).
3. Mulligan, C. et al. The bacterial dicarboxylate transporter VcINDY uses a two-
domain elevator-type mechanism. Nat. Struct. Mol. Biol. 23, 256–263 (2016).
4. Nie, R., Stark, S., Symersky, J., Kaplan, R. S. & Lu, M. Structure and function of
the divalent anion/Na+ symporter from Vibrio cholerae and a humanized
variant. Nat. Commun. 8, 15009 (2017).
Sauer, D. B. et al. The ups and downs of elevator-type di-/tricarboxylate
membrane transporters. FEBS J 289, 1515–1523 (2021).
5.
6.
Pajor, A. M. Sodium-coupled dicarboxylate and citrate transporters from the
SLC13 family. Pflug. Arch. 466, 119–130 (2014).
7. Youn, J. W., Jolkver, E., Kramer, R., Marin, K. & Wendisch, V. F.
Identification and characterization of the dicarboxylate uptake system DccT in
Corynebacterium glutamicum. J. Bacteriol. 190, 6458–6466 (2008).
8. Kim, O. B. & Unden, G. The L-tartrate/succinate antiporter TtdT (YgjE) of
L-tartrate fermentation in Escherichia coli. J. Bacteriol. 189, 1597–1603 (2007).
9. Wellen, K. E. et al. ATP-citrate lyase links cellular metabolism to histone
acetylation. Science 324, 1076–1080 (2009).
10. Ryan, D. G., Frezza, C. & O’Neill, L. A. TCA cycle signalling and the evolution
of eukaryotes. Curr. Opin. Biotechnol. 68, 72–88 (2021).
11. Carey, B. W., Finley, L. W., Cross, J. R., Allis, C. D. & Thompson, C. B.
Intracellular alpha-ketoglutarate maintains the pluripotency of embryonic
stem cells. Nature 518, 413–416 (2015).
12. Morris, J. P. T. et al. alpha-Ketoglutarate links p53 to cell fate during tumour
suppression. Nature 573, 595–599 (2019).
13. Klotz, J., Porter, B. E., Colas, C., Schlessinger, A. & Pajor, A. M. Mutations in
the Na+/citrate cotransporter NaCT (SLC13A5) in pediatric patients with
epilepsy and developmental delay. Mol. Med 22, 310–321 (2016).
14. Dewulf, J. P. et al. SLC13A3 variants cause acute reversible
leukoencephalopathy and alpha-ketoglutarate accumulation. Ann. Neurol. 85,
385–395 (2019).
15. Birkenfeld, A. L. et al. Deletion of the mammalian INDY homolog mimics
aspects of dietary restriction and protects against adiposity and insulin
resistance in mice. Cell Metab. 14, 184–195 (2011).
16. Huard, K. et al. Discovery and characterization of novel inhibitors of the
sodium-coupled citrate transporter (NaCT or SLC13A5). Sci. Rep. 5, 17391
(2015).
17. Pajor, A. M. et al. Molecular basis for inhibition of the Na+/citrate transporter
NaCT (SLC13A5) by dicarboxylate Inhibitors. Mol. Pharmacol. 90, 755–765
(2016).
18. Willmes, D. M. et al. The longevity gene INDY (I’m Not Dead Yet) in metabolic
control: Potential as pharmacological target. Pharm. Ther. 185, 1–11 (2018).
19. Sauer, D. B. et al. Structural basis for the reaction cycle of DASS dicarboxylate
transporters. Elife 9, e61350 (2020).
20. Sauer, D. B. et al. Structure and inhibition mechanism of the human citrate
transporter NaCT. Nature 591, 157–161 (2021).
21. Vergara-Jaque, A., Fenollar-Ferrer, C., Mulligan, C., Mindell, J. A. & Forrest,
L. R. Family resemblances: A common fold for some dimeric ion-coupled
secondary transporters. J. Gen. Physiol. 146, 423–434 (2015).
22. Fitzgerald, G. A., Mulligan, C. & Mindell, J. A. A general method for determining
secondary active transporter substrate stoichiometry. Elife 6, e21016 (2017).
23. Sampson, C. D. D., Fabregas Bellavista, C., Stewart, M. J. & Mulligan, C.
Thermostability-based binding assays reveal complex interplay of cation,
substrate and lipid binding in the bacterial DASS transporter, VcINDY.
Biochem J. 478, 3847–3867 (2021).
24. Stein, W. D. Transport and Diffusion across Cell Membranes, 374–404
(Academic Press, New York, 1986).
25. Wright, S. H., Hirayama, B., Kaunitz, J. D., Kippen, I. & Wright, E. M. Kinetics
of sodium succinate cotransport across renal brush-border membranes. J. Biol.
Chem. 258, 5456–5462 (1983).
26. Yao, X. & Pajor, A. M. The transport properties of the human renal
Na+-dicarboxylate cotransporter under voltage-clamp conditions. Am. J. Physiol.
Ren. Physiol. 279, F54–F64 (2000).
27. Hall, J. A. & Pajor, A. M. Functional characterization of a Na+-coupled
dicarboxylate carrier protein from Staphylococcus aureus. J. Bacteriol. 187,
5189–5194 (2005).
28. Pajor, A. M., Sun, N. N. & Leung, A. Functional characterization of SdcF from
Bacillus licheniformis, a homolog of the SLC13 Na+/dicarboxylate
transporters. J. Membr. Biol. 246, 705–715 (2013).
29. Sampson, C. D. D., Stewart, M. J., Mindell, J. A. & Mulligan, C. Solvent
accessibility changes in a Na+-dependent C4-dicarboxylate transporter
suggest differential substrate effects in a multistep mechanism. J. Biol. Chem.
295, 18524–18538 (2020).
30. Hammes, G. G., Chang, Y. C. & Oas, T. G. Conformational selection or
induced fit: a flux description of reaction mechanism. Proc. Natl Acad. Sci.
USA 106, 13737–13741 (2009).
31. Boulter, J. M. & Wang, D. N. Purification and characterization of human
erythrocyte glucose transporter in decylmaltoside detergent solution. Prot.
Expr. Purif. 22, 337–348 (2001).
32. Li, X. D. et al. Monomeric state and ligand binding of recombinant GABA
transporter from Escherichia coli. FEBS Lett. 494, 165–169 (2001).
33. Law, C. J., Yang, Q., Soudant, C., Maloney, P. C. & Wang, D. N. Kinetic
evidence is consistent with the rocker-switch mechanism of membrane
transport by GlpT. Biochemistry 46, 12190–12197 (2007).
34. Law, C. J., Enkavi, G., Wang, D. N. & Tajkhorshid, E. Structural basis of
substrate selectivity in the glycerol-3-phosphate:phosphate antiporter.
Biophys. J. 97, 1346–1353 (2009).
8
NATURE COMMUNICATIONS |
(2022) 13:2644 | https://doi.org/10.1038/s41467-022-30406-4 | www.nature.com/naturecommunications
NATURE COMMUNICATIONS | https://doi.org/10.1038/s41467-022-30406-4
ARTICLE
35. Erkens, G. B. & Slotboom, D. J. Biochemical characterization of ThiT from
Lactococcus lactis: a thiamin transporter with picomolar substrate binding
affinity. Biochemistry 49, 3203–3212 (2010).
36. Canul-Tec, J. C. et al. The ion-coupling mechanism of human excitatory
amino acid transporters. EMBO J, 41, e108341 (2021).
37. Kang, B., Tang, H., Zhao, Z. & Song, S. Hofmeister Series: Insights of Ion
Specificity from Amphiphilic Assembly and Interface Property. ACS Omega 5,
6229–6239 (2020).
38. Boudker, O., Ryan, R. M., Yernool, D., Shimamoto, K. & Gouaux, E. Coupling
substrate and ion binding to extracellular gate of a sodium-dependent
aspartate transporter. Nature 445, 387–393 (2007).
39. Dutzler, R., Campbell, E. B., Cadene, M., Chait, B. T. & MacKinnon, R. X-ray
structure of a ClC chloride channel at 3.0 Å reveals the molecular basis of
anion selectivity. Nature 415, 287–294 (2002).
40. Sippel, K. H. & Quiocho, F. A. Ion-dipole interactions and their functions in
proteins. Protein Sci. 24, 1040–1046 (2015).
41. Adams, P. D., Pannu, N. S., Read, R. J. & Brunger, A. T. Cross-validated
maximum likelihood enhances crystallographic simulated annealing
refinement. Proc. Natl Acad. Sci. USA 94, 5018–5023 (1997).
42. Brunger, A. T. & Adams, P. D. Molecular dynamics applied to X-ray structure
refinement. Acc. Chem. Res 35, 404–412 (2002).
43. Vranken, W. F., Vuister, G. W. & Bonvin, A. M. NMR-based modeling
and refinement of protein 3D structures. Methods Mol. Biol. 1215, 351–380
(2015).
44. Chakrabarti, P. Does helix dipole have any role in binding metal ions in
protein structures? Arch. Biochem Biophys. 290, 387–390 (1991).
45. Ganesan, S. J. & Matysiak, S. Role of backbone dipole interactions in the
formation of secondary and supersecondary structures of proteins. J. Chem.
Theory Comput 10, 2569–2576 (2014).
46. Huang, Y., Lemieux, M. J., Song, J., Auer, M. & Wang, D. N. Structure and
mechanism of the glycerol-3-phosphate transporter from Escherichia coli.
Science 301, 616–620 (2003).
47. Abramson, J. et al. Structure and mechanism of the lactose permease of
Escherichia coli. Science 301, 610–615 (2003).
48. Yernool, D., Boudker, O., Jin, Y. & Gouaux, E. Structure of a
glutamate transporter homologue from Pyrococcus horikoshii. Nature 431,
811–818 (2004).
49. Yamashita, A., Singh, S. K., Kawate, T., Jin, Y. & Gouaux, E. Crystal structure
of a bacterial homologue of Na+/Cl−-dependent neurotransmitter
transporters. Nature 437, 215–223 (2005).
50. Drew, D. & Boudker, O. Shared molecular mechanisms of membrane
transporters. Annu Rev. Biochem 85, 543–572 (2016).
51. Zhou, Z. et al. LeuT-desipramine structure reveals how antidepressants block
neurotransmitter reuptake. Science 317, 1390–1393 (2007).
52. Reyes, N., Ginter, C. & Boudker, O. Transport mechanism of a bacterial
homologue of glutamate transporters. Nature 462, 880–885 (2009).
53. Arkhipova, V., Guskov, A. & Slotboom, D. J. Structural ensemble of a
glutamate transporter homologue in lipid nanodisc environment. Nat.
Commun. 11, 998 (2020).
54. Hanelt, I., Wunnicke, D., Bordignon, E., Steinhoff, H. J. & Slotboom, D. J.
Conformational heterogeneity of the aspartate transporter GltPh. Nat. Struct.
Mol. Biol. 20, 210–214 (2013).
55. Georgieva, E. R., Borbat, P. P., Ginter, C., Freed, J. H. & Boudker, O.
Conformational ensemble of the sodium-coupled aspartate transporter. Nat.
Struct. Mol. Biol. 20, 215–221 (2013).
56. Erkens, G. B., Hanelt, I., Goudsmits, J. M., Slotboom, D. J. & van Oijen, A. M.
Unsynchronised subunit motion in single trimeric sodium-coupled aspartate
transporters. Nature 502, 119–123 (2013).
Jensen, S., Guskov, A., Rempel, S., Hanelt, I. & Slotboom, D. J. Crystal
structure of a substrate-free aspartate transporter. Nat. Struct. Mol. Biol. 20,
1224–1226 (2013).
57.
58. Wang, X. & Boudker, O. Large domain movements through the lipid bilayer
mediate substrate release and inhibition of glutamate transporters. Elife 9,
e58417 (2020).
59. Grewer, C. et al. Charge compensation mechanism of a Na+-coupled, secondary
active glutamate transporter. J. Biol. Chem. 287, 26921–26931 (2012).
60. Nath, S. Charge transfer across biomembranes: A solution to the conundrum
of high desolvation free energy penalty in ion transport. Biophys. Chem. 275,
106604 (2021).
61. Love, J. et al. The New York Consortium on Membrane Protein Structure
(NYCOMPS): a high-throughput platform for structural genomics of integral
membrane proteins. J. Struct. Funct. Genomics 11, 191–199 (2010).
Jarmoskaite, I., AlSadhan, I., Vaidyanathan, P. P. & Herschlag, D. How to
measure and evaluate binding affinities. Elife 9, e57264 (2020).
62.
63. Huynh, K. W. et al. CryoEM structure of the human SLC4A4 sodium-coupled
acid-base transporter NBCe1. Nat. Commun. 9, 900 (2018).
64. Schorb, M., Haberbosch, I., Hagen, W. J. H., Schwab, Y. & Mastronarde, D. N.
Software tools for automated transmission electron microscopy. Nat. Methods
16, 471–477 (2019).
65. Punjani, A., Rubinstein, J. L., Fleet, D. J. & Brubaker, M. A. cryoSPARC:
algorithms for rapid unsupervised cryo-EM structure determination. Nat.
Methods 14, 290–296 (2017).
66. Afonine, P. V. et al. Real-space refinement in PHENIX for cryo-EM and
crystallography. Acta Crystallogr D. Struct. Biol. 74, 531–544 (2018).
67. Emsley, P. & Cowtan, K. Coot: model-building tools for molecular graphics.
Acta Crystallogr D. Biol. Crystallogr 60, 2126–2132 (2004).
68. Adams, P. D. et al. PHENIX: a comprehensive Python-based system for
macromolecular structure solution. Acta Crystallogr D. Biol. Crystallogr 66,
213–221 (2010).
69. Pettersen, E. F. et al. UCSF Chimera–a visualization system for exploratory
research and analysis. J. Comput Chem. 25, 1605–1612 (2004).
70. DeLano, W. L. The PyMOL User’s Manual, 1 (DeLano Scientific, San Carlos,
CA, 2002).
Acknowledgements
This work was financially supported by the NIH (R01NS108151, R01GM121994 and R01-
DK099023), the G. Harold & Leila Y. Mathers Foundation and the TESS Research Foun-
dation (to D.N.W); and Wellcome Trust (210121/Z/18/Z) and BBSRC (BB/V007424/1) (to
C.M.). D.B.S. was supported by the American Cancer Society Postdoctoral Fellowship
(129844-PF-17-135-01-TBE) and Department of Defense Horizon Award (W81XWH-16-1-
0153). We thank the following colleagues for helpful discussions: N. Coudray, R. Gonzalez
Jr., M. Lopez Redondo, J.A. Mindell and E. Tajkhorshid. We are also grateful to colleagues at
the Biophysics Colab, C. Grewer, R.M. Ryan and X. Wang, for commenting on the
manuscript. We thank the staff at the NYU Cryo-EM Facility and the NYU Microscopy Core
for assistance in grid screening and the Pacific Northwest Center for Cryo-EM in data
collection. EM data processing used computing resources at the HPC Facility of NYULMC.
Author contributions
J.J.M., J.S. and C.M. purified the proteins. J.J.M., J.C.S. and D.B.S. collected and analyzed
the substrate-binding data. C.M. did all the cysteine PEGylation experiments. D.B.S
collected and processed the cryo-EM images and built the atomic models. D.B.S and
D.N.W. analyzed the structures. D.B.S., C.M. and D.N.W. wrote the manuscript. All
authors participated in the discussion and manuscript editing. C.M. and D.N.W.
supervised the research.
Competing interests
The authors declare no competing interests.
Additional information
Supplementary information The online version contains supplementary material
available at https://doi.org/10.1038/s41467-022-30406-4.
Correspondence and requests for materials should be addressed to Christopher
Mulligan or Da-Neng Wang.
Peer review information Nature Communications thanks Jeff Abramson, Reinhart
Reithmeier and the other, anonymous, reviewer(s) for their contribution to the peer
review of this work. Peer reviewer reports are available.
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© The Author(s) 2022
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ARTICLE
EVAP: A two-photon imaging tool to study
conformational changes in endogenous Kv2 channels
in live tissues
Parashar Thapa1*, Robert Stewart1*, Rebecka J. Sepela1, Oscar Vivas2, Laxmi K. Parajuli2, Mark Lillya1, Sebastian Fletcher-Taylor1,3,
Bruce E. Cohen3,4, Karen Zito2, and Jon T. Sack1,5*
A primary goal of molecular physiology is to understand how conformational changes of proteins affect the function of cells,
tissues, and organisms. Here, we describe an imaging method for measuring the conformational changes of the voltage sensors
of endogenous ion channel proteins within live tissue, without genetic modification. We synthesized GxTX-594, a variant of
the peptidyl tarantula toxin guangxitoxin-1E, conjugated to a fluorophore optimal for two-photon excitation imaging through
light-scattering tissue. We term this tool EVAP (Endogenous Voltage-sensor Activity Probe). GxTX-594 targets the voltage
sensors of Kv2 proteins, which form potassium channels and plasma membrane–endoplasmic reticulum junctions. GxTX-594
dynamically labels Kv2 proteins on cell surfaces in response to voltage stimulation. To interpret dynamic changes in
fluorescence intensity, we developed a statistical thermodynamic model that relates the conformational changes of Kv2 voltage
sensors to degree of labeling. We used two-photon excitation imaging of rat brain slices to image Kv2 proteins in neurons.
We found puncta of GxTX-594 on hippocampal CA1 neurons that responded to voltage stimulation and retain a voltage
response roughly similar to heterologously expressed Kv2.1 protein. Our findings show that EVAP imaging methods enable the
identification of conformational changes of endogenous Kv2 voltage sensors in tissue.
image the conformational changes of endogenous Kv2 voltage-
sensitive proteins.
Introduction
To move the field of voltage-sensitive physiology forward, we
need new tools that indicate when and where voltage-sensitive
Kv2 proteins form voltage-gated K+ channels (Frech et al.,
conformational changes in endogenous proteins occur. Many
classes of transmembrane proteins have been found to be voltage
1989), bind endoplasmic reticulum proteins to form plasma
membrane–endoplasmic reticulum junctions (Johnson et al.,
sensitive (Bezanilla, 2008). One important class of voltage-sensitive
proteins is the voltage-gated ion channels. Electrophysiological
2018; Kirmiz et al., 2018a), regulate a wide variety of physio-
techniques have enabled remarkably precise studies of the voltage
logical responses in tissues throughout the body (Bocksteins,
sensitivity of ionic conductances, primarily under reduc-
2016), and integrate their response to voltage with many other
tionist experimental conditions where the channels have been
cellular processes, including phosphorylation (Murakoshi et al.,
removed from their native tissue. In addition to their canon-
1997), SUMOylation (Plant et al., 2011), oxidation (MacDonald
ical function as ion-conducting channels, voltage-gated ion
et al., 2003), membrane lipid composition (Ramu et al., 2006),
channel proteins have nonconducting functions that are in-
and auxiliary subunits (Gordon et al., 2006; Peltola et al., 2011).
dependent of their ion conducting functions (Tanabe et al.,
Kv2 proteins are members of the voltage-gated cation channel
1988; Kaczmarek, 2006). These nonconducting protein func-
superfamily. The voltage sensors of proteins in this superfamily
comprise a bundle of four transmembrane helices termed S1–S4
tions are largely inaccessible to study by electrophysiology
and are more poorly understood. Novel approaches are needed
(Long et al., 2005, 2007). The S4 helix contains positively
to learn more about voltage sensing in intact tissues and to
charged arginine and lysine residues, gating charges, that re-
unlock the mysterious realm of nonconducting voltage-
spond to voltage changes by moving through the transmem-
sensitive physiology. Here, we present a new approach to
brane electric field (Aggarwal and MacKinnon, 1996; Seoh et al.,
.............................................................................................................................................................................
1Department of Physiology and Membrane Biology, University of California, Davis, Davis, CA;
3The
Molecular Foundry, Lawrence Berkeley National Laboratory, Berkeley, CA;
Laboratory, Berkeley, CA;
5Department of Anesthesiology and Pain Medicine, University of California, Davis, Davis, CA.
4Division of Molecular Biophysics and Integrated Bioimaging, Lawrence Berkeley National
2Center for Neuroscience, University of California, Davis, Davis, CA;
*P. Thapa and R. Stewart contributed equally to this paper; Correspondence to Jon T. Sack: jsack@ucdavis.edu.
© 2021 Thapa et al. This article is distributed under the terms of an Attribution–Noncommercial–Share Alike–No Mirror Sites license for the first six months after the
publication date (see http://www.rupress.org/terms/). After six months it is available under a Creative Commons License (Attribution–Noncommercial–Share Alike 4.0
International license, as described at https://creativecommons.org/licenses/by-nc-sa/4.0/).
Rockefeller University Press
J. Gen. Physiol. 2021 Vol. 153 No. 11
e202012858
https://doi.org/10.1085/jgp.202012858
1 of 24
1996; Islas and Sigworth, 1999). When voltage sensor domains
encounter a transmembrane voltage that is more negative on the
inside of the cell membrane, voltage sensors are biased toward
resting conformations, or down states, in which gating charges
are localized intracellularly. When voltage becomes more posi-
tive, gating charges translate toward the extracellular side of the
membrane, and voltage sensors are progressively biased toward
up states in a process of voltage activation (Armstrong and
Bezanilla, 1973; Zagotta et al., 1994; Tao et al., 2010; Xu et al.,
2019). Channel pore opening is distinct from, but coupled to,
voltage sensor movement. In some voltage-gated ion channel
proteins, voltage sensor movement is coupled to nonconducting
protein functions (Tanabe et al., 1988; Kaczmarek, 2006). To
study the functional outputs of voltage sensors, it is essential
to measure voltage sensor activation itself. Conformational
changes of voltage sensors have been detected with electro-
physiological measurements of gating currents (Armstrong and
Bezanilla, 1973; Schneider and Chandler, 1973; Bezanilla, 2018)
or by optical measurements from fluorophores inserted near
voltage sensors by genetic encoding (Lin and Schnitzer, 2016) or
chemical modification (Zhang et al., 2015). However, the following
experimental limitations prevent these existing techniques from
measuring conformational changes of voltage sensors of most
endogenous proteins: gating currents can only be measured when
the proteins are expressed at high density in a voltage-clamped
membrane; engineered proteins differ from endogenous channels;
most chemical modification strategies result in off-target labeling;
and conjugation of fluorophores into voltage sensors irreversibly
alters structure and function. Here, we develop a different strat-
egy to reveal conformational states of Kv2 proteins.
To image where in tissue the voltage sensors of Kv2 pro-
teins adopt a specific resting conformation, we exploited the
conformation-selective binding of the tarantula peptide guang-
xitoxin (GxTX)-1E, which can be conjugated to fluorophores to
report Kv2 conformational changes (Tilley et al., 2014; Fletcher-
Taylor et al., 2020; Stewart et al., 2021). Here, we synthesize
GxTX-594, a Ser13Cys GxTX variant conjugated to Alexa Fluor
594, a fluorophore compatible with two-photon excitation
imaging through light-scattering tissue. GxTX-594 dynamically
binds Kv2 channels in living tissue. When GxTX-594 binds, it
becomes immobilized and fluorescently labels Kv2 proteins at
the cell surface. When Kv2 channels become voltage activated,
GxTX-594 unbinds, resulting in unlabeling (see illustration).
This labeling/unlabeling dynamic is similar to a recently re-
ported point accumulation for imaging of nanoscale topology
superresoluton imaging method (Legant et al., 2016), yet the
method reported here is sensitive to changes in protein con-
formation. GxTX-594 labeling of Kv2 proteins equilibrates on
the time scale of seconds, revealing the probability (averaged
over time) that unbound voltage sensors are resting or active.
Here, we develop a method to calculate the average conforma-
tional status of unlabeled Kv2 proteins from images of GxTX-594
fluorescence and deploy the GxTX-594 probe in brain slices to
image voltage-sensitive fluorescence changes that reveal con-
formational changes of endogenous neuronal Kv2 proteins. We
refer to this type of imaging tool as an Endogenous Voltage-
sensor Activity Probe (EVAP). This EVAP approach provides
an imaging technique to study conformational changes of en-
dogenous voltage-sensitive Kv2 proteins in samples that have
not (or cannot) be genetically modified.
Materials and methods
GxTX-594 synthesis
We used solid-phase peptide synthesis to generate a variant of
GxTX, an amphiphilic 36-amino acid cystine knot peptide. We
synthesized the same peptide used for GxTX-550, Ser13Cys
GxTX, where a free thiolate side chain of cysteine 13 is predicted
to extend into extracellular solution when the peptide is bound
to a voltage sensor (Tilley et al., 2014). GxTX-1E folds by for-
mation of three internal disulfides, and cysteine 13 was differen-
tially protected during oxidative refolding to direct chemoselective
conjugation. Following refolding and thiol deprotection, Alexa
Fluor 594 C5 maleimide was condensed with the free thiol, and
Ser13Cys (Alexa Fluor 594) GxTX-1E (called GxTX-594) was
purified (Fig. S1).
The Ser13Cys GxTX peptide was synthesized as previously
described (Tilley et al., 2014). Methionine 35 of GxTX was re-
placed by the oxidation-resistant noncanonical amino acid
norleucine to avoid complications from methionine oxidation,
and serine 13 was replaced with cysteine to create a spinster
thiol. Ser13Cys GxTX was labeled with a Texas Red derivative
(Alexa Fluor 594 C5 maleimide, cat. #10256; Thermo Fisher
Scientific) to form GxTX-594. Ser13Cys GxTX lyophilisate was
brought to 560 μM in 50% acetonitrile (ACN) + 1 mM Na2EDTA.
2.4 μl of 1M Tris (pH 6.8 with HCl), 4 μl of 10 mM Alexa Fluor
594 C5 maleimide in DMSO, and 17.9 μl of 560 μM Ser13Cys
GxTX were added for a final solution of 100 mM Tris, 1.6 mM
Alexa Fluor 594 C5 maleimide, and 0.4 mM GxTX in 24 μl of
reaction solution. Reactants were combined in a 1.5-ml low-
protein–binding polypropylene tube (LoBind, cat. #022431081;
Eppendorf) and mixed at 1,000 rpm at 20°C for 4 h (Thermo-
mixer 5355 R; Eppendorf). After incubation, the tube was
centrifuged at 845 RCF for 10 min at room temperature. A purple
pellet was observed after centrifugation. The supernatant was
transferred to a fresh tube and centrifuged at 845 RCF for
10 min. After this second centrifugation, no visible pellet was
seen. The supernatant was injected onto a reverse-phase HPLC
C18 column (Biobasic 4.6-mm RP-C18 5 μm, cat. #2105-154630;
Thermo Fisher Scientific) equilibrated in 20% ACN, 0.1% tri-
fluoroacetic acid (TFA) at 1 ml/min, and eluted with a protocol
holding in 20% ACN for 2 min, increasing to 30% ACN over
1 min, then increasing ACN at 0.31% per minute. HPLC effluent
was monitored by fluorescence and an absorbance array detec-
tor. 1-ml fractions were pooled based on fluorescence (280-nm
Thapa et al.
Imaging conformational change of endogenous Kv2
Journal of General Physiology
https://doi.org/10.1085/jgp.202012858
2 of 24
excitation, 350-nm emission) and absorbance (214 nm, 280 nm,
and 594 nm). GxTX-594 peptide–fluorophore conjugate eluted at
∼35% ACN, and mass was confirmed by mass spectrometry
using a Bruker ultrafleXtreme matrix-assisted laser desorption
ionization time-of-flight (MALDI-TOF; Fig. S1). Samples for
identification from HPLC eluant were mixed 1:1 in an aqueous
solution of 25% MeOH and 0.05% TFA saturated with α-cyano-4-
hydrocinnamic acid, pipetted onto a ground-steel plate, dried
under vacuum, and ionized with 60–80% laser power. Molecular
species were detected using a reflector mode protocol and
quantitated using Bruker Daltonics flexAnalysis 3.4 software.
Lyophilizate containing GxTX-594 conjugation product was
dissolved in cell external (CE) buffer (defined below) and stored
at −80°C. GxTX-594 concentration was determined by 280-nm
absorbance using a calculated molar attenuation coefficient of
18,900 M−1 cm−1.
Chinese hamster ovary (CHO) cell methods
CHO cell culture and transfection
The CHO-K1 cell line (American Type Culture Collection) and
a subclone transfected with a tetracycline-inducible rat Kv2.1
construct (Kv2.1-CHO; Trapani and Korn, 2003) were cultured
as described previously (Tilley et al., 2014). To induce Kv2.1
expression in Kv2.1-TREx-CHO cells, 1 μg/ml minocycline (cat.
#ALX-380-109-M050; Enzo Life Sciences), prepared in 70%
ethanol at 2 mg/ml, was added to the maintenance media to
induce Kv2.1 expression. Minocycline was added 40–48 h before
imaging and voltage-clamp fluorometry experiments. Minocy-
cline was added 1–2 h before whole-cell ionic current recordings
to limit K+ conductance such that voltage clamp could be
maintained. Transfections were achieved with Lipofectamine
2000 (cat. #1668027; Life Technologies). 1.1 μl Lipofectamine
was diluted, mixed, and incubated in 110 μl of Opti-MEM (pro-
duct no. 31985062, lot no. 1917064; Gibco-BRL) in a 1:100 ratio for
5 min at room temperature. Concurrently, 1 μg of plasmid DNA
and 110 μl of Opti-MEM were mixed in the same fashion. DNA
and Lipofectamine 2000 mixtures were mixed and left at room
temperature for 20 min. Then, the transfection cocktail mixture
was added to 2 ml of culture media in a 35-mm cell culture dish
of CHO cells at ∼40% confluency and allowed to settle at 37°C in
5% CO2 for 4–6 h before the media were replaced. Cells were
given 40–48 h recovery following transfection before being used
for experiments. Rat Kv2.1-GFP (Antonucci et al., 2001), rat
Kv2.2-GFP (Kirmiz et al., 2018b), rat Kv1.5-GFP (Li et al., 2001),
rat Kv4.2-GFP (Shibata et al., 2003), mouse BK-GFP, rat KvBeta2
(Shibata et al., 2003), and rat KCHiP2 (An et al., 2000) plasmids
were all gifts from James Trimmer (University of California,
Davis, Davis, CA). Identities of constructs were confirmed by
sequencing from their cytomegalovirus promoter. To minimize
any day-to-day variances, the cells in experiments shown in
Fig. 4 or Fig. S2 were each plated for all transfections from a
single-cell suspension, transfected in parallel, and imaged 2 d
later using the same thawed aliquot of GxTX-594.
Confocal and Airy disk imaging
Confocal images were obtained with an inverted confocal system
(LSM 880 410900-247-075; Zeiss) run by ZEN Black 2.1
software. A 63×/1.40 NA oil DIC objective (420782-9900-799;
Zeiss) was used for most imaging experiments; a 63×/1.2 NA
water DIC objective (441777-9970-000; Zeiss) was used for
voltage clamp fluorometry experiments. GFP and YFP were
excited with the 488-nm line from an argon laser (3.2 mW at
installation) powered at 0.5% unless otherwise noted. GxTX-594
was excited with a 594-nm helium–neon laser (0.6 mW at in-
stallation) powered at 10% unless otherwise noted. Wheat germ
agglutinin (WGA)-405 was excited with a 405-nm diode laser
(3.5 mW at installation) powered at 1% unless otherwise noted.
Temperature inside the microscope housing was 27–30°C.
In confocal imaging mode, fluorescence was collected with
the microscope’s 32-detector gallium arsenide phosphide de-
tector array arranged with a diffraction grating to measure
400–700-nm emissions in 9.6-nm bins. Emission bands were
495–550 nm for GFP and YFP, 605–700 nm for GxTX-594, and
420–480 nm for WGA-405. Point spread functions were calcu-
lated using ZEN Black software using emissions from 0.1-μm
fluorescent microspheres prepared on a slide according to
manufacturer’s instructions (cat. #T7279; Thermo Fisher Sci-
entific). The point spread functions for confocal images with the
63×/1.40 NA oil DIC objective in the x–y direction were 228 nm
(488-nm excitation) and 316 nm (594-nm excitation).
In Airy disk imaging mode, fluorescence was collected with
the microscope’s 32-detector gallium arsenide phosphide de-
tector array arranged in a concentric hexagonal pattern (Airy-
scan 410900-2058-580; Zeiss). After deconvolution, the point
spread functions for the 63×/1.40 NA oil objective with 488-nm
excitation was 124 nm in x–y and 216 nm in z and with 594-nm
excitation, 168 nm in x–y and 212 nm in z. For the 63×/1.2 NA
water objective, the point spread function with 488-nm excita-
tion was 187 nm in x–y and 214 nm in z and with 594-nm ex-
citation, 210 nm in x–y and 213 nm in z.
Unless stated otherwise, cells were plated in uncoated 35-mm
dishes with a 7-mm inset no. 1.5 coverslip (cat. #P35G-1.5-20-C;
MatTek). The CHO CE solution used for imaging and electro-
physiology contained (in mM): 3.5 KCl, 155 NaCl, 10 HEPES, 1.5
CaCl2, and 1 MgCl2, adjusted to pH 7.4 with NaOH. Measured
osmolality was 315 mOsm/liter. When noted, solution was sup-
plemented with either 10 mM glucose (CEG) or 10 mM glucose
and 1% BSA (CEGB).
For time lapse, GxTX-594 concentration–effect experiments,
Kv2.1-CHO cells were plated onto 22 × 22-mm no. 1.5H cover-
glass (Deckglaser), and Kv2.1 expression was induced with
minocycline 48 h before experiments such that all Kv2.1-CHO
cells expressed Kv2.1. Prior to imaging, cell maintenance media
were removed and replaced with CEGB, then the coverslip was
mounted on an imaging chamber (cat. #RC-24E; Warner In-
struments) with vacuum grease. We performed three 10-fold
serial dilutions of 1,000 nM GxTX-594 to generate the range of
concentrations used for this concentration–effect experiment
and applied each concentration of GxTX-594 to Kv2.1-CHO cells
for 15 min followed by 15 min of washout before the next con-
centration of GxTX-594 was applied. Solutions were added to the
imaging chamber perfusion via a syringe at a flow rate of ∼1 ml
per 10 s. Images were taken every 5 s. Laser power was set to
0.5% for the 488-nm laser and 1.5% for the 594-nm laser. For
Thapa et al.
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colocalization experiments with GFP-tagged proteins, cells were
incubated in 100 nM GxTX-594 for 5 min and then washed with
1 ml CEGB three times before imaging.
Whole-cell voltage clamp for CHO cell imaging
Kv2.1-CHO cells plated in glass-bottom 35-mm dishes were in-
cubated in minocycline for 48 h to induce Kv2.1 channel
expression. Cells were washed with CEGB, placed in the
microscope, and then incubated in 100 μl of 100 nM GxTX-594
for 5 min to label cells. Before patch clamp, the solution was
diluted with 1 ml of CEG for a working concentration of 9 nM
GxTX-594 during experiments. We determined the time re-
quired for GxTX-594 to reach a stable fluorescence after dilution
from 100 nM to 9 nM by time-lapse imaging during dilution
(Fig. 5 A). The rate of fluorescence change (kΔF) indicated that,
on average, equilibration was 85% complete 9 min after dilution
to 9 nM. After dilution to 9 nM, the mean fluorescence intensity
decreased by 39.1 ± 8.4% and remained stable (Fig. 5 B). Cells
with obvious GxTX-594 surface staining were voltage clamped
in whole-cell mode with an EPC-10 patch-clamp amplifier
(HEKA Elektronik) run by Patchmaster software (v2 × 90.2;
HEKA Elektronik). The patch pipette contained the following
potassium-deficient Cs+ internal pipette solution to reduce
voltage error by limiting outward current: 70 mM CsCl, 50 mM
CsF, 35 mM NaCl, 1 mM EGTA, and 10 mM HEPES, brought to
pH 7.4 with CsOH. Osmolality was 310 mOsm/liter. The liquid
junction potential was calculated to be 3.5 mV and was not
corrected. Borosilicate glass pipettes (cat. #BF150-110-10HP;
Sutter Instruments) were pulled with blunt tips to resistances
<3.0 MΩ in these solutions. Cells were held at −80 mV (unless
noted otherwise) and stepped to indicated voltages. The voltage
step stimulus was maintained until any observed change in
fluorescence was complete. Cells were stepped to −80 mV for at
least 1 min and were visually inspected to determine sufficient
fluorescence recovery before being stepped to another voltage.
This recovery time did not always allow GxTX-594 labeling to
equilibrate fully. For stimulus frequency dependence experi-
ments, cells were given 2-ms steps to 40 mV at the stated fre-
quencies (0.02, 5, 10, 20, 50, 100, 150, or 200 Hz). Images for
voltage clamp fluorometry were taken in Airy disk imaging
mode with the settings described above.
During time-lapse imaging of voltage-clamped cells, we no-
ticed that GxTX-594 fluorescence in the center of the glass-
adhered surface responded more slowly to voltage changes
than the periphery. At −80 mV, at the center of the glass-
adhered cell surface, relabeling was incomplete after 500 s;
however, at the cell periphery, relabeling neared completion
within 200 s (Fig. S4 A). To quantify this observation, concentric
circular regions of interest (ROIs) were drawn, with the smallest
ROI in the center of the glass-adhered surface. The average
fluorescence intensities from each of these ROIs were compared
with each other and an ROI at the cell periphery (Fig. S4, B and
C). We quantified kΔF by fitting the average fluorescence in-
tensities from each ROI with a monoexponential function (Eq.
1 in Image analysis). In response to voltage change, the kΔF was
consistently slower at the center of the glass-adhered surface
and faster toward the outer periphery (Fig. S4, D and E). While
kΔF was consistently slower at the center of the glass-adhered
surface, we observed that kΔF was more pronounced during la-
beling at −80 mV than unlabeling at 40 mV. When cells were
held at a membrane potential of −80 mV, kΔF at the periphery
was ∼10-fold faster than the kΔF at the center of the cell. In
comparison, when the membrane potential was held at 40 mV,
kΔF at the periphery was approximately threefold faster than the
kΔF at the center of the cell. The gradual change in fluorescence
intensity over many seconds after a voltage step is inconsistent
with a fast electrochromic effect leading to fluorescence change
as the change in fluorescence intensity does not occur instan-
taneously when the membrane potential is stepped. Addition-
ally, the slowing of kΔF in subcellular regions farther from the
periphery of cells is inconsistent with a slower electrochromic
effect as whole-cell voltage clamp should render the membrane
surface isopotential.
K+ channel–GFP ionic current recordings
Whole-cell voltage clamp was used to measure currents from
CHO cells expressing Kv2.1-GFP, Kv2.2-GFP, Kv1.5-GFP, Kv4.2-
GFP, BK-GFP, or GFP that was transfected as described above.
Cells were plated on glass-bottom dishes. Cells were held at −80
mV, then 100-ms voltage steps were delivered ranging from
−80 mV to +80 mV in +5-mV increments. Pulses were repeated
every 2 s. The external (bath) solution contained CE solution.
The internal (pipette) solution contained (in mM) 35 KOH, 70
KCl, 50 KF, 50 HEPES, and 5 EGTA, adjusted to pH 7.2 with KOH.
Liquid junction potential was calculated to be 7.8 mV and was
not corrected. Borosilicate glass pipettes (cat. #BF150-110-10HP;
Sutter Instruments) were pulled into pipettes with resistance <3
MΩ for patch clamp recording. Recordings were at room tem-
perature (22–24°C). Voltage clamp was achieved with an Axon
Axopatch 200B Amplifier (Molecular Devices) run by Patchmaster
software (v2 × 90.2; HEKA Elektronik). Holding potential was
−80 mV capacitance and ohmic leak were subtracted using a P/5
protocol. Recordings were low-pass filtered at 10 kHz and digitized
at 100 kHz. Voltage clamp data were plotted with Igor Pro 7
(WaveMetrics). As the experiments plotted in Fig. S2 A were
merely to confirm functional expression of ion channels at the cell
surface, series resistance compensation was not used, and sub-
stantial cell voltage errors are predicted during these experiments.
Kv2.1 ionic current recordings
Prior to patching, Kv2.1-CHO cells were washed in divalent-free
PBS and then harvested in Versene (cat. #15040066; Gibco-BRL).
Cells were scraped and transferred to a polypropylene tube,
pelleted, and washed three times at 1,000 g for 2 min and then
resuspended in the same external solution as used in the re-
cording chamber bath. Cells were rotated in a polypropylene
tube at room temperature (22–24°C) until use. Cells were then
pipetted into a 50-μl recording chamber (RC-24N; Warner In-
struments) prefilled with external solution and allowed to settle
for ≥5 min. After adhering to the bottom of the glass recording
chamber, cells were thoroughly rinsed with external solution
using a gravity-driven perfusion system. Cells showing uniform
intracellular GFP expression of intermediate intensity were se-
lected for patching.
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Voltage clamp was achieved with a patch clamp amplifier
(Axon Axopatch 200B; Molecular Devices) run by Patchmaster
software. Borosilicate glass pipettes (BF150-110-7.5HP; Sutter
Instruments) were pulled with blunt tips, coated with silicone
elastomer (Sylgard 184; Dow Corning), heat cured, and tip fire-
polished to resistances <4 MΩ. Capacitance and ohmic leak were
subtracted using a P/5 protocol. Recordings were low-pass fil-
tered at 10 kHz using the amplifier’s built-in Bessel function and
digitized at 100 kHz.
For whole-cell ionic current measurements in Kv2.1-CHO
cells, the external patching solution contained (in mM) 3.5 KCl,
155 NaCl, 10 HEPES, 1.5 CaCl2, and 1 MgCl2, adjusted to pH 7.4
with NaOH. The internal (pipette) solution contained (in mM)
70 KCl, 5 EGTA, 50 HEPES, 50 KF, and 35 KOH, adjusted to pH
7.4 with KOH. The osmolality was 315 mOsm/liter for the ex-
ternal solution and 310 mOsm/liter for the internal solution
measured by a vapor pressure osmometer. Following estab-
lishment of the whole-cell seal, ionic K+ current recordings were
taken in the presence of a vehicle, which consisted of 100 nM
tetrodotoxin, 10 mM glucose, and 0.1% BSA prepared in external
solution. Cells were held at −100 mV with channel activation
steps ranging from −80 mV to +120 mV in increments of +5 mV
(100 ms) before being returned to 0 mV (100 ms) to record tail
currents. The intersweep interval was 2 s. To determine the
bioactivity of GxTX-594, Kv2.1 ionic currents were recorded
once more, 5 min following the wash-in of bath solution also
containing 100 nM GxTX-594. Wash-ins were performed while
holding at −100 mV; 100 μl was washed through the chamber
and removed distally through vacuum tubing to maintain con-
stant bath fluid level.
Ionic current analysis
The average current in the 100 ms before voltage step was used
to zero subtract the recording. Outward current taken as the
mean value between 90 and 100 ms of the channel activation
step was used to calculate and correct for series resistance-
induced voltage error. Tail current values were derived from the
mean value between 0.2 and 1.2 ms of the 0-mV tail current step.
Tail current was normalized by the mean activation step current
from 50 to 80 mV and plotted against the estimated membrane
potential, which had been corrected for voltage error and the
calculated liquid junction potential of 8.5 mV. These tail GV plots
were fit with a fourth-power Boltzmann function (Sack et al.,
2004), and the fit parameters were used for statistical analysis.
Brain slice methods
Hippocampal slice culture preparation and transfection
All experimental procedures were approved by the University of
California, Davis, institutional animal care and use committee
and were performed in strict accordance with the Guide for the
Care and Use of Laboratory Animals of the National Institutes of
Health. Animals were maintained under standard light–dark
cycles and had ad libitum access to food and water. Organotypic
hippocampal slice cultures were prepared from postnatal day
5–7 rats, as previously described (Stoppini et al., 1991) and
detailed in a video protocol (Opitz-Araya and Barria, 2011).
DIV15–30 neurons were transfected 2–6 d before imaging via
biolistic gene transfer (160 psi, Helios gene gun; Bio-Rad) as
described in a detailed video protocol (Woods and Zito, 2008).
10 μg of plasmid was coated to 6–8 mg of 1.6-μm gold beads.
Two-photon excitation slice imaging
Image stacks (512 × 512 pixels, 1-mm Z-steps, 0.035 μm/pixel)
were acquired using a custom two-photon excitation microscope
(LUMPLFLN 60XW/IR2 objective, 60×/1.0 NA; Olympus) with
two pulsed Ti:sapphire lasers (Mai Tai; Spectra Physics) tuned to
810 nm (for GxTX-594 imaging) and 930 nm (for GFP imaging)
and controlled with ScanImage software (Pologruto et al., 2003).
After identifying a neuron expressing Kv2.1-GFP, perfusion was
stopped, and GxTX-594 was added to the static bath solution to a
final concentration of 100 nM. After 5-min incubation, perfu-
sion was restarted, leading to washout of GxTX-594 from the
slice bath. Red and green photons (565dcxr, BG-22 glass, HQ607/
45; Chroma Technology) emitted from the sample were collected
with two sets of photomultiplier tubes (R3896; Hamamatsu).
Whole-cell voltage clamp for brain slice imaging
Organotypic hippocampal slice cultures (6–7 DIV, not trans-
fected) were transferred to an imaging chamber with re-
circulating artificial cerebrospinal fluid (ACSF) maintained at
30°C. To hold the slice to the bottom of the chamber, a
horseshoe-shaped piece of gold wire was used to weight the
membrane holding the slice. ACSF contained (in mM) 127 NaCl,
25 NaHCO3, 25 D-glucose, 2.5 KCl, 1.25 NaH2PO4, 1 MgCl2,
2 CaCl2, and 200 nM tetrodotoxin, pH 7.3, and aerated with 95%
O2/5% CO2 (∼310 mOsm). 4 ml of 100 nM GxTX-594 in ACSF was
used in the circulating bath to allow the toxin to reach the slice
and reach the desired concentration of 100 nM throughout the
circulating bath. Images were acquired beginning 3 min after
GxTX-594 was added. Apparent CA1 neurons with GxTX-594
labeling in a Kv2-like pattern were selected for whole-cell
patch clamp. Voltage clamp was achieved using an Axopatch
200B Amplifier (Molecular Devices) controlled with custom
software written in MATLAB (MathWorks, Inc.). Patch pipettes
(5–7 MΩ) were filled with intracellular solution containing (in
mM) 135 Cs-methanesulfonate, 10 Na2-phosphocreatine, 3 Na-L-
ascorbate, 4 NaCl, 10 HEPES, 4 MgCl2, 4 Na2ATP, and 0.4 NaGTP,
pH 7.2. Neurons were clamped at −70 mV. Input resistance and
holding current were monitored throughout the experiment. Cells
were excluded if the pipette series resistance was >25 MΩ or if the
holding current exceeded −100 pA. To activate Kv2 channels, a 50-
s depolarizing step from −70 mV to 0 mV was given.
Image analysis
Fluorescence images were analyzed using ImageJ 1.52n software
(Schneider et al., 2012). ROIs encompassed the entire fluorescent
region of an individual cell or neuron unless mentioned other-
wise. ROIs were drawn manually. Analysis of images was con-
ducted independently by multiple researchers who produced
similar results, but analysis was not conducted in a blinded or
randomized fashion. Fluorescence intensity (F) was background
subtracted using the mean F of a region that did not contain cells.
In experiments with CHO cells where the bath solution contained
9 nM GxTX-594, the apparent surface membrane of most cells (40
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Journal of General Physiology
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of 47) lacking Kv2.1-GFP protein had lower F than the background
region that did not contain cells (Fig. S3 B, horizontal black dashed
line), indicating that the background F was overestimated. Based
on the mean F from the apparent surface membrane of cells
lacking Kv2.1 protein, the background was overestimated by 24%.
The signal from the surface membrane of cells stably transfected
with rat Kv2.1 (Kv2.1-CHO) was, on average, 18× higher than re-
gions that did not contain cells, making the error generated by our
overestimation of the background ∼1%. As the error produced by
this background subtraction method was relatively small, it was
not corrected. For F/Finit normalization, Finit was the mean fluo-
rescence preceding the indicated voltage stimuli, or the max ob-
served intensity in concentration–effect experiments. Further
details of specific normalization and background subtraction
procedures are provided in the figure legends. Time dependence
of fluorescence intensity was fit with a monoexponential decay:
F (cid:2) F∞ + (F0 − F∞) e
−(t−t0
τ
)
,
(1)
where τ = 1/kΔF, t = time, t0 = time at start of fit, F = fluorescence
intensity, F0 = fluorescence at start of fit, and F∞ = fluorescence
after infinite time.
The Kv2.1–GxTX-594, fluorescence–voltage (FV) responses
were fit with a Boltzmann function:
f (V) (cid:2) offset + A
8
><
>:
−
1 + e
9
>=
>;
,
1
h(cid:2)
(cid:3)
i
V−V1
2
∗ zF
RT
(2)
where V = voltage, offset = the offset from zero of the Boltzmann
distribution, A = the amplitude, z = number of elementary
charges, F = Faraday’s constant, R = the universal gas constant,
and T = temperature (held at 295°K).
For colocalization analyses, the Pearson coefficient was calcu-
lated using the JACoP plugin (Bolte and Cordelières, 2006). Co-
localization analyses were conducted within ROIs defining
individual cells. A Pearson correlation coefficient value of 0 sig-
nifies uncorrelated pixels between two images, and a Pearson
correlation coefficient value of 1 signifies complete correlation
between pixels from two images. Correlation between pixels from
two fluorescent recordings of an image suggests spatial colocali-
zation of proteins. Plotting and curve fitting was performed with
Igor Pro 7 or 8 (WaveMetrics), which performs nonlinear least
squares fits using a Levenberg–Marquardt algorithm. Sample sizes
of n ≥ 3 were selected to confirm reproducibility. Sample sizes of
n ≥ 6 were selected to power nonparametric statistical compar-
isons to discern P < 0.01. The α for statistical significance in
nonparametric statistical comparisons was adjusted for multiple
comparisons using the Bonferroni method. The Bonferroni-
corrected P value = α
, where α = 0.01 and n represents the number
n
of comparisons made in an experiment. Error values from indi-
vidual curve fittings are SDs. All other errors, including error
bars, indicate SEs. Arithmetic means are reported for intensity
measurements and correlation coefficients. As the distributions
underlying variability in results are unknown, nonparametric
statistical comparisons were conducted with Mann–Whitney U
tests, and two-tailed P values were reported individually if P >
0.0001. Parametric statistical tests, which include the Student’s
t test, ANOVA, and Tukey’s post hoc test, were performed with
paired data and on sample sizes of n ≤ 6 due to the weak statistical
power of nonparametric tests when comparing small sample sizes.
EVAP model
In the EVAP model, at any given voltage, there is a probability that
a voltage sensor is either in its resting conformation (Presting) or in
its activated conformation (Pactivated) such that Pactivated = (1 – Presting).
The equilibrium for voltage sensor activation is then a ratio of ac-
tivated-to-resting voltage sensors (Pactivated/Presting) in which
Pactivated
Presting
Pactivated
Presting
unlabeled (cid:2) e
(V−V1/2,unlabeled
) zF
RT
labeled (cid:2) e
(V−V1/2,labeled
) zF
RT,
(3a)
(3b)
where V1/2 is the voltage where Pactivated/Presting = 1. In a prior
study, our analysis of the conductance–voltage relation of Kv2.1
yielded a V1/2 = −32 mV with z = 1.5 elementary charges (e0) for
the early movement of four independent voltage sensors, and we
found that with a saturating concentration of GxTX, the V1/2 =
+42 mV (Fig. 1 C; Tilley et al., 2019). These values were used for
V1/2,unlabeled, z, and V1/2,labeled, respectively (Table 1). To relate
voltage sensor activation to transient labeling and unlabeling,
we used microscopic binding (kon[EVAP]) and unbinding (koff)
rates that are distinct for resting and activated voltage sensors.
We estimated values for these rates assuming
and
kΔF (cid:2) kon[EVAP] + koff
Kd (cid:2) koff
kon
.
(4)
(5)
To calculate the kon,resting and koff,resting values reported in Table 1,
–
we used the saturating value at negative voltages of the kΔF
voltage relation (see Fig. 6 E), and Kd from concentration–effect
imaging (Fig. 2 D). In 9 nM GxTX-594, at greater than +40 mV,
voltage-dependent unlabeling was nearly complete, indicating
that koff,activated >> kon,activated[EVAP]. The model does not include
EVAP signal that is insensitive to voltage (Fig. 6 C). We input the
saturating amplitude of the Boltzmann fit to the kΔF at positive
voltages as koff,activated (Fig. 6 E). The slow labeling of activated
voltage sensors confounded attempts to measure kon,activated di-
rectly, and we used the statistical thermodynamic principle of
microscopic reversibility (Lewis, 1925) to constrain kon,activated:
Pactivated
Presting
Pactivated
Presting
, labeled
, unlabeled
(cid:2)
koff ,resting
kon,resting
koff ,activated
kon,activated
.
(6)
The EVAP model depicted in Scheme 2 has only a single microscopic
binding rate, kon,total[EVAP], and unbinding rate, koff,total. kon,total is a
weighted sum of both kon,resting and kon,activated from Scheme 1. The
weights for kon,total are the relative probabilities that unlabeled
voltage sensors are resting or activated, which is determined at any
static voltage by an equilibrium constant, Pactivated
Presting
unlabeled:
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kon,total (cid:2) kon,resting[EVAP] ·
1
1 + Pactivated
Presting
+
unlabeled
ratio of fluorescence at a test voltage to fluorescence at a prior
voltage (F/Finit) is equal to the probability that a Kv2 subunit is
reversibly labeled by GxTX-594 (Plabeled):
kon,active[EVAP] ·
1 +
1
1
.
Pactivated
Presting
unlabeled
(7)
F
Finit
(cid:2) Plabeled
Plabeled,init
.
(9)
The equilibrium Plabeled at any voltage can be determined from
microscopic binding rates associated with Scheme 2 where
Similarly, koff,total is determined by the unbinding rate from
resting voltage sensors (koff,resting) and the unbinding rate from
activated voltage sensors (koff,activated) and weighted such that
Plabeled (cid:2)
1
1 + Kd,total
[EVAP]
(cid:2)
1
1 + koff ,total
kon,total·[EVAP]
.
(10)
koff ,total (cid:2) koff ,resting ·
1
1 + Pactivated
Presting
labeled
+ koff ,active
·
1 +
.
1
1
Pactivated
Presting
labeled
Predictions of F / Finit and kΔF during trains of 2-ms voltage steps
from −80 mV to +40 mV were made from the EVAP model by
summing the products of time-averaged probability of being at
each voltage (PVn) and the fluorescence change predicted at that
voltage (ΔFVn) :
(8)
(cid:4)
F
Finit (cid:2) (PV1 · ΔFV1) + (PV2 · ΔFV2) + ... + (PVn · ΔFVn).
(11)
Using kon,total and koff,total, we compute kΔF using Eq. 4, as im-
plemented in Data S1.
(Scheme 1)
(Scheme 2)
The EVAP model was also used to predict the magnitude of
GxTX-594 fluorescence changes on cell surfaces. In theory, the
For voltage steps from −80 to +40 mV, Eq. 11 is:
(cid:4)
F
Finit (cid:2) (P40mV · ΔF40mV) + (P−80mV · ΔF−80mV).
We predicted EVAP kinetic responses as
kΔF (cid:2) (PV1 · kΔF,V1) + (PV2 · kΔF,V2) + ... + (PVn · kΔF,Vn),
(12)
where PVn is as in Eq. 11 and kΔF,n is kΔF at that particular voltage.
For voltage steps from −80 to +40 mV, Eq. 12 is:
kΔF (cid:2) (P40mV · kΔF40mV) + (P−80mV · kΔF−80mV).
Online supplemental material
Fig. S1 pertains to the synthesis of GxTX-594. It shows a model of
GxTX-594, and provides HPLC chromatograms and MALDI-TOF
mass spectrometry profiles of Ser13Cys GxTX and GxTX-594.
Fig. S2 shows GxTX-594 selectively labeling Kv2 proteins at the
cell surfaces. Fig. S3 shows that GxTX-594 labeling of surface
membranes requires Kv2 proteins. Fig. S4 demonstrates that
extracellular access can impact GxTX-594 labeling kinetics. Fig.
S5 demonstrates that variation in bath temperature does not
account for variability of GxTX-594 kinetics. Fig. S6 is an ex-
tended image gallery of GxTX-594 labeling CA1 hippocampal
pyramidal neurons transfected with Kv2.1 GFP. Video 1 is a
time-lapse image sequence of GxTX-594 fluorescence on a
voltage-clamped CA1 hippocampal pyramidal neuron while it
is depolarized from −70 to 0 mV. Data S1 is a spreadsheet that
sets up calculations to generate EVAP model predictions.
Results
GxTX-594 retains bioactivity for Kv2.1 after
chemoselective modification
To monitor activation of Kv2 proteins in tissue slices, we syn-
thesized an EVAP compatible with two-photon imaging. We
previously presented an EVAP that was a synthetic derivative of
GxTX conjugated to a DyLight 550 fluorophore (GxTX-550;
Tilley et al., 2014). DyLight 550 has poor two-photon excitation
properties, and for this study, it was replaced with Alexa Fluor
Thapa et al.
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Journal of General Physiology
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Figure 1. GxTX-594 modulates Kv2.1 conductance. (A) Representative Kv2.1-CHO current response under whole-cell voltage clamp. Cells were given 100-ms, 5-mV
increment voltage steps ranging from −80 mV (blue) to +120 mV (red) and then stepped to 0 mV to record tail currents. The holding potential was −100 mV. (B) Kv2.1
currents from the same cell 5 min after the addition of 100 nM GxTX-594. Scale bars are the same for A and B. (C) Normalized conductance–voltage relationships from
Kv2.1 tail currents before application of GxTX-594 (n = 13). Different symbols correspond to individual cells, and the green corresponds to cell in A. (D) Normalized
conductance—voltage relationships in 100 nM GxTX-594 (n = 11). (E) Mean midpoint of each of four independent voltage sensors in the fourth-power Boltzmann fit (V1/2)
before (−31 ± 6 mV SD) and after (+27 ± 10 mV SD) 100 nM GxTX-594. ***, P < 0.0001 by Mann–Whitney U test. (F) Mean e0 associated with Boltzmann fit (z) before (1.5
± 0.3 e0 SD) and after (1.0 ± 0.4 e0 SD) 100 nM GxTX-594. ***, P = 0.0007 by Mann–Whitney U test. (G) Mean midpoint of conductance change in the fourth-power
Boltzmann fit (Vmid) before (−2 ± 6 mV SD) and after (+73 ± 13 mV SD) 100 nM GxTX-594. ***, P < 0.0001 by Mann–Whitney U test.
594, a persulfonated Texas Red analogue with a large two-
photon excitation cross section and ample spectral separation
from GFP, making it well suited for multiplexed, two-photon
excitation imaging experiments (Zito et al., 2004). We refer to
this EVAP variant as GxTX-594.
We performed electrophysiological analyses to determine
whether GxTX-594 retains the ability to allosterically modulate
Kv2.1 (Fig. 1). GxTX is a partial inverse agonist of Kv2.1, which
lowers channel open probability by stabilizing voltage sensors in a
resting conformation. Consequently, more positive intracellular
voltage is required to activate voltage sensors and achieve the
same open probability as without GxTX (Tilley et al., 2019).
Previously, we estimated that a Kv2.1 voltage sensor with GxTX
bound is 5,400-fold more stable in its resting conformation and
requires more positive intracellular voltage to become activated
(Tilley et al., 2019). To characterize the efficacy of GxTX-594 in
allosterically modulating Kv2.1 gating, we voltage clamped Kv2.1-
CHO cells and measured K+ currents in GxTX-594. We analyzed
the Kv2.1 conductance–voltage (GV) relation by fitting with a
fourth power Boltzmann function. The voltage at which the con-
ductance of the fitted function is 50% of maximum, Vmid, was +73 ±
13 mV for 100 nM GxTX-594 (Fig. 1 G). For comparison, the Vmid of
100 nM GxTX was +67 ± 6 mV (Tilley et al., 2019). This shift of the
GV indicates that GxTX-594 retains an efficacy similar to GxTX.
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Journal of General Physiology
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Table 1. Parameters used for calculations to generate Scheme 1: EVAP
allosteric expansion
Parameter
kon,resting
koff,resting
kon,activated
koff,activated
V1/2,unlabeled
V1/2,labeled
z
Value
0.30 μM−1 s−1
0.0081 s−1
0.21 μM−1s−1
0.39 s−1
−32 mV
41 mV
1.5 e0
GxTX-594 labels Kv2 proteins
To determine the concentration range where GxTX-594 effec-
tively labels Kv2.1 protein, we performed a concentration–effect
experiment. As the Kd of our previously presented EVAP, GxTX-
550, was 30.0 ± 3.9 nM at a holding potential of −100 mV (Tilley
et al., 2014), we presumed that 1,000 nM would be a sufficient
upper bound for concentration–effect experiments with GxTX-
594 (Fig. 2, A and B). Cell surface fluorescence intensity was
analyzed immediately after washout of 1, 10, 100, and 1,000 nM
GxTX-594 to eliminate fluorescence from toxin in solution. This
fluorescence labeling concentration–effect relation was fit with
a Langmuir binding isotherm, resulting in a Kd of 26.9 ± 8.3 nM
(Fig. 2 C). Due to the incomplete equilibration of labeling at 1 and
10 nM, our measure is expected to overestimate the Kd. The near
saturation of the fluorescence concentration–effect relation with
100 nM GxTX-594, and the rate of fluorescence equilibration
(Fig. 2 D) suggested that incubation with 100 nM GxTX-594 for
5 min results in near-maximal labeling on the glass-adhered
surface of Kv2.1-CHO cells.
We assessed whether GxTX-594 fluorescence on CHO-K1
cells is due to the presence of Kv2 proteins. CHO-K1 cells were
transfected with either a rat Kv2.1-GFP or Kv2.2-GFP construct,
each of which yielded delayed rectifier K+ currents (Fig. S2 A).
2 d after transfection, Kv2.1-GFP or Kv2.2-GFP fluorescence
displayed distinct subcellular regions of high density at the
glass-adhered surface (Fig. 3 A), which we refer to as Kv2
clusters, a term used to refer to similar high-density regions in
neurons and other mammalian cell lines (Kirmiz et al., 2018b).
Correlation coefficients indicated a high degree of subcellular
colocalization of both Kv2 proteins with GxTX-594 (Fig. 3 B),
quantitating the observation that GxTX-594 is not evenly dis-
tributed throughout the membrane but is localized to Kv2
clusters. We did not detect a significant difference between the
ratios of GxTX-594 to Kv2.1-GFP or Kv2.2-GFP fluorescence
(Fig. 3 C; P = 0.74 by Mann–Whitney U test), consistent with the
lack of discrimination of GxTX between Kv2.1 and Kv2.2
(Herrington et al., 2006). GxTX accesses the membrane-
embedded voltage sensors of Kv2 proteins by partitioning into
the outer leaflet of the plasma membrane bilayer (Milescu et al.,
2009; Gupta et al., 2015), and a GxTX derivative labeled with a
fluorophore that brightens in less polar environments is de-
tectable in the membrane of CHO cells without Kv2 proteins
(Fletcher-Taylor et al., 2020). However, we failed to find any
GxTX-594 labeling of CHO cells in the absence of Kv2 proteins
(Fig. S3).
GxTX-594 selectively labels Kv2 proteins
An important consideration for determination of whether
GxTX-594 could reveal conformational changes of endogenous
Kv2 proteins is whether the EVAP is selective for Kv2 proteins.
Electrophysiological studies have concluded that the native
GxTX peptide is selective for Kv2 channels, with some off-target
Figure 2. Concentration–effect characteristics of GxTX-594 labeling. (A) Fluorescence from confluent Kv2.1-CHO cells incubated in indicated concen-
trations of GxTX-594 for 15 min then washed out before imaging. Imaging plane was near the glass-adhered cell surface. Fluorescence shown corresponds to
GxTX-594 (magenta). Scale bar, 20 μm. (B) Time-lapse fluorescence intensity from the concentration–effect experiment shown in A. Fluorescence was not
background subtracted. Fmax is intensity while cells were incubated in 1,000 nM GxTX-594. (C) Relative fluorescence intensity of GxTX-594 that remains on
cells immediately after washout of indicated concentrations of GxTX-594 from the extracellular solution. Symbols correspond to each of three experiments.
Black line is the fit of a Langmuir isotherm for Kd = 26.9 nM ± 8.3. (D) Labeling or unlabeling kinetics for GxTX-594 at indicated concentrations. Symbols
correspond to the same experiments as panel C. kΔF values obtained from monoexponential fits (Eq. 1). Error bars represent the SD of kΔF fitting. Black line is fit
of the kΔF
–concentration relation with Eq. 4, kon = 6.372 × 10−5 ± 0.049 × 10−5 nM−1 s−1; koff = 5.929 × 10−4 ± 0.043 × 10−4 s−1.
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Figure 3. GxTX-594 colocalizes with Kv2-GFP. (A) Fluorescence from CHO cells transfected with Kv2.1-GFP (top) or Kv2.2-GFP (bottom) and labeled with
GxTX-594. Optical sections were near the glass-adhered cell surface. Cells were incubated with 100 nM GxTX-594 for 5 min and rinsed before imaging.
Fluorescence shown corresponds to emission of GFP (left), GxTX-594 (middle), or as an overlay of GFP and GxTX-594 (right). Scale bars, 20 μm. (B) Pearson
correlation coefficients for GxTX-594 colocalization with Kv2.1-GFP or Kv2.2-GFP. (C) Ratio of fluorescence intensity of the same cells in B when excited at 594
nm versus 488 nm from cells expressing Kv2.1-GFP or Kv2.2-GFP. In B and C, pixel intensities were background subtracted before analyses by subtracting the
average fluorescence of a background ROI that did not contain cells from the ROI containing the cell. Circles represent measurements from individual cells, and
each transfection group contains data from two separate applications of GxTX-594. Bars represent the mean. No significant difference was detected between
Kv2.1-GFP or Kv2.2-GFP by Mann–Whitney U test (P = 0.74).
modulation of A-type Kv4 channels (Herrington et al., 2006; Liu
and Bean, 2014; Speca et al., 2014). However, electrophysiological
testing cannot determine whether ligands bind unless they also
alter currents (Sack et al., 2013). Furthermore, structural differ-
ences between wild-type GxTX and the GxTX-594 variant could
potentially alter selectivity among channel protein subtypes.
To test whether GxTX-594 binds other voltage-gated K+
channel subtypes, we quantified surface labeling and analyzed
colocalization of GxTX-594 with a selection of GFP-tagged
voltage-gated K+ channel subtypes (Fig. 4 A). The ratio of
GxTX-594 fluorescence to each GFP-tagged K+ channel subtype
was not distinguishable from zero for Kv4.2, Kv1.5, or BK
channels (Fig. 4 B), indicating minimal, if any, binding. Fur-
thermore, no colocalization was apparent between Kv4.2,
Kv1.5, or BK channels and the residual GxTX-594 fluorescence
(Fig. 4 C). An additional set of experiments conducted under
different microscopy conditions and without the auxiliary
subunits of Kv4.2 or Kv1.5 also gave no indication of GxTX-594
labeling (Fig. S2). While we cannot be certain that GxTX-594
does not bind any of the >80 known mammalian proteins
containing voltage sensor domains, the lack of labeling of the
related voltage-gated K+ channels indicates that GxTX-594 does
not promiscuously label voltage sensors.
The relationship between GxTX-594 cell-surface fluorescence
and Kv2.1 voltage activation
To understand the relationship between channel gating and
GxTX-594 fluorescence, we determined how fluorescence
intensity on cells expressing Kv2.1 responds to changes in
membrane voltage. We found that GxTX-594 equilibrated more
quickly on the sides of cells than on their glass-adhered surface,
presumably due to restricted access to the extracellular space by
the glass (Fig. S4). Due to this observation, we chose an imaging
plane where fluorescence from GxTX-594 resembled an annulus
(Fig. 6 A). This imaging plane varied between cells but was >1
μm above the glass. We developed a labeling protocol in which
Kv2.1-CHO cells were incubated for 5 min in a bath solution
(CEG) containing 100 nM GxTX-594, which was then diluted
with extracellular solution to 9 nM (Fig. 5). Once GxTX-594
fluorescence intensity stabilized at the cell membrane (at least
9 min; Fig. 5), cells were voltage clamped in whole-cell mode. We
measured the fluorescence response of GxTX-594 when the
membrane voltage of Kv2.1-CHO cells was stepped from a
holding potential of −80 mV to more positive voltages that
ranged from −40 mV to +80 mV (Fig. 6 A). ROIs corresponding
to the cell surface were manually identified and average fluo-
rescence intensity quantified from time-lapse sequences. The
voltage-dependent reduction in fluorescence equilibrates to a
value above background. Even when cells were given a +80-mV
depolarizing voltage stimulus, some GxTX-594 fluorescence re-
mained (Fig. 6 B). Most of the residual fluorescence appeared to
be localized to the cell surface membrane (Fig. 6 A) and varied
between cells (Fig. 6 C). As such surface labeling was not pre-
sent on CHO cells in the absence of Kv2 proteins (Fig. S3), we
consider this residual fluorescence to originate from voltage-
insensitive Kv2 proteins. Voltage-insensitive fluorescence
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Figure 4. GxTX-594 selectively labels Kv2
proteins. (A) Fluorescence from live CHO cells
transfected with Kv2.1-GFP, Kv2.2-GFP, Kv4.2-
GFP + KChIP2, Kv1.5-GFP + Kvβ2, or BK-GFP
(indicated by row) and labeled with GxTX-594.
Airy disk imaging was from a plane above the
glass-adhered surface. Cells were incubated with
100 nM GxTX-594 and 5 μg/ml WGA-405 then
rinsed before imaging. Fluorescence corresponds
to emission of GFP (column 1), GxTX-594 (col-
umn 2), WGA-405 (column 3), or an overlay
(column 4). Scale bars, 20 μm. (B) Intensity of
GxTX-594 labeling for different K+ channel-GFP
types. Fluorescence intensity resulting from
594-nm excitation of GxTX-594 is divided by
fluorescence intensity resulting from 488-nm
excitation of GFP. This value was normalized
to the average 594:488 ratio from GxTX-594
and Kv2.1-GFP. Circles indicate measurements
from individual cells. Only cells with obvious
GFP expression were analyzed. For analysis,
ROIs were drawn around the cell membrane
indicated by WGA-405 fluorescence. Pixel in-
tensities were background subtracted be-
fore analyses by subtracting the average
fluorescence of a background ROI that did not
contain cells from the ROI containing the cell;
this occasionally resulted in ROIs with negative
intensity. Kv2.1, n = 16; Kv2.2, n = 10; Kv4.2, n = 13;
Kv1.5, n = 13; and BK, n = 10; n indicates the
number of individual cells analyzed in a single dish
during a single application of GxTX-594 with the
indicated K+ channel-GFP type. Bars represent the
mean. Significant differences were observed be-
tween 594:488 ratio for Kv2.1 or Kv2.2 and
Kv1.5, Kv4.2, or BK by Mann–Whitney U test
(P < 0.0001). The P value to determine signifi-
cance is adjusted for multiple comparisons us-
ing the Bonferroni method, where P < 0.0033 is
considered significant, with the caveat that data
points under each condition are technical repli-
cates. (C) Pearson correlation coefficients between
GxTX-594 and GFP. Same cells as B. Significant
differences were observed between correlation
coefficients for Kv2.1 or Kv2.2 and Kv1.5, Kv4.2, or
BK by Mann-Whitney U test (P < 0.0001).
could potentially be from Kv2.1–GxTX-594 complexes with im-
mobilized voltage sensors or internalized Kv2.1–GxTX-594 com-
plexes that remain just under the cell surface (Deutsch et al., 2012;
Weigel et al., 2012; Fox et al., 2013a; Weigel et al., 2013).
To compare voltage response properties between cells, we
used a normalization procedure to analyze only the voltage-
sensitive fraction of the fluorescence from each cell, which we
defined as the fluorescence that changed between −80 mV and
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Figure 5. GxTX-594 fluorescence equilibration after dilution from 100 nM to 9 nM. (A) CHO cells transfected with Kv2.1-GFP (left) in 100 nM GxTX-594
(middle) and after dilution to 9 nM GxTX-594 (right). Regions darker than the background bath solution are CHO cells not transfected with Kv2.1-GFP (ar-
rowhead). Scale bar, 20 μm. (B) Fluorescence excited at 594 nm during dilution from 100 nM GxTX-594 to 9 nM GxTX-594. Timing of dilution is shown above
the graph. Fluorescence was normalized to the mean 594 fluorescence before dilution to 9 nM. Data are from the cell labeled with an arrow in A. 100 nM and 9
nM images in A are from 0 and 12 min, respectively. (C) Rate of GxTX-594 fluorescence decay after dilution. Error bars are SDs of kΔF fit. n = 5 cells.
+80 mV. The initial fluorescence at a holding potential of
−80 mV was normalized to 100% F/Finit, and residual fluores-
cence after a +80-mV step was normalized to 0% F/Finit
(Fig. 6 D). To characterize the voltage dependence of the
Kv2.1–GxTX-594 interaction, fluorescence–voltage (FV) responses
were fit with a Boltzmann distribution (Eq. 2). This fit had a half
maximal voltage midpoint (V1/2) of −27 mV and a steepness (z) of
1.4 e0 (Fig. 6 D, bottom panel, black line). This is similar to voltage
sensor movement in Kv2.1-CHO cells without any GxTX present:
V1/2 = −26 mV, z = 1.6 e0 (Tilley et al., 2019). These results suggest
that at 9 nM GxTX-594, the FV appears to be a good surrogate
for the gating current–voltage (QV) response of unlabeled Kv2
channels.
To determine the voltage dependence of the kinetics of
GxTX-594 labeling and unlabeling, we compared kΔF at varying
step potentials. We quantified kΔF by fitting the average fluo-
rescence from voltage-clamped cells with a monoexponential
function (Eq. 1). In response to voltage steps from a holding
potential of −80 mV to more positive potentials, kΔF increased
progressively as step potential was increased above −40 mV and
appeared to begin to saturate at higher voltages (Fig. 6 E). Upon
return to −80 mV, kΔF was similar to −40 mV. While the kΔF did
not clearly display saturation at positive voltages that would
justify fitting with a Boltzmann function, a model of GxTX-594
dynamics, which we develop later in this study, indicated that
Boltzmann fitting could yield physical insight (Fig. 6 E, bottom
panel, black line). We noted that the degree of variability in kΔF
measurements became greater at more positive potentials (Fig. 6
E, top and bottom panels). At −80 mV, there was a twofold range
in kΔF values and a ninefold range at +80 mV. The relatively low
variation in kΔF at −80 mV suggests that despite variance in fluo-
rescence intensity after rebinding (Fig. S4 C), kΔF from fits of the
upward relaxation at −80 mV are relatively consistent. The average
kΔF equilibration at 10 nM GxTX-594 in concentration–effect ex-
periments was comparable to Kv2.1-CHO cells incubated in 9 nM
GxTX-594 and voltage clamped at −80 mV (0.0011 s−1 and
0.0014 s−1, respectively; Fig. S4 E and Fig. 2 D). This suggests that
the Kv2 voltage sensors in the unclamped cells for concentration–
effect experiments are in the same early resting conformation as
voltage-clamped cells at −80 mV. Additionally, we determined that
only a small fraction of the up to ninefold variability in kΔF at
positive voltages could be attributed to temperature fluctuations
(Fig. S5). Possible reasons for cell-to-cell variability at more positive
voltages are discussed further in Limitations.
The relation between voltage sensor activation and GxTX-594
dynamics can be recapitulated by rate theory modeling
To enable translation of the intensity of fluorescence from
GxTX-594 on a cell surface into a measure of Kv2 conformational
change, we developed an EVAP model, a series of equations
derived from rate theory that relate cell labeling to voltage
sensor activation. The framework of the EVAP model is gener-
alizable to fluorescent molecular probes that report conforma-
tional changes by a change in binding affinity. In the EVAP
model, the proportion of labeled versus unlabeled Kv2 in a
membrane is determined by the proportion of voltage sensors in
resting versus activated conformations. The model assumes that
the innate voltage sensitivity of the Kv2 subunit is solely
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responsible for controlling voltage dependence. EVAP labeling is
voltage dependent because the binding and unbinding rates are
different for resting and activated conformations of voltage
sensors. Voltage activation of Kv2 channels involves many
conformational changes (Scholle et al., 2004; Jara-Oseguera
et al., 2011; Tilley et al., 2019). However, models that presume
independent activation of a voltage sensor in each of the four
Kv2.1 subunits accurately predict many aspects of voltage acti-
vation and voltage sensor toxin binding (Lee et al., 2003; Tilley
et al., 2019). For simplicity, we model Kv2 proteins as having
only resting and activated conformations that are independent
in each voltage sensor and developed a rate theory model con-
sisting of four interconnected states (Scheme 1).
When voltage sensors change from resting to activated con-
formations, the binding rate of the GxTX-594 EVAP decreases,
and the unbinding rate increases. When the membrane voltage
is held constant for sufficient time, the proportions of labeled
and unlabeled proteins reach an equilibrium. EVAP labeling
requires seconds to equilibrate (Fig. 6), whereas Kv2 channel
gating equilibrates in milliseconds (Tilley et al., 2019), three
orders of magnitude more quickly. These distinct time scales of
equilibration suggest an approximation to model the reversible
EVAP labeling response: voltage sensor conformations achieve
equilibrium quickly such that only their distribution at equi-
librium is expected to greatly impact the kinetics of labeling and
unlabeling, allowing Scheme 1 to collapse into Scheme 2, which
depicts the structure of the EVAP model used for calculations.
We constrained the EVAP model with measurements of
GxTX-594 binding kinetics and GxTX impacts on Kv2.1 gating
9 nM GxTX-594. Color progression for pseudocoloring of fluorescence in-
tensity is shown in vertical bar on right. Middle column in each row indicates
voltage step taken from a holding potential of −80 mV. Times listed at top of
each column correspond to time axis in panel B. Scale bar, 10 μm. (B) GxTX-
594 fluorescence during steps to indicated voltages. Smooth lines are mono-
exponential fits (Eq. 1): −40 mV kΔF = 2.15 × 10−2 ± 0.22 × 10−2 s−1; 0 mV kΔF =
1.279 × 10−1 ± 0.023 × 10−1 s−1; 40 mV kΔF = 2.492 × 10−1 ± 0.062 × 10−1 s−1;
and 80 mV kΔF = 4.20 × 10−1 ± 0.11 × 10−1 s−1. ROIs were hand-drawn around
the apparent cell surface membrane based on GxTX-594 fluorescence. 0%
was set by subtraction of background, which was the average intensity of a
region that did not contain cells over the time course of the voltage proto-
col. For each trace, 100% was set from the initial fluorescence intensity at
−80 mV before the subsequent voltage step. Raw initial fluorescence values
before normalization were within 10% of one another. (C) Fluorescence
intensity remaining at the end of 50-s steps to +80 mV. Each circle repre-
sents one cell. Background subtraction as in B. (D) Voltage dependence of
fluorescence intensity at the end of 50-s steps. For each cell, 100% was set
from the initial fluorescence intensity at −80 mV before the first step to
another voltage. Cells did not always recover to initial fluorescence intensity
during the −80-mV holding period between voltage steps. Top: Circle col-
oring indicates data from the same cell, and lines connect points from the
same cell. Gray circles represent data shown in B. Bottom: Black bars rep-
resent the mean F/Finit at each voltage, and error bars represent the SEM.
Black line is the fit of a first-order Boltzmann equation (Eq. 2): V1/2 = −27.4 ±
2.5 mV, z = 1.38 ± 0.13 e0. Green line is the prediction from the EVAP model
at 9 nM GxTX. (E) Voltage dependence of fluorescence intensity kinetics
(kΔF). Top: Circle coloring is the same as D. Bottom: Black bars represent the
average kΔF at each voltage, and error bars represent the SEM. Black line is a
first-order Boltzmann equation fit to the kΔF–voltage relation: V1/2 = +38 ± 15
mV, z = 1.43 ± 0.35 e0. Green line is the prediction from the EVAP model at
9 nM GxTX.
Figure 6. GxTX-594 labeling responds to transmembrane voltage.
(A) Fluorescence from an optical section of a voltage-clamped Kv2.1-CHO cell in
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(see EVAP model and Data S1). We tested the viability of model
predictions by comparison with GxTX-594 labeling measure-
ments. The EVAP model predicts that the FV for GxTX-594 la-
beling will conform to a Boltzmann distribution. The FV
prediction in 9 nM GxTX-594 had a V1/2 and z that differ by only
−4 mV and 0.06 e0, respectively, from the Boltzmann fit of ex-
perimental data (Fig. 6 D, bottom panel, black and green lines).
The EVAP model also predicts that the kΔF-V will conform to a
Boltzmann distribution. The kΔF-V prediction differs by only
3 mV and 0.05 e0 from the Boltzmann fit of experimental data
(Fig. 6 E, bottom panel, blue line). However, this fit was poorly
constrained as we failed to obtain sufficient data at voltages
above +80 mV where kΔF-V is predicted to saturate. In our at-
tempts, the durations required at more positive voltages irre-
versibly increased membrane leak. The V1/2 and z values from
the GxTX-594 FV and kΔF-V were not used as constraints of the
EVAP model, and the similarity between the predictions and
empirical findings seemed remarkable enough to warrant fur-
ther exploration of the EVAP model predictions.
We used the EVAP model to investigate general principles of
the relation between voltage sensor activation and reversible
labeling. The EVAP model predicts that as GxTX-594 concen-
tration decreases, the change in labeling (ΔF/ΔFmax) approaches
the probability that unlabeled voltage sensors are resting (Fig. 7
A). This prediction explains the similarity between the FV in 9
nM GxTX-594 (V1/2 = −27 ± 3 mV, z = 1.4 ± 0.1 e0; Fig. 6 D) and the
QV of Kv2.1 (V1/2 = −26 ± 1 mV, z = 1.6 ± 0.1 e0; Tilley et al., 2019).
As the concentration of EVAP is increased, the FV shifts to more
positive voltages such that the fractional change in fluorescence
intensity is always less than the fraction of unlabeled voltage
sensors that are active. As EVAP concentration increases and
approaches the activated state Kd (1,790 nM), voltage sensor
activation becomes less effective at dissociating the EVAP due to
binding to activated voltage sensors (Fig. 7 B). The model pre-
dicts that at any concentration, this simple interpretation will be
valid: A decrease in EVAP surface fluorescence indicates acti-
vation of unlabeled voltage sensors.
The EVAP model also yields a simple interpretation of la-
beling kinetics, it predicts that as GxTX-594 concentration de-
creases, the rate of fluorescence change kΔF approaches the
probability that labeled channels are active (Fig. 7 C). This pre-
diction explains the similarity between the kΔF-V in 9 nM GxTX-
594 (V1/2 = 38 ± 15 mV, z = 1.4 ± 0.4 e0; Fig. 6 D) and the QV of
Kv2.1 in saturating GxTX (V1/2 = 47 ± 1 mV, z = 1.6 ± 0.1 e0; Tilley
et al., 2019). At low concentrations, the dependence of kΔF on the
conformation of channels bound to GxTX-594 is due to the rate
of unbinding dominating kΔF, with the rate of unbinding being
solely determined by the conformation of channels bound to
GxTX-594.
Repetitive action potential–like stimuli amplify the
GxTX-594 response
Kv2 currents impact repetitive action potential firing (Du et al.,
2000; Liu and Bean, 2014), making repetitive action potentials
the voltage waveforms that are, arguably, most relevant to Kv2
function. However, action potentials occur on the millisecond
time scale, orders of magnitude faster than the GxTX-594
response, which integrates Kv2 conformations occurring over
many seconds. Kv2 channels have slow deactivation kinetics
(Liu and Bean, 2014; Tilley et al., 2019), and high-frequency
firing could prevent Kv2 proteins from fully deactivating be-
fore a next action potential is triggered, creating a kinetic trap
that progressively accumulates activated voltage sensors. This
behavior of Kv2 proteins indicates that high-frequency firing
could evoke a more robust fluorescence signal than the EVAP
model predicts, as the model assumes continuous equilibrium
of voltage sensors and cannot kinetically trap activated con-
formations. To test this hypothesis, we crudely mimicked action
potentials with trains of 2-ms voltage steps from −80 to +40 mV
and observed the changes in fluorescence on GxTX-594–labeled
Kv2.1-CHO cells (Fig. 8, A and B). To assess frequency response,
step frequency was varied from 0.02 to 200 Hz. GxTX-594 un-
labeling and kΔF increased with stimulus frequency (Fig. 8, C and
D). We compared these fluorescence responses to those pre-
dicted by the EVAP model.
When the stimulus frequency was <50 Hz, the EVAP model
did a reasonable job of predicting fluorescence change. At and
>50 Hz, fluorescence decreased by more than the EVAP model
predicted, even without accounting for a voltage-insensitive
fraction of Kv2.1 proteins (Fig. 8 C, bottom panel, green line).
As discussed above, this divergence from the equilibrium-based
EVAP model is expected at frequencies where voltage steps are
shorter than Kv2 equilibration times. The time constant of ac-
tivating gating current decay from Kv2.1-CHO cells was 1.3 ms at
+40 mV (Tilley et al., 2019), which means that the majority of
voltage sensors are effectively activated during the 2-ms +40 mV
steps. In contrast, the time constant of deactivating gating cur-
rent decay from Kv2.1-CHO cells was 22 ms at −80 mV (Tilley
et al., 2019), which means that Kv2.1 is expected to become ki-
netically trapped in activated conformations when stimuli to
+40 mV from −80 mV are ∼50 Hz or faster. Thus, the amplified
EVAP response appears consistent with voltage sensors failing to
deactivate before the next stimulus, leading to an accumulation
of activated voltage sensors and a more dramatic fluorescence
response than predicted by the EVAP model. Overall, these dy-
namics indicate that the magnitude of the change in GxTX-594
fluorescence intensity will be amplified during repetitive action
potentials, a regimen of electrophysiological signaling where
Kv2 currents are critical.
In contrast, the kinetics of the GxTX-594 response did not
appear to deviate from EVAP model predictions at high fre-
quencies (Fig. 8 D). As kΔF responds to the dynamics of Kv2
proteins bound by GxTX-594, it could be that the faster deacti-
vation rate of voltage sensors bound by GxTX (Tilley et al., 2019)
prevents the bound channels from being kinetically trapped.
GxTX-594 labels brain slices transfected with Kv2.1-GFP
To determine whether expression of Kv2 proteins embedded in
tissue can be imaged with GxTX-594, we overexpressed Kv2.1-
GFP in rat brain slices and examined CA1 pyramidal neurons of
the hippocampus. We chose CA1 neurons for several reasons:
They express Kv2 channels at a density typical of central neurons,
the physiology of these neurons has been intensively studied,
and their electrical properties are relatively homogeneous
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Figure 7. Relationship of GxTX-594 labeling
to probability of Kv2 voltage sensor activa-
tion. (A) EVAP model predictions of concentra-
tion and voltage dependence of cell surface
fluorescence intensity at different concentrations
of EVAP in solution. The bottom axis represents
membrane voltage. The left axis represents the
predicted fluorescence relative to when all voltage
sensors are at rest (Finit) and does not include
EVAP signal that is insensitive to voltage. The
dashed line corresponds to the right axis and
represents the probability that voltage sensors
of unlabeled Kv2.1 are in their resting confor-
mation. (B) EVAP model prediction of the cell
surface fluorescence when cells are given a +40-
mV depolarization relative to when all voltage
sensors are at rest (Finit) at increasing concen-
trations of EVAP. The orange dashed line repre-
sents Kd of resting voltage sensors. The blue
dashed line represents Kd of activated voltage
sensors. (C) EVAP model predictions of con-
centration and voltage dependence of kΔF. Col-
ors correspond to A, except the dashed line is
the probability that voltage sensors bound by
GxTX-594 are an activated conformation.
(Misonou et al., 2005). Organotypic hippocampal slice cultures
prepared from postnatal day 5–7 rats were sparsely transfected
with Kv2.1-GFP, resulting in a subset of neurons displaying
green fluorescence. When imaged 2–4 d after transfection, GFP
fluorescence was observed in the plasma membrane sur-
rounding neuronal cell bodies and proximal dendrites (Fig. S6,
A and B). Six days or more after transfection, Kv2.1-GFP fluo-
rescence organized into clusters on the surface of the cell soma
and proximal processes (Fig. 9 A and Fig. S6 C), a pattern
consistent with a prior report of endogenous Kv2.1 in CA1
neurons (Misonou et al., 2005). After identifying a neuron
expressing Kv2.1-GFP, solution flow into the imaging chamber
was stopped, and GxTX-594 was added to the static bath solu-
tion to a final concentration of 100 nM. After 5 min of incu-
bation, solution flow was restarted, leading to washout of
excess GxTX-594 from the imaging chamber. After washout,
GxTX-594 fluorescence remained colocalized with Kv2.1-GFP
(Fig. 9 and Fig. S6), indicating that GxTX-594 is able to per-
meate through dense neural tissue and bind to Kv2 proteins on
neuronal surfaces. Pearson correlation coefficients confirmed
the colocalization of GxTX-594 with Kv2.1-GFP in multiple
slices (Fig. 9 C). In most images of Kv2.1-GFP–expressing neu-
rons, GxTX-594 also labeled puncta on neighboring neurons
that did not express Kv2.1-GFP but at intensities that were
roughly an order of magnitude dimmer (Fig. 9 B, white arrow).
The clustered GxTX-594 fluorescence patterns on the cell body
and proximal processes of CA1 neurons were strikingly similar
to reported patterns of anti-Kv2 immunofluorescence patterns
and are consistent with GxTX-594 labeling of endogenous Kv2
proteins in CA1 neurons. While we cannot exclude the possibility
that CA1 neurons have a subset of Kv2 proteins on their surface
that is not labeled by GxTX-594, we saw no indication of Kv2.1-
GFP on neuronal surfaces that are not labeled by GxTX-594.
While we observed GxTX-594 fluorescence that morpholog-
ically resembles endogenous Kv2 protein localizations, we also
found that GxTX-594 occasionally labels structures not consistent
with Kv2 proteins (Fig. S6, bottom panel, arrows). This non-Kv2
labeling was most prevalent at the surface of the hippocampal
slices and progressively decreased as the imaging plane was
moved deeper into the tissue (data not shown). Our interpretation
of this phenomenon is that GxTX-594 can accumulate in the dead
tissue and debris that is present at the surface of a hippocampal
section after it is cut. For this reason, we analyzed only GxTX-594
fluorescence with subcellular localizations consistent with Kv2
channels.
GxTX-594 labeling in brain slices responds to
neuronal depolarization
To test whether reversible GxTX-594 labeling of neurons in
brain slices is consistent with binding to endogenous Kv2 volt-
age sensors, we determined whether GxTX-594 labeling re-
sponds to voltage changes in tissue. First, we looked for Kv2-like
patterns on CA1 pyramidal neurons in untransfected brain slices
bathed in 100 nM GxTX-594. With two-photon excitation,
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Figure 8. High-frequency repetitive stimuli amplify the GxTX-
594 response. (A) Fluorescence intensity from Kv2.1-CHO cells
incubated in 9 nM GxTX-594. Arrow indicates voltage-clamped cell.
Fluorescence at holding potential of −80 mV (left), after 50 s of
200-Hz stimulus (middle), and 100 s after the cell is returned to
holding potential of −80 mV (right). Stimulus was a 2-ms step to
+40 mV. Note that in each panel, the unclamped cell (left cell in
each panel) does not show a change in fluorescence. Scale bar, 10
μm. (B) Representative trace with GxTX-594 unlabeling at 200 Hz.
Red line, monoexponential fit (Eq. 1): kΔF = 0.2327 ± 0.0099 × 10−1
s−1. 0% F/Finit was set by subtraction of the average intensity of a
region that did not contain cells. 100% was set by the initial fluo-
rescence intensity at −80 mV. (C) Fluorescence–stimulus frequency
relation. Points indicate F/Finit from individual cells. Top: Point
coloring indicates data from the same cell. Bottom: Black bars
represent the average F/Finit at each voltage, and error bars rep-
resent the SEM. Green line is the prediction of the EVAP model at a
concentration of 9 nM. (D) kΔF–stimulus frequency relation. Plotted
as in C.
optical sections are thinner than the neuronal cell bodies, and
GxTX-594 fluorescence appeared as puncta circumscribed by
dark intracellular spaces (Fig. 10 A). This was similar to the
patterns of fluorescence in Kv2.1-GFP–transfected slices (Fig. 9
B) and consistent with the punctate expression pattern of Kv2.1
in CA1 pyramidal neurons seen in fixed brain slices (Misonou
et al., 2005).
We tested whether the punctate fluorescence was voltage
sensitive using voltage clamp. To ensure voltage clamp of the
neuronal cell body, slices were bathed in tetrodotoxin to block
Na+ channels, and Cs+ was included in the patch pipette solution
to block K+ currents. In each experiment, whole-cell configu-
ration was achieved with a GxTX-594–labeled neuron, and
holding potential was set to −70 mV. At this point, time-lapse
imaging of a two-photon excitation optical section was initiated.
Depolarization to 0 mV resulted in loss of fluorescence from a
subset of puncta at the perimeter of the voltage-clamped neuron
(Fig. 10 B, red arrows; and Video 1). Other fluorescent puncta
appeared unaltered by the 0-mV step (Fig. 10 B, white arrows).
These puncta could represent Kv2 proteins on a neighboring
cell, off-target labeling by GxTX-594, or voltage-insensitive Kv2
proteins, possibly due to near-surface internalization. To assess
whether the fluorescence changes were due to the voltage
change, we compared fluorescence of the apparent cell mem-
brane region with regions more distal from the voltage-clamped
cell body. An ROI 30-pixels (1.2-μm) wide containing the ap-
parent membrane of the cell body was compared with other
regions within each image (Fig. 10 C). The region containing the
membrane of the cell body lost fluorescence during the 0-mV
step (Fig. 10 D, ROI 1), while neither of the regions more distal
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Figure 9. GxTX-594 labels CA1 hippocampal pyramidal neurons transfected with Kv2.1-GFP. (A) Two-photon excitation images of fluorescence from the
soma and proximal dendrites of a rat CA1 hippocampal pyramidal neuron in a brain slice 6 d after transfection with Kv2.1-GFP (left), labeled with 100 nM GxTX-
594 (middle), and the overlay (right). Image represents a Z-projection of 20 optical sections. Scale bar, 10 μm. (B) A single optical section of the two-photon
excitation image shown in A. GxTX-594 labels both Kv2.1-GFP puncta from a transfected cell and apparent endogenous Kv2 proteins from an untransfected cell
in the same cultured slice (right, arrow). Scale bar, 10 μm. (C) Pearson correlation coefficients from CA1 hippocampal neurons 2, 4, and 6 d after transfection
with Kv2.1-GFP. Each circle represents a different neuron. Bars are arithmetic means.
(ROI 2, ROI 3) or the intracellular region (ROI 0) showed a
similar change. In three hippocampal slices from separate rats,
we found a significant decrease in fluorescence in ROI 1 com-
pared with ROI 2 and ROI 3 when neurons were given a voltage
step to 0 mV (Fig. 10 E; ANOVA P < 0.001; Tukey’s post hoc test
P < 0.001). The kinetics of fluorescence response of the voltage-
clamped membrane region were similar between slices (Fig. 10,
F and K).
To determine whether the fluorescence response to depo-
larization was driven by the Kv2-like puncta on the cell mem-
brane, the fluorescence along a path containing the apparent cell
membrane was selected by drawing a path connecting fluores-
cent puncta surrounding the dark cell body region and averaging
fluorescence in a region 10-pixels (0.4-μm) wide centered on
this path (Fig. 10 G, yellow line). The fluorescence intensity
along the path of the ROI revealed distinct peaks corresponding
to puncta (Fig. 10 H, red trace). After stepping the neuron to 0
mV, the intensity of fluorescence of a subset of puncta lessened
(Fig. 10 H, black trace, peaks 1, 3, 4, 5, and 8). While the data are
noisy, it is clear that even more reduction is observed in indi-
vidual fluorescence puncta in brain slice (Fig. 10 I, blue line).
This suggests that the voltage sensors in these functionally se-
lected puncta are extensively activated. The EVAP model pre-
dicts only a 55% reduction of fluorescence from CHO cells
stepped to 0 mV in 100 nM GxTX. The greater response of the
endogenous puncta could be due to voltage sensors activating at
more negative voltages in neurons than CHO cells. However, the
GxTX-594 concentration within tissue may be more dilute than
in the bath solution, and consequently, the sensitive fraction
calculated from the EVAP model is a lower bound. Other puncta
maintained or increased their brightness after depolarization
(Fig. 10 H, black trace, peaks 2, 6, and 7), but it was unclear
whether these voltage-insensitive puncta correspond to Kv2
proteins on the surface of the same voltage-clamped neuron.
When the kinetics of fluorescence intensity decay of individual
voltage-sensitive puncta were fit with Eq. 1, kΔF values were
similar between puncta (Fig. 10 I), consistent with these spa-
tially separated puncta all being on the surface of the voltage-
clamped neuron. The kΔF changes measured in these puncta
were similar to those predicted by the Fig. 7 model (Fig. 10 I, blue
line), although the variability of these measurements was sub-
stantial. To address whether the fluorescence change at the cell
membrane was driven by decreases in regions of punctate fluo-
rescence, the punctate and nonpunctate fluorescence intensity
changes were analyzed separately. The regions with fluores-
cence intensities above average for the path (Fig. 10 H, dotted
line) were binned as one group. The above-average group, by
definition, contained all punctate fluorescence. When compar-
ing the fluorescence before and during the 0-mV step, the re-
gions that were initially of below-average fluorescence
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Figure 10. GxTX-594 puncta on hippocampal CA1 neurons are sensitive to voltage stimulus. (A) Two-photon excitation optical section from CA1 py-
ramidal neurons in a cultured hippocampal slice after incubation with 100 nM GxTX-594. Scale bar, 5 μm. (B) 594 fluorescence from a single two-photon
excitation optical section before and during depolarization of a whole-cell patch-clamped neuron. Text labels of holding potential (−70 mV or 0 mV) indicate
approximate position of the patch-clamp pipette. Red arrows indicate stimulus-sensitive puncta; white arrows indicate stimulus-insensitive puncta. Left panel
is the average fluorescence of the three frames at −70 mV before depolarization, while the right panel is the average fluorescence of three frames after holding
potential was stepped to 0 mV. Scale bar, 5 μm. Video 1 contains time-lapse images from this experiment. (C) ROIs used in analysis for D–F. Same slice as B.
ROI 1 contains the apparent plasma membrane of the cell body of the patch-clamped neuron; it was generated by drawing a path tracing the apparent plasma
membrane and then expanding to an ROI containing 15 pixels on either side of the path (1.2 μm total width). ROI 2 contains the area 15–45 pixels outside the
membrane path (1.2 μm total width). RO1 3 contains the area >45 pixels outside the membrane path. ROI 0 contains the area >15 pixels inside the membrane
path. Scale bar, 5 μm. (D) Fluorescence from each ROI shown in C. Squares represent ROI 0, circles represent ROI 1, up triangles represent ROI 2, and down
triangles represent ROI 3. Background was defined as the mean fluorescence of ROI 0 during the experiment. Finit was defined as the mean fluorescence of ROI
1 during the first six frames, after subtraction of background. Dotted lines represent the average fluorescence of the first six frames of each ROI. The voltage
protocol is shown above the graph. (E) Change in fluorescence during a 0-mV step for different ROIs in three hippocampal slices from three separate rats. ROIs
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for each slice were defined by methods described in C. Circles represent mean fluorescence from six frames during 0-mV stimulus (F), normalized to mean
fluorescence from the same ROI in six frames before stimulus (Finit). Circle color is consistent between ROIs for each hippocampal slice; red circles are from the
slice shown in D. Black bars are arithmetic mean ± SE from three hippocampal slices. A statistical difference between ROIs was detected by ANOVA (P =
0.0003) followed by the Tukey’s post hoc test, where ROI 1 versus ROI 2 (***, P < 0.001), ROI 1 versus ROI 3 (***, P < 0.001), and ROI 2 versus ROI 3 (n.s., P =
0.98). (F) Kinetics of fluorescence change from ROI 1 during a 0-mV step in three hippocampal slices. ROI 1 for each slice was defined by the methods described
in C. Lines are monoexponential fits (Eq. 1): kΔF = 6.8 × 10−2 ± 2.6 × 10−2 s−1 (yellow), 6.8 × 10−2 ± 4.6 × 10−2 s−1 (red), and 4.9 × 10−2 ± 2.10−2 s−1 (green). The
voltage protocol is shown above the graph. Colors of individual circles indicate the same slices as E. (G) ROI used in analysis for H–J. Same image as C.
The shaded ROI was generated by drawing a path tracing the apparent plasma membrane and then expanding to an ROI containing 5 pixels on either side of the
path (0.4 μm total width). Numbers indicate puncta that appear as peaks in H. Scale bar, 5 μm. (H) A plot of the fluorescence intensity along the ROI shown in G
before (red trace) and during (black trace) 0-mV stimulus. Numbers above peaks correspond to puncta labeled in G. Red trace: Mean fluorescence intensity
during the three frames immediately before the stimulus, normalized to mean intensity of entire ROI (black dotted line), plotted against distance along path.
Black trace: Mean fluorescence intensity during three frames at 0 mV, normalized by the same Finit value as the red trace. (I) Kinetics of fluorescence change of
individual puncta from G. Puncta intensity are average intensity of points extending to half maximum of each peak in H. Asterisks indicate mean fluorescence
intensity of puncta 1 (pink), 4 (red), and 5 (dark red). Lines are monoexponential fits (Eq. 1): kΔF = 7.10−2 ± 2.9 × 10−2 s−1 (pink), 6.7 × 10−2 ± 2.5 × 10−2 s−1 (red),
and 1.2 × 10−1 ± 5.6 × 10−2 s−1 (dark red). Fits to other puncta had SDs larger than kΔF values and were excluded. Finit was defined as the mean background-
subtracted fluorescence of the puncta during the six frames before stimuli. The voltage protocol is displayed above the graph. Blue line is prediction from
Scheme 1. (J) Comparison of fluorescence change of puncta (above average) and interpuncta (below average) regions in response to 0-mV stimulus. The regions
before stimulus shown by the red line of H that had F/Finit ≥1 (above average) were binned separately from regions with F/Finit <1. The mean fluorescence of
each region during 0-mV stimulus (H, black trace) was compared with the fluorescence before stimulus (H, red trace). Circles indicate values from three
independent hippocampal slices; colors indicate same slices as E and F. A weak statistical difference in fluorescence was detected between interpuncta and
puncta regions by Student’s t test (*, P = 0.046). Black bars are arithmetic mean ± SE. (K) Rate of fluorescence change of GxTX-594 after a 0-mV stimulus from
puncta (as in I), ROI 1 (as in F), or Kv2.1-CHO cells in 100 nM GxTX-594. Kv2.1-CHO cells were imaged at the same temperature as neurons (30°C) using
neuronal intracellular solution. CHO CE solution was used for Kv2.1-CHO cell experiments. Kv2.1-CHO measurements were made by Airy disk confocal imaging.
Black bars are mean ± SEM from data shown. Blue dotted line is kΔF = 6.31 × 10−2 s−1 prediction of Scheme 1. No statistical difference was detected between
groups by ANOVA (P = 0.11).
maintained the same intensity (103 ± 8%); regions that were
initially of above-average fluorescence decreased in intensity
(70 ± 8%; Fig. 10 J). This suggests that the detectable unlabeling
along the cell membrane originated in the Kv2-like puncta, not
the regions of lower fluorescence intensity between them.
To determine whether the dynamics of the voltage-dependent
responses of GxTX-594 fluorescence on neurons in brain slices
were consistent with reversible labeling of Kv2.1, we performed
experiments with Kv2.1-expressing CHO cells under similar
conditions as brain slice: 100 nM GxTX-594, 30°C, Cs+-containing
patch pipette solution. The rate of fluorescence changes in Kv2.1-
CHO cells was similar to neurons in brain slices and consistent
with the kΔF of 0.06 s−1 predicted by the Fig. 7 model (Fig. 10 K).
However, the data underlying of kΔF measurements were noisy,
limiting our ability to detect differences.
Discussion
The molecular targeting, conformation selectivity, and spatial
precision of fluorescence from GxTX-594 enable identification
of where in tissue the conformational status of Kv2 voltage
sensors becomes altered. However, the utility of GxTX-594 as an
EVAP is limited by several factors, including emission intensity,
variability between experiments, and inhibition of Kv2 proteins.
We discuss the potential utility and limitations of the EVAP
mechanism underlying GxTX-594.
Unique capabilities of GxTX-594
The Kv2 EVAP presented here is the only imaging method we
are aware of for measuring voltage-sensitive conformational
changes of a specific, endogenous protein. As GxTX binding
selectively stabilizes the fully resting conformation of Kv2.1
voltage sensors (Tilley et al., 2019), reversible GxTX-594 labeling
is expected to bind with highest affinity specifically to the fully
resting conformation of the Kv2 voltage sensor in which the first
gating charge of the Kv2 S4 segment is in the gating charge
transfer center (Tao et al., 2010). Images of GxTX-594 fluores-
cence reveal this conformation’s occurrence with subcellular
spatial resolution. Importantly, the EVAP model we developed
allows deconvolution of the behavior of unlabeled Kv2 proteins.
This enables the subcellular locations where Kv2 voltage sensing
occurs to be seen for the first time.
Electrophysiological approaches can detect
the voltage-
sensitive K+ conductance of Kv2 channels. However, the ma-
jority of Kv2 proteins on cell surface membranes do not function
as channels and are nonconducting (Benndorf et al., 1994; Malin
and Nerbonne, 2002; O’Connell et al., 2010), and Kv2 proteins
dynamically regulate cellular physiology by nonconducting
functions (Antonucci et al., 2001; Singer-Lahat et al., 2007;
Feinshreiber et al., 2010; Dai et al., 2012; Fox et al., 2015; Johnson
et al., 2018; Kirmiz et al., 2018a, 2018b, 2019; Vierra et al., 2019).
The Kv2 EVAP reports on the conformation of Kv2 voltage
sensors independently from ion conductance, enabling the study
of voltage sensor involvement in Kv2’s nonconducting physio-
logical functions. We present this EVAP as a prototype molecular
probe for imaging voltage sensing by endogenous proteins in
tissue with molecular specificity.
Here, during our initial testing of GxTX-594, we observed
that the majority of Kv2 protein detected at discrete individual
clusters was voltage sensitive. While it may not be surprising to
find that voltage-gated ion channel proteins are voltage sensi-
tive, the voltage sensors of surface-expressed proteins can be
immobilized. For example, gating charge of the L-type Ca2+
channel Cav1.2 is immobilized until it is bound by an intracel-
lular protein (Turner et al., 2020). Kv2.1 channel function is
extensively regulated by neurons. In rat CA1 neurons, the
clustered Kv2 channels are proposed to be nonconducting (Fox
et al., 2013b). Our results show that clustered Kv2 proteins in rat
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CA1 neurons remain voltage sensitive. Interestingly, when Kv2.1
is expressed in CHO cells, a fraction of the GxTX-594 fluorescence
is voltage insensitive (Fig. 6 C). This observation is consistent with
voltage sensor immobilization of some surface-expressed Kv2.1
protein, although it could be due to intracellular Kv2.1–GxTX-594
proteins that appear to be at the cell surface.
We used images of GxTX-594 fluorescence to measure the
coupling between endogenous Kv2 proteins and membrane
potential at specific, subcellular anatomical locations. Similarly,
GxTX-594 imaging should detect changes of voltage sensor
status when Kv2 proteins become engaged or disengaged
from nonconducting functions, such as formation of plasma
membrane–endoplasmic reticulum junctions (Antonucci et al.,
2001; Fox et al., 2015; Kirmiz et al., 2018a), regulation of exo-
cytosis (Singer-Lahat et al., 2007; Feinshreiber et al., 2010),
regulation of insulin secretion (Dai et al., 2012), interaction
with kinases, phosphatases, and SUMOylases (Misonou et al.,
2004; Park et al., 2006; Dai et al., 2009; Cerda and Trimmer,
2011; McCord and Aizenman, 2013), formation of specialized
subcellular calcium signaling domains (Vierra et al., 2019), and
interactions with astrocytic end feet (Du et al., 1998). GxTX-594
could potentially reveal conformational changes in organs
throughout the body where Kv2 proteins are expressed, which
include muscle, thymus, spleen, kidney, adrenal gland, pan-
creas, lung, and reproductive organs (Bocksteins, 2016).
Limitations of GxTX-594
There are important limitations to the GxTX-594 approach and
of the underlying EVAP mechanism generally. We discuss sev-
eral limitations that are worth considering in the design of any
studies with GxTX-594.
GxTX-594 labeling is slower than channel gating
The kinetics of reversible GxTX-594 labeling are limited to
measuring changes in Kv2 activity on a time scale of tens of
seconds. While the temporal resolution of GxTX-594 is com-
patible with live imaging and electrophysiology experiments,
labeling kinetics do not provide sufficient time resolution to
distinguish fast electrical signaling events. The response time of
GxTX-594 is far slower than the kinetics of Kv2 conformational
change, limiting measurements to the probability, averaged over
time, that voltage sensors are resting or active. It is worth noting
that the probability of a conformation’s occurrence can be a
valuable measure and is the ultimate quantitation of many
biophysical studies of ion channels (e.g., open probability,
steady-state conductance, and gating charge–voltage relation).
GxTX-594 dynamics are altered in confined extracellular spaces
The kinetics of GxTX-594 dynamics varied within different re-
gions of the same CHO cell (Fig. S4). The location dependence of
kΔF was more pronounced during GxTX-594 labeling at −80 mV
than unlabeling at +40 mV, and such a difference can be ex-
plained by the distinct voltage-dependent affinities of Kv2.1 for
GxTX-594. We suspect that the more extreme location depen-
dence at −80 mV is due to a high density of Kv2.1 binding sites
in the restricted extracellular space between the cell mem-
brane and glass coverslip, such that GxTX-594 is depleted
from solution by binding Kv2.1 before reaching the center of
the cell. After unbinding at +40 mV, Kv2.1 proteins are in ac-
tivated, low-affinity conformations, which are unlikely to re-
bind GxTX-594 and, thus, do not slow their diffusion across the
cell surface. The space extracellular to Kv2.1 channel clusters of
hippocampal and cortical interneurons is restricted by as-
trocytic end feet, which create an extracellular cleft only a few
nanometers wide (Du et al., 1998). Such restricted spaces may
slow the kinetics of labeling in the hippocampal slices (Fig. 10).
GxTX-594 dynamics are variable between CHO cells
The variability of GxTX-594 response rates and amplitudes be-
tween CHO cells limited the precision of results. Some of this
variability is expected from technical imprecisions: Fits of kΔF
where the final value of the relaxation was poorly determined by
the data, small changes due to variations of room temperature,
photobleaching, and other potential sources. However, we no-
ticed that results were more consistent between stimuli of the
same cell, and the variability was greatest between cells (Fig. 6, D
and E; and Fig. 8, C and D). We suspect that cell-to-cell differ-
ences in Kv2.1 conformational equilibria are responsible for
much of the variability in GxTX-594 response. The Kv2.1
conductance–voltage relation is regulated by many cellular
pathways, including kinases, phosphatases, and SUMOylases
(Misonou et al., 2004; Park et al., 2006; Dai et al., 2009; Cerda
and Trimmer, 2011; McCord and Aizenman, 2013). Large cell-to-
cell variation in Kv2.1 conductance–voltage and gating charge–
voltage relations have been reported in CHO cells by our group
and others (McCrossan et al., 2009; Tilley et al., 2014; Kang et al.,
2019; Tilley et al., 2019). In this study, when we predicted the
voltage sensor V1/2 of Kv2.1 from electrophysiology, we observed
a 6.4-mV SD with a range of 19 mV, and this variance appeared to
be exacerbated by GxTX-594 having a 9.7-mV SD and range of
36 mV (Fig. 1 E). As EVAP dynamics and the GV are both
determined by voltage sensor activation, variability in the GxTX-
594 response is expected. The hypothesis that cell-to-cell varia-
tion in fluorescence dynamics is due to the inherent variability of
Kv2.1 voltage sensor activation could be more definitively tested
by identifying whether a correlation exists between the V1/2 of
the QV and fluorescence–voltage relationship from individual
cells labeled with GxTX-594. While we have not attempted this,
the structure of the variance in GxTX-594 fluorescence–voltage
relationships is informative. The fluorescence–voltage relation-
ships compiled from many cells become more variable near the
midpoint of relevant voltage sensor movements. The response
amplitude F/Finit (Fig. 6 D) is determined by unlabeled voltage
sensor activation and appears most variable near the V1/2 of the
unlabeled QV relation (−32 mV; Tilley et al., 2019). The response
kinetics kΔF are determined by activation of voltage sensors,
which have GxTX-594 bound and appear to become increasingly
variable at voltages higher than −20 mV (Fig. 6 E, bottom panel).
Despite this variability, the V1/2 and z from the Boltzmann fit of
–voltage relationship from many cells were remarkably
the kΔF
close to the QV of the GxTX–Kv2.1 complex, with a V1/2 and z that
differ by 3.3 mV and 0.07 e0, respectively (Tilley et al., 2019).
Another possibility is that variability in surface membrane
composition undergirds the variability of the GxTX-594 response.
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GxTX affinities are influenced by the dynamically changing com-
plement of lipids in the plasma membrane lipid composition. Lipids
bind to the voltage-sensing domain near the GxTX binding site
(Milescu et al., 2009; Gupta et al., 2015). Sphingomyelinase D
treatment, which alters the membrane composition by converting
sphingomyelin to ceramide-1-phosphate, has been shown to en-
hance GxTX affinity for Kv2.1 fourfold (Milescu et al., 2009).
Voltage activation of Kv2.1 is also affected by sphingomyelinase
treatments. While variation in lipid composition is expected to
cause variation in GxTX-594 dynamics, we do not know the degree
to which the lipid composition varies between the Kv2.1-CHO cells
in our studies.
Fluorescence intensity
Optical noise limits interpretation of EVAP imaging. While the
GxTX-594 signal from CA1 neurons was sufficient to identify
voltage sensing of endogenous Kv2 protein, fluorescence signal-
to-noise issues limit interpretation with the EVAP model. This
signal-to-noise ratio is influenced by the density of EVAP
binding sites, the fluorescence intensity from each binding site,
characteristics of the imaging system, and background fluores-
cence from unbound EVAP or other sources. As the concentra-
tion of fluorophore is lowered, background fluorescence from
unbound EVAP will decrease, and the percentage of labeled
binding sites will decrease. However, ΔF after voltage sensor
activation remains similar, as does kΔF (Fig. 7). Due to this dy-
namic, the minimum concentration of EVAP that is detectable is
expected to be determined by the background fluorescence and
the density of EVAP binding sites. Here, we see labeling of Kv2.1-
CHO cells with 1 nM GxTX-594 (Fig. 2), and previously, we
found a robust fluorescence–voltage response in 1 nM GxTX-550
(Tilley et al., 2014). in each case, <10% of resting voltage sensors
are bound by the EVAPs. In theory, fluorescence measurements
from a single EVAP molecule immobilized by binding to a single-
voltage sensor could be informative, as fluorescence from a
single binding site is eliminated altogether after unbinding and
diffusion away. If the EVAP imaging method does not have
single-molecule resolution, the density of EVAP binding sites
can limit the signal to noise.
CA1 hippocampal neurons express Kv2 proteins at a density
typical of central neurons (Misonou et al., 2004; Vacher et al.,
2008; Speca et al., 2014), and we expect that GxTX-594 imaging
will have similar signal-to-noise characteristics in most brain
regions. Improved signal to noise would be expected from such
cells that express higher densities of Kv2 proteins, such as
neurons of the subiculum, or the inner segment of photo-
receptors (Maletic-Savatic et al., 1995; Gayet-Primo et al., 2018).
Kv2 proteins are also expressed by many other cell types
throughout the body (Bocksteins, 2016), where GxTX-594–labeling
techniques may reveal Kv2 activity, if protein densities are
sufficient.
GxTX-594 inhibits Kv2 proteins
GxTX-based probes inhibit the Kv2 proteins they label by sta-
bilizing the resting conformation of Kv2 voltage sensors. The
Kv2.1–GxTX-594 complex does not open to conduct K+ ions in
the physiological voltage range (Fig. 1). Thus, GxTX-594 depletes
the population of Kv2 proteins responding normally to physio-
logical stimuli, which could alter Kv2 signaling. The concentra-
tion of an EVAP can be lowered such that only an inconsequential
minority of proteins are bound, with the trade-off being dim-
mer fluorescence. With a related probe, we explored the impact
of decreasing concentration on fluorescence response of a
GxTX-based EVAP and saw substantial fluorescence responses
to voltage while inhibiting only ∼10% of Kv2.1 current (Tilley
et al., 2014). Here, we demonstrate that lower concentration
and physiological stimuli are not always required for scientif-
ically meaningful implementation of an EVAP. Even when
GxTX-594 inhibits most Kv2 proteins, the behavior of unla-
beled Kv2 proteins can be calculated using the EVAP model we
have developed. Of course, the electrical feedback within cells
will be altered by such protocols.
The EVAP model is oversimplified
Another limitation of the analysis developed here is that the
model of Kv2 voltage sensor conformational change is an over-
simplification. The gating dynamics of Kv2 channels are more
complex than our model (Islas and Sigworth, 1999; Scholle et al.,
2004; Jara-Oseguera et al., 2011; Tilley et al., 2019). Under some
conditions, the assumption of voltage sensor independence will
limit the model’s predictive power. With a related tarantula
toxin, Hanatoxin, the concentration dependence for inhibition
of Kv2.1 charge movement was consistent with independent
binding to each voltage sensor inhibiting ∼25% of the total
gating charge movement (Lee et al., 2003). This result suggests
that the simplifying assumption of voltage sensor inde-
pendence is reasonable. Additionally, the model of GxTX-
594–reversible labeling developed here assumes that voltage
sensors are in continuous equilibrium. These deviations from
equilibrium likely explain the deviation of the model from the
data in response to high-frequency voltage steps (Fig. 8, C and
D). This model could be further tested with a Kv2 mutant,
which shifts channel gating without interfering with GxTX-594
binding.
Conformation-selective probes reveal conformational changes
of endogenous proteins
Measurements of dynamic reversible labeling by a conformation-
selective probe such as GxTX-594 can enable deduction of how
unlabeled proteins behave. This is perhaps counterintuitive be-
cause GxTX inhibits voltage sensor movement of the Kv2 protein
it binds, and thus, only bound proteins generate optical signals.
This approach is analogous to calcium imaging experiments,
which have been spectacularly informative about physiological
calcium signaling (Yang and Yuste, 2017), despite the fact that no
optical signals originate from the physiologically relevant free Ca2+
but only from Ca2+ that is chelated by a dye. In all such experi-
ments, fluorescence from Ca2+-bound dyes is deconvolved using
the statistical thermodynamics of Ca2+ binding to calculate free
Ca2+ (Adams, 2010). Similarly, GxTX-based probes dynamically
bind to unlabeled Kv2 proteins, and the binding rate depends on
the probability that unlabeled voltage sensors are in a resting
conformation (Fig. 7). Thus, the conformations of unlabeled Kv2
proteins influence the dynamics of labeling with GxTX-based
Thapa et al.
Imaging conformational change of endogenous Kv2
Journal of General Physiology
https://doi.org/10.1085/jgp.202012858
21 of 24
probes. Consequently, the dynamics of labeling reveal the
conformations of unlabeled Kv2 proteins.
Deployment of GxTX-594 to report conformational changes
of endogenous proteins demonstrates that conformation-selective
ligands can be used to image occurrence of the conformations
they bind to. The same principles of action apply to any
conformation-selective labeling reagent, suggesting that probes
for conformational changes of many different proteins could be
developed. Probes could conceivably be developed from the
many other voltage sensor toxins or other gating modifiers that
act by a similar mechanism as GxTX yet target the voltage
sensors of different ion channel proteins (McDonough et al.,
1997; Sack et al., 2004; Catterall et al., 2007; Swartz, 2007;
Schmalhofer et al., 2008; Peretz et al., 2010; McCormack et al.,
2013; Ahuja et al., 2015; Dockendorff et al., 2018; Zhang et al.,
2018). Conformation-selective binders have been engineered
for a variety of other proteins, and methods to quantify con-
formational changes from their fluorescence are needed. For
example, fluorescently labeled conformation-selective binders
have revealed that endocytosed GPCRs continue to remain in a
physiologically activated conformation (Irannejad et al., 2013;
Tsvetanova et al., 2015; Eichel and von Zastrow, 2018). A means
to determine the conformational equilibria of GPCRs from
fluorescence images has not yet been developed. We suggest
that the statistical thermodynamic framework developed here
could provide a starting point for more quantitative interpre-
tation of other conformation-selective molecular probes.
Acknowledgments
Christopher J. Lingle served as editor.
We thank Jim Trimmer (University of California, Davis) for
numerous discussions and constructive critical reading of an
early version of the manuscript. We thank Georgeann Sack
(Afferent LLC) for critical reading, editing, and feedback.
This research was supported by National Institutes of Health
grants R01NS096317 (to J.T. Sack and B.E. Cohen), U01NS090581
(to J.T. Sack), R21EY026449 (to J.T. Sack), R01NS062736 (to K.
Zito), U01NS103571 (to K. Zito), T32GM007377 (to R.J. Sepela),
University of California, Davis New Research Initiative award (to
J.T. Sack) and American Heart Association grant 17POST33670698
(to P. Thapa). GxTX variants were synthesized at the Molecular
Foundry, supported by the Director, Office of Science, Office of Basic
Energy Sciences, Division of Materials Sciences and Engineering,
U.S. Department of Energy under contract DE-AC02-05CH11231.
The authors declare no competing financial interests.
Author contributions: P. Thapa: Conceptualization, formal
analysis, investigation, methodology, visualization, writing-
original draft, writing-reviewing and editing. R. Stewart:
Conceptualization, formal analysis, investigation, methodology,
visualization, writing-original draft, writing-reviewing and
editing. R.J. Sepela: Conceptualization, formal analysis, inves-
tigation, methodology, visualization, writing-original draft,
writing-reviewing and editing. O. Vivas: Investigation, meth-
odology, writing-reviewing and editing. L.K. Parajuli: Investi-
gation, methodology, writing-reviewing and editing. M. Lillya:
Conceptualization, formal analysis, investigation, methodology,
visualization, writing-reviewing and editing. S. Fletcher-Taylor:
Investigation, methodology, writing-reviewing and editing. B.E.
Cohen: Conceptualization, funding acquisition, project adminis-
tration, supervision, writing-reviewing and editing. K. Zito:
Conceptualization, funding acquisition, investigation, metho-
dology, project administration, supervision, writing-original
draft, writing-reviewing and editing. J.T. Sack: Conceptualization,
formal analysis, funding acquisition, investigation, methodology,
project administration, supervision, visualization, writing-original
draft, writing-reviewing and editing.
Submitted: 3 January 2021
Accepted: 3 September 2021
References
Adams, S.R. 2010. How calcium indicators work. Cold Spring Harb. Protoc.
2010:top70. https://doi.org/10.1101/pdb.top70
Aggarwal, S.K., and R. MacKinnon. 1996. Contribution of the S4 segment to
gating charge in the Shaker K+ channel. Neuron. 16:1169–1177. https://doi
.org/10.1016/S0896-6273(00)80143-9
Ahuja, S., S. Mukund, L. Deng, K. Khakh, E. Chang, H. Ho, S. Shriver, C.
Young, S. Lin, J.P. Johnson Jr., et al. 2015. Structural basis of Nav1.7
inhibition by an isoform-selective small-molecule antagonist. Science.
350:aac5464. https://doi.org/10.1126/science.aac5464
An, W.F., M.R. Bowlby, M. Betty, J. Cao, H.P. Ling, G. Mendoza, J.W. Hinson,
K.I. Mattsson, B.W. Strassle, J.S. Trimmer, and K.J. Rhodes. 2000.
Modulation of A-type potassium channels by a family of calcium sen-
sors. Nature. 403:553–556. https://doi.org/10.1038/35000592
Antonucci, D.E., S.T. Lim, S. Vassanelli, and J.S. Trimmer. 2001. Dynamic
localization and clustering of dendritic Kv2.1 voltage-dependent po-
tassium channels in developing hippocampal neurons. Neuroscience.
108:69–81. https://doi.org/10.1016/S0306-4522(01)00476-6
Armstrong, C.M., and F. Bezanilla. 1973. Currents related to movement of the
gating particles of the sodium channels. Nature. 242:459–461. https://
doi.org/10.1038/242459a0
Benndorf, K., R. Koopmann, C. Lorra, and O. Pongs. 1994. Gating and conduc-
tance properties of a human delayed rectifier K+ channel expressed in frog
oocytes. J. Physiol. 477:1–14. https://doi.org/10.1113/jphysiol.1994.sp020166
Bezanilla, F. 2008. How membrane proteins sense voltage. Nat. Rev. Mol. Cell
Biol. 9:323–332. https://doi.org/10.1038/nrm2376
Bezanilla, F. 2018. Gating currents. J. Gen. Physiol. 150:911–932. https://doi
.org/10.1085/jgp.201812090
Bocksteins, E. 2016. Kv5, Kv6, Kv8, and Kv9 subunits: No simple silent by-
standers. J. Gen. Physiol. 147:105–125. https://doi.org/10.1085/jgp
.201511507
Bolte, S., and F.P. Cordelières. 2006. A guided tour into subcellular colocal-
ization analysis in light microscopy. J. Microsc. 224:213–232. https://doi
.org/10.1111/j.1365-2818.2006.01706.x
Catterall, W.A., S. Cestèle, V. Yarov-Yarovoy, F.H. Yu, K. Konoki, and T.
Scheuer. 2007. Voltage-gated ion channels and gating modifier toxins.
Toxicon. 49:124–141. https://doi.org/10.1016/j.toxicon.2006.09.022
Cerda, O., and J.S. Trimmer. 2011. Activity-dependent phosphorylation of
J. Biol. Chem. 286:
neuronal Kv2.1 potassium channels by CDK5.
28738–28748. https://doi.org/10.1074/jbc.M111.251942
Dai, X.Q., J. Kolic, P. Marchi, S. Sipione, and P.E. Macdonald. 2009. SU-
MOylation regulates Kv2.1 and modulates pancreatic beta-cell excita-
bility. J. Cell Sci. 122:775–779. https://doi.org/10.1242/jcs.036632
Dai, X.Q., J.E. Manning Fox, D. Chikvashvili, M. Casimir, G. Plummer, C.
Hajmrle, A.F. Spigelman, T. Kin, D. Singer-Lahat, Y. Kang, et al. 2012.
The voltage-dependent potassium channel subunit Kv2.1 regulates in-
sulin secretion from rodent and human islets independently of its
electrical function. Diabetologia. 55:1709–1720. https://doi.org/10.1007/
s00125-012-2512-6
Deutsch, E., A.V. Weigel, E.J. Akin, P. Fox, G. Hansen, C.J. Haberkorn, R.
Loftus, D. Krapf, and M.M. Tamkun. 2012. Kv2.1 cell surface clusters are
insertion platforms for ion channel delivery to the plasma membrane.
Mol. Biol. Cell. 23:2917–2929. https://doi.org/10.1091/mbc.e12-01-0047
Dockendorff, C., D.M. Gandhi, I.H. Kimball, K.S. Eum, R. Rusinova, H.I. In-
gólfsson, R. Kapoor, T. Peyear, M.W. Dodge, S.F. Martin, et al. 2018.
Thapa et al.
Imaging conformational change of endogenous Kv2
Journal of General Physiology
https://doi.org/10.1085/jgp.202012858
22 of 24
Synthetic analogues of the snail toxin 6-bromo-2-mercaptotryptamine
Dimer (BrMT) reveal that lipid bilayer perturbation does not underlie
its modulation of voltage-gated potassium channels. Biochemistry. 57:
2733–2743. https://doi.org/10.1021/acs.biochem.8b00292
Du, J., J.H. Tao-Cheng, P. Zerfas, and C.J. McBain. 1998. The K+ channel, Kv2.1,
is apposed to astrocytic processes and is associated with inhibitory
postsynaptic membranes in hippocampal and cortical principal neurons
and inhibitory interneurons. Neuroscience. 84:37–48. https://doi.org/10
.1016/S0306-4522(97)00519-8
Du, J., L.L. Haak, E. Phillips-Tansey, J.T. Russell, and C.J. McBain. 2000.
Frequency-dependent regulation of rat hippocampal somato-dendritic
excitability by the K+ channel subunit Kv2.1. J. Physiol. 522:19–31.
https://doi.org/10.1111/j.1469-7793.2000.t01-2-00019.xm
Eichel, K., and M. von Zastrow. 2018. Subcellular organization of GPCR sig-
naling. Trends Pharmacol. Sci. 39:200–208. https://doi.org/10.1016/j.tips
.2017.11.009
Feinshreiber, L., D. Singer-Lahat, R. Friedrich, U. Matti, A. Sheinin, O. Yizhar,
R. Nachman, D. Chikvashvili, J. Rettig, U. Ashery, and I. Lotan. 2010.
Non-conducting function of the Kv2.1 channel enables it to recruit
vesicles for release in neuroendocrine and nerve cells. J. Cell Sci. 123:
1940–1947. https://doi.org/10.1242/jcs.063719
Fletcher-Taylor, S., P. Thapa, R.J. Sepela, R. Kaakati, V. Yarov-Yarovoy, J.T.
Sack, and B.E. Cohen. 2020. Distinguishing potassium channel resting
state conformations in live cells with environment-sensitive fluores-
11:2316–2326. https://doi.org/10.1021/
cence. ACS Chem. Neurosci.
acschemneuro.0c00276
Fox, P.D., C.J. Haberkorn, A.V. Weigel, J.L. Higgins, E.J. Akin, M.J. Kennedy, D.
Krapf, and M.M. Tamkun. 2013a. Plasma membrane domains enriched
in cortical endoplasmic reticulum function as membrane protein traf-
ficking hubs. Mol. Biol. Cell. 24:2703–2713. https://doi.org/10.1091/mbc
.e12-12-0895
Fox, P.D., R.J. Loftus, and M.M. Tamkun. 2013b. Regulation of Kv2.1 K+
conductance by cell surface channel density. J. Neurosci. 33:1259–1270.
https://doi.org/10.1523/JNEUROSCI.3008-12.2013
Fox, P.D., C.J. Haberkorn, E.J. Akin, P.J. Seel, D. Krapf, and M.M. Tamkun.
2015. Induction of stable ER-plasma-membrane junctions by Kv2.1 po-
tassium channels. J. Cell Sci. 128:2096–2105. https://doi.org/10.1242/jcs
.166009
Frech, G.C., A.M. VanDongen, G. Schuster, A.M. Brown, and R.H. Joho. 1989.
A novel potassium channel with delayed rectifier properties isolated
from rat brain by expression cloning. Nature. 340:642–645. https://doi
.org/10.1038/340642a0
Gayet-Primo, J., D.B. Yaeger, R.A. Khanjian, and T. Puthussery. 2018. Het-
eromeric KV2/KV8.2 channels mediate delayed rectifier potassium
currents in primate photoreceptors. J. Neurosci. 38:3414–3427. https://
doi.org/10.1523/JNEUROSCI.2440-17.2018
Gordon, E., T.K. Roepke, and G.W. Abbott. 2006. Endogenous KCNE subunits
govern Kv2.1 K+ channel activation kinetics in Xenopus oocyte studies.
Biophys. J. 90:1223–1231. https://doi.org/10.1529/biophysj.105.072504
Gupta, K., M. Zamanian, C. Bae, M. Milescu, D. Krepkiy, D.C. Tilley, J.T. Sack,
V. Yarov-Yarovoy, J.I. Kim, and K.J. Swartz. 2015. Tarantula toxins use
common surfaces for interacting with Kv and ASIC ion channels. eLife.
4:e06774. https://doi.org/10.7554/eLife.06774
Herrington, J., Y.P. Zhou, R.M. Bugianesi, P.M. Dulski, Y. Feng, V.A. Warren,
M.M. Smith, M.G. Kohler, V.M. Garsky, M. Sanchez, et al. 2006.
Blockers of the delayed-rectifier potassium current in pancreatic β-cells
enhance glucose-dependent insulin secretion. Diabetes. 55:1034–1042.
https://doi.org/10.2337/diabetes.55.04.06.db05-0788
Irannejad, R., J.C. Tomshine, J.R. Tomshine, M. Chevalier, J.P. Mahoney, J.
Steyaert, S.G. Rasmussen, R.K. Sunahara, H. El-Samad, B. Huang, and M.
von Zastrow. 2013. Conformational biosensors reveal GPCR signalling from
endosomes. Nature. 495:534–538. https://doi.org/10.1038/nature12000
Islas, L.D., and F.J. Sigworth. 1999. Voltage sensitivity and gating charge in
Shaker and Shab family potassium channels. J. Gen. Physiol. 114:723–742.
https://doi.org/10.1085/jgp.114.5.723
Jara-Oseguera, A., I.G. Ishida, G.E. Rangel-Yescas, N. Espinosa-Jalapa, J.A.
P´erez-Guzm´an, D. El´ıas-Viñas, R. Le Lagadec, T. Rosenbaum, and L.D.
Islas. 2011. Uncoupling charge movement from channel opening in
voltage-gated potassium channels by ruthenium complexes. J. Biol.
Chem. 286:16414–16425. https://doi.org/10.1074/jbc.M110.198010
Johnson, B., A.N. Leek, L. Sol´e, E.E. Maverick, T.P. Levine, and M.M.
Tamkun. 2018. Kv2 potassium channels form endoplasmic reticu-
lum/plasma membrane junctions via interaction with VAPA and
VAPB. Proc. Natl. Acad. Sci. USA. 115:E7331–E7340. https://doi.org/10
.1073/pnas.1805757115
Kaczmarek, L.K. 2006. Non-conducting functions of voltage-gated ion
channels. Nat. Rev. Neurosci. 7:761–771. https://doi.org/10.1038/nrn1988
Kang, S.K., C.G. Vanoye, S.N. Misra, D.M. Echevarria, J.D. Calhoun, J.B.
O’Connor, K.L. Fabre, D. McKnight, L. Demmer, P. Goldenberg, et al.
2019. Spectrum of KV 2.1 dysfunction in KCNB1-associated neuro-
developmental disorders. Ann. Neurol. 86:899–912. https://doi.org/10
.1002/ana.25607
Kirmiz, M., S. Palacio, P. Thapa, A.N. King, J.T. Sack, and J.S. Trimmer. 2018a.
Remodeling neuronal ER-PM junctions is a conserved nonconducting
function of Kv2 plasma membrane ion channels. Mol. Biol. Cell. 29:
2410–2432. https://doi.org/10.1091/mbc.E18-05-0337
Kirmiz, M., N.C. Vierra, S. Palacio, and J.S. Trimmer. 2018b. Identification of
VAPA and VAPB as Kv2 channel-interacting proteins defining endo-
plasmic reticulum-plasma membrane junctions in mammalian brain
neurons. J. Neurosci. 38:7562–7584. https://doi.org/10.1523/JNEUROSCI
.0893-18.2018
Kirmiz, M., T.E. Gillies, E.J. Dickson, and J.S. Trimmer. 2019. Neuronal ER-
plasma membrane junctions organized by Kv2-VAP pairing recruit Nir
proteins and affect phosphoinositide homeostasis. J. Biol. Chem. 294:
17735–17757. https://doi.org/10.1074/jbc.RA119.007635
Lee, H.C., J.M. Wang, and K.J. Swartz. 2003. Interaction between extracel-
lular Hanatoxin and the resting conformation of the voltage-sensor
paddle in Kv channels. Neuron. 40:527–536. https://doi.org/10.1016/
S0896-6273(03)00636-6
Legant, W.R., L. Shao, J.B. Grimm, T.A. Brown, D.E. Milkie, B.B. Avants, L.D.
Lavis, and E. Betzig. 2016. High-density three-dimensional localization
microscopy across large volumes. Nat. Methods. 13:359–365. https://doi
.org/10.1038/nmeth.3797
Lewis, G.N. 1925. A new principle of equilibrium. Proc. Natl. Acad. Sci. USA. 11:
179–183. https://doi.org/10.1073/pnas.11.3.179
Li, H., W. Guo, H. Xu, R. Hood, A.T. Benedict, and J.M. Nerbonne. 2001.
Functional expression of a GFP-tagged Kv1.5 alpha-subunit in mouse
ventricle. Am. J. Physiol. Heart Circ. Physiol. 281:H1955–H1967. https://doi
.org/10.1152/ajpheart.2001.281.5.H1955
Lin, M.Z., and M.J. Schnitzer. 2016. Genetically encoded indicators of neu-
ronal activity. Nat. Neurosci. 19:1142–1153. https://doi.org/10.1038/nn
.4359
Liu, P.W., and B.P. Bean. 2014. Kv2 channel regulation of action potential
repolarization and firing patterns in superior cervical ganglion neurons
and hippocampal CA1 pyramidal neurons. J. Neurosci. 34:4991–5002.
https://doi.org/10.1523/JNEUROSCI.1925-13.2014
Long, S.B., E.B. Campbell, and R. Mackinnon. 2005. Voltage sensor of Kv1.2:
structural basis of electromechanical coupling. Science. 309:903–908.
https://doi.org/10.1126/science.1116270
Long, S.B., X. Tao, E.B. Campbell, and R. MacKinnon. 2007. Atomic structure
of a voltage-dependent K+ channel in a lipid membrane-like environ-
ment. Nature. 450:376–382. https://doi.org/10.1038/nature06265
MacDonald, P.E., A.M. Salapatek, and M.B. Wheeler. 2003. Temperature and
redox state dependence of native Kv2.1 currents in rat pancreatic beta-
J. Physiol. 546:647–653. https://doi.org/10.1113/jphysiol.2002
cells.
.035709
Maletic-Savatic, M., N.J. Lenn, and J.S. Trimmer. 1995. Differential spatio-
temporal expression of K+ channel polypeptides in rat hippocampal
neurons developing in situ and in vitro. J. Neurosci. 15:3840–3851.
https://doi.org/10.1523/JNEUROSCI.15-05-03840.1995
Malin, S.A., and J.M. Nerbonne. 2002. Delayed rectifier K+ currents, IK, are
encoded by Kv2 alpha-subunits and regulate tonic firing in mammalian
sympathetic neurons. J. Neurosci. 22:10094–10105. https://doi.org/10
.1523/JNEUROSCI.22-23-10094.2002
McCord, M.C., and E. Aizenman. 2013. Convergent Ca2+ and Zn2+ signaling
regulates apoptotic Kv2.1 K+ currents. Proc. Natl. Acad. Sci. USA. 110:
13988–13993. https://doi.org/10.1073/pnas.1306238110
McCormack, K., S. Santos, M.L. Chapman, D.S. Krafte, B.E. Marron, C.W.
West, M.J. Krambis, B.M. Antonio, S.G. Zellmer, D. Printzenhoff, et al.
2013. Voltage sensor interaction site for selective small molecule in-
hibitors of voltage-gated sodium channels. Proc. Natl. Acad. Sci. USA. 110:
E2724–E2732. https://doi.org/10.1073/pnas.1220844110
McCrossan, Z.A., T.K. Roepke, A. Lewis, G. Panaghie, and G.W. Abbott. 2009.
Regulation of the Kv2.1 potassium channel by MinK and MiRP1.
J. Membr. Biol. 228:1–14. https://doi.org/10.1007/s00232-009-9154-8
McDonough, S.I., I.M. Mintz, and B.P. Bean. 1997. Alteration of P-type cal-
cium channel gating by the spider toxin omega-Aga-IVA. Biophys. J. 72:
2117–2128. https://doi.org/10.1016/S0006-3495(97)78854-4
Milescu, M., F. Bosmans, S. Lee, A.A. Alabi, J.I. Kim, and K.J. Swartz. 2009.
Interactions between lipids and voltage sensor paddles detected with
Thapa et al.
Imaging conformational change of endogenous Kv2
Journal of General Physiology
https://doi.org/10.1085/jgp.202012858
23 of 24
tarantula toxins. Nat. Struct. Mol. Biol. 16:1080–1085. https://doi.org/10
.1038/nsmb.1679
Misonou, H., D.P. Mohapatra, E.W. Park, V. Leung, D. Zhen, K. Misonou, A.E.
Anderson, and J.S. Trimmer. 2004. Regulation of ion channel localiza-
tion and phosphorylation by neuronal activity. Nat. Neurosci. 7:711–718.
https://doi.org/10.1038/nn1260
Misonou, H., D.P. Mohapatra, M. Menegola, and J.S. Trimmer. 2005. Calcium-
and metabolic state-dependent modulation of the voltage-dependent Kv2.1
channel regulates neuronal excitability in response to ischemia. J. Neurosci.
25:11184–11193. https://doi.org/10.1523/JNEUROSCI.3370-05.2005
Murakoshi, H., G. Shi, R.H. Scannevin, and J.S. Trimmer. 1997. Phosphoryl-
ation of the Kv2.1 K+ channel alters voltage-dependent activation. Mol.
Pharmacol. 52:821–828. https://doi.org/10.1124/mol.52.5.821
O’Connell, K.M., R. Loftus, and M.M. Tamkun. 2010. Localization-dependent
activity of the Kv2.1 delayed-rectifier K+ channel. Proc. Natl. Acad. Sci.
USA. 107:12351–12356. https://doi.org/10.1073/pnas.1003028107
Opitz-Araya, X., and A. Barria. 2011. Organotypic hippocampal slice cultures.
J. Vis. Exp. (48):2462.
Park, K.S., D.P. Mohapatra, H. Misonou, and J.S. Trimmer. 2006. Graded
regulation of the Kv2.1 potassium channel by variable phosphorylation.
Science. 313:976–979. https://doi.org/10.1126/science.1124254
Peltola, M.A., J. Kuja-Panula, S.E. Lauri, T. Taira, and H. Rauvala. 2011.
AMIGO is an auxiliary subunit of the Kv2.1 potassium channel. EMBO
Rep. 12:1293–1299. https://doi.org/10.1038/embor.2011.204
Peretz, A., L. Pell, Y. Gofman, Y. Haitin, L. Shamgar, E. Patrich, P. Kornilov, O.
Gourgy-Hacohen, N. Ben-Tal, and B. Attali. 2010. Targeting the voltage
sensor of Kv7.2 voltage-gated K+ channels with a new gating-modifier.
Proc. Natl. Acad. Sci. USA. 107:15637–15642. https://doi.org/10.1073/pnas
.0911294107
Plant, L.D., E.J. Dowdell, I.S. Dementieva, J.D. Marks, and S.A. Goldstein. 2011.
SUMO modification of cell surface Kv2.1 potassium channels regulates
the activity of rat hippocampal neurons. J. Gen. Physiol. 137:441–454.
https://doi.org/10.1085/jgp.201110604
Pologruto, T.A., B.L. Sabatini, and K. Svoboda. 2003. ScanImage: flexible
software for operating laser scanning microscopes. Biomed. Eng. Online.
2:13. https://doi.org/10.1186/1475-925X-2-13
Ramu, Y., Y. Xu, and Z. Lu. 2006. Enzymatic activation of voltage-gated
potassium channels. Nature. 442:696–699. https://doi.org/10.1038/
nature04880
Sack, J.T., R.W. Aldrich, and W.F. Gilly. 2004. A gastropod toxin selectively
slows early transitions in the Shaker K channel’s activation pathway.
J. Gen. Physiol. 123:685–696. https://doi.org/10.1085/jgp.200409047
Sack, J.T., N. Stephanopoulos, D.C. Austin, M.B. Francis, and J.S. Trimmer.
2013. Antibody-guided photoablation of voltage-gated potassium cur-
rents. J. Gen. Physiol. 142:315–324. https://doi.org/10.1085/jgp.201311023
Schmalhofer, W.A., J. Calhoun, R. Burrows, T. Bailey, M.G. Kohler, A.B.
Weinglass, G.J. Kaczorowski, M.L. Garcia, M. Koltzenburg, and B.T.
Priest. 2008. ProTx-II, a selective inhibitor of NaV1.7 sodium channels,
blocks action potential propagation in nociceptors. Mol. Pharmacol. 74:
1476–1484. https://doi.org/10.1124/mol.108.047670
Schneider, M.F., and W.K. Chandler. 1973. Voltage dependent charge move-
ment of skeletal muscle: a possible step in excitation-contraction cou-
pling. Nature. 242:244–246. https://doi.org/10.1038/242244a0
Schneider, C.A., W.S. Rasband, and K.W. Eliceiri. 2012. NIH Image to ImageJ:
25 years of image analysis. Nat. Methods. 9:671–675. https://doi.org/10
.1038/nmeth.2089
Scholle, A., S. Dugarmaa, T. Zimmer, M. Leonhardt, R. Koopmann, B. Enge-
land, O. Pongs, and K. Benndorf. 2004. Rate-limiting reactions deter-
mining different activation kinetics of Kv1.2 and Kv2.1 channels.
J. Membr. Biol. 198:103–112. https://doi.org/10.1007/s00232-004-0664-0
Seoh, S.A., D. Sigg, D.M. Papazian, and F. Bezanilla. 1996. Voltage-sensing
residues in the S2 and S4 segments of the Shaker K+ channel. Neuron. 16:
1159–1167. https://doi.org/10.1016/S0896-6273(00)80142-7
Shibata, R., H. Misonou, C.R. Campomanes, A.E. Anderson, L.A. Schrader,
L.C. Doliveira, K.I. Carroll, J.D. Sweatt, K.J. Rhodes, and J.S. Trimmer.
2003. A fundamental role for KChIPs in determining the molecular
properties and trafficking of Kv4.2 potassium channels. J. Biol. Chem.
278:36445–36454. https://doi.org/10.1074/jbc.M306142200
Singer-Lahat, D., A. Sheinin, D. Chikvashvili, S. Tsuk, D. Greitzer, R. Frie-
drich, L. Feinshreiber, U. Ashery, M. Benveniste, E.S. Levitan, and I.
Lotan. 2007. K+ channel facilitation of exocytosis by dynamic interac-
tion with syntaxin. J. Neurosci. 27:1651–1658. https://doi.org/10.1523/
JNEUROSCI.4006-06.2007
Speca, D.J., G. Ogata, D. Mandikian, H.I. Bishop, S.W. Wiler, K. Eum, H.J.
Wenzel, E.T. Doisy, L. Matt, K.L. Campi, et al. 2014. Deletion of the Kv2.1
delayed rectifier potassium channel leads to neuronal and behavioral
hyperexcitability. Genes Brain Behav. 13:394–408. https://doi.org/10
.1111/gbb.12120
Stewart, R., B.E. Cohen, and J.T. Sack. 2021. Fluorescent toxins as ion channel
activity sensors. Methods Enzymol. 653:295–318. https://doi.org/10.1016/
bs.mie.2021.02.014
Stoppini, L., P.A. Buchs, and D. Muller. 1991. A simple method for organotypic
cultures of nervous tissue. J. Neurosci. Methods. 37:173–182. https://doi
.org/10.1016/0165-0270(91)90128-M
Swartz, K.J. 2007. Tarantula toxins interacting with voltage sensors in po-
tassium channels. Toxicon. 49:213–230. https://doi.org/10.1016/j.toxicon
.2006.09.024
Tanabe, T., K.G. Beam, J.A. Powell, and S. Numa. 1988. Restoration of
excitation-contraction coupling and slow calcium current in dysgenic
muscle by dihydropyridine receptor complementary DNA. Nature. 336:
134–139. https://doi.org/10.1038/336134a0
Tao, X., A. Lee, W. Limapichat, D.A. Dougherty, and R. MacKinnon. 2010. A
gating charge transfer center in voltage sensors. Science. 328:67–73.
https://doi.org/10.1126/science.1185954
Tilley, D.C., K.S. Eum, S. Fletcher-Taylor, D.C. Austin, C. Dupr´e, L.A. Patrón,
R.L. Garcia, K. Lam, V. Yarov-Yarovoy, B.E. Cohen, and J.T. Sack. 2014.
Chemoselective tarantula toxins report voltage activation of wild-type
ion channels in live cells. Proc. Natl. Acad. Sci. USA. 111:E4789–E4796.
https://doi.org/10.1073/pnas.1406876111
Tilley, D.C., J.M. Angueyra, K.S. Eum, H. Kim, L.H. Chao, A.W. Peng, and J.T.
Sack. 2019. The tarantula toxin GxTx detains K+ channel gating charges
in their resting conformation. J. Gen. Physiol. 151:292–315. https://doi
.org/10.1085/jgp.201812213
Trapani, J.G., and S.J. Korn. 2003. Control of ion channel expression for patch
clamp recordings using an inducible expression system in mammalian
cell lines. BMC Neurosci. 4:15. https://doi.org/10.1186/1471-2202-4-15
Tsvetanova, N.G., R. Irannejad, and M. von Zastrow. 2015. G protein-coupled
receptor (GPCR) signaling via heterotrimeric G proteins from endosomes.
J. Biol. Chem. 290:6689–6696. https://doi.org/10.1074/jbc.R114.617951
Turner, M., D.E. Anderson, P. Bartels, M. Nieves-Cintron, A.M. Coleman, P.B.
Henderson, K.N.M. Man, P.Y. Tseng, V. Yarov-Yarovoy, D.M. Bers, et al.
2020. α-Actinin-1 promotes activity of the L-type Ca2+ channel Cav 1.2.
EMBO J. 39:e102622. https://doi.org/10.15252/embj.2020106171
Vacher, H., D.P. Mohapatra, and J.S. Trimmer. 2008. Localization and tar-
geting of voltage-dependent ion channels in mammalian central neu-
rons. Physiol. Rev. 88:1407–1447. https://doi.org/10.1152/physrev.00002
.2008
Vierra, N.C., M. Kirmiz, D. van der List, L.F. Santana, and J.S. Trimmer. 2019.
Kv2.1 mediates spatial and functional coupling of L-type calcium
channels and ryanodine receptors in mammalian neurons. eLife. 8:
e49953. https://doi.org/10.7554/eLife.49953
Weigel, A.V., P.D. Fox, E.J. Akin, K.H. Ecklund, M.M. Tamkun, and D. Krapf.
2012. Size of cell-surface Kv2.1 domains is governed by growth fluctua-
tions. Biophys. J. 103:1727–1734. https://doi.org/10.1016/j.bpj.2012.09.013
Weigel, A.V., M.M. Tamkun, and D. Krapf. 2013. Quantifying the dynamic in-
teractions between a clathrin-coated pit and cargo molecules. Proc. Natl.
Acad. Sci. USA. 110:E4591–E4600. https://doi.org/10.1073/pnas.1315202110
Woods, G., and K. Zito. 2008. Preparation of gene gun bullets and biolistic
transfection of neurons in slice culture. J. Vis. Exp. 12:675. https://doi
.org/10.3791/675
Xu, H., T. Li, A. Rohou, C.P. Arthur, F. Tzakoniati, E. Wong, A. Estevez, C.
Kugel, Y. Franke, J. Chen, et al. 2019. Structural basis of Nav1.7 inhi-
bition by a gating-modifier spider toxin. Cell. 176:1238–1239. https://doi
.org/10.1016/j.cell.2019.01.047
Yang, W., and R. Yuste. 2017. In vivo imaging of neural activity. Nat. Methods.
14:349–359. https://doi.org/10.1038/nmeth.4230
Zagotta, W.N., T. Hoshi, J. Dittman, and R.W. Aldrich. 1994. Shaker potassium
channel gating. II: Transitions in the activation pathway. J. Gen. Physiol.
103:279–319. https://doi.org/10.1085/jgp.103.2.279
Zhang, G., S. Zheng, H. Liu, and P.R. Chen. 2015. Illuminating biological
processes through site-specific protein labeling. Chem. Soc. Rev. 44:
3405–3417. https://doi.org/10.1039/C4CS00393D
Zhang, A.H., G. Sharma, E.A.B. Undheim, X. Jia, and M. Mobli. 2018. A
complicated complex: Ion channels, voltage sensing, cell membranes
and peptide inhibitors. Neurosci. Lett. 679:35–47. https://doi.org/10
.1016/j.neulet.2018.04.030
Zito, K., G. Knott, G.M. Shepherd, S. Shenolikar, and K. Svoboda. 2004. In-
duction of spine growth and synapse formation by regulation of the
spine actin cytoskeleton. Neuron. 44:321–334. https://doi.org/10.1016/j
.neuron.2004.09.022
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Supplemental material
Figure S1. Synthesis of GxTX-594. (A) Molecular model of GxTX-594. Scale bar, 10 ˚A. Backbone of GxTX peptide depicted with ribbon. Cys13(maleimide-
Alexa 594) depicted with CPK coloring. (B) HPLC chromatogram of Ser13Cys GxTX. Gradient described in –GxTX synthesis. Ser13Cys GxTX eluted at 12.6 min,
peak 1, which corresponds to 33% ACN. MALDI-TOF mass spectrometry profile of peak 1 (inset). (C) HPLC chromatogram of GxTX-594 conjugation reaction
between Alexa Fluor 594-maleimide and Ser13Cys GxTX. Peak 1 is Ser13Cys GxTX (retention time, 12.8 min; 33% ACN); peak 2 is a minor product from
conjugation; and peak 3 is GxTX-594, the major product from conjugation (retention time, 16.4 min; 35% ACN). The fractions corresponding to peak 3 were
combined. (D) HPLC chromatogram of the combined peak 3 fractions from C, a GxTX-594 preparation used in this study. 2 μl of 13.1 μM GxTX-594 diluted in
200 μl of 0.1% TFA was injected. MALDI-TOF mass spectrometry profile of the combined peak 3 fractions (inset). a.m.u., atomic mass unit; Rel. Int., relative
intensity.
Thapa et al.
Imaging conformational change of endogenous Kv2
Journal of General Physiology
https://doi.org/10.1085/jgp.202012858
S1
Figure S2. GxTX-594 selectively labels Kv2 proteins on cell surfaces. GxTX-594 labeling was assessed in CHO cells expressing Kv2.1-GFP, Kv2.2-GFP,
Kv4.2-GFP, Kv1.5-GFP, and BK-GFP. Each of these channel subtypes were assessed for voltage-dependent outward currents to identify cell surface expression
of the K+ channels. CHO cells were not cotransfected with the β subunits for Kv4.2, KChIP2, or Kv1.5, Kvβ2, to assess whether these β subunits interfere with
GxTX-594 binding. (A) Exemplar whole-cell voltage clamp recordings of CHO cells expressing Kv2.1-GFP, Kv2.2-GFP, Kv4.2-GFP, Kv1.5-GFP, or BK-GFP. Re-
cordings shown are representative responses to 100-ms steps from −100 mV to −40, 0, and +40 mV. (B) Confocal imaging of fluorescence from live CHO cells
transfected with Kv2.1-GFP, Kv2.2-GFP, Kv4.2-GFP, Kv1.5-GFP, or BK-GFP (indicated by row) and labeled with GxTX-594. Confocal imaging plane was >1 μm
above the glass-adhered surface. Cells were incubated with 100 nM GxTX-594 and 5 μg/ml WGA-405 and rinsed before imaging. Fluorescence shown cor-
responds to emission of GFP (column 1); Alexa Fluor 594 (column 2); WGA-405 (column 3); or an overlay of GFP, Alexa Fluor 594, and WGA-405 (column 4).
Scale bars, 20 μm. (C) Ratio of fluorescence intensity resulting from excitation of GxTX-594 at 594 nm and GFP at 488 nm. Analysis methods as in Fig. 4 B.
Kv2.1, n = 11; Kv2.2, n = 9; Kv4.2, n = 13; Kv1.5, n = 13; and BK, n = 12; n indicates the number of individual cells analyzed in a single dish during a single
application of GxTX-594 with the indicated K+ channel-GFP type. Bars represent the mean. Each circle corresponds to a cell. Significant differences were
observed between GxTX:GFP ratio for Kv2.1 or Kv2.2 and Kv1.5, Kv4.2, or BK by Mann–Whitney U test (P < 0.0001). The P value to determine significance is
adjusted for multiple comparisons using the Bonferroni method, where P < 0.0033 is considered significant, with the caveat that data points under each
condition are technical replicates. (D) Pearson correlation coefficients between GxTX-594 and GFP. Same cells as C. Analysis methods as in Fig. 4 C.
Thapa et al.
Imaging conformational change of endogenous Kv2
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S2
Figure S3. GxTX-594 labeling of surface membranes requires Kv2 protein. GxTX-594 partitioning into the membrane was assessed with fluorescence
from nontransfected CHO cells and cells transfected with Kv2-GFP proteins. (A) Fluorescence from live CHO cells transfected with Kv2.1-GFP (top row) or
Kv2.2-GFP (bottom row) and labeled with GxTX-594. Airy disk imaging was at a plane above the glass-adhered surface. Cells were incubated with 100 nM
GxTX-594 and 5 μg/ml WGA-405 then diluted to 9 nM GxTX-594 and 0.45 μg/ml WGA-405 before imaging. Scale bars, 20 μm. Fluorescence shown was excited
at 488 nm (column 1), 594 nm (column 2), or 405 nm (column 3). Scale bars, 20 μm. (B) Fluorescence intensity from Kv2.1-GFP transfected cells with excitation
of GxTX-594 at 594 nm versus GFP at 488 nm. Fluorescence from WGA-405 was used as a mask to manually draw ROIs on cells. Each point represents one cell.
Cells with obvious GFP fluorescence are green points, cells without are black points. Mean background fluorescence from a region that did not contain cells is
indicated by dashed lines. Red line represents a linear fit of cells with obvious GFP fluorescence.
Thapa et al.
Imaging conformational change of endogenous Kv2
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S3
Figure S4. Extracellular access can impact GxTX-594 labeling kinetics. (A) Time-lapse Airy disk images of the glass-adhered surface of a voltage-clamped
Kv2.1-CHO cell in 9 nM GxTX-594. Time index is in the upper left corner of each panel, and membrane potential is indicated in the upper right corner. Color
progression for pseudocoloring of fluorescence intensity is shown in vertical bar on right. Scale bar, 10 μm. (B) Airy disk image of the glass-adhered surface of a
voltage-clamped Kv2.1-CHO cell in 9 nM GxTX-594. Gray lines indicate boundaries of ROIs. ROIs 1, 2, and 3 are concentric circles, each with a respective
diameter of 1.8, 4.9, and 9.1 μm. ROI 4 was hand-drawn to contain the apparent cell surface. In all cells analyzed, ROIs 1–3 were concentric circles of the same
sizes, while ROI 4 varied based on cell shape. Scale bar, 10 μm. (C) Representative traces of GxTX-594 intensity response to voltage changes. Red lines are
monoexponential fits (Eq. 1): 40-mV step ROI 1, kΔF = 4.29 × 10−2 ± 0.26 × 10−2 s−1; ROI 2, kΔF = 4.39 × 10−2 ± 0.16 × 10−2 s−1; ROI 3, kΔF = 5.65 × 10−2 ± 0.15 ×
10−2 s−1; and ROI 4, kΔF = 9.69 × 10−2 ± 0.33 × 10−2 s−1. −80-mV step ROI 1, kΔF = 4.27 × 10−4 ± 0.11 × 10−4 s−1; ROI 2, kΔF = 7.999 × 10−4 ± 0.053 × 10−4 s−1; ROI 3,
kΔF = 2.7556 × 10−3 ± 0.0074 × 10−3 s−1; and ROI 4, kΔF = 5.46 × 10−3 ± 0.13 × 10−3 s−1. Background for subtraction was the average intensity of a region that did
not contain cells over the time course of the voltage protocol. Each trace was normalized to initial fluorescence intensity before the application of the voltage
stimulus. (D) kΔF at +40 mV from individual cells. (E) kΔF at −80 mV from individual cells. Circle coloring in D and E indicates data from the same cell.
Thapa et al.
Imaging conformational change of endogenous Kv2
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S4
Figure S5. Variation in temperature does not account for cell-to-cell variability of GxTX-594 kinetics. Temperature dependence of GxTX-594 labeling
was assessed by holding the cell bath solution at either 27°C or 37°C and stepping the membrane voltage from −80 mV to 0 mV for a measurement of kΔF at
both temperatures. (A) Representative traces of GxTX-594 fluorescence intensity response to voltage changes at 27°C (black) and 37°C (gray). Smooth lines are
fits of a monoexponential function (Eq. 1): 27°C, kΔF = 2.47 × 10−2 ± 0.39 × 10−2 s−1; 37°C, kΔF = 7.54 × 10−2 ± 0.54 × 10−2 s−1. Background subtraction was
performed as in Fig. 6 B. (B) kΔF at 27°C and 37°C. The rate of fluorescence change was significantly faster at higher temperatures (Mann–Whitney P = 0.0005).
From geometric means (bars), a Q10 of 3.8 was calculated between 27°C and 37°C. Each circle represents one cell, n = 7 both groups. ***, P < 0.0001.
Thapa et al.
Imaging conformational change of endogenous Kv2
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https://doi.org/10.1085/jgp.202012858
S5
Figure S6. GxTX-594 labels CA1 hippocampal pyramidal neurons transfected with Kv2.1-GFP. Two-photon excitation images of rat CA1 hippocampal
pyramidal neurons in brain slices as in Fig. 9 A. Kv2.1-GFP (left), GxTX-594 (middle), and overlay (right). Scale bars, 10 μm in all panels. (A) Pyramidal neurons
2 d after transfection with Kv2.1-GFP. (B) Pyramidal neurons 4 d after transfection with Kv2.1-GFP. (C) Pyramidal neurons 6 d after transfection with Kv2.1-
GFP.
Video 1. Time-lapse image sequence of GxTX-594 fluorescence on a voltage-clamped CA1 hippocampal pyramidal neuron while it is depolarized
from −70 to 0 mV. Frame rate, 0.1 fps. Playback speed, 7 fps.
Data S1 is provided online as a separate Excel file and shows a spreadsheet containing model calculations that can be used to
generate model prediction.
Thapa et al.
Imaging conformational change of endogenous Kv2
Journal of General Physiology
https://doi.org/10.1085/jgp.202012858
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10.1007_s13280-020-01405-w.pdf
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Ambio 2021, 50:586–600
https://doi.org/10.1007/s13280-020-01405-w
R E S E A R C H A R T I C L E
Ecosystem service lens reveals diverse community values
of small-scale fisheries
Kara E. Pellowe
, Heather M. Leslie
Received: 3 March 2020 / Revised: 9 August 2020 / Accepted: 29 September 2020 / Published online: 3 November 2020
to
of
ocean
benefits
Abstract The
coastal
provides
communities around the world, however, the depth and
interactions with marine
complexity
people’s
represented in many marine
ecosystems are not well
management initiatives. Many fisheries are managed to
maximize provisioning value, which is readily quantified,
while ignoring cultural values. An ecosystem services
includes both provisioning and cultural
approach that
services will enable managers to better account for the
diverse values marine fisheries provide
to coastal
communities. In this study, we assess community values
related to a top fished species, the Mexican chocolate clam,
Megapitaria squalida,
in Loreto, Baja California Sur,
Mexico. We conducted an exploratory analysis based on 42
household surveys, and found that community members
perceive multiple provisioning and cultural benefits from
the clam, including community economic, historical, and
identity values. Despite reporting infrequent harvest and
consumption of clams, participants perceive the species as
an important part of community identity, highlighting the
role of Mexican chocolate clams as a cultural keystone
species in the Loreto region. Fisheries management that
recognizes the full range of ecosystem services a species
contributes to coastal communities will be better equipped
to sustain these diverse values into the future.
Keywords Community value (cid:2) Cultural ecosystem
services (cid:2) Cultural keystone species (cid:2) Ecosystem services (cid:2)
Gulf of california (cid:2) Small-scale fisheries
Electronic supplementary material The online version of this
article (https://doi.org/10.1007/s13280-020-01405-w) contains sup-
plementary material, which is available to authorized users.
INTRODUCTION
The ocean provides many benefits to coastal communities,
income, recreational opportunities, and
including food,
aesthetic values (Halpern et al. 2012; Loomis and Paterson
2014), yet
interactions
the depth and complexity of
between people and marine ecosystems are not well
understood (Villasante et al. 2013). Management of fish-
eries and decisions related to governance of marine
ecosystems reflect society’s values, priorities, and desires
for ecosystems to produce certain benefits. These decisions
are complicated by multiple and sometimes contradictory
goals, with priority often given to values that can be readily
quantified in economic terms (Loomis and Paterson 2014).
A holistic understanding of the values produced by marine
ecosystems is necessary, if management is to accurately
reflect diverse values and balance trade-offs between
alternate priorities.
Full consideration of
the values associated with
ecosystem services will better enable resource managers to
address the needs and perspectives of different stakeholders
(Chan et al. 2012b). Ecosystem services are the benefits
that an ecosystem provides
to people (Millennium
Ecosystem Assessment 2005). The Millennium Ecosystem
Assessment (2005) outlined four categories of ecosystem
services: supporting—those services that make it possible
for ecosystems to continue providing the other three types
of services (e.g., primary production); provisioning—
products obtained from ecosystems (e.g., food); regulat-
ing—benefits produced through ecological processes (e.g.,
water purification); and cultural—nonmaterial benefits of
ecosystems (e.g., recreation and sense of place). The
ecosystem services approach is a useful tool for under-
standing the connections between humans and ecosystems
that goes beyond quantifiable outcomes such as income and
123
(cid:2) The Author(s) 2020
www.kva.se/en
Ambio 2021, 50:586–600
587
food provision to include cultural and social values (Chan
et al. 2012b). Earlier work on ecosystem services involved
the integration of biophysical and economic perspectives to
assess the value of biophysical processes in economic
terms (Daily et al. 2000; Turner and Daily 2008). Eco-
nomic approaches have been useful in advancing under-
standing of human–nature relationships and facilitating
integration of ecosystem-related values into decision-
making (Turner and Daily 2008). However, economic
approaches fail to encompass dimensions of value that
cannot be quantified in economic terms, including many
cultural and non-use values (Chan et al. 2011, 2012b).
Resource management that is focused on a limited set of
ecosystem services may lead to unexpected regime shifts
and sudden losses of other ecosystem services (Gordon
et al. 2008; Bennett et al. 2009). A growing body of lit-
erature highlights the importance of considering and
assessing cultural ecosystem services, in addition to pro-
visioning services (Martı´n-Lo´pez et al. 2012, 2013; Her-
na´ndez-Morcillo et al. 2013; Oteros-Rozas et al. 2014;
Dickinson and Hobbs 2017). Cataloguing the complete
suite of values marine ecosystems produce is a crucial step
in managing in a way that both protects crucial benefits and
better attends to trade-offs among the diverse values and
priorities of coastal communities (Loomis and Paterson
2014).
Provisioning services, such as clean water, food, and
income, are essential for providing the basic necessities of
life, maintaining security, and protecting human health
(Millennium Ecosystem Assessment 2005). As a country
follows a development trajectory, human dependence on
provisioning services tends to decrease, while dependence
on cultural ecosystem services increases (Guo et al. 2010).
Unlike provisioning services, which may be replaced by
technical innovation or trade as they are degraded, cultural
services are not as readily replaced (Millennium Ecosystem
Assessment 2005). Cultural ecosystem services are more
likely to be co-produced through the interactions between
people and their environment, resulting in a tight coupling
between the cultural benefits of ecosystems and people’s
held values and preferences (Russell et al. 2013; Dickinson
and Hobbs 2017). Cultural services are also reflective of
people’s environmental decision-making (Martı´n-Lo´pez
et al. 2013), and can improve human health and well-being
through personal and community connections to natural
systems (Russell et al. 2013). Thus, it is critically important
to account for and assess both provisioning and cultural
values if marine management is to preserve both the basic
necessities of life provided by fisheries, as well as socio-
cultural value that connects people and the sea.
In fisheries, resource exploitation by humans can sig-
nificantly affect system structure and functioning, and
the long-term sustainability of human–resource
impact
interactions (Basurto et al. 2013; Partelow and Boda 2015).
Fisheries provide many valuable benefits to coastal com-
munities, yet their sustainability is threatened by overex-
ploitation, pollution, and environmental variability, among
other stressors (Be´ne´ 2006; Halpern et al. 2012). Tradi-
tional fisheries management focuses primarily on fisheries
yield as a product of ecological processes and driver of
economic benefits, and has come a long way in acknowl-
edging and understanding the heterogeneity of ecological
systems. However, a parallel understanding of variety
within social systems is often missing (St. Martin et al.
2007). Given the deep and complex ways in which people
interact with marine ecosystems (Villasante et al. 2013),
particularly through fisheries, the focus of traditional fish-
eries management is too narrow and overlooks the many
other ways in which people interact with and derive ben-
efits from marine species and ecosystems. Meeting the
challenge of fisheries management requires moving beyond
assessments solely of environmental variables and species
interactions to develop a better understanding of socio-
cultural values and local knowledge of coastal communi-
ties and fishers (St. Martin et al. 2007; Johnson 2018;
Smith and Basurto 2019).
For small-scale fisheries, our very definitions, typically
centered on technology and harvest, ignore the sociocul-
tural characteristics of these fisheries that set them apart
from other types of fishing (Smith and Basurto 2019). An
ecosystem services approach can illuminate important
connections between people and nature and help untangle
complex interactions shaping small-scale fishery systems.
On the Gulf of California coast of Baja California Sur,
Mexico, the Town of Loreto relies on fishing and tourism
to support the local economy. These activities are primarily
focused on the marine park that the town hosts, Loreto Bay
National Park. The national park is home to many species,
including the Mexican chocolate clam, Megapitaria
squalida. The clam is one of the top species harvested by
biomass in Loreto (Pellowe and Leslie 2017), and is a local
culinary specialty with a rich history of use. As is the case
for many fished species, fisheries management of Mexican
chocolate clams in Loreto Bay National Park focuses on
the maximization of fisheries and economic yield. How-
ever, based on the importance of Mexican chocolate clams
to local
(Pellowe and Leslie 2019), we
hypothesize that
the relationship between people and
Mexican chocolate clams in the Loreto region is more
multi-dimensional than is currently captured by fisheries
management.
livelihoods
This exploratory study presents a novel approach for
assessing community values of a single fished species.
Using household surveys, this study elicits data on the suite
of ecosystem services provided by Mexican chocolate
clams to households in this region, using a set of values
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adapted from previous studies of ecosystem services
(Rolston and Coufal 1991; Reed and Brown 2003; Mil-
lennium Ecosystem Assessment 2005; Raymond and
Brown 2006). In addition to assessing the range of provi-
sioning and cultural values that Mexican chocolate clams
provide to households in Loreto, we also assess community
perceptions of change related to the clams, since percep-
tions of change shape people’s environmental decision-
making and can help to illuminate priorities for manage-
ment (Gobster et al. 2007). Finally, we explore how fishery
management might better account for trade-offs among
varied community values and priorities.
MATERIALS AND METHODS
Location of study
The Town of Loreto, Baja California Sur, Mexico, lies
along the sea between the Sierra de la Giganta Mountains
and the Gulf of California (Fig. 1). Loreto is home to
roughly 19 000 people, and the town’s economy depends
on fisheries and tourism centered around the marine park it
hosts (Instituto Nacional de Estadı´stica y Geografı´a, INEGI
2017). Loreto Bay National Park (LBNP) is one of the
largest marine protected areas in Mexico with an area of
2065 km2. The park contains varied marine and estuarine
habitat types, including rocky reefs, seagrass beds, man-
groves, and sandy habitats, and hosts a variety of permitted
including SCUBA diving, snorkeling, whale
activities,
watching, wildlife viewing, kayaking, and commercial and
sport fishing of select species (Comisio´n Nacional de A´ reas
Naturales Protegidas 2019). The waters of LBNP are home
to 800 marine species, including the Mexican chocolate
clam, M. squalida (Fig. 2). Mexican chocolate clams are
soft-sediment burrowers that inhabit sandy-bottom habitat
from the intertidal to depths of 160 m (Keen 1971). In
Loreto Bay, Mexican chocolate clams are an important
source of food and income for local fishing communities;
they are among the top 5 species harvested by total bio-
mass, and among the top 10 by total value (Pellowe and
Leslie 2017).
Mexican chocolate clams are in demand year-round,
sometimes despite seasonal harvest bans. The clams are a
long-standing culinary tradition in the region, headline the
menu of local restaurants, and are the focus of an annual
gastronomic festival held on Loreto’s waterfront. The clam
also serves as a symbol of community pride and connection
to the sea; murals around Loreto Bay depict smiling clams
reminding locals to fish responsibly. For many families in
the region, Mexican chocolate clams provide supplemen-
tary food and income in times of limited resources, and
serve as a safeguard against scarcity.
Surveys
From February to May 2019, we carried out 48 surveys
with residents of Loreto, Baja California Sur, Mexico to
explore community perspectives on a range of ecosystem
services. Prior to survey administration, questions were
carefully reviewed,
translated, and pretested with local
volunteers to ensure the validity and clarity of questions in
both English and Spanish (Groves et al. 2011). Surveys
with less than 25% of questions completed (12 or fewer
questions answered out of 48 total questions) were
removed from the sample. Forty-two surveys were inclu-
ded in subsequent analyses. The participant population
included adult community members (at least 18 years of
age) of any occupation, residing in Loreto, Baja California
Sur, Mexico at least 6 months of the year. Since Loreto has
a large community of non-Mexican expat residents and
Mexican nationals who are not originally from Loreto, the
participant population included Mexican nationals origi-
nally from Loreto (Loretanos), other Mexican nationals
who reside in Loreto, and nationals of other countries who
reside in Loreto. Survey participants were recruited via
purposive sampling of contacts established during previous
fieldwork in the region. Sampling excluded residents with
known economic dependence on the fishery (e.g., fishers),
but included residents of Loreto thought to value Mexican
chocolate clams based on their interest in our previous
research. Participants were asked to answer survey ques-
tions from the perspective of their entire household, even if
they themselves were not heads of household.
Due to variable literacy rates in the region, participants
had the option of taking the survey themselves or having
survey questions read aloud to them and their responses
recorded by the researcher. Of 48 total surveys adminis-
tered, 38 participants elected to take the survey themselves,
and 10 elected to have the survey administered to them.
Participants who took the survey themselves were less
likely to complete it (32 of 38 surveys completed), as
compared to participants who elected to have the survey
administered to them by the researcher (10 out of 10 sur-
veys completed). Informed consent was obtained from all
participants prior to survey administration. Surveys were
conducted in both Spanish and English. The survey
instrument was written in both languages, allowing par-
ticipants to read and respond in their preferred language.
For surveys administered by the researcher, participants
had the option to choose their preferred language for
questions and responses. Each survey took approximately
10–20 min to complete. All procedures performed in this
study were in accordance with the Ethical Standards of the
Institutional Review Board (University of Maine IRB
Permit # 2018-07-01).
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Fig. 1 Map of Loreto Bay National Park, Baja California Sur, Mexico
Surveys were anonymous and collected information on
the socioeconomic characteristics of households, how fre-
quently members of their household harvest, buy, sell, and
consume Mexican chocolate clams, and changes they have
observed in the availability, market demand, quantity,
time (survey
quality, price, and size of clams over
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Fig. 2 Mexican chocolate clams. Photo by K. E. Pellowe
instrument available as Supplementary Material). Partici-
pants were then asked, using a three-item Likert scale
(Likert 1932), to indicate whether they agreed, disagreed,
or neither agreed nor disagreed with a set of statements
(Table 1), each relating to an ecosystem service they and
their household may receive from Mexican chocolate
clams. Participants could also elect not to answer any
questions of their choosing. Surveys were designed to elicit
both use and non-use values. Selection of the services
assessed in this study resulted from the compilation and
adaptation of lists of multiple provisioning and cultural
ecosystem services identified in diverse ecosystems (Rol-
ston and Coufal 1991; Reed and Brown 2003; Millennium
Ecosystem Assessment 2005; Raymond and Brown 2006).
The final list of services consisted of values appropriate for
assessment for individual species, and included general
(household level), general (community level), life-sustain-
ing (household level),
life-sustaining (ecological), eco-
nomic (household level), economic (community level),
tourism, subsistence, scientific/learning, recreation, aes-
thetic, future use, historic, cultural,
identity,
community identity, existence, and intrinsic values (see
individual
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591
Table 1 Value statements used to identify participants’ identification of ecosystem service values. Participants’ indication that they agreed with
each statement (as opposed to having disagreed or said that they neither agreed nor disagreed) indicated their belief that Mexican chocolate clams
provide the associated ecosystem service value. Intrinsic value was reverse-coded, where disagreement with the associated statement was taken
as indication that the participant believed that Mexican chocolate clams have intrinsic value
Ecosystem service value assessed
Value statement
General
Chocolate clams are important to me and my family
Chocolate clams are important to my community
Life sustaining
Chocolate clams help sustain me and my family
Economic
Tourism
Subsistence
Scientific/learning
Recreation
Aesthetic
Future use
Historic
Cultural
Individual identity
Community identity
Existence
Intrinsic
Chocolate clams help sustain other animals in Loreto Bay
Chocolate clams provide income to my household
Chocolate clams are important to the local economy
Tourists spend money on chocolate clams when they visit Loreto
Chocolate clams are a tourist attraction of Loreto
Chocolate clams provide some of my family’s basic needs
Chocolate clams are important for scientists to study
Chocolate clams should be protected so that people can learn about them
Chocolate clams are important for recreation, including exercise and fun
It is fun or relaxing to look for or harvest chocolate clams
Chocolate clams are beautiful
Chocolate clams contribute to the unique beauty of Loreto
Chocolate clams should be conserved for future generations
Chocolate clams should be conserved because I or my family might want to harvest them in the future
Chocolate clams are important because of their history in this area
Chocolate clams are important to the culture of this area
Chocolate clams are an important part of who I am as an individual
Chocolate clams are an important part of what it means to be a Loretano or to live in this area
Even when I don’t use chocolate clams, I like to know they are there
Chocolate clams have value primarily because they provide benefits to people (reverse-coded)
Table 1 for full
ecosystem service values).
list of statements used to determine
We defined general value at the household level to be
the overall importance of the clam to the participant’s
household, while general value at the community level was
the overall importance of the clam to the community. Life-
sustaining value at the household level was considered to
be the clams’ provision of life-sustaining benefits to the
participant’s household, including food, income, or secu-
rity, and life-sustaining value at the ecological scale was
the clams’ role in sustaining other species or contributing
to the broader coastal ecosystem. We defined economic
value as the provision of income to the participant’s
household, or to the broader community. Tourism value
was defined as income generated from tourist activities
(e.g., patronizing local restaurants to consume clams), or
increased tourism as a result of the presence of Mexican
chocolate clams in the region. Subsistence value was
considered to be the provision of the participant’s basic
needs, including food and/or income. Scientific/learning
value was considered the potential for learning generated
by the existence of the species, and the possibility for the
advancement of science through studies of the species.
Recreational value was defined as the potential for fun,
relaxation, or enjoyment from harvesting or searching for
clams. Aesthetic value was considered to be the beauty of
the clam itself or its contribution to the overall beauty of
the region. Future use value was defined as the ability of
the participant or their household to harvest clams in the
future, or the knowledge that future generations within the
broader community would be able to harvest clams. His-
toric value was considered to be the importance of the clam
to regional history, and cultural value as the contribution of
the clam to regional culture and practice. We considered
individual identity value to be the importance of the clam
in constructing individual worldview and sense of self.
Community identity value was considered to be the con-
tribution of the clam to a shared sense of what it means to
be a member of the Loreto community. Existence value
was considered to be the satisfaction of knowing that the
clam exists in Loreto Bay National Park, and intrinsic
value was the belief that Mexican chocolate clams have
inherent value, outside of human interaction.
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The ecosystem services of tourism, scientific/learning,
recreation, and aesthetic values were assessed each with
two survey questions, and an average was taken from the
two responses to determine whether participants identified
these values from Mexican chocolate clams. Additionally,
we assessed the following values both at the individual and
the community level through two separate questions: gen-
eral, economic, future use, and identity. For open-ended
survey questions,
including questions on the nature of
changes observed, and participants’ perspectives on why
changes had occurred, responses were coded into cate-
gories. These categories emerged from analysis of partic-
ipant responses by the researcher who conducted the
surveys. Responses that were cited by two or more par-
ticipants were considered response categories.
We analyzed separately the responses of three partici-
pant groups: Mexican nationals originally from Loreto;
Mexican nationals not originally from Loreto; and foreign
nationals. Maps and figures were created using R statistical
software (R Core Team 2020) and the R packages ggplot2,
ggspatial, rnaturalearth, and wesanderson (Wickham 2016;
South 2017; Karthik and Wickham 2018; Dunnington
2020).
RESULTS
English (48%). Overall, 19% of survey participants were
Mexican nationals originally from Loreto or Loretanos.
Participants varied in the average length of time they had
lived in Loreto, their mean monthly household income,
mean household size, and reported frequency of use of
Mexican chocolate clams (Table 2).
None of the participants of any group reported clam-
ming as a source of household income, despite Loretano
participants reporting selling chocolate clams 7.4 times per
year on average. 67% of Loretano participants responded
that they had harvested Mexican chocolate clams at some
point in the past. 50% of other Mexican participants and
25% of foreign participants reported harvesting Mexican
chocolate clams at some point in the past. The participants
originally from Loreto who indicated that they regularly
harvest or used to regularly harvest Mexican chocolate
clams had 13.3 years of harvest experience, on average,
with a range of 5 to 20 years of experience. Loretano
participants also had, on average, 34.6 years of experience
buying Mexican chocolate clams, with a range of experi-
ence from 1 to 82 years. Mexican participants not origi-
nally from Loreto reported an average of 4.1 years of
harvest experience and 15.7 years of buying experience,
while foreign participants reported 8.7 years of harvest
experience and 8.4 years of buying experience, on average.
Perceptions of change
Participant demographics and use behavior
Of 42 survey participants whose responses were included
in the final analyses, 52% were Mexican nationals (of
which, 40% were originally from Loreto) and 48% were
nationals of other countries, including the United States,
Canada, Germany, Australia, Chile, Switzerland, and the
United Kingdom. These numbers also correspond to the
number of surveys conducted in Spanish (52%) and
83% of Loretanos surveyed, 93% of Mexican participants
not originally from Loreto, and 50% of foreign participants
said they had noticed at least one change over time in terms
of market demand, quantity, quality, size, price, and/or
availability of the species. Observations of change varied
by participant group and type of change (Fig. 3). Differing
levels of observations of change may have been due, in
part, to varying lengths of time spent in the region among
Table 2 Demographic characteristics and reported use behavior by participant group
Demographic characteristics and use behavior
Participant group
Mexican nationals from
Loreto
Mexican nationals from
elsewhere
Foreign
nationals
n
Mean time in Loreto (years)
Mean monthly household income (US Dollars)
Mean household size (number of people)
Reported harvest of clams (times per year)
Reported purchase of clams (times per year)
Reported sales of chocolate clams (times per year)
Reported consumption of chocolate clams (times per
8
42
654
3.9
4.0
10.9
7.4
7.6
14
17
917
2.4
14.5
19.7
0.0
20.8
20
8
3924
2.0
0.4
17.7
0.0
19.1
year)
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Fig. 3 Survey participants have observed changes in Mexican chocolate clams, including in market demand, availability, price, quantity and/or
quality, and size of individual clams. Percentages of survey participants who have observed these changes vary by type of change and participant
group. Participant groups include Mexican nationals originally from Loreto (n = 8), Mexican nationals not originally from Loreto (n = 14), and
foreign nationals (n = 20). The most highly cited changes were in market demand and availability of clams, followed by price, quantity and/or
quality, and size of clams
Fig. 4 Survey participants who provided qualitative descriptions of changes observed in Mexican chocolate clams largely agreed on the
directionality of change. Participants who provided information on the nature of changes observed included Mexican nationals originally from
Loreto (n = 8), Mexican nationals not originally from Loreto (n = 14), and foreign nationals (n = 20)
the three participant groups. Participants largely agreed on
the directionality of changes (Fig. 4), and reported that
demand for and price of clams had increased over time,
while the availability, quantity and/or quality, and average
size had decreased.
Despite the fact
that most participants had noticed
qualitative changes related to the market demand, quantity,
quality, size, price, and/or availability of Mexican choco-
late clams, none of the participants in any group said that
the changes they had observed had directly affected their
household. When asked whether they had any thoughts on
why these changes had occurred, participant responses fell
into four main categories, in the order of most to least
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Table 3 Participant perspectives on why changes that have occurred fell into four primary categories, in order of most to least cited: fisheries
management, overfishing, increased demand, and environmental change
Do you have any thoughts on why these changes have occurred?
Response category
Times cited
Illustrative quote(s)
Fisheries management
Overfishing
Increased demand
Environmental change
9
9
4
3
‘‘It’s because of poor management of the clam’’,
‘‘It’s because of the cooperatives that use a compressor to harvest’’
‘‘The uncontrolled exploitation’’
‘‘It’s a tourist town, and this is the dish that represents our town’’;
‘‘There is more consumption now’’; ‘‘Supply and demand-
there are more people in Loreto now’’
‘‘The temperature—sometimes it’s too warm’’
cited: fisheries management,
overfishing,
demand, and environmental change (Table 3).
increased
Ecosystem service values
All but one ecosystem service value assessed was reported
to be provided by chocolate clams to survey participants:
this was personal economic value (assessed with the
statement,
‘‘Chocolate clams provide income to my
household’’). This is consistent with the lack of reported
income from clamming among those surveyed. Relatedly,
none of the participants originally from Loreto, 7% of
participants from elsewhere in Mexico, and none of the
foreign participants reported that their household receives
life-sustaining value from Mexican chocolate clams
(assessed with the statement, ‘‘Chocolate clams help sus-
tain me and my family’’), and 33% of Loretano partici-
pants, 14% of Mexican participants not originally from
Loreto, and none of the foreign participants reported
receiving subsistence value (assessed with the statement,
‘‘Chocolate clams provide some of my family’s basic
needs’’). However, several participants noted that while
their household does not receive life-sustaining or subsis-
tence value from Mexican chocolate clams, many other
households in the community do. In fact, all participants
originally from Loreto, all Mexican participants not origi-
nally from Loreto, and 90% of foreign participants agreed
that Mexican chocolate clams are important to the com-
munity of Loreto (assessed with the statement, ‘‘Chocolate
clams are important to my community’’). Participants also
agreed that chocolate clams help to shape the community
identity of Loreto; 100% of Loretano participants, 79% of
Mexican participants not originally from Loreto, and 60%
of foreign participants agreed with the statement, ‘‘Cho-
colate clams are an important part of what it means to be a
Loretano or to live in this area.’’ Perhaps unsurprisingly,
more participants originally from Loreto than participants
from elsewhere felt that the clam also played a role in
shaping their individual identity; 50% of Loretano partic-
ipants agreed with the statement, ‘‘Chocolate clams are an
important part of who I am as an individual,’’ as compared
to 7% of Mexican participants not originally from Loreto,
and none of foreign participants.
While participants surveyed reported that their house-
receive economic value from Mexican
holds do not
(0% agreement with the statement,
chocolate clams
‘‘Chocolate clams provide income to my household’’ across
all three participant groups), nearly all agreed that the
clams provide economic value to the community (100% of
Loretano participants, 86% of Mexican participants not
originally from Loreto, and 100% of foreign participants
agreed with the statement, ‘‘Chocolate clams are important
to the local economy’’). Additionally, nearly all partici-
pants agreed that the clam contributes to local tourism
(100% Loretano, 93% other Mexican participants, and 83%
foreign participant agreement with the two statements,
‘‘Tourists spend money on chocolate clams when they visit
Loreto’’ and ‘‘Chocolate clams are a tourist attraction of
Loreto’’). Additional ecosystem services with high levels
of agreement among survey participants include cultural
value (100%, 100%, and 95% agreement among the three
groups, respectively, with the statement, ‘‘Chocolate clams
are important to the culture of this area’’), historic value in
the region (100%, 93%, and 75% agreement among the
three groups, respectively, with the statement, ‘‘Chocolate
clams are important because of their history in this area’’),
existence value (100%, 100%, and 80% agreement among
the three groups, respectively, agreement with the state-
ment ‘‘Even when I don’t use chocolate clams, I like to
know they are there’’), and future community use value
(100%, 86%, and 85% agreement among the three groups,
respectively, agreement with the statement, ‘‘Chocolate
clams should be conserved for future generations’’). A full
report of values assessed and responses for each participant
group can be found in Fig. 5.
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595
Fig. 5 Ecosystem services with the highest levels of agreement among participants across participant groups include general community value,
economic community value, cultural value, and tourism value. Ecosystem services with the lowest levels of agreement among participants across
groups include life-sustaining household, economic household, and subsistence values. For values with two corresponding statements in surveys
(tourism, scientific and learning, recreation, and aesthetic values), response percentage represents the average response for the two statements.
For intrinsic value, which was reverse-coded, responses have been reversed for ease of comparison with other values. Participant groups include
Mexican nationals originally from Loreto (n = 8), Mexican nationals from elsewhere (n = 14), and foreign nationals (n = 20)
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DISCUSSION
Mexican chocolate clams provide a host of ecosystem
services to households in the Loreto region that include
both provisioning and cultural services. As bivalves, the
clams also provide regulating services in the form of water
filtration (Millennium Ecosystem Assessment 2005). The
multitude of ecosystem services provided by the clams are
not explicitly recognized in fisheries management; current
management focuses on ecological and economic factors.
We find that in addition to the provisioning services pro-
duced by the fishery, households in the Loreto region
derive many cultural ecosystem services from Mexican
chocolate clams. Community members agree that in addi-
tion to economic value generated by the Mexican chocolate
clam fishery, this species also contributes to tourism, sci-
entific/learning,
recreation, aesthetic, historic, cultural,
community identity, and existence values. This finding is
consistent with other ecosystem service valuation studies
that have found that high percentages of local stakeholders
recognize their local ecosystems’ capacity to produce
diverse ecosystem services including social and cultural
values (Martı´n-Lo´pez et al. 2012; Oteros-Rozas et al.
2014). Community members report receiving many types
of ecosystem services from the species, which supports our
hypothesis that Mexican chocolate clams provide a diver-
sity of both provisioning and cultural values to the com-
munity of Loreto. None of the participants in the survey
reported relying on income from clam harvest, yet nearly
half of all participants indicated that they have collected
Mexican chocolate clams at some point in the past, and a
third said that they collect clams at least once per year. This
indicates that residents of Loreto who are not fishers also
participate in the harvest of Mexican chocolate clams, and
that the fishery itself is much more heterogeneous than
accounted for by current fisheries management. This find-
ing is supported by the previous work demonstrating that
multiple fisher types harvest Mexican chocolate clams in
Loreto, and that marginalized fisher groups are excluded
from fisheries management processes (Pellowe and Leslie
2019).
Fisheries management decisions have consequences not
only for fishers directly engaged in resource extraction, but
also for the broader coastal community. In communities
like Loreto, where relatively few individuals engage in
regular harvest of the Mexican chocolate clam as com-
mercial fishers (Pellowe and Leslie 2019), the values pro-
vided by the species to the broader coastal community are
diverse and significant. Accounting for diverse ecosystem
services and community perspectives in management
requires first, identifying the values and aims of the com-
munity, and then, creating management that accounts for
trade-offs and conflicts among multiple priorities (Loomis
Ambio 2021, 50:586–600
and Paterson 2014). Fisheries management in Baja Cali-
fornia Sur is improving in its ability to integrate the
heterogeneity of ecological systems into policies, but the
sociocultural richness of fisheries systems and coastal
communities remains largely unaccounted for (see for
example, Finkbeiner and Basurto 2015; Leslie et al. 2015).
An ecosystem service assessment like what we present here
can help inform ecosystem-based management that better
incorporates
and
McLeod 2005).
sociocultural
(Rosenberg
richness
Cultural ecosystem services underpin stakeholders’
values and preferences (Russell et al. 2013). However,
translating ecosystem service assessments into policy has
many challenges, including reconciling the legitimacy of
diverse knowledge types, and finding pathways to turn such
knowledge into action (Posner et al. 2016). The purposive
inclusion of cultural ecosystem services in these broader
assessments is one way to ensure that the sociocultural
richness of human–nature interactions as well as the
knowledge and values of diverse stakeholders are incor-
porated into management (Chan et al. 2012a; Loomis and
Paterson 2014; Scholte et al. 2015). Previous work
assessing diverse ecosystem services for management has
largely focused on terrestrial environments (e.g., Martı´n-
Lo´pez et al. 2012; Oteros-Rozas et al. 2014; Dickinson and
Hobbs 2017), but there is growing interest in the utility of
such approaches for integrating diverse values into the
management of marine systems (Rees et al. 2010; Klain
and Chan 2012; Loomis and Paterson 2014; Gregr et al.
2020).
Stakeholders’ perceptions of change also provide valu-
able information about changes in the delivery of benefits
that can help to identify management priorities (Martı´n-
Lo´pez et al. 2012, 2013; Oteros-Rozas et al. 2014). In this
study, perceptions of change provide important insight into
how community members may make decisions regarding
the clams and resulting marine conservation outcomes,
since stakeholder perceptions of ecological conditions
underpin environmental behavior (Gobster et al. 2007).
Stakeholders’ perceptions of change have been important
to understand temporal shifts in other marine populations
and ecosystems in the Gulf of California (Sala et al. 2004;
Sa´enz-Arroyo et al. 2005a, b, 2006). A study of fisher
perceptions of trends in the abundance of the Gulf grouper
(Mycteroperca jordani)
revealed dramatic declines in
abundance that occurred prior to the collection of fisheries
data in the Gulf of California, and were thus unaccounted
for in fisheries management (Sa´enz-Arroyo et al. 2005b).
Alongside fisheries statistics and surveys, fishers’ obser-
vations of change over time have also revealed shifts in the
species composition of coastal ecosystems of the Gulf of
California, from mostly large, long-lived species in higher
trophic levels to mostly small, short-lived species in lower
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597
trophic levels (Sala et al. 2004). Perceptions of change in
marine environments are particularly valuable where long-
term monitoring data are not available, as they contribute
critical information for setting appropriate management
targets (Sala et al. 2004).
reduced availability,
Participants in this study reported changes in Mexican
chocolate clams over time in the form of increased market
demand, higher prices,
reduced
quantity and quality, and smaller size. Changes were
reported at higher rates by Mexican nationals than foreign
nationals surveyed, perhaps because the Mexican nationals
surveyed had lived in Loreto longer and had more years of
experience harvesting and buying clams. Observed changes
in demand, price, availability, quantity, quality, and size of
clams affect the delivery of ecosystem services and reveal
potential priorities for management. Survey participants
proposed several possible causes of observed changes
increased
including fisheries management, overfishing,
demand for chocolate clams, and environmental change.
Although survey participants were predominantly non-
fishers, the nature of their observations of change and
attributed causes of change echo those reported by har-
vesters of the Mexican chocolate clam in previous studies
(Pellowe and Leslie 2019). Harvesters reported declines in
Mexican chocolate clam populations over time, which they
attributed to increased fishing effort resulting from changes
in fisheries management
(Pellowe and Leslie 2019).
Stakeholders’ observations of change provide information
on potential shifts in clam populations and the ecosystem
services they generate that is critical for effective design
and implementation of management strategies. Such stud-
ies are particularly important in data-limited fisheries, like
the Mexican chocolate clam fishery (Pellowe and Leslie
2020), where long-term abundance data may not be
available.
While survey participants did not feel acutely impacted
by the changes they had observed, they believed other
households in their community were affected. Similarly,
community members we surveyed acknowledged the
importance of the services provided by Mexican chocolate
clams to the broader community of Loreto, even if they
themselves did not feel that they received every service.
Survey participants were more likely to report the delivery
of both provisioning and cultural ecosystem services at the
community level, especially for the values of general
importance, life-sustaining value, economic value, future
use value, and identity value, than they were to report the
delivery of the same services at the individual or household
level. Community members in Loreto recognize the com-
munity value of the Mexican chocolate clam and the
impacts of change on the delivery of ecosystem services at
the community level.
Of the values assessed in this study, the most important
ecosystem services that the Mexican chocolate clam pro-
vides to the community of Loreto include economic,
tourism, future use, cultural, and existence values. Many
locals recall childhood memories of collecting Mexican
chocolate clams during family trips to the beach, learning
to dig for clams in the sand with their toes, or holding their
breath to grab a clam from the ocean floor (Pellowe
unpublished data). Survey participants originally from
Loreto were more likely to agree that the clam contributes
to their individual identity than participants from else-
where. However, most participants surveyed, regardless of
their place of origin, agreed that the clam is an important
it mean to be a member of the Loreto
part of what
community.
Considering the wide recognition of cultural ecosystem
services provided to Loreto households, and the clam’s
contribution to local identity, the Mexican chocolate clam
may be considered a cultural keystone species. Cultural
keystone species are ‘‘culturally salient species that shape
in a major way the cultural identity of a people’’ (Garibaldi
and Turner 2004, p. 4). Such species are defined by the key
role they play in defining cultural identity and are char-
acterized by their high cultural significance. Cultural key-
stone species are also marked by their provision of
important ecosystem services, particularly cultural value
(Butler et al. 2012). The concept of the cultural keystone
species highlights the importance of communities’ rela-
tionship to place, and the conservation status of these
species may be a starting point for identifying management
priorities (Garibaldi and Turner 2004). In the Torres Strait
Islands in Australia, two cultural keystone species, turtles
and dugongs, were catalysts for a shift towards adaptive co-
management, which involves the formal sharing of power
between local stakeholders and regional fisheries man-
agers, and the formal
local ecological
knowledge into resource governance (Butler et al. 2012).
the value of cultural keystone
Their findings highlight
species as catalysts for the integration of local knowledge
into marine resource governance to enhance fisheries pol-
icy and protect the future delivery of ecosystem services
(Butler et al. 2012).
integration of
In Loreto, embracing Mexican chocolate clams as a
cultural keystone species may facilitate greater community
participation in marine resource management decisions that
is reflective of the heterogeneity among those involved in
the fishery, both directly and indirectly. It may also result
in the integration of local ecological knowledge into future
policy decisions including accounting for community and
fisher observations of change and investigating possible
causes of change in order to identify management priori-
ties. Managing for Mexican chocolate clams’ diverse val-
include protecting habitat, regulating water
ues might
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Ambio 2021, 50:586–600
quality, and privileging low-impact fishing practices to
safeguard the future delivery of both provisioning and
cultural ecosystem services. These practices would serve
not only to conserve Mexican chocolate clams and the
benefits they provide to Loreto households, but would also
benefit many other marine species in Loreto’s nearshore
waters including fish, rays, octopus, and other molluscs.
While this study provides important
insights about
community members’ perceptions of change in the clam
fishery and the provisioning and cultural ecosystem ser-
vices that Mexican clams provide to households in the
Loreto region, a larger sample size of survey participants
would be needed to generalize our findings to the broader
population of Loreto residents. A future study with a larger
number of participants, systematically recruited to ensure
representativeness of the socioeconomic makeup of Loreto
households, could confirm whether our findings apply more
broadly to the general population. Our participant pool
consisted of many households of middle and upper
socioeconomic status owing to the fact that nearly half of
the participants surveyed were expats and nationals of the
United States, Canada, and the European Union. The
skewed socioeconomic characteristic of the participant
pool in this study is a result of the purposive sampling
method used to recruit participants. Future work should
include surveys conducted with a more representative and
wider participant pool
in order to verify whether our
findings hold true for Loreto residents more broadly. To
investigate further the clam’s role in shaping community
the
identity in Loreto as a cultural keystone species,
inclusion of more participants originally from Loreto
should be prioritized in future work. The participants in
this study did not rely on clams as a source of income,
sustenance, or other basic needs, and we anticipate that the
inclusion of more low-income households would lead to
higher reporting of these services. Additionally, future
work should include an expansion of the range of responses
to value statements, in order to facilitate comparisons in the
strength of participant response to different values. The
three-item Likert scale employed in this study to assess
survey participants’ agreement or disagreement with
ecosystem service value statements could be expanded to a
Likert scale that includes a greater range of degrees of
agreement and disagreement. This would produce a richer
understanding of participants’ experience of diverse values,
as well as the relative importance of provisioning and
cultural ecosystem services.
The social and cultural values of species and ecosystems
shape human–nature interactions, yet are often overlooked
in decision-making and design of marine management
(Chan et al. 2011). If such values are not explicitly
understood and accounted for, they are likely to be poorly
represented in natural resource policy (Klain and Chan
2012). Assessing these values and incorporating them into
management creates robust policies that protect the future
provision of valuable ecosystem services. Managing for a
narrow set of ecosystem services may not only ignore other
important values that a species or ecosystem provides to
human communities, but can also reduce the fishery’s
capacity to cope with future disturbance (Gordon et al.
2008; Bennett et al. 2009). Understanding the full suite of
ecosystem services provided by fished species is a critical
step in designing resource management that protects cru-
cial benefits, while considering trade-offs among the
diverse values and priorities of coastal communities.
Acknowledgements We thank Yong Chen, Carla Guenther, Joshua
Stoll, and Bridie McGreavy for their feedback on earlier conceptu-
alizations of this paper. We thank Linda Ramirez and Eduardo
Murillo for their help reviewing, translating, and pretesting survey
questionnaires. We also thank Alfredo Baeza for logistical assistance
in the field, and the community members of the Loreto region for their
participation in this study. We thank Melissa Britsch for her helpful
feedback, which helped to improve the clarity of the paper. We also
thank two anonymous reviewers for their thoughtful and constructive
feedback, which significantly improved the paper. Funding was pro-
vided by the US National Science Foundation (Grant Number DEB
1632648 to HL).
Funding Open access funding provided by Stockholm University.
Open Access This article is licensed under a Creative Commons
Attribution 4.0 International License, which permits use, sharing,
adaptation, distribution and reproduction in any medium or format, as
long as you give appropriate credit to the original author(s) and the
source, provide a link to the Creative Commons licence, and indicate
if changes were made. The images or other third party material in this
article are included in the article’s Creative Commons licence, unless
indicated otherwise in a credit line to the material. If material is not
included in the article’s Creative Commons licence and your intended
use is not permitted by statutory regulation or exceeds the permitted
use, you will need to obtain permission directly from the copyright
holder. To view a copy of this licence, visit http://creativecommons.
org/licenses/by/4.0/.
REFERENCES
Basurto, X., S. Gelcich, and E. Ostrom. 2013. The social–ecological
system framework as a knowledge classificatory system for
benthic small-scale fisheries. Global Environmental Change 23:
1366–1380. https://doi.org/10.1016/j.gloenvcha.2013.08.001.
Be´ne´, C. 2006. Small-scale fisheries: Assessing their contribution to
rural livelihoods in developing countries. FAO Fisheries Circu-
lar No. 1008: 57.
Bennett, E.M., G.D. Peterson, and L.J. Gordon. 2009. Understanding
relationships among multiple ecosystem services. Ecology
Letters 12: 1394–1404. https://doi.org/10.1111/j.1461-0248.
2009.01387.x.
Butler, J.R.A., A. Tawake, T. Skewes, L. Tawake, and V. McGrath.
2012. Integrating traditional ecological knowledge and fisheries
management in the Torres Strait, Australia: The catalytic role of
123
(cid:2) The Author(s) 2020
www.kva.se/en
Ambio 2021, 50:586–600
599
turtles and dugong as cultural keystone species. Ecology and
Society 17: 34. https://doi.org/10.5751/ES-05165-170434.
Chan, K.M.A., J. Goldstein, T. Satterfield, N. Hannahs, K. Kikiloi, R.
Naidoo, N. Vadeboncoeur, and U. Woodside. 2011. Cultural
services and non-use values. In Natural capital: Theory and
practice of mapping ecosystem services, ed. P. Kareiva, H.
Tallis, T.H. Ricketts, G.C. Daily, and S. Polasky, 206–228.
Oxford: Oxford University Press.
Chan, K.M.A., T. Satterfield, and J. Goldstein. 2012a. Rethinking
ecosystem services to better address and navigate cultural values.
Ecological Economics 74: 8–18. https://doi.org/10.1016/j.
ecolecon.2011.11.011.
Chan, K.M.A., A.D. Guerry, P. Balvanera, and S. Klain. 2012b.
in ecosystem services? A
engagement. BioScience 62:
Where are cultural and social
framework for
744–756.
constructive
Comisio´n Nacional de A´ reas Naturales Protegidas. 2019. Parque
Nacional Bahı´a de Loreto. Gobierno de Me´xico.
Daily, G.C., T. So¨derqvist, A. Aniyar, K. Arrow, P. Dasgupta, P.R.
Ehrlich, C. Folke, A. Jansson, et al. 2000. The value of nature
and the nature of value. Science 289: 395–396.
Dickinson, D.C., and R.J. Hobbs. 2017. Cultural ecosystem services:
Characteristics, challenges and lessons for urban green space
research. Ecosystem Services 25: 179–194. https://doi.org/10.
1016/j.ecoser.2017.04.014.
Dunnington, D. 2020. ggspatial: Spatial data framework for
ggplot2. R package version 1.1.4.
Finkbeiner, E.M., and X. Basurto. 2015. Re-defining co-management
to facilitate small-scale fisheries reform: An illustration from
northwest Mexico. Marine Policy 51: 433–441. https://doi.org/
10.1016/j.marpol.2014.10.010.
Garibaldi, A., and N. Turner. 2004. Cultural keystone species:
Implications for ecological conservation and restoration. Ecol-
ogy and Society 9: 1. https://doi.org/10.1146/annurev-pharmtox-
061008-103038.
Gobster, P.H., J.I. Nassauer, T.C. Daniel, and G. Fry. 2007. The
shared landscape: What does aesthetics have to do with ecology?
Landscape Ecology 22: 959–972.
Gordon, L.J., G.D. Peterson, and E.M. Bennett. 2008. Agricultural
modifications of hydrological flows create ecological surprises.
Trends in Ecology and Evolution 23: 211–219.
Gregr, E.J., V. Christensen, L. Nichol, R.G. Martone, R.W. Markel,
J.C. Watson, C.D.G. Harley, E.A. Pakhomov, et al. 2020.
Cascading social–ecological costs and benefits triggered by a
recovering keystone predator. Science 368: 1243–1247. https://
doi.org/10.1126/science.aay5342.
Groves, R.M., F.J. Fowler, M.P. Couper, J.M. Lepkowski, E. Singer,
and R. Tourangeau. 2011. Survey methodology, 2nd ed. Hobo-
ken: Wiley.
Guo, Z., L. Zhang, and Y. Li. 2010. Increased dependence of humans
on ecosystem services and biodiversity. PLoS ONE 5: e13113.
Halpern, B.S., C. Longo, D. Hardy, K.L. McLeod, J.F. Samhouri,
S.K. Katona, K. Kleisner, S.E. Lester, et al. 2012. An index to
assess the health and benefits of the global ocean. Nature 488:
615–620. https://doi.org/10.1038/nature11397.
Herna´ndez-Morcillo, M., T. Plieninger, and C. Bieling. 2013. An
empirical
review of cultural ecosystem service indicators.
Ecological Indicators 29: 434–444. https://doi.org/10.1016/j.
ecolind.2013.01.013.
Instituto Nacional de Estadı´stica y Geografı´a, INEGI. 2017. Anuario
Estadı´stico y Geogra´fico de Baja California Sur 2017. https://
doi.org/10.7283/T5MW2F2D.
Johnson, D. 2018. The values of small-scale fisheries. In Social
wellbeing and the values of small-scale fisheries, ed. D.S.
Johnson, T.G. Acott, N. Stacey, and J. Urquhart, 1–21.
Amsterdam: Springer.
Karthik, R., and H. Wickham. 2018. wesanderson: A Wes Anderson
Palette Generator. R package version 0.3.6.
Keen, A.M. 1971. Sea shells of
tropical West America: Marine
mollusks from Baja California to Peru. Stanford: Stanford
University Press.
Klain, S., and K.M.A. Chan. 2012. Navigating coastal values:
Participatory mapping of ecosystem services for spatial plan-
ning. Ecological Economics 82: 104–113.
Leslie, H.M., X. Basurto, M. Nenadovic, L. Sievanen, K.C.
Cavanaugh, J.J. Cota-Nieto, B.E. Erisman, E. Finkbeiner, et al.
2015. Operationalizing the social–ecological systems framework
to assess sustainability. Proceedings of the National Academy of
the United States of America 112: 5979–5984.
Sciences of
https://doi.org/10.1073/pnas.1414640112.
Likert, R. 1932. A technique for the measurement of attitudes.
Archives of Psychology 140: 1–55.
Loomis, D.K., and S.K. Paterson. 2014. The human dimensions of
coastal ecosystem services: Managing for social values. Ecolog-
ical Indicators 44: 6–10. https://doi.org/10.1016/j.ecolind.2013.
09.035.
Martı´n-Lo´pez, B., I. Iniesta-Arandia, M. Garcı´a-Llorente, I. Palomo,
I. Casado-Arzuaga, D.G. Del Amo, E. Go´mez-Baggethun, E.
Oteros-Rozas, et al. 2012. Uncovering ecosystem service
ONE 7:
PLoS
bundles
e38970. https://doi.org/10.1371/journal.pone.0038970.
preferences.
through
social
Martı´n-Lo´pez, B., E. Go´mez-Baggethun, and M. Garcı´a-Llorente.
2013. Trade-offs across value domains in ecosystem services
assessment. Ecological Indicators 37: 220–228.
Millennium Ecosystem Assessment. 2005. Millennium Ecosystem
Assessment: Ecosystems and human well-being. World Health.
https://doi.org/10.1196/annals.1439.003.
Oteros-Rozas, E., B. Martı´n-Lo´pez, J.A. Gonza´lez, T. Plieninger,
C.A. Lo´pez, and C. Montes. 2014. Socio-cultural valuation of
ecosystem services in a transhumance social–ecological net-
work. Regional Environmental Change 14: 1269–1289. https://
doi.org/10.1007/s10113-013-0571-y.
Partelow, S., and C. Boda. 2015. A modified diagnostic social–
ecological system framework for lobster fisheries: Case imple-
mentation and sustainability assessment in Southern California.
Ocean and Coastal Management 114: 204–217. https://doi.org/
10.1016/j.ocecoaman.2015.06.022.
Pellowe, K.E., and H.M. Leslie. 2017. Seasonal variability shapes
resilience of small-scale fisheries in Baja California Sur, Mexico.
PLoS ONE 12: 1–15. https://doi.org/10.1371/journal.pone.
0182200.
Pellowe, K.E., and H.M. Leslie. 2019. Heterogeneity among clam
harvesters in northwest Mexico shapes individual adaptive
capacity. Ecology and Society 24: 25. https://doi.org/10.5751/
ES-11297-240425.
Pellowe, K.E., and H.M. Leslie. 2020. Size-selective fishing leads to
trade-offs between fishery productivity and reproductive capac-
ity. Ecosphere 11: e03071. https://doi.org/10.1002/ecs2.3071.
Posner, S.M., E. McKenzie, and T.H. Ricketts. 2016. Policy impacts
of ecosystem services knowledge. Proceedings of the National
Academy of Sciences of USA 113: 1760–1765. https://doi.org/10.
1073/pnas.1502452113.
R Core Team. 2020. R: A language and environment for statistical
computing. Vienna: R Foundation for Statistical Computing.
Raymond, C.M., and G. Brown. 2006. A method for assessing
protected area allocations using a typology of landscape values.
Journal of Environmental Planning and Management 49:
797–812.
Reed, P., and G. Brown. 2003. Values suitability analysis: a
methodology for identifying and integrating public perceptions
of forest ecosystem values in national forest planning. Journal of
Environmental Planning and Management 46: 643–658.
(cid:2) The Author(s) 2020
www.kva.se/en
123
600
Ambio 2021, 50:586–600
Rees, S.E., L.D. Rodwell, M.J. Attrill, M.C. Austen, and S.C. Mangi.
2010. The value of marine biodiversity to the leisure and
recreation industry and its application to marine spatial planning.
Marine Policy 34: 868–875. https://doi.org/10.1016/j.marpol.
2010.01.009.
Rolston, H., and J. Coufal. 1991. A forest ethic and multivalue forest
management. Journal of Forestry 89: 35–40.
Rosenberg, A.A., and K.L. McLeod. 2005. Implementing ecosystem-
based approaches to management
the conservation of
ecosystem services. Marine Ecology Progress Series 300:
270–274.
for
Russell, R., A.D. Guerry, P. Balvanera, R.K. Gould, X. Basurto,
K.M.A. Chan, S. Klain, J. Levine, et al. 2013. Humans and
nature: How knowing and experiencing nature affect well-being.
Annual Review of Environment and Resources 38: 473–502.
Sa´enz-Arroyo, A., C.M. Roberts, J. Torre, M. Carin˜o-Olvera, and
R.R. Enrı´quez-Andrade. 2005a. Rapidly shifting environmental
baselines among fishers of the Gulf of California. Proceedings of
the Royal Society B: Biological Sciences 272: 1957–1962.
https://doi.org/10.1098/rspb.2005.3175.
Sa´enz-Arroyo, A., C. Roberts, J. Torres, and M. Carin˜o-Olvera.
2005b. Using fishers’ anecdotes, naturalists observations and
grey literature to reassess marine species at risk: The case of the
Gulf grouper in the Gulf of California, Mexico. Fish and
Fisheries 6: 121–133.
Sa´enz-Arroyo, A., C.M. Roberts, J. Torre, M. Carin˜o-Olvera, and J.P.
Hawkins. 2006. The value of evidence about past abundance:
Marine fauna of the Gulf of California through the eyes of 16th
to 19th century travellers. Fish and Fisheries 7: 128–146. https://
doi.org/10.1111/j.1467-2979.2006.00214.x.
Sala, E., O. Aburto-Oropeza, M. Reza, G. Paredes, and L.G. Lo´pez-
Lemus. 2004. Fishing down coastal food webs in the Gulf of
California. Fisheries 29: 19–25. https://doi.org/10.1577/1548-
8446(2004)29[19:FDCFWI]2.0.CO;2.
Scholte, S.S.K., A.J.A. van Teeffelen, and P.H. Verburg. 2015.
Integrating socio-cultural perspectives into ecosystem service
valuation: A review of concepts and methods. Ecological
Economics 114: 67–78. https://doi.org/10.1016/j.ecolecon.2015.
03.007.
Smith, H., and X. Basurto. 2019. Defining small-scale fisheries and
examining the role of science in shaping perceptions of who and
what counts: A systematic review. Frontiers in Marine Science
6: 236. https://doi.org/10.3389/fmars.2019.00236.
South, A. 2017. rnaturalearth: World Map Data from Natural Earth. R
package version 0.1.0.
St. Martin, K., B.J. McCay, G.D. Murray, T.R. Johnson, and B. Oles.
2007K. Communities, knowledge and fisheries of the future.
International Journal of Global Environmental
Issues 7:
221–239.
Turner, R.K., and G.C. Daily. 2008. The ecosystem services
framework and natural capital conservation. Environmental
and Resource Economics 39: 25–35.
Villasante, S., G. Macho, M. Antelo, D. Rodrı´guez-Gonza´lez, and
M.J. Kaiser. 2013. Resilience and challenges of marine social–
ecological systems under complex and interconnected drivers.
Ambio 42: 905–909. https://doi.org/10.1007/s13280-013-0450-2.
Wickham, H. 2016. ggplot2: Elegant graphics for data analysis. New
York: Springer. https://ggplot2.tidyverse.org.
Publisher’s Note Springer Nature remains neutral with regard to
jurisdictional claims in published maps and institutional affiliations.
AUTHOR BIOGRAPHIES
Kara E. Pellowe (&) is a Postdoctoral Fellow at the Stockholm
Resilience Centre. Her research interests include sustainability sci-
ence, marine conservation, and the dynamics and resilience of marine
social–ecological systems.
Address: Stockholm Resilience Centre, Stockholm University, Kra¨f-
triket 2B, 106 91 Stockholm, Sweden.
Address: Darling Marine Center, University of Maine, 193 Clarks
Cove Road, Walpole, ME 04573, USA.
e-mail: kara.pellowe@su.se
Heather M. Leslie is Director of the Darling Marine Center and
Associate Professor at the University of Maine. Her research interests
include marine conservation science, and the ecology, policy, and
management of coastal marine ecosystems.
Address: Darling Marine Center, University of Maine, 193 Clarks
Cove Road, Walpole, ME 04573, USA.
Address: School of Marine Sciences, University of Maine, Orono,
MA 04469, USA.
e-mail: heather.leslie@maine.edu
123
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| null |
10.1088_1361-6595_ad03bd.pdf
|
Data availability statement
The data cannot be made publicly available upon publication
because no suitable repository exists for hosting data in this
field of study. The data that support the findings of this study
are available upon reasonable request from the authors.
|
Data availability statement The data cannot be made publicly available upon publication because no suitable repository exists for hosting data in this field of study. The data that support the findings of this study are available upon reasonable request from the authors.
|
Plasma Sources Sci. Technol. 32 (2023) 105015 (12pp)
Plasma Sources Science and Technology
https://doi.org/10.1088/1361-6595/ad03bd
The role of recombination in
constriction of a positive column of a
glow discharge in inert gases
A V Siasko
∗, V Yu Karasev and Yu B Golubovskii
Faculty of Physics, St Petersburg State University, Ulianovskaia ul. 3, St Petersburg 198504, Russia
E-mail: aleksei.siasko@gmail.com
Received 30 August 2023, revised 5 October 2023
Accepted for publication 16 October 2023
Published 26 October 2023
Abstract
The work is aimed at the experimental determination of the role of volume recombination in a
positive column of a DC discharge in helium during the transition from a diffuse homogeneous
state to a constricted stratified regime under real discharge conditions of high electron and gas
≈ 2 eV, Tg > 1000 K). The investigation is based on the probe measurements
temperatures (Te
of the wall current determined by the flux of charged particles towards the boundary of a
cylindrical discharge tube. The experiments were carried out in helium, neon, and argon in the
range of reduced pressures 1.2–300 Torr·cm. In heavy inert gases, the transition to a constricted
regime is determined by the active loss of charged particles in the volume. In contrast to neon
and argon, experiments in helium demonstrated that the role of volume recombination is
insignificant during the transition to a constricted regime. The rate of volume losses in helium in
real conditions is very low compared to neon and argon. The obtained results allow one to
calculate the volume recombination rate by comparing the experimentally measured wall
currents with the corresponding numerical calculations within the collision-radiative model.
Keywords: glow discharge, positive column, constriction, optical constriction,
plasma instabilities, recombination, probe diagnostics
1. Introduction
The phenomenon of constriction—compression of plasma
glow into a narrow filament near the discharge axis, which
is often accompanied by the development of striations, has
been described in numerous works beginning with the book
of Stark [1]. The modern state of the problem of discharge
constriction is described in classical experimental and the-
oretical studies [2–21]. At present, the problem of plasma
filamentation at
intermediate and high pressures has not
lost its relevance and there are several modern both exper-
imental and theoretical works dedicated to plasma instabil-
ities in sources of various types. For example, the paper
[22] describes the development of striation-type ionization
∗
Author to whom any correspondence should be addressed.
instability based on fluid simulation of a dielectric barrier dis-
charge (DBD) discharge in argon at atmospheric pressure.
The plasma parameters mimic the natural discharge condi-
tions under which discharge stratification was experiment-
ally observed in [23]. The development of instability is inter-
preted as a disturbance of the spatial distribution of elec-
trons along the discharge channel due to repeated stepwise
ionization processes through metastable levels and ionization
of excimers. Simultaneous constriction and stratification of a
short discharge with an electrode spacing of a few millimeters
were experimentally studied in argon and in helium with an
admixture of nitrogen at pressures of hundreds of torr in
[24, 25]. In [26], the constriction observed in a microwave
discharge in molecular nitrogen at sub-atmospheric pressure
was interpreted as an ionization-thermal instability due to a
mixing of molecular states of nitrogen during rapid heating
of the gas. A combined experimental and numerical study
1361-6595/23/105015+12$33.00 Printed in the UK
1
© 2023 IOP Publishing Ltd
Plasma Sources Sci. Technol. 32 (2023) 105015
A V Siasko et al
Figure 1. (a) Schottky linear diffusion theory (r∗ = R
radiation compression or optical constriction. (c) Non-linear diffusion—recombination theory (r∗ < R
formation of a plasma filament.
∗ = R/2.4), diffuse discharge. (b) Non-linear diffusion theory (r∗ < R; R
∗ < R/2.4), current constriction,
∗ ≈ R/2.4),
−5–10
of microwave CO2 discharge [27] demonstrates the transition
from a homogeneous state to a constricted state with an
increase in pressure from 60 to 300 mbar due to a thermal-
ionization mechanism at gas temperatures reaching 6500 K,
−4. Along
and the ionization degrees of the order of 10
with high pressures, the work on studying the instabilities is
being carried out in low-pressure discharges. The development
of S, P, and R ionization waves at low currents is described
using a hybrid kinetic-fluid model in paper [28] and a fully kin-
etic model in paper [29]. The simulation presented in the work
[30] predicts the development of striations in the dusty plasma
of the PK-4 system operating in micro-gravity on-board of the
International Space Station. The obtained numerical results are
confirmed by the experiments on the ground-based PK-4 rep-
lica systems.
To date, a certain point of view has been formed on the
mechanism of discharge constriction. The initial equation for
describing the compression of the electron density is the ioniz-
ation balance equation. In the simplest case, under conditions
of intermediate pressures and currents (tens to hundreds of torr
and milliamp), ionization in each elementary plasma volume
is balanced by the diffusion of charged particles and the
volume recombination. Assuming two-body recombination
with the rate αn2, for cylindrical geometry this equation can be
written as:
I (r) + ∇Da
∇n (r) − αn2 (r) = 0.
(1)
I is the number of ionization acts per unit volume per unit time,
Da is the ambipolar diffusion coefficient, α is the coefficient of
two-body recombination, and r is the radial coordinate. If for
some reason the ionization sources are compressed towards the
discharge axis and located in a region with a characteristic size
∗
, where I = 0, one
r
can assume Da/R
is the distance
over which charged particles diffuse during the recombina-
tion time 1/αn. If the recombination coefficient α has a large
∗ < R may take place. R is the dis-
value, then the relation R
, the so-called recombination
charge tube radius. The size R
length, determines the radius of the current flow or the radius
, then outside the ionization zone r > r
∗2 ∼ αn or R
αn . Here R
∗2 ∼ Da
∗
∗
∗
∗
∗
charged particles dis-
of the plasma filament since beyond R
appear due to recombination. In the opposite case, when the
∗ > R. This
recombination rate is low, it may turn out that R
means that charged particles diffuse up to the wall, ionization
is balanced by the ambipolar diffusion, and the recombination
. In this case, a
length coincides with the diffusion radius R
diffuse discharge mode is established. Within the framework
of the linear diffusion Schottky theory [31], a Bessel distribu-
tion of the ionization rate and electron density is formed in the
radial direction, which is described by the zero-order Bessel
function J0(2.4 · r/R). This corresponds to the diffusion radius
∗ = R/2.4 and to the same characteristic radius of the ioniz-
R
∗ = R/2.4. In the non-linear diffusion theory,
ation sources r
when the ionization rate depends exponentially on the elec-
tron density, the size of the excitation zone can be noticeably
∗ < R). In the absence of
smaller than the radius of the tube (r
recombination, the ambipolar diffusion broadens the electron
density profile. Thus, the excitation and the ionization zones
are compressed, but the electron density profile only slightly
differs from the Bessel one. This phenomenon, the so-called
optical constriction, is discussed in detail in sections 2 and 5.2.
More detailed discussions of discharge formation modes are
described in the review [32].
Figure 1 illustrates all
three cases described above.
Figure 1(a)—formation of a diffuse discharge in the absence
of recombination when the ionization is balanced by the ambi-
∗ = R/2.4). Figure 1(b) describes the
polar diffusion (r
compression of the ionization zone and a discharge glow with
a smooth distribution of the electron density along the radius in
the absence of recombination. In this case, a line radiation fil-
ament is formed with a smooth decay of the bremsstrahlung
∗ ≈
continuum radiation- the optical constriction (r
R/2.4). The characteristic radii of compression zones are
∗ ≈ R/10 [32]. Figure 1(c)
of the order of R
shows the case of the formation of a constricted current chan-
nel, when the ionization zone is compressed, and the loss of
charged particles occurs in the volume due to active recom-
∗ < R/2.4). In this case, charged particles are
bination (r
carried out of the ionization zone by the ambipolar diffusion
and then disappear in the volume due
on a small distance r
∗ ≈ R/5 and r
∗ < R, R
∗ = R
∗ < R
∗
2
Plasma Sources Sci. Technol. 32 (2023) 105015
A V Siasko et al
Figure 2. (a) Cross-sections of elastic electron-atom collisions depending on the electron energy in helium, argon, and neon. (b) Excitation
frequencies of the lower metastable states depending on the ionization degree for characteristic electric fields under conditions of transition
from a diffuse state to the constricted regime: E/N = 0.56 Td in argon and neon and E/N = 4.5 Td in helium.
to recombination. In this mode, the characteristic values of the
diffusion zone and ionization zone correspond to values of the
∗ ≈ R/50 [32], which is a small part
∗ ≈ R/40 and r
order of R
of the radius of the discharge tube.
The main mechanisms of constriction of ionization sources
can be associated with kinetic effects [33–37], as well as with
the inhomogeneous heating of the gas (thermal mechanism)
[37–48]. In the first case, one considers the depletion of the
electron distribution function by fast electrons in the direction
from the axis toward the wall. At the center of the tube, the
electron density is high, the electron–electron collisions are
efficient, and the distribution function is close to the Maxwell
function. With the distance from the axis, the electron dens-
ity decreases, the intensity of electron–electron collisions also
decreases, and the distribution function becomes depleted by
fast electrons capable of ionizing atoms. As a result, the ion-
ization rate depends exponentially on the plasma ionization
degree, which, in turn, decreases in the radial direction and
leads to the constriction of ionization sources towards the dis-
charge axis. The degree of compression of the electron density
depends on the shape of the cross-section of elastic electron-
atom collisions. This effect is especially pronounced in argon
and other heavy gases—krypton and xenon. In these gases, the
cross-section of elastic collisions increases with the increas-
ing electron energy. For this reason, the distribution function
in these gases differs greatly from the Maxwell one. It is lead-
ing to a formation of a sharp non-linear dependence on the
ionization degree, which results in a formation of a very thin
zone of ionization and excitation in these gases. In neon, the
elastic collisions cross-section is approximately constant and
the non-linearity is less pronounced. The excitation and ioniz-
ation zone is wider than in heavy gases. For helium, the elastic
collision cross-section in the region exceeding 4 eV decreases
with increasing velocity. The decrease in the cross-section
contributes to the Maxwellization of the distribution func-
tion, the non-linearity is very weakly expressed. This effect
in helium, in contrast to other inert gases, plays a weak role
in the constriction mechanism. Figure 2 compares the cross
sections of elastic electron-atom collisions (a) in argon, neon,
and helium and the non-linearities of the excitation frequency
(b) caused by the competition of electron–atom and electron–
electron collisions for these gases at fixed electric field corres-
ponding to real discharge conditions under the transition from
a diffuse state to the constricted one.
The second possible mechanism of constriction of ioniza-
tion sources is associated with inhomogeneous heating of the
gas, which leads to a decrease in the reduced electric field
E/N in the radial direction. Due to inhomogeneous heating,
the temperature of the neutral gas decreases from the center
toward the wall, the density of neutrals N inversely increases,
and the reduced field E/N decreases. Accordingly, the electron
temperature and the ionization rate decrease, which depends
exponentially on the electron temperature.
In works [49, 50], basing on a detailed experimental and
theoretical study, the mechanisms leading to constriction of
a discharge in neon and argon were investigated. It is shown
that for these gases the main cause of constriction is the kin-
etic mechanism arising from the depletion of the distribution
function by fast electrons. The inhomogeneous heating of the
neutral gas is of secondary importance. These works show
the effect of each of these mechanisms on the current–voltage
characteristics, on the radial size of the current filament and the
size of line and bremsstrahlung radiation zones, on a hysteresis
during the transition of a discharge from diffuse to constricted
state and vice versa, on the appearance of ionization waves
during this transition, etc. Such a subtle effect as an influence
of the transport of resonance radiation on a formation of mac-
roscopic characteristics of diffuse and constricted discharges
was considered [20]. For such inert gases as neon and argon, an
adequate theoretical description of the phenomena observed
in the experiment is associated with available precise data on
the cross-sections of elementary processes, on the probabilit-
ies of radiative transitions, and, mainly, with the reliable data
on the values and temperature dependences of the recombin-
ation coefficients. The latter fact is of the greatest import-
ance since the volume recombination leads to the compression
3
Plasma Sources Sci. Technol. 32 (2023) 105015
A V Siasko et al
of the current channel and the formation of a thin plasma
filament (figure 1(c)).
distributions of line and bremsstrahlung radiation in these
gases.
Latest experimental study [51] was carried out to reveal the
main mechanism of constriction in helium. It was shown that
in helium, in contrast to neon and argon, optical constriction
is observed (figure 1(b)) - with increasing current, an abrupt
compression of the ionization zone occurs while the electron
density smoothly decreases along the radius of the discharge
tube. Experiments have shown that the main mechanism of
constriction in helium is associated with the inhomogeneous
heating of the gas. In this gas, the role of volume recombin-
ation losses of charged particles remains unclear. On the one
hand, the absence of the formation of a current filament upon
constriction in helium indicates an insignificant role of the
volume loss of charged particles due to recombination pro-
cesses compared to the transport of particles due to ambipolar
diffusion. On the other hand, the rate of dissociative recom-
bination in helium, which is the main channel for particle
loss at high pressures, depends on the density of the excited
vibrational states of the helium molecular ion. As the gas
temperature grows, a strong non-linear increase in the density
of molecules in highly excited states can be observed. The
literature data on the rate of dissociative recombination for
helium are contradictory. The spread of experimental data is
two orders of magnitude [52–57]. The most detailed study of
recombination processes in plasma afterglow is presented in
[55]. According to the data of this work, the rate of dissociative
recombination is very low, and the temperature dependence
remains indefinite—α < 5 · 10
−10(Te/293)−(1±1) cm3 s
−1.
The present work aims to conduct an experimental study
to reveal the role of recombination processes in the construc-
tion of a discharge in helium at high electron and gas tem-
≈ 2 eV, Tg > 1000 K [51]) at the wide range of
perature (Te
the reduced gas pressures from 2 to 100 Torr·cm and reduced
−1. For this purpose,
discharge currents from 8 to 140 mA cm
it is proposed to measure the ion flux towards the tube wall
using the wall probes. The flux of ions reaching the wall due
to ambipolar diffusion is the difference between the number
of ions born through the ionization and disappeared as a result
of recombination in the plasma volume. This makes it pos-
sible to estimate the integral rate of recombination losses over
the volume. To reveal additional differences between constric-
tion in helium and heavier inert gases, similar experiments
were carried out in argon, where the role of volume losses
and the rate constant of dissociative recombination are well
studied. To complete the picture of the observed phenom-
ena, some results will be generalized to the investigations in
neon.
2. Brief phenomenology of discharge constriction
in inert gases
Despite the constricted positive column in helium being visu-
ally similar to the constricted discharges in argon and neon
(figure 3), there is a fundamental difference in the radial
4
In neon and helium, a bright luminous filament of line radi-
ation is surrounded by a weaker glow of the bremsstrahlung
continuum. In argon, the filament is so thin that the glow of
lines and continuum is visually indistinguishable. In addition,
due to thermal effects, the plasma column in argon emerges
due to large temperature gradients and convective heat fluxes.
These phenomenon was studied in detail in [50].
The radial distribution of line radiation approximately
describes the ionization zone. The radial distribution of the
bremsstrahlung continuum describes the zone where the elec-
tron density is located and, accordingly, the current flow zone.
Figure 4 shows the radial distributions of line radiation and
bremsstrahlung continuum under conditions of diffuse and
constricted regimes in argon (a and c) and helium (b and d)
[51].
As can be seen from figure 4, for argon in the constricted
regime, there is a strong compression of both line (figure 4(a))
and bremsstrahlung radiation (figure 4(c)) and a pronounced
plasma filament is formed. In contrast, in helium only line radi-
ation (figure 4(b)) is compressed, while the bremsstrahlung
continuum (figure 4(d)) smoothly decreases from the axis to
the wall in both regimes. In constricted mode in helium cur-
rent flows through the entire cross-section as in the diffuse
mode. This phenomenon has been called the optical constric-
tion (figure 1(b)).
The radial profile of the continuum describes the distri-
bution of electrons over the radius of the discharge tube
up to temperature inhomogeneity. As will be shown below-
equation (6), the slope of the continuum near the tube radius
describes the flux of charged particles toward the wall. From
figure 4(c) it can be seen that for argon the slope of the con-
tinuum sharply decreases during the transition to the con-
striction regime. This indicates that in the constricted regime
in argon charged particles almost do not reach the wall.
In helium, the slope of the continuum almost coincides in
both diffuse and constricted regimes, which indicates that the
volume losses are low. Charged particles reach the wall in the
ambipolar diffusion regime.
It was shown in [51] that the formation of the constricted
discharge in helium is strongly influenced by heat exchange
conditions. When the tube walls are thermostated at room
temperature, constriction is not observed in the investigated
range of pressures and currents. In the regime of free heat
exchange with the environment, an abrupt constriction of line
radiation is observed, while the bremsstrahlung continuum
does not experience noticeable compression. The transition
is accompanied by a hysteresis, which is especially clearly
seen in the current–voltage characteristics. By heating the
walls of the discharge tube, it is possible to induce constric-
tion at currents less than the critical ones in the free heat
exchange regime. When the walls of the discharge tube are
cooled, the opposite effect is observed—the radiation constric-
tion disappears. In other inert gases, similar effects are not
observed.
Plasma Sources Sci. Technol. 32 (2023) 105015
A V Siasko et al
Figure 3. Photographs of constricted discharges in argon at pR = 200 Torr·cm and i/R = 30 mA cm
i/R = 47 mA cm
−1 (b), and helium at pR = 200 Torr·cm and i/R = 100 mA cm
−1 (c).
−1 (a), neon at pR = 90 Torr·cm and
Figure 4. Normalized radial profiles of spectral lines (a), (b) and bremsstrahlung continuum (c), (d) intensity in the diffuse (black lines) and
constricted (red lines) states. Argon at pR = 96 Torr·cm. (a) - λ = 696.54 nm (c)- λ = 508. Helium at pR = 200 Torr·cm. (b) - λ = 587.56 nm,
(d)- λ = 540 nm.
3. Experiment on the measurement of the wall
currents
To measure the ion fluxes toward the wall, discharge tubes
with a radius of 1.2, 2.4, and 2.6 cm were used in the exper-
iment. The tubes with a radius of 1.2 and 2.6 cm were made
of molybdenum glass for studies in helium at low pressures
and in argon. To work in helium at high pressures, a quartz
tube with a radius of 2.4 cm was used. The use of a quartz tube
is due to extremely high heating of the tube walls up to tem-
peratures reaching the softening temperature of molybdenum
glass.
Using a forevacuum and diffusion pumps, the tubes were
−6 Torr, which was registered
pumped out to a pressure of 10
by the VIT-2 vacuum gauge, and filled with an inert gas up to
the required pressure measured by a vacuum gauge which was
calibrated by an oil pressure gauge. The discharge tubes were
connected to two high-voltage DC power supply (figure 5)
which had an output with positive and negative potentials,
respectively. A ballast resistance was connected in series with
the tube to establish a required discharge current. The exper-
iments were carried out after multiple tube training by high
currents and gas changes. The degree of purification was con-
trolled by the emission spectrum. For reliable measurement
of the wall currents, 5 mm diameter molybdenum and nickel
probes were soldered into the tubes. The location and design
of the probes are shown in figure 5. Some probes were addi-
tionally equipped with a shielding ring (position 3 in figure 5)
first proposed in [58]. To register the propagation of ionization
waves in the form of striations, a photomultiplier (PMT) was
placed across the discharge tube. The signal from the PMT was
registered by an oscilloscope and then transferred to a PC.
The electrical circuit to measure the probe characteristics
is shown in figure 6. The value of the ion current towards the
wall was obtained by linear extrapolation of the ion part of
the probe characteristic to the potential of the isolated probe.
Voltage from a stabilized power source, regulated by a poten-
tiometer, was applied to the probe. The current from the probe
was measured with a micro ammeter. Probes with a shield-
ing ring were used to control the error in the measured wall
5
Plasma Sources Sci. Technol. 32 (2023) 105015
A V Siasko et al
Figure 5. Scheme of a discharge tube with probes for measurement of the wall currents. 1 - molybdenum probe, 2 - nickel probe,
3 - molybdenum probe with a shielding ring.
Figure 7. Probe characteristics in argon at pR = 100 Torr·cm and
i/R = 4 mA cm
3- molybdenum probe with a shielding ring.
−1. 1- molybdenum probe, 2- nickel probe,
Figure 6. Electrical circuit for measurement of the probe
characteristics.
currents associated with edge effects. An example of probe
characteristics registered in argon on a probe of nickel, molyb-
denum with and without a shielding ring is shown in figure 7.
For clarity, the characteristic of the molybdenum probe with
a shielding ring is shifted along the abscissa axis by −20 V.
It follows from this figure that, under the experimental condi-
tions, the characteristics for nickel and molybdenum probes
coincide and give the same value of the wall currents. The
characteristic of a probe with a shielding ring has a differ-
ent slope due to edge effects. With an increase in the voltage
applied to the probe which is negative relative to the potential
of the isolated probe, the ion current should reach saturation,
while in a real experiment it constantly increases. This is due
to an increase in the surface of the layer from which ions are
attracted due to edge effects. Edge effects do not appear if a
voltage equal to the voltage applied to the probe is applied
to the shielding ring and the current flowing only from the
probe is measured. Despite that the slope of the ion parts of the
6
Plasma Sources Sci. Technol. 32 (2023) 105015
A V Siasko et al
probe characteristics is different for probes with and without
the shielding ring, the wall current at the floating probe poten-
tial almost coincides within the measurement errors (figure 7).
This allows one to neglect the edge effects and also indicates
that the thickness of the space charge layer is small compared
to the transverse dimensions of the flat probe.
It should be noted that the measured wall currents are not
only the currents of charged particles moving from the plasma
volume to the walls. In addition to electrons and ions, meta-
stable atoms with a potential energy of the order of 11.5 eV
for argon and 20 eV for helium diffuse towards the wall, as
well as resonance photons with energies of the same orders of
magnitude propagating in the plasma volume. These particles
hitting the probe surface make it emit electrons which will lead
to a distortion of the ion part of the probe characteristic and an
increase in the measured wall current. Under the investigated
conditions, the flux of secondary electrons is determined by
the quantum yield of probe materials [59], as well as by the
density of metastable and resonance states. When construct-
ing a theory that would allow comparing the theoretical wall
currents with the results of the experimental study, it would be
necessary to take into account the contribution of the second-
ary electron flux in the total value of the particle flux density.
For correct measurement of the wall currents in the con-
stricted state regime, four probes were soldered in each molyb-
denum glass tube in one cross-section (figure 5). In the case of
a small displacement of a filament from the axis of the dis-
charge tube, the wall currents were recalculated according to
the empirically determined equation:
(cid:19)
(cid:18)
it = im
,
(2)
2
′
R
R
where it is the true value of the current towards the probe, im is
the measured value of the wall current at a small displacement
′
of the plasma filament from the axis of the discharge tube, R
is the distance from the probe to the center of the plasma fila-
ment. This allowed measuring the wall currents in the constric-
ted state at small displacements of the filament from the axis of
the tube, which is most important for measurements in argon,
where the filament can experience Archimedes’ buoyant force
[50]. Measurements of the wall current along the length of
the discharge tube showed that the characteristics are uniform
along the longitudinal direction.
The value of the measured wall current provides informa-
tion on the difference between the ionization and the recom-
bination rates in the volume. The ionization balance equation
for cylindrical geometry has the form:
I (r) − Γ (r) =
1
r
d
dr
rDa
dn
dr
,
with the corresponding boundary conditions:
(cid:12)
(cid:12)
(cid:12)
(cid:12)
= 0, n|
r=R = 0.
dn
dr
r=0
(3)
(4)
7
Multiplying both sides of the equation (3) by rdr and integrat-
ing from 0 to R, one can obtain an expression for the particle
flux towards the wall and the wall current jw, accordingly:
ˆ
R
0
I (r) rdr −
ˆ
R
0
Γ (r) rdr = −Da
dn
dr
(cid:12)
(cid:12)
(cid:12)
(cid:12)
,
r=R
(cid:12)
(cid:12)
(cid:12)
(cid:12)
r=R
.
(5)
(6)
jw = −eDa
dn
dr
It can be seen that the wall current can be experimentally
determined either directly from the probe characteristic or
using the bremsstrahlung continuum profile and measuring
the slope of the restored electron density profile near the wall
(figures 4(c) and (d)).
4. Results. Measurement of the wall currents at low
pressures in the absence of constriction
Measurements in argon, neon, and helium were first performed
at low pressures from 1 to 36 Torr·cm, when the ionization
balance of charged particles is determined by the creation of
particles in the plasma volume and their loss on the tube walls
due to ambipolar diffusion in the absence of volume recom-
bination.
Figure 8 shows the values of the wall current density jw
depending on the reduced discharge current i/R for differ-
ent reduced pressures pR. In helium, the measurements were
carried out in tubes with a radius of 1.2 cm (figure 8(a)) and
2.4 cm (figure 8(b)). The results for argon (figure 8(c)) and
neon (figure 8(d)) are given for the tube radius of 1.2 cm.
In all gases, in a diffuse regime when charged particles drift
towards the discharge tube wall, the wall current increases
monotonously with an increase in the discharge current. A
slight deviation from linear dependences can be associated
with a decrease in the electric field with an increase in the dis-
charge current. It can be seen from the figure that the highest
values of the wall currents at equal reduced pressures and dis-
charge currents are observed in helium. The smallest wall cur-
rents are observed in argon. This picture corresponds to the
difference in ion mobilities and electron temperatures for these
gases, which determine the ambipolar diffusion coefficient.
Characteristics presented in figures 8(a) and (b) allow
checking the applicability of the similarity rules. Under con-
ditions when the drift of charged particles to the wall is main-
tained in the diffusion mode, it was found that for tubes of
different radii the value of the wall current multiplied by the
radius jwR remains constant for the same values of the reduced
discharge current i/R and reduced pressure pR (figure 9). It
can be seen that the similarity rules are fulfilled quite well.
The similarity rule can also be derived from the equation (6)
if taking into account the dependence of the ambipolar dif-
fusion coefficient on pressure (Da = Da0/p) and introducing
the dimensionless coordinates x = r/R and y = n/n0. In these
variables, Da0 is the coefficient of ambipolar diffusion at a
pressure of 1 Torr and n0 is the electron density at the axis of
Plasma Sources Sci. Technol. 32 (2023) 105015
A V Siasko et al
Figure 8. Dependence of the wall current density jw on the reduced discharge current i/R at low pressures in helium at R = 1.2 cm (a) and
R = 2.4 cm (b), in argon at R = 1.2 cm (c), and in neon at R = 1.2 cm (d).
The above similarity rule is valid when the volume processes
in the ionization balance are two-particle. Three-particle pro-
cesses, for example,
the conversion of atomic ions into
molecular ones followed by dissociative recombination, as
well as chemoionization processes, resonance radiation trap-
ping, etc can lead to a deviation from the similarity rules. At
low pressures, as shown in figure 9, deviation from the simil-
arity rules is not observed.
5. Results. Measurement of the wall currents at
high pressures in the presence of constriction
5.1. Argon
Since, as mentioned above, the process of dissociative recom-
bination in argon has been studied sufficiently well, and
the rate constant is known, it seems appropriate to begin
the investigation of the effect of recombination processes
on the discharge constriction from this gas. The switch
of the diffuse regime to the constricted one occurs if the
gas pressure and the discharge current exceed the critical
values.
The experiments in the constricted discharge in argon were
carried out at reduced pressures of 100, 200, and 300 Torr·cm
in tubes with a radius of 1.2 and 2.6 cm. In the constricted dis-
charge in argon, the electron density profile is strongly com-
pressed, leading to a noticeable decrease in the value of dn
r=R
dr
in the equation (6) compared to the diffuse discharge regime.
This should lead to a decrease in the wall currents during
(cid:12)
(cid:12)
Figure 9. Dependence of the reduced wall current density jwR on
the reduced discharge current i/R at low pressures in helium. Black
dots- R = 1.2 cm, red dots- R = 2.4 cm.
the discharge tube. Then the expression for the reduced wall
current jwR will be written in terms of the reduced similarity
parameters pR and n0R which is proportional to i/R:
jwR = − eDa
pR
n0R
(cid:12)
(cid:12)
(cid:12)
(cid:12)
dy
dx
.
x=1
(7)
8
Plasma Sources Sci. Technol. 32 (2023) 105015
A V Siasko et al
Figure 10. Dependence of the wall current density jw on the reduced discharge current i/R at high pressures in diffuse and constricted
regimes in argon at R = 1.2 cm and R = 2.6 cm at pR = 100 Torr·cm (a), pR = 200 Torr·cm (b), and pR = 300 Torr·cm (c).
Figure 11. Dependence of the reduced wall current density jwR on the reduced discharge current i/R at high pressures in diffuse and
constricted regimes in argon. Black dots- R = 1.2 cm, red dots- R = 2.6 cm.
the discharge constriction. Figure 10 shows the dependencies
of the wall currents on the reduced discharge current for the
mentioned pressures and discharge tube radii. It can be seen
from the figures that at low discharge currents in the region
of the diffuse regime, a smooth increase in the wall current is
observed with an increase in the discharge current, which is
similar to diffuse discharges at low pressures (figure 8). When
the critical values of the discharge current are exceeded, an
abrupt decrease in the flux of charged particles towards the
wall is observed. This jump is due to a rapid increase in the rate
of recombination processes and the loss of charged particles
in the volume. Thus, constriction in argon develops by the
scenario presented in figure 1(c). After the transition from the
diffuse to the constricted state, the wall current changes only
slightly.
For reduced pressures of 100 and 200 Torr·cm, the similar-
ity rules were verified. On figure 11 the results are presented
in the similarity parameters. It can be seen that the similarity
rules are satisfied not only for low pressures (figure 9), but also
for high ones.
5.2. Helium
Constriction of the ionization zone in helium can be observed
starting from reduced pressures of about 50 Torr·cm. Due to
very high gas temperatures at such pressures, all measure-
ments in a constricted discharge in helium were carried out
in a quartz tube of the radius R = 2.4 cm.
Figure 12 demonstrates the dependence of the wall current
density on the reduced discharge current in helium at pressures
of 53 and 100 Torr·cm (a) and the current–voltage character-
istic at a pressure of 100 Torr·cm (b). It can be seen that the
probe current increases linearly over the entire range of meas-
ured discharge currents and decreases inversely to the pres-
sure, despite the presence of an abrupt transition to optical
constriction, which is clearly observed in the current–voltage
characteristic. This result is drastically different from the phe-
nomena observed in argon, when constriction was accom-
panied by an abrupt decrease in the wall current (figures 10
and 11). Hence it follows that, upon the transition to optical
constriction, the regime of loss of charged particles is determ-
ined by the ambipolar diffusion, and the radial profile should
not experience noticeable compression. This correlates with
the spectral distributions of the bremsstrahlung continuum
shown in figure 4(d). Thus, the low volume recombination
rates do not play a decisive role in the formation of a con-
stricted discharge in helium. This corresponds to the values
of volume recombination given in [55]. The constriction phe-
nomenon in the case of helium, unlike argon, develops by the
scenario presented in figure 1(b).
9
Plasma Sources Sci. Technol. 32 (2023) 105015
A V Siasko et al
Figure 12. (a) Dependence of the reduced wall current density jwR on the reduced discharge current i/R at high pressures in diffuse and
constricted regimes in helium at pR = 53 Torr·cm and pR = 100 Torr·cm. (b) Volt-ampere characteristic at pR = 100 Torr·cm.
Figure 13. Time dependence of radiation intensity on the axis of a discharge tube in helium at pR = 100 Torr·cm. Homogeneous glow in a
diffuse discharge at i/R = 8.3 mA cm
i/R = 83.3 mA cm
−1 (a). Development of ionization waves in a constricted discharge at
−1 and i/R = 16.7 mA cm
−1 (c).
−1 (b) and i/R = 125 mA cm
Figure 14. Time dependence of radiation intensity on the axis of a discharge tube in neon at pR = 96 Torr·cm. Homogeneous glow in a
diffuse discharge at i/R = 48 mA cm
−1 (a). Development of ionization waves in a constricted discharge at i/R = 51 mA cm
−1 (b).
The discharge constriction in helium, as in other inert gases,
is accompanied by the simultaneous development of ionization
instability in the form of striations. Figure 13 shows the res-
ult of registration of radiation across the tube using a PMT for
currents corresponding to diffuse (a) and constricted (b and
c) discharges at a pressure of 100 Torr·cm. For comparison,
figure 14 shows similar temporal characteristics of radiation
in neon in diffuse and constricted states near the critical value
10
Plasma Sources Sci. Technol. 32 (2023) 105015
A V Siasko et al
Figure 15. Illustration of the extrapolation of the diffusion theory to the region of a constricted discharge to find the volume loss rate in the
case of argon (a) and helium (b).
of the discharge current. Despite the differences in constric-
tion mechanisms in these gases noted above, it is clear that in
neon and helium the phenomenon of stratification proceeds in
the identical way. In the diffuse state, the glow is homogen-
eous. The constricted state is accompanied by the appearance
of striations.
Despite that the role of recombination in the ionization
balance in helium is negligible, nevertheless, it can contrib-
ute to the development of ionization instability. This question
requires the construction of a collision-radiative model and
the study of the stationary solution for stability with respect
to small perturbations of plasma parameters.
6. Conclusion
A complex of experimental measurements of the wall currents
in argon, neon, and helium has been carried out in a wide range
of pressures and discharge currents in diffuse and constricted
regimes of a DC discharge. It is shown that the measurements
of the wall currents can serve as a method for estimating the
role of volume recombination in the ionization balance.
The performed measurements have shown that the similar-
ity rules take place for the values of the reduced wall current
jwR depending on the reduced discharge current i/R and the
reduced pressure p/R. The similarity rules are fulfilled both at
low pressures and at high pressures during the transition to the
constricted regime.
In diffuse discharge, a monotonic increase of the wall cur-
rent is observed in all gases with an increase in the discharge
current. With increasing pressure, the wall current decreases
inversely. In heavy gases, when the critical values of the dis-
charge current and pressure are exceeded, the wall current
undergoes an abrupt decrease and then remains approxim-
ately constant with the after increase in the discharge current.
In contrast, in helium, such jumps are not observed during
the transition to the constricted regime. The wall current in
helium increases proportionally to the discharge current des-
pite the jump-like compression of the line radiation and the
voltage drop in the current–voltage characteristic. This fact
confirms the insignificant role of the volume recombination
in the ionization balance in helium.
Despite the difference in the constriction mechanisms, in
all investigated gases, simultaneously with the compression of
the discharge one can observe the development of ionization
instability in the form of striations.
The whole range of observed phenomena in neon and argon
can be described quite well by the theory [20]. A quantitat-
ive description of the phenomena occurring in helium requires
the development of a detailed collision-radiative model. This
model should predict an abrupt compression of line radiation
with a smooth distribution of the electron density upon the
transition to the constricted state. An analysis of the station-
ary solution for stability with respect to small perturbations of
the plasma parameters should describe the development of the
ionization instability.
The presented results of the measured wall currents can
serve to determine the volume recombination rate. For this
purpose, based on a detailed collision-radiative model, in the
first approximation it is necessary to calculate the plasma para-
meters without account of the recombination losses in the
framework of diffusion theory. The obtained solution makes
it possible to calculate the flux of charged particles towards
the wall of the discharge tube. It can be expected that at low
pressures and currents when recombination losses can be neg-
lected, the wall current in the diffusion theory should coincide
with the experimental results. Extrapolation of the diffusion
theory to the region of high pressures and discharge currents
should give a difference between the measured and calculated
wall currents. By extrapolation, one means the calculation of
plasma parameters on the basis of a detailed collision-radiative
model in the absence of recombination. From this difference,
one can estimate the volume-averaged value of recombination
losses- equation (5). In the next approximation, one can intro-
duce volume losses in the collision-radiative model and, by
the iterative method, achieve the convergence of the result.
This method will give the dependence of the volume-averaged
recombination rate on the current and pressure, i.e. depend-
ing on the electron temperature, gas temperature, and elec-
tron density in real plasma conditions. The proposed method
for calculating the recombination loss rate from the measured
wall currents is qualitatively illustrated in figure 15 on the
example of argon (a) at a pressure pR = 100 Torr·cm and radius
11
Plasma Sources Sci. Technol. 32 (2023) 105015
A V Siasko et al
R = 2.6 cm and helium (b) at pR = 100 Torr·cm and radius
R = 2.4 cm.
In the subsequent work,
is planned to construct a
it
collision-radiative model for helium and implement the pro-
posed method for determining the rate of recombination losses
and their temperature dependences for the quantitative inter-
pretation of the phenomena observed in helium.
Data availability statement
The data cannot be made publicly available upon publication
because no suitable repository exists for hosting data in this
field of study. The data that support the findings of this study
are available upon reasonable request from the authors.
Acknowledgment
Authors gratefully acknowledge RSF Grant No. 22-12-00002.
ORCID iDs
A V Siasko https://orcid.org/0000-0002-3546-9541
V Yu Karasev https://orcid.org/0000-0003-2584-0068
Yu B Golubovskii https://orcid.org/0000-0001-7757-0616
References
[21] Ridenti M A, de Amorim J, Dal Pino A, Guerra V and
Petrov G M 2018 Phys. Rev. E 97 13201
[22] Jovanovi´c A P, Hoder T, Höft H, Loffhagen D and
Becker M M 2023 Plasma Sources Sci. Technol. 32 055011
[23] Hoder T C V, Loffhagen D, Wilke C, Grosch H, Schäfer J,
Weltmann K-D and Brandenburg R 2011 Phys. Rev. E
84 046404
[24] Zhu H, Yao W and Li Z 2020 Plasma Process. Polym.
17 1900271
[25] Zhu H, Huang Q, Wu Y, Li Y and Ren K 2022 Plasma Sci.
Technol. 24 055406
[26] Kelly S, van de Steeg A, Hughes A, van Rooij G and
Bogaerts A 2021 Plasma Sources Sci. Technol. 30 055005
[27] Viegas P, Vialetto L, Wolf A J, Peeters F J J, Groen P W C,
Righart T W H, Bongers W A, van de Sanden M C M and
Diomede P 2020 Plasma Sources Sci. Technol. 29 105014
[28] Kolobov V I and Arslanbekov R R 2022 Phys. Rev. E
106 065206
[29] Boeuf J P 2022 Phys. Plasmas 29 022105
[30] Hartmann P, Rosenberg M, Juhasz Z, Matthews L S,
Sanford D L, Vermillion K, Carmona-Reyes J and
Hyde T W 2020 Plasma Sources Sci. Technol. 29 115014
[31] Schottky W 1924 Phys. Z. 25 635–40
[32] Golubovskii Y B, Nekuchaev V O, Gorchakov S and
Uhrlandt D 2011 Plasma Sources Sci. Technol. 20 53002
[33] Kagan Y and Lyagushchenko R 1964 Zh. Tekhn. Fiz. 34 1873
[34] Golubovskii Y B, Kagan Y M and Lyagushchenko R I 1966
Opt. Spectrosc. 21 295
[35] Wojaczek K 1966 Beitr. Plasma Phys. 6 211–25
[36] Smits R and Prins M 1979 Physica B+C 96 262–85
[37] Eletskii A 1982 Khim. Plazmy 9 151–78
[38] Massey J T 1965 J. Appl. Phys. 36 373–80
[39] Ellington H I 1969 J. Phys. D: Appl. Phys. 2 65–69
[40] Baranov V Y and Ul’yanov K 1969 Sov. Phys. Tech. Phys.
14 176
[1] Stark J 1902 Die Elektrizitat in Gasen (J. A. Barth)
[2] Massey J T and Cannon S M 1965 J. Appl. Phys. 36 361
[3] Venzke D, Hayess E and Wojaczek K 1966 Contrib. Plasma
[41] Rakhimov A T and Ulinich F 1969 Contraction of cylindrical
gas discharge Technical Report Moscow State University
[42] Mouwen C 1971 Investigation of the constricted positive
Phys. 6 365–75
[4] Pfau S and Rutscher A 1968 Beitr. Plasma Phys. 8 73–84
[5] Pfau S, Rutscher A and Wojaczek K 1969 Contrib. Plasma
Phys. 9 333–58
[6] Heymann P 1969 Beitr. Plasma Phys. 9 491–8
[7] Mouwen C and Claassens J 1970 Phys. Lett. A 31 123–4
[8] Venzke D 1975 Beitr. Plasma Phys. 15 35–45
[9] Smits R and Prins M 1975 Physica B+C 80 571–84
[10] Venzke D 1978 Beitr. Plasma Phys. 18 65–78
[11] Golubovskij J B and Nekuchajev V O 1986 Beitr. Plasma
Phys. 26 67–80
[12] Petrov G M and Ferreira C M 1999 Phys. Rev. E 59 3571–82
[13] Ionikh Y Z, Meshchanov A V, Petrov F B, Dyatko N A and
Napartovich A P 2008 Plasma Phys. Rep. 34 867–78
[14] Dyatko N A, Ionikh Y Z, Kochetov I V, Marinov D L,
Meshchanov A V, Napartovich A P, Petrov F B and
Starostin S A 2008 J. Phys. D: Appl. Phys. 41 055204
column in neon PhD Thesis Department of Applied Physics
proefschrift
[43] Uliyanov K N 1973 Sov. Phys. Tech. Phys. 18 360
[44] Wasserstrom E and Crispin Y 1982 J. Appl. Phys. 53 5565–77
[45] Lynch R H 1967 J. Appl. Phys. 38 3965–8
[46] Jaeger E F, Oster L and Phelps A V 1976 Phys. Fluids
19 819–30
[47] R˚uˇzicˇka T and Rohlena K 1976 Czech. J. Phys. B 26 282–93
[48] Hatori S and Shioda S 1976 J. Phys. Soc. Japan 40 1449–55
[49] Golubovskii Y B, Siasko A V, Kalanov D V and
Nekuchaev V O 2018 Plasma Sources Sci. Technol.
27 85009
[50] Golubovskii Y B, Siasko A V and Nekuchaev V O 2019
Plasma Sources Sci. Technol. 28 045007
[51] Golubovskii Y B, Siasko A V and Nekuchaev V O 2020
Plasma Sources Sci. Technol. 29 065020
[52] Berlande J, Cheret M, Deloche R, Gonfalone A and Manus C
[15] Shkurenkov I A, Mankelevich Y A and Rakhimova T V 2008
1970 Phys. Rev. A 1 887–96
Plasma Phys. Rep. 34 780–93
[16] Shkurenkov I A, Mankelevich Y A and Rakhimova T V 2009
[53] Johnson A W and Gerardo J B 1972 Phys. Rev. A 5 1410–8
[54] Boulmer J, Davy P, Delpech J F and Gauthier J C 1973 Phys.
Phys. Rev. E 79 46406
Rev. Lett. 30 199–202
[17] Gnybida M, Loffhagen D and Uhrlandt D 2009 IEEE Trans.
[55] Deloche R, Monchicourt P, Cheret M and Lambert F 1976
Plasma Sci. 37 1208–18
Phys. Rev. A 13 1140–76
[18] Ionikh Y Z, Dyatko N A, Meshchanov A V, Napartovich A P
and Petrov F B 2012 Plasma Sources Sci. Technol. 21 55008
[56] Ivanov V and Skoblo Y E 1988 Opt. Spectrosc. 65 445–7
[57] Carata L, Orel A E and Suzor-Weiner A 1999 Phys. Rev. A
[19] Carbone E A D, Hübner S, Palomares J M and van der
Mullen J J A M 2012 J. Phys. D: Appl. Phys. 45 345203
[20] Golubovskii Y B, Kalanov D and Maiorov V A 2017 Phys.
Rev. E 96 23206
59 2804–12
[58] Schneider W H 1956 Acta Phys. Austriaca 10 54
[59] Kulikov S, Mishchenko E, Nikitin V and Startsev G 1965 J.
Appl. Spectrosc. 3 1–4
12
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10.1265_ehpm.22-00245.pdf
|
Availability of data and material
The datasets generated and/or analyzed during the current study are not publicly
available because the study involves human participants with a nondisclosure
provision of individual data stated in the written informed consent in order to
prevent compromise of study participants’ privacy but are available from the
corresponding author upon reasonable request.
|
Availability of data and material The datasets generated and/or analyzed during the current study are not publicly available because the study involves human participants with a nondisclosure provision of individual data stated in the written informed consent in order to prevent compromise of study participants' privacy but are available from the corresponding author upon reasonable request.
|
Environmental Health and
Preventive Medicine
RESEARCH ARTICLE
Environmental Health and Preventive Medicine (2023) 28:22
https://doi.org/10.1265/ehpm.22-00245
Cross-sectional associations between early mobile device
usage and problematic behaviors among school-aged
children in the Hokkaido Study on Environment and
Children’s Health
Chihiro Miyashita1, Keiko Yamazaki1, Naomi Tamura1, Atsuko Ikeda-Araki1,2, Satoshi Suyama3, Takashi Hikage4,
Manabu Omiya5, Masahiro Mizuta6 and Reiko Kishi1*
*Correspondence: rkishi@med.hokudai.ac.jp
1Center for Environmental and Health Sciences, Hokkaido University, Sapporo, Japan. 2Faculty of Health Sciences, Hokkaido University, Sapporo, Japan. 3Funded
Research Division of Child and Adolescent Psychiatry, Hokkaido University Hospital, Sapporo, Japan. 4Graduate School, Faculty of Information Science and
Technology, Hokkaido University, Sapporo, Japan. 5Information Initiative Center, Hokkaido University, Sapporo, Japan. 6Center for Training Professors in
Statistics, The Institute of Statistical Mathematics, Tokyo, Japan.
Abstract
Background: Concerns have been raised about the adverse health impacts of mobile device usage. The objective of this cross-sectional
study was to examine the association between a child’s age at the first use of a mobile device and the duration of use as well as asso-
ciated behavioral problems among school-aged children.
Methods: This study focused on children aged 7–17 years participating in the Hokkaido Study on Environment and Children’s Health.
Between October 2020 and October 2021, the participants (n = 3,021) completed a mobile device use-related questionnaire and the
strengths and difficulties questionnaire (SDQ). According to the SDQ score (normal or borderline/high), the outcome variable was
behavioral problems. The independent variable was child’s age at first use of a mobile device and the duration of use. Covariates
included the child’s age at the time of survey, sex, sleep problems, internet addiction, health-related quality of life, and history of
developmental concerns assessed at health checkups. Logistic regression analysis was performed for all children; the analysis was
stratified based on the elementary, junior high, and senior high school levels.
Results: According to the SDQ, children who were younger at their first use of a mobile device and used a mobile device for a longer
duration represented more problematic behaviors. This association was more pronounced among elementary school children.
Moreover, subscale SDQ analysis showed that hyperactivity, and peer and emotional problems among elementary school children,
emotional problems among junior high school children, and conduct problems among senior high school children were related to early
and long usage of mobile devices.
Conclusions: Elementary school children are more sensitive to mobile device usage than older children, and early use of mobile devices
may exacerbate emotional instability and oppositional behaviors in teenagers. Longitudinal follow-up studies are needed to clarify
whether these problems disappear with age.
Keywords: Hokkaido Study on Environment and Children’s Health, Mobile devices, Children, Behavioral problems
1 Introduction
The usage of mobile devices, including smartphones and
tablets, has rapidly increased across social classes. In
2018, the smartphone penetration rate was approximately
75% and 45% in developed and developing countries, re-
spectively [24]. Globally, the age at which a child first uses
a mobile device is constantly tipping toward earlier ages.
Some parents allow their children to use mobile devices at
early ages for entertainment purposes. Concerns have been
raised about the negative early health impacts of regular
contact with mobile devices, especially in relation to neu-
robehavioral developmental delays and imbalances in
healthy activities in children [1, 26, 28]. The World Health
Organization and some developed countries, including the
United States of America, Canada, and Australia, have
recommended that parents should avoid giving screen-
based devices to infants younger than 18 months and re-
strict screen time to <1 hour daily for preschool children
aged 2–5 years [2, 3, 23, 30, 31].
While these recommendations are based on previous
studies that mainly targeted traditional devices such as
© The Author(s) 2023. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and
reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate
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need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. The Creative Commons Public Domain
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Environmental Health and Preventive Medicine (2023) 28:22
2 of 11
the television, there is limited scientific evidence regarding
the associations between the early use of contemporary
mobile devices and development in children. Unstructured
play with the hands and body and practical social commu-
nication are important for the development of the central
nervous system in early infancy [2, 3]. For establishing
healthy behaviors, daytime activities, nighttime sleep, and
routine mealtimes are essential. Early mobile device usage
can interfere with comprehensive neurodevelopment and
engagement in healthy activities, both of which foster lan-
guage and cognitive development and social skills in in-
fancy. According to a Korean study, children aged 1–3
years who spent longer times with touch screens displayed
increased emotional problems and depression and anxiety
symptoms [15]. Another study reported that the regular use
of screen-based media among infants at 4 months was
associated with poor performance on self-regulation tests
but not cognitive flexibility or working memory tests at
assessed at 14 months [17].
In Japan, the internet penetration rate among school-
aged children was 93.2% in 2019. The penetration rate
rapidly increased from 12.5% to 49.5%, for smartphones
and from 15.3% to 41.0%, for tablets, among elementary
school students, between 2014 and 2019. More than 50%
of children have contact with the internet in their early life,
with 4.7% of those aged 0 years and 50.2% of those aged 3
years using the internet [18]. A Japanese study suggested
that regular and frequent use of mobile devices among first
grade elementary school children was associated with in-
creased emotional and behavioral problems [9]. However,
this study did not assess school children aged >7 years.
The association between mobile device usage in early life
and developmental effects was not evaluated. Therefore,
the current study aimed to assess the association between a
child’s age at first use of a mobile device and the duration
of use and the behavioral problems among elementary,
junior high, and senior high school students.
2 Methods
2.1 Subjects
This study focused on children aged 7–17 years between
2003 and 2012; the children were followed up until Oc-
tober 2020 in a prospective birth cohort study of the
Hokkaido Study on Environment and Children’s Health
[11–13]. We mailed the strengths and difficulties question-
naire (SDQ) and a questionnaire regarding mobile device
use and lifestyle to 5,221 parent–child pairs between Oc-
tober 2020 and January 2021 based on a random selection.
A total of 3,364 responses were received by October 2021
(response rate = 64.4%). From the questionnaire, we as-
sessed the associations between exposure to mobile de-
vices (the child’s age at first use of a mobile device and
duration of use), the outcomes (child behavioral problems
as determined by the SDQ), and potential covariates, in-
cluding the child’s sleep problems,
internet addiction,
health-related quality of life, and history of developmental
concerns assessed at health checkups (Fig. 1). The child-
ren’s age at survey were recorded based on the response
date on the questionnaire. The child’s date of birth and sex
were obtained from medical records. Additional informa-
tion, including the parents’ age and educational and house-
hold incomes, were obtained from the baseline question-
naire during maternal pregnancy [11, 13]. Of the 3,364
questionnaires returned, we excluded two pre-school chil-
dren and 341 participants with missing response data. A
total of 3,021 children, including 1,433 elementary school,
1,121 junior high school, and 467 senior high school chil-
dren, were finally included in the study (Table 1 and
Fig. 1).
2.2 Ethics statement
The institutional ethics board for epidemiological studies
at Hokkaido University Graduate School of Medicine and
Hokkaido University Center for Environmental and Health
Sciences approved the study protocol (approval number
19 - 118). Informed consent was obtained from all study
participants before enrollment.
2.3 Exposure assessment
We used 4-type exposure factors to monitor child mobile
device usage (Table 2); the first exposure factor was the
child’s age at the first use of a mobile device, according to
parents’ answer to the following question: “At what age
did your child first use a mobile device? For example, you
showed movies to your child on mobile devices, or your
child used a mobile device by themselves?” The second
exposure factor was the duration of mobile device usage,
meaning usable years, calculated based on the child’s age
at the first use of a mobile device and that at the time of
Participants were born from 2003 to 2012, and have been followed
up until October 2020 in the Hokkaido Study on Environment and
Children’s Health (n = 13,899)
Random selection of participants to receive mobile device usage
and child health questionnaire (n = 5,221)
Participants
returned mobile device usage and child health
questionnaire (n = 3,364)
Excluded 2 participants who were pre-school children
Excluded 341 participants who had missing data
Study participants (n = 3,021)
Fig. 1 Flow chart of study participants
Environmental Health and Preventive Medicine (2023) 28:22
3 of 11
Table 1 Characteristics of participants (children and their parents).
All children
Categories
Number
(%)
Mean « SD or
Median (IQR)
School type
Elementary school
Number
(%)
Mean « SD or
Median (IQR)
Junior high school
Number
(%)
Mean « SD or
Median (IQR)
Senior high school
Number
(%)
Mean « SD or
Median (IQR)
p
3021
12.4 « 2.4
1433
10.2 « 1.2
1121
13.7 « 0.9
467
15.8 « 0.5
<0.001
Child
Age at survey
Sex
Siblings
History of
developmental
concerns
Boy
Girl
No
Yes
No
Yes
1499 (49.6)
1522 (50.4)
401 (16.0)
2100 (84.0)
2726 (90.2)
295 (9.8)
Personal mobile device use and restriction
564 (18.7)
No
Having personal
mobile devices
2457 (81.3)
Yes
Restricted use of
mobile devices
on weekdays
No
Yes
No
Yes
Restricted use of
mobile devices
on holidays
Child health quality
Health-related
quality of life
Sleep problems
Internet addiction
1310 (43.4)
1709 (56.6)
1456 (48.2)
1565 (51.8)
3021
3021
3021
721 (50.3)
712 (49.7)
192 (17.2)
926 (82.8)
1271 (88.7)
162 (11.3)
434 (30.3)
999 (69.7)
389 (27.2)
1042 (72.8)
472 (32.9)
961 (67.1)
550 (49.1)
571 (50.9)
151 (15.4)
830 (84.6)
1028 (91.7)
93 (8.3)
129 (11.5)
992 (88.5)
540 (48.2)
581 (51.8)
589 (52.5)
532 (47.5)
228 (48.8)
239 (51.2)
58 (14.4)
344 (85.6)
427 (91.4)
40 (8.6)
1 (0.2)
466 (99.8)
381 (81.6)
86 (18.4)
395 (84.6)
72 (15.4)
0.766
0.342
0.025
<0.001
<0.001
<0.001
43.0 (38.0, 47.0)
1433
44.0 (40.0, 48.0)
1121
43.0 (37.0, 47.0)
467
41.0 (35.0, 46.0) <0.001
24.0 (22.0, 26.0)
21.0 (16.0, 26.0)
1433
1433
24.0 (22.0, 26.0)
19.0 (15.0, 24.0)
1121
1121
23.0 (22.0, 26.0)
21.0 (17.0, 26.0)
467
467
23.0 (21.0, 25.0) <0.001
23.0 (19.0, 27.0) <0.001
Mother
Age at time of
survey
Educational
level
3021
44.1 « 5.1
1433
42.1 « 4.9
1121
45.3 « 4.6
467
47.2 « 4.2
<0.001
¯9
10–12
13–15
>16
80 (2.6)
1152 (38.1)
1376 (45.5)
413 (13.7)
37 (2.6)
553 (38.6)
630 (44.0)
213 (14.9)
32 (2.9)
421 (37.6)
522 (46.6)
146 (13.0)
11 (2.4)
178 (38.1)
224 (48.0)
54 (11.6)
0.478
Father
Age at time of
survey
Educational level ¯9
10–12
13–15
>16
<3.0
3.0–4.9
5.0–7.9
²8
Annual household
income (million
Japanese Yen)
2984
45.7 « 5.9
1419
43.7 « 5.7
1103
46.9 « 5.4
462
48.9 « 5.2
<0.001
167 (5.6)
1099 (36.8)
785 (26.3)
938 (31.4)
510 (19.0)
1230 (45.8)
722 (26.9)
226 (8.4)
82 (5.8)
508 (35.6)
385 (27.0)
451 (31.6)
252 (19.5)
594 (46.0)
347 (26.9)
98 (7.6)
56 (5.1)
409 (37.1)
292 (26.5)
346 (31.4)
194 (19.6)
446 (45.1)
263 (26.6)
87 (8.8)
29 (6.3)
182 (39.6)
108 (23.5)
141 (30.7)
64 (15.7)
190 (46.7)
112 (27.5)
41 (10.1)
0.637
0.481
SD, standard deviation. SDQ, Strength and Difficulties Questionnaire. IQR, interquartile range is the 75th and 25th percentile
p value by one-way ANOVA, »2 test, and Kruskal-Wallis test, which were used to compare data among elementary, junior high, and senior high school
children.
survey. The third exposure factor was the child’s age at
which they were given personal mobile devices, according
to answers by parents to the following question: “At what
age did your child first receive a personal mobile device
such as a cell phone or tablet?” The fourth exposure factor
was the duration of personal mobile device usage, indicat-
ing that holding years were calculated using the age at
which a child had a personal mobile device and that at the
time of survey.
2.4 Assessment outcome
We used the SDQ of the common methods for assessing
behavioral and mental health problems among children
and adolescents aged 4–17 in questionnaires, which were
completed by the children’s parents or teachers [7]. The
SDQ consists of 25 items, each rated as being not true (0),
somewhat true (1), or certainly true (2). The items are
divided into five subscales covering conduct problems,
hyperactivity, emotional symptoms, peer problems, and
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Table 2 Child’s age at first use of a mobile device and the duration of use.
Age at first use of a mobile device
Duration of mobile device usage
Age at first having a personal mobile device
Duration for having a personal mobile device
All children
Median (IQR)
7.0 (5.0, 10.0)
5.0 (3.0, 7.0)
12.0 (8.0, 13.0)
2.0 (1.0, 3.0)
School type
Elementary
school children
Median (IQR)
6.0 (4.0, 8.0)
4.0 (2.0, 6.0)
8.0 (7.0, 10.0)
2.0 (1.0, 3.0)
Junior high
school children
Median (IQR)
9.0 (6.0, 11.0)
5.0 (3.0, 8.0)
12.0 (11.0, 13.0)
2.0 (1.0, 3.0)
Senior high
school children
Median (IQR)
10.0 (7.0, 12.0)
6.0 (3.0, 9.0)
14.0 (12.0, 15.0)
2.0 (1.0, 4.0)
p
<0.001
<0.001
<0.001
0.49
IQR, interquartile range. p value by Kruskal-Wallis test, which were used to compare median among elementary, junior high, and senior high school
children.
prosocial behavior [7]. Summing up the scores on the four
subscales,
i.e., excluding prosocial behavior, gives the
SDQ total difficulties score (TDS), which can range from
0 to 40. The TDS from the Japanese version of the SDQ
has a cut-off score of 12/13 for normal/borderline and 15/
16 for borderline/high [16]. In this study, according to the
parents’ answers,
the children were divided into two
groups—normal or borderline/high—based on the TDS
and five subscales. The cut-off score for the five subscales
of conduct problems, hyperactivity, emotional symptoms,
peer problems, and prosocial behavior were 3/4, 5/6, 3/4,
3/4, and 6/5 for the normal and borderline/high groups,
respectively [8].
2.5 Covariates
Based on previous studies, we used several covariates, in-
cluding the children’s age at the time of survey, sex, and
history of developmental concerns at health checkups,
health-related quality of life, sleep problems, internet ad-
diction, school type, and interaction between a child’s mo-
bile device usage and school type, all of which had poten-
tial confounding effects on a child’s mobile device usage
and child behavioral problems based on the associations
noted in this study (Table 4 and Supplemental Table 2 and
3) [9, 16, 19]. In fact, we assessed the generic health-
related quality of life for children using the KIDSCREEN-
10 questionnaire [21]; this questionnaire consists of 10
items, including the physical, psychological, and social di-
mensions of wellbeing [25]. We also assessed the tendency
toward internet dependence using a modified Internet Ad-
diction Test, which comprised 11 items [29, 32]. These
questionnaires were completed by the children. We as-
sessed sleep problems in the children based on 19 items
from the short version of the sleep questionnaire for chil-
dren [22], which was answered by their parents. Moreover,
we used covariates to assess the interactions between a
child’s mobile device usage and school type. The children
included in this cross-sectional study had a wide birth-year
period of 10 years, and their mobile device penetration rate
had rapidly changed in the meantime [18]. The children’s
behavioral problems not only changed as they developed
but were also related to schooling from elementary to high
school. We conducted school-specific analyses because we
believed that the school type affected both the exposure and
outcomes. Meanwhile, we did not use covariates of paren-
tal household income, educational levels, and the presence
of siblings as these factors were not associated with a
child’s mobile device usage in this study (Table 4). This
indicates that the association between mobile device usage
and social class could be weakening.
2.6 Statistical analysis
Simple associations between the parents’ and children’s
characteristics and the child’s age at first use of a mobile
device and duration of use as well as the children’s behav-
ioral problems were assessed using one-way ANOVA, the
»2 test, and the Kruskal–Wallis test. A logistic regression
analysis was performed for all children, stratified by ele-
mentary, junior high, and senior high school; the outcome
(TDS and sub-analyses of child behavioral problems by
SDQ) was considered the dependent variable, whereas ex-
posure (child’s age at first use of a mobile device and the
duration of use) was considered the independent variable.
The covariates included child age at time of survey, sex,
sleep problems, internet addiction, health-related quality of
life, history of developmental concerns assessed at health
checkups, and school type. The logistic regression analysis
among children stratified by school type was adjusted for
the same variables, except for school type. p < 0.05 was
considered statistically significant. All statistical analyses
were performed using SPSS software for Windows (ver-
sion 21.0J; IBM, Armonk, NY, USA).
3 Results
A total of 3,021 children,
including 1,433 elementary
school, 1,121 junior high school, and 467 senior high
school children, were involved in this study. The children’s
and parents’ characteristics and the differences among
school types are shown in Table 1. The children’s and
parents’ ages at the time of survey, the child’s internet addi-
ction score, and the rate of having personal mobile devices
increased as the children progressed from elementary to
senior high school. The rate of restricted mobile device
usage on weekdays and holidays and the health-related
quality of life scores decreased as the children progressed
from elementary to senior high school. Moreover, the his-
tory of developmental concerns assessed at health check
ups and sleep problem scores differed among elementary,
junior high, and senior high school children (Table 1).
Environmental Health and Preventive Medicine (2023) 28:22
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Table 3 Number (%) of child behavioral problems based on the TDS and subscales according to SDQ.
TDS
Categories
Normal
Borderline/High
Overall
Number (%)
2586 (85.6)
435 (14.4)
School type
Elementary school
Number (%)
1205 (84.1)
228 (15.9)
Junior high school
Number (%)
972 (86.7)
149 (13.3)
Senior high school
Number (%)
409 (87.6)
58 (12.4)
p
0.072
Conduct problems
Normal
Borderline/High
2727 (90.3)
294 (9.7)
1260 (87.9)
173 (12.1)
Hyperactivity/inattention
Normal
Borderline/High
2727 (90.3)
294 (9.7)
1257 (87.7)
176 (12.3)
Emotional problems
Normal
Borderline/High
2598 (86.0)
423 (14.0)
1228 (85.7)
205 (14.3)
Peer problems
Normal
Borderline/High
2594 (85.9)
427 (14.1)
1255 (87.6)
178 (12.4)
1032 (92.1)
89 (7.9)
1036 (92.4)
85 (7.6)
964 (86.0)
157 (14.0)
949 (84.7)
172 (15.3)
435 (93.1)
32 (6.9)
434 (92.9)
33 (7.1)
406 (86.9)
61 (13.1)
390 (83.5)
77 (16.5)
<0.001
<0.001
0.798
0.031
Prosocial behavior
1011 (70.7)
418 (29.3)
TDS, Total difficulties score. SDQ, Strength and Difficulties Questionnaire. P value by »2 test, which was used to compare the data among elementary,
junior high, and senior high school children.
Normal
Borderline/High
2006 (66.6)
1005 (33.4)
715 (64.0)
403 (36.0)
280 (60.3)
184 (39.7)
<0.001
The median age at first use of a mobile device and the
duration of use was 7.0 and 5.0 years overall, 6.0 and 4.0
among elementary school children, 9.0 and 5.0 among
junior high school children, and 10.0 and 6.0 among senior
high school children, respectively (Table 2). The distribu-
tion of child age at first use of a mobile device is shown
in Supplemental Table 1. The number of borderline/high
(cases) according to TDS was 435 (14.4%) overall, 228
(15.9%) among elementary school children, 149 (13.3%)
among junior high school children, and 58 (12.4%) among
senior high school children (Table 3). The five subscales
of childhood behavioral problems according to SDQ are
shown in Table 3. The associations between the age at
which a child first used a mobile device and basic partic-
ipant information are shown in Table 4, both unstratified
and stratified by school type. Among all children, we ob-
served positive associations between the child’s age at first
use of a mobile device and the child’s and parent’s age at
the time of survey. Negative associations were observed
between the health-related quality of life score and sleep
problems score. The age of the children at first use of a
mobile device differed by their sex, history of develop-
mental concerns assessed at health checkups, possession
of personal mobile devices, and mobile device restriction
on weekdays and holidays. When the children were strati-
fied by school type, their age at first use of a mobile device
was associated with the child’s and parent’s age at the time
of survey, their sex, their history of developmental con-
cerns assessed at health checkups,
their health-related
quality of life, their sleep problems, and their internet ad-
diction, among at least one school type (Table 4).
The associations between child behavioral problems
(TDS) and the characteristics of participants among all
children and among those stratified by school type are
shown in Supplemental Tables 2 and 3. Among all chil-
dren, the prevalence of child behavioral problems differed
by the child’s and mother’s age at the time of survey, their
sex, presence of siblings, their history of developmental
concerns assessed by medical checkup, mobile device re-
strictions on weekdays and holidays, their health-related
quality of life, their sleep problems, their internet addic-
tion, and their maternal educational levels (Supplemental
Tables 2 and 3). When stratified by school type, the prev-
alence of the children’s behavioral problems differed by
the children’s age at the time of survey, their sex, presence
of siblings, their history of developmental concerns as-
sessed at health checkups, mobile device restrictions on
weekdays and holidays, their health-related quality of life,
their sleep problems, and their internet addiction, among at
least one school type (Supplemental Tables 2 and 3).
According to the logistic regression analysis among all
children, compared to the normal group, the adjusted odds
ratios of the borderline/high group significantly decreased
with increasing child age at first use of a mobile device
(95% CI = 0.85 [0.77, 0.93]); by contrast, it significantly
increased with increasing duration for use of a mobile
device (95% CI = 1.20 [1.08, 1.33]) (Table 5 and Fig. 2).
In the logistic regression analysis stratified by school type,
compared to the normal group, the adjusted odds ratios of
child behavioral problems for the borderline/high group
significantly decreased with increasing child’s age at first
use of a mobile device (95% CI = 0.87 [0.81, 0.93]) and
significantly increased with increasing duration for use of a
mobile device (95% CI = 1.15 [1.08, 1.23]) among ele-
mentary school children. However, the adjusted odds ra-
tios for the child behavioral problems were not signifi-
cantly associated with the child’s age and duration of
mobile device use among junior and senior high school
Environmental Health and Preventive Medicine (2023) 28:22
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Table 4 Associations between child’s age at first use of a mobile device and characteristics of participants.
Categories
All children
Median (IQR)
r
School type
Elementary school children
Median (IQR)
r
Junior high school children
Median (IQR)
r
High school children
r
Median (IQR)
Child
Age at time of survey
Sex
Siblings
History of
developmental
concerns
Boy
Girl
No
Yes
No
Yes
6.0 (5.0, 10.0)**
7.0 (5.0, 10.0)
7.0 (5.0, 10.0)
7.0 (5.0, 10.0)
7.0 (5.0, 10.0)**
6.0 (5.0, 9.0)
Personal mobile device use and restriction
Having personal
mobile devices
No
Yes
6.0 (4.0, 8.0)**
7.0 (5.0, 10.0)
Restricted use of
mobile devices
on weekdays
Restricted use of
mobile devices
on holidays
Child health quality
Health-related
quality of life
Sleep problems
Internet addiction
Mother
Age at time of survey
Educational level
Father
Age at time of survey
Educational level
Annual household
income (million
Japanese Yen)
No
Yes
No
Yes
8.0 (5.0, 10.0)**
7.0 (5.0, 9.0)
7.5 (5.0, 10.0)**
7.0 (5.0, 9.0)
¯9
10–12
13–15
>16
¯9
10–12
13–15
>16
<3.0
3.0–4.9
5.0–7.9
²8
7.0 (5.0, 10.0)
7.0 (5.0, 10.0)
7.0 (5.0, 10.0)
7.0 (5.0, 10.0)
7.0 (5.0, 10.0)
7.0 (5.0, 10.0)
7.0 (5.0, 10.0)
7.0 (5.0, 10.0)
7.0 (5.0, 10.0)
7.0 (5.0, 10.0)
7.0 (5.0, 10.0)
7.0 (5.0, 10.0)
0.466**
0.272**
0.131**
¹0.031
5.0 (3.0, 7.0)**
6.0 (4.0, 8.0)
6.0 (4.0, 8.0)
6.0 (4.0, 8.0)
6.0 (4.0, 8.0)
5.5 (3.0, 7.0)
6.0 (4.0, 7.0)
6.0 (3.0, 8.0)
6.0 (4.0, 8.0)
6.0 (4.0, 8.0)
6.0 (4.0, 8.0)
6.0 (4.0, 8.0)
8.0 (5.0, 10.0)**
10.0 (6.0, 12.0)
8.0 (6.0, 11.0)
9.0 (6.0, 11.0)
9.0 (6.0, 11.0)*
7.0 (6.0, 10.0)
8.0 (6.0, 10.0)
9.0 (6.0, 11.0)
9.0 (6.0, 11.0)
9.0 (6.0, 11.0)
9.0 (6.0, 11.0)
9.0 (6.0, 11.0)
10.0 (6.0, 12.0)**
10.0 (7.0, 12.0)
10.5 (6.0, 12.3)
10.0 (7.0, 12.0)
10.0 (7.0, 12.0)
10.0 (6.0, 12.0)
15.0
10.0 (7.0, 12.0)
10.0 (6.0, 12.0)
10.0 (7.0, 13.0)
10.0 (6.0, 12.0)
10.0 (7.3, 13.0)
¹0.097**
¹0.118**
0.002
0.013
¹0.054*
¹0.118**
¹0.072*
¹0.048
¹0.072*
¹0.080
¹0.113*
¹0.024
0.251**
0.157**
0.061*
0.030
5.0 (4.0, 8.0)
6.0 (4.0, 7.0)
6.0 (4.0, 8.0)
6.0 (4.0, 8.0)
8.0 (5.0, 10.0)
8.0 (6.0, 11.0)
9.0 (6.0, 11.0)
9.0 (6.0, 11.0)
10.0 (6.0, 12.0)
10.0 (6.0, 12.0)
10.0 (7.0, 12.0)
10.5 (7.8, 14.0)
0.251**
0.144**
0.112**
0.082
5.0 (3.8, 7.0)
6.0 (3.0, 7.0)
6.0 (4.0, 8.0)
6.0 (4.0, 8.0)
6.0 (4.0, 8.0)
6.0 (4.0, 7.0)
6.0 (4.0, 8.0)
6.0 (3.8, 8.0)
10.0 (6.3, 12.0)
9.0 (6.0, 11.0)
8.0 (6.0, 10.0)
9.0 (6.0, 11.0)
9.0 (6.0, 11.0)
9.0 (6.0, 11.0)
9.0 (6.0, 11.0)
9.0 (6.0, 11.0)
10.0 (7.0, 12.0)
10.0 (6.0, 12.0)
10.0 (6.0, 12.0)
10.0 (7.0, 12.0)
10.0 (6.0, 12.0)
10.0 (6.0, 12.0)
10.0 (7.0, 13.0)
10.0 (6.5, 12.0)
IQR, interquartile range is the 75th and 25th percentile. r, Spearman’s rank correlation coefficient.
*P < 0.05, **P < 0.01 by one-way ANOVA, »2 test, and Kruskal-Wallis test, which were used to compare data among all children, and among those
stratified by school type
children (Table 5 and Fig. 2). The effects of the interaction
between exposure (age at first use of a mobile device and
the duration) and the school type were statistically signifi-
cant (Table 5, and Supplemental Table 4 and 8).
The adjusted odds ratios of the five subscales—conduct
problems, hyperactivity, emotional symptoms, peer prob-
lems, and prosocial behavior—according to the logistic
regression analysis results for all children and those strati-
fied by the school type are shown in Table 6 and Fig. 2
(for the borderline/high and normal groups). Among all the
children and among elementary school children only, the
adjusted odds ratios for hyperactivity and peer problems
significantly decreased with increasing child’s age at first
use of a mobile device and decreasing child’s duration for
the use of a mobile device. Among all the children and
among those in elementary and junior high school, the
adjusted odds ratios for emotional symptoms significantly
decreased with increasing age at first use of a mobile de-
vice and decreasing duration for use of a mobile device.
Among all the children in senior high school, the adjusted
Environmental Health and Preventive Medicine (2023) 28:22
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Table 5 OR for child behavioral problems (TDS) according to child’s mobile device usage.
Exposure
All children
OR (95% CI)a
P for
interaction
Elementary school
Junior high school
Senior high school
OR (95% CI)b
OR (95% CI)b
OR (95% CI)b
Age at first use of a mobile device
0.85 (0.77, 0.93)** 0.009
1.20 (1.08, 1.33)** 0.005
Duration for use of a mobile device
Age at first having personal mobile devices
0.776
0.94 (0.79, 1.11)
0.988
Duration for having personal mobile devices 1.10 (0.90, 1.34)
TDS; total difficulties score.
a (ALL); The logistic regression analysis models were adjusted for child age at time of survey, sex, history of developmental concerns, health-related
quality of life, sleep problems, internet addiction, school type, and interaction between exposure and school type.
b (Stratified by school type); The logistic regression analysis models were adjusted for child age at time of survey, sex, history of developmental
concerns, health-related quality of life, sleep problems, and internet addiction.
*P < 0.05, **P < 0.01
P for interaction; each exposure (child’s age at their first use of a mobile device and duration of use) and school type.
0.87 (0.81, 0.93)**
1.15 (1.08, 1.23)**
0.89 (0.77, 1.02)
1.13 (0.98, 1.30)
1.02 (0.96, 1.09)
0.98 (0.92, 1.04)
0.95 (0.85, 1.05)
1.06 (0.95, 1.17)
0.99 (0.91, 1.08)
1.01 (0.93, 1.10)
0.90 (0.80, 1.02)
1.11 (0.98, 1.25)
odds ratios for conduct problems significantly decreased
with increasing age at first use of personal mobile devices
and decreasing duration for having personal mobile de-
vices (Table 6). In the supplemental logistic regression
analysis stratified by the children’s sex, boys who were
younger at their first use of a mobile device and used such
devices for longer durations were found to be hyperactive,
have emotional instabilities, and experience peer problems
in elementary school but displayed opposite behaviors in
senior high school. Girls who were younger at their first
use of mobile devices and used such devices for longer
durations were found to have emotional instabilities in
junior high school but displayed opposite behaviors in
senior high school (Supplemental Tables 4–7).
4 Discussion
In this cross-sectional study, children who were younger at
their first use of a mobile device and used such devices for
longer durations represented more problematic behaviors
according to the SDQ. Moreover, when stratified by school
type, the above associations remained statistically signifi-
cant for elementary school children, but not for junior high
school and older children (Table 5). Our results suggest
that elementary school children are more sensitive to mo-
bile device usage than junior high and senior high school
children because they are in the early stages of socializa-
tion and their behavioral and mental development is rap-
idly growing. Four exposure factors were determined in
this study: the child’s age at first use of a mobile device
and the duration of use, and the child’s age at their first
owning of a personal mobile device and the duration of
owning. Given the rapid spread of mobile devices in recent
years, elementary school children have started using such
devices earlier than high school children did. By contrast,
elementary school children used mobile devices for shorter
periods than high school children. However, elementary
school children represented more problematic behaviors,
suggesting that starting to use mobile devices at an early
age causes negative effects on developmental immature
neural behaviors. Through a cross-sectional and longitudi-
nal survey, the Danish National Birth Cohort has reported
negative prenatal and postnatal effects of cell phone use on
emotional and behavioral difficulties in children aged 7
and 11 [4, 5, 27]; our study corroborated the results of this
study, showing that early exposure to mobile devices can
cause developmental impacts on school-aged children.
Using SDQ subscales, our study assessed problematic
behaviors among school children aged 7–17 years. Ele-
mentary school children who were younger at their first
use of a mobile device and used these devices for longer
durations had increased hyperactivity–inattention and dis-
played peer and emotional problematic behaviors. More-
over, junior high school children who were younger at
their first use of a mobile device and used such devices
for longer durations represented more emotional problem-
atic behaviors. One possible reason for these differences in
the relationships with the school type is that the contents
of mobile device use may differ by the school type. Differ-
ent effects with several content types were evaluated as
screen time exposure, which has been noted as a risk factor
for sensory development impacts, emotional and behavior-
al problems, sleep disturbances, and internet addiction
among school-aged children [6, 9]. A Swedish study tar-
geting teenagers described that using mobile devices for
social networking services is associated with increased
communication skills as a positive effect; however, it is
also associated with increased anxiety as a negative effect
[10]. The results of our study corroborated those of the
Swedish study, which stated that early exposure to mobile
devices could exacerbate emotional instabilities in teen-
agers. While the duration of personal mobile device usage
did not differ by the children’s school type (Table 2), se-
nior high school children who were younger and had a
personal mobile device for a longer period represented
more conducted problematic behaviors. This suggests a
correlation between having a mobile device and exhibiting
oppositional and defiant behaviors among high-school
teenagers. When stratified by sex, only boys exhibited an
association between mobile device usage and hyperactivity
and peer problems. Moreover, associations between mo-
bile device usage and emotional problems were observed
Environmental Health and Preventive Medicine (2023) 28:22
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Fig. 2 Behavioral problems in children and child age at first use of a mobile device
OR: odds ratio. CI; confidence interval. TDS; total each difficulties score.
The OR (95% CI) for children of borderline/high group, who was compared to children of normal group based on total each TDS and the
five subscales—conduct problems, hyperactivity, emotional symptoms, peer problems, and prosocial behavior were calculated by the
logistic regression analysis, which was adjusted for child age at time of survey, sex, history of developmental concerns, health-related
quality of life, sleep problems, internet addiction, school type, and interaction between exposure and school type among all children.
The logistic regression analysis among children stratified by school type was adjusted for the same variables excluding school type and
interaction between exposure and school type. *P < 0.05, **P < 0.01
Environmental Health and Preventive Medicine (2023) 28:22
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Table 6 OR of subscale of SDQ according to child’s mobile device usage.
Exposure
All children
OR (95% CI)a
Conduct problems
Age at first use of a mobile device
0.97 (0.87, 1.08)
Duration of mobile device use
1.02 (0.91, 1.14)
Age at first having personal mobile devices 0.95 (0.78, 1.15)
Duration of having personal mobile devices 1.07 (0.85, 1.33)
Elementary school
P for interaction OR (95% CI)b
Junior high school Senior high school
OR (95% CI)b
OR (95% CI)b
0.543
0.741
0.696
0.831
0.99 (0.93, 1.06)
1.01 (0.94, 1.08)
0.91 (0.78, 1.06)
1.11 (0.95, 1.30)
1.01 (0.94, 1.08)
0.99 (0.93, 1.07)
0.95 (0.85, 1.08)
1.05 (0.93, 1.19)
1.01 (0.91, 1.12)
0.99 (0.89, 1.10)
0.87 (0.76, 0.99)*
1.15 (1.01, 1.32)*
Hyperactivity/inattention
Age at first use of a mobile device
0.89 (0.79, 0.99)* 0.173
0.264
Duration of mobile device use
1.12 (0.99, 1.25)
Age at first having personal mobile devices 0.91 (0.74, 1.12)
0.829
0.875
Duration of having personal mobile devices 1.09 (0.86, 1.39)
Age at first use of a mobile device
Duration of mobile device use
Age at first having personal mobile devices 1.01 (0.85, 1.19)
Duration of having personal mobile devices 1.03 (0.85, 1.26)
Emotional problems
0.91 (0.83, 1.00)* 0.541
1.15 (1.04, 1.26)** 0.129
0.652
0.996
Peer problems
Age at first use of a mobile device
0.93 (0.85, 1.02)
Duration of mobile device use
1.09 (0.99, 1.20)
Age at first having personal mobile devices 0.90 (0.77, 1.06)
Duration of having personal mobile devices 1.16 (0.96, 1.40)
0.490
0.350
0.191
0.130
0.93 (0.87, 1.00)*
1.08 (1.00, 1.15)*
0.94 (0.80, 1.11)
1.06 (0.90, 1.25)
0.96 (0.89, 1.04)
1.04 (0.96, 1.12)
0.91 (0.80, 1.04)
1.09 (0.96, 1.24)
1.01 (0.90, 1.13)
0.99 (0.88, 1.11)
0.95 (0.81, 1.11)
1.05 (0.90, 1.23)
0.92 (0.87, 0.98)*
1.08 (1.02, 1.15)*
0.97 (0.84, 1.11)
1.03 (0.90, 1.18)
0.92 (0.87, 0.97)**
1.09 (1.03, 1.15)**
0.98 (0.88, 1.08)
1.03 (0.92, 1.14)
0.99 (0.91, 1.08)
1.01 (0.93, 1.10)
0.97 (0.86, 1.10)
1.03 (0.91, 1.16)
0.93 (0.87, 0.99)*
1.07 (1.01, 1.15)*
0.93 (0.81, 1.07)
1.07 (0.93, 1.23)
0.97 (0.92, 1.02)
1.03 (0.98, 1.09)
0.96 (0.88, 1.06)
1.04 (0.94, 1.14)
1.00 (0.92, 1.07)
1.00 (0.93, 1.08)
1.13 (0.99, 1.28)
0.89 (0.78, 1.01)
Prosocial behavior
Age at first use of a mobile device
0.98 (0.91, 1.05)
Duration of mobile device use
1.01 (0.95, 1.09)
Age at first having personal mobile devices 1.05 (0.93, 1.19)
Duration of having personal mobile devices 0.90 (0.77, 1.04)
SDQ; The strengths and difficulties questionnaire.
a (ALL); The logistic regression analysis models were adjusted for child age at time of survey, sex, history of developmental concerns, health-related
quality of life, sleep problems, internet addiction, school type, and interaction between exposure and school type.
b (Stratified by school type); The logistic regression analysis models were adjusted for child age at time of survey, sex, history of developmental
concerns, health-related quality of life, sleep problems, and internet addiction.
P for interaction; each exposure (child’s age at their first use of a mobile device and duration of use) and school type.
*P < 0.05, **P < 0.01
0.98 (0.94, 1.03)
1.02 (0.97, 1.07)
1.05 (0.95, 1.17)
0.95 (0.85, 1.06)
1.01 (0.97, 1.05)
0.99 (0.95, 1.03)
1.04 (0.96, 1.12)
0.96 (0.89, 1.04)
1.00 (0.95, 1.06)
1.00 (0.95, 1.06)
0.99 (0.91, 1.07)
1.01 (0.93, 1.10)
0.513
0.690
0.606
0.235
in elementary school boys and junior high school girls
(Supplemental Tables 4–7). The above results may be
related to differences in developmental properties and tim-
ing based on the children’s sex [16, 19]. The adverse
effects of having personal mobile devices are inconclusive
in this cross-sectional analysis, and a longitudinal evalua-
tion throughout adolescence is needed in future studies.
Parental supervision of their children’s use of mobile
devices is recommended. However,
the results of this
study remained unchanged even after adjusting the paren-
tal usage restrictions for weekdays and holidays (Supple-
mental Tables 8 and 9); taken together, our study demon-
strates the importance of delaying the use of mobile de-
vices rather than imposing parental restrictions. In our
study, 15.3% of the children aged ¯3 years were found
to have used mobile devices according to their parents,
which is lower than the rate of 50.2% for children who
used the internet according to a 2019 Japanese survey [18].
This difference may be attributed to this study targeting a
wide birth-year period of 10 years and excluding the use of
internet with a wired connection (TV or personal com-
puter). In our study, 69.7% of the elementary school-aged
children had personal mobile devices, higher than the rates
of 49.5% and 41.0% for smartphones and tablets, respec-
tively, in 2019 of Japanese’s survey [18]. This difference
may be attributed to the fact that this study included mo-
bile game devices and other devices as well. In addition,
during the survey period in 2020, the penetration of mobile
devices among the school-aged children in Hokkaido pre-
fecture increased because the administration started to pro-
vide mobile devices to a part of school children for online
classes.
4.1 Strengths
This study was conducted from 2020 to 2021 and allowed
us to examine recent associations between mobile device
usage and behavioral problems in children aged 7–17
years. This study used four exposure factors, including
the age at their first use of a mobile device and the duration
of usage before or after owing a personal mobile device.
Environmental Health and Preventive Medicine (2023) 28:22
10 of 11
This facilitated the evaluation of both early exposure to
and having mobile devices. Previous studies have reported
that the early use of mobile devices disrupts healthy activ-
ities and increases the risk of sleep problems and internet
addiction and lowers the health-related quality of life [2, 3,
31]. Children with developmental disorders often exhibit
symptoms such as insomnia and anxiety [1]. These factors
may be mutually related with mobile device usage and
behavioral problems in children. Our results were obtained
after adjusting for mutually related potential confounders,
including sleep problems, internet addiction, health-related
quality of life, and developmental concerns.
4.2 Limitations
This cross-sectional study could not establish a clear causal
direction. In fact, a previous study reported that children
with developmental disorders are inclined toward heavy
use of mobile devices owing to their weak self-regulation
and the presence of restricted interests and repetitive behav-
iors [14]. Also, parents of inattentive and hyperactive chil-
dren are more likely to use mobile devices when calming
down their children [20]. Furthermore, in this study, the
parents retrospectively provided the age at which their chil-
dren first used a mobile device and the duration of use;
hence, recall bias may be possible. The differing results
by school type may be associated with differences in the
sample size, the rate of having personal mobile devices, and
the varying content used among school types.
5 Conclusions
Our findings suggest that elementary school children are
more sensitive to mobile device usage than older children.
Children who are younger at their first use of a mobile
device and use such devices for longer durations may be
prone to emotional instabilities as teenagers. Children who
are younger and have had a personal mobile device for
longer may show oppositional behaviors as teenagers.
However,
longitudinal follow-up studies are needed to
clarify whether these problems disappear with age.
Supplementary information
The online version contains supplementary material available at https://doi.org/
10.1265/ehpm.22-00245.
Additional file 1: Supplemental Table 1. Distribution of child’s age at first
use of a mobile device. Supplemental Table 2. Associations between child
behavioral problems (TDS) and characteristics of participants (continuous
variable). Supplemental Table 3. Associations between child behavioral
problems (TDS) and characteristics of participants (categorical variable).
Supplemental Table 4. OR for child behavioral problems (TDS) according
to the child’s mobile device usage (boys). Supplemental Table 5. OR for
subscales of SDQ according to children’s mobile device usage (boys). Sup-
plemental Table 6. OR for child behavioral problems (TDS) according to
child’s mobile device usage (girls). Supplemental Table 7. OR of subscale
of SDQ according to child’s mobile device usage (girls). Supplemental Ta-
ble 8. OR for child behavioral problems (TDS) according to child’s mobile
device usage (Additional adjustment). Supplemental Table 9. OR of sub-
scale of SDQ according to child’s mobile device usage (Additional adjust-
ment).
Declaration
Ethics approval and consent to participate
The institutional ethical board for human gene and genome studies at Hokkaido
University Center for Environmental and Health Sciences (reference no. 139,
August 30, 2022) and Hokkaido University Graduate School of Medicine (May 31,
2003) approved the study protocol. Written informed consent was obtained from
all participants at the time of enrollment.
Consent for publication
Not applicable.
Availability of data and material
The datasets generated and/or analyzed during the current study are not publicly
available because the study involves human participants with a nondisclosure
provision of individual data stated in the written informed consent in order to
prevent compromise of study participants’ privacy but are available from the
corresponding author upon reasonable request.
Competing interests
The authors declare no conflict of interest.
Funding
This work was supported by the Grant-in-Aid for Health Science Research from
the Japanese Ministry of Internal Affairs and Communications (JPMI10001).
Authors’ contributions
Reiko Kishi designed the study and developed the methodology. Chihiro
Miyashita, Keiko Yamazaki, Naomi Tamura, and Atsuko Ikeda-Araki, collected
the data and performed the analyses. Chihiro Miyashita, Keiko Yamazaki, and
Naomi Tamura drafted the manuscript. Reiko Kishi, Satoshi Suyama, Takashi
Hikage, Manabu Omiya, and Masahiro Mizuta provided critical revision of the
manuscript. All authors take full responsibility for the content of this paper. All
authors read and approved the final manuscript.
Acknowledgements
We would like to express our appreciation to all of the study participants of the
Hokkaido Study on Environment and Children’ Health. We also express our
profound gratitude to all personnel in the hospitals and clinics that collaborated
including Sapporo Toho Hospital, Keiai Hospital, Endo Kikyo
with the study,
Maternity Clinic, Shiroishi Hospital, Memuro Municipal Hospital, Aoba Ladies
Clinic, Obihiro-Kyokai Hospital, Akiyama Memorial Hospital, Sapporo Medical
University Hospital, Hokkaido University Hospital, Kitami Red Cross Hospital,
Hoyukai Sapporo Hospital, Gorinbashi Hospital, Hashimoto Clinic, Asahikawa
Medical College Hospital, Hakodate Central General Hospital, Ohji General
Hospital, Nakashibetsu Municipal Hospital, Sapporo Tokushukai Hospital, Asahi-
kawa Red Cross Hospital, Wakkanai City Hospital, Kushiro Rosai Hospital,
Sapporo-Kosei General Hospital, Shibetsu City General Hospital, Nikko Memorial
Hospital, Sapporo City General Hospital, Kohnan Hospital, Hakodate City
Hospital, Hokkaido Monbetsu Hospital, Tenshi Hospital, Hakodate Goryoukaku
Hospital, Nakamura Hospital, Kin-ikyo Sapporo Hospital, Kitami Lady’s Clinic,
Engaru-Kosei General Hospital, Kushiro Red Cross Hospital, Nayoro City General
Hospital, and Obihiro-Kosei General Hospital.
Received: 11 October 2022, Accepted: 3 March 2023
Published online: 12 April 2023
References
1. Byun YH, Ha M, Kwon HJ, Hong YC, Leem JH, Sakong J, et al. Mobile
phone use, blood lead levels, and attention deficit hyperactivity symptoms
in children: a longitudinal study. PLoS One. 2013;8:e59742. https://doi.org/
10.1371/journal.pone.0059742.
2. Strasburger VC, Hogan MJ, Mulligan DA, Ameenuddin N, Christakis DA,
Cross C, et al. Children, adolescents, and the media. Pediatrics. 2013;132:
958–61. https://doi.org/10.1542/peds.2013-2656.
3. Hill D, Ameenuddin N, Chassiakos R, Cross C, Hutchinson J, Levine A,
et al. Media and young minds. Pediatrics. 2016;138:e20162591. https://doi.
org/10.1542/peds.2016-2591.
Environmental Health and Preventive Medicine (2023) 28:22
11 of 11
4. Divan HA, Kheifets L, Obel C, Olsen J. Cell phone use and behavioural
problems in young children. J Epidemiol Community Health. 2012;66:
524–9. https://doi.org/10.1136/jech.2010.115402.
5. Divan HA, Kheifets L, Obel C, Olsen J. Prenatal and postnatal exposure to
cell phone use and behavioral problems in children. J Epidemiol. 2008;19:
S94–SS5.
6. Eirich R, McArthur BA, Anhorn C, McGuinness C, Christakis DA, Madigan
S. Association of screen time with internalizing and externalizing behavior
problems in children 12 years or younger: A systematic review and meta-
analysis. JAMA Psychiatry. 2022;79:393–405. https://doi.org/10.1001/
jamapsychiatry.2022.0155.
7. Goodman R. The strengths and difficulties questionnaire: a research note.
J Child Psychol Psychiatry. 1997;38:581–6. https://doi.org/10.1111/j.1469-
7610.1997.tb01545.x.
8. Goodman R. Psychometric properties of
the strengths and difficulties
questionnaire. J Am Acad Child Adolesc Psychiatry. 2001;40:1337–45.
https://doi.org/10.1097/00004583-200111000-00015.
9. Hosokawa R, Katsura T. Association between mobile technology use and
in early elementary school age. PLoS One. 2018;13:
child adjustment
e0199959. https://doi.org/10.1371/journal.pone.0199959.
10. Jenkins RH, Shen C, Dumontheil I, Thomas MSC, Elliott P, Röösli M, et al.
Social networking site use in young adolescents: association with health-
related quality of life and behavioural difficulties. Comput Human Behav.
2020;109. https://doi.org/10.1016/j.chb.2020.106320.
11. Kishi R, Araki A, Minatoya M, Hanaoka T, Miyashita C, Itoh S, et al. The
Hokkaido Birth Cohort Study on Environment and Children’s Health: cohort
profile-updated 2017. Environ Health Prev Med. 2017;22:46. https://doi.org/
10.1186/s12199-017-0654-3.
12. Kishi R, Ikeda-Araki A, Miyashita C, Itoh S, Kobayashi S, Ait Bamai Y, et al.
Hokkaido birth cohort study on environment and children’s health: cohort
profile 2021. Environ Health Prev Med. 2021;26:59. https://doi.org/10.1186/
s12199-021-00980-y.
13. Kishi R, Kobayashi S, Ikeno T, Araki A, Miyashita C, Itoh S, et al. Ten years
of progress in the Hokkaido birth cohort study on environment and
children’s health: cohort profile—updated 2013. Environ Health Prev
Med. 2013;18:429–50. https://doi.org/10.1007/s12199-013-0357-3.
14. Lawrence AC, Narayan MS, Choe DE. Association of Young Children’s Use
of Mobile devices with their self-regulation. JAMA Pediatr. 2020;174:793–5.
https://doi.org/10.1001/jamapediatrics.2020.0129.
15. Lin HP, Chen KL, Chou W, Yuan KS, Yen SY, Chen YS, et al. Prolonged
touch screen device usage is associated with emotional and behavioral
problems, but not language delay, in toddlers. Infant Behav Dev. 2020;58.
https://doi.org/10.1016/j.infbeh.2020.101424.
16. Matsuishi T, Nagano M, Araki Y, Tanaka Y, Iwasaki M, Yamashita Y, et al.
Scale properties of the Japanese version of the strengths and difficulties
questionnaire (SDQ): a study of infant and school children in community
samples. Brain Dev. 2008;30:410–5. https://doi.org/10.1016/j.braindev.
2007.12.003.
17. McHarg G, Ribner AD, Devine RT, Hughes C, Blair C, Hughes C. Infant
screen exposure links to toddlers’ inhibition, but not other EF constructs: A
propensity score study. Infancy. 2020;25:205–22. https://doi.org/10.1111/
infa.12325.
18. Japanese Cabinet Office; 2020. Survey on internet usage environment for
young people in Japan. https://www8.cao.go.jp/youth/kankyou/internet_
torikumi/tyousa/r01/net-jittai/pdf/sokuhou.pdf. Accessed Jan 21, 2023 (in
Japanese).
19. Moriwaki A, Kamio Y. Normative data and psychometric properties of the
strengths and difficulties questionnaire among Japanese school-aged
children. Child Adolesc Psychiatry Ment Health. 2014;8:1. https://doi.org/
10.1186/1753-2000-8-1.
20. Muñoz-Silva A, Lago-Urbano R, Sanchez-Garcia M, Carmona-Márquez J.
Child/adolescent’s ADHD and parenting stress: the mediating role of family
impact and conduct problems. Front Psychol. 2017;8:2252. https://doi.org/
10.3389/fpsyg.2017.02252.
21. Nezu S, Iwasaka H, Saeki K, Obayashi K, Ishizuka R, Goma H, et al.
Reliability and validity of Japanese versions of KIDSCREEN-27 and
KIDSCREEN-10 questionnaires. Environ Health Prev Med. 2016;21:154–
63. https://doi.org/10.1007/s12199-016-0510-x.
22. Okada M, Kitamura S, Iwadare Y, Tachimori H, Kamei Y, Higuchi S, et al.
Reliability and validity of a brief sleep questionnaire for children in Japan. J
Physiol Anthropol. 2017;36:35. https://doi.org/10.1186/s40101-017-0151-9.
23. Okely AD, Ghersi D, Hesketh KD, Santos R, Loughran SP, Cliff DP, et al. A
collaborative approach to adopting/adapting guidelines—the Australian 24-
hour Movement Guidelines for the early years (birth to 5 years): an
integration of physical activity, sedentary behavior, and sleep. BMC Public
Health. 2017;17:869. https://doi.org/10.1186/s12889-017-4867-6.
24. Poushter J, Bishop C, Chwe H. Social media use continues to rise in
developing countries but plateaus across developed ones; 2018. https://
assets.pewresearch.org/wp-content/uploads/sites/2/2018/06/15135408/
Pew-Research-Center_Global-Tech-Social-Media-Use_2018.06.19.pdf.
Pew Research Center.
25. Ravens-Sieberer U, Auquier P, Erhart M, Gosch A, Rajmil L, Bruil J, et al.
The KIDSCREEN-27 quality of life measure for children and adolescents:
psychometric results from a cross-cultural survey in 13 European countries.
Qual Life Res. 2007;16:1347–56. https://doi.org/10.1007/s11136-007-
9240-2.
26. Roser K, Schoeni A, Röösli M. Mobile phone use, behavioural problems
and concentration capacity in adolescents: A prospective study. Int J Hyg
Environ Health. 2016;219:759–69. https://doi.org/10.1016/j.ijheh.2016.08.
007.
27. Sudan M, Olsen J, Arah OA, Obel C, Kheifets L. Prospective cohort
analysis of cellphone use and emotional and behavioural difficulties in
children. J Epidemiol Community Health. 2016;70:1207–13. https://doi.org/
10.1136/jech-2016-207419.
28. Thomas S, Benke G, Dimitriadis C, Inyang I, Sim MR, Wolfe R, et al. Use
of mobile phones and changes in cognitive function in adolescents. Occup
Environ Med. 2010;67:861–6. https://doi.org/10.1136/oem.2009.054080.
29. Tobe H, Takeuchi K, Hori M. The relationship between the tendency toward
internet dependence and mental health and the psychosocial problems of
students. Jpn J Sch Health. 2010;52:125–34.
30. Tremblay MS, Chaput JP, Adamo KB, Aubert S, Barnes JD, Choquette L,
et al. Canadian 24-hour movement guidelines for the early years (0–4
years): an integration of physical activity, sedentary behaviour, and sleep.
BMC Public Health. 2017;17:874. https://doi.org/10.1186/s12889-017-
4859-6.
31. World Health Organization. Guidelines on physical activity, sedentary
behaviour and sleep for children under 5 years of age. Geneva: World
Health Organization; 2019.
32. Young KS. Caught in the net: how to recognize the sign of Internet addic-
tion and a winning strategy for recovery. New York: John Wiley & Sons.
(Odashima Y, Mainichi Publishing Co.; 1998, translated in Japanese); 1996.
| null |
10.1088_1402-4896_ad0bb9.pdf
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Data availability statement
The data cannot be made publicly available upon publication because they are owned by a third party and the
terms of use prevent public distribution. The data that support the findings of this study are available upon
reasonable request from the authors.
|
Data availability statement The data cannot be made publicly available upon publication because they are owned by a third party and the terms of use prevent public distribution. The data that support the findings of this study are available upon reasonable request from the authors.
|
Phys. Scr. 98 (2023) 125956
https://doi.org/10.1088/1402-4896/ad0bb9
RECEIVED
26 July 2023
REVISED
27 October 2023
ACCEPTED FOR PUBLICATION
10 November 2023
PUBLISHED
22 November 2023
PAPER
Samarium-modified NBT ceramics: a comprehensive exploration of
cumulative effects
Jyothi Neeli1, Nitchal Kiran Jaladi1
Srinivasa Rao Kurapati2
1 Department of Physics, School of Applied Sciences and Humanities, Vignan’s Foundation for Science Technology and Research,
, Nagamani Sangula1, Vijaya Lakshmi Garlapati1 and
Vadlamudi, Guntur-522 213, A.P. India
2 Department of Physics, P.B.N college, Nidubrolu, 522124, A.P, India
E-mail: kiran.nischal@gmail.com
Keywords: rietveld analysis, band gap, color coordinates, vickers hardness, coefficient of friction and wear, VSM study
Abstract
In the present report, ceramic specimens of sodium bismuth titanate [Na0.5(Bi1-xSmx)0.5TiO3] were
prepared through solid-state reaction method with variations in the dopant concentrations
specifically, x = 0.0, 0.1, 0.3, 0.5. The structural, optical, mechanical, and magnetic properties of lead-
free NBT ceramics were investigated. The rhombohedral phase with space group R3c was confirmed
in all prepared ceramic samples using X-ray diffraction patterns and Rietveld analysis. SEM
micrographs and Energy Dispersive x-ray spectroscopy (EDAX) assess the morphology, grain size,
overall structure, and stoichiometry of the developed compounds. FTIR spectroscopy was used for
characterizing and identifying the functional groups. UV–vis spectroscopy revealed that band gap
values decreased as dopant concentration increased, confirming the use of NBT-based perovskite as a
photoactive material. PL spectra at room temperature exhibited reddish-orange emission. Colour
coordinates and CCT values are in the range of 3483 K to 5912 K. At a concentration of x = 0.3, the
materials displayed a high Vickers hardness of 8.20 GPa and exhibited minimal wear with low
frictional coefficient values. Ferromagnetic behaviour at room temperature (RTFM) was detected in
Sm-modified ceramic samples, as confirmed by the VSM study. The cumulative effect impact of the
rare earth dopant cation at the Bi-site of NBT was widespread and demonstrated significant potential
for use in optoelectronic devices.
1. Introduction
The remarkable advancement in science and technology, which has greatly enhanced our quality of life and
made it intricately connected with the evolution of essential materials, has led to a concerted effort to create
materials that meet our needs. In pursuit of this goal, extensive research has been conducted to uncover the
intricate connection between the structural attributes of materials and their inherent properties. Over the past
fifty years, lead-based ferroelectric (FE) and piezoelectric materials have been the subject of intense study due to
their wide variety of potential uses [1, 2]. Several classes of materials are explored as potentially attractive
alternates to lead-based materials, such as KNN, BST, BNT, alkaline niobates and non-perovskite BLSF
structures in order to develop environmental friendly lead-free materials as regulated by the European Union in
2004 [3]. However, researchers have yet to fully comprehend the structure–property correlations of NBT since
Smolenskii et al discovered it in 1960. Na0.5Bi0.5TiO3, a lead-free perovskite-type ceramic with the general
formula ABO3 and rhombohedral symmetry consisting of Na
at the B-site, where
oxygen is octahedrally linked to the B site and the A site is 12-fold coordinated with oxygen has received much
attention [4]. It has an ambient temperature rhombohedral structure with a space group of R 3c. At 250 °C, this
phase changes into a tetragonal phase; at 520 °C, it becomes a cubic phase [5–8]. It exhibits residual polarization
of 38 μC/cm2 and possesses a high curie temperature of 320 °C [9]. Enhanced characteristics of NBT with
appropriate doping at A-site were illustrated by He et al, and Bi-site doping was preferred to obtain superior
at the A-site, and Ti4+
, Bi3+
+
© 2023 IOP Publishing Ltd
Phys. Scr. 98 (2023) 125956
J Neeli et al
performance of NBT [10–12]. Rare-earth (Gd, Yb, Eu, Dy, Nd, and Er) doped NBT systems have previously been
developed by researchers to investigate their optical and magnetic properties. The addition of rare earth ions to
the A site of the NBT sample changes the number of available cations. It improves the polarization of the electric
charge by increasing the oxygen vacancies in the ceramic matrix [13]. From the addition of the Gd3+
ion at the
Bi-site of NBT (x = 0.00–0.02), the paramagnetic behaviour in NBT was distinguished from the diamagnetic
behaviour [14]. E L T França et al [15] proposed the large dielectric constant and the Yb-doped (x = 0.005–0.020)
NBT ceramics exhibit reduced dielectric losses, which makes them suitable for use in technological applications.
Santosh Beharaa et al introduced a Eu3+
doped NBT (x = 0.0–0.08) that offers possibilities for exploiting
concentration-dependent amphotericity in luminescence device applications. Further, proposed Dy3+
NBT (x = 0.00–0.14) amphoteric and site-dependent luminescence variance, which exhibits a strong correlation
between structure–property relationships in material chemistry and holds promise for use in pc-WLEDs and
optoelectronic devices [16, 17]. Kumara Raja Kandula et al, examined the effects of Nd3+
multifunctional properties of Na0.5[Bi1-xNdx]0.5TiO3 (NBT) [18]. When an erbium ion is present in the A-site,
Na0.5[Bi1-xErx]0.5TiO3 improves the optical and ferroelectric properties [19]. T.Wei et al, introduced Sm3+
doped NBT (x = 0.0–0.16); it may act as a potentially multifunctional optical-electro-material [20]. S. Lenka
et al, have examined the effect of the Sm3+
ion at the Bi-site of NBT, which is suitable for high-temperature
applications [21]. Based on the previous literature for lead-free piezoelectric systems other than doped BT
[22, 23], there is still a lack of knowledge of defect chemistry and the studies were limited to structural, optical,
dielectric, and piezoelectric properties with low concentration rare earth doping at Bi-site of NBT. The novelty
of this work is to study a cumulative effect of high-concentration rare earth doping at the Bi-site of NBT to
unravel the structural, optical, magnetic and mechanical properties and hence to examine their viability as
optoelectronic devices, magnetic memory materials and wear-resistant tribo-materials. The multifunctional
attributes of Sm-modified NBT materials are relevant for electronic, automotive, aerospace, and medical
industries owing to the stability, reliability, and flexibility in meeting specific performance criteria by fine-tuning
the concentration of Sm dopant to derive high performance.
ion doping on the
doped
2. Experimental procedure
2.1. Synthesis
Polycrystalline ceramic samples of Na0.5Bi0.5TiO3 (NBT) and Sm-modified Na0.5(Bi1-xSmx)0.5TiO3 with x = 0.0,
0.1, 0.3, and 0.5 (abbreviated as NBT, NBS1T, NBS3T, and NBS5T) ceramic samples from solid-state reaction
method. Stoichiometric amounts of powders of oxides Bi2O3 (99.0%), TiO2 (99.0%), and Sm2O3 (99.9%) and
carbonates Na2CO3 (99.0%), manufactured by high-media were utilized to prepare. The powders were
triturated for 8 h in an agate mortar using methanol as a mixing medium. The resulting powders were double
calcined for 3 h at 850 °C to increase their homogeneity. The pellets with a 10 mm diameter and 1 mm thickness
were prepared by using hydraulically pressing polyvinyl alcohol (PVA) mixed calcined powders. The pellets are
then subjected to sintering for 3 h at 1150 °C in the the air with a heating and cooling rates of 5° per minute.
2.2. Characterization
The translucent design of the samples were analyzed utilizing an XRD machine RigakuMiniflex 300/600 with
CuKα radiation (λ = 1.541 Å) with a step size of 2°/min, considering 2θ in the range of 0°−90°. Rietveld
refinement of XRD data has been conducted using FullProf software [24]. The three-dimensional crystal
structures were set up using VESTA programming. Scanning electron microscopy (SEM) (vega3tescan) and
Energy dispersive spectroscopy (EDAX) are used to confirm the phase purity and stoichiometry of the prepared
compassions.YLS-QC-WQP-004 was used for the FTIR spectroscopic analysis of the powders in KBr medium,
−1. The absorption spectrum was acquired through diffuse reflectance
covering a spectral range of 4000–400 cm
measurements on the prepared ceramic materials using a UV–vis spectrometer (Analytik Jena, SPECORD 210
PLUS). Horiba JobinYvon Fluorolog-3–21 was employed to capture photoluminescence spectra at room
temperature. Ferromagnetism at room temperature (RTFM) was evaluated using a MicroSense-20130523-01
vibrating sample magnetometer (VSM). Mechanical characteristics, including Vicker’s hardness (HV), wear
coefficient (K), coefficient of friction (μ), and specific wear Rate and Specific wear energy, were assessed with the
Tribometer-201.
2
Phys. Scr. 98 (2023) 125956
J Neeli et al
Figure 1. (a) XRD patterns of NBT, NBS1T, NBS3T, NBS5T,and (b) Enlarged XRD patterns in 2θ range from 32° to 34° for NBT,
NBS1T, NBS3T, NBS5T ceramic samples.
Table 1. The crystallite size, and Lattice strain, Tolerance factor values for
NBT, NBS1T, NBS3T, and NBS5T ceramics.
S.No
Sample
1
2
3
4
NBT
NBS1T
NBS3T
NBS5T
Crystallite
size (nm)
30.97
35.16
23.83
17.15
Lattice
strain
0.0034
0.0031
0.0038
0.0053
Tolerance
factor
0.9716
0.9695
0.9655
0.9616
3. Results and discussions
3.1. Structural analysis
3.1.1. X-ray diffraction analysis (XRD)
XRD patterns of sodium bismuth titanate (NBT) and Sm-modified NBT systems are shown in figure 1.
Employed Rietveld refinement method, examined all the prepared ceramic samples and verified the presence of
rhombohedral structure with R 3c space group, confirming the successful diffusion of samarium into NBT. In
samarium-modified NBT systems, an increase in the dopant concentration resulted in a noticeable shift in high-
intensity diffraction peaks, which can be attributed to the ionic radii of the Sm3+
ion. Considering the ionic radii
of the samarium (1.24 Å), bismuth (1.32 Å), and sodium (1.39 Å), it is evident that Sm3+
ions are readily able to
substitute for Bi3+
formula allowed us to establish the average crystal size, which clearly signifies the diminishing trend in crystallite
size. The crystallization percentage in 2θ range of 32 to 34° reiterates that there is a decrease with increasing in
the concentration of samarium doping [26]. The lattice strain in all the studied materials was computed and
observed to be increasing. The higher doping content has been linked to the decrease in crystallite size as
presented in table 1. The Goldschmidt tolerance factor (tg) used to examine the structural stability of the
compounds is expressed as [27]
ions within a pristine NBT system [25]. The application of the Debye–Scherrer
and Na1+
-
+
)
[(
g
t
x
1
=
Ra
1
(
r
2
B
Where x is the dopant concentration, Ra1 is basic elements(Na, Bi) in A-site average ionic radii, Ra2 is the dopant
element(Sm) in A-site ionic radii, rB is ionic radii of the B-site atoms, and ro is the ionic radius of oxygen.
Goldschmidt tolerance factor (tg) values are listed in table 1. Incorporating Sm3+
place of larger ionic radii of Bi3+
provides evidence of reduced lattice parameters and a diminished unit cell volume in the examined samples. The
ions caused the unit cells of Sm-doped NBT systems to contract [28]. Table 2
ions with smaller ionic radii in
Ra
2
)
r
o
x
+
r
o
]
+
( )
1
3
Phys. Scr. 98 (2023) 125956
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Table 2. Details of lattice parameters, cell volume, atomic position, occupancy, and goodness
parameter values for NBT and samarium modified NBT ceramic samples.
Compound
NBT
NBS1T
NBS3T
NBS5T
Lattice Parameter
a (Å)
c (Å)
Cell Volume(Å)
Atomic Positions
Na
X
Y
Z
Occupancy
Bi
X
Y
Z
Occupancy
Sm
X
Y
Z
Occupancy
Ti
X
Y
Z
Occupancy
O
X
Y
Z
Occupancy
χ2
5.49287;
13.42146
350.695
5.48570 ± 0.00103
13.4180 ± 0.00480
349.587 ± 0.156
5.462 ± 0.00061
13.4545 ± 0.00192
347.680 ± 0.074
5.44375 ± 0.00068
13.4148 ± 0.00226
344.280 ± 0.00226
0.00000
0.00000
0.26311
0.143
0.00000
0.00000
0.23311
0.499
—
—
—
—
0.00000
0.00000
0.01403
0.985
0.10863
0.33800
0.09333
1.510
0.926
0.00000
0.00000
0.26069
0.099
0.00000
0.00000
0.26069
0.449
0.00000
0.00000
0.26069
0.050
0.00000
0.00000
0.01164
0.975
0.0803
0.33741
0.06656
1.569
0.728
0.00000
0.00000
0.26338
0.165
0.00000
0.00000
0.26338
0.350
0.00000
0.00000
0.26338
0.149
0.00000
0.00000
0.01188
0.979
0.10899
0.33763
0.09459
1.216
0.970
0.00000
0.00000
0.26473
0.215
0.00000
0.00000
0.26473
0.250
0.00000
0.00000
0.26473
0.249
0.00000
0.00000
0.00978
0.974
0.10867
0.33810
0.07089
1.279
0.829
Full-Prof method was used for conducting the Rietveld refinement to analyze the crystal structure of each
sample. The samples’ Rietveld refinement patterns are shown in figure 2. A nominal difference was noticed
between the observed and calculated data and Bragg’s reflections of all the prepared ceramic samples were the
same. The goodness parameter was observed to be less than 1, indicating a good fit of the observed and calculated
values. Table 2 displays the refined lattice parameters, atomic positions, and goodness of fit χ2, while table 3
presents the instrumental parameters, residual factor Rp, and weighted residual factor Rw.
VESTA software was used for the visualization of the crystal structure of pure NBT, Sm3+
ion-modified
composition. Figure 3 represents the three-dimensional crystal structures of the NBT, NBS1T, NBS3T, and
NBS5T. The Ti occupancy was nearly the same in all compositions. Average bond lengths were observed for all
compositions, and the average bond length of A-site and B-site atoms to oxygen was observed to decrease with
dopant concentration. Bond angles (O-Ti-O) variation was observed for all compositions.The Ti4+
occupy an octahedral position; Ti-O distances exhibit short and long lengths that result in deformed octahedra;
the average value of Ti4+
-O is around 1.96 Å. These octahedra are stretched in three dimensions and alternately
joined. The analysis of various inter-atomic distances in table 4 reveals that Na/Bi/Sm atoms form
(Na/Bi/Sm)O12 polyhedra, and the calculated average length of the Na/Bi/Sm–O bond is
approximately 2.65 Å.
cations
3.1.2. Density and microstructural studies
The density of the prepared ceramic samples was determined by using the Archimedes water displacement
equipment (model: TTB15) [29] and identified to possess high density (95%) with induced porosity, shown in
table 5. In order to gain insight into the materials’s mechanical properties performed shrinkage measurements
[30] on the pellets after sintering and noticed that the percentage density was to the tune of induced porosity. The
studied samples’ SEM micrographs and corresponding histogram distribution are shown in figure 4. The
average grain size of each sample has been calculated using ImageJ software. The determined average grain size
of the NBT, NBS1T, NBS3T, and NBS5T compositions was 2.65 μm, 4.86 μm, 5.27 μm, and 4.13μm,
4
Phys. Scr. 98 (2023) 125956
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Figure 2. Rietveld refinement XRD patterns of NBT and samarium-modified NBT ceramic samples.
Table 3. Details of Rietveld refinement parameters NBT, NBS1T, NBS3T, and NBS5T ceramic compositions.
Compound
Wavelength (Å)
Step scan increment
2θ range (°)
Program
Caglioti parameters
Pseudo-Voigt function PV = ɳ L + (1 − ɳ) G
Space group
RF
RB
Rp
Rw
Rexp
NBT
NBS1T
NBS3T
NBS5T
1.541862
0.02
20–80
FULLPROF
U = 0.091985
V = −0.000528
W = 0.008432
ɳ = 0.63315
R −3 c
14.1
13.6
12.0
16.6
17.26
1.541862
0.02
20–80
FULLPROF
U = 0.013862
V = −0.009936
W = 0.006103
ɳ = 1.83336
R −3 c
12.5
11.5
11.4
15.1
1.68
1.541862
0.02
20–80
FULLPROF
U = 0.016799
V = −0.009915
W = 0.005638
ɳ = 3.40818
R −3 c
13.5
12.1
13
16.4
16.66
1.541862
0.02
20–80
FULLPROF
U = 0.004133
V = −0.007618
W = 0.006255
ɳ = 0.0001
R −3 c
12.6
12.7
11.9
15.1
16.61
respectively. The increase in grain size can be attributed to the sintering mechanism, in which the surface free
energy of particles decreases due to the solid–vapour interface energy and solid-state interface energy
contributions along with the diffusion of rare earth ions in the NBT host matrix and the dopant’s ionic radii and
atomic mass [31, 32]. Among various rare earth elements, samarium is considered as one of the excellent
dopants due to its optical capacity [33]. In general, there is a strong correlation between changes in the structure
and morphology of the material and its optical properties [34]. This prompted the use of Sm3+
luminophore in the NBT matrix. A Photoluminescence on an Sm3+
ion-modified NBT system was deciphered
by the intensity correlation between the studied optical properties and structural parameters (Rietveld analysis).
Energy Dispersive X-Ray Spectroscopy (EDAX): figure 5(a)–(d) depicts the Energy Dispersive x-ray spectra
ions as a
(EDAX) and atomic, weight percentages of each constituent atom for all compositions, confirming the purity
and stoichiometry. The XRD results confirmed the presence of only the rhombohedral perovskite phase, and
this corroborates the fact that sufficient dissolution of samarium into the host matrix has occurred.
5
Phys. Scr. 98 (2023) 125956
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Table 4. Selected inter-atomic distances (Å) and O-Ti-O angles for NBT, NBS1T, NBS3T and
NBS5T.
Bond length
Na/Bi-O
Na/Bi-O
Na/Bi-O
Na/Bi-O
Na/Bi-O
Na/Bi-O
<Na/Bi-O>
Na/Bi/Sm -O
Na/Bi/Sm -O
Na/Bi/Sm -O
Na/Bi/Sm -O
Na/Bi/Sm -O
Na/Bi/Sm -O
2.53134
2.71532
2.41529
2.43476
2.80849
3.00696
2.662466
2.665
2.8442
2.3566
2.3839
2.6902
3.0824
<Na/Bi/Sm –O>
2.6373
Na/Bi/Sm -O
Na/Bi/Sm -O
Na/Bi/Sm -O
Na/Bi/Sm -O
Na/Bi/Sm -O
Na/Bi/Sm -O
2.4048
2.4273
2.7260
2.5119
3.0257
2.7956
<Na/Bi/Sm –O>
2.64855
Na/Bi/Sm -O
Na/Bi/Sm -O
Na/Bi/Sm -O
Na/Bi/Sm -O
Na/Bi/Sm -O
Na/Bi/Sm -O
2.45
2.74
3.07
2.77
2.3935
2.421
NBT
Ti-O
Ti-O
Ti-O
Ti-O
<Ti-O>
NBS1T
Ti-O
Ti-O
Ti-O
Ti-O
<Ti-O>
NBS3T
Ti-O
Ti-O
Ti-O
Ti-O
<Ti-O>
NBS5T
Ti-O
Ti-O
Ti-O
Ti-O
1.98225
2.818436
1.78548
1.95351
1.97715
1.8062
2.0013
1.9545
2.2009
1.94275
2.17027
1.95084
1.97392
1.78487
1.97166
1.96
2.12
1.823
1.96
<Na/Bi/Sm –O>
2.6405
<Ti-O>
1.96575
Bond angles
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
O-Ti-O
176.6785
93.2166
89.2448
87.3889
88.8680
88.430
104.505
78.709
93.895
88.579
86.950
86.575
88.960
89.242
88.154
87.813
89.584
89.833
81.169
101.019
91.332
88.9
101.3
80.5
86.45
89.21
88.3
87.9
89.59
−1, ∼1460 cm
3.1.3. Fourier infrared spectroscopy (FTIR)
The FT-IR spectra of Na0.5(Bi1-xSmx)0.5TiO3 at room temperature with x values of 0.0, 0.1, 0.3, and 0.5 are
−1. The vibrational bands are observed at wave
depicted in figure 6 with spectral range from 400 to 4000 cm
−1 and ∼3477 cm
−1, ∼2923 cm
−1, ∼1649 cm
−1, ∼834 cm
numbers ∼636 cm
The metal-oxide band observed close to 636 cm
−1. The stretching vibration
vibrations of TiO6 octahedra may be responsible for the absorption band at 834 cm
of BO6 octahedra in the perovskite structure for B–O bonds along the c-axis is represented by a weak absorption
band at 1460 cm
extending vibrational methods of the caught water molecule. The shift and broadening of vibrational bands with
dopant concentration correspond to the change in lattice parameters attributed to crystal growth [36, 37].
−1 is typical for perovskite materials [35]. The Ti–O–Ti
−1 [35]. The band at 2923 cm
−1 are aligned with the O-H
−1 and around 3477 cm
−1 for NBT sample.
−1, 1649 cm
3.2. Optical studies
3.2.1. Ultraviolet-visible (UV–vis) reflectance spectroscopy(DRS)
The ultraviolet–visible absorption spectra of all the prepared samples within the 200–800 nm wavelength range
as shown in figure 7 illustrate the interband photon energy absorption leads to the optical conduction of
electrons. As the dopant concentration increase, it was observed that the wavelength at which maximum
absorption occurred consistently shifted towards a longer wavelengths. Using the Tauc equation, the optical
band gaps (Eg) of Sm3+
ion-doped NBT materials have been determined [38].
6
Phys. Scr. 98 (2023) 125956
J Neeli et al
Figure 3. VESTA software developed NBT and Sm-modified NBT structures from Rietveld refinement.
Figure 4. SEM micrographs and corresponding histograms for NBT, NBS1T, NBS3T, and NBS5T.
a n = n E
(
h
h
–
n
)
g
( )
2
Where the absorption coefficient(α), Planck’s constant(h), incident photon frequency(ν), and a material-
dependent constant (A) are present, the nature of the electronic transitions is revealed by the power index (n)
value. Direct and indirect interband transitions are expressed by the numbers n = 1/2 and 2, respectively. In the
case of NBT perovskite materials, there is a direct charge shift from the valence band’s higher edge to the
conduction band’s lower edge. In addition, the theoretical research by Zeng et al on basic NBT perovskite
material indicated that the O-2p state is at the top of the valence band while the Ti-3d and Bi-6s states are at the
bottom of the conduction band for direct interband transitions [39]. Figure 8 exhibits linear fits for direct band
gap (n = ½) for all the ceramic samples produced elucidating the correlation between (αhv)2 versus hv plots. The
direct band gap values of the NBT and samarium-modified ceramics were determined to fall within the
descending range of 3.01 to 3.12 eV from that of NBT suggesting that the samples exhibit semiconducting
properties, shown in table 6. A similar trend was observed by the earlier researchers [14, 40, 41]. This decrease in
7
Phys. Scr. 98 (2023) 125956
J Neeli et al
Figure 5. EDAX spectra and corresponding atomic and weight percentages for NBT and Samarium modified NBT ceramics.
Figure 6. FTIR spectra of all the prepared samples.
8
Table 5. Grain size, Relative density, and porosity values for NBT and Sm-modified NBT ceramic samples.
9
S. No
Composition
Experimental Density (g/cm3)
Theoretical Density (g/cm3)
Percentage of Shrinkage diameter (%)
Grain size (μm)
Relative Density (%)
Porosity (%)
1
2
3
4
NBT
NBS1T
NBS3T
NBS5T
6.158
5.217
5.529
5.273
6.580
5.497
5.826
5.572
14.1
15.8
14.4
15.3
2.65
4.86
5.27
4.13
95
95
95
95
0.049
0.051
0.051
0.054
P
h
y
s
.
S
c
r
.
9
8
(
2
0
2
3
)
1
2
5
9
5
6
J
N
e
e
l
i
e
t
a
l
Phys. Scr. 98 (2023) 125956
J Neeli et al
Figure 7. Diffuse reflectance spectra (DRS) for NBSmxT with x = 0.0, 0.1, 0.3, and 0.5.
Figure 8. Linear fitting for the direct band gap values of NBSmxT with x = 0.0, 0.1, 0.3, and 0.5.
band gap value may have been caused by the formation of new subbands within the band gap of NBT material.
Additionally, it may be linked to the microstructural changes brought on by variations in dopant concentration.
Among the studied ceramic compositions, the NBS3T had the lowest optical bang gap (Eg = 3.01 eV), and it
might be a promising perovskite photoactive material [42].
3.2.2. Photoluminescence study
In order to investigate the photoluminescence (PL) characteristics of Na0.5Bi0.5TiO3 and Na0.5(Bi1-xSmx)0.5TiO3
(where x = 0.0, 0.1, 0.3, and 0.5), the samples were subjected to excitation at a wavelength of 407 nm. The
resulting photo emissions were then examined within the range of 550 nm to 675 nm, as depicted in figure 9(a).
The results showed that the photoluminescence intensity was proportional to Sm concentration initially and
then reached the highest value at x = 0.3 (critical limit). Once the critical concentration of Sm is surpassed the
10
Phys. Scr. 98 (2023) 125956
J Neeli et al
Figure 9. (a) Photoluminescence emission spectra for Na0.5(Bi1-xSmx)0.5TiO3 at x = 0.0, 0.1, 0.3, 0.5 (b) CIE chromaticity diagram.
Table 6. Direct energy band gap values for NBT and
Sm-modified NBT ceramics.
S. No
Composition
Direct band gap Eg (eV)
1
2
3
4
NBT
NBS1T
NBS3T
NBS5T
3.12
3.09
3.01
3.07
ions reduces, leading to mutual ion interactions that induce non-radiative transitions.
distance between Sm3+
This phenomenon subsequently diminished the fluorescence intensity. The decrease in photoluminescence
intensity after the addition of excessive amounts of Sm can be attributed to the concentration quenching effect
[43, 44]. The Blasse equation (3) can be used to determine the critical separation between two Sm3+
ions and is
written as [45]
=R
3
V
p
X N
4
C
⎡
⎣⎢
1
3
( )
⎤
⎦⎥
( )
3
Here, N is the number of dopant-ready sites in the unit cell, and V is the unit cell volume at the critical doping
concentration (Xc). The computed critical distance values for NBS1T, NBS3T, and NBS5T are 4.53 Å, 3.13 Å,
and 2.63 Å, respectively.
3.2.3. CIE diagram
Chromatic diagram based on Commission Internationale de l’Eclairage (CIE) (1931) [46], along with correlated
colour temperature (CCT) values, for Na0.5(Bi1-xSmx)0.5TiO3 with x= 0.1, 0.3 and 0.5 are presented in
figure 9(b). This diagram depicts the colour purity of the luminophores when excited at 407 nm. These are
significant from the perspective of the material performance on colour luminescent emission in applications like
LEDs that take place in the real world. The McCamy empirical relation (4) is used to calculate the CCT values,
from the perspective of material performance on colour luminescent emission in practical applications like
LEDs [47] these are significant.
(
CCT x, y
)
= -
449n3
+
3525n2
-
6823.3n
+
5520.33
( )
4
,
x
e
y
e
Where = -
x
n is the tangent of the angle between the y-axis, and this line is the reciprocal of the slope. (xe,
n
-
y
ye) = (0.3320, 0.1858) are the epicenter of the convergence at the point on the chromaticity diagram, and (x, y) is
the colour coordinates of the sample. The colour purity of the dopant systems’ emitted colour is determined by
using equation (5) [48]
11
Phys. Scr. 98 (2023) 125956
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Figure 10. M-H loops for NBT and Sm-modified NBT ceramics at room temperature.
Table 7. Magnetization values for NBT and Samarium-modified NBT ceramic compositions at Room Temperature.
S.No
Composition
Ms
(memu /g)
Mr
(memu /g)
1
2
3
4
NBT
NBS1T
NBS3T
NBS5T
0.0140
9.596
34.18
6.413
0.00036
0.703
1.49
0.337
S
Hc(Oe)
0.07
0.49
0.43
0.42
0.00
0.50
96.31
116.23
Magnetic moment
(μb)
Anisotropy constant A(erg/cm3)
0.0005
0.0004
0.0012
0.0002
2
0.000
0.004
3.429
0.776
Color purity
=
(
x
-
2
)
+
((
y
-
x
i
x
2
)
y
i
y
i
2
´
100%
-
d
Where (xi, yi) is the illuminant point and (xd, yd) is the colour coordinates of a dominant wavelength.
y
d
-
+
x
)
(
)
(
i
From figure 9(b), the Commission Internationale de l’Eclairage (CIE) colour coordinates for the NBSmxT
systems (x = 0.1, 0.3, and 0.5) are (0.324, 0.329), (0.383. 0.326), (0.333. 0.301) respectively. The CCT values of
Sm-modified NBT systems (x = 0.1, 0.3, and 0.5) are reported as 5912.12 K, 3483.53 K, and 5458.43 K,
respectively. These systems are well within the reddish-orange region. Photometric parameters like CIE colour
coordinates, CCT, and colour purity were different in all the studied compositions. The phosphors exhibit
strong reddish-orange emission with acceptable CCT, colour purity, and reddish-orange chromaticity. Ceramic
composition at x = 0.3 concentration displayed high-intensity reddish-orange emission based on the colour
coordinates, CCT, and colour purity values.
( )
5
3.3. Magnetic study
The magnetic measurements of the prepared [Na0.5(Bi1-xSmx)0.5TiO3] ceramic samples with compositions
x=0.0, 0.1, 0.3, and 0.5 were recorded at room temperature under the magnetic field of −20 kOe H 20 kOe
and are presented in figure10 along with NBT, which is with a diamagnetic attribute, the prepared compositions
exhibited typical ferromagnetic (RTFM) behavior [49]. The equation (6), relates the magnetic moment (μb) with
Bohr magneton [50].
m
b
=
´M M
5585
S
⎤
⎦
⎡
⎣
12
( )
6
Phys. Scr. 98 (2023) 125956
J Neeli et al
Figure 11. (a) Vickers hardness as a function of concentration (b) Wear coefficient, coefficient of friction, and Specific wear energy as a
function of concentration.
Table 8. Vickers Hardness, Coefficient of Wear, Coefficient of Friction values for NBSmxT (x = 0.0, 0.1, 0.3 & 0.5) ceramics.
S. No
Composition
1
2
3
4
NBT
NBS1T
NBS3T
NBS5T
Vickers Hardness
(HV) (GPa)
Coefficient of Wear (K)
(mm3/ N.m)
Coefficient of
friction (μ)
SWE (*
104 J g
−1)
5.59
6.78
8.20
5.86
–6
–6
0.68 × 10
0.78 × 10
–6
1.21×10
0.53 × 10
–6
0.582
0. 558
0. 641
0.545
14
76
93
58
Here, M is the molecular weight of the sample, Ms is saturation magnetization, and 5585 is the magnetic factor.
The equation (7) was used to calculate the anisotropy constant [51]
Anisotropy constant A
=
H
C
´M
S
0.96
( )
7
Where Ms is the saturation magnetization, Hc is the coercivity, and 0.96 is a constant. Table 7 presents the values
of the reduced magnetization (S=Mr/Ms), magnetic moment (μb), and the anisotropy constant (A), as well as
the saturation magnetization (Ms), remnant magnetization (Mr), and coercivity (Hc). The lattice distortion,
indirect spin exchange interactions, the bond angle and length alteration impact ferromagnetic properties [52].
The reduced magnetization which is also known as the squareness factor, with values in between 0 and 1 is used
in memory devices. All the prepared ceramic samples were identified to exhibit a soft magnetic nature with a
multi-domain structure as the squareness factor values are less than 0.5 [53].
3.4. Mechanical studies
3.4.1. Vickers microhardness
Vickers hardness test was developed in 1924 by Smith and Sandland. Hardness is one of the most important
properties of a ceramic. Vickers hardness values were calculated using equation (8) for NBT and Sm-modified
NBT ceramic samples, the obtained results are noted in table 8. The input parameters applied are load 10 N and
time 10 s. Vickers hardness as a function of concentration was shown in figure11(a)
H
=
F
0.189
d
´
2
Gpa
( )
8
Where H is the hardness, F is the load in the indentation, and d is the average length of the diagonal line in the
indentation. The NBS3T ceramic (8.20 GPa) has a hardness much higher than NBT (5.59 GPa) ceramics, and
this may be due to submicron grains, which provide additional barriers to the movement of lattice dislocations
in adjacent grains and, hence the increased number of grain boundaries [54–57].
13
Phys. Scr. 98 (2023) 125956
J Neeli et al
3.4.2. Specific Wear Rate (SWR)
The pins and ball-on-circle machines have been used to concentrate on the wear component in research, going
from full-scale lab tests and downscale testing. Of the above techniques, the trunnion-on-circle machine is the
easiest, most economical, and most efficient research centre test for concentrating on wear components [58].
Specific wear rate (SWR) has been described as the loss of material volume per unit of load and sliding distance
during the wear of two bodies by G. Suresh et al [59]. Pin-on-disc equipment was used to measure the Coefficient
−1 and applied load 10 N of
of Wear (K) and Coefficient of friction (μ) with input values sliding velocity 1.224 m s
the prepared ceramic samples. It is calculated by using equation (9).
SWR
=
∆
W
´ ´
L
(
r
Sd
)
( )
9
Where
ΔW = Sample weight before wear test - Sample weight after wear test, ρ = density of the sample, L= Applied
Load, Sd= Sliding distance
–6
All prepared ceramic samples with mild wear were found to have a specific wear rate range of less than 10
mm3/(N m), and this demonstrates that the present materials are favourable to be utilized as wear-safe tribo-
materials when contrasted with Polytetrafluoroethylene (PTFE) [60, 61].
3.4.3. Specific wear energy (SWE)
It is the ratio between the frictional energy consumed at the interface and the mass lost due to wear. The Specific
Wear Energy (SWE) is derived from the coefficient of friction and wear rate to determine the tribological
characteristics of a material. It is said that composites with a high specific wear energy have a high specific wear
rate [59]. SWE can be calculated using the following equation (10)
)
Specific wear energy SWE
(
=
v
m
´ ´ ´
w
D
m
t
(
)
10
Where ‘v’ is the velocity in m/s, ‘w’ is the applied load in N, ‘μ’ is the coefficient of friction, ‘t’ is time in seconds,
and ‘Δm’ is the weight loss in grams.
The greater SWE value may be ascribed to the high specific wear rate and coefficient of friction listed in
table 8. Specific wear energy values rise with the increase in Sm dopant concentration up to x = 0.3 after which
they start to decrease. The decrease can be attributed to a reduction in the coefficient of friction. The variation of
SWR, SWE, and Coefficient of friction with dopant concentration in NBT are shown in figure 11(b).
3.4.4. Coefficient of friction (μ)
Discovering a low friction coefficient for specific conditions, such as temperature, time, applied load, sliding
cycles on the sample, etc, is critical. This would prevent wear, save money on maintenance, and use less energy,
all of which would significantly extend the life of the product. The pin-on-disk tests were performed with a 50
mm-diameter track and a normal load of 10 N at a sliding speed of 1.224 m/s for 300 s. At room temperature,
the concentrated creative materials’ friction coefficients have produced results in the range of 0.5–0.6; these
outcomes are coordinated with past researchers [59, 62]. The investigated ceramic materials might be a better
choice for properties like self-lubrication.
4. Conclusions
Sodium bismuth titanate [Na0.5(Bi1-xSmx)0.5TiO3] ceramic samples of varying concentrations with x = 0.0, 0.1,
0.3, & 0.5 were prepared from the solid-state reaction method. The rhombohedral phase with space group R3c
was confirmed in all prepared ceramic samples using x-ray diffraction patterns and obtained lattice parameters
utilizing Rietveld analysis.
As the dopant concentration increased, the particle size of the samples decreased, and the lattice strain
ion doping increased the granularity value, indicating that the Ostwald ripening
concurrently increased. Sm3+
mechanism causes the particles to become coarse during sintering, as received from SEM micrographs. The
EDAX spectra for various compositions are in line with stoichiometry, afforming the presence of all the
constituent elements. The vibration bands shift and expand with an increase in dopant concentration, indicating
lattice deformation. Based on the findings from UV–vis spectroscopy it is evident that as the doping
concentration increased the band gap values decreased, thereby highlighting the potential utility of NBT-based
perovskites as photoactive materials. At a concentration of x = 0.3, the luminophore demonstrates a
pronounced reddish-orange emission characterized by excellent reddish-orange chromaticity, CCT, and colour
purity. The squareness factors of the produced compositions vary from 0.07 to 0.49, rendering them compelling
14
Phys. Scr. 98 (2023) 125956
J Neeli et al
materials for applications in memory device. The ceramic material at x=0.3 concentration, the Vickers hardness
was very high (8.20 GPa) and exhibited mild wear with relatively low frictional coefficient values.
Acknowledgments
The authors would like to thank Vignan’s Foundation for Science Technology and Research (VFSTR) deemed to
be University, for extending the CoExAMMPC facility for basic characterization of our research samples.
Data availability statement
The data cannot be made publicly available upon publication because they are owned by a third party and the
terms of use prevent public distribution. The data that support the findings of this study are available upon
reasonable request from the authors.
ORCID iDs
Nitchal Kiran Jaladi
https://orcid.org/0000-0002-6585-6067
References
[1] Haertling G H 1999 J. Am. Ceram. Soc. 82 797–818
[2] Tressler J F, Alkoy S and Newnham R E 1998 J. Electroceram. 2 257–72
[3] Saito Y, Takao H, Tani T, Nonoyama T, Takatori K, Homma T and Nakamura M 2004 Nature 432 84–7
[4] Smolenskii G A 1961 Soviet Physics-Solid State 2 2651–4
[5] Lu Y, López C A, Wang J, Alonso J A and Sun C 2018 J. Alloys Compd. 752 213–9
[6] Bradha M, Hussain S, Chakravarty S, Amarendra G and Ashok A 2015 J. Alloys Compd. 626 245–51
[7] Reichmann K, Feteira A and Li M 2015 Materials 8 8467–95
[8] Jones G O and Thomas P A 2002 Acta Crystallogr., Sect. B: Struct. Sci 58 168–78
[9] Damjanovic D, Klein N, Li J and Porokhonskyy V 2010 Functional Materials Letters 3 5–13
[10] He X and Mo Y 2015 Phys. Chem. Chem. Phys. 17 18035–44
[11] Bai Y, Zheng G P and Shi S Q 2011 Mater. Res. Bull. 46 1866–9
[12] Gou Q, Wu J, Li A, Wu B, Xiao D and Zhu J 2012 J. Alloys Compd. 521 4–7
[13] Benyoussef M, Zaari H, Belhadi J, El Amraoui Y, Ez-Zahraouy H, Lahmar A and El Marssi M 2022 J. Rare Earths 40 473–81
[14] Franco Jr A, Banerjee P and Romanholo P L 2018 J. Alloys Compd. 764 122–7
[15] França E L T, Romanholo P V V, Simões S S, Falcão E H L, Franco Jr A and Machado F L A 2021 J. Alloys Compd. 873 159845
[16] Behara S, Krishna R H, Muralidhar M, Murakami M, Irfan M, Najma S and Thomas T 2019 Materialia 7 100426
[17] Behara S, Ikeda K and Thomas T 2021 Ceram. Int. 47 12870–8
[18] Kandula K R, Asthana S and Raavi S S K 2018 RSC Adv. 8 15282–9
[19] Zannen M, Dietze M, Khemakhem H, Kabadou A and Es-Souni M 2014 Ceram. Int. 40 13461–9
[20] Wei T, Sun F C, Zhao C Z, Li C P, Yang M and Wang Y Q 2013 Ceram. Int. 39 9823–8
[21] Lenka S, Badapanda T, Nayak P, Sarangi S and Anwar S 2021 Ceram. Int. 47 5477–86
[22] Blömker M, Erdem E, Li S, Weber S, Klein A, Rödel J and Frömling T 2016 J. Am. Ceram. Soc. 99 543–50
[23] Smyth D M, Harmer M P and Peng P 1989 J. Am. Ceram. Soc. 72 2276–8
[24] Rodriguez-Carvajal J 1990 Toulouse, France 127
[25] Dinh T H, Lee H Y, Yoon C H, Malik R A, Kong Y M, Lee J S and Tran V D N 2013 J. Korean Phys. Soc. 62 1004–8
[26] Ganbavle V V, Kim J H and Rajpure K Y 2015 J. Electron. Mater. 44 874–85
[27] Rajesh R, John Ethilton S, Ramachandran K, Giridharan N V, Ramesh Kumar K and Vadla S S 2018 Int. J. Mod. Phys. B 32 1850277
[28] Lei N, Zhu M, Yang P, Wang L, Wang L, Hou Y and Yan H 2011 J. Appl. Phys. 109 054102
[29] Shelby J E 2015 (Royal society of chemistry)
[30] Sangula N, Jaladi N K, Bhimavarapu S B R, Bhuvanagiri N R, Jaladi A K and Konapala S R 2021 ECS J. Solid State Sci. Technol. 10 041002
[31] Kumar A, Kumar P and Dhaliwal A S 2021 Advances in Applied Ceramics 120 307–18
[32] Roy R and Dutta A 2023 J. Rare Earths
[33] Lenka S, Badapanda T, Ghosh S P, Richhariya T, Sarangi S and Tripathy S N 2023 Materials Today Communications 36 106738
[34] Prusty R K, Kuruva P, Ramamurty U and Thomas T 2013 Solid State Commun. 173 38–41
[35] Devi C S, Kumar G S and Prasad G 2013 Materials Science and Engineering: B 178 283–92
[36] Roy R and Dutta A 2020 Solid State Sci. 102 106174
[37] Darwish A G A, Badr Y, El Shaarawy M, Shash N M H and Battisha I K 2010 J. Alloys Compd. 489 451–5
[38] Tauc J 1968 Mater. Res. Bull. 3 37–46
[39] Zeng M, Or S W and Chan H L W 2010 J. Appl. Phys. 107 043513
[40] Jeshurun A, Mohammad I, Behara S and Bogala M R 2021 Materials Today Chemistry 20 100476
[41] Pradhan S K and De S K 2018 Ceram. Int. 44 15181–91
[42] Swain S, Ojha B and Mohanty S 2016 J. Mater. Sci., Mater. Electron. 27 8693–700
[43] Kuo T W, Huang C H and Chen T M 2010 Opt. Express 18 A231–6
[44] Naik R C, Karanjikar N P and Razvi M A N 1992 J. Lumin. 54 139–44
[45] Blasse G 1969 Philips Res. Rep. 24 131
[46] Smith T and Guild J 1931 Trans. Opt. Soc. 33 73
[47] McCamy C S 1992 Color Res. Appl. 17 142–4
15
Phys. Scr. 98 (2023) 125956
J Neeli et al
[48] Singh D K, Mondal K and Manam J 2017 Ceram. Int. 43 13602–11
[49] Rawat M and Yadav K L 2015 Smart Mater. Struct. 24 045041
[50] Tahir M, Imran Ahmad S, Javid Ali M and Shahid K 2018 J. Mater. Sci., Mater. Electron. 29 5110–5
[51] Hooda A, Sanghi S, Agarwal A and Dahiya R 2015 J. Magn. Magn. Mater. 387 46–52
[52] Reetu R, Agarwal A, Sanghi S, Ashima A and Ahlawat N 2013 J. Appl. Phys. 113 023908
[53] Fonsecaa S G C and Neivab L S 2018 Mater. Res. 21 20170861
[54] Hoffmann M J, Hammer M, Endriss A and Lupascu D C 2001 Acta Mater. 49 1301–10
[55] Hall E O 1951 Proc. Phys. Soc. London, Sect. B 64 747
[56] Petch N J 1953 J. Iron Steel Inst. 174 25–8
[57] Yip S 1998 Nature 391 532–3
[58] Faccoli M, Petrogalli C and Ghidini A 2017 Tribol. Lett. 65 1–7
[59] Suresh G, Vasu V and Rao M V 2018 Silicon 10 2043–53
[60] Adachi K, Kato K and Chen N 1997 Wear 203–204291–303
[61] Şahin Y, Erdil E and Şahin H 2015 Cogent Eng 2 1000510
[62] Vijaya Kumar C and Sreenivasulu M 2021 J. Mater. Sci., Mater. Electron. 32 20499–509
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10.1016_j.isci.2020.100959.pdf
|
DATA AND CODE AVAILABILITY
RNA-seq data have been deposited in NCBI’s Gene Expression Omnibus (GEO). The accession number for
the RNA-seq data reported in this paper is GEO: GSE145495.
|
DATA AND CODE AVAILABILITY RNA-seq data have been deposited in NCBI's Gene Expression Omnibus (GEO). The accession number for the RNA-seq data reported in this paper is GEO: GSE145495.
|
Article
Loss of Asb2 Impairs Cardiomyocyte
Differentiation and Leads to Congenital Double
Outlet Right Ventricle
Substrate adapter
polyubiquitinated
Substrate
E3
Cullin5
Asb2
E2
X
Heart Failure
Embryonic Lethality
DORV
Flna
Smad2
E7.5
FHF
AHF
Cardiac Crescent
E9.0-9.5
OFT
LV
RV
Looped
Heart
Negative regulation
Positive regulation
Abir Yamak,
Dongjian Hu,
Nikhil Mittal, ...,
Christel Moog-
Lutz, Patrick T.
Ellinor, Ibrahim J.
Domian
fyamak@mgh.harvard.edu
(A.Y.)
idomian@mgh.harvard.edu
(I.J.D.)
HIGHLIGHTS
Flna removal partially
rescues embryonic
lethality of Asb2-heart-
specific knockout
AHF-Asb2 knockouts
harboring one Flna allele
have double outlet right
ventricle
Asb2-Flna regulate
TGFb-Smad2 signaling in
the heart
Conserved role of Asb2 in
heart morphogenesis
between mice and
humans
DATA AND CODE
AVAILABILITY
GSE145495
Yamak et al., iScience 23,
100959
March 27, 2020 ª 2020 The
Author(s).
https://doi.org/10.1016/
j.isci.2020.100959
Article
Loss of Asb2 Impairs Cardiomyocyte
Differentiation and Leads to Congenital
Double Outlet Right Ventricle
Abir Yamak,1,2,3,9,* Dongjian Hu,2,4 Nikhil Mittal,1,2 Jan W. Buikema,2,5 Sheraz Ditta,2,6 Pierre G. Lutz,7
Christel Moog-Lutz,7 Patrick T. Ellinor,1,2,3 and Ibrahim J. Domian1,2,8,*
SUMMARY
Defining the pathways that control cardiac development facilitates understanding the pathogenesis
of congenital heart disease. Herein, we identify enrichment of a Cullin5 Ub ligase key subunit,
Asb2, in myocardial progenitors and differentiated cardiomyocytes. Using two conditional murine
knockouts, Nkx+/Cre.Asb2fl/fl and AHF-Cre.Asb2fl/fl, and tissue clarifying technique, we reveal Asb2
requirement for embryonic survival and complete heart looping. Deletion of Asb2 results in upregu-
lation of its target Filamin A (Flna), and concurrent Flna deletion partially rescues embryonic lethality.
Conditional AHF-Cre.Asb2 knockouts harboring one Flna allele have double outlet right ventricle
(DORV), which is rescued by biallelic Flna excision. Transcriptomic and immunofluorescence analyses
identify Tgfb/Smad as downstream targets of Asb2/Flna. Finally, using CRISPR/Cas9 genome editing,
we demonstrate Asb2 requirement for human cardiomyocyte differentiation suggesting a conserved
mechanism between mice and humans. Collectively, our study provides deeper mechanistic under-
standing of the role of the ubiquitin proteasome system in cardiac development and suggests a pre-
viously unidentified murine model for DORV.
INTRODUCTION
Congenital heart diseases (CHDs) are prenatal defects that affect the heart’s structure and/or function and
are the leading cause of infant mortality under 1 year of age. Approximately 1%–2% of human babies are
born with cardiac malformations that pose as major risk factors for adult cardiovascular problems (Bruneau,
2008; Nemer, 2008). The heart, the first functional organ in the developing embryo, starts to form early on
during development, before the end of gastrulation. The first and second heart fields (FHF and SHF,
respectively) as well as the proepicardial organ and the cardiac neural crest are the major contributors
to the forming heart (Martinsen and Lohr, 2015). The FHF gives rise primarily to the left ventricle and
most of the atria; the SHF contributes to the right ventricle, outflow tract, and parts of the atria (Srivastava,
2006; Yamak and Nemer, 2015). Induction of the cardiac fate and the proper morphogenesis of the verte-
brate heart are controlled by a well-characterized and highly conserved combinatorial network of transcrip-
tion factors and signaling molecules that act together to orchestrate the embryonic development of the
four-chambered mammalian heart and the subsequent post-natal maturation. Of important note, the adult
heart has minimal intrinsic regenerative capacity (Mercola et al., 2011). As a result, significant stressors on
the heart can result in loss of viable or functional myocardial tissue and ultimately heart failure. This renders
cardiovascular disease a leading cause of death worldwide and highlights an unmet clinical need for novel
approaches for heart regeneration. One major approach is the use of stem cells that can be induced to give
rise to the different cell types that constitute the heart. Understanding the cellular processes and signaling
pathways that govern in vivo heart formation and maturation is necessary for the generation of functional
mature cardiac tissue for clinical and preclinical applications (Hu et al., 2018).
Targeted protein degradation by the ubiquitin proteasome system (UPS) is important for the regulation of
cellular physiology and is required for normal organ formation (Glickman and Ciechanover, 2002). The UPS
consists of three enzymes: Ubiquitin (Ub) activating enzyme, E1, which transfers activated Ub to the Ub
conjugating enzyme, E2. This then interacts with the E3 Ub ligase that covalently links the Ub or Ub chain
to a lysine residue in the substrate thus targeting it for degradation by the proteasome. The E3 Ub ligase is
responsible for substrate specificity (Jung et al., 2009). Recent evidence points to a role of the UPS in heart
disease, particularly in myocardial remodeling, familial cardiomyopathies, chronic heart failure, and
1Harvard Medical School,
Boston, MA 02115, USA
2Cardiovascular Research
Center, Massachusetts
General Hospital, 185
Cambridge Street,
CPZN3200, Boston, MA
02114, USA
3Cardiovascular Disease
Initiative, Broad Institute of
MIT and Harvard,
Cambridge, MA 02142, USA
4Department of Biomedical
Engineering, Boston
University, Boston, MA 02215,
USA
5University Medical Center
Utrecht, 3584 CX Utrecht,
Netherlands
6Department of
Pharmaceutical Sciences,
Utrecht University, 3512 JE
Utrecht, Netherlands
7Institut de Pharmacologie et
de Biologie Structurale, IPBS,
Universite´ de Toulouse,
CNRS, UPS, Toulouse, France
8Harvard Stem Cell Institute,
Cambridge, MA 02138, USA
9Lead Contact
*Correspondence:
fyamak@mgh.harvard.edu
(A.Y.),
idomian@mgh.harvard.edu
(I.J.D.)
https://doi.org/10.1016/j.isci.
2020.100959
iScience 23, 100959, March 27, 2020 ª 2020 The Author(s).
This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
1
B
D
A
C
E
Figure 1. Asb2 Is Expressed in the Developing and Adult Heart and Undergoes Isoform Switching during Differentiation
(A) qPCR analysis of embryonic cardiomyocytes reveals predominant Asb2a expression in the R-G+ and the R+G+ populations. R-G+: Mef2c-.Nkx2-5+;
R+G+: Mef2c+.Nkx2-5+; R+G-: Mef2c+.Nkx2-5-; NEG: Mef2c-.Nkx2-5-.
(B) qPCR analysis of Asb2a and Asb2b on RNA from murine hearts of different embryonic stages as well as neonates and postnatal day 8–9. Note that the a
isoform is equally expressed at all stages, whereas the b isoform expression increases with development.
(C) Western blot analysis on whole tissue extracts from embryonic and adult heart, spleen, and skeletal muscle using Asb2-specific antibody. Note that Asb2
corresponding band in the embryonic heart co-migrates with that in the spleen where only the a isoform is expressed, whereas that in the adult heart
co-migrates with that in the skeletal muscle that is known to express on the b isoform. These data are consistent with the qPCR data in (B).
2
iScience 23, 100959, March 27, 2020
Figure 1. Continued
(D) In situ hybridization on E9.5 mouse embryo showing robust Asb2 expression in the LV, RV, and OFT and to a lesser extent the IFT. LV, left ventricle; RV,
right ventricle; OFT, outflow tract; IFT, inflow tract.
(E) Immunohistochemistry on E10.5 and E12.5 mouse embryos using Asb2-specific antibody (green) and Troponin T (red). DAPI (blue) marks nuclei. Note
Asb2 expression colocalizes with Troponin T in the myocardium (arrows) and no expression is seen in the endocardial cells (arrow heads). Scale bar is
equivalent to 250 mm in the first three heart images left to right at E10.5 (top) and E12.5 (bottom), 25 mm in the E10.5 heart image top far right, and 50 mm in the
E12.5 heart image bottom far right as indicated in the figure.
ischemia-reperfusion injury (Pagan et al., 2013). Pharmacological inhibition of the proteasome is a new and
promising means for cardioprotection (Pagan et al., 2013). Paradoxically, enhancing UPS activity has in
some cases also provided protection against heart disease (Bulteau et al., 2001; Li et al., 2011; Powell
et al., 2007) highlighting the importance of defining the role of the UPS as a therapeutic target in cardiac
disease. In addition to its role as a protein quality control, the UPS has also been shown to regulate the
turnover of sarcomere proteins, including the myofibrillar proteins myosin, actin, and troponin. Examples
of this include the E3 Ub ligases MuRF1 (muscle-specific RING finger 1, targeting troponin I) and F box pro-
tein Fbx122 (targeting a-actinin and filamin C) (Kedar et al., 2004; Spaich et al., 2012). E3 ligases have also
been shown to regulate important signaling pathways in the heart, such as the JNK (c-Jun N terminal
kinase) (Laine and Ronai, 2005), calcineurin (Fan et al., 2008), and the VEGF (vascular endothelial growth
factor) signaling pathways (Murdaca et al., 2004). This important role of the UPS in the heart and its poten-
tial for a therapeutic target in cardiac disease brings about a need to understand its specific function in
heart development and disease. Using our previously described transgenic reporter system (Domian
et al., 2009), we identified Asb2 (ankyrin repeat-containing protein with a suppressor of cytokine signaling
box [SOCS box] 2) as being enriched in FHF and SHF cardiac progenitors. Asb2, which encodes specificity
subunit of Cullin 5 RING E3 Ub ligase, exists in two isoforms: Asb2a and Asb2b in mouse, corresponding to
variants 2 and 1 in humans, respectively (Bello et al., 2009). It has previously been shown to regulate differ-
entiation of myeloid leukemia cells and skeletal myogenesis through proteasomal degradation of filamin
proteins (Bello et al., 2009; Guibal et al., 2002; Heuze´ et al., 2008). Filamins (Flna, Flnb, and Flnc in mice)
are actin-binding proteins important for the stabilization of the actin-cytoskeleton (van der Flier and Son-
nenberg, 2001). Flnc is the only isoform expressed in the heart muscle where it is required for normal
contractility (Fujita et al., 2012). Flna expression in the heart is restricted to endocardial and mesenchymal
cells of the cardiac cushions during development and to valve leaflets in the adult heart (Norris et al., 2010).
FLNA and FLNC mutations have been linked to cardiac defects in humans (de Wit et al., 2011, 2009; Kyndt
et al., 2007; Valde´ s-Mas et al., 2014). In zebrafish, an additional Asb2 target TCF3 was very recently identi-
fied where TCF3 was negatively regulated by Asb2 during cardiogenesis (Fukuda et al., 2017). Asb2 down-
regulation was also shown to be a mediator of follistatin-induced muscle hypertrophy and SMAD2/3 regu-
lation of skeletal muscle mass in young adults in mice. The repression of Asb2 was, however, ameliorated in
aging mice, some of which also displayed increasing Asb2 baseline levels (Davey et al., 2016). Asb2 over-
expression was also shown to drive skeletal muscle atrophy in mice (Davey et al., 2016). A recent study also
showed that Asb2 knockout is embryonic lethal and that Asb2a targets Flna for proteasomal degradation
during early cardiomyocyte differentiation (Me´ tais et al., 2018). The embryonic lethality of Asb2 mutants
was shown to be primarily due to heart defects (Me´ tais et al., 2018).
Herein, we show that Asb2 knockout in the FHF and SHF are both embryonic lethal by E10.5 and E12.5,
respectively. Using tissue clearing combined with immunofluorescence technique, we show that Asb2
mutant hearts have incomplete looping. Moreover, Asb2 regulates cardiac morphogenesis partly through
Flna turnover, and we hereby propose a model where Asb2-Flna controls TGFb-SMAD signaling to drive
early cardiac formation. Additionally, Asb2 lethality in the anterior heart field (AHF) is partially rescued
by Flna removal from these hearts. We also show that Asb2 ablation in the AHF leads to double outlet right
ventricle (DORV), which is corrected upon further deletion of Flna from these hearts. Finally, we reveal that
Asb2 role in cardiomyocyte differentiation is conserved in human cardiomyocytes as well. Collectively, our
results shed light on the UPS regulation of heart development and its role as a cardio-therapeutic target
and provide evidence for the first time for the role of the UPS in the rare congenital heart defect, DORV.
RESULTS
Asb2 Is Highly Enriched in the Embryonic Heart
We have previously characterized a transgenic reporter system for the isolation of three distinct mouse
cardiac progenitor cells from developing embryos: FHF population, marked by Nkx2.5+.Mef2c- expression,
and two SHF population subsets: Nkx2.5-.Mef2c+ and Nkx2.5+.Mef2c+ (Domian et al., 2009). Genome-wide
iScience 23, 100959, March 27, 2020
3
E
A
B
C
D
Figure 2. Asb2 Is Essential for Early Cardiac Development
(A) Nkx2-5+/Cre.Asb2 E9.5 and E11.5 knockout (KO) embryos (fl/fl) versus wild-type littermates (Wt). Note the resorbing KO embryo at E11.5. Scale bar is
equivalent to 0.4 mm for E9.5 and 0.5 mm for E11.5 as indicated.
(B) AHF-Cre.Asb2 E10.5 and E12.5 knockout (KO) embryos (fl/fl) versus wild-type littermates (Wt). Note the resorbing KO embryo at E12.5. Scale bar is
equivalent to 0.5 mm for E10.5 and E12.5 as indicated in the figure.
(C) 3D reconstruction of CUBIC-cleared, Troponin-T-stained E9.5 whole control and Asb2 mutant embryos showing both ventral and dorsal views. Note the
bulging in the right ventricle of the control heart that is lacking in the mutant (indicated by the red arrow heads). Scale bar is equivalent to 200 mm as
indicated.
4
iScience 23, 100959, March 27, 2020
Figure 2. Continued
(D) Measurement of the heart tube of control and Asb2 mutant hearts. Note the statistically significant shorter heart tubes of the mutants. N = 5 per
group. Data are represented as mean G SEM. * = p < 0.005. Unpaired t test was used using GraphPad Prism; p < 0.05 is considered statistically significant.
(E) Heatmap analysis of a subset of cardiac looping differentially expressed genes in RNA-seq data from control (Nkx2-5+/Cre.Asb2fl/+) versus Nkx2-5+/Cre.Asb2
knockout E9.5 murine hearts. N = 3 in each group (each sample is in itself a combination of three to four hearts to account for heterogeneity among different litters).
transcriptional profiling and real-time PCR (qPCR) reveal Asb2 transcripts enrichment in the three popula-
tions (Figure 1A) (Domian et al., 2009). To investigate the temporal expression of Asb2 in the developing
heart, we performed qPCR analysis on RNA from mouse hearts at different stages of embryonic develop-
ment. Our data show that Asb2a is expressed similarly throughout heart development, whereas Asb2b
expression increases with development (Figure 1B). This is further confirmed by western blot analysis, which
shows that the Asb2 band in the embryonic heart co-migrates with that in the spleen (which expresses Asb2a
[Spinner et al., 2015]), whereas the Asb2 band in the adult heart co-migrates with that in the skeletal muscle
(known to express Asb2b [Bello et al., 2009]) (Figure 1C). To further investigate in vivo spatial cardiac expres-
sion of Abs2, we performed in situ hybridization on E9.5 embryos. Our data reveal robust expression of Asb2
transcripts predominantly in the left (LV) and right ventricles (RV) and to a lower extent in inflow (IFT) and
outflow tracts (OFT) (Figure 1D). Furthermore, immunostaining of E10.5 and E11.5 (Figure 1E, upper and
lower panels, respectively) embryonic sections using Asb2-specific antibody shows that, in the heart,
Asb2 expression (green) is restricted to the myocardium overlapping with cardiac Troponin T (red). White
arrows in the zoomed merged image at E10.5 (right panel) indicate overlap of Asb2 and Troponin T in
the myocardial layer, but no expression is seen in the endocardial layer indicated by arrow heads.
Asb2 Is Required for Early Cardiac Formation
To investigate the role of Asb2 during cardiac development, we generated two conditional knockout lines
(KO): Nkx2-5+/Cre (a mouse line with the Cre recombinase knocked into the Nkx2-5 locus) and AHF-Cre (a
mouse line with a transgene placing Cre under the transcriptional control of the AHF enhancer of the Mef2c
gene). These mouse lines allow for the targeted removal of (Lombardi et al., 2009) Asb2 from the whole
heart and the SHF, respectively (Lombardi et al., 2009). The floxed alleles are in common region and
inactivate both Asb2 isoforms. Both conditional KOs have pericardial edema and are embryonic lethal:
Nkx2-5+/Cre.Asb2fl/fl mice die at E10.5–11 and AHF-Cre.Asb2fl/fl die at E11.5–12 (Figures 2A and 2B, respec-
tively). AHF-Cre.Asb2fl/fl mice analyzed at E10.5 also have shorter OFT compared with their control litter-
mates (Figure S1D). For Nkx2-5+/Cre.Asb2fl/fl, mice were analyzed at E8.5 (3 litters), E9.5 (23 litters), E10.5
(3 litters), and E11.5 (2 litters); for AHF-Cre.Asb2fl/fl, mice were analyzed at E9.5 (3 litters), E10.5 (4 litters),
and E12.5 (2 litters). Each litter consists of 8–11 embryos in total. All embryos were genotyped. Figure S1A
shows the reduced level of Asb2 in the heterozygotes (Nkx2-5+/Cre.Asb2fl/+) and the complete loss of Asb2
in the knockouts (Nkx2-5+/Cre.Asb2fl/fl).
In order to perform a phenotypic analysis of the Nkx2-5+/Cre-Asb2fl/fl mutant embryos, we used state-of-
the-art tissue clearing technique CUBIC combined with immunostaining. CUBIC can effectively clear
mice embryos and embryonic hearts while preserving immunolabels (Kolesova´ et al., 2016; Tainaka
et al., 2014). Nkx2-5+/Cre-Asb2fl/fl and control littermates e9.5 mice embryos were cleared with CUBIC
and stained for Troponin T to mark cardiomyocytes as well as DAPI for nuclei. Confocal microscopy with
optical sectioning followed by 3D-reconstruction allowed the precise visualization of the developing hearts
without disruption of underlying anatomy. During cardiac morphogenesis, the straight heart tube
undergoes sequential looping steps to get to the fully looped heart. The fully looped heart acquires a he-
lical shape in mice that is also referred to as the mature S-loop in chicks (Le Garrec et al., 2017; Ma¨ nner,
2009). In Le Garrec et al. paper, they used computer modeling to simulate the biological process of mouse
cardiac looping, incorporating in their model the left-right asymmetry and mechanical constraints seen in
the looping heart. Their findings suggest that the lack of any of these parameters would lead to a C-shaped
heart loop rather than the helical structure. In the chick, the heart is first transformed into a C-shaped heart,
a process known as dextral looping. The C-loop is then converted into an immature S-loop that then trans-
forms into a mature S-looped heart where the ventricular segments are curved outward to generate the left
and right chambers (Ma¨ nner, 2009). As shown in Figure 2C, the mutant embryos do not form the full helical
structure seen in the control littermates. Instead, they have partially looped hearts that resemble the
C-shaped hearts in the chick (Ma¨ nner, 2009). Moreover, measurement of the heart tube length in mutant
versus control hearts reveals statistically significant shorter tubes in the mutant hearts (Figure 2D). Video
S1 is a z stack of stained control and mutant e9.5 embryos showing the incomplete looping in the mutant
embryo. Figure S1C represents four images from the z stack at different depth in the embryo. Four to five
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Figure 3. Asb2 Targets Flna for Proteasomal Degradation in the Developing Heart and Asb2-Mutant Hearts Have an Altered Gene Expression
Profile
(A) Immunohistochemistry on E9.5 Abs2 heterozygote (Nkx2-5+/Cre.Asb2fl/+, middle pane) and mutant hearts (Nkx2-5+/Cre.Asb2fl/fl, lower panel) as well as Wt
controls (top panel) using Flna (red) and Troponin-T (green)-specific antibodies. Note that FlnA expression is restricted to the endocardial layer (white arrow
heads) in the Wt heart, whereas it is abnormally expressed in the myocardial layer in the Asb2-mutant hearts co-localizing with Troponin-T expression there
(white arrows). Moreover, some cardiomyocytes in the outflow tract of the Asb2-heterozygous hearts also express Flna (yellow arrows) suggesting a dose-
dependent regulation. Scale bar is equivalent to 250 mm in the first column (left), 100 mm in the second, third, and fourth columns, and 25 mm in the fifth
(far right) column as indicated in the figure.
(B) Heatmap analysis of RNA-seq data from control (Group1: Nkx2-5+/Cre.Asb2fl/+), Asb2 mutant (Group2: Nkx2-5+/Cre.Asb2fl/fl), Flna mutant (Group3:
Nkx2-5+/Cre.Flnafl/y), and Asb2-Flna double mutant (Group4: Nkx2-5+/Cre.Asb2fl/fl.Flnafl/y) E9.5 murine hearts. Note the high level of differentially expressed
genes in the Asb2-mutant and Asb2-Flna double mutant versus the control groups. A small subset of genes (indicated by arrows) that are perturbed in the
Asb2-mutant hearts are restored to normal in the Asb2-Flna double mutants. N = 3 in each group (each sample is in itself a combination of three to four
hearts to account for heterogeneity among different litters).
(C) Heatmap analysis of a subset of genes from the RNA-seq data in (B) that are part of the Tgfb/Smad signaling pathway. Note that the Foxa genes
expression levels (indicated with a yellow line) that are downstream of the Tgfb/Smad are restored to normal in the Asb2-Flna double mutants versus the
Asb2-mutant hearts.
embryos were analyzed for each condition. The efficiency of the CUBIC/immunostaining technique on e9.5
mouse embryo is evidenced by the clearly visible striations of the cardiac muscle fibers (Figure S1B).
In order to identify Asb2 downstream targets in the heart, RNA sequencing (RNA-seq) analysis was per-
formed on Nkx2-5+/Cre.Asb2fl/fl and control littermates (Figure 3B) (Figure S2C shows reduced levels of
Asb2 transcripts in the Nkx2-5+/Cre.Asb2fl/fl knockout compared with the Nkx2-5+/Cre.Asb2fl/+ heterozygote
control). The gene expression profile was greatly altered in the Asb2 mutant hearts compared with their
control littermates (Group 2 versus Group 1) (Figure 3B). Of note, a number of genes that are mis-expressed
in the Asb2 cardiac mutant hearts have been previously linked to abnormal cardiac looping in mice (Figure
2E) (Azhar et al., 2003; Bardot et al., 2017; Chen et al., 1997; Le Garrec et al., 2017; Mine et al., 2008; Ribeiro
et al., 2007; Vincentz et al., 2011). Ingenuity Pathway Analysis also shows that ‘‘cardiovascular system devel-
opment and function’’ as well as ‘‘cardiovascular disease’’ are among the top pathways altered in the Asb2
mutant hearts (Table S1, yellow highlights). Table S2 is an upstream analysis with the ones with a positive
activation Z score > 1.5 highlighted in yellow. This list shows the pathways whose downstream targets are
altered (upregulated or downregulated) in our knockouts versus controls. Targets with a positive Z score
suggest upregulation pathways in the Asb2 mutant hearts.
Asb2 Controls Cardiac Morphogenesis Partly through Regulating Filamin A
Since Asb2 targets filamin proteins for degradation (Me´ tais et al., 2018) and Flna perturbations lead to car-
diac defects and embryonic lethality (Feng et al., 2006), we investigated cardiac Flna expression in the
Nkx2-5+/Cre.Asb2fl/fl. Flna expression in the control heart (Figure 3A, top panel) is restricted to endocardial
and pericardial layers (red staining, white arrow heads). In the knockout embryos (Figure 3A, third panel),
Flna’s expression domain is abnormally expanded to include the myocardial layer (white arrows), co-local-
izing with Troponin T expression (green for Troponin and yellow for the co-localization). Moreover, in
Nkx2-5+/Cre.Asb2fl/+ heterozygous hearts (Figure 3A, second panel), Flna is abnormally expressed in
some cardiomyocytes of the OFT myocardium (yellow arrows) suggesting that Asb2 regulation of Flna turn-
over is dose dependent. We then hypothesized that,
if Asb2 cardiac mutant phenotype is due to
overexpression of Flna, then concurrently deleting Flna along with Asb2 should suppress the Asb2
phenotype. (Please note that Flna is an x-linked gene so a knockout is denoted by fl/fl for female or fl/y
for male, whereas a heterozygous is denoted by fl/x or fl/+.) To examine this hypothesis, we developed
Nkx2-5+/Cre.Asb2fl/fl.Flnafl/y double mutants. Removal of Flna from the hearts of Nkx2-5+/Cre.Asb2fl/fl did
not rescue lethality (Figure S2A). Approximately 16 litters were analyzed at E9.5 and 3 litters at E10.5. As
expected, Nkx2-5+/Cre.Asb2fl/fl.Flnafl/fl double knockouts no longer harbor ectopic Flna expression in the
myocardium (Figure S2B) as was previously seen with the Nkx2-5+/Cre.Asb2fl/fl single knockouts (Figure 3A).
Instead, the double knockouts have normal endocardial expression of Flna similar to their control litter-
mates (Figure S2B). RNA-seq analysis on e9.5 hearts from these mice show that their gene expression pro-
file is closely related to the Nkx2-5+/Cre.Asb2fl/fl group (Group 2 versus Group 4) (Figure S2C shows
reduced levels of Asb2 transcripts in the Nkx2-5+/Cre.Asb2fl/fl.Flnafl/y double knockout compared with
the Nkx2-5+/Cre.Asb2fl/+ heterozygote control). However, some genes whose expression was altered in
the Nkx2-5+/Cre.Asb2fl/fl group are restored to normal in the Nkx2-5+/Cre.Asb2fl/fl.Flnafl/y hearts (indicated
by arrows and shown in Table S3). These results suggest that Flna concurrent deletion can restore the
normal expression level of a subset of genes in the Asb2 mutant hearts. Among these genes are the
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Figure 4. Tgfb/Smad Signaling Activity Is Downstream Asb2-Flna in the Developing Heart
(A) Schematic representation of Asb2-Flna-Smad2 interaction network using MetaCore Clarivate Analytics software. Note that Asb2 ubiquitinates and
negatively regulates Flna, whereas Flna binds directly to and positively regulates Smad2.
(B) Immunohistochemistry on Nkx2-5+/Cre.Asb2 mutant (middle panel) and Nkx2-5+/Cre.Asb2-Flna double mutant (last panel) murine hearts as well as wild-
type controls (top panel) using pSmad2-specific antibody (green) and Troponin T (red). Note the nuclear localization of pSmad2 as a sign of Tgfb/Smad2
cycle activation. Examples of positive (purple arrowhead) and negative (yellow arrowheads) nuclei are indicated in the Wt sample (red box). DAPI marks all
nuclei (AV, atrioventricular canal; V, primitive ventricle; OFT, outflow tract; Myo, myocytes; Endo, endocardial cells). Myocardial cells are marked by white
arrows; endocardial cells are marked by white arrowheads. Scale bar is equivalent to 75 mm in the first two columns from the left and 25 mm in the third, fourth,
and fifth columns as indicated in the figure.
(C) Quantification of the immunostaining in (B) of percentage of pSmad2-positive nuclei in cardiomyocytes ((AV+V) Myo and OFT Myo) as well as endocardial cells (AV
endo). Note the increased level of pSmad2-positive nuclei in Asb2-mutant myocytes that are restored to normal in the Asb2-FlnA double mutants. This regulation is
not seen in the endocardial cells that do not express Asb2 (Figure 1E). n = 7 for Wt; n = 4 for Nkx2-5+/Cre.Asb2fl/fl; n = 3 for Nkx2-5+/Cre.Asb2fl/fl.Flnafl/fl. Data are
represented as mean G SEM. * = p < 0.05 Control versus Nkx2-5+/Cre.Asb2fl/fl; # = p < 0.05 Nkx2-5+/Cre.Asb2fl/fl versus Nkx2-5+/Cre.Asb2fl/fl.Flnafl/fl; NS = not
significant. Two-way ANOVA was used for analysis using GraphPad Prism. p < 0.05 is considered statistically significant.
Foxa genes, which are downstream of the Tgfb/Smad signaling (Figure 3C, yellow line) (Tang et al., 2011).
Other genes in the Tgfb/Smad pathway are also altered in both Asb2-mutant and Asb2.Flna double mutant
hearts (Figure 3C). Figure S2D is a qPCR analysis confirming some of these altered genes. Tgfbr1 and InhA
(which encodes a member of the Tgfb superfamily) are also among the positively regulated targets in the
upstream analysis of the RNA-seq data of Asb2-mutant hearts versus control (Table S2). Both genes are no
longer positively regulated in the upstream analysis of the list of genes corrected in the Asb2-Flna double
mutant hearts (Table S3, yellow highlights). These data prompted further analysis of the Asb2/Flna regula-
tion of TGFb/Smad signaling in the heart of these mice.
Asb2 Regulates TGFb/Smad Signaling through Regulating Filamin A Protein
TGFb signaling is initiated upon ligand-stimulated activation of serine/threonine receptor kinases that in
turn lead to phosphorylation and activation of Smad proteins. Activated Smads interact with common
signaling transducer Smad4, translocate to the nucleus, and activate downstream targets (Shi and
Massague´ , 2003). Flna directly associates with Smad2 and Smad2 phosphorylation, and TGFb/Smad2
signaling is impaired in Fln-null human melanoma cells (Sasaki et al., 2001; Zhou et al., 2011). Moreover,
FLNA mutations were linked to x-linked myxomatous valvular dystrophy, a multivalve degeneration disor-
der, and disrupted TGFb/Smad2/3 signaling was implicated in the disease pathogenesis (Geirsson et al.,
2012; Norris et al., 2010). Using the ‘‘Build Network’’ module in MetaCore Clarivate Analytics software, we
investigated the Asb2-Flna-Smad2 interaction. As shown in Figure 4A, Asb2 negatively regulates Flna
through ubiquitination and Flna positively regulates Smad2 through direct binding. Asb2, Flna, and
Smad2 are shown in red for visualization. In order to investigate further Asb2/Flna regulation of TGFb/
Smad2 signaling in cardiac development, we immunostained E9.5 Asb2-mutant hearts with antisera
directed against pSmad2 (Figure 4B) and then quantified the pSmad2-positive nuclei. Figure 4C shows
significant increase in the percentage of pSmad2-positive nuclei in the Nkx2-5+/Cre.Asb2fl/fl myocytes (pre-
viously shown to have overexpression of Flna [Figure 3A]) compared with their littermate controls. This
increase was not seen in the endocardial cells where Flna expression is normal (Figure 3A). Interestingly,
pSmad2 levels were restored to normal in the Nkx2-5+/Cre.Asb2fl/fl.Flnafl/fl (double mutant) myocytes further
confirming that Asb2 regulates pSmad2 in the heart through the regulated turnover of Flna.
Flna Removal from AHF-Cre.Asb2 Mutant Hearts Partially Rescues Embryonic Lethality
To examine Flna expression in the AHF-Cre.Asb2fl/fl hearts (where Asb2 is knocked out in the RV and OFT
only), Flna immunostaining was performed. As shown in Figure 5A, Flna expression (red) is restricted to the
endocardial and epicardial layers in the control hearts (top panel, white arrow heads), whereas it is aber-
rantly expressed in the myocardial layer of the OFT and RV only (red staining lower panel, white arrows),
co-localizing with TroponinT expression (yellow staining lower panel) there. Flna expression was normal
in the myocardial layer of the primitive left ventricle (PV) that harbors normal Asb2 expression and acts
as an internal control in these mice. We then sought to examine the effect of further knocking out Flna
from the AHF-Cre.Asb2-mutant hearts. To do this, we crossed Asb2fl/fl.Flnafl/fl with AHF-Cre.Asb2fl/+
mice. Our results show that AHF-Cre.Asb2fl/fl.Flnafl/y are born with the expected Mendelian ratios
(Figure 5B); however, newborn pups die between P0.5 and P1.5. These results show that Flna deletion
partially rescues Asb2 lethality. The AHF-Cre.Asb2fl/fl.Flnafl/+ also survive to birth albeit at a lower percent-
age from what is expected by Mendelian ratios; these mice also die right after birth at P0.5.
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Control
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6/31 (19.3%)
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Control
50%
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Dead at P0.5-1.5
Figure 5. Flna Removal from AHFCre.Asb2 Mutant Hearts Partially Rescues Their Lethality
(A) Immunohistochemistry on E9.5 AHF-Cre.Abs2 mutant hearts (AHF-Cre.Asb2fl/fl, lower panel) and littermate controls (AHF-Cre.Asb2fl/+, top panel) using
Flna (red)- and Troponin-T (green)-specific antibodies. Note overexpression of Flna in the OFT (white arrows) of the AHF-Cre.Asb2 mutant hearts but not the
primitive left ventricle (PV) that harbors normal Asb2 levels thus serving as an internal control. Flna expression in the control hearts is restricted to the
endocardial layer (white arrow heads). Scale bar is equivalent to 250 mm in the first column (left); 100 mm in the second, third, and fourth columns; 25 mm in the
fifth column (far right) as indicated.
(B) Table showing the survival of AHF-Cre.Asb2 mutant (top) and AHF-Cre.Asb2-Flna double mutant (bottom) mice. Note that no AHF-Cre.Abs2 mutant mice
are observed at P0.5. However, the AHF-Cre.Asb2-Flna double mutant (Asb2fl/fl.Flnafl/y) mice are born at the expected Mendelian ratios. AHF-Cre.Asb2-
mutant mice harboring one copy of Flna (Asb2fl/fl.Flnafl/+) are also born yet at lower percentage than what is expected by Mendelian genetics. These mice
die, however, right after birth. P0.5, postnatal day 0.5.
Asb2 Removal from the Anterior Heart Field Leads to Double Outlet Right Ventricle) in Mice
To determine the cardiac defects of the AHF-Cre.Asb2fl/fl.Flnafl/+, we examined these mice at e16.5–e17.5 after
the completion of cardiac morphogenesis but prior to the perinatal mortality associated with this genotype. Five
litters were analyzed. Figure 6A shows the survival rate of these mice at E16.5. Gross examination of these hearts
revealed that both the aorta and the pulmonary artery originate in the RV (Figure 6B, middle panel, yellow circle).
In contrast, both the control hearts (Figure 6B, left panel) and those with AHF-Cre.Asb2-Flna double mutant (Fig-
ure 6B, right panel) were grossly normal with the pulmonary artery originating in the RV and the aorta originating in
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Figure 6. AHF-Asb2 Mutant Hearts Have Double Outlet Right Ventricle and Ventricular Septal Defect
(A) Table showing the survival of AHF-Cre.Asb2-Flna double mutant mice at E16.5.
(B) E16.5 whole hearts of AHF-Cre.Asb2-mutant embryos with one copy of Flna (AHF-Cre.Asb2fl/fl.Flnafl/x), AHF-
Cre.Asb2.Flna double mutants (AHF-Cre.Asb2fl/fl.Flnafl/fl), and wild-type control. Note that both the pulmonary artery (PA)
and the aorta (Ao) are open in the right ventricle (RV) of the AHF-Cre.Asb2fl/fl.Flnafl/x hearts (yellow circle). Scale bar is
equivalent to 0.02 mm as indicated.
(C) Masson trichrome staining of E16.5 heart sections of control (Wt) (top), AHF-Cre.Asb2fl/fl.Flnafl/x (middle), and AHF-
Cre.Asb2fl/fl.Flnafl/fl (bottom) embryos. Note that both the pulmonary artery and the aorta open in the right ventricle of the
AHF-Cre.Asb2fl/fl.Flnafl/x hearts (yellow circle, middle panel) but not the Wt or the AHF-Cre.Asb2fl/fl.Flnafl/fl hearts. The
AHF-Cre.Asb2fl/fl.Flnafl/x also have a VSD indicated by asterisk (middle panel, right). Ao, aorta; PA, pulmonary artery; RV,
right ventricle; LV, left ventricle; IVS, interventricular septum. Scale bar is equivalent to 250 mm.
(D) Number of E16.5 hearts with DORV in Wt, AHF-Cre.Asb2fl/fl.Flnafl/x, and AHF-Cre.Asb2fl/fl.Flnafl/fl embryos. Note that
5/5 Asb2fl/fl.Flnafl/x have DORV accompanied by a VSD suggesting 100% disease penetrance in these mice.
the LV. Serial sections of mutant and control hearts (Figure 6C) further confirm that the AHF-Cre.Asb2fl/fl.Flnafl/x
mice have DORV (Figure 6C middle panel, yellow oval). This is also accompanied by a ventricular septal defect
(Figure 6C middle panel right, indicated by asterisk), a feature commonly associated with DORV in patients
with congenital heart disease (Obler et al., 2008). As shown in Figure 6D, the DORV phenotype appeared to
be fully penetrant in the AHF-Cre.Asb2fl/fl.Flnafl/x hearts. Notably, the DORV phenotype is corrected in the
AHF-Cre.Asb2-Flna double mutant hearts (AHF-Cre.Asb2fl/fl.Flnafl/y, Figure 6C lower panel).
Asb2 Is Required for Human Embryonic Stem Cell-Derived Cardiomyocyte Differentiation
To further investigate if the requirement for Asb2 for cardiac development is conserved during human cardiomyo-
(hESC)-derived cardiomyocyte in vitro
cyte differentiation, we turned to human embryonic stem cell
differentiation. Both ASB2 variants 1 (Asb2b in mice) and 2 (Asb2a in mice) are expressed at different stages of
cardiomyocyte differentiation (Figure 7A, top and bottom graphs, respectively). Using CRISPR/Cas9 genome ed-
iting technology, we then generated ASB2-null hESCs. The guides were designed in exon 2 (targeting variant 1
specifically) or exon 4 (targeting variants 1 and 2) (Figure S3A). Four wild-type (Wt) (received the CRISPR/Cas9 con-
structs but failed to generate an in/del) and four knockout (KO) lines were generated. The genotype of all lines was
confirmed by sequencing (refer to Transparent Methods), and the knockouts were confirmed by qPCR (Figure 7B,
right panel). Wt clones were able to differentiate into beating cardiomyocytes, whereas all four KO lines failed to
do so (Video S2, top panels for Wt clones and bottom panels for KO clones). Calcium cycling was also impaired in
the Asb2-null derived hESCs (Video S3, left panel for Wt and right panel for KO, and Figure S3B). Two Wt and two
KO lines were used for further investigation. qPCR analysis on RNA from cardiomyocytes derived from these cells
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Figure 7. ASB2 Is Essential for Human Embryonic Stem Cell (hESC)-derived Cardiomyocytes Differentiation
(A) qPCR analysis of RNA from hESC-derived cardiomyocytes at different stages of differentiation. Note that both ASB2 variants are expressed at the
different stages. N = 4 for D0, n = 5 for all other stages. Data are represented as mean G SEM.
(B) qPCR analysis of RNA extracted from two different wild-type (Wt) clones and two ASB2 mutant (KO) clones d7 (left) and d15 (right) differentiated hESCs.
Note reduced Troponin T (differentiation marker) transcripts in the mutants at d15 and no difference in MESP1 and NKX2-5 (cardiac progenitor markers)
levels at d7. N = 3 per sample for d7 and N = 4 per sample for d14. Data are represented as mean G SEM. * = p < 0.05. Two-way ANOVA was used for analysis
using GraphPad Prism. p < 0.05 is considered statistically significant.
(C and D) Immunostaining of d8 (C) and d15 (D) differentiated Wt and ASB2 mutant cells (KO). Note reduced Troponin T (red)-positive mutant cells at d15 but
no difference in NKX2-5 (green) levels between Wt and mutant cells at both stages. DAPI (blue) marks all nuclei. Scale bar is equivalent to 8 mm in (C) and
10 mm in (D) as indicated.
shows that cardiac Troponin T transcript levels (TNNT2, marker of cardiomyocyte differentiation) are greatly
reduced in the KO lines at d15 of differentiation (Figure 7B, right). On the other hand, both NKX2-5 and
MESP1 (markers of cardiac progenitors) are normally expressed at d7 of differentiation (Figure 7B, left). This
was further confirmed at the protein level by immunostaining that shows great reduction in cardiac Troponin T
(red) expression at d15 (Figure 7D) and normal NKX2-5 levels (green) at days 15 and 8 (Figures 7C and 7D, respec-
tively). These data suggest that Asb2-null hES cells can commit to the cardiac lineage but arrest in differentiation
prior to the generation of functional cardiomyocytes.
We then examined if ASB2 regulation of the TGFb/SMAD signaling seen in mice hearts is conserved in the
human cells. As discussed above, upon TGFb/Smad activation, the signaling transducer Smad4 is
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Figure 8. ASB2 Is an Upstream Regulator of TGFb/SMAD Pathway in hESC-derived Cardiomyocytes
(A) Immunostaining of d15 Wt and ASB2 mutant (KO) hESC-derived cardiomyocytes using SMAD4-specific antibody
(green). Note reduced level of nuclear but not total mean fluorescence intensity of SMAD4-positive cells in the KOs
(quantification graphs on the right). DAPI (blue) marks all nuclei. Scale bar is equivalent to 75 mm in the first column and
25 mm in the second and third columns as indicated. *: p < 0.005 significant versus Wt. Unpaired t test was used for analysis
using GraphPad Prism.
(B and C) (B) Western blot analysis of Wt and ASB2 mutant (KO) hESC-derived cardiomyocytes using SMAD4, SMAD2, and
pSMAD2 antibodies. Note increase of SMAD4 and pSMAD2 in the mutant clones. Data are representative of three
separate experiments (C) Quantification of the western blot analysis in (B). Data are average of quantification from three
separate experiments. *: significant versus Wt1 and Wt2. p < 0.05 is considered statistically significant. One-way ANOVA
was used for analysis using GraphPad Prism.
translocated to the nucleus to activate downstream targets. Figure 8A shows an increase in nuclear SMAD4
(green) in the ASB2-null hES-derived cardiomyocytes. The nuclear versus total SMAD4 was quantified (Fig-
ure 8A, right graph) showing that nuclear SMAD4 signal is doubled in the ASB2-null cells, whereas total
Smad4 levels remain the same. Western blot analysis on total protein extracts from these cells also confirms
significant increase in both SMAD4 and pSMAD2 protein levels (Figures 8B and 8C). This further confirms
that the TGFb/SMAD signaling pathway is activated in Asb2-null cardiomyocytes.
DISCUSSION
In this study, we provide strong evidence for the role of Asb2 in controlling heart morphogenesis partly
through its regulation of the actin-binding protein, Filamin A (Flna), and Tgfb/Smad signaling. We further
show that this regulation is part of the DORV disease pathogenesis.
Using CUBIC clearing technique combined with immunofluorescence and confocal microscopy, we show
that the Asb2-mutant hearts have shorter heart tubes and do not form the fully looped helical structure.
RNA-seq analysis also reveals that a number of genes that have been linked to cardiac looping defects
iScience 23, 100959, March 27, 2020
13
are altered in the Asb2-mutant hearts. Recent morphological analysis of Asb2 null embryos suggested that
cardiac looping in the total body null is largely intact (Me´ tais et al., 2018). To examine this more carefully, we
exploited recent advances in tissue clearing coupled to optical sectioning and 3D reconstruction. This anal-
ysis of the intact embryos, however, allows us to refine these findings and to examine the Asb2 mutant
hearts more thoroughly and at a slightly later point in development. Although the hearts do start to
loop, they arrest early on before making it to the helical fully looped heart. Measurement of the heart
tube length reveals shorter heart tubes in the mutant hearts, which could explain the inability of the heart
to fully form the helical structure. These data further reveal the important role of Asb2 regulation of cardi-
omyocyte differentiation on the normal growth of the heart tube. We show that the CUBIC technique
combined with immunofluorescence/confocal microscopy has distinct advantages over
traditional
morphological analysis for the phenotypic analysis of mouse embryos and allows for the detection of subtle
phenotypes and morphological abnormalities.
Our data further reveal that Filamin A (Flna) is aberrantly overexpressed in the Asb2-mutant cardiomyo-
cytes that normally do not express Flna protein. This is consistent with the data that Metais et al. reported.
We also show that this regulation is dose dependent. We further show that Asb2-Flna regulate Tgfb-Smad
signaling. Nuclear pSmad2 is overexpressed in the Asb2-mutant hearts consistent with the upregulation of
this signaling pathways. Its levels are restored to normal in the Asb2.Flna double mutants further showing
that Asb2 regulates SMAD signaling through the Flna pathway. RNA-seq analysis also reveals that regula-
tion of the Tgfb-Smad pathway in the Asb2-mutant hearts and the Foxa genes, which are downstream
effectors of the Tgfb/Smad signaling (Tang et al., 2011), is in fact restored to normal in the Asb2-Flna dou-
ble mutants. Flna has been previously shown to associate with Smad2 signaling (Sasaki et al., 2001).
Moreover, Tgfb/Smad2/3 signaling is impaired in the multivalve degeneration disorder, X-linked myxoma-
tous valvular dystrophy, in which FLNA mutations were reported (Geirsson et al., 2012; Norris et al., 2010).
Our data provide further evidence for regulation of the Tgfb/Smad cycle by Flna and show that Asb2 is
upstream of this regulatory pathway in the developing heart.
Using human embryonic stem cell (hESC)-derived cardiomyocytes, we further show that the Asb2 role in
embryonic heart differentiation is conserved in humans. Although ASB2-null hESCs are able to form cardiac
progenitor cells (marked by expression of MESP1 and NKX2-5), they have an impaired ability to differen-
tiate into beating TNNT+ cardiomyocytes. It is important to note here that the difference between
Troponin T levels in the Asb2-null hESCs and the Asb2 mutants in vivo could be due to the total knockout
in the cells that is more severe than the conditional in vivo knockout. Additionally, the cell system lacks
signaling coming from the endocardium, which could also explain this difference. These results demon-
strate that, in human PSCs differentiating in vitro, ASB2-mediated targeted degradation is required for
the differentiation from NKX2-5+ progenitors to beating TNNT+ cardiomyocytes and that deletion of
ASB2 results in a differentiation arrest at the progenitor stage. Moreover, the finding that these cells
have increased levels of SMAD4 and pSMAD2, markers of TGFb/SMAD pathway activation, provides
further evidence that ASB2 is an upstream regulator of the TGFb/SMAD pathway during the differentiation
of human cardiomyocytes. These considerations become increasingly important given the potential of
pluripotent stem cell-derived CMs to serve as a renewable cell source for cardiac regeneration in the
injured heart.
Given that Flna is a direct target of Asb2 that is aberrantly upregulated in Asb2-mutant cardiomyocytes, we then
investigated whether Asb2 cardiac mutant embryonic lethality can be rescued by the concurrent deletion of Flna.
Accordingly, we generated AHF-Cre.Asb2fl/fl.Flnafl/y double mutants. Our data show that, as opposed to the
AHF-Cre.Asb2fl/fl single mutants that die by E11.5, the AHF-Cre.Asb2fl/fl.Flnafl/y double mutants are born with
the expected Mendelian ratios (Figure 5B) but die shortly after birth. This suggests partial rescue of lethality
seen in the AHF-Cre.Asb2fl/fl mutant hearts. Of note, we also generated Nkx2-5+/Cre.Asb2fl/fl.Flnafl/Y double
mutants that did not rescue the Asb2 lethality (Figure S2A), suggesting a greater Asb2 dependency or a more
complex phenotype in these mice. These findings are not surprising owing to earlier and broader expression
domain of the Nxk2-5Cre compared with the AHF-Cre line. Moreover, AHF-Asb2-mutant mice with one Flna allele
(AHF-Cre.Asb2fl/fl.Flnafl/x) sometimes also survive to P0, albeit at significantly lower than expected ratios (Fig-
ure 5B). Not only do these results suggest a dose dependency of Asb2 and its target Flna but they also allow
us to identify DORV associated with ventricular septal defect (VSD) as a penetrant cardiac phenotype. More inter-
estingly, this phenotype was rescued when Flna was abrogated by the concurrent deletion of Flna showing that
both Asb2 and Flna play a functional role in the pathogenesis of DORV.
14
iScience 23, 100959, March 27, 2020
During cardiac development, the heart first forms as a primitive heart tube that then elongates and starts to
loop by addition of cells from the anterior, posterior, and second heart field at both the venous and arterial
poles. At the onset of looping, left-right asymmetry in the heart becomes morphologically evident and any
defects in this process can lead to complex congenital heart problems, including DORV and VSDs (Rams-
dell, 2005). The heart is the first organ to break the left-right symmetry in the developing embryo, and it has
been shown that the actin-cytoskeleton is fundamental for laterality and modulation associated with heart
looping. It was shown to provide the built-in mechanism required for cells to acquire left-right asymmetry
(Linask and Vanauker, 2007; Tee et al., 2015). Abnormalities in the control of construction of the cytoskel-
eton has been previously shown to result in looping defects and ultimately lead to congenital heart prob-
lems (Langdon et al., 2012; Linask and Vanauker, 2007). Our data and the data from Metais et al. provide
solid evidence for the Asb2-Flna regulation of the actin cytoskeleton during heart morphogenesis (Me´ tais
et al., 2018). Our data extend this regulation to show that it is important for normal heart tube and OFT
development and, if perturbed, leads to DORV and VSD in the developing mammalian heart. Additionally,
we suggest a mechanism where Asb2 downregulation leads to abnormal overexpression of Flna that ulti-
mately leads to increased activity of the Tgfb/Smad2 signaling in the myocardium thus causing growth/
elongation defects and DORV in the mammalian heart. Indeed, prior reports have implicated the Tgfb
superfamily and Smad2/3 in left-right asymmetry, and Tgfb2 mutant mice have been shown to develop
DORV and die right after birth (Azhar et al., 2003; Sanford et al., 1997; Whitman and Mercola, 2001). In
humans, a missense mutation in Flna (c.5290G>A (p.A1764T) has been reported in a patient with DORV
(de Wit et al., 2011). Since missense mutations can result in both loss and gain of function, future studies
will be required to determine the effect of this mutation on Flna expression and function. Thus, our data
demonstrate a link between targeted protein turnover and the development of DORV and highlights
the potential of the ASB2/FLNA axis as a diagnostic, prognostic, and/or therapeutic target for patients
with DORV.
Limitations of the Study
Although our data show that the role of Asb2 in heart morphogenesis is conserved between mice and
human, a limitation is that the in vivo murine system is a conditional knockout compared with the total
knockout in the human cells system. Additionally, as we know, a cross talk between the endocardium
and the myocardium occurs during heart morphogenesis, and this again is lacking in our human cell system.
METHODS
All methods can be found in the accompanying Transparent Methods supplemental file.
DATA AND CODE AVAILABILITY
RNA-seq data have been deposited in NCBI’s Gene Expression Omnibus (GEO). The accession number for
the RNA-seq data reported in this paper is GEO: GSE145495.
SUPPLEMENTAL INFORMATION
Supplemental Information can be found online at https://doi.org/10.1016/j.isci.2020.100959.
ACKNOWLEDGMENTS
We thank all members of the Domian Lab for valuable insight and suggestions. We also thank the his-
tology core at Dana Farber Cancer Institute/Harvard Medical School and the NextGen Sequencing
core at Massachusetts General Hospital for technical support. This work was supported by the American
Heart Association (17GRNT33630170), the Centre National de la Recherche Scientifique, and the Univer-
sity of Toulouse. A.Y. is a recipient of the Fund for Medical Discovery (FMD) Award from the Massachu-
setts General Hospital/Harvard Medical School.
AUTHOR CONTRIBUTIONS
Conceptualization, A.Y. and I.J.D.; Methodology, A.Y. and I.J.D.; Investigation A.Y., D.H., N.M., J.W.B., and
S.D.; Writing – Original Draft, A.Y.; Writing – Review & Editing, A.Y., P.G.L., C.M.-L, P.T.L., and I.J.D.; Visu-
alization, A.Y.; Supervision, A.Y. and I.J.D.; Funding Acquisition, A.Y. and I.J.D.
iScience 23, 100959, March 27, 2020
15
DECLARATION OF INTERESTS
The authors declare no competing interests.
Received: August 16, 2019
Revised: December 17, 2019
Accepted: February 26, 2020
Published: March 27, 2020
REFERENCES
Azhar, M., Schultz, J.E.J., Grupp, I., Dorn, G.W.,
Meneton, P., Molin, D.G.M., Gittenberger-de
Groot, A.C., and Doetschman, T. (2003).
Transforming growth factor beta in
cardiovascular development and function.
Cytokine Growth Factor Rev. 14, 391–407.
Bardot, E., Calderon, D., Santoriello, F., Han, S.,
Cheung, K., Jadhav, B., Burtscher, I., Artap, S.,
Jain, R., Epstein, J., et al. (2017). Foxa2 identifies a
cardiac progenitor population with ventricular
differentiation potential. Nat. Commun. 8, 14428.
Bello, N.F., Lamsoul, I., Heuze´ , M.L., Me´ tais, A.,
Moreaux, G., Calderwood, D.A., Duprez, D.,
Moog-Lutz, C., and Lutz, P.G. (2009). The E3
ubiquitin ligase specificity subunit ASB2beta is a
novel regulator of muscle differentiation that
targets filamin B to proteasomal degradation.
Cell Death Differ. 16, 921–932.
Bruneau, B.G. (2008). The developmental
genetics of congenital heart disease. Nature 451,
943–948.
Bulteau, A.L., Lundberg, K.C., Humphries, K.M.,
Sadek, H.A., Szweda, P.A., Friguet, B., and
Szweda, L.I. (2001). Oxidative modification and
inactivation of the proteasome during coronary
occlusion/reperfusion. J. Biol. Chem. 276,
30057–30063.
Chen, J.N., van Eeden, F.J., Warren, K.S., Chin,
A., Nu¨ sslein-Volhard, C., Haffter, P., and Fishman,
M.C. (1997). Left-right pattern of cardiac BMP4
may drive asymmetry of the heart in zebrafish.
Development 124, 4373–4382.
Davey, J.R., Watt, K.I., Parker, B.L., Chaudhuri, R.,
Ryall, J.G., Cunningham, L., Qian, H., Sartorelli,
V., Sandri, M., Chamberlain, J., et al. (2016).
Integrated expression analysis of muscle
hypertrophy identifies Asb2 as a negative
regulator of muscle mass. JCI Insight 1, https://
doi.org/10.1172/jci.insight.85477.
de Wit, M.C.Y., de Coo, I.F.M., Lequin, M.H.,
Halley, D.J.J., Roos-Hesselink, J.W., and Mancini,
G.M.S. (2011). Combined cardiological and
neurological abnormalities due to filamin A gene
mutation. Clin. Res. Cardiol. 100, 45–50.
de Wit, M.C.Y., Kros, J.M., Halley, D.J.J., de Coo,
I.F.M., Verdijk, R., Jacobs, B.C., and Mancini,
G.M.S. (2009). Filamin A mutation, a common
cause for periventricular heterotopia, aneurysms
and cardiac defects. J. Neurol. Neurosurg.
Psychiatry 80, 426–428.
Domian, I.J., Chiravuri, M., van der Meer, P.,
Feinberg, A.W., Shi, X., Shao, Y., Wu, S.M., Parker,
K.K., and Chien, K.R. (2009). Generation of
functional ventricular heart muscle from mouse
ventricular progenitor cells. Science 326,
426–429.
16
iScience 23, 100959, March 27, 2020
Fan, Y., Xie, P., Zhang, T., Zhang, H., Gu, D., She,
M., and Li, H. (2008). Regulation of the stability
and transcriptional activity of NFATc4 by
ubiquitination. FEBS Lett. 582, 4008–4014.
Feng, Y., Chen, M.H., Moskowitz, I.P., Mendonza,
A.M., Vidali, L., Nakamura, F., Kwiatkowski, D.J.,
and Walsh, C.A. (2006). Filamin A (FLNA) is
required for cell-cell contact in vascular
development and cardiac morphogenesis. Proc.
Natl. Acad. Sci. U S A 103, 19836–19841.
Fujita, M., Mitsuhashi, H., Isogai, S., Nakata, T.,
Kawakami, A., Nonaka, I., Noguchi, S., Hayashi,
Y.K., Nishino, I., and Kudo, A. (2012). Filamin C
plays an essential role in the maintenance of the
structural integrity of cardiac and skeletal
muscles, revealed by the medaka mutant zacro.
Dev. Biol. 361, 79–89.
Fukuda, R., Gunawan, F., Beisaw, A., Jimenez-
Amilburu, V., Maischein, H.-M., Kostin, S.,
Kawakami, K., and Stainier, D.Y.R. (2017).
Proteolysis regulates cardiomyocyte maturation
and tissue integration. Nat. Commun. 8, 14495.
Geirsson, A., Singh, M., Ali, R., Abbas, H., Li, W.,
Sanchez, J.A., Hashim, S., and Tellides, G. (2012).
Modulation of transforming growth factor-b
signaling and extracellular matrix production in
myxomatous mitral valves by angiotensin II
receptor blockers. Circulation 126, S189–S197.
Glickman, M.H., and Ciechanover, A. (2002). The
ubiquitin-proteasome proteolytic pathway:
destruction for the sake of construction. Physiol.
Rev. 82, 373–428.
Guibal, F.C., Moog-Lutz, C., Smolewski, P., Di
Gioia, Y., Darzynkiewicz, Z., Lutz, P.G., and Cayre,
Y.E. (2002). ASB-2 inhibits growth and promotes
commitment in myeloid leukemia cells. J. Biol.
Chem. 277, 218–224.
Heuze´ , M.L., Lamsoul, I., Baldassarre, M., Lad, Y.,
Le´ veˆ que, S., Razinia, Z., Moog-Lutz, C.,
Calderwood, D.A., and Lutz, P.G. (2008). ASB2
targets filamins A and B to proteasomal
degradation. Blood 112, 5130–5140.
Hu, D., Linders, A., Yamak, A., Correia, C., Kijlstra,
J.D., Garakani, A., Xiao, L., Milan, D.J., van der
Meer, P., Serra, M., et al. (2018). Metabolic
maturation of human pluripotent stem cell-
derived cardiomyocytes by inhibition of HIF1a
and LDHA. Circ. Res. 123, 1066–1079.
Jung, T., Catalgol, B., and Grune, T. (2009). The
proteasomal system. Mol. Aspects Med. 30,
191–296.
Kedar, V., McDonough, H., Arya, R., Li, H.-H.,
Rockman, H.A., and Patterson, C. (2004). Muscle-
specific RING finger 1 is a bona fide ubiquitin
ligase that degrades cardiac troponin I. Proc.
Natl. Acad. Sci. U S A 101, 18135–18140.
(cid:1)
Capek, M., Radochova´ , B., Jana´ (cid:1)cek,
Kolesova´ , H.,
J., and Sedmera, D. (2016). Comparison of
different tissue clearing methods and 3D imaging
techniques for visualization of GFP-expressing
mouse embryos and embryonic hearts.
Histochem. Cell Biol. 146, 141–152.
Kyndt, F., Gueffet, J.-P., Probst, V., Jaafar, P.,
Legendre, A., Le Bouffant, F., Toquet, C., Roy, E.,
McGregor, L., Lynch, S.A., et al. (2007). Mutations
in the gene encoding filamin A as a cause for
familial cardiac valvular dystrophy. Circulation
115, 40–49.
Laine, A., and Ronai, Z. (2005). Ubiquitin chains in
the ladder of MAPK signaling. Sci. STKE 2005, re5.
Langdon, Y., Tandon, P., Paden, E., Duddy, J.,
Taylor, J.M., and Conlon, F.L. (2012). SHP-2 acts
via ROCK to regulate the cardiac actin
cytoskeleton. Development 139, 948–957.
Le Garrec, J.-F., Domı´nguez, J.N., Desgrange, A.,
Ivanovitch, K.D., Raphae¨ l, E., Bangham, J.A.,
Torres, M., Coen, E., Mohun, T.J., and Meilhac,
S.M. (2017). A predictive model of asymmetric
morphogenesis from 3D reconstructions of
mouse heart looping dynamics. Elife 6, https://
doi.org/10.7554/eLife.28951.
Li, J., Horak, K.M., Su, H., Sanbe, A., Robbins, J.,
and Wang, X. (2011). Enhancement of
proteasomal function protects against cardiac
proteinopathy and ischemia/reperfusion injury in
mice. J. Clin. Invest. 121, 3689–3700.
Linask, K.K., and Vanauker, M. (2007). A role for
the cytoskeleton in heart looping.
ScientificWorldJournal 7, 280–298.
Lombardi, R., Dong, J., Rodriguez, G., Bell, A.,
Leung, T.K., Schwartz, R.J., Willerson, J.T.,
Brugada, R., and Marian, A.J. (2009). Genetic fate
mapping identifies second heart field progenitor
cells as a source of adipocytes in arrhythmogenic
right ventricular cardiomyopathy. Circ. Res. 104,
1076–1084.
Ma¨ nner, J. (2009). The anatomy of cardiac
looping: a step towards the understanding of the
morphogenesis of several forms of congenital
cardiac malformations. Clin. Anat. 22, 21–35.
Martinsen, B.J., and Lohr, J.L. (2015). Cardiac
development. In Handbook of Cardiac Anatomy,
Physiology, and Devices, P.A. Laizzo, ed.
(Springer), pp. 23–33.
Mercola, M., Ruiz-Lozano, P., and Schneider,
M.D. (2011). Cardiac muscle regeneration:
lessons from development. Genes Dev. 25,
299–309.
Me´ tais, A., Lamsoul, I., Melet, A., Uttenweiler-
Joseph, S., Poincloux, R., Stefanovic, S., Valie` re,
A., Gonzalez de Peredo, A., Stella, A., Burlet-
Schiltz, O., et al. (2018). Asb2a-filamin A axis is
essential for actin cytoskeleton remodeling
during heart development. Circ. Res. 122,
e34–e48.
Mine, N., Anderson, R.M., and Klingensmith, J.
(2008). BMP antagonism is required in both the
node and lateral plate mesoderm for mammalian
left-right axis establishment. Development 135,
2425–2434.
Murdaca, J., Treins, C., Monthoue¨ l-Kartmann,
M.-N., Pontier-Bres, R., Kumar, S., Van
Obberghen, E., and Giorgetti-Peraldi, S. (2004).
Grb10 prevents Nedd4-mediated vascular
endothelial growth factor receptor-2
degradation. J. Biol. Chem. 279, 26754–26761.
Nemer, M. (2008). Genetic insights into normal
and abnormal heart development. Cardiovasc.
Pathol. 17, 48–54.
Norris, R.A., Moreno-Rodriguez, R., Wessels, A.,
Merot, J., Bruneval, P., Chester, A.H., Yacoub,
M.H., Hage` ge, A., Slaugenhaupt, S.A., Aikawa, E.,
et al. (2010). Expression of the familial cardiac
valvular dystrophy gene, filamin-A, during heart
morphogenesis. Dev. Dyn. 239, 2118–2127.
Obler, D., Juraszek, A.L., Smoot, L.B., and
Natowicz, M.R. (2008). Double outlet right
ventricle: aetiologies and associations. J. Med.
Genet. 45, 481–497.
Pagan, J., Seto, T., Pagano, M., and Cittadini, A.
(2013). Role of the ubiquitin proteasome system
in the heart. Circ. Res. 112, 1046–1058.
Powell, S.R., Davies, K.J.A., and Divald, A. (2007).
Optimal determination of heart tissue 26S-
proteasome activity requires maximal stimulating
ATP concentrations. J. Mol. Cell. Cardiol. 42,
265–269.
Ramsdell, A.F. (2005). Left-right asymmetry and
congenital cardiac defects: getting to the heart of
the matter in vertebrate left-right axis
determination. Dev. Biol. 288, 1–20.
single-cell resolution by tissue decolorization.
Cell 159, 911–924.
Ribeiro, I., Kawakami, Y., Bu¨ scher, D., Raya, A.,
Rodrı´guez-Leo´ n, J., Morita, M., Rodrı´guez
Esteban, C., and Izpisu´ a Belmonte, J.C. (2007).
Tbx2 and Tbx3 regulate the dynamics of cell
proliferation during heart remodeling. PLoS One
2, e398.
Sanford, L.P., Ormsby, I., Gittenberger-de Groot,
A.C., Sariola, H., Friedman, R., Boivin, G.P.,
Cardell, E.L., and Doetschman, T. (1997).
TGFbeta2 knockout mice have multiple
developmental defects that are non-overlapping
with other TGFbeta knockout phenotypes.
Development 124, 2659–2670.
Sasaki, A., Masuda, Y., Ohta, Y., Ikeda, K., and
Watanabe, K. (2001). Filamin associates with
Smads and regulates transforming growth factor-
beta signaling. J. Biol. Chem. 276, 17871–17877.
Shi, Y., and Massague´ , J. (2003). Mechanisms of
TGF-beta signaling from cell membrane to the
nucleus. Cell 113, 685–700.
Spaich, S., Will, R.D., Just, S., Spaich, S., Kuhn, C.,
Frank, D., Berger, I.M., Wiemann, S., Korn, B.,
Koegl, M., et al. (2012). F-box and leucine-rich
repeat protein 22 is a cardiac-enriched F-box
protein that regulates sarcomeric protein
turnover and is essential for maintenance of
contractile function in vivo. Circ. Res. 111,
1504–1516.
Spinner, C.A., Uttenweiler-Joseph, S., Metais, A.,
Stella, A., Burlet-Schiltz, O., Moog-Lutz, C.,
Lamsoul, I., and Lutz, P.G. (2015). Substrates of
the ASB2a E3 ubiquitin ligase in dendritic cells.
Sci. Rep. 5, 16269.
Srivastava, D. (2006). Making or breaking the
heart: from lineage determination to
morphogenesis. Cell 126, 1037–1048.
Tainaka, K., Kubota, S.I., Suyama, T.Q., Susaki,
E.A., Perrin, D., Ukai-Tadenuma, M., Ukai, H., and
Ueda, H.R. (2014). Whole-body imaging with
Tang, Y., Shu, G., Yuan, X., Jing, N., and Song, J.
(2011). FOXA2 functions as a suppressor of tumor
metastasis by inhibition of epithelial-to-
mesenchymal transition in human lung cancers.
Cell Res. 21, 316–326.
Tee, Y.H., Shemesh, T., Thiagarajan, V., Hariadi,
R.F., Anderson, K.L., Page, C., Volkmann, N.,
Hanein, D., Sivaramakrishnan, S., Kozlov, M.M.,
and Bershadsky, A.D. (2015). Cellular chirality
arising from the self-organization of the actin
cytoskeleton. Nat. Cell Biol. 17, 445–457.
Valde´ s-Mas, R., Gutie´ rrez-Ferna´ ndez, A., Go´ mez,
J., Coto, E., Astudillo, A., Puente, D.A., Reguero,
J.R., A´ lvarez, V., Morı´s, C., Leo´ n, D., et al. (2014).
Mutations in filamin C cause a new form of familial
hypertrophic cardiomyopathy. Nat. Commun. 5,
5326.
van der Flier, A., and Sonnenberg, A. (2001).
Structural and functional aspects of filamins.
Biochim. Biophys. Acta 1538, 99–117.
Vincentz, J.W., Barnes, R.M., and Firulli, A.B.
(2011). Hand factors as regulators of cardiac
morphogenesis and implications for congenital
heart defects. Birth Defects Res. A Clin. Mol.
Teratol. 91, 485–494.
Whitman, M., and Mercola, M. (2001). TGF-beta
superfamily signaling and left-right asymmetry.
Sci. STKE 2001, re1.
Yamak, A., and Nemer, M. (2015). Role of
embryonic and differentiated cells in cardiac
development. In Biomaterials for Cardiac
Regeneration, E.J. Suuronen and M. Ruel, eds.
(Springer), pp. 37–70.
Zhou, A.-X., Toylu, A., Nallapalli, R.K., Nilsson, G.,
Atabey, N., Heldin, C.-H., Bore´ n, J., Bergo, M.O.,
and Akyu¨ rek, L.M. (2011). Filamin a mediates
HGF/c-MET signaling in tumor cell migration. Int.
J. Cancer 128, 839–846.
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iScience, Volume 23
Supplemental Information
Loss of Asb2 Impairs Cardiomyocyte
Differentiation and Leads to Congenital
Double Outlet Right Ventricle
Abir Yamak, Dongjian Hu, Nikhil Mittal, Jan W. Buikema, Sheraz Ditta, Pierre G.
Lutz, Christel Moog-Lutz, Patrick T. Ellinor, and Ibrahim J. Domian
Supplementary Data
Transparent Methods
Animals. All animal experimentations were carried out in accordance with institutional guidelines for animal
care. Experiments were approved by the Massachusetts General Hospital’s Subcommittee on Research
Animal Care (SRAC), which serves as the Institutional Animal Care and Use Committee (IACUC) as
required by the Public Health Service (PHS) Policy on Humane Welfare Regulations. The program and
facilities have been fully accredited by the American Association for the Accreditation of Laboratory Animal
Care (AAALAC) since July 30, 1993. The institutional assurance number with the Office for Protection from
Research Risks at the N.I.H. is DI6-00361. All mice lines were kept on a C57BL/6 background.
Approximately, 20 AHF-Cre, 20 Nkx2-5+/Cre, 100 Asb2fl/fl and 100 Asb2fl/fl.Flnafl/fl mice were used. To isolate
embryos from pregnant females, cervical dislocation was used for euthanasia which is required for embryo
collection in mice. Sex of the embryos was not an influence in this study due to the very early developmental
stage. Embryos were analyzed at E8.5, E9.5, E10.5, and E11.5 as indicated in the results section where
applicable. For the double outlet right ventricle analysis, hearts of E16.5 embryos were used.
Generation of Asb2 and Flna knockout embryos. Asb2fl/fl or Asb2fl/fl.Flnafl/fl females were mated with
Nkx2-5+/Cre or AHF-Cre male mice and plugs were checked on a daily basis. The day a plug is seen is
considered embryonic day e0.5. Asb2fl/fl, Flnafl/fl, Nkx2-5+/Cre and AHF-Cre mice are previously described
(Lamsoul et al., 2013; Lombardi et al., 2009; Pinto et al., 2014). Mice genotypes (adult and embryos) were
determine by PCR genotyping. Genotyping oligos used are: Flna flox: 5’ TCT TCC TCT TTC AGC TGG
3’and 5’ ACA ACT GCT GCT CCA GAG 3’; Asb2 flox: 5’ CAGTGTCTGCTCTGAGGTCTCTC 3’ and 5’
CAATCTCTCCCTGGTAGAAACAGTTTGG 3’; Nkx2-5 Cre: 5’ GATTAGCTTAAGCGGAGCTGGGTGTCC
3’ and 5’ GCCGCATAACCAGTGAAACAGCATTGC 3’; AHF-Cre: 5’ CCAGGCAAAGGCAAGAATAA 3’ and
5’ ATGTTTAGCTGGCCCAAATG 3’.
Immunohistochemistry. Immunofluorescence was done as previously described (Domian et al., 2009).
Tissues were permeabilized with 0.3% Triton and antigen retrieval was done using citrate buffer. Tissues
were blocked with goat or donkey serum and primary antibodies were incubated overnight at 4oC.
Secondary antibodies linked to appropriate alexa fluor were incubated for 1 hour at room temperature.
Excess antibodies were washed with Phosphate buffer saline with 0.2% tween-20. Tissues were mounted
with prolong gold anti-fade mounting media. Antibodies used were: Asb2 (Abcam, ab13710); Filamin a
(Abcam, ab76289); Nkx2-5 (Invitrogen, PA5-49431); pSmad2(Millipore, AB3849); Troponin T (Thermo-
Scientific, MA5-12960; SMAD4 (Proteintech, 10231-1-AP). Masson Trichrome Staining was done on
paraffin heart sections using the American Mastertech Scientific kit (Item No. KTMTR) according to the
manufacturer’s protocol. Paraffin sections were deparaffinized with 3 rounds of xylene followed by
rehydration with serial dilutions of ethanol baths prior to staining. Outflow tract measurements were done
on 2D images using ImageJ. The landmarks used for measurement are as shown in supplementary figure
1D.
CUBIC clearing and Immunostaining. Embryos were immersed in CUBIC-1 solution (25% urea, 15%
TritonX-100, 25% N,N,N,N-tetrakis(2-hydroxypropyl)ethyl-enediamine) at 37oC with gentle shaking till
efficiently cleared (2-5 days depending on developmental stage). Following clearing, embryos were washed
thoroughly with PBS and stained with Troponin T and/or Filamin A antibodies for 4-5 days (at 4oC), washed
with PBS and then incubated with the corresponding secondary antibodies coupled to Alexa Fluor 488 or
546 for additional 3-4 days (at 4oC). DAPI was added to CUBIC-1 solution and the following PBS washes
to mark nuclei. Following staining, embryos were then cleared with CUBIC-2 solution (50% sucrose, 25%
urea and 10% 2,2’,2’-nitrilotriethanol) for 1-2 days at 37oC with gentle shaking and then immediately
transferred to immersion oil and imaged with laser confocal microscopy (Leica TCS SP8). 90-120 z-stacks
were taken for each embryo that were then used to generate the 3D reconstructions using either the Leica
software or image J. The 3D images were then further analyzed for phenotypic defects. At least 5 embryos
were analyzed for each condition. The clearing/staining technique was adapted from the established
protocol by Kolesova et al (Kolesová et al., 2016). Heart tube measurements were done on 3D images
using ImageJ. The landmarks used for measuring the tube’s length are as described in Le Garrec et al
paper (Le Garrec et al., 2017).
RNA Extraction and qPCR. RNA extraction was done using the Qiagen RNeasy Micro Kit (Cat No. 74004)
according to the manufacturer’s protocol. qPCR analysis was done using the Applied Biosystems PowerUp
SYBR Green Master mix (Cat No. A25742) according to manufacturer’s protocol. Oligos used were:
msAsb2a: 5’ GCTCTGTTTCACTCTGGCTCT 3’ and 5’ CTTCAGCACGGGGTCCATAG 3’; msAsb2b: 5’
AACCACCAGCCAGGACATTT 3’ and 5’ ACTTCTGCATGACCCCTTGG 3’; huASB2V1: 5’
ATTGGGCAGGAGGAGTACAG 3’ and 5’ AACTCTCAGGAGGTGCAGT 3’; huASB2V2: 5’
ATGACCCGCTTCTCCTATGC 3’ and 5’ CGAACTCTCAGGAGGTGCAG 3’. huTNNT2: 5’
ACTTGGAGGCAGAGAAGTTCG 3’ and 5’ CCCGGTGACTTTAGCCTTCC 3’; huNKX2-5: 5’
CGCACAGCTCTTTCTTTTCGG 3’ and 5’ CGCCTTCTATCCACGTGCC 3’; huMESP1: 5’
CTTTTTGGCCTCAGCACCTTC 3’ and 5’ AGTGTCTAGCCCTATGGGTCC 3’.
RNA Sequencing. RNA was extracted from e9.5 embryo hearts using the Qiagen RNeasy Micro Kit (Cat
No. 74004) and sent to the MGH Next Generation sequencing core. The libraries were sequenced using
illumina HiSeq platform. Splice-aware alignment program STAR was used to map the sample sequencing
reads to the Mus musculus mm10 reference genome. Gene expression counts were calculated using
HTSeq based on current Ensembl annotation for mm10. The R package “edgeR” was then employed to
make differential gene expression calls. Pathway analyses were done using “MetaCore-Clarivate” and
“Ingenuity Pathway Analysis-Qiagen” softwares.
Human Pluripotent Stem Cell Culture and Differentiation. HUES9 hESC line (NIH Human Embryonic
Stem Cell Registry Number 0022, generated by HSCI iPS Core at Harvard University) was used in
generating CRISPR KO cell line. hESC culture, differentiation and dissociation protocols were based on
previously published works (Hu et al., 2018). Briefly, hESCs were cultured in Essential 8 Medium (Thermo
Fisher Scientific, MA) in Matrigel (BD Biosciences) coated cell culture plates. hESCs were differentiated in
RPMI GlutaMAX (Thermo Fisher Scientific, MA) plus Gem21 NeuroPlex Serum-Free Supplement without
insulin (Gemini Bio Products, CA) for the first 5 days. Small molecules CHIR99021 (STEMCELL
Technologies, Vancouver, Canada) and IWP-4 (STEMCELL Technologies, Vancouver, Canada) were
added on day 1 and 3, respectively. Differentiation media was then switched to RPMI GlutaMAX plus
Gem21 NeuroPlex Serum-Free Supplement from day 7 to 10. Differentiating hESCs then underwent
glucose starvation for 6 days, which resulted in highly pure populations of beating CMs.
hESC-CMs were re-plated onto Matrigel coated PDMS plates for confocal imaging. Imaging procedure and
analysis were done based on previously published methods (Kijlstra et al., 2015). Briefly, Fluo-4, AM
(Thermo Fisher Scientific, MA) calcium indicator were incubated with hESC-CMs prior to imaging. Movies
of CMs at randomly selected regions were acquired in both DIC and GFP channels at 50 frames per second
for 10 seconds. Calcium transients were analyzed using ImageJ software.
In vitro differentiation of the SHF-dsRed/Nkx2.5-eGFP cells was done as previously described (Domian et
al., 2009).
Generation of ASB2-null hESCs. We used CRISPR/Cas9 genome editing technology to generate the
ASB2-null hESCs according to the described protocol (Ran et al., 2013). Guide RNAs (gRNAs) specific for
hASB2 variant 1 (equivalent to Asb2β in mouse) and those common for both variants 1 & 2 (mouse Asb2β
& α respectively) were designed using CRISPR design online tool, cloned into CRISPR/Cas9-GFP plasmid
backbone (pSpCas9 from Addgene) and sequenced. Plasmids with the efficient gRNAs were delivered by
electroporation to hESCs. Single cell CRISPR clone selection, expansion and sequencing protocols were
adapted from Peters et al (Peters et al., 2008). Following FACS selection, GFP+ hESCs were plated
sparsely onto Matrigel coated dishes for growing single cell clones. After 10 days, individual clones were
picked, plated into 96-well plates, and sequenced. Four clones harboring ASB2 gene locus modification
along with four wild type (Wt) clones were expanded and differentiated into CMs for further analysis. 6
guides were tested individually (sequences below). Guides 1 and 6 were successful in inducing the
knockouts.
1:
used were: Guide
5' CACCGGTTGGTACATGCAGACGCGG
5'
Guides
AAACCCGCGTCTGCATGTACCAACC 3’; Guide 2: 5’ CACCGGTCCGCTAGGCTCTGCTCGA and 5’
AAACTCGAGCAGAGCCTAGCGGACC 3’; Guide 3: 5' CACCGGGCCCCTTGTCTTGTCCGCT 3’ and 5’
AAACAGCGGACAAGACAAGGGGCCC 3’; Guide 4: 5' CACCGGCCCGGGCCGGCGAACTCTC 3’ and 5'
AAACGAGAGTTCGCCGGCCCGGGCC 3’; Guide 5: 5' CACCGCTCCTGAGAGTTCGCCGGCC 3’ and 5'
AAACGGCCGGCGAACTCTCAGGAGC 3’; Guide 6: 5' CACCGCTGCACGAGGCCGCATACTA 3’ and 5'
AAACTAGTATGCGGCCTCGTGCAGC 3’
and
3’
Western blot analysis. Total protein extracts were prepared using RIPA buffer. Proteins were run on 10%
TGX pre-cast gels from biorad and transferred to PVDF membranes using Trans-blot turbo transfer kit
(Biorad). Membranes were blocked with 5% non-fat milk or BSA (in case of pSmad2) and primary antibodies
were incubated overnight at 4oC. Secondary antibodies linked to HRP (horseradish peroxidase) were
incubated for 1 hour at room temperature and signal was revealed using super signal west femto or pico
ECL substrates (Thermo-scientific). Antibodies used were Smad2 (5339, Cell Signaling), pSmad2 (3108,
cell signaling) and Smad4 (ab40759, ABCAM). Western blots were then quantified using the Image Lab
software.
Statistical Analysis: Standard t-test was used for the QPCR analysis and the heart tube measurements.
One-way ANOVA was used for the western blot quantification as well as the percentages of Smad4 and
pSmad2 positive cells where. p<0.05 is considered statistically significant.
Data and Software availability: RNAseq data have been deposited in NCBI’s Gene Expression Omnibus
(GEO) and can be accessed through GEO Series accession number GSE145495.
B.
DAPI
Troponin T
Control
Nkx2-5+/Cre.Asb2fl/+ Nkx2-5+/Cre.Asb2fl/fl
25μm
+
/
fl
2
b
s
A
.
e
r
C
/
+
5
-
2
x
k
N
fl
/
fl
2
b
s
A
.
e
r
C
/
+
5
-
2
x
k
N
l
o
r
t
n
o
C
H
D
P
A
G
/
2
b
s
A
l
o
r
t
n
o
C
o
t
e
v
i
t
a
e
r
l
1
0.8
0.6
0.4
0.2
0
Asb2
GAPDH
E9.5
100μm
A.
C.
75
50
37
25
l
o
r
t
n
o
C
t
n
a
t
u
M
E9.5
100μm
D.
Control
AHF-Cre.Asb2fl/fl
DAPI
Troponin
OFT
OFT
Ε10.5
100μm
100μm
)
m
μ
(
h
t
g
n
e
l
T
F
O
600
400
200
0
*
Control AHF-Cre.Asb2fl/fl
Supplementary figure 1, related to figure 2. A. Western Blot analysis on hearts of e9.5 Nkx2-
5+/Cre.Asb2fl/+, Nkx2-5+/Cre.Asb2fl/fl, and their control littermates using Asb2 antibody and GAPDH for loading
control. Notice reduced Asb2 protein levels in the heterozygous mice (fl/+) and the complete loss of Asb2
in the knockout mice (fl/fl) (quantification analysis on the rights) (5-6 hearts were uses per condition). B &
C. CUBIC/Immunofluorescence of E9.5 mice embryos. B. High magnification showing the cardiac
myocardial region of an E9.5 mouse embryo cleared with CUBIC and immuno-stained for Troponin T
(green). Blue marls DAPI. Note the visible striations (yellow arrows). Scale bar is equivalent to 25µm. C.
Serial sections of Control (top) and Mutant (bottom) E9.5 cleared/stained mice embryos, showing the heart
region. Troponin T (green) was used to mark the myocardium. Note the bulging in the Control heart (right
arrow) which is missing in the Mutant. D. Immunohistochemistry on E10.5 AHF-Cre.Asb2 hearts (AHF-
Cre.Asb2fl/fl, right panel) and littermate control (left panel) using Troponin-T (gree)-specific antibody. Note
the shorter outflow tract (OFT) of the AHF-Cre.Asb2fl/fl heart. Scale bar is equivalent to 100µm. 4 Control
and 3 knockout hearts were analyzed. *: p<0.005 significant vs. control. Unpaired t-test was used for
analysis using Graphpad Prism.
Supplementary Figure 1, related for figure 2. A. Western Blot analysis on hearts of e9.5 Nkx+/Cre.Asb2fl/+,
Nkx+/Cre.Asb2fl/fl and their control littermates using Asb2 antibody and GAPDH for loading control. Notice
reduced Asb2 protein levels in the heterozygous mice (fl/+) and the complete loss of Asb2 in the knock out
mice (fl/fl) (quantification analysis on the right) (5-6 hearts were used per condition). B. & C.
CUBIC/Immunofluorescence in e9.5 mice embryos. B&C. CUBIC/Immunofluorescence in e9.5 mice
embryos. B. High magnification showing the cardiac myocardial region of an E9.5 mouse embryo cleared
with CUBIC and immuno-stained for TroponinT (green). Blue marks DAPI. Note the visible striations (yellow
arrows). Scale bar is equivalent to 25μm. C. Serial sections of Control (top) and Mutant (bottom) E9.5
cleared/stained mice embryos, showing the heart region. TroponinT (green) was used to mark the myocar-
dium. Note the bulging in the Control heart (right arrow) which is missing in the Mutant. D. Immunohistochem-
istry on E10.5 AHF-Cre.Abs2 hearts (AHF-Cre.Asb2fl/fl, right panel) and littermate control (left panel) using
Troponin-T (green)-specific antibody. Note the shorter outflow tract (OFT) of the AHF-Cre.Asb2fl/fl heart.
Scale bar is equivalent to 100μm. 4 Control and 3 knockout hearts were analyzed. *: p<0.005 significant vs
control. Unpaired t-test was used for analysis using Graphpad prism.
A.A.A.A.
B.
Control
Nkx2-5+/CreAsb2fl/fl.Flnafl/+ Nkx2-5+/CreAsb2fl/fl.Flnafl/y
Troponin
FlnA
DAPI
E9.5
0.2mm
0.2mm
0.2mm
E10.5
0.4mm
0.4mm
0.4mm
C.
D.
l
o
r
t
n
o
C
fl
/
fl
a
n
F
l
.
fl
/
fl
2
b
s
A
/
.
e
r
C
+
5
-
2
x
k
N
Ε9.5
Troponin
75μm
75μm
75μm
FlnA
DAPI
Ε9.5
75μm
75μm
75μm
+
/
fl
2
b
s
A
/
.
e
r
C
+
5
-
2
x
k
N
o
t
e
v
i
t
a
e
R
l
Asb2
*
*
1.5
1.0
0.5
0.0
Nkx2-5+/Cre.Asb2fl/+
Nkx2-5+/Cre.Asb2fl/fl
Nkx2-5+/Cre.Asb2fl/fl.Flnafl/fl
s
l
e
v
e
l
A
N
R
m
e
v
i
t
a
l
e
R
6.0
4.5
3.0
3.0
2.5
2.0
1.5
1.0
0.5
0.0
* # @
* #
*
* #
*
Shh
Hand2
Foxa2
Foxa3
*: significant vs Nkx2-5+/Cre.Asb2fl/+
Nkx2-5+/Cre.Asb2fl/+
Nkx2-5+/Cre.Asb2fl/fl
#: significant vs Nkx2-5+/Cre.Asb2fl/+.Flnafl/y
Nkx2-5+/Cre.Asb2fl/+.Flnafl/y @: significant vs Nkx2-5+/Cre.Asb2fl/fl.Flnafl/y
Nkx2-5+/Cre.Asb2fl/fl.Flnafl/y
Supplementary Figure 2, related to figure 3. A. Nkx2-5+/Cre.Asb2.Flna E9.5 and E10.5 embryos. Note
Supplementary Figure 2, related to figure 3. A. Nkx2-5+/Cre.Asb2.Flna E9.5 and E10.5 embryos. Note the
the smaller Nkx2-5+/Cre.Asb2fl/fl.Flnafl/+ and Nkx2-5+/Cre.Asb2fl/fl.Flnafl/y at E9.5 and E10.5. Nkx2-
smaller Nkx2-5+/CreAsb2fl/fl.Flnafl/+ and Nkx2-5+/CreAsb2fl/fl.Flnafl/y at E9.5 and E10.5. Nkx2-5+/CreAsb2fl/fl.Flnafl/+ and Nkx2-
5+/Cre.Asb2fl/fl.Flnafl/+ and Nkx2-5+/Cre.Asb2fl/fl.Flnafl/y often presented with pericardial edema at both stages.
5+/CreAsb2fl/+.Flnafl/y often presented with pericardial edema at both stages. 16 litters were analyzed at E9.5 and
16 litters were analyzed at E9.5 and 3 litters at E10.5. Scale bar is equivalent to 0.2mm at E9.5 and 0.4mm
3 litters at E10.5. Scale bar is equivalent to 0.2mm in E9.5 embryos and 0.4mm in E10.5 embryos as
at E10.5 embryos as indicated. B. Immunofluorescence on Nkx2-5+/Cre.Asb2fl/fl.Flnafl/y double knockouts and
indicated. B. Immunofluorescence on Nkx2-5+/Cre.Asb2fl/fl.Flnafl/fl double knockouts and controls using Flna
controls using Flna (red) and Troponin T (green) antibodies. Note absence of Flna expression in the
(red) and Troponin T (green) antibodies. Note absence of Flna expression in the myocardium of the double
myocardium of the double knockouts as opposed to its expression in the myocardium of the single
knockouts as opposed to its expression in the myocardium of the single knockouts in figure 3A. Scale bar is
knockouts in figure 3A. Scale bar is equivalent to 75µm. C. Asb2 transcipt levels from RNAseq data showing
equivalent to 75μm. C. Asb2 transcript levels from RNAseq data showing reduced Asb2 levels in the single
reduced Asb2 levels in the single and double knockouts compared to the Asb2 heterozygote control. *:
and double knockouts compared to the Asb2 heterozygote control. * p<0.05. One-way ANOVA was used for
p<0.05. One-way ANOVA was used for analysis using Graphpad Prism. D. QPCR analysis of hearts from
analysis using Graphpad prism. D. QPCR analysis of hearts from Nkx2-5+/Cre.Asb2fl/+, Nkx2-5+/Cre.Asb2fl/fl,
Nkx2-5+/Cre.Asb2fl/+, Nkx2-5+/Cre.Asb2fl/fl, Nkx2-5+/Cre.Asb2fl/+.Flnafl/y, Nkx2-5+/Cre.Asb2fl/fl.Flnafl/y E9.5 mice.
Nkx2-5+/Cre.Asb2fl/+.Flnafl/y, and Nkx2-5+/Cre.Asb2fl/fl.Flnafl/y E9.5 mice. n=5-6 for Nkx2-5+/Cre.Asb2fl/+; n=5 for
N=5-6 for Nkx2-5+/Cre.Asb2fl/+; n=5 for Nkx2-5+/Cre.Asb2fl/fl; n=5-6 for Nkx2-5+/Cre.Asb2fl/+.Flnafl/y; n=3 for Nkx2-
Nkx2-5+/Cre.Asb2fl/fl; n=5-6 for Nkx2-5+/Cre.Asb2fl/+.Flnafl/y; n=3 for Nkx2-5+/Cre.Asb2fl/fl.Flnafl/y (each sample was a
5+/Cre.Asb2fl/fl.Flnafl/y (each sample is a combination of 2-3 hears to account for littermate variability). The
combination of 2-3 hearts to account for littermate variability). The selected genes are among those identified
selected genes are among those identified in RNAseq analysis in fugures 2 and 3. P<0.05 is considered
in RNAseq analysis in figures 2 and 3. p<0.05 is considered statistically significant. T-test was used for anly-
statistically significant. T-test was used for analysis using Graphpad Prism.
sis using Graphpad Prism.
A.
1
e
d
u
G
i
Variant 1
1
2
3a
5’UTR
6
e
d
u
G
i
4
5
6
7
8
9
10
3’UTR
Variant 2 3b
4
5
6
7
8
9
10
B.
3.0
2.5
0
F
F
/
2.0
1.5
1.0
0
5’UTR
WT
KO
3’UTR
2
4
6
Time (s)
8
10
Supplementary Figure 3, related to figure 7. A. Schematic representation of the two Asb2 isoforms
Supplementary Figure 3, related to figure 7. A. Schematic representation of the two ASB2 isoforms
showing the location of the guides used for CRISPR/Cas9 genome editing. B. Representative calcium
showing the location of the guides used for CRISPR/Cas9 genome editing. B. Representative calcium
transients of hiPSC-CMs (WT: blue, KO: red).
transients of hiPSC-CMs (WT: blue, KO: red).
| null |
10.7554_elife.85878.pdf
|
Data availability
All data generated or analyzed in this study are included in the manuscript and supporting files.
Source data files have been provided for Figure 1b, Figure 1c, Figure 1f, Figure 1g, Figure 1- figure
supplement 2a- c, Figure 2b, Figure 2g, Figure 2- figure supplement 1a- f, Figure 3a, Figure 3c, Figure
3e, Figure 3h, Figure 3 supplement 1b- c, Figure 4a, Figure 4b, Figure 4e, Figure 4f, Figure 4h, Figure
4i, Figure 4- figure supplement 1a- b, Figure 4- figure supplement 2a, Figure 5b.
|
Data availability All data generated or analyzed in this study are included in the manuscript and supporting files. Source data files have been provided for Figure 1b , Figure 1c, Figure 1f, Figure 1g, Figure 1-figure supplement 2a-c, Figure 2b, Figure 2g, Figure 2-figure supplement 1a-f, Figure 3a, Figure 3c, Figure 3e, Figure 3h, Figure 3 supplement 1b-c, Figure 4a, Figure 4b, Figure 4e, Figure 4f, Figure 4h, Figure 4i, Figure 4-figure supplement 1a-b, Figure 4-figure supplement 2a, Figure 5b.
|
RESEARCH ARTICLE
Two RNA- binding proteins mediate the
sorting of miR223 from mitochondria
into exosomes
Liang Ma, Jasleen Singh, Randy Schekman*
Department of Molecular and Cell Biology, Howard Hughes Medical Institute,
University of California, Berkeley, United States
Abstract Fusion of multivesicular bodies (MVBs) with the plasma membrane results in the secre-
tion of intraluminal vesicles (ILVs), or exosomes. The sorting of one exosomal cargo RNA, miR223, is
facilitated by the RNA- binding protein, YBX1 (Shurtleff et al., 2016). We found that miR223 specif-
ically binds a ‘cold shock’ domain (CSD) of YBX1 through a 5’ proximal sequence motif UCAGU
that may represent a binding site or structural feature required for sorting. Prior to sorting into
exosomes, most of the cytoplasmic miR223 resides in mitochondria. An RNA- binding protein local-
ized to the mitochondrial matrix, YBAP1, appears to serve as a negative regulator of miR223 enrich-
ment into exosomes. miR223 levels decreased in the mitochondria and increased in exosomes after
loss of YBAP1. We observed YBX1 shuttle between mitochondria and endosomes in live cells. YBX1
also partitions into P body granules in the cytoplasm (Liu et al., 2021). We propose a model in which
miR223 and likely other miRNAs are stored in mitochondria and are then mobilized by YBX1 to cyto-
plasmic phase condensate granules for capture into invaginations in the endosome that give rise to
exosomes.
Editor's evaluation
This important study presents a novel mechanism of miRNA223 sorting into exosomes involving its
storage within mitochondria, specifically by a mitochondrially localized protein YBAP1. The evidence
supporting the findings is convincing and opens avenues for future studies on molecular mecha-
nisms. This paper is a valuable addition to the cellular sorting of miRNA involving interplay with and
between the organelles, interesting for miRNAs researchers, as well as cell biologists.
Introduction
Extracellular vesicles (EVs) bud from the plasma membrane or are secreted when multivesicular bodies
(MVB) fuse with the plasma membrane to release a population of vesicles called exosomes. EVs and
their cargos are highly dependent on their membrane source. Microvesicles released by budding from
the plasma membrane are a heterogeneous population of EVs ranging in size from 30 nm to 1000 nm
(Cocucci et al., 2009). Exosomes are 30 nm to 150 nm in size and originate as vesicles invaginated
into the interior of an MVB to form intraluminal vesicles (ILVs; Harding et al., 1983).
Many RNAs are selectively sorted into EVs, especially small RNAs. Several studies have indicated
that RNA binding proteins (RNPs) may be involved in the enrichment of RNAs into EVs (Mukherjee
et al., 2016; Santangelo et al., 2016; Teng et al., 2017; Villarroya- Beltri et al., 2013). However,
many of these studies used sedimentation at ~100,000 g to collect EVs, which may also collect
RNP particles not enclosed within membranes which complicates the interpretation of these data.
To address this question, we previously developed buoyant density- based methods to separate EVs
*For correspondence:
schekman@berkeley.edu
Competing interest: The authors
declare that no competing
interests exist.
Funding: See page 20
Received: 30 December 2022
Preprinted: 11 January 2023
Accepted: 24 July 2023
Published: 25 July 2023
Reviewing Editor: Agnieszka
Chacinska, IMol Polish Academy
of Sciences, Poland
Copyright Ma et al. This
article is distributed under the
terms of the Creative Commons
Attribution License, which
permits unrestricted use and
redistribution provided that the
original author and source are
credited.
Ma et al. eLife 2023;12:e85878. DOI: https://doi.org/10.7554/eLife.85878
1 of 23
Research article
from non- vesicular aggregates and found that EVs form two distinct populations of high and low
buoyant density (Shurtleff et al., 2016; Temoche- Diaz et al., 2020). We found that some miRNAs
are selectively enriched in a high buoyant density vesicle fraction characterized by an enrichment in
the exosomal marker protein CD63, whereas the low buoyant density EVs are fairly non- selective in
the capture of miRNAs (Temoche- Diaz et al., 2019). We developed a cell- free reaction to identify
YBX1 as required for miR223 sorting into exosomes and demonstrated that it plays an important
role in the enrichment of miR223 into exosomes in HEK293T cells (Shurtleff et al., 2016). We subse-
quently found that phase separated YBX1 condensates selectively recruit miR223 in vitro and sort it
into exosomes in cells (Liu et al., 2021). In this study, we report that YBX1 directly and specifically
binds miR223 by its ‘cold shock’ domain (CSD). We have identified a sequence motif, UCAGU, that
facilitates the sorting of miR223 into exosomes. We also found a significant fraction of cytoplasmic
miR223 localized within mitochondria, tightly associated with the mitochondrial envelope and that a
mitochondrial RNA- binding protein, YBAP1, may control the transfer of miR223 from mitochondria
to exosomes.
Results
YBX1 directly and specifically binds miR223
We previously documented that YBX1 facilitates miR223 sorting into exosomes (Shurtleff et al.,
2016) and that exosomal miR223 is decreased in YBX1 knockout cells (Liu et al., 2021). We reexam-
ined the enrichment and confirmed that exosomal miR223 was decreased in exosomes purified from
YBX1 KO cells (Figure 1a). We used a Nanosight particle tracking device to quantify buoyant density
purified vesicles and found that knockout of YBX1 did not affect exosome secretion (Figure 1—figure
supplement 1).
Whereas the importance of YBX1 for miR223 sorting has been established, the mechanism of
their interaction was not known. To examine the direct interaction of YBX1 and miR223, we used
an electrophoretic mobility shift assay (EMSA) with purified recombinant YBX1, expressed in insect
cells (Figure 1—figure supplement 2a), and chemically synthetic miR223 and miR190, a cytoplasmic
miRNA that is not enriched in exosomes. Purified YBX1 was titrated and incubated with 5’ fluorescently
labeled miR223 at 30 ℃ for 30 min. miR223- YBX1 complexes were separated by electrophoresis and
detected by in- gel fluorescence. The EMSA data showed that YBX1 directly and specifically bound to
miR223, but ~140 fold less well with miR190 (Figure 1b–c). The measured Kd for YBX1:miR223 was
4.2 nM (Figure 1d).
YBX1 has three major domains including an N- terminal alanine/proline- rich (A/P) domain, a central
cold shock domain (CSD) and a C- terminal domain (CTD) (Figure 1e). To explore which specific domain
of YBX1 binds miR223, we constructed a series of fragments: the A/P domain, CSD and CTD. The
YBX1 fragments were expressed in and purified from insect cells (Figure 1—figure supplement 2b).
EMSA data showed that the A/P domain and CTD had little or no affinity for miR223, whereas the CSD
domain bound miR223 but with an affinity much reduced compared to full length YBX1 (Figure 1f).
We then constructed two combined fragments of the A/P and CSD and CSD and CTD domains
(Figure 1—figure supplement 2c). The EMSA data showed that the A/P domain was dispensable,
whereas binding of miR223 to CSD plus CTD was comparable to full- length YBX1 (Figure 1g).
YBX1- F85A in the CSD domain was reported to block the YBX1- specific binding of mRNA (Lyons
et al., 2016). Purified YBX1- F85A protein failed to bind miR223 (Figure 1g, Figure 1—figure supple-
ment 2c). These data suggest that YBX1 directly and specifically binds miR223 via the CSD. The CTD
of YBX1 did not appear to bind miR223 but may somehow facilitate a higher affinity interaction of the
CSD with miR223.
A binding or structural motif on miR223 that promotes interaction with
YBX1 and enrichment into exosomes
We next sought to determine the miR223 sequence motif responsible for interaction with YBX1 and
enrichment into exosomes. We used an EMSA competition assay with a series of miR223 mutants.
Purified YBX1 and 5’ fluorescently labeled miR223 were incubated with miR223 mutant constructs
titrated in a range from 1 nM to 1 μM. miR223 variants in a binding domain should not compete for
interaction of YBX1 with 5’ fluorescently tagged miR223 whereas variations in sequences irrelevant to
Ma et al. eLife 2023;12:e85878. DOI: https://doi.org/10.7554/eLife.85878
2 of 23
Cell Biology
Research article
a.
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Kd of miR223 = 4.2nM
Kd of miR190 = 574.5nM
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YBX1 [ nM ]
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c.
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YBX1
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miR190
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miR190
b.
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Free
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YBX1
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1
e.
f.
Bound
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Free
miR223
g.
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Free
miR223
1
129
A/P
CSD
52
324
1
51
324
CSD
CTD
A/P
CSD
CTD
F85A
Figure 1. YBX1 directly and specifically binds miR223. (a) RT- qPCR analysis of fold change of miR- 223 and miR-
190 in cells and purified exosomes from 293 T WT cells and YBX1 knockout cells. Data are plotted from three
independent experiments, each independent experiment with triplicate qPCR reactions; error bars represent
standard deviations. (b–c) EMSA assays using 1 nM 5’ fluorescently labeled miR223 or miR190 and purified YBX1.
Figure 1 continued on next page
Ma et al. eLife 2023;12:e85878. DOI: https://doi.org/10.7554/eLife.85878
3 of 23
Cell Biology
Research article
Figure 1 continued
Purified YBX1 was titrated from 500pM to 1 μM. In gel fluorescence was detected. Quantification of (d) shows the
calculated Kd. (e) Schematic diagrams of the different domains of YBX1. (f) EMSA assay using 1 nM 5’ fluorescently
labeled miR223 and purified YBX1 truncations. [YBX1(1–51) or YBX1(52–129) or YBX1(130–324).] (g) EMSA assay
using 1 nM 5’ fluorescently labeled miR223 and purified YBX1 truncations [YBX1(1–129) or YBX1(52–324)] or
YBX1(F85A) mutant.
The online version of this article includes the following source data and figure supplement(s) for figure 1:
Source data 1. Uncropped gel images corresponding to Figure 1.
Figure supplement 1. Knockout of YBX1 did not change exosome secretion.
Figure supplement 2. Purified YBX1 full length protein and different truncations and mutation.
Figure supplement 2—source data 1. Uncropped gel images corresponding to Figure 1—figure supplement 2.
interaction would compete. Using this EMSA competition assay to screen the miR223 binding motif,
we found that the competitive binding of miR223mut (3- 6) and miR223mut (4- 7) were decreased
(Figure 2—figure supplement 1). This suggested that the sequence UCAGU was critical for inter-
action with YBX1. To test this directly, we employed a variant sequence, termed miR223mut, where
the UCAGU was substituted with AGACA. As a positive control, we employed a variant of miR190,
miR190sort, where the sequence AUAUG was substituted with UCAGU (Figure 2a). EMSA data
showed a~27- fold reduced YBX1 interaction of with miR223mut, whereas the affinity of miR190sort
with YBX1 was increased ~eightfold compared to wt sequences.
To test whether this motif is critical for miR223 enrichment into exosomes, we purified exosomes
from 293T cells transiently transfected to overexpress one of the four miRNA constructs (Figure 2d).
RT- qPCR data showed that the level of miR223 in exosomes was ~fourfold dependent on the puta-
tive exosomal sorting motif (Figure 3e) and the enrichment of miR190sort into exosomes was
increased ~fivefold compared to miR190 WT (Figure 2f).
In previous work, we developed a cell- free reaction to test the biochemical requirement for YBX1 in
the sorting of miR223 into vesicles formed with membranes and cytosol isolated from broken HEK293
cells (Shurtleff et al., 2016). In this work, we showed that the sorting of miR223 and of a CD63-
luciferase fusion protein into an enclosed membrane were coincidentally inhibited by GW4869 an
inhibitor of neutral sphingomyelinase (NS2) known to interfere with exosome biogenesis and secre-
tion. On this basis, we concluded that the cell- free reaction recapitulated the sorting event leading to
the packaging of miR223 into exosomes.
We refined this assay to measure the incorporation of 32P- 5’ end- labeled wt and mutant miR223
into vesicles formed in vitro. Isolated membranes and cytosol were incubated with 32P- labled wt or
mutant miR223 at 30 °C for 20 min, after which RNase I was added to digest any unpackaged miRNA.
Controls including 1% Triton X- 100 were used to measure background RNase resistant radiolabel.
Samples were resolved on a gel for visual and quantitative evaluation of membrane sequestered RNA
(Figure 2g and h). The results suggested that the UCAGU motif is critical for miR223 packaging into
vesicles in the cell- free reaction.
Taken together the results in Figure 2 show that the miR223 sequence UCAGA promotes the
binding of YBX1 in order to sort the miRNA into vesicles formed in cells and in a cell- free reaction. We
suggest this sorting facilitates the export of miR223 in exosomes secreted from HEK293 cells.
Mitochondria contribute to miR223 enrichment into exosomes
In a recent study, we showed that YBX1 is sorted into P- bodies in cells and that these biomolecular
condensates may initiate the sorting of miR223 into vesicles budding into the interior of endosomes
(Liu et al., 2021; Shurtleff et al., 2016). Mitochondria represent another apparent intracellular loca-
tion of miR223 (Wang et al., 2020). We used cell fractionation of homogenates of HEK293 cells to
evaluate the subcellular distribution of endogenous miR223. Fractionation was evaluated by immu-
noblot using marker proteins characteristic of various cell organelles (Figure 3a). Analysis of RNA
extracted from isolated membranous organelles confirmed that miR223 but not miR190 was signifi-
cantly enriched in mitochondria but not in ER or cytosol (Figure 3b, Figure 3—figure supplement
1a; Wang et al., 2020).
Ma et al. eLife 2023;12:e85878. DOI: https://doi.org/10.7554/eLife.85878
4 of 23
Cell Biology
Research article
a.
miR223-3p UGUCAGUUUGUCAAAUACCCCA
miR223mut UGAGACAUUGUCAAAUACCCCA
miR190-5p UGAUAUGUUUGAUAUAUUAGGU
miR190sort UGUCAGUUUUGAUAUAUUAGGU
c.
100
)
%
(
d
n
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M
μ
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YBX1
M
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YBX1
0
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M
μ
1
1
M
μ
0
10
100
YBX1 [nM]
YBX1
miR223
miR190sort
miR190a
miR223mut
[miRNA] = 1nM
Kd of miR223mut = 112.4nM
Kd of miR190sort = 77.5nM
1000 10000
M
μ
1
M
μ
0
YBX1
M
μ
1
d.
miR223
Transfect plasmid which
express miRNAs or mutants
miR223mut
miR190
miR190sort
medium 1,500 g
Supernatant100,000 g
10%
40%
150,000 g
Exosomes
10,000 g
120,000 g
60%
Sucrose cushion
EV
60%
e.
f.
p=0.0013
1.00
0.27
1.2
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0.8
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g.
Temp (℃)
RNase I
Membranes
Cytosol
Triton(1%)
miR223
3030 30 30 4
4
_
+ +
+
+
+
_
+ + + +
+
+ _ + + + +
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_ _ _ + _
miR223mut
30
+ +
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_ _ _
3030 304
+
+
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+ + +
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miR223
miR223mut
degree)
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C+M
C+M(4
Figure 2. miR223 sequence motif UCAGU binds YBX1. (a) RNA oligonucleotides corresponding to miR223, miR190 and versions with mutated
sorting motif (miR223mut) or mutation to introduce the sorting motif (miR190sort). (b) EMSA assays using 1 nM 5’ fluorescently labeled miR223 WT
or miR223mut or miR190 WT or miR190sort and purified YBX1. Purified YBX1 was titrated from 500pM to 1 µM. In gel fluorescence was detected.
(c) Binding affinity curves as calculated by EMSA data from (b) (d) Schematic shows exosome purification with buoyant density flotation in a sucrose
Figure 2 continued on next page
Ma et al. eLife 2023;12:e85878. DOI: https://doi.org/10.7554/eLife.85878
5 of 23
Cell Biology
Research article
Figure 2 continued
step gradient from 293T cells overexpressing miR223 WT or mutant or miR190 WT or miR190sort. (e) RT- qPCR analysis of relative abundance of miR223
or miR223mut detected in exosomes compared to cellular level in 293T cells overexpressing miR223 WT or miR223mut. Data are plotted from three
independent experiments and error bars represent standard deviations. (f) RT- qPCR analysis of relative abundance of miR190 or miR190sort detected in
exosomes compared to cellular level in 293T cells overexpressing miR190 WT or miR190sort. Data are plotted from three independent experiments and
error bars represent standard derivations. (g) In vitro packaging assay using 32P 5’end- labeled miR223 and miR223mut. Cell- free packaging of miR223
and miR223mut measured as protected radioactive signal from 32P labeled miR223 and miR223mut. Reactions with or without membrane, cytosol,
and 1% Triton X- 100, and incubated at 4 or 30 °C are indicated. For the samples containing only cytosol plus membrane at 4 °C, only one- third of the
samples were loaded. Each sample was supplemented with 300 mM urea to reduce the background signal. (h) Data quantification showed protected
fraction of miR223 and miR223mut as calculated from in vitro packaging data shown in (g).
The online version of this article includes the following source data and figure supplement(s) for figure 2:
Source data 1. Uncropped gel images corresponding to Figure 2.
Figure supplement 1. Screening of exosomal sorting motif of miR223.
Figure supplement 1—source data 1. Uncropped gel images corresponding to Figure 2—figure supplement 1.
To determine the localization of miR223 on or within mitochondria, we prepared mitoplasts using
digitonin to strip away the mitochondrial outer membrane followed by fractionation on a Percoll
density gradient. Immunoblots of the enriched mitochondria and isolated mitoplasts showed that
the outer membrane, marked by Tom20, was largely removed with retention of the inner membrane
marker Tim23 (Figure 3c). RNA was extracted from the purified mitoplast and RT- qPCR data indicated
that miR223 was enriched along with mRNA for COX1, but not with nuclear U6 snRNA (Figure 3d).
As an independent means to assess the localization of cytoplasmic miR223, we used immunopre-
cipitation to purify mitochondria. Isolated mitochondria were then converted to mitoplasts by osmotic
shock and treated with proteinase K and RNase. Immunoblots of the immunoprecipitated mitochon-
dria and isolated mitoplasts showed that the outer membrane, marked by Tom20, and intermembrane
space, marked by AIF, were largely removed with retention of the mitochondrial matrix marker citrate
synthase (Figure 3e). RNA was extracted from the immunoprecipitated mitochondria and mitoplasts
and RT- qPCR data indicated that miR223 was enriched along with mRNA for COX1, but not with
miR190 or nuclear U6 snRNA (Figure 3f).
We also used immunoprecipitated mitochondria (Figure 3—figure supplement 1b) and either
Triton X- 100 to solubilize the membrane or freeze- thaw to allow the matrix and envelope fractions
to be separated by centrifugation. Mitochondrial membrane proteins, such as Tom20 and COX IV,
were solubilized and retained in the supernatant fraction (Figure 3—figure supplement 1c). The
freeze- thaw regimen released citrate synthase to a supernatant fraction whereas Tom20 and COX
IV sedimented in the pellet fraction. RNA was extracted from the detergent supernatant and pellet
fractions where we found similar distributions of COX1 and miR223, neither of which were as readily
solubilized as the inner and outer membrane proteins (Figure 3—figure supplement 1d). RT- qPCR
quantification of fractions from the freeze- thaw regimen showed that both COX1 mRNA and miR223
remained largely associated with the sedimentable membrane fraction (Figure 3—figure supplement
1e). We conclude that miR223 is enclosed within mitochondria, possibly in association with the inner
membrane.
We sought a test of the role of mitochondria in the secretion of miR223 in exosomes. For this
purpose, we generated cells depleted of mitochondria (Correia- Melo et al., 2017). U- 2 OS cells
expressing GFP- parkin were treated with CCCP for 48 hr, conditions that cause mitochondria to be
removed by mitophagy. We confirmed mitochondrial depletion after CCCP treatment by RT- qPCR
of mitochondrial COX1 mRNA (Figure 3g) and immunoblot of the mitochondrial inner membrane
marker Tim23 (Figure 3h). We then compared the levels of both miR223 and miR190 from GFP- parkin
expressing U- 2 OS cells with and without CCCP treatment. RT- qPCR data showed that miR223, but
not miR190, increased threefold in cells treated with CCCP (Figure 3j). To test the possibility that
miR223 accumulated in cells as a result of a failure of mobilization into exosomes, we compared the
miR223 levels in exosomes purified from untreated and CCCP treated cells (Figure 3j). Although
exosome secretion, as measured with a CD63- luciferase marker, did not change after CCCP treatment
(Figure 3—figure supplement 2a), we found that CCCP treatment lowered the amount of miR223
in EVs fourfold (Figure 3j). The increase in cellular at the expense of exosomal miR223 may reflect a
critical role for mitochondria in the mobilization of this RNA to exosomes.
Ma et al. eLife 2023;12:e85878. DOI: https://doi.org/10.7554/eLife.85878
6 of 23
Cell Biology
c.
d.
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IP-MT
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IP-MT
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+ CCCP
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Medium
+ Uridine
CCCP removed
exosome
Cell
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Research article
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Figure 3. Mitochondria contribute to miR223 enrichment into exosomes. (a) Immunoblot analysis of protein markers for different subcellular fractions
isolated from 293T cells. (b) RT- qPCR analysis of miR223 fold changes of different subcellular fractions isolated from 293T cells relative to cell lysate.
(c) Immunoblot analysis of protein markers for mitoplasts purified from 293T cells by Percoll gradient fractionation (MT: mitochondria; MP: mitoplast).
(d) RT- analysis of COX1 mRNA, miR223 and U6 snRNA fold changes for mitoplasts purified from 293T cells relative to cell lysate. (e) Immunoblot analysis
Figure 3 continued on next page
Ma et al. eLife 2023;12:e85878. DOI: https://doi.org/10.7554/eLife.85878
7 of 23
Cell Biology
Research article
Figure 3 continued
of protein markers for immunoprecipitated mitochondria and osmotic shock generated mitoplasts. Mitochondria were purified from a 293T 3xHA-
EGFP- OMP25 overexpressing cell line using anti- HA magnetic beads. Mitoplasts were purified following mitochondrial immunoprecipitation by osmotic
shock, proteinase K and RNase treatment (IP- MT: immunoprecipitated mitochondria; IP- MP: immunoprecipitated mitoplasts). (f) RT- analysis of COX1
mRNA, miR223, miR190 and U6 snRNA fold changes for immunoprecipitaed mitochondria and mitoplasts purified from the 293T 3xHA- EGFP- OMP25
overexpressing cell line. Data are plotted from three independent experiments and error bars represent standard deviations. (g) RT- qPCR analysis of
mitochondrial mRNA COX1 in U2OS cells expressing GFP- Parkin treated with or without CCCP. Data are plotted from three independent experiments
and error bars represent standard deviations. (h) Immunoblot analysis of mitochondrial marker Tim23 in U2OS cells expressing GFP- Parkin treated with
or without CCCP. (i) Schematic of exosome purification from mitochondria depleted GFP- Parkin expressing U2OS cells. (j) RT- qPCR analysis of fold
change of miR- 223 and miR- 190 in cells and purified exosomes from U2OS cells expressing GFP- Parkin which were treated with or without CCCP. Data
are plotted from three independent experiments and error bars represent standard deviations.
The online version of this article includes the following source data and figure supplement(s) for figure 3:
Source data 1. Uncropped immunoblot images corresponding to Figure 3.
Figure supplement 1. miR223, but not miR190, enriched in mitochondria.
Figure supplement 1—source data 1. Uncropped immunoblot images corresponding to Figure 3—figure supplement 1.
Figure supplement 2. Mitochondrial depletion did not change exosome secretion.
YBAP1 binds miR223 in the mitochondria and in vitro
In the course of purifying a tagged version of YBX1 from 293T cells, we observed another protein that
copurified and found that it corresponded to YBAP1 (Figure 4a and b). Such a complex of YBX1 and
YBAP1 has previously been reported (Matsumoto et al., 2005). We confirmed that purified YBX1 and
YBAP1 bind each other by coexpression and affinity purification from insect cells (Figure 4—figure
supplement 1b). YBAP1 is a mitochondrial matrix protein with a standard N- terminal transit peptide
sequence (Muta et al., 1997). We confirmed this mitochondrial localization in U- 2 OS cells expressing
Tom22- mCherry transiently transfected with a YBAP1- GFP construct (Figure 4c–d). We also showed
that YBAP1 is localized within mitochondria by performing a proteinase K protection assay on purified
mitochondria. Mitochondria were isolated from non- transfected cells and exposed to proteinase K in
the presence or absence of Triton X- 100 and the degradation of YBAP1 was evaluated by immuno-
blot. YBAP1 was resistant to proteinase K digestion as was the mitochondrial inner membrane marker
Tim23. Both were degraded by proteinase treatment in the presence of Triton X- 100 (Figure 4e),
consistent with the localization of YBAP1 within mitochondria.
To test whether YBAP1 was bound to miR223 in mitochondria, we used YBAP1 immunoprecipita-
tion with mitochondria purified by fractionation on a Percoll density gradient (Figure 4f). RT qPCR
data showed that mitochondrial miR223 was immunoprecipitated by YBAP1 antibody but not by a
control antibody (Figure 4g). To determine whether the YBAP1 and miR223 interaction was direct,
we used the EMSA assay and found that purified YBAP1 bound miR223, but not miR190. The YBAP1
interaction with miR223 was not dependent on the RNA sequence motif responsible for YBX1 binding
(Figure 4—figure supplement 2a–b). Taken together, these data suggest that YBAP1 binds miR223
in mitochondria and in vitro.
YBAP1 may control the transit of miR223 from mitochondria to
exosomes
To investigate the function of YBAP1 in the transit of miR223 into exosomes, we generated a 293T
YBAP1 KO cell line and compared the level of miR223 enrichment in exosomes and mitochondria
isolated from WT and mutant cells (Figure 5a and b). Although knockout of YBAP1 did not change
exosome secretion (Figure 5—figure supplement 1a), RT- qPCR analysis showed that miR223
decreased twofold in mitochondria but increased eightfold in exosomes purified from mutant and WT
cells, respectively (Figure 5c). This apparent inverse relationship is consistent with a role for YBAP1
protein in the retention of miR223 in mitochondria.
YBX1 puncta shuttled from mitochondria to endosomes
In previous work we reported the localization of YBX1 to P- bodies and suggested this may repre-
sent an intermediate stage in the concentrative sorting of miRNAs for secretion in exosomes (Liu
et al., 2021). In other earlier work, P- bodies were seen in association with mitochondria (Huang et al.,
Ma et al. eLife 2023;12:e85878. DOI: https://doi.org/10.7554/eLife.85878
8 of 23
Cell Biology
Research article
a.
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miR190a-5p
0
0.1
1
10
100
YBAP1 [nM]
1000
10000
[miRNA] = 1nM
Kd of miR223 = 173.2nM
Figure 4. YBAP1 directly and specifically binds miR223. (a) Strep II- YBX1 was overexpressed in HEK293T cells. Coomassie blue detection of unknown
band copurified with YBX1 from 293T cells. (b) Immunoblot identified unknown band was YBAP1. (c) Tom22- mCherry expressing U2OS was transfected
with a YBAP1- GFP- expressing plasmid, cultured for 12 hr and observed by confocal microscopy. Scale bar, 10 μm. (d) Quantification of the fluorescence
intensity of the different channels indicated by the solid white line of (c). (e) YBAP1 resides in mitochondria. Proteinase K protection assay for YBAP1
Figure 4 continued on next page
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Figure 4 continued
using purified mitochondria from 293T cells. Samples were treated with or without proteinase K (10 μg/ml) and or Triton X- 100 (0.5%). Immunoblots for
Tim23, Tom20, and YBAP1 are shown. (f) Mitochondria were purified for immunoprecipitation with YBAP1 antibody. Immunoblot detection of YBAP1
and Tom20. (g) RT- qPCR analysis of miR223 fold changes of YBAP1 IP samples. Data are plotted from three independent experiments and error bars
represent standard deviations. (h–i) EMSA assays using 1 nM 5’ fluorescently labeled miR223 or miR190. Purified YBAP1 was titrated from 500pM to
1 μM. In gel fluorescence was detected. Quantification of (j) shown the calculated Kd.
The online version of this article includes the following source data and figure supplement(s) for figure 4:
Source data 1. Uncropped immunoblot and gel images corresponding to Figure 4.
Figure supplement 1. YBX1 and YBAP1 copurify as a complex from transfected SF9 cells.
Figure supplement 1—source data 1. Uncropped gel images corresponding to Figure 4—figure supplement 1.
Figure supplement 2. YBAP1 does not share the same miR223- binding motif as YBX1.
Figure supplement 2—source data 1. Uncropped gel images corresponding to Figure 4—figure supplement 2.
2011). To explore this possibility, we visualized endogenous YBX1 and YBAP1 by IF and observed
YBX1 puncta colocalized with mitochondria (Figure 6a and b). In order to detect the proximity of
endosomes to this point of contact between YBX1 puncta and mitochondria, we used U- 2 OS cells
transfected with Rab5(Q79L)- mCherry, which we employed previously to enlarge and detect the inter-
nalization of YBX1 into endosomes (Liu et al., 2021). We then used three color visualization of the U- 2
OS cells also transfected with YFP- YBX1 and mito- BFP. Time- lapse imaging showed YBX1 puncta in
close proximity to mitochondria or endosomes, followed quickly by transfer between them (Figure 6c
and d). Taken together, these data suggest a mechanism whereby miR223 stored in mitochondria,
possibly sequestered by YBAP1, may be captured in a tighter interaction with YBX1 in P- bodies and
delivered to endosomes for sorting and secretion in exosomes.
Discussion
Selected miRNAs are sorted, some with very high fidelity, into invaginations in the endosome that give
rise to exosomes secreted from cultured human cells and likely from many if not all cells in metazoan
organisms. The means by which these miRNAs are sorted and the possible extracellular functions they
serve is a subject of interest in normal and disease physiology. Here we report the role of the RNA-
binding protein YBX1 and a sorting or structural signal on one target RNA, miR223, and the indirect
path miR223 may take from storage in mitochondria into exosomes.
We have identified a sequence motif on miR223, UCAGU, responsible for high- affinity interaction
with YBX and for sorting into vesicles formed in a cell- free reaction as well as for secretion in exosomes
by HEK293 cells. Previously we performed this in vitro packaging assay in the presence of an inhibitor
(GW4869) of neutral sphingomyelinase (NS2). This inhibitor has been shown to reduce the secretion
of exosomes and exosome- associated miRNAs in other studies (Li et al., 2013; Trajkovic et al., 2008;
Yuyama et al., 2012). In our cell- free assay, GW4869 inhibited the protection of CD63- luciferase
and miR- 223 at concentrations known to inhibit the activity of NS2 in partially purified enzyme frac-
tions (Shurtleff et al., 2016). We concluded that our cell- free reaction provides a model that mimics
aspects of exosome biogenesis.
The YBX1 protein has three distinct domains, one of which, the cold- shock domain (CSD) appears
to be the principal site for RNA binding, including at least one critical residue, F85, required for
binding miR223 as well as other RNAs (Lyons et al., 2016). The C- terminal domain (CTD) includes an
intrinsically disordered domain (IDR) that promotes the formation of a liquid- liquid phase separation
likely responsible for the organization of YBX1 in P- bodies (Liu et al., 2021). This domain does not
itself interact with RNA, but it appears to facilitate the folding or stabilization of the CSD to promote
high affinity binding to miR223.
In other work using a similar approach, we identified two separate sorting signals, a 5’UGGA and
a 3’UUU, on miR122 to which the RNA- binding protein La binds en route to secretion in exosomes by
the breast cancer cell line MDA- MB- 231 (Temoche- Diaz et al., 2019). Other distinct sorting signals
and their cognate RNA- binding proteins have been documented in different cell lines. miRNAs with
a GGAG sorting motif recognized by a sumolyated form of hnRNPA2B1 was shown to be enriched in
exosomes (Villarroya- Beltri et al., 2013). Another sequence, AAUGC, was found to be enriched in
Ma et al. eLife 2023;12:e85878. DOI: https://doi.org/10.7554/eLife.85878
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a.
Mitochondria
Cell
medium
RNA Extraction and
RT-qPCR
WT or YBAP1-KO
Exosome
b.
c.
e
g
n
a
h
c
d
o
F
l
/
)
T
W
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1
P
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B
Y
(
16
8
4
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0.25
⍺-YBAP1
⍺-Citrate Synthase
⍺-COX IV
⍺-Tim23
⍺-AIF
⍺-Tom20
⍺-YBX1
⍺-Tubulin
Cell
Exosome
mitochondria
miR223
miR190
Figure 5. YBAP1 sequesters miR223 which is released and secreted in YBAP1 KO cells. (a) Schematic shows exosome and mitochondria purification
from 293 T WT cells and YBAP1 knock out cells for RT- qPCR analysis. (b) Analysis of 293 T WT and CRISPR/Cas9 genome- edited cells by immunoblot
for YBAP1, YBX1 and mitochondrial markers (c) RT- qPCR analysis of miR223 enrichment in mitochondria purified from 293 T WT cells and YBAP1 KO
cells relative to cell lysate. Data are plotted from three independent experiments and error bars represent standard deviations. (d) RT- qPCR analysis of
miR223 and miR190 fold change in cells, purified mitochondria and exosomes from 293 T WT cells and YBAP1 KO cells. Data are plotted from three
independent experiments and error bars represent standard deviations.
The online version of this article includes the following source data and figure supplement(s) for figure 5:
Source data 1. Uncropped immunoblot images corresponding to Figure 5.
Figure supplement 1. Knockout of YBAP1 did not change exosome secretion.
exosomal miRNA and dependent on the RNA- binding protein FMR1 for miRNA secretion (Wozniak
et al., 2020). Diverse cell lines and likely tissues appear to invoke distinct sorting signals decoded by
different RNA- binding proteins. Many of the proteins may engage in biomolecular condensates such
as P- bodies as a mechanism to sort RNAs for secretion (Liu et al., 2021).
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a.
b.
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YBX1
YBAP1
5μm
c.
YFP-YBX1 Rab5(Q79L)-mC mito-BFP
0s
3m48s
6m39s
2μm
9m30s
10m27s
28m28s
Figure 6. YBX1 puncta relocalize from mitochondria to endosomes. (a) YBX1 puncta on the mitochondria. U2OS cells were stained with anti- YBX1 and
anti- YBAP1 antibodies and observed by confocal microscopy. The right panel shows enlarged regions of interest from the left panel. Scale bar, 5 μm.
(b) The statistics are of the percentage of YBX1 puncta detected in proximity to mitochondria. N=30 cells. (c) YBX1 puncta relocalize from mitochondria
to endosomes. U2OS cells overexpressed YFP- YBX1, Rab5(Q79L)- mCherry and mito- BFP. Time- lapse images were acquired with a Zeiss LSM900
confocal microscope. Scale bar, 2 μm. (d) The statistics are of YBX1 puncta shuttle events per cell. The data was represented as violin plots. N=34 cells.
Ma et al. eLife 2023;12:e85878. DOI: https://doi.org/10.7554/eLife.85878
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miR223 appears to be an example of a number of small nuclear- encoded RNAs localized to mito-
chondria (Jeandard et al., 2019). In some cases these RNAs, such as tRNAs, serve an essential func-
tion such as in mitochondrial protein synthesis, however, for miRNAs with no obvious mitochondrial
genome target, the function remains unclear (Jeandard et al., 2019). Nonetheless, others have
documented the localization of these miRNAs enclosed within the mitochondrion and in the case
of miR223, it appears to be tightly associated with the inner membrane. The exact organization and
function of miR223 in this location remains to be investigated but in the context of exosomal secre-
tion, the mitochondrial localization appears to serve as a reservoir.
In relation to the mitochondrial localization of miR223, we found a mitochondrial RNA- binding
protein, YBAP1, that copurified with a tagged form of YBX1 expressed in HEK293 cells. YBAP1 has
previously been reported to interact with YBX1 and independently found associated with mitochon-
dria where its localization is dependent on an N- terminal transit peptide sequence (Muta et al.,
1997). The association of mitochondrial YBAP1 and cytoplasmic YBX1 was reproduced by coexpres-
sion of recombinant forms of the two proteins in baculovirus- infected SF9 cells (Figure 4—figure
supplement 1b). YBAP1 binds miR223 selectively but with an affinity significantly below that of YBX1
(Figure 4h–j). Although YBX1 does not localize to the mitochondrion, the stable interaction of the
complex may suggest a transient relationship, perhaps during the biogenesis of YBAP1 as it transits
from the cytoplasm into the mitochondrion.
A functional relationship between YBAP1 and YBX1 is suggested by the reduction in miR223 in mito-
chondria and increase in secretion of miR223 in exosomes secreted from YBAP1 KO cells (Figure 5).
In contrast, removal of mitochondria by treatment of cells with CCCP resulted in an increase in cyto-
plasmic miR223 at the expense of secretion in exosomes (Figure 3). Although YBAP1 may facilitate
the retention of miR223 within mitochondria, mitochondrial RNA import and export may serve an
MVB
Exosomes
YBX1
YBAP1
miR223
Figure 7. Diagram representing a model of miR223 sorting from mitochondria into exosomes. Stages in the transfer of miR223 from mitochondria.
Cytosolic miR223 is enriched in mitochondria where it may be sequestered by a weak interaction with YBAP1. Cytoplasmic YBX1 interacts more tightly
with miR223 which may drive the removal of miR223 from mitochondria. YBX1 in RNA granules may accumulate miR223 removed from mitochondria.
YBX1 puncta may give rise to small particles carrying miR223 for uptake into endosomes and secretion in exosomes.
Ma et al. eLife 2023;12:e85878. DOI: https://doi.org/10.7554/eLife.85878
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independent role in the selective capture of miRNAs by YBX1 in cytoplasmic P- body condensates.
YBX1 puncta appear to shuttle between mitochondria and endosomes at which point miR223 bound
to YBX1 may be further sorted into invaginations budding into the interior of endosomes.
The highly selective nature of miRNA sorting and secretion in exosomes suggests an important
role in the trafficking of miRNAs between cells. Numerous studies have suggested a role for secreted
miRNAs in recipient cells (Cha et al., 2015; Mittelbrunn et al., 2011; Pegtel et al., 2010; Valadi
et al., 2007). Nonetheless, as miRNAs ordinarily act stoichiometrically on target mRNAs, the extremely
low abundance and copy number of miRNAs/vesicle is hard to reconcile with such a functional role
of secreted miRNA (Chevillet et al., 2014; Shurtleff et al., 2017). Our observation that the bulk of
cellular miR223 is held within mitochondria suggests an alternative role in some structural or regula-
tory process, perhaps essential for mitochondrial homeostasis, controlled by the selective extraction
of unwanted miRNA into RNA granules and further by secretion in exosomes (Figure 7).
Key resources table
Materials and methods
Reagent type (species) or
resource
Designation
Source or
reference
Identifiers
Additional information
Cell line (Spodoptera
frugiperda)
Sf9
Cell line (Homo sapiens)
HEK 293T cells
Cell line (Homo sapiens)
HEK 293T- YBX1 KO cells
Other
Other
Other
Cell culture facility at UC Berkeley
Cell culture facility at UC Berkeley
Obtained by CRISPR- Cas9 in Schekman Lab
Cell line (Homo sapiens)
HEK 293T- YBAP1 KO
This study
Obtained by CRISPR- Cas9 in Schekman Lab
Cell line (Homo sapiens)
HEK 293T- 3xHA- EGFP- OMP25
This study
Obtained by overexpression of pLJM1- 3XHA-
EGFP- OMP25 in Schekman lab
Cell line (Homo sapiens)
U- 2OS cells
Other
Cell culture facility at UC Berkeley
Cell line (Homo sapiens)
U- 2OS Parkin- GFP cells
This study
Obtained by overexpression of Parkin- GFP in
Schekman lab
Recombinant DNA reagent
pFastBac His6 MBP N10 TEV LIC
cloning vector (4 C)
Addgene
RRID:
Addgene_30116 N/A
Recombinant DNA reagent Tom22- mCherry (plasmid)
This study
Gift of Dr Li Yu lab
Recombinant DNA reagent His- MBP- YBX1 (plasmid)
This study
Recombinant DNA reagent His- MBP- YBX1(1–51) (plasmid)
This study
Recombinant DNA reagent His- MBP- YBX1(52–129) (plasmid) This study
Recombinant DNA reagent
His- MBP- YBX1(130–324)
(plasmid)
This study
Recombinant DNA reagent His- MBP- YBX1(1–129) (plasmid)
This study
Recombinant DNA reagent His- MBP- YBX1(F85A) (plasmid)
This study
Recombinant DNA reagent His- MBP- YBAP1 (plasmid)
This study
To express YBX1 in insect cells. Plasmid
maintained in Schekman lab
To express YBX1(1–51) in insect cells. Plasmid
maintained in Schekman lab
To express YBX1(52–129) in insect cells. Plasmid
maintained in Schekman lab
To express YBX1(1–51) in insect cells. Plasmid
maintained in Schekman lab
To express YBX1(1–129) in insect cells. Plasmid
maintained in Schekman lab
To express YBX1(F85A) in insect cells. Plasmid
maintained in Schekman lab
To express YBAP1 in insect cells. Plasmid
maintained in Schekman lab
Recombinant DNA reagent Mito- BFP
This study
Gift of Dr. Samantha Lewis lab
Recombinant DNA reagent mCherry- Rab5(Q79L) (plasmid)
Addgene
RRID:
Addgene_35138
Recombinant DNA reagent pLJM1- 3XHA- EGFP- OMP25
This study
Continued on next page
To express 3xHA- EGFP- OMP25 in HEK293T
cells. Plasmid maintained in Schekman lab
Ma et al. eLife 2023;12:e85878. DOI: https://doi.org/10.7554/eLife.85878
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Continued
Reagent type (species) or
resource
Designation
Source or
reference
Identifiers
Additional information
Anti- YBX1
(Rabbit polyclonal)
Anti- YBAP1
(Mouse monoclonal)
Anti- YBAP1(Rabbit polyclonal)
Abcam
RRID: AB_1950384 WB 1:1000
Santa Cruz
Thermo Fisher
Scientific
RRID:
AB_10611471
WB 1:1000
RRID: AB_2638956 WB 1:1000
Anti- Tim23 (Mouse monoclonal) BD Biosciences
RRID: AB_398754 WB 1:1000
Anti- Tom20 (Mouse monoclonal) Abcam
RRID: AB_945896 WB 1:1000
Anti- Calnexin (Rabbit polyclonal) Abcam
RRID: AB_2069006 WB 1:2000
Anti- HA (Rabbit monoclonal)
Cell Signaling
RRID: AB_1549585 WB 1:1000
Anti- COX IV (Rabbit Monoclonal) Cell signaling
RRID: AB_2085424 WB 1:1000
Anti- Citrate Synthase (Rabbit
monoclonal)
Cell signaling
RRID: AB_2665545 WB 1:1000
Anti- Rab5 (Rabbit monoclonal)
Cell signaling
RRID: AB_2300649 WB 1:1000
Anti- LAMP1 (Rabbit monoclonal) Cell signaling
RRID: AB_2687579 WB 1:1000
Anti- GRP78 (Rabbit polyclonal)
Abcam
RRID: AB_2119834 WB 1:3000
Antibody
Antibody
Antibody
Antibody
Antibody
Antibody
Antibody
Antibody
Antibody
Antibody
Antibody
Antibody
Antibody
Antibody
Antibody
Anti- GADPH (Rabbit
monoclonal)
Anti- alpha Tubulin (Mouse
monoclonal)
Anti- beta Actin (Mouse
monoclonal)
Cell signaling
RRID: AB_561053 WB 1:5000
Abcam
RRID: AB_2241126 WB 1:5000
Abcam
LICOR
NIH
RRID: AB_449644 WB 1:5000
https://www.licor.com/bio/image-studio-lite/
RRID: SCR_002285 https://fiji.sc/
Software, algorithm
Image Studio Lite
Software, algorithm
FIJI
Software, algorithm
Prism 9
GraphPad
RRID: SCR_002798 https://www.graphpad.com
Cell lines and cell culture
All immortalized cell lines were obtained from the UC- Berkeley Cell Culture Facility and were
confirmed by short tandem repeat (STR) profiling and tested negative for mycoplasma contamina-
tion. HEK 293T cells were cultured in DMEM with 10% FBS(VWR), NEAA (Gibco, Cat No: 11140050)
and 1 mM Sodium Pyruvate (Gibco, Cat No: 11360070). For exosome production, we seeded
cells at 10~20% confluency in 150 mm tissue culture dishes (Fisher Scientific, Cat No: 12- 565- 100)
containing 30 ml of exosome- free medium. Exosomes were collected from 80% confluent cells
(~48 hr).
Exosome purification
Conditioned medium was harvested from 80% to 90% confluent HEK 293T cultured cells. All
procedures were performed at 4 ℃. Cells and large debris were removed by centrifugation in a
Sorvall R6 +centrifuge at 1000xg for 15 min followed by 10,000xg for 15 min using a FIBERlite
F14−6x500 y rotor. The supernatant fraction was then centrifuged onto a 60% sucrose cushion in a
buffer with 10 mM HEPES (pH 7.4) and 0.85% w/v NaCl at ~100,000 x g (28,000 RPM) for 1.5 h in
a SW32Ti rotor. The interface over the sucrose cushion was collected and pooled for an additional
centrifugation onto a 2 ml 60% sucrose cushion at ~120,000 x g (31,500 RPM) for 15 h using an
SW41Ti rotor. The first collected interface was measured by refractometry and adjusted a sucrose
concentration not exceeding 21%. For bulk purification, the EVs collected from the interface over
the sucrose cushion after the first SW41Ti centrifugation were mixed with 60% sucrose to a final
volume of 10 ml (the concentration of sucrose ~50%). One ml of 40% and 1 ml of 10% sucrose
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were sequentially overlaid and the samples were centrifuged at ~150,000 x g (36,500 rpm) for 15 h
in an SW41Ti rotor. The exosomes were located at the 10%/40% interface and collected for RNA
extraction or immunoblot.
Density gradient isolation of mitochondria and mitoplasts
Mitochondria were isolated according to a well- established published protocol (Wang et al., 2020).
HEK293T Cells were harvested at 80% confluency and were homogenized in 6 vol of HB buffer
(225 mM mannitol, 25 mM sucrose, 0.5% BSA, 0.5 mM EGTA, 30 mM Tris–HCl, pH 7.4, and protease
inhibitors) in a prechilled Dounce homogenizer (Kontes). The lysate was centrifuged and the postnu-
clear supernatant was collected. Crude mitochondria were centrifuged at 6300 x g for 8 min, washed
once with MRB buffer (250 mM mannitol, 0.5 mM EGTA, and 5 mM HEPES, pH 7.4), resuspended in
1 ml MRB buffer, laid over a 30% Percoll solution (9 ml) and centrifuged at 95,000 g for 45 min. The
buoyant, purified fraction of mitochondria was collected for further analysis. For mitoplast purification,
crude mitochondria were resuspended into 10 vol MRB buffer with 0.2 mg/ml digitonin and incubated
on ice for 15 min. Digitonin- treated crude mitochondria were laid over a 30% Percoll solution (9 ml)
and centrifuged at 95,000 g for 45 min. A buoyant, purified fraction of mitoplasts was collected for
further analysis.
YBAP1 immunoprecipitation from mitochondria
After the Percoll gradient purification, the enriched mitochondria were diluted 2 x into MRB buffer
and centrifuged at 12,000 g for 10 min. The mitochondrial pellet was lysed in 0.5 ml RIPA buffer
(50 mM Tris- HCl, pH 7.5, 150 mM NaCl, 2 mM EDTA, 1% DDM, 1 mM PMSF) containing protease
inhibitors (1 mM 4- aminobenzamidine dihydrochloride, 1 µg/ml antipain dihydrochloride, 1 µg/ml
aprotinin, 1 µg/ml leupeptin, 1 µg/ml chymostatin, 1 mM phenylmethylsulphonyl fluoride, 50 µM
N- tosyl- L- phenylalanine chloromethyl ketone and 1 µg/ml pepstatin) and RNase inhibitors, followed
by centrifugation at 12,000 g for 10 min. Supernatant fractions were incubated with 10 µl washed
protein A Dynabeads (ThermoFisher Scientific, Catalog number: 10001D) and 0.5 µg mouse mono-
clonal IgG antibody and rotated at 4 ℃ for 1 h. A magnetic rack was used to remove protein A beads
and the resulting supernatant fractions were incubated with 40 µl washed protein A Dynabeads and
4 µg YBAP1 antibody or mouse IgG antibody and rotated at 4 ℃ overnight. The beads were collected
using a magnetic rack, washed 3 x with 1 ml of RIPA buffer, and collected for immunoblot and RNA
extraction.
Mitochondria immunoprecipitation
Mito- IP was performed as previously described with slight modifications (Chen et al., 2016). The
mito- IP cell- line was grown to ~90% confluency in 15 cm dishes. All the subsequent steps of mito- IP
were performed using ice- cold buffers either in a cold- room or on ice. Cells (2x107) were washed
twice with 10 ml of PBS and then harvested in 10 ml of mito- IP buffer (10 mM KH2PO4, 137 mM
KCl) containing protease inhibitors (1 mM 4- aminobenzamidine dihydrochloride, 1 µg/ml antipain
dihydrochloride, 1 µg/ml aprotinin, 1 µg/ml leupeptin, 1 µg/ml chymostatin, 1 mM phenylmethyl-
sulphonyl fluoride, 50 µM N- tosyl- L- phenylalanine chloromethyl ketone and 1 µg/ml pepstatin) and
TCEP 0.5 mM. The final mito IP buffer also contained 6 ml of OptiPrep (Sigma) per 100 ml. Cells were
collected at 700xg for 5 min and resuspended in 1 ml of mito- IP buffer per 15 cm plate and then lysed
using 5–10 passes through a 22 G needle. A post- nuclear supernatant (PNS) fraction was obtained
after centrifuging the lysate at 1500xg for 10 min to remove unbroken cells and nuclei. Whenever
necessary, a fraction of PNS was saved for immunoblot analysis. The resulting PNS was incubated with
100 µl of anti- HA magnetic beads (Sigma) pre- equilibrated in the mito- IP buffer in 1.5 ml microcentri-
fuge tubes and then gently rotated on a mixer for 15 min. The beads were collected using a magnetic
rack and washed 3 x for 5 min with 1 ml of mito- IP buffer.
For mitoplast purification by osmotic shock, the supernatant was discarded after the final wash of
the mito- IP sample, and the beads were gently resuspended in 200 µl of hypotonic osmotic shock
buffer (OSB) containing 20 mM HEPES at pH 7.4. The resuspended sample was incubated on ice
for 30 min and then the beads were centrifuged at 15,000 g for 15 min to sediment mitochondria/
mitoplasts. Beads were then resuspended in 100 µl of KPBS and proteinase K was added to achieve
a final concentration of 10 µg/ml and samples were incubated on a rotating mixer at 4 °C for 15 min.
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Subsequently, PMSF was added to a final concentration of 1 mM, along with a protease inhibitor
cocktail, and the sample was incubated on ice for 5 min. Next, 2.5 units of RNase ONE (Promega)
was added to the sample, which was further incubated on a rotating mixer at room temperature for
15 min. For protein analysis, the sample was eluted directly in the SDS loading buffer. Alternatively,
Trizol was added to the sample to stop the reaction for RNA purification.
To assess their quality, we assayed the immunoprecipitated mitochondria for the following protein
markers by immunoblotting using the rabbit primary antibodies- anti- HA (1:1000), anti- COX IV (1:1000),
anti- TOM20 (1:1000), anti- Citrate Synthase (1:1000), anti- RAB5 (1:1000), anti- LAMP1 (1:2000), anti-
GAPDH (1:5000), and anti- GRP78 (Abcam) (1:3000). All the above antibodies were sourced from Cell
Signaling Technology, unless stated otherwise. As a negative control, non- transduced HEK293T cells
were used in these experiments to assess the non- specific capture of the marker proteins.
Mitochondrial fractionation
One mito- IP was performed per sample as described above. To ensure an even distribution of mito-
chondria across the samples, we pooled washed beads from all the IPs and equally distributed aliquots
for subsequent treatments. Mitochondria were lysed in a 50 μl final volume using either 1% vol/vol
Triton X- 100 (final concentration) or by three sequential rounds of freeze/thaw using liquid- nitrogen,
as indicated. Urea was added to a final concentration of 3 M. After a 10 min incubation on ice, samples
were centrifuged at 15000xg for 15 min and supernatant and pellet fractions were collected as indi-
cated. The total fractionated mitochondria were analyzed by immunoblotting for various mitochon-
drial markers. To analyze the specific RNA content of total or fractionated mitochondria, we extracted
RNA using Trizol (Invitrogen) as per manufacturer’s recommendations followed by q- PCR.
In vitro packaging of miR223 and miR223mut
Preparation of membranes and cytosol
The membrane and cytosol fractions were prepared from HEK293T cells as previously described
with slight modifications (Shurtleff et al., 2016; Temoche- Diaz et al., 2020). All steps were carried
out in either the cold- room or on ice using ice- cold buffers and pre- chilled equipment. Briefly,
HEK293T cells (80% confluency) were washed twice with PBS and then harvested in the homoge-
nization buffer (HB) (250 mM sorbitol, 20 mM HEPES- KOH pH 7.4) containing protease inhibitor
cocktail (1 mM 4- aminobenzamidine dihydrochloride, 1 µg/ml antipain dihydrochloride, 1 µg/ml
aprotinin, 1 µg/ml leupeptin, 1 µg/ml chymostatin, 1 mM phenylmethylsulphonyl fluoride, 50 µM
N- tosyl- L- phenylalanine chloromethyl ketone and 1 µg/ml pepstatin). The cell pellet was obtained
by centrifuging the cells at 500xg for 5 min. After discarding the supernatant, cells were weighed
and resuspended in two volumes of HB followed by lysis with 5–10 passages through a 22 G
needle. The lysate was centrifuged at 1500xg for 10 min to remove unbroken cells and nuclei
to obtain a PNS which was then centrifuged at 20,000xg for 30 min to obtain a membrane frac-
tion. The supernatant from above was centrifuged at 150,000xg for 30 min using a TLA- 55 rotor
(Beckman Coulter ) and the resulting supernatant was used as the cytosol fraction (~6 mg protein/
ml). Membranes from the first 20,000xg sedimentation were resuspended in 1 ml of HB and centri-
fuged again at 20,000xg for 30 min. The pellet fraction was resuspended in one volume of HB and
rested on an ice block for a minimum of 10 min until the insoluble components and debris settled
at the bottom of the tube. The finely resuspended material in the resulting supernatant fraction
was then transferred to a new microcentrifuge tube (to avoid the settled debris) and was used as
the membrane fraction.
Preparation of radiolabeled miR223 and miR223mut substrates
HPLC purified miR223 and miR223mut oligos were obtained from IDT. A stock solution of these oligos
(1 μl of a 10 μM) was 5’-end- labeled using T4PNK (NEB) and 5 μl of ATP, [γ–32P]- 6000 Ci/mmol
10mCi/ml EasyTide (PerkinElmer BLU502Z250UC) as per manufacturer’s recommendations in a 50 μl
reaction volume. T4PNK was heat- inactivated at 70 °C for 15 min. Unincorporated radionucleotides
were removed by passing through PerformaTM spin columns (EdgeBio). The flow- through (radiola-
beled substrate) was collected and stored at –20 °C until further use.
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In vitro miR223 packaging reaction
Wherever indicated, 10 μl of cytosol (~5 mg/ml), 17 μl of membranes, 2 μl of radiolabeled substrate,
9 μl of 5 x incorporation buffer (400 mM KCl, 100 mM CaCl2, 60 mM HEPES- NaOH, pH 7.4, 6 mM,
MgOAc), 4.5 μl of 10 x ATP regeneration system (400 mM creatine phosphate, 2 mg/ml creatine phos-
phokinase, 10 mM ATP, 20 mM HEPES pH 7.2, 250 mM sorbitol, 150 mM KOAc, 5 mM MgOAc), 1 μl of
ATP (100 mM, Promega), 0.5 μl of GTP (100 mM, Promega), 1 μl of Ribolock (40 U/μl, Invitrogen) were
mixed to setup a 45 μl in vitro packaging reaction. In samples without the cytosol or membranes, the
final reaction volumes were adjusted to 45 μl using HB. The reactions were incubated at either 30 °C
or on ice, as indicated, for 15 min. Following the incubation, the indicated samples were subjected to
RNAse ONE(Promega) using 10 U of the enzyme in the presence of urea (300 mM final concentration)
in a total reaction volume of 60 μl. Wherever indicated, TritonX- 100 was added to a final concentra-
tion of 1%. The RNAse treatments were carried out for 20 min at 30 °C followed by RNA extraction
using DirectZol (Zymo Research) kits as per manufacturer’s protocol. RNA was precipitated overnight
at –20 °C by the addition of 3 vol of ethanol, 1/10th volume of 3 M sodium acetate (pH5.2) and 30 μg
Glycoblue reagent (Invitrogen). Precipitated RNA was sedimented at 16,000xg for 30 min followed
by washing with ice- cold 70% ethanol. The RNA pellet was resuspended in 2 X RNA loading dye
(NEB) and heated for 5 min at 70 °C. RNA was separated using a 15% denaturing polyacrylamide gel,
followed by gel drying using a vacuum gel dryer (Model 583, Biorad). Radioactive bands were visual-
ized by phosphorimaging using a Kodak storage phosphor screen and the Pharos FX Plus Molecular
Imager (Biorad).
Immunoblots
Cell lysates and other samples were prepared by adding 2% SDS and heated at 95 ℃ for 10 min.
Protein was quantified using a BCA Protein Assay Kit (Thermo Fisher Scientific) and appropriate
amounts were mixed with 5 x SDS loading buffer. Samples were heated at 95℃ for 10 min and sepa-
rated on 4–20% acrylamide Tris- glycine gradient gels (Life Technologies). Proteins were transferred
to PVDF membranes (EMD Millipore, Darmstadt, Germany) and the membrane was blocked with 5%
fat- free milk powder in TBST and incubated for 1 h at room temperature or overnight at 4 °C with
primary antibodies. Blots were then washed in three washes of TBST for 10 min each. Membranes
were incubated with anti- rabbit or anti- mouse secondary antibodies (GE Healthcare Life Sciences,
Pittsburgh, PA) for 1 hr at room temperature and rinsed in three washes of TBST for 10 min each. Blots
were developed with ECL- 2 reagent (Thermo Fisher Scientific). Primary antibodies used in this study
were as follows: anti- Tim23 (BD, 611222), Calnexin (Abcam, ab22595), Actin (Abcam, ab8224), Tubulin
(Abcam, ab7291), YBAP1 (Santa Cruz Biotechnology, sc- 271200).
Immunofluorescence
Cells were cultured on 12 mm round coverslips (corning) and were fixed with 4% EM- grade parafor-
maldehyde (Electron Microscopy Science, Hatfield, PA) in PBS pH7.4 for 10 min at room temperature.
Cells were then washed 3 x with PBS for 10 min each, treated with permeabilizing buffer (10% FBS in
PBS) containing 0.1% saponin for 20 min and treated in blocking buffer for 30 min. Subsequently, cells
were incubated with primary antibodies in permeabilizing buffer for 1 hr at room temperature, washed
3 x with PBS for 10 min each and incubated with secondary antibodies in permeabilizing buffer for 1 hr
at room temperature and finally washed 3 x with PBS for 10 min each. Cells were mounted on slides
with Prolong Gold with DAPI (Thermo Fisher Scientific, P36931). Primary antibodies used in the immu-
nofluorescence studies were as follows: anti- YBX1 (Abcam, ab12148), YBAP1 (Santa Cruz Biotech-
nology, sc- 271200). Images were acquired with Zeiss LSM900 confocal microscope and analyzed with
the Fiji software (http://fiji.sc/Fiji).
Quantitative real-time PCR
Cellular and EV RNAs were extracted using a mirVana miRNA isolation kit (Thermo Fisher Scien-
tific, AM1560) or Direct- zol RNA Miniprep kits (Zymo Research). Taqman miRNA assays for miRNA
detection were purchased from Life Technologies. Assay numbers were: hsa- miR- 223–3 p, 002295;
hsa- mir- 190–5 p, 000489; U6 snRNA, 001973. Total RNAs were quantified using RNA bioanalyzer
(Agilent). Taqman qPCR master mix with no Amperase UNG was obtained from Life Technologies for
reverse transcription. For mRNA, RevertAid First Strand cDNA Synthesis Kit (Thermo Scientific, K1621)
Ma et al. eLife 2023;12:e85878. DOI: https://doi.org/10.7554/eLife.85878
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was used for reverse transcription. COX1 qPCR primers: Forward- 5’- TCTC AGGC TACA CCCT AGAC
CA-3’, Reverse- 5’- ATCG GGGT AGTC CGAG TAAC GT-3’. GAPDH qPCR primers: Forward- 5’- CTGA
CTTC AACA GCGA CACC -3’, Reverse- 5’- TAGC CAAA TTCG TTGT CATA CC-3’. Quantitative real- time
PCR was performed using an QuantStudio 5 Real- Time PCR System (Applied Biosystems).
Protein purification
Twin Strep tag hybrid YBX1 was expressed and the protein was isolated 48 hr after PEI- mediated
transfection of 293T cells. Cells were resuspended in PBS and collected by centrifugation for 5 min
at 600 g. Pellet fractions were resuspended in 35 ml lysis buffer (50 mM Tris- HCl (pH 8),150mM
NaCl,1mM EDTA, 2 mM DTT, 1 mM PMSF and 1 x protease inhibitor cocktail). After sonication of
the cell suspension the crude lysate was centrifuged for 60 min at 20,000 rpm at 4 °C. The resulting
supernatant fraction was incubated with 2 ml Strep- Tactin Sepharose resin (IBA, 2- 1201- 010) for 1 h.
Strep- Tactin Sepharose resin samples were transferred to columns (18 ml) and protein- bound beads
were washed with 60 ml wash buffer (50 mM Tris- HCl (pH 8), 500 mM NaCl, 1 mM EDTA, 2 mM DTT)
until no protein was eluted as monitored by the Bio- Rad protein assay (Bio- Rad, Catalog #5000006).
Proteins were eluted with 10 ml elution buffer (50 mM Tris- HCl (PH = 8),150mM NaCl, 10 mM desthi-
obiotin, 1 mM EDTA, 2 mM DTT) and concentrated using an Amicon Ultra Centrifugal Filter Unit
(50 kDa, 4 ml) (Fisher Scientific, EMD Millipore). Proteins were further purified by gel filtration chroma-
tography (Superdex- 200, GE Healthcare) with columns equilibrated in storage buffer (50 mM Tris- HCl
7.4, 500 mM KCl, 5% glycerol, 1 mM DTT). Peak fractions corresponding to the appropriate fusion
protein were pooled, concentrated, and distributed in 10 µl aliquots in PCR tubes, flash- frozen in
liquid nitrogen and stored at –80 °C. Protein concentration was determined by known concentrations
of BSA assessed by Coomassie Blue staining.
Tagged (6xHis) and maltose- binding protein hybrid genes were expressed in baculovirus- infected
SF9 insect cells (Lemaitre et al., 2019). Insect cell cultures (1 l, 1x106 cells/ml) were harvested 48 h
after viral infection and collected by centrifugation for 20 min at 2000 rpm. The pellet fractions were
resuspended in 35 ml lysis buffer (50 mM Tris- HCl 7.4, 0.5 M KCl, 5% glycerol, 10 mM imidazole,
0.5 µl/ml Benzonase nuclease (Sigma, 70746–3), 1 mM DTT, 1 mM PMSF and 1 x protease inhibitor
cocktail). Cells were lysed by sonication and the crude lysate was centrifuged for 60 min at 20,000 rpm
at 4 °C. After centrifugation, the supernatant fraction was incubated with 2 ml Ni- NTA His- Pur resin
(Thermo Fisher, PI88222) for 1 hr. Ni- NTA resin samples were transferred to columns (18 ml) and
protein- bound beads were washed with 60 ml lysis buffer until no protein was eluted as monitored by
the Bio- Rad protein assay (Bio- Rad, Catalog #5000006). Proteins were eluted with 10 ml elution buffer
(50 mM Tris- HCl 7.4, 0.5 M KCl, 5% glycerol, 500 mM imidazole). The eluted sample was incubated
with 2 ml amylose resin (New England Biolabs, E8021L) for 1 hr at 4 °C. Amylose resin samples were
transferred to columns and protein- bound beads were washed with 60 ml lysis buffer until no protein
was eluted as monitored by the Bio- Rad protein assay. Proteins were eluted with 10 ml elution buffer
(50 mM Tris- HCl 7.4, 500 mM KCl, 5% glycerol, 50 mM maltose) and were concentrated using an
Amicon Ultra Centrifugal Filter Unit (50 kDa, 4 ml) (Thermo Fisher Scientific, EMD Millipore). Proteins
were further purified by gel filtration chromatography (Superdex- 200, GE Healthcare) with columns
equilibrated in storage buffer (50 mM Tris- HCl 7.4, 500 mM KCl, 5% glycerol, 1 mM DTT). Peak frac-
tions corresponding to the appropriate fusion protein were pooled, concentrated, and distributed in
10 µl aliquots in PCR tubes, flash- frozen in liquid nitrogen and stored at –80 °C. Protein concentration
was determined by known concentrations of BSA based on Coomassie blue staining.
CRISPR/Cas9 genome editing
A pX330- based plasmid expressing Venus fluorescent protein (Shurtleff et al., 2016) was used to
clone the gRNAs targeting YBAP1. A CRISPR guide RNA targeting the first exon of the YBAP1 open
reading frame was designed following the CRISPR design website (http://crispor.tefor.net/crispor.py):
CGCT GCGT GCCC CGTG TGCT . Oligonucleotides encoding gRNAs were annealed and cloned into
pX330- Venus as described (Cong et al., 2013). HEK293T cells were transfected by Lipofectamine
2000 for 48 hr at low passage number, trypsinized and sorted for single, Venus positive cells in 96- well
plates by a BD Influx cell sorter. YBAP1 knockout candidates were confirmed by immunoblot. HEK
293T YBX1 knockout cells were generously provided by Dr. Xiaoman Liu (Liu et al., 2021).
Ma et al. eLife 2023;12:e85878. DOI: https://doi.org/10.7554/eLife.85878
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Electrophoretic mobility shift assay
Fluorescently labeled RNAs (5’-IRD800CWN) for detecting free and protein- bound RNA were ordered
from Integrated DNA Technologies (IDT, Coralville, IA). EMSA was performed as described with some
modification (Rio, 2014). Briefly, 1 nM of IRD800CWN- labeled RNA was incubated with increasing
amounts of purified proteins, ranging from 500 pM - 1 μM. Buffer E was used in this incubation
(25 mM Tris pH8.0, 100 mM KCl, 1.5 mM MgCl2, 0.2 mM EGTA, 0.05% Nonidet P- 40, 1 mM DTT,
5% glycerol, 50 µg/ml heparin). Reactions were incubated at 30 ℃ for 30 min then chilled on ice for
10 min. Samples were mixed with 6 x loading buffer (60 mM KCl, 10 mM Tris pH 7,6, 50% glycerol,
0.03% (w/v) xylene cyanol). Mixtures (5 µl) were loaded onto a 6% native polyacrylamide gel and
electrophoresed at 200 V for 45 min in a cold room. The fluorescence signal was detected using an
Odyssey CLx Imaging System (LI- COR Biosciences, Lincoln, NE). The software of the Odyssey CLx
Imaging System was used to quantify fluorescence. To calculate Kds, we fitted used Hill equations
with quantified data points.
CD63-Nluc exosome secretion assay
The CD63- Nluc exosome secretion assay was carried out as described (Williams et al., 2023). Briefly,
cells stably expressing CD63- Nluc were cultured in 24- well plates until reaching approximately 80%
confluence. All subsequent procedures were performed at 4 °C. Conditioned medium (200 µl) was
collected from the appropriate wells and transferred to microcentrifuge tubes. The tubes were
subjected to centrifugation at 1000×g for 15 min to remove intact cells, followed by an additional
centrifugation at 10,000×g for 15 min to eliminate cellular debris. Supernatant fractions (50 µl) were
used for measuring CD63- Nluc exosome luminescence. Cells were kept on ice and washed once with
cold PBS, and then lysed in 200 µl of PBS containing 1% TX- 100 and protease inhibitor cocktail.
For the measurement of CD63- Nluc exosome secretion, a master mix was prepared by diluting the
Extracellular NanoLuc Inhibitor at a 1:1000 ratio and the NanoBRET Nano- Glo Substrate at a 1:333
ratio in PBS (Promega, Madison, WI, USA). Aliquots of the Nluc substrate/inhibitor master mix (100 µl)
were added to 50 µl of the supernatant fraction obtained from the medium- speed centrifugation.
The mixture was briefly vortexed, and luminescence was measured using a Promega GlowMax 20/20
Luminometer (Promega, Madison, WI, USA). Following luminescence measurements, 1.5 µl of 10% TX-
100 was added to each reaction tube to achieve a final concentration of 0.1% TX- 100. Samples were
vortexed briefly, and luminescence was measured again. For intracellular normalization, the lumi-
nescence of 50 µl of cell lysate was measured using the Nano- Glo Luciferase Assay kit (Promega,
Madison, WI, USA) following the manufacturer’s instructions. The exosome production index (EPI) for
each sample was calculated using the formula: EPI = ([medium] - [medium +0.1% TX- 100])/cell lysate.
Acknowledgements
We thank Dr. Samantha Lewis for advice about localization to mitochondria and for sharing a plasmid;
thanks Matthew J Shurtleff, David Melville, Shenjie Wu, Jordan Ngo, Congyan Zhang, Justin Williams,
Morayma M Temoche- Diaz for suggestions and reading and editing the manuscript. We also thank
staff at the UC Berkeley shared facilities, the Cell Culture Facility, the Flow Cytometry Facility and
QB3- Berkeley (The California Institute for Quantitative Biosciences at UC Berkeley). LM and JS are
supported as Research Associates of the HHMI. RS is an Investigator of the HHMI, a Senior fellow of
the UC Berkeley Miller Institute of Science and Scientific Director of Aligning Science Across Parkin-
son’s Disease.
Additional information
Funding
Funder
Howard Hughes Medical
Institute
Grant reference number Author
Randy Schekman
Ma et al. eLife 2023;12:e85878. DOI: https://doi.org/10.7554/eLife.85878
20 of 23
Cell Biology
Research article
Funder
Grant reference number Author
The funders had no role in study design, data collection and interpretation, or the
decision to submit the work for publication.
Author contributions
Liang Ma, Conceptualization, Data curation, Formal analysis, Validation, Investigation, Visualization,
Methodology, Writing – original draft, Writing – review and editing; Jasleen Singh, Data curation,
Formal analysis, Methodology, Writing – original draft, Writing – review and editing; Randy Schekman,
Conceptualization, Resources, Supervision, Funding acquisition, Validation, Investigation, Method-
ology, Writing – original draft, Project administration, Writing – review and editing
Author ORCIDs
Liang Ma
Randy Schekman
http://orcid.org/0000-0003-3227-5917
http://orcid.org/0000-0001-8615-6409
Decision letter and Author response
Decision letter https://doi.org/10.7554/eLife.85878.sa1
Author response https://doi.org/10.7554/eLife.85878.sa2
Additional files
Supplementary files
• MDAR checklist
Data availability
All data generated or analyzed in this study are included in the manuscript and supporting files.
Source data files have been provided for Figure 1b, Figure 1c, Figure 1f, Figure 1g, Figure 1- figure
supplement 2a- c, Figure 2b, Figure 2g, Figure 2- figure supplement 1a- f, Figure 3a, Figure 3c, Figure
3e, Figure 3h, Figure 3 supplement 1b- c, Figure 4a, Figure 4b, Figure 4e, Figure 4f, Figure 4h, Figure
4i, Figure 4- figure supplement 1a- b, Figure 4- figure supplement 2a, Figure 5b.
References
Cha DJ, Franklin JL, Dou Y, Liu Q, Higginbotham JN, Demory Beckler M, Weaver AM, Vickers K, Prasad N,
Levy S, Zhang B, Coffey RJ, Patton JG. 2015. KRAS- dependent sorting of miRNA to exosomes. eLife 4:e07197.
DOI: https://doi.org/10.7554/eLife.07197, PMID: 26132860
Chen WW, Freinkman E, Wang T, Birsoy K, Sabatini DM. 2016. Absolute quantification of matrix metabolites
reveals the dynamics of mitochondrial metabolism. Cell 166:1324–1337.. DOI: https://doi.org/10.1016/j.cell.
2016.07.040, PMID: 27565352
Chevillet JR, Kang Q, Ruf IK, Briggs HA, Vojtech LN, Hughes SM, Cheng HH, Arroyo JD, Meredith EK,
Gallichotte EN, Pogosova- Agadjanyan EL, Morrissey C, Stirewalt DL, Hladik F, Yu EY, Higano CS, Tewari M.
2014. Quantitative and stoichiometric analysis of the microRNA content of exosomes. PNAS 111:14888–14893.
DOI: https://doi.org/10.1073/pnas.1408301111, PMID: 25267620
Cocucci E, Racchetti G, Meldolesi J. 2009. Shedding microvesicles: artefacts no more. Trends in Cell Biology
19:43–51. DOI: https://doi.org/10.1016/j.tcb.2008.11.003, PMID: 19144520
Cong L, Ran FA, Cox D, Lin S, Barretto R, Habib N, Hsu PD, Wu X, Jiang W, Marraffini LA, Zhang F. 2013.
Multiplex genome engineering using CRISPR/Cas systems. Science 339:819–823. DOI: https://doi.org/10.
1126/science.1231143, PMID: 23287718
Correia- Melo C, Ichim G, Tait SWG, Passos JF. 2017. Depletion of mitochondria in mammalian cells through
enforced mitophagy. Nature Protocols 12:183–194. DOI: https://doi.org/10.1038/nprot.2016.159, PMID:
28005069
Harding C, Heuser J, Stahl P. 1983. Receptor- mediated endocytosis of transferrin and recycling of the transferrin
receptor in rat reticulocytes. The Journal of Cell Biology 97:329–339. DOI: https://doi.org/10.1083/jcb.97.2.
329, PMID: 6309857
Huang L, Mollet S, Souquere S, Le Roy F, Ernoult- Lange M, Pierron G, Dautry F, Weil D. 2011. Mitochondria
associate with P- bodies and modulate microRNA- mediated RNA interference. The Journal of Biological
Chemistry 286:24219–24230. DOI: https://doi.org/10.1074/jbc.M111.240259, PMID: 21576251
Jeandard D, Smirnova A, Tarassov I, Barrey E, Smirnov A, Entelis N. 2019. Import of Non- Coding RNAs into
Human Mitochondria: A. Critical Review and Emerging Approaches. Cells 8:286. DOI: https://doi.org/10.3390/
cells8030286
Ma et al. eLife 2023;12:e85878. DOI: https://doi.org/10.7554/eLife.85878
21 of 23
Cell Biology
Research article
Lemaitre RP, Bogdanova A, Borgonovo B, Woodruff JB, Drechsel DN. 2019. FlexiBAC: a versatile, open- source
baculovirus vector system for protein expression, secretion, and proteolytic processing. BMC Biotechnology
19:20. DOI: https://doi.org/10.1186/s12896-019-0512-z, PMID: 30925874
Li J, Liu K, Liu Y, Xu Y, Zhang F, Yang H, Liu J, Pan T, Chen J, Wu M, Zhou X, Yuan Z. 2013. Exosomes mediate the
cell- to- cell transmission of IFN-α-induced antiviral activity. Nature Immunology 14:793–803. DOI: https://doi.
org/10.1038/ni.2647, PMID: 23832071
Liu XM, Ma L, Schekman R. 2021. Selective sorting of microRNAs into exosomes by phase- separated YBX1
condensates. eLife 10:e71982. DOI: https://doi.org/10.7554/eLife.71982, PMID: 34766549
Lyons SM, Achorn C, Kedersha NL, Anderson PJ, Ivanov P. 2016. YB- 1 regulates tiRNA- induced Stress Granule
formation but not translational repression. Nucleic Acids Research 44:6949–6960. DOI: https://doi.org/10.
1093/nar/gkw418, PMID: 27174937
Matsumoto K, Tanaka KJ, Tsujimoto M. 2005. An acidic protein, YBAP1, mediates the release of YB- 1 from
mRNA and relieves the translational repression activity of YB- 1. Molecular and Cellular Biology 25:1779–1792.
DOI: https://doi.org/10.1128/MCB.25.5.1779-1792.2005, PMID: 15713634
Mittelbrunn M, Gutiérrez- Vázquez C, Villarroya- Beltri C, González S, Sánchez- Cabo F, González MÁ, Bernad A,
Sánchez- Madrid F. 2011. Unidirectional transfer of microRNA- loaded exosomes from T cells to antigen-
presenting cells. Nature Communications 2:282. DOI: https://doi.org/10.1038/ncomms1285, PMID: 21505438
Mukherjee K, Ghoshal B, Ghosh S, Chakrabarty Y, Shwetha S, Das S, Bhattacharyya SN. 2016. Reversible
HuR- microRNA binding controls extracellular export of miR- 122 and augments stress response. EMBO Reports
17:1184–1203. DOI: https://doi.org/10.15252/embr.201541930, PMID: 27402548
Muta T, Kang D, Kitajima S, Fujiwara T, Hamasaki N. 1997. p32 protein, a splicing factor 2- associated protein, is
localized in mitochondrial matrix and is functionally important in maintaining oxidative phosphorylation. The
Journal of Biological Chemistry 272:24363–24370. DOI: https://doi.org/10.1074/jbc.272.39.24363, PMID:
9305894
Pegtel DM, Cosmopoulos K, Thorley- Lawson DA, van Eijndhoven MAJ, Hopmans ES, Lindenberg JL,
de Gruijl TD, Würdinger T, Middeldorp JM. 2010. Functional delivery of viral miRNAs via exosomes. PNAS
107:6328–6333. DOI: https://doi.org/10.1073/pnas.0914843107, PMID: 20304794
Rio DC. 2014. Electrophoretic Mobility Shift Assays for RNA–Protein Complexes. Cold Spring Harbor Protocols
2014:435–440. DOI: https://doi.org/10.1101/pdb.prot080721
Santangelo L, Giurato G, Cicchini C, Montaldo C, Mancone C, Tarallo R, Battistelli C, Alonzi T, Weisz A,
Tripodi M. 2016. The RNA- Binding Protein SYNCRIP Is a Component of the Hepatocyte Exosomal Machinery
Controlling MicroRNA Sorting. Cell Reports 17:799–808. DOI: https://doi.org/10.1016/j.celrep.2016.09.031,
PMID: 27732855
Shurtleff MJ, Temoche- Diaz MM, Karfilis KV, Ri S, Schekman R. 2016. Y- box protein 1 is required to sort
microRNAs into exosomes in cells and in a cell- free reaction. eLife 5:e19276. DOI: https://doi.org/10.7554/
eLife.19276, PMID: 27559612
Shurtleff MJ, Yao J, Qin Y, Nottingham RM, Temoche- Diaz MM, Schekman R, Lambowitz AM. 2017. Broad role
for YBX1 in defining the small noncoding RNA composition of exosomes. PNAS 114:E8987–E8995. DOI:
https://doi.org/10.1073/pnas.1712108114, PMID: 29073095
Temoche- Diaz MM, Shurtleff MJ, Nottingham RM, Yao J, Fadadu RP, Lambowitz AM, Schekman R. 2019. Distinct
mechanisms of microRNA sorting into cancer cell- derived extracellular vesicle subtypes. eLife 8:e47544. DOI:
https://doi.org/10.7554/eLife.47544, PMID: 31436530
Temoche- Diaz MM, Shurtleff MJ, Schekman R. 2020. Buoyant density fractionation of small extracellular vesicle
sub- populations derived from mammalian cells. Bio- Protocol 10:e3706. DOI: https://doi.org/10.21769/
BioProtoc.3706, PMID: 33659370
Teng Y, Ren Y, Hu X, Mu J, Samykutty A, Zhuang X, Deng Z, Kumar A, Zhang L, Merchant ML, Yan J, Miller DM,
Zhang H- G. 2017. MVP- mediated exosomal sorting of miR- 193a promotes colon cancer progression. Nature
Communications 8:14448. DOI: https://doi.org/10.1038/ncomms14448, PMID: 28211508
Trajkovic K, Hsu C, Chiantia S, Rajendran L, Wenzel D, Wieland F, Schwille P, Brügger B, Simons M. 2008.
Ceramide triggers budding of exosome vesicles into multivesicular endosomes. Science 319:1244–1247. DOI:
https://doi.org/10.1126/science.1153124, PMID: 18309083
Valadi H, Ekström K, Bossios A, Sjöstrand M, Lee JJ, Lötvall JO. 2007. Exosome- mediated transfer of mRNAs
and microRNAs is a novel mechanism of genetic exchange between cells. Nature Cell Biology 9:654–659. DOI:
https://doi.org/10.1038/ncb1596, PMID: 17486113
Villarroya- Beltri C, Gutiérrez- Vázquez C, Sánchez- Cabo F, Pérez- Hernández D, Vázquez J, Martin- Cofreces N,
Martinez- Herrera DJ, Pascual- Montano A, Mittelbrunn M, Sánchez- Madrid F. 2013. Sumoylated hnRNPA2B1
controls the sorting of miRNAs into exosomes through binding to specific motifs. Nature Communications
4:2980. DOI: https://doi.org/10.1038/ncomms3980, PMID: 24356509
Wang WX, Prajapati P, Nelson PT, Springer JE. 2020. The mitochondria- associated er membranes are novel
subcellular locations enriched for inflammatory- responsive microRNAs. Molecular Neurobiology 57:2996–3013.
DOI: https://doi.org/10.1007/s12035-020-01937-y, PMID: 32451872
Williams JK, Ngo JM, Lehman IM, Schekman R. 2023. Annexin A6 mediates calcium- dependent exosome
secretion during plasma membrane repair. eLife 12:e86556. DOI: https://doi.org/10.7554/eLife.86556, PMID:
37204294
Wozniak AL, Adams A, King KE, Dunn W, Christenson LK, Hung WT, Weinman SA. 2020. The RNA binding
protein FMR1 controls selective exosomal miRNA cargo loading during inflammation. The Journal of Cell
Biology 219:e201912074. DOI: https://doi.org/10.1083/jcb.201912074, PMID: 32970791
Ma et al. eLife 2023;12:e85878. DOI: https://doi.org/10.7554/eLife.85878
22 of 23
Cell Biology
Research article
Yuyama K, Sun H, Mitsutake S, Igarashi Y. 2012. Sphingolipid- modulated exosome secretion promotes clearance
of amyloid-β by microglia. The Journal of Biological Chemistry 287:10977–10989. DOI: https://doi.org/10.
1074/jbc.M111.324616, PMID: 22303002
Ma et al. eLife 2023;12:e85878. DOI: https://doi.org/10.7554/eLife.85878
23 of 23
Cell Biology
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10.1371_journal.pntd.0009424.pdf
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Data Availability Statement: All relevant data are
within the manuscript and its Supporting
Information files.
| null |
RESEARCH ARTICLE
The utilization of advance telemetry to
investigate critical physiological parameters
including electroencephalography in
cynomolgus macaques following aerosol
challenge with eastern equine encephalitis
virus
1, Franco D. Rossi1, Michael V. Accardi2, Brandi L. Dorsey1, Thomas
John C. TrefryID
R. SpragueID
E. KimmelID
P. CardileID
L. PittID
1, Suzanne E. Wollen-RobertsID
1, Pamela J. GlassID
4, Darci R. SmithID
1*
1, Joshua D. Shamblin1, Adrienne
1, Lynn J. Miller3, Crystal W. Burke1, Anthony
1, Sina Bavari1, Simon Authier2, William D. PrattID
1*, Farooq NasarID
1, Margaret
1 Virology Division, United States Army Medical Research Institute of Infectious Diseases, Frederick,
Maryland, United States of America, 2 Charles River (formerly Citoxlab North America), Laval, Canada,
3 Veterinary Medicine Division, United States Army Medical Research Institute of Infectious Diseases,
Frederick, Maryland, United States of America, 4 Division of Medicine, United States Army Medical Research
Institute of Infectious Diseases, Frederick, Maryland, United States of America
* margaret.l.pitt.civ@mail.mil (MLP); fanasar@icloud.com (FN)
Abstract
Most alphaviruses are mosquito-borne and can cause severe disease in humans and
domesticated animals. In North America, eastern equine encephalitis virus (EEEV) is
an important human pathogen with case fatality rates of 30–90%. Currently, there are no
therapeutics or vaccines to treat and/or prevent human infection. One critical impediment in
countermeasure development is the lack of insight into clinically relevant parameters
in a susceptible animal model. This study examined the disease course of EEEV in a
cynomolgus macaque model utilizing advanced telemetry technology to continuously
and simultaneously measure temperature, respiration, activity, heart rate, blood pressure,
electrocardiogram (ECG), and electroencephalography (EEG) following an aerosol chal-
lenge at 7.0 log10 PFU. Following challenge, all parameters were rapidly and substantially
altered with peak alterations from baseline ranged as follows: temperature (+3.0–4.2˚C),
respiration rate (+56–128%), activity (-15-76% daytime and +5–22% nighttime), heart rate
(+67–190%), systolic (+44–67%) and diastolic blood pressure (+45–80%). Cardiac abnor-
malities comprised of alterations in QRS and PR duration, QTc Bazett, T wave morphology,
amplitude of the QRS complex, and sinoatrial arrest. An unexpected finding of the study
was the first documented evidence of a critical cardiac event as an immediate cause of
euthanasia in one NHP. All brain waves were rapidly (*12–24 hpi) and profoundly altered
with increases of up to 6,800% and severe diffuse slowing of all waves with decreases of
~99%. Lastly, all NHPs exhibited disruption of the circadian rhythm, sleep, and food/fluid
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OPEN ACCESS
Citation: Trefry JC, Rossi FD, Accardi MV, Dorsey
BL, Sprague TR, Wollen-Roberts SE, et al. (2021)
The utilization of advance telemetry to investigate
critical physiological parameters including
electroencephalography in cynomolgus macaques
following aerosol challenge with eastern equine
encephalitis virus. PLoS Negl Trop Dis 15(6):
e0009424. https://doi.org/10.1371/journal.
pntd.0009424
Editor: Alain Kohl, University of Glasgow, UNITED
KINGDOM
Received: December 4, 2020
Accepted: April 29, 2021
Published: June 17, 2021
Peer Review History: PLOS recognizes the
benefits of transparency in the peer review
process; therefore, we enable the publication of
all of the content of peer review and author
responses alongside final, published articles. The
editorial history of this article is available here:
https://doi.org/10.1371/journal.pntd.0009424
Copyright: This is an open access article, free of all
copyright, and may be freely reproduced,
distributed, transmitted, modified, built upon, or
otherwise used by anyone for any lawful purpose.
The work is made available under the Creative
Commons CC0 public domain dedication.
PLOS Neglected Tropical Diseases | https://doi.org/10.1371/journal.pntd.0009424 June 17, 2021
1 / 32
Data Availability Statement: All relevant data are
within the manuscript and its Supporting
Information files.
Funding: This study was supported by a grant
from Medical Countermeasure Systems-Joint
Vaccine Acquisition Program [Grant
#A5XA0A7444182001 (FN and MLP)]. The funders
had no role in study design, data collection and
analysis, decision to publish, or preparation of the
manuscript.
Competing interests: The authors have declared
that no competing interests exist.
Utilization of advance telemetry in cynomolgus macaques infected with EEEV
intake. Accordingly, all NHPs met the euthanasia criteria by ~106–140 hpi. This is the first of
its kind study utilizing state of the art telemetry to investigate multiple clinical parameters rel-
evant to human EEEV infection in a susceptible cynomolgus macaque model. The study
provides critical insights into EEEV pathogenesis and the parameters identified will improve
animal model development to facilitate rapid evaluation of vaccines and therapeutics.
Author summary
In North America, EEEV causes the most severe mosquito-borne disease in humans
highlighted by fatal encephalitis and permeant debilitating neurological sequelae in survi-
vors. The first confirmed human cases were reported more than 80 years ago and since
then multiple sporadic outbreaks have occurred including one of the largest in 2019.
Unfortunately, most human infections are diagnosed at the on-set of severe neurological
symptoms and consequently a detailed disease course in humans is lacking. This gap in
knowledge is a significant obstacle in the development of appropriate animal models to
evaluate countermeasures. Here, we performed a cutting-edge study by utilizing a new
telemetry technology to understand the course of EEEV infection in a susceptible
macaque model by measuring multiple physiological parameters relevant to human dis-
ease. Our study demonstrates that the infection rapidly produces considerable alterations
in many critical parameters including the electrical activity of the heart and the brain lead-
ing to severe disease. The study also highlights the extraordinary potential of new teleme-
try technology to develop the next generation of animal models to comprehensively
investigate pathogenesis as well as evaluate countermeasures to treat and/or prevent
EEEV disease.
Introduction
The genus Alphavirus in the family Togaviridae is comprised of small, spherical, enveloped
viruses with genomes consisting of a single stranded, positive-sense RNA ~11–12 kb in length.
Alphaviruses comprise 31 recognized species classified into eleven complexes based on anti-
genic and/or genetic similarities [1–5]. The two aquatic alphavirus complexes [Salmon pancre-
atic disease virus (SPDV) and Southern elephant seal virus (SESV)] are not known to utilize
arthropods in their transmission cycles, whereas all of the remaining complexes [Barmah For-
est, Ndumu, Middelburg, Semliki Forest, Venezuelan (VEE), eastern (EEE), western equine
encephalitis (WEE), Trocara, and Eilat], consist of arboviruses that almost exclusively utilize
mosquitoes as vectors [6]. Mosquito-borne alphaviruses infect diverse vertebrate hosts includ-
ing equids, birds, amphibians, reptiles, rodents, pigs, nonhuman primates (NHPs), and
humans [6].
The ability to infect both mosquitoes and vertebrates enables the maintenance of alpha-
viruses in natural endemic transmission cycles that occasionally spillover into the human pop-
ulation and cause disease. Infections with Old World alphaviruses such as chikungunya,
o’nyong-nyong, Sindbis, and Ross River are rarely fatal but disease is characterized by rash
and debilitating arthralgia that can persist for months or years [6]. In contrast, New World
alphaviruses such as eastern (EEEV), western (WEEV), and Venezuelan equine encephalitis
virus (VEEV) can cause fatal encephalitis [6].
Of the New World alphaviruses, EEEV is of foremost importance in North America. EEEV
is comprised of four lineages; one North American (NA) and three South American [7,8]. The
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PLOS NEGLECTED TROPICAL DISEASESUtilization of advance telemetry in cynomolgus macaques infected with EEEV
NA lineage is associated with severe human disease, and is endemic in the eastern United
States and Canada, and the Gulf coast of the United States [6]. The main transmission cycle is
between passerine birds and Culiseta melanura mosquitoes, with enzootic foci concentrated in
the Mid-Atlantic, New England, Michigan, Wisconsin, and Florida [6,9]. This cycle can spill-
over into humans and domesticated animals to cause severe disease with human and equid
case-fatality rates of 30–90% and >90%, respectively [6,10]. Human survivors can suffer from
debilitating and permanent long-term neurological sequelae at rates of 35–80% [6,10]. In addi-
tion to natural infections, many properties of EEEV including ease of isolation from nature
and amplification in tissue culture, high virus titers, virus stability, high infectivity and uni-
form lethality via aerosol route in non-human primates are conducive to weaponization.
These properties facilitated the development of EEEV as a potential biological weapon during
the Cold War by the United States and the former Union of Soviet Socialist Republics (USSR)
[11,12]. These traits have also led to the assignment of EEEV to the NIAID category B list and
as a select agent. Currently, there are no licensed therapeutics and/or vaccines to treat or pre-
vent EEEV infection and the U.S. population remains vulnerable to bioterror event/s or natu-
ral disease outbreaks.
In order to develop effective therapeutic and/or vaccine countermeasures, various rodent
and NHP models have been utilized to recapitulate various aspects of human disease. Among
these models, aerosol infection of the cynomolgus macaques can produce alterations in blood
chemistry and hematology, febrile illness, viremia, neurological disease, and lethality [13–15].
However, the data in the model are limited and requires further examination to gain insights
into EEEV clinical disease course and pathogenesis. In this study, we investigated disease
course in the cynomolgus macaque model following an aerosol challenge with EEEV utilizing
state of the art telemetry to measure clinical signs including temperature, activity, respiration,
heart rate, blood pressure, electrocardiogram (ECG), and electroencephalography (EEG).
Materials and methods
Ethics statement
This work was supported by an approved USAMRIID Institute Animal Care and Use Com-
mittee (IACUC) animal research protocol. Research was conducted under an IACUC
approved protocol in compliance with the Animal Welfare Act, PHS Policy, and other Federal
statutes and regulations relating to animals and experiments involving animals. The facility
where this research was conducted is accredited by the Association for Assessment and
Accreditation of Laboratory Animal Care (AAALAC International) and adheres to principles
stated in the Guide for the Care and Use of Laboratory Animals, National Research Council,
2011 [16].
Virus and cells
Eastern equine encephalitis virus isolate V105-00210 was obtained from internal USAMRIID
collection. The virus (Vero-1) was received from the Centers for Disease Control and Preven-
tion (CDC) Fort Collins, CO [17]. The virus stock was passed in Vero-76 cells (American Type
Culture Collection, ATCC; Bethesda, MD) twice for the production of Master (Vero-2) and
Working (Vero-3) virus stocks. The virus stock was deep sequenced to verify genomic
sequence and to ensure purity. In addition, the stock was tested and determined to be negative
for both endotoxin and mycoplasma.
Vero-76 cells were propagated at 37˚C with 5% CO2 in Dulbecco’s Minimal Essential
Medium (DMEM) (CellGro) containing 2% (v/v) fetal bovine serum (FBS) (Hyclone), sodium
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PLOS NEGLECTED TROPICAL DISEASESUtilization of advance telemetry in cynomolgus macaques infected with EEEV
pyruvate (1 mM) (CellGro), 1% (v/v) non-essential amino acids (CellGro), and 50 μg/mL gen-
tamicin (Invitrogen).
Nonhuman primate study design
Four (2 males, 2 females) cynomolgus macaques (Macaca fascicularis) of Chinese origin ages
5–8 years and weighing *3–9 kg were obtained (Covance). All NHPs were prescreened and
determined to be negative for Herpes B virus, simian T-lymphotropic virus 1, simian immuno-
deficiency virus, simian retrovirus D 1/2/3, tuberculosis, Salmonella spp., Campylobacter spp.,
hypermucoviscous Klebsiella spp., and Shigella spp. NHPs were also screened for the presence
of neutralizing antibodies to EEEV, VEEV IAB, and WEEV by plaque reduction neutralization
test (PRNT80).
Telemetry devices and data collection
All NHPs were implanted with devices by Covance/DSI and 4-weeks post-implantation the
NHPs were transported to USAMRIID. NHPs were implanted with a Data Sciences Interna-
tional (DSI) PhysioTel Digital M11 and two DSI PhysioTel Digital M01 implants. Each M01
device was dedicated to each hemisphere of the brain to measure EEG activity. The devices
were implanted at left and right scapula and the leads were placed intracranially. The M11
implant was utilized to measure temperature, activity, respiration and heart rates, blood pres-
sure, and ECG. Following implantation, the NHPs completely recovered after 2–4 weeks.
Implanted animals were placed in individual cages with a single DSI TRX-1 receiver per
cage with additional TRX-1 receivers placed in the study room for redundancy. These receivers
were connected via Cat 5e cable to communication link controllers. The digital data was
routed to data acquisition computers, which captured and archived the digital data using the
Notocord-hem Evolution software platform (Version 4.3, Notocord Inc., Newark, NJ).
The telemetry devices were activated in the NHPs and pre-challenge baseline values for
each parameter (temperature, activity, respiration, heart rate, blood pressure, ECG, and EEG)
were obtained for five days. All physiological parameters were sampled at various rates; activity
and temperature (1 Hz), blood pressure and ECG (500 Hz), and EEG (1,000 Hz). Respiration
and heart rates were derived utilizing NOTOCORD software (NOTOCORD Systems, Instem
Company, Le Pecq, France). EEG analysis was performed using NeuroScore software version
3.1 (Data Sciences International, St. Paul, Minnesota, USA).
Establishing baseline for each physiological parameter
To establish a baseline of each parameter for individual animals, telemetry data was collected
continuously for five days prior to challenge. Data for each animal and parameter was utilized
to generate a 0.5-hr interval by averaging up to 1,800 data points. Subsequently, a 48-point ref-
erence baseline for a 24-hr period was generated by averaging time-matched five previously
calculated baseline values. Baseline 0.5-hr averages and standard deviations (SD) were gener-
ated. Analysis was also performed in 12-hr day/nighttime intervals. Daytime and nighttime are
defined as 6 am to 6 pm and 6 pm to 6 am, respectively. To generate a 12-hr average, all raw
data points with respective times were averaged to generate each day/nighttime values. All
comparisons between pre- and post-challenge were time matched.
Following determination of baseline values, NHPs were challenged with a target dose of 7.0
log10 PFU of EEEV via the aerosol route. The NHPs were observed for signs of clinical disease
and data for each parameter (temperature, activity, respiration and heart rates, blood pressure,
ECG, and EEG) was obtained. Time-matched comparisons were made between pre-challenge
baseline and post-challenge values.
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PLOS NEGLECTED TROPICAL DISEASESUtilization of advance telemetry in cynomolgus macaques infected with EEEV
Aerosol challenge
NHPs were exposed to the target inhalation dose of 7.0 log10 PFU of EEEV in the head-only
Automated Bioaerosol Exposure System (ABES-II). The virus stock at 9.3 log10 PFU/mL was
diluted to 9.0 log10 PFU/mL and utilized in the nebulizer. The inhalation challenge was gener-
ated using a Collison Nebulizer to produce a highly respirable aerosol (flow rate 7.5±0.1 L/
minute). The system generated a target inhalation of 1 to 3 μm mass median aerodynamic
diameters determined by TSI Aerodynamic Particle Sizer. Samples of the pre-spray suspension
and inhalation collected from the exposure chamber using an all-glass impinger (AGI) during
the challenge were analyzed by plaque assay to determine the inhaled PFU. The inhalation
challenge dose for each NHP was calculated from the minute volume determined with a
whole-body plethysmograph box using Buxco XA software. The total volume of inhaled dose
was determined by the exposure time required to deliver the estimated inhaled dose. Individ-
ual NHPs were challenged successively in the ABES-II.
Post-exposure monitoring and score criteria
NHP observations began five days prior to aerosol exposure to obtain baseline data. Following
aerosol challenge all NHPs were monitored daily via continuous 24-hr remote monitoring to
limit room entries. Clinical signs of disease were observed and a score for each NHP was deter-
mined by evaluating three parameters; neurological score, temperature, and responsiveness
score. The neurological score scale was as follows: 0 = normal; 1 = mild and infrequent trem-
ors, 2 = hyperactivity, infrequent tremors, 3 = constant and repetitive tremors, and 10 = unre-
sponsive. Temperature score scale was as follows; 0 = normal baseline, 1 = 1˚C above or
below baseline, 2 = 2˚C above or below baseline, 3 = 3˚C above or below baseline, 10 = 4˚C
above or below baseline. Responsive score scale was as follows; 0 = normal, 1 = mild unre-
sponsiveness, 2 = moderate unresponsiveness, 3 = severe unresponsiveness, and 10 = unre-
sponsive. NHPs with a total score �10 met the euthanasia criteria.
Tissue preparation
All tissues and fluids were collected at the time of euthanasia and frozen. For quantification of
virus, frozen samples of brain (frontal cortex), olfactory bulb, cervical spinal cord, and heart
were thawed, weighed, and suspended in 1X PBS to generate 10% (w:v) tissue suspensions
using a Mixer Mill 300 (Retsch, Haan, Germany). Tissue homogenates were centrifuged at
5,000 x g for 5 mins and clarified supernatants were used immediately for plaque assay as
described below. Cerebral spinal fluid (CSF), plasma, and serum samples were thawed and
used immediately in plaque assays.
Plaque assay
ATCC Vero 76 cells were seeded overnight on 6-well tissue culture plates to achieve 90–95%
confluence. Triplicate wells were infected with 0.1-ml aliquots from serial 10-fold dilutions in
Hanks’ Balanced Saline Solution (HBSS) and virus was adsorbed for 1 hr at 37˚C, 5% CO2.
After incubation, cells were overlaid with Eagle’s Basal Medium (BME) (Gibco A15950DK)
containing 0.6% agarose supplemented with 10% heat-inactivated FBS, 2% Penicillin/Strepto-
mycin (10,000 IU/mL and 10,000 μg/mL, respectively), and incubated for 24 hr at 37˚C, 5%
CO2. A second agarose overlay, prepared as described above, containing 5% neutral red vital
stain (Gibco 02-0066DG) was added to the wells and incubated for 18–24 hr for visualization
of plaques. Plaques were counted and expressed in either plaque forming units (PFU) per mL
(PFU/mL) or PFU/g of tissue.
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Plaque reduction neutralization test (PRNT80)
Serum samples were heat-inactivated at 56˚C for 30 mins. Samples were serially diluted 2-fold
starting at 1:10 and were mixed with equal volumes of medium containing ~2,000 PFU/mL of
virus and incubated at 37˚C, 5% CO2. Following incubation, six-well plates containing mono-
layers of Vero-76 cells were infected with 100μL of virus-serum mixtures in triplicates and incu-
bated at 37˚C, 5% CO2 for ~1 hr. Following incubation, a secondary agarose overlay containing
5% neutral red vital stain was added to the wells and incubated for ~24 hr for visualization of
plaques. Plaques were counted, PRNT titers were calculated and expressed as the reciprocal of
serum dilution yielding a >80% reduction (PRNT80) in the number of plaques. The limit of
detection in PRNT80 assay is <1:20. All samples were analyzed three times in the assay.
Statistics
All comparisons between pre- and post-challenge were time matched. GraphPad Prism ver-
sion 7.00 for Windows (GraphPad Software, La Jolla, California, USA) software was utilized
for statistical analysis. Significant differences in each parameter were determined using one-
way ANOVA followed by a Tukey Test.
Results
EEEV challenge study design, survival, and detection of infectious virus in
tissues at terminal time point
Four macaques (2 males and 2 females) were implanted with telemetry devices to continuously
and simultaneously monitor physiological parameters for the duration of the study. Baseline
for each parameter in each NHP was determined by obtaining data for five daytime and night-
time cycles. Following establishment of baseline, the NHPs were challenged via the aerosol
route with EEEV V105 strain at a target dose of 7.0 log10 PFU (Fig 1). The NHPs received a
virus dose ranging between 6.4–6.8 log10 PFU (Fig 2A). Following challenge, the NHPs were
observed for signs of clinical disease and each NHP was assigned a score comprising of alter-
ations in temperature, responsiveness, and neurological signs. NHPs with a score of ten or
higher met the euthanasia criteria. All NHPs exhibited signs of clinical disease by ~48–72
hours post-infection (hpi) (S1 Fig). NHP #1 and #2 exhibited rapid increase in scores and met
the euthanasia criteria by ~106–120 hpi (Figs 2B and S1). The two remaining NHPs displayed
a similar initial rise in scores, followed by a transient decline and a rapid progression to severe
disease at ~140 hpi (Figs 2B and S1).
Various NHP tissues were collected at the time of euthanasia and EEEV was quantitated via
plaque assay. Virus was titrated from samples including serum, plasma, brain (frontal cortex),
olfactory bulb, cervical spinal cord, and heart of each NHP (Fig 3). Cerebrospinal fluid (CSF)
was collected and titrated for NHPs #1 and #2 (Fig 3). Infectious virus was detected in serum
and plasma of only NHP #1 with titers of ~3.5 and ~3.2 log10 PFU, respectively (Fig 3). In con-
trast, EEEV was detected in brain and olfactory bulb in all four NHPs with titers ranging from
~4.1 to ~7.9 log10 PFU (Fig 3). The cervical spinal cord of NHP #2 and #4 had virus titers of
~7.6 and ~4.1 log10 PFU, respectively (Fig 3). Virus was detected in the heart tissue of only one
NHP (NHP #3) with a titer of ~4.0 log10 PFU (Fig 3). Lastly, the virus was present in CSF of
NHP #1 and #2 with titers of ~5.9 and ~5.5 log10 PFU, respectively (Fig 3).
Alteration of animal behavior
The NHPs were observed were continuously monitoring with limited disruptions due to
human activity. This provided a rare opportunity to study the impact of EEEV infection on
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PLOS NEGLECTED TROPICAL DISEASESUtilization of advance telemetry in cynomolgus macaques infected with EEEV
Fig 1. Experimental design of the NHP study. All parameters were continuously and simultaneously measured throughout the study. Baseline was
established for each parameter for an individual NHP by measuring 5 daytime (6 am-6 pm) and nighttime (6 pm– 6 am). All comparisons of post-
challenge data was time-matched to pre-challenge baseline.
https://doi.org/10.1371/journal.pntd.0009424.g001
animal behavior and determine the onset of neurological signs. The baseline behavior was
determined for five days prior to challenge for each individual NHP for day and night times.
Daytime and nighttime were defined as 6 am to 6pm and 6pm to 6 am, respectively. Alteration
of animal behavior were evaluated by observing three parameters; sleep, activity, and food/
fluid consumption. Alteration of the circadian rhythm could be detected as early as 24 hpi in
NHP #4 and ~42–54 hpi in the remaining three NHPs (S1 Table). The disruption of circadian
rhythm was characterized by a decrease in sleep at night with a concomitant increase in night-
time activity (S1 Table). The following daytime period was characterized by a decrease in day-
time activity with short periods of sleep (S1 Table). However, following the onset of clinical
signs, all NHPs exhibited a rapid progression to no or minimal sleep for the remainder of the
study (S1 Table). Similar to sleep, food/fluid consumption also decreased between ~43–90 hpi
in three of the four NHPs with minimal food/fluid consumption ~15–36 hrs prior to euthana-
sia. Lastly, the onset of overt seizures was observed within last ~7 hrs of the study in three of
the four NHPs (S1 Table).
Neutralizing antibody response
The presence of neutralizing antibodies was measured via PRNT80 at days -7, 0, and terminal
time points (S2 Table). None of the NHPs had detectable neutralizing antibody titers prior to
or at the time of challenge and were assigned the limit of detection of the assay (<1:20)
(S2 Table). At the time of euthanasia, NHPs #1 and #2 did not have any detectable neutralizing
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Fig 2. Administered aerosol EEEV dose (A) and survival of the NHPs (B).
https://doi.org/10.1371/journal.pntd.0009424.g002
antibody response (S2 Table). In contrast, both NHP #3 and #4 had PRNT80 titers of 1:40 and
1:80, respectively (S2 Table).
Temperature
The baseline temperature was determined for each NHP for five days and data was analyzed in
0.5- (Fig 4A) and 12-hr (Fig 4B) intervals. All post-challenge comparisons were time-matched
to pre-challenge baseline values. The average temperature prior to challenge ranged from
~36.3–38˚C (Fig 4A). Following challenge, an increase in temperature was observed within
~26–56 hpi in all four NHPs (Fig 4A, S3 Table). The onset of fever (>1.5˚C above baseline)
was at ~53–61 hpi and it remained considerably elevated for duration of ~47–53 hrs (Fig 4A,
S3 Table). The peak temperature ranged from 40.1–41˚C, and peak magnitude of fever ranged
from ~3.0–4.2˚C and ~2.2–3.8˚C for 0.5- and 12-hr interval analyses, respectively (Fig 4A and
4B, S3 Table). In both analyses, NHPs displayed the highest elevation in temperature at night
time (Fig 4A and 4B). Three of the NHPs exhibited hyperpyrexia (>3.0˚C above baseline) for a
duration of ~11–22 hrs (Fig 4A and 4B). Following the sustained fever, a decline in tempera-
ture was observed in the last ~10–24 hrs prior to euthanasia in all four NHPs (Fig 4A). NHPs
#3 and 4 exhibited a rapid decline in temperature ~4–6 hrs prior to euthanasia with NHP #3
displaying a decline of 3.3˚C (Fig 4A).
Respiration rate
Similar to temperature, respiration rate was analyzed in 0.5- (Fig 5A) and 12-hr (Fig 5B) inter-
vals. The baseline respiration rate for each NHP ranged from ~15–32 breaths per minute
(bpm) (Fig 5A). Following challenge, an increase in respiration rate was observed starting at
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Fig 3. Quantitation of infectious EEEV in NHP tissues collected at the time of euthanasia. The time of tissue collection for each NHP is provided in the
x-axis. Limit of detection of plaque assay is 1.0 log10 PFU/mL or 1.0 log10 PFU/g and are indicated by a dashed line.
https://doi.org/10.1371/journal.pntd.0009424.g003
24 hpi in all NHPs (Fig 5A and 5B). However, in contrast to temperature, the respiration rate
displayed intermittent increase/decrease throughout first 96 hpi (Fig 5A). Sustained increase
was observed at 100–112 hpi in all four NHPs, however the duration and magnitude of the
increase differed considerably (Fig 5A). In NHPs #1 and #2, the sustained increase was
observed ~3–8 hrs prior to euthanasia with peak respiration rate of 31–38 bpm, an increase of
~56–71% or ~17–22% in 0.5- and 12-hr interval analysis, respectively (Fig 5A and 5B). In con-
trast, NHPs #3 and #4 experienced considerably higher peak respiration rate of ~49–50 bpm
for a duration of ~32–40 hrs (Fig 5A and 5B). At peak, the percent increase in respiration rate
in 0.5- and 12-hr interval analysis ranged from ~105–128% and ~85–95%, respectively (Fig 5A
and 5B).
Activity
The activity of each NHP was analyzed in 6- (Fig 6A) and 12-hr (Fig 6B) intervals for both day-
time and nighttime periods. Daytime activity differed markedly in the four NHPs. The average
daytime activity for NHP #1 and #3 ranged from ~803–1704 units/6hrs, whereas the range for
remaining two NHPs was ~410–505 units/6hrs (Fig 6A). Alteration in daytime activity could
be observed within ~36–102 hpi with considerable decline in all NHPs at ~12–36 hrs prior to
euthanasia (Fig 6A). The highest magnitude of decline was in NHP #1 and #3 with values of
~754–1303 units/6hrs, a decline of ~69–76% (Fig 6A). A 12-hr daytime interval analysis
showed a sustained decline in activity ranging from ~64–73% in both NHPs (Fig 6B). NHP #2
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PLOS NEGLECTED TROPICAL DISEASESUtilization of advance telemetry in cynomolgus macaques infected with EEEV
Fig 4. Body temperature of NHPs pre- and post-EEEV challenge. Data analysis is shown in 0.5- (A) and 12-hr (B) daytime/nighttime intervals. All NHPs
were continuously monitored pre- and post-challenge. Pre-challenge baseline temperature was measured for five day/night cycles and a 0.5-hr interval
baseline average was calculated by averaging raw data of five time-matched day or night time intervals. Forty-eight 0.5-hr interval averages were used to
construct a baseline temperature for a day/night cycle and is shown as a grey line (A). Post-challenge values within �3 standard deviations (SD) are
indicated with (
). Hyperpyrexia is indicated by (
Temperature change in a 12-hr interval is shown in grey (daytime) and in black (nighttime) (B). All raw data from either 12-hr daytime or nighttime
intervals were averaged and normalized. The last data point for NHP #3 and #4 is an average of 8 hrs (B).
), and >3 SD below baseline are indicated with (
), >3 SD above baseline are indicated with (
) (A).
https://doi.org/10.1371/journal.pntd.0009424.g004
and #4 exhibited a decline in daytime activity ranging ~62–118 units/6hrs, a decline of ~15–
23% and a sustained decline of ~11–20% in the 12-hr interval analysis, respectively (Fig 6B).
The baseline nighttime activity of all four NHPs was comparable, ranging from 333–383
units/6hrs (Fig 6A). Similar to daytime activity, a substantial increase in nighttime activity was
observed as early as 24 hpi in NHP #4 and at 6–48 hrs prior to euthanasia in the other three
NHPs (Fig 6A). Both 6- and 12-hr analysis showed an increase of ~5–22% and ~3–14%,
respectively (Fig 6A and 6B). The considerable increase in nighttime activity was further cor-
roborated via continuous monitoring (S1 Table).
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Heart rate
The baseline heart rate in NHPs ranged from ~60–150 bpm (Fig 7A). Following challenge,
intermittent alterations were observed within ~24 hpi in all four NHPs (Fig 7A). Elevation in
nighttime heart rate was observed within ~56 hpi followed by a return to normal daytime base-
line values (Fig 7A). Sustained elevated heart rate was observed ~79–105 hpi that peaked at
~24–42 hrs prior to euthanasia with values of ~185–243 bpm (Fig 7A). The peak elevations
from baseline ranged from ~67–190% and ~60–134% in 0.5- and 12-hr interval analysis,
respectively (Fig 7A and 7B).
Fig 5. Respiration rate of NHPs pre- and post-EEEV challenge. Data analysis is shown in 0.5- (A) and 12-hr (B) daytime/nighttime intervals. All NHPs
were continuously monitored pre- and post-challenge. Pre-challenge baseline respiration rate was measured for five day/night cycles and a 0.5-hr interval
baseline average was calculated by averaging raw data of five time-matched day or night time intervals. Forty-eight 0.5-hr interval averages were used to
construct a baseline respiration rate for a day/night cycle and is shown as a grey line (A).Post-challenge values within �3 standard deviations (SD) are
indicated with (
interval is shown in grey (daytime) and in black (nighttime) (B). All raw data from either 12-hr daytime or nighttime intervals were averaged and
normalized. The last data point for NHP #3 and 4 is an average of 8 hrs (B). p-values �0.03 are indicated with �. bpm = breaths per minute.
), and >3 SD below baseline are indicated with (
), >3 SD above baseline are indicated with (
). Percent change from baseline in 12-hr
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Fig 6. Measurement of activity in NHPs pre- and post-EEEV challenge. Data analysis is shown in 6- (A) and 12-hr (B) daytime/nighttime intervals. All
NHPs were continuously monitored pre- and post-challenge. Pre-challenge baseline activity was measured for five day/night cycles and a 6-hr interval
baseline average was calculated by averaging raw data of five time-matched day or night time intervals. Four 6-hr interval averages were used to construct a
baseline activity for a day/night cycle and is shown as a grey line (A). Post-challenge values within �3 standard deviations (SD) are indicated with (
), >3
SD above baseline are indicated with (
). Percent change from baseline in 12-hr interval is shown in grey
(daytime) and in black (nighttime) (B). All raw data from either 12-hr daytime or nighttime intervals were averaged and normalized. The last data point for
NHP #3 and 4 is an average of 8 hrs (B). p-values �0.041 are indicated with �.
), and >3 SD below baseline are indicated with (
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Blood pressure
The baseline systolic and diastolic blood pressure values ranged from ~90–116 and ~58–87
mm Hg, respectively (Figs 8A and 9A). Following challenge, both systolic and diastolic pres-
sure intermittently increased within 24 hpi followed by a sustained elevation at ~54–76 hpi for
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Fig 7. Heart rate of NHPs pre- and post-EEEV challenge. Data analysis is shown in 0.5- (A) and 12-hr (B) daytime/nighttime intervals. All NHPs were
continuously monitored pre- and post-challenge. Pre-challenge baseline heart rate was measured for five day/night cycles and a 0.5-hr interval baseline average
was calculated by averaging raw data of five time-matched day or night time intervals. Forty-eight 0.5-hr interval averages were used to construct a baseline
heart rate for a day/night cycle and is shown as a grey line (A).Post-challenge values within �3 standard deviations (SD) are indicated with (
baseline are indicated with (
and in black (nighttime) (B). All raw data from either 12-hr daytime or nighttime intervals were averaged and normalized. The last data point for NHP #3 and
4 is an average of 8 hrs (B). p-values �0.035 are indicated with �. bpm = beats per minute.
), >3 SD above
). Percent change from baseline in 12-hr interval is shown in grey (daytime)
), and >3 SD below baseline are indicated with (
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a duration of ~48–80 hrs (Figs 8A and 9A). At peak, both systolic and diastolic pressures ran-
ged from ~153–180 and ~102–128 mm Hg, respectively (Figs 8A and 9A). The peak systolic
pressure values in 0.5-hr and 12-hr intervals represent percent increases of ~44–67% and ~35–
57%, respectively (Fig 8A and 8B). Similarly, peak diastolic pressure values in 0.5-hr and 12-hr
analysis ranged from ~45–80% and ~38–65%, respectively (Fig 9A and 9B).
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Fig 8. Systolic blood pressure of NHPs pre- and post-EEEV challenge. Data analysis is shown in 0.5- (A) and 12-hr (B) daytime/nighttime intervals. All
NHPs were continuously monitored pre- and post-challenge. Pre-challenge baseline systolic blood pressure was measured for five day/night cycles and a
0.5-hr interval baseline average was calculated by averaging raw data of five time-matched day or night time intervals. Forty-eight 0.5-hr interval averages
were used to construct a baseline systolic blood pressure for a day/night cycle and is shown as a grey line (A). Post-challenge values within �3 standard
deviations (SD) are indicated with (
). Percent change
from baseline in 12-hr interval is shown in grey (daytime) and in black (nighttime) (B). All raw data from either 12-hr daytime or nighttime intervals were
averaged and normalized. The last data point for NHP #3 and 4 is an average of 8 hrs (B). p-values �0.028 are indicated with �.
), and >3 SD below baseline are indicated with (
), >3 SD above baseline are indicated with (
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ECG
Intermittent changes in ECG were observed in all four NHPs following challenge as early as
6–12 hpi (S2 and S3 Figs). As expected, the sustained elevation in heart rate at ~48–72 hpi led
to reduction in QTc Bazett, RR, PR, and QRS duration (S2 and S3 Figs). However, 24 hrs prior
to euthanasia multiple abnormalities were observed. An increase in QRS duration was
observed for ~19 hrs with peak increase of ~11 msec in NHP #1 (S2 Fig). An increase in QTc
Bazett was observed in three of the four NHPs (#1, 2, and 4) for duration of ~4–12 hrs with
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Fig 9. Diastolic blood pressure of NHPs pre- and post-EEEV challenge. Data analysis is shown in 0.5- (A) and 12-hr (B) daytime/nighttime intervals. All
NHPs were continuously monitored pre- and post-challenge. Pre-challenge baseline diastolic blood pressure was measured for five day/night cycles and a
0.5-hr interval baseline average was calculated by averaging raw data of five time-matched day or night time intervals. Forty-eight 0.5-hr interval averages were
used to construct a baseline diastolic blood pressure for a day/night cycle and is shown as a grey line (A). Post-challenge values within �3 standard deviations
(SD) are indicated with (
). Percent change from baseline in
12-hr interval is shown in grey (daytime) and in black (nighttime) (B). All raw data from either 12-hr daytime or nighttime intervals were averaged and
normalized. The last data point for NHP #3 and 4 is an average of 8 hrs (B). p-values �0.023 are indicated with �.
), and >3 SD below baseline are indicated with (
), >3 SD above baseline are indicated with (
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peak increase ranging from ~22–44 msec (S2 Fig). The ECG of NHPs #1, 3, and 4 displayed
either intermittent or sustained elongation of PR duration (S3 Fig). NHP #4 displayed an elon-
gation in PR duration for ~6 hrs with a peak increase of ~24 msec prior to euthanasia (S3 Fig).
Alteration of T wave morphology and a decline (~1.5 mV) in the magnitude of QRS complex
were both observed in NHP #2 (Fig 10). Lastly, both NHPs #1 and 4 displayed sinoatrial arrest
in the last 24-hrs prior to euthanasia (Fig 10).
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Fig 10. ECG abnormalities in EEEV infected NHPs 24 hrs prior to euthanasia. Representative ~5 second intervals of pre- and post-EEEV challenge are
shown.
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Quantitative EEG
The EEG data for each NHP pre- and post-challenge are shown as heat maps (Figs 11 and 12).
Six night and five day 12-hr intervals were used to generate a pre-challenge heat map for each
NHP. In all four NHPs, the baseline heat map displayed similar patterns with the majority of
values between -50 to +50%. An increase in gamma waves were observed during the daytime
(generally around anticipated feeding periods and increased human activity due to arrival of
NHPs in biocontainment and one day prior to challenge) in all four NHPs during the pre-chal-
lenge period attributed to electromyographic artifacts. However, post- challenge distinct pat-
terns could be observed rapidly in all NHPs.
NHP #1 displayed an increase in the individual frequencies comprising of the beta and
gamma power bands at nighttime within ~15 hr post-challenge with maximal increases of
~1,300% and ~5,200%, respectively (Fig 11). The next ~6–10 hrs were characterized by
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Fig 11. Pre- and post-EEEV challenge quantitative electroencephalography (qEEG) heat maps of NHPs #1 and #2. The top and bottom x-axes display
brain waves [(delta (δ), theta (θ), alpha (α), sigma (σ), and gamma (γ)] and frequency in hertz (Hz), respectively. The left and right y-axes display time (hr)
and 12-hr day/night time intervals, respectively. 12-hr nighttime is indicated by (▐ ) and daytime by a gap. Pre-EEEV challenge baseline (left) and post-EEEV
challenge (right) heat maps are shown.
https://doi.org/10.1371/journal.pntd.0009424.g011
increases of up to ~800, 400, and 600% in the theta, alpha, and sigma bands, respectively, dur-
ing the daytime while the NHP was awake. These increases were followed by a decline in all
frequencies to near or below basal levels for ~6 hrs during the daytime (Fig 11). This pattern
continued into the second night with a general increase of up to ~2,700% across all individual
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frequencies within the gamma band and ~1,200% across all other frequencies (Fig 11). At 48
hpi, a prolonged decline of up to 93% was observed across all frequencies during the daytime
(Fig 11). The third night was characterized by intermittent increases in high frequencies within
the gamma band, however, a sustained increase of up to ~250% in all other brain waves was
observed including low gamma frequencies (Fig 11). An increase of up to 6,800% in gamma
frequencies was observed in the first ~3 hrs of the next daytime, followed by a sustained
decline to below time-matched basal values (Fig 11). The decrease in gamma frequencies was
accompanied by a simultaneous increase in theta, alpha, sigma, and low beta frequencies (in
an awake NHP) with the alpha frequencies displaying the most pronounced increase with val-
ues exceeding 1,000% (Fig 11). The fourth night displayed similar patterns as the previous
night with sustained increase in alpha frequencies of ~600% (Fig 11). The last daytime for this
NHP was characterized by a considerable and sustained decline in delta and gamma bands to
at or below basal values, with a simultaneous increase in theta, alpha, sigma, and beta frequen-
cies (Fig 11). The magnitude of the latter waves ranged from ~80–1,400%, with alpha band dis-
playing the largest increases (Fig 11).
NHP #2 displayed a similar pattern as NHP #1 with an early increase in the individual beta
and gamma frequencies within ~12 hpi ranging from ~300 to 3,000% (Fig 11). This was fol-
lowed by an elevation in delta, theta, alpha, and sigma frequencies during the daytime with
increases of up to ~100 to 700% relative to time-matched baseline values (Fig 11). Concomi-
tant to the rise in low frequencies, a decline to at or near baseline values was observed in
both beta and gamma bands (Fig 11). This pattern continued into 24-hr period, however,
the daytime displayed a sustained decline of both beta and gamma bands followed by an
increase of up to ~750% in beta waves (Fig 11). The third night was characterized by increases
in alpha, sigma, beta, and high gamma frequencies with increases of up to 2,100% in an awake
NHP (Fig 11). The next daytime exhibited a prolonged decline in delta, theta, and gamma
bands with a maximum reduction of nearly 99% from individual basal values (Fig 11).
In contrast, sigma and alpha frequencies displayed increases of up to 660% (Fig 11). The
fourth nighttime period exhibited a similar pattern to the previous nighttime. The next day-
time was characterized by prolonged and considerable decline of all individual spectral fre-
quencies to below baseline values (Fig 11). The last nighttime exhibited similar pattern to the
two previous night times. Five hours prior to euthanasia was characterized by decline in all
brain waves except delta and theta waves which had slight increases from ~42 to 370% in an
awake NHP.
NHP #3 predominately displayed an increase in gamma frequencies in the first three nights
and two daytimes with values exceeding 1,000% as compared to the time-matched baseline val-
ues (Fig 12). However, the third night also exhibited a rise in alpha, sigma, and beta frequen-
cies not exceeding a 250% increase (Fig 12). The following daytime was predominately
characterized by a prolonged and considerable decline in all individual frequencies to below
time-matched baseline values. The subsequent evening and night were largely characterized by
increases in alpha and gamma frequencies followed by an elevation in all frequencies except
delta waves (Fig 12). The next daytime displayed a substantial reduction in all frequencies
followed by a fifth nighttime with considerable increases in beta and gamma frequencies
(Fig 12). The last day for NHP #3 was characterized by rise in theta, alpha, sigma, and beta
waves in an awake NHP followed by a decline in all waves (Fig 12). The last nighttime showed
a prolonged rise in all waves particularly in delta, theta, alpha, and sigma, in an awake NHP
(Fig 12).
NHP #4 displayed an increase in both beta and gamma frequencies 12 hpi that continued
for most of the nighttime and daytime following challenge (Fig 12). Surprisingly, elevation
in delta, theta, alpha, and sigma were also observed within 12 hpi and were sustained until
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Fig 12. Pre- and post-EEEV challenge quantitative electroencephalography (qEEG) heat maps of NHPs #3 and #4. The top and bottom x-axes display
brain waves [(delta (δ), theta (θ), alpha (α), sigma (σ), and gamma (γ)] and frequency in hertz (Hz), respectively. The left and right y-axes display time (hr)
and 12-hr day/night time intervals, respectively. 12-hr nighttime is indicated by (▐ ) and daytime by a gap. Pre-EEEV challenge baseline (left) and post-EEEV
challenge (right) heat maps are shown.
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108–120 hpi with peak increases up to 1,800% in an awake NHP (Fig 12). This sustained
increase over baseline was followed by a precipitous decline to below time-matched basal levels
in frequencies from all four power bands from 108–136 hpi (Fig 12). Several hours prior to
euthanasia, an increase in both delta and theta frequencies was observed (Fig 12).
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Fig 13. Timeline of events for NHP #1 3 hrs prior to euthanasia and profile of seizure events. Percent change in
EEG waves with +/- standard deviations (error bars) are shown.
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Clinical parameters of nhp #1 three hours prior to a cardiac event
NHP#1 had experienced considerable alterations of many important physiological parameters
(temperature, respiration, heart rate, blood pressure, ECG, and EEG) ~24–80 hrs prior to
euthanasia. In addition, there was substantial decline in sleep and food/fluid consumption
~40–52 hrs prior to euthanasia (S1 Table). During the last 3-hrs prior to euthanasia, NHP#1
experienced two seizures ~2 hrs apart (Fig 13). Both EEG seizure profiles showed involvement
of all brain waves with increases ranging from ~99% to ~368% (Fig 13). The time frame of
events occurred at the shift from daytime to nighttime, when the baseline values for each
parameter would naturally decline in healthy animals (Fig 14). Following the onset of the first
seizure, many of the parameters remained elevated and/or increased relative to baseline. The
comparison of peak respiration and heart rates to baseline ranged from 31 vs. 18 bpm and 187
vs. 65 bpm, respectively (Fig 14A and 14B). Similar peak increases were also observed for sys-
tolic and diastolic blood pressure relative to baseline with 180 vs.103 mmHg and 121 vs. 67
mmHg, respectively (Fig 14C and 14D). These elevations in parameters represent percent
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Fig 14. Alteration in respiration, heart rate, and systolic and diastolic blood pressure of NHP #1 3 hrs prior to euthanasia.
0.5-hr interval analysis (left) and percent change from baseline (right). The average for each time-matched 0.5 hr interval in
shown in grey.
https://doi.org/10.1371/journal.pntd.0009424.g014
increase from baseline of 71% (respiration rate), 190% (heart rate), 55% (systolic blood pres-
sure), and 80% (diastolic blood pressure) (Fig 14). Following the onset of two seizures, NHP
#1 experienced a cardiac event characterized by non-sustained ventricular tachycardia, fol-
lowed by sustained ventricular tachycardia, and finally ventricular fibrillation (Fig 15). Imme-
diately following the cardiac event, the NHP was euthanized.
Discussion
The susceptibility of cynomolgus macaques to North American lineage of EEEV via the aerosol
route has been explored previously with two isolates, FL91-4679 and FL-93939. Both isolates
were obtained from mosquito pools; Aedes albopictus (FL91-4679) and Culiseta melanura (FL-
93939) [14,15]. Aerosol exposure to either isolate at 107 PFU produced uniform disease and
NHPs met the euthanasia criteria within ~96–130 hpi [14,15]. In this study, we utilized an iso-
late from the brain tissue of a fatal human case in Massachusetts in 2005 [16,18]. The data
from our study are in agreement with two previous studies with all four NHPs meeting eutha-
nasia criteria by ~106–140 hpi [14,15]. Taken together, all three studies demonstrate that low
passage isolates of EEEV-NA lineage, irrespective of the isolation from mosquito and human
hosts, are uniformly lethal at 107 PFU dose via the aerosol route.
Two decades ago, Pratt and colleagues successfully utilized telemetry in biocontainment to
demonstrate continuous monitoring of temperature in NHPs following VEEV challenge [19].
This success led to incorporation of temperature in NHP studies for category A and B patho-
gens including Ebola, Marburg, VEEV, EEEV, and WEEV [14,15,19–29]. However, the tech-
nology of telemetry implants has advanced considerably and is now able to monitor many
important physiological parameters continuously and simultaneously in biocontainment. The
current devices can measure physiological parameters at 1–1,000 Hz and produce enormous
data sets ranging from 1,800 to 1,800,000 data points every 30 mins to describe a given param-
eter. Accordingly, the technology has substantial potential to improve animal model develop-
ment particularly for Risk Group 3 and 4 agents. This is the first of its kind study in
biocontainment to investigate clinical disease course of EEEV by implanting multiple devices
in a single NHP to continuously and simultaneously monitor temperature, activity, respira-
tion, heart rate, blood pressure, ECG, and EEG. All physiological parameters were altered con-
siderably post-challenge and all four NHPs met the euthanasia criteria rapidly. However, the
onset and sustained duration of each parameter differed considerably. Surprisingly, EEG was
the earliest parameter to change within ~12–36 hpi in all four NHPs, followed by temperature,
blood pressure, and activity/clinical signs at ~48–72 hpi, and all others �72 hpi.
In previous studies, only temperature and heart rate parameters have been explored
[14,15]. However, the heart rate data was limited as minimal baseline day/night time data was
provided and partial post-challenge data was reported [14,15]. In both previous studies, the
onset of sustained fever occurred ~48 hpi with peak increase in temperature ranging from 1.8–
3.5˚C, followed by a rapid decline prior to euthanasia [14,15]. The onset of sustained elevated
heart rate was between ~40–72 hpi with peak heart rate increase of ~40–130 bpm [14,15]. Our
temperature and heart rate data are in agreement with both of the previous studies.
Cynomolgus macaques are a prey species and to avoid the potential confounding effects of
prey response elicited by cage-side human observations, we utilized 24-hr continuous remote
monitoring to gain greater insight into alteration of macaque behavior and clinical
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Fig 15. ECG profile of the cardiac event in NHP #1. Representative baseline and cardiac event ECG graphs ~5
seconds in duration are shown.
https://doi.org/10.1371/journal.pntd.0009424.g015
manifestations post-EEEV infection. Disturbances in the circadian rhythm post-challenge
were observed as early as 24 hpi. The NHPs were observed staying awake and alert at night
time with a concomitant decrease in daytime activity accompanied by short periods of sleep.
The alteration in sleep/wake cycle was also accompanied by decrease in fluid and food intake,
followed by a rapid progression to minimal sleep, activity, and food/fluid consumption. The
substantial alteration of these parameters is likely to considerably exacerbate the observed clin-
ical signs in the terminal phase of infection. The weakness and lack of coordination observed
in the last 24 hrs prior to euthanasia may be in part due to the lack of nutrients, electrolyte
imbalances, and lack of sleep. Lastly, the continuous remote observation of the NHPs enabled
the study to accurately measure the onset of neurological disease. Seizures were observed in
three of the four NHPs, however, the on-set of seizures was very late in the disease, ~1–3 hrs
prior to euthanasia. Taken together, these data demonstrate that remote monitoring of animals
can substantially enhance the understanding of natural disease progression and should be
incorporated in the objective assessment of clinical disease in future NHP studies.
This study investigated ECG by measuring QTc Bazett, PR, RR, and QRS duration. These
intervals are dependent on the heart rate. As the heart rate increases or decreases the intervals
get shorter or longer, respectively [30]. Alterations in heart rate were observed as early as ~24
hpi and sustained increases were maintained through ~79–140 hpi. Consequently, the decrease
in the intervals are consistent with an increase in heart rate. A recent study measured QT and
RR intervals following EEEV infection via aerosol route [31]. A decrease in both intervals was
observed following onset of severe disease [31]. Our data are in agreement with this study.
However, there were ECG abnormalities detected within the last 24 hrs prior to euthanasia.
The NHPs displayed ECG abnormalities consisting of alterations in QRS and PR duration,
QTc Bazett, T wave morphology, amplitude of the QRS complex, and sinoatrial arrest. These
abnormalities are indicative of electrical conductivity issues in the heart and are associated
with ventricular arrhythmias [32]. In addition to these abnormalities, NHP #1 experienced a
critical cardiac event leading immediate euthanasia. This is the first evidence of life-threaten-
ing critical cardiac events as a consequence of EEEV infection. There are several potential
explanations for the cardiac abnormalities. First, the abnormalities may be due to EEEV infec-
tion of the myocardium and/or the pericardium [33–39]. EEEV infection of the myocardium
and subsequent degeneration of the spontaneously contracting cardiac muscle tissue has been
reported in equines, swine, and humans [40–42]. Second, the abnormalities could be due to
host inflammatory responses resulting in myocarditis and/or pericarditis [33–39]. QRS and
QT prolongation, ventricular arrhythmias, and T wave morphology changes have been
reported for viral infections such as Coxsackievirus, HIV, influenza A, HSV, and adenovirus
[32–39]. Third, the EEEV may target important autonomic control center such as the hypo-
thalamus, thalamus, and medulla oblongata and thus interfere with electrical conductivity of
the heart. Fourth, the electrolyte imbalance due to lack of food and fluid intake prior to meet-
ing the euthanasia criteria may exacerbate any of the explanations outlined above.
Many human EEEV infection cases are often misdiagnosed and/or diagnosed at the onset
of severe symptoms, and accordingly a detailed clinical disease course is not available for
human infection [40,43–57]. One important goal of animal model development is to gain
insights into progression of brain abnormalities leading to encephalitis. To achieve this goal,
we investigated EEG as a potential tool enabling continuous monitoring of the brain electrical
activity following challenge. EEG has been utilized previously to monitor human EEEV,
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WEEV, and VEEV infections [43–45,47,49–51,53,54,56,58–61]. The limited human EEG data
shows diffuse slowing particularly of delta, theta, and alpha and gamma waves [43–45,47,49–
51,53,54,56,58–61]. Similar to human data, severe diffuse slowing was observed in all four
NHPs post-EEEV challenge. The data in the present study is in agreement with previous
human EEG data. However, in addition to diffuse slowing, other gross abnormalities were also
observed. First, brain waves of all four NHPs displayed rapid and extreme fluctuations. In
NHP #3, a profound decrease in all brain frequencies of up to nearly 99% was observed at
~94–108 hpi, followed by an increase of over 600, 650, 2,500 and 6,300% in alpha, sigma, beta,
and gamma frequencies, respectively, for a duration of ~4–12 hrs. Similarly, NHP #4 displayed
an increase of ~230 to 3,500% in delta, theta, alpha, and/or sigma frequencies at ~84–108 hpi
followed by a near complete decline in all four waves for a duration of ~30 hr. Second, there
was a profound decrease in gamma frequencies of nearly 99% during the daytime that contin-
ued for up to ~10–15 hrs. Third, the presence of brain waves associated with sleep (delta, theta,
and alpha waves) in awake NHPs was observed. All three brain abnormalities are a sign of sig-
nificant brain injury and have been observed in human cases of viral encephalitis such as Japa-
nese encephalitis virus and Herpes simplex virus [62–67]. Further studies are underway to
characterize these profound alterations in the brain waves as well as the underlying mecha-
nism/s responsible for these abnormalities.
Traumatic brain injury (TBI) is defined as a non-degenerative and non-congenital insult to
the brain that results in temporary or permanent impairment of cognitive and physical func-
tions [68]. All four NHPs exhibited many signs associated with TBI such as disturbances in cir-
cadian rhythm, food/fluid consumption, inability to initiate or maintain a normal sleep
pattern, decrease overall activity, increased slow wave (delta, theta, and alpha) activity while
awake, and neurological signs [68–72]. These data strongly suggest that EEEV infection via
aerosol route can rapidly (~12–70 hpi) induce many signs of severe TBI. The potential mecha-
nism/s that underlie such rapid induction of TBI signs require further exploration.
The potential route of virus dissemination following aerosol infection has not been explored
previously [14,15]. The infectious virus in the present study was either minimal or not detected
in the periphery. In contrast, high level of infectious virus (>6.0 log10 PFU/g) was detected in
the olfactory bulb and the central nervous system (CNS) in all animals at the time of euthana-
sia. In addition, the physiological parameters measured in this study such as heart and respira-
tion rates, blood pressure, temperature, sleep/wake cycle, and hunger/satiety are controlled by
the autonomic nervous system (ANS). The rapid (~24–50 hpi) and considerable alteration of
these functions suggest that EEEV infection via the aerosol route likely enables direct access to
the ANS via the neuronal projections between the olfactory bulb and the critical control cen-
ters such as the thalamus, hypothalamus, and the brainstem. Taken together these data suggest
that following aerosol infection the virus spreads and infects the CNS and ANS producing
injury to substantially disrupt animal behavior and the control of critical physiological param-
eters to produce severe disease. However, this hypothesis requires further investigation to elu-
cidate the potential mechanism.
The clinical scores in of NHPs displayed two distinct patterns, a rapid rise (NHPs #1–2) or
biphasic pattern with an initial rise followed by a decline (NHPs #3 and 4). The clinical score is
comprised of neurological disease, temperature, and responsiveness. The initial rise in clinical
scores of NHPs #3 and 4 were mainly due to alteration in both temperature and responsive-
ness. However, the temperature declined between 90–110 hpi and the responsiveness
improved to yield lower clinical scores. Nonetheless, both NHPs rapidly progressed to meet
the euthanasia criteria (clinical score = 10). Surprisingly, the temperature rapidly declined to
below baseline and both NHPs exhibited hypothermia ~1–3 hrs prior to euthanasia. These
data suggest both NHPs likely were unable to regulate body temperature and support the
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PLOS NEGLECTED TROPICAL DISEASESUtilization of advance telemetry in cynomolgus macaques infected with EEEV
hypothesis of ANS dysregulation above. The data also highlight the rapid progression to termi-
nal disease of EEEV infected NHPs.
Neutralizing antibodies are generally considered to be a correlate of protection against
alphavirus infection [73–78]. However, two NHPs in this study had neutralizing antibody at
the time of euthanasia. One potential explanation is that EEEV infection and subsequent injury
to the brain tissue is rapid and profound via the aerosol route, and by the time the neutralizing
antibody response is generated it has minimal or no efficacy. This is supported by previous
vaccine studies in cynomolgus macaques with similar rapid aerosol infection kinetics of EEEV
[13,15]. In both studies, NHPs generated neutralizing antibody responses post-vaccination
and yet met the euthanasia criteria following challenge [13,15].
Previous studies in cynomolgus macaques with lethal aerosol EEEV have focused mainly
on five parameters (temperature, virus quantitation, hematological parameters, clinical dis-
ease, and lethality) for NHP model development [13–15]. This study provides six additional
parameters for countermeasure evaluation including activity, respiration and heart rates,
blood pressure, ECG, and EEG in a lethal challenge model. For this first study, we utilized the
most lethal of the three encephalitic alphaviruses, EEEV. Whether a similar alteration of these
parameters following aerosol challenge in NHPs can be produced with WEEV and VEEV or a
sub-lethal EEEV dose requires further investigation.
The FDA approval of medical countermeasures for Risk Group 3 and 4 agents will rely on the U.
S. Food and Drug Administration’s Animal Rule (21 CFR 601.90), which allows the utilization of
animals in pivotal efficacy studies to support licensure in lieu of human efficacy studies. The mea-
surement of clinical parameters via telemetry offers several advantages for animal model develop-
ment in this regard. First, the technology enables measurements of important clinical parameters
that are relevant to humans. Second, it enables identification of multiple parameters for rapid animal
model development and countermeasure evaluation in event of a natural outbreak and/or bioterror
event. The additional parameters may be particularly appealing for investigating and/or refining ani-
mal model development for partially lethal or non-lethal agents such as WEEV and MERS. Further-
more, the high sampling rate of the devices enables accurate and real-time (hourly/daily) evaluation
of countermeasures. Third, it can identify potential side effects of a countermeasure prior to its utili-
zation in human clinical trials. These are substantial advantages of utilization of advanced telemetry
in NHP animal models for Risk Group 3 and 4 agents and require further investigation.
In summary, we utilized state of the art telemetry to investigate important physiological
parameters in the cynomolgus macaque model following EEEV aerosol challenge. All parame-
ters measured, including 6 never-before examined including brain waves, were substantially
and rapidly (~12 hpi) altered post-challenge. These alterations were the earliest documented
signs of disease that were not readily observable without the use of physiological radio-telemetry
devices, and add possible additional endpoints to future efficacy experiments for EEEV in an
NHP model. This is the first detailed disease course of EEEV in an NHP model and the parame-
ters identified will improve animal model development and countermeasure evaluation.
Disclosure statement
The views expressed in this article are those of the authors and do not reflect the official policy
or position of the U.S. Department of Defense, or the Department of the Army.
Supporting information
S1 Fig. Clinical scores of NHPs post-EEEV challenge. Following aerosol challenge all NHPs
were monitored daily and NHPs with a total score �10 met the euthanasia criteria.
(TIF)
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PLOS NEGLECTED TROPICAL DISEASESUtilization of advance telemetry in cynomolgus macaques infected with EEEV
S2 Fig. QRS duration and QTc Bazett in NHPs pre- and post-EEEV challenge. Pre-chal-
lenge baseline QRS duration and QTc Bazett are shown in grey (A). All NHPs were continu-
ously monitored pre- and post-challenge. Pre-challenge baseline QRS duration and QTc
Bazett were measured for five day/night cycles and a 0.5-hr interval baseline average was calcu-
lated by averaging raw data of five time-matched day or night time intervals. Forty-eight
0.5-hr interval averages were used to construct baselines for QRS duration and QTc Bazett for
a day/night cycle and are shown as a grey line (A). Post-challenge values within �3 standard
deviations (SD) are indicated with (
), and >3
SD below baseline are indicated with (
(TIF)
), >3 SD above baseline are indicated with (
).
S3 Fig. RR and PR duration in NHPs pre- and post-EEEV challenge. Pre-challenge baseline
RR and PR duration are shown in grey (A). All NHPs were continuously monitored pre- and
post-challenge. Pre-challenge baseline RR and PR duration were measured for five day/night
cycles and a 0.5-hr interval baseline average was calculated by averaging raw data of five time-
matched day or night time intervals. Forty-eight 0.5-hr interval averages were used to con-
struct baselines for RR and PR duration for a day/night cycle and are shown as a grey line (A).
Post-challenge values within �3 standard deviations (SD) are indicated with (
above baseline are indicated with (
(TIF)
), and >3 SD below baseline are indicated with (
), >3 SD
).
S1 Table. Alteration in NHP behavior and onset of neurological signs post-EEEV chal-
lenge. NHP behavior comprised of food/fluid intake, sleep, activity, and onset of seizures were
monitored pre- and post-EEEV challenge. # = modest decline, ## = moderate decline, and ###
= severe decline. " = modest increase.
(TIF)
S2 Table. Neutralizing antibody response in terminal samples. Neutralizing antibody was
measured via PRNT80 assay. The limit of detection in PRNT80 assay is indicated by italic font
(<1:20). All samples were analyzed three times in the PRNT80 assay.
(TIF)
S3 Table. Summary of fever data in NHPs. Fever hours is calculated as the sum of the signifi-
cant temperature elevations. ΔTmax = maximum change in temperature.
(TIF)
Author Contributions
Conceptualization: William D. Pratt, Margaret L. Pitt, Farooq Nasar.
Formal analysis: Franco D. Rossi, Michael V. Accardi, Simon Authier, William D. Pratt.
Funding acquisition: Margaret L. Pitt, Farooq Nasar.
Investigation: John C. Trefry, Franco D. Rossi, Michael V. Accardi, Brandi L. Dorsey, Thomas
R. Sprague, Suzanne E. Wollen-Roberts, Joshua D. Shamblin, Adrienne E. Kimmel, Lynn J.
Miller, Anthony P. Cardile, Darci R. Smith, Sina Bavari, Simon Authier, William D. Pratt,
Farooq Nasar.
Methodology: John C. Trefry, Franco D. Rossi, Michael V. Accardi, Simon Authier, William
D. Pratt, Farooq Nasar.
Project administration: John C. Trefry, Margaret L. Pitt, Farooq Nasar.
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PLOS NEGLECTED TROPICAL DISEASESUtilization of advance telemetry in cynomolgus macaques infected with EEEV
Resources: Pamela J. Glass, Crystal W. Burke.
Supervision: Margaret L. Pitt, Farooq Nasar.
Writing – original draft: John C. Trefry, Farooq Nasar.
Writing – review & editing: John C. Trefry, Franco D. Rossi, Michael V. Accardi, Brandi L.
Dorsey, Thomas R. Sprague, Suzanne E. Wollen-Roberts, Joshua D. Shamblin, Adrienne E.
Kimmel, Pamela J. Glass, Lynn J. Miller, Crystal W. Burke, Anthony P. Cardile, Darci R.
Smith, Sina Bavari, Simon Authier, William D. Pratt, Margaret L. Pitt, Farooq Nasar.
References
1.
Forrester NL, Palacios G, Tesh RB, Savji N, Guzman H, Sherman M, et al. Genome-scale phylogeny of
the alphavirus genus suggests a marine origin. J Virol. 2012; 86(5):2729–38. https://doi.org/10.1128/
JVI.05591-11 PMID: 22190718; PubMed Central PMCID: PMC3302268.
2.
La Linn M, Gardner J, Warrilow D, Darnell GA, McMahon CR, Field I, et al. Arbovirus of marine mam-
mals: a new alphavirus isolated from the elephant seal louse, Lepidophthirus macrorhini. J Virol. 2001;
75(9):4103–9. https://doi.org/10.1128/JVI.75.9.4103-4109.2001 PMID: 11287559; PubMed Central
PMCID: PMC114155.
3. Nasar F, Palacios G, Gorchakov RV, Guzman H, Da Rosa AP, Savji N, et al. Eilat virus, a unique alpha-
virus with host range restricted to insects by RNA replication. Proc Natl Acad Sci U S A. 2012; 109
(36):14622–7. https://doi.org/10.1073/pnas.1204787109 PMID: 22908261; PubMed Central PMCID:
PMC3437828.
4. Villoing S, Bearzotti M, Chilmonczyk S, Castric J, Bremont M. Rainbow trout sleeping disease virus is
an atypical alphavirus. J Virol. 2000; 74(1):173–83. https://doi.org/10.1128/jvi.74.1.173-183.2000
PMID: 10590104; PubMed Central PMCID: PMC111526.
5. Weston JH, Welsh MD, McLoughlin MF, Todd D. Salmon pancreas disease virus, an alphavirus infect-
ing farmed Atlantic salmon, Salmo salar L. Virology. 1999; 256(2):188–95. https://doi.org/10.1006/viro.
1999.9654 PMID: 10191183.
6.
Fields BN, Knipe DM, Howley PM. Fields virology. 6th ed. Philadelphia: Wolters Kluwer Health/Lippin-
cott Williams & Wilkins; 2013.
7. Arrigo NC, Adams AP, Weaver SC. Evolutionary patterns of eastern equine encephalitis virus in North
versus South America suggest ecological differences and taxonomic revision. J Virol. 2010; 84
(2):1014–25. Epub 2009/11/06. https://doi.org/10.1128/JVI.01586-09 PMID: 19889755; PubMed Cen-
tral PMCID: PMC2798374.
8. Chen R, Mukhopadhyay S, Merits A, Bolling B, Nasar F, Coffey LL, et al. ICTV Virus Taxonomy Profile:
Togaviridae. J Gen Virol. 2018; 99(6):761–2. Epub 2018/05/11. https://doi.org/10.1099/jgv.0.001072
PMID: 29745869.
9. Scott TW, Weaver SC. Eastern equine encephalomyelitis virus: epidemiology and evolution of mosquito
transmission. Adv Virus Res. 1989; 37:277–328. Epub 1989/01/01. https://doi.org/10.1016/s0065-3527
(08)60838-6 PMID: 2574935.
10.
Lindsey NP, Staples JE, Fischer M. Eastern Equine Encephalitis Virus in the United States, 2003–
2016. Am J Trop Med Hyg. 2018; 98(5):1472–7. Epub 2018/03/21. https://doi.org/10.4269/ajtmh.17-
0927 PMID: 29557336; PubMed Central PMCID: PMC5953388.
11. Hawley RJ, Eitzen EM Jr., Biological weapons—a primer for microbiologists. Annu Rev Microbiol. 2001;
55:235–53. Epub 2001/09/07. https://doi.org/10.1146/annurev.micro.55.1.235 PMID: 11544355.
12. Ecker DJ, Sampath R, Willett P, Wyatt JR, Samant V, Massire C, et al. The Microbial Rosetta Stone
Database: a compilation of global and emerging infectious microorganisms and bioterrorist threat
agents. BMC Microbiol. 2005; 5:19. Epub 2005/04/27. https://doi.org/10.1186/1471-2180-5-19 PMID:
15850481; PubMed Central PMCID: PMC1127111.
13. Reed DS, Glass PJ, Bakken RR, Barth JF, Lind CM, da Silva L, et al. Combined alphavirus replicon par-
ticle vaccine induces durable and cross-protective immune responses against equine encephalitis
viruses. J Virol. 2014; 88(20):12077–86. https://doi.org/10.1128/JVI.01406-14 PMID: 25122801;
PubMed Central PMCID: PMC4178741.
14. Reed DS, Lackemeyer MG, Garza NL, Norris S, Gamble S, Sullivan LJ, et al. Severe encephalitis in
cynomolgus macaques exposed to aerosolized Eastern equine encephalitis virus. J Infect Dis. 2007;
196(3):441–50. https://doi.org/10.1086/519391 PMID: 17597459.
15. Roy CJ, Adams AP, Wang E, Leal G, Seymour RL, Sivasubramani SK, et al. A chimeric Sindbis-based
vaccine protects cynomolgus macaques against a lethal aerosol challenge of eastern equine
PLOS Neglected Tropical Diseases | https://doi.org/10.1371/journal.pntd.0009424 June 17, 2021
28 / 32
PLOS NEGLECTED TROPICAL DISEASESUtilization of advance telemetry in cynomolgus macaques infected with EEEV
encephalitis virus. Vaccine. 2013; 31(11):1464–70. https://doi.org/10.1016/j.vaccine.2013.01.014
PMID: 23333212; PubMed Central PMCID: PMC3581708.
16. National Research Council (U.S.). Committee for the Update of the Guide for the Care and Use of Labo-
ratory Animals., Institute for Laboratory Animal Research (U.S.), National Academies Press (U.S.).
Guide for the care and use of laboratory animals. 8th ed. Washington, D.C.: National Academies
Press; 2011. xxv, 220 p. p.
17. Yu GY, Wiley MR, Kugelman JR, Ladner JT, Beitzel BF, Eccleston LT, et al. Complete coding
sequences of eastern equine encephalitis virus and venezuelan equine encephalitis virus strains iso-
lated from human cases. Genome Announc. 2015; 3(2). Epub 2015/04/25. https://doi.org/10.1128/
genomeA.00243-15 PMID: 25908124; PubMed Central PMCID: PMC4408325.
18. Centers for Disease C, Prevention. Eastern equine encephalitis—New Hampshire and Massachusetts,
August-September 2005. MMWR Morb Mortal Wkly Rep. 2006; 55(25):697–700. Epub 2006/07/01.
PMID: 16810146.
19. Pratt WD, Gibbs P, Pitt ML, Schmaljohn AL. Use of telemetry to assess vaccine-induced protection
against parenteral and aerosol infections of Venezuelan equine encephalitis virus in non-human pri-
mates. Vaccine. 1998; 16(9–10):1056–64. Epub 1998/07/31. https://doi.org/10.1016/s0264-410x(97)
00192-8 PMID: 9682359.
20. Reed DS, Larsen T, Sullivan LJ, Lind CM, Lackemeyer MG, Pratt WD, et al. Aerosol exposure to west-
ern equine encephalitis virus causes fever and encephalitis in cynomolgus macaques. J Infect Dis.
2005; 192(7):1173–82. https://doi.org/10.1086/444397 PMID: 16136459.
21. Reed DS, Lind CM, Lackemeyer MG, Sullivan LJ, Pratt WD, Parker MD. Genetically engineered, live,
attenuated vaccines protect nonhuman primates against aerosol challenge with a virulent IE strain of
Venezuelan equine encephalitis virus. Vaccine. 2005; 23(24):3139–47. Epub 2005/04/20. https://doi.
org/10.1016/j.vaccine.2004.12.023 PMID: 15837213.
22. Reed DS, Lind CM, Sullivan LJ, Pratt WD, Parker MD. Aerosol infection of cynomolgus macaques with
enzootic strains of venezuelan equine encephalitis viruses. J Infect Dis. 2004; 189(6):1013–7. https://
doi.org/10.1086/382281 PMID: 14999604.
23. Ewers EC, Pratt WD, Twenhafel NA, Shamblin J, Donnelly G, Esham H, et al. Natural History of Aerosol
Exposure with Marburg Virus in Rhesus Macaques. Viruses. 2016; 8(4):87. Epub 2016/04/05. https://
doi.org/10.3390/v8040087 PMID: 27043611; PubMed Central PMCID: PMC4848582.
24.
Trefry JC, Wollen SE, Nasar F, Shamblin JD, Kern SJ, Bearss JJ, et al. Ebola Virus Infections in Nonhu-
man Primates Are Temporally Influenced by Glycoprotein Poly-U Editing Site Populations in the Expo-
sure Material. Viruses. 2015; 7(12):6739–54. Epub 2015/12/26. https://doi.org/10.3390/v7122969
PMID: 26703716; PubMed Central PMCID: PMC4690892.
25. Pratt WD, Davis NL, Johnston RE, Smith JF. Genetically engineered, live attenuated vaccines for Vene-
zuelan equine encephalitis: testing in animal models. Vaccine. 2003; 21(25–26):3854–62. Epub 2003/
08/19. https://doi.org/10.1016/s0264-410x(03)00328-1 PMID: 12922119.
26.
Langsjoen RM, Haller SL, Roy CJ, Vinet-Oliphant H, Bergren NA, Erasmus JH, et al. Chikungunya
Virus Strains Show Lineage-Specific Variations in Virulence and Cross-Protective Ability in Murine and
Nonhuman Primate Models. MBio. 2018; 9(2). Epub 2018/03/08. https://doi.org/10.1128/mBio.02449-
17 PMID: 29511072; PubMed Central PMCID: PMC5844994.
27. Erasmus JH, Auguste AJ, Kaelber JT, Luo H, Rossi SL, Fenton K, et al. A chikungunya fever vaccine
utilizing an insect-specific virus platform. Nat Med. 2017; 23(2):192–9. Epub 2016/12/20. https://doi.org/
10.1038/nm.4253 PMID: 27991917; PubMed Central PMCID: PMC5296253.
28. Rossi SL, Russell-Lodrigue KE, Killeen SZ, Wang E, Leal G, Bergren NA, et al. IRES-Containing VEEV
Vaccine Protects Cynomolgus Macaques from IE Venezuelan Equine Encephalitis Virus Aerosol Chal-
lenge. PLoS Negl Trop Dis. 2015; 9(5):e0003797. Epub 2015/05/29. https://doi.org/10.1371/journal.
pntd.0003797 PMID: 26020513; PubMed Central PMCID: PMC4447396.
29. Roy CJ, Adams AP, Wang E, Plante K, Gorchakov R, Seymour RL, et al. Chikungunya vaccine candi-
date is highly attenuated and protects nonhuman primates against telemetrically monitored disease fol-
lowing a single dose. J Infect Dis. 2014; 209(12):1891–9. Epub 2014/01/10. https://doi.org/10.1093/
infdis/jiu014 PMID: 24403555; PubMed Central PMCID: PMC4038141.
30. Becker DE. Fundamentals of electrocardiography interpretation. Anesth Prog. 2006; 53(2):53–63; quiz
4. Epub 2006/07/26. https://doi.org/10.2344/0003-3006(2006)53[53:FOEI]2.0.CO;2 PMID: 16863387;
PubMed Central PMCID: PMC1614214.
31. Ma H, Lundy JD, O’Malley KJ, Klimstra WB, Hartman AL, Reed DS. Electrocardiography Abnormalities
in Macaques after Infection with Encephalitic Alphaviruses. Pathogens. 2019; 8(4). Epub 2019/11/21.
https://doi.org/10.3390/pathogens8040240 PMID: 31744158; PubMed Central PMCID: PMC6969904.
PLOS Neglected Tropical Diseases | https://doi.org/10.1371/journal.pntd.0009424 June 17, 2021
29 / 32
PLOS NEGLECTED TROPICAL DISEASESUtilization of advance telemetry in cynomolgus macaques infected with EEEV
32. Baksi AJ, Kanaganayagam GS, Prasad SK. Arrhythmias in viral myocarditis and pericarditis. Card Elec-
trophysiol Clin. 2015; 7(2):269–81. Epub 2015/05/24. https://doi.org/10.1016/j.ccep.2015.03.009
PMID: 26002391.
33.
34.
Lange RA, Hillis LD. Clinical practice. Acute pericarditis. N Engl J Med. 2004; 351(21):2195–202. Epub
2004/11/19. https://doi.org/10.1056/NEJMcp041997 PMID: 15548780.
Fung G, Luo H, Qiu Y, Yang D, McManus B. Myocarditis. Circ Res. 2016; 118(3):496–514. Epub 2016/
02/06. https://doi.org/10.1161/CIRCRESAHA.115.306573 PMID: 26846643.
35. Kindermann I, Barth C, Mahfoud F, Ukena C, Lenski M, Yilmaz A, et al. Update on myocarditis. J Am
Coll Cardiol. 2012; 59(9):779–92. Epub 2012/03/01. https://doi.org/10.1016/j.jacc.2011.09.074 PMID:
22361396.
36. Cooper LT Jr. Myocarditis. N Engl J Med. 2009; 360(15):1526–38. Epub 2009/04/10. https://doi.org/10.
1056/NEJMra0800028 PMID: 19357408; PubMed Central PMCID: PMC5814110.
37. Dennert R, Crijns HJ, Heymans S. Acute viral myocarditis. Eur Heart J. 2008; 29(17):2073–82. Epub
2008/07/12. https://doi.org/10.1093/eurheartj/ehn296 PMID: 18617482; PubMed Central PMCID:
PMC2519249.
38.
39.
Imazio M, Spodick DH, Brucato A, Trinchero R, Markel G, Adler Y. Diagnostic issues in the clinical man-
agement of pericarditis. Int J Clin Pract. 2010; 64(10):1384–92. Epub 2010/05/22. https://doi.org/10.
1111/j.1742-1241.2009.02178.x PMID: 20487049.
Tingle LE, Molina D, Calvert CW. Acute pericarditis. Am Fam Physician. 2007; 76(10):1509–14. Epub
2007/12/07. PMID: 18052017.
40. Pouch SM, Katugaha SB, Shieh WJ, Annambhotla P, Walker WL, Basavaraju SV, et al. Transmission
of Eastern Equine Encephalitis Virus from an Organ Donor to Three Transplant Recipients. Clin Infect
Dis. 2018. Epub 2018/10/30. https://doi.org/10.1093/cid/ciy923 PMID: 30371754; PubMed Central
PMCID: PMC6488434.
41. Del Piero F, Wilkins PA, Dubovi EJ, Biolatti B, Cantile C. Clinical, pathologic, immunohistochemical,
and virologic findings of eastern equine encephalomyelitis in two horses. Vet Pathol. 2001; 38(4):451–
6. Epub 2001/07/27. https://doi.org/10.1354/vp.38-4-451 PMID: 11467481.
42. Elvinger F, Liggett AD, Tang KN, Harrison LR, Cole JR Jr, Baldwin CA, et al. Eastern equine encephalo-
myelitis virus infection in swine. J Am Vet Med Assoc. 1994; 205(7):1014–6. Epub 1994/10/01. PMID:
7852154.
43. Ethier M, Rogg J. Eastern equine encephalitis: MRI findings in two patients. Med Health R I. 2012; 95
(7):227–9. Epub 2012/08/30. PMID: 22928238.
44. Harvala H, Bremner J, Kealey S, Weller B, McLellan S, Lloyd G, et al. Case report: Eastern equine
encephalitis virus imported to the UK. J Med Virol. 2009; 81(2):305–8. Epub 2008/12/25. https://doi.org/
10.1002/jmv.21379 PMID: 19107960.
45. Hirsch MS, DeMaria A Jr, Schaefer PW, Branda JA. Case records of the Massachusetts General Hospi-
tal. Case 22–2008. A 52-year-old woman with fever and confusion. N Engl J Med. 2008; 359(3):294–
303. Epub 2008/07/19. https://doi.org/10.1056/NEJMcpc0804149 PMID: 18635435.
46.
Lury KM, Castillo M. Eastern equine encephalitis: CT and MRI findings in one case. Emerg Radiol.
2004; 11(1):46–8. Epub 2004/08/17. https://doi.org/10.1007/s10140-004-0350-7 PMID: 15309665.
47. Deresiewicz RL, Thaler SJ, Hsu L, Zamani AA. Clinical and neuroradiographic manifestations of east-
ern equine encephalitis. N Engl J Med. 1997; 336(26):1867–74. Epub 1997/06/26. https://doi.org/10.
1056/NEJM199706263362604 PMID: 9197215.
48. Wendell LC, Potter NS, Roth JL, Salloway SP, Thompson BB. Successful management of severe neu-
roinvasive eastern equine encephalitis. Neurocrit Care. 2013; 19(1):111–5. Epub 2013/06/05. https://
doi.org/10.1007/s12028-013-9822-5 PMID: 23733173.
49. Morse RP, Bennish ML, Darras BT. Eastern equine encephalitis presenting with a focal brain lesion.
Pediatr Neurol. 1992; 8(6):473–5. Epub 1992/11/01. https://doi.org/10.1016/0887-8994(92)90013-o
PMID: 1476580.
50. Silverman MA, Misasi J, Smole S, Feldman HA, Cohen AB, Santagata S, et al. Eastern equine enceph-
alitis in children, Massachusetts and New Hampshire,USA, 1970–2010. Emerg Infect Dis. 2013; 19
(2):194–201; quiz 352. Epub 2013/01/25. https://doi.org/10.3201/eid1902.120039 PMID: 23343480;
PubMed Central PMCID: PMC3559032.
51. Shah KJ, Cherabuddi K. Case of eastern equine encephalitis presenting in winter. BMJ Case Rep.
2016;2016. Epub 2016/05/12. https://doi.org/10.1136/bcr-2016-215270 PMID: 27165999; PubMed
Central PMCID: PMC4885365.
52. Mukerji SS, Lam AD, Wilson MR. Eastern Equine Encephalitis Treated With Intravenous Immunoglobu-
lins. Neurohospitalist. 2016; 6(1):29–31. Epub 2016/01/08. https://doi.org/10.1177/1941874415578533
PMID: 26740855; PubMed Central PMCID: PMC4680893.
PLOS Neglected Tropical Diseases | https://doi.org/10.1371/journal.pntd.0009424 June 17, 2021
30 / 32
PLOS NEGLECTED TROPICAL DISEASESUtilization of advance telemetry in cynomolgus macaques infected with EEEV
53. Hrabak T, Yerkey MW, Callerame K, Graham K. Eastern equine encephalitis presenting as psychosis.
J Miss State Med Assoc. 2002; 43(4):109–10. Epub 2002/05/07. PMID: 11989192.
54. Piliero PJ, Brody J, Zamani A, Deresiewicz RL. Eastern equine encephalitis presenting as focal neuror-
adiographic abnormalities: case report and review. Clin Infect Dis. 1994; 18(6):985–8. Epub 1994/06/
01. https://doi.org/10.1093/clinids/18.6.985 PMID: 8086564.
55. Cho JJ, Wong JK, Henkel J, DeJesus RO, Nazario-Lopez B. Acute Seroconversion of Eastern Equine
Encephalitis Coinfection With California Serogroup Encephalitis Virus. Front Neurol. 2019; 10:242.
Epub 2019/04/04. https://doi.org/10.3389/fneur.2019.00242 PMID: 30941092; PubMed Central
PMCID: PMC6433933.
56. Berlin D, Gilani AI, Grewal AK, Fowkes M. Eastern equine encephalitis. Pract Neurol. 2017; 17(5):387–
91. Epub 2017/07/30. https://doi.org/10.1136/practneurol-2017-001659 PMID: 28754695.
57. Nickerson JP, Kannabiran S, Burbank HN. MRI findings in eastern equine encephalitis: the "parenthe-
sis" sign. Clin Imaging. 2016; 40(2):222–3. Epub 2016/03/21. https://doi.org/10.1016/j.clinimag.2015.
10.012 PMID: 26995574.
58. Anderson BA. Focal neurologic signs in western equine encephalitis. Can Med Assoc J. 1984; 130
(8):1019–21. Epub 1984/04/15. PMID: 6704848; PubMed Central PMCID: PMC1876072.
59. Sundaram MB, Siemens P. Lateralized EEG abnormalities in western equine encephalitis. Can Med
Assoc J. 1984; 131(3):186, 8. Epub 1984/08/01. PMID: 6744162; PubMed Central PMCID:
PMC1483294.
60. Delfraro A, Burgueno A, Morel N, Gonzalez G, Garcia A, Morelli J, et al. Fatal human case of Western
equine encephalitis, Uruguay. Emerg Infect Dis. 2011; 17(5):952–4. Epub 2011/05/03. https://doi.org/
10.3201/eid1705.101068 PMID: 21529429; PubMed Central PMCID: PMC3321764.
61. Ehrenkranz NJ, Ventura AK. Venezuelan equine encephalitis virus infection in man. Annu Rev Med.
1974; 25:9–14. Epub 1974/01/01. https://doi.org/10.1146/annurev.me.25.020174.000301 PMID:
4824504.
62. Mutti C, Curti E, Ciliento R, Melpignano A, Florindo I, Zinno L, et al. Herpes Simplex Virus 1 encephalitis
with normal cerebrospinal fluid after brain radiotherapy in a patient with glioblastoma. A case report and
review of literature. Acta Biomed. 2019; 90(2):327–30. Epub 2019/05/28. https://doi.org/10.23750/abm.
v90i2.8218 PMID: 31125013.
63. Kalita J, Misra UK, Mani VE, Bhoi SK. Can we differentiate between herpes simplex encephalitis and
Japanese encephalitis? J Neurol Sci. 2016; 366:110–5. Epub 2016/06/12. https://doi.org/10.1016/j.jns.
2016.05.017 PMID: 27288787.
64. Grande-Martin A, Pardal-Fernandez JM, Garcia-Lopez FA. Utility of EEG findings in the management
of a case of herpes simplex encephalitis. Neurologia. 2017; 32(3):193–5. Epub 2015/06/11. https://doi.
org/10.1016/j.nrl.2015.04.001 PMID: 26059805.
65. Stelten BM, Venhovens J, van der Velden LB, Meulstee J, Verhagen WI. Syndrome of transient head-
ache and neurological deficits with cerebrospinal fluid lymphocytosis (HaNDL): A case report with serial
electroencephalography (EEG) recordings. Is there an association with human herpes virus type 7
(HHV-7) infection? Cephalalgia. 2016; 36(13):1296–301. Epub 2015/12/20. https://doi.org/10.1177/
0333102415618616 PMID: 26682576.
66. Sutter R, Kaplan PW, Cervenka MC, Thakur KT, Asemota AO, Venkatesan A, et al. Electroencephalog-
raphy for diagnosis and prognosis of acute encephalitis. Clin Neurophysiol. 2015; 126(8):1524–31.
Epub 2014/12/06. https://doi.org/10.1016/j.clinph.2014.11.006 PMID: 25476700.
67. Kalita J, Misra UK, Pandey S, Dhole TN. A comparison of clinical and radiological findings in adults and
children with Japanese encephalitis. Arch Neurol. 2003; 60(12):1760–4. Epub 2003/12/17. https://doi.
org/10.1001/archneur.60.12.1760 PMID: 14676053.
68.
Zetterberg H, Blennow K. Fluid biomarkers for mild traumatic brain injury and related conditions. Nat
Rev Neurol. 2016; 12(10):563–74. Epub 2016/09/17. https://doi.org/10.1038/nrneurol.2016.127 PMID:
27632903.
69. Gan ZS, Stein SC, Swanson R, Guan S, Garcia L, Mehta D, et al. Blood Biomarkers for Traumatic Brain
Injury: A Quantitative Assessment of Diagnostic and Prognostic Accuracy. Front Neurol. 2019; 10:446.
Epub 2019/05/21. https://doi.org/10.3389/fneur.2019.00446 PMID: 31105646; PubMed Central
PMCID: PMC6498532.
70.
Ianof JN, Anghinah R. Traumatic brain injury: An EEG point of view. Dement Neuropsychol. 2017; 11
(1):3–5. Epub 2017/12/08. https://doi.org/10.1590/1980-57642016dn11-010002 PMID: 29213487;
PubMed Central PMCID: PMC5619208.
71. Amyot F, Arciniegas DB, Brazaitis MP, Curley KC, Diaz-Arrastia R, Gandjbakhche A, et al. A Review of
the Effectiveness of Neuroimaging Modalities for the Detection of Traumatic Brain Injury. J Neuro-
trauma. 2015; 32(22):1693–721. Epub 2015/07/16. https://doi.org/10.1089/neu.2013.3306 PMID:
26176603; PubMed Central PMCID: PMC4651019.
PLOS Neglected Tropical Diseases | https://doi.org/10.1371/journal.pntd.0009424 June 17, 2021
31 / 32
PLOS NEGLECTED TROPICAL DISEASESUtilization of advance telemetry in cynomolgus macaques infected with EEEV
72. Sandsmark DK, Elliott JE, Lim MM. Sleep-Wake Disturbances After Traumatic Brain Injury: Synthesis
of Human and Animal Studies. Sleep. 2017; 40(5). Epub 2017/03/23. https://doi.org/10.1093/sleep/
zsx044 PMID: 28329120; PubMed Central PMCID: PMC6251652.
73. Hunt AR, Frederickson S, Maruyama T, Roehrig JT, Blair CD. The first human epitope map of the alpha-
viral E1 and E2 proteins reveals a new E2 epitope with significant virus neutralizing activity. PLoS Negl
Trop Dis. 2010; 4(7):e739. Epub 2010/07/21. https://doi.org/10.1371/journal.pntd.0000739 PMID:
20644615; PubMed Central PMCID: PMC2903468.
74.
75.
Zhang R, Hryc CF, Cong Y, Liu X, Jakana J, Gorchakov R, et al. 4.4 A cryo-EM structure of an envel-
oped alphavirus Venezuelan equine encephalitis virus. EMBO J. 2011; 30(18):3854–63. Epub 2011/08/
11. https://doi.org/10.1038/emboj.2011.261 PMID: 21829169; PubMed Central PMCID: PMC3173789.
Johnson BJ, Brubaker JR, Roehrig JT, Trent DW. Variants of Venezuelan equine encephalitis virus that
resist neutralization define a domain of the E2 glycoprotein. Virology. 1990; 177(2):676–83. Epub 1990/
08/01. https://doi.org/10.1016/0042-6822(90)90533-w PMID: 1695412.
76. Voss JE, Vaney MC, Duquerroy S, Vonrhein C, Girard-Blanc C, Crublet E, et al. Glycoprotein organiza-
tion of Chikungunya virus particles revealed by X-ray crystallography. Nature. 2010; 468(7324):709–12.
Epub 2010/12/03. https://doi.org/10.1038/nature09555 PMID: 21124458.
77. Pittman PR, Liu CT, Cannon TL, Mangiafico JA, Gibbs PH. Immune interference after sequential alpha-
virus vaccine vaccinations. Vaccine. 2009; 27(36):4879–82. Epub 2009/07/07. https://doi.org/10.1016/j.
vaccine.2009.02.090 PMID: 19576665.
78. Pittman PR, Makuch RS, Mangiafico JA, Cannon TL, Gibbs PH, Peters CJ. Long-term duration of
detectable neutralizing antibodies after administration of live-attenuated VEE vaccine and following
booster vaccination with inactivated VEE vaccine. Vaccine. 1996; 14(4):337–43. Epub 1996/03/01.
https://doi.org/10.1016/0264-410x(95)00168-z PMID: 8744562.
PLOS Neglected Tropical Diseases | https://doi.org/10.1371/journal.pntd.0009424 June 17, 2021
32 / 32
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10.7554_elife.85521.pdf
|
Data availability
Figure 3—source data 1, Figure 5—source data 1, Figure 6—source data 1, and Figure 7—source
data 1 contain the numerical and statistical data used to generate the figures. The confocal imaging
dataset is available at Brain Image Library under DOI https://doi.org/10.35077/g.933.
|
Data availability Figure 3 -source data 1, Figure 5 -source data 1, Figure 6 -source data 1, and Figure 7 -source data 1 contain the numerical and statistical data used to generate the figures. The confocal imaging dataset is available at Brain Image Library under DOI https://doi.org/10.35077/g.933 . The following dataset was generated:
|
RESEARCH ARTICLE
Origin of wiring specificity in an olfactory
map revealed by neuron type–specific,
time- lapse imaging of dendrite targeting
Kenneth Kin Lam Wong1, Tongchao Li1*†, Tian- Ming Fu2‡, Gaoxiang Liu3,
Cheng Lyu1, Sayeh Kohani1, Qijing Xie1, David J Luginbuhl1,
Srigokul Upadhyayula3,4,5, Eric Betzig2,3,6, Liqun Luo1*
1Department of Biology, Howard Hughes Medical Institute, Stanford University,
Stanford, United States; 2Howard Hughes Medical Institute, Janelia Research
Campus, Ashburn, United States; 3Advanced Bioimaging Center, Department of
Molecular and Cell Biology, University of California, Berkeley, Berkeley, United
States; 4Molecular Biophysics and Integrated Bioimaging Division, Lawrence Berkeley
National Laboratory, Berkeley, United States; 5Chan Zuckerberg Biohub, San
Francisco, United States; 6Departments of Molecular and Cell Biology and Physics,
Howard Hughes Medical Institute, Helen Wills Neuroscience Institute, University of
California, Berkeley, United States
Abstract How does wiring specificity of neural maps emerge during development? Formation
of the adult Drosophila olfactory glomerular map begins with the patterning of projection neuron
(PN) dendrites at the early pupal stage. To better understand the origin of wiring specificity of this
map, we created genetic tools to systematically characterize dendrite patterning across develop-
ment at PN type–specific resolution. We find that PNs use lineage and birth order combinatorially
to build the initial dendritic map. Specifically, birth order directs dendrite targeting in rotating
and binary manners for PNs of the anterodorsal and lateral lineages, respectively. Two- photon–
and adaptive optical lattice light- sheet microscope–based time- lapse imaging reveals that PN
dendrites initiate active targeting with direction- dependent branch stabilization on the timescale
of seconds. Moreover, PNs that are used in both the larval and adult olfactory circuits prune their
larval- specific dendrites and re- extend new dendrites simultaneously to facilitate timely olfactory
map organization. Our work highlights the power and necessity of type- specific neuronal access
and time- lapse imaging in identifying wiring mechanisms that underlie complex patterns of func-
tional neural maps.
Editor's evaluation
When a neuron is born it correlates with where it targets in the neuropil and this has been best
demonstrated in the olfactory lobe of Drosophila. This important study uses sophisticated genetics
and advanced live imaging to provide a compelling description of how neuronal dendrites explore
the target field, eliminate excessive branches, and assort into the correct region during develop-
ment. In the process, it develops valuable tools. The study brings us closer to a comprehensive
understanding of how the birth order of a neuron translates to dendrite patterning within the
Drosophila antennal lobe circuit.
*For correspondence:
ltongchao@outlook.com (TL);
lluo@stanford.edu (LL)
Present address: †Liangzhu
Laboratory, MOE Frontier
Science Center for Brain Science
and Brain- machine Integration,
State Key Laboratory of Brain-
machine Intelligence, Zhejiang
University, Hangzhou, China;
‡Department of Electrical
and Computer Engineering,
Princeton University, Princeton,
United States
Competing interest: The authors
declare that no competing
interests exist.
Funding: See page 25
Received: 11 December 2022
Preprinted: 29 December 2022
Accepted: 27 March 2023
Published: 28 March 2023
Reviewing Editor: Sonia Sen,
Tata Institute for Genetics and
Society, India
Copyright Wong et al. This
article is distributed under the
terms of the Creative Commons
Attribution License, which
permits unrestricted use and
redistribution provided that the
original author and source are
credited.
Wong et al. eLife 2023;12:e85521. DOI: https://doi.org/10.7554/eLife.85521
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Research article
eLife digest The brain’s ability to sense, act and remember relies on the intricate network of
connections between neurons. Organization of these connections into neural maps is critical for
processing sensory information. For instance, different odors are represented by specific neurons in a
part of the brain known as the olfactory bulb, allowing animals to distinguish between smells.
Projection neurons in the olfactory bulb have extensions known as dendrites that receive signals
from sensory neurons. Scientists have extensively used the olfactory map in adult fruit flies to study
brain wiring because of the specific connections between their sensory and projection neurons. This
has led to the discovery of similar wiring strategies in mammals. But how the olfactory map is formed
during development is not fully understood.
To investigate, Wong et al. built genetic tools to label specific types of olfactory projection neurons
during the pupal stage of fruit fly development. This showed that a group of projection neurons
directed their dendrites in a clockwise rotation pattern depending on the order in which they were
born: the first- born neuron sent dendrites towards the top right of the antennal lobe (the fruit fly
equivalent of the olfactory bulb), while the last- born sent dendrites towards the top left.
Wong et al. also carried out high- resolution time- lapse imaging of live brains grown in the labora-
tory to determine how dendrites make wiring decisions. This revealed that projection neurons send
dendrites in all directions, but preferentially stabilize those that extend in the direction which the
neurons eventually target. Also, live imaging showed neurons could remove old dendrites (used in the
larvae) and build new ones (to be used in the adult) simultaneously, allowing them to quickly create
new circuits.
These experiments demonstrate the value of imaging specific types of neurons to understand the
mechanisms that assemble neural maps in the developing brain. Further work could use the genetic
tools created by Wong et al. to study how wiring decisions are determined in this and other neural
maps by specific genes, potentially yielding insights into neurological disorders associated with wiring
defects.
Introduction
Organization of neuronal connectivity into spatial maps occurs widely in the nervous systems across
species (Luo and Flanagan, 2007; Cang and Feldheim, 2013; Luo, 2021). For example, in the retino-
topic map of the visual system, nearby neurons in the input field project axons to nearby neurons in
the target field (Cang and Feldheim, 2013). Such a continuous organization preserves spatial relation-
ships in the visual world. Contrary to retinotopy, the olfactory glomerular map consists of discrete units
called glomeruli in which input neurons connect with the cognate output neurons based on neuronal
type rather than soma position (Mombaerts et al., 1996; Gao et al., 2000; Vosshall et al., 2000). This
discrete map represents a given odor by the combinatorial activation of specific glomeruli. Whereas
continuous maps are readily built using gradients of guidance cues (Cang and Feldheim, 2013), how
glomeruli are placed at specific locations in discrete maps is less clear (Murthy, 2011). Understanding
the developmental origins of these neural maps is fundamental for deciphering the logic of their func-
tional organization through which information is properly represented and processed.
The adult Drosophila olfactory map in the antennal lobe (the equivalent of the vertebrate olfactory
bulb) has proven to be a powerful model for studying mechanisms of wiring specificity, thanks to the
type- specific connections between the presynaptic olfactory receptor neurons (ORNs) and the cognate
postsynaptic projection neurons (PNs). Molecules and mechanisms first identified in this circuit have
been found to play similar roles in the wiring of the mammalian brain (e.g. Hong et al., 2012; Berns
et al., 2018; Pederick et al., 2021). Assembly of the fly olfactory map begins with dendritic growth
and patterning of PNs derived primarily from the anterodorsal (adPNs) and lateral (lPNs) lineages
and born with an invariant birth order within each lineage (Jefferis et al., 2001; Jefferis et al., 2004;
Marin et al., 2005; Yu et al., 2010; Lin et al., 2012; Figure 1A and B). This patterning creates a
prototypic olfactory map, prior to ORN axon innervation, indicative of the PN- autonomous ability to
target dendrites into specific regions. However, earlier studies could only unambiguously follow the
development of one single PN type – DL1 PNs (Jefferis et al., 2004). It remains unclear to date how
the prototypic olfactory map is organized and what cellular mechanisms PN dendrites use to achieve
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Figure 1. Organization and development of the adult olfactory circuit in Drosophila. (A, B) Timeline (A) and
schematic illustration (B) of Drosophila olfactory circuit development. Green, red, and blue circles denote the birth
of embryonic- born anterodorsal projection neuron (adPN), larval- born adPN, and larval- born lPN, respectively.
At the onset of metamorphosis, the larval- specific olfactory circuit degenerates; larval olfactory receptor neurons
(ORNs) die while embryonic- born adPNs prune their larval- specific processes and re- extend new processes into the
adult- specific olfactory circuit. In the adult- specific olfactory circuit, projection neuron (PN) dendrites extend first
and form a prototypic map. This is followed by an extension of ORN axons and synaptic partner matching between
cognate PN dendrites and ORN axons to form a mature map. Solid and open arrowheads in A indicate onset
of innervation for PN dendrites and ORN axons, respectively. (C) Overview of this study investigating the logic
of dendritic patterning (C1; see Figures 3 and 4) as well as cellular mechanisms of dendrite targeting specificity
(C2; see Figures 6 and 7) and re- wiring (C3; see Figure 8) that contribute to the developmental origin of the adult
Drosophila olfactory map. (D) Staining of fixed brains at indicated stages showing dendrite development of adPNs
(VT033006+ run+ ; labeled in yellow) and lPNs (VT033006+ run–; labeled in cyan). As run- FLP is expressed before
0 h APF in adPN but not lPN neuroblasts, we can use it to label adPNs and lPNs with two distinct colors using an
intersectional reporter (see Materials and methods for the genotype). Yellow arrowheads in (D1) mark larval- and
adult- specific dendrites of adPNs in larval- and adult- specific antennal lobes, respectively. Cyan arrowheads in (D3)
denote specific targeting of lPN dendrites at the opposite ends of the dorsomedial- ventrolateral axis. (D1): N=12;
(D2): N=7; (D3): N=17; (D4): N=10; (D5): N=12. Common notations in this study: Unless otherwise indicated, all
images in this and subsequent figures are partial z projections of confocal stacks of representative images. N
indicates the number of antennal lobes imaged. Antennal lobe neuropils are revealed by N- Cadherin (Ncad; in
blue) staining. Adult- specific (developing) antennal lobe is outlined with a white solid line. Larval- specific antennal
lobe is outlined with an orange line (dashed line used to denote the degeneration stage) and is distinguished
from the developing antennal lobe by the more intense nc82 staining as shown in Figure 1—figure supplement 1
(nc82 channel not shown here). Asterisks (*) indicate PN cell bodies, which are outside the antennal lobe neuropil
(and sometimes appear on top because of the z- projections). Arrowheads mark PN dendrites. Arrows mark PN
axons projecting towards higher olfactory centers (see Figure 1—figure supplement 2 for PN axons at their
targets in the mushroom body and lateral horn). h APF: hours after puparium formation; h ALH: hours after larval
hatching. DL: dorsolateral; DM: dorsomedial; VM: ventromedial; VL: ventrolateral. Scale bar = 10 µm.
The online version of this article includes the following figure supplement(s) for figure 1:
Figure supplement 1. Visualization of larval- and adult- specific antennal lobes by co- staining of Ncad and nc82.
Figure supplement 2. Projection neuron (PN) axon development across pupal stages.
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targeting specificity (Figure 1C1- 2). The initial map formation is further complicated by circuit remod-
eling during which embryonic- born PNs used in both the larval and adult circuits reorganize their
neurites (Marin et al., 2005). How embryonic- born PNs coordinate remodeling with re- integration
into the adult circuit is not known (Figure 1C3).
Here, we set out to explore the origin of the olfactory map by performing a systematic and compar-
ative study of PN dendrite development at type- specific resolution in vivo, and two- photon– and
adaptive optical lattice light- sheet microscope–based time- lapse imaging of PN dendrites in early
pupal brain explants. As our overarching goal is to understand how the wiring specificity between
ORNs and PNs arises, we focus on PNs that project to single glomeruli. Neurons from the lateral
lineage that innervate multiple glomeruli or project to other regions of the adult brain (Lin et al.,
2012) are not studied here. Our study uncovers wiring logic that directs PN dendrites to create an
organized olfactory map, dendritic branch dynamics that lead to directional selectivity, and a novel
re- wiring mechanism that facilitates timely olfactory map formation. These wiring strategies used in
the initial map organization lay the foundation of precise synaptic connectivity between PNs and
ORNs in the final glomerular map.
Results
Overview of Drosophila olfactory circuit development at a lineage-
specific resolution
We first described the development of the Drosophila olfactory circuit using pupal brains double-
labeled for adPNs and lPNs (Figure 1D; see the genetic design in Figure 2). At the onset of metamor-
phosis (0 hr after puparium formation; 0 hr APF), the adult- specific antennal lobe (also referred to as
‘developing antennal lobe’) remained relatively small, located dorsolateral and posterior to the larval-
specific antennal lobe (also referred to as ‘degenerating antennal lobe’) (Figure 1D1). As PN dendrites
continued to grow and innervate the developing antennal lobe, its size increased considerably
(Figure 1D1–3). By 12 hr APF, PNs already appeared to be sorting their dendrites into specific regions
to form a prototypic map, as revealed by the heterogeneous patterning of lPN dendrites (arrowheads
in Figure 1D3). From 21 hr to 50 hr APF, dendrites of adPNs and lPNs gradually segregated and
eventually formed intercalated but non- overlapping glomeruli (Figure 1D4–5). The development of the
adult- specific antennal lobe partially overlapped with the degeneration of the larval- specific antennal
lobe, as indicated by fragmentation of the larval- specific dendrites of embryonic- born PNs at 3 hr
APF (Figure 1D2). This gross characterization at the resolution of two PN lineages was consistent with
earlier studies (Jefferis et al., 2004; Marin et al., 2005). However, the resolution was not sufficiently
high to answer the questions we raised in the Introduction (Figure 1C).
Expanded genetic toolkit for type-specific labeling of PNs during early
pupal development
To reveal how PN dendrites initiate olfactory map formation at the high spatiotemporal resolution,
we needed genetic access to specific PN types during early pupal development. From our recently
deciphered single- cell PN transcriptomes (Xie et al., 2021), we searched for genetic markers that
are expressed strongly and persistently in single or a few PN types across pupal development. This
transcriptome- instructed search led to the identification of CR45223 (in place of this non- coding
gene, we used the adjacent CG14322 that exhibits nearly identical expression pattern), lov, and tsh
(Figure 2A and B; Figure 2—figure supplement 1).
Next, using CRISPR/Cas9, we generated knock- in transgenic QF2 expression driver lines in which
T2A- QF2 (or T2A- FLP for intersection) was inserted immediately before the stop codon of the endog-
enous gene (Figure 2—figure supplement 2). The self- cleaving peptide T2A allows QF2 to be
expressed in the same pattern as the endogenous gene (Diao and White, 2012). With these new QF2
lines together with existing GAL4 lines that label additional PN types (Xie et al., 2019), we now have
an expanded toolkit accessing PNs ranging from early- to late- born PNs, from adPN to lPN lineages,
and from PNs with neighboring glomerular projections to those with distant projections in the adult
antennal lobe (Figure 2C and D). As QF2/QUAS and GAL4/UAS expression systems operate orthogo-
nally to each other (Potter et al., 2010; Riabinina et al., 2015), we crossed our QF2 lines with existing
GAL4 lines for simultaneous labeling of distinct PN types in the same brain (see inset in Figure 2C).
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Figure 2. Expanded genetic toolkit for dual- color, type- specific labeling of projection neurons (PNs). (A) tSNE
plot of PN single- cell transcriptomes, color- coded according to CR45223 expression level in [log2(CPM +1)], where
CPM stands for transcript counts per million reads. Zoom- in of boxes in the tSNE plot (left) is shown on the right,
and color- coded according to PN types and developmental stages. (B) Dot plot showing the expression of acj6,
vvl, CR45223, CG14322, lov, and tsh in 0 hr APF PNs arranged according to their birth order and lineage (green:
embryonic- born anterodorsal projection neuron (adPNs); red: larval- born adPNs; blue: larval- born lPNs). Unit of
expression is [log2(CPM +1)] as in A. Data from panels A are B are from Xie et al., 2021. (C) Birth orders of adPNs
and lPNs summarized by Lin et al., 2012; Yu et al., 2010 and genetic tools used to access them. Left: Accessible
PN types are colored. Circles beneath the PN types denote QF2/GAL4 drivers used to access them. Asterisks
beneath the PN types denote access by MARCM. Gray arrowhead marks neuroblast (NB) rest. Right: Genetic
tools. Inset shows the combinatorial use of QF2/FLP and GAL4 (linked by dashed lines) for comparative analyses of
dendrite development of two groups of PNs in the same animal. (D) Schematic of glomerular projections of QF2/
GAL4- accessible PNs in the adult antennal lobe. Indicated glomeruli are color- coded based on the genetic tools
used to access them. See the color code in C. (E, F) Schematic of intersectional logic gates for dual- color labeling
of PNs. See Figure 2—figure supplement 2 for newly generated FLP- out reporters.
The online version of this article includes the following figure supplement(s) for figure 2:
Figure supplement 1. Expression of projection neuron (PN) marker genes across development.
Figure supplement 2. Generation of T2A- QF2/FLP transgenic flies by CRISPR/Cas9.
Figure supplement 3. Design of single- and dual- color FLP- out reporters.
This combinatorial use of driver lines permitted comparative analyses of the development of distinct
PN types with minimal biological and technical variations (Supplementary file 1).
To limit driver expression only in PNs, we applied intersectional logic gates (AND and NOT gates)
using our newly generated conditional reporters genetically encoding either mGreenLantern, Halo
tags, and/or SNAP tags (Kohl et al., 2014; Sutcliffe et al., 2017; Campbell et al., 2020; Figure 2E
and F; Figure 2—figure supplement 3). These reporters can be broadly used in other systems. Finally,
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we used MARCM (Lee and Luo, 1999) to label PNs that remain inaccessible due to a lack of drivers
(Figure 2C; discussed in Figure 3).
Early larval-born adPN dendrites initially share similar targeting regions
Using the new genetic tools, we first re- visited the dendrite development of DL1 PNs—the first larval-
born adPN type—using pupal brains double- labeled for DL1 PNs (labeled by 71B05- GAL4) and adPNs
(Figure 3A). Consistent with our previous study (Jefferis et al., 2004), DL1 PNs already showed
robust dendritic growth at the wandering third instar larval stage (Figure 3—figure supplement 1A).
At 0 hr APF, DL1 PN dendrites extended radially outwards from the main process, reaching nearly the
entire developing antennal lobe and often overshooting it (white arrowheads in Figure 3A1), likely
surveying the surroundings. By 6 hr APF, most of the dendrites already occupied the dorsolateral (DL)
corner of the antennal lobe (Figure 3A2). As the antennal lobe continued to grow, this dorsolateral
positioning of the DL1 PN dendrites remained largely unchanged (Figure 3A3–6). From 21 hr APF
onwards, the dendrites underwent progressive refinement: they were restricted into a smaller area
by 30 hr APF (Figure 3A4–5), and eventually formed a compact, posterior glomerulus by 50 hr APF
(Figure 3A6 showing a single z section).
To assess whether other PN types follow the same developmental trajectory, we next examined
CG14322+ PNs, which include DL1 PNs and DA3 PNs—the first and second larval- born adPN types,
respectively. In the same brain, we also labeled with a different fluorophore DC2 PNs—the third
larval- born adPN type (Figure 3B). The dendritic pattern of DL1/DA3 PNs appeared indistinguish-
able from that of DL1 PNs from 0 hr to 12 hr APF (compare the yellow channel of Figure 3B1–3 with
Figure 3A1–3), suggesting that DL1 and DA3 PN sent dendrites to the same region in the antennal
lobe. We began to see differences in 21 hr APF pupal brains in which DL1/DA3 PN dendrites not only
occupied the dorsolateral region but also spread ventrally (white arrowhead in Figure 3B4; compare
with Figure 3A4). The more ventrally targeted dendrites likely belong to DA3 PNs. This suggests
that ~21 hr APF marks the beginning of dendritic segregation of DL1 and DA3 PNs. By 30 h APF, DL1
and DA3 dendrites were clearly separable (Figure 3B5), which respectively formed more posteriorly
and anteriorly targeted glomeruli at 50 hr APF (Figure 3B6; see single z sections in Figure 3—figure
supplement 1C).
Next, we focused on the third- born—DC2 PNs labeled by 91G04- GAL4 (Figure 3B). This GAL4
labeled additional embryonic- born adPNs from 0 hr to 6 hr APF, but the expression in these PNs
diminished afterward. As embryonic- born adPNs do not have any dendrites in the developing
antennal lobe at 0 hr APF (discussed in Figure 8), dendrites found in the antennal lobe should belong
to the larval- born DC2 PNs. Like DL1/DA3 PNs, DC2 PNs initiated radial dendritic extension across
the antennal lobe at 0 hr APF (Figure 3B1; Figure 3—figure supplement 1B). Notably, DL1/DA3 and
DC2 PN dendrites exhibited substantial overlap from 0 hr to 12 hr APF and shared a similar targeting
region at the dorsolateral corner from 6 hr to 12 hr APF (Figure 3B1–3). It was not until 21 hr APF that
DL1, DA3, and DC2 dendrites began to segregate from each other along both medial- lateral and
anterior- posterior axes (Figure 3B4–5). By 50 hr APF, the DC2 glomerulus was separated from DL1/DA3
glomeruli by intermediate glomeruli (Figure 3B6).
In summary, dendrites of consecutively larval- born DL1, DA3, and DC2 adPNs (here collectively
named ‘early larval- born adPNs’; see its definition in next section) develop in a similar fashion and
share a similar targeting region at early pupal stages (0–12 hr APF). This is then followed by their
segregation into distinct regions close to their adult glomerular positions during mid- pupal stages
(21–50 hr APF).
Larval-born adPNs with distant birth order send dendrites to distinct
regions
The analysis of early larval- born adPNs (Figure 3A and B) led us to hypothesize that larval- born
adPNs might use their birth order to coordinate dendrite targeting during early pupal stages. If this
were true, we would expect dendrites of larval- born adPNs with distant birth order to occupy distinct
regions. To test this hypothesis, we compared dendrite- targeting regions of early larval- born adPNs
with those of later- born adPNs.
We first examined DC3/VA1d adPNs (referred to as ‘mid- early larval- born adPNs’) using Mz19- GAL4
(Figure 3C). This GAL4 is expressed in three PN types from 24 hr APF to adulthood: DC3 adPNs, VA1d
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Figure 3. Birth order–dependent spatial patterning of anterodorsal projection neuron (adPN) dendrites in the
developing antennal lobe. (A) Confocal images of fixed brains at indicated stages showing dendrite development
of adPNs (acj6+; labeled in green) and DL1 adPNs (71B05+; labeled in yellow). Right column of A1 shows a zoom- in
of the dashed box. The labeling of acj6+ adPNs outlines the developing antennal lobe and is used in dual- color
Figure 3 continued on next page
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Figure 3 continued
AO- LLSM imaging later (see Figure 7A–C). White arrowheads in (A1) mark dendrites overshooting the antennal
lobe. (A1): N=14; (A2): N=12; (A3): N=14; (A4): N=6; (A5): N=4; (A6): N=4. (B) Confocal images of fixed brains at
indicated stages showing dendrite development of DL1/DA3 adPNs (CG14322+; labeled in yellow) and DC2
adPNs (91G04+; labeled in magenta). As 91G04- GAL4 labels some embryonic- born projection neurons (PNs) from
0 to 6 hr APF, their neurites are found in the larval- specific antennal lobe (B1, 2). Right column of (B1) shows a zoom-
in of the dashed box. White arrowhead in (B4) denotes the more ventrally targeted DL1/DA3 dendrites. (B1): N=6;
(B2): N=5; (B3): N=12; (B4): N=4; (B5): N=7; (B6): N=2. (C) Confocal images of fixed brains at indicated stages
showing dendrite development of DC3/VA1d adPNs (Mz19+ acj6+; labeled in red) and DA1 lPNs (Mz19+ acj6–;
labeled in cyan). (C1): N=14; (C2): N=6; (C3): N=4; (C4): N=10; (C5): N=10; (C6): N=6; (C7): N=4. (D) Confocal images
of single- cell MARCM clones (in yellow) of DL1 PNs (D1–3), mid- late larval- born adPNs (D4–6), and late larval- born
adPNs (D7–9) in 12 hr APF pupal brains, generated by heat shocks (hs) at indicated times. Three biological samples
are shown for each of the indicated adPN cohorts. D1–3: N=5; D4–6: N=4; D7–9: N=8. (E) Summary of wiring logic
of larval- born adPN dendrites to form an olfactory map in the 12 hr APF developing antennal lobe. See Figure 1
legend for common notations.
The online version of this article includes the following video, source data, and figure supplement(s) for figure 3:
Figure supplement 1. Dendrite development of early larval- born projection neurons (PNs).
Figure supplement 2. MARCM- labeled single- cell projection neurons (PNs) of indicated lineages in adult brains.
Figure supplement 3. Dendrite development of DL1, middle larval- born, and late larval- born projection neurons
(PNs) at early stages.
Figure supplement 3—source data 1. Source data for Figure 3—figure supplement 3F and G.
Figure 3—video 1. 3D rendering of z stacks of indicated projection neurons (PNs) in 12 hr APF antennal lobe.
https://elifesciences.org/articles/85521/figures#fig3video1
adPNs, and DA1 lPNs (Jefferis et al., 2004). To distinguish adPNs from lPNs, we previously adopted
an FLP- out strategy labeling Mz19+ PNs with either GFP or RFP based on their lineages and studied
dendrite segregation and refinement during mid- pupal stages (Li et al., 2021; Figure 3C4–7). However,
the weak GAL4 expression before 24 hr APF prevented us from visualizing any dendrites at earlier
stages. To overcome this, we incorporated Halo and SNAP chemical labeling (Kohl et al., 2014) in
place of the immunofluorescence approach. This modification substantially extended the detection
to developmental stages as early as 12 hr APF (Figure 3C1). We found that, from 12 hr to 21 hr APF,
DC3/VA1d PN dendrites targeted the ventrolateral (VL) corner of the antennal lobe (Figure 3C1–4).
Thus, early (DL1/DA3/DC2) and mid- early (DC3/VA1d) larval- born adPN dendrites occupy distinct
regions at 12 hr APF.
As we did not have reliable drivers to access other later- born PNs at early pupal stages, we turned
to MARCM (Lee and Luo, 1999) to generate heat shock- induced single- cell clones of PNs born at
different times (Figure 3—figure supplement 2). We used GH146- GAL4(IV), a PN driver that labels
the majority of PN types, including later- born adPNs (Figure 3—figure supplement 2D–E), with
a tight temporal control of heat shock and analyzed heat shock- induced animals that were among
the first to form puparium to minimize the effects of unsynchronized development among individual
animals (see Materials and methods for details). These optimizations permitted a systematic clonal
analysis at higher PN type- specific resolution that correlates with birth time.
Based on birth timing that corresponds to the heat shock time we applied to induce single- cell
MARCM clones, we assigned larval- born adPNs to approximate temporal cohorts: (1) heat shock at
0–24 hr ALH (after larval hatching): first- born (DL1), (2) heat shock at 42–48 hr ALH: early- born (DL1,
DA3, DC2, and D), (3) heat shock at 66–72 hr ALH: mid- late born (VM7v, VM7d, VM2, DM6, and VA1v),
and (4) heat shock at 96–100 hr ALH: late- born (DM6, VA1v, DL2v, DL2d) (Figure 3E1). We assigned
DC3/VA1d PNs labeled by Mz19- GAL4 to the mid- early cohort because they are born between the
early and mid- late adPNs. We note that DM6 and VA1v PNs were assigned to both cohorts of mid-
late and late- born adPNs, reflecting the nature of short birth timing differences and overlaps between
adjacent cohorts. Using this strategy, we could also label lPNs born at different times and assigned
them into approximate temporal cohorts (Figure 3—figure supplement 2F).
Clonal analysis revealed that, at 12 hr APF, the first- born DL1 adPNs sent dendrites to the dorso-
lateral corner of the antennal lobe as expected (Figure 3D1–3). By contrast, dendrites of mid- late
larval- born adPNs occupied a large region on the medial/dorsomedial (M/DM) side (Figure 3D4–6).
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The dendritic arborization patterns of these PNs varied widely, most likely because they belonged to
different PN types. Intriguingly, late larval- born adPN dendrites targeted the peripheral, dorsomedial
(abbreviated as pDM) corner where the staining of the pan- neuropil marker N- Cadherin was relatively
weak (Figure 3D7–9). The weak staining implies that this area is less populated by PN dendrites (the
major constituent of the antennal lobe neuropil at this stage), possibly because (1) this area is not
innervated by many PNs and/or (2) the dendrites of late- born PNs innervate later and remain less
elaborate than earlier- born PNs (we will explore this later).
Together, our data (Figure 3A–D) suggest that larval- born adPNs with adjacent birth order send
dendrites to similar regions of the developing antennal lobe whereas those with distant birth order
send dendrites to distinct regions (Figure 3E2,3). Notably, the birth order of the examined PNs does
not specify dendrite targeting randomly (Figure 3E4). Rather, the stereotyped dendritic pattern in the
prototypic map correlates with the birth order in an organized manner (rotating clockwise in the right
hemisphere when viewed from the front; anti- clockwise in the left: early↔DL; mid- early↔VL; mid-
late↔M/DM; late↔pDM). One can, therefore, infer at least the approximate birth order of a larval-
born adPN based on its initial dendrite targeting, and vice versa.
As the antennal lobe is a 3D structure, we also visualized PN dendrite targeting in the 12 hr APF
map with 3D rendering generated from z stacks with rotation along the y- axis (Figure 3—video 1).
We found that, along the short anterior- posterior axis (spanning about 20 µm), PN dendrites were
located primarily on the periphery of the antennal lobe, whereas the center housed the axon bundle
projecting out of the antennal lobe. Some dendrites could reach almost the entire depth, suggesting
active exploration of the surroundings in many directions. While 3D projections provide rich details
in depth and different viewing angles, we did not find an apparent relationship between birth order
and dendrite targeting along the anterior- posterior axis, at least for the examined PN types at 12 hr
APF. Thus, the approximate 2D projection (Figure 3E2–4) conveys the logic of dendrite patterning
effectively.
Dendrite targeting timing of larval-born adPN depends on birth order
Having provided evidence for birth order–dependent spatial patterning of larval- born adPN dendrites,
we next asked whether the timing of dendritic extension and targeting is also influenced by birth
order. We noticed that the extent of dendritic innervation of 0 hr APF first- born DL1 adPNs resembled
that of 6 hr APF mid- late born adPNs (compare Figure 3—figure supplement 3A1–4 with Figure 3—
figure supplement 3B5–8). Such a resemblance was also seen between 0 hr APF mid- late and 6 hr APF
late- born adPNs (compare Figure 3—figure supplement 3B1–4 with Figure 3—figure supplement
3C). Quantitative analyses of the exploring volume of dendrites and the number of terminal branches
showed that, at 0 hr APF, DL1 PN dendrites were more elaborate than mid- late born PN dendrites
(Figure 3—figure supplement 3F). By 6 hr APF, the mid- late born appeared to catch up, showing an
extent of innervation comparable to DL1 PNs.
We next examined when the dendrites reach their targeting regions. We found that whereas early
larval- born adPNs (DL1, DA3, DC2) concentrated their dendrites to the dorsolateral corner by 6 hr
APF (Figure 3B2; Figure 3—figure supplement 3A5–8), later- born PNs concentrated their dendrites to
the medial/dorsomedial or peripheral dorsomedial side at 12 hr APF (Figure 3D4- 9; Figure 3—figure
supplement 3B5- 8, C). Thus, our results suggest larval- born adPN dendrites innervate and pattern the
antennal lobe using a ‘first born, first developed’ strategy.
Contribution of lineage to early PN dendritic patterning
Both lineage and birth order of PNs contributes to the eventual glomerular choice of their dendrites
(Jefferis et al., 2001). What is the involvement of lineage in the prototypic map formation? Do lPN
dendrites pattern the developing antennal lobe following similar rules as adPNs? To characterize
lPN dendrite development at type–specific resolution, we used tsh- GAL4 to genetically access DA1/
DL3 lPNs, and MARCM clones of lPNs as a complementary approach (Figure 4). We focused on the
dendritic patterns of tsh+ DA1/DL3 lPNs from 0 hr to 12 hr APF as tsh- GAL4 labeled additional PNs
from 21 hr APF onwards (Figure 4A4–6; Figure 4—figure supplement 1B4–6; Figure 4—figure supple-
ment 2; Figure 2—figure supplement 1).
Examination of pupal brains double- labeled with DA1/DL3 lPNs (referred to as ‘middle larval- born
lPNs’) and DL1/DA3 adPNs revealed that, like the early larval- born adPNs, dendritic growth of DA1/
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Figure 4. Birth order–dependent spatial patterning of lPN dendrites in the developing antennal lobe. (A) Confocal
images of fixed brains at indicated stages showing dendrite development of DL1/DA3 adPNs (CG14322+; labeled
in yellow) and DA1/DL3 lPNs (tsh+; labeled in cyan). Right column of A1 shows a zoom- in of the dashed box.
(A1): N=8; (A2): N=4; (A3): N=6; (A4): N=10; (A5): N=4; (A6): N=5. (B) MARCM clones (in cyan) of early (B1–3) and late
(B4–6) larval- born lPNs in 12 hr APF pupal brains, generated by heat shocks (hs) at indicated times. In (B3), (B5), and
(B6), single- cell clones of anterodorsal projection neuron (adPN) (yellow arrowheads) and lPN (cyan arrowheads)
lineages were simultaneously labeled. Three biological samples are shown for each of the indicated lPN cohorts.
B1–3: N=4; B4–6: N=6. (C) Summary of wiring logic of larval- born lPN dendrites to form an olfactory map in the 12 hr
APF developing antennal lobe. (D) Summary of determination of dendrite targeting of larval- born PNs by lineage
and birth order. See Figure 1 legend for common notations.
The online version of this article includes the following video and figure supplement(s) for figure 4:
Figure supplement 1. Dendrite development of DL1/DA3 and DA1/DL3 projection neurons (PNs).
Figure supplement 2. Expression patterns of tsh in the developing antennal lobe during mid- pupal stages.
Figure 4—video 1. 3D rendering of z stacks of indicated projection neurons (PNs) in 12 hr APF antennal lobe.
https://elifesciences.org/articles/85521/figures#fig4video1
DL3 lPNs was evident by the wandering third instar larval stage (Figure 4—figure supplement 1A). At
this stage, most DA1/DL3 lPN dendrites innervated the antennal lobe and intermingled with those of
DL1/DA3 adPNs. From 0 hr to 12 hr APF, despite a high degree of overlap among those dendrites that
explored the surroundings, DA1/DL3 lPN dendrites primarily targeted an area ventrolateral to those
of DL1/DA3 adPNs (Figure 4A1–3; see 3D rendering in Figure 4—video 1). Such a spatial distinction
was also observed between middle larval- born adPNs and lPNs in 0 hr and 6 hr APF pupal brains
where occasionally single- cell clones from both lineages were simultaneously generated by MARCM
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(Figure 3—figure supplement 3D1–4, 7–10). Thus, at least some adPNs and lPNs sort their dendrites into
distinct regions very early on regardless of birth timing.
Next, we used MARCM to ask if lPNs born earlier and later than DA1/DL3 lPNs would send
dendrites to regions different from that of DA1/DL3 lPNs. We found that dendrites of early- born
lPNs primarily occupied the medial/dorsomedial side of the antennal lobe (Figure 4B1–3); we note
that adPNs born at the same time sent dendrites to the dorsolateral side (see yellow arrowhead in
Figure 4B3). Also, in contrast to the ventrolateral targeting of middle- born lPN dendrites, late- born
lPNs sent dendrites to the dorsomedial corner (Figures 4B4–6). Like larval- born adPNs, late- born lPNs
innervated the antennal lobe later than earlier- born lPNs (Figure 3—figure supplement 3D7–12–E, G).
These data suggest that, at early pupal stages, lPN dendrites pattern the developing antennal lobe
following similar rules as larval- born adPNs: adjacent birth order → similar dendrite targeting; distant
birth order → distinct dendrite targeting; ‘first born, first developed.’ However, unlike the correlation
of birth order and target positions in a rotational manner for adPNs (Figure 3E), the lPN dendritic
map formation appears binary: early↔M/DM; middle↔VL; late↔DM (Figure 4C). Our type- specific
characterization corroborated with the gross examination of the lPN dendrites as previously reported
(Jefferis et al., 2004): at 12 hr APF, lPN dendrites mostly occupied the opposite corners along the
dorsomedial- ventrolateral axis, leaving the middle of the axis largely devoid of lPN dendrites (arrow-
heads in Figure 1D3).
In summary, we propose that lineage and birth order of larval- born PNs contribute to their dendrite
targeting in a combinatorial fashion (Figure 4D). The wiring logic of PN dendrites in the developing
antennal lobe can, therefore, be represented by [lineage, birth order]=dendrite targeting; one can
deduce the unknown if the other two are known.
An explant system for time-lapse imaging of PN development at early
pupal stages
So far, we have identified wiring logic governing the initial dendritic map formation (Figures 3 and 4)
by examining specifically labeled neuron types in the fixed brain at different developmental stages.
To examine dendrite targeting at the higher spatiotemporal resolution, we established an early- pupal
brain explant culture system based on previous protocols (Özel et al., 2015; Rabinovich et al.,
2015; Li and Luo, 2021; Li et al., 2021), and performed single- or dual- color time- lapse imaging
with two- photon microscopy as well as adaptive optical lattice light- sheet microscopy (AO- LLSM)
(Figure 5A–C). The following lines of evidence support that our explant system recapitulates key
features of in vivo olfactory circuit development.
First, during normal development, the morphology of the brain lobes changes from spherical at
0 hr APF to more elongated rectangular shapes at 15 hr APF (Rabinovich et al., 2015). After 22 hr
ex vivo culture, the spherical hemispheres of brains dissected at 3 hr APF became more elongated,
mimicking ~15 hr APF in vivo brains characterized by the separation of the optic lobes from the
central brain (Figure 5D).
Second, dual- color, two- photon imaging of PNs every 20 min for 22 hr revealed that lPNs in 3 hr
APF brains initially produced dynamic but transient dendritic protrusions in many directions, followed
by extensive innervation into the antennal lobe (arrowheads in Figure 5E1–3; Figure 5—video 1). In
higher brain centers, lPN axons clearly showed direction- specific outgrowth of collateral branches into
the mushroom body calyx as well as forward extension into the lateral horn (arrows in Figure 5E3), thus
resembling in vivo development (Figure 1—figure supplement 2).
Third, larval- specific dendrites observed in 0 hr APF brains cultured for 12 hr ex vivo (orange arrow-
head in Figure 5F4) were no longer seen in those cultured for 24 hr ex vivo (Figure 5F5), indicative of
successful pruning and clearance of larval- specific dendrites. Also, the size of the developing antennal
lobe in the brains cultured for 24 hr ex vivo increased considerably (Figure 5F5). These imply that
olfactory circuit remodeling (degeneration of larval- specific processes and growth of adult- specific
processes) proceeds normally, albeit at a slower rate (compare with Figure 5F1–3).
Fourth, dendrites from genetically identified DL1 and DA1/DL3 PNs targeted to their stereotyped
locations in the antennal lobe in 0 hr APF brains cultured for 24 hr ex vivo (Figure 5G), mimicking in
vivo development (Figure 4A).
Finally, the segregation of dendrites of PNs targeting to neighboring proto- glomeruli could be
recapitulated in brains dissected at 24 hr APF and cultured for 8 hr (Figure 5—figure supplement 1;
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Figure 5. Establishment of an explant system for time- lapse imaging of olfactory map formation. (A) Schematic of
the anatomical organization of the olfactory circuit in early pupal brain (0–3 hr APF). Green, red, and blue denote
embryonic- born adPN, larval- born anterodorsal projection neuron (adPN), and larval- born lPN, respectively. MB:
mushroom body; LH: lateral horn. (B) Schematic of explant culture system for early pupal brains. Wells created
in the Sylgard plate from which brains were imbedded are shown in blue. (C) Schematic of explant culture and
imaging system for early pupal brains. (D) Top: Schematic of morphological changes of brain lobes from 0 hr
to ~15 hr APF during normal development. Bottom: Morphologies of a brain explant dissected at 3 hr APF and
cultured for 0 hr ex vivo and cultured for 22 hr ex vivo. (E) Two- photon time- lapse imaging of adPNs (VT033006+
run+ ; labeled in magenta) and lPNs (VT033006+ run–; labeled in green) in pupal brain dissected at 3 hr APF and
cultured for 0–22 hr ex vivo. Arrowheads mark dynamic but transient dendritic protrusions of lPNs in E1, 2, and
extensive dendritic innervation of lPNs in (E3). Arrows in (E3) mark axonal innervation of lPNs in the mushroom body
calyx and lateral horn. N=3. (F) Confocal images of antennal lobes labeled by VT033006+ projection neurons (PNs)
(in green) at 0 hr (F1), 6 hr (F2), and 12 hr (F3) APF in vivo. Confocal images of antennal lobes labeled by VT033006+
PNs in pupal brains were dissected at 0 hr APF and cultured for 12 hr (F4) and 24 hr (F5) ex vivo. (F1): N=6; (F2): N=5;
(F3): N=6; (F4): N=8; (F5): N=8. (G) Dendrite targeting regions of DL1 PNs (71B05+; in yellow; G1) and DA1/DL3
PNs (tsh+; in cyan; G2) in the antennal lobes in pupal brains dissected at 0 hr APF and cultured for 24 hr ex vivo.
Antennal lobes are revealed by N- Cadherin (Ncad; in blue) staining. (G1): N=5; (G2): N=6. See Figure 1 legend for
common notations.
The online version of this article includes the following video, source data, and figure supplement(s) for figure 5:
Figure supplement 1. Dendritic segregation of DC3/VA1d adPNs and DA1 lPNs targeting neighboring proto-
glomeruli.
Figure supplement 1—source data 1. Source data for Figure 5—figure supplement 1C and D.
Figure 5—video 1. Two- photon time- lapse imaging of projection neuron (PN) development.
https://elifesciences.org/articles/85521/figures#fig5video1
Figure 5—video 2. Two- photon time- lapse imaging of projection neuron (PN) dendritic segregation.
https://elifesciences.org/articles/85521/figures#fig5video2
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Figure 5—video 2). Specifically, despite constant dynamic interactions among dendrites that explore
the surroundings (arrowheads in Figure 5—figure supplement 1A2–4), DC3/VA1d and DA1 PNs exhib-
ited a 1–2 µm increase in the distance between centers of the two dendritic masses and a substantial
decrease in the overlap of their core targeting regions (Figure 5—figure supplement 1B–D). Taken
together, these data support that the explant culture and imaging system established here reliably
captures key neurodevelopmental events starting from early pupal stages.
Single-cell, two-photon imaging reveals active dendrite targeting
Our observation in fixed brains revealed that dendrites of DL1 adPNs transition from a uniform exten-
sion in the antennal lobe at 0 hr APF to concentration at the dorsolateral corner of the antennal lobe at
6 hr APF (Figure 3A). To identify mechanisms of dendrite targeting specificity that could be missed in
static developmental snapshots, we performed two- photon time- lapse imaging of single- cell MARCM
clones of DL1 PNs in 3 hr APF brains (Figure 6; Figure 6—figure supplement 1; Figure 6—video 1).
Although we did not have a counterstain outlining the antennal lobe, we could use the background
signals to discern the orientation of DL1 PNs in the brain (Figure 6—figure supplement 1A). The
final targeting regions relative to the antennal lobe revealed by post hoc fixation and immunostaining
confirmed proper dendrite targeting (yellow arrowhead in Figure 6A10; Figure 6—figure supplement
1B–C).
Using DL1 PN in Figure 6A (pseudo- colored in yellow; Figure 6—video 1) as an example, we
observed that the PN initially extended dendrites in every direction (Figure 6A1–3), like what we
observed in fixed tissues (Figure 3A1). The first sign of active targeting emerged at 2 hr 20 min ex vivo
when DL1 PN began to generate long, albeit transient, dendritic protrusions in the dorsolateral direc-
tion; these selective protrusions were more prominent at 3 hr ex vivo (arrowheads in Figure 6A4–6).
The dorsolateral targeting continued to intensify, leading to the formation of a highly focal dendritic
mass seen at 13 hr ex vivo (arrowhead in Figure 6A8). As the dendrites reached the dorsolateral corner
and explored locally, the change in shape appeared less pronounced (Figure 6A9).
To quantitatively characterize the active targeting process, we categorized the bulk dendritic
masses emanating from the main process according to their targeting directions: DL, DM, VM, and
VL (Figure 6B). During the initial phase, the percentage of dendritic volume in each direction varied
from 10% to 40% (Figure 6C and D), indicative of active exploration with little targeting specificity.
Despite these variations, the total amount of dendritic mass seen in the VM direction over the entire
imaging time (area under the graph of Figure 6C) was the smallest across all samples examined
(Figure 6E). The initial phase of exploration in every direction was followed by a ~4 hr transitional
phase during which DL1 PNs predominantly extended dendrites in 2 of the 4 directions (Figure 6C;
Figure 6—figure supplement 1D–E). One of the 2 directions was always DL whereas the other was
either DM or VL but never VM. In the final phase, DL1 PN dendrites always preferred DL out of the two
available directions. Lastly, we analyzed the bulk dendritic movements. We defined bulk extension and
retraction events when dendrites respectively extended and retracted more than 2 μm between two
consecutive time frames. The analyses showed a striking shift from frequent extension and retraction
towards stabilization, reflecting the pre- and post- targeting dynamics, respectively (Figure 6F and G).
Hence, long- term two- photon imaging of single- cell DL1 PNs revealed that dendrite targeting
specificity increases over time via active targeting in a specific direction and stepwise elimination of
unfavorable trajectory choices (see summary in Figure 7F1–3).
AO-LLSM imaging suggests a cellular mechanism underlying dendrite
targeting specificity
To capture fast dynamics of single dendritic branches, we performed dual- color adaptive optical
lattice sheet microscopy (AO- LLSM) imaging (Chen et al., 2014; Wang et al., 2014; Liu et al., 2018)
of PNs every 30 s for 15 min, following a protocol we recently established (Li et al., 2021; Li and
Luo, 2021). We selected 3 hr, 6 hr, and 12 hr APF pupal brains double- labeled with DL1 PNs and bulk
adPNs (Figure 7A–C; Figure 7—videos 1–3). The labeling of adPNs with GFP outlined PN cell bodies
and the developing antennal lobe but not the degenerating one, presumably because the GFP in
larval- specific dendrites was quickly quenched upon glial phagocytosis (Marin et al., 2005).
In the 15 min imaging window, we observed four types of terminal branches regardless of neuronal
types or developmental stages: (1) stable branch that existed throughout the entire imaging time,
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Figure 6. Two- photon time- lapse imaging reveals active dendrite targeting. (A) Two- photon time- lapse imaging
of MARCM- labeled DL1 projection neuron (PN) (pseudo- colored in yellow) in a brain dissected at 3 hr APF
and cultured for 21 hr ex vivo (A1–9). Arrowheads in A4–6 denote protrusions of dendritic branches towards the
dorsolateral direction. After 21 hr culture, the explant was fixed and immuno- stained for N- Cadherin (Ncad; in
blue) to outline the developing antennal lobe (A10). Yellow and cyan arrowheads indicate DL1 PN dendrites and
processes of other GH146+ cells, respectively. (B) Neurite tracing of DL1 PN at the beginning of live imaging (3 hr
APF + 0 hr ex vivo). Dendrites are categorized based on the directions to which they extend and color- coded
accordingly. (C) Left: Quantification of the percentage of dendritic volume in indicated direction during the time-
lapse imaging period reveals a transitional phase during which dendrites were found in only two out of the four
directions. Right: Schematic of the initial, transitional, and final phases during the course of targeting. ‘½’ denotes
the reduction of available trajectory directions by half. Timestamp 00:00 refers to HH:mm; H, hour; m, minute.
See Figure 6—source data 1. (D) Quantification of the percentage of DL1 PN dendritic volume in an indicated
direction in 3 hr APF cultured brains at the beginning (0 hr ex vivo) and at/near the end of imaging (18 hr ex vivo).
DL1 PN sample size = 3. t- test; *p<0.05. Timestamp 00:00 refers to HH:mm; H, hour; m, minute. (E) Quantification
of the percentage of the sum of DL1 PN dendritic volume in indicated directions throughout the entire imaging
time. DL1 PN sample size = 3. (F) Bulk dendrite dynamics of DL1 PN in Figure 6A. Each row represents bulk
dendritic dynamics in the indicated direction (color- coded as in Figure 6B) across the 21 hr imaging period. Each
block represents a 20 min window. Bulk extension (in green) and retraction (in magenta) events are defined as
dendrites extending and retracting more than 2 μm between two consecutive time windows. The first and last
six consecutive windows refer to the initial and final phases of imaging. (G) Quantification of the number of bulk
extension and retraction events in the dorsolateral direction during the initial and final phases of imaging. DL1 PN
sample size = 3. t- test; *p<0.05.
The online version of this article includes the following video, source data, and figure supplement(s) for figure 6:
Source data 1. Source data for Figure 6C–G and Figure 6—figure supplement 1D and E.
Figure supplement 1. Two- photon time- lapse imaging of DL1 projection neuron (PNs).
Figure 6—video 1. Two- photon time- lapse imaging of DL1 projection neuron (PN) dendrites.
https://elifesciences.org/articles/85521/figures#fig6video1
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(2) transient branch that was produced and eliminated within the imaging window, (3) emerging
branch that was produced after imaging began, and (4) retracting branch that was eliminated within
the imaging period (Figure 7—figure supplement 1A). To examine if terminal branch dynamics
exhibit any directional preference, we assigned the branches according to their targeting directions
(Figure 7D). Extension and retraction events were defined when the speed exceeded 0.5 μm/min.
Terminal branches were selected for analyses as branches closer to the main process were too dense
to resolve. Figure 7D1- 3 showed the dynamics of ~15 randomly selected terminal branches in each
direction from the representative 3 hr, 6 hr, and 12 hr APF DL1 PNs (Figure 7A–C).
Quantitative analyses revealed that at 3 hr APF, DL1 PNs constantly produced, eliminated,
extended, and retracted dendritic branches (Figure 7A, Figure 7D1, Figure 7—video 1). Even stable
branches were not immobile. Rather, they spent comparable amounts of time extending and retracting
at ~1.5 μm/min (Figure 7—figure supplement 1A1, 1B). Transient, emerging, and retracting branches
had similar, but more variable speeds, ranging from 1 to 2.5 μm/min. Although there was no correla-
tion between targeting direction and frequency/speed of extension/retraction, the number of stable
branches in the VM direction was significantly lower than in other directions across all 3 hr DL1 PN
samples examined (Figure 7E1). This suggests that even though dendritic branches were developed
in every direction at the early stages, those branches in the VM direction were short- lived and might
be eliminated by retraction. The direction- dependent stability/lifespan of dendritic branches on the
timescale of seconds uncovered from AO- LLSM imaging explains why bulk dendrites in unfavorable
trajectories failed to persist in long- term two- photon imaging.
From 6 hr to 12 hr APF, DL1 PNs no longer manifested direction- specific branch de/stabiliza-
tion (Figure 7B–C, Figure 7D2–3, Figure 7—videos 2–3). At the same developmental stage, stable
branches in one direction appeared indistinguishable from those in other directions in terms of abun-
dance, frequency, and speed (Figure 7D2–3, Figure 7—figure supplement 1C–D). This suggests that
the entire dendritic mass tends to stay in equilibrium upon arrival at target regions. At 12 hr APF, the
abundance of stable branches of DL1 PNs was the highest (Figure 7D–E1). Also, the stable branches
of 12 hr APF DL1 PNs moved at a significantly lower speed (~1 μm/min) (Figure 7E2) and spent more
time being stationary than those at 3 hr and 6 hr (Figure 7—figure supplement 1B–D). The reduced
branch dynamics at 12 hr APF is consistent with observations from two- photon imaging showing fewer
bulk extension/retraction events in the final phase of targeting (Figure 6F–G). Despite the slowdown,
dendritic arborization was evident in terminal branches of 12 hr APF DL1 PNs (Figure 7—figure
supplement 1E), suggesting that PN dendrites are transitioning from simple to complex branch
architectures. Although it remains unclear if there is a causal relationship between reduced branch
dynamics and increased structural complexity, we propose that both contribute to the sustentation of
dendrite targeting specificity.
In summary, AO- LLSM imaging reveals that PNs selectively stabilize branches in the direction
towards the target and destabilize those in the opposite direction, providing a cellular basis of
dendrite targeting specificity. Upon arrival at the target, the specificity is sustained through branch
stabilization in a direction- independent manner (summarized in Figure 7F4–7).
Embryonic-born PNs timely integrate into an adult olfactory circuit by
simultaneous dendritic pruning and re-extension
In earlier sections, we uncovered wiring logic of larval- born PN dendritic patterning and cellular mech-
anisms of dendrite targeting specificity used to initiate olfactory map formation (Figures 3–7). In this
final section, we focused on embryonic- born PNs, which participate in both larval and adult olfactory
circuits by reorganizing their processes (Marin et al., 2005). Our previous study demonstrates that
embryonic- born PNs prune their larval- specific dendrites during early metamorphosis (Marin et al.,
2005; Figure 1D1–3). Here, we examined when and how embryonic- born PNs re- extend dendrites
used in the adult olfactory circuit.
It is known that γ neurons of Drosophila mushroom body (γ Kenyon cells) and sensory Class IV
dendritic arborization (C4da) neurons prune their processes between 4 hr and 18 hr APF and show
no signs of re- extension at 18 hr APF (Lee et al., 2000; Watts et al., 2003; Lee et al., 2009). Do
embryonic- born adPNs follow a similar timeframe? We first examined developing brains double-
labeled for embryonic- born DA4l/VA6/VA2 adPNs (collectively referred to as ‘lov+ PNs’) and early
larval- born DC2 adPNs (Figure 8A; Figure 8—figure supplement 1). We found that, by 12 hr APF,
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Figure 7. AO- LLSM time- lapse imaging reveals cellular mechanisms of dendrite targeting specificity. (A–C) AO-
LLSM imaging of DL1 projection neurons (PNs) (71B05+; labeled in yellow) and anterodorsal projection neurons
(adPNs) (acj6+; labeled in blue) in cultured brains dissected at 3 hr (A), 6 hr (B), and 12 hr (C) APF. Zoom- in, single
z- section images of (A1), (B1), and (C1) (outlined in dashed boxes) are shown in A2, B2 and C2, respectively. (D)
Single dendritic branch dynamics of 3 hr (D1), 6 hr (D2), and 12 hr (D3) DL1 PNs shown in A–C. Terminal branches
are analyzed and categorized based on the directions in which they extend. Their speeds are color- coded using
purple- gray- green gradients (negative speeds, retraction; positive speeds, extension). Individual branches are also
assigned into four categories: stable, transient, emerging, and retracting (color- coded on the right; see Figure 7—
figure supplement 1A). Each block represents a 30s window. Each row represents individual branch dynamics
across the 15 min imaging period. (E) Quantification of the abundance (in percentage) of DL1 PN stable branches
in indicated direction at 3 hr, 6 hr, and 12 hr (E1). Average speed of DL1 PN stable branches in indicated direction
at 3 hr, 6 hr, and 12 hr (E2). DL1 PN sample size: 3 hr=4; 6 hr=3; 12 hr=3. Error bars, SEM; t-test; One- way ANOVA;
*p<0.05; n.s., p≥0.05. SEM, standard error of the mean; n.s., not significant. See Figure 7—source data 1. (F)
Summary of mechanisms underlying the emergence of dendrite targeting specificity revealed by two- photon and
AO- LLSM imaging of DL1 PN dendrites.
The online version of this article includes the following video, source data, and figure supplement(s) for figure 7:
Source data 1. Source data for Figure 7E.
Figure supplement 1. Analyses of DL1 projection neuron (PN) dendritic branches captured by AO- LLSM imaging.
Figure 7—video 1. AO- LLSM time- lapse imaging of 3 hr DL1 projection neuron (PN) dendrites.
https://elifesciences.org/articles/85521/figures#fig7video1
Figure 7—video 2. AO- LLSM time- lapse imaging of 6 hr DL1 projection neuron (PN) dendrites.
https://elifesciences.org/articles/85521/figures#fig7video2
Figure 7—video 3. AO- LLSM time- lapse imaging of 12 hr DL1 projection neuron (PN) dendrites.
https://elifesciences.org/articles/85521/figures#fig7video3
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lov+ PNs already sent adult- specific dendrites to a region ventromedial to DC2 PN dendrites (green
arrowhead in Figure 8A3; see 3D rendering in Figure 8—video 1). This implies that lov+ PNs have
already caught up with DC2 PNs on dendrite development at this stage, and the re- extension of lov+
PN dendrites must have happened even earlier. Indeed, we observed lov+ PN dendrites innervated
the developing antennal lobe extensively at 6 hr APF (Figure 8A2). Such innervation was not observed
at 0 hr APF (Figure 8A1). After 12 hr APF, the time course of lov+ PN dendrite development was
comparable to that of DC2 PNs (Figure 8A4–6).
To characterize dendritic re- extension at single- cell resolution, we developed a sparse, stochastic
labeling strategy to label single lov+ PNs (Figure 8B). We found that lov+ PNs produced nascent
branches from the main process dorsal to larval- specific dendrites as early as 3 hr APF (Figure 8C2–3;
arrowheads in Figure 8C6–7). At 6 hr APF, when larval- specific dendrites were completely segregated
from lov+ PNs, the robust extension of adult- specific dendrites was seen across the developing
antennal lobe (Figure 8C4). These data indicate that lov+ PNs re- extend their adult- specific dendrites
at a more dorsal location before the larval- specific dendrites are completely pruned.
Do other embryonic- born PNs prune and re- extend their dendrites simultaneously? Like lov drivers,
Mz612- GAL4 labels embryonic- born PNs, one of which is VA6 PN (Marin et al., 2005). In 3 hr APF
brains co- labeled for Mz612+ and lov+ PNs, we could unambiguously access three single embryonic-
born PN types: (1) lov+ Mz612– PN, (2) lov– Mz612+ PN, and (3) lov+ Mz612+PN (Figure 8—figure
supplement 2A–B). Tracing of individual dendritic branches showed that all these PNs already re- ex-
tended dendrites to varying extents prior to the separation of larval- specific dendrites from the rest
of the processes (Figure 8—figure supplement 2C). Thus, concurrent pruning and re- extension apply
to multiple embryonic- born PN types.
To capture the remodeling at the higher temporal resolution, we performed two- photon time-
lapse imaging of single embryonic- born PNs labeled by Split7- GAL4 (Figure 8D, Figure 8—video 2,
Figure 8—figure supplement 3). This GAL4 labels one embryonic- born PN (either VA6 or VA2 PN)
at early pupal stages but eight PN types at 24 hr APF (Xie et al., 2021). Initially (3 hr APF + 0 hr ex
vivo), no adult- specific dendrites were detected in live Split7+ PNs (Figure 8D1). The following ~3 hr
ex vivo saw thickening of the main process (arrowhead in Figure 8D3). From 4 hr ex vivo onwards,
re- extension occurred in the presumed developing antennal lobe located dorsal to larval- specific
dendrites (arrowheads in Figure 8D4–8; see traces in Figure 8D9). Live imaging of Split7+ PNs also
revealed that fragmentation of larval- specific dendrites occurred at the distal ends (Figure 8—figure
supplement 3B1–5), and the process leading to larval- specific dendrites gradually disappeared as
pruning approached completion (Figure 8—figure supplement 3B6–10). These observations suggest
that pruning of embryonic- born PN dendrites is not initiated by severing at the proximal end. Distal-
to- proximal pruning, rather than in the reversed direction, further supports concurrent but spatially
segregated pruning and re- extension processes.
It has been shown that dendritic pruning of embryonic- born PNs requires ecdysone signaling in
a cell- autonomous manner (Marin et al., 2005). We asked if the re- extension process also depends
on ecdysone signaling. We expressed a dominant negative form of ecdysone receptor (EcR- DN) in
most PNs (including lov+ PNs) and monitored the development of lov+ PN dendrites (Figure 8—
figure supplement 4). We found that inhibition of ecdysone signaling by EcR- DN expression not only
suppressed pruning, but also blocked re- extension. This is consistent with a previous study reporting
the dual requirement of ecdysone signaling in the pruning and re- extension of Drosophila anterior
paired lateral (APL) neurons, although, unlike embryonic- born PNs, APL neurons prune and re- extend
processes sequentially (at 6 hr and 18 hr APF, respectively) (Mayseless et al., 2018). We currently
could not distinguish if the lack of re- extension is due to defective pruning, or if ecdysone signaling
controls pruning and re- extension independently.
Taken together, our data demonstrate that embryonic- born PNs prune and re- extend dendrites
simultaneously at spatially distinct regions, and that both processes require ecdysone signaling
(Figure 8E). Such a ‘multi- tasking’ ability explains how embryonic- born PNs can re- integrate into the
adult olfactory circuit and engage in its prototypic map formation in a timely manner.
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Figure 8. Embryonic- born projection neurons (PNs) timely participate in olfactory map formation via simultaneous
pruning and re- extension. (A) Confocal images of fixed brains at indicated stages showing dendrite development
of lov+ PNs (embryonic- born; labeled in green) and 91G04+DC2 PNs (larval- born; labeled in magenta). As
91G04- GAL4 also labels some embryonic- born PNs from 0 to 6 hr APF, their processes are found in the larval-
specific antennal lobe (A1, 2). Right columns of A1, 2 show a zoom- in of the dashed boxes. Green arrowhead in
(A2) indicates robust dendrite re- extension of embryonic- born PNs across the developing antennal lobe at 6 hr
APF. (A1): N=6; (A2): N=12; (A3): N=9; (A4): N=12; (A5): N=9; (A6): N=5. (B) Schematic of the sparse, stochastic, and
dual- color labeling strategy. In this strategy, the same cell has one copy of UAS- responsive conditional reporter 1
and one copy of QUAS- responsive reporter 2, both of which are integrated into the same 86Fb genomic locus (i.e.
UAS- FRT- stop- FRT- reporter1/QUAS- FRT- stop- FRT- reporter2). FLP expression yields cis and trans recombination of
FRT sites in a stochastic manner. Upon GAL4 expression, reporter 1 is expressed in cells with cis recombination,
whereas reporter 2 is expressed only when cis and trans recombination events co- occur. (C) Sparse labeling of
lov+ PNs (labeled in green; single- cell lov+ PNs in gray) at indicated developmental stages. (C6) and (C7) are
zoom- in images of the rectangular boxes in (C2) and (C3), respectively. Arrowheads indicate nascent, adult- specific
dendrites. Larval- specific dendrites are outlined by dashed orange lines. Arrows indicate axons projecting towards
high brain centers. (C1): N=6; (C2–3): N=6; (C4): N=4; (C5): N=4. (D) Two- photon time- lapse imaging of a single
Figure 8 continued on next page
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Figure 8 continued
embryonic- born PN (Split7+; pseudo- colored in yellow) in a brain dissected at 3 hr APF and cultured for 23 hr ex
vivo. Arrowhead in (D3) denote the thickening of the main process. Arrowheads in D4, 5 denote dendritic protrusions
dorsal to larval- specific dendrites. (D9) shows neurite tracing of the embryonic- born PN. Triangles in (D9) indicate
the degenerating larval- specific dendrites. N=3. (E) Schematic summary of remodeling of embryonic- born PN
dendrites. Following simultaneous pruning and re- extension, embryonic- born PNs timely integrate into an adult
olfactory circuit and, together with larval- born PNs, participate in the prototypic map formation.
The online version of this article includes the following video and figure supplement(s) for figure 8:
Figure supplement 1. Dendrite development of lov+ embryonic- born projection neurons (PNs).
Figure supplement 2. Dendrite re- extension of lov+ and Mz612+ embryonic- born projection neurons (PNs).
Figure supplement 3. Two- photon time- lapse imaging of Split7+ projection neuron (PN) dendrites.
Figure supplement 4. Dual requirement of ecdysone signaling in pruning and re- extension of embryonic- born
projection neuron (PN) dendrites.
Figure 8—video 1. 3D rendering of z stacks of indicated projection neurons (PNs) in 12 hr APF antennal lobe.
https://elifesciences.org/articles/85521/figures#fig8video1
Figure 8—video 2. Two- photon time- lapse imaging of Split7+ projection neuron (PN) dendrites.
https://elifesciences.org/articles/85521/figures#fig8video2
Discussion
Wiring logic for the prototypic olfactory map
Prior to this study, no apparent logic linking PN lineage, birth order, and adult glomerular position
has been found. Our systematic analyses of dendritic patterning at the resolution of specific PN types
across development identified wiring logic underlying the spatial organization of the prototypic olfac-
tory map (Figures 3 and 4).
We found that PNs of a given lineage and temporal cohort share similar dendrite targeting spec-
ificity and timing. Notably, dendrites of adPNs and lPNs respectively pattern the antennal lobe in
rotating and binary manners following birth order. Based on our new observations and previous find-
ings, we discuss possible mechanisms that execute the wiring logic to form the initial map: (1) speci-
fication of the initial dendrite targeting through combinatorial inputs from lineage and birth order, (2)
PN dendrite- dendrite interactions, and (3) contribution of the degenerating larval- specific antennal
lobe.
The spatial distinctions of cell bodies (e.g. Figure 1D1), axons (e.g. Figure 1—figure supplement
2A), and dendrites (e.g. Figure 4A1) of adPNs and lPNs observed in 0 hr APF pupal brain suggest
that lineage endows projection specificity very early on. Lineage- specific transcription factors have
been identified to instruct PN neurite targeting (Komiyama et al., 2003; Komiyama and Luo, 2007;
Li et al., 2017; Xie et al., 2022), which might explain the differences between the adPN and lPN
dendritic maps. Nonetheless, lineage alone does not account for the characteristic dendritic patterns.
Rather, dendrite targeting can be predicted using combinatorial inputs from lineage and birth order.
This combinatorial strategy is also seen in neuronal fate diversification and wiring of the Drosophila
optic lobe and ventral nerve cord (Erclik et al., 2017; Mark et al., 2021), suggesting that it is a
general principle in wiring the fly brain and likely also used in vertebrates (Holguera and Desplan,
2018; Sen, 2023). Substantial advances have been made in understanding how temporal patterning
arises for intra- lineage specification (Doe, 2017; Miyares and Lee, 2019). For instance, the embry-
onic ventral nerve cord neuroblasts sequentially express a cascade of temporal transcription factors
(TTFs) to specify temporal identity (Isshiki et al., 2001). Larval optic lobe neuroblasts also deploy
the same strategy but use a completely different TTF cascade (Li et al., 2013). Earlier studies show
Chinmo, a TTF, and RNA- binding proteins that regulate Chinmo translation, control neuronal cell fate
of the adPN lineage (Zhu et al., 2006; Liu et al., 2015). Specifically, DL1 PNs mutant for Chinmo
project dendrites to D glomerulus that is targeted by the fourth larval- born adPNs (Zhu et al., 2006),
demonstrating temporal order specifies final glomerular targeting. However, whether approximate
temporal cohorts of a given PN lineage we described arise from sequential expression of temporal
factors, and how such factors translate into initial dendrite patterning remains a fertile ground for
future studies.
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Our time- lapse imaging data reveals robust PN dendritic dynamics during the initial targeting
process (Figures 5–8), suggesting that cellular interactions among PN dendrites contribute to the
initial map formation. This appears to contrast with the PN- ORN map in the mature antennal lobe,
which is highly stable; connection specificity remains largely unchanged upon genetic ablation of their
synaptic partners (Berdnik et al., 2006). Future works using early- onset genetic drivers for specific PN
types for ablation can be used to investigate interactions between different PN groups, such as adPNs
and lPNs, in the construction of the initial PN dendrite map.
Does the degenerating larval- specific antennal lobe contribute to the initial dendrite patterning
of the developing adult- specific antennal lobe? Earlier studies found that the larval- specific ORN
axons secrete semaphorins, Sema- 2a and Sema- 2b, which act as repulsive ligands for dendrites of
Sema- 1a- expressing PNs (including DL1 PNs) (Komiyama et al., 2007; Sweeney et al., 2011). As
the larval- specific lobe is located ventromedial to the adult- specific lobe, Sema- 2a/b and Sema- 1a
form opposing gradients along the dorsolateral- ventromedial axis. When DL1 PNs (the first- born/
developed) begin to target their dendrites, this repulsive action could destabilize branches in the
ventromedial direction and thus favor dorsolateral targeting. This provides a plausible explanation as
to why the adPN rotation pattern begins at the dorsolateral position. It would be interesting to see if
the pattern is perturbed upon ablation of larval- specific ORNs.
Our new tools for labeling and genetic manipulation of distinct PN types (Figure 2) will now enable
in- depth investigations into the potential cellular interactions and molecular mechanisms leading to
the initial map organization.
Wiring logic evolves as development proceeds
After the initial map formation at 12 hr APF, dendrite positions in the antennal lobe could change
substantially in the next 36 hr (for example, see DC2 PNs in Figure 3B4–6 and DA1 and VA1d/DC3 PNs
in Figure 3C4–7). These changes occur when dendrites of PNs with neighboring birth order begin to
segregate and when ORN axons begin to invade the antennal lobe. Accordingly, the ovoid- shaped
antennal lobe turns into a globular shape (30–50 hr APF; Figure 3C6- 7). These PN- autonomous and
non- autonomous changes likely mask the initial wiring logic, explaining why previous studies, which
mostly focused on examining the final glomerular targets in adults (Jefferis et al., 2001), have missed
the earlier organization. Interestingly, the process of PN dendritic segregation coincides with the peak
of PN transcriptomic diversity at 24 hr APF (Li et al., 2017; Xie et al., 2021).
Recent proteomics and genetic analyses have indicated that PN dendrite targeting is mediated by
cell- surface proteins cooperating as a combinatorial code (Xie et al., 2022). The evolving wiring logic,
which is consistent with the stepwise assembly of an olfactory circuit (Hong and Luo, 2014), suggests
the combinatorial codes are not static. We propose that PNs use a numerically simpler code for initial
dendrite targeting. Following the expansion of transcriptomic diversity, PNs acquire a more complex
code mediating dendritic segregation of neighboring PNs and matching of PN dendrites and ORN
axons. Functional characterization of differentially expressed genes between 12 hr and 24 hr APF PNs
may provide molecular insights into how the degree of discreteness in the olfactory map arises.
Although the initial wiring logic is not apparent in the final map, several lines of evidence suggest
the final map depends on the initial map. First, as mentioned above, the change of the temporal
identity of DL1 PNs affects glomerular targeting (Zhu et al., 2006). Second, loss of Sema- 1a in DL1
PNs occasionally causes mistargeting in areas outside of the antennal lobe, and dendrite mistargeting
phenotype along the dorsolateral- ventromedial axis is persistent across development as well as in
adulthood (Komiyama et al., 2007). Our work thus demonstrates that identification of the wiring
logic in the early stages should help us better resolve the architectures in complex neural circuits.
Selective branch stabilization as a cellular mechanism for dendrite
targeting
Utilizing an early pupal brain explant culture system coupled with two- photon and AO- LLSM imaging
(Figure 5), we presented the first time- lapse videos following dendrite development of a specific PN
type – DL1 PNs (Figures 6 and 7). We found that DL1 PN dendrites initiate active targeting towards
their dorsolateral target with direction- dependent branch stabilization. This directional selectivity
provides a cellular basis for the emerging targeting specificity of PN dendrites at the beginning of
olfactory map formation.
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Although selective branch stabilization as a mechanism to achieve axon targeting specificity has
been described in neurons in the vertebrate and invertebrate systems (e.g. Yates et al., 2001; Li
et al., 2021), our time- lapse imaging showed, for the first time to our knowledge, that selective
branch stabilization is also used to achieve dendrite targeting specificity. Furthermore, AO- LLSM
imaging revealed that selective stabilization and destabilization of dendritic branches occur on the
timescale of seconds. As the rate of olfactory circuit development in the brain explants was slower
than normal development (Figure 5F), we might have captured PN dendritic dynamics in slow motion.
Using AO- LLSM for high spatiotemporal resolution imaging, we just begin to appreciate how fast PN
dendrites are coordinating trajectory choices with branch stabilization to make the appropriate deci-
sion. Having characterized the dendritic branch dynamics of the wild- type DL1 PNs, we have set the
stage for future studies addressing how positional cues and the downstream signaling instruct wiring,
and whether other PN types follow similar rules as DL1 PNs.
Simultaneous pruning and re-extension as novel remodeling mechanism
for neuronal remodeling
Our data on embryonic- born adPN dendrite development reveals a novel mode of neuronal remod-
eling during metamorphosis (Figure 8). In mushroom body γ neurons and body wall somatosen-
sory neurons, two well- characterized systems, larval- specific neurites are first pruned, followed by
re- extension of adult- specific processes (Watts et al., 2003; Williams and Truman, 2005; Yaniv and
Schuldiner, 2016). However, embryonic- born adPNs prune larval- specific dendrites and re- extend
adult- specific dendrites simultaneously but at spatially separated subcellular compartments. Such
spatial segregation suggests that regional external cues could elicit compartmentalized downstream
signals leading to opposite effects on the dendrites. Subcellular compartmentalization of signaling
and cytoskeletal organization has been observed in diverse neuron types across species (Rolls et al.,
2007; Kanamori et al., 2013; O’Hare et al., 2022).
Why do embryonic- born adPNs ‘rush’ to re- extend dendrites? During normal development, it takes
at least 18 hr for embryonic- born adPNs to produce and properly target dendrites (growth at 3–6 hr
APF, initial targeting at 6–12 hr APF, and segregation at 21–30 hr APF). Given that the dendritic
re- extension of embryonic- born PNs is ecdysone dependent (Figure 8—figure supplement 4), if the
PNs did not re- extend dendrites at 3 hr APF, they would have to wait for the next ecdysone surge
at ~20 hr APF (Thummel, 2001), which might be too late for their dendrites to engage in the proto-
typic map formation. Thus, embryonic- born PNs develop a remodeling strategy that coordinates with
the timing of systemic ecdysone release. By simultaneous pruning and re- extension, embryonic- born
adPNs timely re- integrate into the adult prototypic map that readily serves as a target for subsequent
ORN axon innervation.
In conclusion, our study highlights the power and necessity of type- specific neuronal access and
time- lapse imaging to identify wiring logic and mechanisms underlying the origin of an olfactory map.
Applying similar approaches to other developing neural maps across species should broaden our
understanding of the generic and specialized designs that give rise to functional maps with diverse
architectures.
Materials and methods
Drosophila stocks and husbandry
Flies were maintained on a standard cornmeal medium at 25 °C. Fly lines used in this study included
GH146- FLP (Hong et al., 2009), QUAS- FRT- stop- FRT- mCD8- GFP (Potter et al., 2010), UAS-
mCD8- GFP (Lee and Luo, 1999), UAS- mCD8- FRT- GFP- FRT- RFP (Stork et al., 2014), VT033006- GAL4
(Tirian and Dickson, 2017), Mz19- GAL4 (Jefferis et al., 2004), 91G04- GAL4 (Jenett et al., 2012),
Mz612- GAL4 (Marin et al., 2005), 71B05- GAL4 (Jenett et al., 2012), Split7- GAL4 (Xie et al., 2021),
QUAS- FLP (Potter et al., 2010), and UAS- EcR.B1-ΔC655.F645A (Cherbas et al., 2003). The following
GAL4 lines were obtained from Bloomington Drosophila Stock Center (BDSC): tsh- GAL4 (BDSC
#3040) and lov- GAL4 (BDSC #3737).
The following two stocks were used for MARCM analyses: (1) UAS- mCD8- GFP, hs- FLP; FRTG13, tub-
GAL80;; GH146- GAL4, and (2) FRTG13, UAS- mCD8- GFP (Lee and Luo, 1999).
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The following lines were generated in this study: UAS- FRT10- stop- FRT10- 3xHalo7- CAAX (on either
II or III chromosome), UAS- FRT- myr- 4xSNAPf- FRT- 3xHalo7- CAAX (III), UAS- FRT- myr- mGreenLantern-
FRT- 3xHalo7- CAAX (II), QUAS- FRT- stop- FRT- myr- 4xSNAPf (III), run- T2A- FLP (X), acj6- T2A- FLP (X),
acj6- T2A- QF2 (X), CG14322- T2A- QF2 (III), and lov- T2A- QF2 (II).
Drosophila genotypes
tub- GAL80/FRTG13, UAS- mCD8- GFP;;
supplement 1B: GH146- FLP/UAS- FRT10- stop- FRT10- 3xHalo7- CAAX;
supplement 1A: GH146- FLP/UAS- FRT10- stop- FRT10- 3xHalo7- CAAX;
Figure 1D, Figure 1—figure supplement 1, Figure 1—figure supplement 2: run- T2A- FLP/+;
UAS- mCD8- FRT- GFP- FRT- RFP/+; VT033006- GAL4/+
Figure 3A: acj6- T2A- QF2/+; GH146- FLP, QUAS- FRT- stop- FRT- mCD8- GFP/UAS- FRT10- stop-
FRT10- 3xHalo7- CAAX; 71B05- GAL4/+
Figure 3B, Figure 3—figure supplement 1C: GH146- FLP/UAS- FRT10- stop- FRT10- 3xHalo7-
CAAX; 91G04- GAL4/CG14322- T2A- QF2, QUAS- FRT- stop- FRT- myr- 4xSNAPf
Figure 3C: acj6- T2A- FLP/+; Mz19- GAL4; UAS- FRT- myr- 4xSNAPf- FRT- 3xHalo7- CAAX/+
Figure 3D, Figure 3—figure supplement 2, Figure 3—figure supplement 3: UAS- mCD8- GFP,
hs- FLP/+; FRTG13, tub- GAL80/FRTG13, UAS- mCD8- GFP;; GH146- GAL4 (IV)/+
Figure 3—figure
71B05- GAL4/+
Figure 3—figure
91G04- GAL4/+
Figure 3—video 1: Please refer to Figure 3 for genotypes.
Figure 4A, Figure 4—figure supplement 1: GH146- FLP, UAS- FRT10- stop- FRT10- 3xHalo7-
CAAX/tsh- GAL4; CG14322- T2A- QF2, QUAS- FRT- stop- FRT- myr- 4xSNAPf/+
Figure 4B: UAS- mCD8- GFP, hs- FLP/+; FRTG13,
GH146- GAL4 (IV)/+
Figure 8—figure supplement 2: acj6- T2A- FLP/+; tsh- GAL4, UAS- mCD8- FRT- GFP- FRT- RFP
Figure 4—video 1: Please refer to Figure 4 for genotypes.
Figure 5E, Figure 5—video 1: run- T2A- FLP/+; UAS- FRT- myr- mGreenLantern- FRT- 3xHalo7-
CAAX/+; VT033006- GAL4/+
Figure 5F: UAS- mCD8- GFP/+; VT033006- GAL4/+
Figure 5G1: GH146- FLP/UAS- FRT10- stop- FRT10- 3xHalo7- CAAX; 71B05- GAL4/+
Figure 5G2: GH146- FLP/tsh- GAL4; UAS- FRT10- stop- FRT10- 3xHalo7- CAAX/+
Figure 5—figure supplement 1, Figure 5—video 2: acj6- T2A- FLP/+; Mz19- GAL4/
UAS- FRT- myr- mGreenLantern- FRT- 3xHalo7- CAAX
Figure 6A, Figure 6—figure supplement 1, Figure 6—video 1: UAS- mCD8- GFP, hs- FLP/+;
FRTG13, tub- GAL80/FRTG13, UAS- mCD8- GFP;; GH146- GAL4 (IV)/+
Figure 7A–C, Figure 7—figure supplement 1, Figure 7—videos 1–3: acj6- T2A- QF2/+;
QUAS- FRT- stop- FRT- mCD8- GFP/UAS- FRT10- stop- FRT10- 3xHalo7- CAAX;
GH146- FLP,
71B05- GAL4/+
Figure 8A, Figure 8—figure supplement 1: GH146- FLP, QUAS- FRT- stop- FRT- mCD8- GFP/lov-
T2A- QF2; UAS- FRT10- stop- FRT10- 3xHalo7- CAAX/91G04- GAL4
8C:
Figure
QUAS- FRT- stop- FRT- myr- 4xSNAPf
Figure 8D, Figure 8—figure supplement 3, Figure 8—video 2: UAS- mCD8- GFP/+;
Split7- GAL4 (i.e. FlyLight SS01867: 72C11- p65ADZp; VT033006- ZpGDBD)/+
Figure 8—figure supplement 2: GH146- FLP, QUAS- FRT- stop- FRT- mCD8- GFP/lov- T2A- QF2,
Mz612- GAL4; UAS- FRT10- stop- FRT10- 3xHalo7- CAAX/+
Figure 8—figure
UAS- mCD8- FRT- GFP- FRT- RFP
Figure 8—figure supplement 4B: lov- T2A- QF2, QUAS- FLP/UAS- EcR- DN; VT033006- GAL4/
UAS- mCD8- FRT- GFP- FRT- RFP
Figure 8—video 1: Please refer to Figure 8 for genotypes.
lov- T2A- QF2, QUAS- FLP/+; VT033006- GAL4/
UAS- FRT10- stop- FRT10- 3xHalo7- CAAX/
GH146- FLP/lov- GAL4;
supplement 4A:
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MARCM clonal analyses
MARCM clonal analyses have been previously described (Lee and Luo, 1999). Larvae of the genotype
UAS- mCD8- GFP, hs- FLP/+; FRTG13, tub- GAL80/FRTG13, UAS- mCD8- GFP;; GH146- GAL4/+ were heat
shocked at 37 °C for 1 hr. To label the first- born DL1 PNs, heat shock was applied at 0–24 hr after larval
hatching (ALH). MARCM clones of early, middle (mid- late for adPNs), and late larval- born PNs were
generated by applying heat shocks at 42–48 hr, 66–72 hr, and 96–100 hr ALH, respectively. As larvae
developed at different rates (Tennessen and Thummel, 2011), we reasoned that even if we could collect
0 hr–2 hr ALH larvae, their development might have varied by the time of heat shock. To minimize the
effects of unsynchronized development, we selected those heat- shocked larvae that were among the
first to form puparia and collected these white pupae in a ~3 hr window for the clonal analyses.
Transcriptomic analyses
Transcriptomic analyses have been described previously (Xie et al., 2021). tSNE plots and dot plots
were generated in Python using PN single- cell RNA sequencing data and code available at https://
github.com/Qijing-Xie/FlyPN_development (Xie, 2021).
Generation of T2A-QF2/FLP lines
To generate a T2A- QF2/FLP donor vector for acj6 (we used the same strategy for run, CG14322
and lov), a ~2000 bp genomic sequence flanking the stop codon of acj6 was PCR amplified and
introduced into pCR- Blunt II- TOPO (ThermoFisher Scientific #450245), forming pTOPO- acj6. To build
pTopo- acj6- T2A- QF2, T2A- QF2 including loxP- flanked 3xP3- RFP was PCR amplified from pBPGUw-
HACK- QF2 (Addgene #80276), followed by insertion into pTOPO- acj6 right before the stop codon of
acj6 by DNA assembly (New England BioLabs #E2621S). To generate T2A- FLP, we PCR- amplified FLP
from the genomic DNA of GH146- FLP strain. QF2 in pTopo- acj6- T2A- QF2 was then replaced by FLP
through DNA assembly. Using CRISPR Optimal Target Finder (Gratz et al., 2014), we selected a 20 bp
gRNA target sequence that flanked the stop codon and cloned it into pU6- BbsI- chiRNA (Addgene
#45946). If the gRNA sequence did not flank the stop codon, silent mutations were introduced at the
PAM site of the donor vector by site- directed mutagenesis. Donor and gRNA vectors were co- injected
into Cas9 embryos in- house or through BestGene.
Generation of FLP-out reporters
To generate pUAS- FRT10- stop- FRT10- 3xHalo7- CAAX, FRT10- stop- FRT10 was PCR amplified from pUAS-
FRT10- stop- FRT10- mCD8- GFP (Li et al., 2021) and inserted into pUAS- 3xHalo7- CAAX (Addgene
#87646) through NotI and DNA assembly.
To generate pUAS- FRT- myr- 4xSNAPf- FRT- 3xHalo7- CAAX, we first PCR amplified myr- 4xSNAPf
from pUAS- myr- 4xSNAPf (Addgene #87637) using FRT- containing primers. FRT- myr- 4xSNAPf- FRT
was then introduced into pCR- Blunt II- TOPO, forming pTOPO- FRT- myr- 4xSNAPf- FRT. Using NotI-
containing primers, FRT- myr- 4xSNAPf- FRT was PCR amplified and subcloned into pUAS- 3xHalo7-
CAAX through NotI.
To generate pUAS- FRT- myr- mGreenLantern- FRT- 3xHalo7- CAAX, we first PCR amplified mGreen-
Lantern from pcDNA3.1- mGreenLantern (Addgene #161912). Using MluI and XbaI, we replaced
4xSNAPf in pUAS- myr- 4xSNAPf with mGreenLantern to build pUAS- myr- mGreenLantern. myr-
mGreenLantern was PCR amplified with the introduction of FRT sequence, followed by insertion into
pCR- Blunt II- TOPO. Using the NotI- containing primers, FRT- myr- mGreenLantern- FRT was PCR ampli-
fied and subcloned into pUAS- 3xHalo7- CAAX through NotI.
To generate pQUAS- FRT- stop- FRT- myr- 4xSNAPf, we first PCR amplified FRT- stop from pJFRC7-
20XUAS- FRT- stop- FRT- mCD8- GFP (Li et al., 2021) and inserted it into pTOPO- FRT- myr- 4xSNAPf- FRT
through DNA assembly to form pTOPO- FRT- stop- FRT- myr- 4xSNAPf- FRT. Using NotI- containing
forward and KpnI- containing reverse primers, FRT- stop- FRT- myr- 4xSNAPf was PCR amplified and
subcloned into p10XQUAST. p10XQUAST was generated using p5XQUAS (Addgene #24349) and
p10xQUAS- CsChrimson (Addgene #163629).
attP24 and 86Fb landing sites were used for site- directed integration.
Immunofluorescence staining and confocal imaging
Fly brain dissection for immunostaining and live imaging has been described (Wu and Luo,
2006). Briefly, brains were dissected in phosphate- buffered saline (PBS) and fixed with 4%
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paraformaldehyde in PBS for 20 min on a nutator at room temperature. Fixed brains were washed
with 0.1% Triton X- 100 in PBS (PBST) for 10 min twice. After blocking with 5% normal donkey
serum in PBST for 1 hr at room temperature, the brains were incubated with primary antibodies
overnight at 4 °C. After PBST wash, brains were incubated with secondary antibodies (1:1000;
Jackson ImmunoResearch) in dark for 2 hr at room temperature. Washed and mounted brains
were imaged with confocal laser scanning microscopy (ZEISS LSM 780; LSM 900 with Airyscan 2).
Images were processed with ImageJ. Neurite tracing images were generated using Simple Neurite
Tracer (SNT) (Arshadi et al., 2021). Primary antibodies used included chicken anti- GFP (1:1000;
Aves Lab #GFP- 1020), rabbit anti- DsRed (1:500; TaKaRa #632496), rat anti- Cadherin DN (1:30;
Developmental Studies Hybridoma Bank DSHB DN- Ex#8 supernatant), and mouse anti- Bruchpilot
(1:30; DSHB nc82 supernatant).
Chemical labeling
Chemical labeling of Drosophila brains has been described (Kohl et al., 2014). Janelia Fluor (JF) Halo
and SNAP ligands (stocks at 1 mM) were gifts from Dr. Luke Lavis (Grimm et al., 2017; Grimm et al.,
2021).
Fixed brains were washed with PBST for 5 min, followed by incubation with Halo and/or SNAP
ligands (diluted in PBS) for 45 min at room temperature. Brains were then washed with PBST for
5 min, followed by blocking and immunostaining if necessary. For the co- incubation of Halo and
SNAP ligands, JF503- cpSNAP (1:1000) and JF646- Halo (1:1000) were used. Alternatively, JFX650-
SNAP (1:1000) and JFX554- Halo (1:10,000) were used. When only Halo ligands were needed, either
JF646- Halo or JF635- Halo (1:1000) was used.
For live brain imaging, dissected brains were incubated with Halo ligands diluted in culture media
(described below) for 30 min at room temperature. For two- photon imaging, JF570- Halo was used at
1:5000. For AO- LLSM imaging, following JF646- Halo incubation at 1:1000, the brains were incubated
with 1 µM Sulforhodamine 101 (Sigma) for 5 min at room temperature. The brains were then briefly
washed with culture media before imaging.
Brain explant culture setup and medium preparation
Brain explant culture setup was modified based on Li et al., 2021; Li and Luo, 2021. A Sylgard plate
with a thickness of ~2 millimeters was prepared by mixing base and curing agent at 10:1 ratio (DOW
SYLGARD 184 Silicone Elastomer Kit). The mixture was poured into a 60 mm × 15 mm dish in which
it was cured for two days at room temperature. Once cured, the plate was cut into small squares
(~15 mm × ~15 mm). Indentations were created based on the size of an early pupal brain using a
No.11 scalpel. Additional slits were made around the indentations for attaching imaginal discs which
served as anchors to hold the brain position. A square Sylgard piece was then placed in a 60 mm ×
15 mm dish or on a 25 mm round coverslip in preparation for two- photon/AO- LLSM imaging.
Culture medium was prepared based on published methods (Rabinovich et al., 2015; Li and Luo,
2021; Li et al., 2021). The medium contained Schneider’s Drosophila Medium (ThermoFisher Scientific
#21720001), 10% heat- inactivated Fetal Bovine Serum (ThermoFisher Scientific #16140071), 10 µg/mL
human recombinant insulin (ThermoFisher Scientific #12585014; stock = 4 mg/mL), 1:100 Penicillin-
Streptomycin (ThermoFisher Scientific #15140122). For 0 hr–6 hr APF brain culture, 0.5 mM ascorbic
acid (Sigma #A4544; stock concentration = 50 mg/mL in water) was included. 20- hydroxyecdysone
(Sigma #H5142; stock concentration = 1 mg/mL in ethanol) was used for 0 hr–6 hr and 12 hr brain
explants at 20 µM and 2 µM, respectively. Culture medium was oxygenated for 20 min before use.
Single- and dual-color imaging with two-photon microscopy
Single- and dual- color imaging of PNs were performed at room temperature using a custom- built
two- photon microscope (Prairie Technologies) with a Chameleon Ti:Sapphire laser (Coherent) and a
16 X water- immersion objective (0.8 NA; Nikon). Excitation wavelength was set at 920 nm for GFP
imaging, and at 935 nm for co- imaging of mGreenLantern and JF570- Halo. z- stacks were obtained at
4 µm increments (10 µm increments for Figure 5—video 1). Images were acquired at a resolution of
1024 × 1024 pixel2 (512 × 512 for Figure 5—video 1), with a pixel dwell time of 6.8 µs and an optical
zoom of 2.1, and at a frequency every 20 min for 8–23 hr.
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Dual-color imaging with AO-LLSM
For AO- LLSM- based imaging, the excitation and detection objectives along with the 25 mm coverslip
were immersed in ~40 mL of culture medium at room temperature. Explant brains held on Sylgard
plate were excited simultaneously using 488 nm (for GFP) and 642 nm (for JF- 646) lasers operating
with ~2–10 mW input power to the microscope (corresponding to ~10–50 µW at the back aperture
of the excitation objective). An exposure time of 20–50 msec was used to balance imaging speed and
signal- to- noise ratio (SNR). Dithered lattice light- sheet patterns with an inner/outer numerical aperture
of 0.35/0.4 or 0.38/0.4 were used. The optical sections were collected by an axial step size of 250 nm
in the detection objective coordinate, with a total of 81–201 steps (corresponding to a total axial
scan range of 20–50 µm). Emission light from GFP and JF- 646 was separated by a dichromatic mirror
(Di03- R561, Semrock, IDEX Health & Science, LLC, Rochester, NY) and captured by two Hamamatsu
ORCA- Fusion sCMOS cameras simultaneously (Hamamatsu Photonics, Hamamatsu City, Japan). Prior
to the acquisition of the time series data, the imaged volume was corrected for optical aberrations
using a two- photon guide star- based adaptive optics method (Chen et al., 2014; Wang et al., 2014;
Liu et al., 2018). Each imaged volume was deconvolved using Richardson- Lucy algorithm on HHMI
Janelia Research Campus’ or Advanced Bioimaging Center’s computing cluster (https://github.com/
scopetools/cudadecon, Lambert et al., 2023; https://github.com/abcucberkeley/LLSM3DTools, Ruan
and Upadhyayula, 2020) with experimentally measured point spread functions obtained from 100 or
200 nm fluorescent beads (Invitrogen FluoSpheres Carboxylate- Modified Microspheres, 505/515 nm,
F8803, FF8811). The AO- LLSM was operated using a custom LabVIEW software (National Instruments,
Woburn, MA).
Statistics
For data analyses, t- test and one- way ANOVA were used to determine p values as indicated in the
figure legend for each graph, and graphs were generated using Excel. Exact p values were provided
in source data files.
Material and data availability
All reagents generated in this study are available from the lead corresponding author upon request.
Figure 3—figure supplement 3—source data 1, Figure 6—source data 1, and Figure 7—source
data 1 contain the numerical and statistical data used to generate the figures. The confocal imaging
dataset is available at Brain Image Library under DOI https://doi.org/10.35077/g.933.
Acknowledgements
We thank the Luo lab members for constructive feedback on the manuscript; Tzumin Lee for sharing
equipment at Janelia Research Campus; Luke Lavis for sharing JF dyes. This work was supported by
a grant from NIH (R01 DC005982 to LL). TL was supported by NIH 1K99DC01883001. GL and SU are
funded by Philomathia Foundation. SU is funded by the Chan Zuckerberg Initiative Imaging Scientist
program. SU is a Chan Zuckerberg Biohub Investigator. EB and LL are HHMI investigators.
Additional information
Funding
Funder
National Institutes of
Health
Philomathia Foundation
Chan Zuckerberg Initiative
National Institutes of
Health
Grant reference number Author
R01 DC005982
Liqun Luo
Gaoxiang Liu
Srigokul Upadhyayula
Srigokul Upadhyayula
1K99DC01883001
Tongchao Li
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Funder
Grant reference number Author
Howard Hughes Medical
Institute
Eric Betzig
Liqun Luo
The funders had no role in study design, data collection and interpretation, or the
decision to submit the work for publication.
Author contributions
Kenneth Kin Lam Wong, Conceptualization, Data curation, Formal analysis, Investigation, Visualization,
Methodology, Writing - original draft; Tongchao Li, Resources, Investigation, Methodology, Writing
– review and editing; Tian- Ming Fu, Gaoxiang Liu, Resources, Data curation, Investigation, Meth-
odology, Writing – review and editing; Cheng Lyu, Resources, Methodology, Writing – review and
editing; Sayeh Kohani, Data curation, Investigation; Qijing Xie, Data curation, Investigation, Writing
– review and editing; David J Luginbuhl, Resources, Data curation, Writing – review and editing;
Srigokul Upadhyayula, Eric Betzig, Resources, Supervision, Writing – review and editing; Liqun Luo,
Conceptualization, Supervision, Funding acquisition, Investigation, Methodology, Project administra-
tion, Writing – review and editing
Author ORCIDs
Kenneth Kin Lam Wong
Tian- Ming Fu
Liqun Luo
http://orcid.org/0000-0001-6265-0859
http://orcid.org/0000-0001-5467-9264
http://orcid.org/0000-0002-5597-4051
Decision letter and Author response
Decision letter https://doi.org/10.7554/eLife.85521.sa1
Author response https://doi.org/10.7554/eLife.85521.sa2
Additional files
Supplementary files
• Supplementary file 1. Sample variability among individual brains. A supplemental table describing
the biological and technical variations we observed among individual brain samples, and measures
we took to minimize them, if possible.
• MDAR checklist
Data availability
Figure 3—source data 1, Figure 5—source data 1, Figure 6—source data 1, and Figure 7—source
data 1 contain the numerical and statistical data used to generate the figures. The confocal imaging
dataset is available at Brain Image Library under DOI https://doi.org/10.35077/g.933.
The following dataset was generated:
Author(s)
Wong KLK
Year
2023
Dataset title
Dataset URL
Database and Identifier
https:// doi. org/ 10.
35077/ g. 933
Brain Image Library,
10.35077/g.933
Origin of wiring specificity
in an olfactory map
revealed by neuron
type- specific, time- lapse
imaging of dendrite
targeting: Confocal
imaging of developing fly
brain
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The following previously published dataset was used:
Dataset title
Dataset URL
Database and Identifier
Temporal evolution of
single- cell transcriptomes
of Drosophila olfactory
projection neurons
https://www. ncbi.
nlm. nih. gov/ geo/
query/ acc. cgi? acc=
GSE161228
NCBI Gene Expression
Omnibus, GSE161228
Year
2021
Author(s)
Xie Q, Brbic M, Horns
F, Kolluru SS, Jones
RC, Li J, Reddy AR,
Xie A, Kohani S, Li
Z, McLaughlin CN,
Li T, Xu C, Vacek
D, Luginbuhl DJ,
Leskovec J, Quake
SR, Luo L Li H
References
Arshadi C, Günther U, Eddison M, Harrington KIS, Ferreira TA. 2021. Snt: a unifying toolbox for quantification of
neuronal anatomy. Nature Methods 18:374–377. DOI: https://doi.org/10.1038/s41592-021-01105-7, PMID:
33795878
Berdnik D, Chihara T, Couto A, Luo L. 2006. Wiring stability of the adult Drosophila olfactory circuit after lesion.
The Journal of Neuroscience 26:3367–3376. DOI: https://doi.org/10.1523/JNEUROSCI.4941-05.2006, PMID:
16571743
Berns DS, DeNardo LA, Pederick DT, Luo L. 2018. Teneurin- 3 controls topographic circuit assembly in the
hippocampus. Nature 554:328–333. DOI: https://doi.org/10.1038/nature25463, PMID: 29414938
Campbell BC, Nabel EM, Murdock MH, Lao- Peregrin C, Tsoulfas P, Blackmore MG, Lee FS, Liston C, Morishita H,
Petsko GA. 2020. MGreenLantern: a bright monomeric fluorescent protein with rapid expression and cell filling
properties for neuronal imaging. PNAS 117:30710–30721. DOI: https://doi.org/10.1073/pnas.2000942117,
PMID: 33208539
Cang J, Feldheim DA. 2013. Developmental mechanisms of topographic MAP formation and alignment. Annual
Review of Neuroscience 36:51–77. DOI: https://doi.org/10.1146/annurev-neuro-062012-170341, PMID:
23642132
Chen BC, Legant WR, Wang K, Shao L, Milkie DE, Davidson MW, Janetopoulos C, Wu XS, Hammer JA, Liu Z,
English BP, Mimori- Kiyosue Y, Romero DP, Ritter AT, Lippincott- Schwartz J, Fritz- Laylin L, Mullins RD,
Mitchell DM, Bembenek JN, Reymann AC, et al. 2014. Lattice light- sheet microscopy: imaging molecules to
embryos at high spatiotemporal resolution. Science 346:1257998. DOI: https://doi.org/10.1126/science.
1257998, PMID: 25342811
Cherbas L, Hu X, Zhimulev I, Belyaeva E, Cherbas P. 2003. EcR isoforms in Drosophila: testing tissue- specific
requirements by targeted blockade and rescue. Development 130:271–284. DOI: https://doi.org/10.1242/dev.
00205, PMID: 12466195
Diao F, White BH. 2012. A novel approach for directing transgene expression in Drosophila: T2A- gal4 in- frame
fusion. Genetics 190:1139–1144. DOI: https://doi.org/10.1534/genetics.111.136291, PMID: 22209908
Doe CQ. 2017. Temporal patterning in the Drosophila CNS. Annual Review of Cell and Developmental Biology
33:219–240. DOI: https://doi.org/10.1146/annurev-cellbio-111315-125210, PMID: 28992439
Erclik T, Li X, Courgeon M, Bertet C, Chen Z, Baumert R, Ng J, Koo C, Arain U, Behnia R, del Valle Rodriguez A,
Senderowicz L, Negre N, White KP, Desplan C. 2017. Integration of temporal and spatial patterning generates
neural diversity. Nature 541:365–370. DOI: https://doi.org/10.1038/nature20794, PMID: 28077877
Gao Q, Yuan B, Chess A. 2000. Convergent projections of Drosophila olfactory neurons to specific glomeruli in
the antennal lobe. Nature Neuroscience 3:780–785. DOI: https://doi.org/10.1038/77680, PMID: 10903570
Gratz SJ, Ukken FP, Rubinstein CD, Thiede G, Donohue LK, Cummings AM, O’Connor- Giles KM. 2014. Highly
specific and efficient CRISPR/Cas9- catalyzed homology- directed repair in Drosophila. Genetics 196:961–971.
DOI: https://doi.org/10.1534/genetics.113.160713, PMID: 24478335
Grimm JB, Muthusamy AK, Liang Y, Brown TA, Lemon WC, Patel R, Lu R, Macklin JJ, Keller PJ, Ji N, Lavis LD.
2017. A general method to fine- tune fluorophores for live- cell and in vivo imaging. Nature Methods 14:987–
994. DOI: https://doi.org/10.1038/nmeth.4403, PMID: 28869757
Grimm JB, Xie L, Casler JC, Patel R, Tkachuk AN, Falco N, Choi H, Lippincott- Schwartz J, Brown TA, Glick BS,
Liu Z, Lavis LD. 2021. A general method to improve fluorophores using deuterated auxochromes. JACS Au
1:690–696. DOI: https://doi.org/10.1021/jacsau.1c00006, PMID: 34056637
Holguera I, Desplan C. 2018. Neuronal specification in space and time. Science 362:176–180. DOI: https://doi.
org/10.1126/science.aas9435, PMID: 30309944
Hong W, Zhu H, Potter CJ, Barsh G, Kurusu M, Zinn K, Luo L. 2009. Leucine- Rich repeat transmembrane proteins
instruct discrete dendrite targeting in an olfactory MAP. Nature Neuroscience 12:1542–1550. DOI: https://doi.
org/10.1038/nn.2442, PMID: 19915565
Hong W, Mosca TJ, Luo L. 2012. Teneurins instruct synaptic partner matching in an olfactory MAP. Nature
484:201–207. DOI: https://doi.org/10.1038/nature10926, PMID: 22425994
Hong W, Luo L. 2014. Genetic control of wiring specificity in the fly olfactory system. Genetics 196:17–29. DOI:
https://doi.org/10.1534/genetics.113.154336, PMID: 24395823
Wong et al. eLife 2023;12:e85521. DOI: https://doi.org/10.7554/eLife.85521
27 of 33
Developmental Biology | Neuroscience
Research article
Isshiki T, Pearson B, Holbrook S, Doe CQ. 2001. Drosophila neuroblasts sequentially express transcription factors
which specify the temporal identity of their neuronal progeny. Cell 106:511–521. DOI: https://doi.org/10.1016/
s0092-8674(01)00465-2, PMID: 11525736
Jefferis GSXE, Marin EC, Stocker RF, Luo L. 2001. Target neuron prespecification in the olfactory map of
Drosophila. Nature 414:204–208. DOI: https://doi.org/10.1038/35102574, PMID: 11719930
Jefferis G, Vyas RM, Berdnik D, Ramaekers A, Stocker RF, Tanaka NK, Ito K, Luo L. 2004. Developmental origin
of wiring specificity in the olfactory system of Drosophila. Development 131:117–130. DOI: https://doi.org/10.
1242/dev.00896, PMID: 14645123
Jenett A, Rubin GM, Ngo T- TB, Shepherd D, Murphy C, Dionne H, Pfeiffer BD, Cavallaro A, Hall D, Jeter J,
Iyer N, Fetter D, Hausenfluck JH, Peng H, Trautman ET, Svirskas RR, Myers EW, Iwinski ZR, Aso Y,
DePasquale GM, et al. 2012. A GAL4- driver line resource for Drosophila neurobiology. Cell Reports 2:991–
1001. DOI: https://doi.org/10.1016/j.celrep.2012.09.011, PMID: 23063364
Kanamori T, Kanai MI, Dairyo Y, Yasunaga K, Morikawa RK, Emoto K. 2013. Compartmentalized calcium
transients trigger dendrite pruning in Drosophila sensory neurons. Science 340:1475–1478. DOI: https://doi.
org/10.1126/science.1234879, PMID: 23722427
Kohl J, Ng J, Cachero S, Ciabatti E, Dolan MJ, Sutcliffe B, Tozer A, Ruehle S, Krueger D, Frechter S, Branco T,
Tripodi M, Jefferis G. 2014. Ultrafast tissue staining with chemical tags. PNAS 111:E3805–E3814. DOI: https://
doi.org/10.1073/pnas.1411087111, PMID: 25157152
Komiyama T, Johnson WA, Luo L, Jefferis GSXE. 2003. From lineage to wiring specificity: POU domain
transcription factors control precise connections of Drosophila olfactory projection neurons. Cell 112:157–167.
DOI: https://doi.org/10.1016/s0092-8674(03)00030-8, PMID: 12553905
Komiyama T, Luo L. 2007. Intrinsic control of precise dendritic targeting by an ensemble of transcription factors.
Current Biology 17:278–285. DOI: https://doi.org/10.1016/j.cub.2006.11.067, PMID: 17276922
Komiyama T, Sweeney LB, Schuldiner O, Garcia KC, Luo L. 2007. Graded expression of semaphorin- 1a cell-
autonomously directs dendritic targeting of olfactory projection neurons. Cell 128:399–410. DOI: https://doi.
org/10.1016/j.cell.2006.12.028, PMID: 17254975
Lambert L, Shao L, dmilkie. 2023. cudaDecon. GitHub. https://github.com/scopetools/cudadecon
Lee T, Luo L. 1999. Mosaic analysis with a repressible cell marker for studies of gene function in neuronal
morphogenesis. Neuron 22:451–461. DOI: https://doi.org/10.1016/s0896-6273(00)80701-1, PMID: 10197526
Lee T, Marticke S, Sung C, Robinow S, Luo L. 2000. Cell- Autonomous requirement of the USP/ecr- B ecdysone
receptor for mushroom body neuronal remodeling in Drosophila. Neuron 28:807–818. DOI: https://doi.org/10.
1016/s0896-6273(00)00155-0, PMID: 11163268
Lee HH, Jan LY, Jan YN. 2009. Drosophila IKK- related kinase ik2 and katanin p60- like 1 regulate dendrite pruning
of sensory neuron during metamorphosis. PNAS 106:6363–6368. DOI: https://doi.org/10.1073/pnas.
0902051106, PMID: 19329489
Li X, Erclik T, Bertet C, Chen Z, Voutev R, Venkatesh S, Morante J, Celik A, Desplan C. 2013. Temporal patterning
of Drosophila medulla neuroblasts controls neural fates. Nature 498:456–462. DOI: https://doi.org/10.1038/
nature12319, PMID: 23783517
Li H, Horns F, Wu B, Xie Q, Li J, Li T, Luginbuhl DJ, Quake SR, Luo L. 2017. Classifying Drosophila olfactory
projection neuron subtypes by single- cell RNA sequencing. Cell 171:1206–1220. DOI: https://doi.org/10.1016/
j.cell.2017.10.019, PMID: 29149607
Li T, Fu TM, Wong KKL, Li H, Xie Q, Luginbuhl DJ, Wagner MJ, Betzig E, Luo L. 2021. Cellular bases of olfactory
circuit assembly revealed by systematic time- lapse imaging. Cell 184:5107–5121. DOI: https://doi.org/10.1016/
j.cell.2021.08.030, PMID: 34551316
Li T, Luo L. 2021. An explant system for time- lapse imaging studies of olfactory circuit assembly in Drosophila.
Journal of Visualized Experiments 2021:176. DOI: https://doi.org/10.3791/62983, PMID: 34723938
Lin S, Kao CF, Yu HH, Huang Y, Lee T. 2012. Lineage analysis of Drosophila lateral antennal lobe neurons reveals
notch- dependent binary temporal fate decisions. PLOS Biology 10:e1001425. DOI: https://doi.org/10.1371/
journal.pbio.1001425, PMID: 23185131
Liu Z, Yang CP, Sugino K, Fu CC, Liu LY, Yao X, Lee LP, Lee T. 2015. Opposing intrinsic temporal gradients guide
neural stem cell production of varied neuronal fates. Science 350:317–320. DOI: https://doi.org/10.1126/
science.aad1886, PMID: 26472907
Liu TL, Upadhyayula S, Milkie DE, Singh V, Wang K, Swinburne IA, Mosaliganti KR, Collins ZM, Hiscock TW,
Shea J, Kohrman AQ, Medwig TN, Dambournet D, Forster R, Cunniff B, Ruan Y, Yashiro H, Scholpp S,
Meyerowitz EM, Hockemeyer D, et al. 2018. Observing the cell in its native state: imaging subcellular dynamics
in multicellular organisms. Science 360:eaaq1392. DOI: https://doi.org/10.1126/science.aaq1392, PMID:
29674564
Luo L, Flanagan JG. 2007. Development of continuous and discrete neural maps. Neuron 56:284–300. DOI:
https://doi.org/10.1016/j.neuron.2007.10.014, PMID: 17964246
Luo L. 2021. Architectures of neuronal circuits. Science 373:eabg7285. DOI: https://doi.org/10.1126/science.
abg7285
Marin EC, Watts RJ, Tanaka NK, Ito K, Luo L. 2005. Developmentally programmed remodeling of the Drosophila
olfactory circuit. Development 132:725–737. DOI: https://doi.org/10.1242/dev.01614, PMID: 15659487
Mark B, Lai SL, Zarin AA, Manning L, Pollington HQ, Litwin- Kumar A, Cardona A, Truman JW, Doe CQ. 2021. A
developmental framework linking neurogenesis and circuit formation in the Drosophila CNS. eLife 10:e67510.
DOI: https://doi.org/10.7554/eLife.67510, PMID: 33973523
Wong et al. eLife 2023;12:e85521. DOI: https://doi.org/10.7554/eLife.85521
28 of 33
Developmental Biology | Neuroscience
Research article
Mayseless O, Berns DS, Yu XM, Riemensperger T, Fiala A, Schuldiner O. 2018. Developmental coordination
during olfactory circuit remodeling in Drosophila. Neuron 99:1204–1215.. DOI: https://doi.org/10.1016/j.
neuron.2018.07.050, PMID: 30146303
Miyares RL, Lee T. 2019. Temporal control of Drosophila central nervous system development. Current Opinion
in Neurobiology 56:24–32. DOI: https://doi.org/10.1016/j.conb.2018.10.016, PMID: 30500514
Mombaerts P, Wang F, Dulac C, Chao SK, Nemes A, Mendelsohn M, Edmondson J, Axel R. 1996. Visualizing an
olfactory sensory map. Cell 87:675–686. DOI: https://doi.org/10.1016/s0092-8674(00)81387-2, PMID: 8929536
Murthy VN. 2011. Olfactory maps in the brain. Annual Review of Neuroscience 34:233–258. DOI: https://doi.
org/10.1146/annurev-neuro-061010-113738, PMID: 21692659
O’Hare JK, Gonzalez KC, Herrlinger SA, Hirabayashi Y, Hewitt VL, Blockus H, Szoboszlay M, Rolotti SV,
Geiller TC, Negrean A, Chelur V, Polleux F, Losonczy A. 2022. Compartment- Specific tuning of dendritic feature
selectivity by intracellular Ca2+ release. Science 375:eabm1670. DOI: https://doi.org/10.1126/science.
abm1670, PMID: 35298275
Özel MN, Langen M, Hassan BA, Hiesinger PR. 2015. Filopodial dynamics and growth cone stabilization in
Drosophila visual circuit development. eLife 4:e10721. DOI: https://doi.org/10.7554/eLife.10721, PMID:
26512889
Pederick DT, Lui JH, Gingrich EC, Xu C, Wagner MJ, Liu Y, He Z, Quake SR, Luo L. 2021. Reciprocal repulsions
instruct the precise assembly of parallel hippocampal networks. Science 372:1068–1073. DOI: https://doi.org/
10.1126/science.abg1774, PMID: 34083484
Potter CJ, Tasic B, Russler EV, Liang L, Luo L. 2010. The Q system: a repressible binary system for transgene
expression, lineage tracing, and mosaic analysis. Cell 141:536–548. DOI: https://doi.org/10.1016/j.cell.2010.02.
025, PMID: 20434990
Rabinovich D, Mayseless O, Schuldiner O. 2015. Long term ex vivo culturing of Drosophila brain as a method to
live image pupal brains: insights into the cellular mechanisms of neuronal remodeling. Frontiers in Cellular
Neuroscience 9:327. DOI: https://doi.org/10.3389/fncel.2015.00327, PMID: 26379498
Riabinina O, Luginbuhl D, Marr E, Liu S, Wu MN, Luo L, Potter CJ. 2015. Improved and expanded Q- system
reagents for genetic manipulations. Nature Methods 12:219–222, . DOI: https://doi.org/10.1038/nmeth.3250,
PMID: 25581800
Rolls MM, Satoh D, Clyne PJ, Henner AL, Uemura T, Doe CQ. 2007. Polarity and intracellular
compartmentalization of Drosophila neurons. Neural Development 2:7. DOI: https://doi.org/10.1186/1749-
8104-2-7, PMID: 17470283
Ruan X, Upadhyayula S. 2020. Llsm3Dtools: Tools for the analysis of 3D live images from lattice light- sheet
microscopy (LLSM). d482a69. GitHub. https://github.com/abcucberkeley/LLSM3DTools
Sen SQ. 2023. Generating neural diversity through spatial and temporal patterning. Seminars in Cell &
Developmental Biology 142:54–66. DOI: https://doi.org/10.1016/j.semcdb.2022.06.002, PMID: 35738966
Stork T, Sheehan A, Tasdemir- Yilmaz OE, Freeman MR. 2014. Neuron- Glia interactions through the heartless
FGF receptor signaling pathway mediate morphogenesis of Drosophila astrocytes. Neuron 83:388–403. DOI:
https://doi.org/10.1016/j.neuron.2014.06.026, PMID: 25033182
Sutcliffe B, Ng J, Auer TO, Pasche M, Benton R, Jefferis GSXE, Cachero S. 2017. Second- Generation Drosophila
chemical tags: sensitivity, versatility, and speed. Genetics 205:1399–1408. DOI: https://doi.org/10.1534/
genetics.116.199281, PMID: 28209589
Sweeney LB, Chou YH, Wu Z, Joo W, Komiyama T, Potter CJ, Kolodkin AL, Garcia KC, Luo L. 2011. Secreted
semaphorins from degenerating larval Orn axons direct adult projection neuron dendrite targeting. Neuron
72:734–747. DOI: https://doi.org/10.1016/j.neuron.2011.09.026, PMID: 22153371
Tennessen JM, Thummel CS. 2011. Coordinating growth and maturation- insights from Drosophila. Current
Biology 21:R750–R757. DOI: https://doi.org/10.1016/j.cub.2011.06.033, PMID: 21959165
Thummel CS. 2001. Molecular mechanisms of developmental timing in C. elegans and Drosophila.
Developmental Cell 1:453–465. DOI: https://doi.org/10.1016/s1534-5807(01)00060-0, PMID: 11703937
Tirian L, Dickson BJ. 2017. The VT GAL4, LexA, and Split- GAL4 Driver Line Collections for Targeted Expression
in the Drosophila Nervous System. bioRxiv. DOI: https://doi.org/10.1101/198648
Vosshall LB, Wong AM, Axel R. 2000. An olfactory sensory map in the fly brain. Cell 102:147–159. DOI: https://
doi.org/10.1016/s0092-8674(00)00021-0, PMID: 10943836
Wang K, Milkie DE, Saxena A, Engerer P, Misgeld T, Bronner ME, Mumm J, Betzig E. 2014. Rapid adaptive
optical recovery of optimal resolution over large volumes. Nature Methods 11:625–628. DOI: https://doi.org/
10.1038/nmeth.2925, PMID: 24727653
Watts RJ, Hoopfer ED, Luo L. 2003. Axon pruning during Drosophila metamorphosis: evidence for local
degeneration and requirement of the ubiquitin- proteasome system. Neuron 38:871–885. DOI: https://doi.org/
10.1016/s0896-6273(03)00295-2, PMID: 12818174
Williams DW, Truman JW. 2005. Cellular mechanisms of dendrite pruning in Drosophila: insights from in vivo
time- lapse of remodeling dendritic arborizing sensory neurons. Development 132:3631–3642. DOI: https://doi.
org/10.1242/dev.01928, PMID: 16033801
Wu JS, Luo L. 2006. A protocol for dissecting Drosophila melanogaster brains for live imaging or
immunostaining. Nature Protocols 1:2110–2115. DOI: https://doi.org/10.1038/nprot.2006.336, PMID:
17487202
Xie Q, Wu B, Li J, Xu C, Li H, Luginbuhl DJ, Wang X, Ward A, Luo L. 2019. Transsynaptic fish- lips signaling
prevents misconnections between nonsynaptic partner olfactory neurons. PNAS 116:16068–16073. DOI:
https://doi.org/10.1073/pnas.1905832116, PMID: 31341080
Wong et al. eLife 2023;12:e85521. DOI: https://doi.org/10.7554/eLife.85521
29 of 33
Developmental Biology | Neuroscience
Research article
Xie Q. 2021. Flypn_Development. bf76a37. GitHub. https://github.com/Qijing-Xie/FlyPN_development
Xie Q, Brbic M, Horns F, Kolluru SS, Jones RC, Li J, Reddy AR, Xie A, Kohani S, Li Z, McLaughlin CN, Li T, Xu C,
Vacek D, Luginbuhl DJ, Leskovec J, Quake SR, Luo L, Li H. 2021. Temporal evolution of single- cell
transcriptomes of Drosophila olfactory projection neurons. eLife 10:e63450. DOI: https://doi.org/10.7554/
eLife.63450, PMID: 33427646
Xie Q, Li J, Li H, Udeshi ND, Svinkina T, Orlin D, Kohani S, Guajardo R, Mani DR, Xu C, Li T, Han S, Wei W,
Shuster SA, Luginbuhl DJ, Quake SR, Murthy SE, Ting AY, Carr SA, Luo L. 2022. Transcription factor acj6
controls dendrite targeting via a combinatorial cell- surface code. Neuron 110:2299–2314.. DOI: https://doi.
org/10.1016/j.neuron.2022.04.026, PMID: 35613619
Yaniv SP, Schuldiner O. 2016. A fly’s view of neuronal remodeling. Wiley Interdisciplinary Reviews.
Developmental Biology 5:618–635. DOI: https://doi.org/10.1002/wdev.241, PMID: 27351747
Yates PA, Roskies AL, McLaughlin T, O’Leary DD. 2001. Topographic- specific axon branching controlled by
ephrin- as is the critical event in retinotectal MAP development. The Journal of Neuroscience 21:8548–8563.
DOI: https://doi.org/10.1523/JNEUROSCI.21-21-08548.2001, PMID: 11606643
Yu HH, Kao CF, He Y, Ding P, Kao JC, Lee T. 2010. A complete developmental sequence of A Drosophila
neuronal lineage as revealed by twin- spot MARCM. PLOS Biology 8:e1000461. DOI: https://doi.org/10.1371/
journal.pbio.1000461, PMID: 20808769
Zhu S, Lin S, Kao CF, Awasaki T, Chiang AS, Lee T. 2006. Gradients of the Drosophila chinmo BTB- zinc finger
protein govern neuronal temporal identity. Cell 127:409–422. DOI: https://doi.org/10.1016/j.cell.2006.08.045,
PMID: 17055440
Wong et al. eLife 2023;12:e85521. DOI: https://doi.org/10.7554/eLife.85521
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Appendix 1
Appendix 1—key resources table
Reagent type
(species) or
resource
Designation
Source or reference
Identifiers
Additional information
Genetic reagent (D.
melanogaster)
GH146- FLP
DOI: 10.1038/nn.2442
Genetic reagent (D.
melanogaster)
QUAS- FRT- stop- FRT- mCD8- GFP
DOI: 10.1016 /j.
cell.2010.02.025
Genetic reagent (D.
melanogaster)
UAS- mCD8- GFP
DOI: 10.1016 /
s0896- 6273(00)80701–1
Genetic reagent (D.
melanogaster)
UAS- mCD8- FRT- GFP- FRT- RFP
DOI: 10.1016 /j.
neuron.2014.06.026
Genetic reagent (D.
melanogaster)
VT033006- GAL4
Genetic reagent (D.
melanogaster)
Mz19- GAL4
Genetic reagent (D.
melanogaster)
91 G04- GAL4
Genetic reagent (D.
melanogaster)
Mz612- GAL4
Genetic reagent (D.
melanogaster)
71B05- GAL4
Genetic reagent (D.
melanogaster)
Split7- GAL4
Genetic reagent (D.
melanogaster)
QUAS- FLP
DOI: 10.1101/198648
DOI: 10.1242/dev.00896
DOI: 10.1016 /j.
celrep.2012.09.011
DOI: 10.1242/dev.01614
DOI: 10.1016 /j.
celrep.2012.09.011
DOI: 10.7554/eLife.63450
FlyLight:SS01867
DOI: 10.1016 /j.
cell.2010.02.025
Genetic reagent (D.
melanogaster)
UAS- EcR.B1-ΔC655.F645A
DOI: 10.1242/dev.00205
Genetic reagent (D.
melanogaster)
tsh- GAL4
Genetic reagent (D.
melanogaster)
lov- GAL4
Bloomington Drosophila
Stock Center
BDSC:3040
Bloomington Drosophila
Stock Center
BDSC:3737
Genetic reagent (D.
melanogaster)
UAS- mCD8- GFP, hs- FLP; FRTG13,
tub- GAL80;; GH146- GAL4
DOI: 10.1016 /
s0896- 6273(00)80701–1
Genetic reagent (D.
melanogaster)
FRTG13, UAS- mCD8- GFP
DOI: 10.1016 /
s0896- 6273(00)80701–1
Genetic reagent (D.
melanogaster)
UAS- FRT10- stop- FRT10- 3xHalo7-
CAAX
this paper
Genetic reagent (D.
melanogaster)
UAS- FRT- myr- 4xSNAPf- FRT-
3xHalo7- CAAX
this paper
Genetic reagent (D.
melanogaster)
UAS- FRT- myr- mGreenLantern- FRT-
3xHalo7- CAAX
this paper
Genetic reagent (D.
melanogaster)
QUAS- FRT- stop- FRT- myr- 4xSNAPf
this paper
Genetic reagent (D.
melanogaster)
run- T2A- FLP
Genetic reagent (D.
melanogaster)
acj6- T2A- FLP
Genetic reagent (D.
melanogaster)
acj6- T2A- QF2
this paper
this paper
this paper
Genetic reagent (D.
melanogaster)
CG14322- T2A- QF2
this paper
Genetic reagent (D.
melanogaster)
lov- T2A- QF2
this paper
Antibody
chicken polyclonal anti- GFP
Aves Lab
Appendix 1 Continued on next page
on either II or III chromosome;
see Materials and methods
on III chromosome; see
Materials and methods
on II chromosome; see
Materials and methods
on III chromosome; see
Materials and methods
on X chromosome; see
Materials and methods
on X chromosome; see
Materials and methods
on X chromosome; see
Materials and methods
on III chromosome; see
Materials and methods
on II chromosome; see
Materials and methods
RRID:AB_10000240; Aves
Lab:GFP- 1020
(1:1000)
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Appendix 1 Continued
Reagent type
(species) or
resource
Designation
Source or reference
Identifiers
Additional information
Antibody
rabbit polyclonal anti- DsRed
TaKaRa
RRID:AB_10013483;
TaKaRa:632496
(1:500)
Antibody
rat monoclonal anti- Cadherin DN
Developmental Studies
Hybridoma Bank
RRID:AB_528121; DSHB:DN-
Ex#8
(1:30)
Antibody
mouse monoclonal anti- Bruchpilot
Developmental Studies
Hybridoma Bank
RRID:AB_2314866; DSHB:nc82
supernatant
(1:30)
Recombinant DNA
reagent
Recombinant DNA
reagent
Recombinant DNA
reagent
Recombinant DNA
reagent
Recombinant DNA
reagent
pBPGUw- HACK- QF2
Addgene
RRID:Addgene_80276
pU6- BbsI- chiRNA
Addgene
RRID:Addgene_45946
pUAS- 3xHalo7- CAAX
Addgene
RRID:Addgene_87646
pUAS- myr- 4xSNAPf
Addgene
RRID:Addgene_87637
pcDNA3.1- mGreenLantern
Addgene
RRID:Addgene_161912
Recombinant DNA
reagent
p5XQUAS
Addgene
RRID:Addgene_24349
Recombinant DNA
reagent
p10xQUAS- CsChrimson
Addgene
RRID:Addgene_163629
Recombinant DNA
reagent
pUAS- FRT10- stop- FRT10- 3xHalo7-
CAAX
this paper
Recombinant DNA
reagent
pUAS- FRT- myr- 4xSNAPf- FRT-
3xHalo7- CAAX
this paper
Recombinant DNA
reagent
pUAS- FRT- myr- mGreenLantern-
FRT- 3xHalo7- CAAX
this paper
Recombinant DNA
reagent
Recombinant DNA
reagent
pUAS- myr- mGreenLantern
this paper
pQUAS- FRT- stop- FRT- myr- 4xSNAPf this paper
Chemical
compound, drug
SYLGARD 184 Silicone Elastomer
Kit
DOW
Schneider’s Drosophila Medium
ThermoFisher Scientific
Fetal Bovine Serum
ThermoFisher Scientific
Human recombinant insulin
ThermoFisher Scientific
Penicillin- Streptomycin
ThermoFisher Scientific
backbone from pUAS-
3xHalo7- CAAX; see Materials
and methods
backbone from pUAS-
3xHalo7- CAAX; see Materials
and methods
backbone from pUAS-
3xHalo7- CAAX; see Materials
and methods
backbone from pUAS- myr-
4xSNAPf; see Materials and
methods
backbone from p5XQUAS;
see Materials and methods
DOW:2646340
ThermoFisher
Scientific:21720001
ThermoFisher
Scientific:16140071
ThermoFisher
Scientific:12585014
ThermoFisher
Scientific:15140122
used at 10%
used at 10 µg/mL
(1:100)
Ascorbic acid
Sigma
Sigma:A4544
used at 50 mg/mL in water
20- hydroxyecdysone
Sigma
Sigma:H5142
used at 20 µM and 2 µM
JF503- cpSNAP
Chemical
compound, drug
JF646- Halo
Chemical
compound, drug
Chemical
compound, drug
JFX650- SNAP
JFX554- Halo
Appendix 1 Continued on next page
DOI: 10.1038/nmeth.4403;
DOI: 10.1021/jacsau.1c00006
DOI: 10.1038/nmeth.4403;
DOI: 10.1021/jacsau.1c00006
DOI: 10.1038/nmeth.4403;
DOI: 10.1021/jacsau.1c00006
DOI: 10.1038/nmeth.4403;
DOI: 10.1021/jacsau.1c00006
(1:1000); gift from Dr. Luke
Lavis
(1:1000); gift from Dr. Luke
Lavis
(1:1000); gift from Dr. Luke
Lavis
(1:10000); gift from Dr. Luke
Lavis
Chemical
compound, drug
Chemical
compound, drug
Chemical
compound, drug
Chemical
compound, drug
Chemical
compound, drug
Chemical
compound, drug
Chemical
compound, drug
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Appendix 1 Continued
Reagent type
(species) or
resource
Designation
Source or reference
Identifiers
Additional information
Chemical
compound, drug
JF635- Halo
Chemical
compound, drug
JF570- Halo
DOI: 10.1038/nmeth.4403;
DOI: 10.1021/jacsau.1c00006
DOI: 10.1038/nmeth.4403;
DOI: 10.1021/jacsau.1c00006
(1:1000); gift from Dr. Luke
Lavis
(1:5000); gift from Dr. Luke
Lavis
Chemical
compound, drug
Sulforhodamine 101
Sigma
Sigma:S7635
used at 1 µM
Software, algorithm ZEN
Carl Zeiss
RRID:SCR_013672
Software, algorithm ImageJ
National Institutes of Health
RRID:SCR_003070
Software, algorithm Python Programming Language
Python
RRID:SCR_008394
http://www.python.org/
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| null |
10.1371_journal.pone.0258085.pdf
|
Data Availability Statement: Due to legal and
participants confidentiality, data will only be
available upon request. The data underlying the
results presented in the study are available from
Shenzhen Luohu Disease Prevention and Control
Center via contacting Weihong Chen, director of
Shenzhen Luohu Disease Prevention and Control
Center, at 1433529760@qq.com.
|
Due to legal and participants confidentiality, data will only be available upon request. The data underlying the results presented in the study are available from Shenzhen Luohu
|
RESEARCH ARTICLE
Level of engagement of recreational physical
activity of urban villagers in Luohu, Shenzhen,
China
Lu ShiID
1*, Willie Leung2, Qingming Zheng3, Jie Wu3
1 Public Health, School of Social and Behavioral Health Science, College of Public Health and Human
Sciences, Oregon State University, Corvallis, OR, United States of America, 2 Department of Health
Sciences and Human Performance, College of Natural and Health Sciences, The University of Tampa,
Tampa, FL, United States of America, 3 Shenzhen Luohu Disease Prevention and Control Center,
Shenzhen, Guangdong, China
* shil@oregonstate.edu
Abstract
Physical activity is important for health. However, there is a lack of literature related to the
physical activity levels of adults living in urban villagers, which is a vulnerable population in
China. The aim of this study is to compare the physical activity and sedentary behavior
engagements between urban villagers and non-urban villagers using the 2019 Luohu Shen-
zhen, China Community Diagnosis Questionnaire. A total of 1205 adults living in urban vil-
lages and non-urban villages were included in the analysis. Unadjusted and multiple
multivariate logistic regression were conducted for the dependent variable of engagement in
recreational physical activity, frequency of recreational physical activity per week, and hours
spent in sedentary behaviors per day. Descriptive analysis was conducted to identify the
reasons for not engaging in physical activity among urban villagers and non-urban villagers.
Across the included sample, 29.05% were urban villagers and 70.95% were non-urban vil-
lagers. The results suggested that urban villagers are more likely to engage in physical activ-
ity than non-urban villager (OR = 1.90, 95% CI [1.40, 2.59], p < 0.001). However, it was also
found that urban village status had no significant association for frequency in engaging in
physical activity and average hours spent in sedentary behaviors. Both urban villagers and
non-urban villages indicated that lack of time, lack of safe and appropriate environment, and
working in labor intensive occupations as some of the reasons for not engaging in physical
activity. There is a need for tailed interventions and policies for promoting physical activity
among urban villagers and non-urban villagers. Additional studies are needed to further our
understanding of the physical activity behaviors among urban villagers in China.
Introduction
Benefits of physical activity
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OPEN ACCESS
Citation: Shi L, Leung W, Zheng Q, Wu J (2021)
Level of engagement of recreational physical
activity of urban villagers in Luohu, Shenzhen,
China. PLoS ONE 16(10): e0258085. https://doi.
org/10.1371/journal.pone.0258085
Editor: Francisco Javier Huertas-Delgado, La
Inmaculada Teacher Training Centre (University of
Granada), SPAIN
Received: November 21, 2020
Accepted: September 20, 2021
Published: October 28, 2021
Copyright: © 2021 Shi et al. This is an open access
article distributed under the terms of the Creative
Commons Attribution License, which permits
unrestricted use, distribution, and reproduction in
any medium, provided the original author and
source are credited.
Data Availability Statement: Due to legal and
participants confidentiality, data will only be
available upon request. The data underlying the
results presented in the study are available from
Shenzhen Luohu Disease Prevention and Control
Center via contacting Weihong Chen, director of
Shenzhen Luohu Disease Prevention and Control
Center, at 1433529760@qq.com.
Funding: The authors received no specific funding
for this work.
The benefit of engagement of physical activity is well documented [1, 2]. The numerous bene-
fits included weight management, lower blood cholesterol levels and blood pressure,
PLOS ONE | https://doi.org/10.1371/journal.pone.0258085 October 28, 2021
1 / 17
PLOS ONECompeting interests: The authors have declared
that no competing interests exist.
Urban villagers’ physical activity levels
strengthening bones, muscles, and joint, and reducing risk of cardiovascular disease and cer-
tain types of cancers [3]. In addition to physical health-related benefits, engagement in physical
activity could lead to benefits of social and mental benefits. Regular engagement in physical
activity is associated with reduced stress, improved mental health, emotional regulation, low-
ered depression, increased social functioning, and increased sense of community [4]. Further,
engagement of regular physical activity is related to reduce the risk of developing disabilities
and maintenance of functional independences [5, 6].
Currently, physical inactivity is the fourth leading cause of mortality, according to the
World Health Organization (WHO) [7]. WHO’s physical activity guidelines are 150 minutes
of moderate physical activity or 75 minutes of vigorous physical activity per week or an equiva-
lent combination of moderate- and vigorous-intensity activity for adults [7]. Individuals can
perform various activities, such as leisure time physical activity, active transportation, and
occupational activities to accumulate the minutes required to meet the guidelines. These
guidelines apply to all individuals regardless of gender, race, ethnicity, or income levels.
Physical activity levels of Chinese people
Past literature had examined the physical activity levels individuals living in China [8, 9].
Using the data from the 2012 to 2015 China Hypertension Survey (CHS), it was found that
28.1% of Chinese adults were overweight and 5.2% were obese [10]. The results also found that
regionals different of the prevalence of overweight and obesity different between Northern and
Southern China with adults from Northern China more likely to be obese and overweight.
According to a report published in the official Report on Cardiovascular Diseases in China
2017, 290 millions of Chinese adults are suffering from cardiovascular disease [11]. It was also
found that China is facing a fast growing cardiovascular disease epidemic with a widening
rural-urban disparities [12].
Similar physical activity trends found in Western countries were observed among Chinese
adults as well. Trends such as male are more likely to engage in physical activity than female
and older adults are less physical active than younger adults were found among individuals liv-
ing in China [8, 9]. It was found that 66.3% of adults between the ages of 35 to 74 years were
physically active according to the data from the International Collaborative Study of Cardio-
vascular Disease in Asia from 2000–2001 [9]. Using accelerometers to measure physical activ-
ity, it was found that Chinese adults in Shanghai spent 317 minutes per day in physical activity,
while spent 509 minutes per day in sedentary behaviors [13]. It was reported that Chinese
adults are more likely to report engaging in work-related or occupational physical activity
(63.3%) than leisure time physical or recreational physical activity (24.5%) [9]. There were dis-
parities between urban and rural residents with more rural residents (78.1%) spending time in
physical activity than urban residents (21.8%) [9]. In addition to regional different, it was
found that socioeconomic status (SES) impact physical activity levels among Chinese adults
[14]. Using a community-based survey with 3567 adults living in Jiaxing, China, Chen et al.
found that adults with lower SES are more likely to engage in household physical activity,
adults with middle SES engages in higher intensity of occupational physical activity, and adults
with higher SES levels were more likely to exercise but spent longer time in sedentary behav-
iors [14].
The physical activity of subpopulation of Chinese adults had been well examined, especially
for adults with different living area (rural vs. urban) and SES [14, 15]. However, there is a lack
of literature examining the physical activity levels of urban villagers. Urban villagers refer to
the individuals living in urban village. Urban village or chengzhongcun are typically low quality
and high density with many closely packed apartment blocks of between 2 and 8 floors [16].
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PLOS ONEUrban villagers’ physical activity levels
Urban villages are transitional neighborhoods typically found in urban areas or cities with
rapid economic growth [16, 17]. Urban villages can be described as narrow roads, face-to-face
buildings, a thin strip of sky, and inner streets packed with shops, grocery stores and service
outlets [16]. Many of these urban villages are associated with unsuitable land use, poor housing
construction, severe infrastructure deficiencies, intensified social disorder, and deteriorated
urban environment [18]. In addition, urban villages often have poor sanitary condition, where
pipelines and drainage systems are poorly constructed and water flows over the ground along
with garage [17]. Many urban villagers are individuals with low SES status due to financial situ-
ation. These urban villagers could include rural-to-urban migrants workers with limited skill-
sets and educations or individuals who recently graduated from colleges and universities. They
are attracted to urban villages due to the cheap housing accommodation. Overall, these urban
villagers aggregate in urban village in large cities, such as Guangzhou and Beijing with limited
infrastructure and poor living environments due to affordable living accommodations.
Due to the unique living situations of urban villages and limited healthcare resources [19],
urban villagers’ physical activity need to be better examined [20]. Knowing physical activity-
related information of urban villagers could better design and develop interventions targeting
the needs of urban villagers in the community. Regular engagement in physical activity is asso-
ciated with better health-related outcomes [21], considering urban villagers is more at risk for
poor health outcomes due to poor living situation [22, 23]. Previous studies had examined the
physical activity levels of youths and adolescents living in urban village [24, 25]. Therefore, to
better understand the physical activity levels of adult urban villagers, the purpose of this study
is to compare the physical activity and sedentary behaviors engagements between urban villag-
ers and non-urban villagers using the 2019 Luohu Shenzhen, China Community Diagnosis
Questionnaire.
Materials and methods
Design and sample
This study is secondary data analysis using data from the 2019 Luohu Shenzhen, China Com-
munity Diagnosis Questionnaire. The questionnaire is part of a community health diagnosis
program funded by the Center for Disease Control and Prevention of Shenzhen. Due to the
unique status of Shenzhen as the Special Economic Zones (SEZ), it attracted various Chinese
citizens with different background to settle in the areas. This allows assessments of health-
related behaviors on various groups of Chinese citizens (e.g., household registration status,
migrants status, employments status, income levels, etc.) within the same survey and living
within the same area. The goal of the survey is to grasp the main health problems existing in
the residents of Luohu District, determine the causes of community health problems, and
determine the priority needs of the public health services and factors affecting residents’
health. The survey also served as an evaluation of Shenzhen residents satisfaction on the vari-
ous healthcare institutes available to them, such as community health centers. The survey con-
sisted of seven parts: 1) family demographics, 2) family medical history, 3) adults healthcare
needs and access to healthcare, 4) health and quality of life of adults over the ages of 60 years
old, 5) health, healthcare and reproductive healthcare needs of married women under the ages
of 50 years old, 6) healthcare needs and health of children, and 7) examination of blood pres-
sure, height, weight, hip length, and waist length. Data collection of the survey was approved
by the IRB at Shenzhen Luohu Disease Prevention and Control Center. Analysis of the survey
data was approved by the IRB at Oregon State University.
Participants of the survey were selected by multiple stages of random selection. First, seven
communities were randomly selected in Dongmen community, Luohu district, Shenzhen,
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PLOS ONEUrban villagers’ physical activity levels
Luohu as seen in Fig 1. Then 116 community grids were randomly selected from the seven
selected communities in Dongmen community, Luohu district. Lastly, family household, serv-
ing as survey unit, were randomly selected for interview based on the size of the community. All
members of the household participated in the survey. Further, only individuals living in Shen-
zhen for at least six months prior to the interview were included in the survey. The number of
household participants in the survey is based on the size of the community. 200 households
were randomly selected if the community sample size have more than two million individuals,
150 households for community sample size between one to two million, 100 households for
community sample size between half of a million to one million, and 50 households for commu-
nity less than half of a million. The random selection of communities was to identify individuals
living in the various type of communities within the Shenzhen area. All data were collected
between January and September of 2019. All data were collected through face-to-face interview.
A total of 2122 participants were interviewed for the survey. However, only 2089 participants
completed the survey with valid data. 1205 adults were included in the analysis.
Across the sample, 54.52% of the participants were female and 45.48% of the participants
were male. The average age of the participants were 38.8 years old. The average BMI were 22.88
Fig 1. Participants recruitment process.
https://doi.org/10.1371/journal.pone.0258085.g001
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PLOS ONEUrban villagers’ physical activity levels
kg/cm2 with the hip-to-waist ratio of .89. A majority of the participants were employed
(83.24%). Interestingly, 32.20% of the participants have no formal education and completed pri-
mary education, which made up almost of one third of the sample. 28.54% of the participants
completed middle school, 26.97% completed high school, and 12.28% completed professional
school, college, and university. 76.02% of the participants were married or partnered and
23.98% were singled or not partnered. The sample consisted of more participants with non-
Shenzhen hukou (62.41%). Across the sample, there were more participants without diagnosis
of hypertension and diabetes. Only 6.56% and 1.91% of the participants reported having hyper-
tension and diabetes, respectively. 76.43% of the participants reported they did not smoke.
Measures
The independent variable of the analysis is the living status of the participants. The variable is
based on the location of the community grids participants resides in. Shenzhen used the com-
munity grid system to identify local community [26]. Urban villages are typically located
within one grid. Therefore, community grids serve as an indicator for urban villages. Partici-
pants were classified as urban villagers if they live in an urban village and all other participants
were classified as non-urban villagers.
Physical activity and sedentary behavior-related variables from the survey component
about health and quality of life of adults from 18 to 59 years old were selected for this analysis.
A total of four variables were determined to be related to physical activity from the survey. The
variables were engagement in recreational physical activity, frequency of recreational physical
activity per week, hours spend in sedentary behaviors per day, and reasons for not engaging in
physical activity. All variables were categorical variables. Engagement in recreational physical
activity was based on the question of “Within the past six months, what types of recreational
physical activity did you participated in?”. The respond options included: 1) did not participate
in any activities, 2) machine equipment physical activity, 3) aerobic activity or aerobic dances,
4) swimming, 5) ambulatory activity (e.g., brisk walking, jogging, running, hiking), 6) ball-
related sports (e.g. basketball, baseball, soccer, etc.), 7) sports or fitness competition, 8) martial
arts, or 9) other. Participants were considered not to be engaged in physical activity when they
responded with did not participate in any activities, else participants were classified as engaged
in physical activity. Recreational physical activity is defined as physical activity that is done at
leisure time. The variable of frequency of recreational physical activity were based on the ques-
tion of “Within the past six months, how often do you exercise per week?” with the respond
options of 1) 6 or more times per week, 2) 3 to 5 times per week, 3) 1 to 2 times per week, and
4) lesser than 1 time. The variable of hours spend in sedentary behaviors was based on the
respond to the question of “In the past month, what is the average accumulated hours spend in
sedentary activities (e.g., studying, working, watching TV, using computer, etc.)?”. The
respond options included 1) lesser than 2 hours per day, 2) 2 to 4 hours per day, 3) 4 to 8
hours per day, 4) 8 to 12 hours per day, and 5) more than 12 hours per day. Reasons for not
engaging in physical activity were only for participants who responded that they engaged in
physical activity within the past six months. The survey item aims to identify how prevent
them from engaging in physical activity throughout their routine. Participants were asked the
reasons when they were unable to engage in physical activity weekly. Participants were able to
select multiple options of 1) no recreational physical activity is needed due to labor intensive
occupations, 2) no time to engage in physical activity, 3) there were no appropriate places and/
or environments for physical activity, 4) I feel healthy, I do not need physical activity, 5) do
not want to engage in physical activity, 6) feeling ill, unable to participate in physical activity,
and 7) other reasons.
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PLOS ONEUrban villagers’ physical activity levels
The covariates included in the analysis were gender, age, employment status, education,
marital status, household registration, body mass index (BMI), diagnosis of hypertension,
diagnosis of diabetes, and smoking status. Gender was a binary variable consisted of male and
female. Age was a continuous variable between 18 to 59 years old. Employment status was a
binary variable of being employed or unemployed. Education was a categorical variable
including professional college and university, high school, middle school, and primary school
or no formal education. Marital status was a binary variable of either being married or single.
Household registration or Hukou were based on participants self-reporting their registration
of either Shenzhen Hukou or non-Shenzhen Hukou. BMI is a continuous variable between
15.02 to 36.11 kg/cm2, which was calculated based on the participants’ height and weight by
the survey. Hip-to-waist was calculated based on the hip and waist of the participants by the
survey. Diagnosis of hypertension, diagnosis of diabetes, and smoking status were all binary
variables with yes and no. These covariates were selected due to their relationship with physical
activity engagement.
Data analyses
Descriptive analysis was conducted for the independent variables, dependent variables, and
the covariates. To determine the physical activity engagement between urban villagers and
non-urban villagers, unadjusted and multiple multivariate logistic regression were conducted
for the dependent variable of engagement in recreational physical activity, frequency of recrea-
tional physical activity per week, hours spend in sedentary behaviors per day, and reasons for
not engaging in physical activity. All analyses were conducted using STATA version 16 (Stata-
Corp LLC., College Station, TX, USA). The alpha levels were set at .05. The study protocol was
approved by the Oregon State University (IRB: IRB-2020-0509).
Results
Across the sample, 29.05% (n = 350) of the participants were urban villagers and 70.95%
(n = 855) were non-urban villagers. Pearson’s chi square test found significant different
between education levels, marital status, and household registration status between the urban
villagers and non-urban villagers. There were more non-urban villagers with completed mid-
dle school, high school, and professional school, college, and university (χ2 = 99.46, p < 0.001).
There were more non-urban villagers who were either married or partnered than urban villag-
ers (χ2 = 3.77, p = 0.05). Regrading to household registration or hukou, there were higher pro-
portion of non-urban villagers with Shenzhen hukou and higher proportion of urban villagers
with non-Shenzhen hukou (χ2 = 180.60, p < 0.001). Also, there were significant different in
age found between the two groups with non-urban villagers had a higher average age. Non-sig-
nificant differences were found between urban villagers and non-urban villagers among other
covariates (e.g., gender, employment, diagnosis of hypertension, diagnosis of diabetes, smok-
ing status, BMI, and hip-to-waist ratio).
Engagement in recreational physical activity
From the total sample size (n = 1205), 63.73% (n = 768) of participants reported not engage in
any recreational physical activity while 36.27% (n = 474) reported engaged in recreational
physical activity. A significant difference in proportion of engaging in recreational physical
activity were found between urban and non-urban villagers (χ2 = 60.79, p < 0.001) with higher
proportion of urban villagers (53.14%) reported engaging in recreational physical activity than
non-urban villagers (29.36%) as shown in Table 1. The unadjusted logistic regression found
that urban villagers were 2.73 (95% CI [2.11, 3.53], p < 0.001) times the odds of non-urban
PLOS ONE | https://doi.org/10.1371/journal.pone.0258085 October 28, 2021
6 / 17
PLOS ONETable 1. Characteristics of urban villagers and non-urban villagers engaging in recreation physical activity.
Urban Villagers
Non-Urban Villagers
Total
n Mean/Proportion
n Mean/Proportion
n
Mean/Proportion
χ2/ t
P
Urban villagers’ physical activity levels
Engagement in recreational physical activity, %
Yes
No
Frequency of recreational physical activity per week, %
> 6 times
3–5 times
1–2 times
< 1 time
Average hours spend in sedentary behaviors per day, %
> 12 hours
9–12 hours
5–8 hours
2–4 hours
< 2 hours
Gender, %
Female
Male
Age, years
Employment status, %
Yes
No
Education levels, %
College & university
High school
Middle school
Primary school & none
Marital Status
Married/partnered
Single
Household registration (hukou), %
Shenzhen hukou
Non-Shenzhen hukou
Body Mass Index, kg/m2
Hip-to-waist ratio, %
Hypertension, %
Yes
No
Diabetes, %
Yes
No
Smoking status, %
Yes
No
186
164
35
57
62
10
15
46
99
86
104
183
167
350
302
48
46
108
122
74
253
97
29
321
350
350
19
331
8
342
94
256
53.14
46.86
21.34
34.76
37.80
6.10
4.29
13.14
28.29
24.57
29.71
52.29
47.71
37.75
86.29
13.71
13.14
30.86
34.86
21.14
72.29
27.71
8.29
91.71
22.99
89
5.43
94.57
2.29
97.71
26.86
73.14
251
604
154
201
216
34
43
113
221
261
217
474
381
855
701
154
342
236
203
74
663
192
424
431
855
855
60
795
15
840
190
665
29.36
70.64
25.45
33.22
35.70
5.62
5.03
13.22
25.85
30.53
25.38
55.44
44.56
39.24
81.99
18.01
40.00
27.60
23.74
8.65
77.54
22.46
49.59
50.41
22.83
89
7.02
92.98
1.75
98.25
22.22
77.78
437
768
189
358
278
44
58
159
320
347
321
657
548
1205
1003
202
148
325
344
388
916
286
453
752
1205
1205
79
1126
23
1182
284
921
36.27
63.73
21.75
41.20
31.99
5.06
4.81
13.20
26.56
28.80
26.64
54.52
45.48
38.8
83.24
16.76
12.28
26.97
28.55
32.20
76.02
23.98
37.59
62.41
22.87
89
6.56
93.44
1.91
98.09
81.66
18.34
60.79
<0.001�
1.19
0.76
5.65
0.23
1.00
0.32
2.21
0.03�
3.29
0.07
99.46
<0.001�
3.77
0.05
180.60
0 < .001�
-0.70
0.41
0.48
0.68
1.02
0.31
0.37
0.54
2.96
0.09
Note. n, sample size; χ2, chi-square statistic comparing between Urban Villagers and non-Urban Villagers for categorical variables; t, t-statistic comparing between
Urban Villagers and non-Urban Villagers for continuous variables, p, p-value associated with the statistic comparison test;
�, p < 0.05.
https://doi.org/10.1371/journal.pone.0258085.t001
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PLOS ONEUrban villagers’ physical activity levels
villagers in engaging in recreational physical activity as shown in Table 2. The results of the
multivariate logistic regression found that Urban Villagers were 1.90 (95% CI [1.40, 2.57],
p < 0.001) times the odds of non-urban villagers in engaging in recreational physical activity
after controlling for covariates. The analysis also found the education levels, household regis-
tration, and BMI are significant factors contributing to the results of the odds ratios between
urban villagers and non-urban villagers in engaging in recreational physical activity.
Frequency of recreational physical activity per week
21.34% of urban villagers reported engaging in recreational physical activity more than six times
per week, in compared to 25.45% of non-urban villagers reported the same frequency. 34.76% of
urban villagers and 33.72% of non- urban villagers reported engaging in recreational physical
activity 3 to 5 time per week, 37.80% of urban villagers and 35.70% of non- urban villagers
reported engaging recreational physical activity 1 to 2 times per week. And 6.10% of urban vil-
lagers and 5.62% of non-urban villagers reported engaged in lesser than recreational physical
activity per week. No significant different was found between the two groups regarding the fre-
quency of engaging recreational in physical activity per week (χ2 = 1.19, p = 0.76). The odds
ratio of the unadjusted logistic regression for each level of the frequency of engaging in recrea-
tional physical activity per week with references of less than 1 time per week were 0.98 (95% CI
[0.46, 2.09], p = 0.95) for 1 to 2 time per week, 0.96 (95% CI [0.45, 2.07], p = 0.93) for 3 to 5
times per week, and 0.77 (95% CI [0.35, 1.71], p = 0.95) for more than six times per week for
urban villagers in engaging in recreational physical activity compared to non-urban villagers.
The results of the multivariate logistic regress found that urban villagers status is not a significant
factor in estimating the odds ratio of frequency in engaging recreational physical activity per
week with the reference groups of lesser than 1 time per week as shown in Tables 3 and 4.
Average hours spend in sedentary behaviors per day
4.29% of urban villagers and 5.03% non-urban villagers reported spending more than 12 hours
per day in sedentary, which made up the smallest proportion of the participants in their
respective group. 13.14% of urban villagers and 13.22% of non-urban villagers reported
Table 2. Odd ratios of urban villagers and non-urban villagers in engaging in recreational physical activity.
Urban villagers
Non-urban villagers
Engagement in recreational physical activity
Unadjusted Modelb
Adjusted Modelc
OR
2.73�
1 (ref.)
95% CI
2.11, 3.53
OR
1.90�
1 (ref.)
95% CI
1.40, 2.57
Abbreviations: OR, odds ratio; CI, confidence interval.
aBoldfaced numerals indicate p-value <0.05.
bOdd ratio from logistic regression model were computed for the outcome variable of engagement in recreational
physical activity (yes/no) with the exposure variable of living situation (urban village/non-urban village).
cOdd ratio from multivariable logistic regression model were computed for the outcome variable of engagement in
recreational physical activity (yes/no) with the exposure variable of living situation (urban village/non-urban village)
adjusted for gender (male/female), age (continuous), employment status (yes/no), education levels (college &
university, high school, middle school, primary school & none), marital status (married & partnered/single),
household registration (hukou) (Shenzhen/non-Shenzhen), BMI (continuous), hip-to-waist ratio (continuous),
hypertension (yes/no), diabetes (yes/no), and smoking status (yes/no).
d Detail adjusted model outcome were showed in S1 Table.
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PLOS ONEUrban villagers’ physical activity levels
Table 3. Odd ratios of frequency of engaging in recreational physical activity per week between urban villagers and non-urban villagers.
1–2 times vs. < 1 time
(ref.)
OR
0.98
95% CI
0.46, 2.09
Urban villagers
Non-urban villagers
1 (ref.)
Unadjusted odd ratiosb
3–5 times vs. < 1 time
(ref.)
> 6 times vs. < 1 time
(ref.)
1–2 times vs. < 1
time (ref.)
Adjusted odd ratiosc
3–5 times vs. < 1
time (ref.)
> 6 times vs. < 1
time (ref.)
OR
0.96
1 (ref.)
95% CI
0.45, 2.07
95% CI
0.35, 1.71
OR
0.77
1 (ref.)
95% CI
.44, 2.64
AOR
1.07
1 (ref.)
AOR
0.98
1 (ref.)
95% CI
.39, 2.43
AOR
0.83
1 (ref.)
95% CI
.32, 2.15
Abbreviations: OR, odds ratio; CI, confidence interval.
aBoldfaced numerals indicate p-value <0.05.
bOdd ratio from logistic regression model were computed for the outcome variable of engagement in recreational physical activity (yes/no) with the exposure variable of
living situation (urban village/non-urban village).
cOdd ratio from multivariable logistic regression model were computed for the outcome variable of engagement in recreational physical activity (yes/no) with the
exposure variable of living situation (urban village/non-urban village) adjusted for gender (male/female), age (continuous), employment status (yes/no), education levels
(college & university, high school, middle school, primary school & none), marital status (married & partnered/single), household registration (hukou) (Shenzhen/non-
Shenzhen), BMI (continuous), hip-to-waist ratio (continuous), hypertension (yes/no), diabetes (yes/no), and smoking status (yes/no).
d Detail adjusted model outcome were showed in S2 Table.
https://doi.org/10.1371/journal.pone.0258085.t003
spending 8 to 12 hours per day in sedentary behaviors. 28.29% of urban villagers and 25.85%
of non-urban villagers reported spending 4 to 8 hours per day on sedentary behaviors, while
24.57% and 30.53% of urban villagers and non-urban villagers spend 2 to 4 hours per day on
sedentary behaviors. For lowest amount of time spend in sedentary behaviors, 29.71% of
urban villagers and 25.36% of non-urban villagers reported spending lesser than 2 hours on it.
Non-significant different was found between the two groups regarded to the self-reported
hours spend in sedentary hours (χ2 = 5.65, p = 0.23). From the unadjusted logistic regression
with the reference group of spending less than 2 hours per day in sedentary behaviors and
urban villagers, the odd ratios were 0.69 (95% CI [0.49, 0.96], p = 0.03) for 2 to 4 hours, 0.93
(95% CI [0.67, 1.30], p = .69) for 4 to 8 hours, and 0.85 (95% CI [0.56, 1.29], p = 0.44) for 8 to
12 hours. The results of the multivariate logistic regression found that urban villagers status is
not a significant factor in estimating the hours spend in sedentary behaviors per day with the
reference groups of lesser than 2 hours per day as shown in Table 4. However, across all levels
Table 4. Odd ratios of average hours spend in sedentary behaviors per day between urban villagers and non-urban villagers.
2–4 hours vs. <
2 hours
5–8 hours vs. <
2 hours
9–12 hours vs. <
2 hours
>12 hours vs. <
2 hours
2–4 hours vs. <
2 hours
5–8 hours vs. <
2 hours
9–12 hours vs. <
2 hours
>12 hours vs.
< 2 hours
OR
0.69�
1 (ref.)
Urban villagers
Non-urban
villagers
95% CI OR
95% CI
.49, .96
0.93
.67, 1.30
OR
0.85
95% CI
.56, 1.29
OR
0.73
95% CI
.39, 1.37
OR
0.85
95% CI
.58, 1.25
OR
1.18
95% CI
.79, 1.75
OR
1.43
95% CI
.86, 2.38
OR
0.06
95% CI
0, 2.07
1 (ref.)
1 (ref.)
1 (ref.)
1 (ref.)
1 (ref.)
1 (ref.)
1 (ref.)
Abbreviations: OR, odds ratio; CI, confidence interval.
aBoldfaced numerals indicate p-value <0.05.
bOdd ratio from logistic regression model were computed for the outcome variable of engagement in recreational physical activity (yes/no) with the exposure variable of
living situation (urban village/non-urban village).
cOdd ratio from multivariable logistic regression model were computed for the outcome variable of engagement in recreational physical activity (yes/no) with the
exposure variable of living situation (urban village/non-urban village) adjusted for gender (male/female), age (continuous), employment status (yes/no), education levels
(college & university, high school, middle school, primary school & none), marital status (married & partnered/single), household registration (hukou) (Shenzhen/non-
Shenzhen), BMI (continuous), hip-to-waist ratio (continuous), hypertension (yes/no), diabetes (yes/no), and smoking status (yes/no).
d Detail adjusted model outcome were showed in S3 Table.
https://doi.org/10.1371/journal.pone.0258085.t004
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PLOS ONEUrban villagers’ physical activity levels
Fig 2. Reasons for not engaging in physical activity among urban villagers and non-urban villagers who engage in physical activity.
https://doi.org/10.1371/journal.pone.0258085.g002
of hours spend in sedentary behaviors, completing professional school, college, and university
had a higher odd of spending more time in sedentary behaviors.
Reasons for not engagement in recreational physical activity
Among participants who engage in recreational physical activity, many indicated that no time
to exercise as the main reason why they did not engage in physical activity (n = 273) as shown
in Fig 2. The second top reasons participants selected as the reasons for not engaging in recrea-
tion physical activity was no need to exercise due to labor intensive occupation (n = 91), follow
by unwilling to exercise and no place to exercise (n = 69). Some participants also respond that
they did not engage in recreation physical activity due to feeling healthy (n = 14) and no need
to exercise and unable to engage in recreational physical activity due to illness (n = 5).
When stratified by urban village status, lack of time is the most cited reason for not engag-
ing in physical activity for both urban villagers (n = 107) and non-urban villagers (n = 166).
There were more urban villagers (n = 58) compared to non-urban villagers expressed that they
do not need to engage in physical activity due to occupations being labor intensive. There were
more non-urban villagers (n = 51) expressed that they were unwilling to engage in physical
activity than urban villagers (n = 18). Also, higher number of non-urban villagers (n = 28)
reported not having appropriate places and/or environments for physical activity compared to
urban villagers (n = 19).
Discussion
The purpose of this secondary data analysis is to determine and compare the prevalence of
physical activity engagement among the special population of Chinese urban villagers and
non-urban villagers. Both the unadjusted and adjusted logistic regression identified that urban
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PLOS ONEUrban villagers’ physical activity levels
villagers are more likely to engage in recreational physical activity than their counterpart of
non-urban villagers. No significant relationship was found between the frequency of engage-
ment in recreational physical activity and urban village status. The multinomial logistic regres-
sion also found no significant relationship between hours spend in sedentary behaviors and
urban village status. Descriptive analysis shown that both urban villagers and non-urban vil-
lagers shared reasons for not engaging in recreational physical activity, such as lack of time to
exercise. However, more urban villagers indicated that their labor-intensive occupations are
sufficient enough for physical activity. While more non- urban villagers indicated that they are
more unwilling to exercise and there are no appropriate places and/or environments for recre-
ational physical activity.
While both urban villagers and non-urban villagers live in urban and well-developed area,
the levels of engagement in recreational physical activity were different between the two
groups. The results demonstrated that even within the same city, engagement in recreational
physical activity could be different by social characteristics. Urban villagers, like non-urban vil-
lagers, have access to different public physical activity facilities within the urban area. Physical
activity facilities such as parks, sidewalks, and outside of the urban villages are facilities that
urban villagers have access to. This is supported by the results that less urban villagers indi-
cated that there are a lack of appropriate places and/or environments for recreational physical
activity in compared to non-urban villagers. The ability of utilizing free public physical activity
facilities increase the opportunities for urban villagers to engage in recreational physical activ-
ity. Having these opportunities allow for urban villagers to obtain a healthier lifestyle of regu-
larly engagement in recreational of physical activity. While it has been found that lower-
income neighborhoods, such as urban villages, have less commercial physical activity-related
facilities [27]. The results of this study was different from the study conducted by Ortiz-Her-
na´ndez and Ramos-Iba´ñez [28], where they found that Mexican adults living in urban locali-
ties and cities with low socio-economic status had a lower probability of engaging in physical
activity. However, it is difficult to compare results across different countries as culture and
environments are widely different between the countries. Therefore, it is not appropriate to
compare the results between the studies. Studies conducted in the US [29] and in the Europe
[30] found similar results of adults living in rural areas less likely to engage in physical activity
and other psychosocial factors could influence physical activity behaviors. These highlight that
there is a need of global effort to promote physical activity in various countries. Further, due to
the unique situation of urban village in China, where the housing is surrounded by well-devel-
oped buildings and infrastructures, urban villagers have easy access to these different
infrastructures.
Income status could potentially be one of the factors explaining the different proportion of
urban villagers and non-urban villagers in engagement of recreational physical activity. Indi-
viduals living in urban village are more likely to be individuals with lower economic status.
Many of these individuals chose to reside in urban village due to the cheap accommodation
[31, 32]. Further, many of these individuals might held lower wages and labor-intensive occu-
pations. As evidence by the results of reasons for not engaging recreational physical activity,
more urban villagers reported that their occupations are labor intensive enough that either
they are too tired to engage in additional physical activity or they felt that they do not need to
engage in additional physical activity. This aligned with previous study finding that more rural
adults in China engage in work-related physical activity than urban adults [9]. In comparison
to urban villagers, fewer participants in the non-urban village group reporting their occupa-
tions are too physically demanding that they felt that engagement in recreational physical
activity is not necessary. Non-urban villagers are more likely to held office-related occupations,
therefore, it limits their ability to engage in physical activity. Past studies had demonstrated
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PLOS ONEUrban villagers’ physical activity levels
that officer workers are more likely to engage in less physical activity and more sedentary
behaviors [33]. Further, non-urban villagers might be more likely to have better technology
access than urban villagers. Technology such as television and media are found to be associated
with lower physical activity levels and high sedentary behavior [34, 35]. This might relate to
the higher number of non-Urban Villagers reporting unwilling to engage in recreational physi-
cal activity. It is also surprising to find that there are higher numbers of non-urban villagers
indicating that the reason for not engaging in recreational physical activity was lack of appro-
priate places and/or environments. Being consistent with previous research by Munter et al.
[9] where Chinese urban adults are less likely to engage in physical activity than Chinese adults
with lower economic status living in rural area.
Based on the results of this study, more tailed intervention is needed for Chinese adults not
living in urban villages. Even though urban villagers are more likely to be in poor health due to
poor housing situation [36, 37], they are more likely to engage in recreational physical activity
than non-urban villagers. While the two groups have large number of participants reporting
lack of time to engage in recreational physical activity, different interventions should be devel-
oped for the two groups. Due to differences in living situations, economic status, and occupa-
tions, different reactions and responses to interventions might be different between urban
villagers and non-urban villagers. When designing physical activity interventions, there is a
need to consider demographic characteristics and socioeconomic factors. For urban villagers,
tailed interventions are needed to target group of individuals that believe that physical activity
performed during their job are sufficient enough for health. Multiple studies had demon-
strated that leisure time physical activity and recreational physical activity are associated with
better health quality of life [38–40]. Occupational-related physical activity is not considered to
be recreation or leisure physical activity. Therefore, specific interventions are needed targeting
urban villagers. Developing interventions in targeting these reasons and solving these barriers
for non-urban villagers will be important step for increase the proportion of non-urban villag-
ers in engaging in recreational physical activity. For example, Gu et al. [41] found change in
physical activity among office workers after the implementation of a worksite intervention
programs at 17 worksites in the urban city of Shanghai with pedometers for 100 days. The goal
of using and developing physical activity interventions are to promote recreational physical
activity levels among both urban villagers and non-urban villagers.
Further research and studies are warrants in determine the physical activity levels
among urban villagers and non-urban villagers. Study had done in the past to examine the
physical activity levels of Chines adults [9, 13, 42], but there is a lack of empirical evidence
on the physical activity levels of urban villagers. Using additional techniques, such as
accelerometers, to collected more detailed data could increase our understanding of physi-
cal activity levels of urban villagers. More detailed data such as minutes spend in each
intensity of physical activity or number of steps taken each day can better represent the
physical activity levels of urban villagers. It has been proposed that an intersectionality
approach should be taken when measuring and discussing physical activity levels [43–45].
The interacting factors could provide more detail information on the physical activity of
special population such as urban villagers. Often, urban villagers might be considered as
individuals living in urban area. However, due to the unique situation of urban village,
they are considered a special population living in the urban area. This study demonstrated
that there is a need to examine the physical activity levels of special populations living in
China. As shown in this study, the proportion of urban villagers and non-urban villagers
engaging in recreational physical activity is different, so more research is needed. This
data could further facilitate the development of physical activity intervention targeting
urban villagers and non-urban villagers. Future researches should also focus on urban
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PLOS ONEUrban villagers’ physical activity levels
villagers and non-urban villagers in meeting physical activity guidelines by the World
Health Organization [21]. The current physical activity guidelines for adults over the ages
of 18 years old is at least 150 minutes of moderate-to-vigorous physical activity or 75 min-
utes of vigorous physical activity per week. Examining the prevalence of urban villagers
and non-urban villagers in meeting these physical activity guidelines could increase our
understanding of the physical activity behaviors and dose-response relationship between
physical activity and health among these populations. It is important to note that there is a
lack of national and regional physical activity guidelines in China [46]. Developing these
physical activity guidelines could be beneficial for Chinese citizen as there is a guideline
for them to follow.
One interesting find of the analysis was that education might have an influence on physical
activity-related outcomes among urban villagers and non-urban villagers. Based on the
adjusted logistic regression model, in compare to no formal education and only completing
primary education, other education levels (i.e., middle school, high school, professional college
and university) are less likely to engage in physical activity. The analysis also found that higher
education is associated with longer time spent in sedentary behaviors. The results align with
previous study examining the decline of physical activity levels among Chinese adults [14].
The study found that the greater availability of higher educational institutions is strongly asso-
ciated with the declines of physical activities based on data from the 1991–2006 China Health
and Nutrition Surveys [47]. Individuals with higher education are more likely to have office-
related positions. Officer workers are more likely to spend more time in sedentary behaviors
[48]. In addition, it was found that Chinese adults who completed high school education are
less likely to engage in occupational-related physical activity [9]. These results suggested that
physical activity interventions are needed for individuals with higher education. To ensure
that physical activity become a lifelong habit among Chinese adults, there is need to develop
physical activity intervention targeting adults at various educational levels. For example,
requiring physical education or physical activity classes for students in middle schools, high
schools, and colleges and universities. Requirement of physical education in early childhood is
positively associated with physical activity levels in adulthood [49]. Individuals who had taken
a physical activity course while in colleges and universities report higher physical activity levels
in adulthood compared to those that did not take a physical activity course [50]. Continuation
promotion of physical activity through various different educational institutions could poten-
tially increase physical activity levels of adults.
Limitation
To the authors’ knowledge, this is the first of the few studies that examined the physical activity
levels of urban villagers in China. The strength of this study is including the special population
of urban villagers. However, this study is not without its limitation. The data used in the analy-
sis are based on self-reported data. There could be potential recall and social bias. These biases
could lead to misclassification of data and results [51]. In addition to biases, there could be low
generalizability of the results. Due to the data only included participants living in the Luohu,
Shenzhen, China, the results might be only generalized to this particular populations living in
Shenzhen. However, it is assumed that urban villagers across China shared the similar charac-
teristics of lower economic status, migrant workers, labor intensive worker, poor living situa-
tion, and lack of infrastructures. It is important to note that the survey did not utilized the
International Physical Activity Questionary (IPAQ) in the surveillance system. This could lead
to misunderstanding of questions by the participants. To limit misunderstanding, all data col-
lected were in Chinese via face-to-face interview by trained personals.
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PLOS ONEUrban villagers’ physical activity levels
Conclusion
Overall, the proportion of urban villagers and non-urban villagers in engaging in recreational
physical activity are different with urban villagers more likely to engage in recreational physical
activity. While participants from both groups expressed that lack of time as a barrier in engag-
ing in recreational physical activity, non-urban villagers are more likely to reported that they
are unwilling to participate in recreational physical activity and lack appropriate place and/
environment for recreational physical activity. Urban villagers are more likely to reported that
they do not engage in recreational physical activity due to work-related physical activity. Physi-
cal activity interventions are needed to target these various barriers in preventing urban villag-
ers and non-urban villagers in participating from recreational physical activity. Further
research is warranted in order to better understanding the physical activity levels of the special
population of urban villagers living in China.
Supporting information
S1 Table. Odd ratios of urban villagers and non-urban villagers in engaging in recreational
physical activity: Adjusted model outcomes.
(DOCX)
S2 Table. Odd ratios of frequency of engaging in recreational physical activity per week
between urban villagers and non-urban villagers: Adjusted model outcomes.
(DOCX)
S3 Table. Odd ratios of average hours spend in sedentary behaviors per day between urban
villagers and non-urban villagers.
(DOCX)
S1 File. Questionnaire Chinese.
(DOCX)
S2 File. Questionnaire English.
(DOCX)
Author Contributions
Conceptualization: Lu Shi, Willie Leung, Qingming Zheng, Jie Wu.
Data curation: Lu Shi, Qingming Zheng, Jie Wu.
Formal analysis: Lu Shi, Willie Leung.
Investigation: Jie Wu.
Methodology: Lu Shi, Willie Leung, Qingming Zheng, Jie Wu.
Project administration: Qingming Zheng, Jie Wu.
Resources: Qingming Zheng.
Software: Lu Shi.
Supervision: Qingming Zheng.
Visualization: Lu Shi.
Writing – original draft: Lu Shi, Willie Leung.
Writing – review & editing: Lu Shi, Willie Leung.
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PLOS ONEUrban villagers’ physical activity levels
References
1. Haskell WL, Blair SN, Hill JO. Physical activity: Health outcomes and importance for public health pol-
icy. Preventive Medicine. 2009 Oct 1; 49(4):280–2. https://doi.org/10.1016/j.ypmed.2009.05.002 PMID:
19463850
2. Steinbeck KS. The importance of physical activity in the prevention of overweight and obesity in child-
hood: a review and an opinion. Obesity Reviews. 2001; 2(2):117–30. https://doi.org/10.1046/j.1467-
789x.2001.00033.x PMID: 12119663
3. Warburton DER, Nicol CW, Bredin SSD. Health benefits of physical activity: the evidence. Canadian Medi-
cal Association Journal. 2006 Mar 14; 174(6):801–9. https://doi.org/10.1503/cmaj.051351 PMID: 16534088
4. Eime RM, Young JA, Harvey JT, Charity MJ, Payne WR. A systematic review of the psychological and
social benefits of participation in sport for adults: informing development of a conceptual model of health
through sport. Int J Behav Nutr Phys Act. 2013 Dec 7; 10:135. https://doi.org/10.1186/1479-5868-10-
135 PMID: 24313992
5. Singh MAF. Exercise to prevent and treat functional disability. Clin Geriatr Med. 2002 Aug; 18(3):431–
62, vi–vii. https://doi.org/10.1016/s0749-0690(02)00016-2 PMID: 12424867
6.
Tak E, Kuiper R, Chorus A, Hopman-Rock M. Prevention of onset and progression of basic ADL disabil-
ity by physical activity in community dwelling older adults: A meta-analysis. Ageing Research Reviews.
2013 Jan 1; 12(1):329–38. https://doi.org/10.1016/j.arr.2012.10.001 PMID: 23063488
7. World Health Organization. WHO | Physical Inactivity: A Global Public Health Problem [Internet]. WHO.
World Health Organization; 2020 [cited 2020 Sep 22]. Available from: https://www.who.int/
dietphysicalactivity/factsheet_inactivity/en/.
8.
Li F. Physical activity and health in the presence of China’s economic growth: Meeting the public health
challenges of the aging population. Journal of Sport and Health Science. 2016 Sep 1; 5(3):258–69.
https://doi.org/10.1016/j.jshs.2016.06.004 PMID: 30356539
9. Muntner P, Gu D, Wildman RP, Chen J, Qan W, Whelton PK, et al. Prevalence of Physical Activity
Among Chinese Adults: Results From the International Collaborative Study of Cardiovascular Disease
in Asia. Am J Public Health. 2005 Sep 1; 95(9):1631–6. https://doi.org/10.2105/AJPH.2004.044743
PMID: 16051938
10.
Zhang L, Wang Z, Wang X, Chen Z, Shao L, Tian Y, et al. Prevalence of overweight and obesity in
China: Results from a cross-sectional study of 441 thousand adults, 2012–2015. Obesity Research &
Clinical Practice. 2020 Mar 1; 14(2):119–26.
11. Natinal Center for Cardiovascular Disease. China. Report on Cardiovascular Diseases in China 2017.
Beijing: Encyclopedia of China Publishing House; 2018.
12.
Liu L. Rural-Urban Disparities in Cardiovascular Disease Mortality Among Middle-Age Men in China.
Asia Pac J Public Health. 2020 Sep 11;1010539520956446. https://doi.org/10.1177/
1010539520956446 PMID: 32917101
13. Peters TM, Moore SC, Xiang YB, Yang G, Shu XO, Ekelund U, et al. Accelerometer-Measured Physical
Activity in Chinese Adults. American Journal of Preventive Medicine. 2010 Jun 1; 38(6):583–91. https://
doi.org/10.1016/j.amepre.2010.02.012 PMID: 20494234
14. Chen M, Wu Y, Narimatsu H, Li X, Wang C, Luo J, et al. Socioeconomic Status and Physical Activity in
Chinese Adults: A Report from a Community-Based Survey in Jiaxing, China. PLOS ONE. 2015 Jul 15;
10(7):e0132918. https://doi.org/10.1371/journal.pone.0132918 PMID: 26177205
15. Shi Z, Lien N, Kumar BN, Holmboe-Ottesen G. Physical activity and associated socio-demographic fac-
tors among school adolescents in Jiangsu Province, China. Preventive Medicine. 2006 Sep 1; 43
(3):218–21. https://doi.org/10.1016/j.ypmed.2006.04.017 PMID: 16762405
16.
17.
18.
Liu Y, He S. Chinese Urban Villages as Marginalized Neighbourhoods under Rapid Urbanization. In:
Wu F, Webster C, editors. Marginalization in Urban China: Comparative Perspectives [Internet]. Lon-
don: Palgrave Macmillan UK; 2010 [cited 2020 Oct 2]. p. 177–200. (International Political Economy
Series). Available from: https://doi.org/10.1057/9780230299122_10
Liu Y, He S, Wu F, Webster C. Urban villages under China’s rapid urbanization: Unregulated assets
and transitional neighbourhoods. Habitat International. 2010 Apr 1; 34(2):135–44.
Zhang L, Zhao SXB, Tian JP. Self-help in housing and chengzhongcun in China’s urbanization. Interna-
tional Journal of Urban and Regional Research. 2003; 27(4):912–37.
19. Shi L, Patil VP, Leung W, Zheng Q. Willingness to use and satisfaction of primary care services among
locals and migrants in Shenzhen, China. Health & Social Care in the Community [Internet]. [cited 2021 Jul
7];n/a(n/a). Available from: https://onlinelibrary.wiley.com/doi/abs/10.1111/hsc.13418 PMID: 33978287
20. Yang X. Research on the Optimization of Social Sports Participation Path in “Urban Villages.” In 2018
[cited 2020 Oct 23]. Available from: https://kns.cnki.net/KCMS/detail/detail.aspx?dbcode=IPFD&db
PLOS ONE | https://doi.org/10.1371/journal.pone.0258085 October 28, 2021
15 / 17
PLOS ONEUrban villagers’ physical activity levels
name=IPFDLAST2018&filename=LRCM201802002061&v=MTc1OTRiS0lGc1hLVC9JWTdHNEg5b
k1yWTlGWnVzSkRSTkt1aGRobmo5OFRuanFxeGRFZU1PVUtyaWZaZVp1RmluZ1Vy.
21. World Health Organization. Global recommendations on physical activity for health. Geneva: World
Health Organization; 2010.
22. Bork T, Kraas F, Xue D, Li Z. Urban environmental health challenges in China’s villages-in-the-city.
Geographische Zeitschrift. 2011; 99(1):16–35.
23.
Jiang J, Wang P. Health status in a transitional society: urban-rural disparities from a dynamic perspec-
tive in China. Population Health Metrics. 2018 Dec 27; 16(1):22. https://doi.org/10.1186/s12963-018-
0179-z PMID: 30591053
24. Duan J, Cao D. Investigation on the Status Quo of Mass Sports Participation in Urban Villages——Tak-
ing Wanbolin District of Taiyuan City as an Example [Internet]. North University of China; 2017 [cited
2020 Oct 23]. Available from: https://kns.cnki.net/KCMS/detail/detail.aspx?dbcode=CJFQ&dbname=
CJFDLAST2017&filename=TYGJ201703008&v=MDMxOTk4ZVgxTHV4WVM3RGgxVDNxVHJXT
TFGckNVUjdxZVorWnJGaUhuVnIvTE1UVE1aTEc0SDliTXJJOUZiSVI=.
25.
Long H, Li Y, Yu H, Yang W, Wu M. Research on Youth Sports Participation in Urban Villages of Kun-
ming City in the Process of Urbanization. Contemporary Sports Technology. 2019; 9(06):167–8.
26. Chen X. The Problems Research of Griddization Management in Longgang District of Shenzhen City
[Internet] [Master]. Central China Normal University; 2015 [cited 2020 Oct 24]. Available from: https://
gb.oversea.cnki.net/kcms/detail/detail.aspx?recid=&FileName=1016038151.nh&DbName=
CMFD201602&DbCode=CMFD.
27. Powell LM, Slater S, Chaloupka FJ, Harper D. Availability of Physical Activity–Related Facilities and
Neighborhood Demographic and Socioeconomic Characteristics: A National Study. Am J Public Health.
2006 Sep; 96(9):1676–80. https://doi.org/10.2105/AJPH.2005.065573 PMID: 16873753
28. Ortiz-Herna´ ndez L, Ramos-Iba´ñez N. Sociodemographic factors associated with physical activity in
Mexican adults. Public Health Nutrition. 2010 Jul; 13(7):1131–8. https://doi.org/10.1017/
S1368980010000261 PMID: 20196912
29. Wilcox S, Castro C, King AC, Housemann R, Brownson RC. Determinants of leisure time physical activ-
ity in rural compared with urban older and ethnically diverse women in the United States. Journal of Epi-
demiology & Community Health. 2000 Sep 1; 54(9):667–72. https://doi.org/10.1136/jech.54.9.667
PMID: 10942445
30. Moreno-Llamas A, Garcı´a-Mayor J, De la Cruz-Sa´nchez E. Urban-rural differences in trajectories of
physical activity in Europe from 2002 to 2017. Health & Place. 2021 May 1; 69:102570. https://doi.org/
10.1016/j.healthplace.2021.102570 PMID: 33873131
31. Keung Wong DF, Li CY, Song HX. Rural migrant workers in urban China: living a marginalised life:
Rural migrant workers in urban China. International Journal of Social Welfare. 2007 Jan; 16(1):32–40.
32.
Lu Z, Song S. Rural–urban migration and wage determination: The case of Tianjin, China. China Eco-
nomic Review. 2006 Jan; 17(3):337–45.
33. Parry S, Straker L. The contribution of office work to sedentary behaviour associated risk. BMC Public
Health. 2013 Apr 4; 13:296. https://doi.org/10.1186/1471-2458-13-296 PMID: 23557495
34. Harris JL, Bargh JA. The Relationship between Television Viewing and Unhealthy Eating: Implications
for Children and Media Interventions. Health Commun. 2009 Oct; 24(7):660–73. https://doi.org/10.
1080/10410230903242267 PMID: 20183373
35. Keadle SK, Arem H, Moore SC, Sampson JN, Matthews CE. Impact of changes in television viewing
time and physical activity on longevity: a prospective cohort study. International Journal of Behavioral
Nutrition and Physical Activity. 2015 Dec 18; 12(1):156. https://doi.org/10.1186/s12966-015-0315-0
PMID: 26678502
36. Gao Y, Shahab S, Ahmadpoor N. Morphology of Urban Villages in China: A Case Study of Dayuan Vil-
lage in Guangzhou. Urban Science. 2020 May 7; 4(2):23.
37. Wu F. Housing in Chinese Urban Villages: The Dwellers, Conditions and Tenancy Informality. Housing
Studies. 2016 Oct 2; 31(7):852–70.
38.
Tessier S, Vuillemin A, Bertrais S, Boini S, Le Bihan E, Oppert J-M, et al. Association between leisure-
time physical activity and health-related quality of life changes over time. Preventive Medicine. 2007
Mar 1; 44(3):202–8. https://doi.org/10.1016/j.ypmed.2006.11.012 PMID: 17208289
39. Vuillemin A, Boini S, Bertrais S, Tessier S, Oppert J-M, Hercberg S, et al. Leisure time physical activity
and health-related quality of life. Preventive Medicine. 2005 Aug 1; 41(2):562–9. https://doi.org/10.
1016/j.ypmed.2005.01.006 PMID: 15917053
40. Wendel-Vos GCW, Schuit AJ, Tijhuis MAR, Kromhout D. Leisure time physical activity and health-
related quality of life: Cross-sectional and longitudinal associations. Qual Life Res. 2004 Apr 1; 13
(3):667–77. https://doi.org/10.1023/B:QURE.0000021313.51397.33 PMID: 15130029
PLOS ONE | https://doi.org/10.1371/journal.pone.0258085 October 28, 2021
16 / 17
PLOS ONEUrban villagers’ physical activity levels
41. Gu M, Wang Y, Shi Y, Yu J, Xu J, Jia Y, et al. Impact of a group-based intervention program on physical
activity and health-related outcomes in worksite settings. BMC Public Health. 2020 Jun 15; 20(1):935.
https://doi.org/10.1186/s12889-020-09036-2 PMID: 32539787
42.
Zhu W, Chi A, Sun Y. Physical activity among older Chinese adults living in urban and rural areas: A
review. Journal of Sport and Health Science. 2016 Sep 1; 5(3):281–6. https://doi.org/10.1016/j.jshs.
2016.07.004 PMID: 30356525
43. Abichahine H, Veenstra G. Inter-categorical intersectionality and leisure-based physical activity in Can-
ada. Health Promot Int. 2017 Aug 1; 32(4):691–701. https://doi.org/10.1093/heapro/daw009 PMID:
26976822
44. Herrick SSC, Duncan LR. A Qualitative Exploration of LGBTQ+ and Intersecting Identities Within Physi-
cal Activity Contexts. Journal of Sport and Exercise Psychology. 2018 Dec 1; 40(6):325–35. https://doi.
org/10.1123/jsep.2018-0090 PMID: 30537884
45. Ray R. An Intersectional Analysis to Explaining a Lack of Physical Activity Among Middle Class Black
Women. Sociology Compass. 2014; 8(6):780–91.
46. Xu J, Gao C. Physical activity guidelines for Chinese children and adolescents: The next essential step.
J Sport Health Sci. 2018 Jan; 7(1):120–2. https://doi.org/10.1016/j.jshs.2017.07.001 PMID: 30356441
47. Ng SW, Norton EC, Popkin BM. Why have physical activity levels declined among Chinese adults?
Findings from the 1991–2006 China health and nutrition surveys. Social Science & Medicine. 2009 Apr
1; 68(7):1305–14. https://doi.org/10.1016/j.socscimed.2009.01.035 PMID: 19232811
48. Clemes SA, O’Connell SE, Edwardson CL. Office Workers’ Objectively Measured Sedentary Behavior
and Physical Activity During and Outside Working Hours. Journal of Occupational and Environmental
Medicine. 2014 Mar; 56(3):298–303. https://doi.org/10.1097/JOM.0000000000000101 PMID:
24603203
49.
Trudeau F, Laurencelle L, Shephard RJ. Tracking of physical activity from childhood to adulthood. Med
Sci Sports Exerc. 2004 Nov; 36(11):1937–43. https://doi.org/10.1249/01.mss.0000145525.29140.3b
PMID: 15514510
50. Sparling PB, Snow TK. Physical activity patterns in recent college alumni. Res Q Exerc Sport. 2002
Jun; 73(2):200–5. https://doi.org/10.1080/02701367.2002.10609009 PMID: 12092895
51. Althubaiti A. Information bias in health research: definition, pitfalls, and adjustment methods. J Multidis-
cip Healthc. 2016 May 4; 9:211–7. https://doi.org/10.2147/JMDH.S104807 PMID: 27217764
PLOS ONE | https://doi.org/10.1371/journal.pone.0258085 October 28, 2021
17 / 17
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10.1371_journal.ppat.1011871.pdf
|
Data Availability Statement: Raw and processed
RNA-sequencing data can be accessed from the
National Center for Biotechnology Information
(NCBI) Gene Expression Omnibus (GEO) database
under accession number GSE212205.
|
Raw and processed RNA-sequencing data can be accessed from the National Center for Biotechnology Information (NCBI) Gene Expression Omnibus (GEO) database under accession number GSE212205.
|
RESEARCH ARTICLE
Exposure to Mycobacterium remodels alveolar
macrophages and the early innate response
to Mycobacterium tuberculosis infection
Dat Mai1, Ana Jahn1, Tara Murray1, Michael Morikubo1, Pamelia N. Lim2,3, Maritza
M. Cervantes2, Linh K. Pham2,4, Johannes Nemeth1¤, Kevin Urdahl1, Alan H. Diercks1,
Alan Aderem1, Alissa C. RothchildID
2*
1 Center for Global Infectious Disease Research, Seattle Children’s Research Institute, Seattle, Washington,
United States of America, 2 Department of Veterinary and Animal Sciences, University of Massachusetts
Amherst, Amherst, Massachusetts, United States of America, 3 Molecular and Cellular Biology Graduate
Program, University of Massachusetts Amherst, Amherst, Massachusetts, United States of America,
4 Animal Biotechnology and Biomedical Sciences Graduate Program, University of Massachusetts Amherst,
Amherst, Massachusetts, United States of America
¤ Current address: University Hospital Zurich, University of Zurich, Division of Infectious Diseases and
Hospital Epidemiology, Zu¨rich, Switzerland
* arothchild@umass.edu
Abstract
Alveolar macrophages (AMs) play a critical role during Mycobacterium tuberculosis (Mtb) infec-
tion as the first cells in the lung to encounter bacteria. We previously showed that AMs initially
respond to Mtb in vivo by mounting a cell-protective, rather than pro-inflammatory response.
However, the plasticity of the initial AM response was unknown. Here, we characterize how
previous exposure to Mycobacterium, either through subcutaneous vaccination with Mycobac-
terium bovis (scBCG) or through a contained Mtb infection (coMtb) that mimics aspects of con-
comitant immunity, impacts the initial response by AMs. We find that both scBCG and coMtb
accelerate early innate cell activation and recruitment and generate a stronger pro-inflamma-
tory response to Mtb in vivo by AMs. Within the lung environment, AMs from scBCG vaccinated
mice mount a robust interferon-associated response, while AMs from coMtb mice produce a
broader inflammatory response that is not dominated by Interferon Stimulated Genes. Using
scRNAseq, we identify changes to the frequency and phenotype of airway-resident macro-
phages following Mycobacterium exposure, with enrichment for both interferon-associated and
pro-inflammatory populations of AMs. In contrast, minimal changes were found for airway-resi-
dent T cells and dendritic cells after exposures. Ex vivo stimulation of AMs with Pam3Cys, LPS
and Mtb reveal that scBCG and coMtb exposures generate stronger interferon-associated
responses to LPS and Mtb that are cell-intrinsic changes. However, AM profiles that were
unique to each exposure modality following Mtb infection in vivo are dependent on the lung
environment and do not emerge following ex vivo stimulation. Overall, our studies reveal signifi-
cant and durable remodeling of AMs following exposure to Mycobacterium, with evidence for
both AM-intrinsic changes and contributions from the altered lung microenvironments. Com-
parisons between the scBCG and coMtb models highlight the plasticity of AMs in the airway
and opportunities to target their function through vaccination or host-directed therapies.
a1111111111
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OPEN ACCESS
Citation: Mai D, Jahn A, Murray T, Morikubo M,
Lim PN, Cervantes MM, et al. (2024) Exposure to
Mycobacterium remodels alveolar macrophages
and the early innate response to Mycobacterium
tuberculosis infection. PLoS Pathog 20(1):
e1011871. https://doi.org/10.1371/journal.
ppat.1011871
Editor: Padmini Salgame, New Jersey Medical
School, UNITED STATES
Received: August 3, 2023
Accepted: November 27, 2023
Published: January 18, 2024
Copyright: © 2024 Mai et al. This is an open access
article distributed under the terms of the Creative
Commons Attribution License, which permits
unrestricted use, distribution, and reproduction in
any medium, provided the original author and
source are credited.
Data Availability Statement: Raw and processed
RNA-sequencing data can be accessed from the
National Center for Biotechnology Information
(NCBI) Gene Expression Omnibus (GEO) database
under accession number GSE212205.
Funding: This work was supported by National
Institute of Allergy and Infectious Disease of the
National Institute of Health under Awards
U19AI135976 (A.A.), R01AI032972 (A.A.),
75N93019C00070 (K.U., A.C.R., A.A.), and
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1011871 January 18, 2024
1 / 28
PLOS PATHOGENSR21AI163809 (A.C.R.). J.N. was supported by the
Swiss National Foundation under grant
310030_200407. P.L. was supported by National
Research Service Award T32 GM135096 from the
National Institutes of Health. The funders had no
role in study design, data collection and analysis,
decision to publish, or preparation of the
manuscript.
Competing interests: I have read the journal’s
policy and the authors of this manuscript have the
following competing interests: J.N. received
honoraria for presentations from Oxford
Immunotec, Gilead and ViiV.
Alveolar macrophage remodeling by Mycobacterium
Author summary
Tuberculosis, a disease caused by the bacteria Mycobacterium tuberculosis (Mtb), claims
around 1.6 million lives each year, making it one of the leading causes of death worldwide
by an infectious agent. Based on principles of conventional immunological memory, prior
exposure to either Mtb or M. bovis BCG leads to antigen-specific long-lasting changes to
the adaptive immune response that can be effective at protecting against subsequent chal-
lenge. However, how these exposures may also impact the innate immune response is less
understood. Alveolar macrophages are tissue-resident myeloid cells that play an impor-
tant role during Mtb infection as innate immune sentinels in the lung and the first host
cells to respond to infection. Here, we examined how prior Mycobacterium exposure,
either through BCG vaccination or a model of contained Mtb infection, impacts the early
innate response by alveolar macrophages. We find that prior exposure remodels the alveo-
lar macrophage response to Mtb through both cell-intrinsic changes and signals that
depend on the altered lung environment. These findings suggest that the early innate
immune response could be targeted through vaccination or host-directed therapy and
could complement existing strategies to enhance the host response to Mtb.
Introduction
Mycobacterium tuberculosis (Mtb), the causative agent of Tuberculosis (TB), claimed more
than 1.6 million lives in 2021. For the first time since 2005, the number of TB deaths worldwide
is increasing [1,2]. These trends highlight the urgent need for new vaccine and therapeutic
strategies. Traditionally, vaccine design has focused on generating a rapid, robust, and effective
adaptive immune response. However, recent studies suggest that the innate immune system
can undergo long-term changes in the form of trained immunity [3], which affect the outcome
of infection and could function as important components of an effective TB vaccine [4,5]. Ini-
tial trained immunity studies focused on central trained immunity, long-term changes to
hematopoietic stem cells that lead to functional changes in short-lived innate cell compart-
ments (i.e., monocytes, NK cells, dendritic cells) [3]. More recent studies have examined innate
training in tissue-resident macrophages and demonstrated that these cells are also affected by
prior exposures. Tissue-resident macrophages can respond to remote injury and inflammation
[6], undergo long-term changes [3], and display altered responses to bacteria after pulmonary
viral infection [7–9].
Lung resident alveolar macrophages (AMs) are the first cells to become infected with
inhaled Mtb and engage a cell-protective response, mediated by the transcription factor Nrf2,
that impedes their ability to effectively control bacterial growth [10,11]. In this study, we exam-
ined how prior mycobacterial exposure reprograms AMs and alters the overall innate response
in the lung to aerosol challenge with Mtb. To evaluate the range of AM plasticity, we chose to
compare the effects of subcutaneous BCG vaccination (scBCG) with those arising from a con-
tained Mtb-infection (coMtb) model. BCG, a live-attenuated TB vaccine derived from M.
bovis and typically given during infancy, provides protection against disseminated pediatric
disease but has lower efficiency against adult pulmonary disease [12–14]. In addition to
enhancement of Mtb-specific adaptive responses, based on shared antigens, BCG vaccination
also leads to changes in hematopoiesis and epigenetic reprogramming of myeloid cells in the
bone marrow [15], early monocyte recruitment and Mtb dissemination [16], and innate acti-
vation of dendritic cells critical for T cell priming [17]. Intranasal BCG vaccination protects
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1011871 January 18, 2024
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PLOS PATHOGENSAlveolar macrophage remodeling by Mycobacterium
against Streptococcus pneumoniae and induces long term activation of AMs [18]. A recent
study has shown that one mechanism by which BCG vaccination can elicit innate training
effects on AMs, separate from alterations to the monocyte population, is through changes to
the gut microbiome and microbial metabolites [19]. BCG vaccination is also associated with
trained immunity effects in humans [20–22], including well-described reductions in all-cause
neonatal mortality and protection against bladder cancer [3,23].
The coMtb model is generated by intradermal inoculation with virulent Mtb into the ears
of mice and leads to a contained but persistent lymph node Mtb infection [24,25]. The model
replicates observations in both humans and non-human primates (NHPs) that prior exposure
to Mtb infection provides protection against subsequent exposure, through a form of concomi-
tant immunity [26,27]. In a previous study, we found that coMtb leads to protection against
challenge with aerosol Mtb infection and protects mice against heterologous challenges,
including infection with Listeria monocytogenes and expansion of B16 melanoma cells, results
which suggest there is substantial remodeling of innate immune responses [25]. We found that
AMs from coMtb mice mount a more inflammatory response to Mtb infection compared to
AMs from control mice, and the enhancement in AM activation after infection, as measured
by MHC II expression, was dependent on IFNγR signaling [25].
Here, we show that while both coMtb and scBCG protect against low dose Mtb aerosol
challenge, they remodel the in vivo innate response in different ways. In AMs, scBCG elicits a
very strong interferon response in AMs, while coMtb promotes a broader pro-inflammatory
response that is less dominated by Interferon Stimulated Genes. Prior exposure to Mycobacte-
rium also remodels the frequency and phenotype of AM subsets in the lung prior to aerosol
challenge and leads to significant changes in the early dynamics of the overall innate response.
While changes in the AM responses that are unique to each exposure (scBCG, coMtb) depend
on the lung environment, stronger interferon-associated responses following both LPS and
Mtb stimulation ex vivo reveal cell-intrinsic changes.
Results
Prior exposure to Mycobacterium accelerates activation and innate cell
recruitment associated with Mtb control
We first determined the earliest stage of infection when the immune response was altered by
prior exposure to Mycobacterium. Mice were vaccinated with scBCG or treated with coMtb,
rested for 8 weeks, and then challenged with low-dose H37Rv aerosol infection. We measured
both the cellularity and activation of innate immune cells in the lung at 10, 12 and 14 days fol-
lowing infection, the earliest timepoints when innate cells are known to be recruited
[10,11,28]. We observed a significant increase in MHC II Median Fluorescence Intensity
(MFI) as early as day 10 for AMs from coMtb mice and day 12 for AMs from scBCG mice
compared to controls (Figs 1A and S1). There were no significant differences in MHC II
expression prior to challenge on day 0 (Fig 1A). There were also significant increases in the
numbers of monocyte-derived macrophages (MDM), neutrophils (PMN), dendritic cells, and
Ly6C+ CD11b+ monocytes by day 10 in coMtb mice compared to controls, with further
increases by days 12 and 14 (Figs 1B and S1). scBCG elicited similar increases in these popula-
tions starting at day 10, but the increases were not as robust or rapid as those observed in
coMtb. Significant differences between scBCG and coMtb groups were found at days 10, 12,
and 14 in MDM, day 14 in PMN, days 12 and 14 in dendritic cells, and day 14 in Ly6C+
CD11b+ monocytes (Fig 1B). While there were not significant differences in AM cell number
between the three conditions, there was a modest drop in viability for both AMs from scBCG
and coMtb mice by day 14 (Fig 1C).
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PLOS PATHOGENSAlveolar macrophage remodeling by Mycobacterium
Fig 1. Prior exposure to Mycobacterium leads to faster activation and innate cell recruitment following aerosol Mtb challenge. Control, scBCG, and
coMtb mice, 8 weeks following exposure, challenged with standard low-dose H37Rv. Lungs collected on day 10, 12, and 14 post-infection. A) AM MHC II
MFI. B) Total numbers of MDMs, PMN, DC, and Ly6C+CD11b+ monocytes. C) AM viability (% Zombie Violet-). D) Total numbers of CD44+ CD4+ T
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1011871 January 18, 2024
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PLOS PATHOGENSAlveolar macrophage remodeling by Mycobacterium
cells, ESAT6-tetramer+ CD4+ T cells, CD44+ CD8+ T cells, and TB10.4-tetramer+ CD8+ T cells. Mean +/- SEM, 5 mice per group, representative of 3
independent experiments. One-way ANOVA with Tukey post-test. * p< 0.05, **p< 0.01, ***p < 0.001. B, C) *, **, and *** scBCG or coMtb vs control; +, +
+ scBCG vs coMtb.
https://doi.org/10.1371/journal.ppat.1011871.g001
In addition to early changes in innate cell activation and recruitment, we observed early
recruitment of activated CD44+ CD4+ and CD8+ T cells in the lungs of both coMtb and
scBCG mice starting at day 10 as well as TB antigen-specific T cells, ESAT6-tetramer+ CD4+ T
cells and TB10.4-tetramer+ CD8+ T cells in coMtb mice starting at day 10 compared to con-
trols and scBCG mice (Figs 1D and S1). The differences in the recruitment of ESAT6-tetra-
mer+ CD4+ T cells between scBCG and coMtb were expected, as the ESAT6 antigen is
expressed by H37Rv but not by BCG.
We also evaluated whether these cell recruitment differences correlated with changes in
bacterial burden. To compile CFU results from three independent experiments, each with
slightly different bacterial growth (S2A Fig), we calculated a ΔCFU value that compared the
bacterial burden of each sample to the average for the respective control based on timepoint,
organ, and experiment. We found that both modalities generated a significant reduction in
bacterial burden compared to controls in the lung, spleen, and lung-draining lymph node
(LN) at day 14 and at day 28, as previously reported [16,25,29] (S2A–S2D Fig). At day 10, we
observed no difference in lung bacterial burden in scBCG or coMtb mice compared to controls
and a small increase in coMtb mice over scBCG. The majority of control mice had undetect-
able bacteria in spleen and LN at this time. There was a significant reduction in bacterial bur-
den in the lung by day 12 in coMtb but not scBCG mice and a significant reduction in CFU in
the LN in both models compared to controls (S2B Fig). Our results demonstrate that prior
Mycobacterium exposure leads to accelerated innate cell activation and recruitment, alongside
an increase in activated T cells, within the first two weeks of infection, with coMtb generating
a faster and more robust response compared to scBCG. These early immune changes are asso-
ciated with reductions in bacterial load in the lung. Differences in bacterial burden in the LN
and spleen suggest delays in bacterial dissemination, which first appear in the LN at day 12
and then in the spleen at day 14 (S2A Fig).
Mycobacterium exposure alters the in vivo alveolar macrophage response to
Mtb infection
To examine the earliest response to Mtb, we measured the gene expression profiles of Mtb-
infected AMs isolated by bronchoalveolar lavage and cell sorting, as previously described [10],
24 hours following aerosol challenge with high dose mEmerald-H37Rv (depositions: 4667,
4800) in scBCG-vaccinated mice and compared these measurements to previously generated
profiles of AMs from control (unexposed) mice [10] and coMtb mice [25] (S1 Table). As pre-
viously observed for the high dose infection, an average of 1.79% (range: 0.91–3.18%) of total
isolated AMs were Mtb infected 24 hours after infection. Changes induced by Mtb infection
were measured by comparing gene expression between Mtb-infected AMs and respective
naïve AMs for each of the three groups (control, scBCG, coMtb). Principal Component Analy-
sis on Mtb infection-induced changes showed that each of the three conditions led to distinct
expression changes (Fig 2A) and the majority of up-regulated Differentially Expressed Genes
(DEG) (fold change > 2, FDR < 0.05) were unique to each condition (control: 151 unique/257
total DEG, scBCG: 222/289, coMtb: 156/229) (Fig 2B). The divergence in the responses of
Mtb-infected AMs from each of the 3 conditions was also reflected in the diversity in the Top
20 Canonical Pathways identified by Ingenuity Pathway Analysis (S3 Fig).
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1011871 January 18, 2024
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PLOS PATHOGENSAlveolar macrophage remodeling by Mycobacterium
Fig 2. Mycobacterium exposure alters the alveolar macrophage transcriptional response to Mtb infection in vivo. Bulk RNA-seq profiles of Mtb-infected
AMs 24 hours following high-dose mEmerald-H37Rv infection. Gene expression changes are compared to respective naïve samples: Mtb-inf control vs naïve
control; Mtb-inf scBCG vs naïve scBCG; Mtb-inf coMtb vs naïve coMtb (controls- reported in Rothchild et al, 2019 [10]; coMtb- reported in Nemeth et al, 2020
[25]). A) Principal Component Analysis using DEG (|fold change| > 2, FDR< 0.05) in Mtb-infected AMs compared to respective naïve AMs (control, scBCG,
or coMtb). B) Venn Diagram and Intersection plot of overlap in up-regulated DEG between the 3 conditions. C) Gene Set Enrichment Analysis of 50 Hallmark
Pathways. Pathways shown have |NES| > 1.5 and FDR< 0.05 for at least one of the conditions. * FDR< 0.05, **FDR< 0.01, ***FDR< 0.001. D) Heatmap of
131 original in vivo DEG at 24 hours in Mtb-infected AM (left), Interferon Stimulated Genes, derived from macrophage response to IFNα (fold change >2, p-
value < 0.01) Mostafavi et al, 2016 [30] (center-left), IL6 JAK STAT3 hallmark pathway (center-right) and selected coMtb signature genes (right, *FDR< 0.05,
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1011871 January 18, 2024
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PLOS PATHOGENSAlveolar macrophage remodeling by Mycobacterium
FC> 2). E) Scatterplots depicting fold change (log2) for Mtb-infected AMs over naïve AMs for scBCG versus coMtb. Highlighted pathways: Nrf2-associated
genes out of 131 original in vivo DEG (56 genes, purple), shared leading edge genes for scBCG Interferon Alpha Response and Interferon Gamma Response
pathways (61 genes, orange), and leading edge genes for coMtb IL6 JAK STAT3 pathway (23 genes, green). Compiled from 4 independent experiments per
condition for control, 2 independent experiments per condition for scBCG and coMtb.
https://doi.org/10.1371/journal.ppat.1011871.g002
To identify trends between groups, we performed Gene Set Enrichment Analysis using a set
of 50 Hallmark Pathways. As we’ve shown previously, Mtb-infected AMs from control mice at
24 hours had strong enrichment for “Xenobiotic Metabolism” and “Reactive Oxygen Species”
pathways, indicative of the Nrf2-associated cell-protective response (Fig 2C). While these two
pathways were not among the most enriched pathways in the exposed groups, Mtb-infected
AMs from all groups upregulated genes associated with the 131 in vivo DEG that make up the
cell-protective Nrf2-driven response at 24 hours [10] (Fig 2D). Expression profiles for Mtb-
infected AMs from scBCG mice showed the strongest enrichment for “Interferon Alpha
Response” and “Interferon Gamma Response” pathways, which contain many shared genes
(Fig 2C). The strength of the interferon response was further highlighted by examining gene
expression changes in a set of Interferon Stimulated Genes (ISGs) identified from macro-
phages responding to IFNα (fold change > 2, p-value < 0.01) [30] (Fig 2D). Expression pro-
files for Mtb-infected AMs from coMtb mice showed a weaker enrichment for interferon
response pathways with fewer up-regulated ISGs compared to scBCG, and instead showed
enrichment across a number of inflammatory pathways including “IL6 JAK STAT3 signaling”
in comparison to the other groups (Fig 2C and 2D). A direct comparison between the gene
expression patterns for AMs from scBCG versus coMtb mice could be visualized more readily
by scatterplots highlighting either Nrf2-associated, Interferon Alpha and Gamma Response, or
IL-6 JAK STAT3 pathway genes (Fig 2E).
In summary, Mycobacterium exposures alter the initial in vivo response of AMs to Mtb
infection 24 hours after challenge and remodel the AM response in distinct ways. AMs from
scBCG vaccinated animals mount a strong interferon-associated response, while AMs from
coMtb mice express a more diverse inflammatory profile consisting of both interferon-associ-
ated genes as well as other pro-inflammatory genes, including those within the IL-6 JAK
STAT3 pathway.
Mycobacterium exposure modifies the baseline phenotype of alveolar
macrophages in the airway
Although scBCG and coMtb exposures alter the AM responses to Mtb infection in vivo, tran-
scriptional effects are not widely evident prior to infection as measured by bulk RNA-sequenc-
ing of naïve AMs from control, scBCG, or coMtb mice, including expression of innate
receptors and adaptors (S4 Fig). However, we posited that remodeling effects were likely not
homogenous across the entire AM population and that small heterogenous changes to baseline
profiles might be detectable using a single cell approach. We therefore analyzed pooled BAL
samples taken from 10 age- and sex-matched mice from each of the three conditions (control,
scBCG, coMtb) eight weeks following Mycobacterium exposure by single cell RNA-sequencing
(scRNAseq). Gross cellularity was unaffected by mycobacterial exposure as measured by flow
cytometry analysis of common lineage markers with AMs being the dominant hematopoietic
cell type (57.4–85.8% of CD45+ live cells), followed by lymphocytes (5.26–22.7% of CD45+ live
cells) with smaller contributions from other innate cell populations (S5 Fig).
Six samples, with an average of 2,709 cells per sample (range: 2,117–4,232), were analyzed
together for a total of 17,788 genes detected. The most prominent expression cluster mapped
to an AM profile, with smaller clusters mapping to T and B lymphocytes, dendritic cells, and
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PLOS PATHOGENSAlveolar macrophage remodeling by Mycobacterium
neutrophils (Fig 3A). All cells that mapped to a macrophage profile were extracted and reclus-
tered into 11 macrophage subclusters (Fig 3B and 3C). All but two of the macrophage subclus-
ters (clusters 6 and 8) expressed AM lineage markers (Siglecf, Mertk, Fcgr1 (CD64), Lyz2
(LysM), and Itgax (CD11c) and had low expression of Itgam (CD11b) (Fig 3D). Cluster 6
showed high Itgam and Lyz2 expression and lower Siglecf expression, likely representing a
small monocyte-derived macrophage population in the airway, while cluster 8 displayed high
Lyz2 expression, low expression for other AM markers, and expression of Sftpa1 and Wfdc2
(S2 Table), genes most commonly expressed by pulmonary epithelial cells, suggesting that this
cluster represents a small population of epithelial cells,
To interpret the various expression subclusters, we identified the genes that most distin-
guished each cluster from the others (S6 Fig and S2 Table). As has been reported by other
groups [31,32], a small proportion of the AMs in two clusters (Clusters 4, 9) had high expres-
sion of cell cycle genes (i.e., Top2a, Mki67), indicative of cell proliferation (Fig 3E and S2
Table). Cluster 0 was the most abundant macrophage cluster with high expression of lipid
metabolism genes (i.e., Abcg1, Fabp1) (Fig 3F and S2 Table). Cluster 2 was significantly
increased in relative frequency for scBCG samples compared to coMtb (p = 0.032, One-way
ANOVA with Tukey post-test) and associated with oxidative stress response genes (Hmox1,
Gclm). Several Cluster 2 associated genes, Slc7a11, Hmox1, and Sqstm1 also had higher overall
expression level in scBCG samples compared to either control or coMtb (Fig 3G and S2
Table). Cluster 7 was the only cluster with an increase in relative frequency trending for both
scBCG and coMtb (p = 0.076, One-way ANOVA). Cells in this cluster had high expression of
Interferon Stimulated Genes (Ifit1, Isg15) and within this cluster, cells from scBCG samples
had higher expression of Axl and Ifi204 than cells from coMtb samples. (Fig 3H and S2
Table). Cluster 3 had significantly higher relative frequency for coMtb samples compared to
control and scBCG samples (p = 0.021, 0.039, respectively, One-way ANOVA with Tukey post-
test) and was distinguished by expression of macrophage-associated transcription factors
(Cebpb, Zeb2, Bhlhe40) [33,34], mitochondrial oxidative phosphorylation (mt-Co1, mt-Cytb,
mt-Nd2), chromatin remodeling (Ankrd11, Baz1a), and immune signaling including the
CARD9 complex (Malt1, Bcl10, Prkcd) (Figs 3I and S7 and S2 Table). This expression profile
closely matches a subcluster of AMs previously described by Pisu et al, as an “interstitial mac-
rophage-like” AM population (labeled “AM_2”) that expanded in relative frequency in lung
samples 3 weeks following low-dose H37Rv infection [31]. Relative expression level for Cebpb,
Mt-Cyb, and Lars2 within Cluster 3 was higher for cells from coMtb samples compared to
either control or scBCG samples.
Interestingly, Cluster 2 (higher relative frequency in scBCG) and Cluster 3 (higher relative
frequency in coMtb) represent divergent endpoints of a pseudotime plot generated by a trajec-
tory inference analysis, regardless of whether the starting point is the most abundant cluster in
the control group (Cluster 0) (Fig 3J, top) or the cluster of proliferating cells (Cluster 4) (Fig
3J, bottom). This result suggests that scBCG and coMtb may drive AM phenotypes in diver-
gent directions and indicates that AM responses can be remodeled into more than one flavor,
rather than only a binary “on/off” state.
To further investigate whether a sub-cluster of AMs might be responsible for the increased
enrichment for Interferon Alpha/Gamma Response pathways in the in vivo Mtb response in
scBCG and coMtb mice, we scored each cluster based on the ISG gene module, previously
used in Fig 2D. As expected, we observed that only Cluster 7 showed strong enrichment for
ISGs, which trended up in frequency for both scBCG and coMtb samples (Fig 3K).
To investigate potential reprogramming of non-AM macrophages, we examined Cluster 6,
the macrophage cluster with low Siglecf and high Itgam expression that is consistent with a
monocyte-derived macrophage population. We observed no statistically significant differences
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Fig 3. Mycobacterium exposure modifies the alveolar macrophage phenotype in the airway pre-challenge. Single-cell RNA-sequencing of BAL samples from control,
scBCG, and coMtb mice pre-aerosol challenge. A) Compiled scRNAseq data for all BAL samples, highlighted by major clusters, annotated based on closest Immgen
sample match. B) Highlighting of the two clusters used for macrophage subcluster analysis. C) The 11 clusters generated by the macrophage subcluster analysis, separated
by condition. D) Expression of major macrophage-specific markers: Siglecf, Mertk, Fcgr1, Lyz2, Itgam (CD11b), and Itgax (CD11c). E-I) Relative frequency of each
macrophage subcluster by condition. (violin plots by cluster) Expression level of representative genes distinguished by that cluster compared to other clusters. One-way
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ANOVA with Tukey post-test, * p< 0.05. (3-way violin plots by condition) Differentially expressed genes within Clusters 2, 7, and 3 between control vs scBCG vs coMtb
samples. Wilcoxon Rank Sum Test, Bonferroni adjusted p-value. *adj-p< 0.05, **adj-p< 0.01, ***adj-p< 0.001. J) Pseudotime analysis (Monocle3) with starting node at
the largest cluster in control, Cluster 0 (top) and at the cluster of proliferating cells, Cluster 4,9 (bottom). K) ISG Module Score by cluster. Module derived from
macrophage response to IFNα (fold change> 2, p-value< 0.01) (Mostafavi et al, 2016) [30]. Data is compiled from two independent experiments (circle, triangle) with 3
conditions each for a total of 6 samples.
https://doi.org/10.1371/journal.ppat.1011871.g003
in the relative size of this cluster between each of the three conditions (S8A Fig). However,
there were a number of Differentially Expressed Genes (DEGs) between the groups, including
decreases in expression of CD11b (Itgam) and Macrophage scavenger receptor (Msr1) for
scBCG and coMtb macrophages compared to controls, increases in MHC-related genes
(H2-Aa, Cd74) and iron-metabolism associated genes (Cd63, Fth1, Ftl1) for coMtb macro-
phages compared to controls (S8B Fig). A previous study found IV BCG induced chromatin
accessibility changes in AMs and IMs for some of these genes [31].
Additionally, we compared baseline changes to AMs following scBCG and coMtb expo-
sures to AM changes following ivBCG vaccination (S9 Fig). Overall, we found that ivBCG
exposure led to similar changes in AM populations to that of scBCG vaccination, with
increased frequency of AMs clustering to “oxidative stress response” and “interferon stimu-
lated genes (ISGs)” (S9C Fig). These baseline changes by scRNAseq mirror what is observed
for the response of Mtb-infected AMs from ivBCG mice 24 hours after infection by bulk RNA-
seq (S9A and S9B Fig). Profiles of Mtb-infected AMs from ivBCG vaccinated mice most
closely match those of Mtb-infected AMs from scBCG vaccinated mice, with robust up-regula-
tion of Interferon Stimulated Genes. These results demonstrate that both SC and IV BCG vac-
cination lead to similar remodeling of AMs, with profiles distinct from that of coMtb
exposure.
In summary, scRNAseq analysis of macrophages isolated by BAL demonstrate that Myco-
bacterium exposure leads to subtle changes in a small minority of AM subsets in the airway,
including ones associated with interferon responses and an interstitial macrophage phenotype,
while leaving the most abundant subsets of AMs unchanged in frequency or gene expression.
We hypothesize that these small changes in baseline profiles may be sufficient to drive the
more substantial changes observed in the AM Mtb response in vivo, as described in Fig 2.
Mycobacterium exposure has minimal impact on T cell populations in the
airway
While AMs are the dominant immune cell type in the airway, other cell populations make up
an average of 18.4% of the cells within the BAL in controls (range: 10.4–26.3%) and 31.3% in
exposed groups (range: 14.0–48.8%). To examine how Mycobacterium exposure influenced
other cells in the airway, we focused on T cells and dendritic cells (DCs) which have two of the
highest relative frequencies after AMs (Fig 4A and 4B). T cells and DCs were each combined
from two original clusters each. Neither population showed a statistically significant difference
in relative frequency (Fig 4B). To examine qualitative changes in the T cell population in
greater detail, we next reclustered the T cells, resulting in 7 T cell clusters. We manually anno-
tated each of the clusters based on the most closely matched Immgen profiles and the expres-
sion of key lineage specific markers (Figs 4A–4C and S10). We focused on the 5 most
abundant T cell subclusters (Clusters 0–4). While we observed subtle shifts in the relative fre-
quency of each group, none reached statistical significance. Cluster 0, the most abundant clus-
ter, had an expression profile most consistent with γδ T cells, including expression of Cd3e
with low to nil Cd4 and Cd8a and some expression of Zbtb16 (PLZF) and Tmem176a, an ion
channel regulated by RORγt and reported to be expressed by lung γδ T cells [35,36] (Figs 4D–
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Fig 4. Airway T cell and dendritic cell profiles following Mycobacterium exposure. Single-cell RNA-sequencing of BAL samples from control, scBCG, and coMtb mice
pre-aerosol challenge. A) Compiled scRNAseq data for all BAL samples, with T cell and dendritic cell clusters highlighted. B) Relative frequency of T cells and DCs. C-F) T
cell subcluster analysis. C) T cell subclusters compiled and split by condition. Annotations made following Immgen profile matches and manual marker inspection. D)
Relative frequency of Clusters 0–4 for each condition. E) UMAP gene expression plot for general T cell markers. F) UMAP gene expression plot cluster-specific markers
split by condition. G-J) Dendritic cell subcluster analysis. G) Dendritic cell subcluster, colored by each of 3 different clusters. H) Relative frequency of Clusters 0–2 for each
condition. I) Violin plots for cluster-specific markers and genes of interest. J) Differentially expressed genes in Cluster 0 split by condition. *adj-p< 0.05, **adj-p< 0 .01,
***adj-p< 0.001, Wilcoxon Rank Sum Test, Bonferroni adjusted p-values. Data is compiled from two independent experiments with 3 conditions each for a total of 6
samples.
https://doi.org/10.1371/journal.ppat.1011871.g004
4F and S10). Cluster 1 matched a profile for effector CD4+ T cells (Figs 4D–4F and S10), and
Cluster 2 matched a profile for naïve CD8+ T cells (Figs 4D–4F and S10). Cluster 3 had a pro-
file consistent with effector memory/resident memory CD8+ T cells (TEM/RM) (Figs 4D–4F
and S10) and Cluster 4 had a profile consistent with NK cells. Overall, there were no
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significant changes in the relative frequency of T cell or NK subclusters, despite detection of a
number of different lymphocyte subsets in the airway.
Mycobacterium exposure modifies the dendritic cell airway landscape
Re-clustering of DCs yielded 2 major clusters (Cluster 0, 1) and 1 minor cluster (Cluster 2),
which had a mixed phenotype with expression of genes from both major clusters (Fig 4G).
Cells in Cluster 0 had high expression of Clec9a, Itgae (CD103), and MHC II genes (H2-Ab1,
H2-DMa) consistent with an expression profile of lung CD103+ cDCs [37] (Fig 4I), while cells
in Cluster 1 had higher expression of Batf3, Ccr7, and Fscn1. All three of the clusters had high
Irf8 expression and lower expression of Xcr1, Irf4, and Itgam (CD11b) (Fig 4I). While the
coMtb samples trended higher in relative frequency for Cluster 0 and low for Cluster 1, com-
pared to the control or scBCG samples, these differences did not meet statistical significance
(One-way ANOVA with Tukey post-test, p = 0.16, p = 0.11) (Fig 4H). This was likely due to
the limit in statistical power with only 2 replicates. However, it was notable that for cells within
Cluster 0, there was a significantly higher expression level for MHC II genes (H2-Aa,
H2-DMb1, and Cd74) for coMtb cells compared to control or scBCG cells (Fig 4J). This sug-
gests that coMtb might be able to elicit more mature or activated DCs in the airway. Overall,
scRNAseq analysis shows that Mycobacterium exposure leads to minimal changes in T cell and
dendritic cell populations in the airway, although we hypothesize that small changes in DC
maturation/activation could have important impacts on adaptive immune priming dynamics
after aerosol infection.
Cell-intrinsic remodeling of alveolar macrophages following
Mycobacterium exposure licenses an interferon response in vitro
Analysis of the AM response to Mtb in vivo demonstrates that the very earliest immune
response to Mtb is altered by previous Mycobacterium exposure. However, one limitation to
this approach is the inability to discern whether changes to AMs are cell-intrinsic or dependent
on the altered tissue environment, especially the presence of Mtb-specific T cells. Therefore, to
determine whether Mycobacterium exposure induces cell-intrinsic changes to AMs, we iso-
lated AMs from control, scBCG, and coMtb mice, stimulated them ex vivo with LPS, Pam3Cys,
or H37Rv, and measured their transcriptional profiles 6 hours later (Fig 5A). First, PAMP-spe-
cific trends were notable. AMs from coMtb and scBCG mice showed distinct responses com-
pared to AMs from control mice following LPS and H37Rv stimulation, but only minimal
changes following Pam3Cys stimulation(Fig 5B and S3 Table). No obvious changes in innate
receptor or adaptor expression explain the PAMP-specific differences (S11 Fig). Second, as we
have previously reported, Mtb-infected AMs did not strongly up-regulate Nrf2-associated
genes ex vivo (Fig 5C). Third, when we examined the gene sets that distinguished the in vivo
AM response between scBCG and coMtb mice, “Interferon Alpha/Gamma Response” and
“IL6 JAK STAT3” (Fig 2E), we found that the differences between exposure modalities were
diminished ex vivo, suggesting contribution of the lung environment to the quality of the
response (Fig 5C). Using Gene Set Enrichment Analysis, we identified “Interferon Gamma
Response”, “Interferon Alpha Response”, “TNFa signaling via NF-kB”, and”Inflammatory
Response” pathways as the most strongly enriched for LPS and H37Rv responses from scBCG
and coMtb AMs (Fig 5D). To assess whether the cell-intrinsic changes observed were long-
lasting, we compared the responses of AMs at 8 or 23 weeks following scBCG vaccination by
RT-qPCR. Increases in gene expression were as robust or even enhanced 23 weeks following
exposure compared to 8 weeks, suggesting that exposure-induced changes to AMs are rela-
tively long-lived (S12 Fig). To validate whether changes in gene expression were reflected at
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PLOS PATHOGENSAlveolar macrophage remodeling by Mycobacterium
Fig 5. Cell-intrinsic remodeling of alveolar macrophages following Mycobacterium exposure. A) AM isolation 8 weeks following scBCG or coMtb exposure. AMs were
stimulated with Pam3Cys (10 ng/ml), LPS (10 ng/ml), and H37Rv (effective MOI ~2:1) for 6 hours (RNA-seq) or 20 hours (flow cytometry). B-D) Gene expression
changes measured by bulk RNA-seq for stimulated AMs compared to respective unstimulated AMs (i.e., LPS-stim control AM vs unstim control AM; LPS-stim scBCG
AM vs unstim scBCG AM; LPS-stim coMtb AM vs unstim coMtb AM). B) Scatterplots, log2 fold change gene expression for stimulated to unstimulated AMs for each
condition (control, scBCG, coMtb). Differentially expressed genes (DEG) are highlighted for one or both conditions (|Fold change| > 2, FDR< 0.05 for Pam3Cys and LPS;
|Fold change| > 2, FDR< 0.2 for H37Rv). C) Scatterplots, log2 fold change gene expression for H37Rv-stimulated to unstimulated scBCG versus coMtb AMs. Genes
highlighted derived from gene sets in Fig 2E. Nrf2-associated genes (56 genes, purple), Interferon Alpha/ Gamma Response (61 genes, orange), and IL6 JAK STAT3 (23
genes, green). D) Gene Set Enrichment Analysis results for 50 HALLMARK pathways. Pathways shown have NES> 1.5 and FDR< 0.05 for at least one of the conditions.
*FDR< 0.05, **FDR< 0.01, ***FDR< 0.001. E) Gating strategy and MHC II and TNF histograms for coMtb AMs, no stimulation versus LPS. F-G) MHC II and TNF MFI
in control, scBCG, and coMtb AMs after 20 hours of LPS stimulation. *p< 0.05, **p< 0.01, ***p< 0.001, One-way ANOVA with Tukey post-test.
https://doi.org/10.1371/journal.ppat.1011871.g005
the protein level, we sought to develop a flow cytometry-based assay to assess AM-specific
responses. Primary AMs were stimulated with LPS for 20 hours and both MHC II and TNF
expression were measured by flow cytometry (Fig 5E). We found that AM from coMtb mice
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PLOS PATHOGENSAlveolar macrophage remodeling by Mycobacterium
had significantly higher MHC II expression than controls and a similar pattern was seen for
scBCG AM in 1 of 2 experiments (Fig 5F). AMs from coMtb mice also showed a significant
increase in TNF expression in 1 of 2 experiments (Fig 5G).
Because the “Interferon Alpha Response” and “Interferon Gamma Response” pathways
were most highly enriched for the H37Rv stimulation following Mycobacterium exposure, we
decided to further investigate the Interferon-associated response [30]. We specifically sought
out a dataset that would identify ISGs specific to Mtb-infected macrophages. To generate an
IFNγ-derived signature, we would need a macrophage-T cell co-culture system and to sort out
the Mtb-infected macrophages, because murine macrophages do not produce IFNγ during
Mtb infection in vitro. Therefore, we decided to examine an IFNα/β-derived signature from a
data set of Mtb-infected IFNAR-/- bone marrow derived macrophages (BMDMs). We catego-
rized the macrophage response to H37Rv stimulation as “IFN-dependent” or “IFN-indepen-
dent” based on gene expression of WT versus IFNAR-/- BMDMs following H37Rv infection
(see methods section) (S4 Table) [38]. Expression of IFN-dependent genes was minimally
induced in control AMs but strongly up-regulated in AMs from Mycobacterium exposed mice,
as measured by the GSEA normalized enrichment score (NES) (Fig 6A, left). In contrast,
expression of IFN-independent genes was modestly upregulated in control AMs and only
slightly altered by Mycobacterium exposure (Fig 6A, right). When we applied these two gene
sets to the in vivo response profiles described in Fig 2 generated for Mtb-infected AMs follow-
ing high dose infection with mEmerald-H37Rv, we observe that Mtb-infected AMs from
scBCG mice up-regulate the IFN-dependent response in vivo, suggesting that the licensing of
the IFN-dependent response plays a role in vivo following BCG vaccination (Fig 6B). The dif-
ference between the in vitro and in vivo response for AMs from coMtb mice points to an addi-
tional contribution of the lung environment.
These results demonstrate that prior Mycobacterium exposure leads to cell-intrinsic
changes in AMs that license an enhancement of IFN-dependent responses to Mtb that are
retained in vitro, while qualitative differences in the response between scBCG and coMtb in
vivo are dependent on signals from the lung environment.
Discussion
Here we describe remodeling of AMs, long-lived airway-resident innate cells, following two
modalities of Mycobacterium exposure, scBCG vaccination and coMtb, a model of contained
Mtb infection. AMs are the first cells to be productively infected in the lung following aerosol
Mtb infection [10,11]. We previously showed that AMs initially respond to Mtb infection with
a cell-protective, Nrf2-driven program that is detrimental to early host control [10], suggesting
that the lack of a robust response by AMs prevents effective host control early on. In line with
this model, others have shown that depletion of AMs or strategies that “bypass” AMs including
directly injecting antigen-primed DCs or activating DCs accelerate the immune response and
reduce bacterial burden [17,39,40]. However, how vaccination or prior exposures impact the
initial response of AMs and whether there are therapeutic strategies that would enhance their
initial response to infection have not been well studied [41].
Most studies examining the impacts of prior exposure to either Mtb or other species of
mycobacteria, including BCG vaccination, have focused on the durable antigen-specific
changes to the adaptive immune response. In contrast, we focused on changes to tissue-resi-
dent innate cells and their responses at the earliest stages of infection (� 14 days). Along with
early changes to the T cell response, both scBCG and coMtb accelerate innate cell activation
and immune cell recruitment in the first 10–14 days following Mtb aerosol infection, and even
the very initial AM response to Mtb, within the first 24 hours of infection, is remodeled
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Fig 6. Mycobacterium exposure licenses an interferon-dependent response to H37Rv by alveolar macrophages. Gene expression changes measured by bulk RNA-seq
for Mtb-infected AMs compared to respective unstimulated AMs (i.e., Mtb-inf control AM vs unstim control AM; Mtb-inf scBCG AM vs unstim scBCG AM; Mtb-inf
coMtb AM vs unstim coMtb AM). A) Gene expression for control, scBCG, and coMtb AMs, 6 hour H37Rv infection ex vivo, log2 fold change (Mtb-infected/uninfected).
IFN-dependent genes (339 total) and IFN-independent genes (352 total) based on WT vs IFNAR-/- BMDM bulk RNA-seq dataset (Olson et al, 2021) (see Methods
section). B) Gene expression for control, scBCG, and coMtb AMs, 24 hour in vivo H37Rv infection, Mtb-infected sorted, log2 fold change (Mtb-infected/uninfected) for
the same IFN-dependent and IFN-independent gene sets in (A). Grey bars indicate N.D. Normalized Enrichment Score (NES) calculated by GSEA for two data sets
alongside Hallmark Pathways. +FDR< 0.05, ++FDR< 0.01, +++FDR< 0.001.
https://doi.org/10.1371/journal.ppat.1011871.g006
following exposure to Mycobacterium. The durable changes observed fit with a number of
recent studies which have uncovered either enhanced AM antimicrobial phenotypes [7–9] or
impaired responses [42,43] following viral infection. Other studies have identified long-lasting
changes to AMs following intranasal immunization of either adenoviral-based or inactivated
whole cell vaccines [18,44,45].
We observe that the most robust cell-intrinsic changes to AM responses following scBCG
or coMtb are found in IFN-dependent genes (Fig 6) and ISGs (Fig 2D), suggesting a critical
role for interferon signaling in the changes to the early innate response in the lung during
infection. Notably, this finding is not limited to the murine model. BAL from NHPs following
IV, ID, or aerosol BCG vaccination similarly show AMs enriched for Interferon Gamma
Response pathway genes [46]. AMs can respond to both Type I (IFNα/β) and Type II Interfer-
ons (IFNγ) and it is not possible to distinguish between responses to IFNα/β and IFNγ based
on transcriptional analysis alone. The presence of live bacteria within both scBCG and coMtb
models limits system-wide perturbations, such as T cell depletion or anti-IFNγ blockade,
which would reverse containment [24]. For this reason, we have not been able to directly test
how interferon signals derived from scBCG or coMtb remodel AMs in a cell-autonomous
manner, but we envision future studies to examine the specific effects of individual cytokines
on AM remodeling.
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Even though IFNAR-/- macrophages were used to generate the ISG signature identified in
Fig 6, IFNγ is the more likely candidate to contribute to AM remodeling following Mycobacte-
rium exposure. IFNγ is required for the generation of trained immunity in bone marrow-
derived myeloid cells following IV BCG vaccination [15,47]. While IV and aerosol H37Rv
infection was found to induce Type I IFNs and reduce myelopoiesis [47], we previously found
that coMtb, in which Mtb is contained within the ear-draining lymph node, leads to low-level
systemic cytokinemia, including IFNγ production. Using WT:Ifngr1-/- mixed bone marrow
chimeras, we showed that IFNγ signaling was responsible for monocyte and AM activation fol-
lowing establishment of coMtb [25]. Additionally, several reports have identified T cell-derived
IFNγ as critical for altering AM function, although the immunological outcome varies sub-
stantially based on the context. In one study, T cell-derived IFNγ following adenoviral infec-
tion leads to AM activation, innate training and protection from S. pneumoniae [8], while in
another study influenza-induced T cell-derived IFNγ leads to AM dysfunction and impaired
clearance of S. pneumoniae [43]. A study of 88 SARS-CoV-2 patients identified AMs and T
cell-derived IFNγ as part of a positive feedback loop in the airway [48]. In contrast, type I IFN
signatures are associated with active TB or TB disease progression in both humans and non-
human primates [49–51]. Host perturbations such as treatment with poly I:C or viral co-infec-
tion that induce type I IFN lead to worsened disease [52,53], type I IFN has been shown to
block production of IL-1β in myeloid cells during Mtb infection [54], and type I IFN drives
mitochondrial stress and metabolic dysfunction in Mtb infected macrophages [38].
We note that the two modalities tested here consist of different mycobacterial species, dif-
ferent doses, and different routes. We expect that all three of these factors likely contribute to
the quality of AM remodeling. For example, they could be important for the location, timing,
and amount of IFNγ that AMs are exposed to. While an in-depth examination of each of these
factors is beyond the scope of this study, the side-by-side comparison of the two different
exposure models, scBCG and coMtb, allows us to examine the plasticity of AM phenotypes
and the impact of the local and/or systemic environments leading to different responses. It is
notable that scBCG is quickly cleared from WT mice, while coMtb replication is sustained in
the superficial cervical lymph node for up to a year or longer [25]. Protection from H37Rv
challenge mediated by coMtb is abrogated following antibiotic treatment but not completely
lost [25]. This suggests that there may be different contributions to AM remodeling from
active bacterial replication and from long-term microenvironment changes following bacterial
clearance, which will be addressed in follow-up studies.
In particular, it is notable that the modality-specific signatures identified through in vivo
transcriptional analysis disappeared following ex vivo isolation, along with the Nrf2 signature.
The difference between in vivo and ex vivo signatures suggests a critical contribution of the
altered lung microenvironments in AM remodeling, which deserves additional follow-up
studies.
One additional limitation of our approach is that the ex vivo samples were collected in bulk,
in the absence of cell sorting, and so, unlike the in vivo studies, a very small number of
bystander AMs were likely collected alongside the Mtb-infected AMs, which could have had
minor impacts on the transcriptional signatures. The fact that AMs can be remodeled into
more than one state suggests additional complexity in innate immune features that has not yet
been fully explored. Heterogeneity in myeloid reprogramming is not limited to the murine
model and has also been observed in human monocytes [55].
Several studies have recently described innate-adaptive interactions within the airway that
are thought to impact infection dynamics [46,48]. We note that in these models we observe
innate cell activation and recruitment occurring at the same time as T cell activation and
recruitment, and that these events are likely promoting one another. We are particularly
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intrigued by the changes in AM MHC class II expression that we observed in vivo during
the first two weeks of infection (Fig 1A) and following ex vivo stimulation (Fig 5F). AMs are
considered to be poor antigen presenters, relative to other myeloid subsets, yet the faster
Mtb-specific T cells are recruited to the lung, the more likely it is that AMs will serve as pri-
mary T cell targets [37,56–60]. Our results suggest that enhancement of AM antigen presenta-
tion could be one innate mechanism that could be targeted to complement and synergize with
the adaptive immune response during infection. Other potential mechanisms by which AM
remodeling may contribute to enhanced bacterial control after Mtb aerosol challenge include
enhanced phagocytic activity or increased direct antimycobacterial activity, as previously dem-
onstrated by Jeyanathan et al [19]. Future studies are needed to further interrogate the contri-
bution of these innate mechanisms.
There are many other remaining questions. While we identify both cell-intrinsic changes
and changes dependent on the lung environment, we do not yet know whether the cell-intrin-
sic changes are retained long-term in the absence of environmental cues. We do not know the
durability of the changes, both cell-intrinsic and environment-dependent, and whether they
are mediated by epigenetic effects. Our longest experiment showed retention of cell-intrinsic
changes to AMs after 23 weeks. In Nemeth et al, we showed that antibiotic treatment lessened
the protection mediated by coMtb, suggesting that ongoing replication is a key part of host
protection [25]. AM remodeling is retained 8 weeks or longer after the initial exposures, a
timepoint when there is little to no detectable mycobacteria in the lung, ruling out a require-
ment for local ongoing bacterial replication in AM remodeling, although systemic signals
derived from remote bacterial replication may still play a role. We also performed several of
these studies with intravenous BCG vaccination (ivBCG), which in the mouse model leads to
more sustained bacterial replication than scBCG [61]. While we observed similar remodeling
to AMs in the ivBCG model, these were not different in quality to those of scBCG vaccination,
despite the major differences in bacterial replication and far greater T cell recruitment to the
airway, suggesting that these changes are not required for AM remodeling (S9 Fig).
There is still much unknown about the signals that drive reprogramming of tissue-resident
innate cells. Ideally, vaccines would be designed to leverage these signals in order to promote
the most effective interactions between innate and adaptive responses. Identifying the ways
that AMs are reprogrammed by inflammatory signals and the effects of their changed pheno-
types on the early stages of infection will help to improve future vaccines or host-directed
therapies.
Materials and methods
Ethics statement
Animal studies performed at Seattle Children’s Research Institute were performed in compli-
ance with and approval by the Seattle Children’s Research Institute’s Institutional Animal Care
and Use Committee. Animal studies performed at University of Massachusetts Amherst were
performed in compliance with and approval by the University of Massachusetts Amherst’s
Institutional Animal Care and Use Committee. All mice were housed and maintained in spe-
cific pathogen-free conditions.
Mice
C57BL/6 mice were purchased from Jackson Laboratories (Bar Harbor, ME). 6–12 week old
male and female mice were used for all experiments, except for RNA-sequencing, which used
only female mice for uniformity. Mice infected with Mtb were housed in Biosafety Level 3
facilities in Animal Biohazard Containment Suites.
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Mycobacteria exposure models: BCG immunization and establishment of
coMtb
BCG-Pasteur was cultured in Middlebrook 7H9 broth at 37˚C to an OD of 0.1–0.3. Bacteria
was diluted in PBS and 1 x 106 CFU in 200 ml was injected subcutaneous (SC) or intravenous
(IV). Intradermal infections to establish coMtb were performed as formerly described [24],
with some modifications as detailed previously [25]. Briefly, 10,000 CFU of Mtb (H37Rv) in
logarithmic phase growth were injected intradermally into the ear in 10 μL PBS using a 10 μL
Hamilton Syringe, following anesthesia with ketamine/xylazine.
M. tuberculosis aerosol infections and lung mononuclear cell isolation
Aerosol infections were performed with wildtype H37Rv, including some transformed with an
mEmerald reporter pMV261 plasmid, generously provided by Dr. Chris Sassetti and Christina
Baer (University of Massachusetts Medical School, Worcester, MA). For both standard (~100
CFU) and high dose (1,473–4,800 CFU) infections, mice were enclosed in an aerosol infection
chamber (Glas-Col) and frozen stocks of bacteria were thawed and placed inside the associated
nebulizer. To determine the infectious dose, three mice in each infection were sacrificed one
day later and lung homogenates were plated onto 7H10 plates for CFU enumeration. High
dose challenge and sorting of Mtb-infected AM was performed 4 weeks following scBCG vac-
cination and 2 weeks following coMtb vaccination as previously described [62]. All other anal-
ysis was performed 8 weeks following Mycobacterium exposures.
Lung single cell suspensions
At each time point, lungs were removed, and single-cell suspensions of lung mononuclear cells
were prepared by Liberase Blendzyme 3 (70 ug/ml, Roche) digestion containing DNaseI
(30 μg/ml; Sigma-Aldrich) for 30 mins at 37˚C and mechanical disruption using a gentle-
MACS dissociator (Miltenyi Biotec), followed by filtering through a 70 μM cell strainer. Cells
were resuspended in FACS buffer (PBS, 1% FBS, and 0.1% NaN3) prior to staining for flow
cytometry. For bacterial enumeration, lungs were processed in 0.05% Tween-80 in PBS using a
gentleMACS dissociator (Miltenyi Biotec) and were plated onto 7H10 plates for CFU enumer-
ation. ΔCFU (log) was calculated as follows: ΔCFU = log((sample CFU)/(average control
CFU*). *For respective experiment, timepoint, and organ. A ΔCFU value of -1 corresponds to
a 10-fold reduction in CFU for the sample, compared to the control. Similarly, a ΔCFU value
of 1 corresponds to a 10-fold increase in CFU.
Alveolar macrophage isolation
AMs for cell sorting, bulk RNA-sequencing, single cell RNA-sequencing, and ex vivo stimula-
tion were collected by bronchoalveolar lavage (BAL). BAL was performed by exposing the tra-
chea of euthanized mice, puncturing the trachea with Vannas Micro Scissors (VWR) and
injecting 1 mL PBS using a 20G-1” IV catheter (McKesson) connected to a 1 mL syringe. The
PBS was flushed into the lung and then aspirated three times and the recovered fluid was
placed in a 15mL tube on ice. The wash was repeated 3 additional times. Cells were filtered
and spun down. For antibody staining, cells were suspended in FACS buffer. For cell culture,
cells were plated at a density of 5 x 104 cells/well (96-well plate) in complete RPMI (RPMI plus
FBS (10%, VWR), L-glutamine (2mM, Invitrogen), and Penicillin-Streptomycin (100 U/ml;
Invitrogen) and allowed to adhere overnight in a 37˚C humidified incubator (5% CO2). Media
with antibiotics were washed out prior to infection with Mtb.
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Cell sorting and flow cytometry
Fc receptors were blocked with anti-CD16/32 (2.4G2, BD Pharmingen). Cell viability was
assessed using Zombie Violet dye (Biolegend). Cells were suspended in 1X PBS (pH 7.4) con-
taining 0.01% NaN3 and 1% fetal bovine serum (i.e., FACS buffer). Surface staining, performed
at 4 degrees for 20 minutes, included antibodies specific for murine: Siglec F (E50-2440, BD
Pharmingen), CD11b (M1/70), CD64 (X54-5/7.1), CD45 (104), CD3 (17A2, eBiosciences),
CD19 (1D3, eBiosciences), CD11c (N418), I-A/I-E (M5/114.15.2), Ly6G (1A8), Ly6C (HK1.4),
TNF (MP6-XT22). For ICS, Brefeldin A was added for duration of LPS stimulation. Cyto-Fast
Fix/Perm and Cyto-Fast Perm Wash reagents were used for intracellular staining. Reagents are
from Biolegend unless otherwise noted. MHC class II tetramers ESAT-6 (I-A(b) 4–17,
sequence: QQWNFAGIEAAASA) and MHC class I tetramers TB10.4 (H-2K(b) 4–11,
sequence: IMYNYPAM) were obtained from the National Institutes of Health Tetramer Core
Facility. Cell sorting was performed on a FACS Aria (BD Biosciences). Sorted cells were col-
lected in complete media, spun down, resuspended in TRIzol, and frozen at -80˚C overnight
prior to RNA isolation. Samples for flow cytometry were fixed in 2% paraformaldehyde solu-
tion in PBS and analyzed using a LSRII flow cytometer (BD Biosciences) and FlowJo software
(Tree Star, Inc.).
Bulk RNA-sequencing and analysis
All high dose infections and sorting for bulk RNA-sequencing of Mtb-infected AMs (control,
scBCG, and coMtb) were performed in the ABSL-3 facility at Seattle Children’s Research Insti-
tute. All infections used the same Mtb strain, mEmerald-H37Rv, and the TRIzol-based RNA
isolation protocol was performed by the same individual (D.M.). RNA isolation was performed
using TRIzol (Invitrogen), two sequential chloroform extractions, Glycoblue carrier (Thermo
Fisher), isopropanol precipitation, and washes with 75% ethanol. RNA was quantified with the
Bioanalyzer RNA 6000 Pico Kit (Agilent). cDNA libraries were constructed using the SMAR-
Ter Stranded Total RNA-Seq Kit (v2)–Pico Input Mammalian (Clontech) following the manu-
facturer’s instructions. Libraries were amplified and then sequenced on an Illumina NextSeq
(2 x 76, paired-end (sorted BAL cells) or 2 x 151, paired-end (ex vivo stimulation samples)).
Stranded paired-end reads were preprocessed: The first three nucleotides of R2 were removed
as described in the SMARTer Stranded Total RNA-Seq Kit–Pico Input Mammalian User Man-
ual (v2: 063017) and read ends consisting of more than 66% of the same nucleotide were
removed). The remaining read pairs were aligned to the mouse genome (mm10) + Mtb
H37Rv genome using the gsnap aligner [63] (v. 2018-07-04) allowing for novel splicing. Con-
cordantly mapping read pairs (~20 million / sample) that aligned uniquely were assigned to
exons using the iocond program and gene definitions from Ensembl Mus_Musculus
GRCm38.78 coding and non-coding genes. Genes with low expression were filtered using the
“filterByExpr” function in the edgeR package [64]. Differential expression was calculated using
the “edgeR” package [64] from ioconductor.org. False discovery rate was computed with the
Benjamini-Hochberg algorithm. Hierarchical clusterings were performed in R using ‘Tsclust’
and ‘hclust’ libraries. Heat map and scatterplot visualizations were generated in R using the
‘heatmap.2’ and ‘ggplot2’ libraries, respectively.
Gene Set Enrichment Analysis (GSEA)
Input data for GSEA consisted of lists, ranked by -log(p-value), comparing RNAseq expression
measures of target samples and naïve controls including directionality of fold-change. Mouse
orthologs of human Hallmark genes were defined using a list provided by Molecular Signa-
tures Database (MsigDB) [65]. GSEA software was used to calculate enrichment of ranked lists
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PLOS PATHOGENSAlveolar macrophage remodeling by Mycobacterium
in each of the respective hallmark gene lists, as described previously [66]. A nominal p-value
for each ES is calculated based on the null distribution of 1,000 random permutations. To cor-
rect for multiple hypothesis testing, a normalized enrichment score (NES) is calculated that
corrects the ES based on the null distribution. A false-discovery rate (FDR) is calculated for
each NES. Leading edge subsets are defined as the genes in a particular gene set that are part of
the ranked list at or before the running sum reaches its maximum value.
Ingenuity Pathway Analysis (IPA)
IPA (QIAGEN) was used to identify enriched pathways for differentially expressed genes
between naïve and Mtb-infected AMs (cut-off values: FDR < 0.01, |FC| > 2). The top 20
canonical pathways with enrichment score p-value < 0.05 with greater than 10 gene members
are reported.
Single cell RNA-sequencing
BAL from 10 mice per condition was pooled for each sample, with two independent replicates
per condition. Samples were prepared for methanol fixation following protocol “CG000136
Rev. D” from 10X Genomics [67]. Briefly, samples were filtered with 70 μm filters and red
blood cells were lysed with ACK lysis buffer. Samples were resuspended in 1 mL ice-cold
DPBS using a wide-bore tip and transferred to a 1.5 mL low-bind Eppendorf tube. Samples
were centrifuged at 700 × g for 5 minutes at 4˚C. Supernatant was carefully removed with a
p1000 pipette, and the cell pellet was washed two more times with DPBS, counted, and resus-
pended in 200 μL ice-cold DPBS/1 × 106 cells. 800 μL of ice-cold methanol was added drop-
wise for a final concentration of 80% methanol. Samples were incubated at -20˚C for 30 min-
utes and then stored at -80˚C for up to 6 weeks prior to rehydration. For rehydration, frozen
samples were equilibrated to 4˚C, centrifuged at 1,000 × g for 10 minutes at 4˚C, and resus-
pended in 50 μL of Wash-Resuspension Buffer (0.04% BSA + 1mM DTT + 0.2U/μL Protector
RNAase Inhibitor in 3× SSC buffer) to achieve ~1,000 cells/μL (assuming 75% sample loss).
Single cell RNA-sequencing analysis
Libraries were prepared using the Next GEM Single Cell 30 Reagent Kits v3.1 (Dual Index)
(10X Genomics) following the manufacturer’s instructions. Raw sequencing data were aligned
to the mouse genome (mm10) and UMI counts determined using the Cell Ranger pipeline
(10X Genomics). Data processing, integration, and analysis was performed with Seurat v.3
[68]. Droplets containing less than 200 detected genes, more than 4000 detected genes (doublet
discrimination), or more than 5% mitochondrial were discarded. Genes expressed by less than
3 cells across all samples were removed. Unbiased annotation of clusters using the Immgen
database [69] as a reference was performed with “SingleR” package [70]. Pseudotime analysis
was performed using the “SeuratWrappers” and “Monocle3” R packages [71]. Data visualiza-
tion was performed with the “Seurat”, “tidyverse”, “cowplot”, and “viridis” R packages.
Alveolar macrophage Ex Vivo stimulation
AMs were isolated by bronchoalveolar lavage and pooled from 5 mice per group. Cells were
plated at a density of 5 x 104 cells/well (96-well plate) in complete RPMI (RPMI plus FBS (10%,
VWR), L-glutamine (2mM, Invitrogen), and Penicillin-Streptomycin (100 U/ml; Invitrogen)
and allowed to adhere overnight in a 37˚C humidified incubator (5% CO2). Media with antibi-
otics and non-adherent cells were washed out prior to stimulation. AM were stimulated with
LPS (LPS from Salmonella Minnesota, List Biologicals, #R595, 10 ng/ml), Pam3Cys
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PLOS PATHOGENSAlveolar macrophage remodeling by Mycobacterium
(Pam3CSK4, EMC Microcollections, GmbH, 10 ng/ml), or H37Rv (effective MOI ~2:1).
H37Rv was prepared by culturing from frozen stock in 7H9 media at 37˚C for 48 hours to O.
D. of 0.1–0.3. The final concentration was calculated based on strain titer and bacteria was
added to macrophages for two hours. Cultures were then washed three times to remove extra-
cellular bacteria. Cell cultures were washed once in PBS after 6 hours to remove dead cells and
collected in TRIzol for RNA isolation via chloroform/isopropanol extraction or collected after
20 hours for flow cytometry and ICS.
Filtering for IFN dependent and independent gene sets
“IFN dependent” and “IFN independent” gene sets were generated from data from Olson et al
[38], using the following filters starting from a total of 1,233 genes up-regulated in H37Rv-
stimulated WT BMDM with average CPM >1, log2 fold change > 1 and FDR < 0.01:
“IFN dependent” = H37Rv-stimulated IFNAR-/- BMDM: log2 fold change < 1 AND
H37Rv-stimulated WT vs IFNAR-/-: log2 fold change > 2 = 339 genes
“IFN independent” = H37Rv-stimulated IFNAR-/- BMDM: log2 fold change > 1,
FDR < 0.01 AND H37Rv-stimulated WT vs IFNAR-/-: log2 fold change < 2 = 352 genes
qRT-PCR
Quantitative PCR reactions were carried out using TaqMan primer probes (ABI) and TaqMan
Fast Universal PCR Master Mix (ThermoFisher) in a CFX384 Touch Real-Time PCR Detec-
tion System (BioRad). Data were normalized by the level of Ef1a expression in individual
samples.
Statistical analyses
RNA-sequencing was analyzed using the edgeR package from Bioconductor.org and the false
discovery rate was computed using the Benjamini-Hochberg algorithm. All other data are pre-
sented as mean ± SEM and analyzed by one-way ANOVA (95% confidence interval) with
Tukey post-test (for comparison of multiple conditions). Statistical analysis and graphical
representation of data was performed using either GraphPad Prism v6.0 software or R. PCA
plots generated using “Prcomp” and “Biplot” packages. Venn diagrams and gene set intersec-
tion analysis was performed using Intervene [72]. p-values, * p < 0.05, ** p < 0.01, ***
p < 0.001.
Supporting information
S1 Fig. (related to Fig 1). Flow cytometry gating schemes. Gating strategies for myeloid (A)
and T cell (B) analysis.
(TIF)
S2 Fig. (related to Fig 1). Mycobacterium exposure provides protection against standard
low-dose H37Rv aerosol challenge. A) Lung, spleen, and lung-draining lymph node (LN)
CFU in control mice at deposition, days 10, 12, 14, and 28. B-E) Summary plots of ΔCFU (log)
in lung, spleen, and LN following low-dose infection with H37Rv at day 10 (B), day 12 (C), day
14 (D), and day 28 (E). *p < 0.05, **p < 0.01, ***p < 0.001. One-way ANOVA with Tukey
post-test. Data compiled from 2–3 independent experiments per condition, with 5 mice per
group for each experiment.
(TIF)
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PLOS PATHOGENSAlveolar macrophage remodeling by Mycobacterium
S3 Fig. (related to Fig 2). Top 20 Canonical Pathways by Ingenuity Pathway Analysis for
up-regulated genes by Mtb-infected alveolar macrophages. IPA analysis for Mtb-infected
AMs from control, scBCG, and coMtb mice 24 hours following high dose mEmerald-H37Rv
infection. Data representative of 3 independent experiments per condition.
(TIF)
S4 Fig. (related to Fig 2). Transcriptional changes to naive alveolar macrophages following
Mycobacterium exposure by bulk RNA-sequencing. Bulk RNA-seq profiles of naive AMs
(isolated alongside Mtb-infected AMs). Gene expression changes within naïve AMs are com-
pared to AMs from control mice: naïve scBCG AM vs naïve control AM; naïve coMtb AM vs
naïve control AM. A-B) Volcano plots depicting changes in baseline gene expression of naive
AMs from scBCG (A) and coMtb(B) mice compared to naive AMs from control mice. Signifi-
cantly changed genes (FDR < 0.05, |FC| > 2) highlighted and labeled. C) Gene expression for
innate receptors and adaptors of interest, log2 fold change, unstimulated AMs from scBCG
and coMtb mice compared to unstimulated AMs from control mice. * FDR < 0.01. Compiled
from 2 independent experiments for each condition.
(TIF)
S5 Fig. (related to Fig 3). Flow analysis of BAL samples prepared for 10X single-cell RNA-
sequencing. Percentage of each population (AM, lymphocytes, eosinophils, MDM, other
CD45+) out of CD45+ ZV-. AM = Siglec F+ CD64+, Eosinophils = Siglec F+ CD64-,
lymphocytes = CD3/CD19+, MDM = Siglec F- CD64+, other CD45+ = CD3- CD19- Siglec F-
CD64-. Note: One of the two coMtb samples analyzed by flow cytometry did not have an
accompanying 10X sample. The second coMtb 10X sample was processed separately without
flow analysis.
(TIF)
S6 Fig. (related to Fig 3). Top 10 genes differentially expressed for each of 11 macrophage
subclusters. Heatmap of genes that are most differentially expressed for each of 11 clusters
with all other clusters. Genes filtered with log fold change threshold of > 0.25 and minimum
percentage expression of 25% of cells. All genes but one (Gsto1) had an adjusted p-value
of < 1.0x10-5. *Five genes (Fabp4, Fabp5, Stmn1, Mki67, Cbr2) met this criterion for more
than one cluster, grouped with the more abundant cluster. Data is compiled from two inde-
pendent experiments, 3 conditions each, for a total of 6 samples.
(TIF)
S7 Fig. (related to Fig 3). UMAP gene expression plots for genes associated with macro-
phage subcluster 3 and found in AM_2 (Pisu et al) (31). Genes associated with mitochon-
drial oxidative phosphorylation (mt-Co1, mt-Cytb, mt-Nd2), chromatin remodeling (Ankrd11,
Baz1a), macrophage-associated transcription factors (Cebpb, Zeb2, Bhlhe40, Hif1a), and
CARD9 signaling (Malt1, Bcl10). Data is compiled from two independent experiments with 3
conditions each, for a total of 6 samples.
(TIF)
S8 Fig. (related to Fig 3). Frequency and gene expression of Cluster 6 macrophages across
exposure conditions. A) Single-cell RNA-sequencing from BAL samples from control,
scBCG, and coMtb mice. Subcluster of macrophages with each cluster annotated. Relative fre-
quency of Cluster 6 for each replicate. B) Differentially expressed genes within Cluster 6
between control vs scBCG vs coMtb samples. Wilcoxon Rank Sum Test, Bonferroni adjusted
p-value, ***adj-p < 0.001.
(TIF)
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PLOS PATHOGENSAlveolar macrophage remodeling by Mycobacterium
S9 Fig. (related to Fig 3). IV BCG vaccination leads to similar remodeling of alveolar mac-
rophages as SC BCG vaccination. A-B) Bulk RNA-seq gene expression analysis between
naive and Mtb-infected AMs 24 hours following high-dose mEmerald-H37Rv infection in
mice previously exposed to scBCG, ivBCG, and coMtb, compared to controls. (controls-
reported in Rothchild et al, 2019(10); CMTB- reported in Nemeth et al, 2020(25)). A) Principal
Component Analysis using DEG (fold change > |2|, FDR < 0.05) in Mtb-infected AMs at 24
hours. B) Heatmap of 131 DEG at 24 hours in Mtb-infected AM (left), Interferon Stimulated
Genes, derived from macrophage response to IFNα (fold change >2, p-value < 0.01) Mosta-
favi et al, 2016 (30)(middle), IL6 JAK STAT3 hallmark pathway (right). C) Relative frequency
of 3 key clusters for macrophage subset from control, scBCG, ivBCG, and coMtb scRNAseq
BAL samples. (A-B) Compiled from 3+ independent experiments per condition for control, 2
independent experiments per condition for scBCG, ivBCG, and coMtb. (C) Data is compiled
from two independent experiments (circle, triangle) with 3 conditions each for a total of 6
samples.
(TIF)
S10 Fig. (related to Fig 4). UMAP gene expression plots of cluster and lineage marker
genes of interest for T cell subclusters. Data is compiled from two independent experiments
with 3 conditions each for a total of 6 samples.
(TIF)
S11 Fig. (related to Fig 5). Gene expression of alveolar macrophages from ex vivo stimula-
tions. A) Gene expression changes measured by bulk RNA-seq for stimulated AMs compared
to respective unstimulated AMs (i.e., LPS-stim control AM vs unstim control AM; LPS-stim
scBCG AM vs unstim scBCG AM; LPS-stim coMtb AM vs unstim coMtb AM). AMs were
stimulated for 6 hours with Pam3Cys (10 ng/ml), LPS (10 ng/ml), or H37Rv (effective MOI
~2:1). Volcano plots depict fold change (log2) and P-value (-log10) for each stimulation condi-
tion for each of the three groups (control scBCG, coMtb) compared to the respective unstimu-
lated controls. DEG (p-value < 0.001; |fold change| > 2) highlighted and labeled, space
permitting. B) Baseline gene expression for innate receptors and adaptors of interest from
scBCG and coMtb AM compared to control AM, log2 fold change, unstim scBCG AM vs
unstim control AM; unstim coMtb AM vs unstim control AM. Compiled from 3 independent
experiments.
(TIF)
S12 Fig. (related to Fig 5). Cell-intrinsic changes in alveolar macrophage response is
retained 23 weeks following vaccination. Gene expression of Mx1, Cxcl10, Il1b, Cxcl2, Irf7,
and Il6 as measured by qPCR in AMs isolated by BAL from mice 8 and 23 weeks following
scBCG vaccination and from age-matched controls, with and without LPS (10 ng/ml) stimula-
tion. Data is representative of technical AM duplicates from a single experiment.
(TIF)
S1 Table. RNA-Sequencing data for alveolar macrophages 24 hours following high dose
H37Rv-mEmerald challenge from scBCG mice.
(XLSX)
S2 Table. Top differentially expressed genes for individual clusters for macrophage, T cell,
and dendritic cell sub-cluster analysis.
(XLSX)
S3 Table. RNA-Sequencing data for ex vivo stimulated alveolar macrophages.
(XLSX)
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PLOS PATHOGENSAlveolar macrophage remodeling by Mycobacterium
S4 Table. IFN-independent and IFN-dependent genes based on WT and IFNAR-/- BMDM
RNA-seq data.
(XLSX)
Acknowledgments
We thank the Animal Care staff at Seattle Children’s Research Institute and University of Mas-
sachusetts Amherst, Pamela Troisch and the Next Gen Sequencing core at the Institute for Sys-
tems Biology. The authors acknowledge Research Scientific Computing at Seattle Children’s
Research Institute for providing HPC resources that have contributed to the research results
reported within this paper. We thank members of the Aderem, Urdahl, and Rothchild labs for
helpful discussions.
Author Contributions
Conceptualization: Dat Mai, Johannes Nemeth, Kevin Urdahl, Alan H. Diercks, Alan
Aderem, Alissa C. Rothchild.
Data curation: Michael Morikubo, Alan H. Diercks, Alissa C. Rothchild.
Formal analysis: Dat Mai, Michael Morikubo, Alan H. Diercks, Alissa C. Rothchild.
Funding acquisition: Kevin Urdahl, Alan H. Diercks, Alan Aderem, Alissa C. Rothchild.
Investigation: Dat Mai, Ana Jahn, Tara Murray, Pamelia N. Lim, Maritza M. Cervantes, Linh
K. Pham, Alissa C. Rothchild.
Supervision: Alan H. Diercks, Alan Aderem, Alissa C. Rothchild.
Validation: Dat Mai, Alissa C. Rothchild.
Writing – original draft: Alan H. Diercks, Alissa C. Rothchild.
Writing – review & editing: Dat Mai, Pamelia N. Lim, Linh K. Pham, Alan H. Diercks, Alissa
C. Rothchild.
References
1. World Health Organization. Global tuberculosis report 2021. Geneva. Licence: CC BY-NC-SA 3.0
IGO. 2022.
2. Dheda K, Perumal T, Moultrie H, Perumal R, Esmail A, Scott AJ, et al. The intersecting pandemics of
tuberculosis and COVID-19: population-level and patient-level impact, clinical presentation, and correc-
tive interventions. Lancet Respir Med. 2022. https://doi.org/10.1016/S2213-2600(22)00092-3 PMID:
35338841
3. Netea MG, Dominguez-Andres J, Barreiro LB, Chavakis T, Divangahi M, Fuchs E, et al. Defining trained
immunity and its role in health and disease. Nat Rev Immunol. 2020; 20(6):375–88. https://doi.org/10.
1038/s41577-020-0285-6 PMID: 32132681
4. Sherwood ER, Burelbach KR, McBride MA, Stothers CL, Owen AM, Hernandez A, et al. Innate Immune
Memory and the Host Response to Infection. J Immunol. 2022; 208(4):785–92. https://doi.org/10.4049/
jimmunol.2101058 PMID: 35115374
5. Khader SA, Divangahi M, Hanekom W, Hill PC, Maeurer M, Makar KW, et al. Targeting innate immunity
for tuberculosis vaccination. J Clin Invest. 2019; 129(9):3482–91. https://doi.org/10.1172/JCI128877
PMID: 31478909
6. Hoyer FF, Naxerova K, Schloss MJ, Hulsmans M, Nair AV, Dutta P, et al. Tissue-Specific Macrophage
Responses to Remote Injury Impact the Outcome of Subsequent Local Immune Challenge. Immunity.
2019; 51(5):899–914 e7. https://doi.org/10.1016/j.immuni.2019.10.010 PMID: 31732166
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1011871 January 18, 2024
24 / 28
PLOS PATHOGENSAlveolar macrophage remodeling by Mycobacterium
7. Aegerter H, Kulikauskaite J, Crotta S, Patel H, Kelly G, Hessel EM, et al. Influenza-induced monocyte-
derived alveolar macrophages confer prolonged antibacterial protection. Nat Immunol. 2020; 21
(2):145–57. https://doi.org/10.1038/s41590-019-0568-x PMID: 31932810
8. Yao Y, Jeyanathan M, Haddadi S, Barra NG, Vaseghi-Shanjani M, Damjanovic D, et al. Induction of
Autonomous Memory Alveolar Macrophages Requires T Cell Help and Is Critical to Trained Immunity.
Cell. 2018; 175(6):1634–50 e17. https://doi.org/10.1016/j.cell.2018.09.042 PMID: 30433869
9.
Zhu B, Wu Y, Huang S, Zhang R, Son YM, Li C, et al. Uncoupling of macrophage inflammation from
self-renewal modulates host recovery from respiratory viral infection. Immunity. 2021; 54(6):1200–18
e9. https://doi.org/10.1016/j.immuni.2021.04.001 PMID: 33951416
10. Rothchild AC, Olson GS, Nemeth J, Amon LM, Mai D, Gold ES, et al. Alveolar macrophages generate a
noncanonical NRF2-driven transcriptional response to Mycobacterium tuberculosis in vivo. Sci Immu-
nol. 2019; 4(37). https://doi.org/10.1126/sciimmunol.aaw6693 PMID: 31350281
11. Cohen SB, Gern BH, Delahaye JL, Adams KN, Plumlee CR, Winkler JK, et al. Alveolar Macrophages
Provide an Early Mycobacterium tuberculosis Niche and Initiate Dissemination. Cell Host Microbe.
2018; 24(3):439–46 e4. https://doi.org/10.1016/j.chom.2018.08.001 PMID: 30146391
12. Mangtani P, Abubakar I, Ariti C, Beynon R, Pimpin L, Fine PE, et al. Protection by BCG vaccine against
tuberculosis: a systematic review of randomized controlled trials. Clin Infect Dis. 2014; 58(4):470–80.
https://doi.org/10.1093/cid/cit790 PMID: 24336911
13.
14.
Trunz BB, Fine P, Dye C. Effect of BCG vaccination on childhood tuberculous meningitis and miliary
tuberculosis worldwide: a meta-analysis and assessment of cost-effectiveness. Lancet. 2006; 367
(9517):1173–80. https://doi.org/10.1016/S0140-6736(06)68507-3 PMID: 16616560
Lange C, Aaby P, Behr MA, Donald PR, Kaufmann SHE, Netea MG, et al. 100 years of Mycobacterium
bovis bacille Calmette-Guerin. Lancet Infect Dis. 2022; 22(1):e2–e12.
15. Kaufmann E, Sanz J, Dunn JL, Khan N, Mendonca LE, Pacis A, et al. BCG Educates Hematopoietic
Stem Cells to Generate Protective Innate Immunity against Tuberculosis. Cell. 2018; 172(1–2):176–90
e19. https://doi.org/10.1016/j.cell.2017.12.031 PMID: 29328912
16. Delahaye JL, Gern BH, Cohen SB, Plumlee CR, Shafiani S, Gerner MY, et al. Cutting Edge: Bacillus
Calmette-Guerin-Induced T Cells Shape Mycobacterium tuberculosis Infection before Reducing the
Bacterial Burden. J Immunol. 2019; 203(4):807–12.
17. Das S, Marin ND, Esaulova E, Ahmed M, Swain A, Rosa BA, et al. Lung Epithelial Signaling Mediates
Early Vaccine-Induced CD4(+) T Cell Activation and Mycobacterium tuberculosis Control. mBio. 2021;
12(4):e0146821. https://doi.org/10.1128/mBio.01468-21 PMID: 34253059
18. Mata E, Tarancon R, Guerrero C, Moreo E, Moreau F, Uranga S, et al. Pulmonary BCG induces lung-
resident macrophage activation and confers long-term protection against tuberculosis. Sci Immunol.
2021; 6(63):eabc2934. https://doi.org/10.1126/sciimmunol.abc2934 PMID: 34559551
19.
Jeyanathan M, Vaseghi-Shanjani M, Afkhami S, Grondin JA, Kang A, D’Agostino MR, et al. Parenteral
BCG vaccine induces lung-resident memory macrophages and trained immunity via the gut-lung axis.
Nat Immunol. 2022; 23(12):1687–702. https://doi.org/10.1038/s41590-022-01354-4 PMID: 36456739
20. Arts RJW, Moorlag S, Novakovic B, Li Y, Wang SY, Oosting M, et al. BCG Vaccination Protects against
Experimental Viral Infection in Humans through the Induction of Cytokines Associated with Trained
Immunity. Cell Host Microbe. 2018; 23(1):89–100 e5. https://doi.org/10.1016/j.chom.2017.12.010
PMID: 29324233
21. Kleinnijenhuis J, Quintin J, Preijers F, Joosten LA, Jacobs C, Xavier RJ, et al. BCG-induced trained
immunity in NK cells: Role for non-specific protection to infection. Clin Immunol. 2014; 155(2):213–9.
https://doi.org/10.1016/j.clim.2014.10.005 PMID: 25451159
22. Koeken V, van der Pasch ES, Leijte GP, Mourits VP, de Bree LCJ, Moorlag S, et al. The effect of BCG
vaccination on alveolar macrophages obtained from induced sputum from healthy volunteers. Cytokine.
2020; 133:155135. https://doi.org/10.1016/j.cyto.2020.155135 PMID: 32534356
23. Soto JA, Galvez NMS, Andrade CA, Ramirez MA, Riedel CA, Kalergis AM, et al. BCG vaccination
induces cross-protective immunity against pathogenic microorganisms. Trends Immunol. 2022; 43
(4):322–35. https://doi.org/10.1016/j.it.2021.12.006 PMID: 35074254
24. Kupz A, Zedler U, Staber M, Kaufmann SH. A Mouse Model of Latent Tuberculosis Infection to Study
Intervention Strategies to Prevent Reactivation. PLoS One. 2016; 11(7):e0158849. https://doi.org/10.
1371/journal.pone.0158849 PMID: 27391012
25. Nemeth J, Olson GS, Rothchild AC, Jahn AN, Mai D, Duffy FJ, et al. Contained Mycobacterium tubercu-
losis infection induces concomitant and heterologous protection. PLoS Pathog. 2020; 16(7):e1008655.
https://doi.org/10.1371/journal.ppat.1008655 PMID: 32673357
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1011871 January 18, 2024
25 / 28
PLOS PATHOGENSAlveolar macrophage remodeling by Mycobacterium
26. Cadena AM, Hopkins FF, Maiello P, Carey AF, Wong EA, Martin CJ, et al. Concurrent infection with
Mycobacterium tuberculosis confers robust protection against secondary infection in macaques. PLoS
Pathog. 2018; 14(10):e1007305. https://doi.org/10.1371/journal.ppat.1007305 PMID: 30312351
27. Andrews JR, Noubary F, Walensky RP, Cerda R, Losina E, Horsburgh CR. Risk of progression to active
tuberculosis following reinfection with Mycobacterium tuberculosis. Clin Infect Dis. 2012; 54(6):784–91.
https://doi.org/10.1093/cid/cir951 PMID: 22267721
28. Wolf AJ, Linas B, Trevejo-Nunez GJ, Kincaid E, Tamura T, Takatsu K, et al. Mycobacterium tuberculo-
sis infects dendritic cells with high frequency and impairs their function in vivo. J Immunol. 2007; 179
(4):2509–19. https://doi.org/10.4049/jimmunol.179.4.2509 PMID: 17675513
29. Mollenkopf HJ, Kursar M, Kaufmann SH. Immune response to postprimary tuberculosis in mice: Myco-
bacterium tuberculosis and Miycobacterium bovis bacille Calmette-Guerin induce equal protection. J
Infect Dis. 2004; 190(3):588–97.
30. Mostafavi S, Yoshida H, Moodley D, LeBoite H, Rothamel K, Raj T, et al. Parsing the Interferon Tran-
scriptional Network and Its Disease Associations. Cell. 2016; 164(3):564–78. https://doi.org/10.1016/j.
cell.2015.12.032 PMID: 26824662
31. Pisu D, Huang L, Narang V, Theriault M, Le-Bury G, Lee B, et al. Single cell analysis of M. tuberculosis
phenotype and macrophage lineages in the infected lung. J Exp Med. 2021; 218(9). https://doi.org/10.
1084/jem.20210615 PMID: 34292313
32.
Travaglini KJ, Nabhan AN, Penland L, Sinha R, Gillich A, Sit RV, et al. A molecular cell atlas of the
human lung from single-cell RNA sequencing. Nature. 2020; 587(7835):619–25. https://doi.org/10.
1038/s41586-020-2922-4 PMID: 33208946
33. Scott CL, T’Jonck W, Martens L, Todorov H, Sichien D, Soen B, et al. The Transcription Factor ZEB2 Is
Required to Maintain the Tissue-Specific Identities of Macrophages. Immunity. 2018; 49(2):312–25 e5.
https://doi.org/10.1016/j.immuni.2018.07.004 PMID: 30076102
34. Cain DW, O’Koren EG, Kan MJ, Womble M, Sempowski GD, Hopper K, et al. Identification of a tissue-
specific, C/EBPbeta-dependent pathway of differentiation for murine peritoneal macrophages. J Immu-
nol. 2013; 191(9):4665–75.
35. Ciofani M, Madar A, Galan C, Sellars M, Mace K, Pauli F, et al. A validated regulatory network for Th17
cell specification. Cell. 2012; 151(2):289–303. https://doi.org/10.1016/j.cell.2012.09.016 PMID:
23021777
36. Edwards SC, Hedley A, Hoevenaar WHM, Glauner T, R W, Kilbey A, et al. Single-cell analysis uncovers
1 differential regulation of lung γδ T cell subsets by the co-inhibitory molecules, PD-1 and TIM-3. bioR-
xiv. 2021;2021.07.04.451035;.
37. Guilliams M, De Kleer I, Henri S, Post S, Vanhoutte L, De Prijck S, et al. Alveolar macrophages develop
from fetal monocytes that differentiate into long-lived cells in the first week of life via GM-CSF. J Exp
Med. 2013; 210(10):1977–92. https://doi.org/10.1084/jem.20131199 PMID: 24043763
38. Olson GS, Murray TA, Jahn AN, Mai D, Diercks AH, Gold ES, et al. Type I interferon decreases macro-
phage energy metabolism during mycobacterial infection. Cell Rep. 2021; 35(9):109195. https://doi.org/
10.1016/j.celrep.2021.109195 PMID: 34077724
39. Huang L, Nazarova EV, Tan S, Liu Y, Russell DG. Growth of Mycobacterium tuberculosis in vivo segre-
gates with host macrophage metabolism and ontogeny. J Exp Med. 2018; 215(4):1135–52. https://doi.
org/10.1084/jem.20172020 PMID: 29500179
40. Griffiths KL, Ahmed M, Das S, Gopal R, Horne W, Connell TD, et al. Targeting dendritic cells to acceler-
ate T-cell activation overcomes a bottleneck in tuberculosis vaccine efficacy. Nat Commun. 2016;
7:13894. https://doi.org/10.1038/ncomms13894 PMID: 28004802
41.
Lim PN, Cervantes MM, Pham LK, Rothchild AC. Alveolar macrophages: novel therapeutic targets for
respiratory diseases. Expert Rev Mol Med. 2021; 23:e18. https://doi.org/10.1017/erm.2021.21 PMID:
34823627
42. Correa-Macedo W, Fava VM, Orlova M, Cassart P, Olivenstein R, Sanz J, et al. Alveolar macrophages
from persons living with HIV show impaired epigenetic response to Mycobacterium tuberculosis. J Clin
Invest. 2021; 131(22). https://doi.org/10.1172/JCI148013 PMID: 34473646
43. Verma AK, Bansal S, Bauer C, Muralidharan A, Sun K. Influenza Infection Induces Alveolar Macro-
phage Dysfunction and Thereby Enables Noninvasive Streptococcus pneumoniae to Cause Deadly
Pneumonia. J Immunol. 2020; 205(6):1601–7. https://doi.org/10.4049/jimmunol.2000094 PMID:
32796026
44. D’Agostino MR, Lai R, Afkhami S, Khera A, Yao Y, Vaseghi-Shanjani M, et al. Airway Macrophages
Mediate Mucosal Vaccine-Induced Trained Innate Immunity against Mycobacterium tuberculosis in
Early Stages of Infection. J Immunol. 2020; 205(10):2750–62. https://doi.org/10.4049/jimmunol.
2000532 PMID: 32998983
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1011871 January 18, 2024
26 / 28
PLOS PATHOGENSAlveolar macrophage remodeling by Mycobacterium
45. Gu H, Zeng X, Peng L, Xiang C, Zhou Y, Zhang X, et al. Vaccination induces rapid protection against
bacterial pneumonia via training alveolar macrophage in mice. Elife. 2021; 10. https://doi.org/10.7554/
eLife.69951 PMID: 34544549
46. Peters JM, Irvine EB, Rosenberg JM, Wadsworth MH, Hughes TK, Sutton M, et al. Protective intrave-
nous BCG vaccination induces enhanced immune signaling in the airways. bioRxiv. 2023.
47. Khan N, Downey J, Sanz J, Kaufmann E, Blankenhaus B, Pacis A, et al. M. tuberculosis Reprograms
Hematopoietic Stem Cells to Limit Myelopoiesis and Impair Trained Immunity. Cell. 2020; 183(3):752–
70 e22.
48. Grant RA, Morales-Nebreda L, Markov NS, Swaminathan S, Querrey M, Guzman ER, et al. Circuits
between infected macrophages and T cells in SARS-CoV-2 pneumonia. Nature. 2021; 590(7847):635–
41. https://doi.org/10.1038/s41586-020-03148-w PMID: 33429418
49. Berry MP, Graham CM, McNab FW, Xu Z, Bloch SA, Oni T, et al. An interferon-inducible neutrophil-
driven blood transcriptional signature in human tuberculosis. Nature. 2010; 466(7309):973–7. https://
doi.org/10.1038/nature09247 PMID: 20725040
50.
Zak DE, Penn-Nicholson A, Scriba TJ, Thompson E, Suliman S, Amon LM, et al. A blood RNA signature
for tuberculosis disease risk: a prospective cohort study. Lancet. 2016; 387(10035):2312–22. https://
doi.org/10.1016/S0140-6736(15)01316-1 PMID: 27017310
51. Esaulova E, Das S, Singh DK, Choreno-Parra JA, Swain A, Arthur L, et al. The immune landscape in
tuberculosis reveals populations linked to disease and latency. Cell Host Microbe. 2021; 29(2):165–78
e8. https://doi.org/10.1016/j.chom.2020.11.013 PMID: 33340449
52. Antonelli LR, Gigliotti Rothfuchs A, Goncalves R, Roffe E, Cheever AW, Bafica A, et al. Intranasal Poly-
IC treatment exacerbates tuberculosis in mice through the pulmonary recruitment of a pathogen-per-
missive monocyte/macrophage population. J Clin Invest. 2010; 120(5):1674–82. https://doi.org/10.
1172/JCI40817 PMID: 20389020
53. Redford PS, Mayer-Barber KD, McNab FW, Stavropoulos E, Wack A, Sher A, et al. Influenza A virus
impairs control of Mycobacterium tuberculosis coinfection through a type I interferon receptor-depen-
dent pathway. J Infect Dis. 2014; 209(2):270–4. https://doi.org/10.1093/infdis/jit424 PMID: 23935205
54. Mayer-Barber KD, Andrade BB, Barber DL, Hieny S, Feng CG, Caspar P, et al. Innate and adaptive
interferons suppress IL-1alpha and IL-1beta production by distinct pulmonary myeloid subsets during
Mycobacterium tuberculosis infection. Immunity. 2011; 35(6):1023–34.
55.
56.
57.
58.
Zhang B, Moorlag SJ, Dominguez-Andres J, Bulut O, Kilic G, Liu Z, et al. Single-cell RNA sequencing
reveals induction of distinct trained-immunity programs in human monocytes. J Clin Invest. 2022; 132
(7). https://doi.org/10.1172/JCI147719 PMID: 35133977
Lipscomb MF, Lyons CR, Nunez G, Ball EJ, Stastny P, Vial W, et al. Human alveolar macrophages:
HLA-DR-positive macrophages that are poor stimulators of a primary mixed leukocyte reaction. J Immu-
nol. 1986; 136(2):497–504. PMID: 2934472
Lyons CR, Ball EJ, Toews GB, Weissler JC, Stastny P, Lipscomb MF. Inability of human alveolar mac-
rophages to stimulate resting T cells correlates with decreased antigen-specific T cell-macrophage
binding. J Immunol. 1986; 137(4):1173–80. PMID: 2426354
Toews GB, Vial WC, Dunn MM, Guzzetta P, Nunez G, Stastny P, et al. The accessory cell function of
human alveolar macrophages in specific T cell proliferation. J Immunol. 1984; 132(1):181–6. PMID:
6228577
59. Andersen P, Scriba TJ. Moving tuberculosis vaccines from theory to practice. Nat Rev Immunol. 2019;
19(9):550–62. https://doi.org/10.1038/s41577-019-0174-z PMID: 31114037
60. Srivastava S, Ernst JD. Cutting edge: Direct recognition of infected cells by CD4 T cells is required for
control of intracellular Mycobacterium tuberculosis in vivo. J Immunol. 2013; 191(3):1016–20. https://
doi.org/10.4049/jimmunol.1301236 PMID: 23817429
61. Hilligan KL, Namasivayam S, Clancy CS, O’Mard D, Oland SD, Robertson SJ, et al. Intravenous admin-
istration of BCG protects mice against lethal SARS-CoV-2 challenge. J Exp Med. 2022; 219(2). https://
doi.org/10.1084/jem.20211862 PMID: 34889942
62. Rothchild AC, Mai D, Aderem A, Diercks AH. Flow Cytometry Analysis and Fluorescence-activated Cell
Sorting of Myeloid Cells from Lung and Bronchoalveolar Lavage Samples from Mycobacterium tubercu-
losis-infected Mice. Bio Protoc. 2020; 10(10). https://doi.org/10.21769/bioprotoc.3630 PMID: 32995363
63. Wu TD, Nacu S. Fast and SNP-tolerant detection of complex variants and splicing in short reads. Bioin-
formatics. 2010; 26(7):873–81. https://doi.org/10.1093/bioinformatics/btq057 PMID: 20147302
64. Robinson MD, McCarthy DJ, Smyth GK. edgeR: a Bioconductor package for differential expression
analysis of digital gene expression data. Bioinformatics. 2010; 26(1):139–40. https://doi.org/10.1093/
bioinformatics/btp616 PMID: 19910308
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1011871 January 18, 2024
27 / 28
PLOS PATHOGENSAlveolar macrophage remodeling by Mycobacterium
65.
Liberzon A, Birger C, Thorvaldsdottir H, Ghandi M, Mesirov JP, Tamayo P. The Molecular Signatures
Database (MSigDB) hallmark gene set collection. Cell Syst. 2015; 1(6):417–25. https://doi.org/10.1016/
j.cels.2015.12.004 PMID: 26771021
66. Subramanian A, Tamayo P, Mootha VK, Mukherjee S, Ebert BL, Gillette MA, et al. Gene set enrichment
analysis: a knowledge-based approach for interpreting genome-wide expression profiles. Proc Natl
Acad Sci U S A. 2005; 102(43):15545–50. https://doi.org/10.1073/pnas.0506580102 PMID: 16199517
67. Chen J, Cheung F, Shi R, Zhou H, Lu W, Consortium CHI. PBMC fixation and processing for Chromium
single-cell RNA sequencing. J Transl Med. 2018; 16(1):198. https://doi.org/10.1186/s12967-018-1578-
4 PMID: 30016977
68. Stuart T, Butler A, Hoffman P, Hafemeister C, Papalexi E, Mauck WM 3rd, et al. Comprehensive Inte-
gration of Single-Cell Data. Cell. 2019; 177(7):1888–902 e21. https://doi.org/10.1016/j.cell.2019.05.031
PMID: 31178118
69. Heng TS, Painter MW, Immunological Genome Project C. The Immunological Genome Project: net-
works of gene expression in immune cells. Nat Immunol. 2008; 9(10):1091–4. https://doi.org/10.1038/
ni1008-1091 PMID: 18800157
70. Aran D, Looney AP, Liu L, Wu E, Fong V, Hsu A, et al. Reference-based analysis of lung single-cell
sequencing reveals a transitional profibrotic macrophage. Nat Immunol. 2019; 20(2):163–72. https://
doi.org/10.1038/s41590-018-0276-y PMID: 30643263
71. Cao J, Spielmann M, Qiu X, Huang X, Ibrahim DM, Hill AJ, et al. The single-cell transcriptional land-
scape of mammalian organogenesis. Nature. 2019; 566(7745):496–502. https://doi.org/10.1038/
s41586-019-0969-x PMID: 30787437
72. Khan A, Mathelier A. Intervene: a tool for intersection and visualization of multiple gene or genomic
region sets. BMC Bioinformatics. 2017; 18(1):287. https://doi.org/10.1186/s12859-017-1708-7 PMID:
28569135
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1011871 January 18, 2024
28 / 28
PLOS PATHOGENS
| null |
10.1371_journal.pcbi.1011196.pdf
|
Data Availability Statement: Data can be found in
the following doi: https://doi.org/10.6084/m9.
figshare.21938651.v1.
|
Data can be found in the following 10.6084/m9. figshare.21938651.v1 .
|
RESEARCH ARTICLE
Dynamic recycling of extracellular ATP in
human epithelial intestinal cells
Nicolas Andres SaffiotiID
Virginia Gentilini5,6, Gabriel Eduardo Gondolesi5,6, Pablo Julio Schwarzbaum1,2*,
Julieta SchachterID
1,2,3, Cora Lilia Alvarez1,4, Zaher Bazzi1,2, Marı´a
1,2*
a1111111111
a1111111111
a1111111111
a1111111111
a1111111111
OPEN ACCESS
Citation: Saffioti NA, Alvarez CL, Bazzi Z, Gentilini
MV, Gondolesi GE, Schwarzbaum PJ, et al. (2023)
Dynamic recycling of extracellular ATP in human
epithelial intestinal cells. PLoS Comput Biol 19(6):
e1011196. https://doi.org/10.1371/journal.
pcbi.1011196
Editor: Melissa L. Kemp, Georgia Institute of
Technology and Emory University, UNITED
STATES
Received: January 25, 2023
Accepted: May 17, 2023
Published: June 29, 2023
Copyright: © 2023 Saffioti et al. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
Data Availability Statement: Data can be found in
the following doi: https://doi.org/10.6084/m9.
figshare.21938651.v1.
Funding: Grants from Secretarı´a de Ciencia y
Te´cnica, Universidad de Buenos Aires (PJS,
UBACYT 20020170100152BA), Consejo Nacional
de Investigaciones Cientı´ficas y Te´cnicas (PJS,
CONICET PIP 1013) and Agencia Nacional de
Promocio´n Cientı´fica y Tecnolo´gica (NAS, PICT-
2019 03218; JS, PICT 2019-0204; PJS, PICT 2021-
1 Instituto de Quı´mica y Fı´sico-Quı´mica Biolo´ gicas “Prof. Alejandro C. Paladini”, Universidad de Buenos
Aires (UBA), Consejo Nacional de Investigaciones Cientı´ficas y Te´cnicas (CONICET), Facultad de Farmacia
y Bioquı´mica, Buenos Aires, Argentina, 2 Universidad de Buenos Aires (UBA), Facultad de Farmacia y
Bioquı´mica, Departamento de Quı´mica Biolo´gica, Ca´tedra de Quı´mica Biolo´ gica, Buenos Aires, Argentina,
3 Instituto de Nanosistemas, Universidad Nacional de General San Martin, Buenos Aires, Argentina,
4 Universidad de Buenos Aires (UBA), Facultad de Ciencias Exactas y Naturales, Departamento de
Biodiversidad y Biologı´a Experimental, Buenos Aires, Argentina, 5 Fundacio´n Favaloro Hospital
Universitario, Unidad de Insuficiencia, Rehabilitacio´n y Trasplante Intestinal, Buenos Aires, Argentina,
6 Instituto de Medicina Traslacional, Trasplante y Bioingenierı´a (IMETTyB, CONICET, Universidad
Favaloro), Laboratorio de Inmunologı´a asociada al Trasplante, Buenos Aires, Argentina
* pjs@qb.ffyb.uba.ar (PJS); jschachter@qb.ffyb.uba.ar (JS)
Abstract
Intestinal epithelial cells play important roles in the absorption of nutrients, secretion of elec-
trolytes and food digestion. The function of these cells is strongly influenced by purinergic
signalling activated by extracellular ATP (eATP) and other nucleotides. The activity of sev-
eral ecto-enzymes determines the dynamic regulation of eATP. In pathological contexts,
eATP may act as a danger signal controlling a variety of purinergic responses aimed at
defending the organism from pathogens present in the intestinal lumen.
In this study, we characterized the dynamics of eATP on polarized and non-polarized
Caco-2 cells. eATP was quantified by luminometry using the luciferin-luciferase reaction.
Results show that non-polarized Caco-2 cells triggered a strong but transient release of
intracellular ATP after hypotonic stimuli, leading to low micromolar eATP accumulation.
Subsequent eATP hydrolysis mainly determined eATP decay, though this effect could be
counterbalanced by eATP synthesis by ecto-kinases kinetically characterized in this study.
In polarized Caco-2 cells, eATP showed a faster turnover at the apical vs the basolateral
side.
To quantify the extent to which different processes contribute to eATP regulation, we cre-
ated a data-driven mathematical model of the metabolism of extracellular nucleotides.
Model simulations showed that eATP recycling by ecto-AK is more efficient a low micromo-
lar eADP concentrations and is favored by the low eADPase activity of Caco-2 cells. Simula-
tions also indicated that a transient eATP increase could be observed upon the addition of
non-adenine nucleotides due the high ecto-NDPK activity in these cells. Model parameters
showed that ecto-kinases are asymmetrically distributed upon polarization, with the apical
side having activity levels generally greater in comparison with the basolateral side or the
non-polarized cells.
PLOS Computational Biology | https://doi.org/10.1371/journal.pcbi.1011196 June 29, 2023
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PLOS COMPUTATIONAL BIOLOGYeATP recycling in human epithelial intestinal cells
00125). The funders had no role in the study
design, data collection and analysis, decision to
publish, or preparation of the manuscript.
Competing interests: The authors have declared
that no competing interests exist.
Finally, experiments using human intestinal epithelial cells confirmed the presence of
functional ecto-kinases promoting eATP synthesis. The adaptive value of eATP regulation
and purinergic signalling in the intestine is discussed.
Author summary
Intestinal epithelial cells play important roles in the absorption of nutrients, secretion of
electrolytes and food digestion. When intracellular ATP is released into the intestinal
milieu, either at the lumen or the internal side, the resulting extracellular ATP can act as
an alert signal to engage cell surface purinergic receptors that activate the immune defence
of the organism against pathogens.
We worked with Caco-2 and primary human intestinal cell, and our results showed
that extracellular ATP regulation is a complex network of reactions that simultaneously
consume or generate ATP in whole viable intestinal epithelial cells. In particular, we cre-
ated a mathematical model and fitted it to experimental data allowing to quantify the
degree to which intracellular ATP release and the activity of a variety of ectoenzymes con-
trol the concentration of extracellular ATP.
1. Introduction
The surface of the intestine is covered by a layer of cells that form the intestinal epithelium.
Intestinal epithelial cells play important roles in the absorption of nutrients, secretion of elec-
trolytes, digestion of food and host defence mechanisms [1,2]. The function of intestinal epi-
thelial cells is strongly influenced by extracellular nucleotides, supporting a complex signalling
network that mediates short-term functions such as secretion and motility, and long-term
functions like proliferation and apoptosis [3,4]. Among these nucleotides, extracellular ATP
(eATP) was found to be an early danger signal response to infection with enteric pathogens
that eventually promote inflammation of the gut [4,5].
An important source of eATP is the intracellular ATP (iATP) found in the cytosol and vesi-
cles of many cell types [6]. Activation of iATP release was found in subepithelial intestinal
fibroblasts, human epithelial cell lines and enteroendocrine cells in response to several stimuli,
including agents that elevate cAMP, such as forskolin and cholera toxin [7], low medium phos-
phate, hypoosmotic swelling and bacterial infection [7,8]. Currently, several mechanisms have
been postulated to mediate regulated iATP release, and these mechanisms can vary according
to the cell type and the stimuli [6]. For example, after a hypotonic shock, Schwann cells release
ATP via the anionic channel pannexin-1 [9], while the treatment with lipopolysaccharide
(LPS) induces ATP release via connexin-43 in macrophages [10]. Additionally, the vesicular
release pathway for ATP was also described, as in the case of endothelial cells under hypoxia
[11].
Extracellular ATP and other di- and tri-phosphonucleosides can activate purinergic recep-
tors 2 (P2 receptors) unevenly distributed in the small and large intestine [12]. Purinergic sig-
nalling is controlled by membrane bound ecto-nucleotidases and ecto-kinases capable of
promoting the synthesis and/or hydrolysis of eATP, and/or its conversion into other extracel-
lular nucleotides and nucleosides. For any cell type and metabolic context, a specific set of
ecto-enzymes may control the rate, amount and timing of nucleotide turnover [13].
Ecto-nucleoside triphosphate diphosphohydrolases (Ecto-NTPDases) are a family of
enzymes promoting the extracellular hydrolysis of eATP, eADP, eUTP and eUDP. One or
PLOS Computational Biology | https://doi.org/10.1371/journal.pcbi.1011196 June 29, 2023
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PLOS COMPUTATIONAL BIOLOGYeATP recycling in human epithelial intestinal cells
more members of this family are present in almost every cell. Ecto-NTPDase-1, -2, and -3,
which differ regarding the specific preferences for nucleotides, are responsible for the hydroly-
sis of nucleoside diphosphates (NDPs) and nucleoside triphosphates (NTPs) in various tissues
of the gastrointestinal tract [1]. Regarding eATP and eADP hydrolysis, ecto-NTPDase-1
hydrolyses both nucleotides at similar rates, while ecto-NTPDase-2 has a high preference for
eATP over eADP and ecto-NTPDase3 is a functional intermediate which preferably hydrolyses
eATP [14].
The intestinal cell line HT29 cells expressed functional ecto-NTPDase-2 displaying high
ecto-ATPase activity [15], while Caco-2 cells and their exosomes were reported to exhibit ecto-
NTPDases-1 and -2 at the cell membrane [16,17].
Extracellular ATP can be also metabolized by ecto-kinases, with ecto-adenylate kinase
(Ecto-AK) facilitating the reversible conversion of eADP to eATP and eAMP, and ecto-nucleo-
side diphosphate kinase (Ecto-NDPK) promoting the exchange of terminal phosphate between
extracellular NDPs and NTPs [13]. All these ecto-enzymes, if present and active, should be
able to control the concentration of eATP.
Up to now, although some ecto-enzymes have been identified in intestinal cells, no attempts
have been made to characterize the dynamic interaction of these membrane proteins on eATP
regulation of intestinal cells. In this study, we aimed to characterize iATP release and eATP
recycling by ecto-enzymes, contributing to the regulation of eATP concentration ([eATP]) in
Caco-2 cell line. The Caco-2 cells derive from colorectal adenocarcinoma and easily differenti-
ate into cells exhibiting the morphology and function of enterocytes, the absorptive cells of the
small intestine [18]. The experimental studies on eATP dynamics in polarized and non-polar-
ized Caco-2 were complemented with a mathematical model quantifying the complex relation-
ship among the different processes contributing to [eATP] regulation. Our results provide a
quantitative description of the eATP dynamics of human intestinal epithelial cells.
2. Results
In this section we show experimental results on eATP kinetics of non-polarized and polarized
Caco-2 cells. To understand the dynamics of the different processes contributing to [eATP]
regulation, a mathematical model was fitted to experimental data, and predictions were made.
Finally, for a comparative purpose, we show results of a few experiments made on epithelial
cells obtained from intestinal surgical pieces.
2.1. Non-polarized Caco-2 cells
2.1.1. eATP kinetics after hypotonic shock. The kinetics of eATP accumulation, i.e.,
eATP kinetics, results from the dynamic balance between iATP release mechanisms and the
activities of ecto-enzymes capable of degrading and/or synthetizing eATP. As a first step
towards the characterization of eATP kinetics, iATP release was triggered by exposing Caco-2
cells to hypotonic media (Fig 1A–1D). Hypotonic swelling is a stimulus that influences the
uptake of nutrients by epithelial cells [19] and represents an inducer of iATP release in most
cell types and tissues [8].
Under unstimulated conditions, [eATP] remained stable. Whereas addition of isotonic
medium triggered a slight increase of [eATP], hypotonic media (100–180 mOsm) activated a
stronger iATP release with different kinetics according to the osmotic gradient imposed (Fig
1A–1C). As shown in Fig 1D, [eATP] increased non-linearly with the magnitude of the hypo-
tonic stimulus.
The experimental [iATP] amounted to 1.81 mM. By comparing [iATP] with [eATP] along
eATP kinetics, it was possible to estimate the energy cost of iATP release. Calculations were
PLOS Computational Biology | https://doi.org/10.1371/journal.pcbi.1011196 June 29, 2023
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PLOS COMPUTATIONAL BIOLOGYeATP recycling in human epithelial intestinal cells
Fig 1. eATP kinetics of hypotonically-stimulated Caco-2 cells. The time course of [eATP] from Caco-2 cells after a
hypotonic shock was quantified by luminometry performed at room temperature. (A-C) Cells were maintained in
isotonic medium and, at the times indicated by the arrow, were exposed to isotonic medium (grey) or to hypotonic
media (blue) of 180 mOsm (A), 150 mOsm (B) and 100 mOsm (C). Results are expressed as means of [eATP] from 4, 3
and 2 independent experiments run in triplicate for the 180, 150 a 100 mOsm experiments, respectively. (D) Increases
in [eATP] from data in A-C were evaluated as ΔATP, i.e., the difference between [eATP] at 30 minutes post-stimulus
and basal [eATP]. Cells were exposed to 300 mOsm (light blue bars), 180 mOsm (blue bars), 150 mOsm (dark blue
bars) and 100 mOsm (grey bars). Bars show mean values + standard error of the mean (s.e.m) from 2 to 5 independent
experiments. Points represent the independents values for each condition.
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made for cells exposed to isotonic or 180 mOsm media, two conditions where no lysis was
detected [17]. During the isotonic shock, representing a mechanical stimulus in the absence of
osmotic gradient, [eATP] amounted to 0.33% of [iATP], while under 180 mOsm this figure
amounted to 3.6%. Thus, the energy cost of eATP production by iATP efflux was very small (see
section 4.9 for further details). No iADP release was detected in the 180 mOsm stimulus (S1 Fig).
In our previous work, we showed that ecto-nucleotidases present in Caco-2 cells catalyse
significant rates of eATP hydrolysis, leading to eADP accumulation [17]. In principle, the
resulting accumulated eADP could be used by the potential presence of ecto-kinases like ecto-
AK and ecto-NDPK, present in several cell types, to synthetize eATP. Thus, in the following
experiments the activities of ecto-AK and ecto-NDPK were assessed by quantifying eATP
kinetics under different conditions.
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Fig 2. Synthesis of eATP from eADP in Caco-2 cells. (A) The time course of [eATP] synthetized from exogenous
eADP (6–48 μM) in the extracellular medium of intact Caco-2 cells was quantified by luminometry. The cells were
incubated with the luciferin-luciferase reaction mix and the [eADP] indicated in the figure were added at the time
indicated by the arrow. Data are means of at least 3 independent experiments run in duplicate for each [eADP]. (B)
Effect of treatment with Ap5A (adenylate kinase inhibitor) on eATP synthesis from eADP in Caco-2 cells. The cells
were treated or not (w/o treatment) with 10 μM Ap5A and the [eATP] at 30 minutes was measured by luminometry
under similar conditions as experiments in (A). The bars are means ± s.e.m. from at 3–5 independent experiments run
in duplicate in the absence of Ap5A and 2 independent experiments in the presence of the inhibitor. ND means that
there was non-detected [eATP].
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2.1.2. Ecto-AK activity in Caco-2 cells. AK catalyses the following reversible reaction: 2
eADP $ eATP + eAMP and is inhibited by Ap5A [20]. Ecto-AK activity was then assessed by
following eATP synthesis when Caco-2 cells were incubated with exogenous eADP (6–48 μM).
Non-linear [eATP] increases were proportional to [eADP] (Fig 2A). At 30 minutes post-stimu-
lus, treatment with 10 μM Ap5A, which does not permeate cells, inhibited eATP synthesis by
100% (6–24 μM eADP) or by 90% (48 μM eADP) (Fig 2B), thus showing the presence of a
functional ecto-AK in Caco-2 cells membrane.
2.1.3. Ecto-NDPK activity in Caco-2 cells. NDPK catalyses the transfer of a γ–phosphate
from NTP to NDP. Thus, in the presence of eADP and a given eNTP, the following reaction:
eADP + eNTP $ eATP + eNDP leads to eATP synthesis when eADP is phosphorylated by
NDPK.
Accordingly, incubation of cells with 100 μM eCTP at different [eADP] (3–12 μM) resulted
in the rapid synthesis of eATP (Fig 3A). Maximal [eATP] values were obtained 30 minutes
after the addition of substrates (Fig 3A). The experiments were conducted in the presence of
10 μM Ap5A to rule out any contribution of ecto-AK to the observed eATP kinetics.
Addition of 5 mM eUDP, together with 100 μM eCTP and 12 μM eADP, decreased the
eATP synthesis by 91% (Fig 3B), a result compatible with high [eUDP] favouring eUDP to
eUTP conversion by ecto-NDPK, rather than eATP synthesis from eADP.
In separate experiments, addition of increasing [eUTP] (1–100 μM) without the addition of
exogenous eADP (only endogenous eADP present), resulted in a concentration-dependent
increase of [eATP] (Fig 3C). Because this increase was abolished by 5 mM eUDP (S2 Fig), we
hypothesized that eATP synthesis was due to ecto-NDPK activity using exogenous eUTP and
endogenous eADP. This is because there is a basal eADP concentration in the extracellular
media of 0.77 ± 0.47 μM eADP/mg protein (S3 Fig). A similar experiment using 100 μM
eGTP, instead of eUTP, provided qualitatively similar results (Fig 3D). Overall results showed
a functional ecto-NDPK activity capable of synthetizing eATP from different γ-phosphate
donors (eCTP, eUTP and eGTP) in the presence of endogenous and exogenous eADP.
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Fig 3. Extracellular synthesis of eATP from eADP and eCTP, eUTP and eGTP in Caco-2 cells. (A) The time course
of eATP synthesis from eCTP (100 μM) and eADP (light blue for 3 μM, blue for 6 μM and grey for 12 μM) in the
extracellular medium of Caco-2 cells was quantified by luminometry. Cells were incubated with the reaction mix and
eCTP and eADP were added at the time indicated by the arrow. Data are means of 3 to 5 independent experiments run
in duplicate for each [ADP]. (B) Production of eATP after 30 minutes exposure of Caco-2 cells to 100 μM eCTP and
12 μM eADP. Experiments were run in the presence of 5 mM eUDP (grey bar and squares) or in its absence (blue bar
and points). The [eATP] was measured under conditions similar to the experiments in (A). Results are expressed as
[eATP] in μM/mg of protein, bars are means ± s.e.m from 4 to 7 independent experiments run in duplicate. * means p-
value <0.01 in comparison with the condition without treatment. (C) and (D) The time course of eATP accumulation
in the presence of eUTP (C; grey for 100 μM, dark blue for 10 μM, blue for 1 μM) or 100 μM eGTP (D). Data are the
means from 4 independent experiments in the case of 100 μM eUTP, 3 in the case of 100 μM eGTP, and 2 independent
experiments in the case of 10 μM or 1 μM eUTP. Nucleotides were added at the time indicated by the arrow.
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2.1.4. Modelling eATP kinetics of non-polarized Caco-2 cells. Caco-2 cells regulate
eATP kinetics by iATP release, eATP synthesis by the activities of ecto-AK and ecto-NDPK (as
shown in this study), and hydrolysis by ecto-nucleotidases [17]. These processes are active
simultaneously when measuring the eATP dynamics in Caco-2 cells, except when a specific
inhibitor was added (like Ap5A in the experiments of Fig 3A and 3B). Thus, to quantify the
individual contribution of these processes to eATP kinetics, we built a mathematical model that
was then fitted to experimental data. Model parameters contain the kinetic information of each
enzyme, allowing to assess the individual contribution of ecto-enzymes to eATP dynamics.
A scheme of the model is depicted in Fig 4A. In the model, [eATP] can increase by iATP
release, by lytic and by non-lytic mechanisms. In addition, [eATP] can be modulated by the
activities of ecto-ATPases, ecto-AK and ecto-NDPK.
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Fig 4. A model of extracellular purinergic regulation in non-polarized Caco- 2 cells. (A) The scheme shows a representation of the model created to
explain the experimental results in non-polarized cells. The yellow bolt indicates that the JATP depended on the application of a hypotonic shock. ADO
means extracellular adenosine. The green star behind “eATP” indicates that this is the metabolite measured directly during experiments. (B) The plot
shows, in red, the model fitting to eATP kinetics exposed to media of different osmolarities (experimental data correspond to those shown in Fig 1A and
1C). (C) iATP efflux (JATP) predicted by the model upon the hypotonic or isotonic shocks indicated in the figure.
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The model provides functions describing each of the fluxes involved in transport and
metabolism of extracellular nucleotides (see S1 Table and section 4.13.1). Fitting the model to
the experimental eATP kinetics under the different conditions allowed to obtain the best-fit
values for the parameters of these functions (S1 Table). In that way the contributions of each
flux to eATP kinetics were quantified, and several predictions were made.
2.1.4.1. iATP release. For experiments under iso- and hypotonic media, the model found a
good fit to experimental data (continuous lines in Fig 4B), thus allowing to predict the rate of
iATP efflux (JATP) over time (Fig 4C). JATP was rapid and transient in nature, leading to a
12-fold increase of [eATP] to a maximum in less than 2 seconds under the 180 mOsm shock,
followed by rapid inactivation. The magnitude of the JATP peak depended on the osmotic gra-
dient imposed. Inactivation of JATP was observed under conditions where no lysis was detected
(isotonic and 180 mOsm media). On the other hand, a lytic flux (JL) explains the continuous
increase of [eATP] at 100 mOsm (Figs 1C and 4B).
2.1.4.2. Ecto-enzymes. Another factor shaping eATP kinetics is eATP hydrolysis by ecto-
ATPase activity. We have previously observed that, in intact non-polarized Caco-2 cells, ecto-
ATPase activity follows a linear function of micromolar [eATP] [17]. Thus, following a stimu-
lus promoting iATP release, any increase of [eATP] should be at least partially counterbal-
anced by an increase of ecto-ATPase activity.
Model predictions made at 180 mOsm show that the initial peak of [eATP] increase due to
JATP is about 8-fold higher than the rate of eATP hydrolysis, i.e., JATP was 1.2 μM iATP/min/
mg of protein (Fig 4C) and eATP hydrolysis was 0.15 μM eATP/min/mg of protein at 1.5 μM
eATP (S1 Table). Thus, during the first seconds of [eATP] increase, eATP kinetics was mainly
governed by iATP release. At later times, however, the JATP inactivated, and the ecto-ATPase
activity progressively gained importance in controlling [eATP]. This is illustrated by modelling
a change in the amount of ecto-ATPase over a wide range, showing that a 5-fold increase of
ecto-ATPase activity could lead to rapid decay of [eATP], while a 5-fold decrease would pro-
long high levels of [eATP] over the entire incubation period (Fig 5A). However, a similar pro-
cedure, i.e, increasing or decreasing 5 times the activity of ecto-AK, had no influence on the
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Fig 5. Role of ecto-AK, ecto-ATPase and ecto-ADPase activity on eATP dynamics. (A) The simulation shows the
[eATP] as a function of time upon a 180 mOsm hypotonic shock when the ecto-ATPase activity displayed its measured
value (0.1, continuous line in blue), a 5-fold increase (0.5, dashed line in grey), and a 5-fold decrease (0.02, dashed line
in light blue). The numbers in the plot indicate the kinetic constant of the activity in (μM eATP hydrolized)/(mg prot/
μM eATP/ min) units. (B) The simulation shows the [eATP] as a function of time upon a 180 mOsm shock at different
initial [eADP] concentrations: calculated pre-stimulus eADP (0.22 μM continuous line in blue), a 3.5-fold increase
(0.8 μM, dashed line in grey), and a 14-fold increase (3 μM, dashed line in light blue). (C) The simulation shows the
[eATP] as a function of time upon addition of 6 μM eADP (the corresponding experimental results are shown in Fig
2A). The plot shows the eATP kinetics under various values of the kinetic constant for ecto-ADPase, i.e, the constant
experimentally determined (0.008, continuous line in blue), a 5-fold increase (0.04, dashed line in grey), and a 12-fold
increase (0.96, dashed line in light blue). The numbers in the plot indicate the kinetic constant of the activity in (μM
eADP hydrolized)/(mg prot / μM eADP / min) units. (D) Ecto-ATPase, ecto-AK and ecto-ADPase activites as a
function of their respective substrates, [eATP] for ecto-ATPase and [eADP] for ecto-AK and ecto-ADPase. The points
show the initial velocities for eATP synthesis as a function of [eADP] by ecto-AK calculated from experimental data
shown in Fig 2A. The points are means ± s.e.m. from 3 to 5 independent experiments run in duplicate. The continuous
lines represent enzyme activities as a function of their respective substrates (see S1 Table for further details). Shadows
behind the lines in panels A, B and C represent the uncertainty of the prediction calculated as indicated in section 4.13.
Shadows behind the lines in panel D represent the interval ± the standard error of enzyme activity, calculated using the
standard error of kinetic parameters of ecto-ATPase and ecto-ADPase activities.
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[eATP] during the hypotonic shock (not shown). This can be attributed to the sigmoidal kinet-
ics of ecto-AK, whose activity is very low below 3 μM eADP, but significantly higher above
that concentration (Fig 5D). Thus, ecto-AK might influence eATP kinetics only when [eADP]
is sufficiently high. Fig 5B shows a simulation where the initial [eADP] was raised up to 3 μM.
At 3 μM eADP, eATP degradation was comparable to eATP synthesis by ecto-AK, indicating
that ecto-AK can counterbalance ecto-ATPase activity. Note that a 180 mOsm hypoosmotic
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medium does not change the activity of ecto-ATPase, ecto-ADPase, ecto-AMPase [17] or ecto-
AK [21] in comparison with isosmotic medium.
Another factor to consider is ecto-ADPase activity. We have previously shown that Caco-2
cells displays high ecto-ATPase but very low ecto-ADPase activity [17]. Nevertheless, a hypo-
thetical increase of ecto-ADPase activity could negatively modulate ecto-AK activity. For
example, an increase of 5- and 12-fold of ecto-ADPase activity would result in a 17% and 33%
decrease in the [eATP] production respectively, at 6 μM eADP (Fig 5C).
Model predictions showed above implied that the expression of ecto-AK in Caco-2 cells
may have an important role in eATP kinetics. To assess this hypothesis, we compared ecto-
ATPase, ecto-ADPase and ecto-AK activities as a function of their respective substrate’s con-
centrations, that is, [eATP] for ecto-ATPase and [eADP] for ecto-ADPase and ecto-AK (Fig
5D). In Fig 5D, symbols of ecto-AK activities represent the initial velocities for eATP synthesis
as a function of [eADP] calculated from experimental data shown in Fig 2A, and the continu-
ous line represents the fit to data of the ecto-AK function included in the model (details in S1
Table and in the work of Sheng and collaborators [22]). The ecto-ATPase and ecto-ADPase
activities are predictions made from data of our previous work [17]. Ecto-ATPase displayed
the highest rate of the three reactions. On the other hand, although at low [eADP], ecto-AK
and ecto-ADPase activities are similar and have relatively low values, the sigmoidal kinetics of
ecto-AK allows a strong activity increase as [eADP] is raised, thus reaching activity levels well
above those of ecto-ADPase activity (Fig 5D).
Finally, in the presence of non-adenosine nucleotides, the influence of ecto-NDPK on
eATP dynamics was assessed and analysed. Caco-2 cells synthetized eATP by ecto-NDPK
activity in the presence of eCTP, eUTP and eGTP as NTP donors, and exogenous and endoge-
nous eADP (Fig 3A–3D).
The model found a good fit to the experimental eATP kinetics in the presence of 100 μM
eCTP and different [eADP] (Fig 6A). Model predictions of ecto-NDPK activity at different
[eADP] agreed well with initial velocities of experimental ecto-NDPK activities shown in Fig 3A
(Fig 6B). We also studied the effect of eUTP addition without the addition of exogenous eADP
(a condition where only endogenous eADP was present, S3 Fig) on the transient rise of [eATP]
(Fig 3C, replicated in Fig 6C). To understand the role of eNTPs on ecto-NDPK activity, it is
important to recall that ecto-NTPDases of Caco-2 cells can hydrolyse non-adenine nucleotides
(S4 Fig). Model predictions show changes in ecto-NDPK and ecto-ATPase activities (Fig 6D),
and the corresponding dynamics of [eATP] and [eADP] (Fig 6E), and of [eUTP] and [eUDP]
(Fig 6F). Kinetics of eATP (Fig 6C and 6E) could be analysed in 3 stages. First, [eATP] increases
due to a high an ecto-NDPK/ecto-ATPase activities ratio in the presence of high [eUTP] and
basal [eADP] (stage 1 in Fig 6D, 6E and 6F). The resulting elevated [eATP] activates ecto-
ATPase activity, while ecto-NDPK decreases deeply because its substrates (eUTP and eADP) are
consumed by ecto-NTPase activity and by ecto-NDPK activity itself. A balance is then estab-
lished between ecto-NDPK and ecto-ATPase activities in stage 2, where [eATP] is transiently
stable. Finally in stage 3, [eUTP] continues decreasing, leading to a high ecto-ATPase/ecto-
NDPK activities ratio, causing [eATP] to decrease and [eADP] to rise again (Fig 6E).
2.2. eATP regulation in polarized Caco-2 cells
Because several reports showed differential activities of enzymes and transporters at each side
of polarized epithelia [23,24], we speculated that [eATP] regulation might be different at the
apical and basolateral sides of polarized Caco-2 monolayers.
We then used polarized Caco-2 cells to test the effect of hypotonic shock on iATP release
and resulting eATP kinetics at the apical and basolateral sides. Similarly to the procedure
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Fig 6. Role of ecto-NDPK on eATP dynamics. (A) The plot shows the experimental results of eATP dynamics in the
presence of 100 μM eCTP and various [eADP] (also shown in Fig 3A). Model fitting was applied to data and shown as
continuous red lines. (B) The plot shows the ecto-NDPK activity expressed in μM of ATP synthetized per minute per
mg of protein. The dots represent the initial velocity of ecto-NDPK (calculated from the experimental data shown in
panel A) as a function of [eADP]. Points represent the means ± s.e.m. from 3 independent experiments run in
duplicate. The continuous line represents the ecto-NDPK activity predicted by the model (details in S1 Table). (C) The
plot shows the experimental eATP dynamics in the presence of various [eUTP] (also shown in Fig 3C) and the
continuous red lines represent the model fitting. (D) The plot shows time changes of ecto-NDPK (blue line) and ecto-
ATPase (grey line) activities predicted by the model. In the plot, the zones 1 (white background), 2 (pink background)
and 3 (white background) represents the [eATP], increase, stabilization and decrease stages respectively. In (E) and (F)
the plot shows the model predictions of [eATP] and [eADP], or [eUTP] and [eUDP] respectively as a function of time
upon addition of 100 μM eUTP to non-polarized Caco-2 cells. Data is expressed in μM/mg protein, which was
calculated by dividing the [eATP] at any time by the average protein mass in the experiments (0.25 mg in average). The
shadows behind the lines in panels A, B and C represent the uncertainty of the prediction calculated as indicated in
section 4.13.
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employed for non-polarized cells, we fitted the model shown in Fig 4A to the experimental
data to understand quantitatively the mechanisms involved in [eATP] regulation in differenti-
ated monolayers of Caco-2 cells.
Experimental results show that, following a 180 mOsm hypotonic shock, [eATP] increased
at both sides of the monolayers, with qualitatively different kinetics. While at both sides the
initial rate of [eATP] increase was fast, apical eATP kinetics achieved a maximum at 1.5 min-
utes, followed by a rapid decay. This was not observed in the basolateral domain, where
[eATP] continued increasing at a progressively lower rate, and a very slow [eATP] decay was
observed only after 20 minutes (Fig 7A).
The two different eATP kinetics suggested different activities of ecto-enzymes present at
both sides of the monolayers. Therefore, we determined the activities of ecto-ATPase, ecto-AK
and ecto-NDPK.
For assessing ecto-ATPase activity, polarized Caco-2 cells were exposed to various [eATP]
(0.2–7 μM) and eATP hydrolysis was estimated by quantifying [eATP] decay rates (S5 Fig).
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Fig 7. Apical and basolateral eATP regulation in Caco-2 monolayers. (A) Effect of hypotonic shock on eATP kinetics. At the times indicated by the
arrow, cells were exposed to 180 mOsm medium on the basolateral (grey) or the apical (blue) compartments. Data are the means from 5 independent
experiments. (B) Ecto-ATPase activity measured from the eATP kinetics at different [eATP]. Data was obtained from eATP hydrolysis kinetics like the
ones shown in S5A and S5B Fig. The points in the plot represent the mean ± s.e.m. of 3 independent experiments. The dashed lines represent a linear
regression to the data allowing to obtain the ecto-ATPase kinetic constant which was 1.70 ± 0.08 and 0.36 ± 0.22 mM ATP hydrolized
mM ATP mg prot min
basolateral compartments respectively. (C) Ecto-AK activity. eATP kinetics in the presence of 12 μM eADP added to the basolateral (grey) or apical
(blue) compartments. Data are the means from 2 independent experiments. (D) Ecto-NDPK activity. eATP kinetics in the presence of 100 μM eCTP
+ 12 μM eADP added to the basolateral (grey) or the apical (blue) compartments. Experiments were run in the presence of 10 μM Ap5A (adenylate
kinase blocker). Data are the means from 3 independent experiments. (E) Ecto-AK initial velocities in polarized Caco-2 cells. Data are means + s.e.m. of
4 independent experiments. * indicates a p-value < 0.05 in comparison with the apical condition. (F) Ecto-NDPK initial velocities in polarized Caco-2
cells. Data are means ± s.e.m. of 3 independent experiments. (G) Scheme of the results interpretation showing that the increased activity of Ecto-AK,
Ecto-NDPK and Ecto-ATPase leads to a faster eATP turnover.
for the apical and
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The initial rate values of [eATP] decay were used to calculate ecto-ATPase activity at each
[eATP], so as to build a substrate curve (Fig 7B). Linear fitting to experimental data showed
that ecto-ATPase activity was 4-fold higher in the apical than in the basolateral domain.
To assess ecto-AK activity, Caco-2 cells were exposed to 12 μM eADP at the basolateral or
apical domains. In the apical domain, [eATP] increased rapidly to a maximum, followed by a
rapid decay towards pre-stimulated levels, while basolateral [eATP] increased steadily at a
lower rate (Fig 7C). Initial velocity estimations showed that ecto-AK activity was significantly
higher in the apical than in the basolateral compartment (Fig 7E).
Ecto-NDPK activity was quantified using polarized cells exposed to 100 μM eCTP plus
12 μM eADP in the basal and apical domains. Experiments were run in the presence of 10 μM
Ap5A to block ecto-AK activity. Production of eATP by ecto-NDPK was much higher than
that observed under conditions used to measure ecto-AK activity, though the domain specific
pattern of eATP kinetics was similar when assessing the two ecto-kinases, i.e., a biphasic pat-
tern in the apical domain, and a steady [eATP] increase, at a lower rate, in the basal domain
(Fig 7D). The initial velocity of ecto-NDPK was higher in the apical than in the basolateral
domain although differences were not significant (Fig 7F, p value = 0.1).
A good fitting of the model to all experimental data was achieved (red lines in Fig 7A, 7C
and 7D). The model fitting allowed to obtain the ecto-NDPK and ecto-AK maximal velocity
(Vmax) and compared them with the ones obtained from non-polarized cells (S6A and S6B Fig
and S2 Table). Results indicated that the ecto-NDPK maximal activity in the apical compart-
ment is a slightly higher than that of the non-polarized cells and significantly higher than that
of the basolateral compartment. On the other hand, the ecto-AK maximal activity is signifi-
cantly higher compared with the basolateral compartment or the non-polarized cells. Thus,
the differences between the apical and basolateral eATP dynamics can be explained by an
increase or decrease in ecto-enzymes activities.
Altogether experimental results showed significantly higher activities of the ecto-enzymes
(ecto-ATPase, ecto-AK and ecto-NPDK) in the apical, as compared to the basolateral domain
(Fig 7G).
Fig 8. Ecto-AK and ecto-NDPK activities in IECs. Time course of eATP synthetized from exogenous eADP (A) or
eCTP and eADP (B) in the extracellular medium of IECs. (A) The cells were incubated with the luciferase-luciferin
reaction mix and 12 μM eADP was added at the time indicated by the arrow in presence (grey) or absence (blue) of
10 μM Ap5A (B) 100 μM eCTP plus 12 μM eADP, in the presence of 10 μM Ap5A were added at the time indicated by
the arrow. [eATP] was quantified by luminometry. Values are the means of 3 independent experiments run in
duplicate.
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2.3. Ecto-AK and ecto-NDPK are active in human primary small intestinal
epithelial cells
Having characterized ecto-AK and ecto-NDPK activities of Caco-2 cells, we wondered
whether these ecto-enzymes would be functional in IECs extracted from human small intes-
tine. Accordingly, we used samples obtained from small intestine biopsies from healthy donors
(Fig 8A and 8B).
Results show that exposure of IECs to both 12 μM eADP (to assess ecto-AK) (Fig 8A) or to
12 μM eADP + 100 μM eCTP (to assess ecto-NDPK, Fig 8B) led to significant eATP produc-
tion in the micromolar range. Furthermore, as expected, the presence of ApA5 totally inhibited
the ecto-AK activity (Fig 8A).
3. Discussion
Intestinal epithelial cells can release iATP and express several ecto-enzymes capable of regu-
lating the amount and metabolism of eATP at the cell surface. The main goal of this study
was to characterize quantitatively the dynamic interplay of iATP release, eATP hydrolysis
and eATP synthesis contributing to the dynamic regulation of [eATP] in Caco-2 cells. Spe-
cial emphasis was given to the role of ecto-kinases promoting eATP production under differ-
ent conditions.
Since Caco-2 cells undergo spontaneous enterocytic differentiation in culture, we decided
to first approach the complexity of eATP regulation using the relatively simpler non-polarized
cell model, and later extend the study to fully differentiated cells. These form apical and baso-
lateral poles where morphological and biochemical features are segregated [23].
When exposed to hypotonicity, non-polarized Caco-2 cells triggered a strong iATP efflux
that rapidly inactivated, leading to low μM [eATP] accumulation. A number of studies have
confirmed that such micromolar [eATP] are capable of activating P2 receptors with high affin-
ity for that nucleotide, such as P2Y2, P2Y11 and almost all P2X receptors [25]. In Caco-2 cells,
eATP dose dependently activates P2Y receptors involved in the activation of MAPK cascades
and transcription factors that promote cell proliferation [26,27], while higher [eATP] can
induce apoptosis via P2X7 receptor [3].
In principle, purinergic activation by eATP should be transient, due to the presence of ecto-
nucleotidases, the activities of which promotes strong eATP hydrolysis in Caco-2 cells [17].
Accordingly, our results show that hypotonicity induced iATP release and concomitant eATP
accumulation, where [eATP] decay was accelerated by constitutive ecto-ATPase activity. This
decay was even higher for a model predicted upregulation of eATP hydrolysis by one or more
ecto-nucleotidases, as occurs in various cells and tissues during pathogen infection [28], cell
differentiation [29] or tumorigenesis [30].
The above results imply that iATP release and eATP hydrolysis constitute two opposing
fluxes shaping eATP kinetics of Caco-2 cells. However, the presence of ecto-kinases found in
this study suggest that the dynamic regulation of [eATP] should also take the activities of these
enzymes into account.
In this respect, addition of exogenous eADP to Caco-2 cells dose dependently increased
[eATP]. The fact that eATP synthesis was almost fully blunted by Ap5A, an AK blocker that
does not permeate intact cells, suggested the presence of a functional ecto-AK. Results of the
mathematical model allowed to envisage the contribution of ecto-AK to eATP kinetics. In the
absence of exogenous eADP, the contribution of ecto-AK to eATP kinetics was negligible, so
that [eATP] depended mainly on the balance between the rates of iATP release and eATP
hydrolysis. This is due to the low endogenous [eADP] present under the experimental condi-
tions. However, due to the sigmoidal nature of the AK reaction, model predictions show that
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PLOS COMPUTATIONAL BIOLOGYeATP recycling in human epithelial intestinal cells
increasing [eADP] in the low micromolar range, suffices to promote significant eATP synthe-
sis by ecto-AK, upregulating eATP kinetics. Thus, under certain conditions, e.g., when cell leak
intracellular ADP (iADP) or eADP is supplied paracrinally by other cell types, eATP synthesis
by ecto-AK of Caco-2 cells will transiently stabilize [eATP] levels, thereby favouring propaga-
tion of eATP-dependent purinergic signalling. A similar stabilizing role of ecto-AK on [eATP]
has been proposed for HT29 cells, lung epithelial cells and lymphocytes [14,15,31].
Modelling shows that ecto-ADPase activity, which facilitates eADP degradation, may com-
pete with ecto-AK for the available eADP. However, Caco-2 cells -as HT29 cells [15]- displayed
a relative low ecto-ADPase activity, in agreement with the presence of a functional ecto-
NTPDase 2 in both cell types [15,17], and in addition the intrinsic sigmoidal nature of ecto-
AK activity makes ecto-AK more sensitive to [eADP] than ecto-ADPase. Another consequence
of ecto-AK activation relates to P1 signalling, since activity of this enzyme will provide eAMP
from eADP for further hydrolysis to adenosine by ecto-5’NT present in Caco-2 cells [17],
finally leading to extracellular adenosine accumulation.
Our model predictions show how increasing [eADP] in the low μM range might lead to
substantial adenosine accumulation, which may engage 4 different P1 receptors [32]. The con-
sequences of P1 signalling on proliferation of Caco-2 cells and several other intestinal epithelial
cell lines have been studied before [33]. In general, the balance between P1 and P2 receptors
on epithelial cells regulate intestinal secretion [34–37] and absorption [38,39]; responses trig-
gered by the P2 receptor stimulation by eATP and other nucleotides are sometimes counter-
acted by P1 receptor stimulation by adenosine, though the potential role of ecto-AK was not
considered in this context.
Another factor affecting eATP kinetics is ecto-NDPK. Activity of this enzyme was
detected in many cells and tissues such as astrocytoma cells [40], endothelial cells [41,42],
lymphocytes [41], keratinocytes [43] and hepatocytes [44]. In general, ecto-NDPK will pri-
marily serve to transfer phosphate groups between different extracellular nucleotides and
thus potentially alter the pattern of P2 receptor activation. This is especially important since
P2 receptor subtypes are differentially selective for adenine and uridine eNDPs and eNTPs
[45,46].
Our results show that ecto-NDPK can use eCTP, eGTP and eUTP to phosphorylate eADP
to eATP. As model predictions show, activities of ecto-NDPK (promoting eATP synthesis
from eUTP and eADP) and ecto-nucleotidase (promoting eATP and eUTP hydrolysis) change
in opposite directions to transiently stabilize [eATP].
Results analysed above show that, in non-polarized Caco-2 cells, [eATP] can increase by
iATP release and ecto-kinase mediated eATP synthesis and decrease by ecto-nucleotidases
mediated by eATP hydrolysis.
Next, we studied eATP dynamics of polarized Caco-2 cells. These cells differentiate sponta-
neously into polarized cells, with apical and basolateral domains exhibiting morphological and
biochemical features of small intestine enterocytes [23,47]. In particular, the Caco-2 polarized
phenotype is characterized by high levels of hydrolases typically associated with the brush bor-
der membrane. The fact that in a variety of epithelia several ecto-nucleotidases and ecto-phos-
phatases preferentially -but not exclusively- locate in the apical domain [48–50], anticipated a
different eATP regulation at both poles of Caco-2 cells.
Accordingly, hypotonically induced eATP kinetics had a faster resolution and was more
effectively regulated at the apical, than at the basolateral side, a result in agreement with the
observed higher apical (than basolateral) ecto-ATPase activity measured in this study. This is
in agreement with several reports using intestinal epithelial cell from murine models and
human intestinal cell lines, showing that various isoforms of ecto-NTPDases, ecto-phospha-
tases and ecto-NPPases are preferentially located in the apical domain [50].
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The mechanism mediating iATP release at both sides of the polarized Caco-2 cell mono-
layer requires further investigation. We previously showed that iATP release in Caco-2 cells
challenged by adrenergic stimulation or the presence of bacteria is reduced by treatment with
carbenoxolone, a blocker of conductive iATP efflux [51]. Since the molecular mechanisms
involved in iATP release may depend on the stimulus, further investigations will be conducted
to clarify this topic.
A qualitatively similar pattern was observed for ecto-AK and ecto-NDPK of Caco-2 cells, in
that apical activities were much higher. Interestingly, the model describing eATP dynamics of
non-polarized cells could be successfully fitted to eATP kinetics on each of the polarized domains,
thus allowing to calculate the consequences of ectoenzymes sorting on eATP regulation.
The results obtained with primary human IECs suggest that our model could be employed
to explain the eATP kinetics in these cells, given the presence of both ecto-AK and ecto-NDPK.
However, further studies would be required to adapt the Caco-2 model to IECs. These studies
may need to account for bacterial periplasmic ATPases capable of hydrolyzing eATP, as we and
others have shown that commensal bacteria can express periplasmic nucleotidases and release
ATP into the intestinal lumen [51,52]. In this context, the model presented here may be taken
as a starting point to progressively add other processes affecting [eATP] regulation in vivo.
The fact that the apical domain exhibited a higher turnover of extracellular nucleotides,
leading to higher eATP regulation may have adaptive value, considering that iATP release is a
common response of epithelial intestinal cells to enteric pathogens [53]. Extracellular ATP
may then act as a danger signal controlling a variety of purinergic responses aimed at defend-
ing the organism from a variety of pathogens and their toxins present in the intestinal lumen.
4. Materials and methods
4.1. Ethics statement
The protocol for handling human samples was approved by the Institutional Review Board of
the Favaloro Foundation University Hospital (DDI [1587] 0621) and has been performed in
accordance with the ethical standards laid down in the declarations of Helsinki and Istanbul.
Informed written consent was obtained from donors.
4.2. Chemicals
All reagents were of analytical grade. Bovine serum albumin (BSA), malachite green, adeno-
sine 50 -triphosphate (ATP), adenosine 50 -diphosphate (ADP), cytidine 50-triphosphate diso-
dium salt (CTP), adenosine 50 -monophosphate (AMP), uridine 5’-triphosphate (UTP),
uridine 5’-diphosphate (UDP), guanosine-5’-triphosphate (GTP), phosphate-buffered saline
(DPBS), 4-(2-hydroxyethyl)-1-piperazineetahnesulfonic acid (HEPES), ammonium molyb-
date, Triton X-100, phenylmethylsulphonyl fluoride (PMSF), pyruvate kinase, phosphoenol-
pyruvate (PEP), luciferase, coenzyme A and P1,P5-Di (adenosine-5´) pentaphosphate pentaso-
dium salt (Ap5A) were purchased from Sigma-Aldrich (St Louis, MO, USA). D-luciferin was
purchased from Molecular Probes Inc. (Eugene, OR, USA).
4.3. Solutions
In the experiments to measure [eATP] by luminometry (section 4.5), cells were incubated with
isotonic buffer called isosmotic DPBS (300 mOsm) containing: 137 mM NaCl, 2.7 mM KCl, 1
mM CaCl2, 2 mM MgCl2, 1.5 mM KH2PO4 and 8 mM Na2HPO4, pH 7.4 at 37˚C (assay
medium). When applying a hypotonic shock to cells, the medium was changed for other con-
taining the same components but with a lower NaCl concentration. Thus, DPBS with 100, 150
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PLOS COMPUTATIONAL BIOLOGYeATP recycling in human epithelial intestinal cells
and 180 mOsm were prepared. The osmolarity of all media was measured with a vapor pres-
sure osmometer (5100B, Lugan, USA).
When measuring phosphate (section 4.8.4) the following medium without phosphate was
employed instead of isotonic buffer: 145 mM NaCl, 5 mM KCl, 1 mM CaCl2, 10 mM HEPES,
and 1 mM MgCl2, pH 7.4 at 37˚C.
4.4. Caco-2 cell culture
Caco-2 cells (ATCC, Molsheim, France) were grown in Dulbecco’s modified Eagle’s medium
(DMEM-F12, Gibco, Grad Island, NY, USA) containing 4.5 g/L glucose (Sigma-Aldrich, St
Louis, MO, USA) supplemented with 10% v/v fetal bovine serum (Natocor, Co´rdoba, Argen-
tina), 2 mM L-glutamine (Sigma-Aldrich, St Louis, MO, USA), 100 U/mL penicillin, 100 μg/
mL streptomycin and 0.25 μg/mL fungizone (Invitrogen, Carlsbad, CA, USA) in a humidified
atmosphere of 5% CO2 at 37˚C. For eATP kinetics measurements cells were directly seeded on
glass coverslips. For ecto-nucleotidase activity experiments using the malachite green method,
cells were seeded in cell culture 24-well plates (Corning Costar, NY, USA).
4.4.1. Polarisation of Caco-2 cells. For preparation of polarized Caco-2 monolayers, cells
were seeded in permeable supports (inserts) made of polyester (Transwell; 0.1 μm pore size,
1.12 cm2 cell growth area; Jet Biofil, China) in 12-well plates at a density of 3 × 104 cells/0.5 mL
per insert. The medium was changed after 3 days, and then after every 3 or 4 days. The polar-
ized Caco-2 monolayers were used for experiments after the transepithelial electrical resistance
reached a plateau (approximately 21 days after seeding). In polarized and non-polarized cul-
tures contamination (including Mycoplasma) was routinely tested.
4.5. Human Intestinal Epithelial Cells (IECs) isolation
IECs were isolated from ileum biopsies collected from healthy volunteers who were endoscopi-
cally evaluated for colon cancer (N = 3) at the Favaloro Foundation University Hospital. Sam-
ples of non-tumoral, non-injured intestinal biopsies were collected and transported in ice-cold
Hanks’s balanced salt solution (HBSS) for immediate processing. The biopsies were incubated
in 5 mM ethylenediaminetetra-acetic acid (EDTA) and 1.5 mM dithiothreitol HBSS with agita-
tion for 25–30 minutes at room temperature to obtain IECs. Cells were pelleted, re-suspended
in DPBS and used immediately.
4.6. ATP measurements
The [eATP] of non-polarized Caco-2, polarized Caco-2 monolayers or IECs was measured
using the firefly luciferase reaction (EC 1.13.12.7, Sigma-Aldrich, St Louis, MO, USA), which
catalyses the oxidation of D-luciferin in the presence of ATP to produce light [54]. As
described below, using this method it was possible to determine eATP kinetics, the iATP con-
tent and the activities of ecto-enzymes. Before the experiments, the cells were washed two
times with the assay medium (isosmotic DPBS with or without Pi).
In this work, the cells’ medium was substituted by the assay medium before any measure-
ment, therefore exoenzymes (enzymes released to extracellular medium not bound to the
membrane) were removed and only ecto-enzymes (membrane bound extracellular enzymes)
were investigated.
4.7. eATP kinetics of non-polarized Caco-2 and IECs
Non-polarized Caco-2 cells and IECs were seeded on glass coverslips. Under all conditions
cells were mounted in the assay chamber of a custom-built luminometer, as previously
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described [55]. Because luciferase activity at 37˚C is only 10% of that observed at 20˚C [56], to
maintain full luciferase activity, [eATP] measurements were performed at room temperature.
The setup allowed continuous measurements of [eATP] by the luciferin-luciferase reaction.
A calibration curve was used to transform the time course of light emission into [eATP]
versus time. Increasing [eATP] from 13 to 1000 nM were sequentially added to the assay
medium from a stock solution of pure ATP dissolved in isosmotic or hypotonic medium,
according to the experiment. Calibration curves displayed a linear relationship within the
range tested. After each experiment, cells were lysed with a solution containing 1 mM PMSF
and 0.1% of Triton X-100 and the protein contents of each sample were quantified [57].
Results were expressed as [eATP] at every time point of a kinetics curve denoted as “eATP
kinetics”, with [eATP] expressed as μM of eATP/mg protein in a final assay volume of 100 μL.
4.8. eATP kinetics of polarized monolayers
Polarized Caco-2 cells monolayers were placed in the insert physically separating an apical and
a basolateral compartment. Detection of eATP was performed separately on either side, by
adding the luciferin-luciferase mixture in one compartment (apical or basolateral) and adding
isosmotic DPBS to the other side. In preliminary experiments, we observed that the luciferin-
luciferase mix added in one compartment did not cross the monolayer into the other compart-
ment. Thus, luminescence registered when measuring the [eATP] in one compartment was
not contaminated by light from the other compartment due to luciferin-luciferase leakage.
When an hypoosmotic shock was applied, a luciferin-luciferase mix in DPBS with an osmo-
larity of 180 mOsm was added to the compartment of interest while, isosmotic DPBS was
added to the other side.
4.9. Activities of ecto-enzymes
Ecto-ATPase, ecto-AK and ecto-NDPK activities of intact cells were measured by luminome-
try (section 4.5). Ecto-nucleotidase activities were measured by measuring the inorganic phos-
phate (Pi) release.
4.9.1. Ecto-ATPase activity
Cells were exposed to different [eATP] (0.2, 1.2, 4.2 or 7 μM). Following an acute increase of
[eATP], ecto-ATPase activity was estimated from the initial velocity of eATP decay at each
[eATP].
4.9.2. Ecto-AK activity. Cells were exposed to different [eADP] (6, 12, 24 or 48 μM) and
the eATP kinetics was quantified in the absence and presence of 10 μM Ap5A (an AK blocker).
Ecto-AK initial velocity was estimated as indicated in section 4.12.
4.9.3. Ecto-NDPK activity. Cells were exposed to different [eADP] (3, 6 or 12 μM) in the
presence of eCTP (100 μM), eGTP (100 μM) or eUTP (1, 10 or 100 μM). Then, the eATP kinet-
ics was quantified in the presence of Ap5A to block the eADP to eATP conversion by ecto-AK
activity. In some experiments 5 mM eUDP was added to inhibit ecto-NDPK activity. Ecto-
NDPK initial velocity was estimated as indicated in section 4.12.
4.9.4. Ecto-NTPDase activities. Cells were incubated with 500 μM of eCTP, eUTP or
eGTP at 37˚C. Samples were taken at 30, 60, 90 and 120 minutes after nucleotides addition
and, the inorganic phosphate concentration was measured by the malachite green method
[17,58].
Activities measured in section 4.8.1 were expressed as μM of eATP hydrolysed per minute,
normalized by the cell protein mass in the experimental sample (μM of eATP /mg protein/
min). Results from experiments explained in sections 4.8.2 and 4.8.3 were expressed as μM of
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PLOS COMPUTATIONAL BIOLOGYeATP recycling in human epithelial intestinal cells
eATP synthetized per minute, normalized by the cell protein mass in the experimental sample
(μM of eATP /mg protein/min). Activities measured in section 4.8.4 were expressed as μM of
inorganic phosphate released per minute, normalized by the cell protein mass in the experi-
mental sample (μM of Pi /mg protein/min).
4.10. Intracellular ATP measurements
Caco-2 (0–30,000 cells) were laid on coverslips, incubated with 45 μL of luciferin-luciferase
reaction mix for 5 minutes and subsequently permeabilized with digitonin (1.6 mg/mL final
concentration). Light emission was transformed into [eATP] as a function of time as indicated
in section 4.6. After considering the total volume occupied by Caco-2 present in the chamber,
and the relative solvent cell volume (3.66 μl per mg of protein) [59], [iATP] was calculated in
mM. To calculate the % of iATP release, the following equation was employed:
%iATP ¼ 100
x
ATPcell
ð1Þ
where ATPcell represents the [ATP] obtained when iATP from all cells is released into the
assay medium. The "x" denotes the [eATP] measured at any time. The value of ATPcell was
66 μM/mg protein and was calculated by multiplying the [iATP] (1.8 mM, section 2.1.1) by the
Caco-2 cell volume (3.66 μl per mg of protein [59]) and diving by the assay volume (0.1 mL).
4.11. Extracellular ADP measurements
For detection of eADP of intact Caco-2 cells, 3 U/100 μL of pyruvate kinase and 100 μM PEP
were added to the luciferin-luciferase mix. Using PEP as a substrate, pyruvate kinase promotes
the stoichiometric conversion of eADP into eATP [60]. The resulting eATP was then mea-
sured by light emission using the luciferin-luciferase procedure described above.
4.12. Data analysis
Statistical significance was determined using the non-parametric Mann-Whitney test. Data
were analyzed and graphically represented using GraphPad Prism software v5.0 (Graph Pad
Software, San Diego, CA, USA). Each independent experiment was carried out in an indepen-
dent cell culture or tissue sample in a different day.
4.13. Initial velocity estimation
To measure the initial velocity of Ecto-AK or Ecto-NDPK, the eATP dynamics were measured
as indicated in section 4.8.2 and 4.8.3. Only the values of [eATP] obtained during the first 5
minutes after substrates addition were considered for further analysis. The following equation
was fitted to experimental data:
½
eATP
� ¼ Að1 (cid:0) e(cid:0) k timeÞ
ð2Þ
where A and k are parameters, whose value are optimized to achieve a good fitting of Eq 2 to
experimental data. The initial velocity is the derivative of [eATP] as a function of time at time
0 (the time when substrates were added). Thus, the initial velocity was calculated by multiply-
ing the value of A by the value of k.
4.14. Mathematical modelling
Chemical models of extracellular nucleotides were built using COPASI (Complex Pathway
Simulator) software in version 4.29 (source: https://copasi.org/) [61]. Parameter optimization
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PLOS COMPUTATIONAL BIOLOGYeATP recycling in human epithelial intestinal cells
was performed using COPASI “parameter estimation function” with Hooke & Jeeves (50 itera-
tion steps, 10−5 tolerance and 0.2 rho factor), Levenberg-Marquardt (2000 iteration steps, 10−6
tolerance), or Evolutionary programming (200 generations with a 20 population size) as opti-
mization methods. An initial guess of the parameter value was proposed based on literature
data for each kinetic step. A detailed description of the models employed in this work can be
found in S1 and S2 Tables. Parameters obtained from the model fitting are expressed as the
best value ± standard deviation. The COPASI and SBML files of the models described in sec-
tion 4.13.1 and 4.13.2 can be found in the data repository (see data availability statement).
When performing time course simulations, we used the deterministic LSODA method with
default parameters in COPASI version 4.29. Specifically, we set the relative tolerance to 10−6,
the absolute tolerance to 10−12, and allowed for a maximum of 105 internal steps without a
limit on maximal step size.
Model prediction uncertainties were calculated using the parameter scan task in COPASI,
which explores the parameter space within the interval given by the parameter best value ± the
standard error (S1 Table). Four parameter values were considered within the range of the
parameter best value ± the standard error, one at the lowest value of the interval, one at the
highest and two in the middle. Simulations were performed by testing all possible combina-
tions of the selected parameter values. The shaded regions depicted in Figs 5 and 6 correspond
to the area that includes all simulations results obtained by varying the parameters values. In
Fig 5, the prediction uncertainty was calculated by simulating the eATP kinetics while varying
the parameters KATP, KADP, Vmax Ecto-AMPase and FtrAK. These are the kinetic parameters that
control eATP kinetics under the hypotonic stimulus. In Fig 6D, 6E and 6F, the prediction
uncertainty was calculated by simulating the nucleotides kinetics by varying the parameters
KATP, KmAD, KmUTP Vmax NDPK and KNTPase.
4.1.4.1. A model of purinergic homeostasis in non-polarized Caco-2 cells. To explain
the experimental observations, a data driven mathematical model was created (depicted in Fig
4A). The model has 7 reactions to explain the chemical fluxes of transformations or transport
of extracellular nucleotides in Caco-2 cells: JATP, JEcto-ATPase, JEcto-ADPase, JEcto-AMPase, JEcto-AK,
JEcto-NDPK and JEcto-NTPDase. A detailed description of each flux, its mathematical description
and parameters can be found in S1 Table. In the model, the concentration of each species as a
function of time was calculated from the following differential equations:
�
½
@ eATP
@t
¼ JATP (cid:0)
ð
JEcto(cid:0) ATPase þ JEcto(cid:0) AK þ JEcto(cid:0) NDPK
Þ
�
½
@ eADP
@t
¼ JEcto(cid:0) ATPase (cid:0)
JEcto(cid:0) ADPase þ 2∗JEcto(cid:0) AK þ JEcto(cid:0) NDPK
�
½
@ eAMP
@t
¼ JEcto(cid:0) ADPase (cid:0)
ð
JEcto(cid:0) AK þ JEcto(cid:0) AMPase
Þ
�
½
@ eADO
@t
¼ JEcto(cid:0) AMPase
�
½
@ eCTP
@t
¼ JEcto(cid:0) NDPK
�
½
@ eCDP
@t
¼ (cid:0) JEcto(cid:0) NDPK
ð3Þ
ð4Þ
ð5Þ
ð6Þ
ð7Þ
ð8Þ
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PLOS COMPUTATIONAL BIOLOGYeATP recycling in human epithelial intestinal cells
�
½
@ eUTP
@t
¼ JEcto(cid:0) NDPK (cid:0)
JEcto(cid:0) NTPase
�
½
@ eUDP
@t
¼ (cid:0) JEcto(cid:0) NDPK þ JEcto(cid:0) NTPase
ð9Þ
ð10Þ
Note that in the equations JEcto-AK and JEcto-NDPK were considered in the direction of eATP
consumption, i.e., eAMP + eATP $ 2 eADP for JEcto-AK and eNDP + eATP $ eNTP + eADP
for JEcto-NDPK. The model was written in COPASI 4.29 and was fitted simultaneously to all
experimental data shown in Figs 1A, 1C, 2A, 3A and 3B. The fitting of the model to experi-
mental data can be seen in Figs 4B, 5C, 6A and 6C as red lines.
Some kinetic parameters of the enzymes catalyzing the reactions were obtained from the lit-
erature. Parameters from the Jecto-ATPase and Jecto-ADPase were obtained from our previous
work [17]. The Vmax of the Jecto-AMPase reaction was obtained from our previous work [17],
while the Km was obtained from the work of Navarro et al. [62]. Kinetic parameters of the Jecto-
AK activity were obtained from the work of Sheng et al [22]. The equilibrium constant (Keq)
and the affinity for ATP (KmAT) of the Jecto-NDPK were obtained from the work of Garces and
Cleland [63]. The affinity constants for product inhibition in Jecto-NDPK (KiNDP and KiADP)
were estimated from the work from Lascu et Gonin [64]. The rest of the model parameters
were obtained from model fitting to experimental data (see S1 and S2 Tables for more details).
The shape of the JATP flux as a function of time was modeled based on findings of a previous
work from our group [65].
4.1.4.2. A model of purinergic homeostasis in polarized Caco-2 cells. The model fitted
to experimental data from the apical and basolateral compartments data is the same model
indicated in section 4.13.1, although the parameters of some reactions were fitted again (S2
Table). The JATP expression for the 180 mOsm hypotonic shock in the polarized cells was dif-
ferent from the one employed on non-polarized cells (S2 Table). The mathematical expressions
of the other 6 reactions were not modified. Four parameters were refitted to the data to
account for differences in the ecto-ADPase, ecto-AK and ecto-NDPK activities after polariza-
tion (values can be found in S2 Table). Moreover, in the case of ecto-NTPDase, the eCTP
hydrolysis could not be neglected in the apical compartment and was necessary to achieve a
good fit to experimental data. In contrast the eCTP hydrolysis could be avoided in the basolat-
eral compartment without affecting model fitting. This suggest that the ecto-CTPase activity is
greater in the apical than in the basolateral compartment, in agreement with the increased
activity of other enzymes on the apical side.
The differential equations for [eCTP] and [eCDP] are modified in the apical side model to
account for the eCTP hydrolysis:
�
½
@ eCTP
@t
¼ JEcto(cid:0) NDPK (cid:0)
JEcto(cid:0) NTPase
�
½
@ eCDP
@t
¼ (cid:0) JEcto(cid:0) NDPK þ JEcto(cid:0) NTPase
ð11Þ
ð12Þ
The models for the apical and basolateral compartments were written in COPASI 4.29 and fit-
ted to experimental data shown in Fig 7A, 7C and 7D. The COPASI files can be found at
https://doi.org/10.6084/m9.figshare.21938651.v1.
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PLOS COMPUTATIONAL BIOLOGYeATP recycling in human epithelial intestinal cells
Supporting information
S1 Fig. iADP release estimation. Increase in [eATP] after a 180 mOsm hypotonic shock in
absence (blue) or presence (grey) of PK (3 U) and PEP (100 μM) were evaluated as ΔATP, i.e.,
the difference between [eATP] at 1 min post-stimulus and basal [eATP].
(TIF)
S2 Fig. Inhibition by exogenous eUDP of ecto-NDPK activity in the presence of eCTP and
eADP. Time course of eATP accumulation in the presence of 100 eUTP μM in the absence
(blue) or in the presence of 5 mM eUDP (grey). The data showed are the means of 3 indepen-
dent experiments.
(TIF)
S3 Fig. Measurement of eADP by the conversion to eATP. Caco-2 cells were incubated with
luciferin-luciferase and, at the time indicated with the arrow, PK (3 U) and PEP (100 μM) were
added. The value of the [eADP] in resting conditions was 0.77 ± 0.44 μM eADP/mg. Given a
usual protein cell mass of 0.2 mg, the [eADP] in resting conditions is 0.15 ± 0.09 μM. The data
showed are the means of 5 independent experiments.
(TIF)
S4 Fig. Ecto-nucleotidase activity of Caco-2 cells. Experiments were performed in assay
medium without Pi at room temperature, and Pi production was measured by the malachite
green method (section 4.9.4). The time course of Pi accumulation in the extracellular media of
Caco-2 cells was measured and values of enzyme activity were derived from initial rates of
nucleotides hydrolysis for 500 μM of eUTP (grey), eGTP (blue) and eCTP (light blue). The
data are the means of ± s.e.m. from 3 to 5 independent experiments.
(TIF)
S5 Fig. Basolateral and apical ecto-ATPase activity of Caco-2 cells. eATP kinetics of cells
exposed to [eATP] (0.2–7 μM). Levels of [eATP] were measured by luminometry at the baso-
lateral (A) and apical (B) sides of the polarized Caco-2 monolayers. Data is the mean of 3 inde-
pendent experiments run in duplicate. The initial velocity of the ecto-ATPase activity was
calculated by linear regression to experimental data obtaining the slope and y-intercept of the
line. The slope represented the eATP hydrolysis as a function of time, i.e. the ecto-ATPase
activity at each [eATP] and in each compartment.
(TIF)
S6 Fig. Enzyme Vmax calculated from model fitting. The plot shows the enzymes’ Vmax in
the apical and basolateral compartments, and in non-polarized cells. The ecto-NDPK Vmax (A)
were obtained from model fitting to experimental data and are the same shown in S2 Table
(for the apical and basolateral compartments) and in S1 Table (for the non-polarized cells).
The ecto-AK Vmax (B) was calculated from the model parameters using the following formula:
FtrAK k(cid:0) 2k1
, where the FtrAK was obtained from the model fitting (S2 Table for the apical and baso-
k(cid:0) 2þk1
lateral compartments and S1 Table for the non-polarized cells). The k-2 and k1 parameters
value can be found in S1 Table.
(TIF)
S1 Table. Mathematical model of eATP regulation in non-polarized Caco-2 cells. Numeri-
cal values of constants were normalized by the protein cell mass in the experiments (Mcell),
measured by the Bradford method (section 4.7 in the manuscript). Parameter fitting and simu-
lations were performed by selecting the average cell mass in the experiments (Mcell = 0.2 mg).
JL and JNL represent the lytic and non-lytic iATP release respectively upon an osmotic shock.
PLOS Computational Biology | https://doi.org/10.1371/journal.pcbi.1011196 June 29, 2023
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PLOS COMPUTATIONAL BIOLOGYeATP recycling in human epithelial intestinal cells
The value of these terms was 0 before shock application. Jleakage represents a constant and
small iATP release observed in the absence of any stimulus. The parameter values obtained
from the model fitting are expressed as the best value ± standard deviation.
(XLSX)
S2 Table. A: JNL parameters obtained from fitting to experimental data at 180 mOsm shock in
apical or basolateral compartments in polarized cells. The same value of kobs was considered
for both compartments. Parameters obtained from the model fitting are expressed as the best
value ± standard deviation. B: Parameters obtained from model fitting to experimental in
apical or basolateral compartments in polarized cells. The model equations are the same
shown in S1 Table, however, some parameters values were fitted again to experimental data
from polarized cells. The parameters whose value has changed in comparison with the model
of non-polarized cells are shown in this file. The rest of the parameters had the same value for
non-polarized cells (shown in S1 Table). The KADPase and KNTPase (for eCTP) were considered
0 in the basolateral compartment. This does not mean that there is no ecto-ADPase or ecto-
NTPase activity in the basolateral side but, they can be neglected in our experimental condi-
tions. Parameters obtained from the model fitting are expressed as the best value ± standard
deviation.
(XLSX)
Acknowledgments
We are thankful to Dr. Cafferata for providing the Caco-2 cells.
Author Contributions
Conceptualization: Nicolas Andres Saffioti, Pablo Julio Schwarzbaum, Julieta Schachter.
Data curation: Nicolas Andres Saffioti, Pablo Julio Schwarzbaum.
Formal analysis: Nicolas Andres Saffioti, Julieta Schachter.
Funding acquisition: Pablo Julio Schwarzbaum, Julieta Schachter.
Investigation: Nicolas Andres Saffioti, Cora Lilia Alvarez, Zaher Bazzi, Marı´a Virginia Genti-
lini, Julieta Schachter.
Methodology: Nicolas Andres Saffioti, Cora Lilia Alvarez, Gabriel Eduardo Gondolesi, Pablo
Julio Schwarzbaum, Julieta Schachter.
Project administration: Pablo Julio Schwarzbaum, Julieta Schachter.
Resources: Julieta Schachter.
Supervision: Pablo Julio Schwarzbaum, Julieta Schachter.
Writing – original draft: Nicolas Andres Saffioti, Pablo Julio Schwarzbaum, Julieta Schachter.
Writing – review & editing: Nicolas Andres Saffioti, Cora Lilia Alvarez, Pablo Julio Schwarz-
baum, Julieta Schachter.
References
1.
Lavoie EG, Gulbransen BD, Martı´n-Satue´ M, Aliagas E, Sharkey KA, Se´ vigny J. Ectonucleotidases in
the digestive system: focus on NTPDase3 localization. Am J Physiol Liver Physiol. 2011; 300: G608–
G620. https://doi.org/10.1152/ajpgi.00207.2010 PMID: 21233276
2. Stefan C, Jansen S, Bollen M. Modulation of purinergic signaling by NPP-type ectophosphodiesterases.
Purinergic Signal. 2006; 2: 361–370. https://doi.org/10.1007/s11302-005-5303-4 PMID: 18404476
PLOS Computational Biology | https://doi.org/10.1371/journal.pcbi.1011196 June 29, 2023
22 / 26
PLOS COMPUTATIONAL BIOLOGYeATP recycling in human epithelial intestinal cells
3. Coutinho-Silva R, Stahl L, Cheung K-K, De Campos NE, de Oliveira Souza C, Ojcius DM, et al. P2X
and P2Y purinergic receptors on human intestinal epithelial carcinoma cells: effects of extracellular
nucleotides on apoptosis and cell proliferation. Am J Physiol Liver Physiol. 2005; 288: G1024–G1035.
https://doi.org/10.1152/ajpgi.00211.2004 PMID: 15662049
4. Dal Ben D, Antonioli L, Lambertucci C, Spinaci A, Fornai M, D’Antongiovanni V, et al. Approaches for
designing and discovering purinergic drugs for gastrointestinal diseases. Expert Opin Drug Discov.
2020; 15: 687–703. https://doi.org/10.1080/17460441.2020.1743673 PMID: 32228110
5.
6.
Trautmann A. Extracellular ATP in the immune system: more than just a “danger signal.” Sci signal.
2009; 2: e6.
Zimmermann H. Extracellular ATP and other nucleotides—ubiquitous triggers of intercellular messen-
ger release. Purinergic Signal. 2016; 12: 25–57. https://doi.org/10.1007/s11302-015-9483-2 PMID:
26545760
7. Crane JK, Naeher TM, Choudhari SS, Giroux EM. Two pathways for ATP release from host cells in
enteropathogenic Escherichia coli infection. Am J Physiol Liver Physiol. 2005; 289: G407–G417.
https://doi.org/10.1152/ajpgi.00137.2005 PMID: 16093420
8. Ullrich N, Caplanusi A, Broˆ ne B, Hermans D, Larivière E, Nilius B, et al. Stimulation by caveolin-1 of the
hypotonicity-induced release of taurine and ATP at basolateral, but not apical, membrane of Caco-2
cells. Am J Physiol Physiol. 2006; 290: C1287–C1296.
9. Wei Z-Y, Qu H-L, Dai Y-J, Wang Q, Ling Z-M, Su W-F, et al. Pannexin 1, a large-pore membrane chan-
nel, contributes to hypotonicity-induced ATP release in Schwann cells. Neural Regen Res. 2021; 16:
899. https://doi.org/10.4103/1673-5374.290911 PMID: 33229726
10. Dosch M, Zindel J, Jebbawi F, Melin N, Sanchez-Taltavull D, Stroka D, et al. Connexin-43-dependent
ATP release mediates macrophage activation during sepsis. Elife. 2019; 8: e42670. https://doi.org/10.
7554/eLife.42670 PMID: 30735126
11.
To WKL, Kumar P, Marshall JM. Hypoxia is an effective stimulus for vesicular release of ATP from
human umbilical vein endothelial cells. Placenta. 2015; 36: 759–766.
12. Burnstock G. Purinergic signalling in the gastrointestinal tract and related organs in health and disease.
Purinergic Signal. 2014; 10: 3–50. https://doi.org/10.1007/s11302-013-9397-9 PMID: 24307520
13. Yegutkin GG. Enzymes involved in metabolism of extracellular nucleotides and nucleosides: functional
implications and measurement of activities. Crit Rev Biochem Mol Biol. 2014; 49: 473–497. https://doi.
org/10.3109/10409238.2014.953627 PMID: 25418535
Zimmermann H. Ectonucleoside triphosphate diphosphohydrolases and ecto-50-nucleotidase in puri-
nergic signaling: how the field developed and where we are now. Purinergic Signal. 2021; 17: 117–125.
https://doi.org/10.1007/s11302-020-09755-6 PMID: 33336318
14.
15. Bahrami F, Kukulski F, Lecka J, Tremblay A, Pelletier J, Rockenbach L, et al. Purine-metabolizing
ectoenzymes control IL-8 production in human colon HT-29 cells. Mediators Inflamm. 2014; 2014.
https://doi.org/10.1155/2014/879895 PMID: 25242873
16. Clayton A, Al-Taei S, Webber J, Mason MD, Tabi Z. Cancer exosomes express CD39 and CD73, which
suppress T cells through adenosine production. J Immunol. 2011; 187: 676–683. https://doi.org/10.
4049/jimmunol.1003884 PMID: 21677139
17. Schachter J, Alvarez CL, Bazzi Z, Faillace MP, Corradi G, Hattab C, et al. Extracellular ATP hydrolysis
in Caco-2 human intestinal cell line. Biochim Biophys Acta (BBA)-Biomembranes. 2021; 1863: 183679.
https://doi.org/10.1016/j.bbamem.2021.183679 PMID: 34216588
18.
Lu Y, Qi J, Wu W. Lipid nanoparticles: In vitro and in vivo approaches in drug delivery and targeting.
Drug targeting and stimuli sensitive drug delivery systems. Elsevier; 2018. pp. 749–783.
19. Karlsson J, Ungell A-L, Gråsjo¨ J, Artursson P. Paracellular drug transport across intestinal epithelia:
influence of charge and induced water flux. Eur J Pharm Sci. 1999; 9: 47–56. https://doi.org/10.1016/
s0928-0987(99)00041-x PMID: 10493996
20. Sinev MA, Sineva E V, Ittah V, Haas E. Domain closure in adenylate kinase. Biochemistry. 1996; 35:
6425–6437. https://doi.org/10.1021/bi952687j PMID: 8639589
21. Mayer RJ. Brain mitochondrial hexokinase and adenylate kinase: effect of osmotic conditions on
enzyme activities. J Neurochem. 1972; 19: 2127–2138. https://doi.org/10.1111/j.1471-4159.1972.
tb05122.x PMID: 5072389
22. Sheng XR, Li X, Pan XM. An iso-random Bi Bi mechanism for adenylate kinase. J Biol Chem. 1999;
274: 22238–22242. https://doi.org/10.1074/jbc.274.32.22238 PMID: 10428790
23. Harris DS, Slot JW, Geuze HJ, James DE. Polarized distribution of glucose transporter isoforms in
Caco-2 cells. Proc Natl Acad Sci. 1992; 89: 7556–7560. https://doi.org/10.1073/pnas.89.16.7556
PMID: 1502167
PLOS Computational Biology | https://doi.org/10.1371/journal.pcbi.1011196 June 29, 2023
23 / 26
PLOS COMPUTATIONAL BIOLOGYeATP recycling in human epithelial intestinal cells
24. Maule´n NP, Henrı`quez EA, Kempe S, Ca´ rcamo JG, Schmid-Kotsas A, Bachem M, et al. Up-regulation
and Polarized Expression of the Sodium-Ascorbic Acid Transporter SVCT1 in Post-confluent Differenti-
ated CaCo-2 Cells *. J Biol Chem. 2003; 278: 9035–9041. https://doi.org/10.1074/jbc.M205119200
PMID: 12381735
25. Burnstock G, Kennedy C. P2X receptors in health and disease. Adv Pharmacol. 2011; 61: 333–372.
https://doi.org/10.1016/B978-0-12-385526-8.00011-4 PMID: 21586364
26. Buzzi N, Boland R, de Boland AR. Signal transduction pathways associated with ATP-induced prolifera-
tion of colon adenocarcinoma cells. Biochim Biophys Acta (BBA)-General Subj. 2010; 1800: 946–955.
https://doi.org/10.1016/j.bbagen.2010.05.009 PMID: 20562007
27. Buzzi N, Bilbao PS, Boland R, de Boland AR. Extracellular ATP activates MAP kinase cascades
through a P2Y purinergic receptor in the human intestinal Caco-2 cell line. Biochim Biophys Acta
(BBA)-General Subj. 2009; 1790: 1651–1659. https://doi.org/10.1016/j.bbagen.2009.10.005 PMID:
19836435
28. Vuerich M, Robson SC, Longhi MS. Ectonucleotidases in intestinal and hepatic inflammation. Front
Immunol. 2019; 10: 507. https://doi.org/10.3389/fimmu.2019.00507 PMID: 30941139
29. Matsumoto H, Erickson RH, Gum JR, Yoshioka M, Gum E, Kim YS. Biosynthesis of alkaline phospha-
tase during differentiation of the human colon cancer cell line Caco-2. Gastroenterology. 1990; 98:
1199–1207. https://doi.org/10.1016/0016-5085(90)90334-w PMID: 2323513
30. Woods LT, Forti KM, Shanbhag VC, Camden JM, Weisman GA. P2Y receptors for extracellular nucleo-
tides: Contributions to cancer progression and therapeutic implications. Biochem Pharmacol. 2021;
187: 114406. https://doi.org/10.1016/j.bcp.2021.114406 PMID: 33412103
31. Yegutkin GG. Nucleotide-and nucleoside-converting ectoenzymes: important modulators of purinergic
signalling cascade. Biochim Biophys Acta (BBA)-Molecular Cell Res. 2008; 1783: 673–694. https://doi.
org/10.1016/j.bbamcr.2008.01.024 PMID: 18302942
32. Kolachala VL, Bajaj R, Chalasani M, Sitaraman S V. Purinergic receptors in gastrointestinal inflamma-
tion. Am J Physiol Liver Physiol. 2008; 294: G401–G410. https://doi.org/10.1152/ajpgi.00454.2007
PMID: 18063703
33.
Lelièvre V, Muller J-M, Falcòn J. Adenosine modulates cell proliferation in human colonic carcinoma. II.
Differential behavior of HT29, DLD-1, Caco-2 and SW403 cell lines. Eur J Pharmacol. 1998; 341: 299–
308. https://doi.org/10.1016/s0014-2999(97)01463-5 PMID: 9543252
34. Christofi FL. Purinergic receptors and gastrointestinal secretomotor function. Purinergic Signal. 2008;
4: 213–236. https://doi.org/10.1007/s11302-008-9104-4 PMID: 18604596
35. Grasl M, Turnheim K. Stimulation of electrolyte secretion in rabbit colon by adenosine. J Physiol. 1984;
346: 93–110. https://doi.org/10.1113/jphysiol.1984.sp015009 PMID: 6699790
36.
Leipziger J, Kerstan D, Nitschke R, Greger R. ATP increases [Ca2+] i and ion secretion via a basolateral
P2Y-receptor in rat distal colonic mucosa. Pflu¨gers Arch. 1997; 434: 77–83. https://doi.org/10.1007/
pl00008079 PMID: 9094258
37. Korman LY, Lemp GF, Jackson MJ, Gardner JD. Mechanism of action of ATP on intestinal epithelial
cells: cyclic AMP-mediated stimulation of active ion transport. Biochim Biophys Acta (BBA)-Molecular
Cell Res. 1982; 721: 47–54.
38. Yamamoto T, Suzuki Y. Role of luminal ATP in regulating electrogenic Na+ absorption in guinea pig dis-
tal colon. Am J Physiol Liver Physiol. 2002; 283: G300–G308. https://doi.org/10.1152/ajpgi.00541.2001
PMID: 12121876
39. Kinoshita N, Takahashi T, Tada S, Shinozuka K, Mizuno N, Takahashi K. Activation of P2Y receptor
enhances high-molecular compound absorption from rat ileum. J Pharm Pharmacol. 2006; 58: 195–
200. https://doi.org/10.1211/jpp.58.2.0006 PMID: 16451747
40.
Lazarowski ER, Homolya L, Boucher RC, Harden TK. Identification of an ecto-nucleoside diphosphoki-
nase and its contribution to interconversion of P2 receptor agonists. J Biol Chem. 1997; 272: 20402–
20407. https://doi.org/10.1074/jbc.272.33.20402 PMID: 9252347
41. Yegutkin GG, Henttinen T, Samburski SS, Spychala J, Jalkanen S. The evidence for two opposite,
ATP-generating and ATP-consuming, extracellular pathways on endothelial and lymphoid cells. Bio-
chem J. 2002; 367: 121–128. https://doi.org/10.1042/BJ20020439 PMID: 12099890
42. Yegutkin GG, Henttinen T, Jalkanen S. Extracellular ATP formation on vascular endothelial cells is
mediated by ecto-nucleotide kinase activities via phosphotransfer reactions. FASEB J. 2001; 15: 251–
260. https://doi.org/10.1096/fj.00-0268com PMID: 11149913
43. Burrell HE, Wlodarski B, Foster BJ, Buckley KA, Sharpe GR, Quayle JM, et al. Human keratino-
cytes release ATP and utilize three mechanisms for nucleotide interconversion at the cell surface.
J Biol Chem. 2005; 280: 29667–29676. https://doi.org/10.1074/jbc.M505381200 PMID:
15958381
PLOS Computational Biology | https://doi.org/10.1371/journal.pcbi.1011196 June 29, 2023
24 / 26
PLOS COMPUTATIONAL BIOLOGYeATP recycling in human epithelial intestinal cells
44.
Fabre ACS, Vantourout P, Champagne E, Terce´ F, Rolland C, Perret B, et al. Cell surface adenylate
kinase activity regulates the F1-ATPase/P2Y13-mediated HDL endocytosis pathway on human hepato-
cytes. Cell Mol Life Sci C. 2006; 63: 2829–2837.
45. Kennedy C. The P2Y/P2X divide: How it began. Biochem Pharmacol. 2021; 187: 114408. https://doi.
org/10.1016/j.bcp.2021.114408 PMID: 33444568
46. Giuliani AL, Sarti AC, Di Virgilio F. Extracellular nucleotides and nucleosides as signalling molecules.
Immunol Lett. 2019; 205: 16–24. https://doi.org/10.1016/j.imlet.2018.11.006 PMID: 30439478
47. Pieri M, Christian HC, Wilkins RJ, Boyd CAR, Meredith D. The apical (hPepT1) and basolateral peptide
transport systems of Caco-2 cells are regulated by AMP-activated protein kinase. Am J Physiol Liver
Physiol. 2010; 299: G136–G143. https://doi.org/10.1152/ajpgi.00014.2010 PMID: 20430871
48. Narumi K, Ohata T, Horiuchi Y, Satoh H, Furugen A, Kobayashi M, et al. Mutual role of ecto-5’-nucleo-
tidase/CD73 and concentrative nucleoside transporter 3 in the intestinal uptake of dAMP. PLoS One.
2019; 14: e0223892. https://doi.org/10.1371/journal.pone.0223892 PMID: 31634358
49. Salem M, Lecka J, Pelletier J, Marconato DG, Dumas A, Vallières L, et al. NTPDase8 protects mice
from intestinal inflammation by limiting P2Y6 receptor activation: identification of a new pathway of
inflammation for the potential treatment of IBD. Gut. 2022; 71: 43–54. https://doi.org/10.1136/gutjnl-
2020-320937 PMID: 33452178
50.
Zimmermann H, Zebisch M, Stra¨ter N. Cellular function and molecular structure of ecto-nucleotidases.
Purinergic Signal. 2012; 8: 437–502. https://doi.org/10.1007/s11302-012-9309-4 PMID: 22555564
51. Alvarez CL, Corradi G, Lauri N, Marginedas-Freixa I, Leal Denis MF, Enrique N, et al. Dynamic regula-
tion of extracellular ATP in Escherichia coli. Biochem J. 2017; 474: 1395–1416. https://doi.org/10.1042/
BCJ20160879 PMID: 28246335
52.
Inami A, Kiyono H, Kurashima Y. ATP as a pathophysiologic mediator of bacteria-host crosstalk in the
gastrointestinal tract. Int J Mol Sci. 2018; 19: 2371. https://doi.org/10.3390/ijms19082371 PMID:
30103545
53. Puhar A, Tronchère H, Payrastre B, Van Nhieu GT, Sansonetti PJ. A Shigella effector dampens inflam-
mation by regulating epithelial release of danger signal ATP through production of the lipid mediator
PtdIns5P. Immunity. 2013; 39: 1121–1131. https://doi.org/10.1016/j.immuni.2013.11.013 PMID:
24332032
54. Strehler BL. Bioluminescence assay: principles and practice. Methods Biochem Anal. 1968; 16: 99–
181. https://doi.org/10.1002/9780470110348.ch2 PMID: 4385967
55. Pafundo DE, Chara O, Faillace MP, Krumschnabel G, Schwarzbaum PJ. Kinetics of ATP release and
cell volume regulation of hyposmotically challenged goldfish hepatocytes. Am J Physiol Integr Comp
Physiol. 2008; 294: R220–R233. https://doi.org/10.1152/ajpregu.00522.2007 PMID: 17928510
56. Gorman MW, Marble DR, Ogimoto K, Feigl EO. Measurement of adenine nucleotides in plasma. Lumin
J Biol Chem Lumin. 2003; 18: 173–181. https://doi.org/10.1002/bio.721 PMID: 12701093
57. Bradford MM. A rapid and sensitive method for the quantitation of microgram quantities of protein utiliz-
ing the principle of protein-dye binding. Anal Biochem. 1976; 72: 248–254. https://doi.org/10.1006/abio.
1976.9999 PMID: 942051
58.
Lanzetta PA, Alvarez LJ, Reinach PS, Candia OA. An improved assay for nanomole amounts of inor-
ganic phosphate. Anal Biochem. 1979; 100: 95–97. https://doi.org/10.1016/0003-2697(79)90115-5
PMID: 161695
59. Blais A, Bissonnette P, Berteloot A. Common characteristics for Na+-dependent sugar transport in
Caco-2 cells and human fetal colon. J Membr Biol. 1987; 99: 113–125. https://doi.org/10.1007/
BF01871231 PMID: 3123697
60. Mohammadi S, Nikkhah M, Nazari M, Hosseinkhani S. Design of a coupled bioluminescent assay for a
recombinant pyruvate kinase from a thermophilic Geobacillus. Photochem Photobiol. 2011; 87: 1338–
1345. https://doi.org/10.1111/j.1751-1097.2011.00973.x PMID: 21790618
61. Hoops S, Sahle S, Gauges R, Lee C, Pahle J, Simus N, et al. COPASI—a COmplex PAthway SImula-
tor. Bioinformatics. 2006; 22: 3067–3074. https://doi.org/10.1093/bioinformatics/btl485 PMID:
17032683
62. Navarro JM, Olmo N, Turnay J, Lo´ pez-Conejo MT, Lizarbe MA. Ecto-50-nucleotidase from a
human colon adenocarcinoma cell line. Correlation between enzyme activity and levels in intact
cells. Mol Cell Biochem. 1998; 187: 121–131. https://doi.org/10.1023/a:1006808232059 PMID:
9788749
63. Garces E, Cleland WW. Kinetic study of yeast nucleosidediphosphate kinase. Biochemistry. 1969; 8:
633–640.
64.
Lascu I, Gonin P. The catalytic mechanism of nucleoside diphosphate kinases. J Bioenerg Biomembr.
2000; 32: 237–246. https://doi.org/10.1023/a:1005532912212 PMID: 11768307
PLOS Computational Biology | https://doi.org/10.1371/journal.pcbi.1011196 June 29, 2023
25 / 26
PLOS COMPUTATIONAL BIOLOGYeATP recycling in human epithelial intestinal cells
65. Espelt M V, de Tezanos Pinto F, Alvarez CL, Alberti GS, Incicco J, Denis MFL, et al. On the role of ATP
release, ectoATPase activity, and extracellular ADP in the regulatory volume decrease of Huh-7 human
hepatoma cells. Am J Physiol Physiol. 2013; 304: C1013–C1026. https://doi.org/10.1152/ajpcell.00254.
2012 PMID: 23485713
PLOS Computational Biology | https://doi.org/10.1371/journal.pcbi.1011196 June 29, 2023
26 / 26
PLOS COMPUTATIONAL BIOLOGY
| null |
10.1126_sciadv.adf9336.pdf
| null | null |
Supplementary Materials for
Reconstitution of morphogen shuttling circuits
Ronghui Zhu et al.
Corresponding author: Michael B. Elowitz, melowitz@caltech.edu
Sci. Adv. 9, eadf9336 (2023)
DOI: 10.1126/sciadv.adf9336
The PDF file includes:
Supplementary Text
Figs. S1 to S11
Tables S1 to S4
Legends for movies S1 to S8
References
Other Supplementary Material for this manuscript includes the following:
Movies S1 to S8
Supplementary Text
The mathematical model of BMP4-Chordin-Twsg1-BMP-1 circuit
Here we introduce the mathematical model of BMP4-Chordin-Twsg1-BMP-1 circuit, which is
based on previous models (10, 20, 30) but specifically incorporating the components analyzed here
(Fig. 4A), including mobile extracellular components BMP4 ([𝐵𝑀𝑃4]), Chordin ([𝐶ℎ𝑜𝑟𝑑𝑖𝑛]),
Twsg1 ([𝑇𝑤𝑠𝑔1]), BMP4-Chordin complex ([𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛]) and BMP4-Chordin-Twsg1
([𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛-𝑇𝑤𝑠𝑔1]) complex, as well as immobile components receptors ([𝑅]), BMP4-
receptor complex ([𝐵𝑅]), and fluorescent reporters ([𝐶𝑖𝑡𝑟𝑖𝑛𝑒]).
We used a set of reaction-diffusion partial differential equations for mobile components. Thus,
their equations have two parts. The first part is a diffusion term 𝐷∇!𝑐, where 𝑐 can be [𝐵𝑀𝑃4],
[𝐶ℎ𝑜𝑟𝑑𝑖𝑛], [𝑇𝑤𝑠𝑔1], [𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛], [𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛-𝑇𝑤𝑠𝑔1], and 𝐷 can be 𝐷", 𝐷#, 𝐷$,
𝐷"#, 𝐷"#$, correspondingly. We used the effective diffusion coefficients for each mobile
component, taking into account the effects of their interactions with extracellular matrix
components such as heparan sulfate polyglycans, but not BMP4-receptor interactions.
The second part contains reaction terms. First, BMP4 can bind to Chordin weakly, with estimated
association rate 𝑘"# and dissociation rate 𝑟"#. Then BMP4-Chordin complex can further interact
with Twsg1 to form BMP4-Chordin-Twsg1 complex, with association rate 𝑘"#$ and dissociation
rate 𝑟"#$. Furthermore, BMP4 can bind to receptors with estimated association rate 𝑘% and
dissociation rate 𝑟%. Finally, Chordin in its free form or in complex forms can be cleaved by BMP-1
secreted by Receiver-B1 cells with a rate 𝛽 dependent on BMP-1 expression level, and BMP4 and
Twsg1 can be released from BMP4-Chordin and BMP4-Chordin-Twsg1 complex once Chordin is
cleaved. Thus, we can write,
𝜕[𝐵𝑀𝑃4]/𝜕𝑡 = 𝐷"∇![𝐵𝑀𝑃4] − 𝑘"#[𝐵𝑀𝑃4][𝐶ℎ𝑜𝑟𝑑𝑖𝑛] + 𝑟"#[𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛]
− 𝑘%[𝐵𝑀𝑃4][𝑅] + 𝑟%[𝐵𝑅] + 𝛽[𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛] + 𝛽[𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛-𝑇𝑤𝑠𝑔1]
𝜕[𝐶ℎ𝑜𝑟𝑑𝑖𝑛]/𝜕𝑡 = 𝐷#∇![𝐶ℎ𝑜𝑟𝑑𝑖𝑛] − 𝑘"#[𝐵𝑀𝑃4][𝐶ℎ𝑜𝑟𝑑𝑖𝑛] + 𝑟"#[𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛]
− 𝛽[𝐶ℎ𝑜𝑟𝑑𝑖𝑛]
𝜕[𝑇𝑤𝑠𝑔1]/𝜕𝑡 = 𝐷$∇![𝑇𝑤𝑠𝑔1] − 𝑘"#$[𝑇𝑤𝑠𝑔1][𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛]
+ 𝑟"#$[𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛-𝑇𝑤𝑠𝑔1] + 𝛽[𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛-𝑇𝑤𝑠𝑔1]
𝜕[𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛]/𝜕𝑡 = 𝐷"#∇![𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛] + 𝑘"#[𝐵𝑀𝑃4][𝐶ℎ𝑜𝑟𝑑𝑖𝑛]
− 𝑟"#[𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛] − 𝑘"#$[𝑇𝑤𝑠𝑔1][𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛]
+ 𝑟"#$[𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛-𝑇𝑤𝑠𝑔1] − 𝛽[𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛]
𝜕[𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛-𝑇𝑤𝑠𝑔1]/𝜕𝑡 = 𝐷"#$∇![𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛-𝑇𝑤𝑠𝑔1]
+ 𝑘"#$[𝑇𝑤𝑠𝑔1][𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛] − 𝑟"#$[𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛-𝑇𝑤𝑠𝑔1]
− 𝛽[𝐵𝑀𝑃4-𝐶ℎ𝑜𝑟𝑑𝑖𝑛-𝑇𝑤𝑠𝑔1]
Note that Twsg1 can also interact with BMP4 and Chordin individually (71), so there exist multiple
interaction routes of forming the final BMP4-Chordin-Twsg1 complex. However, since
interactions between Twsg1 and BMP4 or Chordin are much weaker than interactions between
BMP4 and Chordin, we only consider one interaction route (BMP4 first interacts with Chordin,
then BMP4-Chordin interacts with Twsg1) in our model.
For the immobile BMP4 receptors ([𝑅]), other than reversible interactions with BMP4 ligands, we
also considered receptor-mediated internalization and degradation of BMP4 ligands (72). Once the
BMP4-receptor complex ([𝐵𝑅]) is internalized, we assumed that the BMP4 ligand is degraded and
the receptor is recycled with a rate 𝛾. Thus, we can write,
𝜕[𝑅]/𝜕𝑡 = −𝑘%[𝐵𝑀𝑃4][𝑅] + 𝑟%[𝐵𝑅] + 𝛾[𝐵𝑅]
𝜕[𝐵𝑅]/𝜕𝑡 = 𝑘%[𝐵𝑀𝑃4][𝑅] − 𝑟%[𝐵𝑅] − 𝛾[𝐵𝑅]
From these equations we can see that the total receptor concentration 𝑅𝑇𝑜𝑡𝑎𝑙 = [𝑅] + [𝐵𝑅] is
held constant. Finally, we assume fluorescent reporter production rate follows a Hill function with
BMP4-receptor complex concentration as a variable. The Citrine degrades with a ~24hr turnover
time (70). Thus, we can write,
𝜕[𝐶𝑖𝑡𝑟𝑖𝑛𝑒]/𝜕𝑡 = 𝑏[𝐵𝑅]&/(𝐾& + [𝐵𝑅]&) − 𝛿’()[𝐶𝑖𝑡𝑟𝑖𝑛𝑒]
To obtain more precise estimates of parameters that have relatively large estimated ranges from
previous studies, such as 𝑅𝑇𝑜𝑡𝑎𝑙, 𝑘%, 𝑟% and 𝛾, as we as parameters that cannot be estimated from
previous studies, such as 𝑏, 𝑛 and 𝐾, we fitted a simplified model containing only [𝐵𝑀𝑃4], [𝑅],
[𝐵𝑅], [𝐶𝑖𝑡𝑟𝑖𝑛𝑒], and without diffusion terms, to a time-lapse movie (Movie S2-4) of Receiver-B1
cells turning on Citrine fluorescence in response to 5, 10, 20 ng/ml recombinant BMP4. All
estimated parameters used in the model are listed in Table S4.
There is a time delay for Citrine fluorescence to become detectable after BMP signaling, due to
transcription, translation and maturation of Citrine fluorescence proteins (Fig. S1). To incorporate
this delay into the model, we added a [𝐶𝑖𝑡𝑟𝑖𝑛𝑒]∗ term to lump together species like Citrine mRNA
and immature Citrine proteins that are produced by Citrine fluorescence reporter but have not been
converted into detectable mature Citrine proteins. The [𝐶𝑖𝑡𝑟𝑖𝑛𝑒]∗ can be converted into [𝐶𝑖𝑡𝑟𝑖𝑛𝑒]
with a conversion rate 𝑟’(), i.e.,
𝜕[𝐶𝑖𝑡𝑟𝑖𝑛𝑒]∗/𝜕𝑡 = 𝑏[𝐵𝑅]&/(𝐾& + [𝐵𝑅]&) − 𝛿’()[𝐶𝑖𝑡𝑟𝑖𝑛𝑒]∗ − 𝑟’()[𝐶𝑖𝑡𝑟𝑖𝑛𝑒]∗
𝜕[𝐶𝑖𝑡𝑟𝑖𝑛𝑒]/𝜕𝑡 = 𝑟’()[𝐶𝑖𝑡𝑟𝑖𝑛𝑒]∗ − 𝛿’()[𝐶𝑖𝑡𝑟𝑖𝑛𝑒]
When parameter values were not available, we made arbitrary but physiologically reasonable
assumptions, and later tested whether key conclusions were sensitive to these values. As shown in
Fig. S6, key conclusions in this paper were relatively insensitive to the precise values of unknown
parameters, or to the incorporation of time delay of Citrine fluorescence reporter.
Fig. S1. Dynamics of citrine fluorescence reporter after recombinant BMP4 addition.
(A) Images at selected timepoints of time-lapse imaging data (one of two replicates, corresponding
to Movie S1-4) of Receiver-B1 cells treated with various concentrations of recombinant BMP4
(rBMP4). (B) Citrine fluorescence reporter shows significant elevation at 4 hours after the addition
of 5 ng/ml rBMP4 (left), and at 3 hours after the addition of 10 ng/ml rBMP4 (middle) and 20
ng/ml rBMP4 (right). At each timepoint, we calculated the average citrine level per image column
and acquired a distribution of average citrine per column. Then we used Welch’s t-test to test
whether citrine distribution of samples with rBMP4 is significantly larger than citrine distribution
of the sample without rBMP4 for each timepoint (ns: p≥0.05, not significant; *: p<0.05,
significant). These results show that the time delay of Citrine fluorescence reporter is 3-4 hours,
since BMP signaling can be detected by pSmad staining 20 minutes after rBMP4 addition (44).
Fig. S2. BMP gradients can be reconstituted in vitro.
(A) (Top) Images at selected timepoints of Movie S5 are from the same time-lapse imaging data
as Fig. 2B (adding a 60hr image). (Bottom) mCherry expression at the sender region can be
visualized more clearly by focusing on the RFP channel alone at the same selected timepoints. (B)
Without 4-OHT induction (Movie S1), no gradients were formed (top) and no mCherry expression
(bottom) was detected in the sender region. In both (A) and (B), the white line on each image labels
the position of sender-receiver interface. The Citrine fluorescence is shown as yellow, and
mCherry fluorescence is shown as red.
Fig. S3. Raw flow cytometry traces and statistical tests of sender-receiver co-culture
experiment in Fig. 3A.
(A) These raw flow cytometry traces are from one of the three replicate experiments. To calculate
the log2 fold change in Fig. 3A, we first obtained the mean Citrine from each trace, then calculated
the log2 fold change by the equation log2[(Receiver Citrine - Cit0) / (Cit1 - Cit0)], where Cit0 is the
receiver Citrine of the sample without 4-OHT (gray trace) and Cit1 is the receiver Citrine of the
sample with only 4-OHT induction (red trace). The number in the parenthesis in the figure legend
corresponds to the condition number in Fig. 3A. (B) For each matrix entry, the number is the p
value of Welch’s t-test between the corresponding pair of conditions. The condition number
corresponds to the condition number in Fig. 3A.
Fig. S4. Noggin strongly inhibits BMP4 signaling.
(A) We used the same doxycycline inducible system as Sender-C to construct an inducible Noggin
sender cell line, Sender-N (Table S3). (B) Sender-receiver co-culture experiment verifies strong
inhibition of BMP4 signaling by Noggin, which cannot be relieved by BMP-1 expression. This
co-culture experiment was performed in a similar way to that in Fig. 3A, with Sender-N*
substituting Sender-C*. Sender-N* cells were engineered from Sender-N cells by adding a
constitutively expressed mTurquoise2 cassette (Table S3), so that they can be distinguished from
Receiver-B1 cells in flow cytometry. (C) Noggin can form inhibitory gradients, which cannot be
modulated by BMP-1 expression. In samples with Dox induction, Dox was added 8 hours before
other components (rBMP4, rTwsg1 and ABA) to pre-induce Chordin expression. In all samples,
15 ng/ml recombinant BMP4 was added to the culture, and we took images 24 hours after rBMP4
was added. (D) Noggin expression completely abolishes BMP4 gradients. Cells were plated using
the Fig. 2A protocol, with Sender-N cells substituting filler cells. 4-OHT, Dox and ABA were
added together and images were taken 48 hours after induction. In both (B) and (D), 4-OHT = 4
µM. In (B), (C) and (D), Dox = 100 ng/ml, rTwsg1 = 10 nM, ABA = 1000 µM. In (C), N is the
number of replicates. The white line on each image labels the position of sender-receiver interface.
The Citrine fluorescence is shown as yellow, and mTurquoise2 fluorescence is shown as blue.
White corresponds to yellow+blue on the computer screen. We removed the mCherry channel
from images to avoid interfering with the Citrine visualization.
Fig. S5. Full images and individual traces of Fig. 3B.
The white line on each image labels the position of sender-receiver interface. The Citrine
fluorescence is shown as yellow, and mTurquoise2 fluorescence is shown as blue. White
corresponds to yellow+blue on the computer screen. We removed the mCherry channel from
images to avoid interfering with the Citrine visualization. The replicate #3 of rBMP4+Dox+
rTwsg1+ABA group used a small field of view due to an acquisition error, making the individual
trace and average trace for that condition noisier than other traces in Fig. 3B.
Fig. S6. Qualitative shuttling behaviors in Fig. 4 were insensitive to the precise values of
unknown parameters or to incorporation of a time delay of Citrine reporter.
The qualitative shuttling behaviors include (1) Chordin lengthens the gradient, (2) Twsg1 with
Chordin suppresses gradients, (3) BMP-1 with other components generates a displaced gradient.
(A) In the original model (left), we arbitrarily chose a 𝑘"#$ to be the same as 𝑘"# (Table S4), both
within the diffusion limited rate range (0.006 nM-1min-1 – 0.06 nM-1min-1) (73). Holding other
parameters constant, changing 𝑘"#$ to the upper (middle) or lower (right) limit of the diffusion
limited rate range does not affect the qualitative shuttling behaviors. (B) Previous studies showed
that Twsg1 enhances BMP-1 cleavage of Chordin in vitro (18, 74). In the original model (left), we
set the BMP-1 cleavage rate 𝛽 to be the same for Chordin in both BMP4-Chordin and BMP4-
Chordin-Twsg1. Holding other parameters constant, setting a higher BMP-1 cleavage rate for
Chordin in BMP4-Chordin-Twsg1 (right) does not affect the qualitative shuttling behaviors. (C)
Twsg1 is not necessary for a displaced gradient, but the contrast between proximal and distal BMP
signals (compared with the plots of the original model in (A) or (B)). (D) Incorporating the time
delay of Citrine reporter (Fig. S1) does not affect the qualitative shuttling behaviors. We
incorporate the time delay by introducing a [𝐶𝑖𝑡𝑟𝑖𝑛𝑒]∗ term to lump together species that are
produced by Citrine fluorescence reporter but not detectable yet, such as Citrine mRNA and
immature Citrine fluorescence proteins, and a conversion rate 𝑟’() between [𝐶𝑖𝑡𝑟𝑖𝑛𝑒]∗ and
detectable mature Citrine fluorescence protein [𝐶𝑖𝑡𝑟𝑖𝑛𝑒] (Supplementary Text). The 𝑟’() is set to
0.00385 min-1, corresponding to a 3-hour conversion time (Table S4, Fig. S1).
Fig. S7. Pairwise comparison of Citrine traces in Fig. 4.
For each pair of traces, we performed pixel-wise Welch’s t-test along the distance to the sender-
receiver interface. The red line on the distance versus log10 p value plot is log10(0.05).
Fig. S8. Twsg1 addition or BMP-1 expression minimally affects BMP4 gradients without
Chordin.
In the sender region, Sender-B cells were mixed with filler cells (Sender-C, see Materials and
Methods). 4-OHT and (A) rTwsg1 or (B) ABA were added together, and images were taken 48
hours after induction. In both (A) and (B), the white line on each image labels the position of
sender-receiver interface. The Citrine fluorescence is shown as yellow. We removed the mCherry
channel from images to avoid interfering with the Citrine visualization. 4 µM 4-OHT was added
to all samples. N denotes the number of replicates.
Fig. S9. The mathematical model recapitulates the dynamic properties of shuttling.
We generated the simulated dynamic gradient formation data using the same mathematical model
in Fig. 4 (also see Supplementary Text), with all the parameters being the same except for the
scaling factor of Citrine fluorescence (b). (A) Simulated data recapitulates the dynamic features of
gradient formation for 4-OHT only condition (Fig. 2B and Fig. S2A), including gradient shapes
approach a steady state at around 30hr (red line of normalized citrine) and instantaneous signal
first increases near the source, then spread to more distal regions, and begin to diminish near the
source after 30hr, possibly due to receptor saturation. (B) Simulated data recapitulates the dynamic
features of shuttling. The dotted lines and bidirectional arrows between dotted lines in the top two
instantaneous signal plots show that, both in model and in experiment, Chordin addition by Dox
causes a delay of the Citrine signal to reach a detectable level. The arrows in the bottom
instantaneous signal plot show that, both in model and in experiment, the Citrine signal in
4-OHT+Dox+rTwsg1+ABA condition initiates near the final displaced peak position and spreads
outwards.
Fig. S10. Raw flow cytometry traces and statistical tests of sender-receiver co-culture
experiment in Fig. 6A.
(A) These raw flow cytometry traces are from one of the four replicate experiments. To calculate
the log2 fold change in Fig. 6A, we first obtained the mean Citrine from each trace, then calculated
the log2 fold change by the equation log2[(Receiver Citrine - Cit0) / (Cit1 - Cit0)], where Cit0 is the
receiver Citrine of the sample without 4-OHT (gray trace) and Cit1 is the receiver Citrine of the
sample with only 4-OHT induction (red trace). The number in the parenthesis in the figure legend
corresponds to the condition number on the right. (B) For each matrix entry, the number is the p
value of Welch’s t-test between the corresponding pair of conditions. The condition number
corresponds to the condition number in (A).
Fig. S11. Pairwise comparison of Citrine traces in Fig. 6C.
For each pair of traces, we performed pixel-wise Welch’s t-test along the distance to the sender-
receiver interface. The red line on the distance versus log10 p value plot is log10(0.05).
Table S1. List of BMP ligands, receptors and modulators expressed in NMuMG cells (data from
Antebi et al., 2017).
Gene (Ligand) FPKM
Gene (Receptor) FPKM Gene (Modulator) FPKM
Bmp2
Bmp3
Bmp3b
Bmp4
Bmp5
Bmp6
Bmp7
Bmp8a
Bmp8b
Bmp9
Bmp10
Bmp15
0.966488
0
0
6.17382
0
0.128872
1.06013
0.240426
0.0148391
0
0
0
Bmpr1a
Bmpr1b
Bmpr2
Acvr1
Acvr2a
Acvr2b
18.6297
0
5.64062
65.3538
54.2251
105.359
Nog
Chrd
Twsg1
Bmp1
Bmper
Bambi
0.0946048
0.132197
57.4595
24.9904
0.486271
0.956501
Dragon/Rgmb
6.41953
Chrdl1
Chrdl2
Fst
Fstl1
Fstl5
Sost
Sostdc-1
Nbl1
Cer1
Grem1
Grem2
Crim1
Kcp
0
0.0308965
3.12281
1.01323
0
0
0
37.5115
0
0
0
37.1051
0.433142
Gapdh
39.5971
Table S2. List of plasmids used in this study.
Index
Construct name
Cell line
pJM009 PB-PGK-ERT2-Gal4-T2A-H2B-Citrine-SV40-HygroR Sender-B
pJM018
PB-UAS-BMP4-IRES-H2B-mCherry-BGHpA-SV40-
BlastR
Sender-B
pRZ007 PB-EF1α-TET3G-IRES-H2B-citrine-BGHpA-SV40-
NeoR
Sender-C, Sender-N, Sender-
S
pRZ011 PB-TRE3G-Chordin-IRES-H2B-mTurquoise2-SV40-
Sender-C
ZeoR
pRZ012 PB-TRE3G-Noggin-IRES-H2B-mTurquoise2-SV40-
Sender-N
ZeoR
pRZ018 PB-TRE3G-Sog-IRES-H2B-mTurquoise2-SV40-ZeoR Sender-S
pRZ044 PB-UAS-BMP-1-IRES-H2B-mCherry-SV40-BlastR
Receiver-B1
pRZ056 PB-EF1α-NLS-VP16-PYL-IRES-NLS-Gal4DBD-ABI-
Receiver-B1
SV40-NeoR
pRZ032 PB-EF1α-IRES-H2B-mTurquoise2-BGHpA-SV40-
Sender-B*
NeoR
ES006
PB-CAG-H2B-mTurqoise2-BGHpA-SV40-HygroR
Sender-C*, Sender-N*,
Sender-S*
Note:
PB = PiggyBac backbone;
ERT2-Gal4 = Gal4-VP16 transcriptional activator fused with human estrogen receptor (variant
ERT2) (46);
Gal4DBD = DNA-binding domain of Gal4;
Tet3G = Tet-On 3G transactivator protein from Takara Bio;
PYL, ABI = domains from PYL1 and ABI1 genes that confer ABA-induced proximity (47);
PGK = constitutive promoter from mouse phosphoglycerate kinase 1 gene;
UAS = inducible promoter with ERT2-Gal4 binding site;
EF1α = constitutive EF1α promoter;
TRE3G = inducible promoter with Tet3G binding sites;
CAG = constitutive CAG promoter (75);
SV40 = constitutive promoter from the early promoter of the simian virus 40
NLS = nuclear localization sequence;
IRES = internal ribosome entry site;
BGHpA = bovine growth hormone polyadenylation signal;
HygroR, BlastR, NeoR, ZeoR = antibiotics resistance genes for hygromycin, blasticidin,
geneticin/neomycin and zeocin, respectively;
Construct maps in GenBank format are available at data.caltech.edu/records/0sdrn-73r13.
Table S3. List of stable cell lines constructed for this study and their use in the figures.
Cell lines Parental cells
Figures
Polyclonal or
Monoclonal
Integrated
constructs
Sender-B NMuMG (ATCC) Monoclonal
Sender-C NMuMG (ATCC) Monoclonal
Sender-N NMuMG (ATCC) Monoclonal
Sender-S NMuMG (ATCC) Monoclonal
Receiver-
B1
NMuMG Sensor
Line from (45)
Monoclonal
Sender-B* Sender-B
Monoclonal
Sender-C* Sender-C
Monoclonal
Sender-N* Sender-N
Sender-S* Sender-S
Polyclonal
Polyclonal
pJM009,
pJM018
pRZ007,
pRZ011
pRZ007,
pRZ012
pRZ007,
pRZ018
pRZ044,
pRZ056
pRZ032
ES006
ES006
ES006
2-5, 6C, S2, S4C, S4D, S5,
S8, Movie S1, Movie S5-8
3B, 4, 5, S5, S8, Movie S1,
Movie S5-8
S4C, S4D
6C
2- 6, S1-5, S8, S10, Movie
S1-8
3A, 6B, S3, S4B, S10
3A, S3
S4B
6B, S10
Table S4. List of parameters used in the model.
Estimated range in the literature
Parameters
Value used in the model References
𝐷", 𝐷#, 𝐷$,
𝐷"#, 𝐷"#$
0.1 – 20 µm2/s
𝑘%
𝑟%
𝑅𝑇𝑜𝑡𝑎𝑙
𝛾
𝑘"#
𝑟"#
𝑘"#$
𝑟"#$
𝛽
𝑏
𝑛
𝐾
𝛿’()
𝑟’()
0.00168 – 0.0438 nM-1min-1
0.018 – 0.09 min-1
0.0375 – 2.7 nM (corresponding to 18 –
1300 molecules/µm2 and a 800 µm
Matrigel layer on the cell surface)
0.00693 – 0.173 min-1 (corresponding to
t1/2 of 4 – 100 min)
0.0168 – 0.0234x10-2 nM-1min-1
15 µm2/s
0.00326 nM-1min-1
(fitted within literature
range)
0.09 min-1 (fitted within
literature range)
0.57 nM (fitted within
literature range)
0.00693 min-1 (fitted
within literature range)
0.018 nM-1min-1
(33, 34,
76, 77)
(78–81)
(78–81)
(82, 83)
(84–92)
(58, 93)
(58, 93)
0.003 – 0.204 min-1
0.06 min-1
N/A
0.0554 – 0.9 min-1 (corresponding to
Chordin-Twsg1 dissociation constant
ranging 3.08 – 50 nM, calculated by
chosen kBCT)
N/A
N/A
N/A
N/A
0.000481 min-1 (corresponding to t1/2 of 24
hr)
N/A
0.018 nM-1min-1 *
N/A
0.0554 min-1
(40, 71)
0.002 (basal) – 0.01
(fully induced) min-1 #
N/A
15.8 a.u./min (fitted)
N/A
1.4 (fitted)
0.0126 nM (fitted)
0.000481 min-1
N/A
N/A
(70)
0.00385 min-1
(corresponding to t1/2 of
3 hr)
Fig. S1.
* Lacking direct measurements of 𝑘"#$, we set it arbitrarily to the same value as 𝑘"#, which lies
within the diffusion limited range. We also verified that major conclusions are not sensitive to its
precise value (Fig. S6).
# Twsg has been shown to enhance Chordin cleavage by BMP-1 (18, 74), but we did not find a
good estimate of the magnitude of this effect. We set the cleavage rate to be the same for Chordin
with or without Twsg, but also verified that major conclusions are not sensitive to whether cleavage
rates are set to be the same or not (Fig. S6).
Movie S1. One replicate of the time-lapse movie of BMP4 gradients in the no induction condition.
Movie S2. One replicate of the time-lapse movie of Receiver-B1 cells turning on Citrine
fluorescence after the addition of 5 ng/ml rBMP4.
Movie S3. One replicate of the time-lapse movie of Receiver-B1 cells turning on Citrine
fluorescence after the addition of 10 ng/ml rBMP4.
Movie S4. One replicate of the time-lapse movie of Receiver-B1 cells turning on Citrine
fluorescence after the addition of 20 ng/ml rBMP4.
Movie S5. One replicate of the time-lapse movie of BMP4 gradients in the 4 µM 4-OHT only
condition.
Movie S6. Another replicate of the time-lapse movie of BMP4 gradients in the 4 µM 4-OHT only
condition.
Movie S7. One replicate of the time-lapse movie of BMP4 gradients in the 4 µM 4-OHT + 30
ng/ml Dox condition.
Movie S8. One replicate of the time-lapse movie of BMP4 gradients in the 4 µM 4-OHT + 30
ng/ml Dox + 10 nM rTwsg1 + 500 µM ABA condition.
REFERENCES AND NOTES
1. G. Struhl, K. Struhl, P. M. Macdonald, The gradient morphogen bicoid is a concentration-dependent
transcriptional activator. Cell 57, 1259–1273 (1989).
2. W. Driever, C. Nüsslein-Volhard, A gradient of bicoid protein in Drosophila embryos. Cell 54, 83–93
(1988).
3. W. Driever, C. Nüsslein-Volhard, The bicoid protein determines position in the Drosophila embryo in a
concentration-dependent manner. Cell 54, 95–104 (1988).
4. A. M. Turing, The chemical basis of morphogenesis. Philos. Trans. R. Soc. Lond., B, Biol. Sci. 237, 37–
72 (1952).
5. K. A. Wharton, R. P. Ray, W. M. Gelbart, An activity gradient of decapentaplegic is necessary for the
specification of dorsal pattern elements in the Drosophila embryo. Development 117, 807–822 (1993).
6. L. Dale, F. C. Wardle, A gradient of BMP activity specifies dorsal–ventral fates in early Xenopus
embryos. Semin. Cell Dev. Biol. 10, 319–326 (1999).
7. L. Marchant, C. Linker, P. Ruiz, N. Guerrero, R. Mayor, The inductive properties of mesoderm suggest
that the neural crest cells are specified by a BMP gradient. Dev. Biol. 198, 319–329 (1998).
8. J. Raspopovic, L. Marcon, L. Russo, J. Sharpe, Digit patterning is controlled by a Bmp-Sox9-Wnt
Turing network modulated by morphogen gradients. Science 345, 566–570 (2014).
9. H. Spemann, Embryonic Development and Induction (Taylor & Francis, 1988).
10. D. Ben-Zvi, B.-Z. Shilo, A. Fainsod, N. Barkai, Scaling of the BMP activation gradient in Xenopus
embryos. Nature 453, 1205–1211 (2008).
11. H. Inomata, T. Shibata, T. Haraguchi, Y. Sasai, Scaling of dorsal-ventral patterning by embryo size-
dependent degradation of spemann’s organizer signals. Cell 153, 1296–1311 (2013).
12. C. E. Peluso, D. Umulis, Y.-J. Kim, M. B. O’Connor, M. Serpe, Shaping BMP morphogen gradients
through enzyme-substrate interactions. Dev. Cell 21, 375–383 (2011).
13. D. Umulis, M. B. O’Connor, S. S. Blair, The extracellular regulation of bone morphogenetic protein
signaling. Development 136, 3715–3728 (2009).
14. E. Bier, E. M. De Robertis, EMBRYO DEVELOPMENT. BMP gradients: A paradigm for
morphogen-mediated developmental patterning. Science 348, aaa5838 (2015).
15. S. Piccolo, Y. Sasai, B. Lu, E. M. De Robertis, Dorsoventral patterning in Xenopus: Inhibition of
ventral signals by direct binding of chordin to BMP-4. Cell 86, 589–598 (1996).
16. J. J. Ross, O. Shimmi, P. Vilmos, A. Petryk, H. Kim, K. Gaudenz, S. Hermanson, S. C. Ekker, M. B.
O’Connor, J. L. Marsh, Twisted gastrulation is a conserved extracellular BMP antagonist. Nature 410,
479–483 (2001).
17. C. Chang, D. A. Holtzman, S. Chau, T. Chickering, E. A. Woolf, L. M. Holmgren, J. Bodorova, D. P.
Gearing, W. E. Holmes, A. H. Brivanlou, Twisted gastrulation can function as a BMP antagonist.
Nature 410, 483–487 (2001).
18. I. C. Scott, I. L. Blitz, W. N. Pappano, S. A. Maas, K. W. Cho, D. S. Greenspan, Homologues of
twisted gastrulation are extracellular cofactors in antagonism of BMP signalling. Nature 410, 475–478
(2001).
19. O. Shimmi, M. B. O’Connor, Physical properties of Tld, Sog, Tsg and Dpp protein interactions are
predicted to help create a sharp boundary in Bmp signals during dorsoventral patterning of the
Drosophila embryo. Development 130, 4673–4682 (2003).
20. A. Eldar, R. Dorfman, D. Weiss, H. Ashe, B.-Z. Shilo, N. Barkai, Robustness of the BMP morphogen
gradient in Drosophila embryonic patterning. Nature 419, 304–308 (2002).
21. B.-Z. Shilo, M. Haskel-Ittah, D. Ben-Zvi, E. D. Schejter, N. Barkai, Creating gradients by morphogen
shuttling. Trends Genet. 29, 339–347 (2013).
22. M. B. O’Connor, D. Umulis, H. G. Othmer, S. S. Blair, Shaping BMP morphogen gradients in the
Drosophila embryo and pupal wing. Development 133, 183–193 (2006).
23. I. C. Scott, I. L. Blitz, W. N. Pappano, Y. Imamura, T. G. Clark, B. M. Steiglitz, C. L. Thomas, S. A.
Maas, K. Takahara, K. W. Cho, D. S. Greenspan, Mammalian BMP-1/Tolloid-related
metalloproteinases, including novel family member mammalian Tolloid-like 2, have differential
enzymatic activities and distributions of expression relevant to patterning and skeletogenesis. Dev. Biol.
213, 283–300 (1999).
24. M. Serpe, D. Umulis, A. Ralston, J. Chen, D. J. Olson, A. Avanesov, H. Othmer, M. B. O’Connor, S.
S. Blair, The BMP-binding protein Crossveinless 2 is a short-range, concentration-dependent, biphasic
modulator of BMP signaling in Drosophila. Dev. Cell 14, 940–953 (2008).
25. A. Ralston, S. S. Blair, Long-range Dpp signaling is regulated to restrict BMP signaling to a crossvein
competent zone. Dev. Biol. 280, 187–200 (2005).
26. L. Zakin, C. A. Metzinger, E. Y. Chang, C. Coffinier, E. M. De Robertis, Development of the vertebral
morphogenetic field in the mouse: Interactions between Crossveinless-2 and Twisted Gastrulation. Dev.
Biol. 323, 6–18 (2008).
27. L. Zakin, E. Y. Chang, J.-L. Plouhinec, E. M. De Robertis, Crossveinless-2 is required for the
relocalization of Chordin protein within the vertebral field in mouse embryos. Dev. Biol. 347, 204–215
(2010).
28. B. Reversade, E. M. De Robertis, Regulation of ADMP and BMP2/4/7 at opposite embryonic poles
generates a self-regulating morphogenetic field. Cell 123, 1147–1160 (2005).
29. S. Matsuda, O. Shimmi, Directional transport and active retention of Dpp/BMP create wing vein
patterns in Drosophila. Dev. Biol. 366, 153–162 (2012).
30. C. M. Mizutani, Q. Nie, F. Y. M. Wan, Y.-T. Zhang, P. Vilmos, R. Sousa-Neves, E. Bier, J. L. Marsh,
A. D. Lander, Formation of the BMP activity gradient in the Drosophila embryo. Dev. Cell 8, 915–924
(2005).
31. O. Shimmi, D. Umulis, H. Othmer, M. B. O’Connor, Facilitated transport of a Dpp/Scw heterodimer
by Sog/Tsg leads to robust patterning of the Drosophila blastoderm embryo. Cell 121, 493 (2005).
32. Y.-C. Wang, E. L. Ferguson, Spatial bistability of Dpp–receptor interactions during Drosophila
dorsal–ventral patterning. Nature 434, 229–234 (2005).
33. J. Zinski, Y. Bu, X. Wang, W. Dou, D. Umulis, M. C. Mullins, Systems biology derived source-sink
mechanism of BMP gradient formation. eLife 6, e22199 (2017).
34. A. P. Pomreinke, G. H. Soh, K. W. Rogers, J. K. Bergmann, A. J. Bläßle, P. Müller, Dynamics of BMP
signaling and distribution during zebrafish dorsal-ventral patterning. eLife 6, e25861 (2017).
35. M. Oelgeschläger, J. Larraín, D. Geissert, E. M. De Robertis, The evolutionarily conserved BMP-
binding protein Twisted gastrulation promotes BMP signalling. Nature 405, 757–763 (2000).
36. S. Piccolo, E. Agius, B. Lu, S. Goodman, L. Dale, E. M. De Robertis, Cleavage of Chordin by Xolloid
metalloprotease suggests a role for proteolytic processing in the regulation of Spemann organizer
activity. Cell 91, 407–416 (1997).
37. J. Larrain, D. Bachiller, B. Lu, E. Agius, S. Piccolo, E. M. De Robertis, BMP-binding modules in
chordin: A model for signalling regulation in the extracellular space. Development 127, 821–830 (2000).
38. H. Troilo, A. L. Barrett, A. V. Zuk, M. P. Lockhart-Cairns, A. P. Wohl, C. P. Bayley, R. Dajani, R. B.
Tunnicliffe, L. Green, T. A. Jowitt, G. Sengle, C. Baldock, Structural characterization of twisted
gastrulation provides insights into opposing functions on the BMP signalling pathway. Matrix Biol. 55,
49–62 (2016).
39. P. Li, J. S. Markson, S. Wang, S. Chen, V. Vachharajani, M. B. Elowitz, Morphogen gradient
reconstitution reveals Hedgehog pathway design principles. Science 360, 543–548 (2018).
40. R. Sekine, T. Shibata, M. Ebisuya, Synthetic mammalian pattern formation driven by differential
diffusivity of Nodal and Lefty. Nat. Commun. 9, 5456 (2018).
41. H. Yano, H. Uchida, T. Iwasaki, M. Mukai, H. Akedo, K. Nakamura, S. Hashimoto, H. Sabe, Paxillin
α and Crk-associated substrate exert opposing effects on cell migration and contact inhibition of growth
through tyrosine phosphorylation. Proc. Natl. Acad. Sci. 97, 9076–9081 (2000).
42. Y. E. Antebi, J. M. Linton, H. Klumpe, B. Bintu, M. Gong, C. Su, R. McCardell, M. B. Elowitz,
Combinatorial signal perception in the BMP pathway. Cell 170, 1184–1196.e24 (2017).
43. H. E. Klumpe, M. A. Langley, J. M. Linton, C. J. Su, Y. E. Antebi, M. B. Elowitz, The context-
dependent, combinatorial logic of BMP signaling. Cell Syst. 13, 388–407.e10 (2022).
44. S. S. Gerety, M. A. Breau, N. Sasai, Q. Xu, J. Briscoe, D. G. Wilkinson, An inducible transgene
expression system for zebrafish and chick. Development 140, 2235–2243 (2013).
45. F.-S. Liang, W. Q. Ho, G. R. Crabtree, Engineering the ABA plant stress pathway for regulation of
induced proximity. Sci. Signal. 4, rs2 (2011).
46. A. D. Lander, Q. Nie, F. Y. M. Wan, Do morphogen gradients arise by diffusion? Dev. Cell 2, 785–
796 (2002).
47. M. Paulsen, S. Legewie, R. Eils, E. Karaulanov, C. Niehrs, Negative feedback in the bone
morphogenetic protein 4 (BMP4) synexpression group governs its dynamic signaling range and
canalizes development. Proc. Natl. Acad. Sci. U.S.A. 108, 10202–10207 (2011).
48. L. Zakin, E. M. De Robertis, Extracellular regulation of BMP signaling. Curr. Biol. 20, R89–R92
(2010).
49. P. Tiwari, H. Rengarajan, T. E. Saunders, Scaling of internal organs during Drosophila embryonic
development. Biophys. J. 120, 4264–4276 (2021).
50. R. Mateus, L. Holtzer, C. Seum, Z. Hadjivasiliou, M. Dubois, F. Jülicher, M. Gonzalez-Gaitan, BMP
signaling gradient scaling in the zebrafish pectoral fin. Cell Rep. 30, 4292–4302.e7 (2020).
51. J.-L. Plouhinec, L. Zakin, Y. Moriyama, E. M. De Robertis, Chordin forms a self-organizing
morphogen gradient in the extracellular space between ectoderm and mesoderm in the Xenopus embryo.
Proc. Natl. Acad. Sci. 110, 20372–20379 (2013).
52. T. Kurata, J. Nakabayashi, T. S. Yamamoto, M. Mochii, N. Ueno, Visualization of endogenous BMP
signaling during Xenopus development. Differentiation 67, 33–40 (2001).
53. J. Tucker, K. Mintzer, M. Mullins, The BMP signaling gradient patterns dorsoventral tissues in a
temporally progressive manner along the anteroposterior axis. Dev. Cell 14, 108–119 (2008).
54. M.-C. Ramel, C. S. Hill, The ventral to dorsal BMP activity gradient in the early zebrafish embryo is
determined by graded expression of BMP ligands. Dev. Biol. 378, 170–182 (2013).
55. H. Troilo, A. V. Zuk, R. B. Tunnicliffe, A. P. Wohl, R. Berry, R. F. Collins, T. A. Jowitt, G. Sengle, C.
Baldock, Nanoscale structure of the BMP antagonist chordin supports cooperative BMP binding. Proc.
Natl. Acad. Sci. U.S.A. 111, 13063–13068 (2014).
56. P. Blader, S. Rastegar, N. Fischer, U. Strähle, Cleavage of the BMP-4 antagonist chordin by zebrafish
tolloid. Science 278, 1937–1940 (1997).
57. R. W. Padgett, J. M. Wozney, W. M. Gelbart, Human BMP sequences can confer normal dorsal-
ventral patterning in the Drosophila embryo. Proc. Natl. Acad. Sci. U.S.A. 90, 2905–2909 (1993).
58. T. K. Sampath, K. E. Rashka, J. S. Doctor, R. F. Tucker, F. M. Hoffmann, Drosophila transforming
growth factor beta superfamily proteins induce endochondral bone formation in mammals. Proc. Natl.
Acad. Sci. U.S.A. 90, 6004–6008 (1993).
59. G. Marqués, M. Musacchio, M. J. Shimell, K. Wünnenberg-Stapleton, K. W. Cho, M. B. O’Connor,
Production of a DPP activity gradient in the early Drosophila embryo through the opposing actions of
the SOG and TLD proteins. Cell 91, 417–426 (1997).
60. A. Madamanchi, M. C. Mullins, D. M. Umulis, Diversity and robustness of bone morphogenetic
protein pattern formation. Development 148, dev192344 (2021).
61. H. L. Ashe, M. Levine, Local inhibition and long-range enhancement of Dpp signal transduction by
Sog. Nature 398, 427–431 (1999).
62. L. Wolpert, Positional information and the spatial pattern of cellular differentiation. J. Theor. Biol. 25,
1–47 (1969).
63. K. Miyazono, Y. Kamiya, M. Morikawa, Bone morphogenetic protein receptors and signal
transduction. J. Biochem. 147, 35–51 (2009).
64. A. Bandyopadhyay, K. Tsuji, K. Cox, B. D. Harfe, V. Rosen, C. J. Tabin, Genetic analysis of the roles
of BMP2, BMP4, and BMP7 in limb patterning and skeletogenesis. PLOS Genet. 2, e216 (2006).
65. K.-S. Choi, C. Lee, D. M. Maatouk, B. D. Harfe, Bmp2, Bmp4 and Bmp7 are co-required in the mouse
AER for normal digit patterning but not limb outgrowth. PLOS ONE 7, e37826 (2012).
66. D. Ben-Zvi, A. Fainsod, B.-Z. Shilo, N. Barkai, Scaling of dorsal-ventral patterning in the Xenopus
laevis embryo. Bioessays 36, 151–156 (2014).
67. N. Kitsera, A. Khobta, B. Epe, Destabilized green fluorescent protein detects rapid removal of
transcription blocks after genotoxic exposure. Biotechniques 43, 222–227 (2007).
68. J.-L. Zhang, Y. Huang, L.-Y. Qiu, J. Nickel, W. Sebald, Von Willebrand factor type C domain-
containing proteins regulate bone morphogenetic protein signaling through different recognition
mechanisms. J. Biol. Chem. 282, 20002–20014 (2007).
69. A. Hartung, K. Bitton-Worms, M. M. Rechtman, V. Wenzel, J. H. Boergermann, S. Hassel, Y. I.
Henis, P. Knaus, Different routes of bone morphogenic protein (BMP) receptor endocytosis influence
BMP signaling. Mol. Cell. Biol. 26, 7791–7805 (2006).
70. M. Schlosshauer, D. Baker, Realistic protein-protein association rates from a simple diffusional model
neglecting long-range interactions, free energy barriers, and landscape ruggedness. Protein Sci. 13,
1660–1669 (2004).
71. J. Larraín, M. Oelgeschläger, N. I. Ketpura, B. Reversade, L. Zakin, E. M. De Robertis, Proteolytic
cleavage of Chordin as a switch for the dual activities of Twisted gastrulation in BMP signaling.
Development 128, 4439–4447 (2001).
72. J. Miyazaki, S. Takaki, K. Araki, F. Tashiro, A. Tominaga, K. Takatsu, K. Yamamura, Expression
vector system based on the chicken β-actin promoter directs efficient production of interleukin-5. Gene
79, 269–277 (1989).
73. S. Zhou, W.-C. Lo, J. L. Suhalim, M. A. Digman, E. Gratton, Q. Nie, A. D. Lander, Free extracellular
diffusion creates the Dpp morphogen gradient of the Drosophila wing disc. Curr. Biol. 22, 668–675
(2012).
74. A. Kicheva, P. Pantazis, T. Bollenbach, Y. Kalaidzidis, T. Bittig, F. Jülicher, M. González-Gaitán,
Kinetics of morphogen gradient formation. Science 315, 521–525 (2007).
75. T. Kirsch, J. Nickel, W. Sebald, BMP-2 antagonists emerge from alterations in the low-affinity binding
epitope for receptor BMPR-II. EMBO J. 19, 3314–3324 (2000).
76. S. Saremba, J. Nickel, A. Seher, A. Kotzsch, W. Sebald, T. D. Mueller, Type I receptor binding of
bone morphogenetic protein 6 is dependent on N-glycosylation of the ligand. FEBS J. 275, 172–183
(2008).
77. T. Hatta, H. Konishi, E. Katoh, T. Natsume, N. Ueno, Y. Kobayashi, T. Yamazaki, Identification of the
ligand-binding site of the BMP type IA receptor for BMP-4. Biopolymers 55, 399–406 (2000).
78. V. Khodr, P. Machillot, E. Migliorini, J.-B. Reiser, C. Picart, High-throughput measurements of bone
morphogenetic protein/bone morphogenetic protein receptor interactions using biolayer interferometry.
Biointerphases 16, 031001 (2021).
79. Y. Chen, A. C. Munteanu, Y.-F. Huang, J. Phillips, Z. Zhu, M. Mavros, W. Tan, Mapping receptor
density on live cells by using fluorescence correlation spectroscopy. Chemistry 15, 5327–5336 (2009).
80. A. F. Eckert, P. Gao, J. Wesslowski, X. Wang, J. Rath, K. Nienhaus, G. Davidson, G. U. Nienhaus,
Measuring ligand-cell surface receptor affinities with axial line-scanning fluorescence correlation
spectroscopy. eLife 9, e55286 (2020).
81. A. L. Schwartz, S. E. Fridovich, H. F. Lodish, Kinetics of internalization and recycling of the
asialoglycoprotein receptor in a hepatoma cell line. J. Biol. Chem. 257, 4230–4237 (1982).
82. A. Ciechanover, A. L. Schwartz, A. Dautry-Varsat, H. F. Lodish, Kinetics of internalization and
recycling of transferrin and the transferrin receptor in a human hepatoma cell line. Effect of
lysosomotropic agents. J. Biol. Chem. 258, 9681–9689 (1983).
83. A. L. Schwartz, A. Bolognesi, S. E. Fridovich, Recycling of the asialoglycoprotein receptor and the
effect of lysosomotropic amines in hepatoma cells. J. Cell Biol. 98, 732–738 (1984).
84. G. J. Strous, A. Du Maine, J. E. Zijderhand-Bleekemolen, J. W. Slot, A. L. Schwartz, Effect of
lysosomotropic amines on the secretory pathway and on the recycling of the asialoglycoprotein receptor
in human hepatoma cells. J. Cell Biol. 101, 531–539 (1985).
85. W. M. Pardridge, A. J. Van Herle, R. T. Naruse, G. Fierer, A. Costin, In vivo quantification of
receptor-mediated uptake of asialoglycoproteins by rat liver. J. Biol. Chem. 258, 990–994 (1983).
86. P. R. Dragsten, D. B. Mitchell, G. Covert, T. Baker, Drug delivery using vesicles targeted to the
hepatic asialoglycoprotein receptor. Biochim. Biophys. Acta. 926, 270–279 (1987).
87. C. T. H. Jonker, C. Deo, P. J. Zager, A. N. Tkachuk, A. M. Weinstein, E. Rodriguez-Boulan, L. D.
Lavis, R. Schreiner, Accurate measurement of fast endocytic recycling kinetics in real time. J. Cell Sci.
133, jcs231225 (2019).
88. S. N. Roed, P. Wismann, C. R. Underwood, N. Kulahin, H. Iversen, K. A. Cappelen, L. Schäffer, J.
Lehtonen, J. Hecksher-Soerensen, A. Secher, J. M. Mathiesen, H. Bräuner-Osborne, J. L. Whistler, S.
M. Knudsen, M. Waldhoer, Real-time trafficking and signaling of the glucagon-like peptide-1 receptor.
Mol. Cell. Endocrinol. 382, 938–949 (2014).
89. K. M. Mayle, A. M. Le, D. T. Kamei, The intracellular trafficking pathway of transferrin. Biochim.
Biophys. Acta. 1820, 264–281 (2012).
90. F. Rentzsch, J. Zhang, C. Kramer, W. Sebald, M. Hammerschmidt, Crossveinless 2 is an essential
positive feedback regulator of Bmp signaling during zebrafish gastrulation. Development 133, 801–811
(2006).
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10.1088_1361-6579_ad0f70.pdf
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Data availability statement
The data cannot be made publicly available upon publication because they contain commercially sensitive
information. The data that support the findings of this study are available upon reasonable request from the
authors.
|
Data availability statement The data cannot be made publicly available upon publication because they contain commercially sensitive information. The data that support the findings of this study are available upon reasonable request from the authors.
|
RECEIVED
10 October 2023
ACCEPTED FOR PUBLICATION
23 November 2023
PUBLISHED
11 December 2023
Physiol. Meas. 44 (2023) 125002
https://doi.org/10.1088/1361-6579/ad0f70
PAPER
Magnetocardiography-based coronary artery disease severity
assessment and localization using spatiotemporal features
, Jiaojiao Pang3,4,5,∗, Dong Xu6, Ruizhe Wang1,2, Fei Xie3,4,5, Yanfei Yang1,2, Jiguang Sun7,
Xiaole Han1,2
Yu Li3,4,5, Ruochuan Li3,4,5, Xiaofei Yin3,4,5, Yansong Xu3,4,5, Jiaxin Fan3,4,5, Yiming Dong3,4,5, Xiaohui Wu3,4,5,
Xiaoyun Yang3,5,8, Dexin Yu3,5,9, Dawei Wang3,5,9, Yang Gao1,2,6,10
Jinji Sun1,2,6,11,10
1 Key Laboratory of Ultra-Weak Magnetic Field Measurement Technology, Ministry of Education, School of Instrumentation and
, Yuguo Chen3,4,5,∗ and Xiaolin Ning1,2,6,11,10
, Min Xiang1,2,6,11,10,∗
, Feng Xu3,4,5,
Optoelectronic Engineering, Beihang University, People’s Republic of China
2 Zhejiang Provincial Key Laboratory of Ultra-Weak Magnetic-Field Space and Applied Technology, Hangzhou Innovation Institute,
Beihang University, Hangzhou 310051, People’s Republic of China
3 Shandong Key Laboratory for Magnetic Field-free Medicine & Functional Imaging, Institute of Magnetic Field-free Medicine &
Functional Imaging, Shandong University, People’s Republic of China
4 Department of Emergency Medicine, Qilu Hospital of Shandong University, Shandong Provincial Clinical Research Center for
Emergency and Critical Care Medicine, People’s Republic of China
5 National Innovation Platform for Industry-Education Intearation in Medicine-Engineering Interdisciplinary, Shandong University,
People’s Republic of China
6 National Institute of Extremely-Weak Magnetic Field Infrastructure, Hangzhou, People’s Republic of China
7 Hangzhou Nuochi Life Science Co., Ltd, People’s Republic of China
8 Department of Gastroenterology, Qilu Hospital of Shandong University, Shandong Provincial Clinical Research Center for Digestive
Disease, People’s Republic of China
9 Department of Radiology, Qilu Hospital of Shandong University, People’s Republic of China
10 Institute of Large-Scale Scientific Facility and Centre for Zero Magnetic Field Science, Beihang University, People’s Republic of China
11 Hefei National Laboratory, People’s Republic of China
∗ Authors to whom any correspondence should be addressed.
E-mail: jiaojiaopang@email.sdu.edu.cn, xiang_min@buaa.edu.cn and chen919085@sdu.edu.cn
Keywords: coronary artery disease, disease severity and location, feature extraction, magnetocardiography, machine learning
Supplementary material for this article is available online
Abstract
Objective. This study aimed to develop an automatic and accurate method for severity assessment and
localization of coronary artery disease (CAD) based on an optically pumped magnetometer
magnetocardiography (MCG) system. Approach. We proposed spatiotemporal features based on the
MCG one-dimensional signals, including amplitude, correlation, local binary pattern, and shape
features. To estimate the severity of CAD, we classified the stenosis as absence or mild, moderate, or
severe cases and extracted a subset of features suitable for assessment. To localize CAD, we classified
CAD groups according to the location of the stenosis, including the left anterior descending artery
(LAD), left circumflex artery (LCX), and right coronary artery (RCA), and separately extracted a subset
of features suitable for determining the three CAD locations. Main results. For CAD severity
assessment, a support vector machine (SVM) achieved the best result, with an accuracy of 75.1%,
precision of 73.9%, sensitivity of 67.0%, specificity of 88.8%, F1-score of 69.8%, and area under the
curve of 0.876. The highest accuracy and corresponding model for determining locations LAD, LCX,
and RCA were 94.3% for the SVM, 84.4% for a discriminant analysis model, and 84.9% for the
discriminant analysis model. Significance. The developed method enables the implementation of an
automated system for severity assessment and localization of CAD. The amplitude and correlation
features were key factors for severity assessment and localization. The proposed machine learning
method can provide clinicians with an automatic and accurate diagnostic tool for interpreting MCG
data related to CAD, possibly promoting clinical acceptance.
© 2023 Institute of Physics and Engineering in Medicine
Physiol. Meas. 44 (2023) 125002
1. Introduction
X Han et al
Coronary artery disease (CAD) is a leading cause of cardiovascular mortality and morbidity worldwide. Acute
chest pain is the most common symptom of CAD (Xiao et al 2021). Approximately one-third of adults in the
United States of America have some form of CAD, with more than 17 million suffering from CAD and nearly 10
million suffering from angina (Shin et al 2018, Tsao et al 2023). Some patients with CAD either experience
atypical symptoms or present normal physical conditions, thus requiring further testing to detect CAD. The 12-
lead electrocardiography (ECG) examination is the most common non-invasive technique for CAD detection.
However, more than one-third of patients with acute coronary syndrome present normal results, which may
represent an acute and severe manifestation of CAD (Roffi et al 2016). When troponin is used for diagnosis,
many patients with acute coronary syndrome exhibit normal troponin levels early in the disease. The gold
standard for diagnosing CAD is coronary angiography, which allows for determining the severity and location of
CAD; however, its high cost and invasiveness make it difficult to use as a routine diagnostic tool. CAD is
preventable, and early diagnosis and appropriate intervention are essential to reduce mortality.
Magnetocardiography (MCG) is a non-invasive and passive technique that detects weak magnetic fields
generated by the heart’s electrical activity (Stratbucker et al 1963). The main types of magnetometers are
superconducting quantum interference devices (SQUIDs) and optically pumped magnetometers (OPMs).
Compared with SQUIDs, OPM-based MCG features a small sensor array, light-weight, portable measurement
ability, and room-temperature operation (Boto et al 2017, Hill et al 2019, Hill et al 2020, Yang et al 2021) as well
as higher sensitivity and lower cost, rendering it more promising for clinical applications.
Both ECG and MCG are functional examinations. Compared with the conventional 12-lead ECG, MCG
enables non-contact measurements and has a higher sensitivity to tangential and eddy current signals caused by
damaged myocardial tissue (Dutz et al 2006), and arrayed multichannel sensors achieve a higher spatial
resolution (Tavarozzi et al 2002, Fenici et al 2003), thereby improving the acquisition of functional information
from the heart (Smith et al 2007). Although MCG allows for the sensitive acquisition of functional signals from
the heart, signal interpretation is time-consuming and requires experienced professionals, thus limiting its
widespread clinical application. Therefore, automated MCG signal processing and disease detection may
substantially improve clinical acceptance.
With the maturing of machine learning algorithms, numerous researchers are introducing them into MCG
and ECG research for tasks such as automated disease detection. The acute coronary syndrome was detected
using 554 features extracted from 12-lead ECG examinations along with logistic regression, gradient boosting
machine, and artificial neural network models, obtaining a sensitivity of 77%, specificity of 76%, positive
predictive value of 43%, and negative predictive value of 94% (Al-Zaiti et al 2020). A logistic regression model
was developed based on induction coil magnetometers using 10 features and diagnosed ischemic heart disease
with a sensitivity of 95.4%, specificity of 35.0%, and negative predictive value of 97.8% (Mooney et al 2017,
Ghasemi-Roudsari et al 2018). Six machine learning models based on SQUIDs were used to identify ischemic
heart disease, and a back-propagation neural network achieved the highest performance with an accuracy of
78.43%, specificity of 68.18%, and sensitivity of 86.21% (Yosawin et al 2010). CAD detection in patients with
chest pain was proposed using 10 two-dimensional (2D) MCG features and a multilayer perceptron based on
SQUIDs, achieving an accuracy of 90.0%, sensitivity of 91.4%, and specificity of 87.7% (Xiao et al 2021). An
automatic classification system for CAD based on SQUIDs MCG information entropy was proposed using a
multilayer perceptron based on linear discriminant analysis to classify 10 patients with coronary stenosis,
achieving a sensitivity of 99%, specificity of 97%, accuracy of 98%, positive predictive value of 96%, and negative
predictive value of 99% (Steinisch et al 2013). Using 164 MCG features based on SQUIDs and a support vector
machine (SVM)—an extreme gradient boosting model for ischemic heart disease detection was proposed with
an accuracy of 94.03%. Furthermore, 18 time-domain 2D features were extracted to localize ischemic heart
disease with accuracies of 74%, 68%, and 65% for detection at the left anterior descending artery (LAD), left
circumflex artery (LCX), and right coronary artery (RCA), respectively (Tao et al 2019).
Previous studies have shown promising results for the automated detection of cardiovascular disease.
However, some problems remain to be addressed. First, MCG features are mainly extracted from 2D maps, with
features extracted from one-dimensional (1D) signals being mostly neglected, particularly regarding the
sensitivity assessment of features from different channels. In addition, previous studies have focused on T-wave
MCG features, consequently discarding the effects of other waves. Moreover, in clinical situations, physicians
must determine the treatment modality based on the severity of CAD. However, existing methods can only
detect CAD but cannot estimate its severity. Finally, although models to localize CAD are available, their
performance is low and far from meeting clinical applicability.
In this study, we developed a system for severity assessment and localization of CAD using OPM-based
MCG. The proposed system utilizes spatiotemporal features of 1D MCG signals, including amplitude,
correlation, local binary pattern (LBP), and shape features. We modeled CAD severity assessment and
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Figure 1. Photographs of the OPM-based MCG system. (a) position of the OPMs array relative to the thorax of the subject, (b)
arrangement of 36 OPMs.
localization using both conventional and the proposed MCG features, respectively, and compared their
effectiveness. In addition, we analyzed the proposed features used for modeling.
2. Materials
Figure 1(a) shows the OPM-based MCG system used in this study. This consisted of a semi-open magnetic
shielded enclosure, an OPMs array, a magnetic-free bed, and data acquisition device (Han et al 2023). The
system noise floor was 7–10 fT/Hz1/2. The operational dynamic range was ±5 nT. The relative position between
the sensor array and the subject remained fixed, including the sensor array lower edge center alignment with the
xiphoid process of the subject and the vertical distance between the sensor array and the subject’s thorax (2 cm).
Figure 1(b) depicts the arrangement of 36 OPMs, spanning a 275 × 275 mm area for acquisition at a 1000 Hz
sampling frequency. The OPMs detected the magnetic field signal along the Z axis, which was perpendicular to
the sensor array. For each subject, MCG data were collected for a period of 3 min.
A dataset was constructed from a prospective study of cardiovascular disease at the Qilu Hospital of
Shandong University. All the enrolled subjects underwent coronary angiography or computed tomography
angiography (CTA), and each subject had detailed medical records. Data on cardiovascular disease were
collected and recorded using an OPM-based MCG system from 402 patients with symptoms of chest pain. A
total of 93 cases were excluded based on the inclusion criteria, and 309 cases were enrolled. Among the excluded
cases, 67 cases showed other medical conditions, 14 cases had non-removable metal implants in the body, and 12
cases did not have the correct MCG data. The 309 enrolled patients included 70 with stable angina, 208 with
unstable angina, 13 with ST-segment elevation myocardial infarction, and 18 with non-ST-segment elevation
myocardial infarction. The data from the 309 patients included 257 cases of coronary stenosis and 52 cases
without coronary stenosis. In addition, 117 patients underwent CTA, and 192 patients underwent coronary
angiography. Based on a coronary stenosis threshold of 50%, LAD (48 cases), LCX (6 cases), RCA (9 cases), LAD
and LCX (26 cases), LAD and RCA (21 cases), LCX and RCA (9 cases), and LAD, LCX, and RCA (93 cases)
stenoses were detected. Notably, patients commonly exhibited multiple stenoses in their coronary arteries.
3. Methods
3.1. System overview
Figure 2 shows the data processing flow of the CAD detection system. The raw MCG data were preprocessed to
obtain a signal with a high signal-to-noise ratio. Preprocessing included median filtering to remove baseline
noise, notch filtering to remove 50 Hz power frequency noise, lowpass filtering to remove high-frequency noise,
and superposition of the averaged heartbeats to remove common-mode noise. In addition, different heartbeat
waves (e.g. P, QRS, and T waves) were segmented for feature extraction. Subsequently, four types of MCG
features were extracted, and important feature subsets were selected for the system. Finally, the selected features
were fed into a machine learning model for severity assessment and localization of CAD. Hierarchical tenfold
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Figure 2. Overview of data processing for CAD detection system.
cross-validation was applied to improve the robustness of the system, with each fold containing approximately
the same proportion of grouped labels.
3.2. Feature extraction
3.2.1. Conventional features
The conventional MCG features are listed in table 1. Time, singular value decomposition (SVD), and amplitude
class features were extracted from the butterfly diagram. The most common features extracted from ECG are
time features, which mainly include the time intervals of P, QRS, and T waves and ST, PR, and QT segments.
These features mainly describe changes in different segments of a heartbeat over time (Seki et al 2008, Sutter et al
2020). SVD features depict the number of independent sources in a signal (Tao et al 2019). Amplitude features
are typically extracted from ECG to calculate ST segment amplitudes, and common statistical parameters
include the maximum value, range, mean, standard deviation, and amplitude area. In the magnetic field, the
features typically extracted are the vector amplitude and direction from the negative magnetic pole pointing
toward the positive magnetic pole (Beadle et al 2021) and the area ratio between positive and negative magnetic
fields (Chen et al 2014). In the current field, the maximum current vector (MCV) and the total current vector
(TCV) are extracted as features (Ogata et al 2009).
3.2.2. Proposed features
Based on the 36 channels of 1D MCG signals, four classes of MCG features were proposed, as listed in table 2.
The 36 OPM sensors in the MCG system and relative positions between the sensor array and the subject were
fixed, resulting in a constant Pearson linear correlation coefficient among the sensor signals for normal
individuals. As CAD damages the myocardium, the altered electrical conduction pathways in the damaged part
were reflected in the sensor array as alterations in the signal of each channel, thus changing the Pearson linear
correlation coefficient among the 36 channels. Figure 3(a) shows the MCG butterfly diagrams (Haberkorn et al
2006) of a healthy person and CAD patient, and figure 3(b) presents their 36-channel 1D MCG signals.
Figure 3(c) depicts the Pearson linear correlation coefficient of the 36-channel MCG signals in the T wave for the
two individuals. The Pearson linear correlation coefficient values and positions among the 36 channels
drastically differed between the healthy person and the CAD patient.
LBP is an operator used to describe the local texture of an image and is widely used in texture classification,
texture segmentation, and face image analysis (Prakasa 2016). We use LBP to describe the variation in the 1D
MCG signal by constructing histograms to determine the frequency values of binary patterns, where each
4
Table 1. Conventional MCG features for CAD detection system.
Map
Butterfly diagram
Class
Time
5
SVD
Amplitude
Magnetic field
Vector
Current field
Area
MCV
TCV
Feature
P wave time interval
QRS wave time interval
T wave time interval
ST segment time interval
PR segment time interval
QT segment time interval
SVD value
SVD entropy
Feature identifier
Time_P
Time_QRS
Time_T
Time_ST
Time_PR
Time_QT
SVD_Value#
SVD_Entropy#
Amp_Max
Amp_Range
Amp_Mean
Amp_SD
Amp_Area
Mag_Dir
Mag_Amp
Feature description
Number of features
SVD_Value# contains the top 8 singular values
SVD_Entropy# uses 8 singular values to calculate Shannon, Tsallis, and
Renyi entropy values
6
11 × 8
5 × 36 × 8
2
1
2
2
1,541
Maximum value of wave
Amplitude range of wave
Mean value of wave
Standard deviation of wave
Area of wave
Vector direction of negative magnetic pole pointing to the positive
magnetic pole at T-wave peak
Vector amplitude of negative magnetic pole pointing to the positive
magnetic pole at T-wave peak
Area ratio between positive and negative magnetic fields at T-wave peak
Maximum current vector direction at T-wave peak
Maximum current vector amplitude at T-wave peak
Total current vector direction at T-wave peak
Total current vector amplitude at T-wave peak
Mag_Area
MCV_Dir
MCV_Amp
TCV_Dir
TCV_Amp
Total number of features:
The numbers 36 and 8 represent the spatial dimension with 36 channels and temporal dimension with 8 waves (P, QRS, and T waves, ST, ST-T, PR, and QT segments, and the whole heartbeat), respectively.
P
h
y
s
i
o
l
.
M
e
a
s
.
4
4
(
2
0
2
3
)
1
2
5
0
0
2
X
H
a
n
e
t
a
l
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Figure 3. MCG signals and features of a healthy person (top) and CAD patient (bottom). (a) MCG butterfly diagram. (b) 36-channel
1D MCG signal. (c) Correlation features in T wave.
Table 2. Proposed MCG features for CAD detection system.
Map
Class
Feature
Feature identifier
Feature description
Butterfly
diagram
Correlation
LBP
Amplitude
Shape
Pearson linear correlation
coefficient of two-channel
waveforms
Bin values of LBP histogram
Bin values of wave histogram
Corr_channel#
Corr_channel# contains
630 combinations
LBP_Bin#
Amp_Bin#
LBP_Bin# contains 10 bins
Amp_ Bin# contains
10 bins
Kurtosis factor
Skewness factor
Waveform factor
Peak factor
Pulse factor
Margin factor
Volatility index
Wave_Kurtosis
Wave_Skewness
Wave_Waveform
Wave_Peak
Wave_Pulse
Wave_Margin
Wave_Volatility
Number of
features
630 × 8
10 × 36 × 8
10 × 36 × 8
7 × 36 × 8
The numbers 36 and 8 represent the spatial dimension with 36 channels and temporal dimension with 8 waves (P, QRS, and T waves, ST, ST-
T, PR, and QT segments, and the whole heartbeat), respectively.
Total number of features:
12,816
pattern represents the probability of finding a binary pattern in the image. The number of histogram bins is set to
10. Figure 4(a) shows LBP features calculated from the T-wave MCG data of a healthy person and CAD patient at
channel 1. The first and tenth bin values considerably differ, likely establishing the difference between the
healthy person and CAD patient.
We propose using the amplitude histogram as a statistical parameter to compute the amplitude features.
Figure 4(b) presents the amplitude features calculated from the T-wave MCG data of a healthy person and CAD
patient at channel 1. Ten bin values were distinguished between the individuals. The shape features were
extracted from the amplitude and shape changes between individuals as determined from the acquired MCG
data. Figure 4(c) depicts the shape features calculated from the T-wave MCG data of a healthy person and CAD
patient at channel 1. Seven shape features were distinguished between the individuals.
3.2.3. Fine-grained spatiotemporal features
We extracted fine-grained features in the spatiotemporal dimensions based on conventional and proposed
MCG features (butterfly diagrams). Fine-grained spatial features are defined by calculating the values for each
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Figure 4. MCG features of a healthy person and CAD patient. (a) LBP, (b) amplitude, and (c) shape features in the T wave.
channel instead of averaging across the 36 channels. The fine-grained spatial features are applied to amplitude,
shape, correlation, and LBP features. The representative features and channels differ, possibly promoting CAD
severity assessment and localization. Fine-grained temporal features are defined for different waves, including
the P, QRS, and T waves, ST, ST-T, PR, and QT segments, and the whole heartbeat. The fine-grained temporal
features are applied to the amplitude, SVD, shape, correlation, and LBP features. Furthermore, representative
features selected by the models are distributed in different waves, and waves other than the T wave benefit the
models. To consider the spatiotemporal dimensions, the total number of conventional and proposed MCG
features used were 1541 and 12 816, respectively.
Compared to the population size, the number of conventional and proposed features was enormous and
completely imbalanced. Therefore, an effective feature reduction was required (Patel et al 2022). Feature
selection reduces the dimensionality of the data by selecting only a subset of the measured features to build a
model. The main benefits of feature selection are improved model prediction performance, faster and cost-
effective feature subset, and improved data generation process understanding (Guyon and Elisseeff 2003,
Richards 2022). The feature selection process was performed prior to inputting the features into the
classification model. First, feature importance was evaluated using a feature selection algorithm, and the features
were sorted according to the importance score. Second, features with a large Pearson linear correlation
coefficient were removed (the threshold for the Pearson linear correlation coefficient was set at 0.55). Finally, the
number of selected features was 1/10 of the number of observations in the model. A hybrid feature selection
algorithm (Tasci et al 2023) was utilized this study because the obtained results were considered superior to those
obtained by separately utilizing filter and embedded feature selection algorithms. Initially, filter-type feature
selection, in particular, the Chi-square test (Thaseen et al 2019) was used, followed by embedded-type feature
selection which employs the linear discriminant analysis classifier.
3.3. Classification models
We evaluated six machine learning classification models: discriminant analysis, naïve Bayes, SVM, k-nearest
neighbors (KNN), boosting tree, and bagging tree models. The model with the best classification performance
was selected for severity assessment and localization of CAD.
Five metrics were calculated to evaluate the models based on the confusion matrix: accuracy, precision,
sensitivity, specificity, and F1-score. In addition, the receiver operating characteristic (ROC) curves were
obtained, and the AUC was calculated to assess the classification performance. Because CAD severity assessment
was a multi-label model, macro-average metrics were used for evaluation.
4. Results
To validate the effectiveness of the MCG features proposed in this study, we developed models utilizing
conventional MCG features (refer to table 1) and the proposed MCG features (refer to table 2) and then
compared the modeling metrics obtained from the two models.
4.1. CAD severity assessment
We used coronary angiography and CTA as references to determine the CAD severity. From CTA, we could only
estimate mild, moderate, and severe stenoses. A machine learning model for estimating the CAD severity was
developed to distinguish between individuals without stenosis and those with mild, moderate, or severe stenosis.
Overall, data from 309 individuals were considered for modeling, with the cases distributed as listed in table 3.
We selected 31 features based on the feature selection process, and the selected features were fed into the six
classification models for training and validation, obtaining the macro-average results listed in supplementary
table 1. According to the accuracy metrics, the results of modeling the optimum based on conventional and
proposed features are selected, respectively, as shown in table 4. Compared to the conventional feature-based
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Figure 5. ROC curves of two models for estimating CAD severity. (a) Bagging tree model (Conventional features), and (b) SVM model
(Proposed features).
Table 3. Cases for estimating CAD severity.
CAD severity
No CAD
Mild stenosis
Moderate
stenosis
Severe stenosis
Coronary stenosis
range
Class
index
Number of
cases
0%
(0, 50%)
[50%, 70%)
[70%,100%]
1
2
3
4
52
45
39
173
Table 4. Performance of the best classification models for CAD severity assessment.
Best classifier
Accuracy
Precision
Sensitivity
Specificity
F1-score
Mean AUC
Bagging tree (conventional features, N = 31)
SVM (proposed features, N = 31)
58.3
75.1
42.7
73.9
33.7
67.0
79.3
88.8
33.7
69.8
0.656
0.876
N denotes the number of features selected, and the highest metrics are in bold.
modeling metrics, the proposed feature-based modeling metrics show a noteworthy improvement, particularly
in the increase in accuracy by 16.8%.
Figure 5(a) shows the ROC curves of the Bagging tree model (conventional features), and figure 5(b) shows
the ROC curves of the SVM model (proposed features). Compared to the AUC values of the four classes using
conventional features, all four AUC values using the proposed features exhibit an increase.
To further understand the model based on the proposed features, we analyzed the 31 features (refer to
supplementary table 2) utilized for the modeling. The classes, waves, and channels of these features were
statistically distributed separately, as shown in figure 6.
Figure 6(a) indicates the class of features, with a high percentage of features in the amplitude and correlation
classes. Figure 6(b) presents the wave of features. All waves are features except for the ST and PR segments, with
the highest percentage of features calculated using the whole wave. Figure 6(c) depicts the MCG channels and the
number of features extracted per channel. The features were predominantly located on the diagonal, and there
are channels with multiple features. In addition, one feature in the correlation class involved two channels,
whereas the amplitude, LBP, and shape features involved only one channel. Overall, the performance of the
CAD severity model is improved by the combined use of the proposed feature classes, feature extraction waves
(temporal dimension), and channels (spatial dimension).
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Figure 6. The selected proposed features for predicting CAD severity. Feature (a) classes, (b) waves, and (c) channels.
Figure 7. Seven-label model converted into three binary classification models.
Table 5. Data distribution for CAD localization
formulated as binary classification.
Binary classification
Positive
Negative
LAD versus no LAD
LCX versus no LCX
RCA versus no RCA
188
134
132
24
78
80
4.2. CAD localization
In ECG studies, changes in the ST segment of different leads are statistically counted to localize myocardial
ischemia (Shu et al 2017). In MCG studies, features reflecting the 2D magnetic field pattern are used to localize
coronary stenosis (Tao et al 2019). Accordingly, we investigated whether CAD could be localized using features
extracted from 1D MCG signals.
CAD localization was applied to patients with moderate and severe coronary stenosis data. A seven-label
model was constructed to account for the possible coronary stenosis locations, as illustrated in figure 7.
However, building an accurate seven-label model was difficult because of the high imbalance between labels in
the collected data. To address this problem, we converted the seven-label model into three binary classification
models to independently predict each stenosis location (Tao et al 2019).
The data distribution for the three binary classification models is presented in table 5. Compared with the
seven-label model, data were more balanced between the two classes of each binary classification model.
The three CAD localization models were constructed following a similar process to that used for obtaining
the CAD severity model. Note that feature selection was performed for each of the three location models, and
three feature sets were selected, each with a number of 21 (the number of observations for the location detection
model is 212 cases). We inputted the three selected feature sets into each of the six classification models for
training and validation to obtain the metrics for the LAD, LCX, and RCA detection models, respectively (refer to
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Table 6. Performance of CAD localization using binary classification.
Binary classification
Best classifier
Accuracy
Precision
Sensitivity
Specificity
F1-score
AUC
LAD versus no LAD
LCX versus no LCX
RCA versus no RCA
Discriminant analysis
(Conventional features, N = 21)
SVM
(Proposed features, N = 21)
Discriminant analysis
(Conventional features, N = 21)
Discriminant analysis
(Proposed features, N = 21)
Naïve Bayes
(Conventional features, N = 21)
Discriminant analysis
(Proposed features, N = 21)
69.8
94.3
70.8
84.4
62.7
84.9
92.5
98.4
75.0
86.3
69.6
87.3
71.8
95.2
80.6
89.6
71.2
88.6
54.2
87.5
53.8
75.6
48.8
78.8
80.8
0.652
96.8
0.949
77.7
0.711
87.9
0.921
70.4
0.662
88.0
0.900
N denotes the number of features selected, and the highest metrics are in bold.
supplementary tables 3–5). Under the accuracy metric, the optimal modeling results based on conventional and
proposed features were selected, respectively, as illustrated in table 6.
In table 6, all three proposed feature-based location detection model metrics are significantly improved
compared to the conventional feature-based modeling metrics. LAD detection has the highest accuracy,
sensitivity, and specificity among the three location models.
For further insight into the three localization models, we analyzed the three feature sets used for modeling.
The three feature sets are specified in supplementary tables 6–8. The feature analysis was performed similarly to
the feature analysis of the CAD severity model. The classes, waves, and channels of each of the three feature sets
were statistically distributed, as shown in figure 8.
Figure 8 shows three lines with the results of the feature sets analysis used by the LAD, LCX, and RCA
models, respectively. Figure 8(a) illustrates the class distribution of the three feature sets; the amplitude class
features are highest in the LCX and RCA models, and the correlation class features are highest in the LAD model.
Figure 8(b) displays the wave distributions of the three feature sets; in the LAD model, the features are
distributed in all waves, with the highest percentage in the P wave. In the LCX model, the features are selected to
be computed in all waves except for the ST-T segment, with the highest percentage in the QT segment, and in the
RCA model, the features are selected to be computed in all waves except the PR segment, with the highest
percentage in the QT segment and the whole wave. Figure 8(c) presents the channel distributions of the three
feature sets, which have different distributions of the channels where the features are located. In summary, the
designed features contain three perspectives: feature class, feature wave (temporal dimension), and feature
channel (spatial dimension). The features are extracted from these three perspectives separately for each CAD
localization model, and the three CAD localization models obtained perform acceptably.
5. Discussion
We investigated the severity assessment and localization of CAD. To determine the CAD severity, we selected a
set of representative features evaluated in six classification models. The SVM achieved the best performance,
with an accuracy of 75.1%. Overall, the accuracy of the CAD severity assessment model was lower than that of
the three CAD localization models for the following reasons. CAD severity required the classification of four
classes, whereas CAD localization was formulated as three binary classification models. In addition, there was a
higher imbalance across the four classes of CAD severity. These aspects undermined the performance of CAD
severity assessment.
For CAD localization, we used three binary classification models to separately detect coronary stenosis at the
LAD, LCX, and RCA. The average accuracy of CAD localization using proposed MCG features (average
accuracy, 88%; LAD, 94%; LCX, 84%; RCA, 85%) improved by 19% compared with that obtained in a previous
study (average accuracy, 69%; LAD, 74%; LCX, 68%; RCA, 65%) (Tao et al 2019). Three factors can explain the
improved accuracy of CAD localization. (1) We used an MCG feature set combining spatial and temporal
features, widely covering important information. (2) The important subsets of features for each of the three CAD
localization models were selected separately. (3) We considered data from patients with moderate and severe
stenoses and excluded those with mild stenosis.
There are 94 features (31 + 21 × 3 = 94) used in the CAD severity and localization model, and we analyze
these selected features as shown in figure 9.
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Figure 8. The selected proposed features for CAD localization. Feature (a) classes, (b) waves, and (c) channels.
Figure 9(a) contains a higher percentage of amplitude and correlation class features, indicating that these two
classes of features are more important in the CAD severity and localization model. In terms of physiology,
various degrees of coronary artery stenosis or occlusion results in myocardial ischemia in the region supplied by
a coronary artery (Nabel and Braunwald 2012). Local ischemia reduces the duration, resting potential, and
propagation velocity of action potentials in the affected myocardium, resulting in wide variability in the
conduction velocity between different myocardial regions. The variability in conduction velocity between the
epicardial and endocardial walls of the affected region leads to signal variability in the specific MCG channels
oriented to that region. To extract the signal variability information, we designed and selected channel-specific
amplitude, LBP, and shape class features. The percentage of amplitude class features is much higher than that of
LBP and shape class features, indicating that the amplitude class features better portray the variation of MCG
signals affected by CAD. The variability in the ischemic region and normal myocardium leads to spatial
variability between MCG channels. To extract the spatial variability information, we designed and selected the
correlation features. The percentage of correlation class features is second only to the amplitude class features in
CAD severity and location detection.
Figure 9(b) presents the distribution of features in different waves, where the higher percentage is in the
whole wave and QT segment rather than in the T wave. This reveals the potential benefits of selecting multiple
waves for detecting CAD severity and location. Regarding physiology, the repolarization sequence propagates
from the endocardium to the epicardium in the normal ventricle (Zhu et al 2009). When cardiac ischemia
occurs, there is a corresponding change in conductivity within the ischemic region, resulting in slower
repolarization and impaired ventricular diastole, which is reflected in the alteration of the T wave signal.
Myocardial injury may also lead to cardiac electrical conduction system abnormalities, which may cause
arrhythmia signals, which are reflected in the P and QRS wave signals. Upon evaluating the screened feature
results using the data-driven feature selection method, a contribution from other waves in addition to the T wave
could be observed, which is consistent with the myocardial injury physiological process. To summarize, the
higher percentage of relevant waves containing T wave (T wave, ST-T segment, QT segment, and whole wave)
indicates that ventricular repolarization signals have a major contribution to the detection of disease, but that the
other waves (P wave, QRS wave, ST segment, and PR segment) also have a certain role.
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Figure 9. The selected proposed features for CAD severity and localization. Feature (a) classes, (b) waves, and (c) channels.
Figure 9(c) shows that the features use 35 channels, in which the channels with a higher number of features
are mainly distributed in the middle region of the sensing array. It illustrates that the number of sensors can be
reduced to lower the cost of the OPM-based MCG system while ensuring the effectiveness of the CAD severity
and localization model. A promising finding was that when the top 5 important features of each model (20
features in total) were selected for analysis, there were only 14 channels where the features were located (refer to
supplementary figure 1), which gives us an insight that if, in the development of portable MCG devices, the
requirements for the detection model metrics are relatively low, it is possible to drastically reduce the number of
36-channel MCG sensors by retaining the sensors only in specific locations. In the ECG, stenosis at different
CAD locations resulted in ST segment changes in different leads (Yuan et al 1991, Shu et al 2017). Likewise, we
observed that among the features selected for the three CAD location detection models, the distribution of
channels where important features were located was different (figure 8(c)).
Finally, the primary contribution of this research is the extraction of new MCG features and their validation
using clinical data acquired by an OPM-based MCG system. Specifically, owing to the shortcomings of the
aforementioned studies, this study proposes spatiotemporal features, including amplitude, correlation, LBP,
and shape, obtained from 1D MCG signals. Based on the database and feature selection method used in this
study, selected features are considered significant. However, because the database used in this study was
relatively small, future research will focus on increasing the database to further validate and optimize the selected
features and models.
6. Conclusion
We propose a system to automatically estimate the severity and localize CAD. Our system can detect either the
absence of stenosis or a mild, moderate, or severe case. In addition, it may promote the clinical diagnostic
application of OPM-based MCG. Regarding the MCG features, we can draw three conclusions. (1) Amplitude
and correlation features are essential for determining the severity and localizing CAD. (2) T wave signals are not
the only waves useful for detecting CAD. Other waves also contribute to severity assessment and localization. (3)
Not all channels in the 36-channel sensor array contribute to severity assessment and localization. There is a
correlation between the channel distribution of important features and the location of coronary stenosis.
Acknowledgments
The authors would like to thank Dr Qinghua Sun for the scientific discussions pertaining to this study, the
engineers from Hangzhou Nuochi Life Science Co., Ltd for their support during the experiments, and Huidong
Wang, Sijia Zhang, Junliang Zhang, Chong Ma for their participation in the work data collection. The author’s
have confirmed that any identifiable participants in this study have given their consent for publication. This
work was supported in part by the Innovation Program for Quantum Science and Technology under Grant No.
2021ZD0300500, the Development and Application of Ultra-Weak Magnetic Measurement Technology based
on Atomic Magnetometer under Grant No. 2022-189-181, the National Natural Science Foundation of China
under Grant No. 62101017, and the Key R&D Program of Shandong Province under Grant No. 2022ZLGX03.
12
Physiol. Meas. 44 (2023) 125002
X Han et al
Data availability statement
The data cannot be made publicly available upon publication because they contain commercially sensitive
information. The data that support the findings of this study are available upon reasonable request from the
authors.
Ethical statement
The study was reviewed and approved by the Ethics Committee of Scientific Research of Shandong University
Qilu Hospital; the ethics board protocol approval number was KYLL-202204-017, and the approval date was 20
April, 2022. All the subjects provided written informed consent for the experimental procedure conducted in
accordance with the Declaration of Helsinki. The trial name was Magnetocardiography in the Accurate
Identification of Severe Coronary Lesions and Myocardial Necrosis; the http://clinicalTrials.gov identifier was
NCT05392712.
ORCID iDs
Xiaole Han
Yang Gao
Min Xiang
Jinji Sun
Xiaolin Ning
https://orcid.org/0000-0001-9152-8182
https://orcid.org/0000-0002-6841-9276
https://orcid.org/0000-0002-0239-3392
https://orcid.org/0000-0002-4804-637X
https://orcid.org/0000-0003-3563-3601
References
Al-Zaiti S et al 2020 Machine learning-based prediction of acute coronary syndrome using only the pre-hospital 12-lead electrocardiogram
Nat. Commun. 11 1–10
Beadle R, Mcdonnell D, Roudsari S G and Unitt L 2021 Assessing heart disease using a novel magnetocardiography device Biomed. Phys. Eng.
Express 7 1–9
Boto E et al 2017 A new generation of magnetoencephalography: room temperature measurements using optically-pumped magnetometers
Neuroimage 149 404–14
Chen T, Chen Z, Jiang S Q, Leeuwen P V and Grnemeyer D 2014 Noninvasively diagnosing coronary artery disease with 61-channel MCG
data Sci. Bull. 59 1123–8
Dutz S, Bellemann M E, Leder U and Haueisen J 2006 Passive vortex currents in magneto- and electrocardiography: comparison of magnetic
and electric signal strengths Phys. Med. Biol. 51 145–51
Fenici R, Brisinda D, Nenonen J and Fenici P 2003 Noninvasive study of ventricular preexcitation using multichannel magnetocardiography
Pacing Clin. Electrophys. 26 431–5
Ghasemi-Roudsari S, Al-Shimary A, Varcoe B, Byrom R, Kearney L and Kearney M 2018 A portable prototype magnetometer to differentiate
ischemic and non-ischemic heart disease in patients with chest pain PLoS One 13 10
Guyon I and Elisseeff A 2003 An introduction to variable and feature selection J. Mach. Learn. Res. 3 1157–82
Haberkorn W, Steinhoff U, Burghoff M, Kosch O, Morguet A and Koch H 2006 Pseudo current density maps of electrophysiological heart,
nerve or brain function and their physical basis Biomagn. Res. Technol. 4 1–18
Han X, Xue X, Yang Y, Liang X, Gao Y, Xiang M, Sun J and Ning X 2023 Magnetocardiography using optically pumped magnetometers array
to detect acute myocardial infarction and premature ventricular contractions in dogs Phys. Med. Biol. 68 1–14
Hill R M et al 2019 A tool for functional brain imaging with lifespan compliance Nat. Commun. 10 1–11
Hill R M et al 2020 Multi-channel whole-head OPM-MEG: helmet design and a comparison with a conventional system Neuroimage 219
1–20
Kangwanariyakul Y, Nantasenamat C, Tantimongcolwat T and Naenna T 2010 Data mining of magnetocardiograms for prediction of
ischemic heart disease EXCLI J. 9 82–95
Mooney J W, Ghasemi-Roudsari S, Banham E R, Symonds C, Pawlowski N and Varcoe B H 2017 A portable diagnostic device for cardiac
magnetic field mapping Biomed. Phys. Eng. Express 3 1–18
Nabel E G and Braunwald E 2012 A tale of coronary artery disease and myocardial infarction New Engl. J. Med. 366 54–63
Ogata K, Kandori A, Watanabe Y, Suzuki A and Tanaka K 2009 Repolarization spatial-time current abnormalities in patients with coronary
heart disease Pacing Clin. Electrophysiol. 32 516–24
Patel R, Gireesan K, Baskaran R and Shekar N C 2022 Optimal classification of N-back task EEG data by performing effective feature
reduction Sādhanā 47 281–92
Prakasa E 2015 Texture feature extraction by using local binary pattern INKOM J. 9 45–8
Richards J A 2022 Remote Sensing Digital Image Analysis (Switzerland: Springer) (https://doi.org/10.1007/978-3-030-82327-6)
Roffi M, Patrono C, Collet J P, Mueller C and Valgimigli M 2016 2015 ESC Guidelines for the management of acute coronary syndromes in
patients presenting without persistent ST-segment elevation Eur. Heart J. 37 267–315
Seki Y, Muneyuki K, Kandori A, Tsukada K, Terao K and Ageyama N 2008 Standardization of magnetocardiography in nonhuman primates
Phys. Med. Biol. 53 1609–18
Shin E S, Park S G, Saleh A, Lam Y Y, Bhak J, Jung F, Morita S and Brachmann J 2018 Magnetocardiography scoring system to predict the
presence of obstructive coronary artery disease Clin. Hemorheol. Microcirc. 70 1–9
Shu L, Adam M, Tan J et al 2017 Automated identification of coronary artery disease from short-term 12 lead electrocardiogram signals by
using wavelet packet decomposition and common spatial pattern techniques J. Mech. Med. Biol. 17 1–19
13
Physiol. Meas. 44 (2023) 125002
X Han et al
Smith F E, Langley P, Leeuwen P V, Hailer B, Trahms L, Steinhoff U, Bourke J P and Murray A 2006 Comparison of magnetocardiography
and electrocardiography: a study of automatic measurement of dispersion of ventricular repolarization EP. Europace. 8 887–93
Steinisch M, Torke P R, Haueisen J, Hailer B, Gronemeyer D, Van Leeuwen P and Comani S 2013 Early detection of coronary artery disease
in patients studied with magnetocardiography: an automatic classification system based on signal entropy Comput. Biol. Med. 43
144–53
Stratbucker R A, Hyde C M and Wixson S E 1963 The magnetocardiogram–a new approach to the fields surrounding the heart IEEE Trans.
Biomed. Electron. 10 145–9
Sutter J U et al 2020 Recording the heart beat of cattle using a gradiometer system of optically pumped magnetometers Comput. Electron.
Agric. 177 1–8
Tao R et al 2019 Magnetocardiography-based ischemic heart disease detection and localization using machine learning methods IEEE Trans.
Biomed. Eng. 66 1658–67
Tasci E, Jagasia S, Zhuge Y, Camphausen K and Krauze A V 2023 GradWise: a novel application of a rank-based weighted hybrid filter and
embedded feature selection method for glioma grading with clinical and molecular characteristics Cancers 15 1–19
Tavarozzi I et al 2002 Magnetocardiography: current status and perspectives: II. Clinical applications Italian Heart J. 3 151–65
Thaseen I S, Kumar C A and Ahmad A 2019 Integrated intrusion detection model using chi-square feature selection and ensemble of
classifiers Arab. J. Sci. Eng. 44 3357–68
Tsao C W et al 2023 Heart disease and stroke statistics—2023 update: a report from the american heart association Circulation 147 93–621
Xiao H, Pengfei C, Fakuan T and Ning H 2021 Detection of coronary artery disease in patients with chest pain: an machine learning model
based on magnetocardiography parameters Clin. Hemorheol. Microcirc. 78 227–36
Yang Y F, Xu M Z, Liang A M, Yin Y, Ma X, Gao Y and Ning X L 2021 A new wearable multichannel magnetocardiogram system with a SERF
atomic magnetometer array Sci. Rep. 11 1–11
Yuan S, Blomström P, Pehrson S and Bertil Olsson S 1991 Localization of cardiac arrhythmias: conventional noninvasive methods Int. J.
Cardiac Imaging 7 193–205
Zhu T G, Patel C, Martin S, Quan X, Wu Y, Burke J F, Chernick M, Kowey P R and Yan G-X 2009 Ventricular transmural repolarization
sequence: its relationship with ventricular relaxation and role in ventricular diastolic function Eur. Heart J. 30 372–80
14
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10.1093_molbev_msad069.pdf
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Data availability
No new data were generated in support of this research. TE
models were deposited in the DFAM database.
|
Data availability No new data were generated in support of this research. TE models were deposited in the DFAM database.
|
Transposable Element Interactions Shape the Ecology of the
Deer Mouse Genome
Landen Gozashti
,1 Cedric Feschotte,2 and Hopi E. Hoekstra
*,1
1Department of Organismic & Evolutionary Biology, Department of Molecular & Cellular Biology, Museum of Comparative
Zoology and Howard Hughes Medical Institute, Harvard University, Cambridge, MA
2Department of Molecular Biology & Genetics, Cornell University, Ithaca, NY
*Corresponding author: E-mail: hoekstra@oeb.harvard.edu.
Associate editor: Dr. Irina Arkhipova
Abstract
The genomic landscape of transposable elements (TEs) varies dramatically across species, with some TEs demonstrat-
ing greater success in colonizing particular lineages than others. In mammals, long interspersed nuclear element
(LINE) retrotransposons are typically more common than any other TE. Here, we report an unusual genomic land-
scape of TEs in the deer mouse, Peromyscus maniculatus. In contrast to other previously examined mammals, long
terminal repeat elements occupy more of the deer mouse genome than LINEs (11% and 10%, respectively). This pat-
tern reflects a combination of relatively low LINE activity and a massive invasion of lineage-specific endogenous ret-
roviruses (ERVs). Deer mouse ERVs exhibit diverse origins spanning the retroviral phylogeny suggesting they have
been host to a wide range of exogenous retroviruses. Notably, we trace the origin of one ERV lineage, which arose
∼5–18 million years ago, to a close relative of feline leukemia virus, revealing inter-ordinal horizontal transmission.
Several lineage-specific ERV subfamilies have very high copy numbers, with the top five most abundant accounting
for ∼2% of the genome. We also observe a massive amplification of Kruppel-associated box domain-containing zinc
finger genes, which likely control ERV activity and whose expansion may have been facilitated by ectopic recombin-
ation between ERVs. Finally, we find evidence that ERVs directly impacted the evolutionary trajectory of LINEs by
outcompeting them for genomic sites and frequently disrupting autonomous LINE copies. Together, our results il-
luminate the genomic ecology that shaped the unique deer mouse TE landscape, shedding light on the evolutionary
processes that give rise to variation in mammalian genome structure.
Key words: mobile genetic elements, genome evolution, endogenous retrovirus, genomic conflict, Peromyscus
maniculatus.
A
r
t
i
c
l
e
Introduction
Transposable elements (TEs) are parasitic genetic elements
capable of mobilizing in genomes and function as import-
ant drivers of genome evolution (Orgel and Crick 1980;
Kazazian 2004; Bourque et al. 2018). In mammals, for ex-
ample, TEs account for at least 20% of the genome and,
in some cases, have been exapted for significant functional
innovations (van de Lagemaat et al. 2003; Platt et al. 2018;
Senft and Macfarlan 2021). When TEs insert into new posi-
tions in the genome, they generate mutations and thus re-
present a significant burden on host fitness. This cost is
compounded by the fact that TEs can contain gene regu-
latory sequences and cause structural rearrangements
even after they have
lost the ability to transpose
(Bourque et al. 2018; Klein and O’Neill 2018). Thus, the
evolutionary success of a given TE lineage is dictated by
its ability to replicate faster than the host genome but lim-
ited by its cost to host fitness (Ford Doolittle and Sapienza
1980; Orgel and Crick 1980). TE lineages are in a constant
coevolutionary conflict with each other as well as their
host (Brookfield 2005; Venner et al. 2009). As a conse-
quence, hosts have evolved various ways to suppress TE ac-
tivity (Cosby et al. 2019). These genetic conflicts embody
the “ecology of the genome” and play an important role
in shaping the genomic landscape of TEs in a given species
as well as its genome structure more broadly (Brookfield
2005; Venner et al. 2009).
TEs are remarkably diverse, and TE landscapes can vary
dramatically across species (Wells and Feschotte 2020). TEs
are classified into two broad categories based on their
transposition mechanism: class I elements (retrotranspo-
sons), which mobilize through an RNA intermediate, and
class II elements (DNA transposons), which do not. Most
eukaryotic lineages harbor a diversity of TEs from multiple
taxonomic subgroups within each of these broad classes
(Bourque et al. 2018; Wells and Feschotte 2020). By con-
trast, some phylogenetic groups have TE landscapes that
are relatively similar across species (Abrusán and
Krambeck 2006; Sotero-Caio et al. 2017). One such clade
is mammals (Platt et al. 2018). In most mammalian
© The Author(s) 2023. Published by Oxford University Press on behalf of Society for Molecular Biology and Evolution.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/
licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly
cited.
Open Access
Mol. Biol. Evol. 40(4):msad069 https://doi.org/10.1093/molbev/msad069 Advance Access publication March 22, 2023
1
Gozashti et al.
· https://doi.org/10.1093/molbev/msad069
genomes, DNA transposons cannot actively mobilize and
only exist as relics of anciently active elements (Platt
et al. 2018). Actively mobilizing retrotransposons include
long terminal repeat (LTR) retrotransposons, which are
mostly endogenous retroviruses (ERVs), as well as
non-LTR retrotransposons represented by long inter-
spersed nuclear elements (LINEs) and their nonautono-
mous counterparts, short interspersed nuclear elements
(SINEs) (Eickbush 1992; Platt et al. 2018). LINEs are nearly
always the most abundant TEs, and most are represented
by a single family, L1, which typically occupies hundreds of
megabases of the mammalian genome (Platt et al. 2018).
However, the dearth of examples of alternative TE land-
scapes has limited our ability to investigate the evolution-
ary processes driving mammalian genome structure
evolution and specifically, the maintenance of LINE dom-
inance (Furano et al. 2004; Platt et al. 2018).
The North American deer mouse, Peromyscus manicu-
latus, has become an important model for studying the
genetic basis of adaptation (Bedford and Hoekstra
2015). Early studies of deer mice and closely related spe-
cies used polymerase chain reaction methods to explore
TE abundance and reported evidence for an unprece-
dented expansion of ERVs (Wichman et al. 1985;
Cantrell et al. 2005). However, the landscape of TEs in
the deer mouse remains unexplored on a genomic scale.
Here, we report a highly distinct genomic landscape of
TEs in the deer mouse genome. We find that, in contrast
to nearly all examined mammalian genomes, LTR retro-
transposons are more abundant in the deer mouse gen-
ome than LINEs. We investigate the evolutionary origins
and implications of the deer mouse’s distinct genomic
landscape, revealing ecological processes that shaped its
evolution.
Results and Discussion
Deer Mice Exhibit a Unique Landscape of TEs
To evaluate the genomic landscape of TEs in the deer
mouse genome, we first generated a lineage-specific TE li-
brary de novo from the deer mouse (P. maniculatus bair-
dii) genome using a combination of systematic and
manual methods (see Methods). We identified 48 LINE,
28 SINE, and 118 LTR deer mouse-specific subfamilies
(fig. 1A and supplementary table S1, Supplementary
Material online). We then merged this lineage-specific TE
library with all curated mammalian TEs from the Dfam
database (Hubley et al. 2016) and annotated the genome
using the combined library. We define lineage-specific sub-
families with respect to those observed in house mice, Mus
musculus (strain C57BL6) (∼25 Myr diverged from the
deer mouse; Kumar et al. 2017). Our annotation revealed
a distinct genomic landscape of TEs in the deer mouse,
relative to other mammals, in which LTR elements occupy
more of the genome than LINEs (fig. 1A). Specifically, LTR
elements occupy ∼11% of the genome, followed by LINEs
(∼10%), SINEs (7%), and other TEs (<2%) (fig. 1A and
2
MBE
supplementary table S2, Supplementary Material online).
Notably, the 10% LINE occupancy observed for the deer
mouse is much lower compared to house mouse, rat,
and human. It is worth noting that the dearth of LINE con-
tent observed in the deer mouse genome is unlikely an
artifact of our inability to detect lineage-specific LINEs
since vertical propagation of LINEs has been accompanied
by relatively little sequence changes. In total, TEs occupy
∼30% of the deer mouse genome, reflecting an increase
in TE content relative to other species in the rodent
Family Cricetidae, such as the grasshopper mouse
(Onychomys torridus, 24%) and prairie vole (Microtus
ochrogaster, 17%) (fig. 1A), but a reduction relative to
house mouse (M. musculus, >40%), although differences
in genome assembly and TE annotation quality may con-
tribute to these patterns (Platt et al. 2016; Peona et al.
2021). Nonetheless, most of the difference in TE content
between the deer mouse and house mouse can be attrib-
uted to decreased LINE content in the deer mouse, where-
as most of the difference in TE content among cricetid
species can be attributed to LTR elements.
Based on these observations, we hypothesized that the
distinct TE landscape of deer mice is the result of a com-
bination of reduced accumulation of
lineage-specific
LINE1s (L1s) and a proliferation of lineage-specific LTR ele-
ments. To investigate this possibility, we first compared
genomic representation as a function of within-subfamily
divergence (as a proxy for subfamily age) across LINEs,
SINEs, and LTR elements (fig. 1B). Consistent with our hy-
pothesis, we observe reduced representation of LINEs with
lower divergence from the consensus, suggesting de-
creased LINE accumulation in the deer mouse lineage on
more recent timescales (fig. 1B). However, despite this de-
cline in the accumulation of LINEs, we still find multiple
candidate L1s with intact protein machinery, suggesting
that LINEs are still active, consistent with previous reports
of LINE activity in deer mice (supplementary table S3,
Supplementary Material online; Casavant et al. 1996). We
also observed evidence for lineage-specific SINE activity
(fig. 1B). Since SINEs parasitize LINE machinery for mobil-
ization, evidence of recently active SINEs suggests that re-
cently active LINEs still exist in the genome. In addition, we
find a lineage-specific proliferation of LTR elements (fig.
1B): LTR elements are significantly overrepresented among
the youngest TEs in the genome (<1% divergence from the
consensus; two-sided Fisher’s exact test, P < 0.00001).
Furthermore, the observed decline of LINE gains in the
genome coincides with the peak of LTR gains in the gen-
ome (fig. 1B). Together, these results suggest that both re-
duced LINE gain and lineage-specific LTR proliferation
have contributed to the deer mouse’s unique TE land-
scape, and that the two may be associated.
DNA Loss Fails to Explain Reduced LINE Content
In addition to gain, TE loss can be an important driver of
genomic TE content (Kapusta et al. 2017). Although we
find evidence for a decline of LINE gain, the low LINE
Transposable Element Interactions Shape the Ecology of the Deer Mouse Genome · https://doi.org/10.1093/molbev/msad069 MBE
FIG. 1. TE landscape. (A) Phylogeny highlighting the relationship of deer mice (P. maniculatus) to other mammalian species considered in this
study. Branch lengths in millions of years were obtained from Timetree (Kumar et al. 2017). Pie charts show the relative percent of the genome
occupied by TE subclasses for each species. Color corresponds to the percent of the genome attributed to each type of TE (see legend); gray
represents the percent of the genome not occupied by TEs. Stacked bar plots show the proportion of TE content represented by each TE
type. Note, in deer mouse, LTRs occupy more of the genome than LINEs. (B) Percent of the genome as a function of CpG corrected Kimura
divergence from the consensus for each TE subfamily of LINEs, SINEs, and LTR elements. The vertical dotted line represents the start of observed
LINE decline in all plots.
content in the deer mouse genome, relative to house
mouse, could also have resulted from higher rates of ances-
tral DNA loss in the deer mouse (fig. 2A and B). To inves-
tigate this possibility, we calculated the DNA
loss
coefficient k (following Lindblad-Toh et al. 2005), using
the formula E = Ae − kt, where E is the amount of extant
ancestral DNA in the species considered, A is the ancestral
assembly size, and t is time. Larger values of k suggest high-
er rates of lineage-specific DNA loss. We calculated a k co-
efficient of ∼0.0047 for the deer mouse, a value similar to,
and in fact slightly lower than the k value estimated for the
house mouse (∼0.006; Kapusta et al. 2017). These data sug-
gest that the reduced LINE content observed in the deer
mouse genome cannot be explained by generally higher
rates of DNA loss in deer mice (fig. 2C).
While the results above indicate that the genome-wide
rate of DNA loss cannot explain the low LINE content of
the deer mouse genome, it is still possible that LINEs are
lost at a higher rate than other types of TEs. To investigate
this possibility, we compared the proportions of DNA at-
tributed to ancient mammalian LINEs present in the com-
mon ancestor of the deer mouse and house mouse as well
as lineage-specific elements. If the relative absence of LINEs
in the deer mouse is due to higher rates of loss of these
types of elements, we expect to find a decreased amount
of DNA attributed to ancient LINEs in the deer mouse rela-
tive to house mouse. To the contrary, we find that
although LINEs contribute twice as much content to the
house mouse as to the deer mouse (∼575Mb vs.
∼250Mb), ancient LINEs are significantly underrepre-
sented in the house mouse genome (∼16% of total
LINEs in deer mouse vs. ∼9% of total LINEs in house mouse;
two-sided Fisher’s exact test, P = 0.006; fig. 2D). These re-
sults suggest that LINE DNA is lost at a slower rate in
the deer mouse lineage than in the house mouse lineage,
consistent with our k calculations above. Together these
data suggest that the low LINE content observed in the
deer mouse cannot be attributed to high rates of LINE
DNA loss, and instead, is most likely the result of relatively
low rates of LINE activity in the deer mouse lineage.
ERVK Elements Amplified Predominantly as
Nonautonomous Subfamilies
Most mammalian LTR retrotransposons are represented
by ERVs, which are derived from germline infiltrations of
exogenous retroviruses (Mager and Stoye 2015). ERVs
are divided into three broad classes depending on their
retroviral origins: ERV1
(Gammaretroviridae), ERVK
(Betaretroviridae), and ERVL (Spumaretroviridae), with a
subgroup of nonautonomous ERVLs called MaLRs
(Hubley et al. 2016; Gifford et al. 2018). In the deer mouse,
we find a pattern in which ERVK and ERVL/MaLR elements
together account for over 80% of genomic ERV content,
3
Gozashti et al.
· https://doi.org/10.1093/molbev/msad069
MBE
FIG. 2. Non-mutually exclusive evolutionary scenarios that may have shaped the TE landscape in the deer mouse. (A) Higher rates of lineage-
specific loss (larger red arrows) could have resulted in the reduced LINE content observed in deer mouse (P. maniculatus) relative to house
mouse (M. musculus) and/or (B) higher rates of lineage-specific gain (larger blue arrows) in the house mouse relative to the deer mouse. (C )
k coefficients of DNA loss suggest lower rates of loss in deer mouse relative to house mouse. (D) Ancient elements account for a greater pro-
portion of total LINE content in deer mouse relative to house mouse.
consistent with previous reports in other rodents (Hubley
et al. 2016; Platt et al. 2018; fig. 3A). Lineage-specific ERVs
as a whole represent over half of genomic ERV content
(∼57%), suggesting that the deer mouse has experienced
a substantial ERV expansion. When we compare the pro-
portion of lineage-specific ERV content to the proportion
of shared ERV content represented by ERVKs, we find that
ERVKs account for a disproportionately large part of
lineage-specific ERV content (two-sided Fisher’s exact
test, P < 0.00001), representing over 75% of observed
lineage-specific ERV sequence in the genome (fig. 3B and
supplementary table S1, Supplementary Material online).
Thus, ERVK activity has been particularly pronounced in
the deer mouse lineage.
In well-annotated mammalian genomes, among full-
length proviral elements (with two LTRs), ERVKs are typic-
ally represented by autonomous elements that encode
their own machinery for mobilization (Mager and Stoye
2015). After manually inspecting deer mouse-specific
ERV subfamilies, and annotating gag, pro, pol, and env
genes as well as predicting protein domains required for
autonomous transposition, we find that the most abun-
dant ERVK families do not possess any internal open read-
ing frames (ORFs) predicted to encode proteins with
conserved domains, suggesting that they are largely com-
posed of nonautonomous elements. Many ERVs contain
assembly gaps that interrupt or truncate their internal se-
quences (507 of 1,119 candidate full-length ERVs), making
it challenging to reconstruct full-length elements and
4
assess the presence or absence of coding machinery. In
light of this caveat, we required that a putatively nonauto-
nomous ERV subfamily display at least five full-length cop-
ies with no gaps for it to be classified as nonautonomous,
regardless of its consensus sequence length or content.
Even with this conservative filter, we find that the most
abundant deer mouse-specific ERV subfamilies are
nonautonomous ERVK-like elements lacking any obvious
coding capacity (fig. 3C and supplementary table S4,
Supplementary Material online). Pman_ERV2_4.24, for ex-
ample, is the most abundant ERV in the genome, account-
ing for ∼5% of total ERV content. Furthermore, for the
subset of ERVKs in which we could confidently reconstruct
full-length copies and assess their coding capacity, nonau-
tonomous elements occupy more of the genome than au-
tonomous ones (supplementary table S4, Supplementary
Material online). Overall, our results suggest that autono-
mous ERVKs and their nonautonomous counterparts have
had a significant impact on the deer mouse’s genome
structure.
Nonautonomous TEs parasitize autonomous elements
for mobilization. Studies on the nonautonomous ERVK
subfamily, ETn, in house mouse showed that ETn exhibits
regions of sequence similarity to fully coding MusD ele-
ments, suggesting that ETn likely arose from the ancestors
of Mus-D (Mager and Freeman 2000) and now hijacks
MusD machinery
trans-
complementation (Ribet et al. 2004). Given the high
copy numbers of nonautonomous ERVKs in the deer
for mobilization
via
Transposable Element Interactions Shape the Ecology of the Deer Mouse Genome · https://doi.org/10.1093/molbev/msad069 MBE
FIG. 3. Relative contribution of different broad ERV classes to ERV content in the deer mouse genome across (A) all ERVs and (B) lineage-specific
ERVs. (C ) Respective genomic occupancy across the 18 most common lineage-specific ERV subfamilies. Red font denotes nonautonomous sub-
families. (D) VISTA plot showing regions of homology between and relative position of autonomous mysTR subfamilies (gray) and nonautono-
mous subfamilies (red). (E) Comparison of LTR percent identity aggregated across all lineage-specific autonomous and nonautonomous
elements. (F) Comparison of LTR percent identity across all ERV subfamilies that display at least one candidate full-length copy showing
that the youngest subfamilies are autonomous (gray).
mouse genome, we sought to identify related autonomous
elements that may have been their progenitors and/or
In addition to several
facilitated their mobilization.
prolific nonautonomous subfamilies, we identified three
autonomous ERVK
subfamilies, Pman_ERVK_4.503,
Pman_ERVK_6.7639, and Pman_ERVK_5.247, that to-
gether occupy ∼1% of the genome (fig. 3C). These subfam-
ilies show sequence similarity to mysTR (∼89%, ∼96%, and
∼90% identity to mysTR pro-pol sequence, respectively),
an ERV
in Peromyscus
(Cantrell et al. 2005), suggesting a shared origin from
mysTR. Together, these mysTR-related subfamilies re-
present the most abundant autonomous ERVs in the
genome.
family previously
identified
Previous studies failed to identify full-length mysTR
copies with intact gag and pro-pol genes required for mo-
bilization, raising questions about its overall origin and
ability to mobilize, although these studies lacked the gen-
omic resources to analyze mysTR sequences comprehen-
sively (Cantrell et al. 2005; Erickson et al. 2011). Our
reveals multiple copies of
genome-wide analysis
mysTR-related ERVs, which display apparently
intact
ORFs with homology to gag and pro-pol genes and contain
all the protein domains expected to be encoded by au-
tonomous elements, suggesting that these ERVs are indeed
autonomous and may still be capable of mobilizing
(supplementary table S4, Supplementary Material online).
We also find several nonautonomous subfamilies related
to mysTR
(fig. 3D and supplementary table S4,
Supplementary Material online; Wichman et al. 1985; Lee
et al. 1996). The most conserved region of nucleotide se-
quence homology between mysTR-related subfamilies is
just downstream of the pro-pol gene and upstream of
the 3′ LTR (fig. 3D). Interestingly, most candidate nonauto-
nomous and autonomous mysTR-related subfamilies do
not display strong homology outside of this region, sug-
gesting that nonautonomous subfamilies may have
evolved through a recombination event in an autonomous
element, which replaced the original internal sequence
of the autonomous element with a nonhomologous
sequence (Mager and Freeman 2000). Maintenance of
sequence similarity in this region is also consistent with
functional constraint due to a possible role in ERVK mobil-
ization, although its function remains unknown.
Since ERV LTRs are identical upon insertion, LTR se-
quence identity can provide an estimate for how recently
an ERV inserted. To investigate the evolutionary dynamics
of deer mouse ERVs, we compared the distributions of LTR
identity across lineage-specific ERV subfamilies. We find
that nonautonomous ERVs overall exhibit similar ages to
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Gozashti et al.
· https://doi.org/10.1093/molbev/msad069
autonomous ERVs (fig. 3E). However, when we compare
nonautonomous and autonomous subfamilies independ-
ently, we observe evidence for waves of autonomous elem-
ent activity followed by waves of nonautonomous element
activity, with the most recently active subfamilies being
autonomous (fig. 3F). These observations are consistent
with the hypothesis that nonautonomous subfamilies
evolved from autonomous subfamilies.
Diverse Origins of ERVs
ERVs arise in a species when an exogenous retrovirus in-
fects the germline. Thus, new families of ERVs evolve de
novo through horizontal introduction more frequently
than other autonomous mammalian TEs such as LINEs,
which primarily evolve through the diversification of verti-
cally inherited elements (Mager and Stoye 2015). To inves-
tigate the origins of ERVs in the deer mouse, we focused on
full-length ERVs across all identified subfamilies with flank-
ing LTRs, pol genes, and reverse transcriptase (RT) domains
(>450 bp), which we used for classification and phylogen-
etic analysis. We initially identified 148 candidate full-
length ERVs with pol genes and evidence of an RT domain.
However, many ERVs contained ambiguous sites or gaps
that interrupted or truncated the RT domain, leaving
only 52 ERVs that met our conservative requirements
tables S5 and S6, Supplementary
(supplementary
Material online). Thus, we note that our estimate of ERV
diversity is likely an underestimate.
We initially used a hidden Markov model approach
(Finn et al. 2011) to classify ERVs based on their RT do-
mains (supplementary table S6, Supplementary Material
online). Using this approach, we find that of the 52
deer mouse ERVs with full-length RT domains, 11 are
derived from gammaretroviruses (ERV1), 39 from betare-
troviruses (ERVK), and 2 from spumaretroviruses (ERVL)
(supplementary table S6, Supplementary Material online).
Phylogenetic analysis of RT domains from these ERVs and
other known retroviruses supports these initial classifica-
tions and shows that deer mouse ERVs form 14 distinct
clusters representing at least 14 independent endogeniza-
tion events spanning retroviral diversity (fig. 4A). Most of
these are derived from diverse betaretroviruses (9 of the
14), consistent with observations in other rodents (Baillie
et al. 2004; Cui et al. 2015). Additionally, four ERV clusters
show evidence of gammaretroviral origin, and one ERV
cluster shows evidence of spumaretroviral origin (fig. 4A).
To determine the age of ERVs, we conducted searches
for deer mouse ERVs in grasshopper mouse, prairie vole,
and house mouse. We find that most (9 of the 14) deer
mouse ERVs arose before the divergence of the deer mouse
and its close relative, the grasshopper mouse (∼5–13 mil-
lion years ago [MYA]) (León-Paniagua et al. 2007; Leite
et al. 2014), but after the divergence of their ancestor
lineage of the prairie vole (∼18 MYA)
and the
(Abramson et al. 2009; Kumar et al. 2017), and are thus
lineage-specific relative to house mouse (fig. 4B).
Additionally, one ERV (Beta_Pman-ERV_cluster-5) was
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introduced even more recently, after the divergence be-
tween the deer mouse and grasshopper mouse (fig. 4B).
Intra-element LTR identity for ERVs in each respective
cluster generally concurs with the timing estimate of their
successive endogenization (supplementary table S6,
Supplementary Material online). Given the relatively re-
cent origins of several deer mouse ERVs (since the diver-
gence between Peromyscus and Microtus ∼18 MYA), we
reasoned that it may be possible to trace more precisely
their origins by searching the databases for their closest ex-
ogenous retrovirus relatives. This search revealed one po-
tential case of a recent endogenization of an exogenous
Feline Leukemia Virus (FeLV), or a closely related virus,
in the ancestor of the deer mouse and grasshopper mouse
within the last ∼5–18 million years (fig. 4C; Abramson et al.
2009; Kumar et al. 2017).
Some Deer Mouse ERVs may Still be Infectious
Although ERVs only require gag and pol genes to mobilize
in the germline via retrotransposition, ERVs with intact
env genes can also replicate via reinfection (Belshaw et al.
2004). Given the relatively recent evolution of several
ERVs in the deer mouse, we inspected all intact ERVs
as well as ERV subfamily consensus sequences for intact
env genes. We find no evidence for env genes in mysTR-
related subfamilies, consistent with previous studies on
mysTR (Cantrell et al. 2005; fig. 4D and supplementary
table S4, Supplementary Material online). However, we
find putatively full-length env genes in multiple other
ERV clusters, suggesting that some deer mouse ERVs may
still be capable of infection (supplementary table S4,
Supplementary Material online). One of these is the previ-
ously mentioned FeLV-related Gamma_Pman-ERV_
cluster-10. The observation of a putatively intact env in
these ERVs is consistent with previous studies showing
that leukemia viruses remain infectious in other species
(Hoover and Mullins 1991; Polat et al. 2017; fig. 4D). We
also observe evidence of an intact env gene for ERVs within
the Beta_Pman-ERV_cluster-5. Beta_Pman-ERV_cluster-5
ERVs are absent in grasshopper mice and thus represent
some of the most recent ERVs to infiltrate the deer mouse
germline (fig. 4B and D). Interestingly, env genes from this
family show ∼60% sequence similarity to the env encoded
by intracisternal A-type particle (IAP) elements in house
mice, which are also capable of intercellular transmission
(Ribet et al. 2008), suggesting a possible origin from a similar
exogenous retrovirus (supplementary tables S4 and S6,
Supplementary Material online). Together these data sug-
gest that several ERVs derived from exogenous retroviruses
recently and some may still be infectious.
Negative Selection Shapes TE Distributions in the
Deer Mouse Genome
Most TE insertions are deleterious or neutral, and the
genomic distribution of TEs is shaped in large part by se-
lection against deleterious insertions. In the deer mouse
genome, TEs account for nearly 25% of nucleotides in
Transposable Element Interactions Shape the Ecology of the Deer Mouse Genome · https://doi.org/10.1093/molbev/msad069 MBE
FIG. 4. Origins of ERVs in the deer mouse genome. (A) Cladogram displaying a maximum likelihood tree constructed with RT domains of deer
mouse ERVs and publicly available endogenous and exogenous retroviruses for context. Internal nodes across monophyletic retroviral clades are
all strongly supported (>95% bootstrap support). Deer mouse ERVs form 14 distinct clusters spanning broad retroviral diversity (highlighted in
red). (B) Cladogram showing the approximate time of origin of deer mouse (P. maniculatus) ERVs based on the presence or absence in three
other species at increasing phylogenetic distances. ERV cluster numbers are shown on the branch corresponding to their approximate origin. For
each species, green boxes represent presence and gray boxes represent absence for each respective ERV cluster found in deer mouse. (C )
Neighbor-joining tree showing the phylogenetic relationship between Pman-ERV_cluster-10 copies in deer mouse, related ERVs in grasshopper
mouse (O. torridus), and FeLV. (D) Structure of ERVs found in deer mouse with ORFs (colored boxes); important protein domains are annotated.
Overlapping boxes represent overlapping ORFs.
protein coding genes and 30% in long noncoding RNAs
(lncRNAs) nucleotides but are relatively absent from
coding exons (permutation test, P < 0.001), suggesting
strong purifying selection on new insertions in coding
exons (fig. 5A). These patterns are consistent with ob-
servations in other mammals (Nellåker et al. 2012;
Kapusta et al. 2013; Platt et al. 2018). Comparison of
TE occupancies across chromosomes reveals that ERVs
and LINEs are prevalent on the X chromosome (occupy-
ing ∼15% and ∼17 of the X chromosome, respectively,
compared to an average of ∼12% and ∼10% for other
chromosomes; fig. 5B). This pattern is not observed for
SINEs and likely reflects the more frequent removal of
longer TEs such as LINEs and ERVs on autosomes by re-
combination or purifying selection against new inser-
tions (Kent et al. 2017; Dechaud et al. 2019). ERV
insertions around protein coding genes are also usually
deleterious since ERVs contain complex internal regula-
tory elements that can disrupt gene expression.
Consistent with this, ERVs are generally distant from
genes and significantly more distant from genes in the
same orientation (Mann Whitney U, P < 0.0001; fig.
5C). It is worth noting that this bias is most pronounced
for mysTR-related ERV subfamilies, suggesting that
these ERVs are highly deleterious, perhaps containing
regulatory sequences particularly prone to disrupt
gene expression when inserted in the same orientation
as surrounding genes.
Some ERV Subfamilies Have Possible Regulatory
Function
While most ERV subfamilies show patterns suggesting
deleterious effects affecting the expression of neighboring
genes, others display patterns consistent with possible
regulatory function. Indeed, ERV LTRs may be co-opted
for important regulatory functions over evolutionary
time (Chuong et al. 2017). We find a small subset of ERV
subfamilies to be enriched in the 5-kb region upstream
of gene transcription start sites, suggesting that these
ERVs minimally affect neighboring gene expression or
that they may contribute to host gene regulation as either
promoters or enhancers (fig. 5D). These ERVs also display
significantly higher within-subfamily divergence relative to
other lineage-specific deer mouse ERVs (Mann Whitney U,
P = 0.0048), suggesting that they primarily represent older,
inactive subfamilies (fig. 5E). Additionally, some subfam-
ilies, including MT2B1 and ORR1B1, represent lineages of
ancestrally shared elements that have been co-opted for
regulatory functions in other mammalians (Franke et al.
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FIG. 5. Genomic distribution of TEs in the deer mouse genome. (A) Respective coverage, defined as the proportion of nucleotides attributed to
TEs for a given feature, for different TE subclasses across genomic features. CDS = protein coding sequence; lncRNA = long noncoding RNA. (B)
Respective coverage for TEs across chromosomes. (C ) Box plots showing the distribution of ERV distances from the closest gene on the same
strand (red) versus when strand is ignored (gray). (D) Enrichment ratio (number observed/expected) and Bonferroni-corrected Fisher’s exact test
P-values (Q-values) for ERV subfamilies enriched within the 5 kb region upstream of genes in the same orientation. (E) Within-subfamily CpG
corrected Kimura divergence for ERV subfamilies enriched within the 5 kb region upstream of genes in the same orientation (red) compared to
all other ERV subfamilies (gray). (F ) Genomic distribution of ERV hotspots (red) across chromosomes. Lineage-specific KZNF genes are indicated
(purple triangles) and are enriched in ERV hotspots. (G) KZNFs in ERV hotspots (red) show lower Kimura divergence than other KZNFs (gray),
suggesting that they are younger. (H ) Kernel density estimates for the distribution of Kimura divergences for KZNFs outside ERV hotspots (gray),
KZNFs in ERV hotspots (red), and ERVKs (blue). Vertical dotted lines show the peak value for each distribution. (I ) Cartoon displaying an ERV
insertion interrupting a formerly intact LINE. N represents the range of observed candidate instances of ERV-mediated LINE interruption.
2017). Given the frequent and recurrent lineage-specific
ERV co-option events observed across mammals
(Feschotte 2008; Sakashita et al. 2020; Fueyo et al. 2022),
these subfamilies represent promising candidates for co-
option events in the deer mouse lineage.
ERVs Accumulate in “Hotspots” Enriched for
Kruppel-Associated Box-Zinc Finger Genes
The distribution of ERVs in the genome is largely biased to-
wards specific regions, or “hotspots”, which are enriched in
Kruppel-associated box (KRAB) domain-containing zinc
finger genes (KZNFs). We define “hotspots” as regions of
the genome in the top 95th percentile of ERV density,
where ERV density is the proportion of nucleotides attrib-
uted to ERVs in a given 100-kb genomic window (fig. 5F).
Lineage-specific ERVKs constitute over 70% of ERVs in hot-
spots, suggesting that these genomic associations are likely
lineage-specific. Furthermore, neighboring ERVs are signifi-
cantly more divergent in ERV hotspots than in other
8
regions of the genome (Mann Whitney U, P = 3.317e
−06), suggesting that hotspots arose primarily through in-
dependent insertions rather than segmental duplication
(SD) of existing insertions. ERV hotspots are largely devoid
of genes, and we observe a strong negative correlation be-
tween gene density and ERV density overall (generalized
linear model, P < 0.0001). However, we do observe some
genes in ERV hotspots. We performed a gene ontology
(GO) enrichment analysis for genes in ERV hotspots
and found significant enrichment for one biological pro-
cess term: “regulation of transcription, DNA-templated”
(two-sided Fisher’s exact test, Q < 0.00001). Scrutiny of
genes overlapping ERV hotspots that match this GO
term reveals that ∼85% (100/118) are deer mouse-
specific KZNFs (fig. 5C). We define deer mouse-specific
KZNFs based on refseq’s annotation of genes that do
not have orthologs in other species (O’Leary et al.
2016). We find that deer mouse-specific KZNFs specific-
ally are enriched in ERV hotspots, with ∼32% (100/312)
of KZNFs occurring in ERV hotspots, despite the fact
Transposable Element Interactions Shape the Ecology of the Deer Mouse Genome · https://doi.org/10.1093/molbev/msad069 MBE
that ERV hotspots only represent <5% of the genome
(two-sided Fisher’s exact test, P < 0.00001).
Coevolution of ERVs and KZNFs
It has become increasingly clear that the primary function
of KZNFs is to suppress retroelement activity (Thomas and
Schneider 2011; Yang et al. 2017; Cosby et al. 2019). KZNF
gene clusters evolve rapidly through a birth-death model
under positive selection and often expand in response to
the lineage-specific activity of retroelements, including
ERVs (Emerson and Thomas 2009; Najafabadi et al. 2015;
Wolf et al. 2020). The colocalization of KZNF genes and
ERVs in genomic space is intriguing and has been observed
previously in the house mouse (Kauzlaric et al. 2017).
Although this observation could simply be explained by re-
laxed selection on nonessential KZNF genes, two alterna-
tive, non-mutually exclusive hypotheses could explain
the observed colocalization between KZNFs and ERVs:
(1) KZNFs use neighboring ERVs as regulatory sequences
to respond to the global derepression of ERVs (Pontis
et al. 2019; Ito et al. 2020) or (2) ERVs contribute to
KZNF gene family evolution by facilitating rapid gene du-
plication and deletion (i.e., turnover) in these regions.
Indeed, ERVs are known to facilitate structural rearrange-
ments via ectopic recombination, and ERV-rich regions
of the genome can be highly plastic (Hughes and Coffin
2001; Doxiadis et al. 2008; Jern and Coffin 2008; Hermetz
et al. 2012). Interestingly, lineage-specific KZNF duplicates
in ERV hotspots exhibit significantly lower divergence
compared to other KZNFs, suggesting that genes in ERV
hotspots duplicated relatively recently (Mann Whitney
U, P = 0.0043; fig. 5G). This observation supports the idea
that KZNFs overlapping with ERV hotspots duplicate
more often, although the evolutionary processes driving
this pattern remain unclear.
Next, we examine whether lineage-specific KZNF gene
family expansion located in ERV hotspots coincides with
lineage-specific ERV activity. To do so, we compared the
age (sequence divergence) distribution of KZNF gene du-
plicates located within ERV hotspots to that of KZNFs res-
iding outside ERV hotspots and that of ERVK subfamilies,
as measured by intra-subfamily copy divergence (fig. 5H).
The distribution of duplicate divergence for KZNFs in
ERV hotspots suggests that the largest KZNF expansion oc-
curred just before or around the same time as the peak of
ERVK amplification (fig. 5H). Indeed, the median percent
divergence for lineage-specific KZNF gene duplicates in
ERV hotspots is ∼17.2%, while the within-subfamily diver-
gence for the top three most abundant ERVs in the deer
mouse genome is ∼17.4%. This pattern is consistent with
a KZNF expansion driven by the amplification of highly ac-
tive lineage-specific ERVKs. In contrast, the distribution of
duplicate divergence for KZNFs not overlapping ERV hot-
spots shows no obvious relationship to lineage-specific
ERVK activity (fig. 5H), further suggesting that the ob-
served colocalization between ERVKs and KZNFs may be
causally associated. Furthermore, some KZNF gene clusters
display much larger expansions than others: for example, a
cluster on chromosome 1 contains >90 genes, represent-
ing about one-third of lineage-specific KZNFs in the deer
mouse genome (fig. 5F). This observation suggests that
KZNFs in this chromosome 1 cluster may play an import-
ant role in suppressing ERVKs. We observe another ex-
ample on chromosome 22, which displays a cluster of 48
lineage-specific KZNF genes. Since members of the same
KZNF clusters often bind to related ERV families, the mas-
sive invasion of closely related ERVs predicts expansions of
closely related KZNFs (Wolf et al. 2020). Together, these re-
sults suggest that KZNFs in the deer mouse underwent a
large expansion in response to lineage-specific ERV activity.
Lineage-Specific ERV Insertions Interrupt LINE
Sequences
In addition to evaluating ERV distributions with respect to
genes, we also assessed ERV distributions with respect to
other TEs. We were specifically interested in how the ob-
served ERV invasion in the deer mouse might directly im-
pact pre-existing LINEs. Specifically, we sought to examine
whether ERVs could have directly impacted L1 activity by
inserting into and interrupting transposition-competent
L1. L1 families typically only have from a hundred to a
few thousand “master genes” that are transposition-
competent in mammalian genomes (Deininger et al.
1992; Brouha et al. 2003; Zemojtel et al. 2007; Platt et al.
2018). Furthermore, the L1 retrotransposition mechanism
is fairly inefficient, and the vast majority of new L1 inser-
tions are defective and incapable of mobilizing thereafter
(Fanning 1983; Grimaldi et al. 1984). Thus, disruption of
many master genes could have a considerable impact on
the evolutionary trajectory of L1s in a species.
To explore the direct impacts of ERV insertions on L1s,
we searched for ERV insertions directly flanked by L1 se-
quences from the same L1 subfamily. We then filtered
for cases in which flanking L1 sequences conjoined at
the correct coordinates with respect to the subfamily con-
sensus, forming a full-length L1. We also initially filtered for
L1s that did not contain any additional TE insertions. These
results revealed 322 prospective lineage-specific ERV inser-
tions that interrupt full-length L1 (supplementary table
S7, Supplementary Material online). However, this number
is likely a large underestimate, since it does not include frag-
mented L1s that, for example, have accumulated multiple
indels. If we include fragmented L1s as well, we find 2,664
prospective ERV insertions interrupting LINEs, 900 of which
are attributed to the two most abundant ERVK related
subfamilies (Pman_ERV2_4.503 and Pman_ERV2_4.24;
supplementary table S8, Supplementary Material online).
Interestingly, within-subfamily percent divergences for these
subfamilies (16.05% and 15.86%) suggest that they invaded
just before the decline of L1 gain (see fig. 1B, ∼15%). We
speculate that this association is no coincidence, and that
ERV insertions within potentially active L1s were a signifi-
cant driver in reducing L1 activity in the deer mouse lineage.
Punctuated L1 interruptions on these scales (322 - > 2,500
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L1 interruptions) would eliminate most functional L1s in
many mammalian species, and even on much smaller scales,
could have a catastrophic effect on the evolutionary trajec-
tory of L1s in a genome, especially given the poor success
rates of the L1 retrotransposition mechanism in producing
new fully functional L1 copies (Kazazian and Moran 1998;
Szak et al. 2002).
We also explored quantitative patterns of ERV content in
LINEs more broadly. To do so, we tested for an enrichment
of ERVs inserted within L1s across all ERV subfamilies.
Interestingly, we find that several lineage-specific ERVK sub-
families show significant enrichment within L1s relative to ran-
dom expectation (Bonferroni-corrected permutation test,
α = 0.01, N = 1000; supplementary table S9, Supplementary
Material online). For example, Pman_ERVK_4.63 elements
interrupt L1s more than 46 times more than expected by
chance (Bonferroni-corrected permutation test, Q < 0.001).
The observed enrichment for lineage-specific ERVK subfam-
ilies, representing 29 of the 36 enriched subfamilies, and
absence of enrichment for other (older) ERV subfamilies, is
consistent with our hypothesis that lineage-specific ERVK
expansion directly impacted L1 viability (supplementary
table S9, Supplementary Material online). Together, these
results suggest an intriguing model whereby ERVs and LINEs
compete for genomic sites and that ERVKs may have directly
impacted the evolutionary trajectory of LINEs in the deer
mouse lineage.
An “Ecology of the Genome” Model for the Evolution
of the Deer Mouse Genome
In the same way that species compete for space and re-
sources, TEs compete with each other for sites in the gen-
ome as well as metabolic resources (Brookfield 2005). TEs
can occupy specific niches, which can allow them to coex-
ist with limited competition, but TEs that occupy similar
niches are more likely to compete and thereby drive one
or another to extinction (Brookfield 2005; Venner et al.
2009). Furthermore, the relative success of a given TE
also depends on host suppression mechanisms and their
targets. For example, differential host targeting between
two TE families in direct competition could limit the suc-
cess of one family that would, in the absence of host de-
fense mechanisms, be more fit than the other (Venner
et al. 2009). Also, because TEs could threaten to kill their
host in the absence of host-mediated suppression, it can
be advantageous (for both the host and TEs) that host de-
fenses evolve to suppress TE activity (Venner et al. 2009).
Our model for the evolution of the distinctive TE land-
scape of the deer mouse supports the notion of “genomic
ecology” (Brookfield 2005). We postulate that the intro-
duction of mysTR-related ERVs caused a shift in the deer
mouse TE landscape through the following processes
(fig. 6): first, mysTR ERVs evaded host defenses upon germ-
line infiltration, which allowed them to expand to large
numbers. This hypothesis is supported by the observation
that mysTR ERVs are highly divergent from other known
retroviruses as well as the remarkable expansion of deer
10
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mouse-specific KZNFs
following peak ERV activity
(Cantrell et al. 2005). In mammals, ERVs are the primary
targets of KZNF suppression, whereas LINEs and SINEs
are less frequently targeted, probably because ERV inser-
tions are more regulatorily potent and therefore more
deleterious (Wolf et al. 2015; Zhou et al. 2020). These
host defenses keep ERVs in check, despite evidence that
LINEs and ERVs compete for similar sites in the genome.
First, many ERVs and LINEs both preferentially integrate
into AT rich regions (Medstrand et al. 2002; Babushok
et al. 2006; Nellåker et al. 2012; Campos-Sánchez et al.
2016). Thus, ERVs and LINEs often inhabit similar regions
of the genome and frequently insert within each other
(Campos-Sánchez et al. 2016). Second, ERV insertions in
LINEs (or vice versa) are likely invisible to selection and exhibit
a higher rate of fixation relative to deleterious insertions
(Campos-Sánchez et al. 2016). Under these circumstances,
in the absence of host defense mechanisms, we expect the pri-
mary driver of ERV or LINE success in the genome to be rela-
tive rates of gain of transposition-competent copies. Thus, we
postulate that the massive expansion of mysTR ERVs nearly
drove LINEs to extinction in the deer mouse genome. Since
this initial ERV invasion, we postulate that expansions of
host KZNF repertoires helped stabilize ERV activity in the gen-
ome and were likely aided by the proliferation of nonautono-
mous ERV derivatives. These suppression mechanisms likely
enabled more sustainable ERV activity by limiting the rate
of ERV expansion and reducing fitness cost.
More generally, we propose that this model may explain
the loss of LINE activity in other mammals. A subclade of
sigmodontine rodents for example (∼13–18 MYA di-
verged from the deer mouse; Abramson et al. 2009; Leite
et al. 2014; Kumar et al. 2017; Gonçalves et al. 2020) repre-
sents one of the few mammalian lineages to have experi-
enced LINE extinction (Yang et al. 2019). Consistent with
our model, previous studies suggest that LINE extinction
in this group followed an invasion of mysTR-related
ERVs on a similar or possibly larger scale to that observed
for the deer mouse (Cantrell et al. 2005; Erickson et al.
2011). At present, the lack of genome assemblies for
sigmodontine rodents makes it challenging to study TEs in
these species. However, a recent study examining TE content
in mammals notes that cricetid rodents exhibit the highest
rates of recent LTR retrotransposon accumulation among
mammals (Osmanski et al. 2022). Overall, we hypothesize
that for an ERV invasion to have a similar effect on LINE ac-
tivity in another mammal, the causal ERV must arise from a
divergent retrovirus (unfamiliar to host suppression machin-
ery), show similar integration preference to that of LINEs, and
rapidly evolve nonautonomous derivatives. Future studies in
other species, which show unique patterns of mammalian
genome composition, will shed further light on evolutionary
conflicts that drive mammalian genome evolution.
Concluding Remarks
Although TE landscapes differ drastically across species,
most mammalian genomes are similarly dominated by
Transposable Element Interactions Shape the Ecology of the Deer Mouse Genome · https://doi.org/10.1093/molbev/msad069 MBE
FIG. 6. Model for deer mouse genome evolution.
LINE (and SINE) non-LTR retrotransposons. The deer
mouse, P. maniculatus, represents one of the few excep-
tions to this pattern: LTR elements occupy more of the
genome than LINEs. We find that the distinct genomic
landscape of TEs in the deer mouse reflects a massive ex-
pansion of ERVs as well as a dearth of LINE activity, and
that the two phenomena are likely associated. Our results
show that a broad diversity of ERVs invaded the deer
mouse genome and that the infiltration of one ERV family
in particular, mysTR, played a prominent role in establish-
ing its unique TE landscape. Furthermore, we note that re-
ported ERV copy numbers and diversity are likely a vast
underestimate since the current deer mouse genome as-
sembly was generated with short reads (Peona et al. 2021).
Based on these findings, we postulate that the propen-
sity for a mammalian genome to undergo a shift in TE con-
tent and/or experience LINE extinction is directly related
to its susceptibility to invasion by divergent TEs—in this
case, ERVs. Furthermore, the accumulation of ERVs in
specific genomic hotspots raises additional questions
about how TE-dense regions can affect mammalian gen-
ome evolution. Indeed, we would expect such regions to
experience structural rearrangements more often than
other regions of the genome. Previous studies in the
deer mouse have identified many large inversions (>1
Mb in length), which are polymorphic, even within popu-
lations (Hager et al. 2022; Harringmeyer and Hoekstra
2022). Could these ERV hotspots have played a role in fa-
cilitating deer mouse inversions? We also observe enrich-
ment of KZNF gene families which evolve rapidly via
duplication within ERV hotspots. Is the colocalization of
KZNFs and ERVs advantageous for the host due to the in-
creased propensity for KZNF gene family expansion? We
show that KZNFs in ERV hotspots are indeed younger
than other KZNFs, providing some support for the
coevolution of these genomic features. However, within-
population studies are critical to further elucidate this
coevolutionary relationship. Together, our results have
11
Gozashti et al.
· https://doi.org/10.1093/molbev/msad069
MBE
broad implications and open up a range of opportunities
to investigate the evolutionary processes that give rise to
the evolution of mammalian genome structure.
deer mouse proteins with parameters (-max_target_seqs
25 -culling_limit 2 -evalue 10e-10) and filtered all TEs
with unknown classifications that shared homology with
proteins.
Methods
Obtaining Relevant Genomic Data
We downloaded publicly available TE annotations for
human, Homo sapiens (GCF_000001405.40; genome
contig N50 = 57,879,411; contig L50 = 18); house mouse,
M. musculus (GCF_000001635.27; genome contig N50 =
59,462,871; contig L50 = 15); Norway rat, Rattus norvegicus
(GCF_015227675.2; genome contig N50 = 29,198,295;
contig L50 = 27); and prairie vole, M. ochrogaster
(GCF_000317375.1; genome contig N50 = 21,250; contig
L50 = 29,205)
from RepeatMasker (http://www.repeat
masker.org/genomicDatasets/RMGenomicDatasets.html)
and for grasshopper mouse, O. torridus from NCBI
(GCF_903995425.1; genome contig N50 = 2,276,141; con-
tig L50 = 308). We used the deer mouse, P. maniculatus,
genome assembly available
(refseq
GCF_003704035.1; contig N50 = 30,111; contig L50 =
23,323) for all genomic analyses. Retroviral sequences for
ERV phylogenetic analysis were downloaded from NCBI.
Genbank accession numbers and for these sequences are
shown in fig. 4A.
through NCBI
TE Discovery and Annotation
We used a combination of systematic and manual techni-
ques to identify and annotate TEs in the deer mouse gen-
ome. We started by using an approach similar to the
EarlGrey pipeline (github.com/TobyBaril/EarlGrey/; Baril
and Hayward 2022). We first identified known rodent
TEs in the deer mouse genome using RepeatMasker (ver-
sion 4.1.2, https://www.repeatmasker.org/) with a curated
set of rodent TEs from the DFAM database (Hubley
et al. 2016) and the flags -nolow, -norna, and -s. Next, we
constructed a de novo repeat library using RepeatModeler2
(version 2.0.1), with RECON (version 1.08) and RepeatScout
(version 1.0.5) (Bao and Eddy 2002; Price et al. 2005;
Flynn et al. 2020). Maximum-length consensus sequences
were generated for putative de novo TEs identified by
RepeatModeler using an automated version of the “Basic
Local Alignment Search Tool (BLAST), Extract, Extend”
process through EarlGray (Platt et al. 2016). Briefly,
EarlGray first performs a BLASTn search to obtain the
top hits for each TE subfamily (Camacho et al. 2009).
Then, it aligns the 1,000 base pairs of flanking retrieved se-
quences using multiple alignment using fast fourier trans-
form (MAFFT; version 7.453; Katoh and Standley 2013).
Following this, alignments are trimmed using trimAl (ver-
sion 1.4) with
-cons 60;
Capella-Gutiérrez et al. 2009). Finally, consensus sequences
are updated using European molecular biology open soft-
ware suite cons (-plurality 3; Rice et al. 2000). This process
is then repeated five times. Following this, we performed
blastx (Camacho et al. 2009) searches against all known
the options
(-gt 0.6
12
families were
Following the automated processes described above,
alignments for TE families were individually inspected
using AliView (Larsson 2014) and poorly represented po-
sitions were manually trimmed as recommended by
Storer et al. (2021). Families were also manually realigned
using extract_align.py (Platt et al. 2016) and MAFFT (ver-
sion 7.453; Katoh and Standley 2013) and then reexa-
mined. Manually curated TE
then
re-clustered using cd-hit-est (Fu et al. 2012) and families
were merged based on the 80-80-80 rule criterion
(Wicker et al. 2007). We also used TE-Aid (https://
github.com/clemgoub/TE-Aid) to identify TE-associated
ORFs and sequence features such as LTRs when classify-
ing TEs. We combined our final de novo TE library with
the Rodent DFAM TE library (Hubley et al. 2016) and an-
notated TEs
the deer mouse genome using
RepeatMasker. To identify full-length LTR elements, we
used LTR_FINDER (Xu and Wang 2007) and LTRharvest
(Ellinghaus et al. 2008) through EDTA_raw with the
flag -type ltr (version 2.0.0; Ou et al. 2019), which also re-
port LTR divergence for each element. TE annotations
were defragmented and refined using RepeatCraft with
the flag -loose (Wong and Simakov 2019), and overlap-
ping annotations were resolved in favor of the longer
element using MGKit (version 0.4.1) filter-gff (Rubino
and Creevey 2014).
in
Identifying Functional Machinery for Putatively
Autonomous TEs
To identify the protein machinery of potentially autono-
mous LINE and LTR elements, we extracted all LINE ele-
ments longer than 2700 bp and LTR elements longer
than 5000 bp from the deer mouse genome. Then, we
also used TE-Aid (https://github.com/clemgoub/TE-Aid)
to identify ORFs in each retrieved LTR and LINE element
with homology to known TE genes. We used hmmer
(Finn et al. 2011) and relevant hmms available from
GyDB (Llorens et al. 2011) and PFAM (Mistry et al. 2021)
to identify retroviral protein domains as well as NCBI’s
conserved domain search tool (Marchler-Bauer et al.
2015; Marchler-Bauer et al. 2017).
Calculating k Coefficients
We calculated the DNA loss coefficient k (Lindblad-Toh
et al. 2005), using the formula E = Ae − kt, where E is the
amount of extant ancestral DNA in the species considered,
A is the ancestral assembly size, and t is the time. We cal-
culated E for each species by subtracting the amount of
genomic DNA attributed
from
the amount of DNA attributed to ancient shared mamma-
lian TEs (retrieved from Kapusta et al. 2017). We used 2.8
Gb for A and 100 million years for t as in Kapusta et al.
(2017).
lineage-specific TEs
Transposable Element Interactions Shape the Ecology of the Deer Mouse Genome · https://doi.org/10.1093/molbev/msad069 MBE
Identifying Nonautonomous ERV-Like Elements
Since the deer mouse genome was produced primarily
with short reads, most ERVs have internal gaps or strings
of low quality or ambiguous nucleotides. Thus, to decipher
nonautonomous ERV-like elements from autonomous
ERVs, we used a strict criterion. For a given ERV subfamily
to be considered nonautonomous, we required at least five
full-length copies which lack identifiable ORFs as well as
ambiguous nucleotides. We performed global pairwise
alignments between nonautonomous and autonomous
ERVK consensus sequences using the global alignment
software AVID with default parameters (Bray et al. 2003).
We visualized alignments using VISTA (Frazer et al. 2004).
ERV Classification and Phylogenetic Analysis
We used two complementary approaches to classify deer
mouse ERVs. First, we examined e-value statistics in the
output from our GyDB hmm scans to discern which viral
RT domain hmm best fit each ERV. In addition, we also
used a phylogenetic approach. We annotated ERVs with
their viral origin as predicted by our hmm scans. Next,
we downloaded several endogenous and exogenous retro-
viruses from NCBI (accessions shown in fig. 4A), extracted
their RT domains, and annotated them with their respect-
ive viral clade. Then, we filtered sequences with large
strings of ambiguous characters, performed a multiple se-
quence alignment of RT genes using MAFFT (Katoh and
Standley 2013), and generated a maximum likelihood-
based phylogeny using IQ-TREE (Minh et al. 2020) with a
GTR + G model (general time reversible model with un-
equal rates and unequal base frequencies and discrete
gamma rate heterogeneity; Yang 1994). We constructed
a consensus tree across 1,000 replicates using IQ-TREE’s
-bb flag (Yang 1994). All internal nodes separating mono-
phyletic ERV clades were strongly supported (>95% boot-
strap support). We analyzed and edited the resulting
phylogeny using ete3 (version 3.1.2) (Huerta-Cepas et al.
2016), collapsing clusters of deer mouse ERVs into repre-
sentative nodes. We visualized the phylogenetic tree using
the interactive tree of life (Letunic and Bork 2021) and
FigTree
(version 1.4.4; https://github.com/rambaut/
figtree). To search for homology between deer mouse
ERVs and MysTR, we used blastn (Camacho et al. 2009)
to align deer mouse ERV consensus sequences to a previ-
ously
(Genbank
DQ139737.1; Cantrell et al. 2005).
isolated MysTR pol-pro sequence
Searching for Deer Mouse ERVs in Other Species
To search for deer mouse ERVs in the house mouse, prairie
vole, and grasshopper mouse genomes, we performed local
BLASTn (Camacho et al. 2009) queries for each full-length
deer mouse ERV to each respective genome. We ran
BLASTn (Camacho et al. 2009) with the flag -outfmt 6
and required a minimum alignment length of 400 bp
and minimum percent identity of 75 to limit possible erro-
neous hits. As a proof of concept, we also made sure our
results were consistent with expectations based on LTR
divergences. For example, we would not expect an ERV
with highly divergent LTRs (a signature of a more ancient
insertion) to be specific to the deer mouse. We also per-
formed broader BLASTn queries against NCBI’s nucleotide
database. Queries for Gamma_Pman-ERV_cluster-10 se-
quences yielded high-confidence hits in deer mouse spe-
cies, the grasshopper mouse, and a FeLV reference
genome (Genbank AB060732.3). BLAST queries of FeLV
(AB060732.3) back to the non-redundant nucleotide data-
base also showed best hits to the deer mouse and grass-
hopper mouse genomes when other FeLV genomes were
excluded. A neighbor-joining phylogeny constructed
from deer mouse Gamma_Pman-ERV_cluster-10 se-
quences, homologous ERVs in the grasshopper mouse gen-
ome, and FeLV (AB060732.3) suggest a scenario in which
Gamma_Pman-ERV_cluster-10 originated in the common
ancestor the deer mouse and grasshopper mouse from
FeLV or another closely related exogenous virus between
5 and 18 MYA.
TE Distribution Analysis
We used bedtools intersect (Quinlan and Hall 2010) to
find overlaps between TE annotations and gene feature an-
notations. We used bedtools closest (Quinlan and Hall
2010) with the parameter -s to identify TE distances
from the nearest gene on the same strand and again
with default parameters to ignore strand. All functional
enrichment
tests were performed using goatools
(Klopfenstein et al. 2018). We also tested for enrichment
or depletion of TEs 5 kb upstream of genes in the same
orientation. Specifically, for each TE subfamily, we rando-
mized all TE locations on each chromosome and com-
pared the number of TEs within 5 kb of genes upstream
in the same orientation with the observed value. We per-
formed two-sided Fisher’s exact tests comparing the num-
ber of observed and expected elements within these
regions to obtain P-values. Fisher’s exact P-values and per-
mutation test P-values were adjusted using the Bonferroni
method to obtain Q-values. This revealed eight subfamilies
that displayed enrichment for the 5 kb regions upstream
of genes in the same orientation (supplementary table
S10, Supplementary Material online). However, enrich-
ment of SDs in these regions could also cause a similar pat-
tern. To test this alternative, we used SEDEF (version 1.1)
(Numanagic et al. 2018) with default parameters to iden-
tify SDs in the deer mouse genome. Then, for each en-
riched ERV subfamily, we intersected SD coordinates
with the 5 kb regions upstream of genes harboring at least
one element in the same orientation. We then compared
SD coverage in these regions for each ERV subfamily
with expectations from randomization for 1,000 permuta-
tions. This revealed that genes containing RMER15 copies
within 5 kb upstream in the same orientation also dis-
played enrichment for SDs, suggesting that SDs could al-
ternatively explain RMER15 (supplementary table S10,
Supplementary Material online). Thus, we did not include
RMER15 in figure 5D. We used bedtools coverage (Quinlan
13
Gozashti et al.
· https://doi.org/10.1093/molbev/msad069
and Hall 2010) to calculate ERV and gene density along
100 kb windows in the genome. ERV hotspots were de-
fined as windows which exhibit ERV densities within the
top 95th percentile. ERV hotspots could arise through
two possible non-mutually exclusive mechanisms: inde-
pendent insertion of ERVs in specific genomic regions
and SD of pre-existing ERV insertions. One expectation
of the latter is that neighboring ERVs of the same subfamily
would exhibit more similar divergences from the consen-
sus in ERV hotspots (if they arose from a duplication of
the one original insertion) than in other regions of the
genome. To assess this possibility, we compared delta
divergence from the consensus between neighboring
ERVs (|neighbor_1_div—neighbor_2_div|) in ERV hot-
spots to other regions of the genome and report a signifi-
cant trend in the opposite direction (Mann Whitney U,
P = 3.317e−06), suggesting that SD is not the primary con-
tributing mechanism to ERV hotspot formation. Figure 5F
was produced using RIdeogram (Hao et al. 2020).
KZNF Gene Family Analysis
We defined deer mouse-specific zinc finger (ZF) genes as
genes which do not have recognizable orthologs as anno-
tated by NCBI. We employed hmmscan (Finn et al. 2011)
using KRAB hmms downloaded from PFAM (Mistry
et al. 2021) to identify KRAB domain-containing ZFs
(KZNFs). Then, we performed a multiple sequence align-
ment of all KZNFs using Clustal omega (Sievers et al.
2011) with the parameters -use-kimura and -full in order
to simultaneously produce a pairwise Kimura divergence
matrix across all genes. We constructed a subsequent phyl-
ogeny using IQ-TREE (Minh et al. 2020) with a general time
reversible model. To test for phylogenetic clustering of
KZNF that overlapped ERV hotspots, we used phyloclust
through RRphylo R package (Castiglione et al. 2018) with
100 simulations. Since KZNF genes evolve via a birth-death
process, we define duplicate genes as genes that exhibit
the lowest divergence among all pairwise comparisons.
ERV-Mediated LINE Interruption
To identify candidate LINEs interrupted by ERVs, we
searched for LINE fragments which would be full length
(>5000 bp) if connected but exhibit an ERV sequence
which splits them with respect to their subfamily consen-
sus (supplementary table S7, Supplementary Material on-
line). This yielded 322 candidate ERV-mediated LINE
interruptions, 121 of which represented lineage-specific
LINEs. In this first analysis, we excluded LINEs which
showed more than two fragments. If we include those as
well, we find 2,664 candidate ERV-mediated LINE interrup-
tions. We employed a permutation test to quantitatively
assess biased representation of ERVs in LINEs. We did
this separately for each ERV subfamily. To do this, we com-
pared the observed number of ERV insertions inside LINEs
(ERV sequences flanked on both sides by LINE sequences
from the same subfamily) to expectations by randomiza-
tion 1,000 times. We calculated the proportion of
14
MBE
iterations that ERVs interrupted LINEs more than expected
to obtain a P-value for each ERV subfamily. Then we per-
formed a Bonferroni correction to obtain Q-values
(supplementary table S8, Supplementary Material online).
Acknowledgments
The authors thank Daniel Hartl, Russell Corbett-Detig,
Andreas Kautt, and Scott W. Roy for feedback on this
Imbeault and Timothy
manuscript, and Michael
B. Sackton
is an
Investigator of the Howard Hughes Medical Institute.
for helpful discussions. H.E.H.
Supplementary material
Supplementary data are available at Molecular Biology and
Evolution online.
Data availability
No new data were generated in support of this research. TE
models were deposited in the DFAM database.
References
Abramson NI, Lebedev VS, Bannikova AA, Tesakov AS. 2009.
Radiation events in the subfamily Arvicolinae (Rodentia): evi-
dence from nuclear genes. Dokl Biol Sci. 428:458–461.
Abrusán G, Krambeck H-J. 2006. Competition may determine the di-
versity of transposable elements. Theor Popul Biol. 70:364–375.
Babushok DV, Ostertag EM, Courtney CE, Choi JM, Kazazian HH Jr.
2006. L1 integration in a transgenic mouse model. Genome Res.
16:240–250.
Baillie GJ, van de Lagemaat LN, Baust C, Mager DL. 2004. Multiple
groups of endogenous betaretroviruses in mice, rats, and other
mammals. J Virol. 78:5784–5798.
Bao Z, Eddy SR. 2002. Automated de novo identification of repeat
sequence families in sequenced genomes. Genome Res. 12:
1269–1276.
Baril T, Hayward A. 2022. Migrators within migrators: exploring
in the monarch butterfly,
transposable element dynamics
Danaus plexippus. Mob DNA. 13:5.
Bedford NL, Hoekstra HE. 2015. The natural history of model organ-
isms: peromyscus mice as a model for studying natural variation.
Elife. 4:e06813.
Belshaw R, Pereira V, Katzourakis A, Talbot G, Paces J, Burt A, Tristem
M. 2004. Long-term reinfection of the human genome by en-
dogenous retroviruses. Proc Natl Acad Sci. 101:4894–4899.
Bourque G, Burns KH, Gehring M, Gorbunova V, Seluanov A,
Hammell M, Imbeault M, Izsvák Z, Levin HL, Macfarlan TS,
et al. 2018. Ten things you should know about transposable ele-
ments. Genome Biol. 19:199.
Bray N, Dubchak I, Pachter L. 2003. AVID: a global alignment pro-
gram. Genome Res. 13:97–102.
Brookfield JFY. 2005. The ecology of the genome—mobile DNA ele-
ments and their hosts. Nat Rev Genet. 6:128–136.
Brouha B, Schustak J, Badge RM, Lutz-Prigge S, Farley AH, Moran JV,
Kazazian HH Jr. 2003. Hot L1s account for the bulk of retrotran-
sposition in the human population. Proc Natl Acad Sci. 100:
5280–5285.
Camacho C, Coulouris G, Avagyan V, Ma N, Papadopoulos J, Bealer K,
Madden TL. 2009. BLAST+: architecture and applications. BMC
Bioinformatics. 10:421.
Transposable Element Interactions Shape the Ecology of the Deer Mouse Genome · https://doi.org/10.1093/molbev/msad069 MBE
Campos-Sánchez R, Cremona MA, Pini A, Chiaromonte F, Makova
KD. 2016. Integration and fixation preferences of human and
mouse endogenous retroviruses uncovered with functional
data analysis. PLoS Comput Biol. 12:e1004956.
Cantrell MA, Ederer MM, Erickson IK, Swier VJ, Baker RJ, Wichman
HA. 2005. MysTR: an endogenous retrovirus family in mammals
that is undergoing recent amplifications to unprecedented copy
numbers. J Virol. 79:14698–14707.
Capella-Gutiérrez S, Silla-Martínez JM, Gabaldón T. 2009. Trimal: a
tool for automated alignment trimming in large-scale phylogen-
etic analyses. Bioinformatics. 25:1972–1973.
Casavant NC, Sherman AN, Wichman HA. 1996. Two persistent
LINE-1 lineages in Peromyscus have unequal rates of evolution.
Genetics. 142:1289–1298.
Castiglione S, Tesone G, Piccolo M, Melchionna M, Mondanaro A,
Serio C, Di Febbraro M, Raia P. 2018. A new method for testing
evolutionary rate variation and shifts in phenotypic evolution.
Methods Ecol Evol. 9:974–983.
Chuong EB, Elde NC, Feschotte C. 2017. Regulatory activities of trans-
posable elements: from conflicts to benefits. Nat Rev Genet. 18:
71–86.
Cosby RL, Chang N-C, Feschotte C. 2019. Host-transposon interac-
tions: conflict, cooperation, and cooption. Genes Dev. 33:
1098–1116.
Cui J, Tachedjian G, Wang L-F. 2015. Bats and rodents shape mam-
malian retroviral phylogeny. Sci Rep. 5:16561.
Dechaud C, Volff J-N, Schartl M, Naville M. 2019. Sex and the TEs:
transposable elements in sexual development and function in
animals. Mob DNA. 10:42.
Deininger PL, Batzer MA, Hutchison CA 3rd, Edgell MH. 1992. Master
genes in mammalian repetitive DNA amplification. Trends Genet.
8:307–311.
Doxiadis GGM, de Groot N, Bontrop RE. 2008. Impact of endogenous
intronic retroviruses on major histocompatibility complex class
II diversity and stability. J Virol. 82:6667–6677.
Eickbush TH. 1992. Transposing without ends: the non-LTR retro-
transposable elements. New Biol. 4:430–440.
Ellinghaus D, Kurtz S, Willhoeft U. 2008. LTR harvest, an efficient and
flexible software for de novo detection of LTR retrotransposons.
BMC Bioinformatics. 9:18.
Emerson RO, Thomas JH. 2009. Adaptive evolution in zinc finger
transcription factors. PLoS Genet. 5:e1000325.
Erickson IK, Cantrell MA, Scott L, Wichman HA. 2011. Retrofitting
the genome: l1 extinction follows endogenous retroviral expan-
sion in a group of muroid rodents. J Virol. 85:12315–12323.
Fanning TG. 1983. Size and structure of the highly repetitive BAM HI
element in mice. Nucleic Acids Res. 11:5073–5091.
Feschotte C. 2008. Transposable elements and the evolution of regu-
latory networks. Nat Rev Genet. 9:397–405.
Finn RD, Clements J, Eddy SR. 2011. HMMER Web server: interactive
sequence similarity searching. Nucleic Acids Res. 39:W29–W37.
Flynn JM, Hubley R, Goubert C, Rosen J, Clark AG, Feschotte C, Smit
AF. 2020. Repeatmodeler2 for automated genomic discovery of
transposable element families. Proc Natl Acad Sci. 117:9451–9457.
Ford Doolittle W, Sapienza C. 1980. Selfish genes, the phenotype
paradigm and genome evolution. Nature. 284:601–603.
Franke V, Ganesh S, Karlic R, Malik R, Pasulka J, Horvat F, Kuzman
M, Fulka H, Cernohorska M, Urbanova J, et al. 2017. Long terminal
repeats power evolution of genes and gene expression programs
in mammalian oocytes and zygotes. Genome Res. 27:1384–1394.
Frazer KA, Pachter L, Poliakov A, Rubin EM, Dubchak I. 2004. VISTA:
computational tools for comparative genomics. Nucleic Acids
Res. 32:W273–W279.
Fu L, Niu B, Zhu Z, Wu S, Li W. 2012. CD-HIT: accelerated for cluster-
ing the next-generation sequencing data. Bioinformatics. 28:
3150–3152.
Fueyo R, Judd J, Feschotte C, Wysocka J. 2022. Roles of transposable
elements in the regulation of mammalian transcription. Nat Rev
Mol Cell Biol. 23:1–17.
Furano AV, Duvernell DD, Boissinot S. 2004. L1 (LINE-1) retrotrans-
poson diversity differs dramatically between mammals and fish.
Trends Genet. 20:9–14.
Gifford RJ, Blomberg J, Coffin JM, Fan H, Heidmann T, Mayer J, Stoye J,
Tristem M, Johnson WE. 2018. Nomenclature for endogenous
retrovirus (ERV) loci. Retrovirology. 15:59.
Gonçalves PR, Christoff AU, Machado LF, Bonvicino CR, Peters FB,
Percequillo AR. 2020. Unraveling deep branches of the
Sigmodontinae tree (Rodentia: Cricetidae) in Eastern South
America. J Mamm Evol. 27:139–160.
Grimaldi G, Skowronski J, Singer MF. 1984. Defining the beginning
and end of KpnI family segments. EMBO J. 3:1753–1759.
Hager ER, Harringmeyer OS, Wooldridge TB, Theingi S, Gable JT,
McFadden S, Neugeboren B, Turner KM, Jensen JD, Hoekstra HE.
2022. A chromosomal inversion contributes to divergence in mul-
tiple traits between deer mouse ecotypes. Science. 377:399–405.
Hao Z, Lv D, Ge Y, Shi J, Weijers D, Yu G, Chen J. 2020. RIdeogram:
drawing SVG graphics to visualize and map genome-wide data
on the idiograms. PeerJ Comput Sci. 6:e251.
Harringmeyer OS, Hoekstra HE. 2022. Chromosomal inversion poly-
morphisms shape the genomic landscape of deer mice. Nat Ecol
Evol. 6:1965–1975.
Hermetz KE, Surti U, Cody JD, Rudd MK. 2012. A recurrent transloca-
is mediated by homologous recombination between
tion
HERV-H elements. Mol Cytogenet. 5:6.
Hoover EA, Mullins JI. 1991. Feline leukemia virus infection and dis-
eases. J Am Vet Med Assoc. 199:1287–1297.
Hubley R, Finn RD, Clements J, Eddy SR, Jones TA, Bao W, Smit AFA,
Wheeler TJ. 2016. The dfam database of repetitive DNA families.
Nucleic Acids Res. 44:D81–D89.
Huerta-Cepas J, Serra F, Bork P. 2016. ETE 3: reconstruction, analysis, and
visualization of phylogenomic data. Mol Biol Evol. 33:1635–1638.
Hughes JF, Coffin JM. 2001. Evidence for genomic rearrangements
mediated by human endogenous retroviruses during primate
evolution. Nat Genet. 29:487–489.
Ito J, Kimura I, Soper A, Coudray A, Koyanagi Y, Nakaoka H, Inoue I,
Turelli P, Trono D, Sato K. 2020. Endogenous retroviruses drive
KRAB zinc-finger protein family expression for tumor suppres-
sion. Sci Adv. 6:eabc3020.
Jern P, Coffin JM. 2008. Effects of retroviruses on host genome func-
tion. Annu Rev Genet. 42:709–732.
Kapusta A, Kronenberg Z, Lynch VJ, Zhuo X, Ramsay L, Bourque G,
Yandell M, Feschotte C. 2013. Transposable elements are major
contributors to the origin, diversification, and regulation of ver-
tebrate long noncoding RNAs. PLoS Genet. 9:e1003470.
Kapusta A, Suh A, Feschotte C. 2017. Dynamics of genome size
evolution in birds and mammals. Proc Natl Acad Sci. 114:
E1460–E1469.
Katoh K, Standley DM. 2013. MAFFT multiple sequence alignment
software version 7: improvements in performance and usability.
Mol Biol Evol. 30:772–780.
Kauzlaric A, Ecco G, Cassano M, Duc J, Imbeault M, Trono D. 2017.
The mouse genome displays highly dynamic populations of
KRAB-zinc finger protein genes and related genetic units. PLoS
One. 12:e0173746.
Kazazian HH Jr. 2004. Mobile elements: drivers of genome evolution.
Science. 303:1626–1632.
Kazazian HH Jr, Moran JV. 1998. The impact of L1 retrotransposons
on the human genome. Nat Genet. 19:19–24.
Kent TV, Uzunović J, Wright SI. 2017. Coevolution between transpos-
able elements and recombination. Philos Trans R Soc Lond B Biol
Sci. 372:1736.
Klein SJ, O’Neill RJ. 2018. Transposable elements: genome innovation,
chromosome diversity, and centromere conflict. Chromosome
Res. 26:5–23.
Klopfenstein DV, Zhang L, Pedersen BS, Ramírez F, Warwick
Vesztrocy A, Naldi A, Mungall CJ, Yunes JM, Botvinnik O,
Weigel M, et al. 2018. GOATOOLS: a python library for gene
ontology analyses. Sci Rep. 8:10872.
15
Gozashti et al.
· https://doi.org/10.1093/molbev/msad069
Kumar S, Stecher G, Suleski M, Hedges SB. 2017. Timetree: a resource
for timelines, timetrees, and divergence times. Mol Biol Evol. 34:
1812–1819.
Larsson A. 2014. Aliview: a fast and lightweight alignment viewer and
editor for large datasets. Bioinformatics. 30:3276–3278.
Lee RN, Jaskula JC, van den Bussche RA, Baker RJ, Wichman HA.
1996. Retrotransposon mys was active during evolution of
the Peromyscus leucopus-maniculatus complex. J Mol Evol. 42:44–51.
Leite RN, Kolokotronis S-O, Almeida FC, Werneck FP, Rogers DS,
Weksler M. 2014. In the wake of invasion: tracing the historical
biogeography of the South American cricetid radiation
(Rodentia, Sigmodontinae). PLoS One. 9:e100687.
León-Paniagua L, Navarro-Sigüenza AG, Hernández-Baños BE,
Morales JC. 2007. Diversification of the arboreal mice of the
genus Habromys (Rodentia: Cricetidae: Neotominae) in the
mesoamerican highlands. Mol Phylogenet Evol. 42:653–664.
Letunic I, Bork P. 2021. Interactive tree of life (iTOL) v5: an online
tool for phylogenetic tree display and annotation. Nucleic
Acids Res. 49:W293–W296.
Lindblad-Toh K, Wade CM, Mikkelsen TS, Karlsson EK, Jaffe DB,
Kamal M, Clamp M, Chang JL, Kulbokas EJ 3rd, Zody MC, et al.
2005. Genome sequence, comparative analysis and haplotype
structure of the domestic dog. Nature. 438:803–819.
Llorens C, Futami R, Covelli L, Domínguez-Escribá L, Viu JM, Tamarit
D, Aguilar-Rodríguez J, Vicente-Ripolles M, Fuster G, Bernet GP,
et al. 2011. The gypsy database (GyDB) of mobile genetic ele-
ments: release 2.0. Nucleic Acids Res. 39:D70–D74.
Mager DL, Freeman JD. 2000. Novel mouse type D endogenous pro-
viruses and ETn elements share long terminal repeat and internal
sequences. J Virol. 74:7221–7229.
Mager DL, Stoye JP. 2015. Mammalian endogenous retroviruses.
Microbiol Spectr. 3:1.
Marchler-Bauer A, Bo Y, Han L, He J, Lanczycki CJ, Lu S, Chitsaz F,
Derbyshire MK, Geer RC, Gonzales NR, et al. 2017.
CDD/SPARCLE: functional classification of proteins via subfamily
domain architectures. Nucleic Acids Res. 45:D200–D203.
Marchler-Bauer A, Derbyshire MK, Gonzales NR, Lu S, Chitsaz F, Geer
LY, Geer RC, He J, Gwadz M, Hurwitz DI, et al. 2015. CDD: NCBI’s
conserved domain database. Nucleic Acids Res. 43:D222–D226.
Medstrand P, van de Lagemaat LN, Mager DL. 2002. Retroelement
distributions in the human genome: variations associated with
age and proximity to genes. Genome Res. 12:1483–1495.
Minh BQ, Schmidt HA, Chernomor O, Schrempf D, Woodhams MD,
von Haeseler A, Lanfear R. 2020. IQ-TREE 2: new models and ef-
ficient methods for phylogenetic inference in the genomic era.
Mol Biol Evol. 37:1530–1534.
Mistry J, Chuguransky S, Williams L, Qureshi M, Salazar GA,
Sonnhammer ELL, Tosatto SCE, Paladin L, Raj S, Richardson LJ,
et al. 2021. Pfam: the protein families database in 2021. Nucleic
Acids Res. 49:D412–D419.
Najafabadi HS, Mnaimneh S, Schmitges FW, Garton M, Lam KN,
Yang A, Albu M, Weirauch MT, Radovani E, Kim PM, et al.
2015. C2h2 zinc finger proteins greatly expand the human regu-
latory lexicon. Nat Biotechnol. 33:555–562.
Nellåker C, Keane TM, Yalcin B, Wong K, Agam A, Belgard TG, Flint J,
Adams DJ, Frankel WN, Ponting CP. 2012. The genomic land-
scape shaped by selection on transposable elements across 18
mouse strains. Genome Biol. 13:R45.
Numanagic I, Gökkaya AS, Zhang L, Berger B, Alkan C, Hach F. 2018.
Fast characterization of segmental duplications in genome as-
semblies. Bioinformatics. 34:i706–i714.
O’Leary NA, Wright MW, Brister JR, Ciufo S, Haddad D, McVeigh R, Rajput
B, Robbertse B, Smith-White B, Ako-Adjei D, et al. 2016. Reference se-
quence (RefSeq) database at NCBI: current status, taxonomic expan-
sion, and functional annotation. Nucleic Acids Res. 44:D733–D745.
Orgel LE, Crick FH. 1980. Selfish DNA: the ultimate parasite. Nature.
284:604–607.
Osmanski AB, Paulat NS, Korstian J, Grimshaw JR, Halsey M, Sullivan
KAM, Moreno-Santillán DD, Crookshanks C, Roberts J, Garcia C,
16
MBE
et al. 2022. Insights into mammalian TE diversity via the curation
of 248 mammalian genome assemblies. bioRxiv. [cited 2023 Jan
20]. Available from: https://www.biorxiv.org/content/10.1101/
2022.12.28.522108v1.full
Ou S, Su W, Liao Y, Chougule K, Agda JRA, Hellinga AJ, Lugo CSB,
Elliott TA, Ware D, Peterson T, et al. 2019. Benchmarking trans-
posable element annotation methods for creation of a stream-
lined, comprehensive pipeline. Genome Biol. 20:275.
Peona V, Blom MPK, Xu L, Burri R, Sullivan S, Bunikis I, Liachko I,
Haryoko T, Jønsson KA, Zhou Q, et al. 2021. Identifying the
causes and consequences of assembly gaps using a multiplatform
genome assembly of a bird-of-paradise. Mol Ecol Resour. 21:
263–286.
Platt RN 2nd, Blanco-Berdugo L, Ray DA. 2016. Accurate transpos-
able element annotation is vital when analyzing new genome as-
semblies. Genome Biol Evol. 8:403–410.
Platt RN 2nd, Vandewege MW, Ray DA. 2018. Mammalian transpos-
impacts on genome evolution.
able elements and their
Chromosome Res. 26:25–43.
Polat M, Takeshima S-N, Aida Y. 2017. Epidemiology and genetic di-
versity of bovine leukemia virus. Virol J. 14:209.
Pontis J, Planet E, Offner S, Turelli P, Duc J, Coudray A, Theunissen
TW, Jaenisch R, Trono D. 2019. Hominoid-specific transposable
elements and KZFPs facilitate human embryonic genome activa-
tion and control transcription in naive human ESCs. Cell Stem
Cell. 24:724–735.e5.
Price AL, Jones NC, Pevzner PA. 2005. De novo identification of repeat
families in large genomes. Bioinformatics. 21:i351–i358.
Quinlan AR, Hall IM. 2010. BEDTools: a flexible suite of utilities for
comparing genomic features. Bioinformatics. 26:841–842.
Ribet D, Dewannieux M, Heidmann T. 2004. An active murine trans-
poson family pair: retrotransposition of “master” MusD copies
and ETn trans-mobilization. Genome Res. 14:2261–2267.
Ribet D, Harper F, Dupressoir A, Dewannieux M, Pierron G,
Heidmann T. 2008. An infectious progenitor for the murine
IAP retrotransposon: emergence of an intracellular genetic para-
site from an ancient retrovirus. Genome Res. 18:597–609.
Rice P, Longden I, Bleasby A. 2000. EMBOSS: the European molecular
biology open software suite. Trends Genet. 16:276–277.
Rubino F, Creevey CJ. 2014. MGkit: metagenomic framework for the
study of microbial communities. [Internet]. Available from:
https://figshare.com/articles/poster/MGkit_Metagenomic_
Framework_For_The_Study_Of_Microbial_Communities/1269288/1
Sakashita A, Maezawa S, Takahashi K, Alavattam KG, Yukawa M, Hu
Y-C, Kojima S, Parrish NF, Barski A, Pavlicev M, et al. 2020.
Endogenous retroviruses drive species-specific germline tran-
scriptomes in mammals. Nat Struct Mol Biol. 27:967–977.
Senft AD, Macfarlan TS. 2021. Transposable elements shape the
evolution of mammalian development. Nat Rev Genet. 22:
691–711.
Sievers F, Wilm A, Dineen D, Gibson TJ, Karplus K, Li W, Lopez R,
McWilliam H, Remmert M, Söding J, et al. 2011. Fast, scalable
generation of high-quality protein multiple sequence alignments
using clustal Omega. Mol Syst Biol. 7:539.
Sotero-Caio CG, Platt RN 2nd, Suh A, Ray DA. 2017. Evolution and
in vertebrate genomes.
diversity of transposable elements
Genome Biol Evol. 9:161–177.
Storer JM, Hubley R, Rosen J, Smit AFA. 2021. Curation guidelines for
de novo generated transposable element families. Curr Protoc. 1:
e154.
Szak ST, Pickeral OK, Makalowski W, Boguski MS, Landsman D,
Boeke JD. 2002. Molecular archeology of L1 insertions in the hu-
man genome. Genome Biol. 3:research0052.
Thomas JH, Schneider S. 2011. Coevolution of retroelements and
tandem zinc finger genes. Genome Res. 21:1800–1812.
van de Lagemaat LN, Landry J-R, Mager DL, Medstrand P. 2003.
Transposable elements in mammals promote regulatory vari-
ation and diversification of genes with specialized functions.
Trends Genet. 19:530–536.
Transposable Element Interactions Shape the Ecology of the Deer Mouse Genome · https://doi.org/10.1093/molbev/msad069 MBE
Venner S, Feschotte C, Biémont C. 2009. Dynamics of transposable
elements: towards a community ecology of the genome.
Trends Genet. 25:317–323.
Wells JN, Feschotte C. 2020. A field guide to eukaryotic transposable
elements. Annu Rev Genet. 54:539–561.
Wichman HA, Potter SS, Pine DS. 1985. Mys, a family of mammalian
isolated by phylogenetic screening.
transposable elements
Nature. 317:77–81.
Wicker T, Sabot F, Hua-Van A, Bennetzen JL, Capy P, Chalhoub B,
Flavell A, Leroy P, Morgante M, Panaud O, et al. 2007. A unified
classification system for eukaryotic transposable elements. Nat
Rev Genet. 8:973–982.
Wolf G, de Iaco A, Sun M-A, Bruno M, Tinkham M, Hoang D, Mitra A,
Ralls S, Trono D, Macfarlan TS. 2020. KRAB-zinc finger protein
gene expansion in response to active retrotransposons in the
murine lineage. Elife. 9:e56337.
Wolf G, Greenberg D, Macfarlan TS. 2015. Spotting the enemy with-
in: targeted silencing of foreign DNA in mammalian genomes by
the Krüppel-associated box zinc finger protein family. Mob DNA.
6:17.
Wong WY, Simakov O. 2019. Repeatcraft: a meta-pipeline for repeti-
tive element de-fragmentation and annotation. Bioinformatics.
35:1051–1052.
Xu Z, Wang H. 2007. LTR_FINDER: an efficient tool for the prediction
of full-length LTR retrotransposons. Nucleic Acids Res. 35:
W265–W268.
Yang Z. 1994. Maximum likelihood phylogenetic estimation from
DNA sequences with variable rates over sites: approximate
methods. J Mol Evol. 39:306–314.
Yang L, Scott L, Wichman HA. 2019. Tracing the history of LINE and
SINE extinction in sigmodontine rodents. Mob DNA. 10:22.
Yang P, Wang Y, Macfarlan TS. 2017. The role of KRAB-ZFPs in trans-
posable element repression and mammalian evolution. Trends
Genet. 33:871–881.
Zemojtel T, Penzkofer T, Schultz J, Dandekar T, Badge R, Vingron M.
2007. Exonization of active mouse L1s: a driver of transcriptome
evolution? BMC Genomics. 8:392.
Zhou W, Liang G, Molloy PL, Jones PA. 2020. DNA methylation en-
ables transposable element-driven genome expansion. Proc
Natl Acad Sci. 117:1935.
17
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10.1088_2752-5295_acf4b5.pdf
|
Data availability statement
The data that support the findings of this study are openly available in the Harvard Dataverse at https://doi.
org/10.7910/DVN/2UT4GM (Hauer 2023).
|
Data availability statement The data that support the findings of this study are openly available in the Harvard Dataverse at https://doi. org/10.7910/DVN/2UT4GM (Hauer 2023) .
|
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Environ. Res.: Climate 2 (2023) 045004
https://doi.org/10.1088/2752-5295/acf4b5
PAPER
Sea level rise already delays coastal commuters
Mathew E Hauer1,4, Valerie Mueller2,3,∗ and Glenn Sheriff2
1 Department of Sociology, Florida State University, Tallahassee, FL, United States of America
2 School of Politics and Global Studies, Arizona State University, Tempe, AZ, United States of America
3 International Food Policy Research Institute, Washington, DC United States of America
4 Mathew Hauer is the primary author of the paper. Map data copyrighted OpenStreetMap contributors and available from www.
openstreetmap.org. This material is based upon work supported by the National Science Foundation under Grant Number 1939841.
∗
Author to whom any correspondence should be addressed.
E-mail: vmuelle1@asu.edu
Keywords: sea level rise, adaptation, transportation, climate change impacts, king tides
Supplementary material for this article is available online
Abstract
Although the most dire societal impacts of sea-level rise (SLR) typically manifest toward the end of
the 21st century, many coastal communities face challenges in the present due to recurrent tidal
flooding. Few studies have documented transportation disruptions due to tidal flooding in the
recent past. Here, we address this issue by combining home and work locations for approximately
500 million commuters in coastal US counties from 2002 to 2017. We find tidal flooding delays
coastal commuters by approximately 22 min per year in 2015–2017, increasing to between 200 and
650 min by 2060 under various SLR scenarios. Adjustments in residential and work locations
reduce the growth in commuting delays for approximately 40% of US counties. For residents in
coastal counties, SLR is not a distant threat—it is already lapping at their toes.
1. Main text
Sea-level rise (SLR) is one of the most visible and costly impacts of climate change (Church et al 2013,
Oppenheimer et al 2019). With sea levels expected to rise up to 2.5 m by 2100 (Sweet et al 2017,
Oppenheimer et al 2019), scientists routinely quantify the potential multitude of impacts of SLR over the
next eighty to 2000+ years (Strauss et al 2015, Clark et al 2016, Oppenheimer et al 2019), focusing on
impacts deep into the future when they will be presumed greatest.
Although the most worrying societal impacts of SLR (displacement and permanent submergence)
typically manifest toward the end of the 21st century (Kulp and Strauss 2019, Oppenheimer et al 2019, Hauer
et al 2020), many coastal communities face daunting impacts in the present due to recurrent tidal or high tide
flooding (Dahl et al 2017, Moftakhari et al 2017, Sweet et al 2018). We use ‘tidal flooding’ to refer to only
tide-based inundation, i.e. excluding precipitation (Hague and Taylor 2021). Our definition differs from that
used by other studies focusing on tidal flooding above minimum thresholds (e.g. Sweet et al 2018)4. Studies
focusing exclusively on directly affected areas find tidal flooding causes coastal erosion (Hinkel et al 2013),
saltwater intrusion (Chang et al 2011), reduced property values (McAlpine and Porter 2018), damaged
property (Bukvic and Harrald 2019), submerged transportation routes (Jacobs et al 2018), and exposure of
thousands of people to general flood risks (Kulp and Strauss 2019). Given the interconnectedness of coastal
communities, e.g. via commuting (Kasmalkar et al 2021), SLR impacts will likely indirectly affect inland,
higher elevation coastal areas. The extent to which coastal commutes might be delayed due to inundation on
roadways is presently uncertain for the coastal United States.
Some research has linked tidal flooding to transportation networks. These studies use prescribed flood
levels rather than historical tide data (Jacobs et al 2018, Kasmalkar et al 2020), limited transportation routes
4 Many factors can influence sea levels including storm surge, precipitation, currents, trapped waves, etc (Ezer and Atkinson 2014, Barnard
et al 2017). Our definition of ‘tidal flooding’ includes all factors as measured at NOAA stations.
© 2023 The Author(s). Published by IOP Publishing Ltd
Environ. Res.: Climate 2 (2023) 045004
M E Hauer et al
to major roads (Jacobs et al 2018, Kasmalkar et al 2020), annual daily traffic data rather than actual
commuter data (Jacobs et al 2018), or limit their analysis to specific areas (Jacobs et al 2018, Kasmalkar et al
2020, Shen and Kim 2020, Hauer et al 2021, Praharaj et al 2021). Most notably, Jacobs et al (2018) and Fant
et al (2021) link average annual traffic on major roadways to road inundation and calculate
road-segment-specific travel delays in the absence of alternative routing to ‘dry’ routes. No such
national-level estimate of commuting delays presently exist that account for alternative routing to avoid or
minimize delays along flooded roadways. These shortcomings combine to create incomplete estimates of SLR
and tidal flooding impacts on commuting in coastal communities.
Using national-level routing, commuting, and elevation data, we overcome these issues to estimate the
burden SLR driven tidal flooding imposes on commuting times with a dynamic routing algorithm to allow
for commuters to route around flooding-related delays. By combining commuter data with detailed road
networks in a flood hazard model we assess the commuting delays associated with present and future SLR
driven tidal flooding.
Our analytical framework addresses three primary questions concerning SLR impacts in coastal
communities in the United States: (1) What is the current commuting time burden imposed by SLR driven
tidal flooding and what areas does SLR driven tidal flooding burden the most? (2) How have changes in
commuting behavior and residential location affected this burden? And (3) What is the future commuting
time burden, absent further behavioral changes?
We estimate commuting delays attributable to recurrent tidal flooding by combining multiple large-scale
georeferenced data sources within a travel optimization routine. Namely, we combine (1) the home and work
(HW) locations for 74 million census block group (CBG) located in 222 coastal counties and 158 non-coastal
counties for 500 million commuter-years in the period 2002–2017 (U.S. Census Bureau 2020), (2) a complete
road network from Open Street Map (OpenStreetMap contributors 2017), (3) data from eighty-four tide
stations across the US from National Oceanographic and Atmospheric Administration’s (NOAA) Center for
Operational Oceanographic Products and Services (CO-OPs) tide gauge database (Chamberlain 2020,
NOAA CO-OPs 2020), (4) the National Levee Database (US Army Corps of Engineers 2020), and (5) digital
elevation models from both NOAA (NOAA 2020) and the US Geological Survey (Gesch et al 2002).
We converted OSM’s street network into dual-weighted directed graphs and calculated the minimum
travel times between HW CBGs, conditional on flood depth on roadways, between 2002 and 2017 and
projected in 2060 using NOAA’s global mean SLR scenarios (Sweet et al 2017). As roadways become
inundated over time and travel velocity slows, we dynamically adjust travel routes to ensure commuters select
the path with the least travel time for a given amount of roadway inundation. Both the change in the
commuters along a HW pair and the change in tide heights due to SLR contribute to changes in commuting
delays over time. Changes in commuters along a HW pair can theoretically reflect adaptive residential or
work location changes to reduce flood-related commuting delays—all else equal—and we isolate this
behavior using a two-factor decomposition (Gupta 1991). We refer to this adaptive behavior as
‘accommodation’, as opposed to ‘retreat’ or ‘adaptation’ broadly, since it is an adaptation response that
reduces vulnerability to commuting delays without protection or necessarily retreat (Oppenheimer et al
2019).
2. Methods and materials
First, we describe the data sets used in our analysis. Second, we describe the methods to estimate commuting
delays.
Data. We use five primary data sources to estimate commuting delays: commuting information, road
network data, tide gauge data, levee data, and digital elevation models.
Commuting information comes from the U.S. Census Bureau’s Longitudinal Employer-Household
Dynamics (LEHD) Origin-Destination Employment Statistics (LODES) for the period 2002–2017 (U.S.
Census Bureau 2020). LEHD-LODES is a partially synthetic dataset for paired CBG residential (home) and
employment (work) locations in the United States. We downloaded these data for all coastal counties (n =
222), limiting our analysis to respondents with differing home and work CBGs. For computational
tractability, we subset the complete ‘commuting area’ of any given coastal county to those counties that are
(i) within 100 miles of the coastal county centroid, and that (ii) contain at least 1% of the commuters into
the coastal county. As illustrated in figure 1, on average this procedure captures nearly 90% of a county’s
commuters (median 89%, 80% of counties capture at least 81% of commuters). Overall, it yields 74 million
CBG origin-destination pairs.
Due to unavailability of historical data, data sharing limitations, or quality assurance problems, three
states in our analysis have incomplete commuting data: New Hampshire in 2002, Mississippi in 2002 and
2003, and Massachusetts from 2002–2010. Massachusetts lack of data for 2002–2010 also impacts New
2
Environ. Res.: Climate 2 (2023) 045004
M E Hauer et al
Figure 1. Distribution of county commuters within 100 miles of destination county and containing at least 1% of commuters. The
median county captures approximately 90% of commuters.
Hampshire, as nearly 30% of New Hampshire commuters are missing between 2003 and 2010. All other
states contain complete commuting data for the entire period. We therefore exclude Mississippi commuters
prior to 2004 and Massachusetts and New Hampshire commuters prior to 2011.
We obtain road network data from Open Street Map (OSM). OSM is an open-source, free, editable map
of world street networks and features built from volunteers. OSM data include speed limits, network
connectivity, and road segment characteristics useful for our analysis such as ‘tunnel’ and ‘bridge.’ Previous
analyses of the completeness and accuracy of OSM data suggest sufficient georeferenced accuracy
(El-Ashmawy 2016, Brovelli et al 2017). We obtain all road network types (primary, motorway, residential,
etc) except for service road types for any destination coastal county, any origin commuter county within 100
miles and containing at least 1% of commuters, and any county in between for our analysis.
We obtain tide gauge data for 84 tide stations across the US from NOAA’s Center for Operational
Oceanographic Products and Services (CO-OPs) tide gauge database. Figure 2 shows the geographic
distribution of tide gauages. We download hourly verified water heights for the period 2002–2019 using the
‘rnoaa’ package (Chamberlain 2020), in the R programming language and subset the tide gauges for the max
water height during readings between the hours of 05:00 and 20:00 for Monday through Friday—the
primary commuting days and hours in most areas. We normalize the annual number of commuting days to a
standardized 250-day year. To correct for extreme water levels which might correspond with extreme weather
events such as tropical cyclones, we use an outlier detection algorithm (Chen and Liu 1993, de Lacalle 2019)
to search and correct for these extreme water levels by building counterfactual tide gauge series. We use the
counterfactual value in time periods where the observed gauge reading exceeds τ ⩾ 10 (t-score), correcting
only the most extreme water levels. We assign a tide gauge to each county based on shortest distance as the
crow flies. For computational tractability, we group tide gauge readings into five discrete bins corresponding
to the <90th, <98th, <99.5th, <99.9th, and >99.9th percentiles for each gauge.
Notably, the two periods in our historical analysis (2002–2004 and 2015–2017) take place at different
points in both the perigean and El Ni˜no cycles (Goodman et al 2018). Consequently, this analysis is best
interpreted as measuring the effects of changes in water levels between these periods resulting from the
combined impact of all influences of water levels at tide gauges, rather than those attributable to global
warming-induced sea level rise alone.
Levee data come from the National Levee Database (NLD) maintained by the US Army Corps of
Engineers. The NLD is a nationally comprehensive database on levee systems in the United States. We
obtained georeferenced levee information for the 22 states in our analysis.
Digital elevation models (DEMs) come from two sources. For areas threatened by SLR we use NOAA’s
Digital Coast, which is based on 1/9 arcsecond (10 m) or less horizontal resolution. For counties outside of
3
Environ. Res.: Climate 2 (2023) 045004
M E Hauer et al
Figure 2. Geographic distribution of the 84 tide gauges used.
NOAA’s coverage, we download DEMs from the National Elevation Dataset (NED) at 1/3 arcsecond
resolution (Gesch et al 2002).
Methods. We calculate commuting delay in five steps (Hauer et al 2021). First, we model road inundation
depth as a function of a given tide gauge reading. Second, we model travel velocity for each road segment as a
function of inundation. Third, we select the fastest route between any two points, conditional on this
velocity. Fourth, we use the observed distribution of annual tide gauge readings to calculate the average
annual flooding delay for a given pair of points. Fifth, we obtain aggregate commuting delays for any given
area as the weighted average annual delay over all home-work location pairs, with weights corresponding to
the number of commuters traveling from a given home location to a work location in the period.
Step 1: Road inundation as a function of tide guage.
We combine road network, DEM, levee, and tide gauge data to calculate flood inundation for each road
segment. We apply a ‘bathtub’ hydrological model, similar to NOAA’s tidal flooding mapping procedure 5,
calculating road segment inundation levels as the difference between the water levels reported at the tide
gauge and the road surface elevation. Any road segment in the OSM wholly located inside of the area of a
levee is given an elevation of 100 m, setting its elevation far above any flood height, and any road segment
partially located inside of the area of a levee (e.g. when a road segment begins outside of a levee and
terminates inside of a levee) we assume the road segment elevation is the mean of the two points. Any road
segment located outside of any DEM for any reason (due to being either very far inland via a circuitous
route) is also assigned an elevation of 100 m.
To aid in computational tractability, we divide tide gauge data into the five discrete bins outlined above.
With each road segment assigned an elevation value, z, we subtract tide gauge bin gb from road segment z to
produce the flood depth i for any given segment.
Step 2: Travel velocity as a function of local inundation.
We model travel velocity v in mph along any given road segment as a function of the speed limit L and
the mm of road inundation i:
8
<
v(i) =
:
(cid:8)
L
min
1
L, 0.6[0.0009i2 − 0.5529i + 86.9448]
(cid:9)
i <= 0
0 < i < 300
300 < i.
(1)
This is the depth-disruption function fitted by Pregnolato et al (2017) but modified in four key ways.
First, if a road segment elevation z is above the tide gauge level gb and thus road inundation i is less than 0,
we assume vehicle speed is the speed limit, i.e. the road segment is unaffected by tidal flooding. Second, if
5 https://coast.noaa.gov/data/digitalcoast/pdf/slr-inundation-methods.pdf.
4
Environ. Res.: Climate 2 (2023) 045004
M E Hauer et al
flooding is less than 300 mm, we assume vehicle speed to be the minimum of the speed limit or the
maximum safe speed estimated by Pregnolato et al (2017). This ensures when the maximum safe speed is
above the speed limit, we assign travel velocity as the speed limit. Third, we assume a maximum safe speed of
one mph, rather than zero, after inundation reaches 300 mm, which is the average depth at which passenger
vehicles start to float. Fourth, any road segment in the OSM listed as either a ‘tunnel’ or a ‘bridge’ is
presumed to be unaffected by road inundation and thus is assigned the speed limit.
Step 3: Calculating optimal travel times.
To find the optimal travel route between two points we first identify each individual origin (home) and
destination (work) location conditional on tide gauge bin gb. We assume that the precise location of each
origin and destination is the population weighted mean center for each CBG. We then locate the nearest road
segment to each population weighted mean centroid as the origin and destination.
Road networks can be conceptualized as dual-weighted directed graphs where the weight is given as the
travel velocity. We use the dodgr (Padgham 2019) package in R to convert each county’s road network into a
dual-weighted directed graph. The travel time along each road segment is calculated based on the segment’s
length and its speed limit, producing a ‘weighted’ travel time along a road segment. The travel time between
any two points is then calculated as the sum of the weight values. The ‘fastest’ route is simply calculated as the
minimal total sum of weight values for all routes between two points. We calculate the fastest route between
each origin and destination CBG under each tide gauge bin b and one ‘dry’ route, assuming the absence of
any flooding.
Step 4: Average annual flooding delays for each home-work pair.
Let µh,w
y denote daily mean annual flooding delay in min per commuter for any HW pair (h, w) in year y.
It is the weighted average difference between the commute time conditional on the inundation level implied
by tide bin b, mh,w
, with weights pby, the number of days in year y with tide
levels in bin b:
, and the ‘dry’ commute time mh,w
b
b
h
P
5
b=1
µh,w
y =
i
− mh,w
by
mh,w
b
P
5
b=1 pby
· pby
.
Since the number of workdays varies year to year, we calculate the total annual round trip tide-induced
delay per commuter for a normalized 250 workday year as
Given a number of commuters, c h,w
y
, the total min of delay for (h, w) is then
y = 2 · 250 · µh,w
t h,w
y
.
y = t h,w
dh,w
y
c h,w
y
.
Step 5: Projected SLR commuting delays.
To compute anticipated water depths in 2060, we add the change in NOAA global mean low,
intermediate, and extreme SLR scenarios in Sweet et al (2017) to the underlying tide distributions for each
tide gauge. These scenarios correspond with 2100 SLR values of 0.3 m, 0.9 m, and 2.5 m, respectively, which
translate to 2060 values of 0.19 m, 0.45 m, and 0.9 m. Our projections assume no changes in the shape of the
distribution of annual tide values, just a shift in the distribution (Kirezci et al 2020, Taherkhani et al 2020).
Accommodation effects from tide effects.
For any given (h, w) pair between 2002 and 2017, changes in total commuting delays can come from two
main changes: a change in the number of commuters (which we refer to as the ‘accommodation effect’) and a
change in the tide values (which we refer to as the ‘tide effect’). We employ a Das Gupta decomposition
(Gupta 1991) to isolate the change in commuting delays attributable to these two factors. For a given (h, w)
pair and two periods (1,2) the change in the total delay can be expressed:
dh,w
2
− dh,w
1 =
3. Results
h
2
1 + th,w
th,w
2
|
c h,w
2
{z
Accomodation effect
− c h,w
1
i
}
+
h
1 + c h,w
c h,w
2
|
2
th,w
2
{z
Tide effect
− th,w
1
i
}
.
(2)
Our models show that tidal flooding delayed the average commuter by a total of 23.3 min in 2017 (figure 3).
The total delay increased from 11.9 in 2002—more than doubling in fifteen years. Even with some of the
lowest SLR scenarios (0.3 m by 2100), this commuting delay is projected to increase by a factor of seven by
5
Environ. Res.: Climate 2 (2023) 045004
M E Hauer et al
Figure 3. Commuting delays in the United States, 2002–2017 and in 2060 under varying SLR scenarios. Estimates reflect total
annual commuting delay for workers employed in coastal communities. Colored dots in 2060 correspond to predicted tide levels
based on NOAA SLR curves (Sweet et al 2017) for low (0.3 m), intermediate (1.0 m), and extreme (2.5 m) by 2100. Uncertainty
reflects the 90th percentile confidence or prediction interval. Sea-level rise is already delaying US coastal commuters.
Figure 4. Commuting delays in US States, 2002–2017. Estimates reflect total annual commuting delay for workers employed in
coastal communities. Results for Mississippi in 2002/2003, and New Hampshire and Massachusetts in 2002–2010 excluded due to
data quality issues. Every coastal state experiences some amount of SLR commuting delay and all states experience increased
delays since 2002.
2060 (183 min) and could increase by a factor of twenty-four under high end SLR scenarios by 2060 (643 min
with 2.5 m of SLR by 2100).
All coastal US states experience tidal-flood induced commuting delays and an increase in these delays
since 2002 (figure 4). In 2015–2017, Georgia (251 min), North Carolina (92.4 min), and Massachusetts
(64.5 min) were the only states with more than one hour of annual commuting delays (table 1). By 2060,
6
Environ. Res.: Climate 2 (2023) 045004
M E Hauer et al
Table 1. Average Annual Commuting Delays in min for US States, 2002–2060. 2060 Intermediate (low-extreme) values refer to SLR
under three 2100 scenarios — 1.0 m [0.3 m - 2.5 m]. These correspond to SLR in 2060 of 0.45 m [0.19 m - 0.9 m].
State 2002–2004 2015–2017 % Increase
2060 Intermediate
[low-extreme]
state 2002–2004 2015–2017 % Increase
TOT 9.94
7.59
AL
CA 19.6
CT 0.469
2.59
DE
FL
1.64
GA 86.1
LA
6.11
ME 4.05
MD 2.3
MA —
22.4
16.5
32.2
0.797
3.94
7.54
251
7.98
7.54
5.46
64.5
126%
117%
66%
69%
51%
360%
192%
30%
87%
138%
—
MS —
359 [183 - 643]
NH —
326 [136 - 495]
NJ
9.45
457 [246 - 725]
NY 11.4
27.6 [9.58 - 62.9]
NC 55.8
223 [58.2 - 545]
OR 13.1
109 [53.4 - 159]
0.108
2794 [1451 - 5296] RI
SC 10.6
687 [155 - 1189]
TX 0.0753
91.3 [51.1 - 187]
186 [68.8 - 284]
VA 5.97
1051 [560 - 2148] WA 4.73
0.0711
13.4
20.9
18.4
92.4
19
0.178
34.2
0.148
14.9
8.3
—
—
123%
60%
66%
45%
63%
225%
96%
150%
75%
2060 Intermediate
[low-extreme]
16.5 [2.42 - 31.9]
227 [118 - 513]
411 [193 - 782]
325 [174 - 652]
2052 [864 - 3669]
209 [119 - 385]
5.3 [2.14 - 9.55]
362 [194 - 586]
3.7 [1.19 - 7.38]
269 [130 - 476]
92.6 [53.4 - 168]
Figure 5. Annual Commuting delays in 2015–2017 and in 2060 with intermediate SLR (0.9 m by 2100) for US counties. Counties
not included in the study area are colored in gray.
even low-end SLR (0.3 m by 2100) will increase commuting delays in coastal areas by an order of magnitude
within the next forty years without some form of adaptation.
Commuting delays are unevenly distributed across space (figure 5). For many coastal counties, SLR
commuting delays are presently minimal with the median annual commuting delay of just over 3 min in
2017 but by 2060 with intermediate SLR, we estimate the median annual commuting delay will increase to
99.5 min. Three counties—Washington NC (3057 min), McIntosh GA (1275 min), and Tyrrell NC
(695 min)—experience over 500 min of annual delay. Twenty-three counties experienced more than 100 min
of commuter delay in 2017—approximately the median delay in 2060 under intermediate SLR. For the
residents in these counties, SLR is not a distant threat—it is already lapping at their toes.
Unlike population exposure to inundation (Hauer et al 2016), which heavily threatens the US South, SLR
impacts are not isolated to specific regions of the US. Places like San Francisco CA, Boston MA, and
Savannah GA already see significant commuting delays due to recurrent tidal flooding. These are areas with
high king tides, generally longer distance commutes, roadways along low-elevation coastlines, and generally,
few, if any, alternative routes. Other major population centers, like Houston TX, Los Angeles CA, and New
York NY, presently experience minimal, if any, commuting delays attributable to more alternative routes
along higher-elevation inland areas. Areas with the greatest delays tend to contain more long-distance
commutes, along roadways with higher maximum speed, containing fewer alternative, ‘drier’ routes.
Additionally, we investigate how adjustments to commuter home or work locations (or both) have
affected commuting delays. Some HW pairs might experience increasing delays due to tidal flooding but
decreasing delays due to changes in the number of commuters along that HW pair. These changes are
unlikely to be due to technological shifts to increased remote work as the number of non-commuters
7
Environ. Res.: Climate 2 (2023) 045004
M E Hauer et al
Figure 6. Accommodation to commuting delays between 2002–2017 for Home-Work pairs with non-zero impacts in 2015-2017
for US counties . (a) shows the top and bottom eight counties with the greatest and least Accommodation effects. ‘Commuters’
refers to the number of commuters with non-zero commuting delays in 2015–2017. ‘Tot Increase’ refers to the total increase in
commuting delays between 2002 and 2017. ‘Tide Effect’ is the raw increase in commuting delays if the home-work commuters
remained unchanged in 2002–2004 but exposed to tides in 2015–2017. ‘Accommodation’ refers to the decomposed effect due to
changes in either home or work locations between 2002–2004 and 2015–2017 with tides kept constant in 2002–2004. (b) maps
these accommodation effects. Counties not included in the study area or excluded due to data limitations are colored in gray.
(i.e. those commuting to the CBG in which they reside) accounted for 1.33% of commuters in 2002 and
1.39% in 2017, suggesting little increase in ‘home commuting.’
We decompose the change between 2002–2004 and 2015–2017 into the contributions from rising water
levels and to changes in the allocation of commuters along HW pairs (what we call the ‘accommodation
effect’(Hauer et al 2021)) using a two-factor Das Gupta style decomposition (Gupta 1991) for HW pairs with
non-zero commuting delays in 2015–2017 (see Methods). Changes in commuter behavior regarding choices
of residential and workplace location reduced the impact of flooding delays in 95 (43%) counties (figure 6).
However, these accommodation effects are not uniform across the US coast. In parts of California, Georgia,
and Florida, for example, the number of commuters increased in highly affected routes, further exacerbating
flood-induced delays.
4. Discussion
Understanding of SLR thresholds at which people adopt adaptive behavior to reduce their exposure and
vulnerability to SLR impacts remains severely limited (Hauer et al 2020), though there is a general
understanding that people theoretically must adapt to or accommodate higher water levels. Most examples of
contemporary SLR adaptation tend to focus on large governmental infrastructure projects such as
deployment of pumps or protective infrastructure (Fu et al 2017), whereas examples of individual adaptation
strategies are mostly limited to either theoretical options for coastal residents (Kwadijk et al 2010) or
localized case studies with minimal identification of thresholds or tipping points (Jamero et al 2017). Here,
we describe how changes in commuter behavior across the coastal US have amplified or reduced the impact
of rising tides on commute times. It remains to be seen whether some of the anticipated commuting delays
(figure 5 and supplementary material) over the coming decades leave enough space for further
accommodation to occur without large scale intervention.
Much of the literature surrounding SLR impacts assesses flood impacts on housing (Hallegatte et al 2013,
Hinkel et al 2014), critical infrastructure (Heberger et al 2011, Storlazzi et al 2018), or populations (Strauss
et al 2015, Kulp and Strauss 2019). Temporal horizons associated with these impact assessments can be as
short as 100 years (Hinkel et al 2014) and as long as 2000 years (Strauss et al 2015), pushing much of these
impacts into the deep future. Additionally in many of these impact assessments, what is ‘impacted’ is defined
by residence within a flooded area. Our results demonstrate two important considerations for SLR impact
assessments. First, SLR impacts in the form of commuting delays are presently occurring in US coastal
8
Environ. Res.: Climate 2 (2023) 045004
M E Hauer et al
communities. In principle, changes in commuter behavior could ameliorate these delays if people were to
choose HW locations less vulnerable to tidal flooding. Although we are not able to determine a causal
relationship between flood exposure and commuting choices, it does not appear that such accommodating
behavior adaptations have been sufficiently widespread as to effectively counter the effect of rising tides.
Changes in commuter behavior between 2002 and 2017 reduce flooding delays in less than half of the
counties compared to a counterfactual in which residential and workplace locations did not change.
Assuming a value of time equal to the median hourly wages of workers in 2019 in each county6, the cost of
commuting delays increased from $154.7 M in 2002 to more than $439.7 M in 2017. Without significant
additional accommodation, adaptation, or mitigation of carbon emissions, these costs could top $3.4 B in
2060 with low SLR or $11.8 B with extreme SLR. These estimates of lost wages are considerably lower than
Fant et al (2021)’s estimates of economic damages of $1.3–$1.5 B in 2020 and $28–$37 B in 2050 likely due to
our inclusion of alternative routing along ‘drier’ routes. Second, impacts are not limited to residents
immediately adjacent to a coastline but extend to commuters elsewhere (see supplementary figure 1 for an
interactive map). Repeated obstruction of transportation routes can impede the flow of goods, affecting
business operating costs, employment opportunities, and the cost of living in the long term. Limiting
research to flooding impacts of storm surges or inundation on property values underestimates potential SLR
impacts in flooding-adjacent areas.
Calls to uncover more specific SLR impacts beyond just flood risk (Hauer et al 2020) make clear the
importance analyzing SLR impacts as integrated natural and social systems. For example, recent findings
concerning reduced property values in repetitive flood loss areas (McAlpine and Porter 2018), soil
salinization on agricultural livelihoods (Chen and Mueller 2018), and climate gentrification responses to SLR
flooding (Keenan et al 2018) are some such mechanisms integrating natural and social systems together. In
this article, we investigate another specific mechanism in the form of recurrent tidal flooding on commuting
delays. In the future, scientists should consider more integrated natural-social systems when investigating
SLR impacts, moving beyond just flood hazard and flood risk into the actual social systems in coastal
communities.
We make several simplifying assumptions for computational tractability. We assess road water depth with
a bathtub model that assumes perfect hydrologic connectivity, potentially overestimating the inundation on
roadways. Tidal flooding adversely impacts local drainage systems and since we do not model precipitation,
we do not include the possibility of roadway inundation due to rainfall and tidal flooding, potentially
underestimating the inundation on roadways (Gold et al 2023). Our model does not account for traffic
congestion or public transportation, nor does it include the less than 1.5% of people who live and work
within the same CBG, potentially underestimating the commuting delays. Finally, most tidal flooding occurs
for several hours, possibly coinciding with morning, evening, or both commutes, depending on when and
for how long the high tide lasts. By simplifying to round trip, it is possible we overstate our results.
Data availability statement
The data that support the findings of this study are openly available in the Harvard Dataverse at https://doi.
org/10.7910/DVN/2UT4GM (Hauer 2023).
ORCID iDs
Mathew E Hauer https://orcid.org/0000-0001-9390-5308
Valerie Mueller https://orcid.org/0000-0003-1246-2141
Glenn Sheriff https://orcid.org/0000-0001-9642-5529
References
Barnard P L et al 2017 Extreme oceanographic forcing and coastal response due to the 2015–2016 El Ni˜no Nat. Commun. 8 14365
Brovelli M A, Minghini M, Molinari M and Mooney P 2017 Towards an automated comparison of openstreetmap with authoritative
road datasets Trans. GIS 21 191–206
Bukvic A and Harrald J 2019 Rural versus urban perspective on coastal flooding: the insights from the U.S. mid-atlantic communities
Clim. Risk Manag. 23 7–18
Chamberlain S 2020 rnoaa: NOAA weather data from R. R package version 1.0.0. (available at: https://CRAN.R-project.org/
package=rnoaa)
Chang S W, Clement T P, Simpson M J and Lee K-K 2011 Does sea-level rise have an impact on saltwater intrusion? Adv. Water Resour.
34 1283–91
6 US Census Bureau’s American Community Survey tableID: S2001 median hourly wages of workers over age 16 with earnings in 2019.
9
Environ. Res.: Climate 2 (2023) 045004
M E Hauer et al
Chen C and Liu L-M 1993 Forecasting time series with outliers J. Forecast. 12 13–35
Chen J and Mueller V 2018 Coastal climate change, soil salinity and human migration in Bangladesh Nat. Clim. Change 8 981–5
Church J et al 2013 Sea level change Climate Change 2013: The Physical Science Basis. Contribution of Working Group I to the Fifth
Assessment Report of the Intergovernmental Panel on Climate Change (Cambridge University Press) pp 1137–216
Clark P U et al 2016 Consequences of twenty-first-century policy for multi-millennial climate and sea-level change Nat. Clim. Change
6 360–9
Dahl K, Fitzpatrick M and Spanger-Siegfried E 2017 Sea level rise drives increased tidal flooding frequency at tide gauges along the US
east and gulf coasts: projections for 2030 and 2045 PLoS One 12 e0170949
de Lacalle J L 2019 Tsoutliers: detection of outliers in time series R package version 0.6-8 (available at: https://CRAN.R-project.org/
package=tsoutliers)
El-Ashmawy K L 2016 Testing the positional accuracy of openstreetmap data for mapping applications Geodesy Cartogr. 42 25–30
Ezer T and Atkinson L P 2014 Accelerated flooding along the U.S. East Coast: on the impact of sea-level rise, tides, storms, the Gulf
Stream, and the North Atlantic Oscillations Earth’s Future 2 362–82
Fant C, Jacobs J M, Chinowsky P, Sweet W, Weiss N, Sias J E, Martinich J and Neumann J E 2021 Mere nuisance or growing threat? The
physical and economic impact of high tide flooding on us road networks J. Infrastruct. Syst. 27 04021044
Fu X, Gomaa M, Deng Y and Peng Z-R 2017 Adaptation planning for sea level rise: a study of US coastal cities J. Environ. Plan. Manag.
60 249–65
Gesch D, Oimoen M, Greenlee S, Nelson C, Steuck M and Tyler D 2002 The national elevation dataset Photogramm. Eng. Remote Sens.
68 5–32
Gold A, Anarde K, Grimley L, Neve R, Srebnik E R, Thelen T, Whipple A and Hino M 2023 Data from the drain: a sensor framework
that captures multiple drivers of chronic coastal floods Water Resour. Res. 59 e2022WR032392
Goodman A C, Thorne K M, Buffington K J, Freeman C M and Janousek C N 2018 El Ni˜no increases high-tide flooding in tidal
wetlands along the US Pacific Coast J. Geophys. Res. Biogeosci. 123 3162–77
Gupta P D 1991 Decomposition of the difference between two rates and its consistency when more than two populations are involved
Math. Popul. Stud. 3 105–25
Hague B S and Taylor A J 2021 Tide-only inundation: a metric to quantify the contribution of tides to coastal inundation under sea-level
rise Nat. Hazards 107 675–95
Hallegatte S, Green C, Nicholls R J and Corfee-Morlot J 2013 Future flood losses in major coastal cities Nat. Clim. Change 3 802–6
Hauer M E, Evans J M and Mishra D R 2016 Millions projected to be at risk from sea-level rise in the continental United States Nat.
Clim. Change 6 691–5
Hauer M E, Fussell E, Mueller V, Burkett M, Call M, Abel K, McLeman R and Wrathall D 2020 Sea-level rise and human migration Nat.
Rev. Earth Environ. 1 28–39
Hauer M 2023 Sea level rise already delays coastal commuters Harvard Dataverse V1 (https://doi.org/10.7910/DVN/2UT4GM)
Hauer M, Mueller V, Sheriff G and Zhong Q 2021 More than a nuisance: measuring how sea level rise delays commuters in Miami, FL
Environ. Res. Lett. 16 064041
Heberger M, Cooley H, Herrera P, Gleick P H and Moore E 2011 Potential impacts of increased coastal flooding in California due to
sea-level rise Clim. Change 109 229–49
Hinkel J, Lincke D, Vafeidis A T, Perrette M, Nicholls R J, Tol R S, Marzeion B, Fettweis X, Ionescu C and Levermann A 2014 Coastal
flood damage and adaptation costs under 21st century sea-level rise Proc. Natl Acad. Sci. 111 3292–7
Hinkel J, Nicholls R J, Tol R S, Wang Z B, Hamilton J M, Boot G, Vafeidis A T, McFadden L, Ganopolski A and Klein R J 2013 A global
analysis of erosion of sandy beaches and sea-level rise: an application of diva Glob. Planet. Change 111 150–8
Jacobs J M, Cattaneo L R, Sweet W and Mansfield T 2018 Recent and future outlooks for nuisance flooding impacts on roadways on the
U.S. East Coast Transp. Res. Rec. 2672 1–10
Jamero M L, Onuki M, Esteban M, Billones-Sensano X K, Tan N, Nellas A, Takagi H, Thao N D and Valenzuela V P 2017 Small-island
communities in the Philippines prefer local measures to relocation in response to sea-level rise Nat. Clim. Change 7 581–6
Kasmalkar I G, Serafin K A, Miao Y, Bick I A, Ortolano L, Ouyang D and Suckale J 2020 When floods hit the road: resilience to
flood-related traffic disruption in the San Francisco bay area and beyond Sci. Adv. 6 eaba2423
Kasmalkar I G, Serafin K A and Suckale J 2021 Integrating urban traffic models with coastal flood maps to quantify the resilience of
traffic systems to episodic coastal flooding MethodsX 8 101483
Keenan J M, Hill T and Gumber A 2018 Climate gentrification: from theory to empiricism in Miami-Dade County, Florida Environ. Res.
Lett. 13 054001
Kirezci E, Young I R, Ranasinghe R, Muis S, Nicholls R J, Lincke D and Hinkel J 2020 Projections of global-scale extreme sea levels and
resulting episodic coastal flooding over the 21st century Sci. Rep. 10 11629
Kulp S A and Strauss B H 2019 New elevation data triple estimates of global vulnerability to sea-level rise and coastal flooding Nat.
Commun. 10 4844
Kwadijk J C et al 2010 Using adaptation tipping points to prepare for climate change and sea level rise: a case study in the Netherlands
WIREs Clim. Change 1 729–40
McAlpine S and Porter J 2018 Estimating recent local impacts of sea-level rise on current real-estate losses: a housing market case study
in Miami-Dade, Florida Popul. Res. Policy Rev. 37 871–95
Moftakhari H, AghaKouchak A, Sanders B and Matthew R 2017 Cumulative hazard: the case of nuisance flooding Earth’s Future 5 214–23
NOAA CO-OPs 2020 Tides and currents (available at: tidesandcurrents.noaa.gov) (Accessed 9 November 2020)
NOAA 2020 Sea level rise viewer tools high tide flooding (available at: https://coast.noaa.gov/digitalcoast/tools/slr.html) (Accessed 13
November 2020)
OpenStreetMap Contributors 2017 Planet dump (available at: www.openstreetmap.org) (Accessed 17 November 2020)
Oppenheimer M et al 2019 Sea level rise and implications for low lying islands, coasts and communities ed H.-O. Pörtner et al
Padgham M 2019 dodgr: an r package for network flow aggregation Transp. Findings (https://doi.org/10.32866/6945)
Praharaj S, Chen T, Zahura F, Behl M and Goodall J 2021 Estimating impacts of recurring flooding on roadway networks: a Norfolk,
Virginia case study Nat. Hazards 107 2363–87
Pregnolato M, Ford A, Glenis V, Wilkinson S and Dawson R 2017 Impact of climate change on disruption to urban transport networks
from pluvial flooding J. Infrastruct. Syst. 23 04017015
Shen S and Kim K 2020 Assessment of transportation system vulnerabilities to tidal flooding in Honolulu, Hawaii Transp. Res. Rec.
2674 207–19
10
Environ. Res.: Climate 2 (2023) 045004
M E Hauer et al
Storlazzi C D et al 2018 Most atolls will be uninhabitable by the mid-21st century because of sea-level rise exacerbating wave-driven
flooding Sci. Adv. 4 eaa9741
Strauss B H, Kulp S and Levermann A 2015 Carbon choices determine us cities committed to futures below sea level Proc. Natl Acad. Sci.
112 13508–13
Sweet W V, Dusek G, Obeysekera J and Marra J J 2018 Patterns and projections of high tide flooding along the U.S. coastline using a
common impact threshold Technical Report (NOAA)
Sweet W V, Kopp R E, Weaver C P, Obeysekera J, Horton R M, Thieler E R and Zervas C 2017 Global and regional sea level rise scenarios
for the United States Technical Report (NOAA)
Taherkhani M, Vitousek S, Barnard P L, Frazer N, Anderson T R and Fletcher C H 2020 Sea-level rise exponentially increases coastal
flood frequency Sci. Rep. 10 1–17
U.S. Census Bureau 2020 LEHD origin-destination employment statistics (2002–2017), LODES 7.4 (Longitudinal-Employer Household
Dynamics Program) (available at: onthemap.ces.census.gov) (Accessed 7 October 2020)
US Army Corps of Engineers 2020 National levee database (available at: levees.sec.usace.army.mil) (Accessed 20 October 2020)
11
| null |
10.1371_journal.pbio.3000080.pdf
| null |
The data for individual figures are available as Excel files (labeled, e.g., S1 Data) with links in the relevant figure captions. The full listing of these data files can be found following the captions for supplementary figures, as well as in the Excel file DataFileListings.xlsx. In addition, the full data are available. The corresponding author (Aniruddha Das) will maintain the data at Columbia University until all datasets will be shared openly with qualified scientists. Access will be granted by request to the corresponding
|
RESEARCH ARTICLE
Task-related hemodynamic responses are
modulated by reward and task engagement
Mariana M. B. Cardoso1,2, Bruss LimaID
1,3, Yevgeniy B. Sirotin1,4, Aniruddha DasID
1,5*
a1111111111
a1111111111
a1111111111
a1111111111
a1111111111
OPEN ACCESS
Citation: Cardoso MMB, Lima B, Sirotin YB, Das A
(2019) Task-related hemodynamic responses are
modulated by reward and task engagement. PLoS
Biol 17(4): e3000080. https://doi.org/10.1371/
journal.pbio.3000080
Academic Editor: Frank Tong, Vanderbilt
University, UNITED STATES
Received: October 23, 2018
Accepted: March 29, 2019
Published: April 19, 2019
Copyright: © 2019 Cardoso et al. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
Data Availability Statement: The data for
individual figures are available as Excel files
(labeled, e.g., S1 Data) with links in the relevant
figure captions. The full listing of these data files
can be found following the captions for
supplementary figures, as well as in the Excel file
DataFileListings.xlsx. In addition, the full data are
available. The corresponding author (Aniruddha
Das) will maintain the data at Columbia University
until publication. Once published, all datasets will
be shared openly with qualified scientists. Access
will be granted by request to the corresponding
author. It will be our intent to collaborate with
1 Department of Neuroscience, Columbia University, New York, New York, United States of America,
2 Center for Neural Science, New York University, New York, New York, United States of America, 3 Institute
of Biophysics Carlos Chagas Filho, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil, 4 Identity and
Data Science Laboratory of Science Applications International Corporation, Annapolis Junction, Maryland,
United States of America, 5 Zuckerman Mind Brain and Behavior Institute, Columbia University, New York,
New York, United States of America
* Aniruddha.Das@columbia.edu
Abstract
Hemodynamic recordings from visual cortex contain powerful endogenous task-related
responses that may reflect task-related arousal, or “task engagement” distinct from atten-
tion. We tested this hypothesis with hemodynamic measurements (intrinsic-signal optical
imaging) from monkey primary visual cortex (V1) while the animals’ engagement in a peri-
odic fixation task over several hours was varied through reward size and as animals took
breaks. With higher rewards, animals appeared more task-engaged; task-related responses
were more temporally precise at the task period (approximately 10–20 seconds) and mod-
estly stronger. The 2–5 minute blocks of high-reward trials led to ramp-like decreases in
mean local blood volume; these reversed with ramp-like increases during low reward. The
blood volume increased even more sharply when the animal shut his eyes and disengaged
completely from the task (5–10 minutes). We propose a mechanism that controls vascular
tone, likely along with local neural responses in a manner that reflects task engagement
over the full range of timescales tested.
Introduction
The use of functional magnetic resonance imaging (fMRI) in humans, complemented with
electrode measurements from animal studies, has considerably advanced our understanding
of cortical visual processing. This combination of tools has been particularly useful in under-
standing exogenous, stimulus-evoked responses. Models of neural responses in humans based
on electrophysiological recordings in animals, combined with linear models linking neural to
hemodynamic responses, have been effective in accounting for stimulus-evoked fMRI mea-
surements in human subjects and in quantitatively predicting the corresponding sensory per-
cepts [1–9].
However, fMRI measurements from subjects performing visual tasks also contain large
endogenous hemodynamic responses in the absence of or independent of visual stimuli, even
at the earliest stages of visual processing [10–15]. There are at least two types of endogenous
PLOS Biology | https://doi.org/10.1371/journal.pbio.3000080 April 19, 2019
1 / 34
individuals who contact us about sharing the data.
But if that is not possible or does not make sense,
then we will simply provide the data to them.
Because of the large size of the optical imaging and
electrode recording data, it might not be possible
to keep it online. Hence, it will also be distributed
(upon request) as a DVD box set for a nominal fee
(sufficient to cover the costs of the DVDs, the time
for a lab technician to burn the discs, and shipping
expenses).
Funding: National Institutes of Health (NIH) Grants
R01EY025330, R01EY025673, R01 EY019500,
and R01 NS063226 were given to AD, and a
National Research Service Award was given to
YBS, as well as grants from the Columbia Research
Initiatives in Science and Engineering, the Gatsby
Initiative in Brain Circuitry, and The Dana
Foundation Program in Brain and Immuno Imaging
and the Kavli Institute for Brain Science (to AD). BL
received a fellowship from the The Italian Academy
for Advanced Studies in America, Columbia
University. MMBC was supported by Fundac¸ão
para a Ciência e a Tecnologia (FCT), scholarship
SFRH/BD/33276/2007. The funders had no role in
study design, data collection and analysis, decision
to publish, or preparation of the manuscript.
Competing interests: The authors have declared
that no competing interests exist.
Abbreviations: BF-ACh, basal forebrain-
cholinergic; BOLD, blood oxygen level–dependent;
CBV, cerebral blood volume; EEG,
electroencephalographic; fMRI, functional
magnetic resonance imaging; HR, heart rate; HRF,
hemodynamic response function; IACUC,
Institutional Animal Care and Use Committees;
ISOI, intrinsic-signal optical imaging; LC-NA, locus
coeruleus-adrenergic; LFP, local field potential;
NIH, National Institutes of Health; NS, not
significant.
Modulating task-related hemodynamics
response, “attention-like” and “task related” [16]. Unlike the case with exogenous responses,
there has been mixed success in interpreting these endogenous hemodynamic responses.
Selective visual attention has been characterized extensively through studies in human fMRI
[10–15] with close parallels seen in animal electrophysiology [17–25]. Although likely driven
by a unified mechanism [26], attention can take different forms. It could be selective for stimu-
lus location [10,11,27–29], features (e.g., color versus motion [30]), or timing [28]. The related
hemodynamic responses reflect corresponding attributes of the expected stimuli. Attentional
responses also increase in strength along the visual cortical hierarchy [11,20].
Much less is known about the task-related endogenous hemodynamic response, including
whether it comprises one or multiple types. It appears to be distinct from selective attention. It
entrains to task structure and extends over large sections of cortical areas (e.g., primary visual
cortex—i.e., V1) independent of the stimulus [16,31–33], where it can even be substantially
stronger than stimulus-selective responses [34]. It is also strongest in V1 and progressively
weaker in higher visual areas [16]. These differences may reflect distinct brain processes
underlying these two endogenous responses. There is growing evidence of the importance of
the task-related endogenous response. It may play a role in sensory processing, in temporally
grouping otherwise unrelated sensory stimuli [33] or in switching between stimulus modalities
[35]. As yet, relatively little is understood about the mechanism of the task-related response
even though its presence has been known for over a decade [16,33,35–41]. This is largely due
to the paucity of studies comparing hemodynamics with electrophysiology in behaving
subjects.
The current work derives from a task-related hemodynamic response measured using
intrinsic-signal optical imaging (ISOI) [42,43] in V1 of behaving macaques performing cued
visual tasks [31]. The observed task-related response entrained to task timing independent of
visual stimulation, with amplitudes that could compare with or even exceed vigorous visually
evoked responses [44]. It appeared to be spatially nonselective, being homogeneous over the
optical imaging window and presumably extending beyond [32]. It is thus likely a good model
for investigating the mechanism underlying the task-related response seen in humans. Con-
current electrode recordings showed it to be poorly predicted by changes in local firing rates
or local field potential (LFP) power at any frequency band [31], unlike stimulus-evoked hemo-
dynamic responses that were well predicted by local electrophysiology [44,45]. Additionally, at
a vascular level, this response corresponded to a coordinated contraction–dilation cycle engag-
ing the arterial blood supply into the imaged cortical region [31]. These observations suggested
an underlying mechanism distinct from exogenous, stimulus-evoked responses.
Here, we explore the link between this task-related hemodynamic response and the level of
engagement in a task. The link was suggested by earlier measurements showing correlations
between the measured task-related response and task performance [32], as well as with sympa-
thetic-like markers of mental effort in a task [46] such as phasic pupil dilation [31] and heart
rate (HR) fluctuations [31]. To modulate the level of engagement, we changed reward size sys-
tematically [47] while the monkeys performed a periodic visual fixation task over several
hours. Using ISOI and electrophysiology, we looked for effects on the measured task-related
hemodynamic response at multiple timescales: of individual trials (approximately 10–20 sec-
onds), of blocks of trials (150–300 seconds), and finally, of extended segments of task engage-
ment versus disengagement as the animal switched between working and resting with eyes
closed (many minutes). Based on our results, we propose that the task-related hemodynamic
response reflects mechanisms that entrain brain processing more sharply to a task during peri-
ods of higher task engagement, possibly as a means of temporally filtering or binding compo-
nents of a task. Although we use the term “task engagement” as a shorthand for the set of
behavioral and hemodynamic responses described here, in the Discussion, we consider
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Modulating task-related hemodynamics
possible links with states of task-specific arousal that have variously been labeled “sustained
attention,” “vigilance,” or “alertness” [48–50]. Additionally, we propose an overarching mech-
anism that controls vascular tone over multiple timescales in coordination with ongoing
changes in the level of engagement during a task. Understanding these links would be an
important step forward in understanding the dynamic allocation of brain resources in the con-
text of a task.
Results
Overview
Two male rhesus macaques performed a cued, periodic visual fixation task, receiving a juice
reward following every correct fixation with no time-out or other punishment for errors (see
Methods). The task is known to evoke a robust task-related hemodynamic response in the
monkeys’ V1 independently of visual stimulation [31,44]. Here, we systematically manipulated
the size of the reward per correct trial as a means of modulating the animals’ level of engage-
ment in the task. This was done either in alternating blocks of high and low reward or in
sequences of progressively changing reward (see Methods). We recorded V1 hemodynamics
using ISOI [42], a high-resolution optical analog of fMRI [51–53]. This technique deduces
brain hemodynamic responses at the exposed cortical surface by measuring changes in
reflected light intensity at wavelengths absorbed by hemoglobin. Here, we used a wavelength
specific to total hemoglobin, which provides a measurement analogous to cerebral blood vol-
ume (CBV) [54] (see Methods). Imaging was combined with concurrent extracellular elec-
trode recording of multiunit spiking and LFP. All experimental procedures were performed in
accordance with the National Institutes of Health (NIH) Guide for the Care and Use of Labo-
ratory Animals and were approved by the Institutional Animal Care and Use Committees
(IACUC) of Columbia University and the New York State Psychiatric Institute.
We observed distinct effects on the task-related V1 hemodynamic responses at the three
different timescales tested. At the shortest timescale (individual trials—a few seconds), higher
reward led to crisper temporal alignment of the task-related response to each trial, accompa-
nied by a significant, if modest, improvement in response amplitude. At a slower timescale of
blocks of alternating high versus low reward (10 to 20 trials—i.e., 150 to 300 seconds per
block), we observed consistent alternating ramp-like changes in the mean local cortical blood
volume. The sign of the ramps was such as to decrease blood volume for blocks of high reward
while increasing it for low. Finally, periods of disengagement from the task during which the
animal shut his eyes and rested over many minutes led to further large, sustained increases in
the mean local blood volume. None of these effects at any timescale could be accounted for by
changes in local spike rate.
The majority of the reported results came from tasks performed in essentially complete
darkness (“dark-room fixation” N = 30 sites, 3 hemispheres, 2 animals). This allowed measure-
ment of the effects on the endogenous task-related hemodynamic response while minimizing
exogenous visual confounds [31]. A complementary section (N = 33 sites, 2 hemispheres, 2
animals) confirmed that the observed results generalized to the presence of visual stimuli.
Timescale of single trials: Higher reward leads to greater temporal
precision
A section of recording made while the animal fixated periodically in the dark illustrates the
pattern of task-entrained responses, as well as changes to these responses with reward size (Fig
1A). Despite the near-total absence of visual stimulation, the V1 hemodynamic recording
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Modulating task-related hemodynamics
Fig 1. High reward leads to greater engagement in the task. (A-C) Example data set, periodic fixation task in the dark. (A) Continuous records of
hemodynamic response (“Hemo”), radial eye position (“Eye pos”), heart rate (“HR”), and pupil size (“Pupil”) while reward level alternated between
high (“Hi”; 0.375 ml per correct trial) and low (“Lo”; 0.11 ml) in blocks of 10 correct trials (showing roughly 3 of 32 blocks total, with time indexed
relative to the start of the experiment; red = high reward, cyan = low. Same color code is used all through the paper.). Trials with no color indicate
incorrect fixation (compare “Eye pos”). Each continuous sequence of incorrect trials counts as one error (gray arrows). Monkeys made more
frequent errors in low-reward blocks (0.29 for “Lo” versus 0.19 for “Hi” as fraction of correct trials [N = 330]). Hemodynamic response (dR
R
fractional change in light reflected off cortical surface; down indicates increasing light absorption (i.e., increasing local blood volume). (B)
Comparing pupil dilation during the fix period, high- versus low-reward trials. “All Hi, Lo” compares all correct high-reward trials (N = 160) with
low (N = 170). “Lo to Hi” and “Hi to Lo” compare the first trial after a change in reward size to the immediately preceding trial (N = 15 “Lo to Hi”
transitions, 16 “Hi to Lo” [data in S3 Data]). Gray shaded rectangle indicates a period of steady fixation starting 1 second after fix onset, which is used
for quantifying pupil dilation. Inset histograms show dilation difference (high minus low reward) for all experiments with reliable pupil recording
(N = 9; x-axis labeling, shown only for the third histogram [“Pupil Hi to Lo”] to avoid clutter, is common to all [data in S2 Data]). Rewards were
given at the end of each correct fixation (gray arrowheads below time line; the same reward timing was used in all experiments reported here [data in
S1 Data]). (C) Comparing amplitude (defined as standard deviation) of mean trial-linked heart rate fluctuations, high versus low reward (0.038 s−1:
high, 0.025 s−1: low [data in S4 Data]). Traces in (B, C) are shown as mean +/− SEM (lighter ribbon). (D) Scatterplot comparing errors as fraction of
correct trials, high versus low reward, all experiments (N = 30 [data in S5 Data]). (E) Comparing amplitudes of mean HR fluctuation (standard
deviation as in panel C), high versus low reward, all experiments (“expts”). Each data point in (D, E) corresponds to one recording site (data in S6
Data). In (D), error trials were counted as high or low reward based on the block in which they occurred (see Methods). In (E), values were averaged
separately across all correct high-reward versus correct low-reward trials for the given recording site. p-Values in (D and E): Wilcoxon signed rank
test.
) plots
https://doi.org/10.1371/journal.pbio.3000080.g001
showed robust task-related fluctuations in local tissue blood volume [31]. These were accom-
panied, as noted earlier [31], by sympathetic-like responses [46]—i.e., phasic pupil dilation
and HR fluctuations—also entrained to the task period. These sympathetic-like responses
increased with higher reward. The pupils dilated more per trial, switching dilation size across
single trials at block transitions (Fig 1B). The mean HR fluctuations were stronger (Fig 1C and
1E). Furthermore, animals made fewer errors (fixations broken or never acquired) in high-
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Modulating task-related hemodynamics
reward blocks (Fig 1A and 1D). The mean hemodynamic response also appeared to ramp
slowly upwards during the high-reward block—i.e., reducing mean local blood volume—as
indicated by the slope of a linear regression line (red, Fig 1A); this observation is addressed in
a later section on slow changes. We did note a weak fluctuation in recorded spiking that was
periodic in the mean and appeared to relate to hemodynamics in some data sets. However, the
correlation was unreliable and did not generalize (see S1 Fig), consistent with our earlier find-
ings that the task-related response is not predicted by local spiking or LFP [31].
At the timescale of individual trials, the primary correlate of high reward on the task-related
response appeared to be greater temporal precision—i.e., tighter alignment to trial timing.
This was evident qualitatively in lower trial-to-trial temporal jitter for high reward (Fig 2A, left
panel). The mean of these trial-by-trial responses, averaged across all correct trials, was also
higher for high-reward trials. But it was unclear how much of that was due to a true difference
in amplitude, as opposed to better temporal alignment of individual responses. To resolve this
issue, it was necessary to separately estimate the timing and amplitude of the task-related
response for each trial.
We used a template-matching approach based on the observation that, other than temporal
jitter, individual responses appeared similar to each other in shape independent of reward size
(Fig 2A; also see [32]). The full hemodynamic recording was thus modeled implicitly as a
sequence of task-related responses of stereotyped shape, one per trial, varying only in ampli-
tude and timing from trial to trial. The template was defined to be the trial-triggered average
response over all correct trials. This template was slid in a one-trial-long moving window over
the recorded response, calculating the normalized local dot product at each time point (“Tem-
plate Match” in Fig 2B, Methods, Eqs 1–3). The dot product is closely analogous to Pearson’s
correlation (see Methods). We thus surmised that it would have maxima (peaks) at points of
high correlation where the recorded hemodynamics locally matched the template in shape—in
effect, defining locations of putative task-related responses. But in addition, unlike Pearson’s r,
which is scale-invariant, dot products scale linearly with the amplitude of their arguments and
thus provide a measure of response strength (Fig 2B and Methods). We therefore defined our
estimates of task-related response time and amplitude per trial to be the location and height of
the corresponding template match peak.
After estimating response times and amplitudes as described above, we wanted to check
our starting assumption that the measured hemodynamics are well modeled as a sequence of
jittered but stereotyped shapes. If the assumption is valid, the segments of recorded hemody-
namics centered on each peak of the template match should match each other closely in shape.
To test, we centered each putative task-related response, as picked out through template
matching, by its response time as estimated from the same template match (Fig 2C). Indeed,
the realigned responses were strikingly well correlated with each other. This can be appreciated
visually by normalizing realigned responses by their amplitudes to help compare shapes (Fig
2D) and quantitatively by correlating realigned responses to the template used for matching
(Fig 2E and 2F). The strength of this correlation supports our approach.
With the task-related response times and amplitudes thus quantified, we confirmed that the
primary effect of higher reward was greater temporal precision. Response times were better
aligned to the task period, with consistently tighter distributions (quantified by the 2 standard
deviation width of the distribution). This was evident for the example data set (Fig 3A) as well
as in essentially every other data set (Fig 3C). High reward also led to significantly higher
response amplitude for the example data set (Fig 3B). However, that pattern was less consistent
over the full set of experiments, with only a relatively modest improvement in median
response amplitudes overall (Fig 3D).
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Modulating task-related hemodynamics
Fig 2. Estimating trial-by-trial timing and amplitude of task-related responses by template matching. (A) All
correct trials in one data set, separated by reward size: high (N = 140 trials; left, red bar on top as in Fig 1A) and low
(N = 148, right, cyan bar). Gray indicates individual trials, and black indicates the mean. The time axis is shared with
(C), (D) (0 = trial onset; yellow indicates a fixation period [data in S7 Data]). (B) Elements of the template match. Black
(“Hemo”) indicates a section of recorded hemodynamic response (z-scored, shifted down for visibility; time indexed
from an arbitrary t = 0); vertical dashed lines indicate trial onsets. Green (“Template Match”) marks the sliding-
window dot product of “Hemo” with “Tmplt” (inset: defined as mean hemodynamic response, all correct trials). The
locations and heights of template match peaks (red dots) define estimated timing and amplitude of task-related
response per trial. “Match Peak #1, #2” are examples illustrating the information carried by peaks. Both #1 and #2
mark locations where “Hemo” matches “Tmplt” in shape (see “Hemo” segments on green shading. Compare with
“Match Trough,” gray shading, phase-reversed “Hemo”). Greater height of peak #1 versus #2 quantifies higher
amplitude of “Hemo” fluctuation at #1. However, location of peak #2 is better centered in its trial. (C) Same traces as in
(A), aligned by response times estimated from template match (data in S8 Data). (D) Same data as (C), normalized by
amplitude (standard deviation; “SD-norm”). Orange indicates responses with standard deviation in the lowest 10th
percentile over the full set. Gray marks the upper 90th percentile. Black indicates the mean of gray traces. The red
dotted line marks the template. Gray traces match each other and the template well, particularly near the midpoint of
the trial (data in S9 Data). (E) Histogram of correlations (“corr”) of aligned responses with the template (Pearson’s r; all
correct trials, high and low reward, including responses in the lowest 10th percentile of standard deviation). (F)
Histogram of correlation medians as in (E), all experiments (“expts”; data in S10 Data).
https://doi.org/10.1371/journal.pbio.3000080.g002
We wondered if these results were due to our particular choice of template. We tested by
repeating the analysis shown here across all data sets using a range of alternate templates. The
alternate templates were also each one trial long and constructed from measured responses but
using different criteria: for example, being phase shifted in time or using only “high signal-to-
noise” responses with amplitudes exceeding a threshold. The task-related response times and
amplitudes estimated by matching to these alternate templates showed a strikingly similar
overall relationship to reward size as in Fig 3. This is illustrated in S2 Fig for a particular alter-
nate template with timing and shape distinct from the one used in the main text. This result
highlights the overall robustness of our findings. It also suggests that high reward leads to a
state of greater temporal regularity and periodicity overall for the duration of the block,
accounting for the higher temporal precision in estimated response times independent of the
details of the template used.
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Modulating task-related hemodynamics
Fig 3. Higher reward leads to more temporally precise task-related responses. (A) Distributions of response
(“Resp.”) times per trial, estimated as positions of the corresponding template match peaks (“Match Peak pos.”), same
data set as in Fig 2A–2E. Distributions are separated by reward size, with color coding as indicated in the key
(common to (A, B) and to all later figures). Data are shown as a vertical “violin plot” histogram with numbers of trials
increasing from 0 (middle) upwards for high reward (“Hi”) and downwards for low (“Lo”). Similar displays are used
for all such comparisons of distributions to avoid clutter (e.g., with interleaved histograms). Clustering of response
times per reward size was quantified as the 2 standard deviation (“2x StdDev”) width of timing distributions. (B).
Distributions of response amplitudes per trial, estimated from template matching (“Tmplt Match”), shown separated
by reward size following the same conventions as in (A). Response amplitude per reward size was quantified as the
median (indicated by arrowheads; medians are indicated similarly in all later amplitude distributions). Significance (p-
values) in (A,B) were obtained from bootstrap with 10,000 resamples. (The 2x StdDev values per reward size [“hi”,”lo”
in panel A] and median amplitude per reward size in panel B shown in these and other panels are not the sample
medians from the measured distributions but rather are medians obtained from the same bootstrap procedure used to
get p-values.) (C) Comparing the 2 standard deviation width of the response time distribution for all correct high-
reward trials versus that for all correct low-reward trials, per experiment (“expt”; N = 30). (D) Comparing median
response amplitudes for all correct high- versus all correct low-reward trials, per experiment. p-Values in (C), (D):
Wilcoxon signed rank tests for pairwise comparisons (data in S11 Data).
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Timing precision is robust to noise in template match
We were concerned that the apparently lower temporal precision with low reward could be an
artifact of a noisier template match. When task-related responses had lower amplitudes, the
template match could be poorer simply because of lower signal to noise. This could lead to
noisier estimates of response time with wider distribution and thus apparently poorer preci-
sion but, because of the poorer signal to noise alone, independent of reward size (Fig 4A; also
consider, e.g., the responses with poor shape match in Fig 2D). Since lower rewards were asso-
ciated with somewhat lower response amplitudes, this increased noise could make the low-
reward responses appear artifactually less precise.
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Modulating task-related hemodynamics
Fig 4. Temporal precision is not an artifact of higher signal for high-reward responses. (A) An outline of the null hypothesis using a data
set in which low-reward responses had substantially lower amplitudes. Left panel: Scatterplot of response amplitude versus time per trial,
colored by reward size. Gray and white shading indicates quintiles along the amplitude axis, combining high (“hi”) and low (“lo”) rewards.
Right panel: 2 standard deviation width of response time distribution in each quintile. The time axis is scaled to match that for the left panel.
These 2 standard deviation widths (“2x StdDev”) increased progressively for lower response amplitudes, which were also more dominated by
low-reward trials. The null hypothesis is that this covariance alone gives low-reward trials larger timing scatter. Arrows mark the y-axis
locations indicating median amplitudes of quintiles (data in S12 Data). (B) Plot of response amplitude versus timing for a large data set (1,285
correct trials; 629 low reward; 626 high reward) separated into quartiles by response amplitude (gray/white shading). Each quartile also
roughly matched for numbers of low- versus high-reward trials (data in S13 Data). (C1, C2, D1, D2, E1, E2, F1, F2) Pairs of distributions of
response amplitude and timing per quartile separated by reward size. The numbers “N” in parentheses in (C1–F1) indicate numbers of high-
and low-reward trials. The high-reward responses are significantly more precise than the corresponding low-reward ones in each quartile
despite the similarity in response amplitudes (C2–F2). All distributions are shown as “violin plots” using the same conventions as Fig 3A and
3B. Panels (C1–F1) share a common abscissa scale, as do panels (C2–F2). The “NTrials” label for the ordinate is shown only for (F1) to avoid
clutter. p-Values, bootstrap, 10,000 resamples (data in S14 Data).
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To test, we selected subsets from each experiment in which the high- and low-reward
responses were matched in amplitude and in numbers of data points (Fig 4B, 4C1, 4D1, 4E1
and 4F1). If our concern about signal to noise in the template match were valid, high- and
low-reward responses in each amplitude-matched subset should exhibit similar distributions
of response times independent of reward size. Instead, even after matching for amplitudes, the
high-reward responses remained consistently and significantly more temporally precise (see,
particularly, Fig 4D1, 4D2, 4E1 and 4E2).
Timing precision is independent of eye fixation timing and eye movements
We wondered if there were some simple oculomotor explanation or correlate of our observa-
tion. We considered two possible scenarios under which this could happen.
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Modulating task-related hemodynamics
We considered the null hypothesis that the timing of the task-related response per trial is
determined by fix onset, with a stereotyped response time course and hence constant delay fol-
lowing fixation (see S3 Fig). If that were the case, response times should be correlated to fix
onset times, with unity slope and constant delay. The higher precision with high reward could
reflect a behavioral pattern in which the animal is more precise in its fix onsets prior to those
trials (S3 Fig, panel a). This null hypothesis turned out not to be the case, and task-related
response times were uncorrelated with fixation onset. Parenthetically, both animals’ fixation
behavior changed over the many months that we tested them intermittently on this task. Ini-
tially, both animals tended to maintain fixation for long periods with very few breaks even dur-
ing intertrial intervals. This led to extended periods of fixation prior to the start of each trial,
or even across multiple trials, without any breaks but unrelated to the timing of the task-related
response or reward size (S3 Fig, panel b). Later, both animals showed a different behavioral
pattern, moving their eyes around during intertrial intervals and reacquiring fixation shortly
before trial onset. This led to a pattern of brief fixation periods prior to each trial (S3 Fig, panel
c). Task-related hemodynamic response times remained more precise with high reward, inde-
pendent of the changing pattern of fixation.
We next considered the possibility that animals may have steadier fixation or smaller eye
movements during high-reward blocks, due to generally higher engagement in the task (S4
Fig). We failed to see any consistent patterns. There were no consistent differences in fixational
jitter between high- and low-reward trials at the resolution of our measurements (60 Hz, 0.33
deg). There were also no consistent differences in eye movements during the intertrial periods
during which the animals were free to look around. The animals also changed their patterns of
intertrial eye movements over the many months of recording. In earlier sessions, they did
move their eyes less during high-reward blocks (S4 Fig, panels a1-a3). Later, however, the ani-
mals adopted a behavioral pattern of greater intertrial eye excursions for high-reward trials (S4
Fig, panels b1-b3). However, the task-related responses remained more precise for higher-
reward trials (smaller 2 standard deviation width for task-related response time distributions),
independent of this changing pattern of eye movements.
Timing precision generalizes to the presence of visual stimulation
The question that remained was whether reward size affected task-related responses only in
the unnatural circumstance of visual tasks in the near absence of all visual stimulation or
whether such effects generalized to the presence of visual stimuli. To test, we analyzed data
from a separate set of experiments in which the animals were passively shown visual stimuli—
gratings of different contrasts—while performing the same cued, periodic fixation task (Fig 5).
Rewards were comparable to the dark room, if slightly higher (see Methods), ranging typically
from 0.2 ml/trial (low) to 0.6 ml/trial (high). For this, we first needed to estimate the task-
related response from recorded hemodynamics by estimating and removing stimulus-evoked
responses. We did so by modeling the overall measured hemodynamics as a linear sum of the
stimulus-evoked and task-related components, which we fitted to get the optimal kernels for
the two components[55] (Methods, Eqs 4–6; also, S5 Fig). The optimal hemodynamic response
function (HRF) kernel thus obtained was then convolved with the recorded spiking to estimate
the stimulus-evoked component of hemodynamics and regress it away from the full hemody-
namics. The residual—that was, by construction, the component of hemodynamics not pre-
dicted by local spiking—was then defined to be the task-related component of the
hemodynamic response, equivalent to the full hemodynamic response in the dark room.
The task-related response thus estimated in the presence of visual stimuli was again tempo-
rally more precise with high reward, just as with the task undertaken in the dark room. This
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Modulating task-related hemodynamics
Fig 5. Task-related responses in the presence of visual stimuli are temporally more precise and modestly higher in
amplitude for high reward as in the dark room. (A-D) One example data set: (A) Residual task-related responses
(“Task Rel. Resp.”) separated by trial and by reward size were obtained by regressing away stimulus-evoked responses
(see S5 Fig) (data in S15 Data). (B) Comparing pupil dilation for high- (“Hi Reward”) versus low-reward (“Lo
Reward”) trials. Gray shading indicates the period over which pupil dilations are compared, starting 1 second after
fixation. (These pupil measurements were made in the presence of visual stimulation, unlike dark-room results [Fig
1B], likely accounting for different shape of trace including initial constriction on fixation) (data in S16 Data). (C)
Distribution of response times from template match in this data set. (D) Distribution of response amplitudes in this
data set. Conventions for “violin plot” histograms are used as in Fig 3A and 3B (data in S19 Data). (E) Comparing the 2
standard deviation widths of response times (“Resp time 2x StdDev”) for high versus low reward, per experiment
(“expt”; N = 33) (data in S17 Data). (F) Comparing median response amplitudes (“Resp Amp Median”) for high versus
low rewards, per experiment (N = 33). p-Values in (E), (F): Wilcoxon signed rank tests for the pairwise comparisons.
The inset in panel F indicates overall behavioral performance as the total numbers of error trials as a fraction of the
correct trials, per experiment (data in S18 Data). Eye pos, eye position; Fix on, fixation on; norm., normalized; NS, not
significant; Stim on, stimulus on.
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can be seen qualitatively after separating the estimated task-related response into individual
trials and segregating trials by reward size. These trial-wise responses were visibly less tempo-
rally jittered for high reward (Fig 5A). The timing and amplitude of these task-related
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Modulating task-related hemodynamics
responses were quantified by matching to a template just as for recordings in the dark room;
the template was taken to be the optimal mean kernel for the task-related component as esti-
mated from the fit (Methods, Eqs 7 and 8. S5 Fig). The results of this template match closely
paralleled those obtained in the dark room fixation task. The estimated response times were
again more tightly clustered for high-reward trials, both for this specific data set (Fig 5A and
5C) and over the set of visually stimulated experiments (Fig 5E). Response amplitudes showed
only a modest improvement (Fig 5D and 5F). High-reward trials were also associated with
greater pupil dilation (Fig 5B).
Timescale of blocks of trials: Mean blood volume decreases for high reward
and increases for low
Analyses up to this point were restricted to the scale of single trials—i.e., about 10 to 20 sec-
onds. However, we also noted slow ramp-like drifts in the mean local blood volume over
blocks of 10 to 20 trials of a given reward size—i.e., about 150 to 300 seconds (Fig 1A; Fig 6).
The ramps decreased blood volume for high-reward blocks while increasing it for low. Regres-
sion lines fitted through sequences of correct trials per block clustered into distinct sets of neg-
ative slopes (increasing absorption of light during imaging—i.e., increasing blood volume) for
low-reward blocks and positive slopes (decreasing blood volume) for high (Fig 6B and 6C).
These slow hemodynamic drifts were not driven by slow changes in spiking (see S7 Fig).
Blocks of trials with alternating ramps of mean blood volume failed to show similar alternating
ramps of mean spiking (S7 Fig, Panels a-d). To test more quantitatively, we first simulated the
spiking patterns required to generate the measured hemodynamic slopes on convolving with
the corresponding optimal fitted HRF per experiment (S7 Fig, Panels e, f). The slopes of the
simulated spiking ramps alternated in sign with reward size, as expected. Each measured spik-
ing slope was then divided by the slope of its corresponding simulation to compare. If the mea-
sured slopes had the same sign as their simulations, these ratios would consist of positive
numbers, with some magnitude reflecting a scale factor. This was not the case; the ratios were
equally likely to be positive or negative for both high and low reward. The measured spiking
slopes were thus uncorrelated with those required to generate the measured hemodynamic
slopes.
Switching from task engagement to rest with eyes closed: Further profound
increases in blood volume
We wondered if the slow increase in mean local blood volume accompanying reduced reward
could be part of a broader pattern of shifts in mean local blood volume accompanying shifts in
the level of engagement. A potential clue was seen in the continuous measurements during
long dark-room recording sessions lasting up to 3 hours (Fig 7). In these sessions, in between
extended stretches of working well, the animals would take occasional breaks of many minutes
during which they stopped working and rested with their eyes shut. The mean local blood vol-
ume in V1 increased strikingly during these breaks, returning to baseline when the animal
resumed working (Fig 7A). This pattern appeared to be an extreme manifestation of the ramp-
like changes in blood volume with reward size in which lower reward, with its lower level of
engagement (Fig 1), led to increasing mean blood volume (Fig 6).
Before ascribing an association with reduced engagement in the task, we needed to test
whether the increased blood volume could be accounted for simply by concurrent changes in
neural or physiological drivers. As possible drivers, we considered the mean HR and the mean
local multiunit spike rate (recorded separately at two electrodes spaced 4 mm apart in the
recording chamber). We also measured the pairwise noise correlation of spike rates between
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Modulating task-related hemodynamics
Fig 6. Mean local cortical blood volume increases for low-reward blocks and decreases for high, in alternating
ramp-like drifts. (A) Recordings from a sequence of correct trials, alternating between high (“Hi Reward”) and low
reward (“Lo Reward”) in blocks of 10. Lines indicate regression fits to each block separately. Increasing slope implies
decreasing local tissue blood volume. Correct trials were concatenated after excising incorrect ones while maintaining
vertical position (see S6 Fig). This panel shows 20 blocks of 102 total: 1,160 trials total, 1,019 correct. (B) Histogram of
regression slopes in high- versus low-reward blocks. Same data set as (A) (p-values, bootstrap, 10,000 resamples) (data
in S21 Data). (C) Comparing median slopes of high-reward versus low-reward blocks over the set of all experiments
(“expt.”). All the statistically significant data points lie in the upper left quadrant, “Lo(-)/Hi(+)”—i.e., with negative
slopes for low- and positive slope for high-reward blocks (N = 19 experiments: using only those with at least 10 pairs of
alternating blocks of 10 trials each). The results shown here were based on correct trials alone. Analyses that utilized all
trials including incorrect ones gave results that were broadly similar but were sometimes harder to interpret because of
the arbitrary duration of sequences of incorrect trials (S6 Fig) (data in S20 Data). Hemo, hemodynamic response; NS,
not significant.
https://doi.org/10.1371/journal.pbio.3000080.g006
the two electrodes over a 1-second sliding window, since that was expected to increase at rest
[56]. To focus on slow changes, all recordings were downsampled to get, in effect, the
smoothed average in a 60-second window (see Methods).
We then assessed changes in these physiological and neural measurements as the animal
switched state, marking the state based on the fraction of time within the 60-second window
that the eyes were closed (Fig 7A, top row, “Eyes closed”). Spontaneous eye closures in the
dark have been shown to provide a useful measure of drops in “vigilance” [49], correlating well
with electroencephalographic (EEG) and fMRI indicators [57]. For this study, epochs during
which the eyes were shut more than 60% of the time were defined as “rest,” whereas those with
less than 5% of time with eye closure were considered “engaged.” To check, we compared with
an LFP measure of arousal based on the ratio of power in the beta- and theta-range frequency
bands (15–25 Hz and 3–7 Hz, respectively) as suggested by earlier studies ([57]; also reviewed
in [48]). To get a measure that was low when the animal was engaged in his task and high
when at rest [48], as with eye closure, we placed the theta power in the numerator. The square
root of this ratio further compressed the dynamic range to roughly 0–1, as with eye closure.
These two measures based on eye closure and on the LFP were closely comparable (Fig 7A,
upper two rows and inset), supporting the use of eye closure to segregate physiological mea-
surements by the state of task engagement.
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Modulating task-related hemodynamics
Fig 7. Mean local blood volume, spiking, and heart rate trace switches between states of task engagement and rest. (A) Traces show continuous 2.5-hour
records of measured variables as indicated by adjoining labels, smoothed and downsampled to a 60-second sampling rate to track slow changes. (See text and
Methods for more details.) Red and green bars on top mark epochs of rest (defined as “Eyes closed” > 0.6—i.e., >60% of the 60-second sample time) and task
engagement (sections with eyes open, defined as “Eyes closed” < 0.05—i.e., <5% of the time). “Eyes closed” is highly correlated with the LFP measure (see text
for definition. Pearson’s r = 0.94 for the example data set. Inset shows histogram of Pearson’s r for similar pairwise correlations over all data sets used for this
analysis, N = 11). Performance in the task is quantified as the (smoothed) fraction of trials initiated in the 60-second (i.e., approximately 4-trial) window.
“Hemo” marks the mean hemodynamic response (dR/R); “Spike1” and “Spike2” mark multiunit responses recorded from two electrodes spaced 4 mm apart in
the imaged region. “Spk1-Spk2 Corr” marks the pairwise correlation between these two recordings over a 1-second moving window. “HR” marks mean heart
rate. The red box indicates the section of hemodynamic and corresponding Spike1 spiking measurements (red asterisk) that are analyzed at a higher temporal
resolution in Fig 8A. (B1-B6) Scatterplots of the measured values for the given experiment, as indicated, versus “Eyes closed.” Each data point represents a
single smoothed, nonoverlapping 60-second sample. Data points are segregated into “task-engaged” (black) and “rest” (gray) using the value of “Eyes closed” as
described. Red lines connect medians (data in S22 Data). (C1-C6) Lines connecting medians as in (B1-B6) for all experiments (“expts”) used (N = 11) (data in
S23 Data). LFP, local field potential.
https://doi.org/10.1371/journal.pbio.3000080.g007
The mean neural and HR measurements thus segregated showed systematic changes as the
animal switched between states of rest and task engagement but in a direction opposite to that
expected to increase blood volume at rest (Fig 7A). Thus, the mean HR, averaged over the
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Modulating task-related hemodynamics
moving 60-second window, reduced systematically relative to its local baseline value each time
the animal disengaged from work and rested with eyes shut (Fig 7A: bottom trace [“HR”]: see
shaded areas indicating rest). This is consistent with the abrupt falls in mean HR and blood
pressure seen at sleep onset in human subjects [58]. But it suggests that the concurrent increase
observed in V1 local blood volume is not a passive consequence of cardiovascular changes, as
that would require an increase rather than a decrease in HR [59]. Similarly, the mean spike
rate recorded at individual electrodes typically decreased as the animal rested. If the blood vol-
ume at rest were driven linearly by local spiking, then the mean spike rate should have
increased [1]. Although the mean spike rates at individual electrodes largely decreased, the
pairwise correlation of spike rates over the pair of electrodes showed the expected [56] striking
increases for the epochs of rest versus engagement.
Comparing hemodynamics and spiking for the same data set at the higher imaging tempo-
ral resolution (15 frames/second; Fig 8) supported our contention that the large blood volume
increases at rest are not predicted from spiking. This conclusion was not immediately apparent
on qualitative inspection (Fig 8A; same data segment as enclosed in the red box in Fig 7A). At
the higher temporal resolution, the spiking response showed expected [60] bursts of high
instantaneous spike rate (red arrow, Fig 8A) that stood out despite the overall reduction in
mean spike rate as the animal rested with eyes shut (red asterisk in “Spike1,” Fig 7A). The cor-
responding blood volume measurements showed large swings in amplitude that appeared,
qualitatively, to follow the bursts of spiking. Our earlier work showed that the recorded hemo-
dynamics is poorly predicted by spiking when the animal is engaged in his task, because of the
presence of the task-related response (see S1 Fig; [31,44,55]). But there should be no task-
related response, by definition, when the animal is disengaged from the task with his eyes shut
and the hemodynamics could in principle be predictable from spiking. It was thus important
to test the relationship between the two at this higher temporal resolution.
We tested using deconvolution—i.e., multilinear regression (see Methods, Eqs 9–12),
which has the advantage that it makes no assumptions about HRF shape [61]. The deconvolu-
tion was done over partially overlapping 150-second windows (75-second steps; 150 seconds
typically covered 10 trials) to get adequate temporal resolution for tracking rest states (e.g., the
rest epoch in Fig 8A, indicated by the red bar, lasts about 400 seconds. Shorter deconvolution
windows led to excessive noise). Each design matrix contained not only the spiking regressor
for the given deconvolution window but also additional intercept and slope terms. The inter-
cept is analogous to the “y intercept” in 1D linear regression, quantifying an inhomogeneous
addition to a homogeneous linear equation. Here, we defined it as an estimated inhomoge-
neous “mean shift” in the hemodynamic response, in addition to hemodynamic components
that are linearly predictable from spiking. The full prediction using the deconvolved HRF ker-
nel plus additional “mean shift” matched measured hemodynamics very well overall (Fig 8A,
compare “Hemo, full pred,” green with “Hemo, meas,” black. Goodness of fit, R2 = 0.94, over
this rest epoch). The HRFs from deconvolution windows falling within the rest epoch also
matched each other well and resembled canonical HRFs (inset “HRFs,” Fig 8A; also see S5 Fig
for an example canonical HRF). They predicted the high-frequency fluctuations in the mea-
sured hemodynamics well, indicating that these high-frequency terms are accounted for by
spiking (Fig 8A, “Hemo, spiking pred,” red). However, they failed to account for the increase
in the mean blood volume, predicting a decrease instead (prediction rising above baseline),
which is consistent with the decrease in the local mean spiking. The measured increase in the
blood volume was well accounted for, on the other hand, by the fitted “mean shift” (Fig 8A,
“Hemo, mean shift”; the slope terms made only small contributions). The same pattern was
seen over the full 2.5-hour recording (Fig 8B). Linear predictions from spiking matched the
high-frequency fluctuations of hemodynamics during rest epochs whereas the additional
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Modulating task-related hemodynamics
Fig 8. Hemodynamic response during rest is the sum of a high-frequency component predicted linearly by spiking
plus an additional mean shift not predicted by spiking. The same data set as in Fig 7 is shown at a temporal
resolution of 66.7 ms (15 Hz camera frame rate). (A) Expanded view of the sections of “Eyes closed,” “Hemo,” and
“Spike1” data enclosed by a red box in Fig 7A, along with three alternate predictions of the measured “Hemo”
response. “Eyes closed” is shown as in Fig 7A, top trace, with green and red bars indicating periods of task engagement
and rest. Red arrow over the “Spike1” points to peaks of high instantaneous spike rate, indicating burst of spiking
despite lower mean spike rate over this epoch (24.7 spikes/second average under “Eyes closed” red bar, Panel A, versus
29.4 spikes/second average in the two flanking green sections where eyes were open; same data as in Fig 7A, red
asterisk). “Hemo” refers to 4 different hemodynamic traces color-coded as in the key. Black (“meas.”) = the measured
response, same data as in Fig 7A. Green (“full pred.”) = full prediction following deconvolution. Red (“spiking pred.”)
= linear prediction from spiking using deconvolved HRFs. The inset (“HRFs”) shows optimal HRF kernels from
deconvolution windows in the “Eyes-closed” segment; colors are arbitrary. Magenta (“mean shift”) = fit to the
intercept term in the design matrix, estimating components not predicted by spiking (see accompanying text). Black
arrowheads pertain to an additional analysis in supplementary data; they point to two segments marked for
comparison with an alternate deconvolution and prediction made without intercept terms in the design matrix (see S8
Fig). (B) Results of the deconvolution and prediction as in (A), shown over the full experiment. (The location of the
expanded section in panel A is also indicated.) Only measured spiking, measured hemodynamic trace, and
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Modulating task-related hemodynamics
deconvolved “mean shift” are shown; full and “spiking” predictions are not shown to avoid clutter. Red arrow marks a
burst of high instantaneous spiking despite lower overall mean; this burst is expanded in (A). HRF, hemodynamic
response function.
https://doi.org/10.1371/journal.pbio.3000080.g008
mean shift tracked the mean measured hemodynamic response (compare Fig 8B, “mean shift”
with “Hemo” trace in Fig 7A). This result supports the suggestion that the large changes in
mean blood volume during rest were likely driven by a mechanism acting in addition to spik-
ing. Similar results were obtained for all extended recording sessions, including ones in which
the mean spike rate increased during rest.
It could be argued that the deconvolved “mean shift” is just the fit to the intercept term that
we chose to include in the design matrix. It would thus necessarily fit the mean of the mea-
sured response, by design, with no additional physiological significance. We tested by fitting
the same data, using an identical deconvolution approach but without intercept terms in the
design matrix (see S8 Fig). The resulting prediction was much worse at matching the measured
hemodynamics. In addition, the deconvolved HRFs obtained from this new fit were markedly
different from canonical spiking HRFs in two ways. First, the HRFs now incorporated the
mean CBV for their respective deconvolution windows. They thus acquired large mean shifts
that made them apparently acausal with large nonzero values prior to time zero. In addition,
HRFs from successive deconvolution windows were noisy and matched each other poorly.
This distinctly poorer fit without the intercept term suggests that the “mean shift” in the full fit
(Fig 8) represents a physiological component of the hemodynamic response during the eyes-
closed, disengaged behavioral state.
Discussion
Our goal is to understand the task-related endogenous component of hemodynamic responses
recorded from visual cortex of subjects engaged in cued, predictable tasks. The existence of
such responses has been known for more than a decade [16,33,35–41]. Their substantial
strength relative to other brain hemodynamic components is well recognized [34]. Recent
studies suggest their relevance to sensory processing [33,35]. Yet they have not been adequately
studied, and little is known about their underlying mechanism or behavioral significance.
Here, we consider the behavioral correlates of one particularly prominent task-related
response recorded by us in V1 of behaving macaques [31], which is likely analogous to
responses seen in human visual cortex [16,37].
Our work here suggests that this task-related response reflects brain mechanisms associated
with the degree of task engagement. On increasing reward size to get the animal more engaged,
the most notable effect, trial-by-trial, was improved temporal precision: the response became
consistently more crisply aligned to task timing. It also became modestly stronger. At a slower
timescale, different levels of task engagement led to consistent shifts in the mean local blood
volume. High-reward blocks led to consistent decreases in the mean blood volume, whereas
low-reward blocks led to corresponding increases. This effect was even more pronounced
when the animal disengaged completely from his task and rested with eyes closed. The mean
blood volume increased strikingly during these breaks, returning to baseline when the animal
resumed working (also see [62]). Other than a high-frequency component while the animal
slept, none of the hemodynamic measurements at any time scale—whether trial-by-trial or
averaged across blocks while the animal worked, or the mean while the animal slept—could be
accounted for by concurrent local spiking. On a methodological note, we recorded the hemo-
dynamic response using ISOI at a wavelength tuned for measuring cortical blood volume.
Such recordings have a steadier and more reliable baseline than blood oxygen level–dependent
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Modulating task-related hemodynamics
(BOLD) fMRI, suffering much less from instrumental noise and drift. This allowed us to moni-
tor the response continuously over many hours, thus obtaining the reported results, including
the prominent mean shifts.
We propose that the task-related hemodynamic response and the effects reported in this
paper comprise a marker of task-specific arousal tied to the level of engagement during an
extended and possibly repetitive task. The term “arousal” is used in different senses in different
areas of research, from arousal during tasks such as here to arousal in the face of fear or danger
to nonspecific arousal along the sleep–wake axis [48]. The literature on task-specific arousal
thus suggests avoiding the term “arousal” in favor of “vigilance,” “alertness,” or “sustained
attention” [48–50]. This condition of sustained engagement in a task is known to fluctuate
between states of higher stability, which are less prone to error (“in the zone”), and states that
are more unstable and error-prone (out of “the zone”; see, e.g., [50]). The state of being “in the
zone” is marked by higher regularity and temporal precision; responses “in the zone” show less
variability in reaction time, trial-by-trial, even when the mean reaction time remains
unchanged overall [50]. The state is further enhanced by reward, which leads to even less vari-
ability in reaction times, in a manner that appears distinct from increased arousal [63]. This
behavioral result may have a physiological analog in our finding of improved temporal preci-
sion or regularity of the task-related hemodynamic response during high reward (Fig 3 and
accompanying text). An attractive possibility is that the task-related response reflects the
behavioral state variously labeled “vigilance,” “alertness,” or “sustained attention” in the cited
literature. Our term “task engagement” is a shorthand reflecting this possibility as well as a
nod to the initial report of this hemodynamic response component, which described it as “task
structure” related [16]. Much remains to be done to flesh out these connections.
An important question remains: How closely does the task-related hemodynamic response
we record in macaque V1 correspond to the response identified in human visual cortex? And
how distinct is it from selective visual attention [16]? Currently, the strongest evidence is that
although varying substantially in time, the task-related response in the macaque is spatially
homogeneous over the imaging window (a circular region 15 mm in diameter, typically
extending approximately 1–6˚ eccentricity [32]). This makes it unlikely to be selective atten-
tion at the fovea (e.g., for the task of discriminating the fixation cue color) that should lead to
spatially graded activation over this cortical extent [16,64,65]. Additional evidence comes from
the response timing. If it were selective attention cued to the fixation point, its time course at
fix onset should be stereotyped independent of trial length. That was not the case in an earlier
test; the starting time course even switched sign when switching between blocks of short versus
long trials (e.g., 8 versus 20 seconds; see Fig 3 and Supplementary Fig S9 in [31]). This result
also speaks to a corollary question arising from our describing the response as being entrained
to task timing. It could be argued that the hemodynamics and the sympathetic-like changes in
HR and pupil are, instead, responses to the reward acting as a stimulus. However, our earlier
results noted above showed the hemodynamics to be entrained to the expected timing of
upcoming trials rather than a stereotyped response to the reward. It should thus be interpreted
as task-entrained albeit modulated by the current reward. However, although the evidence is
strongly suggestive, the questions are interesting and open and remain topics of ongoing
research in the lab.
What could be the underlying mechanism or function? Although the poor prediction by
recorded spiking does not rule out control by a small, hard-to-measure set of specialized neu-
rons, it also suggests a different underlying mechanism such as neuromodulatory input (e.g.,
see [66]). The strong sympathetic-like responses (Fig 1) suggest the basal forebrain-cholinergic
(BF-ACh) or the locus coeruleus-adrenergic (LC-NA) systems, both of which are linked to
wakeful states, arousal, and attention. They powerfully facilitate hemodynamic responses via
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Modulating task-related hemodynamics
modulation of stimulus-evoked neural responses (reviewed in [67]) with additional control of
cortical blood flow [68] through direct modulation of microvessels [69,70] or via astrocytes
[71] or pericytes [72]. Other neuromodulators such as dopamine could also be involved [73].
All of this can lead to robust neuromodulator-mediated increases [68,74,75] or decreases [70–
72,76] in cortical blood flow. Our finding of a stereotyped response shape independent of tem-
poral precision could be accounted for by a mechanism in which the response timing is deter-
mined in a distal nucleus through temporal dynamics local to that nucleus. The result could
then be transmitted in an all-or-nothing manner, like an action potential, to the target (here,
V1), where it could release a fixed quantum of neurotransmitter. In addition, there could be a
contribution from myogenic mechanisms independent of neural input, as suggested in a
recent study of ongoing vascular fluctuations [77]. A combination of such mechanisms could
modulate neural responsivity and vascular tone in a manner that reflects the level of task
engagement. In single trials, this could help refresh the local blood supply ahead of task onsets
[78]. Over more extended periods, it could also shift the mean vascular tone—e.g., by slow
accumulation of the active substance—to higher values for high task engagement and the con-
verse for low. Such a mean shift could account for the surprising finding of progressively lower
mean blood volume for higher task engagement, since higher vascular tone does imply nar-
rower blood vessels and thus lower tissue fraction occupied by blood. The increased vascular
tone could have additional functional benefits of higher precision in stimulus-evoked hemody-
namic responses. For example, adrenergic increase in vascular tone has been shown to lead to
spatially and temporally sharper vascular responses to neural activity [71]. Exploring these
issues through targeted experiments in behaving animals would be crucial to understanding
brain mechanisms of task engagement.
Methods
Experimental model and subject details
Animal use procedures were in accordance with the United States NIH Guide for the Care and
Use of Laboratory Animals and were approved by the IACUC of Columbia University and the
New York State Psychiatric Institute (Animal Care Protocol AC-AAAU1456). Two male rhe-
sus macaques (Macaca mulatta) were used in the study. Access to water was scheduled to
training or recording sessions that lasted 3–5 hours per day. Eye fixation and pupil diameter
were recorded using an infrared eye tracker (ISCAN [79]). Before training, each animal was
implanted with a stainless steel or titanium head post. After training, craniotomies were per-
formed over the animals’ V1, and glass-windowed stainless steel or titanium recording cham-
bers were implanted for subsequent ISOI in the behaving animal (see section “ISOI” below).
The craniotomy exposed a 20-mm diameter area of V1 covering visual eccentricities from
about 1 to 10˚. The exposed dura was resected and replaced with a soft, clear silicone artificial
dura (GE Silicone RTV615 001). Recording chambers and artificial dura were fabricated in
our laboratory following published designs [80,81]. Chambers were opened regularly for clean-
ing, testing for infection, and treating if necessary, following published protocols [43].
Method details
Summary. Extracellular electrode recording was carried out simultaneously with ISOI
from V1 of behaving monkeys performing a periodic visual fixation task. Task and recording
methods are essentially identical to those in earlier papers from our lab [31,44,45,55].
Task and reward schedules. All experiments were based on a simple fixation task carried
out either under essentially complete darkness or in the presence of visual stimuli. In both con-
ditions, animals held fixation periodically, cued by the color of a fixation spot (fixation
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Modulating task-related hemodynamics
window: 1.0–3.5 deg. diameter; monitor distance: 133 cm; fixation duration: 3–5 seconds; trial
duration: 9–22 seconds; all parameters fixed for a given experiment but variable between
experiments). A juice reward followed every correct (unbroken) fixation, with no time-out or
other punishment for errors. The primary behavioral manipulation consisted of systematically
changing reward size.
For fixation trials in the dark room, the monitor was covered and the fixation point was
presented behind a pinhole [31]. Reward sizes were alternated between high (typically 0.45 ml
per correct trial, ranging from 0.35 to 0.6 ml) and low (typically 0.15 ml per correct trial, rang-
ing from 0.1 to 0.2 ml. High- and low-reward sizes were fixed for an experiment; they were
selected per day based on the animal’s willingness to work for the low reward). Rewards were
alternated in blocks (typically 10 correct trials each; some experiments had longer blocks;
some experiments had blocks of variable size). The animal had to correctly complete the full
set of trials per block—i.e., not counting error trials—before the reward switched. Trials were
grouped into “high-reward” and “low-reward” blocks for analysis. Errors were identified by
the block in which they occurred—i.e., as “high” or “low” reward based on the preceding cor-
rect trial. Continuous sequences of error trials were counted as a single error to avoid arbitrary
overcounting during epochs in which the animal disengaged from work and took a nap. Thus,
each counted error corresponded to a break following one or more correct trials. These experi-
ments accounted for the majority of the reported results. For visually stimulated trials (Fig 5
and S5 Fig), the animals were passively shown gratings of different contrasts while holding fix-
ation (sine-wave gratings; contrasts doubled in steps ranging typically from 6.25% to 100%;
mean luminance = background luminance = 46 cd/m2; spatial frequency: 2 cycles/deg; drift
speed 4 deg/second; diameter 2–4 deg; orientation optimized for the electrode recording site.
These data are reanalyses of earlier experiments designed to relate hemodynamics to electro-
physiology over a wide dynamic range of stimulated responses [44,45,55]). Reward sizes for
these experiments increased progressively from a baseline (typically 0.2 ml per correct trial) to
a maximum value (typically 0.6 ml per correct trial) for each successive correct fixation to keep
the animals motivated. Again, the lowest reward size per day was chosen based on the animals’
willingness to work. For analysis, trials were grouped into “high-” and “low-reward” sets rela-
tive to the median reward. Sequences of errors were also counted as single errors for these
experiments, as with the dark room. However, errors were not identified as “high” or “low”
reward. Since rewards were increased progressively for correct trials, errors (which often
occurred at the end of a sequence of trials) typically followed a high reward; but that associa-
tion was not informative.
ISOI.
ISOI is based on the finding that in vivo and in the visible spectrum, changes in
light absorption in cortical tissue primarily measure changes in oxy- and deoxyhemoglobin in
the blood flowing through cortical blood vessels [51,82,83]. ISOI deduces hemodynamic
responses by imaging changes in light reflection at relevant wavelengths off the exposed corti-
cal surface. CBV and oxygenation changes measured using ISOI can be used to predict concur-
rently measured fMRI responses [53], making ISOI in effect an optical analog of fMRI albeit
restricted to upper layers of exposed cortex. We imaged at 530 nm (green), an isosbestic wave-
length that is equally absorbed by oxy- and deoxyhemoglobin. Increased absorption of light at
this wavelength thus measures increased cortical tissue fraction of hemoglobin—in effect local
cortical blood volume, independent of oxygenation state [54]. After the animals had recovered
from surgery, we used this technique to image their V1 through the glass window of the
recording chamber routinely while they engaged in the fixation task. Imaging hardware con-
sisted of the following: camera (Dalsa 1M30P; binned to 256 × 256 pixels, 7.5 or 15 frames per
second) and frame grabber (Optical PCI Bus Digital; Coreco Imaging). Imaging software was
developed in our laboratory in C++ based on a previously described system [84]. Illumination
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was provided by high-intensity LEDs (Agilent Technologies, Purdy Technologies). The lens
was a macroscope [85] of back-to-back camera lenses focused on the cortical surface. Imaging,
trial data (trial onset, stimulus onset, identity and duration, etc.), and behavioral data (eye
position, pupil size, timing of fixation breaks, fixation acquisitions, trial outcome) were
acquired continuously. All data analyses were performed offline using custom software in
MATLAB (MathWorks; RRID:nlx_153890).
Electrophysiology. Electrode recordings were made simultaneously with optical imaging.
Recording electrodes (FHC, AlphaOmega; typical impedances approximately 600–1,000 kO)
were advanced into the recording chamber through a silicone-covered hole in the external
glass window, using a custom-made low-profile microdrive. Recording sites were mostly but
not exclusively confined to upper layers. Signals were recorded and amplified using a Plexon
recording system (RRID:nif-0000-10382). The electrode signal was split into spiking (100 Hz
to 8 kHz bandpass) and LFP (0.7–170 Hz). Subsequently, an additional analog 2-pole 250-Hz
high-pass filter was applied to spiking, effectively eliminating any spectral power overlap
between LFP and spiking. No attempt was made at isolating single units, and all measured
spiking was multiunit activity (MUA) defined as each negative-going crossing of a
threshold = roughly 4× the r.m.s. of the baseline obtained while the animal looked at a gray
screen. The LFP recording was analyzed to obtain two bandpass-limited measurements in the
beta- and theta-range frequency bands (15–25 Hz and 3–7 Hz, respectively; multitaper spectral
analysis using the Chronux MATLAB toolbox). This gave an LFP measure of (low) vigilance
defined by the square root of the ratio of power in theta versus beta.
Analysis: Preprocessing. The imaging measurement was averaged over the imaged area,
frame by frame (frame rate: 7.5 or 15 frames/second), and then divided by the mean value of
this quantity for the given experiment (over all trials). This converted the measurement per
image frame into dR
R
particular imaging wavelength of 530 nm, the negative of this quantity ((cid:0)
the fractional increase in local tissue hemoglobin—i.e., the fractional increase in local cortical
blood volume [54]. The dR
was then detrended, and a prominent pulse artifact was filtered out
R
from the measured hemodynamics using Runline (Chronux) with a window of 2 seconds. This
filtered dR
R
(i.e., the fractional change in light reflected off the cortical surface). At the
) is proportional to
defined the measured hemodynamic response for all calculations.
dR
R
The pulse artifact was used to estimate the instantaneous HR after upsampling 8× and iden-
tifying peak times and thus the local pulse rate. Both the estimated HR and the spiking mea-
surements were then resampled and aligned to the imaging frames. Neither the imaging nor
spiking nor estimated HR were further temporally filtered. Unlike in our earlier papers, we did
not high-pass filter to remove slow fluctuations [31,44,45,55], specifically so as to be able to
estimate fluctuations over slow timescales of many minutes.
Template matching (dark-room experiments: Fig 2). The amplitude and timing of the
task-related response, per trial, were estimated as the height and location of the corresponding
peak of a Template Match. This Template Match consisted of the continuous, normalized dot
product of a template with the measured hemodynamic response. The calculation involved the
following steps:
1. The default template “Tmplt” was defined to be the one-trial-long mean hemodynamic
recording (z-scored to give “H(t)”) aligned to trial onsets, averaged across all correct trials,
and mean-subtracted.
2. This Tmplt was then slid over H(t) in unit time steps (at the resolution of the imaging frame
rate; e.g., 66.7 ms for 15 frames/s). At every time point t, the Template Match was defined to
be the local dot product over the one-trial-long section of H centered on t, normalized by
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Modulating task-related hemodynamics
the (fixed) sum of squares of the Tmplt (Fig 2B):
Template Match ¼
HðtÞ:Tmplt
P
jTmpltj2
ð1Þ
This expression is identical in form to the Pearson’s correlation between the Tmplt and the
same one-trial-long segment of H(t), other than the normalization. Thus, like Pearson’s r,
this expression would have local maxima where the local one-trial-long segment of H(t)
matched the Tmplt in shape (Fig 2B). The Template Match is also invariant to shifts in the
mean of H(t), since the Tmplt is mean-subtracted and thus integrates to zero over any addi-
tional constant. However, unlike Pearson’s r, this expression carries scale information.
Pearson’s r has the standard deviation of both arguments in the denominator, making it
scale-invariant. The Template Match on the other hand, with its fixed normalization inde-
pendent of H(t), scales linearly with the amplitude of fluctuation in H(t). Thus, peaks of the
Template Match carry information about both timing and amplitude of the task-related
response per trial.
3. For computational efficiency in MATLAB, the above expression was rewritten as the nor-
malized convolution of H(t) with the time-reversed version of the template Tmplt:
Template Match ¼
HðtÞ � TmpltTR
jTmpltj2
P
ð2Þ
where TmpltTR is the time-reversed Tmplt; i.e., TmpltTR(t) = Tmplt(−t), and the symbol �
denotes convolution. The denominator for normalization remains unchanged. This expres-
sion translated to the following script using MATLAB functions conv and sum:
Template Match ¼
convðH; TmpltTR;0same0Þ
sumðjTmpltj2Þ
ð3Þ
Peaks of Template Match were then identified as zero crossings of the first derivative at points
where the second derivative was negative (marked by red dots in Fig 2B).
4. Alternate template matches used the same formalism but with different definitions of
Tmplt. Thus, the Tmplt in S2 Fig was defined as the one-trial-long mean H(t) aligned to a
point that was one-quarter trial ahead of trial onsets, averaged across all correct trials, and
mean-subtracted. All other steps were the same.
Template matching (with visual stimuli present: Fig 5, S5 Fig). This involved two sepa-
rate sets of steps.
1. Estimating the task-related response from the net recorded hemodynamic response:
i. We modeled the net recorded response as a linear sum of stimulus-evoked and task-
related components. The stimulus-evoked response was modeled as the convolution of
concurrent spiking with an “HRF” kernel. The task-related component was estimated
iteratively. Our earlier approach [55] had modeled it as a stereotyped task-related func-
tion (“TRF”) that was identical in timing and amplitude for each correct trial. Here, how-
ever, we specifically need to estimate trial-by-trial variations in response timing and
amplitude. As a first step, we assumed that the TRF had a fixed shape that could be esti-
mated from the mean across trials. Optimal mean HRF and TRF kernels were obtained by
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Modulating task-related hemodynamics
fitting the mean recorded responses, separated by contrast, with the following equation,
identical to Eq 1 in [55]:
HðtÞ ¼ HRF � SðtÞ þ TRF � TrlðtÞ
ð4Þ
H(t) is the recorded hemodynamics and S(t) the concurrently measured spiking, and
HRF�S(t) models the stimulus-evoked response. The second term on the RHS models the
task-related response as a TRF kernel convolved with the set of delta functions at trial
onsets, "Trl(t)”. The symbol � denotes convolution over time.
The HRF kernel was parametrized, as before [31,44,45], as a gamma-variate function of
time t:
HRF t; t; W; A
ð
Þ ¼ A
� �a
t
t
�
exp (cid:0) a
�
t (cid:0) t
t
ð5Þ
The HRF parameters fitted during optimization are the amplitude A, time to peak τ, and
full width at half maximum W [31,86,87]. The factor a ¼ 8:0 � log 2:0ð
The TRF kernel was parametrized as the finite sum of a Fourier time series:
�
�
�
(cid:0) �2.
Þ � t
W
�
XN
n¼1
�
an cos n
2p
PT
t
�
þ bn sin n
2p
PT
t
ð6Þ
TRF t; a; b; P; N
ð
Þ ¼
Although the Fourier series was based on the trial period T, the fundamental Fourier
period was allowed to vary as a fraction P of the trial period and optimized in the fit. The
parameters an and bn, (with n ranging from 1 to the total number of terms in the Fourier
series, N) are the pairs of cosine and sine coefficients, respectively, for the nth Fourier
term. We showed earlier that only the fundamental and first harmonic—i.e., N = 2, carry
significant information [55]. Thus, there are eight parameters in the model: three for the
HRF, the two pairs of an and bn, and P.
ii. All parameters were optimized simultaneously by matching the predicted to the mea-
sured hemodynamics using a downhill simplex algorithm (fminsearch, MATLAB meth-
ods as in [45]). To keep contrast information, we made concatenated sequences of the
mean response per distinct contrast, randomized per contrast (same random sequence
for hemodynamics, and spiking), and over multiple blocks (an arbitrarily large number
52, about 100× larger than a single HRF kernel convolution length, to minimize edge
effects; we only matched traces two convolution lengths in from the edge). The error to
�
�
be minimized was defined as the normalized sum squared error
SSerror
SStotal
calculated sepa-
rately per contrast and then averaged over all contrasts including the blank. This was
intended to give equal weight to the fractional error at each stimulus contrast. The good-
ness of fit R2 for the optimal prediction was defined as the coefficient of determination
�
1 (cid:0)
calculated separately per contrast and averaged across contrasts. This, again,
�
SSerror
SStotal
was intended to give equal weight to errors at each contrast. In order to reduce the
chances of getting caught in a local minimum, we started with large sets of initial param-
eter values, independently covering an order of magnitude for each fitted parameter. The
fits were robust and converged to the same optimal parameters from multiple starting
values, giving us confidence that we had reached global and not local minima.
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Modulating task-related hemodynamics
iii. Next, we used the optimal fitted HRF thus obtained from the mean hemodynamics and
spiking, averaged per contrast, to get a continuous estimate of the exogenous, visually
evoked component of measured hemodynamics. This was done by convolving the opti-
mal HRF with the measured spiking, including both the spiking from the controlled
visual stimuli and from uncontrolled visual stimulation as the animal looked around in
between fixations:
HSTIMULATEDðtÞ ¼ HRF � SðtÞ
ð7Þ
iv. This estimate of HSTIMULATED was subtracted from the full measured hemodynamics to
get an estimate of the endogenous, task-related component of hemodynamics as the
residual not accounted for by spiking:
HTASK(cid:0) RELATEDðtÞ ¼ HðtÞ (cid:0) HSTIMULATEDðtÞ
ð8Þ
2. Estimating task-related response peaks and amplitudes:
i. The estimate of the task-related response HTASK−RELATED(t) as defined above was then
used, exactly like the full hemodynamic response in the dark room, to estimate response
times and amplitudes trial-by-trial. As a template, we used the optimal TRF obtained
above by fitting to mean responses. The steps for template matching and identifying and
analyzing peaks were identical to those outlined in Eqs 1–3, with the H(t) being replaced
with HTASK−RELATED(t) and the Tmplt(t) being replaced with the optimal TRF. Peak
times and amplitudes, per trial, were obtained exactly as in the dark-room template
match.
Tracking measured variables as animal switches from task-engaged to disengaged with
eyes closed (Fig 7). To track slow changes in all measured variables, we downsampled the
data. Data were averaged using a 15-second box car that corresponded roughly to a single trial
and then decimated 4×, giving in effect a smoothed 60-second sample rate. Along with MUA
spike rates at individual electrodes and the measured hemodynamics, the following measure-
ments were thus tracked:
1. “Eyes closed”: Fraction of time over the 60-second averaging window that eyes are closed.
Eye closure was monitored using the output from the IR eye tracker. All blinks or eye clo-
sures appeared as sequences of missing points or “rails” (saturated output). Spontaneous
eye blinks in macaques last roughly 200 ms (see [88,89]). Our own data showed a bimodal
distribution with blink durations peaking either at 200 ms or multiple seconds to minutes.
Thus, sequences of missing points lasting <500 ms were considered regular spontaneous
blinks while awake and were marked as having duration = 0. Sequences lasting >500 ms
were categorized as eye closures, and their durations were included in the moving average.
2. “LFP measure”: square root of the ratio of spectral band–limited power in the theta (3–7
Hz) and beta (15–25 Hz) frequency bands, each normalized by its standard deviation over
the entire experiment. We chose this particular ratio to get a measure that was high during
epochs of low engagement in the task to match “Eyes closed,” since theta power increases
sharply on transitions from high to low engagement or to sleep [48]. We took the square
root of the ratio to compress the measure to approximately 0–1 to make it comparable to
“Eyes closed.” There was no attempt to separate the resting state more finely into sleep
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Modulating task-related hemodynamics
stages, since the goal was a broad separation into states of “task-engaged” versus “resting”
with a time resolution of 60 seconds.
3. “Spike1,” “Spike2”: MUA responses recorded from two electrodes spaced 1 mm apart, in
imaged V1.
4. “Spk1-Spk2 Corr”: Pairwise correlation of MUA spike rate from the two electrodes, calcu-
lated over a 1-second moving window.
5. “HR”: Obtained from the pulse artifact in the measured hemodynamics, after upsampling
8× and identifying peak times and thus the local pulse rate. This instantaneous pulse rate,
estimated at pulse time points, was then interpolated with spline smoothing to the imaging
time base (7.5-Hz or 15-Hz sample rate depending on the experiment).
Deconvolution, i.e., multilinear regression (Fig 8). We started with the assumption that
the measured hemodynamics H(t) can be predicted from local spiking S(t) using a homoge-
neous linear equation, along with two inhomogeneous terms: a scalar Intercept and a linear
Slope in each 150-second window, at the resolution of the camera frame rate:
HðtÞ ¼ HRF � SðtÞ þ Intercept þ Slope
ð9Þ
There are no assumptions about the shape of the HRF other than that it does not extend
more than 10 seconds prior to time 0 and is back to baseline about 25 seconds after time 0.
Using the formalism of deconvolution, this expression can be rewritten as a matrix equation
H ¼ S � HRF þ Intercept þ Slope
ð10Þ
where H is a column vector of recorded hemodynamic responses (at the temporal resolution
of the camera frame rate, 15 Hz); S is the spiking regressor expanded into a stimulus convolu-
tion matrix (SCM) [37,61]; the symbol × indicates matrix multiplication; and HRF, Intercept,
and Slope here refer to the same terms as in Eq 10 but expressed as column vectors. The SCM
was constructed as a Toeplitz matrix comprising a horizontal concatenation of spiking column
vectors, with circular time shifts ranging from −10 seconds to +25 seconds relative to t = 0.
Formally, the SCM S can be extended (“Se”) to incorporate the Intercept and Slope by horizon-
tally concatenating the two additional column vectors: a column of ones for the Intercept and a
linear ramp from −1 to 1 for the Slope. The corresponding HRF can be formally extended
(“HRFe”) by two coefficients, one for the Intercept and another for the Slope.
H ¼ Se � HRFe
ð11Þ
Assuming that any noise is Gaussian and has zero mean, the optimal deconvolved HRFe
can then be estimated using a least-squares solution to the linear regression [37,61]:
HRFe ¼ ðSe
T � SeÞ(cid:0) 1 � Se
T � H
ð12Þ
where the superscript T indicates the matrix transpose, -1 indicates the matrix inverse,
and × indicates matrix multiplication. The full prediction using the optimal deconvolved HRFe
kernel is then computed using Eq 11. Similarly, just the (linear, homogeneous) prediction
from spiking is obtained by taking the matrix multiplication over all column vectors of Se, save
the last two, with all coefficients of the deconvolved HRFe, save the last two. Conversely, just
the Intercept term or just the Slope term are obtained by appropriately multiplying the last two
column vectors of Se with the corresponding last two coefficients of the deconvolved HRFe.
The optimal deconvolved Intercept is defined as the additional “mean shift” not predicted by
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Modulating task-related hemodynamics
spiking. As with the model-based approach to fitting used earlier (see Eqs 4–6), the goodness
�
of fit R2 for the optimal prediction was defined as the coefficient of determination 1 (cid:0)
SSerror
SStotal
This was used to compare fits made with versus without including an intercept term in the
design matrix (Fig 8A versus S8 Fig).
�
.
Getting bootstrap estimates for significance (p-values). All comparisons between distri-
butions of amplitudes or peak times were tested for significance by bootstrapping, typically
using 10,000 resamples with replacement. In cases with different numbers of trials for high
and low reward, the smaller number of trials was chosen to make the bootstrap comparison.
For comparing response amplitudes (e.g., Fig 3B), we tested for the median of high-reward
amplitudes being less than that for low-reward amplitudes over the set of all resamples, against
the null hypothesis that this difference has zero mean. We also tested for the complement—
i.e., that median of low-reward amplitudes is less than that of high-reward amplitudes. For
comparing widths of peak time distributions (e.g., Fig 3A), we first calculated the 2 standard
deviation width (specifically, the +/− 34th percentile around the median, given the non-nor-
mal distribution) of each bootstrapped set of peak times separately for high and low reward.
We then tested for 2 standard deviation for high reward being less than that for low reward
over the set of all resamples, against the null hypothesis that the difference has zero mean. We
also tested for the complement—i.e., that 2 standard deviations for low reward was less than
that for high reward.
Fitting spiking to dark-room hemodynamic response using gamma-variate HRF (S1
Fig). To link to spiking, the dark-room response was modeled as a homogeneous prediction
from spiking, fitted by optimizing a gamma-variate HRF kernel using fminsearch as described
above:
HðtÞ ¼ HRF � SðtÞ
ð13Þ
The fitting was done separately for the high-reward and low-reward trials at each recording
site. Stimulus-evoked responses were fitted using a model with a task-related component: Eqs
4–6. In each case, the optimal fitted HRF kernel was then convolved with the continuous
recorded spiking response to give a continuous prediction. Since the spiking response included
both high-reward and low-reward segments, the prediction included sections of “same” pre-
diction (e.g., low-reward spiking convolved with the low-reward kernel) and sections of cross
predictions (e.g., high-reward spiking convolved with the low-reward kernel).
Supporting information
S1 Fig. Local spiking, although appearing to predict mean hemodynamic responses in indi-
vidual recording conditions, is a poor and unreliable predictor of task-related responses
overall. (a,b) Mean measured responses and optimal predictions for low-reward and high-
reward trials, respectively, of a data set recorded in the dark-room task. In each case, the lower
panel shows the mean measured spiking; the upper panel shows the mean measured hemody-
namics as well as the prediction from spiking using the corresponding optimal fitted gamma-
variate HRF kernel (see color code in each column). Low reward (N = 148 trials), R2 = 0.73 for
the optimal prediction. High reward (N = 140 trials), R2 = 0.42 for the optimal prediction. (c)
A separate set of visually stimulated trials at the same recording site, using visual stimuli con-
sisting of optimally oriented drifting gratings at different contrasts, as indicated by the gray-
scale coding (orange bar below depicts the visual stimulation period). Again, the top panel
shows mean measured hemodynamics and optimal predictions grouped by stimulus contrast;
predictions are shifted to the right for visibility (N = 141 trials total, i.e., 47 trials / contrast. R2
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Modulating task-related hemodynamics
= 0.95). (d) The optimal fitted gamma-variate HRF kernels for the three recording conditions,
color coded as shown. Note how poorly they match each other. (e) Comparing the measured
low-reward hemodynamics to predictions using the low-reward dark-room set of spiking
responses (as in panel a)—but with different optimal HRF kernels—from low-reward, high-
reward, and stimulus-evoked sets. The cross predictions are poor (R2 of prediction using high-
reward HRF = −0.014; stimulated HRF = −0.011). (f) Optimal HRFs from the full set of dark-
room experiments, normalized in each case to the amplitude of the corresponding visually
stimulated HRF (N = 56: pairs of high- and low-reward HRFs for each of 28 sets with electrode
recordings). Scale truncates some HRFs of high absolute amplitude to help visualize those of
smaller amplitude. Colors are arbitrary (MATLAB default). The different optimal HRFs match
each other poorly, with some even reversed in sign. This makes cross prediction meaningless
and suggests that apparently good predictions of mean responses in individual experiments
are fortuitous. HRF, hemodynamic response function.
(TIF)
S2 Fig. Increase in temporal precision with reward size is not sensitive to the choice of tem-
plate used to estimate response time and amplitude. (a-d) Same example data set as in Figs 2
and 3. (a) Orange indicates the alternate template defined as the mean hemodynamic response
across correct trials, aligned to a time point one-quarter cycle ahead of trial onset (i.e., starting
at the dashed vertical line 4.1 seconds ahead of time 0. Single trials are shown in gray). Green
background (time points 0–16.4 second) marks the timing of the earlier template for compari-
son (see Fig 2B, “Tmplt”). (b) New template match (orange, “Tmplt Match,” upper row) illus-
trated using the same segment of recorded hemodynamics (“Hemo”) as in Fig 2B. The earlier
template match from Fig 2B is shown alongside for comparison (green, dashed line). Black
dots identify the peaks of the new Template Match, marking locations where the “Hemo” is
locally best phase-matched to the new template (see “Match Peak,” compared to “Match
Trough”). (c) Distributions of response times, defined as the positions of the new template
match peaks. Compare with Fig 3A (same conventions). (d) Distributions of response ampli-
tudes using the new template match. Compare with Fig 3B (same conventions). (e, f) New
response timing distribution 2 standard deviation widths and amplitude medians for high-
versus low-reward trials across all experiments, including p-values from Wilcoxon signed rank
test for the pairwise comparisons. Compare with Fig 3C and 3D (data in S24 Data).
(TIF)
S3 Fig. Response timing does not correlate with fixation onset. (a) Simulation of the null
hypothesis. The task-related response has a stereotyped time course following the onset of fixa-
tion. Response times would then have a constant delay following fix onset, leading to a linear
relation between the two with unity slope (the delay was taken to be 10 seconds for this simula-
tion). The observed tighter clustering of response times for high reward could result from a
corresponding clustering of fixation onsets (consider projection of red dots versus blue dots
on the Response Time axis). (b) Relationship between measured response time (estimated as
usual with a template match) and fixation onset in an early recording session. Animals tended
to hold fixation for extended periods prior to trial onset, even across multiple trials. (c) Rela-
tionship between response time and fix onset in a late recording session. Animals tended to
move their eyes a lot during intertrial intervals, fixating shortly before trial onset. For both
cases (b) and (c), response times were independent of fixation onset and very different from
the pattern expected for the null hypothesis. In both data sets, response times for high-reward
trials showed visibly lower scatter independent of fix onset (data in S25 Data).
(TIF)
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Modulating task-related hemodynamics
S4 Fig. High reward does not correlate with tighter eye movements. (a1) Mean radial eye
movement per intertrial interval in an early recording session. Each dot represents a single
trial (mean eye movement during 7-second intertrial intervals per 9-second trial). Horizontal
lines indicate median eye movement per block of high or low reward (blocks with varying
numbers [13–31] of correct trials each). Intertrial eye movements were higher in low-reward
blocks. (a2) Histogram of mean eye movement per trial. (a3) Relationship between response
time and eye movement per trial, colored by reward size. (b1) Mean radial eye movement in a
later recording session (12-second intertrial intervals in 16-second trials; alternating blocks of
10 correct trials each; all other conventions as in panel A1). Eye movements were higher in
high-reward blocks. (b2) Corresponding histogram of mean eye movements per trial. (b3)
Response time versus eye movement per trial colored by reward size. Low reward leads to
wider scatter of response times in both panels (a3) and (b3) despite opposite effects on inter-
trial eye movement (data in S26 Data).
(TIF)
S5 Fig. Estimating task-related response and its template match in the presence of visual
stimulation (one example data set). (a-c) Estimating optimal fitted parameters (see Methods,
Eqs 4–6). (a) The mean hemodynamic response per stimulus contrast (see key), averaged
across trials. The response is modeled as the sum of the stimulus-evoked component (b) and
the task-related component (c). The stimulus-evoked component is modeled as the convolu-
tion (�) of the measured spiking with a gamma-variate HRF kernel (inset). The mean task-
related component is modeled as the convolution of delta functions at trial onset with a “Mean
TRF” kernel comprising a partial Fourier sum with its fundamental at the trial period (inset).
Earlier work showed that the fundamental and the first harmonic terms of the Fourier series
are adequate. Insets show the optimal fitted gamma-variate HRF (in b) and optimal mean TRF
(in c), respectively. (d) Set of traces illustrating the process of estimating the residual task-
related response and then estimating its timing and amplitude per trial by matching to a tem-
plate (see Methods, Eqs 7 and 8). “Spiking,” “Hemo”: full measured responses, individually z-
scored. “Hemo (predicted from spiking)” is the convolution of the spiking response with the
optimal fitted HRF (b, inset). Subtracting this from the measured hemodynamic response
gives the residual “Hemo (Unpredicted by spiking),” which we defined to be the task-related
response. The moving-window dot product of this residual with the template (the optimal fit-
ted mean TRF [c), inset]) gives the “Template Match” (shifted up for visibility). Timing and
amplitude of task-related responses, per trial, are defined to be the location and height of each
Template Match peak, as for the dark-room task. Showing a section of the full experiment of
483 trials (122 correct). (e) Set of all residual task-related responses, converted back from z-
scored values, separated into trials grouped by reward size. The same data are shown in Fig
5A. HRF, hemodynamic response function; TRF, task-related function.
(TIF)
S6 Fig. Comparing regression lines through alternating blocks of high and low reward, before
(top panel) and after (bottom panel) removing error trials. Color coding for high (red) and
low reward (cyan) is the same as in the main text. Error trials are indicated in lighter colors
and are grouped with the reward block corresponding to the immediately preceding correct
trial. Straight lines show regression fits. Letters (“A,” “B,” “C”) and arrows identify correspond-
ing blocks. Blocks A and B contain individual or short stretches of error trials. C includes a
roughly 400-second stretch during which the animal napped. The time axis has the same scale
for both top and bottom panels, with time 0 indicating the start of the experiment; the bottom
concatenates time points for correct trials. Six consecutive blocks are shown from an
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Modulating task-related hemodynamics
experiment comprising 47 blocks (482 correct trials of 684 total).
(TIF)
S7 Fig. Ramp-like drifts in local blood volume are not accounted for by slow changes in
local spiking. (a, c) Hemodynamics and spiking, respectively, showing correct trials from
alternating blocks of high and low reward. Lines show regression fits per block (same data set
as Figs 2 and 3). (b, d) Histograms with slopes of regression fits from (a), (c). (e) Simplified
simulation of slow mean hemodynamic responses: triangle wave of matching period, with
slopes equal to the median (absolute) slopes of the regression lines in (a) (= 4.1 × 10−5/second).
(f) Simulated spiking response that generates the model hemodynamic response in (e) on
convolving with the visually stimulated HRF for this recording site (see “HRF kernels,” S1 Fig;
also, Methods). Measured spiking regression slopes (d) are only about 4× weaker than those in
the simulation; but they do not alternate in sign with reward size. (g) Distributions of the ratios
of measured spiking regression slope per block to the slope of the corresponding simulation,
as in (e), (f), across all experiments (N = 752 blocks of 10 trials each, 376 blocks/reward size;
from N = 11 experiments with electrode recordings and at least 10 blocks per reward size). p-
Values test for the probability of the distributions being centered on zero (bootstrap, 10,000
resamples) (data in S27 Data). HRF, hemodynamic response function.
(TIF)
S8 Fig. Deconvolution fit of the same data segment as in Fig 8A but with no intercept term
in the design matrix. The full prediction here matches the measured response reasonably well
except for a few locations with large mismatches (black arrowheads; compare with the same
locations in Fig 8A). The overall goodness of fit R2 = 0.76, averaged over this rest epoch, is
worse than for the fit with an intercept (R2 = 0.94; see Fig 8A, text). The inset shows HRFs
from the deconvolution windows covering this rest epoch, as in Fig 8A; colors identify corre-
sponding HRFs for the two fits. HRF, hemodynamic response function.
(TIF)
S1 Data. Data for “Eye Pos” traces in Fig 1B.
(XLSX)
S2 Data. Data for “Hi–Lo” reward pupil dilation histograms in Fig 1B.
(XLSX)
S3 Data. Data for pupil traces in Fig 1B.
(XLSX)
S4 Data. Data for Fig 1C.
(XLSX)
S5 Data. Data for Fig 1D.
(XLSX)
S6 Data. Data for Fig 1E.
(XLSX)
S7 Data. Data for Fig 2A.
(XLSX)
S8 Data. Data for Fig 2C.
(XLSX)
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Modulating task-related hemodynamics
S9 Data. Data for Fig 2D.
(XLSX)
S10 Data. Data for Fig 2E and 2F.
(XLSX)
S11 Data. Data for Fig 3.
(XLSX)
S12 Data. Data for Fig 4A.
(XLSX)
S13 Data. Data for Fig 4B.
(XLSX)
S14 Data. Data for Fig 4C–4F.
(XLSX)
S15 Data. Data for Fig 5A.
(XLSX)
S16 Data. Data for Fig 5B.
(XLSX)
S17 Data. Data for Fig 5E.
(XLSX)
S18 Data. Data for Fig 5F.
(XLSX)
S19 Data. Data for Fig 5C and 5D.
(XLSX)
S20 Data. Data for Fig 6C.
(XLSX)
S21 Data. Data for Fig 6A and 6B.
(XLSX)
S22 Data. Data for Fig 7B.
(XLSX)
S23 Data. Data for Fig 7C.
(XLSX)
S24 Data. Data for S2 Fig.
(XLSX)
S25 Data. Data for S3 Fig.
(XLSX)
S26 Data. Data for S4 Fig.
(XLSX)
S27 Data. Data for S7 Fig.
(XLSX)
PLOS Biology | https://doi.org/10.1371/journal.pbio.3000080 April 19, 2019
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Modulating task-related hemodynamics
Acknowledgments
Thanks to Maria Bezlepkina and Elena Glushenkova for technical support and lab manage-
ment, to Liam Paninski for suggestions about analyzing slow changes in physiological
responses, and to David Heeger, Mike Shadlen, Elisha Merriam, Charles Burlingham, and
Saghar Mirbagherion for comments.
Author Contributions
Conceptualization: Yevgeniy B. Sirotin, Aniruddha Das.
Data curation: Mariana M. B. Cardoso, Bruss Lima.
Formal analysis: Mariana M. B. Cardoso, Bruss Lima, Aniruddha Das.
Funding acquisition: Aniruddha Das.
Investigation: Mariana M. B. Cardoso, Bruss Lima, Yevgeniy B. Sirotin.
Methodology: Mariana M. B. Cardoso, Aniruddha Das.
Project administration: Aniruddha Das.
Resources: Aniruddha Das.
Software: Mariana M. B. Cardoso, Aniruddha Das.
Supervision: Aniruddha Das.
Validation: Mariana M. B. Cardoso.
Writing – original draft: Aniruddha Das.
Writing – review & editing: Mariana M. B. Cardoso, Bruss Lima, Yevgeniy B. Sirotin, Anirud-
dha Das.
References
1. Boynton GM, Engel SA, Glover GH, Heeger DJ. Linear Systems Analysis of Functional Magnetic Reso-
nance Imaging in Human V1. J Neurosci 1996; 16(13):4207–21. PMID: 8753882
2. Rees G, Friston KJ, Koch C. A direct quantitative relationship between the functional properties of
human and macaque V5. Nat Neurosci 2000; 3(7):716–23. https://doi.org/10.1038/76673 PMID:
10862705
3. Engel SA, Zhang X, Wandell BA. Colour tuning in human visual cortex measured with functional mag-
netic resonance imaging. Nature 1997; 388:68–71. https://doi.org/10.1038/40398 PMID: 9214503
4. Buckner RL, Goodman J, Burrock M, Rotte M, Koutstaal W, Schachter DL, et al. Functional-Anatomic
Correlates of Object Priming in Humans Revealed by Rapid Presentation Event-Related fMRI. Neuron
1998; 20(2):285–96. PMID: 9491989
5. Boynton GM, Demb JB, Glover GH, Heeger DJ. Neuronal basis of contrast discrimination. Vision Res
1999; 39:257–69. PMID: 10326134
6. Grill-Spector K, Malach R. fMR-adaptation: a tool for studying the functional properties of human cortical
neurons. Acta Psychologica 2001; 107(1–3):293–321. PMID: 11388140
7.
Logothetis NK, Pauls J, Augath M, Trinath T, Oeltermann A. Neurophysiological investigation of the
basis of the fMRI signal. Nature 2001; 412:150–7. https://doi.org/10.1038/35084005 PMID: 11449264
8. Mukamel R, Gelbard H, Arieli A, Hasson U, Fried I, Malach R. Coupling between neuronal firing, field
potentials and fMRI in human auditory cortex. Science 2005; 309:951–4. https://doi.org/10.1126/
science.1110913 PMID: 16081741
9. Gardner JL, Sun P, Waggoner RA, Ueno K, Tanaka K, Cheng K. Contrast adaptation and representa-
tion in human early visual cortex. Neuron 2005; 47(4):607–20. https://doi.org/10.1016/j.neuron.2005.
07.016 PMID: 16102542
10. Ress D, Backus BT, Heeger DJ. Activity in primary visual cortex predicts performance in a visual detec-
tion task. Nat Neurosci 2000; 3(9):940–5. https://doi.org/10.1038/78856 PMID: 10966626
PLOS Biology | https://doi.org/10.1371/journal.pbio.3000080 April 19, 2019
30 / 34
Modulating task-related hemodynamics
11. Kastner S, Pinsk MA, DeWeerd P, Desimone R, Ungerleider LG. Increased activity in human visual cor-
tex during directed attention in the absence of visual stimulation. Neuron 1999; 22:751–61. PMID:
10230795
12. Somers DC, Dale AM, Seiffert AE, Tootell RBH. Functional MRI reveals spatially specific attentional
modulation in human primary visual cortex. Proc Natl Acad Sci USA 1999; 96:1663–8. PMID: 9990081
13. Gandhi SP, Heeger DJ, Boynton GM. Spatial attention affects brain activity in human primary visual cor-
tex. Proc Natl Acad Sci USA 1999; 96:3314–9. PMID: 10077681
14. Shulman GL, McAvoy MP, Cowan MC, Astafiev SV, Tansy AP, d’Avossa G, et al. Quantitative analysis
of attention and detection signals during visual search. J Neurophysiol 2003; 90(5):3384–97. https://doi.
org/10.1152/jn.00343.2003 PMID: 12917383
15. Serences JT, Yantis S, Culberson A, Awh E. Preparatory activity in visual cortex indexes distractor sup-
pression during covert spatial orienting. J Neurophysiol 2004; 92:3538–45. https://doi.org/10.1152/jn.
00435.2004 PMID: 15254075
16.
17.
Jack AI, Shulman GL, Snyder AZ, McAvoy MP, Corbetta M. Separate modulations of human V1 associ-
ated with spatial attention and task structure. Neuron 2006; 51:135–47. https://doi.org/10.1016/j.
neuron.2006.06.003 PMID: 16815338
Luck SJ, Chelazzi L, Hillyard SA, Desimone R. Neural mechanisms of spatial selective attention in
areas V1, V2 and V4 of Macaque visual cortex. J Neurophysiol 1997; 77:24–42. https://doi.org/10.1152/
jn.1997.77.1.24 PMID: 9120566
18. McAdams CJ, Maunsell JHR. Effects of attention on orientation-tuning functions of single neurons in
macaque cortical area V4. J Neurosci 1999; 19(1):431–41. PMID: 9870971
19. McAdams CJ, Reid RC. Attention modulates the responses of simple cells in monkey primary visual
cortex. J Neurosci 2005; 25(47):11023–33. https://doi.org/10.1523/JNEUROSCI.2904-05.2005 PMID:
16306415
20. Motter BC. Focal Attention Produces Spatially Selective Processing in Visual Cortical Areas V1, V2,
and V4 in the Presence of Competing Stimuli. J Neurophysiol 1993; 70(3):909–19. https://doi.org/10.
1152/jn.1993.70.3.909 PMID: 8229178
21. Roelfsema PR, Lamme VAF, Spekreijse H. Object-based attention in the primary visual cortex of the
macaque monkey. Nature 1998; 395:376–81. https://doi.org/10.1038/26475 PMID: 9759726
22. Vidyasagar TR. Gating of neuronal responses in macaque primary visual cortex by an attentional spot-
light. Neuroreport 1998; 9(9):1947–52. PMID: 9674572
23.
Ito M, Gilbert CD. Attention modulates contextual influences in the primary visual cortex of alert mon-
keys. Neuron 1999; 22:593–604. PMID: 10197538
24. Grunewald A, Bradley DC, Andersen RA. Neural correlates of structure-from-motion perception in
macaque V1 and MT. J Neurosci 2002; 22(14):6195–207. PMID: 12122078
25. Marcus DS, Van Essen DC. Scene Segmentation and Attention in Primate Cortical Areas V1 and V2. J
Neurophysiol 2002; 88:2648–58. https://doi.org/10.1152/jn.00916.2001 PMID: 12424300
26. Cohen MR, Maunsell JHR. Using Neuronal Populations to Study the Mechanisms Underlying Spatial
and Feature Attention. Neuron 2011; 70(6):1192–204. https://doi.org/10.1016/j.neuron.2011.04.029
PMID: 21689604
27. Sylvester CM, Shulman GL, Jack AI, Corbetta M. Asymmetry of Anticipatory Activity in Visual Cortex
Predicts the Locus of Attention and Perception. J Neurosci 2007; 27(52):14424–33. https://doi.org/10.
1523/JNEUROSCI.3759-07.2007 PMID: 18160650
28. Ghose GM, Maunsell JHR. Attentional modulation in visual cortex depends on task timing. Nature
2002; 419:616–20. https://doi.org/10.1038/nature01057 PMID: 12374979
29. Sylvester CM, Jack AI, Corbetta M, Shulman GL. Anticipatory Suppression of Nonattended Locations in
Visual Cortex Marks Target Location and Predicts Perception. J Neurosci 2008; 28(26):6549–56.
https://doi.org/10.1523/JNEUROSCI.0275-08.2008 PMID: 18579728
30. Kastner S, DeWeerd P, Desimone R, Ungerleider LG. Mechanisms of directed attention in the human
extrastriate cortex as revealed by functional MRI. Science 1998; 282:108–11. PMID: 9756472
31. Sirotin YB, Das A. Anticipatory haemodynamic signals in sensory cortex not predicted by local neuronal
activity. Nature 2009; 457:475–9. https://doi.org/10.1038/nature07664 PMID: 19158795
32. Sirotin YB, Cardoso MMB, Lima BR, Das A. Spatial homogeneity and task-synchrony of the trial-related
hemodynamic signal. NeuroImage 2012; 59:2783–97. https://doi.org/10.1016/j.neuroimage.2011.10.
019 PMID: 22036678
33. Swallow KM, Makovski T, Jiang YV. Selection of events in time enhances activity throughout early
visual cortex. J Neurophysiol 2012; 108(12):3239–52. https://doi.org/10.1152/jn.00472.2012 PMID:
22993261
PLOS Biology | https://doi.org/10.1371/journal.pbio.3000080 April 19, 2019
31 / 34
Modulating task-related hemodynamics
34. Albers AM, Meindertsma T, Toni I, de Lange FP. Decoupling of BOLD amplitude and pattern classifica-
tion of orientation-selective activity in human visual cortex. NeuroImage 2017;pii: S1053-8119(17)
30794-2. https://doi.org/10.1016/j.neuroimage.2017.09.046 PMID: 28951159
35. Griffis JC, Elkhetali AS, Vaden RJ, Visscher KM. Distinct effects of trial-driven and task Set-related con-
trol in primary visual cortex. NeuroImage 2015; 120:285–97. https://doi.org/10.1016/j.neuroimage.
2015.07.005 PMID: 26163806
36. Sylvester CM, Shulman GL, Jack AI, Corbetta M. Anticipatory and Stimulus-Evoked Blood Oxygenation
Level-Dependent Modulations Related to Spatial Attention Reflect a Common Additive Signal. J Neu-
rosci 2009; 29(34):10671–82. https://doi.org/10.1523/JNEUROSCI.1141-09.2009 PMID: 19710319
37. Donner TH, Sagi D, Bonneh YS, Heeger DJ. Opposite Neural Signatures of Motion-Induced Blindness
in Human Dorsal and Ventral Visual Cortex. J Neurosci 2008; 28(41):10298–310. https://doi.org/10.
1523/JNEUROSCI.2371-08.2008 PMID: 18842889
38. Silver MA, Ress D, Heeger DJ. Neural correlates of sustained spatial attention in human early visual
cortex. J Neurophysiol 2007; 97:229–37. https://doi.org/10.1152/jn.00677.2006 PMID: 16971677
39. Offen S, Gardner JL, Schluppeck D, Heeger DJ. Differential roles for frontal eye fields (FEFs) and intra-
parietal sulcus (IPS) in visual working memory and visual attention. J Vis 2010; 10(11):28. https://doi.
org/10.1167/10.11.28 PMID: 20884523
40.
Liu T, Pestilli F, Carrasco M. Transient Attention Enhances Perceptual Performance and fMRI
Response in Human Visual Cortex. Neuron 2005; 45(3):469–77. https://doi.org/10.1016/j.neuron.2004.
12.039 PMID: 15694332
41. Pestilli F, Carrasco M, Heeger DJ, Gardner JL. Attentional enhancement via selection and pooling of
early sensory responses in human visual cortex. Neuron 2011; 72(5):832–46. https://doi.org/10.1016/j.
neuron.2011.09.025 PMID: 22153378
42. Bonhoeffer T, Grinvald A. Optical imaging based on intrinsic signals: The methodology. In: Toga AW,
Mazziotta JC, editors. Brain Mapping: The Methods. San Diego: Academic Press; 1996. p. 55–97.
43. Shtoyerman E, Arieli A, Slovin H, Vanzetta I, Grinvald A. Long-term optical imaging and spectroscopy
reveal mechanisms underlying the intrinsic signal and stability of cortical maps in V1 of behaving mon-
keys. J Neurosci 2000; 20(21):8111–21. PMID: 11050133
44. Cardoso MMB, Sirotin YB, Lima BR, Glushenkova E, Das A. The Neuroimaging Signal is a Linear Sum
of Neurally Distinct Stimulus- and Task-Related Components. Nat Neurosci 2012; 15(9):1298–306.
https://doi.org/10.1038/nn.3170 PMID: 22842146
45.
46.
Lima BR, Cardoso MMB, Sirotin YB, Das A. Stimulus-Related Neuroimaging in Task-Engaged Subjects
Is Best Predicted by Concurrent Spiking. J Neurosci 2014; 34(42):13878–91. https://doi.org/10.1523/
JNEUROSCI.1595-14.2014 PMID: 25319685
Tursky B, Shapiro D, Crider A, Kahneman D. Pupillary, heart rate, and skin resistance changes during a
mental task. J Exp Psych 1969; 79(1):164–7.
47. Pleger B, Blankenburg F, Ruff CC, Driver J, Dolan RJ. Reward Facilitates Tactile Judgments and Modu-
lates Hemodynamic Responses in Human Primary Somatosensory Cortex. J Neurosci 2008; 28
(33):8161–8. https://doi.org/10.1523/JNEUROSCI.1093-08.2008 PMID: 18701678
48. Oken BS, Salinsky MC, Elsas SM. Vigilance, alertness, or sustained attention: physiological basis and
measurement. Clin Neurophysiol 2006; 117(9):1885–901. https://doi.org/10.1016/j.clinph.2006.01.017
PMID: 16581292
49. Abe T, Nonomura T, Komada Y, Asaoka S, Sasai T, Ueno A, et al. Detecting deteriorated vigilance
using percentage of eyelid closure time during behavioral maintenance of wakefulness tests. Int J Psy-
chophysiol 2011; 82(3):269–74. https://doi.org/10.1016/j.ijpsycho.2011.09.012 PMID: 21978525
50. Esterman M, Noonan SK, Rosenberg MD, DeGutis J. In the zone or zoning out? Tracking behavioral
and neural fluctuations during sustained attention. Cereb Cortex 2013; 23(11):2712–23. https://doi.org/
10.1093/cercor/bhs261 PMID: 22941724
51. Malonek D, Grinvald A. Interactions Between Electrical Activity and Cortical Microcirculation Revealed
by Imaging Spectroscopy: Implications for Functional Brain Mapping. Science 1996; 272:551–4. PMID:
8614805
52.
Fukuda M, Moon C-H, Wang P, Kim S-G. Mapping iso-orientation columns by contrast agent-enhanced
functional magnetic resonance imaging: reproducibility, specificity, and evaluation by optical imaging of
intrinsic signal. J Neurosci 2006; 26(46):11821–32. https://doi.org/10.1523/JNEUROSCI.3098-06.2006
PMID: 17108155
53. Kennerley AJ, Berwick J, Martindale J, Johnston D, Zheng Y, Mayhew JEW. Refinement of optical
imaging spectroscopy algorithms using concurrent BOLD and CBV fMRI. NeuroImage 2009; 47
(4):1608–19. https://doi.org/10.1016/j.neuroimage.2009.05.092 PMID: 19505581
PLOS Biology | https://doi.org/10.1371/journal.pbio.3000080 April 19, 2019
32 / 34
Modulating task-related hemodynamics
54. Sirotin YB, Hillman EMC, Bordier C, Das A. Spatiotemporal precision and hemodynamic mechanism of
optical point-spreads in alert primates. Proc Natl Acad Sci USA 2009; 106(43):18390–5. https://doi.org/
10.1073/pnas.0905509106 PMID: 19828443
55. Herman MC, Cardoso MMB, Lima BR, Sirotin YB, Das A. Simultaneously estimating the task-related
and stimulus-evoked components of hemodynamic imaging measurements. Neurophotonics 2017; 4
(3):031223. https://doi.org/10.1117/1.NPh.4.3.031223 PMID: 28721355
56. Destexhe A, Contreras D, Steriade M. Spatiotemporal Analysis of Local Field Potentials and Unit Dis-
charges in Cat Cerebral Cortex during Natural Wake and Sleep States. J Neurosci 1999; 19(11):4595–
608. PMID: 10341257
57. Chang C, Leopold DA, Scho¨lvinck ML, Mandelkow H, Picchioni D, Liu X, et al. Tracking brain arousal
fluctuations with fMRI. Proc Natl Acad Sci U S A 2016; 113(16):4518–23. https://doi.org/10.1073/pnas.
1520613113 PMID: 27051064
58. Carrington MJ, Barbieri R, Colrain IM, Crowley KE, Kim Y, Trinder J. Changes in cardiovascular function
during the sleep onset period in young adults. J Appl Physiol 2005; 98(2):468–76. https://doi.org/10.
1152/japplphysiol.00702.2004 PMID: 15448124
59. Huo BX, Greene SE, Drew PJ. Venous cerebral blood volume increase during voluntary locomotion
reflects cardiovascular changes. NeuroImage 2015; 118:301–12. https://doi.org/10.1016/j.neuroimage.
2015.06.011 PMID: 26057593
60. Hubel DH. Single unit activity in striate cortex of unrestrained cats. J Physiol 1959; 147:226–38. PMID:
14403678
61. Dale AM. Optimal experimental design for event-related fMRI. Hum Brain Mapp 1999; 8:109–14. PMID:
10524601
62. Bergel A, Deffieux T, Demene´ C, Tanter M, Cohen I. Local hippocampal fast gamma rhythms precede
brain-wide hyperemic patterns during spontaneous rodent REM sleep. Nat Commun 2018; 9(1):5364.
https://doi.org/10.1038/s41467-018-07752-3 PMID: 30560939
63. Esterman M, Poole V, Liu G, DeGutis J. Modulating Reward Induces Differential Neurocognitive
Approaches to Sustained Attention. Cereb Cortex 2017; 27(8):4022–32. https://doi.org/10.1093/cercor/
bhw214 PMID: 27473320
64. Kleinschmidt A, Muller NG. The blind, the lame, and the poor signals of brain function—a comment on
Sirotin and Das (2009). NeuroImage 2010; 50(2):622–5. https://doi.org/10.1016/j.neuroimage.2009.12.
075 PMID: 20044008
65. Das A, Sirotin YB. What could underlie the trial-related signal? A response to the commentaries by Drs.
Kleinschmidt and Muller, and Drs. Handwerker and Bandettini. NeuroImage 2011; 55:1413–8. https://
doi.org/10.1016/j.neuroimage.2010.07.005 PMID: 20637876
66. Pisauro MA, Benucci A, Carandini M. Local and global contributions to hemodynamic activity in mouse
cortex. J Neurophysiol 2016, 115:2931–2936. https://doi.org/10.1152/jn.00125.2016 PMID: 26984421
67.
Lecrux C, Hamel E. Neuronal networks and mediators of cortical neurovascular coupling responses in
normal and altered brain states. Phil Trans R Soc Lond B 2016; 371:20150350.
68. Sato A, Sato Y, Uchida S. Activation of the intracerebral cholinergic nerve fibers originating in the basal
forebrain increases regional cerebral blood flow in the rat’s cortex and hippocampus. Neurosci Lett
2004; 361(1–3):90–3. https://doi.org/10.1016/j.neulet.2004.01.004 PMID: 15135901
69. Vaucher E, Hamel E. Cholinergic basal forebrain neurons project to cortical microvessels in the rat:
electron microscopic study with anterogradely transported Phaseolus vulgaris leucoagglutinin and cho-
line acetyltransferase immunocytochemistry. J Neurosci 1995; 15(11):7427–41. PMID: 7472495
70. Raichle ME, Hartman BK, Eichling JO, Sharpe LG. Central noradrenergic regulation of cerebral blood
flow and vascular permeability. Proc Natl Acad Sci USA 1975; 72(9):3726–30. PMID: 810805
71. Bekar LK, Wei SS, Nedergaard M. The Locus Coeruleus-Norepinephrine Network Optimizes Coupling
of Cerebral Blood Volume with Oxygen Demand. J Cereb Blood Flow Metab 2012; 32(12):2135–45.
https://doi.org/10.1038/jcbfm.2012.115 PMID: 22872230
72. Peppiatt CM, Howarth C, Mobbs P, Attwell D. Bidirectional control of CNS capillary diameter by peri-
cytes. Nature 2006; 443:700–9. https://doi.org/10.1038/nature05193 PMID: 17036005
73.
74.
Tan CO. Anticipatory Changes in Regional Cerebral Hemodynamics: A New Role for Dopamine? J
Neurophysiol 2009; 101:2738–40. https://doi.org/10.1152/jn.00141.2009 PMID: 19321643
Zhang F, Xu S, Iadecola C. Role of nitric oxide and acetylcholine in neocortical hyperemia elicited by
basal forebrain stimulation: evidence for an involvement of endothelial nitric oxide. Neuroscience 1995;
69(4):1195–204. PMID: 8848107
75. Choi J-K, Chen YI, Hamel E, Jenkins BG. Brain hemodynamic changes mediated by dopamine recep-
tors: Role of the cerebral microvasculature in dopamine-mediated neurovascular coupling. NeuroImage
2006; 30:700–12. https://doi.org/10.1016/j.neuroimage.2005.10.029 PMID: 16459104
PLOS Biology | https://doi.org/10.1371/journal.pbio.3000080 April 19, 2019
33 / 34
Modulating task-related hemodynamics
76. Krimer LS, Muly EC, Williams GV, Goldman-Rakic PS. Dopaminergic regulation of cerebral cortical
microcirculation. Nat Neurosci 1998; 1(4):286–9. https://doi.org/10.1038/1099 PMID: 10195161
77. Winder AT, Echagarruga C, Zhag Q, Drew PJ. Weak correlations between hemodynamic signals and
ongoing neural activity during the resting state. Nat Neurosci 2017; 20(12):1761–9. https://doi.org/10.
1038/s41593-017-0007-y PMID: 29184204
78. Drew PJ, Shih AY, Kleinfeld D. Fluctuating and sensory-induced vasodynamics in rodent cortex extend
arteriole capacity. Proc Natl Acad Sci USA 2011; 108(20):8473–8. https://doi.org/10.1073/pnas.
1100428108 PMID: 21536897
79. Matsuda K, Nagami T, Kawano K, Yamane S. A new system for measuring eye position on a personal
computer [abstract]. Abstracts, Society for Neuroscience 26, 744.2. 2000.
80. Arieli A, Grinvald A, Slovin H. Dural substitute for long-term imaging of cortical activity in behaving mon-
keys and its clinical implications. J Neurosci Methods 2002; 114:119–33. PMID: 11856563
81. Arieli A, Grinvald A. Optical imaging combined with targeted electrical recordings, microstimulation or
tracer injections. J Neurosci Methods 2002; 116:15–28. PMID: 12007980
82. Kohl M, Lindauer U, Royl G, Kuhl M, Gold L, Villringer A, et al. Physical model for the spectroscopic
analysis of cortical intrinsic optical signals. Phys Med Biol 2000; 45:3749–64. PMID: 11131197
83. Hillman EMC, Devor A, Bouchard MB, Dunn AK, Krauss GW, Skoch J, et al. Depth-resolved optical
imaging and microscopy of vascular compartment dynamics during somatosensory stimulation. Neuro-
Image 2007, 35:89–104. https://doi.org/10.1016/j.neuroimage.2006.11.032 PMID: 17222567
84. Kalatsky VA, Stryker MP. New paradigm for optical imaging: temporally encoded maps of intrinsic sig-
nals. Neuron 2003; 38:529–45. PMID: 12765606
85. Ratzlaff EH, Grinvald A. A tandem-lens epifluorescence macroscope: hundred-fold brightness advan-
tage for wide-field imaging. J Neurosci Methods 1991; 36:127–37. PMID: 1905769
86. Madsen MT. A simplified formulation of the gamma variate function. Phys Med Biol 1992; 37(7):1597.
87. Cohen MS. Parametric Analysis of fMRI Data Using Linear Systems Methods. NeuroImage 1997; 6:93–
103. https://doi.org/10.1006/nimg.1997.0278 PMID: 9299383
88.
Tada H, Omori Y, Hirokawa Y, Hirokawa K, Ohira H, Tomonaga M. Eye-Blink Behaviors in 71 Species
of Primates. PLoS ONE 2013; 8(5):e66018. https://doi.org/10.1371/journal.pone.0066018 PMID:
23741522
89. Guipponi O, Odouard S, Pinède S, Wardak C, Ben Hamed S. fMRI Cortical Correlates of Spontaneous
Eye Blinks in the Nonhuman Primate. Cereb Cortex 2015; 25(9):2333–45. https://doi.org/10.1093/
cercor/bhu038 PMID: 24654257
PLOS Biology | https://doi.org/10.1371/journal.pbio.3000080 April 19, 2019
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10.1021_acssynbio.1c00142.pdf
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pubs.acs.org/synthbio
Research Article
Sequence Preference and Initiator Promiscuity for De Novo DNA
Synthesis by Terminal Deoxynucleotidyl Transferase
Erika Schaudy, Jory Lietard, and Mark M. Somoza*
Cite This: ACS Synth. Biol. 2021, 10, 1750−1760
Read Online
ACCESS
Metrics & More
Article Recommendations
*sı Supporting Information
ABSTRACT: The untemplated activity of terminal deoxynucleotidyl
transferase (TdT) represents its most appealing feature. Its use is well
established in applications aiming for extension of a DNA initiator
strand, but a more recent focus points to its potential in enzymatic de
novo synthesis of DNA. Whereas its low substrate specificity for
nucleoside triphosphates has been studied extensively, here we
interrogate how the activity of TdT is modulated by the nature of
length, chemistry, and
the initiating strands,
in particular
nucleotide composition. Investigation of full permutational
libraries
of mono- to pentamers of D-DNA, L-DNA, and 2′O-methyl-RNA of
differing directionality immobilized to glass surfaces, and generated via
the efficiency of
photolithographic in situ synthesis, shows that
extension strongly depends on the nucleobase sequence. We also show
TdT being catalytically active on a non-nucleosidic substrate,
hexaethylene glycol. These results offer new perspectives on constraints and strategies for de novo synthesis of DNA using TdT
regarding the requirements for initiation of enzymatic generation of DNA.
KEYWORDS: TdT polymerase, microarray, synthetic biology, L-DNA, enzymatic DNA synthesis, photolithographic synthesis
their
T erminal deoxynucleotidyl transferase (TdT) is a member
of the polX family of DNA polymerases first purified from
calf thymus glands.1,2 In contrast to template-dependent DNA
polymerases, TdT extends DNA strands at their 3′ hydroxy
terminus in the presence of divalent cation cofactors3 and
deoxynucleoside triphosphates (dNTPs), but in the absence of
a template strand. This activity is of major importance in the
diversification of immunoglobulins and T cell receptors in the
process of V(D)J recombination of the adaptive immune
system via random addition of nucleotides to nicked DNA
strands.4,5 TdT’s unique ability to mediate template-
independent polymerization has made it a valuable tool in a
variety of molecular biology applications including finding
strand breaks,6 modifying DNA oligomers with various NTPs,7
and identifying DNA damage and epigenetic modifications.8
Furthermore, the enzyme has proven useful for the generation
of polynucleotides of high molecular weight9 and amphiphilic
structures upon extension with BODIPY-dUTP,10
for
detection of DNA and RNA on surfaces,11,12 and immobiliza-
tion of DNA on solid supports.13 In the context of synthetic
biology, template-independent DNA polymerization by TdT
is, along with enzyme-based approaches,14 a promising
alternative to chemical synthesis as many of the shortcomings
of the phosphoramidite approach can be potentially avoided.
In particular, coupling failures and depurination during the
deblocking step limit chemical
to about 200
nucleotides. The atom economy of phosphoramidite synthesis
synthesis
of DNA is also very poor, producing an approximately 1000-
fold excess of chemical waste. Since polymerases work in
aqueous solutions and are capable of fast and high-fidelity
synthesis of almost arbitrary length, they promise a greener and
far more efficient approach to DNA synthesis. Beyond
genomics and biotechnological applications, DNA is an
attractive medium for archiving digital
information since it
can achieve a storage density of hundreds of petabytes per
gram,15 and data can be reliably recovered after being stored
for thousands of years.16 Useful DNA data storage may depend
on successful
implementation of enzymatic synthesis since
even high throughput chemical approaches are economically
uncompetitive with,
storage
technologies.17
e.g., magnetic or optical
Several recent publications have addressed sequence control
in TdT-based enzymatic synthesis. In the context of digital
information storage, a looser definition of sequence control can
be tolerated, allowing dNTP degradation with apyrase to limit
TdT-catalyzed extension to a controlled series of short
Received: April 6, 2021
Published: June 22, 2021
© 2021 The Authors. Published by
American Chemical Society
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homopolymers.18 Precise sequence control has been achieved
using photocleavable TdT-dNTP conjugates,19,20 3′ photoc-
aged dNTPs,21 and through the controlled release of divalent
ion cofactors from photosensitive chelators.22,23 While it is too
soon to tell which approach to sequence-controlled de novo
DNA synthesis will be optimal, here we explore another factor
critical to practical and efficient enzymatic synthesis with TdT,
its initiator preferences. Experiments demonstrating TdT-
based synthesis have used relatively long primer DNA
oligonucleotides20 to 60mersas starting substrates, an
impractically large number since these are made chemically
and remain attached.18,20,21,23
In the phosphoramidite
chemistry approach it is standard practice to start with one
of four solid-phase columns preloaded with the first DNA
nucleoside of the desired sequence. Such an approach might
also be feasible in enzymatic synthesis if the initiator sequence
length can be limited to one or two nucleotides, resulting
respectively in 4 or 16 starting sequences or columns. This
seems possible since very early research on TdT suggests a
lower limit in length of the initiating DNA strand of at least 3
nt24 or as low as 2 nt.25 At the same time, we should ask
whether some sequences are extended more efficiently than
others, as this affects not just the initiation, but potentially each
subsequent cycle of the synthesis.
for
A related question is whether TdT is able to extend initiator
molecules other than the 3′
terminus of DNA, enabling
enzymatic synthesis of chimeric nucleic acid sequences, DNA/
RNA hybrids, or even conjugates where an unnatural initiator
is extended with dNTPs or rNTPs. Regarding the differences
in efficiency in the use of dNTPs and rNTPs, there appears to
be limited ability for extension of DNA initiator strands with
ribonucleotides.26,27 Furthermore, TdT was found to catalyze
the extension of oligonucleotide strands with a variety of
modified nucleoside triphosphates,
instance biotiny-
lated,11,28,29 fluorescence-tagged,30 photo-cross-linkable31 or
light-cleavable21 dNTPs and non-nucleosidic substrates,32 as
well as fluorescent nucleobase analogues33 and metal base-
pairs,34 showing rather low substrate specificity in contrast to
other DNA polymerases, which could be further loosened by
protein engineering efforts.35 An investigation of nucleoside
triphosphate analogues,
including arabinonucleosides and
acyclic triphosphates of acyclovir and penciclovir, and their
L- and D-stereoisomers showed that the stereochemistry of the
triphosphates had a profound effect on substrate recognition
by TdT.36 Whereas nucleoside triphosphate substrate specific-
ity is rather flexible, DNA analogues in the initiating strand
seem to hamper extension, for instance upon replacement of
natural DNA nucleotides at the 3′ terminus with L-DNA,37 or
when using RNA initiator strands.38,39
Herein, we report on the ability of TdT to extend ssDNA
initiators between 1 and 5 nt in length and immobilized on a
glass surface, as well as other nucleosidic and non-nucleosidic
primers. Our
the enzymatic
results, which encompass
extension of all 1364 possible sequence permutations of
mono- up to pentamers for each of several nucleic acid
chemistries, are based on the use of nucleic acid photo-
lithography for the massively parallel synthesis of
initiator
strands on a common surface.40 We have recently expanded
the toolbox of light-sensitive DNA phosphoramidites used in
photolithographic synthesis beyond the standard 3′ → 5′
(“forward”) direction,41 and we are using this chemical
diversity to investigate the activity of the TdT polymerase on
from DNA oligonucleotides with
a variety of
initiators,
accessible 3′ or 5′-OH groups (from “reverse” or “forward”
DNA synthesis, respectively), to RNA-like nucleic acids with
2′O-methyl RNA (2′OMe-RNA), to mirror-image (L-)DNA
primer strands with a terminal 5′-OH. We also examined the
potential of non-nucleosidic molecules to act as initiators for
TdT-mediated enzymatic synthesis by preparing polymers of
hexaethylene glycol (HEG) linkers. Surprisingly, with the
exception of 5′-OH D-DNA, all tested substrates were able to
support some level of enzymatic extension, but with 3′ hydroxy
terminated DNA clearly the optimal initiator. The extension
efficiency of 3′ hydroxy terminated ssDNA by TdT is also
strongly sequence dependent, with a factor of 3 efficiency
difference between the best and worse pentamer initiator
sequences.
■ MATERIALS AND METHODS
Approach. In order to investigate the ability of TdT to
extend terminal hydroxy groups of different nucleic acid
chemistries, multiple replicates of each oligonucleotide strand
were synthesized on the same array, each present in two
versions: one where the final light-sensitive protecting group
was removed at the end of the synthesis, exposing an accessible
hydroxy group, whereas in the other version, the terminal
hydroxy group was capped with a DMTr-dT phosphorami-
dite.42 We have previously measured the coupling efficiency of
most non-RNA phosphoramidites for light-directed synthesis
to be ∼99.9%, including DMTr-dT in its role as capping agent;
G being the exception at 97−98%.41,43−46 After synthesis and
deprotection,
the surface-bound oligonucleotides serve as
initiator sequences for dT homopolymer extension with TdT
polymerase. The efficiency of polymerization was evaluated by
hybridization to the extension product. Absolute fluorescent
signal intensities of the capped and uncapped versions present
on a single surface were compared in order to evaluate the
ability of TdT to extend short oligonucleotide strands of
differing chemistry and nucleotide composition. In order to
allow investigation of all different monomers as initiators, and
to distance the terminal hydroxy group from the glass surface,
the synthesis was started with coupling of a hexaethylene glycol
phosphoramidite as linker in an initial synthesis cycle.
to the glass
Photolithographic in Situ Synthesis. The detailed
procedure for photolithographic in situ synthesis has already
been described elsewhere.47,48 Briefly, microscopy glass slides
(Schott NEXTERION glass D) were functionalized with a 2%
N-(3-triethoxysilylpropyl)-4-hydroxybutyramide (95%; abcr)
solution in ethanol/water/acetic acid (95:5:0.1), washed, and
cured at 120 °C under a vacuum for 2 h. An Expedite 8909
nucleic acid synthesizer was used to deliver reagents for
substrate. Anhydrous acetonitrile
synthesis
(Biosolve) and DCI activator (Sigma-Aldrich, L032000)
were maintained dry under molecular sieves (Sigma-Aldrich,
Z509027). The exposure solvent consisted of 1% imidazole
(Sigma-Aldrich, 56750) in anhydrous DMSO (Biosolve). The
oxidizer was 20 mM I2 in H2O/pyridine/THF (Sigma-Aldrich
L060060). Cyanoethyl phosphoramidites were used as 0.03 M
solutions in dry acetonitrile and obtained from Orgentis (5′-
BzNPPOC D-DNA, 3′-BzNPPOC D-DNA), ChemGenes (5′-
NPPOC L-DNA; 3′-NPPOC 2′OMe-RNA; NPPOC-hexa-
ethylene glycol), and LINK (DMTr-dT). Phosphoramidite
purity and 3′ phosphitylation selectivity was verified by 31P and
2D 1H−31P NMR. Coupling times varied depending on the
type of phosphoramidite, between 15 s (D-DNA), 60 s (L-DNA
and 2′OMe-RNA), 120 s (DMTr-dT), and 300 s (hexa-
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ethylene glycol). After
synthesis, cyanoethyl and base
protecting groups were removed by treating the array with
ethylenediamine/ethanol (1:1) for either 2 or 15 h (3′-
BzNPPOC D-DNA, NPPOC-hexaethylene glycol).
An optical system, focusing UV light from a 365 nm high-
power UV-LED source (Nichia NVSU333A)49 onto a digital
micromirror device (Texas Instruments 0.7 XGA DMD) with
1024 × 768 individually addressable micromirrors, and via an
Offner optical relay, further onto a functionalized glass slide,
allows
the photosensitive
protecting groups according to a set of digital masks generated
by a MATLAB program.
spatially resolved removal of
Synthesis Design. Oligonucleotide microarrays used in
this study are based on the same layout and design. Using the
full 1024 × 768 synthesis space, a 9:25 layout (blocks of 3 × 3
synthesis pixels surrounded by 2 pixel-wide unused margins)
allowed for photolithographic synthesis of 31 008 individual
sequences in parallel. The full permutation library of 1 to 5 nt
length was synthesized with both free and capped terminal
hydroxy groups. A 25mer (“QC25”: 5′-GTCATCATCATG-
AACCACCCTGGTC-3′) was synthesized in parallel in order
the synthesis quality via a
to allow for evaluation of
standardized hybridization. Furthermore, synthesis of T or U
18mers enabled the hybridization efficiency to be assessed
during the detection of enzymatically generated dT homopol-
ymers. All strands were grown on a single hexaethylene glycol
(HEG) moiety as a non-nucleotide linker. Distribution of the
sequencesand all replicates of individual sequenceson the
array surface was randomized in order to compensate for any
spatial effects possibly occurring upon reaction and/or
hybridization. The microarrays for the investigation of non-
nucleotide initiator strands were synthesized using only HEG
phosphoramidites in order to obtain strands of up to nine
HEG units in length, both with accessible and blocked termini.
Extension and Detection. After removal of cyanoethyl
and nucleobase protecting groups, extension reactions were
performed with a mix of 0.2 u/μL calf thymus TdT (NEB
M0315; 20 u/μL stock) and 100 μM dTTP (Carl Roth; 100
mM stock) in 1× TdT buffer (NEB; 50 mM potassium acetate,
20 mM tris-acetate, 10 mM magnesium acetate, pH 7.9 at 25
°C) supplemented with 0.25 mM CoCl2 (NEB; 2.5 mM stock)
at 37 °C in a hybridization oven with rotation for 120 min in
an adhesive chamber (Grace Biolabs). After incubation, the
reaction mix was removed from the hybridization chamber and
the array rinsed briefly by pipetting in and out nonstringent
washing buffer (NSWB) (6× SSPE, 0.01% Tween-20),
followed by a short wash (ca. 10 s) of the entire slide in
final washing buffer (FWB) (0.1× SSC) and drying in a
microarray centrifuge. A hybridization solution containing
probe rA18-Cy3 (IDT; 5′-Cy3-GDDDD(rA)18-3′; with D
being either A,G,T; 90 nM) and acetylated BSA (Promega;
0.44 mg/mL) in 1× MES buffer (100 mM MES, 1 M Na+, 20
mM EDTA, 0.01% Tween-20) was applied to the array surface
for incubation at 4 °C without rotation for 120 min. Stringency
washes were performed by washing the slide for 2 min in
NSWB, 1 min in stringent washing buffer (SWB) (100 mM
MES, 0.1 M Na+, 0.01% Tween-20) and 10 s in FWB at 4 °C.
After drying, the slides were scanned at 532 nm at a resolution
of 5 μm using a GenePix Personal 4100A scanner.
Data Analysis. The Cy3 fluorescent signal
intensities
observed upon hybridization to the enzymatically generated
homopolymer served as a measure of successful extension of
initiator strands. Alignment of the scans with the underlying
design using NimbleScan 2.1.68 (NimbleGen) allowed for data
extraction for each individual feature. The data were analyzed
using Microsoft Excel. Fluorescent signal intensities observed
on features with blocked termini were treated as background
noise and subtracted from the signal measured for the version
with an accessible terminal hydroxy group. Sequence logos
were created using WebLogo (weblogo.berkeley.edu).50
■ RESULTS AND DISCUSSION
The ability of TdT to extend all possible mono- to pentamers
of nucleotide chains with differing sugar chemistries was
investigated via hybridization to the product of extension. This
setup allowed not only for a comparison of the extension
efficiency of different chemistries, but also for the identification
of preferences in nucleotide composition as well as the minimal
length still allowing for enzymatic polymerization. Besides
nucleic acid pentamers, we also prepared polymers of
hexaethylene glycol (HEG) containing up to nine units. Due
to the uncontrolled mode of action of TdT randomly adding
nucleoside triphosphates to the growing chain, we restricted
our study to only dTTP as a substrate in order to generate poly
dT strands detectable in a hybridization-based assay with a
fluorescently labeled complementary rA18 probe, as shown in
Figure 1. Synthesis only using a single type of dNTP allows us
to isolate the impact of the initiating sequence on extension
efficiency from biases in the incorporation of dNTPs that have
been observed in vivo51 and in vitro.19,24
The analysis of fluorescent signal intensities measured upon
hybridization to the enzymatic reaction products allowed for
extension efficiencies to be compared. Figure 2 shows the
intensities observed for the extension of
range of signal
initiators of differing nucleic acid chemistries, with lowest and
highest fluorescent
intensities detected and after
background subtraction (sequences with blocked terminal
the threshold to evaluate TdT’s
hydroxy group). We set
general ability to extend an initiator as the average of signal
intensities for blocked sequences plus three times their
standard deviation.
D-DNA 3′-OH Extension. With the cognate substrate of
TdT being single-stranded DNA with a 3′-OH terminus, we
expected the highest extension efficiency for this substrate.
Indeed, signal intensities plotted in Figure 2 clearly show 3′-
terminated D-DNA as the favored substrate of all five different
chemistries. Focusing on the left panel of Figure 2,
the
extension reaction efficiency increases with the length of the
initiating strands. However, there is also a clear dependence on
the nucleotide composition, to the extent that some sequences
of longer oligonucleotides can be less efficient initiators than
the shortest.
signal
Investigation of the full permutation library allowed us to
identify which nucleotide sequences are preferentially ex-
tended. Figure 3a provides an overview of the trends of
initiating sequences yielding the 10% highest (left, framed in
framed in red) extension
green) and lowest (right panel,
efficiency. Consensus sequence logos illustrate these trends.
While the nucleobase sequence is less relevant for mono- and
dimers, for tetra- and pentamers extension is least efficient in
the case of a deoxycytidine in the 3′ terminal position, with the
lowest signal detected for the sequences TAGAC and GATC
(all sequences 5′ → 3′). In the case of trimers, the two isolated
data points at the top end of the range correspond to the
sequences GGG and CGG, emphasizing the preference for G
in the terminal positions of efficient initiators of this length.
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Figure 2. Fluorescent signal intensities after background subtraction
for five different types of initiating strands. The structure of the
corresponding dimer (monomer for HEG),
immobilized to the
surface is illustrated. For each type and length of oligonucleotide
strands, the 0th, 25th, 75th, and 100th intensity percentiles are shown,
based on all possible 4n data points for each initiator strand of length
n. Hexaethylene glycol n-mers are plotted with dots. The greyed-out
insert for 5′-OH D-DNA, 5′-OH L-DNA, and HEG shows this lower
range of signal intensity in more detail.
The two data points at the low end of the sigmoidal curve
represent results for ACC and TGC, with the corresponding
consensus sequence again clearly showing that a terminal C is
not favored for extension. Investigation of the effect of strand
length is shown in Figure 3b, where the average signal intensity
of all sequences of a specific length are normalized to the
average signal
Independent of
intensity of monomers.
nucleotide composition, the results show that the efficiency
initiation increases with strand length, with pentamers
of
facilitatingon average2.2× higher
initiation efficiency
compared to monomers. Applying a second order polynomial
fit as guide suggests elongation efficiency asymptotically
approaches a maximum, hinting that
increasing initiating
strand length further may not significantly improve average
efficiency. Still, the wide range of signal intensities detected for
each length emphasizes even more the impact of nucleotide
composition.
2′OMe-RNA 3′-OH Extension. Investigation of enzymatic
extension of short strands of 2′OMe-RNA with a terminal 3′
hydroxy group synthesized on the surface clearly shows that
TdT is able to use it as a substrate, albeit at lower efficiency
than its D-DNA counterpart. In comparison to 3′-OH D-DNA,
TdT exhibits distinct preferences for sequence composition in
2′OMe-RNA initiator strands, as shown in Figure 4a. Indeed,
the nucleobase in the terminal position of the strand and the
impact on the efficiency of
adjacent one have a major
extension, with adenine and cytidine nucleotides being favored
in the terminal position when next to adenine or guanosine
nucleotides. In contrast, both guanosine and uracil nucleotides
at the 3′ terminus have a negative impact on the efficiency of
strand extension. Of note, we found that extension of a 2′OMe
uracil nucleotide is disfavored in almost all cases, including for
mono- and dinucleotides. Comparison of the efficiency of
initiation based on strand length shows a significant leap from
monomers to pentamers (Figure 4b). The second order
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Figure 1. Schematic representation of the experimental design and
assays. (1) Two variants of all possible permutations of mono- to
pentamers, either with accessible terminal hydroxy group (OH) or
with DMTr-blocked terminus (×), were synthesized on a glass slide
via photolithography. (2) The immobilized initiator strands were then
extended enzymatically by TdT using dTTP as substrate, generating
dT homopolymers. (3) Poly dT strands were detected via
hybridization with a Cy3 labeled complementary probe. (4) Scanning
of the microarray allows for fluorescent signal intensities at different
positions to be assigned to specific sequences. The scan to the left
corresponds to 2.4% of the total synthesis area (scale bar 300 μm). In
more detail, the close-up of 16 features (scale bar 100 μm) and the
corresponding layout beneath are shown with a grid next to it,
indicating the sequences synthesized at specific positions. Features
with blocked termini (×) exhibit much lower fluorescence signal
intensity than those with strands accessible for extension. TdT model
adapted from PDB: 1JMS.
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Figure 3. Analysis of extension of 3′-OH D-DNA initiating strands.
(a) Fluorescent signal intensities were normalized to the maximum
and clustered according to length, with representative SEM error bars.
Panels to the left illustrate sequence patterns (5′ → 3′ direction) from
the data for the 10% highest signal
intensities framed in green,
whereas panels to the right show the data for the 10% lowest signal
intensities for penta-, tetra-, and trimers (top to bottom) framed in
red. Data for pentamers are repeated in gray in the subsequent plots
for comparison. For monomers and dimers, data are plotted from
highest to lowest signal intensity with the corresponding sequence
specified by the labeling of the top and bottom x-axis for dimers and
monomers, respectively. Next to this plot, the chemical structure of a
dimer
immobilized to the glass surface serves as a guide for
straightforward identification of differences between the chemical
variants tested for initiation in this and subsequent figures. (b)
Fluorescent signal
intensities normalized to the average of all
monomers and clustered according to strand length. Averages for
each strand length are indicated by an “×”. The dotted second order
polynomial fit through the averages serves as a visual guide.
polynomial fit to the average signal of all sequences of a specific
length levels off for tetramers and pentamers, suggesting a
close-to-maximum efficiency already for initiating strands with
five nucleotides in length. In comparison to the D-DNA (3′-
OH) substrate, the position of the average signal
intensity
relative to the range of signal observed for longer initiators is
striking. The distribution of data points clearly indicates that
most of the sequences are being extended with low efficiency,
keeping the average efficiency of initiation of pentamers at a
level of approximately 4× compared to monomers, whereas
some outstanding variants even show initiating efficiencies of
more than 10× that of monomers.
D-DNA 5′-OH Extension. In order to investigate if 5′-OH
DNA extension is possible, the TdT reaction mix was applied
to a microarray populated only with D-DNA tethered to the
surface at the 3′ end and with a terminal 5′-OH. In this case,
only very low fluorescent signal intensities were detected (see
Figure 4. Extension analysis of 2′OMe-RNA initiating strands with
terminal 3′-OH. (a) Fluorescent signal intensities were normalized to
the maximum signal detected and clustered according to their length,
with representative error bars corresponding to 2× SEM for better
visibility. Panels to the left illustrate sequence patterns (5′ → 3′)
emerging from the data for the 10% highest signal intensities (framed
in green), whereas panels to the right show the data for the 10%
lowest signal intensities framed in red. Data for pentamers are also
shown in the following plots for comparison, pointing to the similarity
in shape between graphs for differing strand lengths. For monomers
and dimers, data are plotted from highest to lowest signal intensity
with the corresponding sequence specified on the labeling of the top
and bottom x-axis for dimers and monomers, respectively. Next to this
plot, the chemical structure of a dimer immobilized to the glass
surface serves as a guide for identification of differences between the
chemical variants
initiation. (b) Fluorescent signal
intensities normalized to the average of all monomers and clustered
according to strand length. Averages for each strand length are
indicated by “×”. A polynomial fit through the averages serves as a
visual guide.
tested for
Figure 2). The average values for all sequence permutations
and for lengths between monomers and pentamers were below
the limits of detection (determined using the data for DMTr-
capped strands as unextendable controls),
indicating that
strands of D-DNA with terminal 5′ hydroxy group are not
suitable substrates for extension with TdT.
L-DNA 5′-OH Extension. Our recent report establishing
photolithographic in situ synthesis for mirror-image DNA (L-
DNA)46 motivated us to investigate the activity of TdT on this
non-natural substrate. Surprisingly, we indeed were able to
lower than for 3′-OH
detect significant extension, albeit
terminated D-DNA (Figure 2). The sigmoidal curves generated
to show the distribution of fluorescent signal
in order
intensities among all sequence permutations of equal length
in Figure 5a cover a considerable range, indicating that the
sequence of the initiating strand has a critical impact on the
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intensity. Comparing the average signal
intensities for each
initiator length with one another in Figure 5b once again
emphasizes the significant increase in the efficiency of initiation
with strand length. A second order polynomial fit to the
average serves as a visual guide and suggests a maximum
efficiency of initiation for strands approximately five nucleo-
tides in length. On average, signal intensities for pentamers are
4.3× higher than for monomers. However, a few isolated data
points at the top end of the range show that the efficiency of
initiation is strongly influenced by the L-DNA sequence, as
initiating efficiencies for individual pentamers can be up to 20×
higher than for the monomer average.
Hexaethylene Glycol Extension. In order to assess the
ability of TdT to act on primary hydroxy groups of non-
nucleosidic substrates, microarrays with strands of hexa-
ethylene glycol (molecular structure shown in Figure 6a),
Figure 5. Analysis of 5′-OH L-DNA strand extension data. (a)
Fluorescent signal intensities were normalized to the maximum and
grouped by length, with representative error bars corresponding to 2×
SEM for better visibility. Panels framed in green illustrate sequence
patterns for the 10% highest signal intensities, whereas panels framed
in red show the data for the 10% lowest. Pentamer data are repeated
in subsequent plots for comparison, pointing to the similarity in shape
between graphs for differing strand lengths. For monomers and
dimers, data are plotted from highest to lowest signal intensity with
the corresponding sequence specified on the labeling of the top and
bottom x-axis for dimers and monomers, respectively. Next to this
plot, the chemical structure of a dimer on the glass surface serves as a
guide for identification of differences between the chemical variants
tested for initiation. (b) Fluorescent signal intensities normalized to
the average of all monomers and clustered according to strand length.
Averages for each strand length are indicated by “×”. The dotted line
is a second order polynomial fit through the averages.
efficiency of extension. Analysis of nucleotide composition of
the L-DNA initiator strands unambiguously shows a strong
preference for L-dT at both the 5′-OH terminus and at the
adjacent position for TdT extension for all initiator lengths
investigated. In contrast, the identities of nucleotides more
from the site of extension are mostly irrelevant.
distant
Interestingly, poorly extended substrates fall
into the same
low fluorescence regardless of primer length, as
range of
indicated by overlapping the greyed-out curve for pentamers
with data points of tetramers and trimers. Whereas short
strands do not allow for considerable extension, with signal
intensities for monomers on average being hardly above the
limit of detection, thymine is the favored nucleobase even in
this context. Exceptionally high signal intensities compared to
other sequences of the same length were measured for the
pentamers TTAAA, TTAAG, and TTAAT,
the tetramers
TTAA and TTAT, and the trimers TTT, TTC, and TTA (all
5′ → 3′), as illustrated by their prominent positions as
individually discernible data points at maximum signal
Figure 6. Extension of hexaethylene glycol strands. (a) Molecular
structure of a single HEG unit. (b) Fluorescent signal intensities,
normalized to maximum signal detected for dimers, show a decreasing
trend with increasing number of HEG units in the initiating strand
(error bar representative for SEM).
ranging from one to nine units in length, were synthesized.
these initiator strands were extended by the
Surprisingly,
enzyme, with fluorescence signals clearly above the LOD and
in the same range as for 2′OMe-RNA and L-DNA (Figure 2).
Investigating the dependence of fluorescent signal intensities as
a function of initiating strand length hints at shorter strands
being extended more efficiently than longer ones (Figure 6b).
DNA extension with TdT has been studied for over 60
years, but surprisingly few specific details have been established
regarding the initiator preferences of this unique polymerase.
Particularly in the context of de novo DNA synthesis, these
preferences are crucial to developing a practical and efficient
approach competitive with phosphoramidite chemistry. Recent
efforts in this field have used initiator strands 20 to 60 nt in
length and of heterogeneous nucleobase composition.
Although earlier research has shown that short TdT initiators
are also functional, a lack of information on the initiator length
dependence for TdT polymerization efficiency may have
contributed to the choice of very long initiators. The crystal
structure of murine TdT indicates that only three nucleotides
at the 3′-hydroxy end are ordered within the polymerase,
whereas additional ones are outside the polymerase and
disordered.52 This along with the 3 nt minimum initiator
length indicated by Kato et al.24 suggests that any benefit to
longer initiators would be due to more indirect mechanisms
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such as 1D diffusion along the strand facilitating the
localization of TdT to the 3′-hydroxy end. While 1D diffusion
along DNA has been identified for the T7 RNA polymerase,53
there is no evidence of a similar process for DNA polymerases
in the absence of accessory sliding clamp factors.54 Although
our data only extends to pentamers,
it clearly shows that
initiators longer than about 5 nt are unlikely to significantly
enhance TdT polymerization efficiency. This is true for TdT’s
natural substrate, 3′-hydroxy terminated DNA, for which we
observe polymerization efficiency flattening beyond an initiator
length of 4 nt (Figure 3b), as well as for the non-natural
substrates 2′OMe-RNA and 5′-hydroxy terminated L-DNA
(Figures 4b and 5b). On the short end of initiator length, we
were able to observe significant polymerization for both
monomers and dimers. This observation stands in contrast to
the 3 nt lower limit of Kato et al. However, in our experiments
these short DNA strands are linked to relatively long
hexaethylene glycol strands, which themselves can function
as initiator strands.
For 2′OMe-RNA, lower efficiencies of TdT extension were
expected considering earlier reports of RNA primers not being
extended, neither with dNTPs nor with rNTPs.38 Extension of
a DNA primer with rNTPs showed an upper limit of 3−4
added nucleotides,26 leading to the hypothesis that the enzyme
stops extension as soon as the initiator strand transitions from
DNA to RNA. Comparing these reports with our own results,
we observe that methylated RNA analogues can indeed be
extended. Since a minimum extension length of seven dT
nucleotides are necessary to provide a detectable hybridization
signal with the rA18-Cy3 probe, our data show that
the
initiating strand must have been extended by at least seven dT
nucleotides. Considering the additional steric hindrance from
the 2′-methyl compared to unmodified RNA, the extension of
2′OMe-RNA with bulkier methyl groups suggests a more
complex gating mechanism. Since 2′OMe-RNA, HEG, and L-
initiating strands,
DNA are functional, albeit
whereas 5′-OH extension of D-DNA does not occur, the
results suggest that TdT has evolved to exclude this last
substrate rather than to be highly specific for 3′-OH DNA
extension.
inefficient
Regarding the activity of TdT on mirror-image DNA
substrates, only a few reports exist. Already in 1995, Focher
et al.55 demonstrated the ability of calf
thymus terminal
transferase to extend a dT20 primer of D-DNA (with a blocked
5′ terminus) upon addition of L-dTTP. However, extension
stopped after 1−2 nt, indicating that this short stretch of L-
DNA with a terminal 3′-OH is not a functional
initiator.
Another study on the extension of a D-DNA primer with a
single L-dT incorporation at the 3′ end showed the extension
using D-dNTPs is aborted after 1−2 nt. The authors speculated
that a distortion of orientation initiated by presence of the L-
nucleotide could result in termination of extension.37 However,
all these investigations focus on extension of oligonucleotides
with a terminal 3′ hydroxy group in solution. In contrast, the
present study used L-DNA phosphoramidites in 3′ → 5′
synthesis direction using pure 5′-NPPOC 3′-L phosphorami-
dites, resulting in strands immobilized to the surface and with
an accessible terminal 5′ hydroxy group. In this context,
comparing the results with those for the corresponding 5′-OH
D-DNA initiator strands is especially surprising. As shown in
the inset in Figure 2, signal intensities for hybridization after
applying TdT to L-DNA initiator strands were significantly
higher relative to the corresponding 5′-OH D-DNA initiators,
which were simply not extended at all, also indicating the
absence of D-DNA contamination in the L-DNA building
blocks. We surmise that the structural differences between D-
and L-DNA play a role in the mirror-image form acting as a
potential substrate. The left-handed conformation of L-DNA
prevents not only hybridization to D-DNA, but also interaction
with L-enzymes in the active center.56,57 Since the structure of
D-DNA oligonucleotides with a 5′ terminal hydroxy group did
not prove suitable as a substrate for extension, the conforma-
tional change to its mirror-image pendant seems to represent
the variation required to fit the active center of the polymerase
and allow for strand extension, albeit with much lower
efficiency than at the 3′-OH of D-DNA substrates. Interaction
of mirror-image DNA oligonucleotides with a natural DNA
polymerase has been reported recently, however, with a
substantial difference in location of the binding site compared
to D-DNA.58 To the best of our knowledge, this is the first
report of a native DNA polymerase in L-conformation showing
cross-chiral activity via catalysis of a reaction on a mirror-image
DNA substrate,
thereby generating chimeric L-/D-DNA
strands. TdT was found to preferentially extend L-DNA
strands featuring a thymidine residue at the 5′ terminus, and
efficiency of initiation was enhanced considerably compared to
extension of monomers by increasing the length of strands with
one or more terminal T nucleotides. Given the enhanced
intracellular stability of mirror-image oligonucleotides,59 their
potential as drug delivery vehicles in the form of micelles
generated via TdT-mediated extension of L-DNA aptamers is
an alluring prospect.10
That TdT can elongate even short initiator sequences is of
major importance for enzymatic de novo synthesis of DNA
since any initiator must be either removed after synthesis or
chosen to match the 5′ end of
the desired sequence.
Presumably, any initiator must be synthesized chemically,
negating many benefits of enzymatic synthesis, at least for
longer initiators. Fortunately, short initiators work reasonably
well, such that in the manner of current solid phase synthesis of
DNA, synthesis columns preloaded with the first 5′ nucleoside
on a long and cleavable linker could be used. The elongation
efficiency of monomers is about a third of that of pentamers,
thus requiring longer initial cycles until a more optimal length
is reached. The extension of non-natural
initiators such as
HEG and L-DNA by TdT could also be used as a workaround;
even retained as a 5′ extension to the desired DNA sequence,
these initiators are largely bio-orthogonal and would not
interfere in many downstream applications, or could
potentially be selectively removed chemically or enzymatically
after synthesis. Nevertheless,
the demonstrated success of
nucleotide monomer initiators for de novo TdT synthesis
seems more useful in most contexts. The use of alternative
initiator chemistries still supports the possibility to use TdT to
create mixed nucleic acid chimeras, particularly since several
non-DNA nucleoside triphosphates have been found to be
accepted by TdT.11,27,28,30−32
The strong sequence dependence of TdT initiator extension
is a potential complication in TdT-based de novo synthesis.
Crystallographic studies of murine TdT indicate that three
consecutive nucleotides are at well-defined positions within the
polymerase,52 suggesting that TdT processivity is potentially
sensitive to the identity of the last three bases, but unlikely to
be significantly affected by further upstream bases. This
hypothesis is largely confirmed by our data. Consensus logos
for the 3′-hydroxy DNA initiators extended most efficiently by
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Research Article
Table 1. Results Summary Regarding Sequence and Length Dependence of Initiation Efficiency on Oligonucleotide Extension
a
with TdT Polymerase and dTTP for Various Types of Initiator Chemistries
sequence motifs (5′→3′) for 10% highest/lowest signal
most/least efficiently extended substrate
dimers
trimers
tetramers
pentamers
highest
lowest
highest
G _
T _
_ _
_ G G
_ _ T/C
_ G/A C/A
_ _ _ _
_ _ _ C
_ _ G/A C/A
_ _ _ _ _c
_ _ _ _ C
_ _ _ G/A C/Ac
sequence
TTCAT
TAGAC
GGUGC
corresponding normalized
signald
1.000
0.315
0.264
normalized average
signalb
D-DNA 3′-OH
2′OMe-RNA 3′-
OH
L-DNA 5′-OH
0.652
0.086
0.021
lowest
highest
lowest
n.s.
n.e.
U _
T _
_ _
n.s.
n.e.
U U U/G
T T _
_ G _
n.s.
n.e.
_ _ U G/U
T T _ _
A G _ _
n.s.
n.e.
_ _ U U G/U
T T _ _ _c
A G G _ _
n.s.
n.e.
UGUUG
TTAAA
AGT
(HEG)2
n.e.
0.018
0.102
0.004
0.125
n.e.
0.083
0.002
HEG
D-DNA 5′-OH
a“_”, no distinct nucleotide occurring at higher frequency at this position; n.s., no sequence dependence; n.e., no extension. bFluorescent signal
intensities averaged over all lengths and sequences, then normalized to highest signal intensity (1 = D-DNA 3′-OH “TTCAT”). cInitiator length
showing highest fluorescent signal for extension. dFluorescent signal intensity of best or worst sequence for initiation, respectively, normalized to
highest signal intensity.
TdT include only the last three 3′ bases for both the pentamers
and the tetramers, and the last two 3′ bases in the case of the
trimers (Figure 3a). In the case of the most poorly extended
initiators, a consensus only appears for the terminal 3′ base for
the pentamers and tetramers, whereas there is a small
contribution from the second nucleobase in the case of the
the 2′O-methyl-RNA and L-DNA
trimers. In the case of
initiating strands, again only two or three bases adjacent to the
3′-hydroxy end contribute significantly, either positively or
to the polymerase extension efficiency. For
negatively,
extension of TdT’s natural substrate, we found a 3-fold range
in efficiency between the best and worse initiator sequences for
pentamers, with the worst sequences resulting in polymer-
ization yields similar to the average values obtained for
monomer extension, about 2.5-fold lower than the average for
pentamers. Poorly extended pentamers are characterized by a
3′ cytosine, whereas the more optimal initiators are less well-
defined but are generally missing cytosines in the two terminal
positions. Very similar trends are apparent for tetramers, and
for trimers the pattern is less well-defined, but guanines in the
first two 3′ positions and cytosine or thymine at the 3′ are
correlated with best and worse extension, respectively. For
monomers and dimers,
the reduced number of possible
initiators and the smaller range between the best and worse
initiators prevents a similar sequence assessment.
In the case of 2′OMe-RNA initiating strands, we measured a
∼12-fold range in initiator extension efficiency between the
best and worst pentamer sequences. For tetramers, trimers and
dimers, the range decreases with length but is far larger than
for 3′-hydroxy D-DNA initiators of the same length (Figure 4).
Only in the case of the monomers is the efficiency largely
independent of nucleobase identity. This strong sequence
dependence results in well-defined consensus sequence logos.
The nucleobases immediately adjacent to the 3′ terminus are
consistently cytosines and adenosines for the best initiators
and guanines and uracils for the worst initiators. That the
sequence dependence for 2′OMe-RNA is completely different
from that of D-DNA is not surprising given that the methoxy
group must substantially alter the conformation of the initiator
within TdT, such that, apparently, only sequences with the
rather specific pattern revealed by the consensus logos are able
to function as a substrate for polymerization.
As for 2′OMe-RNA, TdT is also able to extend the 5′
hydroxy of L-DNA with low but clearly measurable yield.
Similarly, the sequence-dependent range of extension efficiency
is very large, about 20-fold, and associated with specific
sequence patterns. Better initiators share a pair of terminal
thymines, whereas the worse initiators omit this base in these
positions and instead favor adenine and guanine. Since this
substrate is the wrong end of the enantiomorph of the natural
substrate of TdT,
it appears that the polymerase is rather
unspecific and will add nucleotides to many hydroxy-bearing
molecules that fit within its binding site. This hypothesis is
supported by the extension of hexaethylene glycol, which has
little resemblance to single-stranded DNA other than flexibility
and a terminal hydroxy group. Figure 6 clearly indicates
fluorescent
intensity, corresponding to extension
efficiency, reaching a maximum for two linked HEG molecules.
For the cases of both one and two HEG units, the extension
efficiency is greater than for any of the substrates except the
natural DNA substrate and the ∼10% best 2′OMe-RNA
initiators. We attribute the loss of efficiency with further
extension to the primary alcohol becoming less accessible
within a polyethylene glycol tangle.
signal
By comparing absolute signal intensities (Figure 2) for the
different chemistries and averaged values across all sequence
variations (summarized in Table 1), D-DNA with available 3′-
OH represents the most efficient polymerization initiator. The
data shown in Table 1 indicate that the extension of even the
poorest initiator sequence made of 3′-OH D-DNA remains a
better primer
substrate. These
differences should be taken into account when considering
nonstandard initiators. In such cases, the reaction conditions
should be adapted, with for instance longer reaction times or
an increase of TdT concentration.
than any other
type of
■ CONCLUSIONS
Our study brings important new information to the activity
spectrum of TdT polymerase. In addition to its already well-
described broad range of acceptance for different types of
modified (d)NTPs and their analogues, we show here its
ability to extend other types of initiators as well. Although the
natural substrate of TdT, the 3′ terminus of DNA, clearly
outperforms 2′OMe-RNA (3′-OH), L-DNA (5′-OH), and
in enzymatic extension efficiency, that
hexaethylene glycol
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ACS Synthetic Biology
these initiators are extended at all
is remarkable. With the
investigation of sequence dependence on the efficiency of
extension, and the detection of initiation of extension even for
single nucleotides, our results open up new opportunities for
decoupling approaches for enzymatic de novo synthesis from
chemical synthesis of DNA and illustrate substrate diversity
coexisting with sequence specificity for
the template-
independent TdT polymerase.
■ ASSOCIATED CONTENT
*sı Supporting Information
The Supporting Information is available free of charge at
https://pubs.acs.org/doi/10.1021/acssynbio.1c00142.
Description of SI contents (PDF)
Data S1: Fluorescent intensity data of all experimental
data in spreadsheet format (XLSX)
Data S2: Layout design file with the location and
identity of all probes for the HEG arrays (TXT)
Data S3: Layout design file with the location and
identity of all probes for the oligonucleotide arrays
(TXT)
Data S4: High resolution fluorescent scan data for the
2′OMe-RNA data (TIF)
Data S5: High resolution fluorescent scan data for the D-
DNA 3′-OH extension data (TIF)
Data S6: High resolution fluorescent scan data for the D-
DNA 5′-OH extension data (TIF)
Data S7: High resolution fluorescent scan data for the
HEG extension data (TIF)
Data S8: High resolution fluorescent scan data for the L-
DNA 5′-OH data (TIF)
■ AUTHOR INFORMATION
Corresponding Author
Mark M. Somoza − Institute of Inorganic Chemistry, Faculty
of Chemistry, University of Vienna, 1090 Vienna, Austria;
Chair of Food Chemistry and Molecular Sensory Science,
Technical University of Munich, 85354 Freising, Germany;
Leibniz-Institute for Food Systems Biology at the Technical
University of Munich, 85354 Freising, Germany;
orcid.org/0000-0002-8039-1341; Email: mark.somoza@
univie.ac.at
Authors
Erika Schaudy − Institute of Inorganic Chemistry, Faculty of
Chemistry, University of Vienna, 1090 Vienna, Austria;
orcid.org/0000-0002-2803-6684
Jory Lietard − Institute of Inorganic Chemistry, Faculty of
Chemistry, University of Vienna, 1090 Vienna, Austria;
orcid.org/0000-0003-4523-6001
Complete contact information is available at:
https://pubs.acs.org/10.1021/acssynbio.1c00142
Author Contributions
M.M.S. and E.S. conceived the study. E.S. performed the
experiments and analyzed the data. E.S. and M.M.S. wrote the
manuscript. E.S., M.M.S., and J.L. discussed the results and
carefully revised the manuscript.
Notes
The authors declare no competing financial interest.
pubs.acs.org/synthbio
■ ACKNOWLEDGMENTS
Research Article
The authors thank Orgentis GmbH for the synthesis of D-DNA
phosphoramidites and ChemGenes for L-DNA, 2′OMe-RNA,
and HEG monomers. This work was supported by the Austrian
Science Fund (FWF P30596) and the Faculty of Chemistry of
the University of Vienna.
■ REFERENCES
(1) Bollum, F. J. (1960) Calf Thymus Polymerase. J. Biol. Chem. 235,
2399−2403.
(2) Fowler, J. D., and Suo, Z. (2006) Biochemical, Structural, and
Physiological Characterization of Terminal Deoxynucleotidyl Trans-
ferase. Chem. Rev. 106, 2092−2110.
(3) Gouge, J., Rosario, S., Romain, F., Beguin, P., and Delarue, M.
(2013) Structures of Intermediates along the Catalytic Cycle of
Terminal Deoxynucleotidyltransferase: Dynamical Aspects of
the
Two-Metal Ion Mechanism. J. Mol. Biol. 425, 4334−4352.
(4) Desiderio, S. V., Yancopoulos, G. D., Paskind, M., Thomas, E.,
Boss, M. A., Landau, N., Alt, F. W., and Baltimore, D. (1984)
Insertion of N regions into heavy-chain genes is correlated with
expression of terminal deoxytransferase in B cells. Nature 311, 752−
755.
(5) Schatz, D. G., Oettinger, M. A., and Schlissel, M. S. (1992)
V(D)J Recombination: Molecular Biology and Regulation. Annu. Rev.
Immunol. 10, 359−383.
(6) Kordon, M. M., Zarębski, M., Solarczyk, K., Ma, H., Pederson,
T., and Dobrucki, J. W. (2020) STRIDEa fluorescence method for
direct, specific in situ detection of individual single- or double-strand
DNA breaks in fixed cells. Nucleic Acids Res. 48, e14−e14.
(7) Jang, E. K., Son, R. G., and Pack, S. P. (2019) Novel enzymatic
single-nucleotide modification of DNA oligomer: prevention of
incessant incorporation of nucleotidyl transferase by ribonucleotide-
borate complex. Nucleic Acids Res. 47, e102−e102.
(8) Cao, B., Wu, X., Zhou, J., Wu, H., Liu, L., Zhang, Q., DeMott, M.
S., Gu, C., Wang, L., You, D., et al. (2020) Nick-seq for single-
nucleotide resolution genomic maps of DNA modifications and
damage. Nucleic Acids Res. 48, 6715−6725.
(9) Tang, L., Navarro, L. A., Jr., Chilkoti, A., and Zauscher, S. (2017)
High-Molecular-Weight Polynucleotides by Transferase-Catalyzed
Living Chain-Growth Polycondensation. Angew. Chem., Int. Ed. 56,
6778−6782.
(10) Tang, L., Tjong, V., Li, N., Yingling, Y. G., Chilkoti, A., and
Zauscher, S. (2014) Enzymatic polymerization of high molecular
weight DNA amphiphiles that self-assemble into star-like micelles.
Adv. Mater. 26, 3050−3054.
(11) Wolff, N., Hendling, M., Schönthaler, S., Geiss, A. F., and
Barišić, I. (2019) Low-cost microarray platform to detect antibiotic
resistance genes. Sens. Biosensing Res. 23, 100266.
(12) Tjong, V., Yu, H., Hucknall, A., and Chilkoti, A. (2013) Direct
Fluorescence Detection of RNA on Microarrays by Surface-Initiated
Enzymatic Polymerization. Anal. Chem. 85, 426−433.
(13) Sarac, I., and Hollenstein, M. (2019) Terminal Deoxynucleo-
tidyl Transferase in the Synthesis and Modification of Nucleic Acids.
ChemBioChem 20, 860−871.
(14) Hoff, K., Halpain, M., Garbagnati, G., Edwards, J. S., and Zhou,
W. (2020) Enzymatic Synthesis of Designer DNA Using Cyclic
Reversible Termination and a Universal Template. ACS Synth. Biol. 9,
283−293.
(15) Erlich, Y., and Zielinski, D. (2017) DNA Fountain enables a
robust and efficient storage architecture. Science 355, 950−954.
(16) Grass, R. N., Heckel, R., Puddu, M., Paunescu, D., and Stark,
W. J. (2015) Robust Chemical Preservation of Digital Information on
DNA in Silica with Error-Correcting Codes. Angew. Chem., Int. Ed. 54,
2552−2555.
(17) Antkowiak, P. L., Lietard, J., Darestani, M. Z., Somoza, M. M.,
Stark, W. J., Heckel, R., and Grass, R. N. (2020) Low cost DNA data
storage using photolithographic synthesis and advanced information
reconstruction and error correction. Nat. Commun. 11, 5345.
1758
https://doi.org/10.1021/acssynbio.1c00142
ACS Synth. Biol. 2021, 10, 1750−1760
ACS Synthetic Biology
pubs.acs.org/synthbio
Research Article
(18) Lee, H. H., Kalhor, R., Goela, N., Bolot, J., and Church, G. M.
(2019) Terminator-free template-independent enzymatic DNA syn-
thesis for digital information storage. Nat. Commun. 10, 2383.
(19) Barthel, S., Palluk, S., Hillson, N. J., Keasling, J. D., and Arlow,
D. H. (2020) Enhancing Terminal Deoxynucleotidyl Transferase
Activity on Substrates with 3′ Terminal Structures for Enzymatic De
Novo DNA Synthesis. Genes 11, 102.
(20) Palluk, S., Arlow, D. H., de Rond, T., Barthel, S., Kang, J. S.,
Bector, R., Baghdassarian, H. M., Truong, A. N., Kim, P. W., Singh, A.
K., et al. (2018) De novo DNA synthesis using polymerase-nucleotide
conjugates. Nat. Biotechnol. 36, 645.
(21) Mathews, A. S., Yang, H., and Montemagno, C. (2016) Photo-
cleavable nucleotides for primer
free enzyme mediated DNA
synthesis. Org. Biomol. Chem. 14, 8278−8288.
(22) Gurney, A. M., and Lester, H. A. (1987) Light-flash physiology
with synthetic photosensitive compounds. Physiol. Rev. 67, 583−617.
(23) Lee, H., Wiegand, D. J., Griswold, K., Punthambaker, S., Chun,
H., Kohman, R. E., and Church, G. M. (2020) Photon-directed
multiplexed enzymatic DNA synthesis for molecular digital data
storage. Nat. Commun. 11, 5246.
(24) Kato, K.-i., Gonalves, J. M., Houts, G.E., and Bollum, F.J.
(1967) Deoxynucleotide-polymerizing enzymes of calf thymus gland.
II. Properties of the terminal deoxynucleotidyltransferase. J. Biol.
Chem. 242, 2780−2789.
(25) Hayes, F. N., Mitchell, V. E., Ratliff, R. L., Schwartz, A. W., and
Williams, D. L. (1966) Incorporation Efficiency of Small Oligo-5′-
nucleotide Initiators in the Terminal Deoxyribonucleotide Trans-
ferase Reaction. Biochemistry 5, 3625−3629.
J.-B., Rougeon, F., and Papanicolaou, C. (2001)
(26) Boulé,
Terminal Deoxynucleotidyl Transferase Indiscriminately Incorporates
Ribonucleotides and Deoxyribonucleotides.
J. Biol. Chem. 276,
31388−31393.
(27) Roychoudhury, R., and Kössel, H. (1971) Synthetic
Polynucleotides. Enzymic Synthesis of Ribonucleotide Terminated
Oligodeoxynucleotides and Their Use as Primers for the Enzymic
Synthesis of Polydeoxynucleotides. Eur. J. Biochem. 22, 310−320.
(28) Rosemeyer, V., Laubrock, A., and Seibl, R. (1995) Non-
radioactive 3′-End-Labeling of RNA Molecules of Different Lengths
by Terminal Deoxynucleotidyltransferase. Anal. Biochem. 224, 446−
449.
(29) Yang, Y.-J., Song, L., Zhao, X.-C., Zhang, C., Wu, W.-Q., You,
H.-J., Fu, H., Zhou, E.-C., and Zhang, X.-H. (2019) A Universal Assay
for Making DNA, RNA, and RNA−DNA Hybrid Configurations for
Single-Molecule Manipulation in Two or Three Steps without
Ligation. ACS Synth. Biol. 8, 1663−1672.
(30) Guerra, C. E. (2006) Analysis of oligonucleotide microarrays by
3′ end labeling using fluorescent nucleotides and terminal transferase.
BioTechniques 41, 53−56.
(31) Tauraitė, D., Jakubovska, J., Dabužinskaitė, J., Bratchikov, M.,
and Meškys, R. (2017) Modified Nucleotides as Substrates of
Terminal Deoxynucleotidyl Transferase. Molecules 22, 672.
(32) Matyugina, E. S., Alexandrova, L. A., Jasco, M. V., Ivanov, A. V.,
Vasiliev, I. A., Lapteva, V. L., Khandazhinskaya, A. L., and Kukhanova,
M. K. (2009) Structure-functional analysis of interactions of terminal
deoxynucleotidyl
transferase with new non-nucleoside substrates.
Russ. J. Bioorg. Chem. 35, 342−348.
(33) Jarchow-Choy, S. K., Krueger, A. T., Liu, H., Gao, J., and Kool,
E. T. (2011) Fluorescent xDNA nucleotides as efficient substrates for
a template-independent polymerase. Nucleic Acids Res. 39, 1586−
1594.
(34) Röthlisberger, P., Levi-Acobas, F., Sarac, I., Baron, B., England,
P., Marlière, P., Herdewijn, P., and Hollenstein, M. (2017) Facile
immobilization of DNA using an enzymatic his-tag mimic. Chem.
Commun. 53, 13031−13034.
(35) Chua, J. P. S., Go, M. K., Osothprarop, T., McDonald, S.,
Karabadzhak, A. G., Yew, W. S., Peisajovich, S., and Nirantar, S.
(2020) Evolving a Thermostable Terminal Deoxynucleotidyl Trans-
ferase. ACS Synth. Biol. 9, 1725−1735.
(36) Kukhanova, M. K., Ivanov, A. V., and Jasko, M. V. (2005)
StructuralFunctional Relationships between Terminal Deoxynu-
cleotidyltransferase and 5′-Triphosphates of Nucleoside Analogs.
Biochemistry (Moscow) 70, 890−896.
(37) Sosunov, V. V., Santamaria, F., Victorova, L. S., Gosselin, G.,
Rayner, B., and Krayevsky, A. A. (2000) Stereochemical control of
DNA biosynthesis. Nucleic Acids Res. 28, 1170−1175.
(38) Thomas, C., Rusanov, T., Hoang, T., Augustin, T., Kent, T.,
Gaspar,
I., and Pomerantz, R. T. (2019) One-step enzymatic
modification of RNA 3′ termini using polymerase θ. Nucleic Acids
Res. 47, 3272−3283.
(39) Winz, M.-L., Samanta, A., Benzinger, D., and Jäschke, A. (2012)
Site-specific terminal and internal
labeling of RNA by poly(A)
polymerase tailing and copper-catalyzed or copper-free strain-
promoted click chemistry. Nucleic Acids Res. 40, e78.
(40) Hölz, K., Schaudy, E., Lietard, J., and Somoza, M. M. (2019)
Multi-level patterning nucleic acid photolithography. Nat. Commun.
10, 3805.
(41) Hölz, K., Hoi, J. K., Schaudy, E., Somoza, V., Lietard, J., and
Somoza, M. M. (2018) High-Efficiency Reverse (5′→3′) Synthesis of
Complex DNA Microarrays. Sci. Rep. 8, 15099.
(42) Chen, S., Phillips, M. F., Cerrina, F., and Smith, L. M. (2009)
Controlling Oligonucleotide Surface Density in Light-Directed DNA
Array Fabrication. Langmuir 25, 6570−6575.
(43) Agbavwe, C., Kim, C., Hong, D., Heinrich, K., Wang, T., and
Somoza, M. M. (2011) Efficiency, error and yield in light-directed
maskless synthesis of DNA microarrays. J. Nanobiotechnol. 9, 57.
(44) Lietard, J., Abou Assi, H., Gomez-Pinto, I., Gonzalez, C.,
Somoza, M. M., and Damha, M. J. (2017) Mapping the affinity
landscape of Thrombin-binding aptamers on 2′F-ANA/DNA
chimeric G-Quadruplex microarrays. Nucleic Acids Res. 45, 1619−
1632.
(45) Lietard, J., Ameur, D., Damha, M. J., and Somoza, M. M.
(2018) High-Density RNA Microarrays Synthesized In Situ by
Photolithography. Angew. Chem., Int. Ed. 57, 15257−15261.
(46) Schaudy, E., Somoza, M. M., and Lietard, J. (2020) l-DNA
Duplex Formation as a Bioorthogonal
in
Nucleic Acid-Based Surface Patterning. Chem. - Eur. J. 26, 14310−
14314.
(47) Sack, M., Kretschy, N., Rohm, B., Somoza, V., and Somoza, M.
M. (2013) Simultaneous Light-Directed Synthesis of Mirror-Image
Microarrays in a Photochemical Reaction Cell with Flare Suppression.
Anal. Chem. 85, 8513−8517.
(48) Kretschy, N., Holik, A.-K., Somoza, V., Stengele, K.-P., and
Somoza, M. M. (2015) Next-Generation o-Nitrobenzyl Photolabile
Groups for Light-Directed Chemistry and Microarray Synthesis.
Angew. Chem., Int. Ed. 54, 8555−8559.
(49) Hölz, K., Lietard, J., and Somoza, M. M. (2017) High-Power
for Photo-
365 nm UV LED Mercury Arc Lamp Replacement
chemistry and Chemical Photolithography. ACS Sustain. ACS
Sustainable Chem. Eng. 5, 828−834.
(50) Schneider, T. D., and Stephens, R. M. (1990) Sequence logos: a
new way to display consensus sequences. Nucleic Acids Res. 18, 6097−
6100.
J. (2010) Terminal
(51) Motea, E. A., and Berdis, A.
deoxynucleotidyl
transferase: The story of a misguided DNA
polymerase. Biochim. Biophys. Acta, Proteins Proteomics 1804, 1151−
1166.
(52) Delarue, M., Boulé, J. B., Lescar, J., Expert-Bezançon, N.,
Jourdan, N., Sukumar, N., Rougeon, F., and Papanicolaou, C. (2002)
Crystal structures of a template-independent DNA polymerase:
murine terminal deoxynucleotidyltransferase. EMBO J. 21, 427−439.
(53) Kim, J. H., and Larson, R. G. (2007) Single-molecule analysis of
1D diffusion and transcription elongation of T7 RNA polymerase
along individual stretched DNA molecules. Nucleic Acids Res. 35,
3848−3858.
(54) Daitchman, D., Greenblatt, H. M., and Levy, Y. (2018)
Diffusion of ring-shaped proteins along DNA: case study of sliding
clamps. Nucleic Acids Res. 46, 5935−5949.
Information Channel
1759
https://doi.org/10.1021/acssynbio.1c00142
ACS Synth. Biol. 2021, 10, 1750−1760
ACS Synthetic Biology
pubs.acs.org/synthbio
Research Article
(55) Focher, F., Maga, G., Bendiscioli, A., Capobianco, M., Colonna,
F., Garbesi, A., and Spadari, S. (1995) Stereospecificity of human
DNA polymerases α,β,γ,§ and ε, HIV-reverse transcriptase, HSV-
DNA polymerase, calf thymus terminal transferase and Escherichia
coli DNA polymerase I in recognizing D- and L-thymidine 5′-
triphosphate as substrate. Nucleic Acids Res. 23, 2840−2847.
(56) Hauser, N. C., Martinez, R., Jacob, A., Rupp, S., Hoheisel, J. D.,
and Matysiak, S. (2006) Utilising the left-helical conformation of L-
DNA for analysing different marker types on a single universal
microarray platform. Nucleic Acids Res. 34, 5101−5111.
(57) Urata, H., Shinohara, K., Ogura, E., Ueda, Y., and Akagi, M.
(1991) Mirror-image DNA. J. Am. Chem. Soc. 113, 8174−8175.
(58) An, J., Choi, J., Hwang, D., Park, J., Pemble, C. W., Duong, T.
H. M., Kim, K.-R., Ahn, H., Chung, H. S., and Ahn, D.-R. (2020) The
crystal structure of a natural DNA polymerase complexed with mirror
DNA. Chem. Commun. 56, 2186−2189.
(59) Zhong, W., and Sczepanski, J. T. (2021) Direct Comparison of
d-DNA and l-DNA Strand-Displacement Reactions
in Living
Mammalian Cells. ACS Synth. Biol. 10, 209−212.
1760
https://doi.org/10.1021/acssynbio.1c00142
ACS Synth. Biol. 2021, 10, 1750−1760
| null |
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Data availability statement
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Mach. Learn.: Sci. Technol. 4 (2023) 045039
https://doi.org/10.1088/2632-2153/ad0e17
PAPER
Artificial intelligent identification of apatite fission tracks based on
machine learning
Zuoting Ren1, Shichao Li1,2,∗, Perry Xiao3, Xiaopeng Yang1 and Hongtao Wang1
1 College of Earth Sciences, Jilin University, Changchun 130061, People’s Republic of China
2 Key Laboratory of Mineral Resources Evaluation in Northeast Asia, Ministry of Natural Resources, Changchun 130061, People’s
Republic of China
3 School of Engineering, London South Bank University, London SE1 0AA, United Kingdom
∗
Author to whom any correspondence should be addressed.
E-mail: lsc@jlu.edu.cn
Keywords: apatite fission track, OpenCV cascade classifier, TensorFlow object detection API, precision, recall, F1-Score
Abstract
Over the past half century, apatite fission track (AFT) thermochronometry has been widely used in
the studies of thermal histories of Earth’s uppermost crust. The acquired thermal histories in turn
can be used to quantify many geologic processes such as erosion, sedimentary burial, and tectonic
deformation. However, the current practice of acquiring AFT data has major limitations due to the
use of traditional microscopes by human operators, which is slow and error-prone. This study uses
the local binary pattern feature based on the OpenCV cascade classifier and the faster region-based
convolutional neural network model based on the TensorFlow Object Detection API, these two
methods offer a means for the rapid identification and measurement of apatite fission tracks,
leading to significant improvements in the efficiency and accuracy of track counting. We employed
a training dataset consisting of 50 spontaneous fission track images and 65 Durango standard
samples as training data for both techniques. Subsequently, the performance of these methods was
evaluated using additional 10 spontaneous fission track images and 15 Durango standard samples,
which resulted in higher Precision, Recall, and F1-Score values. Through these illustrative
examples, we have effectively demonstrated the higher accuracy of these newly developed methods
in identifying apatite fission tracks. This suggests their potential for widespread applications in
future apatite fission track research.
1. Introduction
The fission track method (Silk and Barnes 1959, Price and Walker 1962, Fleischer et al 1965) has been
applied to resolve many geological problems such as determining the thermal history of sedimentary basins
(Gleadow et al 1986, Emmel et al 2014), the timing of fault activities (Roden-Tice and Wintsch 2002, Abbey
and Niemi 2018), source-sink coupling during mountain building processes (Ruiz et al 2004, Chen et al
2020), uplift histories of orogenic belts (He et al 2018, Bonilla et al 2020, Wang et al 2023), regional tectonic
evolution (Grist and Zentilli 2003), and mineralization (Chakurian et al 2003). In the 1980s and 1990s, the
apatite fission track dating method has been greatly improved after the introduction of ζ age parameter
reference, the performance of annealing experiments, the development of annealing models, and the
quantification of apatite multivariate kinetic annealing processes (Hurford and Green 1983, Laslett et al
1987, Green et al 1989, Vrolijk et al 1992).
The fission track dating method is a valuable tool in geology as it provides information not only on the
age of a geologic event but also on the thermal history of a sample. For instance, fission track lengths can be
used to determine the age and cooling rate of an orogenic uplift event. The thermal history of orogenic
development can also be modeled using software like HeFty and QtQt (Vermeesch and Tian 2014). There are
several methods for fission track identification and counting including the external-detector method,
subtraction method, re-etching method, and re-polishing method. Currently, the external detector method is
© 2023 The Author(s). Published by IOP Publishing Ltd
Mach. Learn.: Sci. Technol. 4 (2023) 045039
Z Ren et al
the most widely used method for fission track thermochronology. This method determines the fission track
age by counting the fossil fission tracks in minerals and induced-fission tracks in external detectors. In the
present study, fission tracks were obtained using the external detector method. The procedure involved
collecting rock samples, isolating apatite crystals, creating thin sections, etching the sections, irradiating the
samples with thermal neutrons, processing post-irradiation, and counting the number and distribution of
fission tracks.
Determining the number and length of fission tracks may be the final step in the dating procedure, but it
is also the most important and challenging step. This work forms the foundation for subsequent studies such
as dating and thermal history simulation. Traditionally, fission track statistics were obtained through manual
observations using a microscope to count the track lengths. This process can be time-consuming for the
operator and prone to counting errors, leading to a low efficiency of fission track identification. To improve
efficiency, technology with automatic recognition capabilities is necessary.
The initial investigations into the automatic recognition of fission tracks utilized image morphology
analysis (Petford et al 1993, Gleadow et al 2009). This approach entailed the conversion of the transmitted
light-reflected light image of fission tracks into a binary image followed by using a threshold segmentation
procedure to separate the two images. The overlapping features in the two binary images were then extracted
and used for recognition.
In recent years, machine learning has developed rapidly and has applications in many fields that work
with large data sets. Many algorithms have been developed for data mining with particular applications to
Earth science research (Fleming et al 2021, Recanati et al 2021, Zhang et al 2021), such as rock classification,
stratigraphic analysis, earthquake prediction, landslide statistics, and geochemistry (Li et al 2018,
Baraboshkin et al 2020, de Lima et al 2020, Xu et al 2021).
Object detection technology is a widely researched area in machine learning. It can be divided into
traditional algorithms and deep learning algorithms, with the latter being the current mainstream.
Traditional object detection algorithms have been applied in image processing and face recognition, but they
suffer from low efficiency and low recognition rates. The advent of regional convolution neural networks has
propelled object detection technology into the deep learning era, resulting in a significant improvement in
detection accuracy (Girshick 2015).
In recent years, significant advancements have been made in the field of intelligent identification of
apatite fission tracks, thanks to the progress in target detection technology. Researchers have achieved
notable progress by employing cutting-edge techniques. For instance, Nachtergaele et al successfully
developed a deep neural network that demonstrates exceptional capabilities in intelligently identifying
apatite fission tracks, yielding highly accurate results (Nachtergaele and Grave 2021). Similarly, Li et al
utilized a convolutional neural network (CNN) to extract semi-tracks through image semantic segmentation,
thereby contributing to the study of intelligent identification methods for apatite fission tracks (Li et al
2022). These advancements highlight the promising trajectory of research in this area.
This paper employs two novel object detection algorithms. The first is the TensorFlow Object Detection
API based on faster region-based convolutional neural network (R-CNN) (Ren et al 2017), which integrates
feature extraction, candidate area extraction, object location, and object classification into a single network,
thereby enhancing recognition capabilities. We also employed the local binary pattern (LBP) feature-based
OpenCV cascade classifier object detection method for comparison (Ojala et al 2000).
After selecting the two approaches, we gathered and filtered the respective experimental data
(photographs of apatite fission track samples). We carefully selected clear and representative photos of
apatite fission track samples. These sample photos were preprocessed to establish the necessary experimental
conditions for running the two methods. Subsequently, each method was individually trained while
continuously adjusting the training duration, the amount of training samples, and the model parameters.
The experimental results of both methods were calculated, and a comparison and discussion were conducted
on their Precision, Recall, and F1-Score.
2. Data and methods
Tracks that have not undergone chemical etching are referred to as latent tracks, while fission tracks that have
been etched become linear grooves with defined lengths. Usually, these tracks lack a preferred orientation.
However, in some cases, ‘noise’ on the etched surface of apatite, such as defects and scratches, can interfere
with track identification. These challenges make the identification of fission tracks difficult. To overcome
these issues, we use two newly developed methods for removing these effects.
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Z Ren et al
Figure 1. LBP schematic.
2.1. Experimental method
2.1.1. OpenCV processing image recognition
OpenCV stands for open source computer vision library, which primarily uses image processing and
machine learning algorithms to address related problems. Compared to other computer vision recognition
libraries, OpenCV boasts several advantages, such as multiple language interfaces, cross-platform
compatibility, robust development, and a plentiful API.
In this paper, we use the OpenCV cascade classifier based on LBP features for our method. LBP is a tool
for capturing the local texture features of an image, primarily utilized for texture feature extraction (Ojala
et al 1996). It operates within a 3 × 3 window where the center pixel is used as a threshold and the grayscale
values of the eight surrounding pixels are compared to it. If the peripheral pixel value is greater than the
center pixel value, the pixel’s position is marked as 1; otherwise, it is marked as 0. By comparing the 8 points
in the 3 × 3 neighborhood, 8-bit binary numbers are generated, which represent the LBP value of the center
pixel and depict the texture information of the area (figure 1, Ojala et al 2000).
The process is described by the equation:
P−1∑
(
LBP(P,R) =
s
gp − ga
)
2p
p=0
{
1x ⩾ 0
0x < 0
.
s (x) =
(1)
(2)
In the equation, gp is the gray value of the pixel on the circle with the center pixel and R as the radius, ga is
the gray value of the center pixel in the corresponding local neighborhood, and P is the number of
surrounding pixels points.
The experiment employs the use of the cascade classifier, which is based on the LBP algorithm and
provided by OpenCV. This classifier comprises many weak classifiers that are designed to classify different
features of detection targets. The classifiers at each level are more complex than those at the previous level.
Multiple weak classifiers work together, and different features are extracted from each window, which are
then fed into different weak classifiers for judgment. If all the labels judged by the weak classifiers are positive
samples, the target is detected in the smoothing window. The classifier at each layer of the cascade is trained
and optimized based on the results of the previous layer. This enables negative samples to be quickly
eliminated and reduces the number of misclassified samples, improving the overall classification
performance without increasing the computational complexity.
2.1.2. TensorFlow object detection API processing image recognition
The TensorFlow Object Detection API is a programming interface that utilizes TensorFlow to tackle object
recognition issues such as real-time object identification. It boasts a reliable API, a streamlined workflow,
excellent system compatibility, and highly efficient recognition capabilities. The API comprises object
detection frameworks, including single shot multibox detector (SSD), region with CNN feature (R-CNN),
and region-based fully convolutional network (R-FCN). For these models, integrated experiments can also
be conducted by combining different feature extraction networks. Typical feature extraction networks
include VGG, Inception v3, ResNet-101, Inception ResNet, etc (Al-Azzo et al 2018).
The Faster R-CNN algorithm is the method employed in this study. As a typical two-stage object
detection model, Faster R-CNN builds on the R-CNN and Fast R-CNN algorithms. The key difference is the
use of a region proposal network (RPN) to generate candidate proposal windows. The Faster R-CNN
detection process is composed of four major components: (1) a feature extraction network, which extracts
features from the input image and outputs a feature map for use by the RPN and fully connected layer; (2) a
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Z Ren et al
Figure 2. Flow chart of Faster R-CNN detection.
region candidate network (RPN), which generates anchor boxes and determines whether they contain an
object, and also performs a bounding box regression to form a region proposal; (3) ROI Pooling Layer.
Combine the feature map obtained from the first two modules with the region proposals to obtain a
fixed-size proposal feature map which is then passed into the fully connected network for classification; (4)
classification and regression. The proposal and feature map are used to calculate the specific class of the
object, and a bounding box regression is done to obtain the exact position of the detection box (figure 2)
(Ren et al 2017).
When training RPN, the Anchor is divided into two categories. An anchor with a target in the box is
labeled as a positive sample. An anchor without a target in the box is labeled as a negative sample. The loss
function of the RPN network consists of two components, which are classification loss (Lcls) and boundary
regression loss (Lreg). The equations are as follows (Ren et al 2017):
L ({pi} , {ti}) =
1
Ncls
∑
i
Lcls (pi, p
∗
i ) + λ
1
Nreg
∑
i
∗
i Lreg (ti, t
∗
i )
p
(3)
where pi represents the probability that the ith Anchor predicted by the network is the target, p∗
i represents
the true value corresponding to pi. If the Anchor is positive, p∗
is 1, and if the Anchor is negative, it is 0, ti is
i
a vector representing the 4 parameterized coordinates of the prediction bounding box, indicating the offset
between the prediction box and the Anchor box, t∗
i represents the true value corresponding to ti, indicating
the offset between the true value and the Anchor box. Ncls is set to the size of the batch, and Nreg is set to the
total number of Anchors, λ is the balance parameter used for the two loss functions.
The faster_rcnn_inception_v2 model uses the Inception V2 network as its base network. This network is
a pretrained CNN that has been trained on large-scale image data and has good feature extraction
capabilities. It consists of multiple convolutional layers, pooling layers, and fully connected layers. In the
Inception V2 network, advanced features of the image are gradually extracted through multiple convolution
operations. Each convolutional layer slides a convolutional kernel over the input image to extract features
and obtain an output feature map. As the number of layers increases, the receptive field gradually increases,
allowing the model to model a larger range of image information (Ioffe and Szegedy 2015).
2.2. Data construction
In this study, we utilized apatite fission tracks obtained through the external detector method. We employed
two Durango samples, which are recognized as the standard in apatite fission track dating. The ages of the
two samples are 31.4 ± 0.5 Ma (Wang et al 2018) and 31.02 ± 1.01 Ma (Mcdowell et al 2005), respectively.
Our sample collection consisted of 20 images of Dur1 (Durango sample 1) and 60 images of Dur2 (Durango
sample 2). A Zeiss microscope equipped with the Autoscan TrackWorks software, with a magnification
setting of 1000, was used to generate sample images. The images of spontaneous fission tracks, with
dimensions of 2048 px × 1536 px, were taken and numbered Qi (60 in total). These images were sourced
from granite samples of the Qimen Tagh Range located on the northeastern margins of the Tibetan Plateau.
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Z Ren et al
Dataset
Sample name
Number of images
Image format
Image resolution
Table 1. Fission track data table.
Training samples
Testing samples
Qi
Dur1
Dur2
Qi
Dur1
Dur2
50
50
15
10
10
5
.jpg
.jpg
.jpg
.jpg
.jpg
.jpg
2048 × 1536
2048 × 1536
2048 × 1536
2048 × 1536
2048 × 1536
2048 × 1536
The apatite fission tracks from these images dated from 58.7 ± 3.6 Ma to 239.5 ± 29.8 Ma. A total number of
50 images of Qi, 15 images of Dur1, and 50 images of Dur2 were selected as the training data images.
Meanwhile, ten images of Qi, five images of Dur1, and ten images of Dur2 were used as test data images.
These test samples were manually counted and compared against machine learning methods (table 1).
3. Experimental design
Object detection is a subcategory of image recognition. In image recognition, the goal is to identify different
objects present in an image, while in object detection, not only do the objects need to be recognized but also
their specific location must be identified. Conducting experiments on object detection requires image
labeling of the experimental data, where the objects to be recognized are assigned specific labels to
distinguish them from other objects in the image. In this experiment, two methods were used, and the same
training sample was used for both methods. However, the data processing methods were different. In the first
method, which used OpenCV’s cascade classifier, the entire training image was cut into positive and negative
samples, and this was used for data processing. In contrast, for the second method, which used TensorFlow
Object Detection API, Labelimg software was used to label the entire image, and the fission track was divided
into two labels: opaque and transparent.
3.1. OpenCV cascade classifier for image processing
The experiment employed OpenCV’s cascade classifier to preprocess the images. The primary step in data
preprocessing involved uniformly cutting the parts of the large image containing tracks into 40 × 40 pixel
images and then converting them to grayscale to be used as positive samples (figure 3).
The images without fission tracks were also cropped and utilized as negative samples. The sample size is
specified below (table 2).
The objective of creating positive and negative sample description files with corresponding samples is to
produce vectorized data. The opencv_createsamples.exe program, which is part of OpenCV, can be used to
create a vectorized positive sample set (.vec file) from the positive samples and their description files. The
subsequent step involves utilizing OpenCV’s training classification tool (opencv_traincascade.exe) for the
classification training. Upon completion of the training, a final model (cascade.xml) will be generated.
Finally, the trained cascade classifier is employed for detecting the target of apatite fission track images.
3.2. TensorFlow object detection API for image processing
The TensorFlow Object Detection API simplifies image preprocessing compared to the OpenCV cascade
classifier, as it does not require the preparation of positive and negative samples. Instead, it is necessary to
annotate the apatite fission track images. During experiments, the tracks exhibit diverse shapes, so to ease
training, we categorize the training samples into two groups based on the transparency of the tracks:
transparent and opaque (figure 4).
We calculate the results of the two labels in a unified way in the final result testing stage. The training
sample used is based on the data shown in the training set in table 1. The marking data quantity of opaque
and opaque labels is shown in the following table (table 3).
Labelimg is a graphical tool for image annotation, which converts label information into XML files for
storage and exchange. The datasets were annotated manually using Labelimg by drawing bounding boxes
around the targets and labeling them accordingly. Upon completion of the annotation, an XML file is
generated automatically. However, to be compatible with TensorFlow’s operating environment, it is necessary
to convert the XML file to a CSV file and then to a TensorFlow-compatible TFRECORD file. After the
conversion is completed, the parameter setting and training of the model can be performed.
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Figure 3. Positive sample (A) negative sample (B).
Table 2. OpenCV positive and negative sample data table.
Sample name
Positive samples
Negative samples
Number
1000
2000
Figure 4. Examples of labels.
Table 3. TensorFlow object detection API label sample data table.
Sample name
Opaque samples
Transparent samples
Number
5200
800
Table 4. The important hyperparameters of TensorFlow object detection API.
Name
Num_classes
Batch_size
Initial_learning_rate
Num_steps
Eval_config:{num_examples}
Eval_config:{max_evals}
Number
2
1
0.0002
100 000
57
10
The training model used in this experiment is faster_rcnn_inception_v2. Using the TensorFlow-GPU
version, compared to the TensorFlow-CPU version, the GPU operation will process graphics and images
faster, shortening the training time. The important parameter settings in this training, are the batch size (the
number of training samples at a time) is set to 10, and the training steps are set to 100 000. The important
hyperparameters settings in this training are as follows (table 4):
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Z Ren et al
Table 5. OpenCV test result table.
OpenCV
Xa
Xm
TP
FP
FN
Precision
Recall
F1-Score
23
29
16
23
29
35
27
39
7
28
27
24
28
26
23
30
44
34
37
41
31
39
29
34
41
17
25
16
18
19
24
19
29
6
22
23
22
22
22
18
20
30
21
27
32
20
27
20
24
31
6
4
0
5
10
11
8
10
1
6
4
2
6
4
5
10
14
13
10
9
11
12
9
10
10
5
9
5
5
6
8
9
10
3
5
5
7
1
9
5
5
15
2
10
11
8
11
6
7
8
Image1
Image2
Image3
Image4
Image5
Image6
Image7
Image8
Image9
Image10
Image11
Image12
Image13
Image14
Image15
Image16
Image17
Image18
Image19
Image20
Image21
Image22
Image23
Image24
Image25
Average
22
34
21
23
25
32
28
39
9
27
28
29
23
31
23
25
45
23
37
43
28
38
26
31
39
Qi
Dur1
Dur2
All
73.9%
86.2%
100.0%
78.3%
65.5%
68.6%
70.4%
74.4%
85.7%
78.6%
85.2%
91.7%
78.6%
84.6%
78.3%
66.7%
68.2%
61.8%
73.0%
78.0%
64.5%
69.2%
69.0%
70.6%
75.6%
78.1%
83.7%
69.7%
75.9%
77.3%
73.5%
76.2%
78.3%
76.0%
75.0%
67.9%
74.4%
66.7%
81.5%
82.1%
75.9%
95.7%
71.0%
78.3%
80.0%
66.7%
91.3%
73.0%
74.4%
71.4%
71.1%
76.9%
77.4%
79.5%
74.7%
80.6%
76.2%
76.4%
75.6%
79.4%
86.5%
78.3%
70.4%
71.6%
69.1%
74.4%
75.0%
80.0%
83.6%
83.0%
86.3%
77.2%
78.3%
72.7%
67.4%
73.7%
73.0%
76.2%
67.8%
70.1%
72.7%
73.8%
77.5%
76.0%
81.7%
72.5%
75.7%
4. Experiment results
The experimental results of different methods are evaluated by the same evaluation method. Evaluation
indicators are an important basis for evaluating the goodness of target detection algorithms. There are many
kinds of evaluation indicators, among which the more typical ones are Precision (P) and Recall (R), with the
following formulas:
P =
R =
TP
TP + FP
TP
TP + FN
.
(4)
(5)
The true positive (TP) represents correctly identified fission tracks, the false positive (FP) represents the
incorrectly identified fission tracks, and the false negative (FN) represents the fission tracks that were not
identified. We used two different target detection models, thus it was necessary to choose between the two
sets of Precision and Recall. Hence, we used F1-Score (F1) as a measure of the classification problem. It is the
average of Precision and Recall, which integrates the results and ranges from 0 to 1, with 1 being the best and
0 the worst output of the model. The formula for the F1-Score is as follows:
F1 =
2 × P × R
P + R
.
(6)
Tables 5 and 6 show the results of the OpenCV cascade classifier and TensorFlow Object Detection API,
in which Image1–Image10 is sample Qi, Image11–Image15 is sample Dur1, and Image16–Image25 is sample
Dur2. The number of fission tracks in artificially identified test pictures is Xa, and the number of fission
tracks identified by the machine learning method is Xm. The experimental results using the OpenCV cascade
classifier method are as follows (table 5).
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Z Ren et al
Table 6. TensorFlow object detection API test result table.
TensorFlow object detection API
Xa
Xm
TP
FP
FN
Precision
Recall
F1-Score
17
26
10
17
18
28
22
32
9
22
28
27
23
26
20
28
43
25
37
41
30
34
24
32
40
16
24
10
15
17
26
21
32
9
21
28
27
22
26
20
24
39
23
33
38
25
32
24
28
38
1
2
0
2
1
2
1
0
0
1
0
0
1
0
0
4
4
2
4
3
5
2
0
4
2
5
8
11
8
8
6
7
7
0
6
0
2
1
5
3
1
6
0
4
5
3
6
2
3
1
Image1
Image2
Image3
Image4
Image5
Image6
Image7
Image8
Image9
Image10
Image11
Image12
Image13
Image14
Image15
Image16
Image17
Image18
Image19
Image20
Image21
Image22
Image23
Image24
Image25
Average
22
34
21
23
25
32
28
39
9
27
28
29
23
31
23
25
45
23
37
43
28
38
26
31
39
Qi
Dur1
Dur2
All
94.1%
92.3%
100.0%
88.2%
94.4%
92.9%
95.5%
100.0%
100.0%
95.5%
100.0%
100.0%
95.7%
100.0%
100.0%
85.7%
90.7%
92.0%
89.2%
92.7%
83.3%
94.1%
100.0%
87.5%
95.0%
95.3%
99.1%
91.0%
94.4%
76.2%
75.0%
47.6%
65.2%
68.0%
81.3%
75.0%
82.1%
100.0%
77.8%
100.0%
93.1%
95.7%
83.9%
87.0%
96.0%
86.7%
100.0%
89.2%
88.4%
89.3%
84.2%
92.3%
90.3%
97.4%
74.8%
91.9%
91.4%
84.9%
84.2%
82.8%
64.5%
75.0%
79.1%
86.7%
84.0%
90.1%
100.0%
85.7%
100.0%
96.4%
95.7%
91.2%
93.0%
90.6%
88.6%
95.8%
89.2%
90.5%
86.2%
88.9%
96.0%
88.9%
96.2%
83.2%
95.3%
91.1%
88.8%
The experimental results using the TensorFlow Object Detection API method are as follows (table 6).
For the validation of the Qi sample (Wang et al 2018), a total of ten images (Image1–Image10) were used,
with the manual identifications ranging from 9 to 39. The OpenCV cascade classifier had an average
Precision of 78.1%, an average Recall of 74.7%, and an average F1-Score of 76.0%. The TensorFlow Object
Detection API based on the Faster R-CNN algorithm had an average Precision of 95.3%, an average Recall of
74.8%, and an average F1-Score of 83.2%.
For the verification of the Dur1 sample (Wang et al 2018), a total of five images (Image11–Image15) were
used, with manual identifications ranging from 23 to 31. The OpenCV cascade classifier had an average
Precision of 83.7%, an average Recall of 80.6%, and an average F1-Score of 81.7%. The TensorFlow Object
Detection API based on the Faster R-CNN algorithm had an average Precision of 99.1%, an average Recall of
91.9%, and an average F1-Score of 95.3%.
For the verification of the Dur2 sample (Mcdowell et al 2005), a total of ten images (Image16–Image25)
were used, with manual identifications ranging from 23 to 45. The OpenCV cascade classifier had an average
Precision of 69.7%, an average Recall of 76.2%, and an average F1-Score of 72.5%. The TensorFlow Object
Detection API based on the Faster R-CNN algorithm had an average Precision of 91.0%, an average Recall of
91.4%, and an average F1-Score of 91.1%.
For the apatite fission tracks tested using the OpenCV cascade classifier, the average Precision was 75.9%,
the average Recall was 76.4%, and the average F1-Score was 75.7%. On the other hand, the TensorFlow
Object Detection API, based on the Faster R-CNN algorithm, recorded an average Precision of 94.4%, Recall
of 84.9%, and F1-Score of 88.8%.
Figures 5 and 6 show the results of the sample OpenCV cascade classifier based on LBP and the
TensorFlow Object Detection API based on the Faster R-CNN algorithm, respectively.
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Z Ren et al
Figure 5. Image 9, image 13, and image 23 are identified by the OpenCV cascade classifier.
5. Discussion
5.1. Experimental discussion
From the experimental results table (table 5), it can be seen that the average accuracy of Precision, Recall, and
F1-Score using the OpenCV cascade classifier based on LBP is above 75%. And it can be found that almost all
of the test images show fission track recognition errors, and the number of recognition errors is high
compared to that of using the TensorFlow Object Detection API. On the whole, the overall average accuracy
rate of the Recall of the verified samples is higher than the overall average accuracy rate. This shows that there
are more identified fission tracks than unidentified ones.
In the experimental results (table 6), the TensorFlow Object Detection API based on the Faster R-CNN
algorithm achieves an average accuracy of over 84% for Precision, Recall, and F1-Score. It outperforms the
OpenCV cascade classifier approach in terms of average Precision, with a value close to 95%. However, the
overall average Precision is higher than the overall average Recall, indicating that more fission tracks are not
identified compared to the misidentified ones.
From the experimental results table, it can be observed that the average Precision, Recall, and F1-Score
accuracy of both methods is higher for the Dur1 sample than for the Qi and Dur2 samples. This is due to the
lower background interference in the training images and fewer overlapping fission tracks in the Dur1
sample. The average Precision accuracy of both methods for the Dur1 and Qi samples is higher than the
average Recall accuracy, indicating that there are more unidentified fission tracks than misidentified ones. In
contrast, for the Dur2 sample, the average Precision accuracy is lower than the average Recall accuracy,
meaning that there are more misidentified fission tracks than unidentified ones.
9
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Z Ren et al
Figure 6. Image 10, image 12, and image 18 are identified by tensorflow object detection API.
The results of Precision, Recall, and F1-Score, depicted in the graphs (figure 7), demonstrate that the
TensorFlow Object Detection API, based on the Faster R-CNN algorithm, outperforms the OpenCV cascade
classifier based on LBP. The average accuracy of Precision, Recall, and F1-Score for the TensorFlow Object
Detection API is higher, proving its superior performance in recognizing apatite fission tracks compared to
the OpenCV cascade classifier.
The results of both methods are based on trained data. By drawing Precision–Recall Curve (figure 8), the
TensorFlow Object Detection API method has a more comprehensive algorithm and feature analysis,
resulting in a higher accuracy rate in recognizing apatite fission tracks with many overlapping tracks,
inconspicuous features, and short tracks.
The OpenCV cascade classifier, on the other hand, has a certain accuracy in dealing with scattered, single,
and well-defined fission tracks. Both methods can automatically identify apatite fission tracks. The OpenCV
cascade classifier has the advantage of being easy to set up and faster in training speed, but its accuracy may
be low in complex situations due to its algorithmic limitations.
5.2. Advantages and disadvantages
From the data result table and experimental result chart of the two aforementioned experimental methods, it
is evident that the average accuracy of Precision, Recall, and F1-Score achieved through the utilization of
TensorFlow Object Detection API exceeds 84%. On the other hand, the average accuracy of Precision, Recall,
and F1-Score obtained by employing the OpenCV cascade classifier surpasses 75%. While most fission tracks
can be successfully identified, the identification efficiency requires enhancement when compared to other
studies on intelligent identification of apatite fission tracks. There are still numerous instances of both
non-identification and misidentification, indicating a lack of effective handling of overlapping fission tracks.
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Z Ren et al
Figure 7. TensorFlow object detection API and OpenCV cascade classifier Precision (A), Recall (B), F1-Score (C) result. P1–P25
are the test images 1–25.
Figure 8. Precision–recall curve of tensorflow object detection API.
In addition to the aforementioned issues, the two methods employed in this experiment offer certain
advantages when compared to other existing studies on apatite fission track. Notably, both methods are
characterized by their convenience of use. The TensorFlow Object Detection API boasts a comprehensive
framework that allows for the utilization of various target detection models without necessitating extensive
parameter adjustments. On the other hand, the OpenCV cascade classifier stands out due to its simple model
configuration, short training duration, and minimal environmental requirements, setting it apart from
alternative approaches.
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Z Ren et al
Figure 9. Fission track and scratch (1 is scratch and 2 is fission track).
5.3. Problems encountered in the experiment
Compared to other intelligent research on apatite fission track, the two methods employed in this study
exhibit lower recognition efficiency. The specific reasons for this are summarized as follows: (1). the number
of training data samples is small compared to the amount of training data in most experiments. (2). Some of
the training data samples have poor picture quality and many overlapping fission tracks. (3). The data
samples have many background interference, which affects the recognition process.
Firstly, the limited number of training data samples used in this experiment contributes to the insufficient
diversity of the objectives. Additionally, the quality of the training data samples, which were captured
through microscopy, is partially dependent on the accuracy of the experimental equipment. This can lead to
inaccuracies in the pre-processing marking. To address these issues, we recommend increasing the sample
size of the training data, improving the quality of the training data, and adjusting the model parameters.
Secondly, during the verification process with fission track images, it is common to come across
overlapping tracks, which greatly affects the object identification statistics. Although simple overlapping
tracks can still be identified, a large number of overlapping tracks in some samples make some tracks
unidentifiable. This presents the biggest challenge so far. Even manual recognition of overlapping track
statistics is difficult. However, our study reveals that the overlapping track portion is not predominant.
Hence, we suggest combining machine recognition with human recognition, enabling human recognition to
correct machine recognition results to improve experiment accuracy.
Finally, background interference in the test sample can also negatively impact the accuracy of fission
track recognition. In some cases, ‘noise’ on the etched surface of apatite, such as defects and scratches, can
interfere with track identification (figure 9). This makes it challenging to differentiate and identify fission
tracks. Our solution to this issue is to minimize the interference factors in the sample through manual
elimination during the pre-processing stage of the training data.
6. Conclusions
The study presented in this paper employed two machine learning methods for fission track identification,
with the following main conclusions:
(1) Results from the experiments revealed that the TensorFlow Object Detection API outperforms the
OpenCV cascade classifier in terms of fission track recognition. The API had an average Precision of
94.4%, Recall of 84.9%, and F1-Score of 88.8%, while the cascade classifier had an average Precision of
75.9%, Recall of 76.4%, and F1-Score of 75.7%.
(2) The experiments encountered three challenges: a small number of training data samples with low
quality, high levels of overlapping fission tracks, and high background interference in the samples. The
solutions proposed were: increasing the number and quality of training data, combining machine
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Z Ren et al
recognition with manual recognition, and manually eliminating background interference factors during
sample pre-processing.
(3) In terms of ease of operation, the OpenCV cascade classifier environment is simpler and more
convenient to build and operate compared to the TensorFlow Object Detection API. However, the API
offers better integrity, allowing for monitoring of the entire training session.
(4) The two target detection methods explored in this study offer the potential for wider use in the geology
field. For instance, in rock research, target detection can aid in identifying rock types. Additionally, in
the study of geological structures, utilizing target detection can assist in locating significant geological
features such as fracture zones or volcanic craters through remote sensing images. To fully utilize the
capabilities of deep learning in traditional geology, it is crucial to adopt a technically savvy approach and
effectively integrate multiple methods to maximize their potential in furthering the development of
geology.
Data availability statement
All data that support the findings of this study are included within the article (and any supplementary files).
Acknowledgments
This study was financially supported by the National Natural Science Foundation of China (Grant No.
41872234) and Science and Technology Research Project of Jilin Provincial Education Department (Grant
No. JJKH20241255KJ). We are grateful to Professor An Yin for help, comments, and discussions on an earlier
version of the manuscript. Thank you also to the all anonymous reviewers for their key comments on the
revision of the manuscript.
Conflict of interest
The authors declare that they have no known competing financial interests or personal relationships that
could have appeared to influence the work reported in this paper.
ORCID iD
Shichao Li https://orcid.org/0000-0003-3928-2132
References
Abbey A L and Niemi N A 2018 Low-temperature thermochronometric constraints on fault initiation and growth in the northern Rio
Grande rift, upper Arkansas River valley, Colorado, USA Geology 46 627–30
Al-Azzo F, Taqi A M and Milanova M 2018 Human related-health actions detection using android camera based on tensorflow object
detection API Int. J. Adv. Comput. Sci. Appl. 9 9–23
Baraboshkin E E, Ismailova L S, Orlov D M, Zhukovskaya E A, Kalmykov G A, Khotylev O V, Baraboshkin E Y and Koroteev D A 2020
Deep convolutions for in-depth automated rock typing Comput. Geosci. 135 104330
Bonilla A, Franco J A, Cramer T, Poujol M, Cogné N, Nachtergaele S and de Grave J 2020 Apatite LA-ICP-MS U–Pb and fission-track
geochronology of the Ca˜no Viejita gabbro in E-Colombia: evidence for Grenvillian intraplate rifting and Jurassic exhumation in
the NW Amazonian Craton J. South Am. Earth Sci. 98 102438
Chakurian A, Arehart G, Donelick R, Zhang X and Reiners P 2003 Timing constraints of gold mineralization along the Carlin trend
utilizing apatite fission-track, 40Ar/39Ar, and apatite (U-Th)/He methods Econ. Geol. 98 1159–71
Chen J, Wang Q, Qiao L, Liu X and Zhang Q 2020 Cretaceous exhumation history of the southwestern South China Block: constraints
from fission-track thermochronology Geol. J. 55 6718–31
de Lima R P, Duarte D, Nicholson C, Slatt R and Marfurt K J 2020 Petrographic microfacies classification with deep convolutional
neural networks Comput. Geosci. 142 104481
Emmel B, Kumar R, Jacobs J, Ueda K, Van Zuilen M and Matola R 2014 The low-temperature thermochronological record of
sedimentary rocks from the central Rovuma Basin (N Mozambique)—constraints on provenance and thermal history Gondwana
Res. 25 1216–29
Fleischer R L, Price P, Walker R and Leakey L 1965 Fission-track dating of Bed I, Olduvai Gorge Science 148 72–74
Fleming S W, Watson J R, Ellenson A, Cannon A J and Vesselinov V C 2021 Machine learning in Earth and environmental science
requires education and research policy reforms Nat. Geosci. 14 878–80
Girshick R 2015 Fast r-CNN Proc. IEEE Int. Conf. on Computer Vision pp 1440–48
Gleadow A J, Duddy I, Green P F and Lovering J 1986 Confined fission track lengths in apatite: a diagnostic tool for thermal history
analysis Contrib. Mineral. Petrol. 94 405–15
Gleadow A J, Gleadow S J, Belton D X, Kohn B P, Krochmal M S and Brown R W 2009 Coincidence mapping-a key strategy for the
automatic counting of fission tracks in natural minerals Geol. Soc. 324 25–36
Green P, Duddy I, Laslett G, Hegarty K, Gleadow A W and Lovering J 1989 Thermal annealing of fission tracks in apatite 4. Quantitative
modelling techniques and extension to geological timescales Chem. Geol. (Isot. Geosci. Sect.) 79 155–82
13
Mach. Learn.: Sci. Technol. 4 (2023) 045039
Z Ren et al
Grist A M and Zentilli M 2003 Post-Paleocene cooling in the southern Canadian Atlantic region: evidence from apatite fission track
models Can. J. Earth Sci. 40 1279–97
He P, Song C, Wang Y, Meng Q, Chen L, Yao L, Huang R, Feng W and Chen S 2018 Cenozoic deformation history of the Qilian Shan
(Northeastern Tibetan Plateau) constrained by detrital apatite fission-track thermochronology in the northeastern Qaidam Basin
Tectonophysics 749 1–11
Hurford A J and Green P F 1983 The zeta age calibration of fission-track dating Chem. Geol. 41 285–317
Ioffe S and Szegedy C 2015 Batch normalization: accelerating deep network training by reducing internal covariate shift
(arXiv:1502.03167)
Laslett G, Green P F, Duddy I and Gleadow A 1987 Thermal annealing of fission tracks in apatite 2. A quantitative analysis Chem. Geol.
(Isot. Geosci. Sect.) 65 1–13
Li R, Xu Z, Su C and Yang R 2022 Automatic identification of semi-tracks on apatite and mica using a deep learning method Comput.
Geosci. 162 105081
Li Z, Meier M A, Hauksson E, Zhan Z and Andrews J 2018 Machine learning seismic wave discrimination: application to earthquake
early warning Geophys. Res. Lett. 45 4773–9
Mcdowell F W, Mcintosh W C and Farley K A 2005 A precise 40Ar–39Ar reference age for the Durango apatite (U–Th)/He and
fission-track dating standard Chem. Geol. 214 249–63
Nachtergaele S and Grave J D 2021 AI-Track-tive: open-source software for automated recognition and counting of surface semi-tracks
using computer vision (artificial intelligence) Geochronology 3 383–94
Ojala T, Pietikäinen M and Harwood D 1996 A comparative study of texture measures with classification based on featured distributions
Pattern Recognit. 29 51–59
Ojala T, Pietikäinen M and Mäenpää T 2000 Gray scale and rotation invariant texture classification with local binary patterns Computer
Vision—ECCV 2000 (Springer) pp 404–20
Petford N, Miller J A and Briggs J 1993 The automated counting of fission tracks in an external detector by image analysis Comput.
Geosci. 19 585–91
Price P B and Walker R M 1962 Chemical etching of charged-particle tracks in solids J. Appl. Phys. 33 3407–12
Recanati A, Grozavu N, Bennani Y, Gautheron C and Missenard Y 2021 Apatite (U-Th-Sm)/He date dispersion: first insights from
machine learning algorithms Earth Planet. Sci. Lett. 554 116655
Ren S, He K, Ross G and Sun J 2017 Faster R-CNN: towards real-time object detection with region proposal networks IEEE Trans.
Pattern Anal. Mach. Intell. 39 1137–49
Roden-Tice M K and Wintsch R P 2002 Early Cretaceous normal faulting in southern New England: evidence from apatite and zircon
fission-track ages J. Geol. 110 159–78
Ruiz G, Seward D and Winkler W 2004 Detrital thermochronology–a new perspective on hinterland tectonics, an example from the
Andean Amazon Basin, Ecuador Basin Res. 16 413–30
Silk E and Barnes R 1959 Examination of fission fragment tracks with an electron microscope Phil. Mag. 4 970–2
Vermeesch P and Tian Y 2014 Thermal history modelling: HeFTy vs QTQt. Earth-Sci. Rev. 139 279–90
Vrolijk P, Donelick R A, Queng J, Cloos M, Larson R and Lancelot Y 1992 Testing models of fission track annealing in apatite in a simple
thermal setting: site 800, leg 129 Proc. Ocean Drilling Program, Scientific Results (Citeseer) pp 169–176
Wang H, Li S, Zhang L, Sheldrick T C, Liu F, Zhao Z, Yang X and Wang Y 2023 Exhumation history of the greater Khingan mountains
(NE China) since the late Mesozoic: implications for the tectonic regime change of Northeast Asia Lithosphere 2023
Wang Y, Zheng J and Zheng Y 2018 Mesozoic-Cenozoic exhumation history of the Qimen Tagh Range, northeastern margins of the
Tibetan Plateau: evidence from apatite fission track analysis Gondwana Res. 58 16–26
Xu Z, Ma W, Lin P, Shi H, Pan D and Liu T 2021 Deep learning of rock images for intelligent lithology identification Comput. Geosci.
154 104799
Zhang W, Ching J, Goh A T C and Leung A Y F 2021 Big data and machine learning in geoscience and geoengineering: introduction
Geosci. Front. 12 327–9
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10.1186_s12875-019-0972-1.pdf
|
Availability of data and materials
Table 1 provides a list of the 26 included papers and Additional file 1 shows
the database search strategy.
|
Availability of data and materials Table 1 provides a list of the 26 included papers and Additional file 1 shows the database search strategy.
|
Wadsworth et al. BMC Family Practice (2019) 20:97
https://doi.org/10.1186/s12875-019-0972-1
R E S E A R C H A R T I C L E
Open Access
Shared medical appointments and patient-
centered experience: a mixed-methods
systematic review
Kim H. Wadsworth1*
Adam S. Hoverman3
, Trevor G. Archibald1, Allison E. Payne1, Anita K. Cleary1, Byron L. Haney1,2 and
Abstract
Background: Shared medical appointments (SMAs), or group visits, are a healthcare delivery method with the
potential to improve chronic disease management and preventive care. In this review, we sought to better
understand opportunities, barriers, and limitations to SMAs based on patient experience in the primary care context.
Methods: An experienced biomedical librarian conducted literature searches of PubMed, Cochrane Library, PsycINFO,
CINAHL, Web of Science, ClinicalTrials.gov, and SSRN for peer-reviewed publications published 1997 or after. We
searched grey literature, nonempirical reports, social science publications, and citations from published systematic
reviews. The search yielded 1359 papers, including qualitative, quantitative, and mixed method studies. Categorization
of the extracted data informed a thematic synthesis. We did not perform a formal meta-analysis.
Results: Screening and quality assessment yielded 13 quantitative controlled trials, 11 qualitative papers, and two
mixed methods studies that met inclusion criteria. We identified three consistent models of care: cooperative health
care clinic (five articles), shared medical appointment / group visit (10 articles) and group prenatal care /
CenteringPregnancy® (11 articles).
Conclusions: SMAs in a variety of formats are increasingly employed in primary care settings, with no singular gold
standard. Accepting and implementing this nontraditional approach by both patients and clinicians can yield
measurable improvements in patient trust, patient perception of quality of care and quality of life, and relevant
biophysical measurements of clinical parameters. Further refinement of this healthcare delivery model will be best
driven by standardizing measures of patient satisfaction and clinical outcomes.
Keywords: Shared medical appointment, Group visit, Cooperative health care clinic, Group prenatal care, Patient
satisfaction, Patient experience, Health services, Primary care, Primary health care, Coproduction
Background
Shared medical appointments (SMAs), or group visits, are
a healthcare delivery innovation arising from the changing
demands of patient-centered medical home (PCMH) set-
tings and the primary care context. The model emphasizes
prompt access and improved service, increased doctor-
patient contact time, greater patient education, enhanced
prevention and disease self-management, closer attention
to routine health maintenance and performance measures,
* Correspondence: kim_ha@stanfordalumni.org
1Pacific Northwest University of Health Sciences, College of Osteopathic
Medicine, Yakima, WA, USA
Full list of author information is available at the end of the article
and the central role of patient and clinician experience
within the Triple Aim: enhancing patient experience, im-
proving population health, and reducing costs [1–3]. More
recently, Bodenheimer and Sinsky recommended that “the
Triple Aim be expanded to a Quadruple Aim, adding the
goal of improving the work life of health care providers,
including clinicians and staff [4].”
We chose SMA as the overarching term to encompass
shared visit, group appointment, group medical appoint-
ment, group visit (GV), group medical clinic, shared in-
group medical appointment, group prenatal care (GPNC)
and group-based antenatal care. SMAs prioritize the deliv-
ery of care within interprofessional environments utilizing
© The Author(s). 2019 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0
International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and
reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to
the Creative Commons license, and indicate if changes were made. The Creative Commons Public Domain Dedication waiver
(http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.
Wadsworth et al. BMC Family Practice (2019) 20:97
Page 2 of 13
peer-to-peer interactions [5]. Multiple standardized SMA
delivery models have been established, from the drop-in
group medical appointment, cooperative health care clinic
(CHCC) and physicals shared medical appointment, to
CenteringPregnancy®
(CP) and parenting visits [3, 6].
These visits frequently emphasize the “coproduction” roles
of patients as experts in their own circumstances and
health professionals as facilitators rather than fixers, thus
fostering a shared experience of illness and health to bet-
ter inform, empower, and support [2].
SMAs have garnered a body of evidence in chronic
disease management and preventive care. The various
interpretations of the group clinical model have been ap-
plied to a wide array of settings and a myriad of health
promotion and disease-focused visits, including patients
with diabetes, hypertension, congestive heart
failure,
chronic lung disease, asthma, arthritis, stroke, kidney
disease, cancer, hearing impairment, and prenatal care,
among other conditions [7–15].
Several systematic reviews summarize the effects of
SMAs on healthcare delivery, economic factors, and bio-
physical outcomes. Health systems have begun to em-
brace the need for this transformative approach in
achieving patient goals [2, 16–18]. In an era recognizing
the role of patient-centeredness in improving healthcare
quality, numerous authors have highlighted the need for
a review that addresses the impacts of SMAs on patient
experience of care [3, 7, 16, 17, 19]. This review aims to
meet this need by examining the patient experience from
the published literature alongside an assessment of
SMAs to improve biophysical outcomes in the adult pri-
mary care setting.
Analyzing the existing body of evidence for shared
medical appointments, we sought to understand the op-
portunities, barriers, and limitations to SMAs based on
self-reported patient experience, a notable component of
the Triple Aim [2]. Specifically, our goal was to highlight
effective approaches for patients participating in SMAs
and determinants of effectiveness.
Methods
librarian conducted pre-
An experienced biomedical
planned literature searches of PubMed, Cochrane Li-
brary, PsycINFO, Cumulative Index of Nursing and
Allied Health Literature (CINAHL), Web of Science,
ClinicalTrials.gov, and Social Science Research Network
(SSRN) for peer-reviewed publications, using controlled
vocabulary, keywords, and text words (see Additional file
1 for search strategy details). The search was limited to
publications from 1997 or after. We also searched grey
literature, non-empirical reports, social science publica-
tions, and citations from published systematic reviews.
The search yielded 1359 papers,
including qualitative,
quantitative, and mixed-methods studies. Case studies,
pilot/feasibility studies, protocols, opinions, or advocacy
articles were excluded. Eligibility criteria and methods of
analysis were specified a priori.
Two researchers independently reviewed citation titles,
abstracts, and full-text articles to determine eligibility as
well as extracted the data and performed quality and risk
of bias assessment on included articles, as detailed below.
Before general use, we pilot-tested the abstraction form
templates on a sample of included articles and then re-
vised accordingly to ensure that all relevant data elements
were captured. Disagreements were resolved by consensus
of the two reviewers or by obtaining a third investigator’s
opinion when consensus could not be reached.
Studies were required to meet five process (p) and out-
come (o) criteria: clinical intervention (o), clinician-led
visit (p), patient experience of care (o), primary care (p),
and availability of individual clinical consultation (p), as
detailed below. Studies were excluded if any participants
were < 18 years of age. To limit potential bias, we ex-
cluded studies involving addiction medicine, substance
dependence / rehabilitation treatment, inpatient settings
(both short and long term) or chronic care clinics that
implemented multiple interventions, and SMAs requir-
ing management by a specialist.
We deemed SMAs to be clinician led if led by an inde-
pendent licensed prescriber or clinician. This included
medical doctors (MDs), doctors of osteopathy (DOs), ad-
vanced registered nurse practitioners (ARNPs), certified
nurse midwives (CNMs), and in some regions, nurse
practitioners (NPs). We verified prescriptive authority
and care responsibility by consulting organizational web-
sites from the countries in which our identified studies
were conducted [20–22].
Our review emphasized biophysical metrics of adult pa-
tients in primary care environments. The study team in-
cluded articles focused on SMAs that implemented a
clinical intervention, such as vital sign measurements, lab
checks (e.g., hemoglobin A1c, lipid panels), medication ad-
justments, or physical exams. We excluded studies if the
intervention was limited to patient education, facilitation,
peer-facilitated support groups, or group talk therapy.
We tracked confounders within targeted studies, such
as participant inclusion/exclusion criteria, local barriers
to implementation, reimbursement framework, types of
SMA interventions, and patient characteristics including
language, culture, and socioeconomic status.
In our consideration of quantitative research, we in-
cluded only those studies with a comparative control
group. Studies with quantitative primary outcomes were
evaluated using the modified Jadad score, which assesses
the overall quality of the individual studies, including risk
of bias, and has shown high inter-rater reliability [23–26].
To evaluate qualitative studies, our team used the
“Trustworthiness of Qualitative Inquiry” framework to
Wadsworth et al. BMC Family Practice (2019) 20:97
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assess credibility, transferability, dependability, and ob-
jectivity [27].
Inter-rater reliability was assessed during the data ex-
traction phase via two-way mixed measures intraclass cor-
relation (ICC) value for average agreement presented [28].
In consideration of ENTREQ and PRISMA frameworks
for this mixed-methods systematic review, categorization
of the extracted data informed a thematic synthesis [29–
32]. We did not perform a formal meta-analysis.
Results
Thirteen quantitative controlled trials, 11 qualitative pa-
pers, and two mixed methods studies met inclusion cri-
teria. Three models were identified: CHCC (five articles),
SMA / GV (10 articles) and GPNC / CP (11 articles).
Figure 1 shows the Preferred Reporting Items for Sys-
tematic Reviews and Meta-Analyses (PRISMA) flowchart
for all included studies [32].
Summary of included studies
SMA / GV is the most frequently mentioned model
in quantitative studies whereas the GPNC / CP model
is the most common in qualitative studies in this re-
is the least represented in
view. The CHCC model
this review (Table 1).
Table 2 breaks down the included articles into locale,
healthcare system, reimbursement model, study design,
single site or multiple sites, and study duration.
Table 3 provides details of the typical configuration of
the three models included in this review: CHCC, SMA /
GV, and GPNC / CP. Generally, CHCC has a larger group
size compared to SMA / GV and GPNC / CP. Physician-
led intervention teams were cited in most SMA / GV
studies, whereas certified nurse midwives were most often
cited as leaders of the GPNC / CP visits.
Per inclusion criteria, all 26 articles reported patient
satisfaction and experience (Table 4). Only one article
reported outcomes for all four aims [8].
Patient experience and satisfaction
Methodologies for tracking patient experience and satis-
faction were grouped by data collection method into the
following five categories: One-on-One Interviews (via tele-
phone or in person), Focus Group Style Interviews, Self-
Efficacy / Participation / Satisfaction Questionnaires,
Diabetes-Related Quality of Life (DQoL) Related Scales;
and Primary Care Assessment Tool / Trust in Provider
Outcomes (Table 5).
When comparing the results of the patient experience
/ satisfaction data in these 26 articles, the following six
Citations identified through
database searches
(n = 1537)
Citations identified through
grey literature searches
(n = 22)
Additional citations identified
through bibliography sources
(n = 73)
Citations available for
initial screening
(n = 1632)
Titles and abstracts screened,
after duplicates removed
(n = 1359)
Full-text articles assessed for
eligibility
(n = 299)
Citations included in mixed-
methods systematic review
(n = 26)
Citations excluded at
title / abstract level
(n = 1060)
Full-text articles
excluded, with reasons
(n = 273)
Quantitative articles
(n = 13)
Qualitative articles
(n = 11)
Mixed methods articles
(n = 2)
Fig. 1 The PRISMA flowchart for all included studies
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Table 1 List of 26 included articles in the primary care setting,
categorized by model of group clinic and study type
Model:
CHCC
SMA / GV
GPNC / CP
Quantitative (13 articles)
X
X
X
X
X
Beck, 1997
Clancy, 2007
Jafari F, 2010
Junling, 2015
Kennedy, 2011
Naik, 2011
Scott, 2004
Tandon, 2013
Trento, 2001
Trento, 2002
Trento, 2004
Trento, 2005
Trento, 2010
Qualitative (11 articles)
Andersson, 2012
Andersson, 2013
Capello, 2008
Clancy, 2003
Herrman, 2012
Kennedy, 2009
McDonald, 2014
McNeil, 2012
Novick, 2011
Raballo, 2012
Wong, 2015
Mixed-methods (2 articles)
Heberlein, 2016
Krzywkowski-Mohn,2008
Total no. of articles (26)
5
X
X
X
X
X
X
X
X
X
X
10
X
X
X
X
X
X
X
X
X
X
X
11
Abbreviations: CHCC Cooperative health care clinic, CP CenteringPregnancy®,
GPNC Group prenatal care, GV Group visit, SMA Shared medical appointment
major themes emerged (also see Additional file 2 for
more details).
Patient-clinician dynamic
Overall, data on the patient-clinician dynamic that
emerged during SMAs were positive. SMAs saw quantita-
tive advantages over individual visits in domains ranging
from improved communication to overall satisfaction with
the visit [7, 15, 33]. In SMA environments, more time was
allotted to discuss healthcare issues with the clinician
compared to traditional individual visits, and physicians
were perceived as less hurried [7, 14]. One study indicated
that SMA experiences resulted in markedly enhanced
trust in one’s primary care physician [33].
Qualitative feedback similarly supported the patient-
clinician dynamic as a notable aspect of SMAs. Inter-
views with CP patients indicated that extra time with cli-
nicians helped them to develop strong, supportive, and
positive relationships with their healthcare clinicians,
and reduced anxiety about potentially not being familiar
with the practitioner who would oversee their obstetric
deliveries [9–11, 34].
Feedback from patients indicated that room for further
improvement of the patient-clinician dynamic in SMAs
lies in the avoidance of a paternalistic, didactic style of
communication from the clinician leader [12]. Patients
appreciated being empowered by their clinicians and
preferred a more encouraging and empowering commu-
nication style within their groups.
Overall quality of care
Multiple studies demonstrated that patients participating
in SMAs were significantly more satisfied with their care
than those in individual models of care [7, 13–15].
When compared to patients receiving traditional individ-
ual care, those participating in SMAs were more likely
to describe their overall quality of care as excellent, to
feel that their care was meeting all their needs, and to
feel that their care was well coordinated [8, 35]. No
studies showed significant decreases in patient percep-
tions of quality of care in SMAs.
Overall quality of care was not a direct theme ex-
tracted from qualitative investigations of SMAs. How-
interviews from Herrman’s research on the CP
ever,
program revealed that “multiparous women frequently
commented that [SMAs were] far superior to their pre-
vious experiences” [11].
Quality of life
Trento’s research thoroughly addressed the theme of
quality of life, using a modified version of the Diabetes
Quality of Life Measure (DQoL) questionnaire consisting
of 39 questions ranked along a 5-point Likert scale. This
assessment scale was used across all five of Trento’s arti-
cles, and demonstrated consistent results over 10 years
of varied research on SMAs for patients with Diabetes
Mellitus, Type 2 (T2DM). In all five of Trento’s studies
discussed in this paper, DQoL scores significantly im-
proved among group participants while worsening or
remaining the same in control subjects [36–40].
Sense of community
Patients in multiple studies reported that the feeling that
they were not alone in their experience was central to
the positive impact of SMAs and persisted whether the
subject of the SMA was pregnancy, navigation of the VA
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Table 2 Characteristics of included studies in the primary care setting
Study characteristics
No. of studies, by medical condition
N studies (participants)
Diabetes
10 (1881)
Country
United States
Canada
Europe (Italy, Sweden)
Middle East (Iran)
Asia (China)
Healthcare system
Govt (VA, FQHC, NHS, PHD)
Private (HMO, MCO)
University-affiliated clinic
Healthcare payment model
Public (Medicaid, Medicare, govt funded)
Private (fee-for-service, managed care)
Uninsured /underinsured
Study design
Randomized controlled trial
Non-randomized controlled trial
Observational / interviews / focus groups
Mixed methods
Sites
Single
Multisite
Study duration
< 6 months
6 months
7 to 11 months
12 to 18 months
24 months
> 2 years
4 (426)
0
6 (1455)
0
0
3 (362)
1 (120)
6 (1399)
8 (1575)
0
2 (306)
9 (1848)
0
1 (33)
0
9 (1066)
1 (815)
1 (87)
1 (120)
0
2(219)
3 (1169)
3 (286)
HTN
2 (1262)
1 (58)
0
0
0
1 (1204)
2 (1262)
0
0
2 (1262)
0
0
1 (1204)
0
1 (58)
0
1 (58)
1 (1204)
1 (1204)
1 (58)
0
0
0
0
MCC
3 (645)
2 (616)
1 (29)
0
0
0
1 (29)
2 (616)
0
3 (645)
0
0
2 (616)
0
1 (29)
0
1 (321)
2 (324)
0
0
0
2 (350)
1 (295)
0
Pregnancy
11 (2010)
6 (926)
2 (21)
2 (435)
1 (628)
0
8 (1908)
3 (102)
0
8 (1908)
3 (102)
0
4 (1591)
1 (268)
5 (122)
1 (29)
4 (84)
7 (1926)
0
0
11 (2010)
0
0
0
Abbreviations: FQHC Federally qualified health center, HMO Health maintenance organization, HTN Hypertension, MCC Multiple chronic conditions, MCO Managed
care organization, NHS National health service, PHD Public health district, VA Veterans Administration
system, or hypertension [6, 10, 12, 33, 41–44]. Creation
of community via SMAs supported patients’ emotional
health by providing validation and stemming the isola-
tion often experienced when managing chronic condi-
tions. This sense of community was viewed as a benefit,
though one study referenced a member who reported
that at times she avoided discussion of “disturbing topics
for fear that it would negatively impact her cohort” [34].
Patient empowerment / role in healthcare
This body of research suggests that a strength of SMAs
over usual care is the ability to engage and empower pa-
tients as active participants in their own healthcare. This
empowerment bore out in both qualitative and quantita-
tive research participants. Quantitatively, patients reported
that they were more able to participate in their care and
had significant improvements on scales of Coping Skills
and Health Distress as compared to their counterparts
[13, 14, 43]. In the realm of qualitative analyses, it was de-
scribed that patients felt they were better able to interpret
their medical data, thus making them more likely to dis-
cuss their issues with their clinicians [42]. Within the CP
model, patients reported feeling “reassured, prepared, less
anxious, and confident,” and they felt that the group ses-
sions made them more proactive with respect to their
own health [9]. Raballo’s research also indicated that after
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Table 3 Typical configuration of group models, as represented by included studies in the primary care setting
Model
(no. of
articles)
CHCC
(5)
Duration
of each
group
session
90–
120 min
Duration of individual
consultation
5–10 min each at end of
group session
Group
size
6–20
SMA /
GV(10)
60–
90 min
Optional 10 mins each or 24
mins total allotted at end of
group session
5–15
GPNC /
CPa(11)
90–
120 min
10 mins each at beginning
of group session
8–12
Clinical intervention
Nonclinical
components
Intervention team
Disciplines (no. of articles) Size
Vital signs
Lab results review and
medical records update
Medication management
Preventive measures
Scheduling
Medical-related paperwork
requested by pts
Brief 1:1 visits with physician,
as necessary
Vital signs
Lab results review and
medical records update
Routine lab test orders
1:1 indiv consultation with
physician, as necessary
Health risk assessment
Medication management
Referrals, coordination of
public health services
Vital signs
Physical exam
Routine prenatal screening
and labs
Routine ultrasound
Flu vaccine (seasonal)
Postpartum visit
Individual assessments prior
to prenatal care within
group setting
Socialization
Health education
Group cohesion
Orientation and
socialization
Interactive health
education
Group cohesion
Self-monitoring
Group discussion
Medication
compliance
Group discussion,
self-care, skills-
building
Active tracking of
pregnancy changes
(done by pts)
Tour of birth unit,
labor and delivery
nurse
Pediatric care
resources
Postpartum reunion
2–5
2–7
PCP (5)
Nurse, RN or diabetes
nurse educator (5)
Clinical pharmacist (2)
PT, OT (2)
Dietitian (2)
Community health
worker (1)
1–2 physicians (9)
Nurse, NP, RN (2)
Diabetes educator/ RD (4)
Clin psychologist,
psychopedagogist (3)
1–2 postgraduate med
students (1)
Others (2)
2 +
others
invited
1–2 CNMs (8)
NP (3)
Medical asst (3)
Physician (2)
Health / perinatal
educator (1)
Others (1)
Abbreviations: CHCC Cooperative health care clinic, CNM Certified nurse midwife, CP CenteringPregnancy®, GPNC Group prenatal care, GV Group visit, NP Nurse
practitioner, OT Occupational therapist, PCP Primary care physician, PT Physical therapist, RD Registered dietitian, RN Registered nurse, SMA Shared medical
appointment
aWk 5–10: First visit w/ nurse. Wk 10–12: First visit with clinician. Wk 12–16: Start CP program
experiencing SMAs, patients were significantly more likely
to describe an internal locus of control for their health
than those followed by usual care [45].
communication between clinicians, decreased waiting times,
increased opportunities for learning throughout their visits,
and improved administrative support [41, 42, 46].
Access / efficiency
Several articles also establish benefits of SMAs with respect
to access and efficiency. Quantitatively, participants re-
ported that appointments were easily scheduled “as soon as
[they liked]” and were more likely to report that visit waiting
time was acceptable [8, 14]. Qualitatively, patients described
experiencing “more comprehensive services,” smoother
Biophysical outcomes
Less than half of the included articles reported biophys-
ical outcomes by health condition—either diabetes
mellitus (DM) or hypertension (HTN)—as summarized
in Table 6 [36–40, 42, 43, 45, 47, 48]. These studies
claimed significant and non-significant improvements in
biophysical metrics; however, heterogeneity of study
Table 4 Quadruple aim reported in included studies
Model (no. of
articles)
CHCC (5)
SMA / GV (10)
GPNC / CP (11)
No. of articles
Patient experience
Population health
5
10
11
2
1
3
Cost
2
1
0
Clinician experience
3
3
1
Abbreviations: CHCC Cooperative health care clinic, CP CenteringPregnancy®, GPNC Group prenatal care, GV Group visit, SMA Shared medical appointment
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Table 5 Methods used to collect patient experience data
Method
1:1 phone or in-person interviewsa
Focus group style interviewsa
Self-efficacy / participation / satisfaction questionnaires
Diabetes-related quality of life scales (DQoL)
Primary care assessment tool & trust in clinician outcomes
Total:
aAndersson 2012 is double coded as it included both 1:1 and group interviews
No. of articles
10
3
6
6
2
27
populations, methods and outcomes did not allow data
across studies to be combined and analyzed.
(one article)
This data subset was categorized into quantitative
(seven articles), qualitative (two articles), and mixed
to include additional
studies
methods
details (Table 7). Eight articles had a control comparator
of usual care while two articles (one qualitative study
and one mixed methods study) only compared pre- and
post-group intervention. Only one article utilized the
CHCC model while the remaining nine articles were
SMAs / GVs. From the ten studies included in this sub-
set, the reported biophysical profile data varied, keeping
with previous systematic reviews on SMAs by Booth et
al. and Edelman et al. [17, 18].
Barriers to implementation
Few studies addressed barriers, as shown in Additional
file 3. Prior reviews by Edelman et al., Booth et al., and
Jones et al. cite several barriers to implementation of
SMAs overall,
including patient participation and at-
tendance, group dynamic incompatibilities, cost-benefit
concerns, and staff/facilities inadequacies [16, 17, 49].
Prior studies cited poor attendance at SMAs [7, 13,
33]. In tracking attendance and patient-centered out-
comes through different group visit formats, durations
and patient populations, a great variation of attendance
rates was found, as shown in Additional file 4.
Inter-rater reliability
As shown in Additional file 5, the ICC(2,k) inter-rater
reliability values are 0.956 for Jadad-modified score of
quantitative studies, 0.923 for trustworthiness score of
qualitative studies, and indeterminable for mixed method
studies due to sample size of n = 2 studies. Values greater
than 0.90 indicate excellent reliability [28].
Table 6 Overview of biophysical data from available studies, categorized by health condition (no. of articles = 10)
HbA1c FBG Lipids
BP
BMI Body
First author,
year
Diabetes
X HDL, TG
X HDL
X HDL, TG
X TC, HDL,
TG
X TC, LDL,
HDL, TG
X TC, HDL,
TG
X LDL
X
X
X
Trento, 2001
Trento, 2002
Trento, 2004
Trento, 2005
Trento, 2010
Naik, 2011
X
X
X
X
X
X
Raballo, 2012 X
Krzywkowski-
Mohn, 2008
X
Hypertension
Junling, 2015
Capello, 2008
wt
X
X
X
X
X
X
X
X
X
X
X
X
X
SBP
X
X
X
CV
risk
DM Rx
dosage
Kidney Eye
Foot
Physical activity
X
X
X retinopathy
X insulin
X Cr
X ACR
X Cr
X foot
ulcers
X retinal
exam
X foot exam
X
Abbreviations: ACR Albumin/Creatinine ratio, BMI Body mass index, BP Blood pressure, Cr Creatinine, CV Cardiovascular, DM Diabetes mellitus, FBG Fasting blood
glucose, HbA1c Glycated hemoglobin, HDL High-density lipoprotein, LDL Low-density lipoprotein, Rx Prescription, SBP Systolic blood pressure, TC Total cholesterol,
TG Triglycerides
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Table 7 Biophysical data from available studies, categorized by research type (no. of articles = 10)
First author,
year
Quantitative
Model
Health
cond(s)
Sample
size (n)
Biophysical
measures
Reported findings (with p-values)
Junling, 2015 CHCC
HTN
600 group,
604 control
● BP
● BMI
SBP decreased significantly in both group (p < 0.001) and control (p =
0.001) from baseline to follow-up, although decreases in group >
control.
● Physical activity
DBP decreased significantly in group (p = 0.001) but did not decrease
significantly in control.
Trento, 2001
SMA / GV T2DM
56 group, 56 control ● HbA1c
● BMI
● HDL
● Fasting TG
Trento, 2002
SMA / GV T2DM
56 group, 56 control ● Dosage of anti-
hyperglycemic
agents
● Body wt, BP
and CV risk
● Metabolic
control:
- HbA1c
- BMI
- HDL
- Retinopathy
BMI did not change in both.
Increases in physical activity in group (p < 0.001) more remarkable
than in control.
HbA1c stable in group, worsened in control (p < 0.002).
Tendency toward lower BMI in group (p = 0.06).
HDL cholesterol initially similar in both but later lower in group only
(p < 0.05).
Trend toward lower TG in group (p = 0.053).
Dosage of hypoglycemic agents decreased (p < 0.001) among group
compared to control.
Body wt (p < 0.001) and BMI (p < 0.001) decreased in group but not
in control.
Similar reductions in BP and CV risk in group vs control, but diff
significant only for DBP (p < 0.001).
Significant decrease in HbA1c (p < 0.001) in group.
HDL increased (p < 0.001) in group but not in control. Retinopathy
progressed less in group (p = 0.009).
Trento, 2004
SMA / GV T2DM
(NIDDM)
56 group, 56 control ● HbA1c
● BMI
● HDL, TG
● Cr
HbA1c remained stable in group but progressively increased among
control (p < 0.001).
BMI, HDL, TG and Cr improved over 5 yrs. in group, but not
significantly different from control.
Trento, 2005
SMA / GV T2DM
31 group, 31 control ● HbA1c
HbA1c decreased in both, though not significantly.
Trento, 2010
SMA / GV T2DM
(NIDDM)
421 group, 394
control
TC decreased in controls (p < 0.05), while HDL increased in group
(p = 0.027).
No significant modifications in other clinical variables monitored
(body wt, BMI, FBG, insulin dosage, TG, ACR, foot ulcers).
FBG, HbA1c, TC, TG, LDL cholesterol, SBP, DBP, and BMI decreased in
group from baseline to year 4 compared to control (p < 0.001, for all
measures).
HDL increased in group (p < 0.001).
Cr did not change significantly in group.
BMI, HbA1c, TG, and Cr increased in control, whereas total, HDL, and
LDL cholesterol and SBP did not change and DBP decreased.
● Lipids (TC, HDL,
TG)
● Body wt, BMI
● FBG
● Insulin dosage
● ACR
● Foot ulcers
● FBG
● HbA1c
● TC, LDL, HDL,
TG
● BP
● BMI
● Cr
Naik, 2011
SMA / GV T2DM
45 group, 42 control ● HbA1c
● SBP
● BMI
Significantly greater improvements in HbA1c immediately following
active Intervention and persisted at 1-year follow-up (p = 0.05).
SBP and BMI were only reported at baseline, but not significantly
different between both.
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Table 7 Biophysical data from available studies, categorized by research type (no. of articles = 10) (Continued)
First author,
year
Qualitative
Reported findings (with p-values)
Biophysical
measures
Sample
size (n)
Health
cond(s)
Model
Capello,
2008
SMA / GV HTN
58 group (no
control)
Raballo, 2012 SMA / GV T1DM,
T2DM
121 group, 121
control
Mixed Methods
Krzywkowski-
Mohn, 2008
SMA / GV T2DM
33 group (no
control)
● BP
Significant effects on SBP and DBP (p < 0.01).
● HbA1c
● Lipids (TC, HDL,
TG)
● FBG
● BMI
HbA1c lower in T1DM group than in control (p = 0.001) and not
significantly so in T2DM (NS).
Lower HDL in T1DM control (p = 0.002), but no other significant
differences among both.
Lower HbA1c after group intervention (p < 0.05).
Diabetic clinical
indicators:
● HbA1c
● LDL
● BP
● Retinal exam Increase in diabetic eye exams.
● Foot exam
Lower LDL after 18 mos (p < 0.05).
No significant diff. in SBP or DBP after 18 mos.
No diff in diabetic foot exams (96.9% pre + post).
Abbreviations: ACR Albumin/Creatinine ratio, BMI Body mass index, BP Blood pressure, Cr Creatinine, CV Cardiovascular, DBP Diastolic blood pressure, FBG Fasting
blood glucose, HbA1c Glycated hemoglobin, HDL High density lipoprotein, HTN Hypertension, LDL Low density lipoprotein, NIDDM Non-insulin dependent
diabetes mellitus, SBP Systolic blood pressure, T1DM Diabetes mellitus, type 1, T2DM Diabetes mellitus, type 2, TC Total cholesterol, TG Triglycerides
Discussion
This review limited SMA models to three general cat-
egories: cooperative health care clinic, shared medical
appointment / group visit, and group prenatal care /
the focus on group
CenteringPregnancy®. To meet
in-
intervention, we considered visits
clinical
cluded the following clinical components: review of
labs, medication management, physical examination,
or other medical
interventions. From a strength of
evidence perspective, 16 of the studies reflected a ran-
domized controlled design and one non-randomized
controlled design. The remaining nine studies were
cohort and case study designs, with a median study
duration of 12 months.
that
As SMAs are generalizable to primary care environ-
ments, we prioritized reviews that included Internal
Medicine, Obstetrics/Gynecology, Family Medicine,
and Psychiatry. Though non-clinician-led SMAs have
been applied in myriad ways in primary care settings,
such as group-based acupuncture clinics, group psy-
chotherapy for post-traumatic stress disorder and
group interventions for disabled adults, we excluded
them to evaluate SMAs as a variation of clinician-led
primary care.
To the best of our knowledge, our current review up-
dates the evidence base to date and provides a necessary
segue to patient-oriented outcomes. In the spirit of the
Triple Aim, SMAs uniquely enhance patient-centered
experience, thus we limited our review to settings that
provide individual primary care consultation alongside
the group visit. Individual consultation provides a re-
served space for private concerns. This is an important
distinction as privacy concerns have been a prominent
drawback of the model identified by prior research [13,
15, 34]. We prioritized this element, recognizing the
trust it fosters in the patient-clinician relationship.
Summary of findings
In sum, designing, promoting, and running SMAs from
tested and proven formats proves to be vital for implemen-
tation. Model and content fidelity demonstrate significant
outcome improvement, most notably in the prenatal care
and birth outcomes through the CenteringPregnancy®
group process. Standardized training also improves facilita-
tion of group care. Therefore, clinicians learning to facilitate
group care are encouraged to receive training in facilitative
leadership with emphasis on the role that a participatory at-
mosphere has in improving outcomes [50].
Several models describe a physical design component to
enhance the effect on patient experience or group process
[3, 42, 51]. Some studies use displayed patient biophysical
data for comparison and a visual aid for decision-making.
Patient seating design has also been identified as a driver,
both circular and U-shaped formats. Krzywokwski-Mohn
stipulates that SMAs occur with participants seated around
a circular conference table, with no one at the “head of the
table,” balancing power and significantly influencing SMA
participant outcomes [42].
Additionally,
the emergence of
the patient-centered
medical home motivates improvement in patient educa-
tion, experience of care, and measurable outcomes
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Page 10 of 13
without increasing clinical workload [3]. The interprofes-
sional team plays a prominent role in SMAs across the lit-
erature, including nurses, nutritionists, NPs, pharmacists,
physical therapists, PAs, primary healthcare coordinators
and nurse midwives [7, 8, 14, 34, 52]. Despite these reallo-
cation of tasks, roles, and resources, SMAs demonstrate
efficacy and feasibility across a wide range of healthcare
systems [39, 53].
Despite SMAs objectively providing patients more time
with their clinicians, the degree to which this affects satis-
faction is unknown and patient characteristics and outside
influences can affect satisfaction outcomes [7, 13, 49, 54].
Furthermore, evaluating and effectively responding to the
social determinants of health requires improved identifica-
tion of patient needs and outcomes assessment [55].
Nonetheless, our evaluation includes consideration of pa-
tient experience fundamental for evaluating health-related
quality of life, including disease-related health locus of
control, health behaviors, self-efficacy, and other measures
of patient perspective of care and quality of life.
Lastly, studies emphasizing biophysical outcomes re-
port statistically significant improvement in at least one
biophysical metric, yet are too heterogeneous to com-
pare across studies. Nonetheless, results are consistent
with other systematic reviews by Booth et al., Edelman
et al., and Jones et al. [17, 18, 49].
Limitations of review
Our inclusion criteria and focus on the primary care
context limited the number of articles that we evaluated
in this review, which may impact the generalizability of
our conclusions. Previous systematic reviews looked at a
broader number of articles, though their approach also
introduced more heterogeneity [17, 18, 49]. Single center
studies, representing the majority for our included arti-
cles on diabetes patients, may also limit generalizability.
We also note that half of our included articles for the
SMA / GV format were authored by the same researcher
[36–40]. Other previous reviews have mentioned the im-
possibility of blinding the participant and clinician / care
team. Given that trials of SMA interventions cannot be
designed in a traditional double-blinded manner, our
quality assessment scores for quantitative studies could
only receive a maximum of seven out of a total of eight
points on the modified Jadad score. However, a few
studies described minimizing performance bias by hav-
ing the same clinician and care team manage the same
intervention and control subjects and by measuring
outcomes blindly for the treatment group. Furthermore,
there may be sampling bias in nonrandomized con-
trolled trials as well as focus groups and interviews due
to the possibility that patients who are high frequency
attenders may self-select to be included in the interven-
subjects who have negative
tion group;
likewise,
experiences with SMAs may decline to be interviewed
or refuse to be randomized into the intervention group.
Moreover, information bias may have appeared due to
variation in attendance and/or completion of visits
within our sample.
Critiques exist concerning the evaluation of patient ex-
perience through patient satisfaction measures. Aside
from a lack of agreement on a converging definition of
“satisfaction,” there are methodological challenges in re-
liably and precisely measuring and interpreting percep-
tions of the healthcare environment (survey content,
mode and timing of survey administration, bias, con-
founding, need for post-hoc adjustment, and subjective
nature of interpersonal experiences,
including patient-
clinician communication as a unique dimension of qual-
ity). Despite these challenges, patient experience has a
meaningful role in quality improvement discussions and
determination of perceived quality and sense of commu-
nity [56].
Implications for practice, policy, and future research
Improved resilience and coping skills, in concert with pa-
tient agency and activation, are valuable outcomes of the
spectrum of SMAs [34]. The primary care environment is
an optimum setting to build the necessary trust, health lit-
eracy, and awareness of health beliefs required for suc-
cessful intersection with the broader healthcare system
[35, 38]. Honoring adult learning strategies often requires
nonclinical skill sets for interdisciplinary care clinicians
[38]; yet, few studies focused on interprofessional practice
despite widespread presence across differing SMA models.
SMAs emphasize patient empowerment through peer ac-
countability, socialization, and appreciation of local cul-
tural context as well as patients’ familiarity and comfort
with the setting [40, 43, 53]. Engaging group members in
the design of these SMAs can maximize responsiveness to
[43].
cultural context and acceptability of
GPNC / CP have demonstrated efficacy in increasing
health-related knowledge, social support, personal locus of
control, emotional care, and self-care [52, 57].
the model
In general, to improve quality and validity of report-
ing patient experience as well as improved reporting of
population health outcomes, we recommend longer
duration of follow up in each study setting. We also
recommend specific evaluation of team-based care, in-
cluding perspectives of administrators and supporting
clinical staff. As provision of healthcare is a service,
measures of quality should include assessment of the
extent to which patients and care teams reach a com-
mon understanding of treatment course and health out-
comes [2]. This intersection of shared well-being with
health improvement warrants further evaluation to
optimize healthcare delivery models, such as SMAs, to
achieve the quadruple aim.
Wadsworth et al. BMC Family Practice (2019) 20:97
Page 11 of 13
Conclusions
Shared medical appointments are increasingly employed
in primary care settings. This mixed-methods systematic
review concludes that accepting and implementing this
nontraditional approach by both patients and clinicians
can yield measurable improvements in patient trust, pa-
tient perception of quality of care and quality of life, and
relevant biophysical measurements of clinical parameters.
Compared to usual care, SMAs have a greater ability to
engage and empower patients as active participants in
their own healthcare while improving patient access and
healthcare efficiency. The cumulative benefits of SMAs
are most notable when implemented within a conducive
environment such as a PCMH.
No singular model of SMA best serves all settings.
Similarly, there does not appear to be a priority set of
their
outcome measures nor consistent means for
evaluation from our review. Our analysis indicates that
both quantitative and qualitative methods are equally
valid for evaluating patient experience. Further refine-
ment of this healthcare delivery model will benefit from
standardizing measures of patient satisfaction and clin-
ical outcomes.
Not surprisingly, critiques and cost-benefit concerns
remain. Demonstration of global payment models result-
ing in improved population health outcomes alongside
economies of scale may be essential for wider acceptance
of SMAs. We recommend further evaluation of the en-
ablers and barriers to advance SMA integration in pri-
mary care practice settings. We also recommend more
thorough and longitudinal evaluations to better describe
the consumer-minded approach for care delivery design
and responsiveness to the voice of the customer to
achieve the most efficient models possible.
Additional files
Additional file 1: Database search strategies (DOCX 27 kb)
Additional file 2: Description of data: Reported significant findings
related to patient experience and satisfaction, as reported in included
articles (DOCX 31 kb)
Additional file 3: Description of data: Barriers to implementation from
available studies (no. of articles = 8) (DOCX 28 kb)
Additional file 4: Description of data: SMA patient-centered variables vs.
attendance and outcomes (no. of articles = 26) (DOCX 40 kb)
Additional file 5: Inter-rater reliability of included articles using two-way
mixed measures intraclass correlation (ICC) value for average agreement
presented. (DOCX 29 kb)
Abbreviations
CHCC: Cooperative health care clinic; CP: CenteringPregnancy®;
DQoL: Diabetes-Related Quality of Life; GPNC: Group prenatal care;
GV: Group visit; PCMH: Patient centered medical home; SMA: Shared medical
appointment
Acknowledgments
The authors thank Mary Giovanini for her help with full-text citations; Drs.
Sean Cleary, MD, PhD, and Jennifer Best, MD, for their thorough edits of our
manuscript; Dr. William Elliott, MD, PhD, for his critical suggestions on quality
assessment of included articles; Dr. Bernadette Howlett, PhD, for her early in-
put on our research methodology; Dr. Michele McCarroll, PhD, Carla S. Case
and Anita Quintana, MA, for their kind assistance and support; and Tracy
Dana, MLS, and Sarah Safranek, MLIS, for reviewing our literature search
strategies.
Authors’ contributions
All listed authors significantly contributed to this project. KHW, AKC and ASH
developed the study protocol. KHW, TGA and ASH conducted the title and
abstract screening. KHW, TGA, AEP, and ASH conducted the full-text screen-
ing, data extraction, quality assessments, and data synthesis. BLH provided
the content expertise. AKC is the biomedical librarian who conducted the lit-
erature search and managed the citations. All authors had access to the data,
played a role in writing the manuscript, and read and approved the final
manuscript.
Funding
This project was made possible with a Mapping the Landscape, Journeying
Together grant from the Arnold P. Gold Foundation (APGF). The APGF did
not have any role in the design of the study, collection, analysis and
interpretation of data, nor writing the manuscript.
Availability of data and materials
Table 1 provides a list of the 26 included papers and Additional file 1 shows
the database search strategy.
Ethics approval and consent to participate
Not applicable.
Consent for publication
Not applicable.
Competing interests
The authors declared no potential conflicts of interest with respect to the
research, authorship, and/or publication of this article.
Author details
1Pacific Northwest University of Health Sciences, College of Osteopathic
Medicine, Yakima, WA, USA. 2Family Health Care of Ellensburg, Ellensburg,
WA, USA. 3Multnomah County Health Department, Oregon Health and
Science University–Portland State University School of Public Health,
Portland, OR, USA.
Received: 23 February 2018 Accepted: 31 May 2019
References
1.
Berwick DM, Nolan TW, Whittington J. The triple aim: care, health, and cost.
Health Aff Proj Hope. 2008;27:759–69.
Batalden M, Batalden P, Margolis P, Seid M, Armstrong G, Opipari-Arrigan L,
et al. Coproduction of healthcare service. BMJ Qual Saf. 2016;25:509–17.
Noffsinger EB. Group visits -- the “secret sauce” of the medical home. Med
Home News. 2013;5:1,6-8.
Bodenheimer T, Sinsky C. From triple to quadruple aim: care of the patient
requires care of the provider. Ann Fam Med. 2014;12:573–6.
Noffsinger EB. Running group visits in your practice. New York:
Springer; 2009.
Novick G. CenteringPregnancy and the current state of prenatal care. J
Midwifery Womens Health. 2004;49:405–11.
Scott JC, Conner DA, Venohr I, Gade G, McKenzie M, Kramer AM, et al.
Effectiveness of a group outpatient visit model for chronically ill older health
maintenance organization members: a 2-year randomized trial of the
cooperative health care clinic (structured abstract). J Am Geriatr Soc. 2004;52:
1463–70.
Beck A, Scott J, Williams P, Robertson B, Jackson D, Gade G, et al. A
randomized trial of group outpatient visits for chronically ill older HMO
2.
3.
4.
5.
6.
7.
8.
Wadsworth et al. BMC Family Practice (2019) 20:97
Page 12 of 13
9.
members: the cooperative Health care clinic. J Am Geriatr Soc. 1997;45:
543–9.
Heberlein EC, Picklesimer AH, Billings DL, Covington-Kolb S, Farber N,
Frongillo EA. Qualitative comparison of women’s perspectives on the
functions and benefits of group and individual prenatal care. J Midwifery
Womens Health. 2016;61:224–34.
10. McDonald SD, Sword W, Eryuzlu LE, Biringer AB. A qualitative descriptive study
of the group prenatal care experience: perceptions of women with low-risk
pregnancies and their midwives. BMC Pregnancy Childbirth. 2014;14:334.
11. Herrman JW, Rogers S, Ehrenthal DB. Women’s perceptions of centering
pregnancy: a focus group study. MCN Am J Matern Nurs. 2012;37:19–28.
14.
13.
12. Andersson E, Christensson K, Hildingsson I. Parents’ experiences and
perceptions of group-based antenatal care in four clinics in Sweden.
Midwifery. 2012;28:442–8.
Kennedy HP, Farrell T, Paden R, Hill S, Jolivet RR, Cooper BA, et al. A
randomized clinical trial of group prenatal care in two military settings. Mil
Med. 2011;176:1169–77.
Tandon SD, Cluxton-Keller F, Colon L, Vega P, Alonso A. Improved adequacy
of prenatal care and healthcare utilization among low-income Latinas
receiving group prenatal care. J Women's Health. 2013;22:1056–61.
Jafari F, Eftekhar H, Mohammad K, Fotouhi A. Does group prenatal care affect
satisfaction and prenatal care utilization in Iranian pregnant women? Iran J
Public Health. 2010;39:52–62.
Edelman D, McDuffie JR, Oddone E, Gierisch JM, Nagi A, Williams JWJ. Shared
medical appointments for chronic medical conditions: a systematic review.
Washington (DC): Department of Veterans Affairs (US); 2012. https://www.ncbi.
nlm.nih.gov/books/NBK99785/
15.
16.
17. Booth A, Cantrell A, Preston L, Chambers D, Goyder E. What is the evidence for
the effectiveness, appropriateness and feasibility of group clinics for patients with
chronic conditions? A systematic review. Southampton: NIHR Journals Library;
2015. http://www.ncbi.nlm.nih.gov/books/NBK333454/. Accessed 9 Feb 2016
Edelman D, Gierisch JM, McDuffie JR, Oddone E, Williams JW. Shared
medical appointments for patients with diabetes mellitus: a systematic
review. J Gen Intern Med. 2015;30:99–106.
18.
19. Berwick DM. What “patient-centered” should mean: confessions of an
extremist. Health Aff Proj Hope. 2009;28:w555–65.
20. Where Can Nurse Practitioners Work Without Physician Supervision? - Blog.
2016. https://onlinenursing.simmons.edu/nursing-blog/nurse-practitioners-
scope-of-practice-map/. Accessed 5 Feb 2017.
Survey of European Midwifery Regulators: Second Issue. 2010. http://www.
ordre-sages-femmes.fr/wp-content/uploads/2015/11/Etude-NEMIR-2010-EN.
pdf. Accessed 7 Feb 2017.
21.
22. CNM independent prescribing map | NCSBN. https://www.ncsbn.org/index.
23.
htm. Accessed 5 Feb 2017.
Jadad AR, Moore RA, Carroll D, Jenkinson C, Reynolds DJ, Gavaghan DJ, et
al. Assessing the quality of reports of randomized clinical trials: is blinding
necessary? Control Clin Trials. 1996;17:1–12.
24. Oremus M, Wolfson C, Perrault A, Demers L, Momoli F, Moride Y. Interrater
reliability of the modified Jadad quality scale for systematic reviews of
Alzheimer’s disease drug trials. Dement Geriatr Cogn Disord. 2001;12:232–6.
Johannsen M, Farver I, Beck N, Zachariae R. The efficacy of psychosocial
intervention for pain in breast cancer patients and survivors: a systematic
review and meta-analysis. Breast Cancer Res Treat. 2013;138:675–90.
25.
26. Greenland S. On the bias produced by quality scores in meta-analysis, and a
hierarchical view of proposed solutions. Biostatistics. 2001;2:463–71.
27. Howlett B, Rogo E, Shelton TG. Implementation and evaluation in evidence
based practice. In: Evidence based practice for Health professionals.
Burlington: Jones & Bartlett Publishers; 2013. p. 309–58.
Koo TK, Li MY. A guideline of selecting and reporting intraclass correlation
coefficients for reliability research. J Chiropr Med. 2016;15:155–63.
28.
29. Voils CI, Sandelowski M, Barroso J, Hasselblad V. Making sense of qualitative
and quantitative findings in mixed research synthesis studies. Field
Methods. 2008;20:3–25.
30. Creswell JW, Klassen AC, Plano Clark VL, Smith KC, For The Office of
Behavioral and Social Sciences Research. Best practices for mixed methods
research in the health sciences: National Institutes of Health; 2011. https://
obssr.od.nih.gov/training/online-training-resources/mixed-methods-
research/. Accessed 19 Oct 2015
Tong A, Flemming K, McInnes E, Oliver S, Craig J. Enhancing transparency in
reporting the synthesis of qualitative research: ENTREQ. BMC Med Res
Methodol. 2012;12:181.
31.
32. Moher D, Liberati A, Tetzlaff J, Altman DG. The PRISMA group. Preferred
reporting items for systematic reviews and meta-analyses: the PRISMA
statement. PLoS Med. 2009;6:e1000097.
33. Clancy DE, Cope DW, Magruder KM, Huang P, Salter KH, Fields AW. Evaluating
group visits in an uninsured or inadequately insured patient population with
uncontrolled type 2 diabetes. Diabetes Educ. 2003;29:292–302.
34. Novick G, Sadler LS, Kennedy HP, Cohen SS, Groce NE, Knafl KA. Women’s
experience of group prenatal care. Qual Health Res. 2011;21:97–116.
35. Clancy D, Yeager D, Huang P, Magruder K. Further evaluating the
36.
37.
38.
39.
40.
acceptability of group visits in an uninsured or inadequately insured
patient population with uncontrolled type 2 diabetes. Diabetes Educ.
2007;33:309–14.
Trento M, Passera P, Bajardi M, Tomalino M, Grassi G, Borgo E, et al. Lifestyle
intervention by group care prevents deterioration of type II diabetes: a 4-
year randomized controlled clinical trial. Diabetologia. 2002;45:1231–9.
Trento M, Passera P, Borgo E, Tomalino M, Bajardi M, Brescianini A, et al. A
3-year prospective randomized controlled clinical trial of group care in type
1 diabetes. Nutr Metab Cardiovasc Dis NMCD. 2005;15:293–301.
Trento M, Passera P, Tomalino M, Bajardi M, Pomero F, Allione A, et al.
Group visits improve metabolic control in type 2 diabetes - a 2-year follow-
up. Diabetes Care. 2001;24:995–1000.
Trento M, Gamba S, Gentile L, Grassi G, Miselli V, Morone G, et al. Rethink
organization to iMprove education and outcomes (ROMEO): a multicenter
randomized trial of lifestyle intervention by group care to manage type 2
diabetes. Diabetes Care. 2010;33:745–7.
Trento M, Passera P, Borgo E, Tomalino M, Bajardi M, Cavallo F, et al. A 5-
year randomized controlled study of learning, problem solving ability, and
quality of life modifications in people with type 2 diabetes managed by
group care. Diabetes Care. 2004;27:670–5.
42.
41. McNeil DA, Vekved M, Dolan SM, Siever J, Horn S, Tough SC. Getting more
than they realized they needed: a qualitative study of women’s experience
of group prenatal care. BMC Pregnancy Childbirth. 2012;12:17.
Krzywkowski-Mohn SM. Diabetic control and patient perception of the
scheduled in group medical appointment at the Cincinnati veterans
administration medical center: University of Cincinnati; 2008. https://etd.
ohiolink.edu/pg_10?0::NO:10:P10_ACCESSION_NUM:ucin1210103113.
Accessed 9 Aug 2016
Junling G, Yang L, Junming D, Pinpin Z, Hua F. Evaluation of group
visits for Chinese hypertensives based on primary health care center.
Asia-Pac J Public Health Asia-Pac Acad Consort Public Health. 2015;27:
NP350–60.
Kennedy HP, Farrell T, Paden R, Hill S, Jolivet R, Willetts J, et al. ‘I wasn’t
alone’--a study of group prenatal care in the military. J Midwifery Womens
Health. 2009;54:176–83.
43.
44.
45. Raballo M, Trevisan M, Trinetta AF, Charrier L, Cavallo F, Porta M, et al. A
study of patients’ perceptions of diabetes care delivery and diabetes:
propositional analysis in people with type 1 and 2 diabetes managed by
group or usual care. Diabetes Care. 2012;35:242–7.
46. Wong ST, Browne A, Lavoie J, Macleod MLP, Chongo M, Ulrich C.
Incorporating group medical visits into primary healthcare: are there
benefits? Healthc Policy Polit Santé. 2015;11:27–42.
47. Naik AD, Palmer N, Petersen NJ, Street RL, Rao R, Suarez-Almazor M, et al.
Comparative effectiveness of goal setting in diabetes mellitus group clinics:
randomized clinical trial. Arch Intern Med. 2011;171:453–9.
48. Capello J. An evaluation of the doctor interactive group medical
Appointment : assessing changes in health behaviors attributed to an
integrated healthcare model. 2008. https://repositories.lib.utexas.edu/
handle/2152/17781. Accessed 21 Jan 2016.
Jones KR, Kaewluang N, Lekhak N. Group visits for chronic illness
management: implementation challenges and recommendations. Nurs
Econ. 2014;32:118–34 147.
49.
50. Novick G, Reid AE, Lewis J, Kershaw TS, Rising SS, Ickovics JR. Group
prenatal care: model fidelity and outcomes. Am J Obstet Gynecol. 2013;
209:112.e1–6.
51. Northern Health. The group medical appointment manual first edition.
2007. http://www.hqontario.ca/Portals/0/documents/qi/learningcommunity/
roadmap%20resources/advanced%20access%20and%20efficiency/step%205/
pc-nha-group-medical-appointments-manual-en.pdf. Accessed 21 Jan 2016.
52. Andersson E, Christensson K, Hildingsson I. Mothers’ satisfaction with group
antenatal care versus individual antenatal care – a clinical trial. Sex Reprod
Healthc. 2013;4:113–20.
Wadsworth et al. BMC Family Practice (2019) 20:97
Page 13 of 13
53. Campbell BB, Shah S, Gosselin D. Success with Men’s educational group
appointments (MEGA): subjective improvements in patient education. Am J
Mens Health. 2009;3:173–8.
54. Aharony L, Strasser S. Patient satisfaction: what we know about and what
we still need to explore. Med Care Rev. 1993;50:49–79.
55. Asadi-Lari M, Tamburini M, Gray D. Patients’ needs, satisfaction, and health
related quality of life: towards a comprehensive model. Health Qual Life
Outcomes. 2004;2:32.
56. Manary MP, Boulding W, Staelin R, Glickman SW. The patient experience
and health outcomes. N Engl J Med. 2013;368:201–3.
57. Baldwin K, Phillips G. Voices along the journey: midwives’ perceptions of
implementing the CenteringPregnancy model of prenatal care. J Perinat
Educ. 2011;20:210–7.
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10.1186_s13059-023-02963-4.pdf
|
Availability of data and materials
The results published here are in part based upon data generated by the TCGA Research Network (https:// www. cancer.
gov/ tcga), METABRIC (https:// ega‑ archi ve. org/ studi es/ EGAS0 00000 00083), MSK‑IMPACT (https:// www. mskcc. org/ msk‑
impact) or deposited at cBioPortal (https:// www. cbiop ortal. org/). The following expression datasets from the Gene
Expression Omnibus (GEO, https:// www. ncbi. nlm. nih. gov/ geo/) have also been employed: GSE114012 [48], GSE131594
[45], GSE137912 [12], GSE152699 [49], GSE75367 [47], GSE83142 [46], GSE93991 [44], GSE134836 [13], GSE134838 [13],
GSE134839 [13], GSE124854 [93], GSE135215 [94], GSE99116 [93], GSE178839 [149], GSE149224 [100], GSE139944 [102],
GSE191127 [150], GSE109211 [151], GSE50509 [152], GSE65185 [153], GSE66399 [154], GSE68871 [155] and GSE99898
[156]. The GEO datasets employed in the analyses are summarised in Additional file 1: Tables S2 and S3.
All codes developed for the purpose of this study can be found at the following repository, released under a GNU Gen‑
eral Public License v3.0 at github: https:// github. com/ secri erlab/ Cance rG0Ar rest [157] and Zenodo (doi: 1
|
Availability of data and materials The results published here are in part based upon data generated by the TCGA Research Network ( https:// www. cancer. gov/ tcga ), METABRIC ( https:// ega-archi ve. org/ studi es/ EGAS0 00000 00083 ), MSK-IMPACT ( https:// www. mskcc. org/ msk- impact ) or deposited at cBioPortal ( https:// www. cbiop ortal. org/ ). The following expression datasets from the Gene Expression Omnibus (GEO, https:// www. ncbi. nlm. nih. gov/ geo/ ) have also been employed: GSE114012 [48] , GSE131594 [45] , GSE137912 [12] , GSE152699 [49] , GSE75367 [47] , GSE83142 [46] , GSE93991 [44] , GSE134836 [13] , GSE134838 [13] , GSE134839 [13] , GSE124854 [93] , GSE135215 [94] , GSE99116 [93] , GSE178839 [149], GSE149224 [100], GSE139944 [102], GSE191127 [150], GSE109211 [151], GSE50509 [152], GSE65185 [153], GSE66399 [154], GSE68871 [155] and GSE99898 [156]. The GEO datasets employed in the analyses are summarised in Additional file 1: Tables S2 and S3 . All codes developed for the purpose of this study can be found at the following repository, released under a GNU General Public License v3.0 at github: https:// github. com/ secri erlab/ Cance rG0Ar rest [157] and Zenodo (doi: 10. 5281/ zenodo. 78406 72 ) [158].
|
Wiecek et al. Genome Biology (2023) 24:128
https://doi.org/10.1186/s13059-023-02963-4
RESEARCH
Genome Biology
Open Access
Genomic hallmarks and therapeutic
implications of G0 cell cycle arrest in cancer
Anna J. Wiecek1, Stephen J. Cutty2, Daniel Kornai1, Mario Parreno‑Centeno1, Lucie E. Gourmet1,
Guidantonio Malagoli Tagliazucchi1, Daniel H. Jacobson1,3, Ping Zhang4, Lingyun Xiong4, Gareth L. Bond5,
Alexis R. Barr2,6 and Maria Secrier1*
*Correspondence:
m.secrier@ucl.ac.uk
1 UCL Genetics Institute,
Department of Genetics,
Evolution and Environment,
University College London,
London, UK
2 Institute of Clinical Sciences,
Faculty of Medicine, Imperial
College London, London, UK
3 UCL Cancer Institute, Paul
O’Gorman Building, University
College London, London, UK
4 Wellcome Centre for Human
Genetics, University of Oxford,
Oxford, UK
5 Institute of Cancer
and Genomic Sciences,
University of Birmingham,
Edgbaston, Birmingham, UK
6 Cell Cycle Control Team, MRC
London Institute of Medical
Sciences (LMS), London, UK
Abstract
Background: Therapy resistance in cancer is often driven by a subpopulation of cells
that are temporarily arrested in a non‑proliferative G0 state, which is difficult to capture
and whose mutational drivers remain largely unknown.
Results: We develop methodology to robustly identify this state from transcriptomic
signals and characterise its prevalence and genomic constraints in solid primary
tumours. We show that G0 arrest preferentially emerges in the context of more stable,
less mutated genomes which maintain TP53 integrity and lack the hallmarks of DNA
damage repair deficiency, while presenting increased APOBEC mutagenesis. We
employ machine learning to uncover novel genomic dependencies of this process and
validate the role of the centrosomal gene CEP89 as a modulator of proliferation and G0
arrest capacity. Lastly, we demonstrate that G0 arrest underlies unfavourable responses
to various therapies exploiting cell cycle, kinase signalling and epigenetic mechanisms
in single‑cell data.
Conclusions: We propose a G0 arrest transcriptional signature that is linked with
therapeutic resistance and can be used to further study and clinically track this state.
Keywords: Cell cycle arrest, G0, Cancer, Persister cells, Genomic dependencies,
Machine learning, Data integration, Bulk/single‑cell sequencing
Background
Tumour proliferation is one of the main hallmarks of cancer development [1] and has
been extensively studied. While most of the cells within the tumour have a high prolif-
erative capacity, occasionally under stress conditions, some cells will become arrested
temporarily in the G0 phase of the cell cycle, in a reversible state often referred to as
‘quiescence’, ‘dormancy’, ‘diapause-like’ or a potentially irreversible state called ‘senes-
cence’, where they maintain minimal basal activity [2–5]. It has been proposed that G0
arrest enables cells to become resistant to anti-cancer compounds that target actively
dividing cells, such as chemotherapy [5–7]. Moreover, a drug-tolerant ‘persister’ cell
© The Author(s) 2023. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits
use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original
author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third
party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the mate‑
rial. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or
exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://
creat iveco mmons. org/ licen ses/ by/4. 0/. The Creative Commons Public Domain Dedication waiver (http:// creat iveco mmons. org/ publi
cdoma in/ zero/1. 0/) applies to the data made available in this article, unless otherwise stated in a credit line to the data.
Wiecek et al. Genome Biology (2023) 24:128
Page 2 of 35
state represented by slow cycling, entirely quiescent or even senescent cells [4, 8–11]
has been observed in a variety of pre-existing or acquired resistance scenarios, also in
the context of targeted therapies [12, 13]. As neoplastic cells evolve, G0 arrest can also
be employed as a mechanism to facilitate immune evasion [14, 15] or adaptation to new
environmental niches during metastatic seeding [16, 17]. In the context of disseminated
tumour cells, these G0 cycle arrest states can facilitate minimal residual disease, a major
cause of relapse in the clinic [18].
Although G0 arrest is a widely conserved cellular state, essential for the normal devel-
opment and homeostasis of eukaryotes [2, 19], and has been extensively studied in a
variety of organisms including bacteria and yeast [20, 21], its role and different facets
in cancer are still poorly defined. Hampering our understanding is the fact that it rep-
resents a number of heterogeneous states [19, 22]. Canonically, cells can be forced into
G0 arrest through serum starvation, mitogen withdrawal or contact inhibition [19]. Cells
can also undergo G0 arrest spontaneously in response to cell-intrinsic factors like rep-
lication stress [23–25]. This process is controlled by p53 [26], which triggers the inhibi-
tion of cyclin-CDK complexes by activating p21 [24]. This in turn allows the assembly of
the DREAM complex—a key effector responsible for repression of cell-cycle-dependent
gene expression [27]. Min and Spencer [28] recently demonstrated a much broader sys-
temic coordination of 198 genes underlying distinct types of G0 arrest by profiling the
transcriptomes of cells that entered this state either spontaneously or upon different
stimuli. Additionally, proliferation-G0 decisions can be impacted by oncogenic changes
such as MYC amplification [29] or altered p38/ERK signalling [30].
Despite these advances, the identification of G0-arrested cells within tumours pre-
sents an ongoing challenge due to their scarcity and lack of universal, easily measura-
ble markers for the activation and maintenance of this state. As they are often defined
by a lack of proliferative markers [31, 32], different forms of G0 arrest such as quies-
cence, senescence, dormancy and (to a lesser extent) stemness might sometimes be used
interchangeably [4, 33]. Quiescent and dormant cells can readily resume their prolif-
erative state, senescent cells are irreversibly arrested [28] while cancer stem cells have
a high capacity for self-renewal and sit at the top of the differentiation hierarchy [34].
Even though the same cell cycle arrest programme underlies all of these states, they are
linked with distinct environmental stimuli and drive cancer progression and therapeu-
tic resistance in different ways [11, 12, 35, 36]. Increasing evidence from the literature
points towards the rapid adaptation of tumour cells to drug treatments being enabled
by a slow dividing or a quiescent state that persists for a short period of time before the
cells start reproliferating [37]. Thus, quiescence could more frequently be encountered at
the early stages of therapeutic resistance compared to other cell cycle arrest phenotypes,
although senescence and stemness are also often discussed in this context. Biomarkers
of cell cycle arrest and persistence that are sufficiently specific and robust to be clinically
useful are clearly needed.
Furthermore, our understanding of how cancer evolution is shaped by proliferation
and G0 arrest decisions is limited. The proliferative heterogeneity of cancer cell popula-
tions has been previously described and linked with FAK/AKT1 signalling [38], but the
constraints and consequences of these cell state switches have not been systematically
profiled across cancer tissues. The extent to which G0 arrest in cancer is enacted through
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transcriptional or genetic control is unknown [5, 39], and neither are the mutational
processes and genomic events modulating this state. Understanding the evolutionary
triggers and molecular mechanisms that enable cancer cells to enter and maintain G0
arrest would enable us to develop pharmacological strategies to selectively eradicate
these arrested cancer cells or prevent them from re-entering proliferative cycles.
To address these challenges, we have developed a new method to reliably quantify G0
arrest in cancer using transcriptomic data, and employed it to characterise this phenom-
enon in bulk and single-cell datasets from a variety of solid tumours. We describe the
spectrum of proliferation and G0 arrest decisions in primary tumours, which reflects a
range of stress adaptation mechanisms during the course of cancer development from
early to advanced disease. We identify and validate mutational constraints for the emer-
gence of G0 arrest, hinting at potential new therapeutic targets that could exploit this
mechanism. We also demonstrate the relevance of G0 arrest to responses to a range of
compounds targeting cell cycle, kinase signalling and epigenetic mechanisms in single-
cell datasets and propose an expression signature that could be employed to detect treat-
ment resistance induced by G0 arrested tumour cells.
Results
Evaluating G0 arrest in cancer from transcriptomic data
We hypothesised that primary tumours contain varying numbers of cells temporarily or
permanently arrested in the cell cycle, which reflect evolutionary adaptations to cellular
stress and may determine their ability to overcome antiproliferative therapies. To capture
this elusive phenotype, we developed a computational framework that would allow us
to quantify G0 arrest signals in bulk and single-cell sequenced cancer samples (Fig. 1a).
To define a signature of G0 arrest, we focused on genes that have been shown by Min
and Spencer [28] to be specifically activated or inactivated during quiescence that arises
spontaneously or as a response to serum starvation, contact inhibition, MEK inhibition
or CDK4/6 inhibition. The activity of 139 of these genes changed in a coordinated man-
ner across all these five distinct forms of quiescence, likely representing generic tran-
scriptional consequences of G0 arrest. The expression levels of these markers were used
to derive a score reflecting the relative abundance of G0 arrested cells within individual
tumours (see ‘Methods’, Additional file 1: Table S1).
(See figure on next page.)
Fig. 1 Methodology for quantifying G0 arrest in cancer. a Workflow for evaluating G0 arrest from RNA‑seq
data; 139 genes differentially expressed in multiple forms of quiescence were employed to score G0 arrest
across cancer tissues. b Receiver operating characteristic (ROC) curves illustrating the performance of
the Z‑score methodology on separating actively proliferating and G0 arrested cells in seven single‑cell
(continuous curves) and bulk RNA‑seq (dotted curves) datasets. AUC area under the curve. c Compared
classification accuracies of the G0 arrest Z‑score approach and classic cell proliferation markers across the
seven single‑cell/bulk RNA‑seq validation datasets. d G0 arrest levels of embryonic fibroblast cells under
serum starvation for various amounts of time. Replicates are depicted in the same colour. e Representative
images of lung cancer cell lines immunostained and analysed to detect the G0 arrest fraction. Hoechst
(labels all nuclei) is in blue, phospho‑Rb in green and EdU in red in the merged image. White dashed circles
highlight G0 arrested cells that are negative for both phospho‑Rb and EdU signals. Scale bar: 100 µm. f
Graphs show single‑cell quantification of phospho‑Rb and EdU intensities taken from images and used to
define the cut‑off to calculate the G0 arrest fraction (green boxes). Images in e and graphs in f are taken from
the A549 cell line. g–h Correlation between theoretical estimates of a G0 or G1 state and the fraction of cells
entering G0 arrest in nine lung adenocarcinoma cell lines, as assessed through g phospho‑Rb assays and h
3 is shown for the average percentage of G0 arrested cells
EdU assays. Mean of n
=
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Fig. 1 (See legend on previous page.)
To validate this signature and select the optimal method to score G0 arrest in indi-
vidual samples amongst different enrichment/rank-based scoring methodologies
[40–43], we used seven single-cell and bulk datasets [12, 44–49] where actively prolif-
erating and quiescent/dormant cells had been independently isolated and sequenced
(Additional file 1: Table S2, Methods). We tested the performance of our signature and
scoring methodology, as well as that of other commonly used gene signatures, in dis-
tinguishing between the truly quiescent/dormant and truly proliferating cells in these
seven datasets while varying the expression cut-offs for labelling cells as G0 arrested
or proliferating based on the respective signature. A combined Z-score approach had
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the highest accuracy in detecting signals of G0 arrest, with a 91% mean performance
in classifying cells as G0 arrested or cycling (Fig. 1b, Additional file 2: Fig. S1a-b).
Indeed, the individual cells that had been identified as arrested in G0 in the experi-
ments showed a significantly higher Z-score than the dividing cells across all data-
sets (Additional file 2: Fig. S1c). Our signature reflected an expected increase in p27
protein levels, which are elevated during G0 arrest [50] (Additional file 2: Fig. S1d).
It also outperformed classical cell cycle and arrest markers, such as the expression
of targets of the DREAM complex, CDK2, Ki67 and of mini-chromosome replication
maintenance (MCM) protein complex genes—which are involved in the initiation of
eukaryotic genome replication, as well as recently defined G1/S and G2/M signatures
[51] (Fig. 1c). Importantly, our approach provided a good separation between G0 and
proliferating samples across a variety of cancer types and models including cancer
cell lines, 3D organoid cultures, circulating tumour cells and patient-derived xeno-
grafts (Additional file 1: Table S2), thereby demonstrating its broad applicability. Fur-
thermore, the strength of the score appeared to reflect the duration of G0 arrest [52]
(Fig. 1d).
We further experimentally validated our methodology in nine lung adenocarci-
noma cell lines. We estimated the fraction of G0 cells in each of these cell lines using
quantitative, single-cell imaging of phospho-Ser807/811-Rb (phospho-Rb, which
labels proliferative cells [53]) and 24-h EdU proliferation assays (Fig. 1e–h). In these
assays, cells were pulse-labelled with the nucleotide analogue, EdU, for 24 h before
fixation and immunostaining. Only cells which have proliferated in the last 24 h will
be labelled by EdU. EdU-negative cells are classed as G0. Cells that were negative
for phospho-Rb were also defined as G0, and not G1, since they have not yet passed
the restriction point (phospho-Rb negative; see ‘Methods’, Fig. 1e–f ). This G0 frac-
tion was further validated in A549 and NCI-H1944 cells where endogenous PCNA
has been labelled with an mRuby fluorophore to enable tracking of cell cycle phase
lengths by live-cell imaging (Zerjatke et al. [54], ‘Methods’). By quantifying the G0/
G1 length in individual cells (i.e. time taken to enter S-phase after mitotic exit) over
a 48-h period, we could see that these cells were quiescent and not senescent (or in
deep quiescence), as all G0/G1 cells did eventually enter S-phase, albeit with variable
timing (Additional file 2: Fig. S1e).
There was a remarkably good correlation between our predicted G0 arrest levels based
on the expression of these cell lines from the Cancer Cell Line Encyclopedia (CCLE) and
the fraction of G0 cells in the experiment as assessed by lack of EdU incorporation over
a 24-h period (EdU incorporation only occurs during S phase) but particularly by lack
of Rb phosphorylation. Phosphorylation and inactivation of the retinoblastoma protein
is often used to define the boundary between G0 and G1 and was specifically shown
to distinguish the G0 state recently by Stallaert et al. [53]. Furthermore, a G1 signature
(see ‘Methods’) was not associated with these experimental measurements, suggesting
our method recovers a state more similar to G0 arrest rather than a prolonged G1 state
(Fig. 1g–h). The G0 arrest correlations appeared robust to random removal of individual
genes from the signature, with no single gene having an inordinate impact on the score
(Supplementary Fig. 1f-h). This provided further reassurance that our Z-score-based
methodology is successful in capturing G0 arrest signals from bulk tumour data.
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The spectrum of G0 arrest capacity in solid primary tumours
Having established a robust framework for quantifying G0 cell cycle arrest in cancer, we
next profiled 8005 primary tumour samples across 31 solid cancer tissues from The Can-
cer Genome Atlas (TCGA). After accounting for potential confounding signals of non-
cycling non-tumour cells from the microenvironment by correcting for tumour purity
(see ‘Methods’, Supplementary Fig. 1i-j), we observed an entire spectrum of fast prolif-
erating to slowly cycling tumours, with the latter presenting stronger G0-linked signals
(Fig. 2a). While we acknowledge that no tumour would be entirely quiescent/senescent
and we cannot identify individual G0 arrested cells within the tumour, this analysis does
capture a broad range of phenotypes reflecting varying proliferation and cell cycle arrest
rates, which suggests that G0 arrest is employed to different extents by tumours as an
adaptive mechanism to various extrinsic and intrinsic stress factors. Cancers known to
be frequently dormant, such as glioblastoma [6, 44], were amongst the highest ranked
in terms of G0 arrest levels, along with kidney and adrenocortical carcinomas (Fig. 2b).
This is likely explained by the innate proliferative capacity of the respective tissues.
Indeed, tissues with lower stem cell division rates presented a greater propensity for G0
arrest (Fig. 2c) [55].
Our score showed strong negative correlations with the expression of proliferation
markers (Fig. 2d), suggesting that it captures a cellular state that could potentially act
as a baseline for all major forms of cell cycle arrest, including quiescence, senescence,
stemness and clinical dormancy. Indeed, we found that our signature could to a certain
Fig. 2 Pan‑cancer evaluation of proliferative heterogeneity and linked tumour hallmarks. a PHATE plot
illustrating the wide spectrum of proliferative to slow cycling/arrested states across 8005 primary tumour
samples from TCGA. Each sample is coloured according to the relative G0 arrest level. b Variation in tumour
G0 arrest levels across different cancer tissues. c Correlation between mean G0 arrest capacity and stem cell
division estimates for various tissue types. d Correlating tumour G0 arrest scores with cancer cell stemness
(Stemness Index), telomerase activity (EXTEND score), p21 activity (CDKN1A) and the expression of several
commonly used proliferation markers. The Pearson correlation coefficient is displayed. RC replication
complex. e Consistently higher levels of G0 arrest are detected in samples with functional p53. f Lower G0
arrest scores are observed in tumours with one or two whole‑genome duplication events. Wilcoxon rank‑sum
test p‑values are displayed in boxplots, *p < 0.05; **p < 0.01; ***p < 0.001; ****p < 0.0001
Wiecek et al. Genome Biology (2023) 24:128
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extent also separate senescent cells from proliferating ones in single-cell data from Her-
nandez-Segura et al. [56], which is unsurprising since these cells are also in the G0 phase
(Additional file 2: Fig. S2a). Indeed, the authors of this resource highlight that some of
the pathways uncovered in these senescent cells may be shared with quiescence, which
is also backed up by a study from Fujimaki and Yao [57] suggesting similarities between
deep quiescence and senescence. Our score did not show strong correlations with other
markers of senescence such as the senescence-associated secretory phenotype (SASP)
and β-galactosidase activity [58–60] in single cells or TCGA samples (Fig. 2d, Supple-
mentary Fig. 2b-d), although we cannot exclude the possibility of a senescent state being
captured occasionally given that neither β-galactosidase nor the SASP are obligatory for
maintaining senescence [61]. However, the underpinning programme appears to be dis-
tinct from that of cancer stem cells, marked by signatures associated with high telomer-
ase activity and an undifferentiated state [62, 63] (Additional file 2: Fig. S2e-f ).
Lastly, we confirmed expected dependencies on the p53/p21/DREAM activation axis:
tumours that were proficient in TP53 or the components of the DREAM complex, as
well as those with higher p21 expression, had elevated G0 arrest levels across numerous
tissues (Fig. 2e, Supplementary Fig. 2g-h), although only 8 out of 139 genes in our signa-
ture are directly transcriptionally regulated by p53 [64]. Nevertheless, p53 proficiency
appears to be a non-obligatory dependency of G0 arrest, which is also observed to arise
in p53 mutant scenarios in 21% of cases. p53 has also been shown to play a role in pre-
venting the occurrence of larger structural events and polyploidy [65–67], potentially
explaining the lower G0 arrest levels we observed in tumours that had undergone whole-
genome duplication (Fig. 2f ).
The genomic background of G0 arrest in cancer
Cancer evolution is often driven by a variety of genomic events, ranging from single base
substitutions to larger scale copy number variation and rearrangements of genomic seg-
ments. It is reasonable to expect that certain mutations accumulated by the cancer cells
might enable a more proliferative phenotype, impairing the ability of cells to enter G0
arrest, or - on the contrary - might favour cell cycle exit as a temporary adaptive mecha-
nism to extreme levels of stress. Having obtained G0 arrest estimates for primary tumour
samples, we set out to identify potential genomic triggers or constraints that may shape
proliferation versus G0 arrest decisions in cancer. We identified 285 cancer driver genes
that were preferentially altered (via mutations or copy number alterations) either in slow
cycling or fast proliferating tumours (Fig. 3a). Reassuringly, this list included genes pre-
viously implicated in driving cell cycle exit decisions such as TP53 and MYC [26, 29]. We
also investigated associations with mutagenic footprints of carcinogens (termed ‘muta-
tional signatures’), which can be identified as trinucleotide substitution patterns in the
genome [68, 69]. Fifteen mutational signatures were linked with G0 arrest levels either
within individual cancer studies or pan-cancer (Additional file 2: Fig. S2i).
Following the initial prioritisation of putative genomic constraints of G0 arrest, we
employed machine learning to identify those events that could best distinguish slow
cycling tumours with higher abundance of G0 arrested cells from fast proliferating ones,
while accounting for tissue effects. An ensemble elastic net selection approach similar to
the one described by Pich et al. [70] was applied for this purpose (Fig. 3b, see ‘Methods’).
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Our pan-cancer model identified tissue type to be a major determinant of G0 arrest lev-
els (Additional file 2: Fig. S3a). It also uncovered a reduced set of 57 genomic events
linked with proliferation/G0 arrest switches, including SNVs and copy number losses in
17 cancer genes, as well as amplifications of 10 cancer genes (Fig. 3c). These events could
then be successfully employed to predict G0 arrest in a separate test dataset, thus inter-
nally validating our model (Additional file 2: Fig. S3b). Thus, while these events are not
necessarily causative, the link is strong enough to be identifying G0 arrest states from
genomic data alone. Such events may also pinpoint cellular vulnerabilities that could be
exploited therapeutically.
Overall, the genomic dependencies of G0 arrest mainly comprised genes involved in
cell cycle pathways, p53 regulation and ubiquitination (most likely of cell cycle targets),
and RUNX3 regulation, which have previously been shown to play a role in controlling
proliferation and cell cycle entry [71] (Additional file 2: Fig. S3c). Invariably, this analysis
has captured several events that are well known to promote cellular proliferation in can-
cer: this is expected and confirms the validity of our model. It was reassuring that a func-
tional TP53, lack of MYC amplification and lower mutation rates (Fig. 3c) were amongst
the top ranked characteristics of tumours with high levels of G0 arrest, which also dis-
played less aneuploidy. However, our analysis has also uncovered novel dependencies of
G0 arrest-proliferation decisions that have not been reported previously, such as CEP89
and LMNA amplifications observed in fast cycling tumours, or ZMYM2 deletions preva-
lent in samples with high levels of G0 arrest. ZMYM2 has recently been described as
a novel binding partner of B-MYB and has been shown to be important in facilitating
the G1/S cell cycle transition [72]. p16 (CDKN2A) deletions, one of the frequent early
events during cancer evolution [73, 74], were enriched in tumours with high proportions
of cells in G0. RB1 deletions and amplifications were both associated with a reduction in
G0 arrest, which might reflect the dual role of RB1 in regulating proliferation and apop-
tosis [75].
Our model also calls to attention to the broader mutational processes associated with
this cellular state. Such processes showed fairly weak and heterogeneous correlations
with G0 arrest within individual cancer tissues (Additional file 2: Fig. S2g), but their
contribution becomes substantially clearer pan-cancer once other genomic sources
(See figure on next page.)
Fig. 3 Genomic landscape of G0 arrest decisions in cancer. a Cancer drivers with mutations or copy number
alterations depleted pan‑cancer in a G0 arrest context. Features further selected by the pan‑cancer model
are highlighted. b Schematic of the ensemble elastic net modelling employed to prioritise genomic changes
associated with G0 arrest. c Genomic events significantly associated with G0 arrest, ranked according to their
importance in the model (highest to lowest). Each point depicts an individual tumour sample, coloured by
the value of the respective feature. For discrete variables, purple indicates the presence of the feature and
green its absence. The Shapley values indicate the impact of individual feature values on the G0 arrest score
prediction. d G0 arrest levels are significantly reduced in microsatellite unstable (MSI) samples in stomach
adenocarcinoma (STAD) and uterine corpus endometrial carcinoma (UCEC), with the same trend (albeit not
significant) shown in colon adenocarcinoma (COAD). Wilcoxon rank‑sum test *p < 0.05; **p < 0.01. e Genomic
alterations are depleted across DNA repair pathways during G0 arrest. Odds ratios of mutational load on
pathway in G0 arrest are depicted, along with confidence intervals. CS, chromosome segregation; p53, p53
pathway; UR, ubiquitylation response; CPF, checkpoint factors; TM, telomere maintenance; CR, chromatin
remodelling; TLS, translesion synthesis; NHEJ, non‑homologous end joining; NER, nucleotide excision repair;
MMR, mismatch repair; FA, Fanconi Anaemia; BER, base excision repair. f G0 arrest scores are increased in cell
lines with slow doubling time across MCF7 strains, which also show lower prevalence of PTEN mutations. g
Tissue‑specific changes in G0 arrest between samples with/without quiescence‑associated deletions (blue),
amplifications (red) and SNVs (brown) within the TCGA cohort (top) and external validation datasets (bottom)
Wiecek et al. Genome Biology (2023) 24:128
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Fig. 3 (See legend on previous page.)
are accounted for. In particular, we identified an association between G0 arrest and
mutagenesis induced by the AID/APOBEC family of cytosine deaminases as denoted by
signature SBS2 [68] (Fig. 3c). As highlighted by Mas-Ponte and Supek [76], APOBEC/
AID driven mutations tend to be directed towards early-replicating, gene-rich regions of
the genome, inducing deleterious events on several genes including ZMYM2, which our
pan-cancer model has linked with G0 arrest.
In turn, defective DNA mismatch repair, as evidenced by signatures SBS44, SBS20,
SBS15, SBS14 and SBS6 [68], was prevalent in fast cycling tumours (Fig. 3c). Mismatch
Wiecek et al. Genome Biology (2023) 24:128
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repair deficiencies lead to hypermutation in a phenomenon termed ‘microsatellite insta-
bility’ (MSI), which has been linked with increased immune evasion [77]. Cancers par-
ticularly prone to MSI include colon, stomach and endometrial carcinomas [78], where
this state was indeed linked with reduced G0 arrest (Fig. 3d). Furthermore, tumours
with high proportions of cells in G0 were depleted of alterations across all DNA damage
repair pathways (Fig. 3e).
Our measurements of G0 arrest also reflected expected cycling patterns across 27
MCF7 strains [79]: cell lines with longer doubling times exhibited increased G0 arrest
(Fig. 3f ). This coincided with a depletion of PTEN mutations, a dependency highlighted
by the pan-cancer model.
When checking for dependencies in individual cancer tissues, 24 out of the 25 genes
identified by the model were significantly associated with G0 arrest or proliferation deci-
sions in at least one tissue, most prominently in breast, lung and liver cancers which also
represent the largest studies within TCGA (Fig. 3g, top panel). Most of these genomic
insults were linked with a decrease in G0 arrest. In external validation datasets, these
associations, including deletions in PTEN and LRP1B or amplifications of MYC, CEP89
and ETV6, featured most prominently in the largest cohort of breast cancer samples
(Fig. 3g, bottom panel). These results highlight the fact that although a pan-cancer
approach is suited to capture genomic events that are universally associated with cell
cycle exit, certain genetic alterations may facilitate a higher or lower propensity of G0
arrest in a single tissue only.
Indeed, when building a tissue-specific breast cancer model of G0 arrest using a com-
bined ANOVA and random forest classification approach (Additional file 2: Fig. S4a),
we not only recovered the associations with the TP53, MYC, LMNA and ETV6 events
already seen in the pan-cancer model (Additional file 2: Fig. S4b) but also identified
additional events which validated in the METABRIC cohort and were also seen in sev-
eral other cancers, e.g. bladder, lung and lower grade glioma (Additional file 2: Fig. S4c).
Notably, the APOBEC mutational signature SBS2 was the strongest genomic signal
linked with G0 arrest in breast cancer (Supplementary Fig. 4b,d) and was most prevalent
in Her2+ tumours, although the Luminal A subtype showed the highest levels of G0
arrest overall, as expected given its well-known lower proliferative capacity [80] (Sup-
plementary Fig. 4e-f ).
Validation of CEP89 as a modulator of G0 arrest capacity
To gain more insight into the underlying biology of G0 arrest in cancer, we sought to
experimentally validate associations highlighted by the pan-cancer model. We focused
on the impact of CEP89 activity on proliferation/arrest decisions due to the high ranking
of this putative oncogene in the model, the relatively unexplored links between CEP89
and cell cycle control, as well as its negative association with G0 arrest across a variety
of cancer cell lines (Supplementary Fig. 5a-c). The function of CEP89 is not well char-
acterised; however, the encoded protein has been proposed to function as a centroso-
mal-associated protein [81, 82]. Centrosomes function as major microtubule-organising
centres in cells, playing a key role in mitotic spindle assembly [83] and the mitotic entry
checkpoint [84]. Moreover, centrosomes act as sites of ubiquitin-mediated proteolysis
of cell cycle targets [85], and members of several growth signalling pathways, such as
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Wnt and NF-kB, localise at these structures [86, 87]. Several genetic interactions have
also been reported between CEP89 and key cell cycle proteins, including cyclin D2 [88]
(Fig. 4a).
Our model linked CEP89 amplification with fast cycling tumours (Fig. 3c). Centro-
some amplification is a common feature of tumours with high proliferation rates and
high genomic instability [89], and overexpression of centrosomal proteins can alter cen-
triole structure [90, 91]. Indeed, CEP89 amplified tumours presented elevated expres-
sion of a previously reported centrosome amplification signature (CA20) [89] (Fig. 4b),
which was strongly anticorrelated with G0 arrest levels (Fig. 4c). Furthermore, CEP89
expression was prognostic across multiple cancer tissues (Fig. 4d) and linked with toxic-
ity of several cancer compounds in cell line models (Additional file 2: Fig. S5d).
Fig. 4 CEP89 amplification is associated with lower G0 arrest capacity. a Network illustrating CEP89
interactions with cell cycle genes (from GeneMania). The edge colour indicates the interaction type, with
green representing genetic interactions, orange representing predicted interactions and purple indicating
pathway interactions. The edge width illustrates the interaction weight. b CA20 scores are significantly
increased in TCGA primary tumours containing a CEP89 amplification. c Pan‑cancer relationship between
CA20 and G0 arrest scores across the TCGA cohort. d Cox proportional hazards analysis estimates of the log
hazards ratio for the impact of CEP89 expression on patient prognosis within individual cancer studies, after
adjusting for tumour stage. Patients with high expression of CEP89 show significantly worse prognosis within
ACC, LUSC, LIHC, KIRC and STAD, but significantly better prognosis within HNSC, PAAD and KIRP studies. e
Western blot showing depletion of Cep89 protein 48 h after siRNA transfection of NCI‑H1299 cells. Mock is
lipofectamine only; NTC is non‑targeting control siRNA. B‑actin is used as a loading control. f Graphs show
that Cep89 depletion in NCI‑H1299 cells leads to a reduction in nuclear number and an increase in the
fraction of G0 arrested cells, measured by an increase in the percentage of EdU negative (24 h EdU pulse) and
Phospho‑Ser 807/811 Rb negative cells. One‑way ANOVA, *p < 0.05, **p < 0.01. Mean of n
3
=
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We validated this target in the lung adenocarcinoma cell line NCI-H1299 showing
high levels of CEP89 amplification. Cep89 depletion via siRNA knockdown caused a
consistent decrease in cell number, in the absence of any detectable cell death, and an
increase in the fraction of G0 cells as measured by phospho-Rb and EdU assays (Fig. 4e–
f ). Thus, we propose CEP89 as a novel cell proliferation regulator that may be exploited
in certain scenarios to control tumour growth.
Characterisation of individual stress response programmes of G0 arrest
While we had previously examined a generic programme of G0 arrest, cancer cells can
enter this state due to different stimuli [19] and this may inform its aetiology and mani-
festation. To explore this, we re-scored tumours based on gene expression programmes
specific to serum starvation, contact inhibition, MEK inhibition, CDK4/6 inhibition or
spontaneously occurring quiescence as defined by Min and Spencer [28] (see ‘Methods’).
We observed a good correlation between our estimates representing individual stress
response programmes and the expression of genes associated with the corresponding
form of G0 arrest in the literature (Fig. 5a–e, Additional file 2: Fig. S6, see ‘Methods’).
Specifically, strong inverse correlations were seen between our CDK4/6 inhibition scores
and the mean expression of CDK4 and CDK6, or between our MEK inhibition scores
and the expression of genes involved in the MAPK pathway [92]. Spontaneous quies-
cence and serum starvation scores were most correlated with the activity of p21, or of
genes involved in the cellular response to starvation, respectively. The contact inhibition
programme was also captured, but with lesser specificity.
CDK4/6 inhibition-induced G0 arrest levels were further validated using exter-
nal RNA-seq datasets from cancer cell lines and xenograft mice sequenced before and
after treatment with the CDK4/6 inhibitor palbociclib [93, 94] (Fig. 5f, Additional file 1:
Table S3). The fact that the estimates for a generic G0 arrest phenotype were equally or,
in some cases, more discriminative of cells treated with palbociclib confirms the gener-
alisability of this score, which may be more broadly applicable to different tissues and/
or model systems, as shown previously in the single-cell validation data. The CDK4/6
inhibition scores outperformed all the other stress response subtype scores, suggesting
that a combination of individual programmes and the generic score might best identify
a specific stimulus driving G0 arrest. Interestingly, we also observed significant differ-
ences in spontaneous quiescence scores before and after treatment. Indeed, p21 activ-
ity has been linked with the palbociclib mechanism of action [95, 96], and this analysis
suggests potential similarities between CDK4/6 inhibition and p21-dependent G0 arrest
phenotypes.
Having validated our framework for quantifying stimulus-specific G0 arrest pro-
grammes, we proceeded to estimate the dominant form of stress that may induce cell
cycle arrest in different cancer types (Fig. 5g). We found a range of G0 arrest aetiolo-
gies across most tissues, while a minority of cancers were dominated by a single form
of stress response, e.g. serum starvation in all G0 arrested pheochromocytomas and
paragangliomas, contact inhibition in 88% of head and neck carcinomas and CDK4/6
inhibition in 80% of adrenocortical carcinomas. While we do not wish to claim that
the state of cell cycle arrest will have necessarily been induced by the actual pre-
dicted stimulus (impossible in the case of CDK4/6 or MEK inhibition, as the analysed
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Fig. 5 Pan‑cancer characterisation of individual G0 stress response programmes. a‑e Comparison of
correlation coefficients between stress response programme scores and a mean expression of CDK4 and
CDK6, b mean expression of curated contact inhibition genes, c a transcriptional MAPK Pathway Activity
Score (MPAS), d mean expression of curated serum starvation genes and e CDKN1A expression (encoding
for p21), across TCGA cancers. The correlations expected to be strongest (either negative or positive) are
denoted by an asterisk. The generic G0 arrest score refers to scores calculated using the original list of 139
genes differentially expressed across all 5 forms of G0 arrest. f Comparison of stress response programme
scores measured in cancer cell lines before (grey) and after (red) palbociclib treatment across three validation
studies. Datasets used for validation are denoted by their corresponding GEO series accession number. g
Predicted stress response diversity in samples with high levels of G0 arrest across individual cancer types. The
same colour legend as in a is applied. Grey bars represent the proportion of samples for which the G0 arrest
inducer could not be estimated
samples are all treatment-naïve), we suggest that the downstream signalling cascade
may resemble that triggered by such stimuli, e.g. via CDK4/6 or MEK loss of function
mutations.
Some of the differences observed might be explained by the dependency between
p53 activity and the form of stress response that is enacted. Amongst the five differ-
ent forms, spontaneous G0 arrest appeared most strongly dependent on p53 func-
tionality, with a nearly two-fold enrichment of p53 proficient tumours in this group
(Additional file 2: Fig. S6f ). Indeed, significantly higher levels of spontaneous G0
arrest were observed in the majority of cancers (56%) when p53 was functional rather
than mutated. The second most dependent state was that of CDK4/6 inhibition, with
increased levels in 36% of cancer types displaying p53 proficiency (Additional file 2:
Fig. S6g).
Overall, these analyses of stress response states point to common transcriptional
features of drug-tolerant G0 arrested cells in different cancer settings that could be
employed in designing ways to eradicate these cells in the future.
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Role of G0 arrest in driving therapeutic resistance in cancer uncovered from single‑cell
data
Overall, G0 arrest appears to be beneficial for the long-term outcome of cancer patients,
even when accounting for potential confounders such as stage, sex and tissue (Fig. 6a,
Additional file 2: Fig. S7a). No clear relation was observed between G0 arrest levels
within the primary tumour and risk of relapse, although higher G0 arrest was occasion-
ally deemed favourable to avoiding disease recurrence or progression (Additional file 2:
Fig. S7b-e). Indeed, such slow cycling, indolent tumours would have higher chances of
being eradicated earlier in the disease, which is consistent with reported worse prog-
nosis of patients with higher tumour cell proliferation rates [97]. As expected, G0 arrest
levels were increased in stage 1 tumours, although later stages also exhibited this phe-
notype occasionally (Additional file 2: Fig. S7f ). However, outcomes do vary depend-
ing on the stress source, with worse survival observed upon contact inhibition (Fig. 6b).
The outcomes also vary by tissue: when the cut-offs between increased G0 arrest and
high proliferation were defined on an individual cancer basis rather than pan-cancer, we
found that lung, colon or oesophageal carcinoma patients displayed significantly worse
prognosis in the context of high proportions of G0 arrested cells in the tumour (Fig. 6c,
see ‘Methods’). Indeed, p53 wild-type colorectal cancers expressing a quiescence-linked
fetal phenotype have been recently associated with metastasis and poor prognosis [98].
In contrast, adrenocortical and kidney papillary cell carcinoma ranked in the top of can-
cers with improved survival. It is noticeable that the cancers in the former, worse prog-
nosis group are also amongst the ones displaying lower than average G0 arrest (Fig. 2b),
so the observed inferior outcomes could in part be linked to these cancers being intrinsi-
cally faster progressing. It is possible there is a lower limit below which G0 arrest stops
being useful for delaying growth and becomes detrimental instead, perhaps in conjunc-
tion with treatment. Indeed, other factors such as the type of therapy received could play
a role too. While we are limited in the investigation of such factors in TCGA due to the
incomplete records available, these discrepancies should be subject to future research.
While G0 arrest may confer an overall survival advantage in most cancers, it can
also provide a pool of cells that are capable of developing resistance to therapy [12, 99].
Using our methodology, we indeed observed an increase in G0 arrest levels in cell lines
(See figure on next page.)
Fig. 6 Impact of G0 arrest on patient prognosis and treatment response. a Disease‑specific survival based
on proliferation/G0 arrest levels for patients from TCGA within 15 years of follow‑up. Patients with increased
levels of G0 arrest in primary tumours showed significantly better prognosis than patients with fast
proliferating tumours. b–c Hazard ratio ranges illustrating the impact of different forms of G0 induction (b)
and different tissues (c) on patient prognosis, after taking into account potential confounding factors. Values
above 0 indicate significantly better prognosis when tumours contain high proportions of cells arrested
in G0. d Change in G0 arrest scores inferred from bulk RNA‑seq across breast, pancreatic, colorectal and
skin cancer cells in response to treatment with the CDK4/6 inhibitor palbociclib, 5‑FU or the BRAF inhibitor
vemurafenib. e–f UMAP plot illustrating the response of the TP53‑proficient RKO colorectal cancer cell line
to various 5‑FU doses and the corresponding proportions of cells predicted to be arrested/proliferating.
Each dot is an individual cell, coloured according to its G0 arrest level. g–h The same as previous, but for the
TP53‑deficient SW480 cell line. i–j UMAP plot illustrating the response of individual PC9 NSCLC cells to the
EGFR inhibitor erlotinib across several time points and the corresponding proportion of cells predicted to be
arrested/proliferating. k Principal component analysis illustrating the superimposition of single‑cell RNA‑seq
profiles (circles) of G0 arrested NSCLC cells before/after EGFR inhibition onto the bulk RNA‑seq reference data
(triangles) for MCF10A cells occupying various stress response states. l The proportion of NSCLC cells in k
predicted to occupy different stress response states across several time points
Wiecek et al. Genome Biology (2023) 24:128
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Fig. 6 (See legend on previous page.)
following treatment with EGFR, BRAF and CDK4/6 inhibitors, as well as conventionally
used chemotherapies such as 5-fluorouracil (5-FU) in multiple bulk RNA-seq datasets
(Fig. 6d).
Furthermore, the recent widespread availability of single-cell transcriptomics offers the
opportunity to investigate the impact of G0 arrest on such therapies with much greater
granularity than is allowed by bulk data. Using our G0 arrest signature and single-cell
data from RKO and SW480 colon cancer cell lines treated with 5-FU [100], we could
observe G0 arrest and proliferation decisions following conventional chemotherapy
Wiecek et al. Genome Biology (2023) 24:128
Page 16 of 35
treatment. Within the p53 proficient cell line RKO, the fraction of G0 arrested cells
increased from 41 to 93% after treatment with a low dose (10 μM) of 5-FU and per-
sisted at higher doses (Fig. 6e–f ). In contrast, a comparable increase in G0 arrest was
not observed in TP53 mutant SW480 cells, further emphasizing the key role of p53 as a
regulator of cell cycle exit (Fig. 6g–h). This implies that although TP53 mutations confer
a more aggressive tumour phenotype and may drive resistance via other mechanisms,
TP53 wild-type tumour cells are more likely to be capable of entering a G0 ‘persistent’
state associated with drug resistance. SW480 cells showed higher apoptotic activity
following treatment compared to RKO cells, particularly within actively cycling cells,
further corroborating that cells capable of entering G0 arrest may be intrinsically less
vulnerable to this therapy (Supplementary Fig. 8a-b).
Similarly, using single-cell data from an EGFR mutant non-small cell lung cancer
(NSCLC) cell line treated with the EGFR inhibitor erlotinib [13], we predicted that 40%
of cells were likely to exist in a G0 arrest state prior to treatment. EGFR inhibition led
to a massive decrease in cell numbers immediately after treatment, mostly due to pro-
liferating cells dying off (Supplementary Fig. 8c-d), while the proportion of arrested
cells increased to 96% at day 1, indicating an immediate selective advantage for such
cells (Fig. 6i–j). These cells appear to gradually start proliferating again in the following
days during continuous treatment, with the percentage of proliferating cells approach-
ing pre-treatment levels by day 11 (Fig. 6j). The same trend captured by our signature
could be observed upon KRAS and BRAF inhibition in different cell line models (Addi-
tional file 2: Fig. S8e-h, Additional file 1: Table S3) [12, 13]. Furthermore, during the first
days of treatment, the NSCLC cells that survived EGFR inhibition appeared to reside in
a state most resembling that induced by serum starvation (Fig. 6k–l). Both EGFR kinase
inhibitors and serum starvation have been shown to trigger autophagy [101], which may
explain the convergence between this inhibitory trigger and the type of stress response.
At day 11, most of the remaining arrested cells appeared in a state similar to that preced-
ing the treatment (Fig. 6l).
Thus, G0 arrest appears to explain resistance to broad acting chemotherapy agents as
well as targeted molecular inhibitors of the Ras/MAPK signalling pathway, being either
selected for, or induced immediately upon treatment, and gradually waning over time
as cells start re-entering the cell cycle. Using massively multiplexed chemical transcrip-
tomic data, we also analysed responses to 188 small molecule inhibitors in cell lines at
single-cell resolution [102] (Additional file 2: Fig. S9). We observed a large increase in
G0 arrest following treatment with not only compounds targeting cell cycle regulation
and tyrosine kinase signalling, consistent with our previous results, but also for com-
pounds modulating epigenetic regulation, e.g. histone deacetylase inhibitors—thus high-
lighting the broad relevance of G0 arrest.
While links between G0 arrest and therapeutic resistance are prevalently observed
in cell lines, one would question whether this translates to similar pathology in cancer
patients. While we observed significantly higher G0 arrest levels in pre-treated tumours
of non-responders to neoadjuvant chemotherapy in a breast cancer study by Hatzis et al.
[103] (Additional file 2: Fig. S10a), surveying various targeted therapy datasets from
the SELECT study [104] and the TCGA data for links with response to various thera-
pies (single agent and combinations) showed little to no evidence for a bulk signature
Wiecek et al. Genome Biology (2023) 24:128
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of G0 being useful for predicting resistance in these studies (Supplementary Fig. 10b-
c). Although the studies available for inspection are rather sparse, evidence from all the
analyses presented here suggests there is no universal a priori role that G0 arrest has
within the pre-treated primary tumour in determining response to treatment: favour-
able overall outcomes are observed occasionally due to slower progressing malignancy,
but resistance is also observed in the case of chemotherapy in breast cancer. Instead, the
role of G0 arrest in enabling therapeutic resistance as a short-lived acquired phenotype
as demonstrated in single-cell datasets appears more consistent.
Tumour cell G0 arrest signature for use in single‑cell transcriptomics data
Our ability to probe the nature of G0 arrest phenotypes in single-cell RNA-seq data
using a defined G0 signature could aid the development of methods to selectively tar-
get G0 arrested drug-resistant persister cells. However, a major challenge of single-cell
RNA-seq data analysis is the high percentage of gene dropout, which could impact our
ability to evaluate G0 arrest using the full 139 gene signature. The single-cell RNA-seq
datasets we analysed exhibited an average drop-out of 8.5 genes out of the full gene sig-
nature. While our scoring method remains robust to such levels of dropout (Supple-
mentary Fig. 1d-f ), we also employed machine learning to reduce our initial list of 139
markers of quiescence to a robust 35-gene signature, comprised mainly of RNA metabo-
lism and splicing-regulating factors, and also of genes involved in cell cycle progression,
ageing and senescence, which could be applied to sparser datasets with larger levels of
gene dropout (see ‘Methods’, Fig. 7a-b, Additional file 1: Table S4). The optimised sig-
nature of G0 arrest performed similarly to the initial broadly defined programme in
distinguishing fast cycling tumours from those containing high proportions of G0 cells
(Fig. 7c). It also showed an average dropout of only 0.5 genes across the single-cell RNA-
seq datasets used in this study (Fig. 7d), was similarly prognostic (p = 0.004) and showed
comparable profiles of resistance to treatment (Fig. 7e, Additional file 2: Fig. S11). This
minimal expression signature could be employed to track and further study emerging G0
arrest-enabled resistance in a variety of therapeutic scenarios.
Discussion
Despite its crucial role in cancer progression and resistance to therapies, G0 arrest in all
its forms remains poorly characterised due to the scarcity of suitable models and bio-
markers for large-scale tracking in the tissue or blood. The lack of proliferative mark-
ers such as Ki67 or CDK2 [31, 105] does not uniquely distinguish G0 arrest from other
cell cycle phases, e.g. G1. Miller et al. [32] have shown that the Ki67 is expressed at the
mRNA level but the protein is degraded continuously both in G0 and G1, and it rather
acts as a graded marker of S/G2/M. Similarly, CDK2 activity is low in G0 and G1, builds
up at the restriction point, is high in the S phase and is then replaced by CDK1 in mito-
sis. Reduced CDK2 expression can manifest due to not only quiescence and mitosis but
also to DNA damage [106], and thus cut-offs to uniquely distinguish its activity in G0
would be difficult to define. Furthermore, these and other reliable markers of G0 arrest
such as p27 or p130 [50] are best captured at protein level, which is much more sparsely
measured, and expression does not accurately reflect their activity. This study overcame
this limitation by employing genes active in different forms of quiescence whose patterns
Wiecek et al. Genome Biology (2023) 24:128
Page 18 of 35
Fig. 7 Optimisation of the G0 arrest signature for use in single‑cell RNA‑seq data. a Methodology for refining
the gene signature of G0 arrest: random forest classifiers are trained to distinguish arrested from cycling
tumours on three high confidence datasets; Gini index thresholding is optimised to prioritise a final list of 35
genes. b Gini index variation, correlation with experimentally measured quiescence via EdU and phospho‑Rb
staining assays, and corresponding p‑values are plotted as the number of genes considered in the model is
increased. The vertical black dashed line indicates the threshold chosen for the final solution of 35 genes. The
horizontal grey dotted line indicates the threshold for p‑value significance. c Additional external validation
of the 35 gene signature acting as a classifier of G0 arrested and proliferating cells in single‑cell and bulk
datasets. d Dropout in single‑cell data by gene signature. The percentage of genes out of the 35 (red) and
139 (grey) gene lists with reported expression across the single‑cell RNA‑seq datasets analysed in this study.
e Proportion of cycling and G0 arrested cells estimated in single‑cell datasets of p53 wild‑type and mutant
lines treated with 5FU, as well as cells treated with EGFR inhibitors. Data as in Fig. 6
of expression are distinct from markers of a longer G1 phase and capture cell cycle arrest
as also observed in senescence, stemness or dormancy. We have extensively validated
our method and signature in single-cell datasets and cancer cell lines and have demon-
strated that it can reliably and robustly capture signals of G0 arrest both in bulk tissue as
well as in single cells.
Within bulk tissue, we are limited in our capacity to distinguish between large fractions
of cells residing in short-lived G0 arrest and a smaller fraction of cells that are in deeper
Wiecek et al. Genome Biology (2023) 24:128
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G0 arrest, as our score seems to reflect both parameters to a certain extent. Bearing in
mind this limitation, our score could potentially also be used in a single-cell setting to
capture longer-lived cell cycle arrest states such as ones demonstrated in senescence or
dormancy and could assist in identifying such states, but only with the help of additional
cell-state specific, immune or secretory biomarkers. Indeed, gene activity linked to cell
cycle arrest is not exclusive to quiescence, but can be shared with senescence or dor-
mancy in certain scenarios, as also demonstrated in some of our analyses of senescent
cells. This makes it difficult to clearly distinguish states like dormancy, senescence and
quiescence (particularly deep quiescence), as even their definitions can be contentious at
times both in the context of human cancers [4, 57, 107–109] as well as in physiological
conditions in other organisms [110, 111]. Since our signature was derived and validated
in experiments that were tailored specifically to induce and/or measure quiescence, we
believe the signature proposed in this study best reflects a quiescent-like, reversible G0
cell cycle arrest state. While senescent and dormant cells could be distinguished from
their quiescent counterparts simply based on additional senescence and dormancy
markers, further research is nevertheless required in the future to delineate signatures
that are both necessary and sufficient to unambiguously discriminate all three states. In
the meantime, future studies utilising our G0 signature should also test for such addi-
tional markers like β-galactosidase activity, the SASP and other senescence markers, or
NRF2, NR2F1, SOX9, RARβ [112, 113] and other dormancy markers to ascertain the
type of G0 arrest that is being captured.
The versatility of our signature is evidenced by high classification accuracies across a
variety of solid cancer datasets. More variable performance was observed when applied
to haematopoietic stem cells as it was not designed to capture signals in this context
(Additional file 2: Fig. S1b). While we cannot exclude that the patterns captured may
also occasionally reflect cell cycle arrest in G1 or G2, this broad signature would still
capture phenotypes resulting from intrinsic or extrinsic cellular stress that reflect tem-
porary tumour adaptation during the course of cancer evolution or upon treatment with
drugs. Thus, studying such states is relevant for identifying vulnerabilities that could be
exploited at different time points during the course of cancer treatment.
We show that G0 arrest is pervasive across different solid cancers and generally associ-
ated with more stable, less mutated genomes with intact DNA damage repair pathways.
We also find a link between APOBEC mutagenesis and higher levels of G0 arrest. Some
neoplastic events enriched in tumours with increased G0 arrest, such as p16 or ZMYM2
deletions, could mark elevated genomic stress that renders cells more prone to cell cycle
exit. We also identified mutational events affecting a variety of genes such as PTEN,
CEP89, CYLD and LMNA that appear unfavourable to cell cycle arrest, thus potentially
implicating them in influencing G0 arrest-proliferation decisions. Amongst these, we
propose and validate CEP89 as a novel modulator of G0 arrest capacity in non-small cell
lung cancer. A recent paper describes how increased CEP89 copy number and expres-
sion correlates with a worse prognosis in ovarian cancer [114], which we hypothesise
could be linked to Cep89’s role in modulating G0 arrest. Although we do not yet know
how Cep89 regulates G0 arrest, two roles have been ascribed to Cep89 which could be
significant. First, Cep89 is required for primary cilium assembly [115, 116]. The primary
cilium acts as a signalling hub, transducing extracellular signals to intracellular signalling
Wiecek et al. Genome Biology (2023) 24:128
Page 20 of 35
networks, many of which regulate growth and proliferation [117]. Cep89 deficiency also
leads to defects in Complex IV assembly in the electron transport chain in mitochon-
dria, leading to decreased mitochondrial function and ATP production [118]. Decreased
ATP would impair the ability of cells to proliferate. Since Cep89 is a coiled-coil protein
with no obviously targetable regulatory domains, it will be important to ascertain which
Cep89 function is key to regulating the balance between proliferation and arrest in can-
cer cells to be able to potentially target that process, rather than Cep89 itself, to induce
or maintain G0 arrest.
These large-scale genomic associations with G0 arrest phenotypes are only currently
feasible in bulk datasets. However, bulk sequenced data has a major limitation in cap-
turing an average signal across all cells within the tumour, which prevents individual
cell state identification and counting. Our subsequent exploration of single-cell datasets
across 193 therapeutic scenarios complements this analysis and illustrates the power of
applying our signature in single cells.
Our signature of G0 arrest is prognostic and marks primary tumours with a lower
proliferative capacity before treatment, but we also clearly demonstrate that it can be
employed to track resistance to multiple cell cycle, kinase signalling and epigenetic tar-
geting regimens, where it often appears as a short-lived phenotype. While this discrep-
ancy may appear incompatible at first glance, it is not unlike other cellular processes that
have been shown to present dual roles in a cancer setting, such as reactive oxygen spe-
cies [119], but also p38α [120] or NRF2 [121], both of which have been implicated in qui-
escence or dormancy [113, 122]. It is possible that there is a tipping point between G0
arrest acting beneficially or detrimentally during tumour development and treatment.
Furthermore, this is likely influenced by a myriad of other complex factors that we have
not had the chance to analyse in depth here, and in some cases, it may just be the base-
line for acquiring cancer cell stemness or senescent properties. While we acknowledge
this conundrum requires further study, we believe this phenotype also offers a unique
opportunity to further understand mechanisms of tumour resistance. A key open ques-
tion remains: if G0 arrest drives resistance, does it do so in a Darwinian fashion, as a pre-
existing population that is selected for upon drug treatment, or is it instead an acquired
phenotype? Our single-cell analyses cannot exclude either scenario. Given the variable
links to treatment response and lack of clear evidence for relapse when surveying G0
arrest in primary tumours before treatment, it is likely our G0 arrest signature in its cur-
rent form cannot be used to predict resistance to chemotherapy or targeted therapy, and
we would not recommend it for this purpose unless further validated in a specific cancer
setting. We have also not inspected the role of G0 arrest in the context of immunother-
apy, which remains an area of future study. However, we believe our signature has high
value for the study of emerging resistance in an in vitro/in vivo setting, as a short-lived
enabler of drug tolerance. The optimised signature we propose for single-cell data makes
it tractable to a variety of future studies in this area.
In a treatment setting, vulnerabilities of G0 arrested cells could be exploited for com-
bination therapies. Cells which have exited the cell cycle utilise several mechanisms
to achieve drug resistance, including upregulation of stress-induced pathways such as
anti-apoptotic BCL-2 signalling [123], anti-ROS programmes [28] or immune evasion
Wiecek et al. Genome Biology (2023) 24:128
Page 21 of 35
[15]. Further studies are needed to elucidate which of these mechanisms are specifically
employed on a case-by-case basis.
Our findings contribute to the understanding of the aetiology and genetic context of
G0 arrest in cancer. This is particularly relevant to not only identifying new anti-prolif-
erative targets but also for the detection and eradication of drug-tolerant persister cells,
which have been frequently, although not always, observed to be slow cycling or entirely
quiescent/senescent [8, 9]. Importantly, the state of G0 arrest that we have studied here
is distinct from that of disseminated tumour cells causing clinical dormancy and can-
cer relapse, often after many years from the treatment of the primary tumour [4, 124].
Here, we have focused on understanding how tumours make proliferation and G0 arrest
decisions during the earlier stages of cancer development, within the treatment-naïve
primary tumour and as an immediate response to anti-cancer therapies. However, since
the dormancy of disseminated tumour cells is fundamentally enabled through a long
but temporary cell cycle arrest, we believe our findings of the fundamental processes
linked with G0 arrest could in the future help inform a better characterisation of dor-
mant tumour cells when combined with specific microenvironmental signatures that are
critical for enabling that process.
Conclusions
Overall, our study provides, for the first time, a pan-cancer view of G0 arrest and its
evolutionary constraints, underlying novel mutational dependencies which could be
exploited in the clinic. We propose a G0 arrest signature which can be robustly meas-
ured in bulk tissue or single cells and could potentially inform therapeutic strategies in
the longer term. This signature could be assessed in the clinic to track rapidly emerg-
ing resistance, e.g. through liquid biopsies or targeted gene panels. We hope these
insights can be used as building blocks for future studies into the different regulators
of G0 arrest, including epigenetics and microenvironmental interactions, as well as the
mechanisms by which it enables therapeutic resistance both in solid and haematological
malignancies.
Methods
Selection of G0 arrest marker genes
Generic G0 arrest markers
Differential expression analysis results comparing cycling immortalised, non-trans-
formed human epithelial cells and cells in five different forms of quiescence (sponta-
neous quiescence, contact inhibition, serum starvation, CDK4/6 inhibition and MEK
inhibition) were obtained from Min and Spencer [28]. A total of 195 genes were differen-
tially expressed in all five forms of quiescence under an adjusted p-value cut-off of 0.05.
This gene list, reflective of a generic G0 arrest phenotype, was subjected to the follow-
ing refinement and filtering steps: (1) selection of genes with a unidirectional change of
expression across all five forms of quiescence; (2) removal of genes involved in other cell
cycle stages included in the ‘KEGG_CELL_CYCLE’ gene list deposited at MSigDB; (3)
removal of genes showing low standard deviation and low levels of expression within
the TCGA dataset, or which showed low correlation with the pan-cancer expression of
Wiecek et al. Genome Biology (2023) 24:128
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the transcriptional targets of the DREAM complex, the main effector of quiescence, in
TCGA. The resulting 139-gene signature is presented in Additional file 1: Table S1.
G0 arrest stress response‑specific markers
Gene lists representing spontaneous quiescence, contact inhibition, serum starvation,
CDK4/6 inhibition and MEK inhibition programmes were obtained using genes differ-
entially expressed in each individual quiescence form using an adjusted p-value cut-off
of 0.05. The gene lists were subjected to filtering steps 2 and 3 described above. Follow-
ing the refinement steps, 10 upregulated and 10 downregulated genes with highest log2
fold changes were selected for each stress response type.
Quantification of G0 arrest in tumours
The GSVA R package was used to implement the combined Z-score [40], ssGSEA [41]
and GSVA [42] gene set enrichment methods. For the above three methods, a sepa-
rate score was obtained for genes upregulated in quiescence and genes downregulated
in quiescence, following which a final G0 arrest score was obtained by subtracting the
two scores. The singscore single-sample gene signature scoring method [43] was imple-
mented using the singscore R package. In addition to these, we also calculated a mean
scaled G0 arrest score based on the refined list of genes upregulated and downregulated
in quiescence, as well as a curated housekeeping genes from the ‘HSIAO_HOUSEKEEP-
ING_GENES’ list deposited at MSigDB, as follows:
1
n
G0m =
GD
GU − 1
n
1
GH
n
G0m = mean scale G0 arrest score
GU = expression of genes upregulated in quiescence
GD = expression of genes downregulated in quiescence
GH = expression of housekeeping genes
n = number of genes in each gene set
G0 arrest scores for the TCGA cohort were derived from expression data scaled by
tumour purity estimates. The pan-cancer TCGA samples were also classified into groups
with ‘high’ or ‘low’ levels of G0 arrest based on k-means clustering (k = 2) on the expres-
sion data of 139 G0 biomarker genes, following the removal of tissue-specific expression
differences using the ComBat function from the sva R package [125].
Measuring the duration of G0 arrest
We employed the GSE124109 dataset from Fujimaki et al. [52] where rat embryonic
fibroblasts were transcriptomically profiled as they moved from short- to long-term qui-
escence in the absence of growth signals. The derived G0 arrest scores using our com-
bined Z-score methodology increased from short- to longer-term quiescence.
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Validation of G0 arrest scoring methodologies
Single‑cell RNA‑sequencing validation datasets
Datasets were obtained from the ArrayExpress and Gene Expression Omnibus (GEO)
databases though the following GEO Series accession numbers: GSE83142, GSE75367,
GSE137912, GSE139013, GSE90742 and E-MTAB-4547. Quality control analysis was
standardised using the SingleCellExperiment [126] and scater [127] R packages. Normal-
isation was performed using the scran [128] R package.
Bulk RNA‑sequencing validation datasets
Datasets were obtained from the GEO database through the following GEO Series
accession numbers: GSE93391, GSE114012, GSE131594, GSE152699, GSE124854,
GSE135215, GSE99116, GSE124109, GSE61130, GSE64553 and GSE63577. GSE114012
count data were normalised to TPM values using the GeoTcgaData R package. All nor-
malised datasets were log-transformed before further analysis.
The accuracy with which the G0 arrest scoring methods could separate proliferating
and quiescent samples within the validation datasets was determined by calculating the
area under the curve of the receiver operating characteristic (ROC) curves, using the
plotROC R package.
Experimental validation in lung adenocarcinoma cell lines
The average fraction of cancer cells spontaneously entering quiescence was estimated
for nine lung adenocarcinoma cell lines (NCIH460, A549, NCIH1666, NCIH1944,
NCIH1563, NCIH1299, NCIH1650, H358, L23) using EdU and phospho-Rb staining
proliferation assays.
Cell lines were obtained from ATCC or Sigma and regularly checked for mycoplasma.
A549 and NCIH460 were cultured in DMEM (Gibco). NCIH358, NCIH1299 and
NCIH1563 were maintained in RPMI-1640 (Gibco) supplemented with 5 mM sodium
pyruvate and 0.5% glucose. NCIH1944, NCIH1666, NCIH1650 and L23 were grown in
RPMI-1640 ATCC formulation (Gibco). A427 were cultured in EMEM (ATCC). A549,
NCIH460, H358, NCIH1299, NCIH1563, and A427 were supplemented with 10% heat
inactivated FBS. NCIH1666 with 5% heat-inactivated FBS and all other cell lines with
10% non-heat inactivated FBS. All cell lines had penicillin–streptomycin (Gibco) added
to 1%. Cells were maintained at 37 °C and 5% CO2. To calculate the quiescent fraction,
A549 and NCIH460 cells were plated at a density of 500 cells/well, and all other cell lines
at a density of 1000/well, in 384-well CellCarrier Ultra plates (PerkinElmer) in the rel-
evant media. Twenty-four hours later, 5 μM EdU was added and cells were incubated
for a further 24 h before fixing in a final concentration of 4% formaldehyde (15 min, RT),
permeabilization with PBS/0.5% Triton X-100 (15 min, RT) and blocking with 2% BSA
in PBS (60 min, RT). The EdU signal was detected using Click-iT chemistry, according
to the manufacturer’s protocol (ThermoFisher). Cells were also labelled for phospho-
Ser807/811 Rb (phospho-Rb) using Rabbit mAb 8516 (CST) at 1:2000 in blocking solu-
tion, overnight at 4 °C. Unbound primary antibody was washed three times in PBS and
secondary Alexa-conjugated antibodies were used to detect the signal (ThermoFisher,
1:1000, 1 h at RT). Finally, nuclei were labelled with Hoechst 33258 (1 μg/ml, 15 min RT)
Wiecek et al. Genome Biology (2023) 24:128
Page 24 of 35
before imaging on a high-content widefield Operetta microscope, 20 × N.A. 0.8. Auto-
mated image analysis (Harmony, PerkinElmer) was used to segment and quantify nuclear
signals in imaged cells. Quiescent cells were defined by the absence of EdU or phospho-
Rb staining, determined by quantification of their nuclear expression (Fig. 1e–f ).
Endogenous PCNA was labelled at the N-terminus with a cDNA encoding mRuby
in both A549 and NCI-H1944 cells, using AAV-mediated gene-targeting, according to
methods described in Zerjatke et al. [54]. mRuby-expressing cells were sorted into 50:50
conditioned:fresh media at single-cell density into 96-well plates by FACS and single-cell
clones expanded. For live-cell imaging, 500 cells in phenol-red free media were plated
per well of a 384 CellCarrierUltra plate (PerkinElmer) the day before imaging. Prior
to imaging, a breathable membrane was applied to the plate and cells were imaged on
the Operetta HCS microscope (PerkinElmer) at 37 °C, 5% CO2 using the 20 × N.A. 0.8
objective and at 10–12 min intervals for 48 h. Images were then exported and G0/G1
length (time from mitotic exit to S-phase entry) was analysed manually in FIJI.
The G0 arrest scores for cancer cell lines were calculated using corresponding log-
transformed RPKM normalised bulk RNA-seq data from the Cancer Cell Line Encyclo-
pedia (CCLE) database [129].
CEP89 was depleted by ON-Target siRNA Pool from Horizon. NCI-H1299 cells were
reverse transfected in 384-well plates with 20 nM of non-targeting control (NTC) or
CEP89-targeting siRNA using Lipofectamine RNAiMax (ThermoFisher), according to
the manufacturer’s instructions. Cells were left for 24 h, before 5 μM EdU was added
for the final 24 h and then cells were processed as above to determine the quiescent
fraction. To determine the level of Cep89 depletion by western blot, cells were reverse
transfected with siRNA in 24-well plates. Forty-eight hours after transfection, cells were
lysed directly in 1 × SDS sample buffer with 1 mM DTT (ThermoFisher). Samples were
separated on pre-cast 4–20% Tris-Glycine gels, transferred to PVDF using the iBlot2
system and membranes blocked in blocking buffer (5% milk in TBS) for 1 h at RT. The
membrane was then cut and the upper half was incubated in 1:1000 Cep89 antibody
(Sigma, HPA040056), the bottom half in B-actin antibody 1:2000 (CST; 3700S) diluted
in blocking buffer overnight at 4 °C. Membranes were washed three times in TBS-0.05%
TritonX-100 before being incubated in secondary anti-rabbit (Cep89) or anti-mouse
(B-actin) HRP conjugated antibodies (CST 7074P2 and CST 7076P2, respectively)
diluted 1:2000 in blocking buffer for 1 h at RT. Membranes were washed three times
again and signal detected using Clarity ECL solution (BioRad) and scanned on an Amer-
sham ImageQuant 800 analyser.
Multi‑omics discovery cohort
FPKM normalised RNA-sequencing expression data, copy number variation gene-
level data, RPPA levels for p27 as well as mutation annotation files aligned against the
GRCh38 human reference genome from the Mutect2 pipeline were downloaded using
the TCGABiolinks R package [130] for 9712 TCGA primary tumour samples across
31 solid cancer types. Haematological malignancies were excluded as the G0 markers
were derived in epithelial cells and might not be equally suited to capture this pheno-
type in blood. For patients with multiple samples available, one RNA-seq barcode entry
was selected for each individual patient resulting in 9631 total entries. All expression
Wiecek et al. Genome Biology (2023) 24:128
Page 25 of 35
data were log-transformed for downstream analysis. During G0 arrest score calculation,
expression data for the primary tumour samples was scaled according to tumour purity
estimates reported by Hoadley et al. [131] to account for potential confounding cell cycle
arrest signals coming from non-tumour cells in the microenvironment. Samples with
purity estimates lower than 30% were removed, leaving 8005 samples for downstream
analysis.
The mutation rates of all TCGA primary tumour samples were determined by log-
transforming the total number of mutations in each sample divided by the length of the
exome capture (38 Mb).
TP53 functional status was assessed based on somatic mutation and copy num-
ber alterations as described in Zhang et al. [132]. TP53 mutation and copy number for
the TCGA tumours were downloaded from cBioPortal (http:// www. cbiop ortal. org).
Tumours with TP53 oncogenic mutations (annotated by OncoKB) and copy-number
alterations (GISTIC score ≤ − 1) were assigned as TP53 mutant and CNV loss. Tumours
without these TP53 alterations were assigned as TP53 wild type. The effects of the TP53
mutation status on G0 arrest were then determined with a linear model approach with
the G0 arrest score as a dependent variable and mutational status as an independent
variable. The P values were FDR-adjusted.
APOBEC mutagenesis enriched samples were determined through pan-cancer clus-
tering of mutational signature contributions as described in Wiecek et al. [133]. The
APOBEC mutagenesis cluster was defined as the cluster with highest mean SBS2 and
SBS13 contribution. This was repeated 100 times and only samples which appeared in
the APOBEC cluster at least 50 times were counted as being APOBEC enriched.
Aneuploidy scores and whole-genome duplication events across TCGA samples were
obtained from Taylor et al. [134]. Microsatellite instability status for uterine corpus
endometrial carcinoma, as well as stomach and colon adenocarcinoma samples were
obtained from Cortes-Ciriano et al. [78]. Telomerase enzymatic activity ‘EXTEND’
scores were obtained from Noureen et al. [62]. Expression-based cancer cell stemness
indices were obtained from Malta et al. [63]. Centrosome amplification transcriptomic
signature (CA20) scores were obtained from Almeida et al. [89].
PHATE dimensionality reduction
The phateR R package [135] was used to perform the dimensionality reduction with a
constant seed for reproducibility. The ComBat function from the sva R package [136]
was used to remove tissue-specific expression patterns from the TCGA RNA-seq data.
Cancer stem cell division estimates
The mean stem cell division estimates for different cancer types used in this study were
obtained from Tomasetti and Vogelstein [55].
Mutational signature estimation
Mutational signature contributions were inferred as described in Wiecek et al. [133].
Wiecek et al. Genome Biology (2023) 24:128
Page 26 of 35
Machine learning of G0 arrest‑linked features via ensemble elastic net regression models
The COSMIC database was used to source a list of 723 known drivers of tumorigenesis
(tiers 1 + 2); 285 oncogenes and tumour suppressors from a curated list showed a sig-
nificant enrichment or depletion of mutations or copy number variants in samples with
high levels of G0 arrest either pan-cancer or within individual TCGA studies.
To classify G0 arrest-prone from fast proliferating tumours, the 285 genes were used
as input features for an ensemble elastic net regression model along the tumour muta-
tional rate, whole-genome doubling estimates, ploidy, aneuploidy scores and 15 muta-
tional signatures, which showed a significant correlation with G0 arrest scores either
pan-cancer or within individual TCGA studies. The caret R package was used to build
an elastic net regression model 1000 times on the training dataset of 3753 TCGA pri-
mary tumour samples (80% of the total dataset). Only samples with at least 50 mutations
were used in the model, for which mutational signatures could be reliably estimated. For
each of the 1000 iterations, we randomly selected 90% of the samples from the training
dataset to build the model. Only features which were included in all 1000 model itera-
tions were selected for further analysis. To test the performance of our approach, a linear
regression model was built using the reduced list of genomic features and their corre-
sponding coefficients averaged across the 1000 elastic net regression model iterations.
When applying the resulting linear regression model on the internal validation dataset
of 936 samples, we found a strong correlation between the observed and predicted G0
arrest scores (R = 0.73, p < 2.2e − 16).
SHAP values for the linear regression model used to predict G0 arrest scores were
obtained using the fastshap R package.
Gene enrichment and network analysis
Gene set enrichment analysis was carried out using the ReactomePA R package, as well
as GeneMania [137] and ConsensusPathDB [138]. Interactions between CEP89 and
other cell cycle components were inferred using the list of cell cycle genes provided by
cBioPortal and GeneMania to reconstruct the expanded network with direct interactors
(STAG1, CCND2, STAT3). Networks were visualised using Cytoscape [139].
Gene lists
Genes associated with the G1 phase of the cell cycle were obtained from the curated
‘REACTOME_G1_PHASE’ list deposited at MSigDB. Genes associated with the G1/S
and G2/M phases of the cell cycle were obtained from Tirosh et al. [51].
Genes associated with apoptosis were obtained from the curated ‘HALLMARK_
APOPTOSIS’ list deposited at MSigDB.
Genes associated with the senescence-associated secretory phenotype were obtained
from Basisty et al. [60]. Lists of genes making up the various DNA damage repair path-
ways were derived from Pearl et al. [140].
Genes associated with contact inhibition were obtained from the curated ‘contact inhi-
bition’ gene ontology term. Genes associated with serum starvation were obtained from
the curated ‘REACTOME_CELLULAR_RESPONSE_TO_STARVATION’ list deposited
at MSigDB. MEK inhibition was assessed based on the activity of the MAPK pathway as
Wiecek et al. Genome Biology (2023) 24:128
Page 27 of 35
determined using an expression signature (MPAS) consisting of 10 downstream MAPK
transcripts [92].
Validation of the genomic constraints of G0 arrest
For elastic net model feature validation, RNA-seq data was downloaded for six cancer
studies from cBioPortal [141], along with patient-matched whole-genome, whole-exome
and targeted sequencing data. The 6 datasets used comprise breast cancer (SMC [142]
and METABRIC [143]), paediatric Wilms’ tumour (TARGET [144]), bladder cancer,
prostate adenocarcinoma and sarcoma (MSKCC [145–147]) studies. The data were pro-
cessed and analysed in the same manner as the TCGA data. RNA-seq data for 27 MCF7
cell line strains, alongside cell line growth rates and targeted mutational sequencing data
were obtained from Ben-David et al. [79].
Genomic dependency modelling in breast cancer
An ANOVA-based feature importance classification was used and identified 30 genomic
features most discriminative of samples with lower and higher than average G0 arrest
scores. A random forest model was then built using the identified features and correctly
classified samples according to their G0 arrest state with a mean accuracy of 74% across
five randomly sampled test datasets from the cohort.
Survival analysis
Multivariate Cox proportional hazards analysis was carried out using the coxph func-
tion from the survival R package. The optimal quiescence score cut-off value of 2.95 was
determined pan-cancer using the surv_cutpoint function. We also used this function to
determine optimal cut-offs for individual cancer types, as presented in Fig. 6c.
Treatment response single‑cell and bulk RNA‑seq datasets
Datasets have been obtained from the GEO database through the following GEO Series
accession numbers for the cell line experiments: GSE134836, GSE134838, GSE134839,
GSE137912, GSE149224, GSE124854, GSE135215, GSE99116, GSE152699, GSE178839,
GSE139944, and the following accession numbers for the patient sample datasets:
GSE191127, GSE109211, GSE50509, GSE65185, GSE66399, GSE68871, GSE99898
(Additional file 1: Table S3). Unified treatment response data for TCGA was obtained
from Moiso, medRxiv 2021 [148]. The umap R package was used for dimensionality
reduction with constant seed for reproducibility.
Stress response subtype determination
TCGA cohort studies
Samples with evidence of cell cycle arrest characterised by a generic G0 score > 0 were
further subclassified based on the most likely form of stress response, among CDK4/6
inhibition, contact inhibition, MEK inhibition, spontaneous quiescence or serum
Wiecek et al. Genome Biology (2023) 24:128
Page 28 of 35
starvation, using stress-specific expression signatures. We opted for a conservative
approach and classed each sample with a high level of G0 arrest into a specific stress
response subtype if the arrest score for the corresponding programme was higher than
one standard deviation of the distribution across the TCGA cohort and if the score was
significantly higher than for the remaining programmes when assessed using a Student’s
t test. Samples which could not be classified into any of the five stress response states
characterised in this study were classified as ‘uncertain’.
Single‑cell RNA seq treatment response datasets
The stress response subtype of individual single cells was inferred by mapping such
individual cells onto the reference dataset of MCF10A cells reflecting different forms
of G0 arrest obtained from Min and Spencer [28]. The ComBat R package was used
to remove the study batch effect between the expression data to be classified and the
reference bulk RNA-seq data. PCA dimensionality reduction analysis was then used
on the combined datasets using the prcomp R function. For each patient sample or
single-cell expression data entry, a k-nearest neighbour algorithm classification was
performed using the knn function from the class R package. During the classifica-
tion, the three nearest reference bulk RNA-seq data points were considered, with two
nearest neighbours with identical class needed for classification.
Optimisation of the G0 arrest signature
We investigated if a subset of the 139 G0 phase-related genes could act as a more reli-
able marker of cell cycle arrest that would bypass dropout issues in single-cell data.
This was performed in three steps:
(1) Assessment of individual importance as G0 arrest marker for a given gene
We collected three high confidence single-cell expression datasets separating arrested
from proliferating cells. A random forest model was trained on each dataset sepa-
rately to predict the state (G0 arrest/cycling) of a given cell based on the expression
levels of the 139 genes in the signature. The Gini indices corresponding to each gene
in the model were normalised to a range of values between 0 and 1, which would
reflect how important an individual gene was for determining G0 arrest state relative
to the other 138 genes. The procedure was repeated 1000 times for each of the three
datasets, and the average Gini coefficients across iterations were stored.
(2) Prioritisation of gene subsets based on cumulative importance in the model
Genes were placed in the candidate subset if their importance metric was above a
given threshold in at least one of the datasets. By gradually increasing the threshold
from 0 to 1, different gene combinations were produced.
(3) External validation of candidate subsets
The gene combinations in (2) were tested for their ability to predict G0 arrest. For this,
a separate validation dataset was utilized, which contained gene expression levels for
the 139 genes in the 10 lung cancer cell lines previously employed for experimental
Wiecek et al. Genome Biology (2023) 24:128
Page 29 of 35
validation, along with the quiescence state of the lines as inferred by phospho-Rb
and EdU staining. For each gene subset, a combined Z-score of G0 arrest was cal-
culated from the expression levels as described previously. The correlations between
this Z-score and the two experimental measurements of quiescence were used to
establish the ability of a gene combination to predict quiescence. Among the top
performing subsets, a 35 gene signature with a mean correlation of 78% between
predicted and measured G0 arrest levels in the test data (p = 0.016) showed the
highest correlation with phospho-Rb measurements capturing short-lived G0 arrest,
the more common state observed in single-cell treatment datasets. Therefore, this
signature was deemed to achieve the best trade-off between gene numbers and sig-
nal capture.
The optimised gene signature is provided in Additional file 1: Table S4.
Statistical analysis
Groups were compared using a two-sided Student’s t test, Wilcoxon rank-sum test or
ANOVA, as appropriate. p-values were adjusted for multiple testing where appropriate
using the Benjamini–Hochberg method. Graphs were generated using the ggplot2 and
ggpubr R packages.
Supplementary Information
The online version contains supplementary material available at https:// doi. org/ 10. 1186/ s13059‑ 023‑ 02963‑4.
Additional file 1: Table S1. The 139‑gene signature of G0 arrest. The up‑ or downregulation status in G0 arrest is
indicated for each gene. Table S2. Summary of external G0 arrest score validation datasets. Table S3. Summary of
external cancer cell line treatment response data. Table S4. Results of the signature optimisation analysis.
Additional file 2: Fig. S1. G0 arrest score evaluation and validation. Fig. S2. Expression and genomic patterns of G0
arrest in tumours. Fig. S3. Modelling and validating a pan‑cancer classifier of G0 arrest. Fig. S4. Genomic landscape
of G0 arrest in breast cancer. Fig. S5. CEP89 expression is associated with G0 arrest and has prognostic value. Fig. S6.
Stress response programme validation and links with p53 status. Fig. S7. Relevance of G0 arrest to clinical outcome
in cancer. Fig. S8. G0 arrest signatures of drug tolerance in single cell data. Fig. S9. G0 arrest dynamics upon various
treatment modalities. Fig. S10. G0 arrest levels in patient samples compared between responders and non‑respond‑
ers to various cancer treatments. Fig. S11. Application of the reduced G0 arrest signature to scRNA‑seq data.
Additional file 3. Review history.
Acknowledgements
We would like to thank Prof Chris Barnes for the very helpful discussions and input on the findings of the study.
Review history
The review history is available as Additional file 3.
Peer review information
Wenjing She was the primary editor of this article and managed its editorial process and peer review in collaboration
with the rest of the editorial team.
Authors’ contributions
MS designed the study and supervised the computational analyses. ARB designed and supervised the experimental
validation in cell lines. GB supervised the analysis of p53 functional association. AJW developed the quiescence scoring
methodology and performed all computational analyses to validate and apply it in bulk and single‑cell datasets, as well
as link it to genomic features. SC performed the experimental validation of G0 arrest prevalence and CEP89 association
with G0 arrest in cell lines. DK performed the inference of the minimal signature of G0 arrest applicable in single‑cell
data. MPC performed the random forest modelling and feature selection in breast cancer. LG helped with the gene prior‑
itisation. GMT wrote the code for batch effect correction and for PCA mapping of single‑cell data on a reference dataset.
DHJ performed the APOBEC enrichment classification. PZ and LX performed the G0 arrest comparison of p53 wild‑type
and mutated cancers. MS, AJW, ARB and SC wrote the manuscript, with contributions from all other authors. All authors
read and approved the manuscript.
Authors’ Twitter handles
Twitter handles: @Alexis_Barr (Alexis R. Barr), @mariasecrier (Maria Secrier).
Wiecek et al. Genome Biology (2023) 24:128
Page 30 of 35
Funding
AJW and DHJ were supported by MRC DTP grants (MR/N013867/1). MPC was supported by an Academy of Medical
Science Springboard award (SBF004\1042). GMT was supported by a Wellcome Seed Award in Science (215296/Z/19/Z).
MS was supported by a UKRI Future Leaders Fellowship (MR/T042184/1). Work in MS’s lab was supported by a BBSRC
equipment grant (BB/R01356X/1) and a Wellcome Institutional Strategic Support Fund (204841/Z/16/Z). ARB and SC are
supported by a CRUK CDF (C63833/A25729) and work in ARB’s lab is supported by MRC core‑funding to the London
Institute of Medical Sciences (MC‑A658‑5TY60).
Availability of data and materials
The results published here are in part based upon data generated by the TCGA Research Network (https:// www. cancer.
gov/ tcga), METABRIC (https:// ega‑ archi ve. org/ studi es/ EGAS0 00000 00083), MSK‑IMPACT (https:// www. mskcc. org/ msk‑
impact) or deposited at cBioPortal (https:// www. cbiop ortal. org/). The following expression datasets from the Gene
Expression Omnibus (GEO, https:// www. ncbi. nlm. nih. gov/ geo/) have also been employed: GSE114012 [48], GSE131594
[45], GSE137912 [12], GSE152699 [49], GSE75367 [47], GSE83142 [46], GSE93991 [44], GSE134836 [13], GSE134838 [13],
GSE134839 [13], GSE124854 [93], GSE135215 [94], GSE99116 [93], GSE178839 [149], GSE149224 [100], GSE139944 [102],
GSE191127 [150], GSE109211 [151], GSE50509 [152], GSE65185 [153], GSE66399 [154], GSE68871 [155] and GSE99898
[156]. The GEO datasets employed in the analyses are summarised in Additional file 1: Tables S2 and S3.
All codes developed for the purpose of this study can be found at the following repository, released under a GNU Gen‑
eral Public License v3.0 at github: https:// github. com/ secri erlab/ Cance rG0Ar rest [157] and Zenodo (doi: 10. 5281/ zenodo.
78406 72) [158].
Declarations
Ethics approval and consent to participate
All data employed in this study comply with ethical regulations, with approval and informed consent for collection and
sharing already obtained by the relevant consortia where the data were obtained from (TCGA, METABRI, MSK‑IMPACT).
Consent for publication
Not applicable.
Competing interests
The authors declare that they have no competing interests.
Received: 1 June 2022 Accepted: 7 May 2023
References
1. Hanahan D, Weinberg RA. The hallmarks of cancer. Cell. 2000;100(1):57–70.
2. van Dijk D, Dhar R, Missarova AM, Espinar L, Blevins WR, Lehner B, et al. Slow‑growing cells within isogenic popula‑
tions have increased RNA polymerase error rates and DNA damage. Nat Commun. 2015;6:7972.
3. Davis JE, Kirk J, Ji Y, Tang DG. Tumor dormancy and slow‑cycling cancer cells. Adv Exp Med Biol.
2019;1164:199–206.
4. Phan TG, Croucher PI. The dormant cancer cell life cycle. Nat Rev Cancer. 2020;20(7):398–411.
5. Rehman SK, Haynes J, Collignon E, Brown KR, Wang Y, Nixon AML, et al. Colorectal cancer cells enter a diapause‑
like DTP state to survive chemotherapy. Cell. 2021;184(1):226‑42.e21.
6. Chen J, Li Y, Yu TS, McKay RM, Burns DK, Kernie SG, et al. A restricted cell population propagates glioblastoma
growth after chemotherapy. Nature. 2012;488(7412):522–6.
7. Puig I, Tenbaum SP, Chicote I, Arqués O, Martínez‑Quintanilla J, Cuesta‑Borrás E, et al. TET2 controls chemoresistant
slow‑cycling cancer cell survival and tumor recurrence. J Clin Invest. 2018;128(9):3887–905.
8. Cabanos HF, Hata AN. Emerging insights into targeted therapy‑tolerant persister cells in cancer. Cancers (Basel).
2021;13(11):2666.
9. Sharma SV, Lee DY, Li B, Quinlan MP, Takahashi F, Maheswaran S, et al. A chromatin‑mediated reversible drug‑
tolerant state in cancer cell subpopulations. Cell. 2010;141(1):69–80.
10. Swayden M, Chhouri H, Anouar Y, Grumolato L. Tolerant/persister cancer cells and the path to resistance to tar‑
geted therapy. Cells. 2020;9(12):2601.
11. Hsu CH, Altschuler SJ, Wu LF. Patterns of early p21 dynamics determine proliferation‑senescence cell fate after
chemotherapy. Cell. 2019;178(2):361‑73.e12.
12. Xue JY, Zhao Y, Aronowitz J, Mai TT, Vides A, Qeriqi B, et al. Rapid non‑uniform adaptation to conformation‑specific
KRAS(G12C) inhibition. Nature. 2020;577(7790):421–5.
13. Aissa AF, Islam ABMM, Ariss MM, Go CC, Rader AE, Conrardy RD, et al. Single‑cell transcriptional changes associated
with drug tolerance and response to combination therapies in cancer. Nat Commun. 2021;12(1):1628.
14. Malladi S, Macalinao DG, Jin X, He L, Basnet H, Zou Y, et al. Metastatic latency and immune evasion through auto‑
crine inhibition of WNT. Cell. 2016;165(1):45–60.
15. Ribas A. Adaptive immune resistance: how cancer protects from immune attack. Cancer Discov. 2015;5(9):915–9.
16. Sosa MS, Bragado P, Aguirre‑Ghiso JA. Mechanisms of disseminated cancer cell dormancy: an awakening field. Nat
Rev Cancer. 2014;14(9):611–22.
17. Barkan D, El Touny LH, Michalowski AM, Smith JA, Chu I, Davis AS, et al. Metastatic growth from dormant cells
induced by a col‑I‑enriched fibrotic environment. Cancer Res. 2010;70(14):5706–16.
Wiecek et al. Genome Biology (2023) 24:128
Page 31 of 35
18. Masago K, Fujita S, Yatabe Y. Targeting minimal residual disease after surgery with molecular targeted therapy: the
real path to a cure? J Thorac Dis. 2018;10(Suppl 17):S1982–5.
19. Coller HA, Sang L, Roberts JM. A new description of cellular quiescence. PLoS Biol. 2006;4(3):e83.
20. Rittershaus ES, Baek SH, Sassetti CM. The normalcy of dormancy: common themes in microbial quiescence. Cell
Host Microbe. 2013;13(6):643–51.
21. Miles S, Bradley GT, Breeden LL. The budding yeast transition to quiescence. Yeast. 2021;38(1):30–8.
22. Marescal O, Cheeseman IM. Cellular mechanisms and regulation of quiescence. Dev Cell. 2020;55(3):259–71.
23. Arora M, Moser J, Phadke H, Basha AA, Spencer SL. Endogenous replication stress in mother cells leads to quies‑
cence of daughter cells. Cell Rep. 2017;19(7):1351–64.
24. Barr AR, Cooper S, Heldt FS, Butera F, Stoy H, Mansfeld J, et al. DNA damage during S‑phase mediates the
proliferation‑quiescence decision in the subsequent G1 via p21 expression. Nat Commun. 2017;8:14728.
25. Heldt FS, Barr AR, Cooper S, Bakal C, Novák B. A comprehensive model for the proliferation‑quiescence decision in
26.
response to endogenous DNA damage in human cells. Proc Natl Acad Sci U S A. 2018;115(10):2532–7.
Itahana K, Dimri GP, Hara E, Itahana Y, Zou Y, Desprez PY, et al. A role for p53 in maintaining and establishing the
quiescence growth arrest in human cells. J Biol Chem. 2002;277(20):18206–14.
27. Sadasivam S, DeCaprio JA. The DREAM complex: master coordinator of cell cycle‑dependent gene expression. Nat
Rev Cancer. 2013;13(8):585–95.
28. Min M, Spencer SL. Spontaneously slow‑cycling subpopulations of human cells originate from activation of stress‑
response pathways. PLoS Biol. 2019;17(3):e3000178.
29. García‑Gutiérrez L, Delgado MD, León J. MYC oncogene contributions to release of cell cycle brakes. Genes (Basel).
2019;10(3):244.
30. Aguirre‑Ghiso JA, Estrada Y, Liu D, Ossowski L. ERK(MAPK) activity as a determinant of tumor growth and dor‑
mancy; regulation by p38(SAPK). Cancer Res. 2003;63(7):1684–95.
31. Spencer SL, Cappell SD, Tsai FC, Overton KW, Wang CL, Meyer T. The proliferation‑quiescence decision is controlled
by a bifurcation in CDK2 activity at mitotic exit. Cell. 2013;155(2):369–83.
32. Miller I, Min M, Yang C, Tian C, Gookin S, Carter D, et al. Ki67 is a graded rather than a binary marker of proliferation
versus quiescence. Cell Rep. 2018;24(5):1105‑12.e5.
33. Reya T, Morrison SJ, Clarke MF, Weissman IL. Stem cells, cancer, and cancer stem cells. Nature.
2001;414(6859):105–11.
34. Kleinsmith LJ, Pierce GB Jr. Multipotentiality of single embryonal carcinoma cells. Cancer Res. 1964;24:1544–51.
35. Ashraf HM, Moser J, Spencer SL. Senescence evasion in chemotherapy: a sweet spot for p21. Cell.
2019;178(2):267–9.
36. Basile KJ, Aplin AE. Resistance to chemotherapy: short‑term drug tolerance and stem cell‑like subpopulations. Adv
Pharmacol. 2012;65:315–34.
37. Basu S, Dong Y, Kumar R, Jeter C, Tang DG. Slow‑cycling (dormant) cancer cells in therapy resistance, cancer
relapse and metastasis. Semin Cancer Biol. 2022;78:90–103.
38. Dey‑Guha I, Alves CP, Yeh AC, Salony, Sole X, Darp R, et al. A mechanism for asymmetric cell division resulting in
proliferative asynchronicity. Mol Cancer Res. 2015;13(2):223–30.
39. Turati VA, Guerra‑Assunção JA, Potter NE, Gupta R, Ecker S, Daneviciute A, et al. Chemotherapy induces canaliza‑
tion of cell state in childhood B‑cell precursor acute lymphoblastic leukemia. Nat Cancer. 2021;2(8):835–52.
40. Lee E, Chuang HY, Kim JW, Ideker T, Lee D. Inferring pathway activity toward precise disease classification. PLoS
Comput Biol. 2008;4(11):e1000217.
41. Barbie DA, Tamayo P, Boehm JS, Kim SY, Moody SE, Dunn IF, et al. Systematic RNA interference reveals that onco‑
genic KRAS‑driven cancers require TBK1. Nature. 2009;462(7269):108–12.
42. Hänzelmann S, Castelo R, Guinney J. GSVA: gene set variation analysis for microarray and RNA‑seq data. BMC
Bioinformatics. 2013;14:7.
43. Foroutan M, Bhuva DD, Lyu R, Horan K, Cursons J, Davis MJ. Single sample scoring of molecular phenotypes. BMC
Bioinformatics. 2018;19(1):404.
44. Aulestia FJ, Néant I, Dong J, Haiech J, Kilhoffer MC, Moreau M, et al. Quiescence status of glioblastoma stem‑like
+
cells involves remodelling of Ca(2
) signalling and mitochondrial shape. Sci Rep. 2018;8(1):9731.
45. Kurppa KJ, Liu Y, To C, Zhang T, Fan M, Vajdi A, et al. Treatment‑induced tumor dormancy through YAP‑mediated
transcriptional reprogramming of the apoptotic pathway. Cancer Cell. 2020;37(1):104‑22.e12.
46. Ebinger S, Özdemir EZ, Ziegenhain C, Tiedt S, Castro Alves C, Grunert M, et al. Characterization of rare, dormant,
and therapy‑resistant cells in acute lymphoblastic leukemia. Cancer Cell. 2016;30(6):849–62.
47. Jordan NV, Bardia A, Wittner BS, Benes C, Ligorio M, Zheng Y, et al. HER2 expression identifies dynamic functional
states within circulating breast cancer cells. Nature. 2016;537(7618):102–6.
48. Buczacki SJA, Popova S, Biggs E, Koukorava C, Buzzelli J, Vermeulen L, et al. Itraconazole targets cell cycle hetero‑
geneity in colorectal cancer. J Exp Med. 2018;215(7):1891–912.
49. Grigore F, Yang H, Hanson ND, VanBrocklin MW, Sarver AL, Robinson JP. BRAF inhibition in melanoma is associated
with the dysregulation of histone methylation and histone methyltransferases. Neoplasia. 2020;22(9):376–89.
50. Vairo G, Soos TJ, Upton TM, Zalvide J, DeCaprio JA, Ewen ME, et al. Bcl‑2 retards cell cycle entry through p27(Kip1),
pRB relative p130, and altered E2F regulation. Mol Cell Biol. 2000;20(13):4745–53.
51. Tirosh I, Izar B, Prakadan SM, Wadsworth MH, Treacy D, Trombetta JJ, et al. Dissecting the multicellular ecosystem
of metastatic melanoma by single‑cell RNA‑seq. Science. 2016;352(6282):189–96.
52. Fujimaki K, Li R, Chen H, Della Croce K, Zhang HH, Xing J, et al. Graded regulation of cellular quiescence
depth between proliferation and senescence by a lysosomal dimmer switch. Proc Natl Acad Sci U S A.
2019;116(45):22624–34.
53. Stallaert W, Kedziora KM, Taylor CD, Zikry TM, Ranek JS, Sobon HK, et al. The structure of the human cell cycle. Cell
Syst. 2022;13(1):103.
54. Zerjatke T, Gak IA, Kirova D, Fuhrmann M, Daniel K, Gonciarz M, et al. Quantitative cell cycle analysis based on an
endogenous all‑in‑one reporter for cell tracking and classification. Cell Rep. 2017;19(9):1953–66.
Wiecek et al. Genome Biology (2023) 24:128
Page 32 of 35
55. Tomasetti C, Vogelstein B. Cancer etiology. Variation in cancer risk among tissues can be explained by the number
of stem cell divisions. Science. 2015;347(6217):78–81.
56. Hernandez‑Segura A, de Jong TV, Melov S, Guryev V, Campisi J, Demaria M. Unmasking transcriptional heteroge‑
neity in senescent cells. Curr Biol. 2017;27(17):2652‑60.e4.
57. Fujimaki K, Yao G. Cell dormancy plasticity: quiescence deepens into senescence through a dimmer switch.
Physiol Genomics. 2020;52(11):558–62.
58. Dimri GP, Lee X, Basile G, Acosta M, Scott G, Roskelley C, et al. A biomarker that identifies senescent human cells in
culture and in aging skin in vivo. Proc Natl Acad Sci. 1995;92(20):9363.
59. Debacq‑Chainiaux F, Erusalimsky JD, Campisi J, Toussaint O. Protocols to detect senescence‑associated
beta‑galactosidase (SA‑betagal) activity, a biomarker of senescent cells in culture and in vivo. Nat Protoc.
2009;4(12):1798–806.
60. Basisty N, Kale A, Jeon OH, Kuehnemann C, Payne T, Rao C, et al. A proteomic atlas of senescence‑associated
secretomes for aging biomarker development. PLoS Biol. 2020;18(1):e3000599.
61. Lee BY, Han JA, Im JS, Morrone A, Johung K, Goodwin EC, et al. Senescence‑associated beta‑galactosidase is
lysosomal beta‑galactosidase. Aging Cell. 2006;5(2):187–95.
62. Noureen N, Wu S, Lv Y, Yang J, Alfred Yung WK, Gelfond J, et al. Integrated analysis of telomerase enzymatic activity
unravels an association with cancer stemness and proliferation. Nat Commun. 2021;12(1):139.
63. Malta TM, Sokolov A, Gentles AJ, Burzykowski T, Poisson L, Weinstein JN, et al. Machine learning identifies stemness
features associated with oncogenic dedifferentiation. Cell. 2018;173(2):338‑54.e15.
64. Fischer M. Census and evaluation of p53 target genes. Oncogene. 2017;36(28):3943–56.
65. Andreassen PR, Lohez OD, Lacroix FB, Margolis RL. Tetraploid state induces p53‑dependent arrest of nontrans‑
formed mammalian cells in G1. Mol Biol Cell. 2001;12(5):1315–28.
66. Di Leonardo A, Khan SH, Linke SP, Greco V, Seidita G, Wahl GM. DNA rereplication in the presence of mitotic spin‑
dle inhibitors in human and mouse fibroblasts lacking either p53 or pRb function. Cancer Res. 1997;57(6):1013–9.
67. Ganem NJ, Cornils H, Chiu SY, O’Rourke KP, Arnaud J, Yimlamai D, et al. Cytokinesis failure triggers hippo tumor
suppressor pathway activation. Cell. 2014;158(4):833–48.
68. Alexandrov LB, Kim J, Haradhvala NJ, Huang MN, Tian Ng AW, Wu Y, et al. The repertoire of mutational signatures in
human cancer. Nature. 2020;578(7793):94–101.
69. Alexandrov LB, Nik‑Zainal S, Wedge DC, Aparicio SAJR, Behjati S, Biankin AV, et al. Signatures of mutational pro‑
cesses in human cancer. Nature. 2013;500(7463):415–21.
70. Pich O, Muiños F, Lolkema MP, Steeghs N, Gonzalez‑Perez A, Lopez‑Bigas N. The mutational footprints of cancer
therapies. Nat Genet. 2019;51(12):1732–40.
71. Miyazono K, Maeda S, Imamura T. Coordinate regulation of cell growth and differentiation by TGF‑beta superfam‑
ily and Runx proteins. Oncogene. 2004;23(24):4232–7.
72. Cibis H, Biyanee A, Dörner W, Mootz HD, Klempnauer KH. Characterization of the zinc finger proteins ZMYM2 and
ZMYM4 as novel B‑MYB binding proteins. Sci Rep. 2020;10(1):8390.
73. Maley CC, Reid BJ. Natural selection in neoplastic progression of Barrett’s esophagus. Semin Cancer Biol.
2005;15(6):474–83.
74. Bardeesy N, DePinho RA. Pancreatic cancer biology and genetics. Nat Rev Cancer. 2002;2(12):897–909.
75.
Indovina P, Pentimalli F, Casini N, Vocca I, Giordano A. RB1 dual role in proliferation and apoptosis: cell fate control
and implications for cancer therapy. Oncotarget. 2015;6(20):17873–90.
76. Mas‑Ponte D, Supek F. DNA mismatch repair promotes APOBEC3‑mediated diffuse hypermutation in human
cancers. Nat Genet. 2020;52(9):958–68.
77. Kloor M, von Knebel DM. The immune biology of microsatellite‑unstable cancer. Trends Cancer. 2016;2(3):121–33.
78. Cortes‑Ciriano I, Lee S, Park W‑Y, Kim T‑M, Park PJ. A molecular portrait of microsatellite instability across multiple
cancers. Nat Commun. 2017;8(1):15180.
79. Ben‑David U, Siranosian B, Ha G, Tang H, Oren Y, Hinohara K, et al. Genetic and transcriptional evolution alters
cancer cell line drug response. Nature. 2018;560(7718):325–30.
80. Yersal O, Barutca S. Biological subtypes of breast cancer: prognostic and therapeutic implications. World J Clin
Oncol. 2014;5(3):412–24.
81. Jakobsen L, Vanselow K, Skogs M, Toyoda Y, Lundberg E, Poser I, et al. Novel asymmetrically localizing components
of human centrosomes identified by complementary proteomics methods. EMBO J. 2011;30(8):1520–35.
82. Sillibourne JE, Specht CG, Izeddin I, Hurbain I, Tran P, Triller A, et al. Assessing the localization of centrosomal pro‑
teins by PALM/STORM nanoscopy. Cytoskeleton (Hoboken). 2011;68(11):619–27.
83. Bettencourt‑Dias M, Glover DM. Centrosome biogenesis and function: centrosomics brings new understanding.
Nat Rev Mol Cell Biol. 2007;8(6):451–63.
84. Grallert A, Chan KY, Alonso‑Nuñez ML, Madrid M, Biswas A, Alvarez‑Tabarés I, et al. Removal of centrosomal
PP1 by NIMA kinase unlocks the MPF feedback loop to promote mitotic commitment in S. pombe. Curr Biol.
2013;23(3):213–22.
85. Wigley WC, Fabunmi RP, Lee MG, Marino CR, Muallem S, DeMartino GN, et al. Dynamic association of proteasomal
86.
machinery with the centrosome. J Cell Biol. 1999;145(3):481–90.
Itoh K, Jenny A, Mlodzik M, Sokol SY. Centrosomal localization of Diversin and its relevance to Wnt signaling. J Cell
Sci. 2009;122(Pt 20):3791–8.
87. Kfoury Y, Nasr R, Favre‑Bonvin A, El‑Sabban M, Renault N, Giron ML, et al. Ubiquitylated Tax targets and binds the
IKK signalosome at the centrosome. Oncogene. 2008;27(12):1665–76.
88. Lin A, Wang RT, Ahn S, Park CC, Smith DJ. A genome‑wide map of human genetic interactions inferred from radia‑
tion hybrid genotypes. Genome Res. 2010;20(8):1122–32.
89. de Almeida BP, Vieira AF, Paredes J, Bettencourt‑Dias M, Barbosa‑Morais NL. Pan‑cancer association of a centro‑
some amplification gene expression signature with genomic alterations and clinical outcome. PLoS Comput Biol.
2019;15(3):e1006832.
Wiecek et al. Genome Biology (2023) 24:128
Page 33 of 35
90. Kohlmaier G, Loncarek J, Meng X, McEwen BF, Mogensen MM, Spektor A, et al. Overly long centrioles and defec‑
tive cell division upon excess of the SAS‑4‑related protein CPAP. Curr Biol. 2009;19(12):1012–8.
91. Tang C‑JC, Fu R‑H, Wu K‑S, Hsu W‑B, Tang TK. CPAP is a cell‑cycle regulated protein that controls centriole length.
Nat Cell Biol. 2009;11(7):825–31.
92. Wagle MC, Kirouac D, Klijn C, Liu B, Mahajan S, Junttila M, et al. A transcriptional MAPK Pathway Activity Score
(MPAS) is a clinically relevant biomarker in multiple cancer types. NPJ Precis Oncol. 2018;2(1):7.
93. Hafner M, Mills CE, Subramanian K, Chen C, Chung M, Boswell SA, et al. Multiomics profiling establishes the polyp‑
harmacology of FDA‑approved CDK4/6 inhibitors and the potential for differential clinical activity. Cell Chem Biol.
2019;26(8):1067‑80.e8.
94. Salvador‑Barbero B, Álvarez‑Fernández M, Zapatero‑Solana E, El Bakkali A, Menéndez MDC, López‑Casas PP, et al.
CDK4/6 inhibitors impair recovery from cytotoxic chemotherapy in pancreatic adenocarcinoma. Cancer Cell.
2020;37(3):340‑53.e6.
95. Guiley KZ, Stevenson JW, Lou K, Barkovich KJ, Kumarasamy V, Wijeratne TU, et al. p27 allosterically activates cyclin‑
dependent kinase 4 and antagonizes palbociclib inhibition. Science. 2019;366(6471):eaaw2106.
96. Pack LR, Daigh LH, Chung M, Meyer T. Clinical CDK4/6 inhibitors induce selective and immediate dissociation of
p21 from cyclin D‑CDK4 to inhibit CDK2. Nat Commun. 2021;12(1):3356.
97. Zhu X, Chen L, Huang B, Wang Y, Ji L, Wu J, et al. The prognostic and predictive potential of Ki‑67 in triple‑negative
breast cancer. Sci Rep. 2020;10(1):225.
98. Solé L, Lobo‑Jarne T, Álvarez‑Villanueva D, Alonso‑Marañón J, Guillén Y, Guix M, et al. p53 wild‑type colorectal
cancer cells that express a fetal gene signature are associated with metastasis and poor prognosis. Nat Commun.
2022;13(1):2866.
99. Brown JA, Yonekubo Y, Hanson N, Sastre‑Perona A, Basin A, Rytlewski JA, et al. TGF‑β‑induced quiescence mediates
chemoresistance of tumor‑propagating cells in squamous cell carcinoma. Cell Stem Cell. 2017;21(5):650‑64.e8.
100. Park SR, Namkoong S, Friesen L, Cho CS, Zhang ZZ, Chen YC, et al. Single‑cell transcriptome analysis of colon
cancer cell response to 5‑fluorouracil‑induced DNA damage. Cell Rep. 2020;32(8):108077.
101. Tan X, Thapa N, Sun Y, Anderson RA. A kinase‑independent role for EGF receptor in autophagy initiation. Cell.
2015;160(1–2):145–60.
102. Srivatsan SR, McFaline‑Figueroa JL, Ramani V, Saunders L, Cao J, Packer J, et al. Massively multiplex chemical tran‑
scriptomics at single‑cell resolution. Science. 2020;367(6473):45–51.
103. Hatzis C, Pusztai L, Valero V, Booser DJ, Esserman L, Lluch A, et al. A genomic predictor of response and survival
following taxane‑anthracycline chemotherapy for invasive breast cancer. JAMA. 2011;305(18):1873–81.
104. Lee JS, Nair NU, Dinstag G, Chapman L, Chung Y, Wang K, et al. Synthetic lethality‑mediated precision oncology via
the tumor transcriptome. Cell. 2021;184(9):2487‑502.e13.
105. Moser J, Miller I, Carter D, Spencer SL. Control of the restriction point by Rb and p21. Proc Natl Acad Sci U S A.
2018;115(35):E8219–27.
106. Bačević K, Lossaint G, Achour TN, Georget V, Fisher D, Dulić V. Cdk2 strengthens the intra‑S checkpoint and coun‑
teracts cell cycle exit induced by DNA damage. Sci Rep. 2017;7(1):13429.
107. Terzi MY, Izmirli M, Gogebakan B. The cell fate: senescence or quiescence. Mol Biol Rep. 2016;43(11):1213–20.
108. Kleffel S, Schatton T. Tumor dormancy and cancer stem cells: two sides of the same coin? Adv Exp Med Biol.
2013;734:145–79.
109. Miller AK, Brown JS, Enderling H, Basanta D, Whelan CJ. The evolutionary ecology of dormancy in nature and in
cancer. Front Ecol Evol. 2021;9:676802.
110. Considine MJ, Considine JA. On the language and physiology of dormancy and quiescence in plants. J Exp Bot.
2016;67(11):3189–203.
111. Velappan Y, Signorelli S, Considine MJ. Cell cycle arrest in plants: what distinguishes quiescence, dormancy and
differentiated G1? Ann Bot. 2017;120(4):495–509.
112. Sosa MS, Parikh F, Maia AG, Estrada Y, Bosch A, Bragado P, et al. NR2F1 controls tumour cell dormancy via SOX9‑
and RARβ‑driven quiescence programmes. Nat Commun. 2015;6:6170.
113. Fox DB, Garcia NMG, McKinney BJ, Lupo R, Noteware LC, Newcomb R, et al. NRF2 activation promotes the
recurrence of dormant tumour cells through regulation of redox and nucleotide metabolism. Nat Metab.
2020;2(4):318–34.
114. Berkel C, Cacan E. Copy number and expression of CEP89, a protein required for ciliogenesis, are increased and
predict poor prognosis in patients with ovarian cancer. Cell Biochem Funct. 2022;40(3):298–309.
115. Tanos BE, Yang HJ, Soni R, Wang WJ, Macaluso FP, Asara JM, et al. Centriole distal appendages promote membrane
docking, leading to cilia initiation. Genes Dev. 2013;27(2):163–8.
116. Sillibourne JE, Hurbain I, Grand‑Perret T, Goud B, Tran P, Bornens M. Primary ciliogenesis requires the distal append‑
age component Cep123. Biol Open. 2013;2(6):535–45.
117. Wheway G, Nazlamova L, Hancock JT. Signaling through the primary cilium. Front Cell Dev Biol. 2018;6:8.
118. van Bon BW, Oortveld MA, Nijtmans LG, Fenckova M, Nijhof B, Besseling J, et al. CEP89 is required for mitochondrial
metabolism and neuronal function in man and fly. Hum Mol Genet. 2013;22(15):3138–51.
119. Huang R, Chen H, Liang J, Li Y, Yang J, Luo C, et al. Dual role of reactive oxygen species and their application in
cancer therapy. J Cancer. 2021;12(18):5543–61.
120. Gupta J, del Barco BI, Igea A, Sakellariou S, Pateras IS, Gorgoulis VG, et al. Dual function of p38α MAPK in colon
cancer: suppression of colitis‑associated tumor initiation but requirement for cancer cell survival. Cancer Cell.
2014;25(4):484–500.
121. Moon EJ, Giaccia A. Dual roles of NRF2 in tumor prevention and progression: possible implications in cancer treat‑
ment. Free Radic Biol Med. 2015;79:292–9.
122. Sosa MS, Avivar‑Valderas A, Bragado P, Wen HC, Aguirre‑Ghiso JA. ERK1/2 and p38α/β signaling in tumor cell
quiescence: opportunities to control dormant residual disease. Clin Cancer Res. 2011;17(18):5850–7.
123. Minassian LM, Cotechini T, Huitema E, Graham CH. Hypoxia‑induced resistance to chemotherapy in cancer. Adv
Exp Med Biol. 2019;1136:123–39.
Wiecek et al. Genome Biology (2023) 24:128
Page 34 of 35
124. Aguirre‑Ghiso JA, Sosa MS. Emerging topics on disseminated cancer cell dormancy and the paradigm of metasta‑
sis. Annu Rev Cancer Biol. 2018;2(1):377–93.
125. Johnson WE, Li C, Rabinovic A. Adjusting batch effects in microarray expression data using empirical Bayes meth‑
ods. Biostatistics. 2007;8(1):118–27.
126. Amezquita RA, Lun ATL, Becht E, Carey VJ, Carpp LN, Geistlinger L, et al. Orchestrating single‑cell analysis with
bioconductor. Nat Methods. 2020;17(2):137–45.
127. McCarthy DJ, Campbell KR, Lun ATL, Wills QF. Scater: pre‑processing, quality control, normalization and visualiza‑
tion of single‑cell RNA‑seq data in R. Bioinformatics. 2017;33(8):1179–86.
128. Lun AT, McCarthy DJ, Marioni JC. A step‑by‑step workflow for low‑level analysis of single‑cell RNA‑seq data with
Bioconductor. F1000Res. 2016;5:2122.
129. Barretina J, Caponigro G, Stransky N, Venkatesan K, Margolin AA, Kim S, et al. The Cancer Cell Line Encyclopedia
enables predictive modelling of anticancer drug sensitivity. Nature. 2012;483(7391):603–7.
130. Colaprico A, Silva TC, Olsen C, Garofano L, Cava C, Garolini D, et al. TCGAbiolinks: an R/Bioconductor package for
integrative analysis of TCGA data. Nucleic Acids Res. 2016;44(8):e71.
131. Hoadley KA, Yau C, Hinoue T, Wolf DM, Lazar AJ, Drill E, et al. Cell‑of‑origin patterns dominate the molecular clas‑
sification of 10,000 tumors from 33 types of cancer. Cell. 2018;173(2):291‑304.e6.
132. Zhang P, Kitchen‑Smith I, Xiong L, Stracquadanio G, Brown K, Richter PH, et al. Germline and somatic genetic
variants in the p53 pathway interact to affect cancer risk, progression, and drug response. Cancer Res.
2021;81(7):1667–80.
133. Wiecek AJ, Jacobson DH, Lason W, Secrier M. Pan‑cancer survey of tumor mass dormancy and underlying muta‑
tional processes. Front Cell Dev Biol. 2021;9:1820.
134. Taylor AM, Shih J, Ha G, Gao GF, Zhang X, Berger AC, et al. Genomic and functional approaches to understanding
cancer aneuploidy. Cancer Cell. 2018;33(4):676‑89.e3.
135. Moon KR, van Dijk D, Wang Z, Gigante S, Burkhardt DB, Chen WS, et al. Visualizing structure and transitions in high‑
dimensional biological data. Nat Biotechnol. 2019;37(12):1482–92.
136. Leek JT, Johnson WE, Parker HS, Jaffe AE, Storey JD. The sva package for removing batch effects and other
unwanted variation in high‑throughput experiments. Bioinformatics. 2012;28(6):882–3.
137. Warde‑Farley D, Donaldson SL, Comes O, Zuberi K, Badrawi R, Chao P, et al. The GeneMANIA prediction server: bio‑
logical network integration for gene prioritization and predicting gene function. Nucleic Acids Res. 2010;38(Web
Server issue):W214‑20.
138. Kamburov A, Pentchev K, Galicka H, Wierling C, Lehrach H, Herwig R. ConsensusPathDB: toward a more complete
picture of cell biology. Nucleic Acids Res. 2011;39(Database issue):D712‑7.
139. Shannon P, Markiel A, Ozier O, Baliga NS, Wang JT, Ramage D, et al. Cytoscape: a software environment for inte‑
grated models of biomolecular interaction networks. Genome Res. 2003;13(11):2498–504.
140. Pearl LH, Schierz AC, Ward SE, Al‑Lazikani B, Pearl FMG. Therapeutic opportunities within the DNA damage
response. Nat Rev Cancer. 2015;15(3):166–80.
141. Cerami E, Gao J, Dogrusoz U, Gross BE, Sumer SO, Aksoy BA, et al. The cBio cancer genomics portal: an open plat‑
form for exploring multidimensional cancer genomics data. Cancer Discov. 2012;2(5):401–4.
142. Kan Z, Ding Y, Kim J, Jung HH, Chung W, Lal S, et al. Multi‑omics profiling of younger Asian breast cancers reveals
distinctive molecular signatures. Nat Commun. 2018;9(1):1725.
143. Curtis C, Shah SP, Chin SF, Turashvili G, Rueda OM, Dunning MJ, et al. The genomic and transcriptomic architecture
of 2,000 breast tumours reveals novel subgroups. Nature. 2012;486(7403):346–52.
144. Gadd S, Huff V, Walz AL, Ooms AHAG, Armstrong AE, Gerhard DS, et al. A Children’s Oncology Group and TARGET
145.
initiative exploring the genetic landscape of Wilms tumor. Nat Genet. 2017;49(10):1487–94.
Iyer G, Al‑Ahmadie H, Schultz N, Hanrahan AJ, Ostrovnaya I, Balar AV, et al. Prevalence and co‑occurrence of action‑
able genomic alterations in high‑grade bladder cancer. J Clin Oncol. 2013;31(25):3133–40.
146. Taylor BS, Schultz N, Hieronymus H, Gopalan A, Xiao Y, Carver BS, et al. Integrative genomic profiling of human
prostate cancer. Cancer Cell. 2010;18(1):11–22.
147. Barretina J, Taylor BS, Banerji S, Ramos AH, Lagos‑Quintana M, Decarolis PL, et al. Subtype‑specific genomic altera‑
tions define new targets for soft‑tissue sarcoma therapy. Nat Genet. 2010;42(8):715–21.
148. Moiso E. Manual curation of TCGA treatment data and identification of potential markers of therapy response.
medRxiv. 2021:2021.04.30.21251941.
149. Therizols G, Bash‑Imam Z, Panthu B, Machon C, Vincent A, Ripoll J, et al. Alteration of ribosome function upon
5‑fluorouracil treatment favors cancer cell drug‑tolerance. Nat Commun. 2022;13(1):173.
150. Hoogstraat M, Lips EH, Mayayo‑Peralta I, Mulder L, Kristel P, van der Heijden I, et al. Comprehensive characteriza‑
tion of pre‑ and post‑treatment samples of breast cancer reveal potential mechanisms of chemotherapy resist‑
ance. NPJ Breast Cancer. 2022;8(1):60.
151. Pinyol R, Montal R, Bassaganyas L, Sia D, Takayama T, Chau GY, et al. Molecular predictors of prevention of
recurrence in HCC with sorafenib as adjuvant treatment and prognostic factors in the phase 3 STORM trial. Gut.
2019;68(6):1065–75.
152. Rizos H, Menzies AM, Pupo GM, Carlino MS, Fung C, Hyman J, et al. BRAF inhibitor resistance mechanisms in meta‑
static melanoma: spectrum and clinical impact. Clin Cancer Res. 2014;20(7):1965–77.
153. Hugo W, Shi H, Sun L, Piva M, Song C, Kong X, et al. Non‑genomic and immune evolution of melanoma acquiring
MAPKi resistance. Cell. 2015;162(6):1271–85.
154. Dieci MV, Prat A, Tagliafico E, Paré L, Ficarra G, Bisagni G, et al. Integrated evaluation of PAM50 subtypes and
immune modulation of pCR in HER2‑positive breast cancer patients treated with chemotherapy and HER2‑
targeted agents in the CherLOB trial. Ann Oncol. 2016;27(10):1867–73.
155. Terragna C, Remondini D, Martello M, Zamagni E, Pantani L, Patriarca F, et al. The genetic and genomic background
of multiple myeloma patients achieving complete response after induction therapy with bortezomib, thalidomide
and dexamethasone (VTD). Oncotarget. 2016;7(9):9666–79.
Wiecek et al. Genome Biology (2023) 24:128
Page 35 of 35
156. Kakavand H, Rawson RV, Pupo GM, Yang JYH, Menzies AM, Carlino MS, et al. PD‑L1 Expression and immune escape
in melanoma resistance to MAPK inhibitors. Clin Cancer Res. 2017;23(20):6054–61.
157. Wiecek A, Secrier M. Genomic hallmarks and therapeutic implications of G0 cell cycle arrest in cancer. Github;
2023. https:// github. com/ secri erlab/ Cance rG0Ar rest.
158. Wiecek A, Secrier M. Genomic hallmarks and therapeutic implications of G0 cell cycle arrest in cancer. Zenodo;
2023. https:// zenodo. org/ record/ 78406 73.
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| null |
10.1371_journal.pone.0261071.pdf
|
Data Availability Statement: Data are available
from the Zenodo database (DOI: 10.5281/zenodo.
5774499).
|
Data are available from the Zenodo database (DOI: 10.5281/zenodo. 5774499 ).
|
RESEARCH ARTICLE
Effects of weather and moon phases on
emergency medical use after fall injury: A
population-based nationwide study
Min Ah Yuh1, Kisung KimID
Jinwoo Kim5, Sungyoup HongID
1*
2, Seon Hee Woo3, Sikyoung Jeong1, Juseok OhID
4,
a1111111111
a1111111111
a1111111111
a1111111111
a1111111111
OPEN ACCESS
Citation: Yuh MA, Kim K, Woo SH, Jeong S, Oh J,
Kim J, et al. (2021) Effects of weather and moon
phases on emergency medical use after fall injury:
A population-based nationwide study. PLoS ONE
16(12): e0261071. https://doi.org/10.1371/journal.
pone.0261071
Editor: Quan Yuan, Tsinghua University, CHINA
Received: May 8, 2021
Accepted: November 23, 2021
Published: December 31, 2021
Copyright: © 2021 Yuh et al. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
1 Department of Emergency Medicine, Daejeon St Mary’s Hospital, The Catholic University of Korea College
of Medicine, Seoul, Republic of Korea, 2 BioBrain Inc, Daejeon, Republic of Korea, 3 Department of
Emergency Medicine, Incheon St Mary’s Hospital, The Catholic University of Korea College of Medicine,
Seoul, Republic of Korea, 4 Department of Emergency Medicine, Uijeongbu St Mary’s Hospital, The Catholic
University of Korea College of Medicine, Seoul, Republic of Korea, 5 Department of Emergency Medical
Service, Daejeon Health Institute of Technology, Daejeon, Republic of Korea
* emhong@catholic.ac.kr
Abstract
Background
Previous studies reported that changes in weather and phases of moon are associated with
medical emergencies and injuries. However, such studies were limited to hospital or com-
munity level without explaining the combined effects of weather and moon phases. We
investigated whether changes in weather and moon phases affected emergency depart-
ment (ED) visits due to fall injuries (FIs) based on nationwide emergency patient registry
data.
Methods
Nationwide daily data of ED visits after FI were collected from 11 provinces (7 metropolitan
cities and 4 rural provinces) in Korea between January 2014 and December 2018. The daily
number of FIs was standardized into FI per million population (FPP) in each province. A mul-
tivariate regression analysis was conducted to elucidate the relationship between weather
factors and moon phases with respect to daily FPP in each province. The correlation
between weather factors and FI severity was also analyzed.
Data Availability Statement: Data are available
from the Zenodo database (DOI: 10.5281/zenodo.
5774499).
Results
Funding: We declare that this study was supported
by Daejeon St. Mary’s Hospital, Clinical Research
Institute Grant No. CMCDJ-P-2021013. The
funders had no role in study design, data collection
and analysis, decision to publish, or preparation of
the manuscript.
Competing interests: The authors have declared
that no competing interests exist.
The study analyzed 666,912 patients (418,135 in metropolitan and 248,777 in rural areas)
who visited EDs on weekdays. No regional difference was found in age or gender distribu-
tion between the two areas. Precipitation, minimum temperature and wind speed showed a
significant association with FI in metropolitan areas. In addition, sunshine duration was also
substantial risk factors for FI in rural areas. The incidence of FIs was increased on full moon
days than on other days in rural areas. Injury severity was associated with weather factors
such as minimum temperature, wind speed, and cloud cover.
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PLOS ONEEffects of weather and moon phases on EM use
Conclusion
Weather changes such as precipitation, minimum temperature, and wind speed are associ-
ated with FI in metropolitan and rural areas. In addition, sunshine duration and full moon are
significantly associated with FI incidence only in rural areas. Weather factors are associated
with FI severity.
Introduction
Accurate prediction of the need for emergency medical care is critical to provide appropriate
services for patients with injuries. Therefore, many countries have an emergency medical sys-
tem data registry collected during pre-hospital and in-hospital phases to design emergency
medical service (EMS) and implement public health monitoring and planning.
Fall injury (FI) is the second major cause of accidental or unintended injury-related deaths
worldwide [1]. The mechanism of injury for falls is vertical deceleration due to the force of
gravity high place or loss of balance on a slippery surface. FIs in older or disabled individuals
increase in winter due to low temperatures and long nights [2]. The slippery ground caused by
melting ice, snow-covered ice, and ice is a typical cause of FI in winter [3]. The incidence of
FIs is known to have a seasonal variation depending on geographical location, such as coun-
tries with a cold climate (Russia, Canada, Sweden, Finland, and Norway) [4, 5] and countries
with a warm tropical climate, such as Hong Kong [6].
Weather conditions have been reported to influence the occurrence of trauma and disease.
Poor weather conditions may lead to traumatic events [7, 8]. However, other studies reported
that outdoor activities even in good weather are related to increased incidence of all kinds of
injuries [9]. If we target FI only, snowfall and icy surfaces were associated with FIs in late
autumn and winter [6, 7, 10]. But another study reported the increased frequency of FIs was
found in better weather with medium mean air temperature and atmospheric pressure during
warm season [4].
A full moon has been reportedly associated with potential emergency department (ED) visits
after traffic accidents [11] and mortality after motorcycle crashes and accidents [12]. However,
Stomp et al. reported that phases other than full moon increased ED visits after all kinds of
trauma [9]. Such difference might be attributed to the use of nationwide statistics of road car
accidents in two of the three studies, whereas Stomp et al. [9] used all types of trauma data from
one ED located in a small suburban area of Netherlands. Therefore, findings from these studies
were limited by small sample size in specific regions, restricted data sources or target injury.
In summary, previous studies evaluated the role of weather and lunar phases; however, the
findings were limited to specific region or involved a small sample size. To prevent unwanted
medical errors due to ED crowding and provide prompt and appropriate EMS, it is vital to
foresee the demand for emergency medical use due to FIs. The primary purpose of this study
was to assess the FI prevalence according to regional characteristics, weather changes and
moon phases using the nationwide longitude data. The secondary goal was to determine the
effects of weather factors and moon phases on FI severity.
Materials and methods
Study design and data collection
To analyze the association of FI incidence with weather factors and lunar phases, a nationwide
epidemiological analysis was conducted based on emergency department usage data obtained
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PLOS ONEEffects of weather and moon phases on EM use
from all emergency centers in Korea. The population of mainland Korea and its affiliated
islands of 99,000 km2 is approximately 50 million. Korea has a total of 420 registered ERs that
are open to all beneficiaries without restriction. The National Emergency Department Infor-
mation System (NEDIS) operated by the National Emergency Medical Center (NEMC) pro-
spectively collected data of patients who visited all Korean EDs since 2005. This study used the
NEDIS data of patients who visited emergency centers after FI, including age, gender, region
of occurrence, onset time, injury mechanism, injury severity with Korean Triage and Acuity
Scale (KTAS), and outcome of emergency care from January 2014 to December 2018. No per-
sonal identifier was included in these data. Data were stored in a secured personal computer.
KTAS score consists of five levels of acuity: level 1 (resuscitation), level 2 (urgent), level 3
(emergent), level 4 (non-urgent), and level 5 (delayed). The KTAS was developed as a single
triage tool for emergency patients in Korea and has since become nationalized [13].
Daily weather data including precipitation, minimum temperature, mean wind speed
(wind speed), sunshine and fog duration, and cloud cover were obtained from the Korea Mete-
orological Agency (KMA). Daily precipitation was calculated as the sum of hourly measure-
ments for 24 hours. Cloud cover was calculated in integers ranging from 0 to 10 tenths based
on visual cloud cover observations from each observation site. A weather station located in the
capital city of each province in Korea was selected to represent the weather data collection
point. Moon phase data were obtained from a website (https://www.timeanddate.com/moon/
phases/south-korea/).
First, pediatric patients under the age of 15 years were excluded from the collected data. FI
patients on weekdays excluding Saturday, Sunday, and public holidays (New Year’s Day,
Lunar New Year’s Day, Children’s Day, Korean Independence Day, Lunar Thanksgiving Day
and Christmas) were also excluded from this study. We analyzed data from a total of 743
nights (182 new moon days, 186 first quarter and full moon days, and 189 3rd quarter nights).
The full moon period was determined for three days starting from one night before to one
night after the peak full moon night. The same rule was applied to other moon phases.
Annual mid-population data of each province were obtained from the central organization
for Statistics of Korea (http://kostat.go.kr/portal/eng/index.action).
Outcome measurement
We counted the daily number of patients who visited EDs after a FI for each province. The
number of daily FIs was standardized into FIs per million population (FPP) by dividing with
an annual mid-population of the province. This study compared FPP and severity of FI
between two regions: 1) metropolitan areas consisting of provinces with a population of more
than one million; and 2) rural areas without metropolitan cities within the perimeter of the
provincial limit (S1 Fig). The primary outcome was the daily number of ED visits due to FI. It
was calculated as the number of patients per million people. The secondary outcome was
injury severity of patients and was determined by the mean KTAS score of all daily FI patients
in the designated area.
Statistical analysis
The chi-square test is extremely sensitive to sample size. If the sample size is too large (> 500),
any small differences appear statistically significant [14]. Hence, we used Cramer’s V statistics
instead of Chi-square test to estimate the association of ordinary factors between two regions.
The means of the continuous variable were compared using Student’s t-test between two
regions. The number of FI events in a fixed time interval was modeled using Poisson distribu-
tion, and thus a generalized linear model (GLM) with a Poisson distribution and log-linear
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PLOS ONEEffects of weather and moon phases on EM use
function was used to assess the significance of association between dependent variable (FPP
for each day) and independent variables including weather factors and lunar phases. All vari-
ables with a p value < 0.2 in the univariate analysis were entered into multivariate analysis.
The incidence risk ratios (IRRs) and their 95% confidence intervals (CIs) were calculated for
each independent variable. Theoretical FI incidence-factor curve was approximated via non-
linear curve fitting with Boltzmann sigmoidal function and illustrated with scatter plots. The
correlation between weather factors and daily mean KTAS was analyzed using Pearson corre-
lation coefficients. All statistical analyses were analyzed using Origin Pro (OriginLab, North-
ampton, MA) and Rstudio 1.4.1717 (RStudio Inc, Boston, MA). Statistically significant
difference was indicated by a p value 0.050 or less.
Ethical approval
The study protocol was reviewed and approved by the Institutional Review Board of Daejeon
St Mary’s Hospital, The Catholic University of Korea (DC21ZIS10034).
Results
Demographic characteristics of the study subjects
Of 1,476,652 people included in the registry with FI, 1,065,637 were older than 15 years in
Korea between Jan 2014 and Dec 2018 (Fig 1). FPPs were significant higher on weekends than
on weekdays (P < 0.010, S2 Fig). Hence, we excluded FI cases on weekend and holidays to pre-
vent bias. Finally, 666,912 patients (418,135 in metropolitan and 248,777 in rural areas) on
weekdays were analyzed in this study. The mean age of patients finally enrolled was 54.4 ± 20.4
years. There was no significant association with age distribution between the two regions, but
the proportion of male patients was significantly higher in the rural areas (Table 1, P < 0.01).
The distribution of FI between the two regions was balanced with no monthly difference. Of
the total patients, 69, 563, 66, 755, 69, 573, and 69,783 patients suffered FIs on the new moon,
1st quarter, full moon, and 3rd quarter days, respectively. A notably higher number of FIs
occurred on full moon days (Table 1, P < 0.010) and a significantly higher proportion of
patients were brought to ED in an ambulance in the rural areas (Table 1, p = 0.017).
In the rural areas of this study, the proportion of severe patients with KTAS scores of 1 to 2
was significantly lower, and the proportion of patients with KTAS scores from 3 to 5 was
higher (Table 1, Cramer’s V = 0.076). The proportion of mentally alert patients was higher
(V = 0.022) than in the metropolitan areas. The systolic and diastolic blood pressure and pulse
rate per minute of FI patients in the rural areas were significantly higher in rural areas than in
metropolitan areas.
Relationship of FI incidence with weather and moon phase
Pooled associations of the daily FPP with weather and moon phase are presented in Table 2,
Fig 2 (metropolitan area), and Table 3, Fig 3 (rural area). Among weather factors, precipita-
tion, minimum temperature, and wind speed showed a significant association with FI in met-
ropolitan areas (Table 2). FIs occurred frequently on days with lower precipitation, lower
minimum temperature, and low-wind days in metropolitan areas (Fig 2). In rural areas, FIs
have been shown to increase significantly on days with lower precipitation levels, higher mini-
mum temperatures, higher wind speed and longer sunshine duration (Table 3, Fig 3).
The distribution of FI patients was compared according to moon phase. The frequency of
FIs was higher on full moon days than on new moon days in rural areas (Table 1, p < 0.010).
Full moon was a significant predictor of FIs in univariate analysis in rural area (Table 3,
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PLOS ONEEffects of weather and moon phases on EM use
Fig 1. Schematic diagram showing the selection of study population for this study.
https://doi.org/10.1371/journal.pone.0261071.g001
p = 0.048) but not significant in multivariate analysis. Based on the interaction analysis, the
new moon phase showed a significant interaction with precipitation and wind speed in rural
areas. However, there was no significant difference in the incidence of FI as similar FIs
occurred on all days in metropolitan areas (Tables 1 and 2).
Correlation of weather factors with FI severity
The severity of FI was measured using KTAS assessed upon ED arrival. KTAS 1 refers to a
state warranting emergency resuscitation, and KTAs 5 indicates absence of emergency. Injury
severity (daily mean KTAS for each province) was significantly correlated with minimum tem-
perature and wind speed and thus the injury severity was increased on cold windless days in
both areas (Table 4). Additionally, in rural areas, the daily mean KTAS was significantly corre-
lated with cloud cover. Precipitation, sunshine, and fog duration were not associated with the
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PLOS ONETable 1. Demographic features of subjects who visited ED after a fall injury.
Effects of weather and moon phases on EM use
Variable
Age
Sex
Month
Moon phase
Route
15–19
20–24
25–29
30–34
35–39
40–44
45–49
50–54
55–59
60–64
65–69
70–74
75–79
80–84
85–89
90–94
95–99
100–104
105–109
110–120
Male
Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
New moon
1st quarter
Full moon
Last quarter
other
Ambulance
Private car
Ambulation
Metropolitan
(n = 418,135)
N (%)
Rural
Cramer’s V or p value
(n = 248,777)
N (%)
25,423 (5.0)
28,389 (5.6)
29,192 (5.6)
29,566 (5.8)
27,869 (5.5)
30,840 (6.1)
36,172 (7.1)
43,583 (8.6)
48,404 (9.5)
38,986 (7.7)
35,154 (6.9)
37,268 (7.3)
39,169 (7.7)
31,347 (6.2)
17,844 (3.5)
6,660 (1.3)
1,393 (0.3)
183 (0.0)
24 (0.0)
8 (0.0)
7,299 (5.7)
7,864 (5.5)
7,795 (4.7)
7,988 (5.0)
7,780 (5.6)
8,706 (6.5)
10,245 (7.7)
12,272 (9.1)
13,521 (9.1)
10,742 (7.3)
9,593 (6.3)
10,214 (6.8)
10,960 (7.9)
8,844 (6.6)
5,034 (3.7)
1,893 (1.4)
409 (0.3)
59 (0.1)
13 (0.0)
3 (0.0)
258,579 (51.0)
132,101(53.1)
44,515(8.8)
38,357 (7.7)
39,581 (7.8)
40,136 (7.9)
44,224 (8.7)
38,029 (7.5)
39,968 (7.9)
41,564 (8.2)
43,425 (8.6)
46,051 (9.1)
42,183 (8.3)
49,410 (9.7)
44,461 (10.6)
41,531 (9.9)
43,107 (10.3)
44,059 (10.5)
244,713 (58.6)
439,439 (86.6)
65,574 (12.9)
2,227 (0.4)
12,288 (8.7)
10,381 (7.4)
10,448 (7.4)
10,939 (7.8)
12,420 (8.8)
10,928 (7.7)
11,315 (8.0)
12,131(8.6)
12,371 (8.8)
13,404 (9.5)
11,675 (8.3)
12,931 (9.2)
25,102 (10.1)
25,224 (10.1)
26,466 (10.6)
25,679 (10.3)
146,306 (58.8)
124,180 (87.9)
16,504 (11.7)
520 (0.3)
V = 0.001
P< 0.010
V = 0.020
p <0.010
p = 0.017
(Continued )
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PLOS ONETable 1. (Continued)
Variable
KTAS
Mental
SBP
DBP
PR
1
2
3
4
5
Alert
Verbal response
Pain response
Unresponsive
Effects of weather and moon phases on EM use
Metropolitan
(n = 418,135)
N (%)
Rural
Cramer’s V or p value
(n = 248,777)
N (%)
920 (0.80)
5334 (4.61)
34519 (29.83)
63769 (55.11)
11155 (9.64)
487775 (96.1)
11928 (2.4)
5038 (1.0)
2544 (0.5)
134.0 ± 26.6
79.8 ± 19.3
88.8 ± 40.4
223 (0.67)
1195 (3.59)
12620 (37.95)
15897(47.81)
3317(9.97)
137035 (97.0)
2358 (1.7)
1089 (0.8)
738 (0.5)
135.7 ± 27.1
80.7 ± 19.5
89.5 ± 19.5
V = 0.076
V = 0.022
p = 0.001
p <0.010
p <0.010
KTAS, Korean triage and acuity scale; SBP, systolic blood pressure; DBP, diastolic blood pressure; PR, pulse rate.
https://doi.org/10.1371/journal.pone.0261071.t001
severity of FI in the rural or metropolitan areas. There was no significant difference in mean
KTAS depending on the lunar phase in the metropolitan or rural areas (p = 0.394, p = 0.457,
respectively).
Discussion
During the study period of five years, we found that the prevalence and severity of FI were
associated with multiple weather factors such as daily precipitation, minimum temperature,
Table 2. Multivariate regression analysis of relationships between weather factors and moon phase with fall injuries in metropolitan areas.
Univariate analysis
Multivariate analysis
IRR
0.99
0.98
0.78
1.07
1.03
1.00
1.10
1.12
1.25
p value
0.043
<0.001
0.003
0.269
0.020
0.677
0.567
0.532
0.724
Precipitation
Minimum temperature
Wind speed
Cloud cover
Sunshine duration
Fog duration
Moon phase (versus full moon)
New moon
1st quarter
3rd quarter
Interaction effects
precipitation:minimum
precipitation:wind
precipitation:sunshine
minimum:wind
minimum:sunshine
wind:sunshine
IRR, incidence risk ratio; SE, standard error; CI, confidence interval.
https://doi.org/10.1371/journal.pone.0261071.t002
IRR
0.93
1.27
0.80
1.01
1.00
1.01
1.01
0.99
1.02
0.99
p value
0.045
0.005
<0.001
0.516
0.001
0.755
0.414
0.001
0.023
0.131
CI
0.93–0.97
0.97–0.98
0.95–1.01
1.01–1.02
1.00–1.01
1.01–1.01
1.01–1.01
0.99–1.00
1.01–1.03
0.99–0.99
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PLOS ONEEffects of weather and moon phases on EM use
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PLOS ONEFig 2. Scatter plots of the number of ED visits per million people after fall injuries versus weather components in metropolitan areas of Korea. A theoretical
Gaussian regression line estimated by nonlinear curve fitting with the Boltzmann sigmoidal function is shown in red.
https://doi.org/10.1371/journal.pone.0261071.g002
Effects of weather and moon phases on EM use
and wind speed in both metropolitan and rural areas. However, we found that the longer the
sunshine duration was linked with the higher FI in rural area. Moon phases were weakly asso-
ciated with FI, especially in rural areas. The FI severity was closely related to weather factors.
This study enrolled the largest dataset ever collected to determine the association between
weather factors and ED visits due to FI in all 11 provinces of Korea over a 5-year period. A pre-
vious study conducted in a small city of 23,000 people in northern Netherlands reported that
better weather conditions were associated with the incidence of all types of trauma [9]. The
study location was similar to rural South Korea, where weather components including maxi-
mum temperature, sunshine duration, humidity, and precipitation were associated with all
kinds of injury. The present study also found that precipitation, minimum temperature, and
wind speed were typically related to FI. Additionally, sunshine duration was a significant pre-
dictor of FI in rural areas with high agricultural activities. These findings suggest that it is
essential to consider a variety of factors such as geographic location, main industry in the
region, and weather changes during the investigation of injury prevalence.
Ramgopal et al. [8] investigated the association of weather factors with all EMS dispatches
using longitudinal data of ambulance transport in western Pennsylvania and reported
increased EMS responses with rising temperature, snowfall, and rain based on a stratified anal-
ysis of seasonal variables and a day-of-the-week effect week. We found that additional factors
such as wind speed, cloud cover, and sunshine duration were associated with emergency
Table 3. Multivariate regression analysis of relationships between weather factors and moon phase with fall injuries in rural areas.
Univariate analysis
Multivariate analysis
IRR
p value
IRR
p value
0.96
1.25
1.24
2.01
1.19
0.03
0.75
0.61
0.68
<0.001
<0.001
<0.001
0.383
<0.001
0.817
0.002
0.948
0.984
Precipitation
Minimum temperature
Wind speed
Cloud cover
Sunshine duration
Fog duration
Moon phase (versus full moon)
new moon
1st quarter
3rd quarter
Interaction effects
precipitation:wind
precipitation:minimum
precipitation:sunshine
minimum:wind
minimum:sunshine
wind:sunshine
new moon:precipitation
new moon:wind
new moon:sunshine
IRR, incidence risk ratio; SE, standard error; CI, confidence interval.
https://doi.org/10.1371/journal.pone.0261071.t003
0.98
1.20
1.18
1.20
0.78
0.60
0.68
1.01
1.00
0.98
1.01
1.00
1.08
1.01
1.02
0.99
<0.001
<0.001
<0.001
0.040
0.043
0.556
0.984
<0.001
<0.001
<0.001
<0.001
0.590
<0.001
0.027
0.028
0.055
CI
0.90–0.97
0.99–1.51
1.23–1.25
0.67–2.20
0.61–0.85
0.95–1.02
0.99–1.03
1.01–1.01
1.00–1.00
0.96–0.99
1.01–1.02
1.00–1.00
1.06–1.11
0.00–14.6
0.79–1.16
0.02–3.13
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PLOS ONEEffects of weather and moon phases on EM use
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10 / 14
PLOS ONEFig 3. Scatter plots of the number of ED visits per million people after fall injuries versus weather components in rural areas of Korea. A theoretical Gaussian
regression line estimated by nonlinear curve fitting with the Boltzmann sigmoidal function is shown in red.
https://doi.org/10.1371/journal.pone.0261071.g003
Effects of weather and moon phases on EM use
resource use after FI. However, seasonal changes were not included as independent variables
in this study because changes in minimum temperature and precipitation implicated seasonal
variations in weather. We also excluded FI on weekends and holidays because of increased
trauma due to enhanced outdoor leisure activity and distant travel on days that might act as a
confounding variable. We expected no major challenges in the analysis of FIs on weekdays
because of a sufficient number of cases using 5-year large-scale longitudinal data for at the
nationwide level.
Stomp et al. [9] reported that better weather conditions in rural areas were associated with
the incidence of all traumas. Our analysis also found that the frequency of FIs in rural areas
was increased under less precipitation, higher minimum temperature, and longer sunshine
duration such as busy farming seasons.
This is the first study to compare FI-related factors between developed metropolitan cities
and rural areas. During the course of our study, another research paper reported the correla-
tion between weather changes and FI in a small Russian city [4]. It was the only longitudinal
study for FIs like this study but was limited by geographic location of the study area or by
small number of subjects. The daily average of outdoor falls in the cold season was 20.2 per
100,000 people and the slippery surfaces covered with wet snow or ice and temperatures
between -7.0˚C and -0.7˚C were risk factors. As mentioned above, our study results showed a
distinct increase in FIs according to regional characteristics, with a lower temperature trigger-
ing falls on slippery surface in metropolitan areas, and a higher temperature during increased
agricultural activity in rural areas associated with increased FIs. They also reported that the FIs
were increased when the 12-hour precipitation was greater than 0.4 mm; however, the present
study showed that the FIs were increased under low precipitation. This difference is probably
explained by the falling of snow leading to slippery surfaces in Russia with a high altitude,
whereas in Korea located in mid-latitude weather, rain accompanied by summer storms with
strong winds reduced the frequency of outdoor activities. Northern Russia is located at the
highest latitude among countries in the world. As the highest temperature in summer was near
zero, the study failed to reflect changing weather patterns in mid-latitude areas with four clear
seasons.
Good weather conditions accompanied by active agricultural activities and increased night
visibility under moonlight on a full moon might be associated with FIs in rural areas. A moon
phase occurs every 29.53 days and 12.37 times in a year. The four principal moon phases
include: new moon, the 1st quarter, full moon, and the last quarter. Moon phases are known to
drive periodic changes in nighttime illumination, geomagnetic fields, gravitational pull, and
other factors associated with major meteorological and biological changes [15]. We found that
Table 4. Results of Pearson’s correlation analysis between injury severity (mean KTAS) with weather factors.
Precipitation
Minimum temperature
Mean wind speed
Cloud cover
Sunshine duration
Fog duration
Metro
CC
Rural
p value
CC
p value
0.006
0.701
-0.008
0.718
CC, correlation coefficient.
0.049
0.003
0.065
0.004
https://doi.org/10.1371/journal.pone.0261071.t004
0.157
<0.001
0.108
<0.001
-0.045
0.700
0.298
0.007
-0.012
0.957
0.005
0.809
<0.001
0.995
0.030
0.175
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PLOS ONEEffects of weather and moon phases on EM use
FI-related ED visits on full moon days were significantly increased than on new moon days
only in rural areas. Two of the four rural provinces in this study border the sea and another
province is an island with active fishing activities (S1 Fig). The full moon is a time of full tide
and active fishing activities due to vertical migration of fishes [16]. Therefore, active nighttime
activities and fishing activities might increase FIs in rural areas. However, FIs in metropolitan
areas were less affected by lunar phase due to good visibility under night light that offset the
effects of lunar phases.
A previous study from Japan revealed a significant increase in the risk of emergency trans-
port after traffic accidents on full moon days among those aged �40 years [11]. This finding is
consistent with the results of our study showing a significant increase in FIs during full moon
days especially in rural areas where the elderly individuals reside under weak artificial lighting
at night. A population-based double control study conducted in the United States reported
that deaths from motor traffic accidents are more frequent on full moon nights [12]. The
authors postulated that a full moon might be associated with speeding, long distances, and
unknown routes, resulting in more frequent deaths. In our study, FIs were increased on full
moon days only in rural areas with weak artificial lighting, suggesting that increased visibility
and outdoor activity under moonlight on full moon days are associated with increased FIs.
The analysis of interaction between lunar phases and weather factors showed that the new
moon phase interacted with precipitation, wind speed, and cloud cover, which is consistent
with the findings of a previous study showing an increased number of storms during new
moon phases [17]. The finding suggests that the decrease in FIs in rural areas during new
phases may be a result of weather changes. Thus, the effect of the lunar phase is complex with
increased near-field vision due to moonlight mainly in rural areas and secondary weather
changes associated with lunar phases.
We found that weather factors were correlated with FI severity measured by KTAS, a uni-
fied triage scoring system. KTAS is a five-level triage scale developed in Korea based on Cana-
dian Triage and Acuity Scale (CTAS) and the score is a strong predictor of severity of patients
with higher 30-day mortality [18].
The strength of the study is that it is a population-based analysis of longitudinal data involv-
ing FIs in a mid-latitude country with four clearly distinguished seasons. A few unknown envi-
ronmental factors may confound the study results. Future studies should use more complex
modeling methods and evaluate the effects of moon phases and weather changes. Patients sus-
taining FIs may visit the ED the next day or later instead of on the day of injuries. Morency
et al. [19] reported a significant increase in outdoor falls on days 1–3 after falling temperatures
or snowfall. Therefore, it might be a challenge to compare changes in weather phenomena and
patients visiting the hospital on the same day. We believed that the interval between the
weather change and FIs is not a hindrance because of the gradual changes in weather and FI
incidence over a period of several days. We enrolled subjects regardless of indoor or outdoor
injuries because exposure to slippery terrain under snow or rain can still trigger injuries
indoors. Additionally, snowy and rainy days lead to behavioral changes due to thick clothes
and protective gears. Our study was conducted using large-scale nationwide databases without
analyzing clinical data of patients with emotional stress, alcohol use, and violence. Further, the
effects of other natural events such as earthquakes leading to mass casualties were not
considered.
In summary, we found that the incidence of FI is related to weather factors. Emergency
medical personnel should understand that FIs occur frequently during days of low precipita-
tion, high temperature and low winds linked with active outdoor activity in metropolitan
areas. Additional weather factors have been shown to affect FI incidence in rural areas so that
increased FI rates were noticed on days of low precipitation, high temperature, low winds and
PLOS ONE | https://doi.org/10.1371/journal.pone.0261071 December 31, 2021
12 / 14
PLOS ONEEffects of weather and moon phases on EM use
longer sunshine duration in rural areas. Moon phases are weakly linked to FI incidence rates.
FIs increased only in rural areas during the full moon days compared with new moon days. FI
severity is also affected by weather factors. In both urban and rural areas, the severity of FI sig-
nificantly increased on cold and windy days.
Supporting information
S1 Fig. Areas to be studied were selected by dividing them into A) metropolitan areas (red
color) including seven metropolitan cities with a population exceeding one million and B)
rural areas (blue color) consisting of four provinces without containing metropolitan cities
within its perimeter.
(PDF)
S2 Fig. Distribution of daily fall injuries by weekday for metropolitan and rural areas.
(PDF)
Author Contributions
Conceptualization: Kisung Kim, Sungyoup Hong.
Data curation: Min Ah Yuh, Kisung Kim, Juseok Oh, Jinwoo Kim, Sungyoup Hong.
Formal analysis: Kisung Kim, Seon Hee Woo, Jinwoo Kim, Sungyoup Hong.
Funding acquisition: Juseok Oh, Sungyoup Hong.
Methodology: Min Ah Yuh.
Project administration: Seon Hee Woo.
Software: Kisung Kim.
Supervision: Sungyoup Hong.
Validation: Kisung Kim, Juseok Oh.
Visualization: Min Ah Yuh, Sungyoup Hong.
Writing – original draft: Sikyoung Jeong, Sungyoup Hong.
Writing – review & editing: Seon Hee Woo, Sikyoung Jeong.
References
1. Organization WH, Ageing WHO, Unit LC. WHO global report on falls prevention in older age: World
Health Organization; 2008.
2. Smulders E, Enkelaar L, Weerdesteyn V, Geurts A, van Schrojenstein Lantman-de Valk H. Falls in
older persons with intellectual disabilities: fall rate, circumstances and consequences. J Intellect Disabil
Res. 2013; 57(12):1173–82. https://doi.org/10.1111/j.1365-2788.2012.01643.x PMID: 23106830
3.
Lepy E, Rantala S, Huusko A, Nieminen P, Hippi M, Rautio A. Role of Winter Weather Conditions and
Slipperiness on Tourists’ Accidents in Finland. Int J Environ Res Public Health. 2016; 13(8):822. https://
doi.org/10.3390/ijerph13080822 PMID: 27537899
4. Unguryanu TN, Grjibovski AM, Trovik TA, Ytterstad B, Kudryavtsev AV. Weather conditions and out-
door fall injuries in Northwestern Russia. Int J Environ Res Public Health. 2020; 17(17):6096. https://doi.
org/10.3390/ijerph17176096 PMID: 32825697
5. Sundfør HB, Sagberg F, Høye AJAA, Prevention. Inattention and distraction in fatal road crashes–
Results from in-depth crash investigations in Norway. Accid Anal Prev. 2019; 125:152–7. https://doi.
org/10.1016/j.aap.2019.02.004 PMID: 30763812
6. Yeung P-Y, Chau P-H, Woo J, Yim VW-T, Rainer TH. Higher incidence of falls in winter among older
people in Hong Kong. J of Clin Gerontol Geriatr. 2011; 2(1):13–6.
PLOS ONE | https://doi.org/10.1371/journal.pone.0261071 December 31, 2021
13 / 14
PLOS ONEEffects of weather and moon phases on EM use
7.
Lin L-W, Lin H-Y, Hsu C-Y, Rau H-H, Chen P-L. Effect of weather and time on trauma events deter-
mined using emergency medical service registry data. Injury. 2015; 46(9):1814–20. https://doi.org/10.
1016/j.injury.2015.02.026 PMID: 25818056
8. Ramgopal S, Dunnick J, Owusu-Ansah S, Siripong N, Salcido DD, Martin-Gill C. Weather and temporal
factors associated with use of emergency medical services. Prehosp Emerg Care. 2019; 23(6):802–10.
https://doi.org/10.1080/10903127.2019.1593563 PMID: 30874455
9. Stomp W, Fidler V, ten Duis HJ, Nijsten MW. Relation of the weather and the lunar cycle with the inci-
dence of trauma in the Groningen region over a 36-year period. J Trauma. 2009; 67(5):1103–8. https://
doi.org/10.1097/TA.0b013e3181986941 PMID: 19901675
10. Gevitz K, Madera R, Newbern C, Lojo J, Johnson CC. Risk of fall-related injury due to adverse weather
events, Philadelphia, Pennsylvania, 2006–2011. Public Health Rep. 2017; 132(1_suppl):53S–8S.
https://doi.org/10.1177/0033354917706968 PMID: 28692393
11. Onozuka D, Nishimura K, Hagihara AJSotte. Full moon and traffic accident-related emergency ambu-
lance transport: A nationwide case-crossover study. Sci Total Environ. 2018; 644:801–5. https://doi.
org/10.1016/j.scitotenv.2018.07.053 PMID: 29990928
12. Redelmeier DA, Shafir E. The full moon and motorcycle related mortality: population based double con-
trol study. Br Med J. 2017; 359:j5367. https://doi.org/10.1136/bmj.j5367 PMID: 29229755
13. Park J, Lim T. Korean triage and acuity scale (KTAS). J Korean Soc Emerg Med. 2017; 28(6):547–51.
14. McHugh ML. The chi-square test of independence. Biochem Med. 2013; 23(2):143–9. https://doi.org/
10.11613/bm.2013.018 PMID: 23894860
15. Chakraborty U. Effects of different phases of the lunar month on living organisms. Biol Rhythm Res.
2020; 51(2):254–82.
16. Das D, Pal S, Bhaumik U, Paria T, Mazumdar D, Pal SJIJoF, et al. The optimum fishing day is based on
moon. Int J Fish Aquat Stud. 2015; 2(4):304–9.
17. Pickering WHJPA. Relation of the Moon to the Weather. Pop Astron. 1903; 11:327–8.
18.
Lim YD, Lee DH, Lee BK, Cho YS, Choi G. Validity of the Korean Triage and Acuity Scale for predicting
30-day mortality due to severe trauma: a retrospective single-center study. Eur J Trauma Emerg Surg.
2018; 46(4):1–7. https://doi.org/10.1007/s00068-018-1048-y PMID: 30456416
19. Morency P, Voyer C, Burrows S, Goudreau S. Outdoor falls in an urban context: winter weather impacts
and geographical variations. Can J Public Health. 2012; 103(3):218–22. https://doi.org/10.1007/
BF03403816 PMID: 22905642
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PLOS ONE
| null |
10.1186_s12866-023-02901-1.pdf
|
Data Availability
Raw sequences from this study are available and were deposited in the
European Nucleotide Archive (ENA) with bio project accession PRJEB56537
in the ENA bio project database: https://www.ebi.ac.uk/ena/browser/view/
PRJEB56537.
|
Data Availability Raw sequences from this study are available and were deposited in the European Nucleotide Archive (ENA) with bio project accession PRJEB56537 in the ENA bio project database: https://www.ebi.ac.uk/ena/browser/view/ PRJEB56537 .
|
Akinyemi et al. BMC Microbiology (2023) 23:164
https://doi.org/10.1186/s12866-023-02901-1
BMC Microbiology
Whole genome sequencing of Salmonella
enterica serovars isolated from humans,
animals, and the environment in Lagos,
Nigeria
Kabiru Olusegun Akinyemi1*, Christopher Oladimeji Fakorede1, Jörg Linde2, Ulrich Methner2, Gamal Wareth2,3,4,
Herbert Tomaso2 and Heinrich Neubauer2
Abstract
Background Salmonella infections remain an important public health issue worldwide. Some serovars of non-
typhoidal Salmonella (NTS) have been associated with bloodstream infections and gastroenteritis, especially in
children in Sub-Saharan Africa with circulating S. enterica serovars with drug resistance and virulence genes. This
study identified and verified the clonal relationship of Nigerian NTS strains isolated from humans, animals, and the
environment.
Methods In total, 2,522 samples were collected from patients, animals (cattle and poultry), and environmental
sources between December 2017 and May 2019. The samples were subjected to a standard microbiological
investigation. All the isolates were identified using Microbact 24E, and MALDI-TOF MS. The isolates were serotyped
using the Kauffmann-White scheme. Antibiotic susceptibility testing was conducted using the disc diffusion method
and the Vitek 2 compact system. Virulence and antimicrobial resistance genes, sequence type, and cluster analysis
were investigated using WGS data.
Results Forty-eight (48) NTS isolates (1.9%) were obtained. The prevalence of NTS from clinical sources was 0.9%,
while 4% was recorded for animal sources. The serovars identified were S. Cotham (n = 17), S. Give (n = 16), S. Mokola
(n = 6), S. Abony (n = 4), S. Typhimurium (n = 4), and S. Senftenberg (n = 1). All 48 Salmonella isolates carried intrinsic
and acquired resistant genes such as aac.6…Iaa, mdf(A), qnrB, qnrB19 genes and golT, golS, pcoA, and silP, mediated
by plasmid Col440I_1, incFIB.B and incFII. Between 100 and 118 virulence gene markers distributed across several
Salmonella pathogenicity islands (SPIs), clusters, prophages, and plasmid operons were found in each isolate. WGS
revealed that strains of each Salmonella serovar could be assigned to a single 7-gene MLST cluster, and strains within
the clusters were identical strains and closely related as defined by the 0 and 10 cgSNPs and likely shared a common
ancestor. The dominant sequence types were S. Give ST516 and S. Cotham ST617.
*Correspondence:
Kabiru Olusegun Akinyemi
kabiru.akinyemi@lasu.edu.ng
Full list of author information is available at the end of the article
© The Author(s) 2023. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use,
sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and
the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this
article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included
in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will
need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. The
Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available
in this article, unless otherwise stated in a credit line to the data.
RESEARCHOpen AccessPage 2 of 17
Conclusion We found identical Salmonella sequence types in human, animal, and environmental samples in the
same locality, which demonstrates the great potential of the applied tools to trace back outbreak strains. Strategies to
control and prevent the spread of NTS in the context of one’s health are essential to prevent possible outbreaks.
Keywords Salmonella, WGS, MLST, Virulence gene, Resistant gene, Serotyping, Nigeria
Background
Salmonellosis in humans is caused by Gram-negative
zoonotic bacteria of the species Salmonella enterica and
Salmonella bongori and remains an important public
health problem worldwide. Salmonellosis accounts for
93.8 million cases of gastroenteritis, with an estimated
155,000 deaths recorded globally every single year [1].
Most cases of salmonellosis are acquired from contami-
nated food such as dairy and poultry products [2]. Of
the more than 2,600 different serovars of S. enterica,
only a few non-typhoidal serovars (NTS) are respon-
sible for most human infections [2]. Salmonella Typhi
and S. Paratyphi, which are human-restricted, cause sys-
temic illness, i.e., typhoid or paratyphoid fever [3]. NTS
serovars are diverse in their host range and vary in their
pathogenicity [4]. For severe cases of salmonellosis like
sepsis or SIRS (Systemic Inflammatory Response Syn-
drome), antibiotic treatment is indicated. Unfortunately,
multidrug resistance (MDR) with resistance to ampicil-
lin, chloramphenicol, and trimethoprim-sulfamethox-
azole has become a growing concern in NTS and some
invasive non-typhoidal Salmonella (iNTS) infections
[5]. Fluoroquinolone resistance in isolates from African
countries has increased in recent decades, and resistance
to β-lactam antibiotics, particularly third- and fourth
generation cephalosporins, was found in Nigeria [6].
The development of NTS isolates resistant to extended
spectrum cephalosporins such as ceftriaxone represents
another substantial public health issue [7]. In Africa,
NTS strains appear to be different from those that cause
diarrheal disease in industrialized countries and cause
invasive disease with bacteraemia more often in children,
with 4100 deaths per year [8, 9]. The role of animal reser-
voirs and human-to-human transmission of iNTS strains
is unclear [10, 11]. The control of zoonotic diseases in
Nigeria is difficult due to the diversity of reservoirs and
lack of surveillance. Zoonotic pathogens can contami-
nate the environment, spill over into the food chain, and
appear at any time during processing and post-process-
ing procedures. 29% of the national burden of human dis-
ease has been linked to the environment in Nigeria, while
the remaining 71% has been traced to diarrheal diseases,
malaria, respiratory infections, etc. [11]. A high preva-
lence of Salmonella in commercial poultry farms (43.6%)
was reported [12]. Products from cattle and poultry have
been identified as major sources of human Salmonella
infections in Nigeria [13]. Furthermore, poultry and poul-
try products are the major sources of protein for humans.
The domestic industry (Poultry Industry) rose from an
estimated 350,000 metric tons (MT) of eggs and 200,000
MT of poultry meat produced in 2003 to an estimated
production of 650,000 MT of eggs and 290,000 MT of
poultry meat in 2013 [14, 15]. The industry is estimated
to be worth $600 million, i.e., approximately 165 million
birds in 2013. By 2015, these numbers had risen to about
180 million birds, with the bulk of the poultry production
coming from backyard poultry farming. This increase is
attributed to the ban on the import of chicken (excluding
day-old chicks) in 2003 [14, 15]. A recent survey (2008–
2015) on Salmonella bacteraemia in children in central
and northwest Nigeria revealed that 20.7–23.6% of the
Salmonella bacteraemia cases were due to non-typhoidal
Salmonella, with up to 45% and 39% of the isolates being
Salmonella Typhimurium and S. Enteritidis, respectively
[16]. Bacterial resistance to antibiotics can be attributed
to irrational use due to advertising strategies, application
without previous susceptibility testing, or consumption
of food produced from previously treated animals [17].
Antimicrobial resistance due to the acquisition of resis-
tance gene clusters either horizontally or vertically is on
the rise [18]. These gene clusters have been reported to
have an epidemiological link with community-associated
infections in many countries, including Nigeria [18–20].
The benefit of the recent explosion of genomic sequence
information for Salmonella to study drug resistance in
Salmonella serotypes cannot be overemphasized. In
outbreak
investigations and epidemiological surveil-
lance, many laboratories, including reference labora-
tories, have employed serotyping and phage typing for
decades [21]. But due to the polyphyletic nature of Sal-
monella serovars, evolutionary groupings may fail if phe-
notypic methods such as serotyping are used alone [21].
Thus, in the last two decades, pathogen characteriza-
tion has already shifted to genomic analysis techniques,
e.g., multi-locus sequence typing (MLST) and the vari-
able number of tandem repeats (VNTR) [22, 23]. Since
whole-genome sequencing (WGS) has become widely
available and affordable as a tool for genotyping bacteria,
it is replacing older genomic techniques [24]. The Salmo-
nella Typhi genome was first reported in 2001, and sev-
eral thousand Salmonella strains of various serovars have
been sequenced [7, 24]. The challenge of discriminating
highly related lineages of bacteria was resolved by analy-
sis of the genome sequence using WGS and bioinformat-
ics pipelines [24, 25]. In Nigeria, there are currently few
Akinyemi et al. BMC Microbiology (2023) 23:164 Page 3 of 17
studies on the molecular detection of virulence and anti-
microbial resistance genes [26, 27].
The aim of this study is to investigate virulence and
antimicrobial resistance genes among the Salmonella
enterica serovars and to identify potential clonal relation-
ships between strains from different sources using whole
genome sequencing.
Materials and methods
Ethical approvals
Ethical approval from the ethics committee of the follow-
ing institutions was obtained before patients’ enrolment:
The Human Research and Ethics Committee of the Lagos
State University Teaching Hospital with reference num-
ber LREC/06/10/1012 and the Lagos State Health Service
Commission with reference number LSHSC/2222/VOL.
VC/352.
Preliminary investigation
A total of 2,522 samples were collected between Decem-
ber 2017 and January 2019, comprising 2,002 human
samples (blood 1,042 and stool 960) from hospitalized
and outpatients with clinical diagnoses of febrile illness
and diarrheal disease, 150 samples of cattle dung (animal
from the point of slaughter) and 270 samples of poul-
try feces (birds ready for sale), and 100 hospital effluent
(wastewater) samples. Samples were screened for Sal-
monella growth using standard protocols [28, 29] at the
Department of Microbiology, Lagos State University,
Nigeria.
Bacteria identification
A total of 51 presumptive Salmonella isolates, compris-
ing 13 strains from in-patients of the general hospitals
(Alimosho General Hospital and Massy Street Children
Hospital), 9 strains from out-patients of the Lagos State
University Teaching Hospital, 11 and 6 strains from dung
and faecal samples of cattle and poultry respectively, and
12 strains from wastewater of Gbagada General Hospital,
were initially identified using a MICROBACT 24E iden-
tification system (Oxoid Ltd, Basingstoke, UK). The iso-
lates were stored in cryotubes with Nutrient-Agar (Oxoid
Ltd., Basingstoke, UK) at room temperature and sent to
the Institute of Bacterial Infections and Zoonoses (IBIZ)
of the Friedrich-Loeffler-Institut (FLI) in Jena, Germany.
These isolates were further analyzed following DIN EN
ISO 6579-1:2017-07. Briefly, they were re-suspended in
3 mL of buffered peptone water for 6–18 ± 2 h (Oxoid
Ltd., Basingstoke, UK) at 37 °C. Enrichment in a selective
liquid medium was done in Rappaport-Vassiliadis (RVS)
Soya Peptone Broth (RVS Broth) (OMNILAB-Laborzen-
trum GmbH, Bremen, Germany) for 24 ± 3 h at 41.5 °C.
For selective media cultivation, two methods according
to DIN EN ISO 6579-1:2017-07 were applied. Animal
isolates were cultured on Xylose-Lysin-Deoxycholate
Agar (XLD) (Oxoid Ltd., Basingstoke, UK) and Rambach
Agar (Merck KGaA, Darmstadt, Germany) at 37 °C for
24 ± 3 h. Human and sewage isolates were cultivated on
Rambach Agar and Bismuth Sulfite Agar (Becton Dick-
inson, Franklin Lakes, USA) at 37 °C for 24 ± 3 h for the
early screening and detection of typhoidal and paraty-
phoid Salmonella.
For species confirmation of the animal isolates, an
Ultraflex II MALDI-TOF MS instrument (Bruker Dal-
tonik GmbH, Bremen, Germany) was used as described
by [30]. After positive Salmonella confirmation, serologi-
cal testing was done according to ISO/TR 6579-3:2014
for serovar identification.
The early identification of typhoidal and paratyphoi-
dal Salmonella serovars for the human and sewage iso-
lates was done with serological tests according to ISO/
TR 6579-3:2014. The species confirmation for Salmonella
isolates was done with anti-Salmonella A-67 + Vi omni-
valent (Sifin Diagnostics GmbH, Berlin, Germany). Then,
the O groups for S. Typhi (O: 9), S. Paratyphi A (O: 2), S.
Paratyphi B (O: 4), and S. Paratyphi C (O: 7) were tested.
A BSL-3 laboratory was available to further characterize
isolates that would be found positive for anti-Salmonella
O: 9 (Sifin Diagnostics GmbH, Berlin, Germany) and
therefore suspicious to be S. Typhi. The non-suspicious
isolates were also identified using an Ultraflex II MALDI-
TOF MS instrument as Salmonella at the genus level
(Bruker Daltonik GmbH, Bremen, Germany). Analysis
was carried out with the Biotyper 3.1 software (Bruker
Daltonik GmbH).
MALDI-TOF MS
Isolates were identified using MALDI-TOF MS [30].
Briefly, bacteria from overnight cultures were suspended
in 300 µl of bi-distilled water and mixed with 900 µl of
96% ethanol (Carl Roth GmbH, Karlsruhe, Germany) for
precipitation. After centrifugation for 5 min at 10,000 x
g, the supernatant was removed, and the pellet was re-
suspended in 50 µl of 70% (vol/vol) formic acid (Sigma-
Aldrich Chemie GmbH, Steinheim, Germany). Fifty
microliters of acetonitrile (Carl Roth GmbH) were added,
mixed, and centrifuged for 5 min at 10,000 x g. One and
a half microliters of the supernatant were transferred
onto an MTP 384 Target Plate Polished Steel TF (Bruker
Daltonik GmbH, Bremen, Germany). After air-drying,
the material was overlaid with 2 µl of a saturated solu-
tion of -cyano-4-hydroxycinnamic acid (Sigma-Aldrich
Chemie GmbH) in a mix of 50% acetonitrile and 2.5%
trifluoroacetic acid (Sigma-Aldrich Chemie GmbH).
After air-drying, spectra were acquired with an Ultraflex
II instrument (Bruker Daltonik GmbH). The instrument
was calibrated using the IVD Bacterial Test Standard
(Bruker Daltonik GmbH). Analysis was carried out with
Akinyemi et al. BMC Microbiology (2023) 23:164 Page 4 of 17
the Biotyper 3.1 software (Bruker Daltonik GmbH). The
following interpretation of results was performed accord-
ing to the manufacturer’s recommendation: A score of
≥ 2.3 represented reliable species-level identification; a
score of 2.0–2.29 represented probable species level iden-
tification; a score of 1.7–1.9 represented probable genus-
level identification; and a score ≤ 1.7 was considered an
unreliable identification [31]. Pure cultures were stored
appropriately in cryo-tubes at -80 °C (Mast Diagnostica
GmbH, Reinfeld, Germany).
Serotyping using the traditional White-Kaufman Le-Minor
serotyping of 48Salmonellaisolates
All Salmonella strains were serotyped using poly- and
monovalent anti-O as well as anti-H sera (SIFIN, Ger-
many) according to the Kauffmann-White scheme [32].
Antibiotic resistance testing
The isolates were re-cultivated on Columbia agar plates
with 5% sheep blood for 24 h at 37 °C for antibiotic sus-
ceptibility testing with the Vitek 2 Compact system (Bio-
Mérieux, Marcy-etoile, France) according to EUCAST
guidelines [33] for 24 different antibiotics on two cards
(AST-N195 and AST-N248): ampicillin, amoxicillin + cla-
acid, piperacillin, piperacillin-tazobactam,
vulanic
cefalexin, cefuroxime, cefuroxime-acetyl, cefotaxime,
ceftazidime, cefepime, azithronam, ertapenem, imipe-
nem, meropenem, amikacin, gentamicin, Tobramycin,
ciprofloxacin, tigecycline, fosfomycin, nitrofurantoin,
colistin, trimethoprim, and trimethoprim-sulfamethox-
azole. Appropriate dilutions of the colonies were made
according to the manufacturer’s instructions for MIC
evaluation. The strains with Vitek Extended Spectrum
ß-Lactamase (ESBL) were further characterized phe-
notypically: ESBL (CTX-M like), AmpC (High-Level
Case (AmpC)), or/and carbapenemase (Carbapenemase
(+ Oder - ESBL) phenotype were confirmed using a
combination disk test (CDT) according to the manufac-
turer’s instructions and EUCAST guidelines. For ESBL
resistance testing, MASTDISCS® Combi Extended Spec-
trum ß lactamase (ESBL) Set (CPD10) (Mast Diagnostica
GmbH, Reinfeld, Germany) with Ceftazidime 30 µg and
Ceftazidime 30 µg + Clavulanic Acid 10 µg, Cefotaxime
30 µg, and Cefotaxime 10 µg + Clavulanic Acid 10 and
cefpodoxime 30 µg and Cefpodoxime 10 µg + Clavulanic
Acid 1 µg were used. For the detection of carbapen-
emases, KPC, MBL, and OXA-48 MASTDISCS® were
used: carbapenemases (Rosco, Taastrup, Denmark) with
Meropenem 10 µg, Meropenem 10 µg + Phenylboronic
acid, Meropenem 10 µg + Dipicolinic acid, Merope-
nem 10 µg + Cloxacillin, and Temocillin. For the AmpC
detection, the 69 C AmpC Detection Disc Set (Mast
Diagnostica GmbH, Reinfeld, Germany) was used with
cefpodooxime 10 µg, AmpC stimulator, an ESBL inhibi-
tor, and an AmpC inhibitor.
Whole genomic sequence and bioinformatics analysis
Next-generation-sequencing (NGS)
The QIAGEN® Genomic-tip 20/G kit (QIAGEN, Ger-
many) was used to prepare genomic DNA. NGS librar-
ies were prepared using the NextEra XT DNA Library
Preparation Kit (Illumina Inc., USA). An Illumina MiSeq
instrument (Illumina Inc., USA) was used for paired-end
sequencing. Raw sequences from this study are available
and were deposited in the European Nucleotide Archive
(ENA) with bio project accession PRJEB56537 in the
ENA bio project database: https://www.ebi.ac.uk/ena/
browser/view/PRJEB56537.
Bioinformatics analysis: data analysis
2.2.0
The Linux-based bioinformatics pipeline WGSBAC
v.
(https://gitlab.com/FLI_Bioinfo/WGSBAC)
was used to analyze raw sequencing data as previously
described [34, 35]. For quality control, WGSBAC used
FastQC v. 0.11.7 [36] and calculated sequencing cover-
age. As a next step, the pipeline assembled sequencing
reads using Shovill v. 1.0.4 [37] and accessed assembly
quality using QUAST v. 5.0 [38]. To check for poten-
tial contamination, Kraken v2.1.1 [39] was used to clas-
sify the raw sequencing. To predict serovars based on
sequencing data, WGSBAC used SISTR v. 1.0.2 [40] and
SeqSero2 [41].
For the detection of genes and point mutations
potentially leading to antimicrobial resistance (AMR),
AMRFinderPlus (v. 3.6.10) [42] was used within WGS-
BAC. ABRicate (v. 0.8.10) [43] together with the data-
bases Virulence Factor Database (VFDB) [44] and
PlasmidFinder [45] were used to detect virulence fac-
tors and plasmids, respectively. For genotyping, WGS-
BAC first performed 7-gene multi-locus sequence typing
(MLST) on assembled genomes using the software mlst
v. 2.16.1 [46]. High-resolution genotyping was performed
using both an SNP-based approach and an allele-based
approach. Snippy v. 4.3.6 to identify core-genome single
nucleotide polymorphisms (cgSNPs) was utilized within
WGSBAC in standard settings [47]. As a reference
genome, the complete genome sequence of Salmonella
enterica subsp. enterica serovar Typhimurium strain LT2
(GenBank accession GCA_000006945.2) was used. To cal-
culate pairwise SNP distances, SNPs-dists (v 0.63) were
applied. Hierarchical clustering was performed using the
hierClust function v.5.1 of the statistical language R. A
cut-off of 10 cgSNPs was used to define closely related
strains and 0 cgSNPs to define identical strains.
For the allele-based approach, core-genome multi-
locus sequence typing (cgMLST) was performed by
applying Ridom Seqsphere + v. 5.1.0 [48] with default
Akinyemi et al. BMC Microbiology (2023) 23:164 Page 5 of 17
Table 1 Sample summary and Salmonella enterica positive isolates distributed across human, animal and environmental sources
Human samples
Blood
1042
163
10
153
Stool
960
308
9
299
Animal samples
Cattle Poultry
Dung
150
54
11
43
Feaces
270
72
6
66
Environmental
samples
Effluent
100
70
12
58
Total
2,522
667
48
619
Number of samples
Number of + ve cultures
Salmonellaisolates (n)
Other isolates
*+ve: positive bacterial culture
Fig. 1 Distribution of Salmonella enterica serovars according to sample source from Lagos, Nigeria
settings together with the specific core-genome scheme
(cgMLST v2) for Salmonella enterica developed by
EnteroBase [49]. Again, a cut-off of 10 alleles was used to
define clusters.
Results
Identification, distribution, and serotyping of
NigerianSalmonella enterica isolates
Out of 2,522 samples analyzed in this study, 667 sam-
ples showed bacterial growth on selective media. From
these positive bacterial culture samples, 51 presumptive
Salmonella isolates were identified by Microbact 24E
(Oxoid, England). Of the 51 presumptive Salmonella iso-
lates, 48 isolates were identified as Salmonella enterica
using MALDI-TOF MS (Table 1), and the remain-
ing three isolates were Citrobacter spp. The serotyping
results of the 48 Salmonella isolates revealed six different
serovars from human, animal, and environmental sources
(Fig. 1). The serovars with their predicted antigenic
profiles included S. Cotham (n = 17), S. Give (n = 16), S.
Mokola (n = 6), S. Abony (n = 4), S. Typhimurium (n = 4)
and S. Senftenberg (n = 1) and are presented in Table S1.
The distribution of the serovars is as follows: S. Cotham
(2 from human, 10 from animal, and 5 from sewage
Akinyemi et al. BMC Microbiology (2023) 23:164
samples), S. Give (12 from human, 2 from animal, and 2
from sewage samples), S. Mokola (5 from animal samples
and 1 from a sewage sample), S. Abony (1 from a clinical
sample and 3 from sewage samples), S. Typhimurium (3
from human samples and 1 from a sewage sample), and
S. Senftenberg ( 1 from a human sample), In this study,
seven strains of S. Give, one strain of S. Typhimurium,
and one strain of S. Senftenberg were iNTS.
Whole genome sequencing data
Genome sequencing of the 48 Salmonella enterica
isolates analyzed in this study yielded an average of
1,513,603 reads per isolate (range 465,448-3,046,296;
Table S1). The mean coverage of the 48 Salmonella iso-
lates was 52-fold (ranging from 23-fold to 148-fold in
Table S2). To check for putative contamination, the
software Kraken2 was used, which classified each read
(or contig). On the species level, the top hit for all 48
isolates was always “Salmonella”. On average, 96% of the
reads were classified as “Salmonella”. Table S3. The N50
of the 48 assembled genomes ranges from 153,458 bp to
708,946 bp. (Table S4)
Page 6 of 17
Resistance profiling and AMR genes in 48
Nigerian Salmonella enterica serovar isolates from different
sources
All forty-eight Salmonella enterica isolates were 100%
susceptible to ampicillin, piperacillin-tazobactam, cefo-
taxime, ceftazidime, cefepime, azithronam, ertapenem,
imipenem, meropenem, tigecycline, fosfomycin, colis-
tin, trimethoprim, and trimethoprim-sulfamethoxazole.
Meanwhile, 16 (33.33%) isolates were resistant to moxi-
floxacin and 14 (29.2%) isolates showed intermediate
resistance to Ciprofloxacin. There was no phenotypic
expression of extended-spectrum β-lactamase (ESβL),
inducible AmpC, Metallo- β-Lactamase, or blaOXA-48
among the isolates (Fig. 2).
All isolates contained intrinsic chromosomal encoded
aminoglycoside acetyltransferase aac(6)-Iaa resistance
genes as well as mdf(A) genes coding for a multidrug
efflux pump. Acquired quinolone resistance gene qnrB
was detected in four strains of Salmonella Give 8.3%
(4/48), while 12 strains of Salmonella Give harbored
qnrB19. All Salmonella serovars harbor efflux mecha-
nism genes sinH, mdsB, and mdsA and genes golT and
golS coding for resistance to copper/gold and gold,
respectively. However, genes pcoE, pcoS, pocR, pcoD,
pcoC, pcoB, pcoA, silP, silA, silB, silF, silC, silR, silS, and
silE coding for resistance to copper, silver, and copper/
silver were found in only one Salmonella Senftenberg
Fig. 2 Antibiogram of Salmonella enterica serovars isolated from different sources in Nigeria in accordance with EUCAST Expert Rules x 3.2
Akinyemi et al. BMC Microbiology (2023) 23:164
strain. Plasmid replicons were detected in 20 of the 48
isolates. All 16 Salmonella Give strains harbored plasmid
Col440I_1, while plasmid incFIB.B/incFII.S was detected
in four Salmonella Typhimurium strains (Table 2).
An average of 100 to 118 virulence gene markers dis-
tributed across several Salmonella pathogenicity islands
(SPIs), clusters, and plasmid operons were detected in
all 48 Salmonella isolates. A total of 95 virulence genes
were common to all Salmonella isolates. The virulence
genes ctdB, fae, faeD, and faeE were found only in Sal-
monella Give and S. Cotham strains. IpfA, IpfB, IpfC,
IpfD, IpfE, pipB2, and sopD2 genes were detected in Sal-
monella Senftenberg, S. Abony and S. Typhimurium.
The virulence genes spvB, spvC, spvR, ssel, srfH, sseK2,
and sspH2 were found only in S. Typhimurium strains,
while the entE gene was detected in only S. Mokola
strains (Table 3). The result of the raw sequence data for
the serovar prediction using SISTR and SeqSero indi-
cated a pass QC status for 42 isolates. Only six isolates
of serovar Mokola had a warning QC status (Table S1),
as only 186 cgMLST330 loci matched the number of
cgMLST330 loci found (n = 330). The reason for this
warning might be the relatively low number of publicly
available genome sequence of serovar Mokola which have
beend used for training these tools. In fact, Enterobase,
the largest collection of Salmonella genome sequences
with 403.715 strains (accessed May 2023), contained only
three Mokola strains. The multi-locus sequence typing
(cMLST), allelic profiles, and sequence types (ST) of 48
Salmonella enterica isolates were assigned by comparing
the sequences with those in the MLST profile database.
The 48 Salmonella isolates yielded six unique serovars,
and the 7-gene MLST identified one sequence type (ST)
for each serovar. Sequence type ST617 is shared by all 17
Salmonella Cotham strains while ST516 is shared by all
16 Salmonella Give strains. Similar findings were made
with the ST19 sequence type for the four Salmonella
Typhimurium strains and the ST1483 sequence type for
the four Salmonella Abony strains. The only strain of
Salmonella enterica subsp. enterica serovar Senftenberg
belongs to the ST14 sequence type. In the MLST profile
database, no sequence type for Salmonella Mokola was
found (Table S5).
The
sequence
core-genome multi-locus
typing
(cMLST)clustering of 48 Salmonella isolates based on the
source of the isolate, type of samples, and clinical diag-
nosis revealed five distinct clusters of 46 Salmonella iso-
lates. Two of the Salmonella isolates (S. Senftenberg and
one S. Typhimurium) were not assigned to any cluster.
Cluster 1 with ST617 consisted of 17 Salmonella strains
distributed among human isolates (2 strains), animal iso-
lates (7 strains from cattle and 3 strains from poultry),
and five environmental isolates. Cluster 2 with ST516
included 16 Salmonella strains, i.e., 12 human isolates, 2
Page 7 of 17
animal isolates (one cattle and one poultry), and 2 envi-
ronmental isolates. Cluster 3 with unknown ST consisted
of 6 strains, of which 5 strains were from animals (three
strains from poultry and two from cattle) and one strain
from an environmental source. Cluster 4 with ST1483
comprised 4 strains, of which 3 were from environmen-
tal samples and one was from a human patient. Cluster 5
with ST19 was made up of 3 strains, of which 2 were from
human patients and one from animal sources (Table S6
and Fig. 3. The distribution of the isolates within the local
government areas is shown in Fig. 4.
Discussion
The intensity with which non-typhoidal Salmonella
(NTS), responsible for foodborne diseases, acquires anti-
microbial resistance genes over the years is worrisome
and of public health concern [50]. Using WGS and bio-
informatics tools, this study examined clonal relation-
ships among NTS isolates from humans, animals, and the
environment, their virulence potential, and the presence
of antimicrobial resistance genes that may pose a pub-
lic health threat if spread to other bacterial agents. Two
thousand five hundred twenty-two samples yielded 48
different Salmonella. The infection was present in 0.9%
(19/2002) of human samples, 4% (17/420) of animal sam-
ples, and 12% (12/100) of environmental sample (sewage
and wastewater).
The 4% prevalence rate from animal sources (poultry:
7.3% (11/150) and cattle: 2.2% (6/270)) reported in this
study is lower than that reported by Jibril et al. [51] with
14.3% for animal faecal samples. A similar high preva-
lence was documented in other African countries, such
as Ethiopia with 14.9% [52] and Ghana with 44% [53].
This difference could be caused by sample size, as a much
lower number of samples was collected in this study. In
Denmark, an annual report on Salmonella enterica zoo-
nosis revealed a prevalence of 0–1.8% [54]. The low prev-
alence recorded in Denmark has been associated with
effective surveillance and control programs, a situation
that is not well-footed in Nigeria.
The dominant serotype in this study was S. Cotham
(35.4%), followed by S. Give (33.3%), S. Mokola (12.5%), S.
Typhimurium (8.3%), S. Abony (8.3%), and S. Senftenberg
(2.1%). Except for S. Typhimurium, the serovars found in
this study had not been characterized in Nigeria before,
either from animals (poultry and cattle), humans, or the
environment. Besides, little is known about their poten-
tial to cause human disease. Interestingly, serovars S. Give
and S. Cotham were cultured from patients, animals,
and wastewater from abattoirs and the hospital environ-
ment. Thus, both serovars (S. Give and S. Cotham) may
be emerging Salmonella serovars in Nigeria. Although
some of the serovars isolated in this study are not com-
monly associated with human salmonellosis, they may be
Akinyemi et al. BMC Microbiology (2023) 23:164 Table 2 Summary of the intrinsic and acquired resistance genes, transporter genes and plasmid replicons in 48 Salmonella enterica
strains from Nigeria
Strain ID
Acquired genes/Transporters
Intrinsic genes
Serotype
Source
19CS0255
Senftenberg
Animal (cattle)
aac.6…Iaa/mdf(A)
19CS0257
19CS0290
19CS0294
19CS0295
19CS0250
19CS0263
19CS0267
19CS0269
19CS0271
19CS0272
19CS0274
19CS0275
19CS0277
19CS0278
19CS0279
19CS0283
19CS0284
19CS0285
19CS0288
19CS0291
19CS0292
19CS0245
19CS0246
19CS0247
19CS0248
19CS0249
19CS0251
19CS0259
19CS0260
19CS0261
19CS0262
19CS0264
19CS0266
19CS0268
19CS0280
19CS0289
19CS0293
19CS0270
19CS0273
19CS0276
19CS0281
19CS0282
19CS0287
19CS0253
19CS0256
19CS0258
19CS0286
Abony
Abony
Abony
Abony
Cotham
Cotham
Cotham
Cotham
Cotham
Cotham
Cotham
Cotham
Cotham
Cotham
Cotham
Cotham
Cotham
Cotham
Cotham
Cotham
Cotham
Give
Give
Give
Give
Give
Give
Give
Give
Give
Give
Give
Give
Give
Give
Give
Give
Mokola
Mokola
Mokola
Mokola
Mokola
Mokola
Typhimurium
Typhimurium
Typhimurium
Typhimurium
aac.6…Iaa/mdf(A)
Sewage/wastewater
aac.6…Iaa/mdf(A)
Sewage/wastewater
aac.6…Iaa/mdf(A)
Human
aac.6…Iaa/mdf(A)
Human
aac.6…Iaa/mdf(A)
Animal (poultry)
aac.6…Iaa/mdf(A)
Sewage/wastewater
aac.6…Iaa/mdf(A)
Human
aac.6…Iaa/mdf(A)
Human
aac.6…Iaa/mdf(A)
Human
aac.6…Iaa/mdf(A)
Animal (cattle)
aac.6…Iaa/mdf(A)
Sewage/wastewater
aac.6…Iaa/mdf(A)
Human
aac.6…Iaa/mdf(A)
Sewage/wastewater
aac.6…Iaa/mdf(A)
Human
aac.6…Iaa/mdf(A)
Human
aac.6…Iaa/mdf(A)
Animal (poultry)
aac.6…Iaa/mdf(A)
Sewage/wastewater
aac.6…Iaa/mdf(A)
Animal (poultry)
aac.6…Iaa/mdf(A)
Sewage/wastewater
aac.6…Iaa/mdf(A)
Human
Sewage/wastewater
aac.6…Iaa/mdf(A)
anderes Resistogramm aac.6…Iaa/mdf(A)
aac.6…Iaa/mdf(A)
Animal (cattle)
aac.6…Iaa/mdf(A)
Animal (poultry)
aac.6…Iaa/mdf(A)
Sewage/wastewater
aac.6…Iaa/mdf(A)
Sewage/wastewater
aac.6…Iaa/mdf(A)
Animal (poultry)
aac.6…Iaa/mdf(A)
Animal (cattle)
aac.6…Iaa/mdf(A)
Animal (cattle)
aac.6…Iaa/mdf(A)
Animal (cattle)
aac.6…Iaa/mdf(A)
Animal (cattle)
aac.6…Iaa/mdf(A)
Human
aac.6…Iaa/mdf(A)
Human
aac.6…Iaa/mdf(A)
Human
aac.6…Iaa/mdf(A)
Human
aac.6…Iaa/mdf(A)
Human
aac.6…Iaa/mdf(A)
Human
aac.6…Iaa/mdf(A)
Human
aac.6…Iaa/mdf(A)
Animal (poultry)
aac.6…Iaa/mdf(A)
Human
aac.6…Iaa/mdf(A)
Animal (cattle)
aac.6…Iaa/mdf(A)
Animal (cattle)
aac.6…Iaa/mdf(A)
Sewage/wastewater
aac.6…Iaa/mdf(A)
Sewage/wastewater
aac.6…Iaa/mdf(A)
Animal (cattle)
aac.6…Iaa/mdf(A)
Human
aac.6…Iaa/mdf(A)
Animal (poultry)
sinH, mdsB. mdsA, golT, golS, pcoE,pcoS,
pocR, pcoD, pcoC, pcoB, pcoA,silP,silA,silB,
silF,silC,silR,silS,silE
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
qnrB, sinH, mdsB, mdsA, golT, golS
qnrB19, sinH, mdsB, mdsA, golT, golS
qnrB19, sinH, mdsB, mdsA, golT, golS
qnrB19, sinH, mdsB, mdsA, golT, golS
qnrB19, sinH, mdsB, mdsA, golT, golS
qnrB, sinH, mdsB, mdsA, golT, golS
qnrB19, sinH, mdsB, mdsA, golT, golS
qnrB19, sinH, mdsB, mdsA, golT, golS
qnrB, sinH, mdsB, mdsA, golT, golS
qnrB19, sinH, mdsB, mdsA, golT, golS
qnrB19, sinH, mdsB, mdsA, golT, golS
qnrB19, sinH, mdsB, mdsA, golT, golS
qnrB19, sinH, mdsB, mdsA, golT, golS
qnrB, sinH, mdsB, mdsA, golT, golS
qnrB19, sinH, mdsB, mdsA, golT, golS
qnrB19, sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
sinH, mdsB, mdsA, golT, golS
Page 8 of 17
Plasmid
replicon
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
Col440I_1
Col440I_1
Col440I_1
Col440I_1
Col440I_1
Col440I_1
Col440I_1
Col440I_1
Col440I_1
Col440I_1
Col440I_1
Col440I_1
Col440I_1
Col440I_1
Col440I_1
Col440I_1
-
-
-
-
-
-
incFIB.B/incFII.S
incFIB.B/incFII.S
incFIB.B/incFII.S
incFIB.B/incFII.S
Akinyemi et al. BMC Microbiology (2023) 23:164 Table 3 Distribution of Salmonella virulence genes clustered within several Salmonella pathogenicity Islands (SPIs) and plasmid
operons from different source from Nigeria
Page 9 of 17
Virulence loci
Virulence genes
Strain ID
19CS0245
19CS0246
19CS0247
19CS0248
19CS0249
19CS0250
19CS0251
19CS0253
19CS0255
19CS0256
Serovar
Num of
virulence
gene
100
Give
100
Give
100
Give
100
Give
100
Give
100
Cotham
Give
100
Typhimurium 116
SPI-1 SPI-2, SPI-3 SPI-11SPI-5, SPI-24/CS54 fimbriae operon
SPI-1 SPI-11 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-11 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-11 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-11 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-11 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-11 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 Long polar fimbriae cluster, Plasmid encoded fim-
briae cluster, Plasmid virulence Operon SPI-2 SPI-3 SPI-5
SPI-12 SPI-24/CS54 fimbriae operon
Senftenberg
101
SPI-1 Long polar fimbriae cluster SPI-3 SPI-5
Typhimurium 116
SPI-1 SPI-2 SPI-3 Long polar fimbriae cluster, Plasmid
encoded fimbriae cluster, Plasmid virulence Operon SPI-5
SPI-12 SPI-24/CS54 fimbriae operon
19CS0257
Abony
106
SPI-1 SPI-2 SPI-3 Long polar fimbriae cluster SPI-5 SPI-12
SPI-24/CS54 fimbriae operon
19CS0258
Typhimurium 118
SPI-1 SPI-2 SPI-12 SPI-24/CS54 Long polar fimbriae cluster,
Plasmid encoded fimbriae SPI-5iae cluster, Plasmid viru-
lence Operon fimbriae operon
19CS0259
19CS0260
19CS0261
19CS0262
19CS0263
19CS0264
19CS0266
19CS0267
19CS0268
19CS0269
19CS0270
19CS0271
19CS0272
19CS0273
19CS0274
19CS0275
19CS0276
19CS0277
19CS0278
19CS0279
19CS0280
19CS0281
Give
Give
Give
Give
Cotham
Give
Give
Cotham
Give
Cotham
Mokola
Cotham
Cotham
Mokola
Cotham
Cotham
Mokola
Cotham
Cotham
Cotham
Give
Mokola
100
100
100
100
100
100
100
100
100
100
102
100
100
102
100
100
102
100
100
100
100
100
SPI-1 SPI-11 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-11 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-11 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-11 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-11 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-11 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-11 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-11 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-11 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-11 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-3 SPI-5 SPI-12 SPI-24/CS54 fimbiae operon
SPI-1 SPI-2 SPI-11 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-11 SPI-3 SP1-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-3 SPI-5 SPI-12 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2SPI-11 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2SPI-11 SPI-3 SPI-5 f SPI-24/CS54 imbriae operon
SPI-1 SPI-2 SPI-3 SPI-5 SPI-12 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2SPI-11 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-11 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-11 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2SPI-11 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
ctdB, fae. faeD faeE sspH1*
CtdB fae. faeD faeE sspH1*
CtdB fae. faeD faeE sspH1*
CtdB fae. faeD faeE sspH1*
CtdB fae. faeD faeE sspH1*
CtdB fae. faeD faeE pipB2*
ctdB fae. faeD faeE sspH1*
gogB grvA ipfA ipfB ipfC
ipfD ipfE pefA pefB pefC
pefD pipB2 rck sodC1
sopD2 spvB spvC spvR ssel.
srfH sseK2 sspH2*
ipfA ipfB ipfC ipfD ipfE
pipB2 sopD2*
gogB grvA ipfA ipfB ipfC
ipfD ipfE pefA pefB pefC
pefD pipB2 rck sodC1
sopD2 spvB spvC spvR ssel.
srfH sseK2 sspH2*
ipfA ipfB ipfC ipfD ipfE
pipB2 shdA sodC1 sopD2
sseK2 sspH2*
gogB grvA ipfA ipfB ipfC
ipfD ipfE pefA pefB pefC
pefD pipB2 rck shdA sodC1
sopD2 spvB spvC spvR ssel.
srfH sseK2 sspH2 sspH1*
ctdB fae. faeD faeE sspH1*
ctdB fae. faeD faeE sspH1*
ctdB fae. faeD faeE sspH1*
CtdB fae. faeD faeE sspH1*
ctdB fae. faeD faeE pipB2*
CtdB fae. faeD faeE sspH1*
ctdB fae. faeD faeE sspH1*
ctdB fae. faeD faeE pipB2*
ctdB fae. faeD faeE sspH1*
ctdB fae. faeD faeE pipB2*
entE pipB2 shdA sodC1
sopD2 sseK2 sspH2*
ctdB fae. faeD faeE pipB2*
ctdB fae. faeD faeE pipB2*
entE pipB2 shdA sodC1
sopD2 sseK2 sspH2*
ctdB fae. faeD faeE pipB2*
ctdB fae. faeD faeE pipB2*
entE pipB2 shdA sodC1
sopD2 sseK2 sspH2*
ctdB fae. faeD faeE pipB2*
ctdB fae. faeD faeE pipB2*
ctdB fae. faeD faeE pipB2*
ctdB fae. faeD faeE sspH1*
entE pipB2 shdA sodC1
sopD2*
Akinyemi et al. BMC Microbiology (2023) 23:164 entE pipB2 shdA sodC1
sopD2 sseK2 sspH2*
ctdB fae. faeD faeE pipB2*
ctdB fae. faeD faeE pipB2*
ctdB fae. faeD faeE pipB2*
gogB grvA ipfA ipfB ipfC
ipfD ipfE pefA pefB pefC
pefD pipB2 rck sodC1
sopD2 spvB spvC spvR ssel.
srfH sseK2 sspH2*
entE pipB2 shdA sodC1
sopD2 sspH2*
ctdB fae. faeD faeE pipB2*
ctdB fae. faeD faeE sodC1
sopD2 sspH1 sspH1*
ipfA ipfB ipfC ipfD ipfE
pipB2 shdA sseK2 sspH2*
ctdB fae. faeD faeE pipB2*
ctdB fae. faeD faeE pipB2*
ctdB fae. faeD faeE sspH1*
ipfA ipfB ipfC ipfD ipfE
pipB2 shdA sodC1 sopD2
sseK2 sspH2*
ipfA ipfB ipfC ipfD ipfE
pipB2 shdA sodC1 sopD2
sseK2 sspH2*
gogB grvA ipfA ipfB ipfC
ipfD ipfE pefA pefB pefC
pefD pipB2 rck sodC1
sopD2 SshdA spvB spvC
spvR ssel.srfH sseK2 sspH2*
Table 3 (continued)
Strain ID
Serovar
Page 10 of 17
Virulence loci
Virulence genes
19CS0282
19CS0283
19CS0284
19CS0285
19CS0286
19CS0287
19CS0288
19CS0289
19CS0290
19CS0291
19CS0292
19CS0293
19CS0294
Num of
virulence
gene
102
Mokola
100
Cotham
100
Cotham
Cotham
100
Typhimurium 116
Mokola
Cotham
Give
Abony
Cotham
Cotham
Give
Abony
101
100
100
106
100
100
100
106
SPI-1 SPI-2 SPI-3 SPI-5 SPI-12 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI- SPI-3 2 Long polar fimbriae cluster, Plasmid
encoded fimbriae cluster, Plasmid virulence Operon SPI-5
SPI-12 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-3 SPI-5 SPI-12 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-3 SPI-24/CS54 Long polar fimbriae cluster
SPI-5 fimbriae operon
SPI-1 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-3 SPI-5 SPI-24/CS54 fimbriae operon
SPI-1 SPI-2 SPI-3 SPI-12 SPI-24/CS54 Long polar fimbriae
cluster SPI-5 fimbriae operon
19CS0295
Abony
106
SPI-1 SPI-2 SPI-3 SPI-12 SPI-24/CS54 Long polar fimbriae
cluster SPI-5 fimbriae operon
GCF0000069452ASM694v2
LT2
117
SPI-1 SPI-2 SPI-3 SPI-5 SPI-12 SPI-24/CS54 Long polar
fimbriae cluster, Plasmid encoded fimbriae cluster, Plasmid
virulence Operon fimbriae operon
*Represents the following 95 virulence genes: avrA csgA csgB csgC csgD csgE csgF csgG entA entB fepC fepG fimC fimD fimF fimH fimI invA invB invC invE invF invG
invH invI invJ mgtB mgtC mig.14 misL ompA orgA orgB orgC pipB prgH prgI prgJ prgK ratB sicA sicP sifA sifB sinH sipA.sspA sipB.sspB sipC.sspC sipD slrP sopA sopB.
sigD sopD sopE2 spaO spaP spaQ spaR spaS spiC.ssaB sptP ssaC ssaD ssaE ssaG ssaH ssaI ssaJ ssaK ssaL ssaM ssaN ssaO ssaP ssaQ ssaR ssaS ssaT ssaU ssaV sscA sscB
sseA sseB sseC sseD sseE sseF sseG sseJ sseK1 sseL steA steB steC
3° 24’ 23.2128’’ E. (Longitude)
of special importance in the Nigerian setting. S. Give, for
example, was reported in a multistate outbreak in Ger-
many in 2004 that resulted in severe gastroenteritis and
hospitalization of those infected [55].S. Give has become
widespread recently in poultry in Nigeria [51] and
Burkina Faso [56], and serovars S. Give and S. Cotham
were reported repeatedly from animal sources in Nigeria
in the past [11, 57]. This finding needs further research
for a reliable risk assessment. In sub-Saharan Africa, S.
Typhimurium and S. Enteritidis strains were the pre-
vailing iNTS serovars associated with invasive systemic
infections in children and adults [58, 59], with an esti-
mated mortality rate among in-patients ranging from 4.4
to 27% for children [60] and 22 to 47% for adults [61]. In
Burkina Faso, Salmonella Enteritidis-associated bactere-
mia was also documented [56]. In this study, seven strains
of S. Give, one each of S. Typhimurium, and S. Senften-
berg strain, were iNTS. Although a previous study in
Nigeria documented S. Typhimurium and S. Enteritidis-
associated bacteremia [62], these are the first reported
iNTS Give and Senftenberg-associated bacteremia cases
in Nigeria. The emerging iNTS S. Typhimurium and S
Enteritidis seem to be already prominent in Nigeria, and
their potential to cause human disease and spread to
other neighboring countries is not in doubt.
All forty-eight Salmonella enterica isolates were 100%
susceptible
to piperacillin-tazobactam, cefotaxime,
ceftazidime, cefepime, azithronam, ertapenem, imipe-
nem, meropenem, tigecycline, fosfomycin, colistin, trim-
ethoprim, and trimethoprim-sulfamethoxazole.
The results also revealed that none of the Salmonella
isolates produced extended-spectrum β-lactamases
Akinyemi et al. BMC Microbiology (2023) 23:164
Page 11 of 17
Fig. 3 The minimum spanning tree (MST) of Salmonella strains (nodes) was used in this study. The node colour corresponds to the source of the strains
(see legend). The allelic distances from cgMLST analysis are denoted at branches. Clusters of genetically similar strains were defined using a cut-off of 10
alleles and are visualized in grey
gentamicin, which are known to bind the bacterial 50 S
subunit of the ribosome and prevent protein synthesis.
The presence of this gene has made the use of amino-
glycoside ineffective in vivo especially for the treatment
of invasive Salmonellosis and as such EUCAST expert
rule 3.2 of 2019 reported all aminoglycoside should be
reported as resistant irrespective of the result of the sus-
ceptibility results.
Acquired quinolone resistance genes were detected in
all 16 (100%) strains of S. Give. Plasmid-mediated qui-
nolone resistance (PMQR) qnrB gene was detected in 4,
while the qnrB19 gene was found in 12 S. Give strains.
All S. Give strains harbored plasmid Col440I. Fifteen S.
Give strains (93.75%) were resistant to ciprofloxacin and
16 (100%) to moxifloxacin. These strains were also phe-
notypically resistant to this antibiotic family but suscep-
tible to all other tested antibiotics. This result agrees with
the results of a recent report on phenotypic and geno-
typic antimicrobial resistance and the presence of resis-
tance genes in Salmonella isolates from poultry, where
neither phenotypic expression of ESBL nor ESBL genes
were present in the Salmonella strains studied [51]. This
observation corresponds well with the fact that β-lactams
are reported to be used rarely or not often in poultry
production in Nigeria [63, 64], possibly due to their high
price. However, fluoroquinolones have been reported to
be used as a growth promoter and possibly contributed to
the emergence of Salmonella and other bacteria resistant
to ofloxacin and ciprofloxacin. Predictions by ResFinder
indicated that these S. Give strains carried either qnrB19
or qnrB genes with or without the presence of point
Fig. 4 Map of Nigeria showing the location of Lagos State and the distri-
bution of Salmonella enterica serovars across different local government
areas of Lagos State
(ESβL), Metallo-β-lactamases, AmpC, or OXA-48
phenotypically.
Chromosomally encoded aminoglycoside acetyltrans-
ferase aac.(6)-Iaa resistance genes were present in all
48 Salmonella isolates (100%) and conferred resistance
like tobramycin, amikacin, and
to aminoglycosides
Akinyemi et al. BMC Microbiology (2023) 23:164
Page 12 of 17
mutations in DNA gyrase and topoisomerase. It has been
documented that the qnrB19 and qnrB genes encode
transferable fluoroquinolone resistance mechanisms that
are responsible for reduced susceptibility to quinolones
[65]. Also, a point mutation in the quinolone resistance-
determining region (QRDR) of the DNA gyrase-A (gyrA)
and topoisomerase C (parC) genes is known to cause
clinical resistance in members of Enterobacteriaceae [65].
Similar reports have been documented in Salmonella
isolates from Nigeria [57, 66, 67]. The high-level detec-
tion of qnr genes in S. Give may contribute not only to
the stepwise development of high-level fluoroquinolone
resistance but also to its spread between bacteria species
[68]. The first report of a plasmid-mediated quinolone
resistance (PMQR) mechanism, qnrA, was described in
the late 1990s, and since then, several variants of the qnr
gene have been discovered [5].
Among the 48 Salmonella isolates in this study, 20
isolates belonging to two serovars contained plasmid
replicons. In total, three different plasmid replicas were
detected, with Col440I being the most predominant rep-
licon found in the “16” “S”. Give was predicted to carry
qnrB, qnrB-19, sinH, mdsB, mdsA, golT, and golS, respec-
tively. The Col440II-like plasmid detected in S. Schwar-
zengrund isolates in Chile highlighted the fact that a
small pPAB19-4-like plasmid plays an important role in
the dissemination of qnrB19 [69]. Incompatible plasmids
incFIB.B and incFII.S were found in all four strains of S.
Typhimurium predicted to carry the sinH, mdsB, mdsA,
golT, and golS genes. The plasmids incFIB.B and incFII.S
from S. Typhimurium were aligned with the reference
sequence GCF0000069452ASM694v2 (LT2). There was
100% identity with 100.0% query cover between the
sequences in this study and the reference sequence.
In this study, acquired golT genes coding for resistance
to copper or gold and golS genes coding for resistance
to gold were detected in all 48 isolates, with a percent-
age of similarity ranging from 96.71 to 100% when com-
pared to the GCF0000069452ASM694v2 (LT2) reference
strain. Furthermore, the only iNTS S. Senftenberg strain
detected in this study harbored several genes that confer
resistance to heavy metals such as copper (pcoE, pcoS,
pocR, pcoD, pcoC, pcoB, and pcoA), copper/silver (silA,
silB, silF, silC, silR, and silS), and silver (silP and silE). The
presence of these heavy metal resistance genes in this
strain and its role as an invasive pathogen remain sub-
jects of concern.
Several virulence gene markers of Salmonella enterica
distributed across several Salmonella pathogenicity
islands (SPIs) have been found responsible for systemic
transmission leading to severe infections [70, 71]. Viru-
lence genes found in all 48 Salmonella isolates were pre-
dicted by all-vfbd.xls. 100 to 118 virulence gene markers
distributed across several Salmonella pathogenicity
islands (SPIs), clusters, prophages, and plasmid oper-
ons were found in each isolate. A total of 95 virulence
genes were predicted to be common to all six Salmo-
nella enterica serovars. The virulence genes ctdB, fae,
faeD, and faeE were common to Salmonella Give, and
S. Cotham. While ipfA, ipfB, ipfC, ipfD, ipfE, pipB2,
and sopD2 were detected in S. Senftenberg, S. Abony,
and S. Typhimurium. The virulence genes spvB, spvC,
spvR, ssel.srfH, sseK2, and sspH2 were found only in S.
Typhimurium, while the entE was unique to S. Mokola.
However, rck genes that confer resistance to or protect
against complement-mediated immune response were
detected in all S. Typhimurium strains with 100% homol-
ogy to the gene of strain GCF0000069452ASM694v2
(LT2).
In Salmonella pathogenicity, the type 3 secretion sys-
tem (T3SS), encoded by SPI-1 and SPI-2, contains major
virulence determinants. The presence of the major viru-
lence factors avrA, mgtC, sopB, ssaQ, and invA in all 48
isolates is an indication of their ability to colonize the
liver of the host [50] and therefore may cause serious
human disease. The ssp.H1 and steB genes coding for
effectors are found in all 16 (100%) S. Give strains and
one (25%) S. Typhimurium strain. These effector genes
are mediators of cell invasion and modifications, which
are major contributing factors to intracellular growth
[72]. The cytolethal distending toxin islet gene (cdtB) was
detected in all the S. Give and S. Cotham in this study.
This gene has been reported to play a vital role in disease
pathogenesis. This toxin islet has been known to cause
DNA damage and cell cycle arrest in impaired cells [73].
The islet gene (cdtB) was detected in Salmonella Telelke-
bir in a similar study conducted in Southwestern Nigeria
[27].
The sopA and sopE2 pseudogenes were detected in
all 48 isolates. SopD2 pseudogenes were found in all S.
Abony, S. Typhimurium, S. Senftenberg, and S. Mokola
isolates, while shdA pseudogenes were confined to S.
Abony and S. Mokola isolates. Langridge et al. [74]
defined a pseudogene as a “gene with a mutation” (i.e., a
premature stop codon, frameshift, truncation, or syntenic
deletion) compared to an intact version of that gene. It
is easier for Salmonella to enter epithelial cells when the
effector genes found in Salmonella pathogenicity island
1 (SPI-1) are pseudogenized. This enhances Salmonella
adaptability to systemic infection in humans [75, 76].
As part of the limitations of the study, it was not pos-
sible to determine if the number of pseudogenes pres-
ent in each of the 48 Salmonella enterica strains was due
to identical or non-identical mutations. The Salmonella
plasmid virulence (spv) locus harbors five genes desig-
nated spv RABCD. The Salmonella virulence plasmid
(spv)-RBC was found in the four S. Typhimurium strains.
The expression of the spv genes has been reported to
Akinyemi et al. BMC Microbiology (2023) 23:164 Page 13 of 17
play a role in the intracellular multiplication of Salmo-
nellae by distorting the cytoskeleton of the eukaryotic
cells using its spvB ADP-ribosylates actin [77, 78]. The
two operons of the chaperone–usher class pef and ipf
(plasmid-encoded fimbriae) known to mediate adhesion
of S. Typhimurium to the small intestine in mice were
detected and confined to four S. Typhimurium strains
(pefA, pefB, pefC, and pefD), while the long polar fimbriae
operons (ipfA, ipfB, ipfC, and ipfD) were detected in four
S. Abony and four S. Typhimurium. Other fimbriae oper-
ons of the chaperon class detected contain fimC, fimD,
fimF, fimH, fimI, steA, steB, and steC, which are well con-
served in all 48 Salmonella isolates. The four Salmonella
invasion proteins (SipsABCD), which have been shown
to play essential roles in the secretion and translocation
of SPI-1 effectors, are present in all isolates [79].
The in silico serotype prediction with Seqsero in com-
parison to the serotyping scheme passed the Fast-QC
threshold, with the QC status indicating “PASS” for 5
serotypes except for serotype S. Mokola (6 isolates) show-
ing “WARN QC” status for the quality of the sequences.
There was no ST number available for S. Mokola from
the MLST profile database. This is an indication that the
complete genomic sequence of serovar S. Mokola has
not been deposited in the global Salmonella database
yet. This result represents the first complete genomic
sequence of S. Mokola serovar from Nigeria.
Multilocus sequence typing (MLST), allelic profiles,
and sequence types (ST) of the 48 Salmonella enterica
isolates were assigned by comparing the sequences with
those in the MLST profile database. Only one sequence
type (ST) each was found for the 17 S. Cotham (ST617),
16 S. Give (ST516), 4 S. Typhimurium (ST19), and 4 S.
Abony (ST1483), while S. Senftenberg (ST14) is the only
ST generated from segments of seven housekeeping
genes (aroC, dnaN, hemD, hisD, purE, sucA, and thrA).
All seven MLST loci were successfully recovered for the
48 Salmonella enterica strains isolated from different
sources. The presence of such clones in the samples of
human, animal, and environmental origin indicates epi-
demiological links between STs and reservoir isolates. In
Sub-Saharan Africa, NTS and iNTS serovars have been
a challenge. The MLST of S. Typhimurium is known
to be prevalent in Burkina Faso in humans and poultry
[80]. Also, S. Typhimurium ST313 strain D23580 isolated
from a patient with an iNTS infection has been reported
from Malawi [81]. S. Typhimurium ST19 detected in this
study belongs to the globally circulating lineage [82].
It is the dominant ST of the MLST database, which,
however, consists of sequences of strains isolated from
Europe and Northern America. S. Typhimurium ST19
has already caused gastroenteritis in humans [83], which
is in accordance with this study as S. Typhimurium ST19
was detected in stool samples of patients with diarrheal
disease from two study centers 20 km apart. The isola-
tion of S. Typhimurium ST19 in hospital wastewater
in this study is an indication of its dissemination from
clinical sources into the environment. In a related study
of WGS analysis of Salmonella serovars from animals
in North-Central Nigeria, eight diverse sequence types
(STs) were detected and the most common STs were
ST-321 and ST-19 (n = 4) exhibited by S. Muenster and
S. Typhimurium, respectively [26]. The detection of inva-
sive S. Typhimurium ST19 clones in the blood of febrile
patients with systematic infection has also been reported
in Iran [84]. S. Typhimurium ST19 has been documented
to colonize the gut and cause inflammation by a Sal-
monella pathogenicity island (SPI)-1-mediated process
when ingested orally [83]. The MLST of the 48 Salmo-
nella isolates based on the source of isolates, type of sam-
ple, and clinical prognosis revealed five distinct clusters
in the 46 Salmonella isolates. Two of the Salmonella iso-
lates could not be assigned to any cluster. WGS revealed
that strains in each MLST Salmonella cluster from this
study were closely related and likely shared a common
ancestor. The distribution of these clusters within the
study areas showed that all MLST clusters, including S.
Senftenberg, that were not assigned to any cluster were
found in the Alimosho local government area (LGA). All
of the LGAs chosen for this investigation had isolates
in clusters 1 and 2. Blood from a feverish patient at the
Lagos State University teaching hospital and stool from
a 3-5-year-old with diarrhea at Messy Street Children
Hospital both contained invasive iNTS Cotham ST617 in
cluster 1. While a genetically identical strain was discov-
ered in wastewater taken from Gbagada general hospital,
a few kilometers from Badagry LGA and Alimosho LGA,
Salmonella Cotham ST617 from the same cluster was
also detected in stool samples from poultry birds in Bada-
gry and cattle dung along the Governor Road. Similar to
this, S. Give (ST516) strains in cluster 2 were found in the
Alimosho LGA from human, animal, and environmental
samples. A strain of this serovar was also identified from
cattle at Odo-eran abattoir in the same LGA, around
1.6 km distant from Alimosho general hospital. It was
noted that the Salmonella Give strains that were isolated
from wastewater and human samples (stool and blood)
were from Alimosho general hospital. Additionally, S.
Give (ST516) strains were found in the Lagos Island LGA
(Messy Street Children hospital), Badagry LGA (Oko-
Afor poultry facility), and Ikeja LGA (place of Lagos Uni-
versity teaching hospital). The discovery of this disease in
these three LGAs illustrates the spread and circulation of
ST516 within Lagos environments because they are geo-
graphically apart. In Nigeria, S. Give and S. Cotham sero-
types have recently been reported in water, fecal samples
feed, dust, and boot swabs from different poultry farms
within the same and different localities [85]. However,
Akinyemi et al. BMC Microbiology (2023) 23:164 Page 14 of 17
pathogens in food chains, proper disposal of refuse, treat-
ment of wastewater from hospitals and food production
industries, and control of dump sites near hospitals are
essential to preventing outbreaks.
Abbreviations
NTS
INTS
MLST
CgMLST
CgSNP
MDR
EsβL
KPC
MBL
ST
MT
NAFDAC
PMQR
SPI
LGA
RFLP
VNTR
MLVA
MALDI-TOF MS
Non-typhoidal Salmonella
Invasive non-typhoidal Salmonella
Multi-locus sequence typing
Core genome multi-locus sequence typing
Core genome single nucleotide polymorphism
Multiple-drug resistant
Extended spectrum beta-lactamases
Klebsiella pneumoniae producing carbapenemase
Metallo-beta-lactamase
sequence type
Metric tons
National Agency for Food and Drug Administration and
Control.
plasmid-mediated quinolone resistance
Salmonella Pathogenicity Island
Local Government Area
Restriction fragment length polymorphism
Variable number of tandem repeats
Multiple Locus Variable-Number Tandem Repeat Analysis
matrix-assisted laser desorption/ionization-time of flight
mass spectrometry
Supplementary Information
The online version contains supplementary material available at https://doi.
org/10.1186/s12866-023-02901-1.
Supplementary Material 1
Acknowledgements
We are grateful to the staff of the Department of Microbiology and the
management of Lagos State University (LASU). We are equally grateful to the
management and staff of the Ministry of Health and the staff of the various
hospitals, abattoirs, and animal farms for their contributions to this research.
We are grateful to the Alexander von Humboldt (AvH) Foundation, Germany,
for sponsoring and funding this research work. We are sincerely grateful to
the management of the Friedrich-Loeffler-Institute (FLI), Jena, Germany, for
financial and technical support.
Authors’ contributions
K.O.A conceived the study. C.O.F., K.O.A., J.L., and U.M. were responsible for
the methodology. C.O.F. J.L., and U.M, were responsible for the software, the
validation of the study was done by K.O.A., C.O.F., J.L., U.M., G.W., H.T., and H.N.
The formal analysis was done by K.O.A., C.O.F., J.L., and U.M., the investigation
was done by K.O.A., C.O.F., J.L., U.M., G.W., and H.T. writing—original draft
manuscript was done by C.O.F., critical review of original draft by K.O.A.,
review, and editing of the manuscript by K.O.A., J.L., G.W., H.T., and H.N., and
supervision was done by K.O.A. and H.N.
Funding
This study was funded by the Alexander von Humboldt (AvH) Foundation,
Germany, and the Friedrich-Loeffler Institute (FLI), Jena, Germany. AvH has no
role in the design of the study, the collection, analysis, and interpretation of
data, or in writing the manuscript.
Data Availability
Raw sequences from this study are available and were deposited in the
European Nucleotide Archive (ENA) with bio project accession PRJEB56537
in the ENA bio project database: https://www.ebi.ac.uk/ena/browser/view/
PRJEB56537.
local environmental conditions and a lack of biosecurity
measures may have been responsible for the dissemina-
tion of similar strains [85]. The presence of the two domi-
nant clones (S. Give ST516 and S. Cotham ST617) in
samples from human, animal, and environmental sources
demonstrated the need for further epidemiologic stud-
ies to identify the infection and to tailor countermea-
sures for the local setting. This study points to the fact
that transmission of S. Give ST516 and S. Cotham ST617
may occur not only from person to person but also from
animal to human. Controlling environmental contami-
nation and potential control methods that could serve
as a guide for appropriate waste management require
special consideration. Near Alimosho General Hospital
are two large, overburdened garbage dump sites, one of
which is only 300 m away and the other is 1.3 km distant.
The area is occupied by low-income, lower, and upper-
middle-class residents, but no functional waste disposal
treatment unit is available. These dump sites have grossly
polluted the environment, including the groundwater
[86]. This may have contributed to the high prevalence
of Salmonella infection within that area and continuous
spread to other areas of the state.
Conclusion
The characterization of Salmonella isolates from hos-
pital, environmental, and animal production sources
using different molecular tools was conducted. The study
revealed six serotypes, with S. Give and S. Cotham as
the most predominant ones. Closely related Salmonella
clones were detected in these samples, pointing to an
epidemiological link between serotypes and sequence
types. The study also showed that the isolates were resis-
tant to multiple antibiotics, as reflected by the presence
of intrinsic and acquired genes conferring resistance to
antibiotics and heavy metals. A wide range of virulence
genes that help the organism become pathogenic in the
host were detected from the whole genomic sequences. It
becomes obvious that it is time to act and develop a strat-
egy for Nigeria against the spread of some emerging NTS
Salmonella serovars, such as S. Give and S. Cotham. This
strategy must take into consideration food-producing
animals, i.e., occupational animal contacts and food con-
tamination, spill-back risk of the already heavily polluted
environment, which arises from indiscriminate disposal
of refuse and untreated wastewater discharge (effluent)
from the hospital environment, and/or other sources,
and consumer behavior and food availability. For the One
Health context, these results are alarming, and the risk of
further spread of plasmid replicon Col440I_1 and viru-
lence genes is imminent if no immediate action is taken.
The first step must be the control and prevention of the
evolution of new and more virulent NTS in hospitals
and veterinary clinics. Prompt surveillance of emerging
Akinyemi et al. BMC Microbiology (2023) 23:164 Declarations
Ethics approval and consent to participate
Ethical approval from the ethics committee of the following institutions
was obtained before patients’ enrolment: The Human Research and Ethics
Committee of the Lagos State University Teaching Hospital with reference
number LREC/06/10/1012 and the Lagos State Health Service Commission
with reference number LSHSC/2222/VOL.VC/352. All methods were carried
out in accordance with relevant guidelines and regulations, and informed
consent was obtained from all subjects and/or their legal guardian(s).
Consent for publication
Not applicable.
Competing interests
The authors declare no competing interests.
Author details
1Department of Microbiology, Faculty of Science, Lagos State University,
Ojo, Lagos, Nigeria
2Institute of Bacterial Infections and Zoonoses, Friedrich-Loeffler-Institute,
Jena, Germany
3Department of Bacteriology, Immunology, and Mycology, Faculty of
Veterinary Medicine, Benha University, PO Box 13736, Toukh, Moshtohor,
Egypt
4Institute of Infectious Diseases and Infection Control, Jena University
Hospital, Am Klinikum 1, 07747 Jena, Germany
Received: 27 October 2022 / Accepted: 17 May 2023
References
1.
Crump JA, Luby SP, Mintz ED. The global burden of typhoid fever. Bull World
Health Organ. 2004;82(5):346–53.
Braden CR. Salmonella enterica serotype Enteritidis and eggs: a national
epidemic in the United States. Clin Infect Dis. 2006;43:512–7.
Rotimi V, Jamal W, Pal T, Sonnevend A, Dimitrov T, Albert MJ. Emergence of
multidrug-resistant Salmonella spp. and isolates with reduced susceptibility
to ciprofloxacin in Kuwait and the United Arab Emirates. Diagnostic microbi-
ology and infectious disease 2008, 60(1):71–7.
Razzaque M, Bedair M, Abbas S, Al-Mutawa T. Economic impact of calf mor-
tality on dairy farms in Kuwait. Pakistan Vet J. 2009;29(3):97–101.
Parry CM, Thomas S, Aspinall EJ, Cooke RP, Rogerson SJ, Harries AD, Beeching
NJ. A retrospective study of secondary bacteraemia in hospitalised adults
with community acquired non-typhoidal Salmonella gastroenteritis. BMC
Infect Dis. 2013;13(1):1–10.
Akinyemi K, Iwalokun BA, Oyefolu AOB, Fakorede C. Occurrence of extended-
spectrum and AmpC β-lactamases in multiple drug resistant Salmonella
isolates from clinical samples in Lagos, Nigeria. Infection and drug resistance
2017, 10:19.
Crump JA, Sjölund-Karlsson M, Gordon MA, Parry CM. Epidemiology, clinical
presentation, laboratory diagnosis, antimicrobial resistance, and antimi-
crobial management of invasive Salmonella infections. Clin Microbiol Rev.
2015;28:901–37.
Crump JA, Heyderman RS. A perspective on invasive Salmonella disease in
Africa. Clin Infect Dis. 2015;61(suppl4):235–S240.
2.
3.
4.
5.
6.
7.
8.
9. Majowicz SE, Musto J, Scallan E, Angulo FJ, Kirk M, O’Brien SJ, Jones TF, Fazil A,
Hoekstra RM. Studies ICoEDBoI: the global burden of nontyphoidal Salmo-
nella gastroenteritis. Clin Infect Dis. 2010;50(6):882–9.
10. Feasey N, Wansbrough-Jones M, Mabey DC, Solomon AW. Neglected tropical
diseases. Br Med Bull. 2010;93(1):179–200.
11. Organization WH. Country profiles of environmental burden of disease.
Geneva: WHO 2009:35.
12. Fagbamila IO, Barco L, Mancin M, Kwaga J, Ngulukun SS, Zavagnin P, Lettini
AA, Lorenzetto M, Abdu PA, Kabir J. Salmonella serovars and their distribution
in nigerian commercial chicken layer farms. PLoS ONE. 2017;12(3):e0173097.
Page 15 of 17
13. Omololu-Aso J, Oluwatoyin O, Omololu-Aso M, Atiene AA, Owolabi A, Shesha
A. Salmonellosis and shigellosis associated with cattle dung contaminant
from indigenous abattoirs, Osun State, Nigeria. Br J Res 2017, 4(1).
14. Sahel. An assessment of the nigerian poultry sector. In : www fafinnigeria-
com; 2015: 23.
15. Sati NM, Okolocha EC, Kazeem HM, Kabir J, Fagbamila IO, Muhammad M,
AA L. Seminar Presentation on the Sources of Salmonella infections in some
selected poultry farms in Jos, northern Nigeria.). Sources of Salmonella infec-
tions in some selected poultry farms in Jos, northern Nigeria.). Sources of
Salmonella infections in some selected poultry farms in Jos, northern Nigeria.
In. Jos Nigeria:. In.: National veterinary research institute, Jos Nigeria; 2015.
16. Obaro SK, Hassan-Hanga F, Olateju EK, Umoru D, Lawson L, Olanipekun
G, Ibrahim S, Munir H, Ihesiolor G, Maduekwe A. Salmonella bacteremia
among children in central and northwest Nigeria, 2008–2015. Clin Infect Dis.
2015;61(suppl4):325–S331.
17. Manyi-Loh C, Mamphweli S, Meyer E, Okoh A. Antibiotic use in agriculture
and its consequential resistance in environmental sources: potential public
health implications. Molecules 2018, 23(4):795.
18. Woerther P-L, Burdet C, Chachaty E, Andremont A. Trends in human fecal
carriage of extended-spectrum β-lactamases in the community: toward the
globalization of CTX-M. Clinical microbiology reviews 2013, 26(4):744–58.
19. Akinyemi KO, Iwalokun BA, Alafe OO, Mudashiru SA, Fakorede C. blaCTX-MI
20.
group extended spectrum beta lactamase-producing Salmonella typhi from
hospitalized patients in Lagos, Nigeria. Infection and drug resistance 2015,
8:99.
Iroha IR, Esimone CO, Neumann S, Marlinghaus L, Korte M, Szabados F,
Gatermann S, Kaase M. First description of Escherichia coli producing CTX-
M-15-extended spectrum beta lactamase (ESBL) in out-patients from south
eastern Nigeria. Ann Clin Microbiol Antimicrob. 2012;11(1):1–5.
21. Dangel A, Berger A, Messelhäußer U, Konrad R, Hörmansdorfer S, Ackermann
N, Sing A. Genetic diversity and delineation of Salmonella Agona outbreak
strains by next generation sequencing, Bavaria, Germany, 1993 to 2018.
Eurosurveillance. 2019;24(18):1800303.
22. Maiden MC, Van Rensburg MJJ, Bray JE, Earle SG, Ford SA, Jolley KA, McCarthy
ND. MLST revisited: the gene-by-gene approach to bacterial genomics. Nat
Rev Microbiol. 2013;11(10):728–36.
23. Ramisse V, Houssu P, Hernandez E, Denoeud F, Hilaire V, Lisanti O, Ramisse
F, Cavallo JD, Vergnaud G. Variable number of tandem repeats in Salmo-
nella enterica subsp. enterica for typing purposes. J Clin Microbiol. 2004
Dec;42(12):5722–30.
24. Parkhill J, Dougan G, James K, Thomson N, Pickard D, Wain J, Churcher
C, Mungall K, Bentley S, Holden M. Complete genome sequence of a
multiple drug resistant Salmonella enterica serovar Typhi CT18. Nature.
2001;413(6858):848–52.
25. Leopold SR, Goering RV, Witten A, Harmsen D, Mellmann A. Bacterial whole-
genome sequencing revisited: portable, scalable, and standardized analysis
for typing and detection of virulence and antibiotic resistance genes. J Clin
Microbiol. 2014;52(7):2365–70.
27.
26. Raufu IA, Ahmed OA, Aremu A, Ameh JA, Timme RE, Hendriksen RS, Ambali
AG. Occurrence, antimicrobial resistance and whole genome sequence
analysis of Salmonella serovars from pig farms in Ilorin, North-central Nigeria.
Int J Food Microbiol 2021 Jul 16;350:109245.
Ikhimiukor OO, Oaikhena AO, Afolayan AO, Fadeyi A, Kehinde A, Ogunleye
VO, Aboderin AO, Oduyebo OO, Elikwu CJ, Odih EE, Komolafe I, Argimón
S, Egwuenu A, Adebiyi I, Sadare OA, Okwor T, Kekre M, Underwood A,
Ihekweazu C, Aanensen DM, Okeke IN. Genomic characterization of invasive
typhoidal and non-typhoidal Salmonella in southwestern Nigeria. PLoS Negl
Trop Dis. 2022 Aug;26(8):e0010716.
28. England PH. Detection of Salmonella species National Infection Service ood
Water and Environmental Microbiology Standard Method. In., vol. 4. Waterloo
Road Wellington House London SE1 8UG; 2017.
29. Collee JG, Mackie TJ, McCartney JE. Mackie & McCartney practical medical
microbiology. Harcourt Health Sciences; 1996.
30. Bizzini A, Greub G. Matrix-assisted laser desorption ionization time-of-flight
mass spectrometry, a revolution in clinical microbial identification. Clin
Microbiol Infect. 2010;16(11):1614–9.
31. Lüthje P, Pranada AB, Carruthers-Lay D, Desjardins M, Gaillot O, Wareham D,
Ciesielczuk H, Özenci V. Identification of microorganisms grown on chromo-
genic media by MALDI-TOF MS. J Microbiol methods 2017, 136:17–20.
32. Grimont PA, Weill F-X. Antigenic formulae of the Salmonella serovars. WHO
collaborating centre for reference and research on Salmonella. 2007;9:1–166.
33. Clinical breakpoints and dosing of antibiotics.
Akinyemi et al. BMC Microbiology (2023) 23:164 Page 16 of 17
34. García-Soto S, Abdel-Glil MY, Tomaso H, Linde J, Methner U. Emergence of
multidrug-resistant Salmonella enterica subspecies enterica serovar infantis
of multilocus sequence type 2283 in german broiler farms. Front Microbiol.
2020;11:1741.
35. García-Soto S, Tomaso H, Linde J, Methner U. Epidemiological analysis of
Salmonella enterica subsp. enterica Serovar Dublin in german cattle herds
using whole-genome sequencing. Microbiol Spectr. 2021;9(2):e00332–00321.
36. Andrews S. FastQC: a quality control tool for high throughput sequence
data. In.: Babraham Bioinformatics, Babraham Institute, Cambridge, United
Kingdom; 2010.
37. Seemann T. Shovill—Assemble Bacterial Isolate Genomes from Illumina
Paired-End Reads. GitHub: San Francisco, CA, USA 2020.
38. Gurevich A, Saveliev V, Vyahhi N, Tesler G. QUAST: quality assessment tool for
genome assemblies. Bioinformatics. 2013;29(8):1072–5.
39. Wood DE, Lu J, Langmead B. Improved metagenomic analysis with Kraken 2.
Genome Biol. 2019;20(1):1–13.
40. Yoshida CE, Kruczkiewicz P, Laing CR, Lingohr EJ, Gannon VP, Nash JH,
Taboada EN. The Salmonella in silico typing resource (SISTR): an open web-
accessible tool for rapidly typing and subtyping draft Salmonella genome
assemblies. PLoS ONE. 2016;11(1):e0147101.
41. Zhang S, Yin Y, Jones MB, Zhang Z, Deatherage Kaiser BL, Dinsmore BA,
Fitzgerald C, Fields PI, Deng X. Salmonella serotype determination utiliz-
ing high-throughput genome sequencing data. J Clin Microbiol 2015,
53(5):1685–92.
42. Feldgarden M, Brover V, Haft DH, Prasad AB, Slotta DJ, Tolstoy I, Tyson GH,
Zhao S, Hsu C-H. McDermott PF: Using the NCBI AMRFinder tool to deter-
mine antimicrobial resistance genotype-phenotype correlations within a
collection of NARMS isolates. BioRxiv 2019:550707.
43. Abricate, Github.
44. Liu B, Zheng D, Zhou S, Chen L, Yang J. (2022) VFDB 2022: a general clas-
sification scheme for bacterial virulence factors. Nucleic Acids Res 50:
D912-D917.S.
45. Carattoli A, Zankari E, García-Fernández A, Voldby Larsen M, Lund O, Villa L,
Møller Aarestrup F, Hasman H. In silico detection and typing of plasmids
using PlasmidFinder and plasmid multilocus sequence typing. Antimicrob
Agents Chemother. 2014;58(7):3895–903.
46. mlst GitHub.
47. Snippy. GitHub.
48.
Jünemann S, Sedlazeck FJ, Prior K, Albersmeier A, John U, Kalinowski J,
Mellmann A, Goesmann A, Von Haeseler A, Stoye J. Updating benchtop
sequencing performance comparison. Nat Biotechnol. 2013;31(4):294–6.
49. Alikhan N-F, Zhou Z, Sergeant MJ, Achtman M. A genomic overview of the
population structure of Salmonella. PLoS Genet. 2018;14(4):e1007261.
50. Veeraraghavan B, Jacob JJ, Prakash JAJ, Pragasam AK, Neeravi A, Narasim-
man V, Anandan S. Extensive drug resistant Salmonella enterica serovar
senftenberg carrying bla NDM encoding plasmid p5558 (IncA/C) from India.
Pathogens and Global Health. 2019;113(1):20–6.
Jibril AH, Okeke IN, Dalsgaard A, Menéndez VG, Olsen JE. Genomic analysis of
antimicrobial resistance and resistance plasmids in Salmonella serovars from
poultry in Nigeria. Antibiotics. 2021;10(2):99.
51.
52. Eguale T. Non-typhoidal Salmonella serovars in poultry farms in central Ethio-
pia: prevalence and antimicrobial resistance. BMC Vet Res. 2018;14(1):1–8.
53. Andoh L, Dalsgaard A, Obiri-Danso K, Newman M, Barco L, Olsen J. Prevalence
and antimicrobial resistance of Salmonella serovars isolated from poultry in
Ghana. Epidemiol Infect. 2016;144(15):3288–99.
54. Helwigh B, Müller L. Annual Report on Zoonoses in Denmark 2017. Annual
55.
Report on Zoonoses in Denmark 2017 2018.
Jansen A, Frank C, Prager R, Oppermann H, Stark K. Nation-wide outbreak of
Salmonella give in Germany, 2004. Z Gastroenterol. 2005;43(8):707–13.
56. Post AS, Diallo SN, Guiraud I, Lompo P, Tahita MC, Maltha J, Van Puyvelde S,
Mattheus W, Ley B, Thriemer K. Supporting evidence for a human reservoir of
invasive non-typhoidal Salmonella from household samples in Burkina Faso.
PLoS Negl Trop Dis. 2019;13(10):e0007782.
57. Fashae K, Hendriksen RS. Diversity and antimicrobial susceptibility of
Salmonella enterica serovars isolated from pig farms in Ibadan, Nigeria. Folia
microbiologica 2014, 59(1):69–77.
58. Reddy EA, Shaw AV, Crump JA. Community-acquired bloodstream infec-
tions in Africa: a systematic review and meta-analysis. Lancet Infect Dis.
2010;10(6):417–32.
59. Sigaúque B, Roca A, Mandomando I, Morais L, Quintó L, Sacarlal J, Macete E,
Nhamposa T, Machevo S, Aide P. Community-acquired bacteremia among
children admitted to a rural hospital in Mozambique. Pediatr Infect Dis J.
2009;28(2):108–13.
60. Brent AJ, Oundo JO, Mwangi I, Ochola L, Lowe B, Berkley JA. Salmonella
bacteremia in kenyan children. Pediatr Infect Dis J. 2006;25(3):230–6.
61. Gordon MA, Graham SM, Walsh AL, Wilson L, Phiri A, Molyneux E, Zijlstra EE,
Heyderman RS, Hart CA, Molyneux ME. Epidemics of invasive Salmonella
enterica serovar enteritidis and S. enterica Serovar typhimurium infection
associated with multidrug resistance among adults and children in Malawi.
Clin Infect Dis. 2008;46(7):963–9.
62. Akinyemi KO, Bamiro BS, Coker AO. Salmonellosis in Lagos, Nigeria: incidence
of Plasmodium falciparum-associated co-infection, patterns of antimicrobial
resistance, and emergence of reduced susceptibility to fluoroquinolones. J
Health Popul Nutr. 2007;25(3):351.
63. Oluwasile B, Agbaje M, Ojo O, Dipeolu M. Antibiotic usage pattern in selected
poultry farms in Ogun state. Sokoto J Veterinary Sci. 2014;12(1):45–50.
64. Al-Mustapha AI, Adetunji VO, Heikinheimo A. Risk perceptions of antibiotic
usage and resistance: a cross-sectional survey of poultry farmers in Kwara
State, Nigeria. Antibiotics. 2020;9(7):378.
65. Veldman K, Cavaco LM, Mevius D, Battisti A, Franco A, Botteldoorn N, Bruneau
M, Perrin-Guyomard A, Cerny T, De Frutos Escobar C. International collabora-
tive study on the occurrence of plasmid-mediated quinolone resistance in
Salmonella enterica and Escherichia coli isolated from animals, humans, food
and the environment in 13 european countries. J Antimicrob Chemother.
2011;66(6):1278–86.
66. Fashae K, Folasade O, Frank M, Rene S. Antimicrobial susceptibility and
serovars of Salmonella from chickens and humans in Ibadan, Nigeria. J Infect
Dev Ctries. 2010;4(8):484–94.
67. Fortini D, Fashae K, García-Fernández A, Villa L, Carattoli A. Plasmid-mediated
quinolone resistance and β-lactamases in Escherichia coli from healthy
animals from Nigeria. J Antimicrob Chemother 2011, 66(6):1269–72.
68. Robicsek A, Sahm D, Strahilevitz J, Jacoby G, Hooper D. Broader distribution
of plasmid-mediated quinolone resistance in the United States. Antimicrob
Agents Chemother. 2005;49(7):3001–3.
69. Moreno-Switt AI, Pezoa D, Sepúlveda V, González I, Rivera D, Retamal P,
Navarrete P, Reyes-Jara A, Toro M. Transduction as a potential dissemination
mechanism of a clonal qnrB19-carrying plasmid isolated from Salmonella of
multiple serotypes and isolation sources. Front Microbiol. 2019;10:2503.
70. Kombade S, Kaur N. Pathogenicity Island in < em > Salmonella. In A. Lamas, P.
71.
Regal, & C. M. Franco, editors, Salmonella spp. - A Global Challenge. IntechO-
pen. 2021. https://doi.org/10.5772/intechopen.96443.
Jajere SM. A review of Salmonella enterica with particular focus on the patho-
genicity and virulence factors, host specificity and antimicrobial resistance
including multidrug resistance. Veterinary world. 2019;12(4):504.
72. Sabbagh SC, Forest CG, Lepage C, Leclerc J-M, Daigle F. So similar, yet so
different: uncovering distinctive features in the genomes of Salmonella
enterica serovars Typhimurium and Typhi. FEMS microbiology letters 2010,
305(1):1–13.
73. Chang SJ, Jin SC, Jiao X, Galan JE. Unique features in the intracellular trans-
port of typhoid toxin revealed by a genome-wide screen. PLOS Pathogens.
2019; 15(4):e1007704. https://doi.org/10.1371/journal.ppat.1007704 PMID:
30951565.
74. Langridge GC, Fookes M, Connor TR, Feltwell T, Feasey N, Parsons BN, Seth-
Smith HM, Barquist L, Stedman A, Humphrey T. Patterns of genome evolution
that have accompanied host adaptation in Salmonella. Proceedings of the
National Academy of Sciences 2015, 112(3):863–868.
75. Trombert AN, Berrocal L, Fuentes JA, Mora GC. Typhimurium sseJ gene
decreases the S. Typhi cytotoxicity toward cultured epithelial cells. BMC
Microbiol. 2010;10:1–10.
76. Valenzuela LM, Hidalgo AA, Rodríguez L, Urrutia IM, Ortega AP, Villagra NA,
Paredes-Sabja D, Calderón IL, Gil F, Saavedra CP, Mora GC. Pseudogenization
of sopA and sopE2 is functionally linked and contributes to virulence of
Salmonella enterica serovar Typhi. Infect Genet Evol. 2015;33:131–42.
77. Lesnick ML, Reiner NE, Fierer J, Guiney DG. The Salmonella spvB virulence
gene encodes an enzyme that ADP-ribosylates actin and destabilizes the
cytoskeleton of eukaryotic cells. Mol Microbiol. 2001;39(6):1464–70.
78. Matsui H, Bacot CM, Garlington WA, Doyle TJ, Roberts S, Gulig PA. Virulence
plasmid-borne spvB and spvC genes can replace the 90-kilobase plasmid in
conferring virulence to Salmonella enterica serovar Typhimurium in subcuta-
neously inoculated mice. J Bacteriol 2001, 183(15):4652–8.
79. Lou L, Zhang P, Piao R, Wang Y. Salmonella pathogenicity island 1 (SPI-1) and
its complex regulatory network. Front Cell Infect Microbiol 2019, 9:270.
Akinyemi et al. BMC Microbiology (2023) 23:164 Page 17 of 17
80. Kagambèga A, Lienemann T, Frye JG, Barro N, Haukka K. Whole genome
84. Ranjbar R, Elhaghi P, Shokoohizadeh L. Multilocus sequence typing of the
sequencing of multidrug-resistant Salmonella enterica serovar typhimurium
isolated from humans and poultry in Burkina Faso. Trop Med health.
2018;46(1):1–5.
81. Kingsley RA, Msefula CL, Thomson NR, Kariuki S, Holt KE, Gordon MA, Harris D,
Clarke L, Whitehead S, Sangal V. Epidemic multiple drug resistant Salmonella
Typhimurium causing invasive disease in sub-saharan Africa have a distinct
genotype. Genome Res. 2009;19(12):2279–87.
82. Canals R, Hammarlöf DL, Kröger C, Owen SV, Fong WY, Lacharme-Lora L,
Zhu X, Wenner N, Carden SE, Honeycutt J. Adding function to the genome
of african Salmonella Typhimurium ST313 strain D23580. PLoS Biol.
2019;17(1):e3000059.
83. Hughes L, Wigley P, Bennett M, Chantrey J, Williams N. Multi-locus sequence
typing of Salmonella enterica serovar Typhimurium isolates from wild birds
in northern England suggests host‐adapted strain. Lett Appl Microbiol.
2010;51(4):477–9.
clinical isolates of Salmonella enterica serovar Typhimurium in Tehran Hospi-
tals. Iran J Med Sci. 2017;42(5):443.
85. Fagbamila IO, Barco L, Mancin M, Kwaga J, Ngulukun SS, Zavagnin P, Lettini
AA, Lorenzetto M, Abdu PA, Kabir J, Umoh J. Salmonella serovars and their
distribution in Nigerian commercial chicken layer farms. PLoS One. 2017 Mar
9;12(3):e0173097.
86. Salami L, Susu AA. 2019. A comprehensive study of leachate characteristics
from three soluos dumpsites in Igando Area of Lagos State, Nigeria. Greener
Journal of Environmental Management and Public Safety, 8(1), pp.1–14.
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| null |
10.1371_journal.pone.0244053.pdf
|
Data Availability Statement: The data are
accessible via Dataverse (https://doi.org/10.7910/
DVN/8ZVOKW).
|
The data are accessible via Dataverse ( https://doi.org/10.7910/ DVN/8ZVOKW ).
|
RESEARCH ARTICLE
Gender specific differences in COVID-19
knowledge, behavior and health effects
among adolescents and young adults in Uttar
Pradesh and Bihar, India
Jessie PinchoffID
D. Ngo1
1*, KG Santhya2, Corinne White1, Shilpi Rampal2, Rajib Acharya2, Thoai
1 Population Council, One Dag Hammarskjold Plaza, New York, NY, United States of America, 2 Population
Council, India Habitat Centre, New Delhi, Delhi, India
* jpinchoff@popcouncil.org
Abstract
On March 24, 2020 India implemented a national lockdown to prevent spread of the novel
Coronavirus disease (COVID-19) among its 1.3 billion people. As the pandemic may dispro-
portionately impact women and girls, this study examines gender differences in knowledge
of COVID-19 symptoms and preventive behaviors, as well as the adverse effects of the lock-
down among adolescents and young adults. A mobile phone-based survey was imple-
mented from April 3–22, 2020 in Uttar Pradesh and Bihar among respondents randomly
selected from an existing cohort study. Respondents answered questions related to demo-
graphics, COVID-19 knowledge, attitudes, and preventive behaviors practiced, and impacts
on social, economic and health outcomes. Descriptive analyses and linear probability
regression models were performed for all participants and separately for men and women. A
total of 1,666 adolescents and young adults (18–24 years old) were surveyed; 70% were
women. While most participants had high awareness of disease symptoms and preventive
behaviors, there was variation by gender. Compared to men, women were seven percent-
age points (pp) less likely to know the main symptoms of COVID-19 (coeff = -0.071; 95%
confidence interval: -0.122 - -0.021). Among women, there was variation in knowledge by
education level, urban residence, and household wealth. Women were 22 pp less likely to
practice key preventive behaviors compared to men (coeff = -0.222; 95% CIL -0.263,
-0.181). Women were also more likely to report recent depressive symptoms than men
(coeff = 0.057; 95% CI: 0.004, 0.109). Our findings underscore that COVID-19 is already
disproportionately impacting adolescent girls and young women and that they may require
additional targeted, gender-sensitive messaging to foster behavior change. Gender-sensi-
tive information campaigns and provision of health services must be accessible and provide
women and girls with needed resources and support during the pandemic to ensure gains in
public health and gender equity are not lost.
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OPEN ACCESS
Citation: Pinchoff J, Santhya K, White C, Rampal S,
Acharya R, Ngo TD (2020) Gender specific
differences in COVID-19 knowledge, behavior and
health effects among adolescents and young adults
in Uttar Pradesh and Bihar, India. PLoS ONE
15(12): e0244053. https://doi.org/10.1371/journal.
pone.0244053
Editor: Kannan Navaneetham, University of
Botswana, BOTSWANA
Received: August 24, 2020
Accepted: November 25, 2020
Published: December 17, 2020
Peer Review History: PLOS recognizes the
benefits of transparency in the peer review
process; therefore, we enable the publication of
all of the content of peer review and author
responses alongside final, published articles. The
editorial history of this article is available here:
https://doi.org/10.1371/journal.pone.0244053
Copyright: © 2020 Pinchoff et al. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
Data Availability Statement: The data are
accessible via Dataverse (https://doi.org/10.7910/
DVN/8ZVOKW).
PLOS ONE | https://doi.org/10.1371/journal.pone.0244053 December 17, 2020
1 / 13
PLOS ONEFunding: The initial UDAYA cohort was funded by
the Bill and Melinda Gates Foundation and Packard
Foundation. No additional funds were received for
the COVID-19 survey.
Competing interests: The authors have declared
that no competing interests exist.
Gender specific variation in COVID-19 knowledge, behavior and health effects among young adults
Introduction
To control the spread of the novel Coronavirus disease (COVID-19), the Indian government
swiftly instituted a shutdown of international borders and a stay-at-home order on March 24,
2020 [1]. Such ‘lockdown’ policies to prevent the spread of COVID-19 originated in high-
income countries and China; little primary research has explored the potential unintended
consequences in countries including India characterized by densely populated urban slums, a
highly mobile population, high proportions of informal sector workers, and stark variation in
poverty levels [2]. Despite rising cases, the lockdown was lifted on June 8, 2020 to begin a
phased reopening. As of August 2020, India surpassed 2.3 million cases of COVID-19, the
third highest case load after the United States and Brazil [3].
Historically, epidemics and humanitarian crises have disproportionately impacted the most
vulnerable, including women and girls [4]. Entrenched inequalities in access to education, job
opportunities, and healthcare often leave women inadequately equipped to effectively protect
themselves and their families against infection during an outbreak, and they are also more
likely to bear secondary negative effects of prolonged crises, such as economic insecurity or
challenges accessing essential health services [5]. Existing gender disparities in India may be
exacerbated or reinforced by the pandemic and are likely to affect women’s ability to make
informed decisions about adopting behaviors that mitigate risk of COVID-19.
Prevention campaigns and behavior change communication interventions across various
media, including a government-run mobile app (“Aarogya Setu”) that sends automated mes-
sages, are informing the public about COVID-19 symptoms, risk factors, and promoting pre-
ventive behaviors such as handwashing, social distancing, and wearing masks in India. To
date, there is little to no research tracing how COVID-19 messages are reaching men and
women or which sub-groups are adopting these behavioral recommendations. However, a
rapid situational assessment in the South Asia region (not including India) suggests that
women are less likely than men to have received COVID-19 information [6]. Moreover, liter-
acy, internet usage and smartphone ownership is lower among women compared to men in
India [7–9]. Accessing and understanding health promotion messages increases knowledge,
which needs to be accompanied with structural facilitators and access to resources to adopt
promoted preventive behaviors (e.g., making soap and water available for handwashing) [10–
12]. These gender gaps may result in lower adoption of promoted health behaviors and
increased risk of infection for women and girls.
The worsening COVID-19 pandemic in India is causing prolonged social and economic
disruptions that are yielding unintended consequences including economic and food insecu-
rity, and challenges in accessing healthcare. Challenges in accessing essential health services
may lead to increases in other adverse health outcomes, from vaccine preventable diseases to
poor birth outcomes and malnutrition [13,14]. This often disproportionately harms women
who may require healthcare themselves and are also often responsible for taking care of their
family’s health needs. Potential reasons for these challenges may include inability to pay clinic
fees as COVID-19 related economic insecurity persists, mobility challenges, or fear of seeking
care due to stigma or concerns about COVID-19 infection at the facility. Indeed, compared to
March 2019, March 2020 data from the Indian National Health Mission showed marked
reductions in indicators of regular health system usage [2].
In addition to physical health, lockdowns may exacerbate household stress, contributing to
increases in sexual and gender-based violence (SGBV) and poor mental health symptoms
[15,16]. While psychological distress increases generally during crises, experience of depressive
symptoms is more common among women compared to men [17]. In addition to gender, a
recent study also found that adolescents and younger adults (<25 years), those that had lost
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PLOS ONEGender specific variation in COVID-19 knowledge, behavior and health effects among young adults
employment, and/or lacked formal education were more likely to experience depressive symp-
toms as a result of the pandemic’s effects [18]. Relatedly, stress and ongoing lockdowns have
been linked with violence against women, as in past humanitarian crises [19]. Some countries
reported increases in SGBV during COVID-19 lockdowns [15,20]. Concerns around these sec-
ondary health and well-being effects are significant.
As India is home to the largest population of adolescents and young adults of any country
worldwide, understanding the impact of the pandemic on this important age cohort will also
be critical. In the age- and gender-stratified settings of India, prevailing gender disparities and
traditional gender norms affect health and well-being of adolescents and young people dispro-
portionately. However, little is known regarding the experience during the COVID-19 pan-
demic of Indian adolescent girls and young women compared to men. A cross-sectional
mobile phone-based survey of households in Uttar Pradesh (UP) and Bihar was carried out
four to six weeks after lockdown was imposed. This analysis highlights the gender specific vari-
ation in COVID-19 knowledge and practice of preventive behaviors, and mental health effects
among a cohort of adolescent and young adults. Findings from this study can inform the
development of social service programs and education campaigns to ensure that adolescent
and young women have access to tailored information and resources during this protracted
crisis to ensure development and equity gains are not lost.
Methods
Sampling strategy
A rapid telephone survey was conducted with a sample of participants drawn from an existing
Population Council cohort study of adolescents and young adults. Understanding the Lives of
Adolescents and Young Adults (UDAYA) is a state-level representative longitudinal study of
adolescent girls and boys (aged 10–19) in rural and urban settings in Bihar (n = 10,433) and
UP (n = 10,161), with baseline conducted in 2015–2016 and endline in 2018–19. The original
UDAYA study objectives were to better understand adolescents’ acquisition of assets and their
transition from adolescence to adulthood [21,22]. UDAYA researchers used the 2011 Indian
Census to create a systematic, multi-stage sampling frame for the selection of 150 primary
sampling units (PSU) in each state, with an equal breakdown between urban and rural areas.
UDAYA was designed to provide estimates for five categories of adolescents, namely unmar-
ried younger boys and girls aged 10–14, unmarried older boys and girls aged 15–19, and mar-
ried older girls aged 15–19 that represent each state [21,22].
UDAYA households eligible for inclusion in the COVID-19 survey were those in which
we interviewed a 15-19-year-old boy or girl in 2015–16. Phone numbers were available for
9,771 of such UDAYA participants– 2,437 boys and men and 7,334 girls and women. We
randomly sampled households for the mobile phone survey from this list of telephone num-
bers, stratified by gender. The enumerators contacted telephone numbers belonging to
5,520 UDAYA participants– 1,512 boys and men and 4,008 girls and women–attempting
each number up to 3 times and completing about 10 interviews per day. Of those attempted,
51% of telephone numbers were no longer functional (of UDAYA participants, 44% of boys
and men and 53% of girls and women). Of numbers we successfully reached, 5% of respon-
dents refused to participate in the study. Overall, participants in the COVID-19 study had
slightly higher educational attainment, were slightly more urban, and had slightly higher
household wealth compared to the source cohort. The characteristics of the UDAYA base-
line cohort compared to those who were enrolled in the COVID-19 mobile-phone survey is
summarized in a S1 Table.
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PLOS ONEGender specific variation in COVID-19 knowledge, behavior and health effects among young adults
Mobile phone questionnaire
Participants were contacted via mobile phone to remove the risk to field staff and participants
of COVID-19 infection. After verbal consent for participation, a short questionnaire lasting no
longer than 30 minutes was administered. The questionnaire included questions regarding
basic demographics, awareness of COVID-19 or coronavirus, knowledge of symptoms, risk
groups and transmission, perceived risk, COVID-19 prevention behaviors, and fears or con-
cerns regarding the outbreak. Questions assessing household and individual needs under the
government lockdown were also included. In the survey participants self-reported their sex as
male or female; throughout this paper we will refer to respondents as men and women to illus-
trate that our analysis reports how the pandemic impacts gender (the socially constructed
characteristics of men and women) not biological sex.
Ethical review
We received expedited ethical approval from the Population Council’s Institutional Review
Board (IRB) by meeting criteria for research conducted during COVID-19. The IRB permitted
data collection with participants with previous consent from existing cohort studies, provided
the research is aligned with national mitigation efforts. The UDAYA study protocol originally
received IRB approval in 2015 for longitudinal data collection. Participants were told they
could terminate the study at any time or skip any sections. No incentives were offered for tak-
ing part in the study.
Data management and analysis
The survey responses were entered in mini laptops using instruments developed with CSPro
7.1 and exported to Stata v15 for analysis. Each household had a unique ID number, and all
personally identifiable information was removed to ensure confidentiality.
Two summary outcome variables were created. First, participants who correctly identified
all three COVID-19 symptoms (fever, cough and difficulty in breathing) were considered to
have correct knowledge (dichotomous variable). Participants who reported implementing all
four preventive behaviors (staying home more, wearing a mask, washing hands/using sanitizer,
and staying 2m apart) were categorized as implementing the four main preventive behaviors
(dichotomous variable). Depressive symptoms, as measured by reporting feeling lonely,
depressed or irritable during the lockdown, was collected as a dichotomous variable. To con-
trol for household wealth, we created a proxy variable constructed from the presence of four
basic amenities: safe drinking water, electricity, toilet facility and safe cooking fuel. Educational
attainment was categorized into three levels, with grade 8 indicating completion of primary
education and grade 10 indicating completion of secondary education. Religion was catego-
rized as Hindu or Muslim (dichotomous variable), with 9 indicating ‘other’ and excluded from
models. Lastly, caste was categorized as scheduled caste/tribe (SC/ST), other backward castes
(OBC) and general (neither SC/ST nor OBC); these designations, as provisioned in the Indian
constitution, are used to identify marginalized groups in the population. Only women were
asked if they had experienced any violence in the home in the last 15 days under lockdown.
All survey responses were tabulated by gender and tested for statistical significance
(p<0.05) using chi-square tests. We implemented linear probability regression models based
on three outcomes of interest. First, knowledge of all three key symptoms of COVID-19. Sec-
ond, practicing all four of the key preventive behaviors. The third outcome was self-reported
experience of loneliness, depression, or irritability (dichotomous variable) in the previous
seven days used to define experience of depressive symptoms. Three separate linear probability
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PLOS ONEGender specific variation in COVID-19 knowledge, behavior and health effects among young adults
regression models were constructed for each of the three outcome variables, first for the full set
of respondents and then stratified by gender.
Results
A total of 1,666 adolescents and young adults (18–24 years) previously enrolled in the UDAYA
study were surveyed. Of these, 70% were women, over half had completed 10+ years of educa-
tion (72%) and nearly half resided in urban areas (47%) (Table 1). Fewer women (40%) than
Table 1. Demographics and COVID-19 related outcomes of interest tabulated by gender.
Demographic/Household characteristics
Age group
18–19 years
20–24 years
Religion
Hindu
Muslim
Other
Completed years of education
0–7 years
8–9 years
10 and above years
Caste
General caste
Other backward caste (OBC)
Scheduled caste/tribe
Current place of residence
Urban (vs Rural)
Have four key amenities1
Yes (vs No)
COVID-19 Outcomes of Interest
Mental Health: have you felt depressed, lonely or irritable under lockdown?
Never
Sometimes
Most of the time
Knowledge and behaviors
Knows all 3 top symptoms2
Reports practicing all 4 main preventive measures3
Economic and health access effects
Self or household member lost job/income source due to COVID-19
Among women who required each health service but could not access it:
Antenatal care
Family planning
Child immunization
Nutrition
Men
N = 506
Women
N = 1,160
Total
N = 1,666
88 (17%)
418 (83%)
432 (85%)
68 (13%)
6 (1%)
25 (5%)
59 (12%)
422 (83%)
108 (21%)
268 (53%)
130 (26%)
160 (14%)
1,000 (86%)
911 (79%)
246 (21%)
3 (0%)
195 (17%)
191 (16%)
774 (67%)
262 (23%)
615 (53%)
283 (24%)
248 (15%)
1,418 (85%)
1,343 (81%)
314 (18%)
9 (1%)
220 (13%)
250 (15%)
1,196 (72%)
370 (22%)
883 (53%)
413 (25%)
274 (54%)
502 (43%)
776 (47%)
180 (36%)
342 (29%)
522 (31%)
972 (58%)
578 (35%)
116 (7%)
266 (53%)
199 (39%)
321 (63%)
159 (31%)
26 (5%)
463 (40%)
158 (14%)
651 (56%)
419 (36%)
90 (8%)
729 (44%)
357 (21%)
p-value
0.058
<0.001
<0.001
0.785
<0.001
0.014
0.011
<0.001
<0.001
274 (54%)
788 (68%)
1,062 (64%)
<0.001
-
-
-
-
138 (12%)
239 (21%)
433 (37%)
595 (51%)
-
-
-
-
-
-
-
-
Notes
1 Includes source of light i.e. electricity, source of water i.e., improved water, source of clean fuel i.e. LPG/bio-gas and type of toilet facility i.e., own/public flush toilet
2 Three main symptoms are fever, cough, and difficulty breathing
3 Four main behaviors are stay home unless urgent, keep 2m apart from others, wear a mask, and wash hands/use sanitizer
https://doi.org/10.1371/journal.pone.0244053.t001
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PLOS ONEGender specific variation in COVID-19 knowledge, behavior and health effects among young adults
Table 2. Linear probability model of factors associated with knowledge of all 3 main COVID-19 symptoms (fever,
cough, difficulty breathing), stratified by gender.
VARIABLES
Model 1: All
Model 2: Men
Model 3: Women
(1)
(2)
(3)
Women (vs men)
Muslim (vs Hindu)
Educational attainment (0–7 years = REF)
8–9 years
10+ years
Caste (OBC = REF)
General Category
Scheduled Caste/ Tribe
-0.069��
(-0.122 - -0.021)
-0.047
NA
-0.067
NA
-0.049
(-0.109–0.015)
(-0.198–0.064)
(-0.120–0.023)
0.059
-0.102
0.088
(-0.028–0.146)
0.242��
(-0.336–0.132)
0.136
(-0.006–0.182)
0.250��
(0.171–0.314)
(-0.070–0.342)
(0.173–0.328)
0.069�
(0.010–0.128)
0.022
0.138�
(0.026–0.251)
0.044
0.040
(-0.029–0.110)
0.014
(-0.035–0.080)
(-0.061–0.149)
(-0.056–0.083)
Age 20–24 (vs 18–19 years)
0.008
0.020
0.001
(-0.056–0.073)
-0.067�
(-0.123 - -0.011)
0.111��
(-0.093–0.133)
-0.045
(-0.146–0.055)
0.104
(-0.078–0.080)
-0.077�
(-0.146 - -0.009)
0.109��
(0.049–0.172)
(-0.004–0.211)
(0.033–0.185)
-0.039
0.017
-0.061
(-0.091–0.013)
(-0.082–0.116)
(-0.123–0.001)
1,666
0.095
506
0.073
1,160
0.092
Rural (vs urban)
Household has all 4 amenities
Bihar (vs UP)
Observations
R-squared
CI in parentheses
�� p<0.01
� p<0.05
https://doi.org/10.1371/journal.pone.0244053.t002
men (53%) knew the main symptoms of COVID-19 and fewer women than men practiced key
preventive behaviors such as staying home unless it is urgent and wearing a mask (Table 1).
Fewer women reported doing all prevention behaviors (14% vs 39% of men). A greater propor-
tion of women respondents reported experience of depressive symptoms.
In the full model, women were less likely than men to know COVID-19 symptoms (coeff =
-0.069; 95% CI: -0.122 - -0.021) (Table 2). The model was then stratified by gender (men- and
women-only models). For the men-only model, there were no key characteristics associated
with more or less knowledge of symptoms, except that those in the general caste category were
14 pp more likely to know the symptoms compared with those in the OBC category
(coeff = 0.138; 95% CI: 0.026–0.251). In the women-only model, several characteristics were
associated with having more knowledge of key symptoms. Women who had completed 10
+ years of education were 25 pp more likely to know the symptoms compared with those only
having zero to seven years of education (coeff = 0.250; 95% CI: 0.173–0.328); relatedly, women
residing in households with key amenities were much more likely to know the symptoms
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PLOS ONEGender specific variation in COVID-19 knowledge, behavior and health effects among young adults
Fig 1. Proportion of respondents that practice all four the key preventive behaviors, by gender and educational
attainment.
https://doi.org/10.1371/journal.pone.0244053.g001
(coeff = 0.109; 95% CI: 0.033–0.185). Women living in rural areas had lower knowledge of the
symptoms.
Fig 1 highlights the education and gender differences in reportedly practicing all four main
preventive behaviors; this proportion increases across categories of educational attainment for
both men and women (Fig 1). Findings also show that women respondents with secondary
education (10+ years) were less likely than men respondents with less than primary education
(0–7 years) to report practicing all four prevention measures.
In the full model exploring characteristics associated with doing all four prevention behav-
iors, women were 22 pp less likely than men to report doing all behaviors (coeff = -0.221; 95%
CI: -0.263 - -0.180) (Table 3). The full model was re-run stratified by gender. Among men, sev-
eral characteristics contributed to reportedly practicing all four prevention behaviors. Men
who knew the top three symptoms were more likely to practice the four key preventive behav-
iors (coeff = 0.107; 95% CI: 0.020–0.194). Men in rural areas and in Bihar were much less likely
to carry out the four behaviors. For the women-only model, the only characteristic that was
associated with conducting the four behaviors was knowledge of the three main symptoms
(coeff = 0.160; 95% CI: 0.119, 0.201) (Table 3).
The last model explored characteristics associated with self-reported experience of depres-
sive symptoms. In the full model, women were 5 pp more likely to report that they were
experiencing depressive symptoms compared to men (coeff = 0.052; 95% CI: -0.001, 0.104)
(Table 4). When stratified by gender, among men only, household loss of employment was the
only factor associated with depressive symptoms (coeff = 0.169; 95% CI 0.083, 0.254). Among
women only, household loss of employment, religion, and experience of violence were signifi-
cantly associated with depressive symptoms. Women belonging to the Muslim religion com-
pared to those who identified as Hindu, were more likely to report experience of depressive
symptoms (coeff = 0.084; 95% CI:0.012, 0.156). Women who reported violence in the home in
the last 15 days were 30 pp more likely to report experience of depressive symptoms
(coeff = 0.304; 95% CI: 0.133; 0.475).
Women reported whether they had required health services in the previous week, and if so,
if they were able to access them (this question was not included for men). Most women had
not required health services in the previous week. Of the types of services that were required,
nutrition services and child immunization services were the most reported. Among women
who sought nutrition services, 51% required but could not access them, 1% required and were
able to access them. For child immunization services 37% were unable to access them, none
who needed child immunization services could access them. For family planning, 76% stated
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PLOS ONEGender specific variation in COVID-19 knowledge, behavior and health effects among young adults
Table 3. Linear probability model of factors associated with reporting all four main preventive behaviors are
being implemented, by gender.
VARIABLES
Women (vs men)
Knowledge of 3 key COVID symptoms
(1)
Model 1
-0.221��
(-0.263 - -0.180)
0.134��
(2)
(3)
Model 2: Men
Model 3: Women
NA
0.107�
NA
0.160��
Muslim (vs Hindu)
-0.045
-0.090
-0.018
(0.09–0.173)
(0.020–0.194)
(0.119–0.201)
Educational attainment (0–7 years REF)
8–9 years
10+ years
Caste (OBC = REF)
General Category
(-0.096–0.005)
(-0.219–0.039)
(-0.069–0.033)
REF
0.009
REF
0.126
REF
-0.008
(-0.062–0.079)
(-0.105–0.357)
(-0.075–0.059)
0.037
0.187
0.022
(-0.022–0.096)
(-0.015–0.390)
(-0.033–0.077)
REF
-0.022
REF
-0.106
REF
0.020
(-0.070–0.026)
(-0.217–0.004)
(-0.029–0.069)
Scheduled Caste/Tribe
-0.002
0.011
-0.007
(-0.049–0.045)
(-0.092–0.115)
(-0.056–0.042)
-0.004
-0.053
(-0.056–0.049)
-0.019��
(-0.074 - -0.017)
-0.056��
(-0.165–0.059)
-0.147��
(-0.234 - -0.060)
-0.103�
0.018
(-0.039–0.074)
-0.011
(-0.052–0.029)
-0.036
(-0.099 - -0.014)
(-0.201 - -0.006)
(-0.081–0.008)
1,666
0.128
506
0.059
1,160
0.066
Age group
Rural (vs Urban)
Bihar (vs UP)
Observations
R-squared
CI in parentheses
�� p<0.01
� p<0.05
https://doi.org/10.1371/journal.pone.0244053.t003
they did not require this service in the previous week, of those that did, 21% could not access
family planning services (84% of those with a family planning service need) (Fig 2).
Discussion
Conducted early in the pandemic, our study identifies gender disparities in COVID-19 related
knowledge and uptake of promoted preventive behaviors among young people in two states in
India. Overall, women were less likely to be able to identify all three of the main COVID-19
symptoms correctly, potentially due to challenges in accessing information or receiving less
accurate information of COVID-19 symptoms. Women were also less likely to be practicing
the most effective prevention behaviors and they were also more likely to report symptoms of
depression. Access to health services is also reportedly affected by the pandemic, with most
women in need of services unable to access them, including nutrition, child immunization,
family planning and antenatal care services. As of Fall 2020, the pandemic is still not under
control globally, and the threat of continued infections remains; therefore, understanding the
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PLOS ONEGender specific variation in COVID-19 knowledge, behavior and health effects among young adults
Table 4. Linear probability model of factors associated with self-reported experience of depressive symptoms dur-
ing lockdown, by gender.
VARIABLES
Women (vs men)
Household lost employment
Educational attainment (0–7 years REF)
8–9 years
10+ years
Age 20–24 (vs 18–19 years)
Rural (vs urban)
Bihar (vs UP)
Muslim (vs Hindu)
Under lockdown, experienced any violence in the home in the last 15
days (women only)
Observations
R-squared
CI in parentheses
�� p<0.01
� p<0.05
(1)
Model 1
0.052�
(0.000–
0.104)
0.133��
(0.083–
0.183)
REF
-0.006
(-0.095–
0.083)
0.018
(-0.055–
0.091)
0.021
(-0.046–
0.088)
-0.013
(-0.061–
0.035)
0.038
(-0.015–
0.092)
0.073��
(0.011–
0.135)
NA
(2)
Model 2:
Men
(3)
Model 3:
Women
NA
NA
0.169��
(0.083–
0.254)
REF
0.019
(-0.211–
0.250)
0.026
(-0.174–
0.226)
-0.001
(-0.113–
0.110)
-0.036
(-0.121–
0.049)
0.059
(-0.038–
0.156)
0.041
(-0.085–
0.168)
NA
0.117��
(0.055–0.179)
REF
-0.022
(-0.121–0.076)
0.013
(-0.067–0.092)
0.033
(-0.050–0.115)
0.002
(-0.057–0.060)
0.021
(-0.044–0.086)
0.084��
(0.012–0.156)
0.304��
(0.133–0.475)
1,658
0.027
501
0.038
1,157
0.028
https://doi.org/10.1371/journal.pone.0244053.t004
needs and experiences of adolescents and young adults is critical to offering resources and
social support, with attention to gender.
Gender differences in accurate knowledge of key COVID-19 symptoms likely reflect young
women’s lower levels of educational attainment and lower media exposure, as well as lower
access to mobile phones [21,22]. Among women, there was significant variation in the charac-
teristics of who had COVID-19 information, such as higher educational attainment, urban res-
idence, and higher economic status. These factors likely reflect higher literacy and access to
information among some young women. Interestingly, no variation was observed within men,
and overall, their knowledge was higher than for women. This finding is supported by available
literature on past pandemics. During an outbreak of influenza A (H1N1) in India, a small
study found that men had more knowledge of H1N1; this was attributed to men having more
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PLOS ONEGender specific variation in COVID-19 knowledge, behavior and health effects among young adults
Fig 2. Among women, number requiring health services and of those, number unable to obtain them by type of
service.
https://doi.org/10.1371/journal.pone.0244053.g002
social interactions through employment and having higher literacy rates than women [23].
Higher knowledge among men may be influenced by their greater exposure to risk outside the
home for work and socializing shaped by gendered social norms. A recent study from India
found differential COVID-19 risk and mortality by gender, reporting that most infections are
among men [24]. Our study also suggests that men have higher potential exposure but also
higher knowledge of COVID-19 symptoms and prevention; gender dynamics and social
norms may increase both knowledge and infection risk among men. Among women, lower
adoption of promoted behaviors may also reflect the gender roles and the fact that women
spend more time indoors. If women are not going outside, they may not be wearing masks or
keeping 2m distance from others because they are not interacting outside the household.
Knowledge was the only factor associated adoption of promoted behaviors among women;
potentially there are other unmeasured characteristics that are associated with observed varia-
tion among women. To bridge this knowledge gender gap, additional research on whether and
how the pandemic is reinforcing gender roles may help inform gender sensitive education
campaigns via media that women can access and understand even with limited literacy.
Mental health and healthcare-seeking behavior for young people are also affected. Our find-
ings suggest that loss of employment among household members due to the lockdown was
associated with depressive symptoms among both men and women. Approximately 400 mil-
lion informal sector workers in India have lost their livelihood due to COVID-19 and related
lockdowns [25]; interviews with informal sector workers describe impending poverty, evic-
tions and hunger as incomes and work opportunities are sharply curtailed [26]. Previous
research has also found a link between loss of employment and SGBV, both of which likely
relate to depressive symptoms during lockdown [15,16]. A recent study conducted prior to
COVID-19 of mental health in India found being a woman, younger age, loss of employment,
and other characteristics were associated with symptoms of depression, anxiety and stress [18].
Many women reported that they had forgone necessary medical services, which may lead to
adverse secondary health outcomes and outbreaks of other diseases. Among women surveyed,
most of those who did require a health service could not access them. Public transit commonly
used to visit clinics was closed during lockdown, which may have affected access [2]. Chal-
lenges in accessing health services must be carefully monitored to avoid unintended secondary
health crises, including outbreaks of vaccine preventable disease, stunting/undernutrition, and
unintended pregnancy or poor birth outcomes [27]. While most women reported they did not
require any health services, this study was conducted early in the pandemic. If lockdowns
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PLOS ONEGender specific variation in COVID-19 knowledge, behavior and health effects among young adults
resume or access continues to be disrupted, utilization of essential services should be moni-
tored, and steps taken to ensure accessibility.
This study has several limitations. First there are inherent challenges in conducting surveys
that are not face-to-face; mobile phone-based data collection relies on self-reported informa-
tion conveyed by participants who may have challenges understanding questions, and we can-
not guarantee protections for participants who may be vulnerable in their households [28].
Secondly, the representativeness of the sample may be compromised as we could only inter-
view those with working phone numbers from the 2015–16 UDAYA survey. Our survey
respondents had slightly higher educational attainment and household wealth compared to
the full UDAYA cohort, suggesting that the most vulnerable from the original sample were not
reachable. Third, we asked questions regarding knowledge of COVID-19 prevention behav-
iors, then later asked about behaviors respondents were doing. Potentially, question order
nudged recall, which could explain why the proportion aware of certain behaviors was lower
than those who reported implementing them. However, both the knowledge and behavior
questions were based on spontaneous responses, not a list read by the interviewer, so this effect
should be minimal. Lastly, our measure of mental health was very simple and self-reported,
validated depression measures are necessary but challenging to collect via mobile phone
interview.
Our findings suggest that early in the pandemic lockdown, there were significant knowl-
edge gaps and secondary health effects disproportionately impacting adolescent girls and
young women. To increase knowledge of symptoms and preventive behaviors, gender-sensi-
tive behavior change campaigns should be developed, and adapted for cultural context, liter-
acy, and accessibility. Improved access to information may lead to adoption of promoted
behaviors, reducing risk of infection. Relatedly, steps to address mental health and the unin-
tended secondary health impacts of the pandemic are required. To date, the Government of
India has introduced several initiatives to address these issues, for example activating a toll-
free helpline for those requiring psychosocial counseling and issuing guidelines for the sus-
tained provision of essential health services. Government agencies are also launching special
social protection initiatives. It is critical that these measures reach the most vulnerable popula-
tions, including messaging targeted to women. Longer term efforts may also be necessary to
address the prolonged and potentially gendered effects of COVID-19 and ensure that health
and development gains are not lost due to the pandemic, especially as India’s case load has
grown to one of the highest worldwide.
Supporting information
S1 Table. Differences in key background characteristics between respondents aged 15–19
whose number was not available, who were interviewed in the COVID-19 survey and who
were not interviewed in COVID-19 survey.
(TIF)
S1 File. COVID-19 study questionnaire.
(PDF)
Acknowledgments
The authors would like to acknowledge the dedicated team at Population Council Inc. in India
that collected all of these surveys and made this research happen.
Author Contributions
Conceptualization: Jessie Pinchoff, KG Santhya, Rajib Acharya, Thoai D. Ngo.
PLOS ONE | https://doi.org/10.1371/journal.pone.0244053 December 17, 2020
11 / 13
PLOS ONEGender specific variation in COVID-19 knowledge, behavior and health effects among young adults
Data curation: Shilpi Rampal.
Formal analysis: Jessie Pinchoff, Shilpi Rampal.
Investigation: Rajib Acharya, Thoai D. Ngo.
Methodology: KG Santhya, Corinne White, Shilpi Rampal, Rajib Acharya.
Project administration: KG Santhya, Corinne White, Rajib Acharya.
Resources: KG Santhya.
Supervision: Jessie Pinchoff, KG Santhya, Rajib Acharya, Thoai D. Ngo.
Writing – original draft: Jessie Pinchoff, Corinne White.
Writing – review & editing: KG Santhya, Shilpi Rampal, Rajib Acharya, Thoai D. Ngo.
References
1.
Lancet The. India under COVID-19 lockdown. The Lancet. 2020; 395: 1315. https://doi.org/10.1016/
S0140-6736(20)30938-7 PMID: 32334687
2. Cash R, Patel V. Has COVID-19 subverted global health? The Lancet. 2020; 395: 1687–1688. https://
doi.org/10.1016/S0140-6736(20)31089-8 PMID: 32539939
3. COVID-19 Map. In: Johns Hopkins Coronavirus Resource Center [Internet]. [cited 20 Jul 2020]. Avail-
able: https://coronavirus.jhu.edu/map.html
4. Davies SE, Bennett B. A gendered human rights analysis of Ebola and Zika: locating gender in global
health emergencies. Int Aff. 2016; 92: 1041–1060. https://doi.org/10.1111/1468-2346.12704
5. Kapoor M, Agrawal D, Ravi S, Roy A, Subramanian SV, Guleria R. Missing female patients: an observa-
tional analysis of sex ratio among outpatients in a referral tertiary care public hospital in India. BMJ
Open. 2019; 9: e026850. https://doi.org/10.1136/bmjopen-2018-026850 PMID: 31391189
6. Surveys show that COVID-19 has gendered effects in Asia and the Pacific | UN Women Data Hub.
[cited 12 Jun 2020]. Available: https://data.unwomen.org/resources/surveys-show-covid-19-has-
gendered-effects-asia-and-pacific
7.
India. 27 Nov 2016 [cited 21 Jul 2020]. Available: http://uis.unesco.org/en/country/in
8. UNICEF, editor. Children in a digital world. New York, NY: UNICEF; 2017.
9. GSM Association. Connected Women: The Mobile Gender Gap Report 2020. London, United Kingdom:
GSM Association; 2020. Available: https://www.gsma.com/mobilefordevelopment/wp-content/uploads/
2020/05/GSMA-The-Mobile-Gender-Gap-Report-2020.pdf
10. Prochaska JO, Velicer WF. The transtheoretical model of health behavior change. Am J Health Promot
AJHP. 1997; 12: 38–48. https://doi.org/10.4278/0890-1171-12.1.38 PMID: 10170434
11. Parker W. Rethinking conceptual approaches to behaviour change: The importance of context.: 7.
12. Ajzen I. The theory of planned behavior. Organ Behav Hum Decis Process. 1991; 50: 179–211. https://
doi.org/10.1016/0749-5978(91)90020-T
13. Roberton T, Carter ED, Chou VB, Stegmuller AR, Jackson BD, Tam Y, et al. Early estimates of the indi-
rect effects of the COVID-19 pandemic on maternal and child mortality in low-income and middle-
income countries: a modelling study. Lancet Glob Health. 2020; 8: e901–e908. https://doi.org/10.1016/
S2214-109X(20)30229-1 PMID: 32405459
14. Akseer N, Kandru G, Keats EC, Bhutta ZA. COVID-19 pandemic and mitigation strategies: implications
for maternal and child health and nutrition. Am J Clin Nutr. 2020; 112: 251–256. https://doi.org/10.1093/
ajcn/nqaa171 PMID: 32559276
15. Wanqing Z. Domestic Violence Cases Surge During COVID-19 Epidemic. In: Sixth Tone [Internet]. 2
Mar 2020 [cited 24 Jun 2020]. Available: https://www.sixthtone.com/news/1005253/domestic-violence-
cases-surge-during-covid19-epidemic
16.
Liu N, Zhang F, Wei C, Jia Y, Shang Z, Sun L, et al. Prevalence and predictors of PTSS during COVID-
19 outbreak in China hardest-hit areas: Gender differences matter. Psychiatry Res. 2020; 287: 112921.
https://doi.org/10.1016/j.psychres.2020.112921 PMID: 32240896
17. World Health Organization. Mental health in emergencies. 11 Jun 2019 [cited 20 Jul 2020]. Available:
https://www.who.int/news-room/fact-sheets/detail/mental-health-in-emergencies
PLOS ONE | https://doi.org/10.1371/journal.pone.0244053 December 17, 2020
12 / 13
PLOS ONEGender specific variation in COVID-19 knowledge, behavior and health effects among young adults
18. Saikarthik J, Saraswathi I, Siva T. Risk factors and protective factors of mental health during COVID-19
outbreak and lockdown in adult Indian population- A cross-sectional study. medRxiv. 2020;
2020.06.13.20130153. https://doi.org/10.1101/2020.06.13.20130153
19.
John N, Casey SE, Carino G, McGovern T. Lessons Never Learned: Crisis and gender-based violence.
Dev World Bioeth. 2020; 20: 65–68. https://doi.org/10.1111/dewb.12261 PMID: 32267607
20. Organization WH. COVID-19 and violence against women: what the health sector/system can do, 7
April 2020. 2020 [cited 21 Oct 2020]. Available: https://apps.who.int/iris/handle/10665/331699
21. Santhya KG, Acharya R, Pandey N, Singh S, Rampal S, Zavier AJ, et al. Understanding the lives of ado-
lescents and young adults (UDAYA) in Bihar, India. Population Council; 2017. https://doi.org/10.1017/
S0021932017000360 PMID: 29160192
22. Santhya KG, Acharya R, Pandey N, Gupta A, Rampal S, Singh S, et al. Understanding the lives of ado-
lescents and young adults (UDAYA) in Uttar Pradesh, India (2015–16). Population Council; 2017.
https://doi.org/10.1017/S0021932017000360 PMID: 29160192
23. Kamate SK, Agrawal A, Chaudhary H, Singh K, Mishra P, Asawa K. Public knowledge, attitude and
behavioural changes in an Indian population during the Influenza A (H1N1) outbreak. J Infect Dev
Ctries. 2010; 4: 007–014. https://doi.org/10.3855/jidc.501 PMID: 20130372
24.
Joe W, Kumar A, Rajpal S, Mishra US, Subramanian SV. Equal risk, unequal burden? Gender differen-
tials in COVID-19 mortality in India. J Glob Health Sci. 2020; 2. https://doi.org/10.35500/jghs.2020.2.
e17
25. Kelley M, Ferrand RA, Muraya K, Chigudu S, Molyneux S, Pai M, et al. An appeal for practical social jus-
tice in the COVID-19 global response in low-income and middle-income countries. Lancet Glob Health.
2020; 8: E888–E889. https://doi.org/10.1016/S2214-109X(20)30249-7 PMID: 32416766
26. Mobarak AM, Barnett-Howell Z. Poor Countries Need to Think Twice About Social Distancing. In: For-
eign Policy [Internet]. [cited 28 May 2020]. Available: https://foreignpolicy.com/2020/04/10/poor-
countries-social-distancing-coronavirus/
27. Ministry of Health and Family Welfare. Guidance Note on Provision of Reproductive, Maternal, New-
born, Child, Adolescent Health Plus Nutrition (RMNCAH+N) services during & post COVID-19 Pan-
demic. Ministry of Health and Family Welfare; 2020 pp. 1–9. Available: https://www.mohfw.gov.in/pdf/
GuidanceNoteonProvisionofessentialRMNCAHNServices24052020.pdf
28. Undie C-C, Mathur S, Haberland N, Vieitez I, Pulerwitz J. Opportunities for SGBV Data Collection in the
Time of COVID-19: The Value of Implementation Science. In: Sexual Violence Research Initiative
[Internet]. 26 Jun 2020. Available: https://svri.org/blog/opportunities-sgbv-data-collection-time-covid-
19-value-implementation-science
PLOS ONE | https://doi.org/10.1371/journal.pone.0244053 December 17, 2020
13 / 13
PLOS ONE
| null |
10.1371_journal.pone.0250044.pdf
|
Data Availability Statement: Data are available
here: Wall, Kristin, 2021, "Replication Data for:
"Etiologies of genital inflammation and ulceration in
symptomatic Rwandan men and women
responding to radio promotions of free screening
and treatment services"", https://doi.org/10.7910/
DVN/CFX6UU, Harvard Dataverse.
|
Data are available here: Wall, Kristin,
|
RESEARCH ARTICLE
Etiologies of genital inflammation and
ulceration in symptomatic Rwandan men and
women responding to radio promotions of
free screening and treatment services
1*, Julien Nyombayire2, Rachel Parker1, Rosine Ingabire2,
Kristin M. WallID
Jean Bizimana2, Jeannine Mukamuyango2, Amelia Mazzei2, Matt A. Price3, Marie
Aimee UnyuzimanaID
2, Amanda Tichacek1, Susan Allen1, Etienne Karita2
a1111111111
a1111111111
a1111111111
a1111111111
a1111111111
1 Rwanda Zambia HIV Research Group, Department of Pathology & Laboratory Medicine, School of
Medicine and Hubert Department of Global Health and Department of Epidemiology, Rollins School of Public
Health, Laney Graduate School, Emory University, Atlanta, Georgia, United States of America, 2 Project San
Francisco, Rwanda Zambia HIV Research Group, Kigali, Rwanda, 3 IAVI, NY, NY, University of California
San Francisco, San Francisco, CA, United States of America
OPEN ACCESS
Citation: Wall KM, Nyombayire J, Parker R,
Ingabire R, Bizimana J, Mukamuyango J, et al.
(2021) Etiologies of genital inflammation and
ulceration in symptomatic Rwandan men and
women responding to radio promotions of free
screening and treatment services. PLoS ONE
16(4): e0250044. https://doi.org/10.1371/journal.
pone.0250044
Editor: Antonella Marangoni, Universita degli Studi
di Bologna Scuola di Medicina e Chirurgia, ITALY
Received: January 13, 2021
Accepted: March 30, 2021
Published: April 20, 2021
Copyright: © 2021 Wall et al. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
Data Availability Statement: Data are available
here: Wall, Kristin, 2021, "Replication Data for:
"Etiologies of genital inflammation and ulceration in
symptomatic Rwandan men and women
responding to radio promotions of free screening
and treatment services"", https://doi.org/10.7910/
DVN/CFX6UU, Harvard Dataverse.
Funding: This work was funded by the National
Institutes of Health (NIH) (NIAID R01 AI51231), the
* kmwall@emory.edu
Abstract
Introduction
The longstanding inadequacies of syndromic management for genital ulceration and inflam-
mation are well-described. The Rwanda National Guidelines for sexually transmitted infec-
tion (STI) syndromic management are not yet informed by the local prevalence and
correlates of STI etiologies, a component World Health Organization guidelines stress as
critical to optimize locally relevant algorithms.
Methods
Radio announcements and pharmacists recruited symptomatic patients to seek free STI
services in Kigali. Clients who sought services were asked to refer sexual partners and
symptomatic friends. Demographic, behavioral risk factor, medical history, and symptom
data were collected. Genital exams were performed by trained research nurses and physi-
cians. We conducted phlebotomy for rapid HIV and rapid plasma reagin (RPR) serologies
and vaginal pool swab for microscopy of wet preparation to diagnose Trichomonas vaginalis
(TV), bacterial vaginosis (BV), and vaginal Candida albicans (VCA). GeneXpert testing for
Neisseria gonorrhoeae (NG) and Chlamydia trachomatis (CT) were conducted. Here we
assess factors associated with diagnosis of NG and CT in men and women. We also explore
factors associated with TV, BV and VCA in women. Finally, we describe genital ulcer and
RPR results by HIV status, gender, and circumcision in men.
Results
Among 974 men (with 1013 visits), 20% were positive for CT and 74% were positive for NG.
Among 569 women (with 579 visits), 17% were positive for CT and 27% were positive for
NG. In multivariate analyses, factors associated with CT in men included younger age,
PLOS ONE | https://doi.org/10.1371/journal.pone.0250044 April 20, 2021
1 / 21
PLOS ONENIH AIDS International Training and Research
Program Fogarty International Center (D43
TW001042); and the NIH-funded Emory Center for
AIDS Research (P30 AI050409). This work was
partially funded by IAVI with the generous support
of USAID and other donors; a full list of IAVI
donors is available at https://www.iavi.org. The
contents of this manuscript are the responsibility of
the authors and do not necessarily reflect the views
of USAID or the US Government. The funders had
no role in study design, data collection and
analysis, decision to publish, or preparation of the
manuscript.
Competing interests: No authors have competing
interests.
Etiologies of genital abnormalities in Rwandan men and women
responding to radio advertisements, <17 days since suspected exposure, and not having
dysuria. Factors associated with NG in men included not having higher education or full-
time employment, <17 days since suspected exposure, not reporting a genital ulcer, and
having urethral discharge on physical exam. Factors associated with CT in women included
younger age and < = 10 days with symptoms. Factors associated with NG in women
included younger age, lower education and lack of full-time employment, sometimes using
condoms vs. never, using hormonal vs. non-hormonal contraception, not having genital
ulcer or itching, having symptoms < = 10 days, HIV+ status, having BV, endocervical dis-
charge noted on speculum exam, and negative vaginal wet mount for VCA. In multivariate
analyses, only reporting >1 partner was associated with BV; being single and RPR+ was
associated with TV; and having < = 1 partner in the last month, being pregnant, genital itch-
ing, discharge, and being HIV and RPR negative were associated with VCA. Genital ulcers
and positive RPR were associated with being HIV+ and lack of circumcision among men.
HIV+ women were more likely to be RPR+. In HIV+ men and women, ulcers were more
likely to be herpetic rather than syphilitic compared with their HIV- counterparts.
Conclusions
Syndromic management guidelines in Rwanda can be improved with consideration of the
prevalence of confirmed infections from this study of symptomatic men and women repre-
sentative of those who would seek care at government health centers. Inclusion of demo-
graphic and risk factor measures shown to be predictive of STI and non-STI dysbioses may
also increase diagnostic accuracy.
Introduction
Globally, over 1 million new sexually transmitted infections (STI) occur each day [1]. The
prevalence of STI increased an estimated 59% in sub Saharan Africa between 1999 and 2005
and has continued to rise [2]. The World Health Organization (WHO) 2016–2021 Global
Health Sector Strategy on Sexually Transmitted Infections aims to reduce STI 90% by 2030
using “[epidemiologic] information for focused action” [3].
The association between genital ulceration and inflammation (GUI) due to STI and non-
STI etiologies and heterosexual HIV transmission and acquisition has been extensively studied
in Africa [4–12]. Broadly, in observational studies GUI is associated with both transmitting
and acquiring HIV in both men and women, and with transmission of more than one virion,
an otherwise rare event, in cohabiting heterosexual discordant couples which comprise one of
the largest HIV risk groups [6, 13–17].
Ulcerative STI that may facilitate HIV transmission include syphilis (Treponema pallidum,
TP), Herpes simplex virus (HSV), and chancroid (Haemophilus ducreyi, HD) [18–20]. Inflam-
matory STI that increase HIV transmission include gonorrhea (Neisseria gonorrhoeae, NG),
chlamydia (Chlamydia trachomatis, CT), and Trichomonas vaginalis (TV) [21–24]. Common
non-STI dysbioses associated with genital inflammation include bacterial vaginosis (BV) and
vaginal Candida albicans (VCA) [25–29].
Untreated TP, HD, HSV, NG, CT and TV can cause severe morbidity and, along with BV
and VCA (which are troublesome but non-invasive), can contribute to HIV transmission. In
our studies in African HIV discordant heterosexual couples, GUI contribute a substantial pop-
ulation attributable fraction of HIV transmission in both donor and recipient [15].
PLOS ONE | https://doi.org/10.1371/journal.pone.0250044 April 20, 2021
2 / 21
PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
The longstanding inadequacies of syndromic management for GUI are well-described [30–
37] but this approach remains the default in many resource-limited settings in Africa due to
the high cost of molecular and culture-based diagnostics. The Rwanda National Guidelines for
HIV and STI syndromic management were last updated in 2019 but these guidelines are not
yet informed by the local prevalence and correlates of STI etiologies, a component WHO
guidelines stress as critical to optimize locally relevant algorithms. We have previously pub-
lished results of a survey of GUI among Female Sex Workers (FSW) in Kigali, but that study
lacked molecular diagnostics for NG and CT [38].
Here we contribute to the epidemiologic data needed to inform improved diagnostic and
treatment algorithms in Rwanda by exploring demographic, behavioral, medical history,
symptom, genital exam, and laboratory factors associated with molecular diagnosis of NG and
CT in men and women. We also explore factors associated with vaginal pathogens TV, BV and
VCA in women. Finally, we describe genital ulcer and rapid plasma reagin (RPR) results strati-
fied by gender, HIV status, and among men, by male circumcision status.
Methods
Ethics
This program was approved as non-research by the Rwandan National Ethics Committee.
This program was determined to be non-research by the Emory Institutional Review Board
criteria. Diagnostic and treatment were provided anonymously as free services.
Setting
Kigali, the capital of Rwanda, has a population of over 1 million people and an adult HIV prev-
alence of 4.3% [39]. Between January 2016 and August 2019, The Center for Family Health
Research (CFHR), a research site established in Kigali in 1986 and affiliated with Emory Uni-
versity in Atlanta, GA, USA, implemented a program for diagnosis and treatment of symptom-
atic GUI residents of Kigali. CFHR has worked closely with the Rwanda Ministry of Health
(MoH) on research for improved HIV and reproductive health care in government-run health
centers for many years [25, 40–43].
Patient recruitment
Patients were residents of Kigali, Rwanda and were recruited in three ways: radio announce-
ments, partner/friend referral, and pharmacist referral. Radio announcements were made in
Kinyarwanda, Rwanda’s vernacular, encouraging men and women with symptoms suggestive
of GUI (e.g., genital discharge, discomfort, ulcer) to seek free services at CFHR clinic and were
broadcast throughout Kigali. Clients who sought services were then asked to refer sexual part-
ners and symptomatic friends. Local pharmacists were alerted to the program and asked to
refer individuals seeking treatments for suggestive symptoms. There were no inclusion/exclu-
sion criteria applied to participant recruitment. Participants are representative of residents of
Kigali with genital symptoms who self-selected to receive care.
Data collection and diagnostic procedures
Demographics, behavioral risk factors, medical histories, and symptoms were collected using a
standard instrument (S1 Fig). This information was obtained during interviews conducted by
nurses who recorded data on paper and entered it into MS Access. Similarly, findings from
genital exams performed by trained physicians and nurses were recorded on paper and entered
into MS Access. Samples for laboratory testing were taken from all patients and included
PLOS ONE | https://doi.org/10.1371/journal.pone.0250044 April 20, 2021
3 / 21
PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
phlebotomy for rapid HIV and RPR serologies and vaginal pool swab for microscopy of wet
preparation to diagnose TV, BV and VCA. GeneXpert testing for NG and CT (Cepheid, Sun-
nyvale USA) was conducted for all patients using endocervical swabs obtained from women
and either urethral swabs (when discharge was reported or noted on physical exam) or urine
samples from men. In collaboration with the MoH, CFHR developed a uniform alphanumeric
identifier to allow anonymous data recording.
Data analysis
Analyses were conducted with Statistical Analysis Software (SAS, Cary, NC). Frequencies of single
and multiple infections were stratified by gender and HIV status. Demographic, behavioral, medi-
cal history, physical exam, microscopy and serology results were tabulated by gender and by NG
and CT results. Bivariate and multivariate analyses of factors associated with NG or CT are pre-
sented in tables. Multivariable logistic regression models included variables associated with each
outcome at p<0.05 in bivariate analysis and then backward selection was applied. Prevalence
odds ratios (crude and adjusted, cPOR and aPOR, respectively) and 95% confidence intervals
(CIs) and 2-sided p-values are presented. Variable multi-collinearity was assessed. Repeated visits
by STI clients with new complaints were accounted for using the GENMOD procedure.
Bivariate and multivariate factors associated with vaginal pathogens TV, BV and VCA in
women were analyzed in analogous fashion with results summarized in text. Demographic,
behavioral, medical history, and HIV and RPR serology results were considered for model
inclusion. Finally, genital ulcer and RPR results were described by gender, HIV status, and
among men, by male circumcision status.
Results
Unless specified in text, p-values are <0.05 for comparisons with details presented in Tables.
Summary of GUI diagnosed in men and women (Table 1)
GeneXpert for NG and CT were provided to men during 1013 visits (974 unique men)
between March 2017 and February 2019. Men tested HIV+ during 5% of these visits. Preva-
lence of NG was 74% and prevalence of CT was 20%, with no differences by HIV status. In the
975 visits with RPR results, TP prevalence was significantly higher among HIV+ (13%) com-
pared with HIV- (5%) men. Nineteen percent of visits were negative for all pathogens, and
17% of visits had more than one infection identified.
GeneXpert for NG and CT were provided to women during 579 visits (569 unique women)
between March 2017 and February 2019. Women tested HIV+ during 13% of these visits.
Prevalence of NG was 26% and prevalence of CT was 17%, with higher prevalence of NG
among HIV+ women. The prevalence of TV (overall 13%) was higher in HIV+ women,
whereas the prevalence of VCA (overall 21%) was higher in HIV- women. In the 568 visits
with RPR results, TP prevalence was significantly higher among HIV+ (22%) compared with
HIV- (6%) women and having multiple pathogens identified was more prevalent among HIV
+ (36%) compared with HIV- (24%) women’s visits. Conversely, having no pathogen identi-
fied was more prevalent in HIV- (31%) versus HIV+ (18%) women’s visits.
Demographics and factors associated with CT and NG in men (Tables 2 and 3)
Men averaged 30.8 years of age, 77% were single, 64% had at least a secondary education, 55%
were employed full time, 22% reported more than one partner in the last 30 days and 57%
reported never using condoms in the past three months. The most common symptoms
PLOS ONE | https://doi.org/10.1371/journal.pone.0250044 April 20, 2021
4 / 21
PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
Table 1. Distribution of pathogens identified in symptomatic men and women in Kigali, Rwanda.
Total
HIV+ (N = 54)
HIV- (N = 958)
p-value
Among all men (N = 1013 visits)�
None identified
CT
NG
CT and NG
Among men with RPR results (N = 975 visits)
None identified
TP
Any multiple infection
Among all women (N = 579 visits)
None identified
CT
NG
CT and NG
BV
TV
VCA
Among women with RPR results (N = 568 visits)
None identified
TP
Any multiple infection
N
196
204
751
138
184
52
164
N
176
98
152
45
113
72
118
169
46
146
Col %
19%
20%
74%
14%
19%
5%
17%
N
14
7
40
7
14
7
11
Col %
26%
13%
74%
13%
26%
13%
21%
N
182
196
711
131
170
45
153
Col %
19%
20%
74%
14%
18%
5%
17%
Total
HIV+ (N = 75)
HIV- (N = 504)
Col %
30%
17%
26%
8%
21%
13%
21%
30%
8%
26%
N
13
8
34
5
20
15
6
13
16
26
Col %
17%
11%
45%
7%
28%
20%
8%
18%
22%
36%
N
163
90
118
40
93
57
112
156
30
120
Col %
32%
18%
23%
8%
19%
12%
23%
31%
6%
24%
0.210
0.181
0.981
0.882
0.150
0.019
0.433
0.008
0.121
<0.0001
0.702
0.087
0.039
0.004
0.020
<0.0001
0.031
TP: Treponema pallidum, NG: Neisseria gonorrhoeae, CT: Chlamydia trachomatis, TV: Trichomonas vaginalis, BV: bacterial vaginosis, VCA: vaginal Candida albicans;
RPR: rapid plasma regain
�One man missing HIV status
https://doi.org/10.1371/journal.pone.0250044.t001
reported were urethral discharge (89%) and dysuria (80%). Physical findings included urethral
discharge in 91% and genital ulcer in 5% of men (Table 2).
Multivariate analyses (Table 3) showed younger age, responding to radio advertisements,
<17 days since suspected exposure, and not having dysuria as independent factors associated
with CT.
Multivariate analyses (Table 3) showed not having higher education or full-time employ-
ment, <17 days since suspected exposure, not reporting a genital ulcer, and urethral discharge
on physical exam as independent factors associated with NG.
HIV, RPR serologic results, and circumcision status were not associated with either CT or NG.
Demographics and factors associated with CT and NG in women (Tables 4
and 5)
The mean age women was 28.7, they had 1.3 children and desired 1.4 more on average, 54%
were single, 53% had a secondary education or more, 34% had full-time employment, 83%
reported < = 1 partner in the last 30 days and 63% reported never using condoms in the past
three months. Vaginal discharge was the most common presenting symptom (82%) and endo-
cervical inflammation or discharge was noted on 49% of speculum exams. (Table 4)
Multivariate analyses (Table 5) showed younger age and having symptoms < = 10 days as
independent factors associated with CT.
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PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
Table 2. Factors associated with CT or NG infection in men in Kigali, Rwanda (N = 1013).
Demographics
Age, continuous (years)
Referrer
Radio Advert
Friends/Walk-in/Pharmacy/Contact Partner/
Internet
Living and Marital Status
Married and Cohabiting
Single or Divorced/Separated/Widow
Education Level
None
Primary
Secondary
Higher
Employment Status
Full-time employment
Part-time/Student/Jobless
Sexual behaviors
Number of partners in last 30 days
None or one partner
More than one partner
Condom use during vaginal sex in the last
three months
No partners or always used condoms
Sometimes
Never
Number of days since sexual contact you
suspect STI was acquired from
< = 8
9–16
> = 17
Self-reported symptoms
Urethral discharge
Yes
No
Dysuria
Yes
No
Genital itching
Yes
No
Genital ulcer
Yes
No
Total
(N = 1013)
CT-infected
(N = 204)
CT-uninfected
(N = 809)
p-
value
NG-infected
(N = 751)
NG-uninfected
(N = 262)
p-value
n
/mean
30.8
Col%
/SD
7.1
n
/mean
29.4
Row%
/SD
5.6
n
/mean
31.1
Row%
/SD
n
/mean
Row%
/SD
7.4
0.001
30.5
7.0
n
/mean
31.6
Row%
/SD
7.3
0.029
688
325
232
781
25
339
454
193
552
459
704
203
27
363
517
331
288
323
895
114
810
199
67
854
41
878
68%
32%
23%
77%
2%
34%
45%
19%
55%
45%
78%
22%
3%
40%
57%
35%
31%
34%
89%
11%
80%
20%
7%
93%
4%
96%
151
53
33
171
1
66
89
47
122
82
138
45
4
69
110
83
58
50
188
16
153
51
14
171
6
183
22%
16%
14%
22%
4%
19%
20%
24%
22%
18%
20%
22%
15%
19%
21%
25%
20%
15%
21%
14%
19%
26%
21%
20%
15%
21%
537
272
199
610
24
273
365
146
430
377
566
158
23
294
407
248
230
273
707
98
657
148
53
683
35
695
0.037
0.011
0.095
0.095
0.422
0.555
0.010
0.081
0.034
0.864
0.336
78%
84%
86%
78%
96%
81%
80%
76%
78%
82%
80%
78%
85%
81%
79%
75%
80%
85%
79%
86%
81%
74%
79%
80%
85%
79%
488
263
156
595
16
267
343
123
392
357
518
163
14
279
387
292
235
177
717
32
599
150
39
649
13
681
71%
81%
67%
76%
64%
79%
76%
64%
71%
78%
74%
80%
52%
77%
75%
88%
82%
55%
80%
28%
74%
75%
58%
76%
32%
78%
200
62
76
186
9
72
111
70
160
102
186
40
13
84
130
39
53
146
178
82
211
49
28
205
28
197
0.001
0.006
0.001
0.015
0.051
0.015
<0.0001
<0.0001
0.680
0.001
<0.0001
29%
19%
33%
24%
36%
21%
24%
36%
29%
22%
26%
20%
48%
23%
25%
12%
18%
45%
20%
72%
26%
25%
42%
24%
68%
22%
Number of days with symptoms
1–5
385
41%
100
26%
285
74%
0.004
332
86%
53
14%
<0.0001
PLOS ONE | https://doi.org/10.1371/journal.pone.0250044 April 20, 2021
(Continued )
6 / 21
PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
Table 2. (Continued)
Total
(N = 1013)
CT-infected
(N = 204)
CT-uninfected
(N = 809)
p-
value
NG-infected
(N = 751)
NG-uninfected
(N = 262)
p-value
Demographics
n
/mean
Col%
/SD
n
/mean
Row%
/SD
n
/mean
Row%
/SD
n
/mean
Row%
/SD
n
/mean
Row%
/SD
6–10
11–21
>21
Laboratory and physical exam
HIV Status
Positive
Negative
RPR Result
Positive
Negative
Urethral discharge
Yes
No
Genital ulcer
Yes
No
Circumcision status
Circumcised
Uncircumcised
254
192
105
54
958
52
923
858
87
46
898
524
259
27%
21%
11%
5%
95%
5%
95%
91%
9%
5%
95%
67%
33%
40
33
17
7
196
13
182
178
13
8
183
122
45
16%
17%
16%
13%
20%
25%
20%
21%
15%
17%
20%
23%
17%
214
159
88
47
762
39
741
680
74
38
715
402
214
84%
83%
84%
87%
80%
75%
80%
79%
85%
83%
80%
77%
83%
0.181
0.354
0.199
0.623
0.058
191
121
56
40
711
43
677
692
15
17
686
416
195
75%
63%
53%
74%
74%
83%
73%
81%
17%
37%
76%
79%
75%
63
71
49
14
247
9
246
166
72
29
212
108
64
25%
37%
47%
26%
26%
17%
27%
19%
83%
63%
24%
21%
25%
0.981
0.136
<0.0001
<0.0001
0.192
Not significant not shown include: Self-reported symptoms dyspareunia, unpleasant odor, abdominal pain, anal discharge, anal ulcer, anal warts, and sore throat; genital
exam results white accumulation, condyloma/warts, inguinal adenopathy >1cm unilateral and bilateral, inflammation, and testicular mass/tenderness
RPR: Rapid plasma reagin; STI: Sexually transmitted disease; NG: Neisseria gonorrhoeae, CT: Chlamydia trachomatis
https://doi.org/10.1371/journal.pone.0250044.t002
Multivariate analyses (Table 5) showed younger age, lower education and lack of full-time
employment, sometimes using condoms vs. never, using hormonal contraception vs. other or
no contraception, not having a genital ulcer or itching, having symptoms for < = 10 days, HIV
+ status, endocervical discharge noted on speculum exam, BV, and negative VCA as indepen-
dent factors associated with NG.
Factors associated with of BV, TV and VCA in women (not tabled)
Only reporting >1 partner remained independently associated with BV in multivariate analy-
ses (POR 2.21, p = 0.003). Factors associated with TV in multivariate analyses were being sin-
gle and RPR+ (aPOR 2.05, p = 0.009 and aPOR 2.37, p = 0.023, respectively). Factors
associated with VCA were having < = 1 partner in the last month (aPOR 4.26, p = 0.005),
being pregnant (aPOR 3.05, p = 0.002), always using condoms or not having sex in the last
three months vs. never using condoms (aPOR 2.42, p = 0.023), genital itching (aPOR 1.69,
p = 0.034), genital discharge (aPOR 2.56, p = 0.011), and being HIV and RPR negative (aPOR
2.93, p = 0.025 and aPOR 4.94, p = 0.031, respectively).
Genital ulcers in men and women (not tabled)
Reported and/or observed genital ulcers were more common among HIV+ (20%) compared
with HIV- (5%) men (p<0.001). Genital ulcers were noted during physical examination in
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7 / 21
PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
Table 3. Univariate and multivariate analysis of factors associated with CT or NG infection in men in Kigali, Rwanda (N = 1013).
Demographics
cPOR
95% CI
CT infection
aPOR
95% CI
p-
value
p-
value
cPOR
95% CI
p-value
aPOR
95% CI
p-value
NG infection
Age (per year increase)
0.96
0.94 0.99
0.001
0.96
0.94 0.98
0.001
0.98
0.96
1.00
0.029
Referrer
Radio Advert
1.44
1.02 2.04
0.038
1.44
1.01 2.07
0.046
ref
---
---
---
Friends/Walk-in/Pharmacy/Contact
ref
ref
1.76
1.28
2.43
0.001
Partner/Internet
Living and Marital Status
Married and Cohabiting
ref
Single or Divorced/Separated/Widow
1.69
1.13 2.54
0.011
Education Level
ref
---
---
---
1.56
1.14
2.15
0.006
None/Primary/Secondary
ref
1.84
1.32
2.58
0.000
2.39
1.57
3.63 <0.0001
Higher
Employment Status
Full-time employment
Part-time/Student/Jobless
Sexual behaviors
Number of partners in last 30 days
None or one partner
More than one partner
Condom use during vaginal sex in the last
3 months
No partners or always used condoms
Sometimes
Never
Number of days since sexual contact you
suspect STI was acquired from
0–16
> = 17
Self-reported symptoms
Urethral discharge
Yes
No
Dysuria
Yes
No
Genital itching
Yes
No
Genital ulcer
Yes
No
1.37
0.95 1.99
0.092
ref
---
---
---
ref
---
---
---
1.30
0.96 1.78
0.094
ref
---
---
---
ref
---
---
---
ref
ref
1.17
0.80 1.71
0.424
0.22 1.90
0.426
0.62 1.21
0.411
0.64
0.87
ref
1.45
1.09
1.92
0.011
1.51
1.05
2.17
0.028
ref
1.5
---
1.02
---
2.2
---
0.040
0.37
1.13
ref
0.17
0.83
---
0.8
1.54
---
0.012
0.450
---
1.61
1.13 2.30
0.009
1.64
1.15 2.35
0.007
4.68
3.43
3.37 <0.0001
3.29
2.30
4.7 <0.0001
ref
1.63
0.94 2.83
0.084
ref
ref
ref
ref
ref
---
---
---
ref
---
---
---
10.00
6.41
15.61 <0.0001
ref
---
---
---
ref
---
---
---
1.48
1.03 2.13
0.034
1.51
1.03 2.22
0.035
1.05
0.74
1.49
0.792
1.05
0.57 1.93
0.872
ref
ref
ref
---
---
---
2.24
1.35
3.72
0.002
ref
---
---
---
ref
---
---
---
1.53
0.63 3.70
0.345
7.50
3.79
14.85 <0.0001
4.50
2.22
9.13 <0.0001
Number of days with symptoms
1–10
> = 11
Laboratory and physical exam
HIV Status
Positive
1.39
0.97 1.98
0.075
ref
3.06
2.26
4.15 <0.0001
ref
---
---
---
0.58
0.26 1.31
0.189
0.99
0.53
1.86
0.980
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(Continued )
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PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
Table 3. (Continued)
Demographics
cPOR
95% CI
CT infection
aPOR
95% CI
p-
value
p-
value
cPOR
95% CI
p-value
aPOR
95% CI
p-value
NG infection
Negative
RPR Result
Positive
Negative
Urethral discharge
Yes
No
Genital ulcer
Yes
No
ref
ref
---
---
---
1.30
0.68 2.52
0.429
ref
1.65
ref
0.82
---
3.3
---
0.158
---
1.49
0.81 2.75
0.204
19.94
11.12 35.76 <0.0001
16.38
7.28 36.89 <0.0001
ref
ref
---
---
---
ref
---
---
---
0.82
0.38 1.80
0.626
ref
ref
---
---
---
5.52
2.96
10.28 <0.0001
aPOR: Adjusted prevalence odds ratio; cPOR: Crude prevalence odds ratio; RPR: Rapid plasma reagin; CI: Confidence interval; STI: Sexually transmitted disease; NG:
Neisseria gonorrhoeae, CT: Chlamydia trachomatis
Not significant not shown include: Self-reported symptoms dyspareunia, unpleasant odor, abdominal pain, anal discharge, anal ulcer, anal warts, and sore throat; genital
exam results white accumulation, condyloma/warts, inguinal adenopathy >1cm
https://doi.org/10.1371/journal.pone.0250044.t003
19% of RPR+ and 4% of RPR- men and conversely 20% of men with ulcers were RPR+ com-
pared to 4% of men without ulcers (p<0.001). Among HIV+ men, none of the seven who were
RPR+ had reported and/or observed ulcers while 23% of 43 HIV+ RPR- men had ulcers
(p = 0.319). In contrast, among HIV- RPR+ men 21% had reported or observed ulcers com-
pared to only 4% of HIV-RPR- men (p<0.001). This suggests that ulcers among HIV+ men
were more likely herpetic while among HIV- men at least one fifth were syphilitic.
Although HIV- men were more likely to be circumcised than HIV+ men (67% vs. 58%) in
our program, this difference was not significant (p = 0.196). Among circumcised men, those
who were HIV+ were more likely to have ulcers (13% vs. 4%, p = 0.074) and to be RPR+ (20%
vs. 4%, p = 0.003). Among uncircumcised men, those who were HIV+ were also more likely to
have ulcers (27% vs. 7%, p = 0.001) while the difference in RPR+ results was not significant
(12% vs. 6%, p = 0.324).
Among women, the prevalence of reported or observed ulcers was not significantly differ-
ent by HIV serostatus (20% in HIV+ vs.14% p = 0.196). Genital ulcers were noted during phys-
ical examination for 28% of RPR+ women compared with 14% of RPR- women (p<0.001). As
with men, the association between RPR results and reported and/or observed ulcers differed in
HIV+ and HIV- women: 25% of HIV+RPR+ vs. 20% of HIV+RPR- had ulcers, p = 0.729, com-
pared with 37% of HIV-RPR+ vs. 13% of HIV-RPR- women having ulcers (p = 0.001).
Discussion
We found a high prevalence of NG and CT among symptomatic men and women in Kigali.
Among men, urethral discharge was strongly associated with a diagnosis of NG while dysuria
was not associated with either infection. Specific symptoms were less helpful in identifying NG
and CT among women. Physical exam findings, demographic variables and reported risk
behaviors were independently predictive of NG and/or CT in both men and women, as were
vaginal wet mount findings and HIV serologies among women. Among women, TV and BV
were associated with sexual risk behaviors but not with symptoms while VCA was associated
with vaginal itching and discharge and with low-risk profiles. There were complex inter-
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9 / 21
PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
Table 4. Factors associated with CT or NG infection in women in Kigali, Rwanda (N = 579).
Demographics
n
/mean
Col
%/SD
n
/mean
Row
%/SD
n
/mean
Row%
/SD
n
/mean
Row
%/SD
n
/mean
Row
%/SD
Age, continuous (years)
28.7
7.2
25.6
6.1
29.3
7.2
<0.0001
26.8
6.3
29.4
7.4
<0.0001
Total (N = 579)
CT-infected
(N = 98)
CT-uninfected
(N = 481)
p-value
NG-infected
(N = 152)
NG-uninfected
(N = 427)
p-value
Referrer
Radio Advert
Friends/Walk-in/Pharmacy/Contact Partner/
Internet
Living and Marital Status
Married and Cohabiting
Single or Divorced/Separated/Widow
Education Level
None
Primary
Secondary
Higher
Employment Status
Full-time employment
Part-time/Student/Jobless
Sexual behaviors
Number of partners in last 30 days
None or one partner
More than one partner
Condom use during vaginal sex in the last 3
months
No partners or always used condoms
Sometimes
Never
Number of days since sexual contact you suspect
STI was acquired from
< = 8
9–16
> = 17
Number of children under 18, continuous
Number of additional children desired,
continuous
Pregnant
Yes
No
Want more children in next two years
Yes
No
Family planning method among women not
pregnant and do not want more children in next
two years
284
295
268
311
25
242
246
66
199
379
444
88
35
163
334
46
78
409
1.3
1.4
48
528
125
419
49%
51%
46%
54%
4%
42%
42%
11%
34%
66%
83%
17%
7%
31%
63%
9%
15%
77%
1.3
1.1
8%
92%
23%
77%
37
61
34
64
2
38
46
12
30
68
70
20
6
34
50
8
20
61
1.0
1.6
8
90
20
74
13%
21%
13%
21%
8%
16%
19%
18%
15%
18%
16%
23%
17%
21%
15%
17%
26%
15%
1.1
1.1
17%
17%
16%
18%
247
234
234
247
23
204
200
54
169
311
374
68
29
129
284
38
58
348
1.3
1.4
40
438
105
345
87%
79%
87%
79%
92%
84%
81%
82%
85%
82%
84%
77%
83%
79%
85%
83%
74%
85%
1.3
1.2
83%
83%
84%
82%
Non-Hormonal Method (IUD/Condom/Tubal
268
66%
47
18%
221
82%
0.498
Ligation/Natural Method) or No Method
Hormonal Implant
Injectable
50
48
12%
12%
9
5
18%
10%
41
43
82%
90%
0.014
0.012
0.513
67
85
60
92
9
81
54
8
0.383
39
113
0.112
0.259
0.066
0.026
0.040
0.947
0.666
95
43
4
66
68
15
31
92
1.2
1.3
11
141
33
106
56
24
16
24%
29%
22%
30%
36%
33%
22%
12%
20%
30%
21%
49%
11%
40%
20%
33%
40%
22%
1.1
1.0
23%
27%
27%
26%
217
210
208
219
16
161
192
58
160
266
349
45
31
97
266
31
47
317
1.3
1.4
37
387
88
298
0.153
0.050
0.001
0.008
76%
71%
78%
70%
64%
67%
78%
88%
80%
70%
79% <0.0001
51%
89% <0.0001
60%
80%
67%
60%
78%
1.3
1.2
77%
73%
73%
74%
0.003
0.600
0.279
0.569
0.821
21%
212
79%
0.001
48%
33%
26
32
52%
67%
(Continued )
PLOS ONE | https://doi.org/10.1371/journal.pone.0250044 April 20, 2021
10 / 21
PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
Table 4. (Continued)
Demographics
Pills
Family planning method and pregnancy
composite
Pregnant
Hormonal method (implant, injectable, pills)
Non-Hormonal (IUD/Condom/ Tubal Ligation/
Natural Method) or No Method
Self-reported symptoms
Vaginal discharge
Yes
No
Genital itching
Yes
No
Dysuria
Yes
No
Genital ulcer
Yes
No
Number of days with symptoms
1–5
6–10
11–21
>21
Laboratory and physical exam
HIV Status
Positive
Negative
RPR Result
Positive
Negative
Trichomonas
Positive
Negative
Candida
Positive
Negative
Bacterial vaginosis
Positive
Negative
Vaginal Inflammation or Discharge
Yes
No
Endocervical Inflammation or Discharge
Total (N = 579)
CT-infected
(N = 98)
n
/mean
40
Col
%/SD
10%
n
/mean
9
Row
%/SD
23%
CT-uninfected
(N = 481)
n
/mean
31
Row%
/SD
78%
p-value
NG-infected
(N = 152)
NG-uninfected
(N = 427)
p-value
n
/mean
12
Row
%/SD
30%
n
/mean
28
Row
%/SD
70%
48
139
388
475
101
320
254
266
311
64
508
72
77
131
257
75
504
46
522
72
491
118
437
113
438
469
69
8%
24%
67%
82%
18%
56%
44%
46%
54%
11%
89%
13%
14%
24%
48%
13%
87%
8%
92%
13%
87%
21%
79%
21%
79%
87%
13%
8
23
67
78
20
52
44
44
54
9
89
16
17
18
37
8
90
10
88
18
75
12
80
25
65
75
15
17%
17%
17%
16%
20%
16%
17%
17%
17%
14%
18%
22%
22%
14%
14%
11%
18%
22%
17%
25%
15%
10%
18%
22%
15%
16%
22%
40
116
321
397
81
268
210
222
257
55
419
56
60
113
220
67
414
36
434
54
416
106
357
88
373
394
54
0.979
0.412
0.732
0.793
0.489
0.170
0.121
0.401
0.038
0.035
0.062
0.232
83%
83%
83%
84%
80%
84%
83%
83%
83%
86%
82%
78%
78%
86%
86%
89%
82%
78%
83%
75%
85%
90%
82%
78%
85%
84%
78%
11
52
89
123
28
57
92
75
76
9
140
24
27
40
48
34
118
21
128
18
129
13
132
47
96
116
24
23%
37%
23%
26%
28%
18%
36%
28%
24%
14%
28%
33%
35%
31%
19%
45%
23%
46%
25%
25%
26%
11%
30%
42%
22%
25%
35%
37
87
299
352
73
263
162
191
235
55
368
48
50
91
209
41
386
25
394
54
362
105
305
66
342
353
45
0.003
0.704
77%
63%
77%
74%
72%
82% <0.0001
0.306
0.020
0.003
64%
72%
76%
86%
72%
67%
65%
69%
81%
55% <0.0001
77%
54%
75%
75%
74%
0.002
0.818
89% <0.0001
70%
58% <0.0001
78%
75%
65%
0.076
(Continued )
PLOS ONE | https://doi.org/10.1371/journal.pone.0250044 April 20, 2021
11 / 21
PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
Table 4. (Continued)
Demographics
Yes
No
Genital Ulcer
Yes
No
Total (N = 579)
CT-infected
(N = 98)
n
/mean
Col
%/SD
n
/mean
262
275
48
481
49%
51%
9%
91%
55
35
9
78
Row
%/SD
21%
13%
19%
16%
CT-uninfected
(N = 481)
n
/mean
Row%
/SD
207
240
39
403
79%
87%
81%
84%
p-value
NG-infected
(N = 152)
NG-uninfected
(N = 427)
p-value
0.010
0.652
n
/mean
88
52
12
126
Row
%/SD
34%
19%
25%
26%
n
/mean
174
223
36
355
Row
%/SD
66%
81%
75%
74%
<0.001
0.857
Not significant not shown include: Self-reported symptoms anal discharge, anal ulcer, anal warts, and sore throat; genital exam results non-menstrual bleeding (cervix
and vagina), condyloma/warts (cervix and vagina), inguinal adenopathy >1cm unilateral and bilateral, adnexal tenderness and adnexal mass.
IUD: intrauterine device; RPR: Rapid plasma reagin; CI: Confidence interval; STI: Sexually transmitted disease; NG: Neisseria gonorrhoeae, CT: Chlamydia trachomatis
https://doi.org/10.1371/journal.pone.0250044.t004
relationships between HIV and RPR serologies and genital ulcers, and these were further influ-
enced by circumcision status among men. These findings exemplify the locally relevant data
that can inform approaches to diagnosis and treatment in Rwanda as called for by WHO. Our
models had good discrimination and use of these data may offer improvement over the current
algorithm recommended by the Rwandan National Guidelines.
As in other studies, syndromic management may perform better among men compared to
women due to the ease of detecting abnormalities on external genitalia and the high likelihood
of NG among men reporting urethral discharge [44]. Surprisingly, dysuria was as common as
discharge in men but contrary to conventional wisdom we did not find an association between
dysuria and NG or CT [45].
The most common presenting symptom among women was vaginal discharge which was
only associated with VCA and not with NG, CT, BV or TV. Genital itching was reported by
over half of patients and was also predictive of VCA. Itching was also useful in pointing away
from NG, as was reported ulcer. Gynecologic exam, specifically endocervical discharge, was
helpful in the diagnosis of NG. Interestingly, wet mount results were predictive NG (BV+,
VCA-), suggesting that these inexpensive and simple tests should be included in any workup
of symptomatic women. Despite extensive laboratory testing, we failed to find an etiology for a
substantial proportion of women seeking care. This may reflect poor sensitivity of microscopy
as well as non-infectious causes of symptoms. As has been noted elsewhere, factors associated
with NG were more useful in predicting infections than those for CT [46, 47].
For both men and women, younger age was predictive of both NG and CT and lower edu-
cation level and jobless or part-time employment status were predictive of NG. Interestingly,
number of partners was not independently associated with CT or NG. Most men and women
reported never using condoms and very few reported always using condoms. Women who
sometimes used condoms were at higher risk of NG than those who never used them. This
may be due to increased condom use in women with higher risk partners.
Genital ulcers were not a common presenting symptom and were not associated with RPR
results among HIV+ patients. RPR provided a diagnosis for 20% of ulcers among HIV- men
and 15% among HIV- women. As others in Africa have reported, HSV is the most likely diag-
nosis for RPR- ulcers which was more common among HIV+ patients [48]. Non-circumcision
among men is associated with HIV acquisition and with increased prevalence and incidence of
ulcerative STI [49–52]. We have previously shown a relationship between ulcers, smegma and
HIV acquisition in uncircumcised men [15]. Among HIV- men, those who were uncircum-
cised were not more likely to report ulcers or to be RPR+ than their circumcised counterparts.
PLOS ONE | https://doi.org/10.1371/journal.pone.0250044 April 20, 2021
12 / 21
PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
Table 5. Univariate and multivariate analysis of factors associated with CT or NG infection in women in Kigali, Rwanda (N = 579).
cPOR
95% CI
p-value
aPOR
95% CI
p-value
cPOR
95% CI
p-value
aPOR
95% CI
p-value
CT infection
NG infection
Demographics
Age (per year increase)
0.91
0.88 0.95 <0.0001
0.90
0.86 0.94 <0.0001
0.95
0.92 0.97 < .001
0.93
0.89 0.97 <0.001
Referrer
Radio Advert
ref
ref
Friends/Walk-in/Pharmacy/Contact
1.74
1.11 2.72
0.015
1.31
0.91 1.90
0.150
Partner/Internet
Living and Marital Status
Married and Cohabiting
Other
Education Level
None/Primary
Secondary/Higher
Employment Status
Full-time employment
Part-time/Student/Jobless
Sexual behaviors
Number of partners in last 30 days
None or one partner
More than one partner
Condom use during vaginal sex in the last
3 months
No partners or always used condoms
Sometimes
Never
Number of days since sexual contact you
suspect STI was acquired from
0–8
9–16
> = 17
Number of children under 18 (per child
increase)
Number of additional children desired
(per child increase)
Family planning method and pregnancy
composite
Pregnant
Hormonal method (implant, injectable,
pills)
Non-Hormonal (IUD/Condom/Tubal
Ligation/Natural Method) or No Method
Self-reported symptoms
Vaginal discharge
Yes
No
Genital itching
Yes
No
Dysuria
ref
ref
1.78
1.13 2.80
0.012
1.46
1.00 2.13
0.048
ref
1.30
0.83 2.01
0.248
ref
2.09
1.44 3.04
0.000
2.13
1.30 3.48
0.003
ref
ref
ref
ref
1.23
0.77 1.96
0.383
1.76
1.16 2.66
0.008
1.95
1.12 3.39
0.019
ref
ref
1.56
0.89 2.75
0.119
3.53
2.19 5.69 <0.0001
0.46 2.97
0.92 2.42
0.741
0.107
0.53 2.69
1.1
3.49
0.666
0.022
1.17
1.49
ref
1.20
1.96
ref
0.15
1.5
0.207
1.81 4.18 <0.0001
0.22 2.41
1.07 2.98
0.611
0.025
0.74
1.79
ref
0.87 3.16
1.36 3.87
0.126
0.002
0.48
2.75
ref
1.66
2.29
ref
0.82
0.69 0.99
0.037
0.96
0.84 1.10
0.594
1.22
1.02 1.45
0.027
0.92
0.79 1.07
0.274
0.96
0.95
0.43 2.14
0.56 1.59
0.915
0.837
1.00
2.01
0.49 2.03
1.32 3.05
0.999
0.001
1.30
1.73
0.57 2.99
1.02 2.94
0.532
0.040
ref
ref
ref
ref
1.26
0.73 2.18
0.408
1.10
0.68 1.78
0.692
ref
ref
ref
ref
1.08
0.69 1.68
0.738
2.62
1.79 3.84 <0.0001
2.54
1.55 4.17
0.0002
PLOS ONE | https://doi.org/10.1371/journal.pone.0250044 April 20, 2021
(Continued )
13 / 21
PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
Table 5. (Continued)
Yes
No
Genital ulcer
Yes
No
Number of days with symptoms
1–10
11 or more
Laboratory and physical exam
HIV Status
Positive
Negative
RPR Result
Positive
Negative
Trichomonas
Positive
Negative
Candida
Positive
Negative
Bacterial vaginosis
Positive
Negative
Vaginal Inflammation OR Discharge
Yes
No
Endocervical Inflammation or Discharge
Yes
No
Genital Ulcer
Yes
No
cPOR
95% CI
p-value
aPOR
95% CI
p-value
cPOR
95% CI
p-value
aPOR
95% CI
p-value
CT infection
NG infection
ref
1.06
0.68 1.64
0.796
ref
1.21
0.84 1.75
0.303
ref
ref
ref
1.30
0.62 2.73
0.489
2.33
1.12 4.84
0.024
2.52
1.09 5.80
0.030
1.72
1.06 2.78
0.027
1.76
1.07 2.88
0.026
1.76
1.16 2.68
0.008
1.78
1.05 3.00
0.032
ref
ref
ref
ref
ref
2.73
1.66 4.47 <0.0001
2.05
1.10 3.83
0.024
1.83
0.85 3.96
0.124
ref
ref
1.37
0.66 2.88
0.401
2.58
1.41
4.7
0.002
ref
1.85
1.03 3.32
0.041
ref
ref
ref
ref
1.06
0.60 1.88
0.838
ref
ref
1.98
1.04 3.77
0.038
3.56
1.89 6.69 <0.0001
2.20
1.11 4.36
0.024
1.63
0.98 2.72
0.063
2.63
1.67 4.15 <0.0001
1.89
1.07 3.34
0.028
ref
ref
ref
ref
ref
1.47
0.79 2.75
0.2201
1.67
0.97 2.86
0.063
1.83
1.15 2.91
0.010
2.17
1.46 3.23
0.000
1.80
1.11 2.93
0.018
ref
1.19
0.56 2.56
0.649
ref
ref
ref
ref
1.06
0.53 2.10
0.875
IUD: intrauterine device; aPOR: Adjusted prevalence odds ratio; cPOR: Crude prevalence odds ratio; RPR: Rapid plasma reagin; CI: Confidence interval; STI: Sexually
transmitted disease; NG: Neisseria gonorrhoeae, CT: Chlamydia trachomatis
https://doi.org/10.1371/journal.pone.0250044.t005
In contrast, among HIV+ men, those who were uncircumcised were more likely to have an
ulcer and less likely to be RPR+ than circumcised men. Circumcision is widely promoted in
Rwanda and available at no cost in most government health centers as part of HIV prevention
services. Though the focus is on protecting HIV- men, our results here suggest that circumci-
sion can benefit HIV+ men by reducing ulcer incidence [53].
It is likely that we missed other less common ulcer etiologies including HD, lymphogranu-
loma venereum (LGV), and granuloma inguinale (Klebsiella granulomatis) [54]. Our clinicians
did suspect chancroid in a few cases, but the service program did not record detailed descrip-
tions or photographs of ulcers and we lacked laboratory diagnostics. The most recent
PLOS ONE | https://doi.org/10.1371/journal.pone.0250044 April 20, 2021
14 / 21
PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
publication presenting confirmed chancroid diagnoses in Rwanda was based on data collected
in 1992, which found 27% of ulcers in men and 20% in women had culture-confirmed HD
[55–59]. For many years the prevalence of HD had been decreasing in much of Africa [48, 54],
but recent publications indicate HD may be staging a comeback [21]. More investigations are
needed in Rwanda.
Physical exam findings made important contributions in our program. Examination of
male genitalia does not require specialized equipment, but speculum exam requires a skilled cli-
nician, a gynecologic exam table and light which are in limited supply in low resource settings.
While genital exams would not be feasible for all symptomatic patients, targeted genital exams
in specific circumstances would be feasible and potentially very useful. Distinguishing between
vaginal and endocervical discharges would greatly improve diagnostic accuracy and bi-manual
exam would identify pelvic inflammatory disease. Similarly, in our setting where less than one
in five ulcer patients are RPR+, assessing ulcer characteristics may be worthwhile. Visual exam
has traditionally been viewed as unreliable as many ulcers do not have a paradigmatic presenta-
tion (e.g. painless ‘clean’ TP ulcer, painful ‘dirty’ HD with inguinal adenopathy, multiple
chronic or recurrent shallow vesicular HSV lesions). However, a recent study in Jamaica com-
pared clinical diagnosis with M-PCR and found visual diagnoses of TP, HSV, and HD were
67.7%, 53.8%, and 75% sensitive and 91.2%, 83.6%, and 75.4% specific, respectively [60].
The advent of point-of-care diagnostics for NG and CT has transformed STI diagnosis, but
given relatively expensive equipment and reagents, this remains out of reach in many low
resource settings. We have used pooling to reduce the per-patient cost in Zambia and this
could be explored in other settings [61]. GeneXpert kits are also available for TV and they are
more sensitive than microscopy. The US CDC has in-house multiplex PCR (M-PCR) for ulcer
etiologies including syphilis, HSV and chancroid. A focused study would provide prevalence
information that could inform the next update of national guidelines.
Our program has several limitations. Social desirability bias may have led to under-report-
ing of risky sexual behaviors. We focused on symptomatic men and women and thus missed
the many people who are asymptomatically infected [62, 63]. We did not screen for active viral
hepatitis as recent unpublished surveys have shown a low prevalence of both hepatitis B and C
(4% and 3%, respectively reported nationally, 4% and 5% among female sex workers tested in
our laboratory). We did not have funding or resources to perform any direct method of detec-
tion for TP using ulcer material, and thus may have misclassified some recently infected people
who were negative by RPR test. While we did treat TV in male partners referred by TV
+ women, we did not systematically test for TV in men. Microscopy for TV detection in men
is extremely insensitive, and we did not have resources to conduct GeneXpert testing for TV.
TV could therefore be the reason for a portion of the symptomatic men with unknown etiol-
ogy. We did not include HSV serologies because adult seroprevalence is high [64]. Assessment
of cervical intraepithelial neoplasia requires more resources than would be achievable on a
large scale in Rwandan health centers so we did not address this important problem. Fortu-
nately, 93% of Rwandan girls now receive the human papillomavirus vaccine and future gener-
ations will be protected [65]. Lastly, we and others have published an association between
female genital schistosomiasis and HIV [66, 67], but this is most commonly seen with S.Hae-
matobium while only S.Mansoni is endemic in Rwanda, thus we did not screen for genital
schistosomiasis [68].
Conclusions
Syndromic management guidelines in Rwanda can be improved with consideration of the
prevalence of confirmed infections from this program offering services to symptomatic men
PLOS ONE | https://doi.org/10.1371/journal.pone.0250044 April 20, 2021
15 / 21
PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
and women representative of those who would seek care at government health centers. Our
findings indicate that syndromic management performs better among men but is poor among
women. Inclusion of demographic and risk factor measures shown to be predictive of STI and
non-STI dysbioses may also increase diagnostic accuracy. In symptomatic women, wet mount
results for BV and VCA may help diagnose NG and are inexpensive and could be offered for
management of women. Targeted genital exams for women in specific circumstances (e.g., in
women without genital itching) may also be useful to diagnose NG. More data is needed on
how often local prevalence and epidemiology should be reassessed to maintain improved syn-
dromic management.
Supporting information
S1 Fig. STI baseline clinical form.
(DOCX)
Author Contributions
Conceptualization: Julien Nyombayire, Rosine Ingabire, Susan Allen, Etienne Karita.
Data curation: Kristin M. Wall, Julien Nyombayire, Rachel Parker, Susan Allen.
Formal analysis: Kristin M. Wall, Rachel Parker.
Funding acquisition: Susan Allen.
Investigation: Julien Nyombayire, Rosine Ingabire, Jean Bizimana, Jeannine Mukamuyango,
Amelia Mazzei, Matt A. Price, Marie Aimee Unyuzimana, Susan Allen, Etienne Karita.
Methodology: Kristin M. Wall, Jean Bizimana, Matt A. Price, Marie Aimee Unyuzimana,
Amanda Tichacek, Susan Allen, Etienne Karita.
Project administration: Julien Nyombayire, Rosine Ingabire, Jean Bizimana, Jeannine Muka-
muyango, Amelia Mazzei, Amanda Tichacek, Susan Allen, Etienne Karita.
Resources: Susan Allen, Etienne Karita.
Supervision: Julien Nyombayire, Rosine Ingabire, Jean Bizimana, Jeannine Mukamuyango,
Amelia Mazzei, Marie Aimee Unyuzimana, Amanda Tichacek, Susan Allen, Etienne Karita.
Validation: Julien Nyombayire, Rachel Parker, Rosine Ingabire, Jeannine Mukamuyango,
Amelia Mazzei, Matt A. Price, Marie Aimee Unyuzimana, Amanda Tichacek, Susan Allen.
Writing – original draft: Kristin M. Wall, Susan Allen.
Writing – review & editing: Julien Nyombayire, Rachel Parker, Rosine Ingabire, Jean Bizi-
mana, Jeannine Mukamuyango, Amelia Mazzei, Matt A. Price, Marie Aimee Unyuzimana,
Amanda Tichacek, Susan Allen, Etienne Karita.
References
1. World_Health_Organization. Sexually transmitted infections (STIs) Geneva: WHO; 2019 [updated 14
June 2019]. Available from: https://www.who.int/news-room/fact-sheets/detail/sexually-transmitted-
infections-(stis).
2. World_Health_Organization. Sexually Transmiited Infections Geneva: World_Health_Organization;
2019 [updated July 2019; cited 2020 Jan 30]. Available from: https://www.who.int/news-room/fact-
sheets/detail/sexually-transmitted-infections-(stis).
PLOS ONE | https://doi.org/10.1371/journal.pone.0250044 April 20, 2021
16 / 21
PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
3. World_Health_Organization. Global health sector strategy on Sexually Transmitted Infections, 2016–
2021: WHO; 2016 [updated July 2016]. Available from: http://www.who.int/reproductivehealth/
publications/rtis/ghss-stis/en/.
4. Carlson JM, Schaefer M, Monaco DC, Batorsky R, Claiborne DT, Prince J, et al. HIV transmission.
Selection bias at the heterosexual HIV-1 transmission bottleneck. Science (New York, NY). 2014; 345
(6193):1254031. Epub 2014/07/12. https://doi.org/10.1126/science.1254031 PMID: 25013080;
PubMed Central PMCID: PMC4289910.
5. Mujugira A, Magaret AS, Baeten JM, Celum C, Lingappa J. Risk Factors for HSV-2 Infection among
Sexual Partners of HSV-2/HIV-1 Co-Infected Persons. BMC Res Notes. 2011; 4:64. Epub 2011/03/17.
https://doi.org/10.1186/1756-0500-4-64 PMID: 21406077; PubMed Central PMCID: PMC3064615.
6. Haaland RE, Hawkins PA, Salazar-Gonzalez J, Johnson A, Tichacek A, Karita E, et al. Inflammatory
genital infections mitigate a severe genetic bottleneck in heterosexual transmission of subtype A and C
HIV-1. PLoS pathogens. 2009; 5(1):e1000274. Epub 2009/01/24. https://doi.org/10.1371/journal.ppat.
1000274 PMID: 19165325; PubMed Central PMCID: PMC2621345.
7. Auvert B, Buve A, Ferry B, Carael M, Morison L, Lagarde E, et al. Ecological and individual level analy-
sis of risk factors for HIV infection in four urban populations in sub-Saharan Africa with different levels of
HIV infection. AIDS. 2001; 15 Suppl 4:S15–30. Epub 2001/11/01. https://doi.org/10.1097/00002030-
200108004-00003 PMID: 11686462.
8. Piot P. AIDS: the impact of other sexually transmitted diseases. Netw Res Triangle Park N C. 1988; 9
(2):4. Epub 1988/01/01. PMID: 12280952.
9. Dhana A, Luchters S, Moore L, Lafort Y, Roy A, Scorgie F, et al. Systematic review of facility-based sex-
ual and reproductive health services for female sex workers in Africa. Global Health. 2014; 10:46. Epub
2014/06/12. https://doi.org/10.1186/1744-8603-10-46 PMID: 24916010; PubMed Central PMCID:
PMC4070634.
10. Vandenhoudt HM, Langat L, Menten J, Odongo F, Oswago S, Luttah G, et al. Prevalence of HIV and
other sexually transmitted infections among female sex workers in Kisumu, Western Kenya, 1997 and
2008. PLoS One. 2013; 8(1):e54953. Epub 2013/02/02. https://doi.org/10.1371/journal.pone.0054953
PMID: 23372801; PubMed Central PMCID: PMC3553007.
11. Vickerman P, Ndowa F, O’Farrell N, Steen R, Alary M, Delany-Moretlwe S. Using mathematical model-
ling to estimate the impact of periodic presumptive treatment on the transmission of sexually transmitted
infections and HIV among female sex workers. Sex Transm Infect. 2010; 86(3):163–8. Epub 2009/10/
27. https://doi.org/10.1136/sti.2008.034678 PMID: 19854700.
12. Seck K, Samb N, Tempesta S, Mulanga-Kabeya C, Henzel D, Sow PS, et al. Prevalence and risk fac-
tors of cervicovaginal HIV shedding among HIV-1 and HIV-2 infected women in Dakar, Senegal. Sex
Transm Infect. 2001; 77(3):190–3. Epub 2001/06/13. https://doi.org/10.1136/sti.77.3.190 PMID:
11402227; PubMed Central PMCID: PMC1744303.
13. Celum C, Wald A, Lingappa JR, Magaret AS, Wang RS, Mugo N, et al. Acyclovir and transmission of
HIV-1 from persons infected with HIV-1 and HSV-2. The New England journal of medicine. 2010; 362
(5):427–39. Epub 2010/01/22. https://doi.org/10.1056/NEJMoa0904849 PMID: 20089951; PubMed
Central PMCID: PMC2838503.
14. Daniels B, Wand H, Ramjee G, Team MDP. Prevalence of Herpes Simplex Virus 2 (HSV-2) infection
and associated risk factors in a cohort of HIV negative women in Durban, South Africa. BMC Res
Notes. 2016; 9(1):510. Epub 2016/12/14. https://doi.org/10.1186/s13104-016-2319-5 PMID: 27955706;
PubMed Central PMCID: PMC5154041.
15. Wall KM, Kilembe W, Vwalika B, Haddad LB, Hunter E, Lakhi S, et al. Risk of heterosexual HIV trans-
mission attributable to sexually transmitted infections and non-specific genital inflammation in Zambian
discordant couples, 1994–2012. Int J Epidemiol. 2017; 46(5):1593–606. Epub 2017/04/13. https://doi.
org/10.1093/ije/dyx045 PMID: 28402442; PubMed Central PMCID: PMC5837621.
16.
Joseph Davey DL, Wall KM, Kilembe W, Naw HK, Brill I, Vwalika B, et al. HIV Incidence and Predictors
of HIV Acquisition From an Outside Partner in Serodiscordant Couples in Lusaka, Zambia. J Acquir
Immune Defic Syndr. 2017; 76(2):123–31. Epub 2017/07/25. https://doi.org/10.1097/QAI.
0000000000001494 PMID: 28737591; PubMed Central PMCID: PMC5597474.
17. Boeras DI, Hraber PT, Hurlston M, Evans-Strickfaden T, Bhattacharya T, Giorgi EE, et al. Role of donor
genital tract HIV-1 diversity in the transmission bottleneck. Proceedings of the National Academy of Sci-
ences of the United States of America. 2011; 108(46):E1156–63. Epub 2011/11/09. https://doi.org/10.
1073/pnas.1103764108 PMID: 22065783; PubMed Central PMCID: PMC3219102.
18.
Looker KJ, Welton NJ, Sabin KM, Dalal S, Vickerman P, Turner KME, et al. Global and regional esti-
mates of the contribution of herpes simplex virus type 2 infection to HIV incidence: a population attribut-
able fraction analysis using published epidemiological data. Lancet Infect Dis. 2020; 20(2):240–9. Epub
2019/11/23. https://doi.org/10.1016/S1473-3099(19)30470-0 PMID: 31753763; PubMed Central
PMCID: PMC6990396.
PLOS ONE | https://doi.org/10.1371/journal.pone.0250044 April 20, 2021
17 / 21
PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
19. Rietmeijer CA, Mungati M, Kilmarx PH, Barr BT, Gonese E, Kularatne RS, et al. Serological Markers for
Syphilis Among Persons Presenting With Syndromes Associated With Sexually Transmitted Infections:
Results From the Zimbabwe STI Etiology Study. Sex Transm Dis. 2019; 46(9):579–83. Epub 2019/04/
23. https://doi.org/10.1097/OLQ.0000000000001006 PMID: 31008842; PubMed Central PMCID:
PMC6885999.
20. Hayes RJ, Schulz KF, Plummer FA. The cofactor effect of genital ulcers on the per-exposure risk of HIV
transmission in sub-Saharan Africa. J Trop Med Hyg. 1995; 98(1):1–8. Epub 1995/02/01. PMID:
7861474.
21. Phiri S, Zadrozny S, Weiss HA, Martinson F, Nyirenda N, Chen CY, et al. Etiology of genital ulcer dis-
ease and association with HIV infection in Malawi. Sex Transm Dis. 2013; 40(12):923–8. Epub 2013/
11/14. https://doi.org/10.1097/OLQ.0000000000000051 PMID: 24220352.
22.
Takuva S, Mugurungi O, Mutsvangwa J, Machiha A, Mupambo AC, Maseko V, et al. Etiology and anti-
microbial susceptibility of pathogens responsible for urethral discharge among men in Harare, Zimba-
bwe. Sex Transm Dis. 2014; 41(12):713–7. Epub 2015/01/13. https://doi.org/10.1097/OLQ.
0000000000000204 PMID: 25581806.
23. Sylverken AA, Owusu-Dabo E, Yar DD, Salifu SP, Awua-Boateng NY, Amuasi JH, et al. Bacterial etiol-
ogy of sexually transmitted infections at a STI clinic in Ghana; use of multiplex real time PCR. Ghana
Med J. 2016; 50(3):142–8. Epub 2016/10/19. PMID: 27752188; PubMed Central PMCID:
PMC5044789.
24. Chirenje ZM, Dhibi N, Handsfield HH, Gonese E, Tippett Barr B, Gwanzura L, et al. The Etiology of Vag-
inal Discharge Syndrome in Zimbabwe: Results from the Zimbabwe STI Etiology Study. Sex Transm
Dis. 2018; 45(6):422–8. Epub 2018/02/22. https://doi.org/10.1097/OLQ.0000000000000771 PMID:
29465674; PubMed Central PMCID: PMC6879447.
25. Haddad LB, Wall KM, Kilembe W, Vwalika B, Khu NH, Brill I, et al. Bacterial vaginosis modifies the asso-
ciation between hormonal contraception and HIV acquisition. AIDS. 2018; 32(5):595–604. Epub 2018/
01/16. https://doi.org/10.1097/QAD.0000000000001741 PMID: 29334545; PubMed Central PMCID:
PMC5832628.
26. Barnabas SL, Dabee S, Passmore JS, Jaspan HB, Lewis DA, Jaumdally SZ, et al. Converging epidem-
ics of sexually transmitted infections and bacterial vaginosis in southern African female adolescents at
risk of HIV. Int J STD AIDS. 2018; 29(6):531–9. Epub 2017/12/05. https://doi.org/10.1177/
0956462417740487 PMID: 29198180.
27. Masha SC, Cools P, Descheemaeker P, Reynders M, Sanders EJ, Vaneechoutte M. Urogenital patho-
gens, associated with Trichomonas vaginalis, among pregnant women in Kilifi, Kenya: a nested case-
control study. BMC Infect Dis. 2018; 18(1):549. Epub 2018/11/08. https://doi.org/10.1186/s12879-018-
3455-4 PMID: 30400890; PubMed Central PMCID: PMC6219184.
28. Kerubo E, Laserson KF, Otecko N, Odhiambo C, Mason L, Nyothach E, et al. Prevalence of reproduc-
tive tract infections and the predictive value of girls’ symptom-based reporting: findings from a cross-
sectional survey in rural western Kenya. Sex Transm Infect. 2016; 92(4):251–6. Epub 2016/01/29.
https://doi.org/10.1136/sextrans-2015-052371 PMID: 26819339; PubMed Central PMCID:
PMC4893088.
29.
Lewis DA, Marsh K, Radebe F, Maseko V, Hughes G. Trends and associations of Trichomonas vagina-
lis infection in men and women with genital discharge syndromes in Johannesburg, South Africa. Sex
Transm Infect. 2013; 89(6):523–7. Epub 2013/04/23. https://doi.org/10.1136/sextrans-2013-051049
PMID: 23605850.
30. Morikawa E, Mudau M, Olivier D, de Vos L, Joseph Davey D, Price C, et al. Acceptability and Feasibility
of Integrating Point-of-Care Diagnostic Testing of Sexually Transmitted Infections into a South African
Antenatal Care Program for HIV-Infected Pregnant Women. Infect Dis Obstet Gynecol. 2018;
2018:3946862. Epub 2018/06/05. https://doi.org/10.1155/2018/3946862 PMID: 29861622; PubMed
Central PMCID: PMC5971359.
31. Garrett NJ, Osman F, Maharaj B, Naicker N, Gibbs A, Norman E, et al. Beyond syndromic manage-
ment: Opportunities for diagnosis-based treatment of sexually transmitted infections in low- and middle-
income countries. PLoS One. 2018; 13(4):e0196209. https://doi.org/10.1371/journal.pone.0196209
PMID: 29689080; PubMed Central PMCID: PMC5918163.
32.
Francis SC, Ao TT, Vanobberghen FM, Chilongani J, Hashim R, Andreasen A, et al. Epidemiology of
curable sexually transmitted infections among women at increased risk for HIV in northwestern Tanza-
nia: inadequacy of syndromic management. PLoS One. 2014; 9(7):e101221. Epub 2014/07/16. https://
doi.org/10.1371/journal.pone.0101221 PMID: 25025338; PubMed Central PMCID: PMC4099080.
33. Guimaraes H, Castro R, Tavora Tavira L, da LEF. Assessing therapeutic management of vaginal and
urethral symptoms in an anonymous HIV testing centre in Luanda, Angola. J Infect Dev Ctries. 2013; 7
(10):720–5. Epub 2013/10/17. https://doi.org/10.3855/jidc.2752 PMID: 24129624.
PLOS ONE | https://doi.org/10.1371/journal.pone.0250044 April 20, 2021
18 / 21
PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
34. Marx G, John-Stewart G, Bosire R, Wamalwa D, Otieno P, Farquhar C. Diagnosis of sexually transmit-
ted infections and bacterial vaginosis among HIV-1-infected pregnant women in Nairobi. Int J STD
AIDS. 2010; 21(8):549–52. Epub 2010/10/27. https://doi.org/10.1258/ijsa.2010.010005 PMID:
20975086; PubMed Central PMCID: PMC3050991.
35. Black V, Magooa P, Radebe F, Myers M, Pillay C, Lewis DA. The detection of urethritis pathogens
among patients with the male urethritis syndrome, genital ulcer syndrome and HIV voluntary counselling
and testing clients: should South Africa’s syndromic management approach be revised? Sex Transm
Infect. 2008; 84(4):254–8. Epub 2008/01/15. https://doi.org/10.1136/sti.2007.028464 PMID: 18192290.
36.
37.
38.
Frohlich JA, Abdool Karim Q, Mashego MM, Sturm AW, Abdool Karim SS. Opportunities for treating
sexually transmitted infections and reducing HIV risk in rural South Africa. J Adv Nurs. 2007; 60(4):377–
83. Epub 2007/09/08. https://doi.org/10.1111/j.1365-2648.2007.04405.x PMID: 17822425.
Tann CJ, Mpairwe H, Morison L, Nassimu K, Hughes P, Omara M, et al. Lack of effectiveness of syn-
dromic management in targeting vaginal infections in pregnancy in Entebbe, Uganda. Sex Transm
Infect. 2006; 82(4):285–9. Epub 2006/08/01. https://doi.org/10.1136/sti.2005.014845 PMID: 16877576;
PubMed Central PMCID: PMC2564710.
Ingabire R, Parker R, Nyombayire J, Ko JE, Mukamuyango J, Bizimana J, et al. Female sex workers in
Kigali, Rwanda: a key population at risk of HIV, sexually transmitted infections, and unplanned preg-
nancy. Int J STD AIDS. 2019; 30(6):557–68. Epub 2019/02/08. https://doi.org/10.1177/
0956462418817050 PMID: 30727831; PubMed Central PMCID: PMC6512058.
39. RWANDA POPULATION-BASED HIV IMPACT ASSESSMENT RPHIA 2018–2019 2019 [cited 2020
Nov 20]. Available from: https://phia.icap.columbia.edu/wp-content/uploads/2019/10/RPHIA-Summary-
Sheet_Oct-2019.pdf.
40. Conkling M, Shutes EL, Karita E, Chomba E, Tichacek A, Sinkala M, et al. Couples’ voluntary counsel-
ling and testing and nevirapine use in antenatal clinics in two African capitals: a prospective cohort
study. Journal of the International AIDS Society. 2010; 13:10. Epub 2010/03/17. https://doi.org/10.
1186/1758-2652-13-10 PMID: 20230628; PubMed Central PMCID: PMC2851580.
41. Karita E, Nsanzimana S, Ndagije F, Wall KM, Mukamuyango J, Mugwaneza P, et al. Implementation
and Operational Research: Evolution of Couples’ Voluntary Counseling and Testing for HIV in Rwanda:
From Research to Public Health Practice. J Acquir Immune Defic Syndr. 2016; 73(3):e51–e8. Epub
2016/10/16. https://doi.org/10.1097/QAI.0000000000001138 PMID: 27741033; PubMed Central
PMCID: PMC5367509.
42. Mazzei A, Ingabire R, Mukamuyango J, Nyombayire J, Sinabamenye R, Bayingana R, et al. Community
health worker promotions increase uptake of long-acting reversible contraception in Rwanda. Reprod
Health. 2019; 16(1):75. Epub 2019/06/06. https://doi.org/10.1186/s12978-019-0739-0 PMID:
31164155; PubMed Central PMCID: PMC6549304.
43.
Ingabire R, Nyombayire J, Hoagland A, Da Costa V, Mazzei A, Haddad L, et al. Evaluation of a multi-
level intervention to improve postpartum intrauterine device services in Rwanda. Gates Open Res.
2018; 2(38):38. Epub 2019/09/25. https://doi.org/10.12688/gatesopenres.12854.3 PMID: 30569036;
PubMed Central PMCID: PMC6266741.3.
44. Rietmeijer CA, Mungati M, Machiha A, Mugurungi O, Kupara V, Rodgers L, et al. The Etiology of Male
Urethral Discharge in Zimbabwe: Results from the Zimbabwe STI Etiology Study. Sex Transm Dis.
2018; 45(1):56–60. Epub 2017/12/15. https://doi.org/10.1097/OLQ.0000000000000696 PMID:
29240635.
45. Gonorrhea—CDC Fact Sheet (Detailed Version): U.S. Centers for Disease Control; 2020 [cited 2020 6/
29/2020]. Available from: https://www.cdc.gov/std/gonorrhea/stdfact-gonorrhea-detailed.htm.
46. Dela H, Attram N, Behene E, Kumordjie S, Addo KK, Nyarko EO, et al. Risk factors associated with gon-
orrhea and chlamydia transmission in selected health facilities in Ghana. BMC Infect Dis. 2019; 19
(1):425. Epub 2019/05/18. https://doi.org/10.1186/s12879-019-4035-y PMID: 31096920; PubMed Cen-
tral PMCID: PMC6524331.
47. Connolly S, Wall KM, Parker R, Kilembe W, Inambao M, Visoiu AM, et al. Sociodemographic factors
and STIs associated with Chlamydia trachomatis and Neisseria gonorrhoeae infections in Zambian
female sex workers and single mothers. Int J STD AIDS. 2020; 31(4):364–74. Epub 2020/03/05. https://
doi.org/10.1177/0956462419894453 PMID: 32126947.
48. Mungati M, Machiha A, Mugurungi O, Tshimanga M, Kilmarx PH, Nyakura J, et al. The Etiology of Geni-
tal Ulcer Disease and Coinfections With Chlamydia trachomatis and Neisseria gonorrhoeae in Zimba-
bwe: Results From the Zimbabwe STI Etiology Study. Sex Transm Dis. 2018; 45(1):61–8. Epub 2017/
12/15. https://doi.org/10.1097/OLQ.0000000000000694 PMID: 29240636; PubMed Central PMCID:
PMC5994235.
49. MacNeily AE. Editorial comment. J Urol. 2011; 185(6):2306–7. Epub 2011/04/23. https://doi.org/10.
1016/j.juro.2011.02.2702 PMID: 21511302.
PLOS ONE | https://doi.org/10.1371/journal.pone.0250044 April 20, 2021
19 / 21
PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
50. Weiss HA, Thomas SL, Munabi SK, Hayes RJ. Male circumcision and risk of syphilis, chancroid, and
genital herpes: a systematic review and meta-analysis. Sex Transm Infect. 2006; 82(2):101–9; discus-
sion 10. Epub 2006/04/04. https://doi.org/10.1136/sti.2005.017442 PMID: 16581731; PubMed Central
PMCID: PMC2653870.
51. Morris BJ, Hankins CA. Effect of male circumcision on risk of sexually transmitted infections and cervi-
cal cancer in women. Lancet Glob Health. 2017; 5(11):e1054–e5. Epub 2017/10/14. https://doi.org/10.
1016/S2214-109X(17)30386-8 PMID: 29025620.
52. Davis S, Toledo C, Lewis L, Maughan-Brown B, Ayalew K, Kharsany ABM. Does voluntary medical
male circumcision protect against sexually transmitted infections among men and women in real-world
scale-up settings? Findings of a household survey in KwaZulu-Natal, South Africa. BMJ Glob Health.
2019; 4(3):e001389. Epub 2019/07/03. https://doi.org/10.1136/bmjgh-2019-001389 PMID: 31263584;
PubMed Central PMCID: PMC6570991.
53. Mehta SD, Moses S, Parker CB, Agot K, Maclean I, Bailey RC. Circumcision status and incident herpes
simplex virus type 2 infection, genital ulcer disease, and HIV infection. AIDS. 2012; 26(9):1141–9. Epub
2012/03/03. https://doi.org/10.1097/QAD.0b013e328352d116 PMID: 22382150; PubMed Central
PMCID: PMC3668787.
54. Kularatne RS, Muller EE, Maseko DV, Kufa-Chakezha T, Lewis DA. Trends in the relative prevalence of
genital ulcer disease pathogens and association with HIV infection in Johannesburg, South Africa,
2007–2015. PLoS One. 2018; 13(4):e0194125. Epub 2018/04/05. https://doi.org/10.1371/journal.pone.
0194125 PMID: 29617372; PubMed Central PMCID: PMC5884493.
55. Bogaerts J, Kestens L, van Dyck E, Tello WM, Akingeneye J, Mukantabana V. Genital ulcers in a pri-
mary health clinic in Rwanda: impact of HIV infection on diagnosis and ulcer healing (1986–1992). Int J
STD AIDS. 1998; 9(11):706–10. Epub 1998/12/24. https://doi.org/10.1258/0956462981921242 PMID:
9863586.
56. Bogaerts J, Vuylsteke B, Martinez Tello W, Mukantabana V, Akingeneye J, Laga M, et al. Simple algo-
rithms for the management of genital ulcers: evaluation in a primary health care centre in Kigali,
Rwanda. Bull World Health Organ. 1995; 73(6):761–7. Epub 1995/01/01. PMID: 8907769; PubMed
Central PMCID: PMC2486690.
57. Van Dyck E, Bogaerts J, Smet H, Tello WM, Mukantabana V, Piot P. Emergence of Haemophilus
ducreyi resistance to trimethoprim-sulfamethoxazole in Rwanda. Antimicrob Agents Chemother. 1994;
38(7):1647–8. Epub 1994/07/01. https://doi.org/10.1128/aac.38.7.1647 PMID: 7979300; PubMed Cen-
tral PMCID: PMC284607.
58. Roggen EL, Hoofd G, Van Dyck E, Piot P. Enzyme immunoassays (EIAs) for the detection of anti-Hae-
mophilus ducreyi serum IgA, IgG, and IgM antibodies. Sex Transm Dis. 1994; 21(1):36–42. Epub 1994/
01/01. https://doi.org/10.1097/00007435-199401000-00008 PMID: 8140487.
59. Bogaerts J, Ricart CA, Van Dyck E, Piot P. The etiology of genital ulceration in Rwanda. Sex Transm
Dis. 1989; 16(3):123–6. Epub 1989/07/01. https://doi.org/10.1097/00007435-198907000-00001 PMID:
2510325.
60. Behets FM, Brathwaite AR, Hylton-Kong T, Chen CY, Hoffman I, Weiss JB, et al. Genital ulcers: setiol-
ogy, clinical diagnosis, and associated human immunodeficiency virus infection in Kingston, Jamaica.
Clin Infect Dis. 1999; 28(5):1086–90. Epub 1999/08/19. https://doi.org/10.1086/514751 PMID:
10452639.
61. Connolly S, Kilembe W, Inambao M, Visoiu AM, Sharkey T, Parker R, et al. A population-specific opti-
mized GeneXpert pooling algorithm for Chlamydia trachomatis and Neisseria gonorrhoeae to reduce
cost of molecular STI screening in resource-limited settings. J Clin Microbiol. 2020. Epub 2020/06/12.
https://doi.org/10.1128/JCM.00176-20 PMID: 32522828.
62.
Johnson LF, Dorrington RE, Bradshaw D, Coetzee DJ. The effect of syndromic management interven-
tions on the prevalence of sexually transmitted infections in South Africa. Sex Reprod Healthc. 2011; 2
(1):13–20. Epub 2010/12/15. https://doi.org/10.1016/j.srhc.2010.08.006 PMID: 21147454.
63. Garrett N, Mitchev N, Osman F, Naidoo J, Dorward J, Singh R, et al. Diagnostic accuracy of the Xpert
CT/NG and OSOM Trichomonas Rapid assays for point-of-care STI testing among young women in
South Africa: a cross-sectional study. BMJ Open. 2019; 9(2):e026888. Epub 2019/02/21. https://doi.
org/10.1136/bmjopen-2018-026888 PMID: 30782948; PubMed Central PMCID: PMC6367982.
64.
Lingappa JR, Kahle E, Mugo N, Mujugira A, Magaret A, Baeten J, et al. Characteristics of HIV-1 discor-
dant couples enrolled in a trial of HSV-2 suppression to reduce HIV-1 transmission: the partners study.
PLoS One. 2009; 4(4):e5272. Epub 2009/05/01. https://doi.org/10.1371/journal.pone.0005272 PMID:
19404392; PubMed Central PMCID: PMC2671170.
65. Cousins S. How Rwanda could be the first country to wipe out cervical cancer: Mosaicscience.com;
2019 [updated 7May2019]. Available from: https://mosaicscience.com/story/rwanda-cervical-cancer-
hpv-vaccine-gardasil-cervarix/.
PLOS ONE | https://doi.org/10.1371/journal.pone.0250044 April 20, 2021
20 / 21
PLOS ONEEtiologies of genital abnormalities in Rwandan men and women
66. Wall KM, Kilembe W, Vwalika B, Dinh C, Livingston P, Lee YM, et al. Schistosomiasis is associated with
incident HIV transmission and death in Zambia. PLoS Negl Trop Dis. 2018; 12(12):e0006902. Epub
2018/12/14. https://doi.org/10.1371/journal.pntd.0006902 PMID: 30543654; PubMed Central PMCID:
PMC6292564.
67. Secor WE. The effects of schistosomiasis on HIV/AIDS infection, progression and transmission. Cur-
rent opinion in HIV and AIDS. 2012; 7(3):254–9. Epub 2012/02/14. https://doi.org/10.1097/COH.
0b013e328351b9e3 PMID: 22327410.
68. Rujeni N, Morona D, Ruberanziza E, Mazigo HD. Schistosomiasis and soil-transmitted helminthiasis in
Rwanda: an update on their epidemiology and control. Infect Dis Poverty. 2017; 6(1):8. Epub 2017/03/
02. https://doi.org/10.1186/s40249-016-0212-z PMID: 28245883; PubMed Central PMCID:
PMC5331630.
PLOS ONE | https://doi.org/10.1371/journal.pone.0250044 April 20, 2021
21 / 21
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| null |
10.1126_sciadv.abn5709.pdf
| null | null |
Supplementary Materials for
A cooperative network at the nuclear envelope counteracts LINC-mediated
forces during oogenesis in C. elegans
Chenshu Liu et al.
Corresponding author: Chenshu Liu, chenshu.liu@berkeley.edu; Abby F. Dernburg, afdernburg@berkeley.edu
Sci. Adv. 9, eabn5709 (2023)
DOI: 10.1126/sciadv.abn5709
The PDF file includes:
Figs. S1 to S18
Tables S1 to S7
Legends for movies S1 to S5
Legend for Data S1
References
Other Supplementary Material for this manuscript includes the following:
Movies S1 to S5
Data S1
Fig. S1.
Fig. S1. (Related to Figs. 1 and 3) CRISPR tagging and auxin-inducible degradation of
LMN-1 in C. elegans germline. (A) Multiple sequence alignments of nematode LMN-1 proteins
were generated using Clustal Omega and visualized using Jalview, showing the position of the
degron/V5 insertion in C. elegans LMN-1. (B) Morphology of eggs/embryos laid by
hermaphrodite worms treated ± auxin for 48 hrs (from young adulthood). Images acquired using
DIC. Scale bar, 20 µm.
Fig. S2.
Fig. S2. (Related to Fig. 1) Representative images showing co-staining of DAPI and
nucleoporins NPP-7 (A) or NPP-10 (B). Composite images are maximum-intensity projections.
Meiosis progresses from left to right. Scale bars, 10 µm.
Fig. S3.
Fig. S3. (Related to Fig. 1) Quantifying nuclear collapse. (A) Composite images (maximum-
intensity projections) showing nuclei in late meiotic prophase stained for DAPI (cyan), NPP-7
(red) or SYP-1 (red). Meiosis progresses from top left to bottom right. Scale bars, 10 µm. (B)
Segmentation of chromosome volume based on DAPI fluorescence. Meiosis progresses from top
left to bottom right. Scale bar, 10 µm. (C) Quantification of nuclear radii based on NPP-7 or
SYP-1 staining (with maximum Z projection), nuclear volume based on radius3, nuclear size
based on DAPI volume and integrated DAPI fluorescence intensity per nucleus. Nuclear sizes in
late pachytene were normalized to one. Unpaired two-sample two-sided t-test was used to
calculate p-values. At least 58 nuclei from three animals were analyzed per stage.
Fig. S4.
Fig. S4. (Related to Figs. 1 and 3) LMN-1 depletion causes SPO-11 independent DNA
damage. (A) LMN-1 depletion causes persistent DNA damage marked by RAD-51 foci. Scale
bar, 10 µm. (B) RAD-51 staining in mid-pachytene nuclei from control and hermaphrodites
depleted of SPO-11, LMN-1, LMN-1 and SPO-11 both, or LMN-1 and SPO-11 and SUN-1
simultaneously. Control hermaphrodite has TIR1 but no AID-tagged genes. Animals of indicated
genotypes (all homozygous for Psun-1::TIR1) were exposed to auxin for 24 hours from the L4
stage to young adulthood prior to dissection. Scale bar, 5 µm. (C) Quantification of RAD-51 foci
per nucleus as a function of meiotic progression. Gonads were divided into five zones of equal
length spanning the premeiotic region to early diplotene (as in Fig. S6C). Control, N = 964
nuclei (4 animals); SPO-11 depletion, N = 1480 nuclei (4 animals); LMN-1 depletion, N = 1781
nuclei (6 animals); LMN-1, SPO-11 double depletion, N = 1329 nuclei (5 animals); LMN-1,
SPO-11, SUN-1 triple depletion, N = 844 nuclei (5 animals); SUN-1 depletion, N = 1201 nuclei
(4 animals). Pairwise comparisons for proportions were performed to compute the p-values
(adjusted by the Benjamini-Hochberg method, see Data S1). Experimental conditions were the
same as in (B). (D) Designated crossover sites marked by GFP::COSA-1 foci in late prophase
nuclei. Following LMN-1 depletion, nuclei still showed six designated crossover sites, whereas
GFP::COSA-1 foci were absent from apoptotic nuclei. Animals of indicated genotypes (all
homozygous for Psun-1::TIR1) were exposed to auxin for 24 hours from the L4 stage to young
adulthood prior to dissection. Dashed arrows indicate meiotic progression. Scale bar, 5 µm.
Fig. S5.
Fig. S5. ATG-7 depletion does not rescue nuclear collapse. (A) Raw (non-deconvolved)
maximum-intensity Z-projection showing the cytoplasmic localization of ATG-7 in the germline
and the effectiveness of depletion by 12hr auxin treatment. Gray-scale images were scaled
identically. Scale bar, 10 µm. (B) Nuclear morphology at later stages of meiotic prophase.
Colored dashed lines mark meiotic stages based on the anatomical positions of gonads from
control animals. Scale bar, 10 μm.
Fig. S6.
Fig. S6. (Related to Fig. 2) Chromosome pairing and synapsis occur normally following
LMN-1 depletion. (A) Dynamics of synapsis, based on immunostaining of SYP-1
(synaptonemal complex) and HTP-3 (chromosome axes). Yellow asterisks indicate the distal end
of gonads. Scale bar, 10 µm. (B) Normal pairing of X chromosomes is revealed by
immunofluorescence of HIM-8, which localizes to the X-chromosome pairing centers. Scale bar,
2 µm. (C) Quantification of homolog pairing and synapsis. Diagram of distal gonad divided into
five zones of equal length. Three gonads were measured per condition. Mean ± SD are plotted.
Two-sided two-proportions z-test was used for computing the p-values. ***, p < 0.001; **, p <
0.01; ns, p ≥ 0.05 (see Data S1).
Fig. S7.
Fig. S7. (Related to Fig. 2) Prolonged ZYG-12::GFP clustering following LMN-1 depletion.
(A) Mean intensities of ZYG-12::GFP at the nuclear envelope per nucleus, normalized against
intensity levels at the transition zone. Medians (black crossbars) and means (black boxes) are
shown. Fluorescence intensity surrounding each nucleus was manually segmented and quantified
from additive projection images after background subtraction. 30 nuclei per stage were measured
per condition (without or with auxin). TZ, transition zone; MP, mid-pachytene; LP, late
pachytene; Dip, diplotene. Two-way ANOVA was used to calculate the p-value. (B) Clustering
of ZYG-12::GFP, defined as the relative standard deviation (ratio of the standard deviation to the
mean value) of fluorescence intensity at the NE in each nucleus. Medians (black crossbars) and
means (black boxes) are shown. Fluorescence intensity was measured in the same way as in (A).
30 nuclei per stage were measured per condition. TZ, transition zone; MP, mid-pachytene; LP,
late pachytene; Dip, diplotene. p-value was calculated by two-way ANOVA.
Fig. S8.
Fig. S8. (Related to Figs. 2 and 3) Quantifying LINC complex distribution at the NE. (A)
Quantifying SUN-1 distribution at the NE. Representative line-scan profiles of SUN-1::mRuby
fluorescence intensity at the circumference of individual nuclei. Grayscale images are additive
projections and are scaled using the same look up table (LUT). Scale bar, 5 µm. (B) Quantifying
asymmetric ZYG-12 distribution at the NE. Top panel shows grayscale images of additive
projections with background subtraction showing polarized ZYG-12::GFP distribution at the NE
in a LMN-1 depleted diplotene nucleus. The right panel shows line scan profile along the
circumference of the nucleus and approximate locations of angles mapped subsequently during
data alignment. Scale bar, 5 µm. Bottom panels show data alignment and normalization. Raw
intensity measurement from line-scan was aligned and mapped such that 180° corresponds to the
coordinate along the NE’s circumference with the maximum-intensity, and the intensity at 0°
was normalized to one (red); or in cases where one nucleus has multiple ZYG-12 intensity peaks
on the NE, 180° corresponds to the coordinate along the NE’s circumference with the minimum-
intensity, and the intensity at 180° was normalized to one (green).
Fig. S9.
Fig. S9. (Related to Fig. 3) Co-depletion of DHC-1 or DLI-1, but not DYLT-1, also rescues
nuclear collapse despite marked nuclear mispositioning. Nuclear morphology upon depleting
DHC-1, DLI-1 or DYLT-1 in lmn-1::AID::V5 worms ±auxin treatment. Mitotic defects are seen
in the proliferative region, and meiotic nuclei are mispositioned throughout the gonad following
depletion of DHC-1 or DLI-1. Scale bar, 10 µm.
Fig. S10.
Fig. S10. (Related to Figs. 3 and 4) Efficacy of auxin-induced degradation or RNAi. (A)
Nuclear morphology in hermaphrodites depleted of ZYG-12, SUN-1 or LEM-2 with auxin-
induced degradation, or depleted of LEM-2 or LMN-1 using RNAi. The duration of auxin
treatment was at least 8 hours and the duration of feeding RNAi was 48hr. Scale bars, 10 µm. All
worms were homozygous for Psun-1::TIR1 or Pgld-1::TIR1. ZYG-12 depletion results in
mispositioning of meiotic nuclei. (B) DNC-1 at NE can be effectively depleted using RNAi. Live
imaging stills of DIC and DNC-1::GFP in the late pachytene region of the germline in worms fed
with Control RNAi or dnc-1(RNAi). Arrows indicate meiotic progression. Scale bar, 10 µm.
Fig. S11.
Fig. S11. (Related to Fig. 3) CRISPR tagging and auxin-inducible degradation of SUN-1 in
C. elegans germline. (A) Prediction of transmembrane region in C. elegans SUN-1 using
TMHMM (http://www.cbs.dtu.dk/services/TMHMM/). Probability of amino acids inside the
INM (green), outside the ONM (blue) and in the transmembrane region (magenta) is plotted. (B)
Multiple sequence alignments of nematode SUN-1 proteins were generated using Clustal Omega
and visualized using Jalview, showing position of degron/V5 insertion in C. elegans SUN-1. (C)
X-chromosome pairing (HIM-8) and SC assembly (SYP-1) in sun-1::AID::V5 worms without or
with auxin treatment. All worms were homozygous for Psun-1::TIR1. Scale bar, 10 µm. (D) SUN-
1 is required for ZYG-12 localization at the NE of meiotic cells. Composite images showing live
meiotic nuclei from mid/late pachytene in worms of indicated genotypes or treatments. All
worms were homozygous for Psun-1::TIR1 or Pgld-1::TIR1. ZYG-12::GFP in green and
mRuby::SYP-3 in magenta. All images are maximum-intensity projections and scaled
identically. Scale bar, 5 µm.
Fig. S12.
Fig. S12. (Related to Fig. 3) LMN-1 depletion is equally efficient upon auxin-induced co-
degradation. (A) Four strains carrying lmn-1::AID::V5 alone or in combination with other AID-
tagged genes were immunostained for V5 after the same 12hr treatment from young adult (-/+
Auxin). All strains have Psun-1 or Pgld-1 driven TIR1::mRuby. All images are maximum-intensity
projections and scaled identically between -/+ Auxin. Scale bar, 5 µm. (B) Quantification of
mean intensity of V5 staining per nucleus. Fluorescence intensity was measured from additive
projection images after background subtraction. 30 nuclei in late pachytene/early diplotene were
measured per condition. Medians (black crossbars) and means (black boxes) are shown. p-values
were calculated using one-way ANOVA and post hoc pairwise t-tests (two-sided; adjusted by the
Benjamini-Hochberg method). p > 0.05 between all + Auxin groups. A.U., arbitrary unit.
Fig. S13.
Fig. S13. (Related to Fig. 3) SUN-1, but not ZYG-12, is required for damage-induced
apoptosis during meiosis. (A) Germline apoptosis is increased upon depleting ZYG-12.
Apoptosis was quantified using CED-1::GFP. syp-1(me17)/nT1 heterozygous and syp-1(me17)
homozygous animals were used as controls. Mean ± SD are plotted. Pairwise Mann-Whitney test
was used for computing the p-values. (B) Germline apoptosis does not change upon SUN-1
depletion. Red dashed arrows indicate the direction of meiotic progression. Scale bar, 10 µm.
Unpaired two-sample two-sided Mann-Whitney test was used for computing the p-value. (C) X-
chromosome pairing (HIM-8) and SC assembly (SYP-1) in HA::AID::zyg-12 worms without
or with auxin treatment. Yellow arrow heads indicate nuclei with unpaired HIM-8 foci, white
arrow heads indicate nuclei with incomplete synapsis (HTP-3 staining devoid of SYP-1). Scale
bar, 10 μm. (D) RAD-51 staining in mid-pachytene nuclei in HA::AID::zyg-12 worms without
or with auxin treatment. Scale bar, 10 µm. (E) Single Z-section of non-deconvolved
immunofluorescence images showing CED-1::GFP positive meiotic nuclei stain positive for
SUN-1 but negative for ZYG-12 (orange arrow heads). One worm per row is shown. Scale bar, 5
µm.
Fig. S14.
Fig. S14. (Related to Fig. 3) The absence of the meiotic NE protein MJL-1 does not rescue
nuclear collapse. Nuclear morphology in wild-type (N2) or mjl-1 null (tm1651) worms
following Control RNAi or lmn-1(RNAi). Scale bar, 10 µm.
Fig. S15.
Fig. S15. (Related to Fig. 4) Pairing and synapsis upon depleting SAMP-1, EMR-1 or LEM-
2. X-chromosome pairing (HIM-8) and SC assembly (SYP-1 and HTP-3) upon RNAi-mediated
depletion of SAMP-1 or of LEM-2 in emr-1(gk119) mutants. Insets showing X-chromosome
pairing in early pachytene and bivalents formation in diakinesis under each condition. Scale bars,
10 µm.
Fig. S16.
Fig. S16. (Related to Fig. 4) Immunostaining of nuclear pores in germlines depleted of
EMR-1, LEM-2 and LMN-1. Composite images showing a representative gonad from an emr-
1(gk119), lmn-1::AID animal with lem-2(RNAi) and Auxin treatment, DAPI in cyan and NPP-7
(marking nuclear pore complex) in red. Insets show that nuclei undergoing exacerbated collapse
can still be surrounded by nuclear pore complexes marked by NPP-7. All scale bars, 10 µm.
Fig. S17.
Fig. S17. (Related to Fig. 4) Asymmetric distribution of ZYG-12::GFP at early pachytene
NE upon co-depleting LMN-1 and SAMP-1 or EMR-1/LEM-2. (A and C) Composite images
showing mRuby::SYP-3 (magenta) and ZYG-12::GFP (green) at the NE of early pachytene
nuclei of indicated genotypes or treatments. All images are maximum-intensity projections and
scaled identically per experiment. Scale bar, 5 µm. (B and D) Quantification of ZYG-12::GFP
fluorescence as a function of angle along the circumference of NE in early pachytene nuclei.
Intensity measurement was performed as in Fig. S8B. Because of the multiple bright foci/patches
of LINC complexes at the NE in each early pachytene nucleus, data had to be aligned and
normalized differently than that in Fig. 3B: data were aligned and mapped so that 180°
corresponds to the coordinate along the NE’s circumference with the minimum-intensity of
ZYG-12::GFP, which was normalized as one. In (B), N = 32 early pachytene nuclei pooled from
four animals were measured for each condition. p < 2.2e-16 between the control RNAi and
samp-1(RNAi) with 2-way ANOVA. In (D), N = 51 (Control RNAi) and 35 (lem-2(RNAi)) early
pachytene nuclei pooled from seven or four animals were measured. p < 2.2e-16 between the
control RNAi and lem-2(RNAi) with 2-way ANOVA. See Data S1. All worms were
homozygous for Pgld-1::TIR1.
Fig. S18.
Fig. S18. (Related to Fig. 5) Isolating meiotic nuclei for stiffness measurement using
mechano-NPS. (A) Schematic of the workflow of microdissecting C. elegans gonads to isolate
meiotic nuclei. (B) Nuclear size measured with mechano-NPS. The nuclear size is calculated
using supplemental equation 1. Welch ANOVA with Games-Howell multiple comparisons test
revealed no significant differences between nuclear diameter in each group, p>0.05. Sample
sizes for the Control RNAi, -Auxin, the Control RNAi, +Auxin, and the samp-1(RNAi), +Auxin
were n=79, n=94, n=113 nuclei respectively. The darker region of the histogram to the left of the
dotted line contains nuclei which were excluded from wCDI analysis because they were too
small to experience any strain, i.e. their size was smaller than or equal to the width of the
contraction channel employed. All nuclei to the right of the dotted line were included in wCDI
analysis.
Auxin
n Embryos laid (±SD)
Embryonic viability (±SD) %* Male progeny (±SD) %
Table S1.
Strains
Psun-1::TIR1IV
Psun-1::TIR1
Psun-1::TIR1 IV
-
+ (from L1)
+ (from L4)
lmn-1::AID::V5 I; Psun-1::TIR1 IV
-
lmn-1::AID::V5 I; Psun-1::TIR1 IV
+ (from L1)
lmn-1::AID::V5 I; Psun-1::TIR1 IV
+ (from L4)
HA::AID::zyg-12 II; Psun-1::TIR1 IV
-
HA::AID::zyg-12 II; Psun-1::TIR1 IV
+ (from L1)
HA::AID::zyg-12 II; Psun-1::TIR1 IV
+ (from L4)
sun-1::AID::V5 V; Psun-1::TIR1 IV
-
sun-1::AID::V5 V; Psun-1::TIR1 IV
+ (from L1)
sun-1::AID::V5 V; Psun-1::TIR1 IV
+ (from L4)
emr-1(gk119) I; lem-2::HA::AID II; Psun-
1::TIR1 IV
-
6
4
3
7
6
3
3
3
3
6
5
3
6
225.5 ± 18.9
106.1 ± 3.2
228.0 ± 26.5
106.8 ± 3.8
245.7 ± 43.8
108.0 ± 2.3
252.1 ± 30.4
106.4 ± 5.1
83.3 ± 45.8
39.7 ± 44.0
9.6 ± 23.5
0.0 ± 0.0
254.3 ± 76.4
104.1 ± 4.7
0.0 ± 0.0
0.0 ± 0.0
0.0 ± 0.0
0.0 ± 0.0
225.5 ± 53.5
81.3 ± 21.7
31.0 ± 26.5
33.3 ± 35.3
0.0 ± 0.0
0.0 ± 0.0
216.3 ± 22.5
106.4 ± 2.4
0.0 ± 0.0
0.0 ± 0.0
0.1 ± 0.2
0.1 ± 0.2
0.0 ± 0.0
0.0 ± 0.0
0.0 ± 0.0
0.0 ± 0.0
0.0 ± 0.0
0.7 ± 0.7
0.0 ± 0.0
0.0 ± 0.0
0.1 ± 0.2
* Embryonic viability of >100% reflects the fact that some embryos are overlooked when
counting, but adult worms hatched from these embryos are easier to count accurately.
Table S1. Quantification of brood size, embryonic viability, and male self-progeny of worm
strains with AID alleles generated in this study. Sample size n indicates the number of broods
examined. Note that high levels of uncertainty are usually associated with counting deformed
eggs resulting from auxin treatment.
Table S2.
Allele
Genotype
ie137
lmn-1(ie137[lmn-1::AID::V5])
ie138
zyg-12(ie138[HA::AID::zyg-12])
ie139
sun-1(ie139[sun-1::AID::V5])
ie140
lem-2(ie140[lem-2::HA::AID])
ie203
atg-7(ie203[atg-7::AID::HA])
Table S2. Alleles generated in this study.
Information about mutagenesis
Internally tagged; generated using dpy-10 Co-CRISPR in
ieSi38[sun-1p::TIR1::mRuby::sun-1 3'UTR, Cbr-unc-119(+)] IV
generated using dpy-10 Co-CRISPR in ieSi38[sun-
1p::TIR1::mRuby::sun-1 3'UTR, Cbr-unc-119(+)] IV
Internally tagged; generated using dpy-10 Co-CRISPR in
ieSi38[sun-1p::TIR1::mRuby::sun-1 3'UTR, Cbr-unc-119(+)] IV
generated using dpy-10 Co-CRISPR in ieSi38[sun-
1p::TIR1::mRuby::sun-1 3'UTR, Cbr-unc-119(+)] IV
generated using dpy-10 Co-CRISPR in ieSi38[sun-
1p::TIR1::mRuby::sun-1 3'UTR, Cbr-unc-119(+)] IV
Table S3.
Strains
C. elegans: N2 Bristol, wild isolate
C.elegans: bcIs39(ced-1::GFP) V
C. elegans: dnc-1::GFP
Source
Caenorhabditis Genetics
Center
Caenorhabditis Genetics
Center
Zhang, Skop and White (89)
C.elegans: syp-1 (me17) bcIs39(ced-1::GFP) V/ nT1 [qIs51] (IV;V)
Bhalla et al. (43)
C.elegans: ieDf2/mIs11 IV
C. elegans: ieSi38[sun-1p::TIR1::mRuby::sun-1 3’ UTR, Cbr-unc-119 (+)] IV
C.elegans: ieSi64[gld-1p::TIR1::mRuby::gld-1 3'UTR, Cbr-unc-119(+)] II; unc-
119(ed3) III
C.elegans: ieSi65[sun-1p::TIR1::sun-1 3'UTR, Cbr-unc-119(+)] II; unc-119(ed3) III
C. elegans: meIs8[pie-1p::GFP::cosa-1, unc-119(+)] II; spo-11(ie59[spo-
11::AID::3xFLAG]), ieSi38[sun-1p::TIR1::mRuby::sun-1 3'UTR, Cbr-unc-119(+)] IV
C. elegans: lmn-1(ie137[lmn-1::AID::V5]) I; unc-119 (ed3) III; ieSi38 [Psun-
1::TIR1::mRuby::sun-1 3’UTR, cb-unc-119(+)] IV
C. elegans: lmn-1(ie137[lmn-1::AID::V5]) I; unc-119 (ed3) III; ieSi38 [Psun-
1::TIR1::mRuby::sun-1 3’UTR, cb-unc-119(+)] IV; bcIs39 (ced-1::GFP) V
C. elegans: lmn-1(ie137[lmn-1::AID::V5]) I; ;ced-4(n1162) III; ieSi38 [Psun-
1::TIR1::mRuby::sun-1 3’UTR, cb-unc-119(+)] IV
C. elegans: lmn-1(ie137[lmn-1::AID::V5]) I; ieSi65[sun-1p::TIR1::sun-1 3'UTR,
Cbr-unc-119(+)] II; unc-119(ed3) III; ieSi21 (sun-1::mRuby) IV
C. elegans: unc-119 (ed3) III; ieSi38 [Psun-1::TIR1::mRuby::sun-1 3’UTR, cb-unc-
119(+)] IV; sun-1(ie139[sun-1::AID::V5]) V
C. elegans: lmn-1(ie137[lmn-1::AID::V5]) I; ieSi64[gld-1p::TIR1::mRuby::gld-1
3'UTR, Cbr-unc-119(+)] II; unc-119(ed3) III; sun-1(ie139[sun-1::AID::V5]) V
C. elegans: zyg-12(ie138[HA::AID::zyg-12]) II; unc-119 (ed3) III; ieSi38 [Psun-
1::TIR1::mRuby::sun-1 3’UTR, cb-unc-119(+)] IV
C. elegans: lmn-1(ie137[lmn-1::AID::V5]) I; zyg-12(ie138[HA::AID::zyg-12]) II; unc-
119 (ed3) III; ieSi38 [Psun-1::TIR1::mRuby::sun-1 3’UTR, cb-unc-119(+)] IV
C. elegans: lmn-1(ie137[lmn-1::AID::V5]), emr-1(gk119) I; unc-119 (ed3) III; ieSi38
[Psun-1::TIR1::mRuby::sun-1 3’UTR, cb-unc-119(+)] IV
C. elegans: lem-2(ie140[lem-2::HA::AID]) II; ieSi64[gld-1p::TIR1::mRuby::gld-1
3'UTR, Cbr-unc-119(+)] II; unc-119(ed3) III;
C. elegans: lmn-1(ie137[lmn-1::AID::V5]) I; lem-2(ie140[lem-2::HA::AID]),
ieSi64[gld-1p::TIR1::mRuby::gld-1 3'UTR, Cbr-unc-119(+)] II; unc-119(ed3) III;
C. elegans: lmn-1(ie137[lmn-1::AID::V5]), emr-1(gk119) I; unc-119 (ed3) III; ieSi38
[Psun-1::TIR1::mRuby::sun-1 3’UTR, cb-unc-119(+)] IV; sun-1(ie139[sun-
1::AID::V5]) V
C. elegans: syp-3 (ok857) I; ieSi64[gld-1p::TIR1::mRuby::gld-1 3'UTR, Cbr-unc-
119(+)] II; unc-119(ed3) III; ieSi19 (mRuby::SYP-3),ojIs9 [zyg-12(all)::GFP + unc-
119(+)] IV; sun-1(ie139[sun-1::AID::V5]) V
C. elegans: lmn-1(ie137[lmn-1::AID::V5]) I; ieSi64[gld-1p::TIR1::mRuby::gld-1
3'UTR, Cbr-unc-119(+)] II; unc-119(ed3) III; ieSi19 (mRuby::SYP-3),ojIs9 [zyg-
12(all)::GFP + unc-119(+)] IV; sun-1(ie139[sun-1::AID::V5]) V
C. elegans: lmn-1(ie137[lmn-1::AID::V5]) I; ieSi64[gld-1p::TIR1::mRuby::gld-1
3'UTR, Cbr-unc-119(+)] II; unc-119(ed3) III; ieSi19 (mRuby::SYP-3),ojIs9 [zyg-
12(all)::GFP + unc-119(+)] IV;
C. elegans: lmn-1(ie137[lmn-1::AID::V5]), emr-1(gk119) I; ieSi64[gld-
1p::TIR1::mRuby::gld-1 3'UTR, Cbr-unc-119(+)] II; unc-119(ed3) III; ieSi19
(mRuby::SYP-3),ojIs9 [zyg-12(all)::GFP + unc-119(+)] IV;
C. elegans: lmn-1(ie137[lmn-1::AID::V5]) I; meIs8[pie-1p::GFP::cosa-1, unc-
119(+)] II; unc-119 (ed3) III; ieSi38 [Psun-1::TIR1::mRuby::sun-1 3’UTR, cb-unc-
119(+)] IV
C. elegans: lmn-1(ie137[lmn-1::AID::V5]) I; meIs8[pie-1p::GFP::cosa-1, unc-
119(+)] II; unc-119 (ed3) III; spo-11(ie59[spo-11::AID::3xFLAG]), ieSi38 [Psun-
1::TIR1::mRuby::sun-1 3’UTR, cb-unc-119(+)] IV
Identifier
N2
CA195
(MD701)
CA846
CA885
CA998
CA1199
CA1352
CA1353
CA1423
CA1532
CA1561
CA1562
CA1563
CA1564
CA1565
CA1566
CA1567
CA1568
CA1569
CA1570
CA1571
Harper et al. (57);
Caenorhabditis Genetics
Center
Zhang et al. (35);
Caenorhabditis Genetics
Center
Zhang et al. (35);
Caenorhabditis Genetics
Center
Zhang et al. (35);
Caenorhabditis Genetics
Center
Zhang et al. (82);
Caenorhabditis Genetics
Center
This paper
This paper
This paper
This paper
This paper
This paper
This paper
This paper
This paper
This paper
This paper
This paper
This paper
CA1572
This paper
CA1573
This paper
CA1574
This paper
CA1575
This paper
CA1576
This paper
CA1577
40
C. elegans: lmn-1(ie137[lmn-1::AID::V5]) I; unc-119 (ed3) III; spo-11(ie59[spo-
11::AID::3xFLAG]), ieSi38 [Psun-1::TIR1::mRuby::sun-1 3’UTR, cb-unc-119(+)] IV;
sun-1(ie139[sun-1::AID::V5]) V
C. elegans: zyg-12(ie138[HA::AID::zyg-12]) II; unc-119 (ed3) III; ieSi38 [Psun-
1::TIR1::mRuby::sun-1 3’UTR, cb-unc-119(+)] IV; bcIs39 (ced-1::GFP) V
C. elegans: emr-1(gk119) I; lem-2(ie140[lem-2::HA::AID]) II; ieSi64[gld-
1p::TIR1::mRuby::gld-1 3'UTR, Cbr-unc-119(+)] II; unc-119(ed3) III;
C. elegans: mjl-1(tm1651) I; hT2 [bli-4(e937) let-?(q782) qIs48] (I,III)
C. elegans: unc-119 (ed3) III; atg-7(ie203[atg-7::AID::HA]) IV; ieSi38 [Psun-
1::TIR1::mRuby::sun-1 3’UTR, cb-unc-119(+)] IV
This paper
CA1578
This paper
This paper
CA1579
CA1677
National Bioresource Project
CA1728
This paper
CA1729
Table S3. Genotypes of worm strains generated and used in this study.
Table S4.
Transgenes
crRNAs and repair templates (mostly gBlock)
lmn-1::AID::V5 in ie137
HA::AID::zyg-12 in ie138
sun-1::AID::V5 in ie139
lem-2::HA::AID in ie140
atg-7::AID::HA in ie203
dpy-10
5’ – AGAAGTTCGTCACAAGAGAC – 3’; 5’ -
TCTGGAAGAAGATCTCGCTTTTGCTCTTCAA
CAGCACAAGGGAGAACTTGAAGAAGTTCGcC
ACAAGAGgCAGGTCGACATGACAACCTACG
GCGGCGGAGGATCCatgcctaaagatccagccaaac
ctccggccaaggcacaagttgtgggatggccaccggtgagatc
ataccggaagaacgtgatggtttcctgccaaaaatcaagcggtg
gcccggaggcggcggcgttcgtgaagggaggatccggaGG
AAAGCCAATTCCAAACCCACTTCTTGGACTC
GACTCCACCGCCAAGCAGATTAATGATGAGT
ATCAATCTAAGCTT -3’
5’ – GAATCTGAGTCGTCAGACAA – 3’; 5’ –
aaaatctatcaatttcttttttttcagaacaaaatcatgTACCCAT
ACGATGTTCCAGATTACGCTggaggatccggaatg
cctaaagatccagccaaacctccggccaaggcacaagttgtgg
gatggccaccggtgagatcataccggaagaacgtgatggtttcct
gccaaaaatcaagcggtggcccggaggcggcggcgttcgtga
agGGCGGCGGAGGATCCGGAGGAGGAGGC
AGTGGAGGCGGCGGTTCTGGCGGTGGCGG
CTCAGGCGGAGGTGGATCGTTAGACCTGAC
AAACAAAGAGTCCGAGTCTTCAGACAACGGA
AATAGCAAGTACGAAGATTCCATAGACGGAC
GA – 3’
5’ – GCTGGAATATCGCATTCGCA – 3’; 5’ –
TACAAGGAGCATTTTAGCTACAAAGAAATCA
CTTCGATGAAGAAGGAAATGTGGTATGACTG
GCTGGAATATCGCATcCGtGGCGGCGGAGGA
TCCatgcctaaagatccagccaaacctccggccaaggcaca
agttgtgggatggccaccggtgagatcataccggaagaacgtg
atggtttcctgccaaaaatcaagcggtggcccggaggcggcgg
cgttcgtgaagggaggatccggaGGAAAGCCAATTCC
AAACCCACTTCTTGGACTCGACTCCACCATG
GTTCGGCGTCGTTTTGTTCCAACGTGGGCC
CAGTTTAAACGTACTCTT – 3’
5’ – TGTGCCGTGTGGAAGTGGAT – 3’; 5’ –
CTACCGATGTTCTTGTGCTTCCGTCTGGAAA
TGAGTGcGCtGTcTGGAAaTGGATCGGAAATC
AGTCTCAGAAGAGATGGTACCCATACGATGT
TCCAGATTACGCTggaggatccggaatgcctaaagatc
cagccaaacctccggccaaggcacaagttgtgggatggccacc
ggtgagatcataccggaagaacgtgatggtttcctgccaaaaat
caagcggtggcccggaggcggcggcgttcgtgaagTAGatc
attgttttgctgtataatttttcgatttt– 3’
5’ – GATGATGAAGATTTCTGAat – 3’; 5’ –
CAGAACTCTGTTAATGCTATTGATATCGATTT
TGAGGATGATGAAGATTTCGGCGGCGGAGG
ATCCGGAGGAGGAGGCAGTGGAGGCGGCG
GTTCTGGCGGTGGCGGCTCAatgcctaaagatcca
gccaaacctccggccaaggcacaagttgtgggatggccaccg
gtgagatcataccggaagaacgtgatggtttcctgccaaaaatc
aagcggtggcccggaggcggcggcgttcgtgaagggaggatc
cggaTACCCATACGATGTTCCAGATTACGCTT
GAattggtcgcctcaaatttttaccttttctgtataattg – 3’
5’ – GCTACCATAGGCACCACGAG – 3’; 5’ –
ATACGGCAAGATGAGAATGACTGGAAACCGT
ACCGCATGCGGTGCCTATGGTAGCGGAGCT
TCACATGGCTTCAGA – 3’ (ssDNA repair
template)
Genotyping
primer names
oCL41 (F)
Primer
sequences
5' - AAA GCA GAA CAT
CAC TCT TCG TGA CAC
CGT AGA AG -3’;
Fragment sizes
oCL42 (R)
5' - TTT GAT GCA AAT TGT
TCT TGA ACT GAG CAC
GCA TCT C -3’
WT, 277bp; inserted,
481bp
oCL95 (F)
5’ –
TTGTAAACTCTACCAGCC
T -3’;
oCL96 (R)
5’ –
TCAGAGGTAGTTTAGTGG
C -3’;
WT, 401bp; inserted,
650bp
oCL101 (F)
5'- CTT CGA TGA AGA
AGG AAA TGT GGT ATG
ACT GGC -3';
oCL102 (R)
5'- CTC TTC GAT TGC CGA
CTC TTT CCA TCC TTT -3';
WT, 456bp; inserted,
660bp
oCL137 (F)
5’ –
GAAGCTCTACGAGCTCAT
C – 3’;
oCL138 (R)
5’ – gtcattgtgataccttaggc –
3’;
WT, 379bp; inserted,
553bp
Atg-7-Fw (F)
5’ –
GTCGTCTCGAAGAAGTCA
C – 3’;
WT, 186bp; inserted,
420bp
Atg-7-Rw (R)
5’ – ggaggcaaaatagaatcac –
3’;
N.A.
N.A.
N.A.
Table S4. Sequences of crRNAs, repair templates, and DNA primers used to genotype edited
progeny.
Table S5.
Target gene
GenePairs Name
Plate
dnc-1
dlc-1
lis-1
dhc-1
dli-1
dylt-1
lem-2
samp-1
lmn-1
ZK593.5
T26A5.9
T03F6.5
T21E12.4
C39E9.14
F13G3.4
W01G7.5
T24F1.2
DY3.2
111
75
88
4
116
11
63
58
14
Table S5. RNAi clones used in this study.
Well
B12
H6
F4
H2
A3
E6
B2
A6
D12
Table S6.
Channel A
Channel B
5.00 x 10-5
∆𝐼𝐼𝑠𝑠/𝐼𝐼
4.23 x 10-5
0.768 x 10-5
0.719 x 10-5
𝜎𝜎𝐼𝐼
De
10.2
11.1
n
25
21
Table S6. Measuring channel effective diameters. Polystyrene microspheres (Sigma-Aldrich)
with a diameter of 2 µm ± 0.05 µm suspended in the 1x Wash Buffer were measured with the
mechano-NPS platform. One platform consisted of two independent microfluidic channels for
measurement (Channel A and B), which acted as two independent devices. Polystyrene beads
were measured in both devices to calculate their effective diameters.
corresponds to the
average ratio of current pulse amplitude to baseline current produced as the polystyrene beads
transited the sizing segment and
diameter, as calculated from Equation S1 using
beads. n corresponds to the number of beads measured in each device.
corresponds to the standard deviation. De is the effective
and the known diameter of the polystyrene
∆𝑰𝑰𝒔𝒔/𝑰𝑰
𝝈𝝈𝑰𝑰
∆𝑰𝑰𝒔𝒔/𝑰𝑰
Table S7.
(
m/msec)
Channel A
Channel B
10.84
flow
10.15
U
µ
m/msec)
(
0.80
𝜎𝜎𝑈𝑈
1.23
µ
n
109
68
Table S7. Measuring fluid velocity. Uflow is the approximate fluid velocity (
m/msec),
its standard deviation (
m/msec), and n is the number of nuclei measured in each device
(Channel A and B). The Uflow in a device is the average nuclear velocity in the sizing segment of
𝜎𝜎𝑈𝑈 is
all nuclei measured in that device (Equation S3). One platform consisted of two independent
microfluidic channels for measurement, Channel A and B, which acted as independent devices,
therefore Uflow was calculated for each device. Three replicas of both Channel A and B were used
to calculate the Uflow values reported. Only nuclei whose wCDI was measured (nuclei that
underwent > 0% strain) were included in the Uflow calculation for each device.
µ
µ
Equations
Particle size was calculated using,
3
𝑑𝑑
is the magnitude of the current drop produced by the particle as it transits the sizing
𝐷𝐷𝑒𝑒�
where
1−0.8�
segment (Fig. 5B), I is the baseline current, d is the diameter of the particle, L is the overall
channel length, and De is the effective diameter (Table S6) (96).
∆𝐼𝐼𝑠𝑠
𝐿𝐿 �
�
(Eq. S1)
∆𝐼𝐼𝑠𝑠
𝐼𝐼 =
3
𝑑𝑑
2
𝐷𝐷𝑒𝑒
1
The whole-cell deformability index (wCDI) was calculated using,
(Eq. S2)
𝑣𝑣𝑐𝑐
where dn is the nuclear diameter, h is the channel height, vc is the velocity of the nucleus in the
𝑈𝑈𝑓𝑓𝑓𝑓𝑓𝑓𝑓𝑓 �
contraction segment, and Uflow is the fluid velocity (67). The contraction segment velocity is
, where Lc is the contraction segment length and tc is the nuclear transit
defined as
time in the contraction segment. The fluid velocity, Uflow, can be approximated as the average
nuclear velocity in the sizing segment,
𝑣𝑣𝑐𝑐 = 𝐿𝐿𝑐𝑐 𝑡𝑡𝑐𝑐⁄
𝑤𝑤𝑤𝑤𝐷𝐷𝐼𝐼 =
𝑑𝑑𝑛𝑛
ℎ �
(Eq. S3)
∑ 𝑣𝑣𝑠𝑠
𝑈𝑈𝑓𝑓𝑓𝑓𝑓𝑓𝑓𝑓~𝑣𝑣𝑠𝑠_𝑎𝑎𝑣𝑣𝑎𝑎 =
where vs is the nuclear velocity in the sizing segment and n is the number of nuclei measured.
The sizing segment velocity is defined as
, where Ls is the sizing segment length and
ts is the nuclear transit time through the sizing segment. An average of all nuclei’s vs is used to
𝑣𝑣𝑠𝑠 = 𝐿𝐿𝑠𝑠 𝑡𝑡𝑠𝑠⁄
calculate Uflow to take into account variations in the fluid velocity due to off-axis hydrodynamic
effects (97). For the experiments reported here, we calculated Uflow for each device (Channel A
and B) utilized (Table S7).
𝑛𝑛
Movie S1. (separate file)
Nuclear envelope dynamics marked by SUN-1::mRuby in late prophase after LMN-1
depletion. Two representative time-lapse recordings of SUN-1::mRuby at the NE of meiotic
nuclei in late meiotic prophase after LMN-1 depletion are shown. Arrow points to a collapsing
nucleus. Note many meiotic nuclei with asymmetrically distributed SUN-1::mRuby at the NE.
Time stamp is hr:min:sec. Scale bars, 10 µm.
Movie S2. (separate file)
Tracking SUN-1::mRuby patches in early meiosis. An example of drift-corrected time-lapse
recordings of SUN-1::mRuby patch movement on the NE of transition zone nuclei, using
reference frame followed by 3D particle tracking in Imaris. Time stamp is hr:min:sec. Scale bar,
5 µm.
Movie S3. (separate file)
LMN-1 depletion changes the mobility of SUN-1::mRuby patches throughout prophase.
Side-by-side comparison of time-lapse recordings of the movement of SUN-1::mRuby patches or
foci during different stages of meiosis, with or without LMN-1 depletion. Time stamp is
hr:min:sec. Scale bars, 5 µm.
Movie S4. (separate file)
Dynamics of diplotene nuclear collapse. Time-lapse recording of a dual-color labeled oocyte
nucleus during diplotene collapse. Green, ZYG-12::GFP; Magenta, mRuby::SYP-3. Scale bar, 5
µm.
Movie S5. (separate file)
Contact between NE and SC happens during diplotene nuclear collapse. Time-lapse
recording of another dual-color labeled diplotene nucleus during collapse. The frame showing
initial contact between NE and SC is annotated. Green, ZYG-12::GFP; Magenta, mRuby::SYP-
3. Time stamp is hr:min:sec. Scale bar, 2 µm.
Data S1. (separate file)
Statistical source data. Additional output of statistical tests performed in this study (with related
figures or supplementary figure numbers).
REFERENCES AND NOTES
1. N. Bhalla, A. F. Dernburg, Prelude to a division. Annu. Rev. Cell Dev. Biol. 24, 397–424 (2008).
2. Z. Yu, Y. Kim, A. F. Dernburg, Meiotic recombination and the crossover assurance checkpoint in
Caenorhabditis elegans. Semin. Cell Dev. Biol. 54, 106–116 (2016).
3. A. Sato, B. Isaac, C. M. Phillips, R. Rillo, P. M. Carlton, D. J. Wynne, R. A. Kasad, A. F. Dernburg,
Cytoskeletal forces span the nuclear envelope to coordinate meiotic chromosome pairing and
synapsis. Cell 139, 907–919 (2009).
4. D. J. Wynne, O. Rog, P. M. Carlton, A. F. Dernburg, Dynein-dependent processive chromosome
motions promote homologous pairing in C. elegans meiosis. J. Cell Biol. 196, 47–64 (2012).
5. C.-Y. Lee, H. F. Horn, C. L. Stewart, B. Burke, E. Bolcun-Filas, J. C. Schimenti, M. E. Dresser, R. J.
Pezza, Mechanism and regulation of rapid telomere prophase movements in mouse meiotic
chromosomes. Cell Rep. 11, 551–563 (2015).
6. J. Link, M. Leubner, J. Schmitt, E. Göb, R. Benavente, K. T. Jeang, R. Xu, M. Alsheimer, Analysis of
meiosis in SUN1 deficient mice reveals a distinct role of SUN2 in mammalian meiotic LINC
complex formation and function. PLOS Genet. 10, e1004099 (2014).
7. Y. Luo, I.-W. Lee, Y.-J. Jo, S. Namgoong, N.-H. Kim, Depletion of the LINC complex disrupts
cytoskeleton dynamics and meiotic resumption in mouse oocytes. Sci. Rep. 6, 20408 (2016).
8. B. Burke, LINC complexes as regulators of meiosis. Curr. Opin. Cell Biol. 52, 22–29 (2018).
9. W. Chang, H. J. Worman, G. G. Gundersen, Accessorizing and anchoring the LINC complex for
multifunctionality. J. Cell Biol. 208, 11–22 (2015).
10. J. Fan, H. Jin, B. A. Koch, H.-G. Yu, Mps2 links Csm4 and Mps3 to form a telomere-associated
LINC complex in budding yeast. Life Sci. Alliance 3, e202000824 (2020).
11. H. J. Kim, C. Liu, A. F. Dernburg, How and why chromosomes interact with the cytoskeleton during
meiosis. Genes 2022;13:901.
12. K. Zhou, M. M. Rolls, D. H. Hall, C. J. Malone, W. Hanna-Rose, A ZYG-12–dynein interaction at
the nuclear envelope defines cytoskeletal architecture in the C. elegans gonad. J. Cell Biol. 186, 229–
241 (2009).
13. O. Rog, Abby F. Dernburg, Direct visualization reveals kinetics of meiotic chromosome synapsis.
Cell Rep. 10, 1639–1645 (2015).
14. M. Zhang, in Encyclopedia of Reproduction, M. K. Skinner, Ed. (Academic Press, ed. 2, 2018), pp.
153–158.
15. G. Nagamatsu, S. Shimamoto, N. Hamazaki, Y. Nishimura, K. Hayashi, Mechanical stress
accompanied with nuclear rotation is involved in the dormant state of mouse oocytes Sci. Adv. 5,
eaav9960 (2019).
16. Y. Tsatskis, R. Rosenfeld, J. D. Pearson, C. Boswell, Y. Qu, K. Kim, L. Fabian, A. Mohammad, X.
Wang, M. I. Robson, K. Krchma, J. Wu, J. Gonçalves, D. Hodzic, S. Wu, D. Potter, L. Pelletier, W.
H. Dunham, A. C. Gingras, Y. Sun, J. Meng, D. Godt, T. Schedl, B. Ciruna, K. Choi, J. R. B. Perry,
R. Bremner, E. C. Schirmer, J. A. Brill, A. Jurisicova, H. McNeill, The NEMP family supports
metazoan fertility and nuclear envelope stiffness Sci. Adv. 6, eabb4591 (2020).
17. A. E. Goldman, G. Maul, P. M. Steinert, H. Y. Yang, R. D. Goldman, Keratin-like proteins that
coisolate with intermediate filaments of BHK-21 cells are nuclear lamins. Proc. Natl. Acad. Sci.
U.S.A. 83, 3839–3843 (1986).
18. U. Aebi, J. Cohn, L. Buhle, L. Gerace, The nuclear lamina is a meshwork of intermediate-type
filaments. Nature 323, 560–564 (1986).
19. F. D. McKeon, M. W. Kirschner, D. Caput, Homologies in both primary and secondary structure
between nuclear envelope and intermediate filament proteins. Nature 319, 463–468 (1986).
20. P. M. Davidson, J. Lammerding, Broken nuclei—Lamins, nuclear mechanics, and disease. Trends
Cell Biol. 24, 247–256 (2014).
21. J. Swift, I. L. Ivanovska, A. Buxboim, T. Harada, P. C. D. P. Dingal, J. Pinter, J. D. Pajerowski, K.
R. Spinler, J. W. Shin, M. Tewari, F. Rehfeldt, D. W. Speicher, D. E. Discher, Nuclear lamin-A
scales with tissue stiffness and enhances matrix-directed differentiation. Science 341, 1240104
(2013).
22. J. L. V. Broers, F. C. S. Ramaekers, G. Bonne, R. B. Yaou, C. J. Hutchison, Nuclear lamins:
Laminopathies and their role in premature ageing. Physiol. Rev. 86, 967–1008 (2006).
23. H. J. Worman, Nuclear lamins and laminopathies. J. Pathol. 226, 316–325 (2012).
24. C. M. Denais, R. M. Gilbert, P. Isermann, A. L. McGregor, M. te Lindert, B. Weigelin, P. M.
Davidson, P. Friedl, K. Wolf, J. Lammerding, Nuclear envelope rupture and repair during cancer cell
migration. Science 352, 353–358 (2016).
25. A. J. Earle, T. J. Kirby, G. R. Fedorchak, P. Isermann, J. Patel, S. Iruvanti, S. A. Moore, G. Bonne,
L. L. Wallrath, J. Lammerding, Mutant lamins cause nuclear envelope rupture and DNA damage in
skeletal muscle cells. Nat. Mater. 19, 464–473 (2020).
26. E. M. Hatch, A. H. Fischer, T. J. Deerinck, M. W. Hetzer, Catastrophic nuclear envelope collapse in
cancer cell micronuclei. Cell 154, 47–60 (2013).
27. M. Kneissig, K. Keuper, M. S. de Pagter, M. J. van Roosmalen, J. Martin, H. Otto, V. Passerini, A.
Campos Sparr, I. Renkens, F. Kropveld, A. Vasudevan, J. M. Sheltzer, W. P. Kloosterman, Z.
Storchova, Micronuclei-based model system reveals functional consequences of chromothripsis in
human cells. eLife 8, e50292 (2019).
28. J. Link, D. Paouneskou, M. Velkova, A. Daryabeigi, T. Laos, S. Labella, C. Barroso, S. Pacheco
Piñol, A. Montoya, H. Kramer, A. Woglar, A. Baudrimont, S. M. Markert, C. Stigloher, E. Martinez-
Perez, A. Dammermann, M. Alsheimer, M. Zetka, V. Jantsch, Transient and partial nuclear lamina
disruption promotes chromosome movement in early meiotic prophase. Dev. Cell 45, 212–225.e7
(2018).
29. J. Link, D. Jahn, J. Schmitt, E. Göb, J. Baar, S. Ortega, R. Benavente, M. Alsheimer, The meiotic
nuclear lamina regulates chromosome dynamics and promotes efficient homologous recombination in
the mouse. PLOS Genet. 9, e1003261 (2013).
30. M. C. Vantyghem, D. Vincent-Desplanques, F. Defrance-Faivre, J. Capeau, C. Fermon, A. S. Valat,
O. Lascols, A. C. Hecart, P. Pigny, B. Delemer, C. Vigouroux, J. L. Wemeau, Fertility and obstetrical
complications in women with LMNA-related familial partial lipodystrophy. J. Clin. Endocrinol.
Metabol. 93, 2223–2229 (2008).
31. J. Liu, T. R. Ben-Shahar, D. Riemer, M. Treinin, P. Spann, K. Weber, A. Fire, Y. Gruenbaum,
Essential roles for Caenorhabditis elegans lamin gene in nuclear organization, cell cycle progression,
and spatial organization of nuclear pore complexes. Mol. Biol. Cell 11, 3937–3947 (2000).
32. R. A. Green, H. L. Kao, A. Audhya, S. Arur, J. R. Mayers, H. N. Fridolfsson, M. Schulman, S.
Schloissnig, S. Niessen, K. Laband, S. Wang, D. A. Starr, A. A. Hyman, T. Schedl, A. Desai, F.
Piano, K. C. Gunsalus, K. Oegema, A high-resolution C. elegans essential gene network based on
phenotypic profiling of a complex tissue. Cell 145, 470–482 (2011).
33. G. Huelgas-Morales, M. Sanders, G. Mekonnen, T. Tsukamoto, D. Greenstein, Decreased
mechanotransduction prevents nuclear collapse in a Caenorhabditis elegans laminopathy. Proc. Natl.
Acad. Sci. U.S.A. 117, 31301–31308 (2020).
34. E. Haithcock, Y. Dayani, E. Neufeld, A. J. Zahand, N. Feinstein, A. Mattout, Y. Gruenbaum, J. Liu,
Age-related changes of nuclear architecture in Caenorhabditis elegans. Proc. Natl. Acad. Sci. U.S.A.
102, 16690–16695 (2005).
35. L. Zhang, J. D. Ward, Z. Cheng, A. F. Dernburg, The auxin-inducible degradation (AID) system
enables versatile conditional protein depletion in C. elegans. Development 142, 4374–4384 (2015).
36. G. Velez-Aguilera, S. Nkombo Nkoula, B. Ossareh-Nazari, J. Link, D. Paouneskou, L. van Hove, N.
Joly, N. Tavernier, J. M. Verbavatz, V. Jantsch, L. Pintard, PLK-1 promotes the merger of the
parental genome into a single nucleus by triggering lamina disassembly. eLife 9, e59510 (2020).
37. T. Dechat, S. A. Adam, P. Taimen, T. Shimi, R. D. Goldman, Nuclear lamins. Cold Spring Harb.
Perspect. Biol. 2, a000547 (2010).
38. C. Rinaldo, P. Bazzicalupo, S. Ederle, M. Hilliard, A. La Volpe, Roles for Caenorhabditis elegans
rad-51 in meiosis and in resistance to ionizing radiation during development. Genetics 160, 471–479
(2002).
39. R. Yokoo, K. A. Zawadzki, K. Nabeshima, M. Drake, S. Arur, A. M. Villeneuve, COSA-1 reveals
robust homeostasis and separable licensing and reinforcement steps governing meiotic crossovers.
Cell 149, 75–87 (2012).
40. A. Penkner, L. Tang, M. Novatchkova, M. Ladurner, A. Fridkin, Y. Gruenbaum, D. Schweizer, J.
Loidl, V. Jantsch, The nuclear envelope protein matefin/SUN-1 is required for homologous pairing in
C. elegans meiosis. Dev. Cell 12, 873–885 (2007).
41. T. Bohr, G. Ashley, E. Eggleston, K. Firestone, N. Bhalla, Synaptonemal complex components are
required for meiotic checkpoint function in Caenorhabditis elegans. Genetics 204, 987–997 (2016).
42. S. A. Raiders, M. D. Eastwood, M. Bacher, J. R. Priess, Binucleate germ cells in Caenorhabditis
elegans are removed by physiological apoptosis. PLOS Genet. 14, e1007417 (2018).
43. N. Bhalla, A. F. Dernburg, A conserved checkpoint monitors meiotic chromosome synapsis in
Caenorhabditis elegans. Science 310, 1683–1686 (2005).
44. T. Bohr, C. R. Nelson, E. Klee, N. Bhalla, Spindle assembly checkpoint proteins regulate and
monitor meiotic synapsis in C. elegans. J. Cell Biol. 211, 233–242 (2015).
45. A. J. MacQueen, M. P. Colaiácovo, K. McDonald, A. M. Villeneuve, Synapsis-dependent and -
independent mechanisms stabilize homolog pairing during meiotic prophase in C. elegans. Genes
Dev. 16, 2428–2442 (2002).
46. A. Gartner, S. Milstein, S. Ahmed, J. Hodgkin, M. O. Hengartner, A conserved checkpoint pathway
mediates DNA damage–induced apoptosis and cell cycle arrest in C. elegans. Mol. Cell 5, 435–443
(2000).
47. Y. Zhang, L. Yan, Z. Zhou, P. Yang, E. Tian, K. Zhang, Y. Zhao, Z. Li, B. Song, J. Han, L. Miao, H.
Zhang, SEPA-1 mediates the specific recognition and degradation of P granule components by
autophagy in C. elegans. Cell 136, 308–321 (2009).
48. Y. Tian, Z. Li, W. Hu, H. Ren, E. Tian, Y. Zhao, Q. Lu, X. Huang, P. Yang, X. Li, X. Wang, A. L.
Kovács, L. Yu, H. Zhang, C. elegans screen identifies autophagy genes specific to multicellular
organisms. Cell 141, 1042–1055 (2010).
49. O. Rog, S. Köhler, A. F. Dernburg, The synaptonemal complex has liquid crystalline properties and
spatially regulates meiotic recombination factors. eLife 6, e21455 (2017).
50. I. L. Minn, M. M. Rolls, W. Hanna-Rose, C. J. Malone, SUN-1 and ZYG-12, mediators of
centrosome–nucleus attachment, are a functional SUN/KASH pair in Caenorhabditis elegans. Mol.
Biol. Cell 20, 4586–4595 (2009).
51. M. Terasawa, M. Toya, F. Motegi, M. Mana, K. Nakamura, A. Sugimoto, Caenorhabditis elegans
ortholog of the p24/p22 subunit, DNC-3, is essential for the formation of the dynactin complex by
bridging DNC‐1/p150Glued and DNC-2/dynamitin. Genes Cells 15, 1145–1157 (2010).
52. R. H. Harders, T. H. Morthorst, A. D. Lande, M. O. Hesselager, O. A. Mandrup, E. Bendixen, A.
Stensballe, A. Olsen, Dynein links engulfment and execution of apoptosis via CED-4/Apaf1 in C.
elegans. Cell Death Dis. 9, 1012 (2018).
53. C. Liu, J.-Z. Chuang, C.-H. Sung, Y. Mao, A dynein independent role of Tctex-1 at the kinetochore.
Cell Cycle 14, 1379–1388 (2015).
54. S. M. O'Rourke, M. D. Dorfman, J. C. Carter, B. Bowerman, Dynein modifiers in C. elegans: Light
chains suppress conditional heavy chain mutants. PLOS Genet. 3, e128 (2007).
55. Y. B. Tzur, A. Margalit, N. Melamed-Book, Y. Gruenbaum, Matefin/SUN-1 is a nuclear envelope
receptor for CED-4 during Caenorhabditis elegans apoptosis. Proc. Natl. Acad. Sci. U.S.A. 103,
13397–13402 (2006).
56. C. M. Phillips, A. F. Dernburg, A family of zinc-finger proteins is required for chromosome-specific
pairing and synapsis during meiosis in C. elegans. Dev. Cell 11, 817–829 (2006).
57. N. C. Harper, R. Rillo, S. Jover-Gil, Z. J. Assaf, N. Bhalla, A. F. Dernburg, Pairing centers recruit a
polo-like kinase to orchestrate meiotic chromosome dynamics in C. elegans. Dev. Cell 21, 934–947
(2011).
58. H. J. Kim, C. Liu, L. Zhang, A. F. Dernburg, MJL-1 is a nuclear envelope protein required for
homologous chromosome pairing and regulation of synapsis during meiosis in C. elegans Sci. Adv. 9,
eadd1453 (2023).
59. M. B. Gerstein, Z. J. Lu, E. L. van Nostrand, C. Cheng, B. I. Arshinoff, T. Liu, K. Y. Yip, R.
Robilotto, A. Rechtsteiner, K. Ikegami, P. Alves, A. Chateigner, M. Perry, M. Morris, R. K.
Auerbach, X. Feng, J. Leng, A. Vielle, W. Niu, K. Rhrissorrakrai, A. Agarwal, R. P. Alexander, G.
Barber, C. M. Brdlik, J. Brennan, J. J. Brouillet, A. Carr, M. S. Cheung, H. Clawson, S. Contrino, L.
O. Dannenberg, A. F. Dernburg, A. Desai, L. Dick, A. C. Dosé, J. du, T. Egelhofer, S. Ercan, G.
Euskirchen, B. Ewing, E. A. Feingold, R. Gassmann, P. J. Good, P. Green, F. Gullier, M. Gutwein,
M. S. Guyer, L. Habegger, T. Han, J. G. Henikoff, S. R. Henz, A. Hinrichs, H. Holster, T. Hyman, A.
L. Iniguez, J. Janette, M. Jensen, M. Kato, W. J. Kent, E. Kephart, V. Khivansara, E. Khurana, J. K.
Kim, P. Kolasinska-Zwierz, E. C. Lai, I. Latorre, A. Leahey, S. Lewis, P. Lloyd, L. Lochovsky, R. F.
Lowdon, Y. Lubling, R. Lyne, M. MacCoss, S. D. Mackowiak, M. Mangone, S. McKay, D. Mecenas,
G. Merrihew, D. M. Miller III, A. Muroyama, J. I. Murray, S. L. Ooi, H. Pham, T. Phippen, E. A.
Preston, N. Rajewsky, G. Rätsch, H. Rosenbaum, J. Rozowsky, K. Rutherford, P. Ruzanov, M. Sarov,
R. Sasidharan, A. Sboner, P. Scheid, E. Segal, H. Shin, C. Shou, F. J. Slack, C. Slightam, R. Smith,
W. C. Spencer, E. O. Stinson, S. Taing, T. Takasaki, D. Vafeados, K. Voronina, G. Wang, N. L.
Washington, C. M. Whittle, B. Wu, K. K. Yan, G. Zeller, Z. Zha, M. Zhong, X. Zhou; modENCODE
Consortium, J. Ahringer, S. Strome, K. C. Gunsalus, G. Micklem, X. S. Liu, V. Reinke, S. K. Kim, L.
D. W. Hillier, S. Henikoff, F. Piano, M. Snyder, L. Stein, J. D. Lieb, R. H. Waterston, Integrative
analysis of the Caenorhabditis elegans genome by the modENCODE Project. Science 330, 1775–
1787 (2010).
60. K. Ikegami, T. A. Egelhofer, S. Strome, J. D. Lieb, Caenorhabditis elegans chromosome arms are
anchored to the nuclear membrane via discontinuous association with LEM-2. Genome Biol. 11,
R120 (2010).
61. T. R. Mandigo, B. D. Turcich, A. J. Anderson, M. R. Hussey, E. S. Folker, Drosophila emerins
control LINC complex localization and transcription to regulate myonuclear position. J. Cell Sci. 132,
jcs235580 (2019).
62. Y. Hiraoka, H. Maekawa, H. Asakawa, Y. Chikashige, T. Kojidani, H. Osakada, A. Matsuda, T.
Haraguchi, Inner nuclear membrane protein Ima1 is dispensable for intranuclear positioning of
centromeres. Genes Cells 16, 1000–1011 (2011).
63. S. Gudise, R. A. Figueroa, R. Lindberg, V. Larsson, E. Hallberg, Samp1 is functionally associated
with the LINC complex and A-type lamina networks. J. Cell Sci. 124, 2077–2085 (2011).
64. J. Borrego-Pinto, T. Jegou, D. S. Osorio, F. Auradé, M. Gorjánácz, B. Koch, I. W. Mattaj, E. R.
Gomes, Samp1 is a component of TAN lines and is required for nuclear movement. J. Cell Sci. 125,
1099–1105 (2012).
65. C. R. Bone, E. C. Tapley, M. Gorjánácz, D. A. Starr, The Caenorhabditis elegans SUN protein
UNC-84 interacts with lamin to transfer forces from the cytoplasm to the nucleoskeleton during
nuclear migration. Mol. Biol. Cell 25, 2853–2865 (2014).
66. A. Morales-Martínez, A. Dobrzynska, P. Askjaer, Inner nuclear membrane protein LEM-2 is
required for correct nuclear separation and morphology in C. elegans. J. Cell Sci. 128, 1090–1096
(2015).
67. J. Kim, S. Han, A. Lei, M. Miyano, J. Bloom, V. Srivastava, M. R. Stampfer, Z. J. Gartner, M. A.
LaBarge, L. L. Sohn, Characterizing cellular mechanical phenotypes with mechano-node-pore
sensing. Microsyst. Nanoeng. 4, 17091 (2018).
68. B. Li, A. Maslan, S. E. Kitayama, C. Pierce, A. M. Streets, L. L. Sohn, Mechanical phenotyping
reveals unique biomechanical responses in retinoic acid-resistant acute promyelocytic leukemia.
iScience 25, 103772 (2022).
69. K. G. Geles, S. A. Adam, Germline and developmental roles of the nuclear transport factor importin
α3 in C. elegans. Development 128, 1817–1830 (2001).
70. N. T. Chartier, A. Mukherjee, J. Pfanzelter, S. Fürthauer, B. T. Larson, A. W. Fritsch, R. Amini, M.
Kreysing, F. Jülicher, S. W. Grill, A hydraulic instability drives the cell death decision in the
nematode germline. Nat. Phys. 17, 920–925 (2021).
71. A. F. Dernburg, Pushing the (nuclear) envelope into meiosis. Genome Biol. 14, 110 (2013).
72. E. C. Schirmer, R. Foisner, Proteins that associate with lamins: Many faces, many functions. Exp.
Cell Res. 313, 2167–2179 (2007).
73. A. Brachner, S. Reipert, R. Foisner, J. Gotzmann, LEM2 is a novel MAN1-related inner nuclear
membrane protein associated with A-type lamins. J. Cell Sci. 118, 5797–5810 (2005).
74. L. Clements, S. Manilal, D. R. Love, G. E. Morris, Direct interaction between emerin and lamin A.
Biochem. Biophys. Res. Commun. 267, 709–714 (2000).
75. M. Sakaki, H. Koike, N. Takahashi, N. Sasagawa, S. Tomioka, K. Arahata, S. Ishiura, Interaction
between emerin and nuclear lamins. J. Biochem. 129, 321–327 (2001).
76. R. Zhu, C. Liu, G. G. Gundersen, Nuclear positioning in migrating fibroblasts. Semin. Cell Dev.
Biol. 82, 41–50 (2018).
77. E. S. Folker, C. Östlund, G. W. G. Luxton, H. J. Worman, G. G. Gundersen, Lamin A variants that
cause striated muscle disease are defective in anchoring transmembrane actin-associated nuclear lines
for nuclear movement. Proc. Natl. Acad. Sci. U.S.A. 108, 131–136 (2011).
78. L. Penfield, B. Wysolmerski, M. Mauro, R. Farhadifar, M. A. Martinez, R. Biggs, H. Y. Wu, C.
Broberg, D. Needleman, S. Bahmanyar, Dynein pulling forces counteract lamin-mediated nuclear
stability during nuclear envelope repair. Mol. Biol. Cell 29, 852–868 (2018).
79. W. Chang, Y. Wang, G. W. G. Luxton, C. Östlund, H. J. Worman, G. G. Gundersen, Imbalanced
nucleocytoskeletal connections create common polarity defects in progeria and physiological aging.
Proc. Natl. Acad. Sci. U.S.A. 116, 3578–3583 (2019).
80. Y. K. Wu, H. Umeshima, J. Kurisu, M. Kengaku, Nesprins and opposing microtubule motors
generate a point force that drives directional nuclear motion in migrating neurons. Development 145,
dev158782 (2018).
81. S. Brenner, The genetics of Caenorhabditis elegans. Genetics 77, 71–94 (1974).
82. L. Zhang, S. Köhler, R. Rillo-Bohn, A. F. Dernburg, A compartmentalized signaling network
mediates crossover control in meiosis. eLife 7, e30789 (2018).
83. J. A. Arribere, R. T. Bell, B. X. H. Fu, K. L. Artiles, P. S. Hartman, A. Z. Fire, Efficient marker-free
recovery of custom genetic modifications with CRISPR/Cas9 in Caenorhabditis elegans. Genetics
198, 837–846 (2014).
84. A. Paix, A. Folkmann, D. Rasoloson, G. Seydoux, High efficiency, homology-directed genome
editing in Caenorhabditis elegans using CRISPR-Cas9 ribonucleoprotein complexes. Genetics 201,
47–54 (2015).
85. L. Timmons, D. L. Court, A. Fire, Ingestion of bacterially expressed dsRNAs can produce specific
and potent genetic interference in Caenorhabditis elegans. Gene 263, 103–112 (2001).
86. T. Davies, H. X. Kim, N. Romano Spica, B. J. Lesea-Pringle, J. Dumont, M. Shirasu-Hiza, J. C.
Canman, Cell-intrinsic and -extrinsic mechanisms promote cell-type-specific cytokinetic diversity.
eLife 7, e36204 (2018).
87. R. S. Kamath, J. Ahringer, Genome-wide RNAi screening in Caenorhabditis elegans. Methods 30,
313–321 (2003).
88. R. S. Kamath, A. G. Fraser, Y. Dong, G. Poulin, R. Durbin, M. Gotta, A. Kanapin, N. le Bot, S.
Moreno, M. Sohrmann, D. P. Welchman, P. Zipperlen, J. Ahringer, Systematic functional analysis of
the Caenorhabditis elegans genome using RNAi. Nature 421, 231–237 (2003).
89. H. Zhang, A. R. Skop, J. G. White, Src and Wnt signaling regulate dynactin accumulation to the P2-
EMS cell border in C. elegans embryos. J. Cell Sci. 121, 155–161 (2008).
90. C. M. Phillips, K. L. McDonald, A. F. Dernburg, in Meiosis: Volume 2, Cytological Methods, S.
Keeney, Ed. (Humana Press, 2009), pp. 171–195.
91. A. J. MacQueen, C. M. Phillips, N. Bhalla, P. Weiser, A. M. Villeneuve, A. F. Dernburg,
Chromosome sites play dual roles to establish homologous synapsis during meiosis in C. elegans.
Cell 123, 1037–1050 (2005).
92. C. M. Phillips, C. Wong, N. Bhalla, P. M. Carlton, P. Weiser, P. M. Meneely, A. F. Dernburg, HIM-
8 binds to the X chromosome pairing center and mediates chromosome-specific meiotic synapsis.
Cell 123, 1051–1063 (2005).
93. A. Gartner, A. J. MacQueen, A. M. Villeneuve, in Checkpoint Controls and Cancer: Volume 1:
Reviews and Model Systems, A. H. Schönthal, Ed. (Humana Press, 2004), pp. 257–274.
94. M. Han, G. Wei, C. E. McManus, L. W. Hillier, V. Reinke, Isolated C. elegans germ nuclei exhibit
distinct genomic profiles of histone modification and gene expression. BMC Genomics 20, 500
(2019).
95. A. Lai, R. Rex, K. L. Cotner, A. Dong, M. Lustig, L. L. Sohn, Mechano-node-pore sensing: A rapid,
label-free platform for multi-parameter single-cell viscoelastic measurements. J. Vis. Exp., e64665
(2022).
96. R. W. DeBlois, C. P. Bean, Counting and sizing of submicron particles by the resistive pulse
technique. Rev. Sci. Instrum. 41, 909–916 (1970).
97. O. A. Saleh, L. L. Sohn, Correcting off-axis effects in an on-chip resistive-pulse analyzer. Rev. Sci.
Instrum. 73, 4396–4398 (2002).
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10.1126_sciadv.ade1817.pdf
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Supplementary Materials for
Starvation-induced changes in somatic insulin/IGF-1R signaling drive
metabolic programming across generations
Merly C. Vogt et al.
Corresponding author: Merly C. Vogt, merly.vogt@helmholtz-munich.de
Sci. Adv. 9, eade1817 (2023)
DOI: 10.1126/sciadv.ade1817
The PDF file includes:
Figs. S1 to S7
Legends for data S1 to S12
Other Supplementary Material for this manuscript includes the following:
Data S1 to S12
Fig. S1. Inter- and transgenerational increase in exploration can be observed after one
round of ancestral starvation, related to Fig. 1
(A) Schematic overview of exploratory behavior assay. (B) Exploratory behavior was
assessed over a 16h period starting with animals at the young L4 stage. Data was
obtained from 2-4 independent biological replicates (indicated by different colors of each
data point) with n=15-20 animals/replicate. Data is presented as mean +/-SEM.
Significance was determined by Mann Whitney U test.
Fig. S2, Early life starvation results in differential expression of genes involved in lipid
metabolism transgenerationally, but does not increase lifespan, related to Fig. 2
(A) Transcriptome analysis was performed across 3 independent biological replicates
with ~10.000 L1 animals/replicate. Samples were collected under fed and starved
conditions. Adjusted p-values were determined by Wald test with subsequent Benjamini
and Hochberg correction using the DESeq2 package (97). (B) In our hands, early life
starvation does not increase lifespan transgenerationally in either P0L1starved+3fed (n
control= 139; n 1xAS=130; data combined from two independent biological replicates) or
F4L1starved+3fed (n Control=381; n 5xAS=399; data combined from four independent
biological replicates) as previously reported (42, 43).
Fig. S3, L1 starvation affects fertility and transcriptome of individuals within a population
to different extents, related to Fig. 4
(A) Transcriptome analysis was performed across 3 independent biological replicates
with ~100 manually picked animals/group at day 1 of adulthood under fed conditions.
Animals were separated into fertile and sterile F4L1starved. Differential gene expression
between control, fertile and sterile F4L1starved animals and overlap between groups is
displayed as Venn-Diagram (not drawn to scale). (B) Downstream DAF-16/FoxO target
genes that showed an overall relative upregulation in fertile F4L1starved animals compared
to control animals (Fig. 3B), showed an even further upregulation in sterile F4L1starved
compared to fertile F4L1starved animals. Values in heatmap were z-scored normalized and
plotted using heatmap3 in RStudio. Each row represents a single gene and each column
represents a single RNA-seq replicate. Blue=relative downregulation, red=relative
upregulation in sterile F4L1starved animals. Adjusted p-values were determined by Wald
test with subsequent Benjamini and Hochberg correction using the DESeq2 package (97).
Significant enrichment was determined by hypergeometric distribution.
Fig. S4, DAF-16/FoxO does not act directly in the germline to mediate metabolic
programming across generations, related to Fig. 5
(A) Acute starvation in control animals results in overall upregulation of class 1 IIS
downstream target genes. Values of differentially expressed genes (adj.p<0.1) between
fed and starved L1 control animals were z-score normalized and plotted using heatmap3
using RStudio. Each row represents a single gene and each column represents a single
RNA-Seq replicate. Blue=relative downregulation, red=relative upregulation in starved
L1 animals. Imaging of fed and acutely starved L1 animals with an endogenously-tagged
mNeonGreen DAF-16/FoxO allele (ot853) confirms nuclear accumulation, and thus
activation, of DAF-16/FoxO::mNeonGreen across the animal, including germline
precursor cells, epidermis, neurons and intestines upon starvation. Scale bar =15µm. (B)
DAF-16/FoxO::mNG also localizes (peri)nuclearly in the mitotic germline upon acute
starvation in control fed adult animals. However, the severity and subcellular distribution
of DAF-16/FoxO::mNG is different in acutely starved adult compared to L1 starved,
currently fed adult animals. Scale bar = 15 µm. (C) Nearly 100% of adult fed sterile
F4L1starved animals display nuclear accumulation of DAF-16/FoxO::mNG in mitotic
germline. (D) Relative nuclear accumulation of DAF-16/FoxO::mNG in mitotic germline
is still significantly increased in immediate progeny, but lost in subsequent descendants
of F4L1starved. Data was collected from n=10 animals/group and 3 biological replicates and
is presented as mean+/-SEM. Significance was determined by Chi-square test. Color
indicates sub-cellular localization of DAF-16/FoxO in mitotic germline: White=
cytoplasm; Green= Nucleus. Control and ancestrally starved animals were imaged in
presence of acute auxin unlike animals displayed in Fig. 4A and S4B, which could
explain slight increase in nuclear accumulation in mitotic germline even in control
animals. (E) Impaired fertility of F4L1starved is not mediated across generations to
F4L1starved +1fed animals. (F) One round of L1 starvation is sufficient to impair fertility
later in life. Data is displayed as mean +/- SEM and was collected from n=16/group
across two biological replicates. Significance was determined by Mann Whitney U test.
(G) One round of L1 starvation is sufficient to induce DAF-16/FoxO nuclear
accumulation in mitotic germline in adult animals. Data was collected from n=10
animals/group and 3 biological replicates and is presented as mean+/-SEM. Significance
was determined by Chi-square test. (H-K) Results for exploratory behavior and oxidative
stress resistance in F4L1starved +1fed upon auxin-induced DAF-16/FoxO depletion
specifically in the germline and only during indicated generation and time-points (same
outline as displayed in Fig. 5C-5F for F4L1starved +3fed). Data for exploratory behavior was
collected from n=20/group across 3 biological replicates per condition and displayed as
mean +/-SEM. Statistical significance was determined using One Way ANOVA with
posthoc Tukey. For oxidative stress resistance, the combined data of 3 independent
biological replicates per group and condition with n=70-103/replicate is displayed.
Statistical significance was determined by Log-rank (Mantel-Cox test).
Fig. S5, Starvation-induced increase of DAF-16/FoxO activity in somatic tissues causes
metabolic programming across generation, related to Fig. 6
(A-D) AID/TIR1 system efficiently and specifically depletes DAF-16/FoxO::mNG::AID
from tissues of interest. DAF-16/FoxO::mNG::AID is efficiently depleted from (A)
germline precursor cells in animals expressing TIR1 under the control of a germline-
specific promoter (ot853;ieSi38), (B) pan-somatically in animals expressing TIR1 under
control of a pan-somatic promoter (ot853; ieSi57), (C) the intestine in animals expressing
TIR1 under control of intestine-specific promoter (ot853, ieSi61), and (D) pan-neuronally
in animals expressing TIR1 under the control of a panneuronal-specific promoter (ot853;
reSi7) in the presence of auxin only. Scale bar =15 µm. Animals are imaged at L2 stage
under fed conditions. (E) Auxin exposure does not efficiently deplete DAF-
16/FoxO::mNG::AID in embryos in our paradigm. Displayed are embryos expressing
DAF-16/FoxO::mNG::AID and pan-somatic TIR1 (ot853; ieSi57) at various stages in the
absence or presence of auxin. Scale bar =15 µm. F-H) Results for oxidative stress
resistance upon pan-somatic depletion of DAF-16/FoxO during distinct time points are
displayed as combined data from three independent biological replicates with n=80-
114/replicate are displayed. Statistical significance was determined by Log-rank (Mantel-
Cox test). (F) Acute pan-somatic DAF-16/FoxO depletion decreased oxidative stress in
control and F4L1starved +1fed animals. (G) Pan-somatic DAF-16/FoxO depletion during L1
starvation in the parental generation reverted decreased oxidative stress resistance in
F4L1starved +1fed (ot853; ieSi57 control vs ot853; ieSi57 F4L1starved +1fed animals not
significant). (H) Pan-somatic DAF-16/FoxO depletion during recovery phase in the
parental generation reverted decreased oxidative stress resistance in F4L1starved +1fed
(ot853; ieSi57 control vs ot853; ieSi57 F4L1starved +1fed animals not significant). (I) Acute
pan-somatic depletion of DAF-16/FoxO was insufficient to increase exploration in either
control or ancestrally starved animals. (J) Pan-somatic DAF-16/FoxO depletion during
L1 starvation or (K) recovery phase in parental generation does not revert increased
exploratory behavior inter- (F4L1starved +1fed) or transgenerationally (F4L1starved +3fed). Data
was obtained from n=20/group and 3 independent biological replicates and is displayed
as mean+/-SEM. Statistical significance was determined using One Way ANOVA with
posthoc Tukey.
Fig. S6, Intestinal TIR1- and DAF-16/FoxO::mNG::AID expressing strain displays slight
increase in oxidative stress resistance even in absence of auxin, related to Fig. 7
(A) Oxidative stress resistance is significantly increased in animals expressing DAF-
16/FoxO::mNG::AID and intestine-specific TIR1 (ot853;ieSi61) compared to animals
expressing DAF-16/FoxO::mNG::AID (ot853) animals even in the absence of auxin.
Data is displayed as combined data from three independent biological replicates with
n=80-100/replicate. Statistical significance was determined by Log-rank (Mantel-Cox
test).
Fig. S7, A large subset of genes encoding for critical factors involved in the biogenesis and
function of small RNAs are “class 2” downstream targets of IIS, related to Fig. 8
(A) Transcriptome analysis between control and fertile F4L1starved revealed that genes
encoding for critical factors involved in biogenesis and function of small RNAs displayed
relative downregulation in fertile F4L1starved compared to control animals at day 1 of
adulthood under fed conditions. Values of genes between fed and starved L1 control
animals were z-score normalized and plotted using heatmap3 using RStudio. Each row
represents a single gene and each column represents a single RNA-Seq replicate.
Blue=relative downregulation, red=relative upregulation. Adjusted p-values were
determined by Wald test with subsequent Benjamini and Hochberg correction using the
DESeq2 package (97).
Data S1. (Separate file)
Data S1: Transcriptome Analysis Control vs F4+3 – All Genes and Conditions
Related to Fig. 2
Data S2: Significantly Expressed Genes Control vs F4+3 under fed conditions
Related to Fig. 2A, 2B
Data S3: Significantly Expressed Genes Control vs F4+3 under starved conditions
Related to Fig. 2A, 2B
Data S4: Enrichment Differentially Expressed Genes Control vs F4+3 Fed for class1
IIS genes Related to Fig. 2E
Data S5: Enrichment Differentially Expressed Genes Control vs F4+3 Fed for class2
IIS genes Related to Fig. 2E
Data S6: Transcriptome Analysis Parental Control vs F4 – All Genes and Groups
Related to Fig. 4
Data S7: Differentially expressed Genes Parental Control vs F4 fertile Related to Fig.
4C
Data S8: Enrichment Analysis Parental Control vs F4 fertile– DAF16/FoxO class1
Related to Fig. 4D
Data S9: Enrichment Analysis Parental Control vs F4 fertile– TGFb Related to Fig.
4D
Data S10: Enrichment Analysis Parental Control vs F4 fertile– 5HT_tph1mut
Related to Fig. 4D
Data S11: Enrichment Analysis Parental Control vs F4 fertile–
AMPK_aak2mutdown Related to Fig. 4D
Data S12: Enrichment Analysis F4 fertile vs F4 sterile – DAF16/FoxO class1 Related
to Fig. S3
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10.1073_pnas.2301985120.pdf
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Data, Materials, and Software Availability. Cryo-EM density maps of the
KCNQ1 channel with the voltage sensor in the up, intermediate, and down
conformation have been deposited in the electron microscopy data bank under
accession codes EMD-40508 (70), EMD-40509 (71), and EMD-40510 (72),
respectively. Atomic coordinates of the KCNQ1 channel with the voltage sen-
sor in the up, intermediate, and down conformation have been deposited in
the protein data bank under accession codes 8SIK (73), 8SIM (74), and 8SIN
(75), respectively.
| null |
RESEARCH ARTICLE |
BIOCHEMISTRY
OPEN ACCESS
The membrane electric field regulates the PIP2-binding site to
gate the KCNQ1 channel
Venkata Shiva Mandalaa,b and Roderick MacKinnona,b,1
Edited by David Clapham, HHMI, Ashburn, VA; received February 3, 2023; accepted April 13, 2023
Voltage-dependent ion channels underlie the propagation of action potentials and
other forms of electrical activity in cells. In these proteins, voltage sensor domains
(VSDs) regulate opening and closing of the pore through the displacement of their
positive-charged S4 helix in response to the membrane voltage. The movement of S4
at hyperpolarizing membrane voltages in some channels is thought to directly clamp
the pore shut through the S4–S5 linker helix. The KCNQ1 channel (also known as
Kv7.1), which is important for heart rhythm, is regulated not only by membrane
voltage but also by the signaling lipid phosphatidylinositol 4,5-bisphosphate (PIP2).
KCNQ1 requires PIP2 to open and to couple the movement of S4 in the VSD to
the pore. To understand the mechanism of this voltage regulation, we use cryogenic
electron microscopy to visualize the movement of S4 in the human KCNQ1 channel
in lipid membrane vesicles with a voltage difference across the membrane, i.e., an
applied electric field in the membrane. Hyperpolarizing voltages displace S4 in such
a manner as to sterically occlude the PIP2-binding site. Thus, in KCNQ1, the voltage
sensor acts primarily as a regulator of PIP2 binding. The voltage sensors’ influence on
the channel’s gate is indirect through the reaction sequence: voltage sensor movement
→ alter PIP2 ligand affinity → alter pore opening.
KCNQ1 channel | Kv7.1 channel | voltage sensor | cryo-EM | membrane potential
Voltage sensor domains (VSDs) are integral membrane proteins that undergo conforma-
tional changes in response to voltage differences across the cell membrane. These domains
regulate pore opening and closing in voltage-dependent ion channels (1) and enzymatic
activity in voltage-dependent phosphatases (2). Voltage sensors have a conserved structure
consisting of four transmembrane (TM) helices (S1 to S4) that form a helical bundle
(3–6). The fourth helix, S4, contains a repeated sequence of positive-charged amino acids
(typically arginines), every third residue that confers sensitivity to voltage. Inside the lipid
bilayer, a gating charge transfer center, composed of aspartate, glutamate, and phenylala-
nine residues, stabilizes the arginines one at a time as they traverse the hydrophobic core
of the membrane (7, 8). The movement of S4 in response to the TM voltage difference
is ultimately responsible for the regulation of protein activity. This mechanism underlies
the action potential in neurons (1, 9) and the initiation of muscle contraction (4, 10),
among other cellular processes.
While the structure of a VSD is highly conserved across all voltage-dependent ion
channels, there are two configurations for VSD attachment to the pore of the channel
(formed by the S5 and S6 helices). In the so-called domain-swapped channels (Fig. 1A),
which include voltage-dependent K+ (Kv) channels 1 to 9, Na+ (Nav) channels, Ca2+ (Cav)
channels, and most transient receptor potential channels, the VSD of one subunit interacts
with the pore domain of an adjacent subunit, connected through a long interfacial helix—
the S4–S5 linker (7, 11–16). Meanwhile, in nondomain-swapped channels (Fig. 1A) such
as Kv10-12, Slo1, and hyperpolarization-activated cyclic nucleotide-gated (HCN) chan-
nels, the VSD contacts the pore domain of the same subunit through a short S4–S5 loop
(17–19). This naturally raises the question: how do the conserved VSDs mediate
voltage-dependent gating in these two sets of channels with different structures?
We have shown recently that in a nondomain-swapped channel Eag (Kv10.1) (20), the S4
helix on the cytoplasmic side forms an interfacial helix in the hyperpolarized (i.e., negative
voltage inside) conformation, which functions as a constrictive cuff around the pore, prevent-
ing it from opening. Domain-swapped channels already have an interfacial S4–S5 linker helix
that contacts the S6 helix in the depolarized (i.e., no applied or positive inside voltage) con-
formation (Fig. 1A) (7, 16), suggesting a gating mechanism that is distinct from that in
nondomain-swapped channels. In domain-swapped channels, it has been proposed that the
displacement of S4 in response to a hyperpolarizing potential moves the S4–S5 linker helix
into a position that clamps the pore shut by pushing down on the S6 helical bundle (7, 16).
Structures of domain-swapped channels in detergent micelles at zero mV with chemical
Significance
Voltage-gated ion channels
underlie electrical signaling in
cells. The structures and
functions of voltage-dependent
K+, Na+, and Ca2+ and transient
receptor potential ion channels
have been studied extensively
since their discovery. Despite
these efforts, it is still not well
understood how the voltage
sensors in these different ion
channels change their
conformation in response to
membrane voltage changes, and
how these movements regulate
the opening or closing of the
channel’s gate. This study
presents structures of the human
KCNQ1 (Kv7.1) voltage–
dependent and
phosphatidylinositol
4,5-bisphosphate (PIP2)-
dependent K+ channel in
electrically polarized lipid vesicles
using cryogenic electron
microscopy, showing how the
voltage sensors influence gating
indirectly by regulating the ability
of PIP2 to bind to the channel.
Author affiliations: aLaboratory of Molecular Neuro-
biology and Biophysics, The Rockefeller University, New
York, NY 10065; and bHHMI, The Rockefeller University,
New York, NY 10065
Author contributions: V.S.M. and R.M. designed research;
V.S.M. performed research; V.S.M. and R.M. analyzed data;
and V.S.M. and R.M. wrote the paper.
The authors declare no competing interest.
This article is a PNAS Direct Submission.
Copyright © 2023 the Author(s). Published by PNAS.
This open access article is distributed under Creative
Commons Attribution License 4.0 (CC BY).
1To whom correspondence may be addressed. Email:
mackinn@rockefeller.edu.
This article contains supporting information online at
https://www.pnas.org/lookup/suppl/doi:10.1073/pnas.
2301985120/-/DCSupplemental.
Published May 16, 2023.
PNAS 2023 Vol. 120 No. 21 e2301985120
https://doi.org/10.1073/pnas.2301985120 1 of 12
cross-links, toxins, mutations, and metal affinity bridges thought to
mimic the hyperpolarized condition are supportive of this mecha-
nism (21–27). Here, we present a cryo-EM analysis of the
domain-swapped human KCNQ1 (Kv7.1) channel in lipid mem-
brane vesicles with a hyperpolarizing voltage generated across the
membrane, illustrating—at least in some domain-swapped chan-
nels—a different gating mechanism than previously thought.
Results
The Rationale for Polarizing KCNQ1. The KCNQ1 Kv channel, also
known as Kv7.1, is the pore-forming subunit of the slow delayed
rectifier potassium channel (IKS) (28, 29) that plays an important
role in the repolarization phase of cardiac action potentials (30, 31).
Mutations in the kcnq1 gene are associated with several congenital
cardiac diseases, including long and short QT syndromes as well as
familial atrial fibrillation (32). Importantly, KCNQ1 and other Kv7
members are regulated both by membrane voltage and the signaling
lipid phosphatidylinositol 4,5-bisphosphate (PIP2) (33–36). The
voltage sensors close the channel at hyperpolarizing membrane
voltages, while PIP2 is required for the channel to open. When
PIP2 is depleted in the membrane, such as when phospholipase C is
activated through stimulation of Gq-coupled receptors (34, 37), the
voltage sensors undergo voltage-dependent conformational changes,
but the pore does not open at depolarizing voltages (38, 39). PIP2
is thus thought to be required for the coupling of voltage sensor
movements to pore opening. In other words, KCNQ1 is thought
to act as a ligand-regulated voltage-dependent channel, where the
binding of PIP2 allows the channel to be gated by the membrane
potential.
In the absence of PIP2 at zero mV, we would expect a closed pore
and depolarized voltage sensors, which is exactly the KCNQ1 struc-
ture observed in detergent micelles (12, 40). If we now apply a
hyperpolarizing voltage across the membrane, the pore should
remain closed, but the voltage sensors should adopt the polarized
conformation. Because in this circumstance the voltage sensors do
not have to perform mechanical work to close the pore, it should
be easier to move the voltage sensors when the pore is already closed
(due to the absence of PIP2). We note that we exclude the KCNE
beta subunits (41) in this study because they are known to modify
the voltage sensitivity of KCNQ1 and thus could trap the voltage
sensor in a specific conformation (for instance, KCNE3 appears to
stabilize the depolarized conformation) (40, 42).
KCNQ1 Reconstitution and Polarization. The human KCNQ1
channel was purified as a complex with the structurally obligate
subunit calmodulin (40, 43) in the presence of Ca2+ and
reconstituted into liposomes composed of 90: 5: 5 1-palmitoyl-2-
Fig. 1. Structures of voltage-dependent ion channels and the preparation of unpolarized and polarized KCNQ1 (Kv7.1) proteoliposomes. (A) The two domain
arrangements in voltage-dependent ion channels. Channels are shown with α-helix cylinders and one of the four subunits colored blue and the S4–S5 linker
colored red. In domain-swapped channels (Left), the VSD of one subunit interacts with the pore domain of an adjacent subunit and is connected to the pore domain
through a long interfacial helix––the S4–S5 linker (red). The structure of Kv1.2 paddle chimera (PDB ID: 2R9R) (7) is shown as an example. In nondomain-swapped
channels (Right), the VSD interacts with the pore domain of the same subunit through a short S4–S5 loop. The Eag channel (PDB ID: 8EOW) (20) is shown here as
an example. (B) Schematic of the protocol used to obtain polarized vesicles for cryo-EM analysis. Kv7.1 is reconstituted into liposomes with symmetrical KCl, and
valinomycin (val.) is added to mediate K+-flux. The external KCl is exchanged for NaCl using a buffer-exchange column. Potassium efflux through valinomycin
generates a potential difference across the membrane such that the inside of the vesicle is negative with respect to the outside. Unpolarized and polarized
vesicles containing Kv7.1 were frozen on a holey carbon grid for structure determination. (C) Two-dimensional class-averages of membrane-embedded Kv7.1 in
unpolarized (Left) and polarized (Right) vesicles from cryo-EM. (D) Liposome-based flux assay to test polarization of vesicles. Recordings (n = 5, mean ± SD) were
made using empty vesicles (black) or vesicles with Kv7.1 (blue). Addition of the H+-ionophore CCCP allows entry of protons, which is detected by quenching of
the fluorescent reporter ACMA. Protons enter when the K+ ionophore valinomycin is added.
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oleoyl-sn-glycero-3-phosphocholine (POPC) to 1-palmitoyl-2- oleoyl-
sn-glycero-3-phosphoglycerol (POPG) to cholesterol [wt: wt: wt] with
300 mM KCl (SI Appendix, Fig. S1 A and B). Following our work on
Eag (20), valinomycin was added to the vesicles and the extravesicular
solution was exchanged to 300 mM NaCl using a buffer-exchange
column (Fig. 1B). The valinomycin-mediated K+-efflux generates
a membrane voltage with an upper limit of about −145 mV, such
that the inside is negative with respect to the outside. These polarized
vesicles were immediately applied to a holey carbon grid and frozen
for cryogenic electron microscopy (cryo-EM) analysis (Fig. 1C and
SI Appendix, Fig. S1C). Grids for an unpolarized control lacking the
buffer exchange step (i.e., with symmetric 300 mM KCl) were also
prepared.
The permeability of these KCNQ1-containing liposomes to
small ions was tested using a liposome flux assay (Fig. 1D) (44).
The vesicles prepared in 300 mM KCl (without valinomycin) were
diluted into a buffer with a fluorescent dye, 9-amino-6-chloro-2-
methoxyacridine (ACMA), and isotonic NaCl to generate a K+ gradient.
The proton ionophore carbonyl cyanide m-chlorophenylhydrazone
(CCCP) was added to allow H+ influx, which leads to quenched
ACMA fluorescence. Without valinomycin, no flux was detected,
consistent with the channel being tightly closed under these con-
ditions. Subsequent addition of the K+-selective ionophore valino-
mycin gave rise to rapid quenching of ACMA in both KCNQ1
proteoliposomes and in control liposomes without protein
(Fig. 1D), indicating that the valinomycin-generated membrane
potential is stable for at least a few minutes.
Identification of Three Structural Classes in the Polarized
Dataset. We collected large cryo-EM datasets on polarized
and unpolarized vesicles using the same microscope, and the
structures of KCNQ1 in both were determined using single-
particle analysis (SI Appendix, Figs. S2–S4 and Table S1). As
we found for the Kv channel Eag, channels were reconstituted
exclusively in an inside-in orientation and thus, when polarized,
experience hyperpolarizing (i.e., negative inside) potentials under
the applied electric field (Fig. 1C). After two rounds of three-
dimensional (3D) classification to select for the best subset of
particles in each dataset, we carried out 3D classification without
alignment with a mask on the TM domain while imposing C4
symmetry (SI Appendix, Fig. S2). The unpolarized dataset showed
little heterogeneity: 88% of the particles were in a homogeneously
“up” (detailed below) conformation that closely resembled the
detergent structure of KCNQ1, while the remaining particles
were in an indeterminate state. Meanwhile, the polarized dataset
was noticeably more heterogeneous, with only 34% of particles
in a homogeneously up conformation, 19% consistent with an
“intermediate” conformation, 10% consistent with a “down”
conformation, and the remaining indeterminate. Classification
without symmetry on a symmetry-expanded particle set showed
that these 34% of particles had all four voltage sensors in an up
conformation—suggesting that these channels are in vesicles
that have lost the ion gradient, and likely do not reflect the
distribution of voltage sensor states under the applied potential.
Similar classification on the remaining 66% of particles showed
classes with voltage sensors in different states, indicating that
the higher proportion of indeterminate particles in the polarized
dataset is due to a mixture of conformations. In summary, the
observation of distinct structural classes for the voltage sensor in
the polarized but not the unpolarized dataset indicates that these
conformational changes are likely caused by the application of
an electric field (the alternative being due to Na+ in the external
solution).
From the unpolarized dataset, the best up structure (C4-symmetric;
SI Appendix, Fig. S3) had an overall resolution of 2.9 Å (Fig. 2A and
SI Appendix, Fig. S4). We solved three structures from the polarized
dataset (SI Appendix, Figs. S3 and S4): C4-symmetric up and inter-
mediate structures with overall resolutions of 3.4 Å and 6.2 Å, respec-
tively, and a C1-symmetric down structure from a symmetry-expanded
particle set with an overall resolution of 6.8 Å. The up structures from
the unpolarized and polarized datasets are nearly identical (SI Appendix,
Fig. S5 A and B), so we focus on the better-resolved former structure.
We note that one interesting difference between the two up structures
regards the occupancy of K+ ions in the selectivity filter (SI Appendix,
Fig. S5 C and D). In the polarized sample, due to the low extravesic-
ular concentration of K+, density is only visible at the first and third
positions in the selectivity filter, while density is present at all four
positions in the unpolarized sample. Similar differences were observed
in our previous study on Eag (20) and are qualitatively consistent
with crystal structures of KcsA solved under symmetrical high and
low K+ concentrations (45).
The Up Conformation of the Voltage Sensor. The up map is best
defined in the TM domain, with local resolution estimates of
~2.4 to 2.8 Å for much of S1 through S6 (SI Appendix, Fig. S4D).
Density for individual hydrogen-bonded water molecules is
visible in the voltage sensor (SI Appendix, Fig. S6A). These
water molecules do not represent a bulk water-filled crevice,
but nevertheless undoubtedly contribute to the stabilization of
positive-charged residues (20). Tightly bound phospholipid and
sterol molecules (SI Appendix, Fig. S6B) are also visible at both
the outer and inner leaflets of the membrane. These features
are not discussed further in this paper but are highlighted to
demonstrate the feasibility of obtaining high-quality cryo-EM
reconstructions in lipid bilayers.
A structural model was built by fitting the detergent structure
of KCNQ1 (40) and making adjustments where needed (Fig. 2
B–D). The up structure in lipid bilayers is very similar to the
depolarized structure in detergent micelles. The S4–S5 linker is
an α-helix from I257 to G245 and a short loop (Q244 to D242)
connects the S4–S5 linker to S4 (Fig. 2D). The S4 is a 310 helix
from V241 to R237 and an α-helix from L236 to T224 (Fig. 2D).
The S3–S4 loop is partially flexible—with the four residues
(GQVF) in between K218 (top of S3) and A223 (top of S4) not
well defined—a point we shall return to later. The six
positive-charged residues in S4 are positioned as such (Fig. 2C):
R6 (R243) lies below the gating charge transfer center. H5 (H240)
occupies the gating charge transfer center consisting of F167 from
S2 and the negative-charged E170 and D202 from S2 and S3,
respectively. R4 (R237) is directly above the gating charge transfer
center and interacts with E160 in S2. Q3 (Q234), R2 (R231),
and R1 (R228) lie further toward the extracellular side of the
membrane. Q3 lies within the voltage sensor helical bundle, R2 is at
the periphery, and R1 is pointed toward the headgroups of the
phospholipid bilayer (Figs. 2C and 3 A–C).
The Down and Intermediate Conformations of the Voltage
Sensor. The intermediate and down maps are less well defined
due to heterogeneity, but clear differences in the main chain
compared to the up map (modeled in Fig. 3A) were used to
build partial models. We compare the down (Fig. 3 E and F)
and intermediate (Fig. 3D) maps to an up map that is filtered
to a comparable resolution (Fig. 3 B and C). Compared to the
up map, the down map shows a dramatic change in the bottom
half of S4, near the intracellular surface (Fig. 3 C and F and
Movie S1). At the intracellular surface, the loop connecting
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Fig. 2. Structure of KCNQ1 in lipid vesicles with the voltage sensor in the up conformation. (A) Cryo-EM density map of the up structure of the KCNQ1 channel
from the unpolarized dataset. Each channel subunit is shown in a different color and calmodulin (CaM) is shown in magenta. Bound lipids or sterols are shown as
gray density. (B) Structure of the KCNQ1–CaM complex (cartoon representation) showing domains within one monomer (blue) from the N- to C-terminus: voltage
sensor, pore domain, and the cytosolic domain. The other monomers are colored gray for clarity and the bound calmodulin is colored magenta. (C) Stereoview
of the KCNQ1 voltage sensor (Cα trace) in the up (depolarized) conformation. The six positive charges in S4 (α carbon marked by blue spheres), three negative
charges in S2 and S3 (E160, E170, and D202), and the hydrophobic Phe in S2 (F167, green sticks) are shown in stick-and-ball representation. (D) Stereoview of the
main chain in S4 and the S4–S5 linker (stick representation) in the up conformation. The α carbons of the six positive charges in S4 are marked by blue spheres.
Regions with different secondary structures are indicated: α-helix (green), 310 helix (cyan), and loop (magenta).
S4 to the S4–S5 linker helix becomes lengthened by eight or
nine amino acids. The lengthening occurs while the S4–S5
linker helix on the C-terminal side of W248, whose side chain
density is apparent even at the lower resolution of the down
map, remains unchanged in its position. Given that the S4–S5
linker helix does not move, the lengthened loop must result
from amino acids originating in the downward displacement
of the S4 helix and the four residues in the S3–S4 loop. The
density in the newly formed extended loop suggests that as S4
moves downward, it forms a broken helix ~30° relative to the
bilayer normal, and an extended loop (Fig. 3F and Movie S1).
On the extracellular side, the top of helical densities for both
S3 and S4 appears embedded about one turn below the
expected plane of the extracellular membrane surface, while a
short loop connecting them reaches to the extracellular surface
(Fig. 3 B and E).
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Fig. 3. Characterization of electric field–induced movements in the KCNQ1 voltage sensor. (A) Stereoview (Cα trace) of the voltage sensor in the up model.
For reference, the positions of the alpha carbons of the six positive charges in S4 are marked by blue spheres, that of K218 at the top of S3 is marked by a red
sphere, and that of W248 at the end of the S4–S5 linker is marked by a green sphere. F167 in S2, which is part of the gating charge transfer center, is shown in
magenta stick representation. (B and E) Stereoviews of the top part of S3 and S4 in the lowpass-filtered up model and map (unpolarized dataset, B) and in the
down model and map (polarized dataset, E). (C, D and F) Stereoview of the bottom part of S4 and the S4–S5 linker in the lowpass-filtered up model and map
(unpolarized dataset, C), intermediate (inter.) model and map (polarized dataset, D), and in the down model and map (polarized dataset, F). The up map was
lowpass filtered to 6.5 Å to facilitate comparison to the down and intermediate maps.
In the absence of side chain density, given the large conforma-
tional change in the position of S4 required to form the large loop
on the intracellular side, we could not build a model of this region
with certainty in the polypeptide register. We built two tentative
polyalanine models into the continuous main chain density, one
invoking a three helical turn displacement of S4 and the other
invoking a two helical turn displacement (SI Appendix, Fig. S7).
One and four helical turn models are incompatible with the
observed density. The three helical turn displacement, which
would place Q3-R6 below, R2 in, and R1 above the gating charge
transfer, more reliably accounts for density, but additional data
will be needed to establish this conclusion. We note at this point
that the mechanism presented in the current study (to be dis-
cussed) does not rely on modeling side chains or the detailed
register of the S4 helix, because the main chain movements we do
observe clearly interfere with the PIP2-binding site and thus
explain the basic mechanism of this channel’s gating.
In contrast to the down structure, the intermediate structure
largely preserves the secondary structure of the up conformation but
displays a ~4 Å downward displacement of the loop connecting S4
to the S4–S5 linker (Fig. 3 C and D). As in the down structure, the
S4–S5 linker helix does not move appreciably. Given that the motion
is likely to be a rigid body movement of S4, we included S4 sidechains
in the structural model of the intermediate conformation. The
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intermediate structure places R6 and H5 below the gating charge
transfer center; R4 in the gating charge transfer center; and Q3, R2,
and R1 above the gating charge transfer center.
In all three structures, the pore appears tightly closed, as
expected in the absence of PIP2 (SI Appendix, Fig. S8C). The pore
radius is ~1 Å at S349 in the up structure, which is notably smaller
than the radius of a hydrated K+ ion (~4 Å). While the side chain
of S349 is not visible in the intermediate and down maps, the
position of S6 is the same as in the up structure with a closed pore
and different from the PIP2-bound structure with an open pore
(SI Appendix, Fig. S8C), thus being consistent with a closed pore.
Discussion
The Relationship between Voltage Sensor Movements and PIP2
Binding. The three structures presented in this study delineate the
movement of the S4 helix in the KCNQ1 channel in response to
polarization, while the pore of the channel is closed in all the three
cases due to the absence of PIP2 in our preparation. The structure of
PIP2-bound KCNQ1 with an open pore and the voltage sensor in the
up conformation was already determined (40, 46, 47). By comparing
these structures, we can deduce how the voltage sensor movements
relate to PIP2 binding. The PIP2-binding site in KCNQ1 comprises
positive-charged and polar residues in the S4–S5 linker, S4 helix,
the S2–S3 foot, and the S0 helix (Fig. 4A, see also Fig. 2C). This
structure of the pocket is maintained when the pore of the channel is
open or closed as long as the voltage sensor is in the up conformation
(Fig. 4B). In other words, when the voltage sensor is up, PIP2 can
bind to this pocket and promote channel opening, as described
previously (33–36, 40). We note that all the structures of KCNQ1
solved in the presence of PIP2 show an open pore, but only some
also show a large conformational change in the cytoplasmic domain
(SI Appendix, Fig. S8 C–E) (40, 46). The relationship between the
two is not clear, but it is apparent that PIP2-binding causes the pore
to open, which is what we focus on here.
Overlays of the intermediate (Fig. 4C) and down (Fig. 4D) volt-
age sensor conformations with the PIP2-bound, voltage sensor up
conformation show that the PIP2-binding site is reshaped when S4
moves. The position of S4 in the down conformation sterically
occludes the PIP2-binding site altogether (Fig. 4D). Thus, while the
voltage sensor is in the down conformation, PIP2 cannot bind to
the channel and open the pore. In the intermediate conformation,
the residues that bind PIP2 are displaced relative to one another due
to the movement of S4 (Fig. 4C). This intermediate conformational
change would likely alter the affinity of the PIP2-binding site, but
it might not definitively preclude the binding of PIP2.
Voltage-Dependent Regulation of PIP2 Binding in KCNQ1. A
mechanism for voltage-dependent regulation of KCNQ1 channel
activity thus follows (Fig. 5E). We have made a movie to visualize
the sequence of events (Movie S2). At hyperpolarized membrane
voltages (i.e., at the resting potential of a cell, corresponding to our
polarized vesicles), the voltage sensor is in the down conformation,
which prevents PIP2 from binding because the site is occluded.
Depolarization drives the S4 helix up, which is coupled to the
formation of the PIP2 binding site. PIP2 can then bind, which
causes the pore to open through an allosteric mechanism (40,
46, 47). In other words, KCNQ1 activity is modulated by a ligand
(PIP2), the binding of which is regulated by the voltage sensor.
This is different in detail from a mechanism in which the binding
of PIP2 permits voltage sensor conformational changes to regulate
the pore through direct mechanical coupling (Fig. 5E).
This voltage-dependent regulation of PIP2-binding mechanism
is compatible with electrophysiological studies of KCNQ channels,
Fig. 4. The relationship between voltage sensor movements and PIP2 binding.
(A) Stereoview (gray Cα trace) of the PIP2-bound structure of KCNQ1 (PDB ID:
6V01) (40) with the voltage sensor in the up conformation and an open pore.
Positive-charged and polar residues that interact with PIP2 are labeled and
shown as gray sticks (α carbon marked by gray spheres) and PIP2 is shown
as yellow sticks. (B) Stereoview of the PIP2-free structure of KCNQ1 with the
voltage sensor in the up conformation and a closed pore (blue Cα trace) and
the PIP2-bound structure shown in panel A (gray Cα trace). (C) Stereoview of
the PIP2-free structure of KCNQ1 with the voltage sensor in the intermediate
conformation and a closed pore (magenta Cα trace) and the PIP2-bound
structure shown in panel A (gray Cα trace). (D) Stereoview of the PIP2-free
structure of KCNQ1 with the voltage sensor in the down conformation and a
closed pore (green Cα trace) and the PIP2-bound structure shown in panel A
(gray Cα trace). In panels (B–D), the α carbon positions of the PIP2-interacting
residues are shown as spheres in the same color as the α carbon trace.
which show that voltage sensor movements slightly precede pore
opening (48, 49), that PIP2 is required for activity (33–36), and
that in the absence of PIP2, the voltage sensors move but the pore
does not open (38). Moreover, if the voltage sensors were to perform
work directly on the pore to open it, and if PIP2 was required for
this coupling, one would expect a shift in the voltage activation
midpoint (i.e., as measured by the movement of S4) depending on
whether PIP2 is bound or not. But, the movement of S4 happens
at the same membrane voltage whether PIP2 is present in the mem-
brane or not (38), suggesting that the voltage sensors do not perform
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Fig. 5. The structure of S4 and the S4–S5 linker of Kv7.1 (KCNQ1) and Kv2.1 determined in lipid vesicles. (A) Sequence alignment of S4 and the S4–S5 linker for all
domain-swapped Kv channel families. All members of the Kv7 family are included for comparison to Kv7.1. Residues conserved across all families are highlighted in blue.
(B) Cryo-EM density map of the human Kv2.1 channel determined in lipid vesicles. Each channel subunit is shown in a different color and associated lipids or sterols
are shown as gray density. (C and D) Stereoviews of the connection between S4 and the S4–S5 linker (stick representation) in the depolarized conformations
of Kv7.1 (C) and Kv2.1 (D) overlaid with cryo-EM density (blue mesh). (E) Cartoons depicting the new gating model (Top) and the old gating model (Bottom) for
KCNQ1. The pore domain is colored orange, the voltage sensor is gray, the S4 helix is blue, the S4–S5 linker is green, and PIP2 is depicted as a magenta hexagon.
In the new model, the voltage sensor regulates the binding of PIP2 by occluding the binding site in the down conformation (Left). When membrane depolarization
occurs, the voltage sensor moves to the up conformation (Middle), which then allows PIP2 to bind to the channel and open the pore (Right). In the old model that
is inconsistent with our data, a PIP2-binding site is present in the down conformation, allowing PIP2 to bind to the channel.
work on the pore at depolarized potentials to open it. Finally, voltage
clamp fluorometry using a reporter on the S3–S4 linker shows two
components: a larger fluorescence change that has a midpoint of
~−60 mV and a smaller change in fluorescence with a midpoint of
~30 mV (50, 51). The pore begins to open during the first (more
negative voltage) fluorescence change, which has led to the proposal
that there are two open states of the channel. These observations
could be related to the intermediate and up voltage sensor confor-
mations that we observe.
Unique Features of the KCNQ1 Voltage Sensor. KCNQ1 is
unique among domain-swapped Kv channels in its requirement
of PIP2 to open. To this point, a comparison of the KCNQ1
structure to that of a different domain-swapped Kv channel is
informative. A primary sequence alignment from S4 through the
S4–S5 linker for the Shaker channel, one member from each of the
domain-swapped Kv channel families (Kv1-9), and other members
of the Kv7 (KCNQ) family, is given in Fig. 5A. Stereoviews of the
S4 to S4–S5 helix linker connection along with cryo-EM density
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are shown for the depolarized structures of Kv7.1 (Fig. 5C, see also
Fig. 2D) and human Kv2.1 (52), both in lipid vesicles (Fig. 5D).
The Kv2.1 structure was determined to an overall resolution of
3.0 Å (Fig. 5B and SI Appendix, Fig. S9). An important difference
between Kv7.1 and Kv2.1 becomes apparent at the junction of S4
and the S4–S5 linker. In KCNQ1, these residues form a helix–
loop–helix motif, with three flexible amino acids (G245, G246,
and T247) in or adjacent to the loop. Meanwhile, in Kv2.1, the
junction is a helix–turn–helix motif. In other words, Kv7.1 has
a natural propensity to form a loop in this region, which is not
shared by the domain-swapped channel Kv2.1. The S4 movement
that we observe in the intermediate and down conformations
is centered exactly at this flexible “GGT” motif. Moreover, this
motif (and in fact, most of the S4–S5 linker) is conserved among
Kv7 family members but is absent in other domain-swapped Kv
channels (Fig. 5A), indicating that it is a hallmark of the PIP2-
gated KCNQ channels. Whether Shaker-related channels under
an applied electric field undergo similar or distinct voltage sensor
movements compared to KCNQ1 remains to be seen.
Implications for Other Voltage-Dependent Channels. In
KCNQ1, membrane polarization causes the S4 helix to displace
by one helical turn (~5 Å) in the intermediate structure and
most likely three helical turns (~15 Å) in the down structure, but
the S4–S5 linker helix does not move appreciably (SI Appendix,
Fig. S8A). One might argue that this is because the pore is closed
due to the lack of PIP2. But, structures of KCNQ1 with an open
pore are known (40, 46), and the S4–S5 linker helix occupies
a similar position in those as well (SI Appendix, Fig. S8B). This
finding suggests that the position of the S4–S5 linker helix is
not strictly coupled to pore opening and closing in the KCNQ1
channel. It is still possible that small movements in the S4–S5
linker bias the conformational state of the pore, but S4–S5 helix
movements are minimal when the S4 helix is displaced.
What does this static S4–S5 helix in KCNQ1, if anything, suggest
for other domain-swapped channels like Shaker-related Kv channels,
Nav, or Cav channels? When the first molecular structure of a eukar-
yotic voltage-dependent ion channel—the Shaker-related Kv1.2—
was determined (16), the S4–S5 linker was found to contact S6
directly. A simple mechanical model for voltage-dependent regula-
tion of the pore was proposed: When S4 moves in response to an
electric field, the amino terminal end of the S4–S5 linker is displaced,
applying a force on S6 and causing pore closure through straighten-
ing of the S6 helix at a conserved “PxP” motif (53). Many years later,
structures of chemically cross-linked or trapped Nav channels (21,
24, 25) and metal bridge–linked Kv4.2 channels (26) showed that
it is indeed possible to trap channels in conformations consistent
with the simple mechanical model. We observe in the present study,
however, that KCNQ1 does not function according to this model.
While KCNQ1
is an outlier among domain-swapped
voltage-dependent channels for the reasons discussed above, we
remain open minded to the possibility that the simple mechanical
model assumed for other domain-swapped voltage-dependent ion
channels (16, 21, 24, 25), despite support from mutational and
chemical crossbridge data, could be incorrect. Mutations and chem-
ical crossbridges likely do not replicate the forces applied to a polar-
ized voltage sensor in membranes because an electric force field acts
on all charged atoms spread throughout the protein. Ultimately, to
know whether the simple mechanical model is correct for other
domain-swapped channels, we will need to determine their structures
in lipid bilayers with an applied electrostatic force field.
Comparison of Voltage Sensor Movements in EAG and KCNQ1.
We now know how the voltage sensors in two potassium channels,
KCNQ1 (domain-swapped) and Eag (nondomain-swapped) (20),
undergo conformational changes in response to an applied voltage
difference across the membrane. For comparison, side views of
the voltage sensors in these channels are shown in Fig. 6. In both
channels, as S4 displaces downward (i.e., toward the cytoplasm),
an extended interfacial segment is formed through a break in S4,
which is accompanied by a remodeling of the connection between
S4 and the S4–S5 linker helix (KCNQ1; Fig. 6A) or S4 and S5
(Eag; Fig. 6B) (20). Apparently, because S4 is both charged and
hydrophobic, an interfacial location is energetically more favorable
than an aqueous location. The extra amino acids that account for
the downward displacement of S4 originate from the S3–S4 linker
and the top of S3 in both channels.
While the S4 displacement and interfacial helix formation are
similar in KCNQ1 and Eag, the helices bend in opposite direc-
tions with respect to the pore. In Eag, the polarized S4 bends
toward the pore axis, causing it to clamp down on the pore-lining
S6 helix, which prevents pore opening (Fig. 6B) (20). In KCNQ1,
the polarized S4 bends away from the pore axis so that it occludes
the PIP2-binding site. These variations show how the same struc-
tural element—a voltage sensor—confers conformational sensi-
tivity to an electric field in two Kv channels that differ both in
their voltage sensor configuration (i.e., domain-swapped versus
nondomain-swapped) and in their modulation by other effectors.
Future studies of other voltage-dependent ion channels might
uncover other interesting mechanisms for coupling the movement
of S4 to gating the pore.
On the Magnitude of S4 Displacement in KCNQ1. As we state
above, our inability to define the register of the S4 helix main
chain (SI Appendix, Fig. S7) prevents us from distinguishing with
certainty whether the down map, with its occluded PIP2-binding
site, corresponds to a two or three helical turn displacement of
S4. A two-turn displacement was anticipated because that is what
we observed in a polarized Eag channel (20), and what has been
seen in cross-linked Nav and HCN voltage sensors (21, 23–25).
Moreover, if S4 can displace three helical turns, it must pass
through a two-turn-displaced intermediate. Why then would we
not observe this intermediate? A possible answer lies in the unique
S4 sequence of KCNQ1, which contains a neutral glutamine at
“charged” position 3 (Fig. 5A). A two helical turn displacement
would place the neutral glutamine into the highly negative-
charged gating charge transfer center (Fig. 2C). For this reason,
conformations with one or three helical turn displacements (which
both place an arginine in the gating charge transfer center) may
be energetically more stable in KCNQ1 than a conformation with
two. If this is the case, a two helical turn displacement would
function as a transient energy barrier in the conformational change
of the voltage sensor.
The notion that different residues are stable to varying degrees
when they occupy the gating charge transfer center is apparent
from functional measurements in other voltage-dependent ion
channels. For instance, in the Shaker channel, it has been shown
that it is more favorable for a lysine than an arginine to occupy
the gating charge transfer center (8). Depending on the position
of the substitution within the S4 helix, either the open or the
closed state of the channel can be stabilized (corresponding to an
up or down conformation of the voltage sensor). Given that even
two positive-charged residues, arginine or lysine, can differ in their
relative stability, it seems quite possible that a neutral glutamine
behaves differently than an arginine.
It is also useful to look at another example: Consider the
Shaker channel and the domain-swapped channel Kv2.1
(Fig. 5A). Both have lysine at the fifth position (K5) in the gating
8 of 12 https://doi.org/10.1073/pnas.2301985120
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Fig. 6. Comparison of voltage sensor movements in KCNQ1 and Eag. (A and B) Stereoviews of KCNQ1 (A) and Eag (B) showing the up conformation (Left, red
S4) and the down conformation (Right, blue S4). The view looks through one voltage sensor in each channel toward the pore axis. The approximate position of
the lipid membrane bilayer is marked by yellow lines and the protein is shown in Cα trace representation.
charge transfer center. In Shaker, all four residues above the
gating charge transfer center are arginines, while Kv2.1 has a
glutamine at position one (Q1) followed by three arginines. The
gating charge estimated by nonlinear membrane capacitance for
Shaker is ~12 to 14 elementary charges per channel (~3 to 3.5
per voltage sensor) and that for Kv2.1 is only ~6 to 7 per channel
(~1.5 to 2 per voltage sensor) (54, 55). The gating charge esti-
mates for Shaker indicate that the first residue (R1) does not
traverse the membrane potential. Yet the presence of a neutral
glutamine at the first position in Kv2.1 reduces the apparent
gating charge in half. We suppose that in the down conformation
of Kv2.1, there is a tendency for R2 to neutralize the extracellular
negative-charged residue while R3 occupies the gating charge
transfer center, consistent with the net movement of ~2 gating
charges. These observations are consistent with the idea that it
is more favorable for an arginine (compared to a glutamine) to
interact with negative-charged residues in the voltage sensor.
In summary, this study provides the structural description of a
domain-swapped Kv channel in a lipid bilayer under the influence
of a polarizing electric field. The structures reveal a mechanism in
which the voltage sensor regulates the affinity of PIP2, thus con-
trolling its ability to gate the pore.
Materials and Methods
Cell Lines. Sf9 (Spodoptera frugiperda Sf21) cells were used for production of
baculovirus and were cultured in Sf-900 II SFM medium (GIBCO) supplemented with
100 U/mL penicillin and 100 U/mL streptomycin at 27 °C under atmospheric CO2.
HEK293S GnTl− cells were used for protein expression and were cultured in
Freestyle 293 medium (GIBCO) supplemented with 2% fetal bovine serum, 100
U/mL penicillin, and 100 U/mL streptomycin at 37 °C in 8% CO2.
Expression and Purification of the KCNQ1–Calmodulin Complex. The
KCNQ1(Kv7.1)–calmodulin complex (hereby referred to as KCNQ1) was expressed
and purified as described before (40), with slight modifications. We used a con-
struct corresponding to human KCNQ1 with N-terminal and C-terminal trunca-
tions, leaving residues 76 to 620. The construct was cloned into the BacMan
expression vector with a C-terminal green fluorescent protein (GFP)-His6 tag
linked by a preScission protease (PPX) site (56). A separate BacMan expression
vector without a tag was used for vertebrate calmodulin (CaM).
Bacmids were generated for KCNQ1 and CaM using DH10Bac Escherichia coli
cells. Baculoviruses for KCNQ1 and CaM were produced in SF9 cells transfected
with bacmid DNA using the Cellfectin II reagent (Invitrogen). Baculovirus was
amplified three times in suspension cultures of SF9 cells grown at 27 °C. Four
liters of suspension cultures of HEK293S GnTI- at ~3 × 106 cells/mL were infected
with 12% (v/v) of 5:1 KCNQ1:CaM baculovirus at 37 °C for ~8 h. Protein expres-
sion was induced by adding 10 µM sodium butyrate, and the incubation tem-
perature was changed to 30 °C for the duration of expression. Cell pellets were
harvested ~48 h after induction and flash frozen in liquid nitrogen for later use.
Four liters of cell pellet were resuspended in ~100 mL of lysis buffer (25 mM
Tris pH 8.0, 300 mM KCl, 1 mM MgCl2, 5 mM CaCl2, 2 mM dithiothreitol (DTT),
1 µg/mL leupeptin, 1 µg/mL pepstatin, 1 mM benzamidine, 1 µg/mL aprotinin,
1 mM phenylmethylsulfonyl fluoride, 1 mM 4-(2-aminoethyl) benzenesulfo-
nyl fluoride, and 0.1 mg/mL DNase), stirred for 10 min at 4 °C, and Dounce
homogenized with a loose pestle till homogenous. The resultant suspension
was clarified by centrifugation at 39,800 × g for 15 min at 4 °C. The pellet was
resuspended in ~100 mL of lysis buffer and Dounce homogenized with a tight
PNAS 2023 Vol. 120 No. 21 e2301985120
https://doi.org/10.1073/pnas.2301985120 9 of 12
pestle. To extract the KCNQ1–CaM complex, we added 15 mL of a 10%:2% n-no-
decyl-β-D-maltopyranoside (DDM):cholesteryl hemisuccinate (CHS) mixture and
stirred for 1 h at 4 °C.
The mixture was clarified by centrifugation at 39,800 × g for 30 min at 4 °C.
The supernatant was bound to ~2.5 mL GFP nanobody-coupled Sepharose resin
(prepared in-house) (57) in a 250-mL conical centrifuge tube (Corning) by gentle
rotation for 1 h at 4 °C. The resin was transferred to a glass gravity flow column
(Bio-Rad) and washed with ~30 column volumes of wash buffer (10 mM Tris pH
8.0, 300 mM KCl, 0.05%:0.01% DDM:CHS, 1 mM CaCl2, and 2 mM DTT). The
resin was resuspended in five column volumes of wash buffer, PPX (prepared
in-house) was added at a concentration of 0.05 mg/mL to remove the GFP tag,
and the solution was rotated for 1 h at 4 °C. The cleaved protein was collected in
the flow through and a subsequent wash step with five column volumes of wash
buffer. The protein was concentrated to ~500 µL at 3,000 × g and 4 °C using a
15-mL Amicon spin concentrator with a 100-kDa molecular weight cutoff mem-
brane. The concentrated protein was filtered through a Corning 0.2 µm spin filter
and then purified by size-exclusion chromatography (SEC) using a Superose 6
Increase column (10/300 GL) preequilibrated with SEC buffer (10 mM Tris pH 8.0,
300 mM KCl, 0.025%:0.005% DDM:CHS, 1 mM CaCl2, and 5 mM DTT). Fractions
containing hKCNQ1 and calmodulin (SI Appendix, Fig. S1 A and B) were pooled
and concentrated to an A280 of 3.8 mg/mL at 3,000 × g and 4 °C using a 4-mL
Amicon spin concentrator with a 100-kDa molecular weight cutoff membrane.
Purified protein was immediately used for reconstitution into liposomes.
Reconstitution of the KCNQ1–Calmodulin Complex and Cryo-EM Grid
Preparation. The purified KCNQ1 complex was reconstituted into liposomes con-
sisting of 90%: 5%: 5% POPC:POPG:cholesterol (wt: wt: wt, Avanti Polar Lipids) (20).
The phospholipids and sterol were mixed together in chloroform at a concentration of
10 mg/mL. Ten milligrams of the lipid mixture were dried to a thin film in a screw-top
glass tube under a gentle stream of argon. The lipid film was further dried for ~3
h in a room-temperature vacuum desiccator, and then resuspended at a concentra-
tion of 10 mg/mL by gentle vortexing in reconstitution buffer (10 mM Tris pH 8.0,
300 mM KCl and 1 mM DTT). Small unilamellar vesicles (SUVs) were formed by bath
sonication (Branson Ultrasonics M1800) at room temperature till the solution was
mostly transparent (A400 ~ 0.2), which typically took ~40 min. To permeabilize but
not solubilize the lipid vesicles, the detergent C12E10 was added to the 10 mg/mL
lipid stock solution to a final concentration of 2 mg/mL (5:1 lipid:detergent, wt/wt)
and incubated on ice for ~15 min. Two hundred microliters of this permeabilized
vesicle solution was mixed with 27 µL of the purified KCNQ1 complex (3.8 mg/
mL) and 173 µL of reconstitution buffer, giving a total reaction volume of 400 µL
(chosen to ensure proper mixing in a 1.5 mL Eppendorf tube), a protein:lipid ratio of
1:20 (wt/wt), and a final lipid concentration of 5 mg/mL. The lipid–protein–detergent
mixture was incubated on ice for ~1.5 h. Detergent was removed using adsorbent
Bio-Beads SM-2 resin (Bio-Rad) by adding 20 mg of a 50% (wt/vol) Bio-Beads slurry
in reconstitution buffer and rotating at 4 °C for ~14 h. The biobeads procedure was
repeated twice again for 3 h each at 4 °C to ensure complete removal of detergent.
The suspension was bath sonicated briefly (twice for 10 s each) after the biobeads
step to minimize vesicle clumping.
Polarized and unpolarized vesicles were prepared from the same batch of
proteoliposomes. From an 8 mM stock in dimethyl sulfoxide, 2 µM valinomycin
was added to the proteoliposomes and incubated for 30 min on ice. Polarized
vesicles were prepared as follows: 70 µL of the above solution was added to a
0.5-mL Zeba spin desalting column (40 kDa cutoff, Thermo Scientific), preequili-
brated with sodium reconstitution buffer (10 mM Tris pH 8.0 and 300 mM NaCl),
to exchange the external K+ for Na+. The sample was centrifuged for ~20 to 30 s
at room temperature at 1,500 × g and ~20 µL of flow-through containing vesicles
was collected. The residual external K+ concentration is about 1 mM (20). Onto a
glow-discharged Quantifoil R1.2/1.3 400 mesh Au grid, 3.5 µL of the polarized
vesicle solution was immediately applied. The vesicle solution was incubated on
the grid for 3 min at 20 °C under a humidity of 100%. The grid was then manually
blotted from the edge of the grid using a piece of filter paper. Another 3.5 µL of
the polarized vesicle solution was applied to the same grid for 20 s (58), and then
the grid was blotted for 3 s with a blotting force of 0 and flash frozen in liquid
ethane using a FEI Vitrobot Mark IV (FEI). Each grid with polarized vesicles used
a freshly buffer exchanged sample. Grids for the unpolarized vesicles were frozen
by skipping the buffer exchange step, i.e., directly applying the proteoliposomes
(with valinomycin) on the Quantifoil grids.
Expression and Purification of Kv2.1. Full-length human Kv2.1 (NP_004966.1)
with a C-terminal GFP-His6 tag linked by a PPX site and full-length 14-3-3 protein
epsilon (empirically found to increase the yield of Kv2.1, XP_040497056.1) were
both cloned into a pBig1a vector from the biGBac system (59). Bacmids and
baculovirus were generated, and protein was expressed in HEK293S GnTI- cells
as described above for KCNQ1.
The channel (hKv2.1) was purified following essentially the same protocol as
KCNQ1 except that 150 mM KCl (instead of 300 mM KCl) was used for the wash
buffer and calcium chloride was not included after the lysis buffer step. The final
purification step entailed SEC on a Superose 6 Increase column (10/300 GL)
preequilibrated with SEC buffer (10 mM Tris pH 8.0, 150 mM KCl, 0.03%:0.006%
DDM:CHS, and 5 mM DTT). Fractions containing hKv2.1 (SI Appendix, Fig. S9A)
were pooled and concentrated to an A280 of 1.4 mg/mL at 3,000 × g and 4 °C.
Reconstitution of Kv2.1 and Cryo-EM Grid Preparation. Purified protein was
reconstituted into liposomes of 90%:5%:5% POPC:POPG:cholesterol prepared
in 150 mM KCl using a protein:lipid ratio of 1:20 (wt/wt), following the same
protocol as for KCNQ1. A fourfold-molar excess of hanatoxin (compared to hKv2.1
monomers) isolated from Chilean rose tarantula (Grammostola rosea) venom (60)
was incubated with the proteoliposomes before freezing grids, but the toxin was
not visible in the cryo-EM reconstructions. Grids were frozen exactly as described
for unpolarized vesicles containing KCNQ1 (but without added valinomycin).
Liposome Flux Assay. The flux assay was carried out as described before (44),
with minor modifications. The proteoliposome vesicles or control vesicles without
protein (subjected to a mock reconstitution) prepared in 300 mM KCl were diluted
10-fold in isotonic sodium buffer (10 mM Tris pH 8.0 and 300 mM NaCl) imme-
diately prior to the assay. Six microliters of the diluted vesicle solution was mixed
with 6 µL ACMA solution (10 mM Tris pH 8.0, 300 mM NaCl, and 5 mM ACMA)
and 12 µL buffer (10 mM Tris pH 8.0 and 300 mM NaCl). ACMA fluorescence was
recorded every 5 s (excitation wavelength = 410 nm, emission wavelength =
490 nm) using a 384-well plate (Grainger) on a fluorescence plate reader (Tecan
Infinite M1000). After the ACMA fluorescence stabilized, 6 µL of CCCP solution
(10 mM Tris pH 8.0, 300 mM NaCl, and 15 mM CCCP) was added. The resultant
KCNQ1-dependent flux, or in this case, the lack thereof because of the absence
of PIP2, was measured. At the end of the assay, 2 µL of a 1.2-µM valinomycin
solution (in 10 mM Tris pH 8.0 and trace dimethyl sulfoxide) was added to initiate
K+ efflux from all the vesicles and determine the minimum ACMA fluorescence.
The fluorescence data for each run were normalized by the fluorescence value
right before the addition of CCCP (i.e., at 90 s). The normalized data were averaged
across five independent measurements, and the mean and SDs are reported.
Cryo-EM Data Acquisition and Processing. Data for the polarized and unpo-
larized KCNQ1 liposomes were collected on the same microscope—a 300-keV
FEI Titan Krios2 microscope located at the HHMI Janelia Research Campus. The
microscope was equipped with a Gatan Image Filter (GIF) BioQuantum energy
filter and a Gatan K3 camera. A total of 33,057 movies (polarized sample) or
19,998 movies (unpolarized sample) were recorded on Quantifoil grids in super-
resolution mode using SerialEM (61). The movies were recorded with a physical
pixel size of 0.839 Å (superresolution pixel size of 0.4195 Å) and a target defocus
range of −1.0 to −2.0 µm. The total exposure time was ~2 s (fractionated into
50 frames) with a cumulative dose of ~60 e−/Å2.
The data-processing workflow is detailed in SI Appendix, Figs. S2 and S3, and
followed the same strategy we previously reported for Eag (20). Data processing
was carried out using cryoSPARC v3.3.1 (62) and RELION 4.0 (63). The super-
resolution movies were gain-normalized, binned by a factor of 2 with Fourier
cropping, and corrected for full-frame and sample motion using the Patch motion
correction tool (grid = 15 × 10). Contrast transfer function parameters were esti-
mated from the motion-corrected micrographs using the Patch CTF estimation
tool, which uses micrographs without dose weighting. All subsequent processing
was performed on motion-corrected micrographs with dose weighting. Particle
picking was initially carried out using the Blob picker. 2D classes with clear protein
density were used to train a TOPAZ picking model (64), which was used to pick
additional particles. Particles with clear protein density after 2D classification were
pooled and duplicate picks were removed. An ab initio model was generated
from 2D classes with clear secondary structure features, and 3D classification
and refinement was carried out either in cryoSPARC or RELION as detailed in
SI Appendix, Figs. S2 and S3.
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Data for the hKv2.1 liposomes were collected on a 300-keV FEI Titan Krios
microscope located at the HHMI Janelia Research Campus. The microscope
was equipped with a spherical aberration corrector (Cs corrector), a GIF
BioQuantum energy filter, and a Gatan K3 camera. A total of 17,007 movies
were recorded on a single Quantifoil grid in superresolution mode using
SerialEM. The movies were recorded with a physical pixel size of 0.844 Å
(superresolution pixel size of 0.422 Å) and a target defocus range of −1.0
to −2.0 µm. The total exposure time was ~2 s (fractionated into 50 frames)
with a cumulative dose of ~60 e−/Å2. Data processing was carried out as
described for KCNQ1 liposomes.
Model Building and Refinement. A structural model for the up conformation
was built by docking the structure of KCNQ1–CaM in detergent micelles (PDB ID:
6UZZ) (40) into the up map and making adjustments where needed. The model
was edited and refined using the ISOLDE (65) plugin in ChimeraX v1.2.0 (66) or
WinCoot v0.98.1 (67) followed by real-space refinement in Phenix (68). The down
and intermediate models were built starting from the up model. The up model
was initially fit in the intermediate or down maps as a rigid body using Phenix.
The S4 helix and the surrounding regions were manually adjusted and then a
final step of real-space refinement was carried out in Phenix. The quality of the
final models was evaluated using the MolProbity plugin in Phenix (SI Appendix,
Table S1). Graphical representations of models and cryo-EM density maps were
prepared using PyMOL (69) and ChimeraX.
Data, Materials, and Software Availability. Cryo-EM density maps of the
KCNQ1 channel with the voltage sensor in the up, intermediate, and down
conformation have been deposited in the electron microscopy data bank under
accession codes EMD-40508 (70), EMD-40509 (71), and EMD-40510 (72),
respectively. Atomic coordinates of the KCNQ1 channel with the voltage sen-
sor in the up, intermediate, and down conformation have been deposited in
the protein data bank under accession codes 8SIK (73), 8SIM (74), and 8SIN
(75), respectively.
ACKNOWLEDGMENTS. We thank Rui Yan, Zhiheng Yu, and the team at the
Howard Hughes Medical Institute Janelia CryoEM Facility for their effort in cryo-EM
microscope operation and data collection; Mark Ebrahim, Johanna Sotiris, and
Honkit Ng at the Evelyn Gruss Lipper Cryo-EM Resource Center for assistance with
cryo-EM grid screening; Yi Chun Hsiung for assistance with insect and mammalian
cell cultures; Dr. Chen Zhao and other members of the MacKinnon Lab for helpful
discussions; and Dr. Jue Chen and her group for their input. Dr. Chia-Hseuh
Lee carried out the cloning and initial biochemical characterization of the Kv2.1
channel. V.S.M. is supported by the Jane Coffin Childs Memorial Fund Fellowship.
R.M. is an investigator in the HHMI.
1.
2.
B. Hille, Ionic Channels of Excitable Membranes (Sinauer Associates, ed. 3, 2001) (January 27,
2023).
Y. Murata, H. Iwasaki, M. Sasaki, K. Inaba, Y. Okamura, Phosphoinositide phosphatase activity
coupled to an intrinsic voltage sensor. Nature 435, 1239–1243 (2005).
30. T. Jespersen, M. Grunnet, S.-P. Olesen, The KCNQ1 potassium channel: From gene to physiological
function. Physiology 20, 408–416 (2005).
31. J. Robbins, KCNQ potassium channels: Physiology, pathophysiology, and pharmacology. Pharmacol.
Ther. 90, 1–19 (2001).
3. M. Noda et al., Primary structure of electrophorus electricus sodium channel deduced from cDNA
32. P. L. Hedley et al., The genetic basis of long QT and short QT syndromes: A mutation update. Hum.
4.
5.
6.
7.
8.
9.
sequence. Nature 312, 121–127 (1984).
T. Tanabe et al., Primary structure of the receptor for calcium channel blockers from skeletal muscle.
Nature 328, 313–318 (1987).
B. L. Tempel, D. M. Papazian, T. L. Schwarz, Y. N. Jan, L. Y. Jan, Sequence of a probable potassium
channel component encoded at Shaker locus of Drosophila. Science 237, 770–775 (1987).
Y. Jiang et al., X-ray structure of a voltage-dependent K+ channel Nature 423, 33–41 (2003).
S. B. Long, X. Tao, E. B. Campbell, R. MacKinnon, Atomic structure of a voltage-dependent K+
channel in a lipid membrane-like environment Nature 450, 376–382 (2007).
X. Tao, A. Lee, W. Limapichat, D. A. Dougherty, R. MacKinnon, A gating charge transfer center in
voltage sensors. Science 328, 67–73 (2010).
A. L. Hodgkin, A. F. Huxley, A quantitative description of membrane current and its application to
conduction and excitation in nerve. J. Physiol. 117, 500–544 (1952).
Mutat. 30, 1486–1511 (2009).
33. H. Zhang et al., PIP2 activates KCNQ channels, and its hydrolysis underlies receptor-mediated
inhibition of M currents. Neuron 37, 963–975 (2003).
34. B.-C. Suh, B. Hille, Recovery from muscarinic modulation of M current channels requires
phosphatidylinositol 4,5-bisphosphate synthesis. Neuron 35, 507–520 (2002).
35. G. Loussouarn et al., Phosphatidylinositol-4,5-bisphosphate, PIP2, controls KCNQ1/KCNE1 voltage-
gated potassium channels: A functional homology between voltage-gated and inward rectifier K+
channels EMBO J. 22, 5412–5421 (2003).
36. C. P. Ford, P. L. Stemkowski, P. A. Smith, Possible role of phosphatidylinositol 4,5, bisphosphate in
luteinizing hormone releasing hormone-mediated M-current inhibition in bullfrog sympathetic
neurons. Eur. J. Neurosci. 20, 2990–2998 (2004).
37. P. Delmas, D. A. Brown, Pathways modulating neural KCNQ/M (Kv7) potassium channels. Nat. Rev.
10. K. G. Beam, C. M. Knudson, J. A. Powell, A lethal mutation in mice eliminates the slow calcium
Neurosci. 6, 850–862 (2005).
current in skeletal muscle cells. Nature 320, 168–170 (1986).
38. M. A. Zaydman et al., Kv7.1 ion channels require a lipid to couple voltage sensing to pore opening.
11. J. Payandeh, T. Scheuer, N. Zheng, W. A. Catterall, The crystal structure of a voltage-gated sodium
Proc. Natl. Acad. Sci. U.S.A. 110, 13180–13185 (2013).
channel. Nature 475, 353–358 (2011).
39. J. Cui, Voltage-dependent gating: Novel insights from KCNQ1 channels. Biophys. J. 110, 14–25
12. J. Sun, R. MacKinnon, Cryo-EM structure of a KCNQ1/CaM complex reveals insights into congenital
(2016).
long QT syndrome. Cell 169, 1042–1050.e9 (2017).
40. J. Sun, R. MacKinnon, Structural basis of human KCNQ1 modulation and gating. Cell 180, 340–347.
13. J. Wu et al., Structure of the voltage-gated calcium channel Cav1.1 at 3.6 Å resolution. Nature 537,
e9 (2020).
191–196 (2016).
14. H. Shen et al., Structure of a eukaryotic voltage-gated sodium channel at near-atomic resolution.
Science 355, eaal4326 (2017).
41. Z. A. McCrossan, G. W. Abbott, The MinK-related peptides. Neuropharmacology 47, 787–821 (2004).
42. R. Barro-Soria, M. E. Perez, H. P. Larsson, KCNE3 acts by promoting voltage sensor activation in
KCNQ1. Proc. Natl. Acad. Sci. U.S.A. 112, E7286–E292 (2015).
15. M. Liao, E. Cao, D. Julius, Y. Cheng, Structure of the TRPV1 ion channel determined by electron cryo-
43. L. Shamgar et al., Calmodulin is essential for cardiac IKS channel gating and assembly: Impaired
microscopy. Nature 504, 107–112 (2013).
function in long-QT mutations. Circ. Res. 98, 1055–1063 (2006).
16. S. B. Long, E. B. Campbell, R. MacKinnon, Voltage sensor of Kv1.2: Structural basis of
electromechanical coupling. Science 309, 903–908 (2005).
44. Z. Su, E. C. Brown, W. Wang, R. MacKinnon, Novel cell-free high-throughput screening method for
pharmacological tools targeting K + channels Proc. Natl. Acad. Sci. U.S.A. 113, 5748–5753 (2016).
17. C.-H. Lee, R. MacKinnon, Structures of the human HCN1 hyperpolarization-activated channel. Cell
45. J. H. Morais-Cabral, Y. Zhou, R. MacKinnon, Energetic optimization of ion conduction rate by the K+
168, 111–120.e11 (2017).
selectivity filter Nature 414, 37–42 (2001).
18. X. Tao, R. K. Hite, R. MacKinnon, Cryo-EM structure of the open high-conductance Ca2+-activated
46. D. Ma et al., Structural mechanisms for the activation of human cardiac KCNQ1 channel by electro-
K+ channel Nature 541, 46–51 (2017).
mechanical coupling enhancers. Proc. Natl. Acad. Sci. U.S.A. 119, e2207067119 (2022).
19. J. R. Whicher, R. MacKinnon, Structure of the voltage-gated K+ channel Eag1 reveals an alternative
47. Y. Zheng et al., Structural insights into the lipid and ligand regulation of a human neuronal KCNQ
voltage sensing mechanism Science 353, 664–669 (2016).
channel. Neuron 110, 237–247.e4 (2022).
20. V. S. Mandala, R. MacKinnon, Voltage-sensor movements in the Eag Kv channel under an applied
electric field. Proc. Natl. Acad. Sci. U.S.A. 119, e2214151119 (2022).
21. T. Clairfeuille et al., Structural basis of α-scorpion toxin action on Nav channels. Science 363,
eaav8573 (2019).
22. J. Guo et al., Structure of the voltage-gated two-pore channel TPC1 from Arabidopsis thaliana.
Nature 531, 196–201 (2016).
48. K. J. Ruscic et al., IKs channels open slowly because KCNE1 accessory subunits slow the movement
of S4 voltage sensors in KCNQ1 pore-forming subunits. Proc. Natl. Acad. Sci. U.S.A. 110, E559–E566
(2013).
49. F. Miceli, E. Vargas, F. Bezanilla, M. Taglialatela, Gating currents from Kv7 channels carrying neuronal
hyperexcitability mutations in the voltage-sensing domain. Biophys. J. 102, 1372–1382 (2012).
50. P. Hou et al., Inactivation of KCNQ1 potassium channels reveals dynamic coupling between voltage
23. C.-H. Lee, R. MacKinnon, Voltage sensor movements during hyperpolarization in the HCN channel.
sensing and pore opening. Nat. Commun. 8, 1730 (2017).
Cell 179, 1582–1589.e7 (2019).
24. G. Wisedchaisri et al., Resting-state structure and gating mechanism of a voltage-gated sodium
channel. Cell 178, 993–1003.e12 (2019).
51. M. A. Zaydman et al., Domain–domain interactions determine the gating, permeation,
pharmacology, and subunit modulation of the IKs ion channel. Elife 3, e03606 (2014).
52. H. Misonou, D. P. Mohapatra, J. S. Trimmer, Kv2.1: A voltage-gated K+ channel critical to dynamic
25. H. Xu et al., Structural basis of Nav1.7 inhibition by a gating-modifier spider toxin. Cell 176,
control of neuronal excitability NeuroToxicology 26, 743–752 (2005).
702–715.e14 (2019).
26. W. Ye et al., Activation and closed-state inactivation mechanisms of the human voltage-gated KV4
53. Y. Jiang et al., The open pore conformation of potassium channels. Nature 417, 523–526 (2002).
54. S. K. Aggarwal, R. MacKinnon, Contribution of the S4 segment to gating charge in the shaker K+
channel complexes. Mol. Cell 82, 2427–2442.e4 (2022).
channel Neuron 16, 1169–1177 (1996).
27. G. Huang et al., Unwinding and spiral sliding of S4 and domain rotation of VSD during the
55. S. K. Aggarwal, Analysis of the Voltage Sensor in a Voltage-Activated Potassium Channel (Harvard
electromechanical coupling in Nav1.7. Proc. Natl. Acad. Sci. U.S.A. 119, e2209164119 (2022).
28. J. Barhanin et al., KvLQT1 and IsK (minK) proteins associate to form the IKS cardiac potassium
current. Nature 384, 78–80 (1996).
University, Cambridge, MA, 1996) (January 27, 2023).
56. A. Goehring et al., Screening and large-scale expression of membrane proteins in mammalian cells
for structural studies. Nat. Protoc. 9, 2574–2585 (2014).
29. M. C. Sanguinetti et al., Coassembly of KVLQT1 and minK (IsK) proteins to form cardiac IKS
57. A. Kirchhofer et al., Modulation of protein properties in living cells using nanobodies. Nat. Struct.
potassium channel. Nature 384, 80–83 (1996).
Mol. Biol. 17, 133–138 (2010).
PNAS 2023 Vol. 120 No. 21 e2301985120
https://doi.org/10.1073/pnas.2301985120 11 of 12
58. L. Tonggu, L. Wang, Cryo-EM sample preparation method for extremely low concentration
67. P. Emsley, B. Lohkamp, W. G. Scott, K. Cowtan, Features and development of Coot. Acta Crystallogr. D
liposomes. Ultramicroscopy 208, 112849 (2020).
Biol. Crystallogr. 66, 486–501 (2010).
59. F. Weissmann et al., biGBac enables rapid gene assembly for the expression of large multisubunit
68. D. Liebschner et al., Macromolecular structure determination using X-rays, neutrons and
protein complexes. Proc. Natl. Acad. Sci. U.S.A. 113, E2564–E2569 (2016).
60. K. J. Swartz, R. MacKinnon, An inhibitor of the Kv2.1 potassium channel isolated from the venom of
a Chilean tarantula. Neuron 15, 941–949 (1995).
61. D. N. Mastronarde, Automated electron microscope tomography using robust prediction of
electrons: Recent developments in Phenix. Acta Crystallogr. Sect. Struct. Biol. 75, 861–877
(2019).
69. L. L. C. Schrödinger, The PyMOL Molecular Graphics System (Ver. 2, Schrödinger, 2015).
70. V. S. Mandala, R. MacKinnon, KCNQ1 with voltage sensor in the up conformation. EMDB. https://
specimen movements. J. Struct. Biol. 152, 36–51 (2005).
www.ebi.ac.uk/emdb/EMD-40508. Deposited 14 April 2023.
62. A. Punjani, J. L. Rubinstein, D. J. Fleet, M. A. Brubaker, cryoSPARC: Algorithms for rapid unsupervised
71. V. S. Mandala, R. MacKinnon, KCNQ1 with voltage sensor in the intermediate conformation. EMDB.
cryo-EM structure determination. Nat. Methods 14, 290–296 (2017).
https://www.ebi.ac.uk/emdb/EMD-40509. Deposited 14 April 2023.
63. D. Kimanius, L. Dong, G. Sharov, T. Nakane, S. H. W. Scheres, New tools for automated cryo-EM
72. V. S. Mandala, R. MacKinnon, KCNQ1 with voltage sensor in the down conformation. EMDB. https://
single-particle analysis in RELION-4.0. Biochem. J. 478, 4169–4185 (2021).
www.ebi.ac.uk/emdb/EMD-40510. Deposited 14 April 2023.
64. T. Bepler et al., Positive-unlabeled convolutional neural networks for particle picking in cryo-electron
73. V. S. Mandala, R. MacKinnon, KCNQ1 with voltage sensor in the up conformation. PDB. https://www.
micrographs. Nat. Methods 16, 1153–1160 (2019).
rcsb.org/structure/8SIK. Deposited 14 April 2023.
65. T. I. Croll, ISOLDE: A physically realistic environment for model building into low-resolution electron-
74. V. S. Mandala, R. MacKinnon, KCNQ1 with voltage sensor in the intermediate conformation. PDB.
density maps. Acta Crystallogr. Sect. Struct. Biol. 74, 519–530 (2018).
https://www.rcsb.org/structure/8SIM. Deposited 14 April 2023.
66. E. F. Pettersen et al., UCSF ChimeraX: Structure visualization for researchers, educators, and
75. V. S. Mandala, R. MacKinnon, KCNQ1 with voltage sensor in the down conformation. PDB. https://
developers. Protein Sci. 30, 70–82 (2021).
www.rcsb.org/structure/8SIN. Deposited 14 April 2023.
12 of 12 https://doi.org/10.1073/pnas.2301985120
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10.1002_advs.202200181.pdf
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Data Availability Statement
The data that support the findings of this study are available from the cor-
responding authors upon reasonable request.
|
Data Availability Statement The data that support the findings of this study are available from the corresponding authors upon reasonable request.
|
RESEARCH ARTICLE
www.advancedscience.com
Moiré-Driven Topological Transitions and Extreme
Anisotropy in Elastic Metasurfaces
Simon Yves, Matheus Inguaggiato Nora Rosa, Yuning Guo, Mohit Gupta,
Massimo Ruzzene,* and Andrea Alù*
The twist angle between a pair of stacked 2D materials has been recently
shown to control remarkable phenomena, including the emergence of
flat-band superconductivity in twisted graphene bilayers, of higher-order
topological phases in twisted moiré superlattices, and of topological
polaritons in twisted hyperbolic metasurfaces. These discoveries, at the
foundations of the emergent field of twistronics, have so far been mostly
limited to explorations in atomically thin condensed matter and photonic
systems, with limitations on the degree of control over geometry and twist
angle, and inherent challenges in the fabrication of carefully engineered
stacked multilayers. Here, this work extends twistronics to widely
reconfigurable macroscopic elastic metasurfaces consisting of LEGO pillar
resonators. This work demonstrates highly tailored anisotropy over a
single-layer metasurface driven by variations in the twist angle between a pair
of interleaved spatially modulated pillar lattices. The resulting quasi-periodic
moiré patterns support topological transitions in the isofrequency contours,
leading to strong tunability of highly directional waves. The findings illustrate
how the rich phenomena enabled by twistronics and moiré physics can be
translated over a single-layer metasurface platform, introducing a practical
route toward the observation of extreme phenomena in a variety of wave
systems, potentially applicable to both quantum and classical settings without
multilayered fabrication requirements.
S. Yves, A. Alù
Photonics Initiative
Advanced Science Research Center
City University of New York
New York, NY 10031, USA
E-mail: aalu@gc.cuny.edu
M. I. N. Rosa, Y. Guo, M. Gupta, M. Ruzzene
Department of Mechanical Engineering
University of Colorado Boulder
Boulder, CO 80309, USA
E-mail: massimo.ruzzene@colorado.edu
A. Alù
Physics Program
Graduate Center
City University of New York
New York, NY 10026, USA
The ORCID identification number(s) for the author(s) of this article
can be found under https://doi.org/10.1002/advs.202200181
© 2022 The Authors. Advanced Science published by Wiley-VCH GmbH.
This is an open access article under the terms of the Creative Commons
Attribution License, which permits use, distribution and reproduction in
any medium, provided the original work is properly cited.
DOI: 10.1002/advs.202200181
1. Introduction
New discoveries
in condensed matter
physics have recently shown how a twist
in pairs of 2D stacked layers can produce
highly unexpected emergent phenomena.
Notably,
the fine-tuning of such twist
allows the emergence of a magic angle
at which a plethora of new phenom-
ena can be observed, including flat-band
superconductivity,[1]
the quantum Hall
effect,[2] the creation of moiré excitons,[3–8]
as well as interlayer magnetism.[9] Based
on these concepts, atomic photonic crystals
in twisted bilayer graphene have shown
the ability to route solitons[10,11] and pro-
duce quasi-crystalline phases,[12] higher-
topology,[13] non-Abelian gauge
order
potential,[14] and helical topological state
mosaics.[15,16] These phenomena, at
the
heart of the thriving field of twistronics,[17]
arise from the hybridization of the band
structures associated with the two isolated
monolayers, and the associated formation
of moiré superlattices. Macroscopic-scale
implementations of these concepts using
phononic and photonic metamaterials[18,19]
have demonstrated flat bands in macroscopic analogues of bi-
layer graphene,[20–23] field localization within moiré lattices,[24–26]
the destruction of valley topological protection,[27] artificial gauge
fields,[28] and broadband tunable bianisotropy for biosensing
applications.[29–31]
These concepts have also been recently transposed to optical
metamaterials, based on extreme anisotropic responses over hy-
perbolic metasurfaces (HMTs).[32] Their iso-frequency contours
(IFCs) support an open, hyperbolic topology,[33–37] featuring wave
propagation with enhanced local density of states, and enabling
subwavelength imaging, as well as negative refraction and canal-
ization, inherently broadband in nature. By stacking two hyper-
bolic metasurfaces and rotating one with respect to the other, it
is possible to largely modify the IFCs, inducing transitions be-
tween different topologies, from hyperbolic to elliptical.[38] Such
effect is the wave analogue of a Lifshitz transition in electronic
band structures,[39] which is known to play a crucial role in the
physics of Weyl and Dirac semimetals.[40] These exciting phe-
nomena have also been recently demonstrated in polaritonic
systems.[41–43]
The remarkable features of twisted bilayers exploit the in-
terplay between two distinct layers with exotic wave responses,
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especially for field localization effects, and generally require a
precise control over their coupling, alignment and twist angle.
Hence, experimental setups, however reconfigurable, are quite
challenging.[44] In an attempt to circumvent such difficulties,
a few recent studies have theoretically explored the emergence
of analogous responses in single-layer systems, with interac-
tions or properties modulated by a second virtual layer. For in-
stance, quasi-flat bands, Dirac cones, and quantum anomalous
phases have been predicted in modulated optical lattices,[45,46]
while topological spectral gaps characterized by second Chern
numbers akin to the 4D quantum Hall effect were illustrated in
phononic lattices.[47]
Lifting the requirement of two stacked layers opens new
prospects for the implementation of twistronics across several
electronic, photonic, and phononic platforms. Toward this goal,
in this Letter we explore the effects of emergent moiré patterns
in monolayer pillared metasurfaces formed by the relative twist
of two 2D spatial features: the lattice defined by the position
of the pillars and the one defined by the anisotropic modula-
tion profile of their height, which defines their resonant fea-
tures. We first demonstrate that aligning these two lattices, re-
sulting in an untwisted metasurface, and controlling their fea-
tures, can produce a wide range of elliptical and hyperbolic IFCs.
Next, we show that introducing a relative rotation between these
two 2D lattices generates quasi-periodic moiré patterns govern-
ing topological transitions between open and closed IFCs for spe-
cific twist angles. Such transitions inherently occur in a differ-
ent way from those emerging in twisted bilayers,[32,41,42,43] for
which the interplay between two material hyperbolic surfaces de-
fines the transition instead of the emerging moiré patterns.We
demonstrate the extreme wave phenomena in such twisted inter-
leaved lattices with a highly reconfigurable metasurface formed
by LEGO pillar-cone resonators over an elastic plate, which is
a 2D extension of previously employed implementations used
to study the role of disorder[48] and quasi-periodicity.[49] Our re-
sults show the great potential of this platform to study analogues
of condensed matter phenomena at the macroscopic scale and
in classical settings, and open the door to applications harness-
ing both strong anisotropy and moiré physics for enhanced wave
manipulation.
2. Results and Discussion
Our metasurface consists of a thin elastic plate featuring an ar-
ray of pillars in a square lattice of period a (Figure 1a). The
pillars can be modeled as mechanical dipolar resonators cou-
pled to the transverse motion of the plate, and they are char-
acterized by two bending resonant modes (along x and y) of
equal frequency due to their symmetric cross section. Pillar-type
resonators have been employed in the design of metamateri-
als and metasurfaces, notably in the context of bandgaps,[50–54]
cloaking,[55] and for seismic mitigation.[56] Nonsymmetric em-
bedded resonators have previously been used to implement elas-
tic hyperbolic metamaterials,[57–61] whereby large asymmetric
couplings within the plate can generate anisotropic effective
properties, which can be exploited in the context of waveguiding
and subdiffraction imaging. Rather than breaking the resonator
symmetry, here we induce strong anisotropy through lattice ef-
fects, by spatially modulating the resonant features of the array
with a wavelength 𝜆 = Na. This effect introduces a spatial mis-
match within the lattice, effectively creating a resonant macrocell
including N distinct resonators responsible for asymmetric cou-
plings across the metasurface. More specifically, we modify the
pillar heights according to the modulation profile S (x, y, 𝜃) = cos
[2𝜋/𝜆(cos 𝜃x + sin 𝜃y)], where 𝜃 is a twist angle measured with re-
spect to the x axis (Figure 1a). The height hn of each pillar defines
the resonant frequency of the dominant mode of interest, and it
is assigned by sampling the modulation surface at the lattice sites
xn, yn, i.e., hn = h0 [1 + 𝛼S(xn,yn,𝜃)], where h0 is the mean height
and 𝛼 is the modulation amplitude. This scheme generates two
interleaved spatial features, consisting of the underlying square
lattice of period a and of the sampled height distribution at the
lattice sites.
We begin by highlighting the wave propagation features of the
plate in the untwisted (𝜃 = 0◦ , 𝛼 = 0.1) configuration, with pe-
riod a along y and Na along x. We consider N = 2, resulting in
a diatomic lattice of resonators (Figure 1b), for which the band
structure is shown in Figure 1c (the complete band structure can
be found in Figure S1, Supporting Information). All band struc-
ture computations and response simulations here are calculated
with COMSOL Multiphysics, with details provided in the Sec-
tion S1 (Supporting Information). The interleaving of the two
lattices corresponding to the position of the resonators on the
plate and to the resonance modulation, introduces an asymme-
try and therefore a mismatch in IFCs along x and y, which re-
sults in hyperbolic IFCs around the resonance, two of which are
highlighted by black lines in the figure, as well as elliptical ones.
The existence of hyperbolic and elliptical IFCs is confirmed by
simulating the harmonic response due to a point source exci-
tation applied at the center of a finite sample comprising 80 ×
80 unit cells. The resulting out-of-plane displacement field, and
its Fourier transform (FT) displayed in Figure 1d, illustrate the
emergence of hyperbolic and elliptic bands for the three frequen-
cies marked in Figure 1c, namely 485 Hz, 625 Hz and 670 Hz.
Modifying the height modulation, quantified by the parameter 𝛼,
can dramatically change the coupling asymmetry within the sur-
face, and correspondingly tailor the IFC shape. Two examples are
displayed in Figure 1e at the frequencies of the hyperbolic con-
tours in Figure 1c. In the top panel, at 485 Hz, an increase in
𝛼 results in an inversion of IFC curvature, which changes from
hyperbolic, to flat, to open-elliptical, to finally close into an ellip-
tical shape, demonstrating a topological transition. In the bottom
panel, at 625 Hz, another topological transition from hyperbolic
to elliptical phases occurs, this time as 𝛼 decreases. In this case,
the presence of elliptical IFCs at neighboring frequencies (Fig-
ure 1c) facilitates the transition between the two regimes, requir-
ing smaller variations of 𝛼 to drive the process.
We confirm these phenomena experimentally using our
elastic metasurface platform, exploiting the fact that underlying
sampling lattice is square. Our metasurface comprises 44 × 44
resonators whose heights are modulated with 𝜆 = 2a (Figure 1f),
and we choose the maximum value of 𝛼 allowed by the LEGO
pillar geometry, as shown in the inset. The resonances are tuned
by sliding the cones along the pillars, following the modulation
of hn defined above (Figure 1f, inset). Our LEGO platform
provides straightforward tunability and reconfigurability, which
we harness to demonstrate extreme wave phenomena and
topological transitions. The plate is excited at its center by an
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Figure 1. a) Moiré interleaved metasurface: A square lattice of pillars whose heights are modulated according to a rotating profile, here for 𝛼 = 0.1. b)
Schematic of the periodic system with 𝜃 = 0◦ , and corresponding unit cell (inset). c) Numerical band structure of (b) with three contours corresponding
to hyperbolic (at 485 Hz) along y, hyperbolic along x (at 625 Hz) and elliptical (at 670 Hz) highlighted with black lines. d) Simulated displacement field
and corresponding spatial FT zoomed in at the center of the Brillouin zone for the three frequencies highlighted in (c). e) Modification of the IFCs as a
function of height modulation at 485 Hz (top) and 625 Hz (bottom). f) Corresponding sample made of LEGO elements with cones at alternating heights
(inset). g) Experimentally measured out-of-plane displacement field map and corresponding spatial FT at 345 Hz (left), 470 Hz (center), and 510 Hz
(left).
electrodynamic shaker, which applies a pseudo-random excita-
tion in the 200 − 700 Hz range, and the resulting out-of-plane
wave fields are recorded by a scanning Doppler vibrometer (see
Figure S2, Supporting Information for the experimental setup).
While some hybridization exists between symmetric and asym-
metric Lamb waves in the close vicinity of the resonances due to
out-of-plane breaking of mirror symmetry, the modes of interest
are mainly polarized along the out-of-plane direction (see Figure
S3, Supporting Information for the out-of-plane polarization).
Figure 1g displays the real and reciprocal space maps of the mea-
sured fields at three selected frequencies (345, 470, and 510 Hz):
the measured hyperbolic and elliptical propagation are consis-
tent with those predicted in simulations, with a small frequency
shift attributed to minor differences between experimental and
numerical models (see Figure S1, Supporting Information for
the simulation of the LEGO lattice band structure). These results
clearly show that a spatially anisotropic resonance frequency
modulation can generate broadband hyperbolic mechanical
Lamb waves, easily implemented over our platform. Moreover,
the straightforward tuning of the height modulation amplitude
enables a precise control and drastic variations of the supported
IFCs.
Next, we explore the effect of rotating the interleaved lattices,
by twisting the modulation profile relative to the underlying
square lattice of resonators (Figure 1a). The misalignment be-
tween the lattice and modulation profile produces moiré patterns
associated with complex spatial arrangements of the couplings.
As illustrated in Figure 2a, 2D modulation patterns with a strong
angular dependence appear for 0◦ < 𝜃 < 45◦ (after 45◦, the be-
havior is simply inverted because of symmetry). For a generic
twist angle, the resulting pattern is quasiperiodic, and the peri-
odicity is only restored for specific angles 𝜃 = cos −1(p2/q), where
{p2,q} are integers belonging to a Pythagorean triple satisfying
p2
1 + p2
2 = q2.[24] These periodic configurations are characterized
by unit cells that are typically very large: for instance, the two
smallest super-cells are obtained for 𝜃 = cos −1(4/5)≅36.87°, re-
sulting in a 5 × 10 super-cell, and 𝜃 = cos −1(12/13) ≅22.62°, re-
sulting in a 13 × 26 super-cell. The complexity of the periodic
angles and the increasing size of the super-cells makes the analy-
sis through Bloch procedures very challenging, if not prohibitive.
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Figure 2. a) Pillar height modulation profile as a function of the rotation angle (zoomed detail in inset). b) Simulated out-of-plane displacement field
maps (top) and spatial FT (bottom) as a function of the rotation angle for hyperbolicity along the y axis at 485 Hz. c) Same as (b) for the hyperbolicity
along the x axis at 625 Hz.
Instead, we observe the proposed moiré phenomena by analyz-
ing the out-of-plane displacement in real and reciprocal spaces
for fixed frequency as a function of the twist angle.
Overall, we find evidence of a very rich behavior of the result-
ing metasurfaces, whereby different IFC transitions occur at dif-
ferent frequencies. We focus on the two hyperbolic regimes pre-
sented in Figure 1c. The first example at 485 Hz is illustrated in
Figure 2b, at which the wave directionality rotates in the opposite
direction compared to the twist angle, until 𝜃 = 30°. The effec-
tive wavelength of the guided waves drastically increases in the
small angle regime (𝜃 < 10◦), as displayed on Figure 2b, evidence
of the progressive emergence of a moiré pattern introducing a
super-lattice with long spatial wavelengths (Figure 2a). We note
that the metasurface response is strongly affected by the twist an-
gle, as long as the wavelength of the moiré pattern is larger than
the wavelength of the propagating waves. In reciprocal space, we
correspondingly observe the presence of spatial harmonics that
move away from the center of the Brillouin zone toward larger
wavenumbers as the twist angle increases, in line with a decrease
in moiré periodicity. When 𝜃 gets closer to 45◦, an inverted phe-
nomenon arises, albeit less noticeable in the 2D modulation pro-
file, and some spatial harmonics move closer to the center, caus-
ing a distortion of the IFCs. Similar to the case at 𝜃 = 4◦ , this
effect hampers surface wave propagation, which is linked to the
emergence of partial bandgaps and band flattening caused by the
interaction of different spatial harmonics. The rigorous analysis
of this phenomenon is inherently complex due to the quasiperi-
odic nature of the system and it goes beyond the scope of this
work.
A different evolution of the supported band structure as a func-
tion of the twist angle can be observed in Figure 2c, correspond-
ing to excitation at 625 Hz. At 𝜃 = 0◦
the wave propagation
is hyperbolic but with opposite orientation. As 𝜃 increases, the
field progressively loses directionality, and becomes completely
delocalized above 10◦. In reciprocal space (bottom row), this field
evolution manifests itself as a topological transition of the asso-
ciated IFCs, which evolve from open hyperbolic to closed ellip-
tical for increasing twist angle. Similar to Figure 2b, this is ex-
plained by the distortion of the original contours due to emerging
quasi-periodic modulation and super-lattice patterns. Although
the transition here is driven by the twist angle, its emergence is
inherently different from the ones observed in previous studies
of twisted hyperbolic metasurface bilayers:[32,41,42,43] here the sys-
tem consists of a single layer whose interleaved spatial modu-
lation lattices and emerging moiré patterns directly control the
coupling between resonators, governing the IFC features.
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Figure 3. a) Doubling the modulation period enables a better sampling of the resulting modulation profile. b) The modulation profile is better preserved
during the twist. c) Pillar height modulation as a function of rotation angle, with a zoom-in inset for four angles. d) Simulated out-of-plane displacement
field maps (top) and spatial FT (bottom) as a function of the rotation angle for hyperbolicity along y at 470 Hz. e–g) Same as (d) in the case of topological
transitions at 595, 620, and 645 Hz, respectively.
Next, we explore the possibility of precisely tuning the dis-
persion profile across smoother topological transitions. As noted
above, the spatial features emerging from twisting the two inter-
leaved lattices are characterized by a large change in their peri-
odicities as the twist angle is varied. Increasing the twist angle
can quickly degrade the nature of the modulation, as a function
of how coarse the height modulation is sampled by the period of
the square lattice. The associated angular sensitivity of this phe-
nomenon can be expectedly reduced by increasing the periodicity
of the modulation profile. For example, Figure 3a considers the
untwisted scenario when the modulation period is doubled to 𝜆
= 4a. This change translates into a smoother correlation between
twist angle and resulting anisotropic contours, with considerably
smaller distortions (Figure 3b,c). As a consequence, the original
spatially anisotropic distribution of couplings within the mono-
layer, which is responsible for the hyperbolic features, can be bet-
ter preserved as the twist angle changes.
The resulting wave propagation features are summarized in
Figure 3. Figure 3d considers the frequency for which the original
untwisted structure supports directional hyperbolic waves ori-
ented along the y axis, for excitation at 470 Hz. Although super-
lattice phenomena occur at small angles, their impact on the IFCs
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Figure 4. a) LEGO metasurfaces as a function of rotation angle for 𝜆 = 4a. b) Experimentally measured field maps (top) and spatial FT (bottom) as a
function of the rotation angle in the case of hyperbolicity along the y axis at 311 Hz. c–e) Same as (b) in the case of topological transitions at 430, 452.5,
and 462.5 Hz, respectively.
is less pronounced now, compared to Figure 2a. Indeed, as the
angle increases, the propagation of directional waves smoothly
follows the modulation rotation. In reciprocal space, the corre-
sponding hyperbolic contours, albeit progressively flatter due to
small changes in the couplings induced by moiré effects, undergo
a similar rotation, indicating an effective twist of the metasurface
properties occurring over a large angular range.
Next, we focus on the frequency range associated with hyper-
bolicity along the x direction, displayed on Figure 3e–g (for 595,
620, and at 645 Hz, respectively). In the untwisted case (𝜃 = 0◦ ),
these frequencies are related to different anisotropic phases: the
contour in (e) is an ellipse that progressively opens as the fre-
quency is increased to become flat in (f). A further frequency in-
crease results in a curvature inversion, leading to a hyperbolic
IFC (Figure 3g). As we increase the twist angle, Figure 3e demon-
strates an opening of the IFC, and correspondingly a topological
transition from elliptical to hyperbolic. The resulting canalized
waves follow the rotation of the modulation profile until 𝜃 = 45◦ .
In the case of Figure 3f, an overall rotation of the flat contour, as
well as its progressive curvature inversion, is observed as a func-
tion of the twist angle. Finally, Figure 3g shows a complete topo-
logical transition from hyperbolic to elliptical contours, driven by
the twist. These findings clearly show that the moiré patterns in-
duced by the twist between the interleaved lattices are responsi-
ble for topological transitions and canalized waves. The increased
modulation wavelength (𝜆 = 4a) results in a better preservation of
the untwisted anisotropic coupling distribution. This smoothens
the transitions compared to the results of Figure 2b and allows to
observe these moiré phenomena over larger angular ranges.
These results suggest a straightforward experimental imple-
mentation and observation of these phenomena on our reconfig-
urable LEGO platform comprising 44 × 44 resonators. We im-
plemented several configurations for 𝜃 = 0◦ , 15◦, 30◦, 45◦, as
shown in Figure 4a. The sample snapshots illustrate the rotation
of the modulation profile, as well as the distortion caused by the
sampling as it is twisted relative to the interleaved metasurface
lattice (see the pattern formed by the black and blue stripes in
the insets). Figure 4b shows the experimentally measured field
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profile (top) and corresponding spatial FT (bottom) for hyperbol-
icity along y (at 311 Hz) as a function of the twist angle. As 𝜃 in-
creases, the wave directionality accordingly rotates, reflected into
the corresponding IFCs, which also become flatter and closer to
the origin in Fourier space. This behavior, albeit less clear than
in Figure 3d because of the smaller size of the sample, follows
the trend seen in simulations. Figure 4c–e consider frequencies
that support hyperbolic waves along x. Panel (c), for excitation at
430 Hz, starts from delocalized fields for 𝜃 = 0◦ , and the prop-
agation becomes strongly canalized as the angle increases, with
a directionality following the modulation twist, consistent with
Figure 3e. Our measurements confirm a moiré-driven topologi-
cal phase transition between closed and open contours. Next, Fig-
ure 4d, for excitation at 452.5 Hz, shows a rotation in wave direc-
tionality from 𝜃 = 0◦
to 45◦. Although less evident due to the
smaller size of the plate, this transition is consistent with the re-
sults in Figure 3f. Finally, Figure 4e presents results at 462.5 Hz,
at which the waves are canalized and twisted from 𝜃 = 0◦ to 30◦,
and then become delocalized at 45◦, experimentally confirming
a reverse topological transition, from open to closed contours, as
the twist angle increases, similar to Figure 3f. Overall, these ex-
perimental results clearly illustrate that tailoring the modulation
parameters of twisted interleaved lattices over a metasurface pro-
duces topological transitions between delocalized and canaliza-
tion regimes, as well as an effective rotation of the guided wave
directionality, with the frequency being a key parameter that de-
fines the type of observed transition.
Overall, these results showcase the rich behavior associated
with moiré physics and hyperbolic dispersion within a single-
layer metasurface. We note that not all moiré physics associated
to bilayer systems can be easily transposed to single layers. No-
tably, the interlayer coupling parameter is important for some
applications, and it can be challenging to find its equivalent in
single-layer systems.[45,46] Moreover, while bilayers may be mod-
eled based on the properties of the individual layers,[32,41] addi-
tional moiré effects and quasi-periodicity are inevitable in our sys-
tem, which makes their modeling more complex. Finally, while
inducing dynamical reconfigurability in our single layer moiré
system requires a more complex implementation of active de-
vices, it does not rely on any physical displacement between the
layers, making it more robust and fully controllable.
3. Conclusion
In this paper, we have investigated the effect of twisting inter-
leaved lattices over a single-layer pillared metasurface. We first
explored the case where the two governing spatial features, the
position and height modulation profile of the pillars, are aligned
but feature a mismatch in their spatial period along one direc-
tion. The resulting periodic metasurface supports hyperbolic fea-
tures over a broad range of frequencies, whose emergence has
been observed both numerically and experimentally over a LEGO
platform. Next, we introduced a relative rotation between the in-
terleaved lattices, which induces moiré patterns that generates
emerging wave phenomena, resulting in drastic modifications of
the IFCs that undergo a transition from open to closed contours
as the twist angle varies. A coarser sampling of the modulation
patterns causes these transitions to be abrupt and to occur over a
limited range of twist angles. The effect of sampling is expounded
by increasing the modulation wavelength, which results in a bet-
ter preservation of the spatial features as the twist angle changes,
and produces smoother topological transitions. Such transitions
are associated with extreme anisotropic features, inducing wave
canalization along specific directions that are controlled by the
twist angle within a range of angles and frequencies. In stark
contrast to the case of twisted hyperbolic bilayers,[32,41,42,43] these
transitions are driven by the moiré patterns emerging within the
sample as the rotation angle changes. Moreover, albeit of topo-
logical nature, they differ from topological phases in chiral hy-
perbolic metamaterials, which are related to pseudo-spin propa-
gation at the edge of the system.[62] We have observed these phe-
nomena over a simple, practical, and highly reconfigurable LEGO
platform, which allowed us to observe with flexibility the various
regimes discovered in our study. As such and considering ad-
ditional practical implementation challenges, they can be trans-
lated over a broad range of physical domains, including quan-
tum and nanophotonic systems or microphononics in the con-
text of pillared media,[63,64] opening opportunities for twistronic-
induced phenomena that do not require multilayered fabrication
and careful control alignment, interlayer couplings, and twisting.
The reconfigurability of our approach, in contrast with previously
investigated twisted bilayer configurations, opens new opportu-
nities for single-layer moiré metasurfaces featuring high tunabil-
ity of anisotropic responses. Such tunability emerges as a func-
tion of the twist angle, which is a single parameter defining the
considered modulation. This suggests new opportunities stem-
ming from the rich physics of twistronics and moiré phenomena,
which may also open the door to dynamically reconfigurable de-
vices capable of real-time enhanced wave manipulation.
Supporting Information
Supporting Information is available from the Wiley Online Library or from
the author.
Acknowledgements
S.Y. and M.I.N.R. contributed equally to this work. S.Y. and A.A. acknowl-
edge funding from the Simons Foundation, the National Science Founda-
tion EFRI program, and the Air Force Office of Scientific Research MURI
program. M. I. N.R. and M.R. gratefully acknowledge the support from the
National Science Foundation (NSF) through the EFRI 1741685 grant and
from the Army Research Office through grant W911NF-18-1-0036. LEGO
is a trademark of the LEGO Group, which does not sponsor, authorize, or
endorse this paper.
Conflict of Interest
The authors declare no conflict of interest.
Data Availability Statement
The data that support the findings of this study are available from the cor-
responding authors upon reasonable request.
Keywords
hyperbolic, metasurface, moiré materials, phononics, quasi-periodicity,
topological transitions, wave steering
Adv. Sci. 2022, 9, 2200181
2200181 (7 of 8)
© 2022 The Authors. Advanced Science published by Wiley-VCH GmbH
www.advancedsciencenews.com
www.advancedscience.com
Received: January 10, 2022
Revised: February 9, 2022
Published online: March 6, 2022
[30] Y. Zhao, A. N. Askarpour, L. Sun, J. Shi, X. Li, A. Alù, Nat. Commun.
2017, 8, 14180.
[31] H. X. Xu, G. Hu, L. Han, M. Jiang, Y. Huang, Y. Li, X. Yang, X. Ling, L.
Chen, J. Zhao, C. W. Qiu, Adv. Opt. Mater. 2019, 7, 1801479.
[32] G. Hu, A. Krasnok, Y. Mazor, C. W. Qiu, A. Alù, Nano Lett. 2020, 20,
3217.
[1] Y. Cao, V. Fatemi, S. Fang, K. Watanabe, T. Taniguchi, E. Kaxiras, P.
Jarillo-Herrero, Nature 2018, 556, 43.
[2] C. R. Dean, L. Wang, P. Maher, C. Forsythe, F. Ghahari, Y. Gao, J. Ka-
toch, M. Ishigami, P. Moon, M. Koshino, T. Taniguchi, Nature 2013,
497, 598.
[33] A. Poddubny, I. Iorsh, P. Belov, Y. Kivshar, Nat. Photonics 2013, 7, 948.
[34] A. A. High, R. C. Devlin, A. Dibos, M. Polking, D. S. Wild, J. Perczel,
[35]
N. P. De Leon, M. D. Lukin, H. Park, Nature 2015, 522, 192.
J. S. Gomez-Diaz, M. Tymchenko, A. Alù, Phys. Rev. Lett. 2015, 114,
233901.
[3] K. Tran, G. Moody, F. Wu, X. Lu, J. Choi, K. Kim, A. Rai, D. A. Sanchez,
[36] D. Correas-Serrano, J. S. Gomez-Diaz, A. A. Melcon, A. Alù, J. Opt.
J. Quan, A. Singh, J. Embley, Nature 2019, 567, 71.
[4] K. L. Seyler, P. Rivera, H. Yu, N. P. Wilson, E. L. Ray, D. G. Mandrus,
J. Yan, W. Yao, X. Xu, Nature 2019, 567, 66.
[5] C. Jin, E. C. Regan, A. Yan, M. I. B. Utama, D. Wang, S. Zhao, Y. Qin,
S. Yang, Z. Zheng, S. Shi, K. Watanabe, Nature 2019, 567, 76.
[6] E. M. Alexeev, D. A. Ruiz-Tijerina, M. Danovich, M. J. Hamer, D. J.
Terry, P. K. Nayak, S. Ahn, S. Pak, J. Lee, J. I. Sohn, M. R. Molas, Nature
2019, 567, 81.
[7] H. Yu, G. B. Liu, J. Tang, X. Xu, W. Yao, Sci. Adv. 2017, 3, e1701696.
[8] F. Wu, T. Lovorn, A. H. MacDonald, Phys. Rev. Lett. 2017, 118, 147401.
[9] W. Chen, Z. Sun, Z. Wang, L. Gu, X. Xu, S. Wu, C. Gao, Science 2019,
366, 983.
2016, 18, 104006.
J. S. Gomez-Diaz, A. Alù, ACS Photonics 2016, 3, 2211.
[37]
[38] H. N. S. Krishnamoorthy, Z. Jacob, E. Narimanov, I. Kretzschmar, V.
M. Menon, Science 2012, 336, 205.
I. M. Lifshitz, Sov. Phys. - JETP 1960, 11, 1130.
[39]
[40] N. P. Armitage, E. J. Mele, A. Vishwanath, Rev. Mod. Phys. 2018, 90,
015001.
[41] G. Hu, Q. Ou, G. Si, Y. Wu, J. Wu, Z. Dai, A. Krasnok, Y. Mazor, Q.
[42]
Zhang, Q. Bao, C. W. Qiu, A. Alù, Nature 2020, 582, 209.
J. Duan, N. Capote-Robayna, J. Taboada-Gutiérrez, G. Álvarez-Pérez,
I. Prieto, J. Martín-Sánchez, A. Y. Nikitin, P. Alonso-González, Nano
Lett. 2020, 20, 5323.
[10] L. Jiang, Z. Shi, B. Zeng, S. Wang, J. H. Kang, T. Joshi, C. Jin, L. Ju, J.
[43] Z. Zheng, F. Sun, W. Huang, J. Jiang, R. Zhan, Y. Ke, H. Chen, S. Deng,
Kim, T. Lyu, Y. R. Shen, Nat. Mater. 2016, 15, 840.
Nano Lett. 2020, 20, 5301.
[11] S. S. Sunku, G. Ni, B. Y. Jiang, H. Yoo, A. Sternbach, A. S. McLeod,
T. Stauber, L. Xiong, T. Taniguchi, K. Watanabe, P. Kim, Science 2018,
362, 1153.
[12] S. J. Ahn, P. Moon, T. H. Kim, H. W. Kim, H. C. Shin, E. H. Kim, H.
W. Cha, S. J. Kahng, P. Kim, M. Koshino, Y. W. Son, Science 2018, 361,
782.
[13] B. Liu, L. Xian, H. Mu, G. Zhao, Z. Liu, A. Rubio, Z. F. Wang, Phys.
Rev. Lett. 2021, 126, 066401.
[14] P. San-Jose, J. Gonzalez, F. Guinea, Phys. Rev. Lett. 2012, 108, 216802.
[15] S. Huang, K. Kim, D. K. Efimkin, T. Lovorn, T. Taniguchi, K. Watanabe,
A. H. MacDonald, E. Tutuc, B. J. LeRoy, Phys. Rev. Lett. 2018, 121,
037702.
[44] R. Ribeiro-Palau, C. Zhang, K. Watanabe, T. Taniguchi, J. Hone, C. R.
Dean, Science 2018, 361, 690.
[45] T. Salamon, A. Celi, R. W. Chhajlany, I. Frérot, M. Lewenstein, L. Tar-
ruell, D. Rakshit, Phys. Rev. Lett. 2020, 125, 030504.
[46] T. Salamon, R. W. Chhajlany, A. Dauphin, M. Lewenstein, D. Rakshit,
Phys. Rev B 2020, 102, 235126.
[47] M. I. N. Rosa, M. Ruzzene, E. Prodan, Commun. Phys. 2021, 4, 130.
[48] P. Celli, B. Yousefzadeh, C. Daraio, S. Gonella, Appl. Phys. Lett. 2019,
114, 091903.
[49] M. I. N. Rosa, Y. Guo, M. Ruzzene, Appl. Phys. Lett. 2021, 118, 131901.
[50] Y. Achaoui, A. Khelif, S. Benchabane, L. Robert, V. Laude, Phys. Rev. B
2011, 83, 10401.
[16] Q. Tong, H. Yu, Q. Zhu, Y. Wang, X. Xu, W. Yao, Nat. Phys. 2017, 13,
[51] M. Rupin, F. Lemoult, G. Lerosey, P. Roux, Phys. Rev. Lett. 2014, 112,
356.
234301.
[17] S. Carr, D. Massatt, S. Fang, P. Cazeaux, M. Luskin, E. Kaxiras, Phys.
Rev. B 2017, 95, 075420.
[18] G. Hu, C. W. Qiu, A. Alù, Opt. Mater. Express 2021, 11, 1377.
[19] B. Lou, N. Zhao, M. Minkov, C. Guo, M. Orenstein, S. Fan, Phys. Rev.
Lett. 2021, 126, 136101.
[52] L. Cao, Z, Y., Y. Xu, B. Assouar, Smart Mater. Struct. 2018, 27, 075051.
[53] W. Wang, B. Bonello, B. Djafari-Rouhani, Y. Pennec, J. Zhao, Phys. Rev.
Appl. 2018, 10, 064011.
[54] O. R. Bilal, A. Foehr, C. Daraio, Extreme Mech. Lett. 2017, 15, 103.
[55] A. Colombi, P. Roux, S. Guenneau, M. Rupin, J. Acoust. Soc. Am. 2015,
[20] M. R. López, F. Peñaranda, J. Christensen, P. San-Jose, Phys. Rev. Lett.
137, 1783.
2020, 125, 214301.
[21] Y. Deng, M. Oudich, N. J. Gerard, J. Ji, M. Lu, Y. Jing, Phys. Rev. B 2020,
102, 180304.
[22] S. M. Gardezi, H. Pirie, S. Carr, W. Dorrell, J. E. Hoffman, 2D Mater.
2021, 8, 031002.
[23] K. Dong, T. Zhang, J. Li, Q. Wang, F. Yang, Y. Rho, D. Wang, C. P.
Grigoropoulos, J. Wu, J. Yao, Phys. Rev. Lett. 2021, 126, 223601.
[24] P. Wang, Y. Zheng, X. Chen, C. Huang, Y. V. Kartashov, L. Torner, V. V.
[56] P. Roux, D. Bindi, T. Boxberger, A. Colombi, F. Cotton, I. Douste-
Bacque, S. Garambois, P. Gueguen, G. Hillers, D. Hollis, T. Lecocq,
Seismol. Res. Lett. 2018, 89, 582.
J. H. Oh, H. M. Seung, Y. Y. Kim, Appl. Phys. Lett. 2014, 104, 073503.
J. H. Oh, Y. K. Ahn, Y. Y. Kim, Struct. Multidiscip. Optim. 2015, 52,
1023.
[57]
[58]
[59] H. Lee, J. H. Oh, H. M. Seung, S. H. Cho, Y. Y. Kim, Sci. Rep. 2016, 6,
24026.
Konotop, F. Ye, Nature 2020, 577, 42.
[60] R. Zhu, Y. Y. Chen, Y. S. Wang, G. K. Hu, G. L. Huang, J. Acoust. Soc.
[25] M. Martí-Sabaté, D. Torrent, Phys. Rev. Appl. 2021, 15, L011001.
[26] Q. Fu, P. Wang, C. Huang, Y. V. Kartashov, L. Torner, V. V. Konotop, F.
Ye, Nat. Photonics 2020, 14, 663.
Am. 2016, 139, 3303.
[61] H. W. Dong, S. D. Zhao, Y. S. Wang, C. Zhang, Sci. Rep. 2018, 8, 2247.
[62] W. Gao, M. Lawrence, B. Yang, F. Liu, F. Fang, B. Béri, J. Li, S. Zhang,
[27] Y. Jin, W. Wang, Z. Wen, D. Torrent, B. Djafari-Rouhani, Extreme Mech.
Phys. Rev. Lett. 2015, 114, 037402.
Lett. 2020, 39, 100777.
[63] M. Yan, J. Lu, F. Li, W. Deng, X. Huang, J. Ma, Z. Liu, Nat. Mater. 2018,
[28] M. I. Cohen, C. Jörg, Y. Lumer, Y. Plotnik, E. H. Waller, J. Schulz, G.
17, 993.
von Freymann, M. Segev, Light: Sci. Appl. 2020, 9, 200.
[29] Y. Zhao, M. Belkin, A. Alù, Nat. Commun. 2012, 3, 870.
[64] M. Yan, W. Deng, X. Huang, Y. Wu, Y. Yang, J. Lu, F. Li, Z. Liu, Phys.
Rev. Lett. 2021, 127, 136401.
Adv. Sci. 2022, 9, 2200181
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© 2022 The Authors. Advanced Science published by Wiley-VCH GmbH
| null |
10.1371_journal.pone.0257328.pdf
|
Data Availability Statement: LANYERO, HINDUM
(2021), Validity of caregivers’ reports on prior use
of antibacterials in children under five years
presenting to health facilities in Gulu, northern
Uganda, Dryad, Dataset, https://doi.org/10.5061/
dryad.sj3tx9642.
| null |
RESEARCH ARTICLE
Validity of caregivers’ reports on prior use of
antibacterials in children under five years
presenting to health facilities in Gulu,
northern Uganda
Hindum LanyeroID
Katureebe Agaba4, Joan N. Kalyango5,6, Jaran Eriksen3,7, Sarah Nanzigu1*
1, Moses Ocan1, Celestino Obua2, Cecilia Stålsby Lundborg3,
1 Department of Pharmacology and Therapeutics, Makerere University College of Health Sciences,
Kampala, Uganda, 2 Mbarara University of Science and Technology, Mbarara, Uganda, 3 Department of
Global Public Health, Karolinska Institutet, Stockholm, Sweden, 4 Infectious Diseases Research
Collaboration, Kampala, Uganda, 5 Department of Pharmacy, Makerere University College of Health
Sciences, Kampala, Uganda, 6 Clinical Epidemiology Unit, Makerere University College of Health Sciences,
Kampala, Uganda, 7 Department of Infectious Diseases, South General Hospital, Stockholm, Sweden
* snanzigu@yahoo.com
Abstract
Introduction
Given the frequent initiation of antibacterial treatment at home by caregivers of children
under five years in low-income countries, there is a need to find out whether caregivers’
reports of prior antibacterial intake by their children before being brought to the healthcare
facility are accurate. The aim of this study was to describe and validate caregivers’ reported
use of antibacterials by their children prior to seeking care at the healthcare facility.
Methods
A cross sectional study was conducted among children under five years seeking care at
healthcare facilities in Gulu district, northern Uganda. Using a researcher administered
questionnaire, data were obtained from caregivers regarding reported prior antibacterial
intake in their children. These reports were validated by comparing them to common anti-
bacterial agents detected in blood and urine samples from the children using liquid chroma-
tography with tandem mass spectrometry (LC-MS/MS) methods.
Results
A total of 355 study participants had a complete set of data on prior antibacterial use col-
lected using both self-report and LC-MS/MS. Of the caregivers, 14.4% (51/355, CI: 10.9–
18.5%) reported giving children antibacterials prior to visiting the healthcare facility. How-
ever, LC-MS/MS detected antibacterials in blood and urine samples in 63.7% (226/355, CI:
58.4–68.7%) of the children. The most common antibacterials detected from the laboratory
analysis were cotrimoxazole (29%, 103/355), ciprofloxacin (13%, 46/355), and metronida-
zole (9.9%, 35/355). The sensitivity, specificity, positive predictive value (PPV), negative
predictive value and agreement of self-reported antibacterial intake prior to healthcare
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OPEN ACCESS
Citation: Lanyero H, Ocan M, Obua C, Stålsby
Lundborg C, Agaba K, Kalyango JN, et al. (2021)
Validity of caregivers’ reports on prior use of
antibacterials in children under five years
presenting to health facilities in Gulu, northern
Uganda. PLoS ONE 16(9): e0257328. https://doi.
org/10.1371/journal.pone.0257328
Editor: Orvalho Augusto, University of Washington,
UNITED STATES
Received: February 12, 2021
Accepted: August 28, 2021
Published: September 16, 2021
Copyright: © 2021 Lanyero et al. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
Data Availability Statement: LANYERO, HINDUM
(2021), Validity of caregivers’ reports on prior use
of antibacterials in children under five years
presenting to health facilities in Gulu, northern
Uganda, Dryad, Dataset, https://doi.org/10.5061/
dryad.sj3tx9642.
Funding: Makerere University -SIDA collaboration
(Sida PI0010) The funders had no role in study
design, data collection and analysis, decision to
publish, or preparation of the manuscript.
PLOS ONE | https://doi.org/10.1371/journal.pone.0257328 September 16, 2021
1 / 14
PLOS ONEValidity of caregivers’ reports on prior use of antibacterials in children under five years
Competing interests: The authors have declared
that no competing interests exist.
facility visit were 17.3% (12.6–22.8), 90.7% (84.3–95.1), 76.5% (62.5–87.2), 38.5% (33.0–
44.2) and 43.9% (k 0.06) respectively.
Conclusion
There is low validity of caregivers’ reports on prior intake of antibacterials by these children.
There is need for further research to understand the factors associated with under reporting
of prior antibacterial use.
Introduction
Antibacterial agents are used to treat a wide range of bacterial infections and are essential life-
saving medicines. They are the most commonly used medicines in Sub-Saharan Africa due to
the high prevalence of infectious diseases [1]. Used correctly, they deliver enormous benefits
to the health of the population worldwide [2].
Antibacterials are, according to the national drug policy of Uganda, prescription only medi-
cines [3]. However, they are readily accessible and affordable to most patients within the com-
munities in Uganda, not only as prescription medicines as they can often also be obtained
over-the-counter especially in private medicine outlets [4]. The relative ease with which com-
munities access these medicines poses several challenges for antibacterial stewardship [4]. The
majority of caregivers in low-income countries initiate treatment of their children at home [5].
The use of antibacterials prior to hospital visits is common, especially in low-income countries,
and may influence patient treatment outcomes. According to a study in Nigeria, 85% of
patients reported to have self-medicated before coming to the health facility and antibacterials
were among the most common medicines used [6]. A study in Uganda reported that 62.2% of
patients had used antibacterial agents prior to coming to health facility [4]. Another study
done in Haiti to assess self-medication among patients presenting at an out-patient depart-
ment found that 45.5% practiced self-medication with antibacterials [7].
Caregivers’ ability to report antibacterial intake prior to coming to a health facility is crucial
for appropriate prescription of medicines at the health facility. Self-reports have been shown to
have low validity as they are prone to recall bias and social desirability bias. Respondents nor-
mally provide information that conforms to their perceived expectations of the health workers
or researchers [5, 8]. A study carried out in Uganda in 2009 reported a limited validity of care-
givers’ reports of use of sulfamethoxazole, chloroquine and sulfadoxine in their children prior
to arrival to the hospital [5]. Similarly, a study from Tanzania reported that 97% of the children
without history of prior chloroquine treatment had detectable levels of chloroquine in blood
[9]. Another study in Ghana reported a high prevalence (64%) of antibacterials detected in
urine samples of patients compared to the self-reported use (13%) [10].
To our knowledge no study has validated caregivers’ reports of intake of antibacterials in
children under five years in rural communities in low resource settings. In this study we
describe and validate caregivers’ reported use of antibacterials by their children under five
years for treatment prior to seeking care at the healthcare facility.
Materials and methods
Ethics statement
The protocol was reviewed and approved by the Makerere University School of Biomedical
Sciences Research and Ethics Committee (reference SBS-570) and the Uganda National
PLOS ONE | https://doi.org/10.1371/journal.pone.0257328 September 16, 2021
2 / 14
PLOS ONEValidity of caregivers’ reports on prior use of antibacterials in children under five years
Council of Science and Technology (reference HS235ES) (S1 Appendix). Administrative clear-
ance was obtained from the healthcare facilities where the study was conducted. Written
informed consent was obtained from caregivers of children under five years prior to data col-
lection (S2 Appendix).
Study design and setting
A cross-sectional study was conducted among children under five years and their caregivers in
healthcare facilities in Gulu district, northern Uganda. Gulu is located about 360 km from the
capital city Kampala. In Uganda, the lowest level of the district-based healthcare system con-
sists of the village health teams/community medicine distributors, which constitute level 1 of
health care. This is operated by members of the community who can read and write at least in
the local language of the community. The next level is health centre II which is operated by a
professionally trained nurse with a diploma and is intended to serve 5000 patients. This is fol-
lowed by health centre level III which is operated by a professionally trained clinical officer
with a diploma in clinical medicine and intended to serve 10,000 patients. Above health centre
level III is health centre level IV and then district hospitals headed by medical officers with a
basic degree in medicine and surgery and intended to serve about 100,000 patients. Regionally
there are regional referral hospitals where patients are referred to from the district hospitals.
The regional referral hospitals are expected to have specialist health professionals covering the
major disciplines such as surgery, internal medicine, and paediatrics. At the top of the health
care system are the national referral hospitals [11]. Gulu district has a total of 19 health centre
level II, 10 health centre level III, one health centre level IV, 31 registered pharmacies and 135
licensed drug shops [12–14]. This study was carried out in three health centre level III and one
health centre level IV. These healthcare centers were purposively selected because they serve
the greatest number of patients in the out-patient departments in Gulu district. The most com-
mon diseases in children under five years seeking care at healthcare facilities in this area
include; malaria, diarrhea, pneumonia, acute childhood malnutrition and HIV/AIDS [15–17].
Study population
Sick children under five years and their caregivers seeking care at the four healthcare facilities
were included in the study after caregivers’ consent. Children who were brought to the health
center by caregivers who did not take care of the children from the onset of the current illness
were excluded from the study. Children who had come for review or continuation of treatment
for current illness were also excluded from the study.
Sample size
The sample size was computed based on formula for estimation of sample size for a single pro-
portion [18]. Assuming that the proportion of children getting antibacterial treatment prior to
health facility visit was 50%, in order to have a 95% confidence interval and a 5% margin of
error, the minimum sample size needed was set to 385. The number of children sampled from
each facility was determined from the volume of patients at the health facility using propor-
tionate sampling.
Sampling procedures
The patients were selected by systematic random sampling. On each of the data collection
dates the first patient to be recruited into the study was randomly selected by having a blind-
folded data collector walk around in the waiting area and point at a random patient among the
PLOS ONE | https://doi.org/10.1371/journal.pone.0257328 September 16, 2021
3 / 14
PLOS ONEValidity of caregivers’ reports on prior use of antibacterials in children under five years
patients waiting in line to be seen by the healthcare worker in the outpatient department.
Thereafter, every fourth patient in line towards the entrance of the healthcare workers room
was selected for recruitment. In the event that the selected patient was above five years of age,
they were skipped and the next patient recruited while maintaining the sampling interval.
Approximately 10 days were spent collecting data in each healthcare facility.
Data collection
An interviewer administered questionnaire was used for data collection. The questionnaire
was pre-tested on caregivers of 30 children in outpatient departments of Gulu regional referral
hospital. This tool was adapted from a tool used to collect data on prevalence and predictors of
prior antibacterial use among patients presenting to hospitals in northern Uganda in a previ-
ous study [4], it was written in English and translated to Acholi (the most common local lan-
guage spoken in the study area).
The data collection team was divided into four groups each comprising of two people, one
pharmacy technician (health professional with diploma in pharmacy) and a laboratory techni-
cian. The pharmacy technician conducted interviews while the laboratory technician collected
the blood and urine samples.
Information on the following variables was collected; sub-county of residence, age of child,
age of care-giver, sex of child, sex of caregiver, whether medication was given to child before
coming to the healthcare facility since the onset of this current illness, the type and source of
the medicine, and the person who recommended the medicine. In case the caregiver did not
know the name of the medicine, the interviewer asked them to describe it or show the packing
material if at all they had come with it to the health center. Each interview lasted about 20 min-
utes per patient.
Sample collection and transportation. Two hundred microlitres (200μL) of blood was
collected from the fingertips of children under five years using a 200μL micro-pipette with
ethylenediamine tetra-acetic acid (EDTA), and spotted on a filter paper and left to dry for 3
hours in room temperature. After the blood had dried on the filter paper, each filter paper was
put in a separate plastic zip bag with a desiccant and transported to the laboratory for analysis.
Urine samples were collected in sterile wide mouth containers. In the very young children
who couldn’t void in the wide mouth containers, urine samples were collected by placing a
thick layer of cotton wool inside the child’s nappy and squeezing the urine in the urine sample
bottles. Two hundred microlitres (200μL) of urine was collected from the wide mouth contain-
ers using a plastic pipette and spotted on a filter paper and left to dry for 3 hours at room tem-
perature. After the urine had dried on the filter paper, each filter paper was put in a separate
plastic zip bag with a desiccant and transported to the laboratory for analysis. The dried blood
spot (DBS) and dried urine spot (DUS) samples obtained from patients were stored at -20˚C
and -80˚C respectively until analysis.
Extraction and analysis of antibacterials in dry blood spot and dry urine spot sam-
ples. The whole diameter disk (containing 200μl of blood or urine) was cut out from each
DBS and DUS. The cut disc was placed in an Eppendorf tube (1.5 mL capacity) and mixed
with 1000 μL of methanol (20%) and acetonitrile (80%). The sample was vortex-mixed twice
for 20 s at 10-min intervals and then centrifuged at 3500 revolutions per minute (RPM) for 5
minutes. After the extraction period, the filter paper was removed, and 500 μL of the extract
was transferred into an auto-sampler vial to be injected onto the LC-MS/MS system for
analysis.
A simple, fast, sensitive and selective qualitative LC-MS/MS method for identification of
fifteen (15) antibacterials in DBS and DUS was used for analysis (S3 Appendix). The limit
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PLOS ONEValidity of caregivers’ reports on prior use of antibacterials in children under five years
of detection for the different antibacterials were: amoxicillin (1.34 ng/mL), ampicillin
(0.001 ng/mL), penicillin G (0.005 ng/mL), penicillin V (0.03 ng/mL), cloxacillin (0.2 ng/mL),
cephalexin (0.22 ng/mL), sulfamethoxazole (0.95 ng/mL), trimethoprim (0.52 ng/mL), eryth-
romycin (1.1 ng/mL), ciprofloxacin (0.1 ng/mL), tetracycline (0.14 ng/mL), clarithromycin
(1.4 ng/mL), metronidazole (0.0004 ng/mL), chloramphenicol (0.0001ng/mL) and azithromy-
cin (0.22 ng/mL).
Data on key pharmacokinetics properties that may have affected the interpretation of our
results, have been presented in the supporting information section (S1 Table), and these
include: clearance, terminal half-life, percentage of medicine excreted in urine, time to peak
plasma concentrations and volume of distribution.
Data management
Double data entry was done using Epi-Data 3.1 software for both the questionnaire and labora-
tory data. The two datasets were reconciled by comparing them for each field in the question-
naire and laboratory result, in case of any discrepancies, the corresponding questionnaire or
patient laboratory record was checked to establish the correct entry. Data were then imported
into Stata 14/IC (Stata Inc., Texas USA) for analysis.
Statistical analysis
Descriptive statistics were presented using median and interquartile range (IQR) for continu-
ous variables or frequencies and proportions for categorical variables. The dependent vari-
ables, treatment of child with antibacterials prior to healthcare facility visit as reported by their
caregiver and detectable antibacterials in DBS or DUS samples, were summarized as propor-
tions. In order to adjust for potential biases associated with point estimates from the sampling
design, we used svy commands in stata to compute proportions and respective 95% confidence
intervals. Pearson’s chi-square test was used to assess associations for the categorical variables.
In order to validate caregivers’ reported use of antibacterials, sensitivity, specificity, positive
predictive value (PPV), negative predictive value (NPV), prevalence, agreement and kappa
coefficient were calculated. Laboratory results for detection of antibacterials in dry blood spot
or dry urine spot samples were considered as the gold standard and caregivers’ reports of use
of antibacterials prior to health facility visit were considered as the test results.
Results
Socio-demographic characteristics of the caregivers and children under five
years
Of the 385 sampled children, 355 (92.2%) had data on both caregiver’s report on antibacterial
use prior to health facility visit and results from urine and blood analysis and were thus
included in the analysis. The 30 (7.8%) observations were dropped because they were missing
blood analysis data. Over half (53.2%, n = 189) of the children were female. The median age of
the children was 29 (IQR: 16–46) months. The majority (96.1%, n = 341) of the caregivers
were female. The median age of the caregivers was 25 (IQR: 21–31) years. About half (53.2%,
n = 189) of the children attended a healthcare facility located in a rural area. (Table 1).
Prevalence of antibacterial use prior to coming to the health facility as
reported by caregivers of children under five years
Out of the 355 children under five years who were included in the analysis, 51 (14.4%, CI:
10.9–18.5) were reported by the caregivers to have been treated with antibacterials prior to
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PLOS ONEValidity of caregivers’ reports on prior use of antibacterials in children under five years
Table 1. Socio-demographic characteristics and prevalence of antibacterial use in children under five years prior to health facility visit as reported by caregivers of
children under five years in rural communities of Gulu district, northern Uganda (August, 2019).
Characteristics
Description
Respondent’s
Frequency (%)
Proportion of reported
antibacterial use, n (%)
95% CI
P-value (Pearson’s
chi-square test)
Overall
Sex of child
Location of health facility
Age of child (months)
Age of child caregiver (years)
Sex of child caregiver
Source of antibacterials
355 (100)
166 (46.8)
189 (53.2)
166 (46.8)
189 (53.2)
64 (18.0)
176 (49.6)
115 (32.4)
121 (34.1)
168 (47.3)
51 (14.4)
7 (2.0)
8 (2.2)
14 (3.9)
341 (96.1)
Male
Female
Urban
Rural
1–12
13–36
37–59
13–22
23–32
33–42
43–52
� 53
Male
Female
Home cabinet
Public health facility
Private clinics
Drug shops
Retail shops
Traditional healers
Antibacterials recommended by
Caregiver
Other household member
Friend/neighbor
Doctor/nurse
Drug seller/pharmacist
Traditional healer
Age of child (months), median (IQR)
Age of child caregiver (years), median (IQR)
29 (16.46)
25 (21.31)
n: Sample size; CI: Confidence Interval; %: Percentage; IQR: Interquartile range
https://doi.org/10.1371/journal.pone.0257328.t001
51 (14.4)
22 (13.3)
29 (15.3)
36 (21.7)
15 (7.9)
6 (9.4)
32 (18.2)
13 (11.3)
15 (12.4)
27 (16.1)
7 (13.7)
1 (14.3)
1 (12.5)
1 (7.1)
50 (14.7)
11 (23.9)
9 (37.5)
8 (30.8)
18 (35.3)
4 (30.8)
1 (50)
11 (31.4)
3 (37.5)
1 (25.0)
17 (34.0)
18 (29.0)
1 (33.3)
0.575
<0.001
0.119
0.936
0.432
<0.001
10.9–18.5
8.9–19.4
10.9–21.3
16.0–28.6
4.8–12.8
4.2–19.5
13.1–24.6
6.7–18.6
7.6–19.6
11.2–22.5
6.6–26.3
1.7–62.3
1.5–57.5
0.9–39.0
11.3–18.9
12.5–38.8
18.8–59.4
14.3–51.8
22.4–49.9
9.1–61.4
1.3–98.7
16.9–49.3
0.253
8.5–75.5
0.6–80.6
21.2–48.8
18.2–41.9
0.8–90.6
coming to the healthcare facility. Of these 51 children, the prevalence of antibacterial use was
higher in those from urban areas (21.7%, CI: 16.0–28.6) and in those who got antibacterials
from public health facilities (37.5%, CI: 18.8–59.4) (Table 1).
Prevalence of antibacterials detected in blood and urine samples of
children under five years
Of the 355 children under five years who were included in the analysis, 226 (63.7%, CI: 58.4–
68.7) had detectable levels of antibacterials in urine or blood in the samples taken upon arrival
to the healthcare facility (Table 2).
Most commonly used antibacterials. The most commonly used antibacterials as reported
by the care givers were amoxicillin (6.2%, 22/355), cotrimoxazole (2.8%, 10/355), and metroni-
dazole (2.3%, 8/355). The most common antibacterials detected from the laboratory analysis
were cotrimoxazole (29%, 103/355), ciprofloxacin (13%, 46/355), and metronidazole (9.9%,
35/355) (Fig 1)
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PLOS ONEValidity of caregivers’ reports on prior use of antibacterials in children under five years
Table 2. Prevalence of antibacterials detected in blood or urine samples of children under five years in rural communities of Gulu district, northern Uganda
(August, 2019).
Characteristics
Description
Respondent’s
Frequency (%)
Proportion of
antibacterial detected, n (%)
Overall
Sex of child
Location of health facility
Age of child (months)
Age of child caregiver (years)
Sex of child caregiver
Male
Female
Urban
Rural
1–12
13–36
37–59
13–22
23–32
33–42
43–52
� 53
Male
355 (100)
166 (46.8)
189 (53.2)
166 (46.8)
189 (53.2)
64 (18.0)
176 (49.6)
115 (32.4)
121 (34.1)
168 (47.3)
51 (14.4)
7 (2.0)
8 (2.2)
14 (3.9)
226 (63.7)
108 (65.1)
118 (62.4)
103 (62.0)
123 (65.1)
45 (70.3)
112 (63.6)
69 (60.0)
83 (68.6)
99 (58.9)
36 (70.6)
5 (71.4)
3 (37.5)
8 (57.1)
Female
341 (96.1)
218 (63.9)
n: Sample size; CI: Confidence Interval; %: Percentage
https://doi.org/10.1371/journal.pone.0257328.t002
95% CI
58.4–68.7
57.5–71.9
55.3–69.1
54.4–69.1
57.9–71.6
57.9–80.3
56.2–70.4
50.7–68.6
59.7–76.3
51.3–66.2
56.6–81.5
29.7–93.7
11.4–73.6
30.7–80.1
58.7–68.9
P-value (Pearson’s
chi-square test)
0.608
0.554
0.389
0.164
0.605
Validity of caregivers’ reports of antibacterial intake in children under five
years
The sensitivity, specificity, PPV, NPV, agreement and kappa coefficient of the caregivers’
reports of use of antibacterials for treatment of children prior to healthcare facilities visit were
17.3% (12.6–22.8), 90.7% (84.3–95.1), 76.5% (62.5–87.2), 38.5% (33.0–44.2), 43.9% (38.7–
49.3%) and 0.06 (0.01–0.12) respectively. The sensitivity, specificity, PPV,NPV, agreement and
kappa coefficient varied between the different antibacterials (see Table 3).
Discussion
In this study we demonstrated that the prevalence of antibacterial use prior to health facility
visit was high and that caregivers under reported the use of antibacterials in the children under
five years prior to coming to the health facility. Antibacterial use prior to healthcare facility
visit is a common practice in many resource limited settings globally. Caregivers’ ability to
report antibacterial use before coming to the health facility is crucial for appropriate prescrip-
tion of antibacterial upon reaching health facilities [5]. Appropriate prescription of antibacter-
ials is important because it reduces the emergence of antibacterial resistance, poor clinical
outcomes, increased mortality and wastage of financial resources [19].
In the current study, almost two thirds (63.7%) of the samples (blood and/or urine) tested
positive for antibacterials. This implies that the prevalence of antibacterial use prior to health
facility visit is much higher than what was self-reported (14.4%). This finding is similar to
those from other low and middle income countries (LMIC) [4, 5, 10], a study carried out in
Ghana reported a prevalence of self-reported antibacterial use prior to health facility visit of
13%, however, analysis of urine samples reported a much higher prevalence of 64% [10]. In
Uganda, self-medication with antibacterials is a common practice [1, 4, 20] which is reflected
in the high prevalence of antibacterials found in the samples (blood and/or urine) in the cur-
rent study [1]. Another reason for the high prevalence of antibacterial use in our study is the
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PLOS ONEValidity of caregivers’ reports on prior use of antibacterials in children under five years
Fig 1. Commonly used antibacterials according to the laboratory analysis.
https://doi.org/10.1371/journal.pone.0257328.g001
high prevalence of infectious diseases in these communities. In Uganda, 71% of children
under five years attending healthcare facilities do so due to acute respiratory infections [21],
however, in the community in this study, the most common diseases in children under five
years seeking care at healthcare facilities include; malaria, diarrhea, pneumonia, acute child-
hood malnutrition and HIV/AIDS [15–17]. High prevalence of antibacterials found in the
samples in the current study could also be due to exposure to antibacterials through
Table 3. Validity of caregivers’ reports of antibacterial intake in children under five years in rural communities of Gulu district, northern Uganda (August, 2019).
Parameters
Sensitivity (95% CI)
Specificity (95% CI)
PPV (95% CI)
NPV (95% CI)
Prevalence (95% CI)
Agreement (95% CI)
κ (95% CI)
Overall
17.3 (12.6–22.8)
90.7 (84.3–95.1)
76.5 (62.5–87.2)
38.5 (33.0–44.2)
63.7 (58.4–68.7)
43.9 (38.7–49.3)
0.06 (0.01–0.12)
Amoxicillin
5.6 (0.1–27.3)
93.8 (90.6–96.1)
4.5 (0.1–22.8)
94.9 (92.0–97.0)
5.1 (3.0–7.9)
89.3 (85.6–92.3)
Cotrimoxazole
5.8 (2.3–12.2)
98.4 (96.0–99.6)
60.0 (26.3–87.8)
71.9 (66.8–76.6)
29.0 (24.3–34.0)
71.5 (66.5–76.2)
-0.01 (-0.11–0.09)
0.06 (-0.01–0.12)
Metronidazole
2.9 (0.1–14.9)
97.8 (95.5–99.1)
12.5 (0.3–52.7)
90.2 (86.6–93.1)
9.9 (7.0–13.4)
88.5 (84.7–91.6)
0.01 (-0.08–0.1)
Ciprofloxacin
4.3 (0.5–14.8)
99.7 (98.2–100)
66.7 (9.4–99.2)
87.5 (83.6–90.8)
13.0 (9.6–16.9)
87.3 (83.4–90.6)
0.07 (-0.03–0.16)
%: percentage; CI: Confidence interval; κ: Kappa coefficient
https://doi.org/10.1371/journal.pone.0257328.t003
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PLOS ONEValidity of caregivers’ reports on prior use of antibacterials in children under five years
consumption of water, vegetables and animal products [22, 23]. In the Hong Kong survey to
determine the presence of veterinary antibiotics in food, drinking water, and the urine of pre-
school children, it was found that 13 veterinary antibiotics were detectable in the urine of
77.4% of primary school children with norfloxacin and penicillin having the highest detection
rates. Enrofloxacin, penicillin, and erythromycin were the most detected veterinary antibiotics
in raw and cooked food [21]. Studies in Uganda, report a high prevalence of veterinary use of
antibacterials. The most commonly used antibacterials in veterinary medicine in Uganda
include; procaine penicillin, trimethoprim/sulfadiazine, erythromycin sulphate, tylosin tar-
trate, oxytetracycline hydrochloride [24, 25]. This high prevalence of antibacterial use can lead
to increased risk of resistance within the community [26]. A study was carried out in Uganda
to determine the epidemiology and antibiotic susceptibility of Vibrio cholerae associated with
the 2017 outbreak in Kasese district, and it reported that V. cholerae was highly resistant to the
commonly used antibiotics [27].
Most caregivers reported to have given their children amoxicillin, cotrimoxazole and met-
ronidazole. This is consistent with reports from a study in northern Uganda where metronida-
zole, amoxicillin, ciprofloxacin, doxycycline or cotrimoxazole were reported as the most
commonly used antibacterials by patients prior to hospital visit [4]. Metronidazole is com-
monly used for bacterial gastroenteritis, amoxicillin is used for bacterial chest infections, and
cotrimoxazole is used to treat pneumonia, bronchitis, infections of the urinary tract, ears intes-
tines and as prophylaxis against opportunistic infections in HIV [28, 29]. In our study the
most commonly detected antibacterials in the laboratory analysis results were cotrimoxazole,
ciprofloxacin and metronidazole, similar to findings from a study carried out in Ghana which
reported ciprofloxacin, trimethoprim or metronidazole as the most common antibacterials
detected in urine samples [30]. Ciprofloxacin is commonly used to treat pneumonia, typhoid
fever, infectious diarrhea, skin and bone infections [28, 29]. Amoxicillin was the most com-
monly reported antibacterial used and yet it was not among the most commonly detected anti-
bacterials from the laboratory analysis. This could be explained by the pharmacokinetics of
amoxicillin, which has a very short half-life of about 1 hour and will usually be out of the sys-
tem within 5 hours. Thus, meaning that for it to be detected in the blood or urine samples, it
should have been taken within a few hours before healthcare facility visit [28, 29]. We also
observed that the number of children who had cotrimoxazole in their biological samples was
higher than those who reported the use. It is possible that some of these children may have
tested positive for cotrimoxazole since they could have been receiving it as prophylaxis against
opportunistic infections in HIV [31, 32]. The prevalence of HIV/AIDS in northern Uganda as
of 2019 when data for this study was collected, was 7.2% in adults and 0.5% in children under
five years [33]. Since we were interested in antibacterial use for current illness, for which the
children were brought to the healthcare facility, caregivers might not have found it not neces-
sary to report the use of cotrimoxazole as prophylaxis against opportunistic infections in HIV.
The positive predicative value we found for reported use of antibacterials is not high enough
to allow caregivers reports to guide treatment. The high specificity values indicate under
reporting but the negative predictive value indicate that many children were given drugs that
were not reported by caregivers. This study was carried out in rural communities of Gulu dis-
trict in Uganda where the adult literacy levels are low [1, 20], and the inconsistencies in care-
givers’ response to interview questions and laboratory findings, could have been because of
caregivers inability to identify medicines taken as antibacterials. Another reason for the incon-
sistencies in self-reported antibacterial use and laboratory findings could have been due to
social desirability bias [34]. The caregivers could have been aware that self-medication is not a
good practice, and therefore feared to tell the interviewers the truth. Another reason for the
inconsistencies could have been due to consumption of these medicines from diffuse sources
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PLOS ONEValidity of caregivers’ reports on prior use of antibacterials in children under five years
such as milk, water or food, studies in Uganda have reported veterinary use of antibacterials
[24, 25]. Another worrying explanation for the inconsistencies could be the quality of antibac-
terial medicines, some of these antibacterials may not contain the actual quantity of the active
medicine the manufacturers claim they contain. Although we did not set out to study the qual-
ity of antibacterials in this study, high prevalence of substandard antibacterial medicines has
been previously reported in developing countries [35]. Furthermore, inaccuracies in self-
reports may lead to duplication of therapy, incorrect management of the ill child, failure to
appreciate non-compliance leading to exacerbation of chronic medical conditions, or inaccu-
rate research conclusions [36].
We observed a strong association between high self-reported prior antibacterial use and the
source of antibacterials being from public health facilities. This could be attributed to the low
financial status of the people in these communities [1] forcing them to seek free healthcare
from public healthcare facilities. The district-based healthcare system in Uganda consists of
level I, II, III, IV and district hospitals [11]. This therefore means that by the time these chil-
dren were brought to health care level III and IV, they could have already sought care from the
lower levels and were referred to these higher levels for further management.
There is need for further research to understand the reasons for caregivers’ poor reports on
their children’s prior intake of antibacterials before coming to the health facility. Improved
validity could be promoted by encouraging health care workers to carefully explain to the care-
givers the medicines they administer to these children when they fall sick. Proper documenta-
tion of the medicines given to these children when they are sick could also improve the validity
of self-reported medicine use. There is need for the healthcare workers to educate the caregiv-
ers about the dangers of using antibacterials without consulting a healthcare worker, and also
further research is required to better understand why caregivers initiate antibacterial use at
home without consulting a healthcare service provider. This all will allow policy makers to be
better informed when planning interventions to reduce the large amount of incorrect antibac-
terial use in the community.
The results of our study should be considered in light of some limitations. This study could
have been affected by recall bias, where antibacterials given may have been forgotten. The
study could have also been affected by social desirability bias since the study was carried out in
a hospital setting and probably caregivers feared telling the truth because they thought it could
affect patient care. Under reporting could have been affected by how the questions were
understood by the caregivers. Failure to detect some of the antibacterials in the samples could
have been due to the pharmacokinetics of the antibacterials. Factors such as education level of
the caregivers could have contributed to the under reporting of antibacterial use prior to
healthcare facility visit, however, we didn’t collect this information. This is because adult liter-
acy levels in this community are low [1, 20] and to our knowledge previous studies have not
reported associations between self-report and education level [10, 37]. However, there is need
for further research to determine if there’s an association between caregivers’ education level
and reporting of prior antibacterial use in this setting. The discrepancy between the reported
use and the detected antibacterials in blood/urine samples could have also been because the
antibacterial could have been given for the management of another condition, such as cotri-
moxazole for prophylaxis against HIV related opportunistic infections, but we did not collect
this information. Our tool was designed to capture only antibacterial use for the illness for
which the children were brought to the healthcare facility. We were unable to report the levels
of antibacterials in relation to how far back the antibacterials were taken, this is because we
used a qualitative LC-MS/MS method which was developed to report the presence or absence
of antibacterials and not to quantify them.
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PLOS ONEValidity of caregivers’ reports on prior use of antibacterials in children under five years
Conclusion
A high proportion of children under five years take antibacterials prior to visiting a healthcare
facility in northern Uganda. However, there is low validity of caregivers’ reports on prior
intake of antibacterials by these children. There is need for further research to understand the
factors associated with under reporting of prior antibacterial medicine use by caregivers of
children under five years. In addition, we suggest that health care workers should endeavor to
explain the role and names of medicines during dispensing, as well as the importance of
reporting correctly on prior medication intake. There is also need to educate the caregivers
about the dangers of using antibacterials without consulting a healthcare worker, and also fur-
ther research is required to better understand why caregivers initiate antibacterial use at home
without consulting a healthcare service provider. This all will allow policy makers to be better
informed when planning interventions to reduce the large amount of incorrect antibacterial
use in the community.
Supporting information
S1 Table. Summary of key pharmacokinetic properties of some of the antibacterials that
are commonly used among children under five years in rural communities of Gulu district,
northern Uganda (August, 2019).
(DOCX)
S1 Appendix. Ethical approval letters.
(DOCX)
S2 Appendix. Consent form.
(DOCX)
S3 Appendix. LC-MS/MS method.
(DOCX)
S4 Appendix. Questionnaire.
(DOCX)
Acknowledgments
We appreciate the tireless effort of the data collection team; Apio Patricia, Ojok Albert, Kagood
Francis, Hassan Chakaal and the village local chair persons for their guidance.
Author Contributions
Conceptualization: Hindum Lanyero, Moses Ocan, Celestino Obua, Cecilia Stålsby Lund-
borg, Joan N. Kalyango, Jaran Eriksen.
Data curation: Hindum Lanyero, Joan N. Kalyango, Jaran Eriksen.
Formal analysis: Hindum Lanyero, Katureebe Agaba.
Funding acquisition: Celestino Obua, Cecilia Stålsby Lundborg, Joan N. Kalyango, Jaran
Eriksen.
Investigation: Hindum Lanyero, Sarah Nanzigu.
Methodology: Hindum Lanyero, Moses Ocan, Katureebe Agaba, Joan N. Kalyango, Sarah
Nanzigu.
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PLOS ONEValidity of caregivers’ reports on prior use of antibacterials in children under five years
Project administration: Moses Ocan, Celestino Obua, Cecilia Stålsby Lundborg, Joan N.
Kalyango, Jaran Eriksen.
Resources: Hindum Lanyero, Jaran Eriksen.
Software: Hindum Lanyero.
Supervision: Moses Ocan, Celestino Obua, Cecilia Stålsby Lundborg, Joan N. Kalyango, Jaran
Eriksen, Sarah Nanzigu.
Validation: Hindum Lanyero, Jaran Eriksen, Sarah Nanzigu.
Visualization: Hindum Lanyero.
Writing – original draft: Hindum Lanyero.
Writing – review & editing: Hindum Lanyero, Moses Ocan, Celestino Obua, Cecilia Stålsby
Lundborg, Katureebe Agaba, Joan N. Kalyango, Jaran Eriksen, Sarah Nanzigu.
References
1. Ocan M, Bwanga F, Bbosa GS, Bagenda D, Waako P, Ogwal-Ogeng J, et al. Patterns and predictors of
self-medication in Northern Uganda. PLoS ONE. 2014; 9(3):e92323. https://doi.org/10.1371/journal.
pone.0092323 PMID: 24658124
2. Wellcome Trust, UK Government. Safe, secure and controlled:managing the supply chain of antimicro-
bials. Review on antimicrobial Resistance. 2015.
3. Ministry of Health Uganda. Uganda National Drug Policy. 2002. Available from: http://library.health.go.
ug/publications/policy-documents/uganda-national-drug-policy-2002.
4. Ocan M, Manabe YC, Baluku H, Atukwase E, Ogwal-Okeng J, Obua C. Prevalence and predictors of
prior antibacterial use among patients presenting to hospitals in Northern Uganda. BMC Pharmacology
and Toxicology. 2015; 16(1):26. https://doi.org/10.1186/s40360-015-0027-8 PMID: 26407973
5. Hildenwall H, Lindkvist J, Tumwine JK, Bergqvist Y, Pariyo G, Tomson G, et al. Low validity of caretak-
ers’ reports on use of selected antimalarials and antibiotics in children with severe pneumonia at an
urban hospital in Uganda. Transactions of the Royal Society of Tropical Medicine and Hygiene. 2009;
103(1):95–101. https://doi.org/10.1016/j.trstmh.2008.04.046 PMID: 18678381
6. Omolase C, Adeleke O, Afolabi A, Ofolabi O. Self medication amongst general outpatients in a Nigerian
community hospital. Annals of Ibadan postgraduate medicine. 2007; 5(2):64–7. https://doi.org/10.4314/
aipm.v5i2.64032 PMID: 25161435
7. Moise K, Bernard JJ, Henrys JH. Evaluation of antibiotic self-medication among outpatients of the state
university hospital of Port-Au-Prince, Haiti: a cross-sectional study. Pan African Medical Journal. 2017;
28(1). https://doi.org/10.11604/pamj.2017.28.4.12589 PMID: 29138650
8. Stirratt MJ, Dunbar-Jacob J, Crane HM, Simoni JM, Czajkowski S, Hilliard ME, et al. Self-report mea-
sures of medication adherence behavior: recommendations on optimal use. Transl Behav Med. 2015; 5
(4):480–2. https://doi.org/10.1007/s13142-015-0315-2 PMID: 26622919
9. Nsimba SE, Massele AY, Eriksen J, Gustafsson LL, Tomson G, Warsame M. Case management of
malaria in under-fives at primary health care facilities in a Tanzanian district. Trop Med Int Health. 2002;
7(3):201–9. https://doi.org/10.1046/j.1365-3156.2002.00847.x PMID: 11903982
10.
Lerbech AM, Opintan JA, Bekoe SO, Ahiabu M-A, Tersbøl BP, Hansen M, et al. Antibiotic exposure in a
low-income country: screening urine samples for presence of antibiotics and antibiotic resistance in
coagulase negative staphylococcal contaminants. PLoS One. 2014; 9(12):e113055. https://doi.org/10.
1371/journal.pone.0113055 PMID: 25462162
11. Kamwesiga J. Uganda Health Care System. Kampala, Uganda: Makerere University. 2011. https://doi.
org/10.1186/1745-6215-12-192 PMID: 21838913
12. Ministry of Health Uganda. National Health Facilty Master List. 2017. Available from: http://library.
health.go.ug/sites/default/files/resources/National%20Health%Facility%MasterLlist%202017.pdf.
13. National Drug Authority. Licensed Out-lets. 2021.Available from: https://www.nda.or.ug/licensed-
outlets/.
14. National Drug Authority. Drug Shops Licensed. 2021. Available from: https://www.nda.or.ug/drug-
shops-licensed-in-2020/#1539347133280-41e0655f-3957.
PLOS ONE | https://doi.org/10.1371/journal.pone.0257328 September 16, 2021
12 / 14
PLOS ONEValidity of caregivers’ reports on prior use of antibacterials in children under five years
15. Simple O, Mindra A, Obai G, Ovuga E, Odongo-Aginya EI. Influence of Climatic Factors on Malaria Epi-
demic in Gulu District, Northern Uganda: A 10-Year Retrospective Study. Malar Res Treat. 2018;
2018:5482136. https://doi.org/10.1155/2018/5482136 PMID: 30186590
16. Omona S, Malinga GM, Opoke R, Openy G, Opiro R. Prevalence of diarrhoea and associated risk fac-
tors among children under five years old in Pader District, northern Uganda. BMC Infectious Diseases.
2020; 20(1):1–9. https://doi.org/10.1186/s12879-020-4770-0 PMID: 31931735
17. Namakula J, Ssengooba F, Ssali S. Country situation analysis: northern Uganda. ReBUILD Consotium
Kampala: Makerere University School of Public Health. 2011. Available from: https://www.
rebuildconsortium.com/media/1024/country-situation-analysis-uganda.pdf
18. Kish Leslie. Survey Sampling. New York, United States: John Wiley & Sons Inc; 1995.
19. O’Connor R, O’Doherty J, O’Regan A, Dunne C. Antibiotic use for acute respiratory tract infections
(ARTI) in primary care; what factors affect prescribing and why is it important? A narrative review. Irish
Journal of Medical Science (1971-). 2018; 187(4):969–86.
20.
Lanyero H, Eriksen J, Obua C, Stålsby Lundborg C, Nanzigu S, Katureebe A, et al. Use of antibacterials
in the management of symptoms of acute respiratory tract infections among children under five years in
Gulu, northern Uganda: Prevalence and determinants. PloS one. 2020; 15(6):e0235164. https://doi.
org/10.1371/journal.pone.0235164 PMID: 32574206
21. UNICEF. Uganda (UGA)-Demographics, Health & Infant mortality-UNICEF DATA. 2020. Available
from: https://data.unicef.org/country/uga/.
22. Radyowijati A, Haak H. Improving antibiotic use in low-income countries: an overview of evidence on
determinants. Social science & medicine. 2003; 57(4):733–44. https://doi.org/10.1016/s0277-9536(02)
00422-7 PMID: 12821020
23.
Li N, Ho KW, Ying G-G, Deng W-J. Veterinary antibiotics in food, drinking water, and the urine of pre-
school children in Hong Kong. Environment international. 2017; 108:246–52. https://doi.org/10.1016/j.
envint.2017.08.014 PMID: 28889029
24. Nayiga S, Kayendeke M, Nabirye C, Willis LD, Chandler CI, Staedke SG. Use of antibiotics to treat
humans and animals in Uganda: a cross-sectional survey of households and farmers in rural, urban and
peri-urban settings. JAC-Antimicrobial Resistance. 2020; 2(4):dlaa082. https://doi.org/10.1093/jacamr/
dlaa082 PMID: 34223037
25. Bashahun D, Odoch T. Assessment of antibiotic usage in intensive poultry farms in Wakiso District,
Uganda. Livestock Research for Rural Development. 2015; 27(12).
26. Austin DJ, Kristinsson KG, Anderson RM. The relationship between the volume of antimicrobial con-
sumption in human communities and the frequency of resistance. Proceedings of the National Academy
of Sciences. 1999; 96(3):1152–6. https://doi.org/10.1073/pnas.96.3.1152 PMID: 9927709
27.
Iramiot JS, Rwego IB, Kansiime C, Asiimwe BB. Epidemiology and antibiotic susceptibility of Vibrio cho-
lerae associated with the 2017 outbreak in Kasese district, Uganda. BMC public health. 2019; 19(1):1–
9. https://doi.org/10.1186/s12889-018-6343-3 PMID: 30606151
28. Rang HP, Ritter JM, Flower R, Henderson G. Rang & Dale’s pharmacology E-book. Elsevier Health
Sciences; 2014. Available from: https://www.elsevier.com/books/rang-andampamp-dales-
pharmacology/ritter/978-0-7020-5362-7
29.
30.
Flower RJ, Henderson G, Loke YK, MacEwan D, Rang HP. Rang & Dale’s Pharmacology E-Book:
Elsevier Health Sciences; 2018. Available from: https://www.elsevier.com/books/rang-and-dales-
pharmacology/ritter/978-0-7020-7448-6
Lerbech AM, Opintan JA, Bekoe SO, Ahiabu M-A, Tersbøl BP, Hansen M, et al. Antibiotic exposure in a
low-income country: screening urine samples for presence of antibiotics and antibiotic resistance in
coagulase negative staphylococcal contaminants. PloS one. 2014; 9(12):e113055. https://doi.org/10.
1371/journal.pone.0113055 PMID: 25462162
31. Badri M, Ehrlich R, Wood R, Maartens G. Initiating co-trimoxazole prophylaxis in HIV-infected patients
in Africa: an evaluation of the provisional WHO/UNAIDS recommendations. AIDS (London, England).
2001; 15(9):1143–8. https://doi.org/10.1097/00002030-200106150-00009 PMID: 11416716
32. Mermin J, Lule J, Ekwaru JP, Downing R, Hughes P, Bunnell R, et al. Cotrimoxazole prophylaxis by
HIV-infected persons in Uganda reduces morbidity and mortality among HIV-uninfected family mem-
bers. AIDS (London, England). 2005; 19(10):1035–42. https://doi.org/10.1097/01.aids.0000174449.
32756.c7 PMID: 15958834
33. Ministry of Health Uganda. THE 2019 HIV EPIDEMIOLOGICAL SURVEILLANCE REPORT FOR
UGANDA. 2020. Available from: https://www.health.go.ug/cause/the-2019-hiv-epidemiological-
surveillance-report-for-uganda/.
34.
Johnson LC, Beaton R, Murphy S, Pike K. Sampling bias and other methodological threats to the valid-
ity of health survey research. International Journal of Stress Management. 2000; 7(4):247–67.
PLOS ONE | https://doi.org/10.1371/journal.pone.0257328 September 16, 2021
13 / 14
PLOS ONEValidity of caregivers’ reports on prior use of antibacterials in children under five years
35. Caudron JM, Ford N, Henkens M, Mace C, Kiddle-Monroe R, Pinel J. Substandard medicines in
resource-poor settings: a problem that can no longer be ignored. Tropical Medicine & International
Health. 2008; 13(8):1062–72.
36. Monte AA, Heard KJ, Hoppe JA, Vasiliou V, Gonzalez FJ. The accuracy of self-reported drug ingestion
histories in emergency department patients. The Journal of Clinical Pharmacology. 2015; 55(1):33–8.
https://doi.org/10.1002/jcph.368 PMID: 25052325
37. Hafferty JD, Campbell AI, Navrady LB, Adams MJ, MacIntyre D, Lawrie SM, et al. Self-reported medica-
tion use validated through record linkage to national prescribing data. Journal of clinical epidemiology.
2018; 94:132–42. https://doi.org/10.1016/j.jclinepi.2017.10.013 PMID: 29097340
PLOS ONE | https://doi.org/10.1371/journal.pone.0257328 September 16, 2021
14 / 14
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10.3389_fpsyt.2022.1086038.pdf
| null |
Data availability statement The datasets presented in this article are not readily available because ethics approval did not include public data sharing. Requests to access the datasets should be directed to the corresponding author. organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.
|
fpsyt-13-1086038
January 13, 2023
Time: 17:35
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OPEN ACCESS
EDITED BY
Nuno Madeira,
University of Coimbra, Portugal
REVIEWED BY
Sandra Vieira,
Institute of Psychiatry, Psychology and
Neuroscience, King’s College London,
United Kingdom
Marco Simoes,
University of Coimbra, Portugal
João Valente Duarte,
University of Coimbra, Portugal
*CORRESPONDENCE
Diana Prata
diana.prata@kcl.ac.uk
SPECIALTY SECTION
This article was submitted to
Neuroimaging,
a section of the journal
Frontiers in Psychiatry
RECEIVED 31 October 2022
ACCEPTED 29 December 2022
PUBLISHED 19 January 2023
CITATION
Tavares V, Vassos E, Marquand A, Stone J,
Valli I, Barker GJ, Ferreira H and Prata D (2023)
Prediction of transition to psychosis from an
at-risk mental state using structural
neuroimaging, genetic, and environmental
data.
Front. Psychiatry 13:1086038.
doi: 10.3389/fpsyt.2022.1086038
COPYRIGHT
© 2023 Tavares, Vassos, Marquand, Stone, Valli,
Barker, Ferreira and Prata. This is an
open-access article distributed under the terms
of the Creative Commons Attribution License
(CC BY). The use, distribution or reproduction in
other forums is permitted, provided the original
author(s) and the copyright owner(s) are
credited and that the original publication in this
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academic practice. No use, distribution or
reproduction is permitted which does not
comply with these terms.
TYPE Original Research
PUBLISHED 19 January 2023
DOI 10.3389/fpsyt.2022.1086038
Prediction of transition to
psychosis from an at-risk mental
state using structural
neuroimaging, genetic, and
environmental data
Vânia Tavares1,2, Evangelos Vassos3,4, Andre Marquand5,6,
James Stone7, Isabel Valli8,9, Gareth J. Barker10, Hugo Ferreira1 and
Diana Prata1,11*
1Instituto de Biofísica e Engenharia Biomédica, Faculdade de Ciências, Universidade de Lisboa, Lisbon,
Portugal, 2Faculdade de Medicina, Universidade de Lisboa, Lisbon, Portugal, 3Social, Genetic
and Developmental Psychiatry Centre, Institute of Psychiatry, Psychology and Neuroscience, King’s College
London, London, United Kingdom, 4National Institute for Health Research Maudsley Biomedical Research
Centre, South London and Maudsley National Health System Trust, London, United Kingdom, 5Donders
Centre for Cognitive Neuroimaging, Donders Institute for Brain, Cognition and Behaviour, Radboud
University, Nijmegen, Netherlands, 6Department of Cognitive Neuroscience, Radboud University Medical
Centre, Nijmegen, Netherlands, 7Brighton and Sussex Medical School, University of Sussex, Brighton,
United Kingdom, 8Department of Psychosis Studies, Institute of Psychiatry, Psychology and Neuroscience,
King’s College London, London, United Kingdom, 9Institut d’Investigacions Biomèdiques August Pi i Sunyer,
University of Barcelona, Barcelona, Spain, 10Department of Neuroimaging, Institute of Psychiatry, Psychology
and Neuroscience, King’s College London, London, United Kingdom, 11Department of Old Age Psychiatry,
Institute of Psychiatry, Psychology and Neuroscience, King’s College London, London, United Kingdom
Introduction: Psychosis is usually preceded by a prodromal phase in which patients
are clinically identified as being at in an “At Risk Mental State” (ARMS). A few studies
have demonstrated the feasibility of predicting psychosis transition from an ARMS
using structural magnetic resonance imaging (sMRI) data and machine learning (ML)
methods. However, the reliability of these findings is unclear due to possible sampling
bias. Moreover, the value of genetic and environmental data in predicting transition
to psychosis from an ARMS is yet to be explored.
Methods: In this study we aimed to predict transition to psychosis from an ARMS
using a combination of ML, sMRI, genome-wide genotypes, and environmental risk
factors as predictors, in a sample drawn from a pool of 246 ARMS subjects (60 of
whom later transitioned to psychosis). First, the modality-specific values in predicting
transition to psychosis were evaluated using several: (a) feature types; (b) feature
manipulation strategies; (c) ML algorithms; (d) cross-validation strategies, as well as
sample balancing and bootstrapping. Subsequently, the modalities whose at least
60% of the classification models showed an balanced accuracy (BAC) statistically
better than chance level were included in a multimodal classification model.
Results and discussion: Results showed that none of the modalities alone,
i.e.,
neuroimaging, genetic or environmental data, could predict psychosis from an ARMS
statistically better than chance and, as such, no multimodal classification model
was trained/tested. These results suggest that the value of structural MRI data and
genome-wide genotypes in predicting psychosis from an ARMS, which has been
fostered by previous evidence, should be reconsidered.
KEYWORDS
machine learning, biomarker, schizophrenia, ARMS, prognosis
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Tavares et al.
10.3389/fpsyt.2022.1086038
1. Introduction
Psychosis is a severe condition usually within the context of a
mental disorder such as a schizophrenia, some neurological disorders
(e.g., Alzheimer’s disease) or other medical conditions (e.g., induced
by drugs or illicit substances), characterized by a disconnection
from reality (1). The onset of psychosis, when in the context of a
mental disorder, is typically preceded by a prodromal phase that
lasts months to years (2); and usually starts early during adolescence
and precedes the onset of psychotic symptoms by 10 or more years
(3). In this prodromal phase, subtle and subjectively experienced
disturbances in mental processes emerge (basic symptoms). These are
the first manifestations of the neurobiological processes underlying
psychosis and are mainly distinguished from other symptoms (i.e.,
positive or negative symptoms) by their self-experience nature
(4). As the course of the psychotic illness evolves,
increasingly
disabling behavioral symptoms start to emerge, generally called
negative symptoms, in particular a reduction of motivation and/or
expressiveness (5). Additionally, cognitive deficits in attention,
memory, reasoning, lack of concentration and executive functioning
appear (6). Lastly, positive symptoms emerge, such as hallucinations,
delusions, disorganized speech, and behavior (1).
A patient may be clinically identified as being at a late prodromal
phase of psychosis or having an “At Risk Mental State” (hereinafter:
ARMS) if they present a functional decline in association with one or
more of the following commonly used criteria (2, 7): (1) attenuated
psychotic symptoms (APS), such as delusions, hallucinations, or
disorganized speech with a frequency of at least once per week in
the past month; (2) a brief limited intermittent psychotic (BLIP)
episode lasting less than 1 week which resolves without antipsychotic
medication; or (3) a genetic liability to psychosis or schizotypal traits,
i.e., having either a first-degree relative with psychosis or a schizotypal
personality disorder.
Transition to psychosis from an ARMS may be evaluated based
on the severity, frequency, and total duration of the psychotic
symptoms,
i.e., when the subject experiences a first episode of
psychosis (FEP). Subjects with an ARMS and seeking help have a
transition rate to psychosis of about 9% in the first 6 months and
25% in the first 3 years (8) and, in particular, an increased risk
of transition to schizophrenia of 15.7% within an average period
of 2.35 years, as shown by a meta-analysis (9). Thus, most of
the people with an ARMS who later develop a psychotic illness
will be diagnosed with schizophrenia. Furthermore, since about
70% of subjects diagnosed with an ARMS never develop a full-
blown psychotic illness (9), these people may benefit from a less
intensive treatment to ameliorate symptoms or need no treatment
at all. Such increase in treatment cost-effectiveness would represent
a substantial decrease in healthcare costs, and treatment burden to
patients, including pharmacological side effects. However, there is no
method for distinguishing between individuals with an ARMS who
will subsequently develop a psychotic illness from those who will not
(i.e., before a FEP onset).
Given the above need, an effective, precise, and quantitative tool
for the prediction of transition to psychosis from an ARMS has been
sought by several studies employing machine learning (ML) methods
and structural magnetic resonance imaging (sMRI). Indeed, several
studies have consistently showed prediction of transition to psychosis
from as ARMS with accuracies ranging between 74 and 84% (10–
15). Transition to psychosis from an ARMS using only sMRI and
ML was first predicted using whole-brain gray matter volume metrics
with an accuracy of 82% [(15 ARMS who transitioned to psychosis
(ARMS-T) and 18 who did not (ARMS-NT)] (10). This finding was
later replicated: (a) in an independent sample by the same group
[balanced accuracy (BAC) = 84%, 16 ARMS-T and 21 ARMS-NT]
(11); (b) combining both these samples (BAC = 80%, 33 ARMS-T and
33 AMRS-NT) (12); (c) using also one of the above samples for graph-
extracted network metrics from cortical gyrification (BAC = 81%, 16
ARMS-T and 63 ARMS-NT) (15), and regional gray matter metrics
(BAC = 74%, 16 ARMS-T and 19 ARMS-NT) (14); and (d) using
regional gray matter metrics in an independent sample (BAC = 77%,
17 ARMS-T and 17 ARMS-NT; specificity of a replication sample of
individuals with an ARMS who did not develop psychosis = 68%, 40
ARMS-NT) (13). To date, only two, relatively small, ARMS samples
have been used for sMRI and ML analysis: FETZ (10, 12, 15) and
FePsy (11, 12, 14). Thus, the robustness and generalizability of
the above findings are still unclear due to possible specific sample
characteristics, i.e., small sample sizes (from 33 individuals to at
most 79 individuals with ARMS), with several studies stemming
from a single site (10, 11, 13–15) or a combination of previously
studied sites (12), which makes them not actual replications, with one
exception (13).
Interestingly, to the best of our knowledge, genetic data has been
explored for the prediction of the transition to psychosis from an
ARMS only once (16). In this study, a schizophrenia polygenic risk
score (PRS) was able to predict transition to psychosis in individuals
with an European [area under the curve (AUC) = 0.65; 32 ARMS-
T and 92 ARMS-NT] and with a Non-European (AUC = 0.59;
48 ARMS-T and 156 ARMS-NT) ancestry, respectively. This is
despite there being several classification studies showing that genetic
markers can predict schizophrenia (17–22), FEP (23) or ARMS (23),
both of individual polymorphisms (18, 19, 21, 23) or, composite
polygenic scores (20–22), and gene expression profiles (24). From
an environmental exposure perspective, and to the best of our
knowledge, environmental data have never been explored for
predicting individual transition to psychosis from an ARMS.
The combination of neuroimaging measures and genetics or
environmental measures, using ML, has, to the best of our knowledge,
been explored once to predict ARMS prognosis (i.e., transition
to psychosis from an ARMS) in a study running in parallel to
ours (25). Therein, a large sample from the PRONIA project (26
ARMS-T and 308 ARMS-NT from 7 sites) was used to build a
sequential stacked multimodal model using clinical-neurocognitive
(including environmental data), genetic (in the form of a PRS for
schizophrenia) and neuroimaging (in the form of voxel-based gray
matter volume maps) data and - unlike the present study–human
prognostic ratings, showing a final balanced accuracy in predicting
transition to psychosis of 86%.
In the present longitudinal prognostic biomarker study, we
aimed to explore the use of ML models trained with sMRI, genetic,
and environmental baseline data to predict the individual-level
transition to psychosis from an ARMS within a 2-year follow up.
While providing such preliminary (given the unprecedented data
combinations/features and a limited sample size) evidence at the
multimodal level, we took the opportunity to attempt to replicate
previous promising sMRI-ML findings of studies using similar or
smaller sample size (10–15). Methods-wise, we used naturalistically
diverse samples but balanced them for demographic (age and sex)
and imaging (scan acquisition sMRI protocol) variables. We set out
to train and test modality-specific models first and then, provided
Frontiers in Psychiatry
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TABLE 1 Socio-demographic and clinical information of the At Risk Mental State (ARMS) sample with structural MRI data.
Protocol 1
Protocol 2
Protocol 3
Group comparison
i
n
P
s
y
c
h
a
t
r
y
i
Age at baseline (years)
Age at follow-up or transition (years)
Age at scan (years)
Interval between baseline and scan age
(years)
ARMS-T
(n = 14)
23.2 ± 3.4
[15.6 26.9]
25.6 ± 4.2
[17.3 33.4]
23.0 ± 3.6
[17.5 27.8]
–0.2 ± 1.4
[–2.3 1.9]
ARMS-NT
(n = 19)
24.5 ± 4.8
[19.2 34.5]
32.7 ± 5.2
[22.6 43.9]
23.9 ± 4.8
[18.5 34.8]
–0.5 ± 1.1
[–2.3 2.1]
ARMS-T
(n = 3)
26.2 ± 7.0
[20.1 33.8]
29.2 ± 5.4
[20.2 38.8]
27.0 ± 8.2
[20.2 36.1]
0.9 ± 1.3
[0.1 2.4]
ARMS-NT
(n = 16)
24.5 ± 5.2
[17.8 35.3]
28.8 ± 5.6
[22.9 43.1]
25.1 ± 5.4
[18.6 37.4]
0.5 ± 0.5
[0.1 2.1]
ARMS-T
(n = 6)
23.4 ± 4.5
[17.5 29.2]
25.2 ± 4.8
[18.3 31.0]
24.1 ± 4.8
[18.3 30.8]
0.6 ± 0.5
[0.2 1.6]
ARMS-NT
(n = 41)
21.8 ± 4.3
[17.1 33.1]
25.6 ± 4.8
[20.3 41.2]
22.4 ± 4.6
[17.7 38.3]
0.6 ± 1.0
[0.0 5.1]
Sex (male/female)
11/3
9/10
2/1
14/2
3/3
19/22
Handednessa (right/left/ambidextrous)
12/0/1
16/0/0
3/0/0
13/1/0
4/0/0
36/4/0
0
3
Self-reported ethnicity
(White/Black/Asian/other)
7/5/1/1
11/5/1/2
2/1/0/0
13/1/1/1
4/1/1/0
19/19/1/2
Years of education
IQ (z-standardized)b
GAF at baseline
GAF at follow-upc
CAARMS at baselined
CAARMS at follow-upe
13.4 ± 2.1
[10 18]
–1.1 ± 1.1
[–2.1 1.0]
52.9 ± 16.0
[35 90]
49.3 ± 18.6
[10 69]
33.2 ± 13.0
[9 56]
19.6 ± 23.0
[0 63]
13.1 ± 1.9
[10 17]
0.0 ± 1.1
[–2.1 1.8]
57.8 ± 11.4
[35 75]
58.5 ± 17.9
[20 94]
28.4 ± 15.3
[8 58]
11.6 ± 10.9
[0 31]
11.7 ± 2.3
[9 13]
0.1 ± 0.1
[0.0 0.2]
58.7 ± 3.2
[55 61]
27.3 ± 6.8
[22 35]
29.3 ± 21.9
[12 54]
42.0 ± 43.3
[6 90]
14.1 ± 2.6
[11 20]
0.5 ± 0.9
[–1.3 1.6]
58.6 ± 9.9
[41 75]
62.3 ± 13.5
[46 93]
23.2 ± 14.3
[0 51]
14.7 ± 18.4
[0 54]
15.2 ± 2.5
[11 18]
−0.1 ± 1.3
[–2.1 1.6]
50.3 ± 11.4
[35 65]
52.5 ± 20.0
[30 78]
39.7 ± 24.1
[0 69]
42.7 ± 42.1
[0 102]
13.0 ± 2.2
[9 20]
0.1 ± 1.1
[–2.1 3.5]
53.6 ± 14.8
[0 75]
66.2 ± 13.6
[33 87]
28.5 ± 16.7
[0 81]
15.5 ± 17.2
[0 60]
Protocol: p = 0.271
Transition: p = 0.592
Protocol × Transition: p = 0.447
Protocol: p = 0.027*
Transition: p = 0.099
Protocol × Transition: p = 0.025*
Protocol: p = 0.261
Transition: p = 0.499
Protocol × Transition: p = 0.541
Protocol: p < 0.001***
Transition: p = 0.419
Protocol × Transition: p = 0.795
Protocol × Transition:
Protocol 1: p = 0.070
Protocol 2: p = 0.422
Protocol 3: p = 1
Protocol × Transition:
Protocol 1: p = 0.448
Protocol 2: p = 1
Protocol 3: p = 1
Protocol × Transition:
Protocol 1: p = 0.933
Protocol 2: p = 0.530
Protocol 3: p = 0.212
Protocol: p = 0.298
Transition: p = 0.966
Protocol × Transition: p = 0.024*
Protocol: p = 0.427
Transition: p = 0.252
Protocol × Transition: p = 0.923
Protocol: p = 0.402
Transition: p = 0.475
Protocol × Transition: p = 0.877
Protocol: p = 0.064
Transition: p < 0.001***
Protocol × Transition: p = 0.095
Protocol: p = 0.505
Transition: p = 0.153
Protocol × Transition: p = 0.824
Protocol: p = 0.082
Transition: p = 0.001***
Protocol × Transition: p = 0.262
f
r
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t
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s
i
n
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g
.
Data format: mean ± standard deviation [min max]. Information not available for a1 ARMS-T and 3 ARMS-NT (Protocol 1), 2 ARMS-NT (Protocol 2), 2 ARMS-T and 1 ARMS-NT (Protocol 3); b1 ARMS-T and 1 ARMS-NT (Protocol 2), 1 ARMS-NT (Protocol 3); c2
ARMS and 5 ARMS-NT (Protocol 1), 4 ARMS-NT (Protocol 2), 8 ARMS-NT (Protocol 3); d2 ARMS-T and 7 ARMS-NT (Protocol 1), 3 ARMS-NT (Protocol 2), 2 ARMS-NT (Protocol 3); e3 ARMS-T and 6 ARMS-NT (Protocol 1), 3 ARMS-NT (Protocol 2), 8 ARMS-NT
(Protocol 3). ARMS, at-risk mental state; ARMS-T, individuals at ARMS that did not transition to psychosis; ARMS-NT, individuals at ARMS that did not transitioned to psychosis. *p < 0.05; ***p < 0.001.
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these performed above chance-level, a multimodal one. For the sMRI
data, we used state-of-the-art preprocessing and ML pipelines; and
explored several unprecedented combinations of brain structural
measures, feature manipulation and cross-validation (CV) strategies.
For the genetic data, we explored several approaches: a schizophrenia
individual GWA-implicated SNPs (27), and a brain-
PRS (26),
specific expression Quantitative Trait Loci (eQTL) score. For the
environmental data, we employed a schizophrenia environmental
risk score (ERS) (28), and individual risk factors.
2. Materials and methods
2.1. Sample description
The total sample consisted of 246 individuals with an ARMS,
recruited at first presentation from consecutive referrals to the
Outreach and Support in South London (OASIS) high-risk service,
South London and Maudsley NHS Foundation Trust (29). The
presence of ARMS was assessed using the CAARMS, a detailed
clinical assessment (30). When the subjects were first diagnosed as
having an ARMS (i.e., baseline) a set of data were acquired: (a)
a sMRI scan; (b) genome-wide genotypes; and (c) assessment of
environmental risk exposures. Subjects were labeled as transitioned
to psychosis (ARMS-T) if they later presented a FEP or as not-
transitioned to psychosis (ARMS-NT) if they did not present a
FEP within a period of at least 2 years. For a detailed description
of the recruitment, inclusion and exclusion criteria please refer
to the Supplementary material. Additional socio-demographic
including:
and clinical measures were also assessed at baseline,
age; sex; handedness; self-reported ethnicity; full scale intelligence
TABLE 2 Socio-demographic and clinical information of the At Risk Mental
State (ARMS) sample with genetic data and an European ancestry.
ARMS-T
(n = 21)
ARMS-NT
(n = 54)
Group
comparison
Age at baseline (years)
Age at follow-up or
transition (years)
23.8 ± 5.3
[15.6 33.8]
25.3 ± 5.9
[17.3 38.8]
22.5 ± 4.0
[14.6 34.5]
27.9 ± 5.1
[18.5 43.9]
Sex (male/female)
14/7
30/24
Years of education
IQ (z-standardized)a
GAF at baseline
GAF at follow-upb
CAARMS at baselinec
CAARMS at follow-upd
13.0 ± 2.2
[10.0 18.0]
0.1 ± 1.0
[–2.1 2.2]
54.0 ± 15.7
[0 80]
47.8 ± 24.3
[0 79]
37.6 ± 17.5
[6 69]
24.4 ± 27.9
[0 90]
12.0 ± 4.4
[0 18.0]
0.2 ± 1.0
[–2.1 1.8]
53.6 ± 16.0
[0 78]
59.2 ± 21.0
[0 94]
29.9 ± 16.2
[0 81]
12.4 ± 14.0
[0 60]
p = 0.284
p = 0.069
p = 0.380
p = 0.292
p = 0.678
p = 0.923
p = 0.050
p = 0.097
p = 0.019*
quotient measured by the National Adult Reading Test (31); years
of education; and global assessment of function using the GAF
instrument tool at baseline and at follow-up (32), and CAARMS
(at baseline and follow-up) (30). Regarding the sMRI, genetic and
environmental sub-samples: 99, 135 and all the 246 individuals
with an ARMS had a baseline sMRI scan (Table 1), genome-wide
genotyped data (Table 2), and environmental risk factors assessment
data (Table 3), respectively (more details in the Supplementary
material). Over the 2-years follow-up period, 23, 41, and 60
individuals at an ARMS from each of the previous sub-samples
developed psychosis (AMRS-T) and the remaining 15, 94, and 186
did not (ARMS-NT), respectively. Moreover, part of the study’s data
collection occurred under the Genetic and Psychosis (GAP) umbrella
project (33). Ethics approval was obtained by the NHS South East
London Research Ethics Committee (Project GAP; Ref. 047/04),
consistent with the Helsinki Declaration of 1975 (as revised in 2008)
and all subjects gave written informed consent.
Socio-demographic and clinical variables were analyzed using a
two-tailed independent t-test or a Univariate Analysis of Variance
(ANOVA) for continuous data and a chi-square test or Fisher’s exact
test (if there were less than 5 subjects in one group) for ordinal data
(Tables 1–3). These statistical analyses were performed using the
Statistical Package for the Social Sciences 26 (SPSS 26 for Windows,
Chicago, IL, USA).
2.2. Structural neuroimaging data
2.2.1. Structural magnetic resonance imaging
acquisition
Structural magnetic resonance imaging (sMRI) scans were
acquired with one of two scanners (one with a field strength
of 1.5T,
three 3-Dimensional
enhanced fast gradient echo protocols (detailed description in
Supplementary material).
the other 3T) using one of
2.2.2. Image processing
High spatial resolution volumetric T1-weighted images were
processed with the Computational Anatomy Toolbox for Statistical
Parametric Mapping (SPM) –12 (CAT12; v10921), an SPM12 add-
on (v69092) using default settings and MATLAB (9.3) as we have
described elsewhere (34) (detailed description in Supplementary
material). In summary, gray and white matter volumes for 64
regions-of-interest
is in the
Supplementary Table 1) were extracted using the Hammers atlas
(35). Additionally, regional-based cortical thickness and surface
measures (i.e., folding measures)–gyrification index, the depth of
sulci and the measurement of local surface complexity were extracted
for 68 ROIs (description of each ROI is in the Supplementary
Table 2) defined by the Desikan–Killiany atlas (36).
(ROIs; description of each ROI
2.2.3. Image quality control
The quality of each processed image was empirically assessed
using the quality assurance framework of CAT12 (detailed
description in the Supplementary material). We set the subject’s
image inclusion threshold at D (sufficient), i.e., only subjects whose
Data format: mean ± standard deviation [min max]. Information not available for a2 ARMS-T
and 9 ARMS-NT; b4 ARMS-NT; c1 ARMS and 9 ARMS-NT; d1 ARMS-T and 3 ARMS-NT.
ARMS, at-risk mental state; ARMS-T, individuals at ARMS that did not transition to psychosis;
ARMS-NT, individuals at ARMS that did not transitioned to psychosis.
*p < 0.05.
1 http://www.neuro.uni-jena.de/cat/
2 http://www.fil.ion.ucl.ac.uk/spm/
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images had an image quality rate of A (excellent) to D (sufficient)
(in a scale that goes up to F–unacceptable/failed) were included in
the final sample, as it has been shown that typical scientific (clinical)
data get good-to-satisfactory ratings (37). All this study’s images
passed the above criteria and thus were included in all analyses (see
Supplementary material for more details).
migrant; (4) belonging to an ethnic minority; (5) the upbringing
urbanicity level; (6) the parental age at birth; (7) the presence of
childhood trauma; and (8) the season of birth (detailed description
of how the risk for psychosis was assessed in each factor is in
Supplementary material).
2.3. Genetic data
Genotyping procedures have been previously described (26, 38).
In summary, samples were genotyped at two different sites with
two distinct chips (Illumina HumanCore Exome BeadChip and
Genome-wide Human SNP Array 6.0). A standard quality control
screening (exclusion of SNPs with low minor allele frequency, high
genotypic failure and not in Hardy Weinberg equilibrium) followed
by imputation procedures were conducted. Then, samples from
both sites were merged by keeping only the overlapped imputed
SNPs followed by a second quality control screening. Finally,
a population stratification analysis was conducted with principal
component analysis (PCA) to select only subjects with a European
ancestry (the number of subjects per self-reported ethnicity is in
the Supplementary Table 3). For a detailed description see the
Supplementary material.
2.4. Environmental data
Each subject was assessed on at least one of eight environmental
risk factors: (1) tobacco and (2) cannabis consumption; (3) being
TABLE 3 Socio-demographic and clinical information of the At Risk Mental
State (ARMS) sample with environmental data (with less than 20% of the
environmental risk factors missing).
ARMS-T
(n = 37)
ARMS-NT
(n = 97)
Group
comparison
Age at baseline (years)
Age at follow-up or
transition (years)a
23.6 ± 4.8
[15.6 33.6]
25.6 ± 5.6
[17.3 39.2]
21.9 ± 3.7
[14.6 33.1]
27.1 ± 4.7
[18.5 41.2]
Sex (male/female)
22/15
50/47
Years of educationb
IQ (z-standardized)c
GAF at baselined
GAF at follow-upe
CAARMS at baselinef
CAARMS at follow-upg
13.2 ± 2.7
[8 18]
−0.3 ± 1.0
[–2.1 2.2]
55 ± 12.5
[35 90]
50.4 ± 19.9
[10 88]
30.9 ± 19.4
[0 78]
29.7 ± 31.2
[0 102]
13.3 ± 2.0
[9 18]
0.1 ± 1.0
[–2.1 3.5]
56.7 ± 8.6
[40 80]
63.2 ± 14.2
[20 94]
28.3 ± 16.0
[0 81]
13.3 ± 14.2
[0 60]
p = 0.027*
p = 0.131
p = 0.411
p = 0.686
p = 0.049*
p = 0.523
p =< 0.001*
p = 0.478
p =<0.001*
Data format: mean ± standard deviation [min max]. Information not available for a1 ARMS-T;
b5 ARMS-T and 6 ARMS-NT; c7 ARMS-T and 13 ARMS-NT; d5 ARMS-T and 4 ARMS-NT;
e5 ARMS-T and 8 ARMS-NT; f6 ARMS-T and 13 ARMS-NT; g4 ARMS-T and 8 ARMS-NT;
subject. ARMS, at-risk mental state; ARMS-T, individuals at ARMS that did not transition to
psychosis; ARMS-NT, individuals at ARMS that did not transition to psychosis.
*p < 0.05.
2.5. Machine learning approach
Several ML strategies to generate prediction models for transition
to psychosis from sMRI data using our ARMS sample were
investigated (Figures 1, 2). These include: (a) sample balancing
and bootstrapping; and testing several: (b) feature types; (c) feature
manipulation approaches; and (d) CV approaches. The analyses
were conducted using the neuroimaging ML tool NeuroMiner v1.0
ELESSAR3 for sMRI data, chosen given that it was used in the
previous above-mentioned ARMS prognosis studies and provided
therein high accuracy results (12, 39, 40), and R software 4.0.5 (41)
for genetic (16) and environmental data. As detailed below, we have
used SVM on the neuroimaging data since that is the approach which
not only is more often employed with sMRI data but also that which
has shown higher accuracies in psychiatric diagnostic classifications
using sMRI data including in the ARMS population (10–14) which we
herein attempt to replicate. We have used elastic-net algorithm for the
genetic data (SNPs and eQTL scores) and environmental risk factors
as it a well-suited method for dealing with high-dimensional data
and possibly correlated data; and it performs an embedded feature
selection and model fitting at once. The PRS and the environmental
risk score were analyzed with logistic regression, given that only one
feature was used.
2.5.1. Sample balancing and bootstrapping
The final sample used in the ML analyses was defined by all
the ARMS-T subjects available (23 subjects for the sMRI predictors,
19 for the PRS predictor, 21 for the SNP’s alleles predictors,
21 for eQTL scores predictors, 37 for the ERS predictor, and
17 for the individual environmental predictors), and the same
number of ARMS-NT subjects randomly selected to match the
ARMS-T for age and sex (for each data modality), and for scan
acquisition protocol (for sMRI data). The matching criteria for age
and sex were based on the non-rejection of the null hypothesis
(i.e., p > 0.05) that the ARMS-T and ARMS-NT groups had
the same median age (tested with a two-sided Mann–Whitney
U-test) and sex proportions (tested with a two-sided chi-square
statistic). The matching for the scan acquisition protocol was done
in a one-to-one manner, i.e., the number of ARMS-NT subjects
is the same as the number of ARMS-T.
within each protocol
Of note, we have considered the approach of applying a class-
weighted support vector machine for our neuroimaging measures
and have detected that differences in terms of accuracies between a
model with weights vs. no-weights (considering the full unbalanced
samples) were practically null (results not shown)–and therefore
we did not pursue that approach. Then, each subsampling was
repeated five times,
i.e., 5 bootstrapped samples were created,
and the subsequent ML analyses were conducted for each of the
bootstrapped sample.
3 http://proniapredictors.eu/neurominer/index.html
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FIGURE 1
Overall machine learning approach taken for assessing the predictive value, i.e., the accuracy, of each type of extracted neuroimaging, genetic or
environmental feature in predicting transition to psychosis from an At Risk Mental State (ARMS). ERS, environmental risk score; eQTL score, expression
quantitative trait loci; PRS, polygenic risk score; ROIGM, regional-based gray matter volumes; ROISurface, surface-based regional cortical thickness, and
gyrification, sulci, and complexity indexes; ROIWM, regional-based white matter volumes; SNP, single nucleotide polymorphism; VMGM, voxel-based
gray matter volume maps; VMWM, voxel-based white matter volume maps.
2.5.2. Feature types
2.5.2.1. Structural magnetic resonance imaging data
Individual ML models were trained and validated for each of the
following brain measures: (a) voxel-based gray matter (VBGM) maps
(297,811 initial features); (b) voxel-based white matter (VBWM)
maps (204,706 initial features); (c) regional-based gray (ROIGM) and
(d) white (ROIWM) matter volumes (each with 64 initial features)
scaled to the total intracranial volume (TIV); and (e) surface-based
regional cortical thickness, and gyrification, sulci, and complexity
indexes (ROISurface; 272 initial features). Each feature is scaled
between 0 and 1 before entering a support vector machine (SVM)
classification algorithm.
2.5.2.2. Genetic data
We tested whether a PRS which we have previously found
to predict (R2 = 0.94) a cross-sectional diagnosis of FEP (vs.
healthy controls) would be a good longitudinal predictor for ARMS
prognosis. Following the same methodology (26), this PRS was
computed as the sum of SNPs alleles statistically associated with
schizophrenia in a GWAS meta-analysis study (42) weighted by
the effect size of that association (more details in Supplementary
material). In addition, two other novel prediction models using the
present ARMS sample were trained and tested. One used SNPs’ alleles
(79,247 SNPs) as predictors and the other used eQTL scores of genes
expressed in brain tissue (141 genes across several brain tissues). Both
SNPs and genes’ eQTL scores were chosen as the ones most associated
with psychosis as ascertained in a recent meta-analysis (27). The
eQTL score of each gene was extracted with the eGenScore which
we developed and published previously (43) and it was computed
as the sum of the alleles of SNPs showing a statistically significant
association with the brain gene expression in a standard genomic
and transcriptomic sample weighted by the size of that effect (further
details available in Supplementary material).
2.5.2.3. Environmental data
We tested whether an ERS for psychosis which we have previously
developed (28) would be a good longitudinal predictor for ARMS
prognosis. Only subjects with less than 20% of missing information
(i.e., missing data for less than 2 environmental risk factors) were
considered for the ERS-based ML analysis. Therefore, the final sample
included 37 ARMS-T subjects and 97 ARMs-NT subjects. Then,
each environmental risk factor (see Section “2.4. Environmental
data”) was used as an individual feature in the model. For this ML
analysis only subjects with information for all the environmental risk
factors (i.e., with no missing information) were considered (i.e., 17
ARMS-T and 49 ARMS-NT subjects). Further details available in
Supplementary material.
2.5.3. Feature manipulation
Feature manipulation was performed only in ML analyses using
sMRI data. In particular,
feature dimensionality reduction was
performed for VBGM and VBWM features using robust PCA (44,
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FIGURE 2
Scheme of the cross-validation (CV) approach taken to train, test, and validate classification models trained with (A) neuroimaging data and support
vector machines (SVM); genetic (single nucleotide polymorphisms or expression quantitative trait loci) or environmental (environmental risk factors) data
and elastic-net; or (B) genetic (polygenic risk score) or environmental (environmental risk score) data and logistic regression.
45). Here the robust PCA was applied during the inner CV cycle
(see Section “2.5.5. Cross-validation”). The number of principal
components that were retained explained up to 80% of the variance
in the data and were limited by the inner CV cycle’s sample size, n,
i.e., a maximum of only n/2 components could indeed be extracted.
Supplementary Table 5 shows the maximum number of principal
components that can be extracted for each inner CV cycle in each
CV scheme that was used (see also Section “2.5.5. Cross-validation”)
(for detailed description see the Supplementary material).
Feature selection was performed on regional brain features (i.e.,
ROIGM, ROIWM, and ROISurface) using a greedy forward search
feature selection algorithm. This is a stepwise algorithm that starts
with an empty set of features and then tests the predictive value
of every single feature, selecting the ones improving the overall
accuracy across the inner CV cycle folds (see Section “2.5.5. Cross-
validation”). The final set of features is, then, composed by the
10% most predictive variables. Additionally, no feature selection, i.e.,
using the total number regional brain features, was also tested.
2.5.4. Machine learning algorithm
Binary classification of transition to psychosis from an ARMS
(i.e., ARMS-T vs. ARMS-NT) was performed using linear SVM for
sMRI data, and logistic regression and elastic net for both genetic and
environmental data.
2.5.4.1. Support vector machine classification
Binary classification of transition to psychosis from an ARMS
(i.e., ARMS-T vs. ARMS-NT) using sMRI data was performed using
linear SVM (46, 47). In this study we exclusively used a linear
kernel SVM to reduce the risk of overfitting the data (given our
final sample size being relatively small). Furthermore, the linear
SVM classifier has a penalty parameter C that controls the trade-
off between having zero training error and allowing misclassification.
Herein, a parameter search was carried out to identify the optimal C
value (i.e., 2l, l [−5 : 1 : 4]) in the inner CV cycle (see Section “2.5.5.
Cross-validation”).
(ERS) data was performed using simple logistic regression.
A threshold of 0.5 was applied to the probability of observing
i.e., an ARMS-T (see Supplementary material
the outcome,
for more details).
2.5.4.3. Elastic net for classification
transition to psychosis
Binary classification of
from an
ARMS (i.e., ARMS-T vs. ARMS-NT) using genetic (psychosis-
associated SNPs or eQTL scores of psychosis-associated genes) or
environmental (environmental risk factors) data was performed
using logistic regularized regression with elastic net (48) using
l1 and λ values
hyperparameters search to identify the optimal
(regression weights shrinkage) (i.e., l1 0 : 0.1 : 1; λ 0.01 : 0.01 : 1)
in the inner CV cycle (see Section “2.5.5. Cross-validation”) (for
detailed description see the Supplementary material). The elastic
net was implemented using the “glmnet” v4.0 R package.
2.5.5. Cross-validation
Each model (trained with sMRI, psychosis-associated SNPs or
eQTL scores of psychosis-associated genes and environmental risk
factors) was trained in a nested-CV scheme for hyperparameter
tuning (in the inner CV cycle) and to estimate the generalizability
of the trained prediction model and its performance (in the outer CV
cycle) (Figure 2A). For more details see the Supplementary material.
For sMRI models, we tested three different nested-CV schemes: (a)
leave-one scan acquisition protocol-out (LSO); (b) leave-one per
group from the same scan acquisition protocol-out (LPO); and (c)
classic 5-fold CV. For the remaining sMRI, genetic (trained with
psychosis-associated SNPs or eQTL scores of psychosis-associated
genes data) and environmental (trained with environmental risk
factors data) models, nested-CV was defined with an inner 5-
fold and an outer leave-one per group-out (LPO) CV schemes.
Furthermore, the logistic regression (trained with genetic–PRS–and
environmental–ERS–data) was trained and tested in a simple LPO
CV scheme (Figure 2B).
2.5.6. Performance measures
2.5.4.2. Logistic regression for classification
Binary classification of transition to psychosis from an ARMS
(i.e., ARMS-T vs. ARMS-NT) using genetic (PRS) or environmental
Each model’s performance was evaluated using measures derived
from the confusion matrix: sensitivity; specificity; BAC; positive
likelihood ratio; negative likelihood ratio; and diagnostic odds ratio
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(DOR). Moreover, permutation testing was used to test if the
BAC was higher than chance–50%–with a statistical significance
of 5% (For a detailed description of each measure see the
Supplementary material).
The prediction ability of each tested combination of feature type,
feature manipulation, and CV scheme was defined as significant if the
BAC was higher than chance–50% in at least 3 out of 5 bootstrapped
samples. evaluated by testing the statistical significance of the median
BAC across bootstrapped samples using a one-tailed Wilcoxon signed
rank test (i.e., to test if the median BAC across bootstrapped samples
is higher than chance– 50%, with a statistical significance level of
5%). P-values were not adjusted for multiple comparisons due to
non-independence of the samples used in each statistical test.
3. Results
Overall,
the BAC of
the classification models trained and
validated using each combination of feature type (i.e., ROIGM,
ROIWM, ROISurface, VBGM, or VBWM–for sMRI data; PRS,
psychosis-associated SNPs or psychosis-associated brain eQTL score
genes scores–for genetic data; or ERS or individual environmental
risk factors–for environmental data), feature manipulation (i.e.,
feature dimensionality reduction through PCA; no feature selection;
or forward feature selection), CV scheme (i.e., LSO CV; LPO CV;
or 5-fold CV), and bootstrapped sample (i.e., one of the 5 samples)
ranged from 37 to 67% for the classification models trained with
sMRI (Tables 4, 5 and Figures 3, 4), from 26 to 62% for the models
trained with genetic data (Table 6 and Figure 5) and from 38 to 61%
for models trained with environmental data (Table 6 and Figure 6).
The prediction ability of each model was not significant as less than 3
bootstrapped samples per each feature type showed a BAC statistically
higher than chance–50%.
4. Discussion
This study aimed to predict transition to psychosis from an
ARMS using ML applied to quantitative data across modalities–
i.e., neuroimaging (sMRI), genetics (genome-wide genotypes), and
environment–collected when subjects first sought clinical help (i.e.,
at baseline) and were identified with an ARMS. This is, to the
best of our knowledge, the first study: (1) of longitudinal design
exploring sMRI, genetic and environmental data to predict the
development of a psychotic disorder from a prodromal stage; and
(2) when considering each modality individually, exploring a range
of approaches (for genetics and environmental data) and/or feature
combinations (for sMRI data).
4.1. Prediction of transition to psychosis
using structural neuroimaging data
In this study we applied ML to structural neuroimaging data
using a relatively larger sample and an ML approach, improved to
the best of our ability, to detect transition to psychosis from an
ARMS and to replicate previous positive findings of accuracies 74
to 84% of six studies, which together used 3 independent samples
(10–15). For this, we decided: to: (1) use only the most recent
versions of the image processing tools (i.e., CAT12) and ML tools
(i.e., NeuroMiner); (2) replicate as accurately as possible the methods
that were described in the abovementioned MRI papers since it was
not possible to access their processing and ML pipelines; (3) add a
layer of ML generalizability by bootstrapping and fitting a model to
each subsample; and (4) overcome previous studies’ limitations (e.g.,
sample unbalancing for demographics). Furthermore, we explored,
for the first time, the use of whole brain white matter volume and
regional white matter volume, cortical thickness, and surface-based
brain gyrification, sulci depth, and complexity indexes with ML to
predict transition to psychosis.
Unexpectedly, we did not replicate previous findings. After
balancing the samples for binary classification of transition to
psychosis accounting for age, sex, and the three different scan
acquisition protocols to avoid overoptimistic results, the performance
of all tested combinations (i.e., of feature type–ROIGM, ROIWM,
ROISurface, VBGM, or VBWM;
feature manipulation–feature
dimensionality reduction through PCA, no feature selection, or
forward feature selection; and CV scheme–LSO CV, LPO CV, or
5-fold CV) were not significantly better than chance level.
Compared to the previous studies reporting high balanced
accuracies (74 to 84%) in predicting transition to psychosis from
sMRI maps (10–15), the current study has some advantages. First, this
study’s sample is drawn from a more naturalistic ARMS population
as it includes subjects whose sMRI images were acquired using
three different scan acquisition protocols. Training a classification
model with data from different centers potentially increases its
generalizability. Only one of the previous transition to psychosis
prediction studies used a two-site group balanced sample (12),
combining the samples reported in two previous studies by the same
authors (10, 11). The main differences between this report and our
study are the following: (a) Their sample was larger than our balanced
bootstrapped samples (i.e., 36% larger than ours, measured as the
absolute value of the change in sample size, divided by the average of
the size of the two samples). However, we tested our ML models on
five balanced subsamples (i.e., through bootstrapping), allowing us
to obtain a measure of generalizability of these models’ performance.
Moreover, they do not present a measure of the statistical significance
of the model’s BAC, which we do herein. (b) They controlled the
effect of site on the classification using partial correlations during the
training phase of the CV cycle, whereas we controlled it by keeping
the same proportion of subjects at an ARMS that transitioned to
psychosis and those who did not in each scan protocol during the
training phase of the CV cycle (i.e., when using the LPO CV scheme
as the previous study did). Additionally, we also guaranteed that the
pair of subjects left out for testing/validation were from the same
site. This potentially increases the generalizability of the classification
model by training it with a more heterogeneous sample (and, as
explained above, more naturalistic) and diminishing the effect of site
on the testing/validation classification accuracy, which is not taken
into account in the previous report (12).
Second, we trained our classification models with samples
balanced for group (subjects at an ARMS who later transitioned
to psychosis and who did not), age at scan and sex. Balancing
for group is important to avoid biasing the classification model
to the most represented group and it was not taken into account
by three out of six previous reports (10, 11, 14). Moreover, the
effects of age (49) and sex (50) on brain structure, rate of transition
to psychosis from ARMS (2), and prevalence of psychosis (3, 51),
have been consistently reported and, therefore, should be taken into
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TABLE 4 Performance measures of each structural magnetic resonance imaging (sMRI) classification model based on brain regional features across
bootstrapped samples.
ROIGM
No-FS
55.7 ± 6.4
[47.8, 65.2]
55.7 ± 10.4
[43.5, 69.6]
55.7 ± 5.5
[47.8, 63.0]
1.3 ± 0.3
[0.9, 1.9]
0.8 ± 0.2
[0.6, 1.1]
1.7 ± 0.8
[0.8, 3.0]
1
47.8 ± 6.1
[43.5, 56.5]
54.8 ± 6.6
[47.8, 60.9]
51.3 ± 4.8
[45.7, 58.7]
1.1 ± 0.2
[0.8, 1.4]
1.0 ± 0.2
[0.7, 1.2]
1.2 ± 0.5
[0.7, 2]
0
42.6 ± 3.6
[39.1, 47.8]
54.8 ± 12.5
[34.8, 65.2]
48.7 ± 6.6
[39.1, 56.5]
1.0 ± 0.3
[0.7, 1.4]
1.1 ± 0.3
[0.8, 1.6]
1.0 ± 0.5
[0.4, 1.7]
0
LSO CV scheme
SE (%)
SP (%)
BAC (%)
PLR
NLR
DOR
Significant models
LPO CV scheme
SE (%)
SP (%)
BAC (%)
PLR
NLR
DOR
Significant models
5-fold CV scheme
SE (%)
SP (%)
BAC (%)
PLR
NLR
DOR
Significant models
FFS
59.1 ± 11.7
[47.8, 78.3]
40.9 ± 10.5
[26.1, 52.2]
50.0 ± 3.8
[43.5, 52.2]
1.0 ± 0.1
[0.8, 1.1]
1.0 ± 0.2
[0.8, 1.4]
1.0 ± 0.3
[0.6, 1.3]
0
67.0 ± 7.9
[56.5, 73.9]
44.3 ± 10.8
[34.8, 60.9]
55.7 ± 7.1
[45.7, 65.2]
1.3 ± 0.3
[0.9, 1.8]
0.8 ± 0.3
[0.5, 1.3]
1.9 ± 1.1
[0.7, 3.6]
0
40.9 ± 5.8
[34.8, 47.8]
40.9 ± 7.3
[30.4, 47.8]
40.9 ± 2.4
[37.0, 43.5]
0.7 ± 0.1
[0.6, 0.8]
1.5 ± 0.2
[1.3, 1.9]
0.5 ± 0.1
[0.3, 0.6]
0
ROIWM
No-FS
57.4 ± 19.1
[30.4, 82.6]
46.1 ± 14
[21.7, 56.5]
51.7 ± 5.6
[43.5, 58.7]
1.1 ± 0.2
[0.7, 1.4]
0.9 ± 0.2
[0.7, 1.2]
1.3 ± 0.5
[0.6, 2.0]
0
49.6 ± 8.5
[39.1, 60.9]
52.2 ± 5.3
[43.5, 56.5]
50.9 ± 5.2
[43.5, 56.5]
1.0 ± 0.2
[0.8, 1.3]
1.0 ± 0.2
[0.8, 1.3]
1.1 ± 0.4
[0.6, 1.7]
0
59.1 ± 6.6
[52.2, 69.6]
40.9 ± 8.5
[30.4, 52.2]
50.0 ± 5.1
[45.7, 56.5]
1.0 ± 0.2
[0.9, 1.2]
1.0 ± 0.3
[0.7, 1.3]
1.1 ± 0.5
[0.7, 1.8]
0
ROISurface
FFS
No-FS
FFS
62.6 ± 13.3
[52.2, 82.6]
27.8 ± 22.3
[0.0, 56.5]
45.2 ± 6.6
[37.0, 54.3]
0.9 ± 0.2
[0.7, 1.2]
1.5 ± 0.7
[0.8, 2.5]
0.6 ± 0.5
[0.0, 1.4]
0
39.1 ± 9.2
[26.1, 47.8]
50.4 ± 12.5
[34.8, 69.6]
44.8 ± 6.6
[37.0, 54.3]
0.8 ± 0.3
[0.5, 1.3]
1.3 ± 0.3
[0.9, 1.5]
0.7 ± 0.4
[0.3, 1.5]
0
45.2 ± 8.5
[34.8, 56.5]
53 ± 11.3
[34.8, 65.2]
49.1 ± 2.5
[45.7, 52.2]
1.0 ± 0.1
[0.9, 1.1]
1.1 ± 0.1
[0.9, 1.3]
0.9 ± 0.2
[0.7, 1.2]
0
41.7 ± 14.6
[26.1, 60.9]
61.7 ± 17.8
[34.8, 82.6]
51.7 ± 7.4
[43.5, 63.0]
1.2 ± 0.4
[0.8, 1.8]
1.0 ± 0.3
[0.6, 1.4]
1.4 ± 0.9
[0.6, 2.9]
1
53.9 ± 6.6
[43.5, 60.9]
54.8 ± 5.0
[47.8, 60.9]
54.3 ± 4.3
[50.0, 60.9]
1.2 ± 0.2
[1.0, 1.6]
0.8 ± 0.1
[0.6, 1.0]
1.5 ± 0.6
[1.0, 2.4]
1
53.0 ± 10.4
[39.1, 65.2]
54.8 ± 6.6
[47.8, 60.9]
53.9 ± 5.2
[47.8, 60.9]
1.2 ± 0.2
[0.9, 1.6]
0.9 ± 0.2
[0.6, 1.1]
1.5 ± 0.6
[0.8, 2.4]
0
39.1 ± 20.6
[17.4, 65.2]
63.5 ± 12.1
[43.5, 73.9]
51.3 ± 9.8
[43.5, 67.4]
1.1 ± 0.6
[0.6, 2.1]
1.0 ± 0.3
[0.5, 1.2]
1.5 ± 1.6
[0.5, 4.3]
1
52.2 ± 6.9
[43.5, 60.9]
54.8 ± 12.9
[39.1, 69.6]
53.5 ± 7.5
[43.5, 60.9]
1.2 ± 0.3
[0.8, 1.6]
0.9 ± 0.3 [0.6, 1.3]
1.5 ± 0.8 [0.6, 2.4]
0
57.4 ± 8.4
[47.8, 69.6]
53 ± 11.7
[39.1, 65.2]
55.2 ± 9.3
[47.8, 67.4]
1.3 ± 0.5
[0.9, 2.0]
0.9 ± 0.3
[0.5, 1.1]
2.0 ± 1.6
[0.8, 4.3]
1
Measures for each tested combination of brain regional feature type [i.e., regional-based gray (ROIGM) and white (ROIWM) matter volume; and surface-based regional cortical thickness,
gyrification, sulci, and complexity indexes (ROISurface)], feature selection [i.e., no feature selection (No-FS); and forward feature selection (FFS)], and cross-validation (CV) scheme [i.e., leave-one
scan acquisition protocol-out (LSO) CV; leave-one per group-out (LPO) CV; and 5-fold CV] are presented. Statistical significance of the balanced accuracy (BAC) for each bootstrapped sample
was tested using permutation testing with a significance level of 5%. Data format: mean ± standard deviation [min max]. DOR, diagnostic odds ratio; NLR, negative likelihood ratio; PLR, positive
likelihood ratio; SE, sensitivity; SP, specificity. Significant models: number of models with statistically significant BAC higher than 50%.
account in these studies. All previous reports (and the current study)
matched transition proportion for age and sex (10–14), except for
one (15). Das and colleagues reported a statistically significant and
better than chance level BAC in predicting transition to psychosis
using a sample unbalanced for both group and sex. Although they
used a ML algorithm with class (i.e., group) weighing–which in
summary increases the influence of the minority class when training
the model by assigning higher weights to rare cases, the authors
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TABLE 5 Performance measures of each structural magnetic resonance imaging (SMRI) classification model based on voxel-wise features across
bootstrapped samples.
LSO CV scheme
LPO CV scheme
5-fold CV scheme
SE (%)
SP (%)
BAC (%)
PLR
NLR
DOR
Significant models
VBGM
20.9 ± 34.8
[0, 82.6]
72.2 ± 35.7
[8.7, 91.3]
46.5 ± 3.6
[43.5, 52.2]
0.6 ± 0.6
[0.0, 1.5]
1.3 ± 0.4
[1.0, 2.0]
0.7 ± 0.9
[0.0, 2.2]
0
VBWM
46.1 ± 38.2
[4.3, 78.3]
53 ± 35.4
[21.7, 95.7]
49.6 ± 2.4
[45.7, 52.2]
0.9 ± 0.3
[0.3, 1.1]
1.0 ± 0.1
[0.9, 1.1]
0.8 ± 0.4
[0.1, 1.1]
1
VBGM
47.0 ± 10.4
[34.8, 60.9]
55.7 ± 8.4
[43.5, 65.2]
51.3 ± 7.5
[45.7, 63.0]
1.1 ± 0.4
[0.8, 1.8]
1.0 ± 0.3
[0.6, 1.2]
1.3 ± 1.0
[0.7, 3.1]
0
VBWM
50.4 ± 11.3
[34.8, 60.9]
53.0 ± 7.1
[47.8, 65.2]
51.7 ± 2.8
[47.8, 54.3]
1.1 ± 0.1
[0.9, 1.2]
0.9 ± 0.1
[0.8, 1.1]
1.1 ± 0.2
[0.8, 1.4]
0
VBGM
30.4 ± 10.2
[21.7, 43.5]
51.3 ± 7.8
[43.5, 60.9]
40.9 ± 2.4
[37.0, 43.5]
0.6 ± 0.1
[0.5, 0.8]
1.4 ± 0.1
[1.3, 1.5]
0.4 ± 0.1
[0.2, 0.6]
0
VBWM
41.7 ± 8.5
[34.8, 56.5]
52.2 ± 6.1
[43.5, 60.9]
47.0 ± 6.8
[41.3, 58.7]
0.9 ± 0.3
[0.7, 1.4]
1.1 ± 0.3
[0.7, 1.4]
0.9 ± 0.7
[0.5, 2.1]
0
Measures for each tested combination of voxel-wise feature type [i.e., voxel-based gray (VBGM) and white (VBWM) matter volume maps], feature dimensionality reduction through principal
component analysis and cross-validation (CV) scheme [i.e., leave-one scan acquisition protocol-out (LSO) CV; leave-one per group-out (LPO) CV; and 5-fold CV] are presented. Statistical
significance of the balanced accuracy (BAC) for each bootstrapped sample was tested using permutation testing with a significance level of 5%. Data format: mean ± standard deviation [min
max]. DOR, diagnostic odds ratio; NLR, negative likelihood ratio; PLR, positive likelihood ratio; SE, sensitivity; SP, specificity. Significant models: number of models with statistically significant BAC
higher than 50%.
FIGURE 3
Balanced accuracy across bootstrapped samples for each tested combination of regional feature type [i.e., regional-based gray and white matter
volume; and surface-based regional cortical thickness, gyrification, sulci, and complexity indexes (surface-based regional measures)], feature selection
[i.e., no feature selection; and forward feature selection (FFS)], and cross-validation (CV) scheme [i.e., leave-one scan acquisition protocol-out (LSO) CV;
leave-one per group-out (LPO) CV; and 5-fold CV]. Dots represent the balanced accuracy value in each of the five bootstrapped samples and are red
colored if the balanced accuracy is statistically significant (i.e., p < 0.05) or blue colored if it is not (i.e., p > 0.05). The statistical significance of the
balanced accuracy in each bootstrapped sample was evaluated through permutation testing.
performed an unspecified correction for sex effect (as well as for
age and TIV effects) to the data during the training CV cycle. This
approach may not be the most appropriate given the known effect
of sex on brain structure (50) and the, abovementioned, empirically
tested association between sex and group (i.e., transition to psychosis
from an ARMS vs. no transition) (15), which makes sex a potential
confounder in this analysis. Furthermore, in three of the six previous
reports, the effects of age and sex were corrected before entering
the ML analysis (10), and during the training CV cycle (11, 15)
using partial correlations (10, 11) or an unspecified method (15)–
which we did not perform. Correction for age effects in ML analysis
has been previously shown to increase classification accuracy in
Alzheimer’s disease, when it is estimated from healthy subjects (52).
Correction for effects of no interest in ML analyses should be done
with extreme caution as it can easily remove relevant subject-specific
information (53). This is especially important when the correction
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FIGURE 4
Balanced accuracy across bootstrapped samples for each tested combination of voxel-wise feature type [i.e., voxel-based gray (VBGM) and white
(VBWM) matter volume maps], feature dimensionality reduction through principal component analysis and cross-validation (CV) scheme [i.e., leave-one
scan acquisition protocol-out (LSO) CV; leave-one per group-out (LPO) CV; and 5-fold CV. Dots represent the balanced accuracy value in each of the
five bootstrapped samples and are red colored if the balanced accuracy is statistically significant (i.e., p < 0.05) or blue colored if it is not (i.e., p > 0.05).
The statistical significance of the balanced accuracy in each bootstrapped sample was evaluated through permutation testing.
TABLE 6 Performance measures of: (1) a genetic schizophrenia polygenic risk score (PRS), (2) a list of psychosis-associated single nucleotide polymorphisms
(SNPs), (3) expression quantitative trait loci (eQTL) scores (43) of a list of psychosis-associated genes expressed in the brain; (4) an environmental
schizophrenia risk score (ERS), and (5) a list of schizophrenia-associated environmental risk factors, classification models across bootstrapped samples.
PRS
SNP
eQTL score
ERS
Environmental risk
factors
SE (%)
SP (%)
BAC (%)
PLR
NLR
DOR
42.1 ± 20.0
[21.1, 63.2]
46.3 ± 11.4
[31.6, 57.9]
44.2 ± 15.3
[26.3, 60.5]
0.9 ± 0.5
[0.3, 1.5]
1.4 ± 0.8
[63.6, 2.5]
1.0 ± 1.0
[0.1, 2.4]
Significant models
0
41.9 ± 13.6
[23.8, 61.9]
50.5 ± 16.4
[28.6, 66.7]
46.2 ± 10.7
[33.3, 61.9]
0.9 ± 0.4
[0.5, 1.6]
1.3 ± 0.6
[0.6, 2.2]
1.0 ± 1.0
[0.2, 2.6]
0
61.0 ± 17.0
[47.6, 85.7]
31.4 ± 23.2
[4.8, 57.1]
46.2 ± 4.9
[40.5, 52.4]
0.9 ± 0.1
[0.8, 1.1]
1.9 ± 1.1
[0.9, 3.0]
0.7 ± 0.4
[0.3, 1.2]
1
44.9 ± 5.1
[29.7, 56.8]
50.8 ± 8.2
[45.9, 64.9]
47.8 ± 8.8
[37.8, 60.8]
1.0 ± 0.4
[0.6, 1.6]
1.1 ± 0.3
[0.7, 1.5]
1.0 ± 0.8
[0.4, 2.4]
0
10.6 ± 4.9
[5.9, 17.6]
70.6 ± 7.2
[64.7, 82.4]
40.6 ± 2.5
[38.2, 44.1]
0.4 ± 0.1
[0.2, 0.5]
1.3 ± 0.1
[1.1, 1.4]
0.3 ± 0.1
[0.2, 0.4]
0
Statistical significance of the balanced accuracy (BAC) for each bootstrapped sample was tested using permutation testing with a significance level of 5%. Data format: mean ± standard deviation
[min max]. DOR, diagnostic odds ratio; NLR, negative likelihood ratio; PLR, positive likelihood ratio; SE, sensitivity; SP, specificity. Significant models: number of models with statistically significant
BAC higher than 50%.
is being performed in a non-healthy (i.e., non-standard) population,
because the effect of external variables such as age and sex might be
modulated by the presence of the disease (e.g., being at ARMS or
having schizophrenia).
Third,
this study’s sample is composed of subjects whose
clinical diagnosis of an ARMS was based on having a schizotypal
personality disorder or on the subject’s familial-high risk coupled
with functioning decline and on the CAARMS (54), which mainly
evaluates positive symptoms. These were not the same criteria
as those used in the previous studies predicting transition to
psychosis from an ARMS. These previous studies all used samples of
subjects clinically assessed with tools that evaluate not only positive
symptoms, but also basic and negative symptoms (10–12, 14, 15),
except one (13), which included only familial-high risk subjects in
its sample. This potentially increases the inclusion of subjects in
the early phase of the psychosis prodrome (characterized by the
presence of basic and negative symptoms), whereas our sample
includes mainly subjects in the late prodromal phase of psychosis
(characterized mainly by the presence of positive symptoms) (2).
Therefore, our results suggest that previously reported accuracies in
predicting transition to psychosis may be population-specific, poorly
generalizable to differently clinically characterized populations
(as ours herein).
4.2. Prediction of transition to psychosis
using genetic data
In this study we applied ML to genetic data and used three types
of genetic features to detect transition to psychosis from an ARMS:
(a) a schizophrenia PRS that we have previously shown to distinguish
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FIGURE 5
Balanced accuracy across bootstrapped samples for each model trained with the polygenic risk score, the list of psychosis-associated single nucleotide
polymorphism (SNPs) or with the list of psychosis-associated genes for which an expression quantitative trait loci (eQTL) score was extracted. Dots
represent the balanced accuracy value in each of the 5 bootstrapped samples and are red colored if the balanced accuracy is statistically significant (i.e.,
p < 0.05) or blue colored if it is not (i.e., p > 0.05). The statistical significance of the balanced accuracy in each bootstrapped sample was evaluated
through permutation testing.
FIGURE 6
Balanced accuracy across bootstrapped samples for each model trained with the environmental risk score or with each environmental risk factors as
features. Dots represent the balanced accuracy value in each of the 5 bootstrapped samples and are red colored if the balanced accuracy is statistically
significant (i.e., p < 0.05) or blue colored if it is not (i.e., p > 0.05). The statistical significance of the balanced accuracy in each bootstrapped sample was
evaluated through permutation testing.
FEP patients from healthy controls (26) and ARMS-T from ARMS-
NT (16), (b) a set of psychosis-associated SNPs previously associated
with schizophrenia in a recent GWAS meta-analysis (27), and (c)
a brain-specific expression Quantitative Trait Loci (eQTL) score
including the latter genes.
Genetic data showed a poor performance in predicting transition
to psychosis from an ARMS. SNPs-based classification models have
been previously shown to classify schizophrenia (18, 19, 21), and
FEP patients (23) (vs. healthy controls) better than chance level,
but not subjects at an ARMS vs. healthy controls or FEP patients
(23). Furthermore, one of these studies has selected a list of SNPs
from the Psychiatric Genomics Consortium 2 (PGC2) (21, 42), which
potentially overlaps with the ones selected in this study (27).
Despite the (scarce) evidence of
the potential of PRS for
schizophrenia (20–22) to classify schizophrenia patients (vs. healthy
controls) and the one report showing the schizophrenia PRS’s ability
to predict transition to psychosis (16) we were not able to predict
transition to psychosis from an ARMS using this type of genetic
feature. Although the latter study (16) used a larger sample (i.e.,
106% higher than ours, measured as the absolute value of the
change in sample size, divided by the average of the size of the
two samples) to train the PRS-based model, sample balancing in
terms of group and age or sex were not taken into account or
that was unclear, respectively. Furthermore, herein we applied a
bootstrapped sample approach to estimate generalizability of the
PRS-based model by assuring that each bootstrapped sample met
the balancing conditions for group, age, and sex–which does not
seem to be the case in that study (16). Furthermore, another possible
explanation for the PRS negative results is that although the genetic
architecture, conveyed through a PRS, has been shown to differ
between patients with schizophrenia and healthy controls, one cannot
exclude the possibility that it is specific to schizophrenia (a fully
developed psychotic disorder), and might even be present in all
subjects at an ARMS, i.e., those who later transition to psychosis and
those who do not. The constellation of genetic variations (i.e., SNPs)
that might confer susceptibility to transition to psychosis already
from a prodromal stage is not necessarily the same as the one for
schizophrenia (when drawn in comparison to healthy controls). This
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may justify the advantage of using a less hypothesis-based approach
for the selection of genetic features (as we did by pre-selecting a large
list of SNPs and performing an embedded feature selection using
elastic net regression). Lastly, using a PRS formula made specifically
for transition to psychosis from an ARMS would require a larger
and independent sample to estimate SNP effect sizes, which might
be better provided by multicenter projects, such as NAPLS 2 (55) and
PRONIA4 over the next years.
Expression Quantitative Trait Loci (eQTL) scores for psychosis
associated genes expressed in the brain were also not able to predict
transition to psychosis from an ARMS. Only one previous study
has shown the predictive value of gene expression profiling in the
frontal brain region in classifying schizophrenia patients (vs. healthy
controls) (17). In the present study, instead of actual gene expression
measures we used a proxy for a-genetically regulated component
of the expression of genes, the eQTL scores. Although we have
computed eQTL scores only for the genes having a validated eQTL
score model (43), this does not guarantee that the estimated gene
expression represents (or correlates perfectly with) the real levels of
the expression. Furthermore, although we have selected the initial list
of genes as the ones most associated with schizophrenia (vs. healthy
controls), this selection did not take into account the expression
profile of these genes in the brain, and we have computed an eQTL
score for several brain tissues. A future improvement of this step
would be to test an eQTL scores-based model with a selection of genes
that: (a) are highly expressed in the brain in healthy subjects, and (b)
their expression is associated to a schizophrenia diagnosis, or even
better with the transition to psychosis from an ARMS.
4.3. Prediction of transition to psychosis
using environmental data
In this study we applied, for the first time, ML to environmental
data using two types of features to detect transition to psychosis from
an ARMS: (a) a schizophrenia ERS which we have previously reported
(28), and (b) a set of environmental risk factors as predictors. Overall,
neither environmental risk assessment, could predict transition to
psychosis from an ARMS with an averaged accuracy, i.e., across
bootstrapped samples, better than chance level. Although we know
of no similar longitudinal ARMS transition study, the closest other
report using ML and environmental data to diagnose schizophrenia
(vs. healthy controls) (22) also found a BAC not statistically better
than chance level, even having included features such as the presence
of obstetric complications and of developmental anomalies, the
parental socio-economic status; and –without feature selection–
trained and tested the model in a 13 times larger, albeit age, sex,
and group -unbalanced, sample (103 patients and 337 controls) than
ours (22). However, due to the still poorly understood environmental
risk mechanisms one cannot exclude the lack of statistical power as a
potential explanation for these negative findings including ours.
The ML model trained with the ERS for schizophrenia, which we
have tested as an (admittedly limited) exploratory predictor of the
transition to psychosis from an ARMS, showed a poor performance,
i.e., a BAC similar to chance level. Indeed, ERS is a composite score
of individual risk factors computed under the assumption that the
risk factors are completely independent (28), which has been shown
4 http://pronia.eu
not to be the case (56)–i.e., intercorrelated risk factors may inflate
the ERS estimation. This crude approach may limit the ability of the
ERS to capture the detailed environmental architecture underlying
psychosis. Moreover, just as for a PRS, an ERS for schizophrenia may
not be a good substitute of a potential ERS for transition to psychosis
from an ARMS (57).
Lastly, our criterion for training and testing a fully multimodal
ML model with modalities that would show an ML model
performance statistically better than chance (i.e., 50%) predicting
transition to psychosis from an ARMS in at least 3 of 5 bootstrapped
samples was not fulfilled given that none of the modality-based
ML models survived that threshold. This conservative criterion
was chosen given the already small sample size available for the
training of the multimodal ML model, i.e., only 6 ARMS-T and 23
ARMS-NT (only this subset of subjects had data for the three data
modalities, simultaneously). The decrease in sample size, remarkably
impairs the prediction power of the model, i.e., its accuracy. Without
previous evidence of the ability to predict transition to psychosis from
an ARMS by modality supporting its integration in a multimodal
ML model, negative results from this multimodal model would be
highly difficult to explain, as they could theoretically be explained
by the increase of noise in the model due to the inclusion of
features that did show previous predictive ability or by the lack
of predictive power due to the very small sample size. Moreover,
the parallel-to-ours, multi-site study, albeit very group-unbalanced
(only 26 ARMS-T patients vs. 308 ARMS-NT), from the PRONIA
project, showed that a stacked model combining similar data to our
study’s plus human prognostic ratings could predict transition to
psychosis with a balanced accuracy of 86% and a good geographical
generalizability (25). This multimodal approach was showed to
improve biological-based unimodal models by 15% (VBGM volume
maps-based model) and 20% (PRS for schizophrenia-based model).
As such, the replication of this promising finding, following the same
multimodal approach as that study, using in our study’s sample and
data features co-existing in both samples, would be interesting as an
additional method to ascertain whether our negative findings are due
to lack of power or to no discriminability with our feature sets.
4.4. Limitations
This study was limited by several factors. First, and foremost, the
small sample size may have limited the performance of classification
models, even though our sample size was informed by previous
ML studies showing 74–84% accuracies in predicting transition
to psychosis from an ARMS (10–15). Indeed, this is a critical
limitation when dealing with high dimensional data, such as
neuroimaging and genetics–which we have used herein. Although we
have taken measures to avoid overfitting and an overestimation of
the classification models’ performance such as artificially increasing
the sampling through bootstrapping and employing CV strategies,
this might not be enough to overcome this limitation. Indeed, our
complementary analysis comparing the models’ training and testing
performance (results in the Supplementary material) is indicative
that some of the tested classification models (mainly trained with
neuroimaging or with SNPs) might suffer from some degree of
overfitting. Ultimately, we cannot determine whether our negative
findings were due to lack of power to obtain a good performance
or due to a true lack of association between the predictors and the
transition to psychosis from an ARMS (and hence inflated findings
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from previous studies). This is one of the reasons why replication
studies in independent datasets are essential in ML literature. As a
final note, a power analysis for this study design would have been the
most informative way to define the sample size needed to achieve an
accuracy in predicting transition to psychosis from an ARMS better
than chance level. However, this is not a trivial task in ML analysis
and there is no established method to perform this analysis as there is
for univariate analysis [for examples of studies exploring innovative
ways of computing sample size for classification problems see Refs.
(58, 59)] and, therefore, it was not performed.
Second, in order to dilute possible confounding effects in the
developed classification models we have restricted the samples used to
train the models to: (a) be class-balanced, i.e., with the same number
of ARMS-T and ARMS-NT subjects; (b) be matched for age, sex,
scanning acquisition protocols for neuroimaging data; (c) include
subjects with European ancestry only for genetic data; and (d) limit
the proportion of missing data for the environment data. Although
this has artificially homogenized the study sample thus avoiding the
presence of statistical confounders, it has deemed the sample to be less
representative of the ARMS population. Third, overall, the findings of
this study are only valid to young help-seeking individuals, i.e., that
are clinically screened for ARMS criteria, and whose ARMS diagnosis
was based on having a schizotypal personality disorder or on the
subject’s familial-high risk coupled with functioning decline and on
the CAARMS (54), which mainly evaluates positive symptoms.
5. Conclusion and future directions
In this study, we explored the value of using exclusively
quantitative and multimodal data (i.e., as predictors) to predict
transition to psychosis from an ARMS. Overall, we found that,
contrary to what has been previously reported, sMRI could not
predict transition to psychosis from an ARMS. We have employed
several ML strategies aiming to replicate the highly promising
previous positive sMRI findings (74–84%) (10–15). This is even
though our sample was larger than four of the above 6 studies (10,
11, 13, 14), respectively (Conversely, our sample was smaller than
two of the above studies [Das et al. (15); Koutsouleris et al. (12),
respectively]. This points to the need for a cautious interpretation
of small sample size studies. Also, we could not replicate the one
previous evidence of the value of the schizophrenia PRS in predicting
transition to psychosis. Moreover, and to the best of our knowledge,
we explored for the first time the value of environment in the
prediction of psychosis already from a prodromal stage. Lastly, the
genetic and the environmental data used could not predict transition
to psychosis from an ARMS. In summary, the present study should
serve as a call for caution and skepticism regarding the currently
achievable prognostic and diagnostic biomarker development goals,
with the existing modeling tools and data measurement tools.
Additionally, our study’s methodological approaches tailored to
each data modality, may serve as suggestive proofs-of-concept for
the exploration of future multimodal datasets, either for novel
discovery or replication of previous promising findings, across
psychiatric disorders, not exclusive to ARMS. We further suggest
larger samples (in the several hundreds) should be employed for
both model training and testing, given the inherent high data
dimensionality (specially of neuroimaging and genetics) and the
little established relevance of individual features. Although
still
heterogeneity in phenotypic measurements is increased in larger
they bring not only statistical power but ecological
samples,
generalizability, and thus carry a higher potential to be clinically
useful. This is best achieved with consortia multi-center studies
which are increasingly common albeit not without challenges (60).
Alternatively, methods for synthetic generation of data such as the
Generative Adversarial Networks (GAN)-based are also a promising
avenue for sample size augmentation, now starting to be applied in
the clinical research field (61). Last, but not least, we recommend
the use of objective and quantitative criteria-based tools for the
assessment of a ML biomarker’s clinical applicability, once high
effect size and accuracy estimates are achieved, such as one we have
previously proposed (62).
Data availability statement
The datasets presented in this article are not readily available
include public data sharing.
should be directed to the
because ethics approval did not
Requests
the datasets
corresponding author.
to access
Ethics statement
The studies involving human participants were reviewed and
approved by NHS South East London Research Ethics Committee.
The patients/participants provided their written informed consent to
participate in this study.
Author contributions
VT ran most data preprocessing and statistical analyses and
drafted the manuscript. EV coordinated genotyping and advised
the genetic and environmental data analysis. AM and HF provided
advise on imaging data processing and machine learning analysis.
JS and IV collected imaging data. GB provided advise on imaging
data processing. DP collected genetic and environmental data, co-
designed the study, ran preliminary data preprocessing and machine
learning analyses, and supervised the study. All authors revised the
manuscript and agreed with its final version.
Funding
This study, VT received support from Fundação para a Ciência
e a Tecnologia (FCT) Ph.D. fellowship PD/BD/114460/2016 and
DSAIPA/DS/0065/2018 grants; DP received primary support from
National Institute for Health Research (NIHR) PDF-2010-03-047
grant, and additionally from FCT FCT-IF/00787/2014, LISBOA-
01–0145-FEDER-030907, and DSAIPA/DS/0065/2018 grants, and
a European Commission (EC) Marie Curie Career Integration
Grant (FP7-PEOPLE-2013-CIG 631952). EV was part-funded by
the NIHR Maudsley Biomedical Research Centre at South London
and Maudsley NHS Foundation Trust and King’s College London.
IV was supported by EC’s Horizon 2020 Marie Skłodowska-Curie
grant (Ref. 754550, project BITRECS) and “La Caixa” Foundation
(LCF/PR/GN18/50310006).
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Acknowledgments
We thank Prof. Philip McGuire for his invaluable guidance
during data design and collection, the OASIS team, and all volunteers
with an ARMS who made this study possible.
organizations, or those of the publisher, the editors and the reviewers.
Any product that may be evaluated in this article, or claim that may
be made by its manufacturer, is not guaranteed or endorsed by the
publisher.
Conflict of interest
Author disclaimer
The authors declare that the research was conducted in the
absence of any commercial or financial relationships that could be
construed as a potential conflict of interest.
The reviewer SV declared a shared affiliation with the authors EV,
IV, GB, and DP to the handling editor at the time of review.
Publisher’s note
The views expressed were those of the authors and not necessarily
those of any of the above sponsors.
Supplementary material
All claims expressed in this article are solely those of the
authors and do not necessarily represent those of their affiliated
The Supplementary Material for this article can be found online
at: https://www.frontiersin.org/articles/10.3389/fpsyt.2022.1086038/
full#supplementary-material
References
1. Schrimpf L, Aggarwal A, Lauriello J. Psychosis. Contin Lifelong Learn Neurol. (2018)
24:845–60. doi: 10.1212/CON.0000000000000602
2. Fusar-Poli P, Borgwardt S, Bechdolf A, Addington J, Riecher-Rössler A, Schultze-
Lutter F, et al. The psychosis high-risk state. JAMA Psychiatry. (2013) 70:107. doi: 10.1001/
jamapsychiatry.2013.269
3. Kahn R, Sommer I, Murray R, Meyer-Lindenberg A, Weinberger D, Cannon T, et al.
Schizophrenia. Nat Rev Dis Prim. (2015) 1:15067. doi: 10.1038/nrdp.2015.67
4. Schultze-Lutter F, Ruhrmann S, Fusar-Poli P, Bechdolf AG, Schimmelmann B,
Klosterkotter J. Basic symptoms and the prediction of first-episode psychosis. Curr Pharm
Des. (2012) 18:351–7. doi: 10.2174/138161212799316064
5. Correll C, Schooler N. Negative symptoms in schizophrenia: A review and clinical
guide for recognition, assessment, and treatment. Neuropsychiatr Dis Treat. (2020)
16:519–34. doi: 10.2147/NDT.S225643
6. Sheffield J, Karcher N, Barch D. Cognitive deficits in psychotic disorders: A lifespan
perspective. Neuropsychol Rev. (2018) 28:509–33. doi: 10.1007/s11065-018-9388-2
7. Yung A, McGorry P, McFarlane C, Jackson H, Patton G, Rakkar A. Monitoring and
care of young people at incipient risk of psychosis. Schizophr Bull. (1996) 22:283–303.
doi: 10.1093/schbul/22.2.283
8. Salazar De Pablo G, Radua J, Pereira J, Bonoldi I, Arienti V, Besana F, et al. Probability
of transition to psychosis in individuals at clinical high risk: An updated meta-analysis.
JAMA Psychiatry. (2021) 78:970–8. doi: 10.1001/jamapsychiatry.2021.0830
9. Fusar-Poli P, Bechdolf A, Taylor M, Bonoldi I, Carpenter W, Yung A, et al. At risk for
schizophrenic or affective psychoses? A meta-analysis of DSM/ICD diagnostic outcomes
in individuals at high clinical risk. Schizophr Bull. (2013) 39:923–32. doi: 10.1093/schbul/
sbs060
10. Koutsouleris N, Meisenzahl E, Davatzikos C, Bottlender R, Frodl T, Scheuerecker J,
et al. Use of neuroanatomical pattern classification to identify subjects in at-risk mental
states of psychosis and predict disease transition. Arch Gen Psychiatry. (2009) 66:700–12.
doi: 10.1001/archgenpsychiatry.2009.62
11. Koutsouleris N, Borgwardt S, Meisenzahl E, Bottlender R, Möller H, Riecher-Rössler
A. Disease prediction in the at-risk mental state for psychosis using neuroanatomical
biomarkers: Results from the fepsy study. Schizophr Bull. (2012) 38:1234–46. doi: 10.1093/
schbul/sbr145
12. Koutsouleris N, Riecher-Rössler A, Meisenzahl E, Smieskova R, Studerus E,
Kambeitz-Ilankovic L, et al. Detecting the psychosis prodrome across high-risk
populations using neuroanatomical biomarkers. Schizophr Bull. (2015) 41:471–82. doi:
10.1093/schbul/sbu078
13. Zarogianni E, Storkey A, Johnstone E, Owens D, Lawrie S. Improved individualized
prediction of schizophrenia in subjects at familial high risk, based on neuroanatomical
data, schizotypal and neurocognitive features. Schizophr Res. (2017) 181:6–12. doi: 10.
1016/j.schres.2016.08.027
15. Das T, Borgwardt S, Hauke D, Harrisberger F, Lang U, Riecher-Rössler A, et al.
Disorganized gyrification network properties during the transition to psychosis. JAMA
Psychiatry. (2018) 75:613–22. doi: 10.1001/jamapsychiatry.2018.0391
16. Perkins D, Loohuis L, Barbee J, Ford J, Jeffries C, Addington J, et al. Polygenic risk
score contribution to psychosis prediction in a target population of persons at clinical high
risk. Am J Psychiatry. (2020) 177:155–63. doi: 10.1176/appi.ajp.2019.18060721
17. Struyf J, Dobrin S, Page D. Combining gene expression, demographic and clinical
data in modeling disease: A case study of bipolar disorder and schizophrenia. BMC
Genomics. (2008) 9:531. doi: 10.1186/1471-2164-9-531
18. Yang H, Liu J, Sui J, Pearlson G, Calhoun V. A hybrid machine learning method for
fusing fMRI and genetic data: Combining both improves classification of schizophrenia.
Front Hum Neurosci. (2010) 4:192. doi: 10.3389/fnhum.2010.00192
19. Aguiar-Pulido V, Seoane J, Rabuñal
J, Dorado J, Pazos A, Munteanu C.
Machine learning techniques for single nucleotide polymorphism - disease classification
models in schizophrenia. Molecules. (2010) 15:4875–89. doi: 10.3390/molecules1507
4875
20. Chen J, Wu J, Mize T, Shui D, Chen X. Prediction of schizophrenia diagnosis by
integration of genetically correlated conditions and traits. J Neuroimmune Pharmacol.
(2018) 13:532–40. doi: 10.1007/s11481-018-9811-8
21. Vivian-Griffiths T, Baker E, Schmidt K, Bracher-Smith M, Walters J, Artemiou A,
et al. Predictive modeling of schizophrenia from genomic data: Comparison of polygenic
risk score with kernel support vector machines approach. Am J Med Genet Part B
Neuropsychiatr Genet. (2019) 180:80–5. doi: 10.1002/ajmg.b.32705
22. Antonucci L, Pergola G, Pigoni A, Dwyer D, Kambeitz-Ilankovic L, Penzel N,
et al. A pattern of cognitive deficits stratified for genetic and environmental risk reliably
classifies patients with schizophrenia from healthy control subjects. Biol Psychiatry. (2020)
87:697–707. doi: 10.1016/j.biopsych.2019.11.007
23. Pettersson-Yeo W, Benetti S, Marquand A, Dell’Acqua F, Williams S, Allen P, et al.
Using genetic, cognitive and multi-modal neuroimaging data to identify ultra-high-risk
and first-episode psychosis at the individual level. Psychol Med. (2013) 43:2547–62. doi:
10.1017/S003329171300024X
24. Fromer M, Roussos P, Sieberts S, Johnson J, Kavanagh D, Perumal T, et al. Gene
expression elucidates functional impact of polygenic risk for schizophrenia. Nat Neurosci.
(2016) 19:1442–53.
25. Koutsouleris N, Dwyer D, Degenhardt F, Maj C, Urquijo-Castro M, Sanfelici R,
et al. Multimodal machine learning workflows for prediction of psychosis in patients
with clinical high-risk syndromes and recent-onset depression. JAMA Psychiatry. (2021)
78:195–209.
26. Vassos E, Di Forti M, Coleman J, Iyegbe C, Prata D, Euesden J, et al. An
examination of polygenic score risk prediction in individuals with first-episode psychosis.
Biol Psychiatry. (2017) 81:470–7. doi: 10.1016/j.biopsych.2016.06.028
14. Zarogianni E, Storkey A, Borgwardt S, Smieskova R, Studerus E, Riecher-Rössler
A, et al. Individualized prediction of psychosis in subjects with an at-risk mental state.
Schizophr Res. (2019) 214:18–23. doi: 10.1016/j.schres.2017.08.061
27. Pardiñas A, Holmans P, Pocklington A, Escott-Price V, Ripke S, Carrera N, et al.
Common schizophrenia alleles are enriched in mutation-intolerant genes and in regions
under strong background selection. Nat Genet. (2018) 50:381–9.
Frontiers in Psychiatry
15
frontiersin.org
fpsyt-13-1086038
January 13, 2023
Time: 17:35
# 16
Tavares et al.
10.3389/fpsyt.2022.1086038
28. Vassos E, Sham P, Kempton M, Trotta A, Stilo S, Gayer-Anderson C, et al. The
Maudsley environmental risk score for psychosis. Psychol Med. (2020) 50:2213–20. doi:
10.1017/S0033291719002319
45. Hubert M, Rousseeuw P, Vanden Branden K. ROBPCA: A new approach to
robust principal component analysis. Technometrics. (2005) 47:64–79. doi: 10.1198/
004017004000000563
29. Broome M, Woolley J, Johns L, Valmaggia L, Tabraham P, Gafoor R, et al. Outreach
and support in south London (OASIS): implementation of a clinical service for prodromal
psychosis and the at risk mental state. Eur Psychiatry. (2005) 20:372–8. doi: 10.1016/j.
eurpsy.2005.03.001
30. Phillips L, Yung A, McGorry P. Identification of young people at risk of psychosis:
validation of Personal Assessment and Crisis Evaluation Clinic intake criteria. Aust N Z J
Psychiatry. (2000) 34Suppl:S164–9. doi: 10.1046/j.1440-1614.2000.00798.x
31. Nelson H. The National Adult Reading Test (NART): Test Manual. Wind UK
NFER-Nelson. (1982) 124:0–25.
32. American Psychiatric Association. Diagnostic and Statistical Manual of Mental
Disorders, Text Revision (DSM-IV-TR). Fourth ed. (Vol. 1). Arlington, VA: American
Psychiatric Association (2000).
33. Murray R, Mondelli V, Stilo S, Trotta A, Sideli L, Ajnakina O, et al. The influence of
risk factors on the onset and outcome of psychosis: What we learned from the GAP study.
Schizophr Res. (2020) 225:63–8. doi: 10.1016/j.schres.2020.01.011
34. Tavares V, Prata D, Ferreira H. Comparing SPM12 and CAT12 segmentation
pipelines: a brain tissue volume-based age and Alzheimer’s disease study. J Neurosci
Methods. (2020) 334:108565. doi: 10.1016/j.jneumeth.2019.108565
35. Hammers A, Allom R, Koepp M, Free S, Myers R, Lemieux L, et al. Three-
dimensional maximum probability atlas of the human brain, with particular reference to
the temporal lobe. Hum Brain Mapp. (2003) 19:224–47. doi: 10.1002/hbm.10123
36. Desikan R, Ségonne F, Fischl B, Quinn B, Dickerson B, Blacker D, et al. An
automated labeling system for subdividing the human cerebral cortex on MRI scans into
gyral based regions of interest. Neuroimage. (2006) 31:968–80. doi: 10.1016/j.neuroimage.
2006.01.021
37. Dahnke, R, Ziegler G, Grosskreutz J, Gaser C. Retrospective Quality Assurance of MR
Images. Seattle, WA: Human Brain Mapping (2013). Availale online at: http://dbm.neuro.
uni-jena.de/HBM2013/Dahnke01.pdf
38. Bramon E, Pirinen M, Strange A, Lin K, Freeman C, Bellenguez C, et al. A
genome-wide association analysis of a broad psychosis phenotype identifies three loci for
further investigation. Biol Psychiatry. (2014) 75:386–97. doi: 10.1016/j.biopsych.2013.03
.033
39. Kambeitz-Ilankovic L, Meisenzahl E, Cabral C, von Saldern S, Kambeitz J, Falkai
P, et al. Prediction of outcome in the psychosis prodrome using neuroanatomical
pattern classification. Schizophr Res. (2016) 173:159–65. doi: 10.1016/j.schres.2015.03
.005
40. Koutsouleris N, Kambeitz-Ilankovic L, Ruhrmann S, Rosen M, Ruef A, Dwyer D,
et al. Prediction models of functional outcomes for individuals in the clinical high-risk
state for psychosis or with recent-onset depression: A multimodal, multisite machine
learning analysis. JAMA Psychiatry. (2018) 75:1156–72. doi: 10.1001/jamapsychiatry.2018.
2165
41. R Core Team. R: A Language and Environment for Statistical Computing. Vienna: R
Foundation for Statistical Computing (2014).
42. Ripke S, Neale B, Corvin A, Walters J, Farh K, Holmans P, et al. Biological insights
from 108 schizophrenia-associated genetic loci. Nature. (2014) 511:421–7. doi: 10.1038/
nature13595
43. Tavares V, Monteiro J, Vassos E, Coleman J, Prata D. Evaluation of genotype-based
gene expression model performance: A cross-framework and cross-dataset study. Genes
(Basel). (2021) 12:1531. doi: 10.3390/genes12101531
44. Hubert M, Rousseeuw P, Verdonck T. Robust PCA for skewed data and its outlier
map. Comput Stat Data Anal. (2009) 53:2264–74. doi: 10.1016/j.csda.2008.05.027
46. Cortes C, Vapnik V. Support-vector networks. Mach Learn. (1995) 20:273–97. doi:
10.1007/BF00994018
47. Burges C. A tutorial on support vector machines for pattern recognition. Data Min
Knowl Discov. (1998) 2:121–67.
48. Zou H, Hastie T. Regularization and variable selection via the elastic net. J R Stat Soc
Ser B Stat Methodol. (2005) 67:301–20. doi: 10.1111/j.1467-9868.2005.00503.x
49. Fjell A, Walhovd K. Structural brain changes in aging: courses, causes and cognitive
consequences. Rev Neurosci. (2010) 21:187–221. doi: 10.1515/REVNEURO.2010.21.3.187
50. Ruigrok A, Salimi-Khorshidi G, Lai M, Baron-Cohen S, Lombardo MV, Tait R, et al.
A meta-analysis of sex differences in human brain structure. Neurosci Biobehav Rev. (2014)
39:34–50. doi: 10.1016/j.neubiorev.2013.12.004
51. Castillejos M, Martín-Pérez C, Moreno-Küstner B. Incidence of psychotic disorders
and its association with methodological issues. A systematic review and meta-analyses.
Schizophr Res. (2019) 204:458–9. doi: 10.1016/j.schres.2018.07.031
52. Falahati F, Ferreira D, Soininen H, Mecocci P, Vellas B, Tsolaki M, et al. The effect
of age correction on multivariate classification in Alzheimer’s Disease, with a focus on
the characteristics of incorrectly and correctly classified subjects. Brain Topogr. (2016)
29:296–307. doi: 10.1007/s10548-015-0455-1
53. Wachinger C, Rieckmann A, Pölsterl S. Detect and correct bias in multi-site
neuroimaging datasets. Med Image Anal. (2021) 67:101879. doi: 10.1016/j.media.2020.
101879
54. Yung A, Yung A, Pan Yuen H, Mcgorry P, Phillips L, Kelly D, et al. Mapping the
onset of psychosis: The comprehensive assessment of at-risk mental states. Aust New Zeal
J Psychiatry. (2005) 39:964–71. doi: 10.1080/j.1440-1614.2005.01714.x
55. Addington J, Cadenhead K, Cornblatt B, Mathalon D, McGlashan T, Perkins D, et al.
North American Prodrome Longitudinal Study (NAPLS 2): Overview and recruitment.
Schizophr Res. (2012) 142:77–82. doi: 10.1016/j.schres.2012.09.012
56. Guloksuz S, Rutten B, Pries L, Ten Have M, De Graaf R, Van Dorsselaer S, et al.
The complexities of evaluating the exposome in psychiatry: A data-driven illustration
of challenges and some propositions for amendments. Schizophr Bull. (2018) 44:1175–9.
doi: 10.1093/schbul/sby118
57. Padmanabhan J, Shah J, Tandon N, Keshavan M. The “polyenviromic risk
score”: Aggregating environmental risk factors predicts conversion to psychosis in
familial high-risk subjects. Schizophr Res. (2017) 181:17–22. doi: 10.1016/j.schres.2016.
10.014
58. Figueroa R, Zeng-Treitler Q, Kandula S, Ngo L. Predicting sample size required for
classification performance. BMC Med Inform Decis Mak. (2012) 12:8. doi: 10.1186/1472-
6947-12-8
59. Dobbin K, Simon R. Sample size planning for developing classifiers using
high-dimensional DNA microarray data. Biostatistics. (2007) 8:101–17. doi: 10.1093/
biostatistics/kxj036
60. Tognin S, Van Hell H, Merritt K, Winter-Van Rossum I, Bossong M, Kempton M,
et al. Towards precision medicine in psychosis: Benefits and challenges of multimodal
multicenter studies - PSYSCAN: Translating neuroimaging findings from research into
clinical practice. Schizophr Bull. (2020) 46:432–41.
61. Laino M, Cancian P, Politi L, Della Porta M, Saba L, Savevski V. Generative
adversarial networks in brain imaging: A narrative review. J Imaging. (2022) 8:83. doi:
10.3390/jimaging8040083
62. Prata D, Mechelli A, Kapur S. Clinically meaningful biomarkers for psychosis: A
systematic and quantitative review. Neurosci Biobehav Rev. (2014) 45:134–41. doi: 10.
1016/j.neubiorev.2014.05.010
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Data Availability Statement: The code and data underlying this article will be shared on reasonable
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Data Availability Statement: The code and data underlying this article will be shared on reasonable request to the corresponding author.
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Article
The Impact of Influencers on Cigar Promotions: A Content
Analysis of Large Cigar and Swisher Sweets Videos on TikTok
Jiaxi Wu 1
Traci Hong 1 and Jessica L. Fetterman 9,*
, Alyssa F. Harlow 2, Derry Wijaya 3, Micah Berman 4, Emelia J. Benjamin 5,6,7
, Ziming Xuan 8,
1 College of Communication, Boston University, Boston, MA 02215, USA; jiaxiw@bu.edu (J.W.);
tjhong@bu.edu (T.H.)
2 Department of Population and Public Health Sciences, Keck School of Medicine, University of Southern
California, Los Angeles, CA 90032, USA; afharlow@usc.edu
3 Department of Computer Science, Boston University, Boston, MA 02215, USA; wijaya@bu.edu
4 College of Public Health & Moritz College of Law, The Ohio State University, Columbus, OH 43210, USA;
berman.31@osu.edu
5 National Heart, Lung, and Blood Institute’s Framingham Heart Study, Framingham, MA 20892, USA;
6
emelia@bu.edu
Section of Cardiovascular Medicine, Boston Medical Center, Department of Medicine, School of Medicine,
Boston University, Boston, MA 02118, USA
7 Department of Epidemiology, School of Public Health, Boston University, Boston, MA 02118, USA
8 Department of Community Health Sciences, School of Public Health, Boston University,
9
Boston, MA 02118, USA; zxuan@bu.edu
Evans Department of Medicine, Whitaker Cardiovascular Institute, School of Medicine, Boston University,
Boston, MA 02118, USA
* Correspondence: jefetter@bu.edu; Tel.: +1-617-358-7544
Citation: Wu, J.; Harlow, A.F.;
Wijaya, D.; Berman, M.;
Benjamin, E.J.; Xuan, Z.; Hong, T.;
Fetterman, J.L. The Impact of
Influencers on Cigar Promotions: A
Content Analysis of Large Cigar and
Swisher Sweets Videos on TikTok. Int.
J. Environ. Res. Public Health 2022, 19,
7064. https://doi.org/10.3390/
ijerph19127064
Academic Editor: David Berrigan
Received: 16 March 2022
Accepted: 7 June 2022
Published: 9 June 2022
Publisher’s Note: MDPI stays neutral
with regard to jurisdictional claims in
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iations.
Abstract: Little is known about the content, promotions, and individuals in cigar-related videos on
TikTok. TikTok videos with large cigar and Swisher Sweets-related hashtags between July 2016 and
September 2020 were analyzed. Follower count was used to identify influencers. We compared con-
tent characteristics and demographics of featured individuals between cigar types, and by influencer
status. We also examined the association between content characteristics and video engagement.
Compared to large cigar videos, Swisher Sweets videos were more likely to feature arts and crafts
with cigar packages, cannabis use, and flavored products. In addition, Swisher Sweets videos were
also more likely to feature females, Black individuals, and younger individuals. Both Swisher Sweets
and large cigar influencers posted more videos of cigar purchasing behaviors than non-influencers,
which was associated with more video views. None of the videos disclosed sponsorship with #ad or
#sponsored. Videos containing the use of cigar packages for arts and crafts, and flavored products
highlight the importance of colorful packaging and flavors in the appeal of Swisher Sweets cigars,
lending support for plain packaging requirements and the prohibition of flavors in cigar products to
decrease the appeal of cigars. The presence and broad reach of cigar promotions on TikTok requires
stricter enforcement of anti-tobacco promotion policies.
Keywords:
promotion; TikTok
cigars;
little cigars; flavored cigars; Swisher Sweets; social media;
influencer
Copyright: © 2022 by the authors.
1. Introduction
Licensee MDPI, Basel, Switzerland.
This article is an open access article
distributed under
the terms and
conditions of the Creative Commons
Attribution (CC BY) license (https://
creativecommons.org/licenses/by/
4.0/).
In 2020, cigars were the most used combustible tobacco product with a higher preva-
lence of use than cigarettes among US youth [1]. Between 2009 and 2020, the increase in US
cigar sales was primarily driven by the sale of flavored cigars [2]. Swisher Sweets, a leading
flavored cigar brand, accounted for over 22% of market shares in US Convenience Stores
in 2020 [3]. Factors that contribute to the increased cigar use among youth and young
adults include the availability of flavors [4], small pack sizes [5], the industry’s targeted
Int. J. Environ. Res. Public Health 2022, 19, 7064. https://doi.org/10.3390/ijerph19127064
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marketing [6], features that facilitate cannabis use [7], psychosocial factors [8], and reduced
health risk perceptions of cigar smoking compared to cigarette smoking [9].
Cigars are broadly categorized into three types: large cigars, cigarillos, and little
cigars [10]. The large cigar category includes both premium hand-rolled and machine-
made large cigars. Cigarillos are short and narrow cigars that usually do not contain a
filter and are available in a wide array of flavors. Little cigars are similar in size and shape
to cigarettes and typically contain a filter. Historically, cigars were primarily premium
cigars and were used mainly by older, predominantly white men who reported infrequent
use and no inhalation [11]. As a result, cigars are not as heavily regulated and taxed as
cigarettes [12].
Cigar companies promote product features prohibited in cigarettes, such as flavors
and small pack sizes [13]. Regulatory loopholes have resulted in the generation of cigar
products, specifically flavored little cigars and cigarillos (LCCs), designed to appeal to
youth, young adults, and individuals of low-socioeconomic status [12]. As a result, the
demographic characteristics of users, cigar product use patterns, purchasing behaviors,
and reasons for use vary by cigar type [14]. Compared to users of premium large cigars,
users of LCCs tend to be younger, non-Hispanic Black, have low educational attainment,
and have low income. People who smoked LCCs are also more likely to report the use of a
flavored, commonly used brand cigar than individuals who used premium cigars. Thus, it
is critical to distinguish between people who use premium large cigars from people who
use flavored LCCs, and to develop targeted public health and intervention efforts toward
users of different cigar products [15].
Cigar smoking in the US also presents a critical health equity issue. Cigar companies
use targeted strategies to promote products to communities of color [16]. As a result, the
prevalence of cigar use is higher among non-Hispanic Black individuals than among other
racial/ethnic groups [15]. In addition, Black youth are more likely to initiate tobacco use
with cigars compared to White youth [17]. Recent surveillance data also indicate a higher
prevalence of cigar use among high school students who are Black, compared to White and
Hispanic youth [1].
Social media use is pervasive among youth, with 85% of youth using at least one social
media site, and 45% say they are constantly online [18]. Social media has given rise to a
class of non-traditional celebrities called influencers, who have large online followings
and are valued as opinion leaders [19].
Influencers promoting tobacco products can
potentially affect their followers’ attitudes and use of tobacco products. Followers of
tobacco influencers are more likely to be an especially vulnerable group because they tend
to be younger, have lower education, and are more likely to report past month tobacco use
than those who do not follow tobacco influencers [20]. The positive association between
exposure and engagement with tobacco-related social media content and tobacco use
among youth warrants investigation into the prevalence of tobacco-related influencer
promotions on social media [21].
Social learning theory provides a basis for explaining the effects of exposure to tobacco-
related influencer posts on youth tobacco use [22]. Social learning theory posits that people
acquire behaviors through observing, modeling, and imitating the behaviors of others [22].
Individuals who are observed are referred to as models. In real life, young people are
surrounded by different types of influential models, from parents and teachers to peers. In
contrast, on social media, models for behaviors are more limited, primarily to influencers
who are often paid for sponsorships of products and services. Thus, by observing examples
of behavior through social media, people, especially youth, are more likely to adopt the
attitudes and behaviors exhibited by the influencer [23].
TikTok is the fastest-growing social media platform in the world and was the most
downloaded mobile app in 2021 [24]. TikTok is especially popular among youth, with
those 14 years and younger accounting for more than a third of TikTok’s 49 million daily
users in the US [25]. On TikTok, users are continuously provided with new content, as
videos start automatically one after another, unprompted [26]. On average, users spend
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52 min on the platform and consume more than 200 videos per day, including carefully
targeted ads [27]. TikTok’s user guidelines prohibit the posting of “content that depicts
minors consuming, possessing, or suspected of consuming alcoholic beverages, drugs,
or tobacco”, and the advertising or trade of tobacco products is also prohibited [28,29];
however, previous research found widespread tobacco promotions on Facebook, despite
the platform’s policies prohibiting tobacco advertising [30]. It is unknown if TikTok’s
anti-tobacco promotion policies are enforced, warranting further examination.
The goal of the current study was to examine the portrayals and promotions of
large cigars and LCCs on TikTok, which is largely unexplored. Specifically, we compared
the content features and individuals in videos of the different cigar types, and between
influencer and non-influencer cigar videos. Our analysis of cigar-related videos on TikTok
adds to the literature describing the differences in the users and use patterns of different
types of cigar products. We also examined the association between content features and
video popularity on TikTok.
2. Materials and Methods
2.1. Data Collection
We searched for different large cigar and LCC-related hashtags on TikTok to identify
the most representative hashtags for cigar-related videos. Our initial observation on TikTok
revealed that the hashtags “#cigar” and “#cigars” were commonly used in videos of traditional
large cigars (see Supplemental Table S1 for details on the number of videos identified by hash-
tag). We also searched hashtags #littlecigar, #littlecigars, #cigarillo, and #cigarillos to identify
LCC-related videos; however, these LCC-related hashtags were rarely used by TikTok users.
To identify content on TikTok related to LCCs, we extended our search to include Swisher
Sweets-related hashtags (“#swisher”, “#swishers”, “#swishersweet”, “#swishersweets”), given
that LCC users are more familiar with brand names rather than the terms “cigarillos” or “little
cigars” [31] and are more likely to mention specific brands when posting about LCCs [32]. We
found that Swisher Sweets-related hashtags were viewed over 16 million times on TikTok.
Because Swisher Sweets is the leading cigar brand in the US for LCCs [33], is preferred among
the US youth and young adults [34], and is commonly used as a keyword in previous social
media research of LCCs [35–38], we only used Swisher Sweets-related hashtags to retrieve
LCC-related TikTok videos for the current study.
TikTok’s Terms of Service [39] prohibits the use of public videos for commercial
purposes, which was not the intent of this study. On September 17, 2020, using an open-
source TikTok scraping tool [40], we scraped all 4361 publicly available videos with cigar
and Swisher Sweets-related hashtags ever posted on TikTok. Pre-determined large cigar
and Swisher Sweets hashtags were used to identify all publicly available TikTok videos
that contained those hashtags up to the scraping date. We scraped: (1) 3456 videos with
cigar-related hashtags and (2) 905 videos with Swisher Sweets-related hashtags. We also
collected the associated metadata, including numbers of video views, likes, shares, and
follower counts. Data for this study were stored in a password-protected computer and
were only accessible to the authors. Research procedures were deemed to not meet the
definition of human subjects research by the Authors’ Institutional Review Board due to
the use of publicly available data.
2.2. Sample
Previous research has defined influencers as individuals with a minimum of
1000 followers [37]. For our study, we defined influencers as those with the top 75th
percentile of total followers within each hashtag dataset because the follower counts varied
between the large cigar and Swisher Sweets videos. Because people who smoke large
cigars and Swisher Sweets differ in demographic features, cigar-smoking patterns, and
purchasing behaviors [14], we sampled influencers for large cigar and Swisher Sweets
videos separately; thus, instead of using a fixed number, which may cause biased sampling,
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we used the 75th percentile of followers within each hashtag to ensure we identified the
top influential users for each of the two cigar types.
The minimum number of followers for an influencer was 15,000 and 1759 for large cigar
videos and Swisher Sweets videos, respectively. We included all videos from influencers
and randomly selected the matched numbers of videos from non-influencers for each of
the respective hashtag categories. We also excluded non-English and non-relevant videos,
resulting in a final sample of N = 1700 videos (1333 cigar videos and 367 Swisher Sweets
videos, Figure 1).
Figure 1. Data sampling procedure. Influencers’ videos were identified by defining influencers as those
individuals with the top 75th quantile of number of followers within each hashtag category. The same
number of non-influencers’ videos were randomly sampled for each hashtag category. The final sample
of large cigar and Swisher Sweets videos was N = 1700 after excluding non-English videos.
2.3. Video Coding and Inter-Coder Reliability
We created a coding scheme of fifteen content features identified from previous studies
and that emerged from the current dataset. Specifically, we identified nine themes from
previous social media analyses of cigar and LCC-related posts including: (1) Product
promotion [35]; (2) Smoking cigars [32,35]; (3) Cannabis use (e.g., removing some, or all the
tobacco from the cigar and replacing it with cannabis, Figure 2A) [35]; (4) Smoke trick [35];
(5) Prevention [32]; (6) Flavor [38]; (7) Purchasing behaviors (Figure 2B) [38]; (8) Product
review (Figure 2C) [41]; and (9) Cigar-related marketing events (Figure 2D) [36]. We further
identified six themes observed from the current dataset including: (10) Arts and crafts with
cigar packages (Figure 2E); (11) Individuals dancing with background music referring to
Int. J. Environ. Res. Public Health 2022, 19, x 4 of 15 behaviors [14], we sampled influencers for large cigar and Swisher Sweets videos separately; thus, instead of using a fixed number, which may cause biased sampling, we used the 75th percentile of followers within each hashtag to ensure we identified the top influential users for each of the two cigar types. The minimum number of followers for an influencer was 15,000 and 1759 for large cigar videos and Swisher Sweets videos, respectively. We included all videos from influencers and randomly selected the matched numbers of videos from non-influencers for each of the respective hashtag categories. We also excluded non-English and non-relevant videos, resulting in a final sample of N = 1700 videos (1333 cigar videos and 367 Swisher Sweets videos, Figure 1). Figure 1. Data sampling procedure. Influencers’ videos were identified by defining influencers as those individuals with the top 75th quantile of number of followers within each hashtag category. The same number of non-influencers’ videos were randomly sampled for each hashtag category. The final sample of large cigar and Swisher Sweets videos was N = 1700 after excluding non-English videos. 2.3. Video Coding and Inter-Coder Reliability We created a coding scheme of fifteen content features identified from previous studies and that emerged from the current dataset. Specifically, we identified nine themes from previous social media analyses of cigar and LCC-related posts including: (1) Product promotion [35]; (2) Smoking cigars [32,35]; (3) Cannabis use (e.g., removing some, or all the tobacco from the cigar and replacing it with cannabis, Figure 2A) [35]; (4) Smoke trick [35]; (5) Prevention [32]; (6) Flavor [38]; (7) Purchasing behaviors (Figure 2B) [38]; (8) Int. J. Environ. Res. Public Health 2022, 19, 7064
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cigar smoking (making smoking gestures); (12) Use of the Cardi B Swisher Sweets song as
video background music; (13) Showing off multiple Swisher Sweets packages (Figure 2F).
We additionally coded: (14) Written health warnings; and (15) Audio health warnings
based upon previous research suggesting that health warnings in tobacco-related social
media posts results in a more negative tobacco brand perception [42]. Table 1 displays
descriptions of the coded video content features. Video content features were not mutually
exclusive, meaning that a video could contain multiple content features simultaneously.
Figure 2. Representative images of select video themes. (A) Cannabis use: a cigar that has been
hollowed out and filled with cannabis; (B) Purchasing behavior: a video of a user purchasing cigar
products in a convenience store; (C) Product review: a video review of the “double corona” large
cigar; (D) Cigar-related marketing events: a video of a Swisher Sweets marketing event; (E) Arts and
crafts: a video of paraphernalia emblazoned with the Swisher Sweets logo through arts and crafts;
(F) Showing off multiple Swisher Sweets packages: a video of one individual showing off all of the
Swisher Sweets packages the person has smoked.
Int. J. Environ. Res. Public Health 2022, 19, x 5 of 15 Product review (Figure 2C) [41]; and (9) Cigar-related marketing events (Figure 2D) [36]. We further identified six themes observed from the current dataset including: (10) Arts and crafts with cigar packages (Figure 2E); (11) Individuals dancing with background music referring to cigar smoking (making smoking gestures); (12) Use of the Cardi B Swisher Sweets song as video background music; (13) Showing off multiple Swisher Sweets packages (Figure 2F). We additionally coded: (14) Written health warnings; and (15) Audio health warnings based upon previous research suggesting that health warnings in tobacco-related social media posts results in a more negative tobacco brand perception [42]. Table 1 displays descriptions of the coded video content features. Video content features were not mutually exclusive, meaning that a video could contain multiple content features simultaneously. Figure 2. Representative images of select video themes. (A) Cannabis use: a cigar that has been hollowed out and filled with cannabis; (B) Purchasing behavior: a video of a user purchasing cigar products in a convenience store; (C) Product review: a video review of the “double corona” large cigar; (D) Cigar-related marketing events: a video of a Swisher Sweets marketing event; (E) Arts and crafts: a video of paraphernalia emblazoned with the Swisher Sweets logo through arts and crafts; (F) Showing off multiple Swisher Sweets packages: a video of one individual showing off all of the Swisher Sweets packages the person has smoked. Int. J. Environ. Res. Public Health 2022, 19, 7064
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Table 1. Descriptions of content features in English and relevant cigar/Swisher Sweets videos.
Video Content Features
Product Promotion
Smoking Cigars
Cannabis Use
Smoke Trick
Prevention
Flavor
Purchasing Behavior
Product Review
Cigar-related Marketing Events
Arts and Crafts with Cigar
Packages
Individual Dancing
Cardi B Swisher Sweets Music
Showing off multiple Swisher Sweets packages
Written Health Warnings
Audio Health Warnings
Sex
Presence of Males
Presence of Females
Race
Black
White
Spanish/Hispanic
Asian
Presence of Young Individuals
Descriptions
A video selling cigar products or promoting cigar stores, and professional ads
A video showing individuals smoking featured cigar products
A video of cannabis use (e.g., blunt: a cigar that has been hollowed out and
filled with cannabis)
A video of smoke tricks such as making smoke rings
A video with a main theme of the negative effects and prevention of cigar and
LCC products
A video showing or referring to flavored cigar products
A video of accessing and purchasing cigar or LCC products
A video commenting on or reviewing flavors, tastes, or features of cigar or
LCC products
A video promoting cigar companies’ marketing events (e.g., musical events)
A video of using cigar/LCC products’ packages to create arts and crafts such
as a rolling tray
A video of people dancing and making smoking gestures without smoking real
cigar products
A video using Cardi B’s “Swisher music” as background music
A video showing more than five Swisher Sweets packages simultaneously
A video containing written form of health warnings or disclaimers of
cigar/LCC smoking superimposed on the video
A video containing oral form of health warnings or disclaimers of
cigar/LCC smoking
A video featuring males
A video featuring females
A video featuring Black individuals
A video featuring White individuals
A video featuring Spanish/Hispanic individuals
A video featuring Asian individuals
A video featuring individuals who look like teens in middle/high school to
people who are under the age of 21
For videos containing people, we also coded for the following demographic features:
(1) perceived sex—the presence of males and females; (2) perceived race—the presence
of Black, White, Asian, and Hispanic or Latino individuals; and (3) perceived age—the
presence of younger or older individuals. Coders used all available visual and audial
cues (e.g., skin color, background voices, appearances) to inform their coding choices.
Consistent with a previous study that coded social media users’ age from their profile
pictures [32], we assigned “younger” to individuals who look like they were under the age
of 21 (i.e., individuals who look like teens in middle or high school to young adults under
the age of 21) and older individuals (≥21 years of age) based on visual and audio cues in
the videos. In the event demographic features were difficult to determine, coders could
select “unknown” for the sex/race/age of featured individuals if none of the visual and
audial cues were available to determine the demographics.
To attain high coding reliability, three coders were first trained on 20 videos together to
ensure the visual/audio cues used to code the content features and demographic categories
were consistent across all coders. Next, three coders independently coded 50 videos,
after which discrepancies were discussed to resolve coding disagreements. Coders first
determined whether the video was in English and relevant to cigars and Swisher Sweets. A
total of 280 videos (273 large cigar and 7 Swisher Sweets videos) were not in the English
language and were excluded from the analyses. A video was considered relevant only
when the video showed or referred to cigar smoking. An example of non-relevant videos
included videos of Swisher brand lawn mowers. Next, following the coding scheme, coders
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identified the content features and demographics of individuals in the videos. The inter-
coder reliability was calculated using 10% (N = 221) of the sample. Coding agreements were
assessed with Cohen’s Kappa values, which were above 0.7 across all content variables,
indicating a high level of intercoder reliability [43]. Three coders independently coded the
remaining videos in the sample.
2.4. Statistical Analyses
We performed chi-square tests to compare the content features and individual char-
acteristics for large cigar and Swisher Sweets videos, between influencer’s and non-
influencer’s videos within each of the cigar types, and between large cigars and Swisher
Sweets influencers’ videos. When comparing large cigars and Swisher Sweets videos, we
excluded the content features (1) use of the Cardi B Swisher Sweets song as video back-
ground music” and (2) showing off multiple Swisher Sweets packages from the analysis
because these features were unique to Swisher Sweets videos. We additionally calculated
odds ratios and 95% confidence intervals. Chi-square analyses were conducted using SPSS
(Version 26) with an alpha level of 0.05 (2-tailed) with Bonferroni correction to account for
multiple testing.
2.5. Modeling Video Engagement with Video Content Features
To identify the video content features associated with engagement (i.e., number of
views, likes, and shares) of a large cigar or Swisher Sweets videos, we formulated negative
binomial models for views and likes and negative binomial hurdle models for shares within
each of the large cigar and Swisher Sweets datasets (see SI Section 2 for modeling details).
For each of the main models predicting video popularity (i.e., views, likes, shares),
we used video content features as predictors. Given that some content features were rare
in the data sets, we only included content features that appeared more than ten times
within each dataset. We also adjusted for follower counts, which can potentially affect the
engagement of social media posts, including videos on TikTok. Negative binomial and
hurdle models were fitted using the glmmTMB package in R (version 4.1.0). A p-value less
than 0.05 (two-tailed) was considered statistically significant. The p-values of each negative
binomial and hurdle model were adjusted with the Bonferroni correction method.
2.6. Hashtag Analysis of Video Descriptions
To prohibit misleading or deceptive advertising, the Federal Trade Commission (FTC)
requires that any type of online sponsored content must clearly disclose sponsorship [44].
For each of the video post descriptions, we analyzed whether the video description con-
tained the FTC recommended sponsorship disclosure hashtags #ad and #sponsored [44].
The FTC requires disclosure of any financial relationship to the brand (including the provi-
sion of free products) and suggests the use of hashtags as one method of disclosure [45]. We
used string matching techniques in R (Version 4.1.0) to determine if the description of a post
for a video contained either of the two FTC recommended hashtags #ad and #sponsored.
3. Results
At the time of the study, the 1700 videos with large cigar and Swisher Sweets-related
hashtags had been viewed over 159 million times on TikTok. The median follower
counts for large cigar and Swisher Sweets hashtag videos were 14,900 and 1740, respec-
tively. With respect to video engagement, influencers’ cigar videos received an average of
88,749 views, 4455 likes, and 41 shares; non-influencers’ cigar videos attracted an average
of 8718 views, 304 likes, and 7 shares. Influencers’ Swisher Sweets videos received an
average of 45,625 views, 4962 likes, and 116 shares; non-influencers’ Swisher Sweets videos
elicited an average of 2434 views, 150 likes, and 10 shares (See Supplemental Table S2 for
details of video engagement for the two cigar types). For large cigar videos, the top two
prevalent video themes were smoking cigars (59.2%) and product review (13.5%). For
Swisher Sweets videos, the top two themes were flavor (48.8%) and cannabis use (28.9%)
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(See Supplemental Table S3). Coders also determined if Swisher Sweets LCCs or packaging
were included in large cigar videos. Coders found that none of the 1333 sampled large
cigar videos contained a Swisher Sweets LCC product or packaging, which is consistent
with previous research that suggests users of LLC often mentioned specific brands when
posting about LCCs, instead of using general tobacco product terms such as “cigar” and
“cigars” [32].
3.1. Comparisons of Video Content Features and Featured Individual Demographics
Chi-square analyses comparing large cigar and Swisher Sweets videos indicated
that large cigar videos contained more product promotions (p = 0.005), product reviews
(p < 0.001), and individuals smoking cigars (p < 0.001) compared to Swisher Sweets videos.
Swisher Sweets videos contained more videos of purchasing behaviors (p < 0.001), arts and
crafts with cigar packages (p < 0.001), cannabis use (p < 0.001), dancing individuals making
smoking gestures (p < 0.001), and flavored products (p < 0.001) compared to large cigar
videos (See Supplemental Table S3). Large cigar videos were more likely to feature males
(p < 0.001), while Swisher Sweets videos were more likely to show females (p < 0.001). In
addition, large cigar videos contained more White individuals than Swisher Sweets videos
(p < 0.001). In contrast, Swisher Sweets videos were associated with Black (p = 0.017), Asian
(p = 0.001), and younger individuals (p < 0.001) (See Supplemental Table S4).
Compared to large cigar non-influencers, large cigar influencers were more likely to
post about purchasing behaviors (p = 0.025) and product reviews (p < 0.001). For Swisher
Sweets videos, influencers were also more likely to post purchasing behaviors content
(p < 0.001), dancing individuals (p < 0.001), and flavored products (p = 0.041) compared
to Swisher Sweets non-influencers (See Supplemental Table S5). Interestingly, large cigar
influencers were less likely to be younger compared to the non-influencers (p = 0.009),
while the opposite association was observed for Swisher Sweets influencers, who were
more likely to be younger than non-influencers (p = 0.002) (See Supplemental Table S6).
Lastly, Chi-square analyses comparing large cigar influencer posts and Swisher Sweets
influencer posts suggested that large cigar influencers were more likely to post product
promotions (p = 0.020), product reviews (p < 0.001), and smoking individuals (p < 0.001);
however, Swisher Sweets influencers were more likely to post videos of purchasing behav-
iors (p < 0.001), arts and crafts with cigar packages (p < 0.001), cannabis use (p < 0.001),
dancing individuals making smoking gestures (p < 0.001), and flavored products (p < 0.001)
(See Supplemental Table S7). Lastly, we found large cigar influencers were more likely to
be males (p < 0.001) and White individuals than Swisher Sweets influencers (p < 0.001). On
the contrary, when compared to large cigar influencers, Swisher Sweets influencers were
more likely to be females (p < 0.001), Asian (p < 0.001), and young individuals (p < 0.001)
(See Supplemental Table S8).
3.2. Predicting Video Popularity with Video Content Features
When interpreting results of a predictor from negative binomial and Hurdle models, all
other predictors are held constant. For large cigar videos, negative binomial models showed
that after adjusting for the number of account followers and other content feature predictors,
video content of purchasing behaviors (IRR = 29.03, p < 0.001, CI = 17.03, 49.47) and product
reviews (IRR = 2.50, p < 0.001, CI = 1.98, 3.17) elicited more likes. Purchasing behaviors (IRR
= 20.92, p < 0.001, CI = 11.98, 36.53) and product reviews (IRR = 2.03, p < 0.001, CI = 1.58,
2.61) also had a greater number of views compared to videos without these content features.
We found that product promotions (IRR = 0.30, p < 0.001, CI = 0.21, 0.44) and content of an
individual smoking cigars (IRR = 0.65, p < 0.001, CI = 0.54, 0.77) was associated with fewer
likes. Product promotions (IRR = 0.32, p < 0.001, CI = 0.22, 0.47) and content of individuals
smoking cigars (IRR = 0.56, p < 0.001, CI = 0.46, 0.67) were also associated with fewer views
(See Supplemental Table S9). As for shares, the zero portion of Hurdle models revealed no
significant results for any of the content features. The positive portion of Hurdle model
suggested that videos of purchasing behaviors (IRR = 44.70, p < 0.001, CI = 9.13, 218.86)
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predicted more shares. Consistent with likes and views, product promotions (IRR = 0.29,
p = 0.019, CI = 0.12, 0.74) and content of individuals smoking cigars (IRR = 0.47, p = 0.007,
CI = 0.29, 0.77) were associated with fewer shares (See Supplemental Table S10).
For Swisher Sweets videos, negative binomial analyses showed that, after adjusting
for the number of account followers and other content feature predictors, videos that
contained content on purchasing behavior received more video views (IRR = 2.96, p = 0.036,
CI = 1.26, 7.00); however, video content of an individual smoking cigars was associated
with fewer video likes (IRR = 0.37, p = 0.005, CI = 0.21, 0.68) and fewer video views (IRR
= 0.32, p = 0.001, CI = 0.18, 0.59) (See Supplemental Table S11). When predicting video
shares, none of the content features were associated with video shares in the zero portion
of the model. The non-zero portion Hurdle model showed that smoking cigars also led to
fewer shares of a Swisher Sweets post on TikTok (IRR = 0.01, p = 0.008, CI = 0.00, 0.17) (See
Supplemental Table S12).
3.3. Disclosure of Sponsorship in Video Description
Text analyses of all of the 1700 cigars and Swisher Sweets video descriptions showed that
none of the video descriptions contained hashtags that disclosed sponsorship, including #ad
and #sponsored. Only three large cigar videos contained oral health warnings or disclaimers.
4. Discussion
The demographic characteristics, including age, sex, and race/ethnicity, differ be-
tween users of large cigars and LCCs [14]. Research suggests that socially disadvantaged
communities, especially non-Hispanic Black individuals, are more likely to smoke cigars
and to develop established cigar-smoking behaviors compared with non-Hispanic White
individuals [46]. Our findings confirmed the literature on the demographic differences
between users posting about large cigars or Swisher Sweets on TikTok. We found that
Swisher Sweets TikTok videos were more likely to feature females, younger, Black, and
Asian individuals compared to large cigar TikTok videos. When comparing between in-
fluencers and non-influencers’ videos, we found that compared to large cigar influencers,
Swisher Sweets influencers tend to be younger and were more likely to be female. Future
prevention campaigns for cigar products (i.e., large cigars and LCCs) should consider the
different use patterns and demographics of users.
Swisher Sweets is the leading LCC brand popular among youth and young adults in
the US [3]. Our study sheds light on the Swisher Sweets-related content that youth and
young adults may be exposed to on TikTok, the fastest growing social media platform
in the world that appeals to a younger population [24,25]. Future studies are needed to
evaluate the content of videos of additional cigar brands to gain a more comprehensive
understanding of LCC influencer promotions on TikTok.
Consistent with previous research across other social media platforms [35,37], our
study noted that Swisher Sweets videos on TikTok were more likely to feature cannabis use
and flavored products compared to videos featuring large cigars [35,38]. In addition, our
study found that both large cigar and Swisher Sweets influencers were more likely to post
about purchasing behaviors than non-influencer users. Large cigar influencers also posted
product review videos more frequently than non-influencer users—a common promotional
strategy of large cigars observed in traditional media such as magazines [47]. Our findings
suggest that content of purchasing behavior and product reviews lead to more views
of large cigar and Swisher Sweets videos. Future research is needed to investigate how
exposure to short-form videos of cigar-related content on TikTok affect youth’s attitudes
towards cigars and their susceptibilities to initiate and use cigars.
Exposure to celebrity-endorsed LCC promotions correlates with brand-specific cigar
smoking among young adult smokers [48]. We found that one out of ten Swisher Sweets
videos on TikTok used Cardi B’s “Swisher Sweets” song as the background music, suggesting
that celebrity celebration of tobacco products can echo widely on social media. Moreover,
our study also revealed that TikTok users, through arts and crafts, are re-purposing Swisher
Int. J. Environ. Res. Public Health 2022, 19, 7064
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Sweets packages to streetwear and paraphernalia emblazoned with the Swisher Sweets
logo. Many LCC brands, including Swisher Sweets, use colorful and shiny packages that
boldly communicate the flavor appeal to youth and young adults. Visual cues from the cigar
packaging impact young adults’ affect and increase their susceptibility to cigar smoking [49].
Regulations on the packaging of flavored cigars, including the use of pictorial warning
labels, plain packaging, and restrictions on celebrity endorsement and other youth appealing
promotional content may decrease the appeal and use of cigar products among youth.
To prohibit misleading or deceptive advertising, the FTC requires that any type of
online sponsored content must clearly disclose sponsorship. For sponsored social media
posts, the FTC recommends the use of clear hashtags such as “#ad” and “#sponsored”,
or other similarly clear methods to disclose sponsorship [44]. None of the videos in our
analyzed data set contained hashtags indicating sponsorship. We acknowledge that we do
not have access to data regarding a financial transaction between the manufacturers and
the influencers; however, given that many of the influencers in our dataset were retailers
and cigar manufacturers, the promotional regulations could also be applied to those users.
Future research may examine the prevalence and potential effects of exposure to promotions
from retailers and cigar manufacturers on purchasing intentions and behaviors. Research
has indicated that labeling commercially sponsored tobacco content on social media with
#ad and #sponsored attracts the attention of youth and young adults, making it a viable
strategy to inform audiences of the promotional nature of the posts [50]. Sponsorship
disclosure promotes critical evaluation of the promotional post and ultimately decreases
advertising effectiveness [51]. A study found that clear sponsorship disclosure decreased
young adult participants’ perceptions of influencer credibility and their intentions to
engage with e-cigarette Instagram posts [52]. Examining the effects of influencer posts and
regulatory interventions in influencer promotions on youth tobacco experimentation is an
important direction for future research.
Even though TikTok prohibits the promotion of tobacco products and the posting
of minors consuming tobacco products [29], we still observed such content on TikTok.
Exposure and engagement with tobacco-related social media content are associated with
tobacco use among youth [21]. Because more than a third of TikTok’s daily users are under
the age of 14 [25], it is crucial to restrict the promotion of youth-appealing tobacco content
on TikTok to reduce the effects of such promotions on tobacco use among youth.
Similar to a study that found that few, if any, influencers’ cigar-related posts on Twitter
contained health warnings [37], we observed that only three of all large cigar and Swisher
Sweets promotional videos contained audio health warnings or disclaimers, and no written
health warning labels were observed. Prior research has reported that the inclusion of
health warning statements in tobacco-related social media posts results in more negative
brand perceptions [52]; therefore, from a public health perspective, it is important to enforce
disclosures of sponsorship and health warnings on all content promoting tobacco products
and to remove any content featuring the use of tobacco by underage users.
Our study has several limitations. Our study was cross-sectional and observational
and hence, we cannot rule out residual confounding or establish causation. We also
cannot exclude misclassification of the features we coded. For instance, identification of an
individual’s demographic features was by external appearance and auditory cues, which
may not be as accurate as self-reported demographic data, especially for age; however, we
attempted to limit misclassification by including the option of coders to select unknown for
the demographic identification. In addition, coders were instructed to code the individuals
as over 21-years old when they were in doubt about the age determination. It is possible
that we may be under-estimating the number of videos featuring younger individuals. We
also do not know the tobacco use status of the individuals who engaged with the content;
thus, we cannot determine causation or whether engagement with influencers’ cigar videos
leads to cigar experimentation.
In violation of FTC guidance [44], many influencers do not use the recommended
methods of disclosure, such as the use of the hashtags #ad or #sponsored to indicate that
Int. J. Environ. Res. Public Health 2022, 19, 7064
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they have a “material connection” with a brand. As a result, paid influencer posts can be
difficult to identify and study. We identified influencers as those in the top 75th percentile
for the number of followers but acknowledge that we may be missing influencers who do
not fall within the 75th percentile or include individuals with large numbers of followers
who have no material connections to the industry. Previous research has identified LCC
influencers with follower counts by categorizing users with 1000 and more followers as
influencers [10]. Our study utilized a novel approach that considers the distribution of
follower counts; however, the selection of the 75th percentile was arbitrary. To address this
limitation, we conducted a sensitivity analysis identifying influencers as those individuals
in the top 90th percentile for followers (Supplemental Table S13) and compared the results
against those within the top 75th percentile. The sensitivity analysis resulted in similar
findings when comparing the individual demographics and content features in videos of
the two cigar types (see Supplemental Table S14, Supplemental Table S15, and Supplemental
Table S16 for details on the sensitivity analysis), lending validation to our methodlogy.
Our study focused on the TikTok platform and a single brand, Swisher Sweets; hence, our
findings may not be generalizable to other social media platforms or other LCC brands. We
studied the English language content on TikTok; the generalizability to other languages
is unknown. Despite these limitations, the content and user characteristics identified in
this study could inform the design of media campaigns and the development of tobacco
control efforts.
5. Conclusions
In summary, our study found that the demographics of the featured individuals
and content features differ between videos of large cigar and Swisher Sweets on TikTok.
Specifically, compared to large cigar videos, Swisher Sweets videos were more likely
to contain content of arts and crafts with cigar packages, cannabis use, and flavored
products. Swisher Sweets videos were also more likely to feature individuals who are
female, younger, Black, and Asian compared to large cigar TikTok videos. In addition,
Swisher Sweets influencers’ videos tend to feature younger, and female individuals than
large cigar influencers’ videos. We also identified specific content features that may facilitate
the engagement of large cigar and Swisher Sweets videos on TikTok. Both Swisher Sweets
and large cigar influencers posted more videos of cigar purchasing behaviors than non-
influencers, which was associated with more video views. For large cigar videos, the
content of product reviews was associated with more video views and likes on TikTok.
Our findings may inform the design and implementation of cigar prevention cam-
paigns with targeted demographic populations. Our findings lend support for enforcement
of disclosures of sponsorship and health warnings on TikTok and related regulatory actions
to restrict the promotions of youth-appealing tobacco content on social media. Our findings
also suggest an urgent need for the prohibition of flavors in cigars and extension of plain
packaging to cigar products.
Supplementary Materials: The following supporting information can be downloaded at: https:
//www.mdpi.com/article/10.3390/ijerph19127064/s1, Supplemental Table S1. Views of videos
with different cigar-related hashtags on TikTok. Supplemental Table S2. Average followers and
engagement with large cigar and Swisher Sweets TikTok Videos. Supplemental Table S3. Multiple
comparisons of video features between large cigar and Swisher Sweets videos. Supplemental Table S4.
Multiple comparisons of featured individual demographics for videos with people between large cigar
and Swisher Sweets videos. Supplemental Table S5. Multiple comparisons of video content features
between influencer and non-influencer videos within each hashtag category. Supplemental Table S6.
Multiple comparisons of featured individual demographics for videos with recognizable individuals
between influencer and non-influencer videos within each hashtag category. Supplemental Table S7.
Multiple comparisons of content features between large cigar and Swisher Sweets influencers’ videos.
Supplemental Table S8. Multiple comparisons of featured individual demographics between large
cigar and Swisher Sweets influencers’ videos. Supplemental Table S9. Predicting likes and views of
large cigar videos with video content features. Supplemental Table S10. Predicting shares of large cigar
Int. J. Environ. Res. Public Health 2022, 19, 7064
12 of 14
videos with video content features. Supplemental Table S11. Predicting likes and views of Swisher
Sweets videos with video content features. Supplemental Table S12. Predicting shares of Swisher
Sweets videos with video content features. Supplemental Table S13. Different cutoffs of follower count
in large cigar and Swisher Sweets videos. Supplemental Table S14. Multiple comparisons of video
features between large cigar and Swisher Sweets videos using the 90th percentile of followers to define
influencers. Supplemental Table S15. Multiple comparisons of featured individual demographics
for videos with people between large cigar and Swisher Sweets videos using the top 90th percentile
of followers to define influencers. Supplemental Table S16. Multiple comparisons of featured
individual demographics between large cigar and Swisher Sweets influencers’ videos using the top
90th percentile of followers to define influencers.
Author Contributions: Conceptualization, J.W., T.H., J.L.F., M.B. and E.J.B.; data curation, J.W., T.H.
and J.L.F.; methodology, J.W., T.H. and J.L.F.; writing—Original draft, J.W., T.H. and J.L.F.; writing—
Review and editing, J.W., A.F.H., D.W., M.B., E.J.B., Z.X., T.H. and J.L.F. All authors have read and
agreed to the published version of the manuscript.
Funding: Research reported in this publication was supported, in part, by the National Heart, Lung,
And Blood Institute of the National Institutes of Health under Award Number U54HL120163. The
content is solely the responsibility of the authors and does not necessarily represent the official views
of the National Institutes of Health. J. Wu reports grants from American Heart Association. J.L.
Fetterman reports grants from American Heart Association and a National Heart, Lung, and Blood
Institute K01 HL143142. A.F. Harlow reports grants from American Heart Association. E.J. Benjamin
reports grants from NIH R01HL092577 and American Heart Association AHA_18SFRN34110082.
Institutional Review Board Statement: Research procedures were deemed to not meet the definition
of human subjects by the Authors’ Institutional Review Board due to the use of publicly available data.
Informed Consent Statement: Not applicable.
Data Availability Statement: The code and data underlying this article will be shared on reasonable
request to the corresponding author.
Conflicts of Interest: The authors declare no conflict of interest.
References
1.
2.
Gentzke, A.S.; Wang, T.W.; Jamal, A.; Park-Lee, E.; Ren, C.; Cullen, K.A.; Neff, L. Tobacco Product Use Among Middle and High
School Students—United States, 2020. MMWR Morb. Mortal. Wkly. Rep. 2020, 69, 1881–1888. [CrossRef] [PubMed]
Delnevo, C.D.; Miller Lo, E.; Giovenco, D.P.; Cornacchione Ross, J.; Hrywna, M.; Strasser, A.A. Cigar Sales in Convenience Stores
in the US, 2009–2020. JAMA 2021, 326, 2429–2432. [CrossRef] [PubMed]
3. Wang, X.; Kim, Y.; Borowiecki, M.; Tynan, M.A.; Emery, S.; King, B.A. Trends in Cigar Sales and Prices, by Product and Flavor
4.
5.
6.
7.
8.
9.
Type—the United States, 2016–2020. Nicotine Tob. Res. 2021, 24, ntab238. [CrossRef]
Cullen, K.A.; Liu, S.T.; Bernat, J.K.; Slavit, W.I.; Tynan, M.A.; King, B.A.; Neff, L.J. Flavored Tobacco Product Use Among Middle
and High School Students—United States, 2014–2018. MMWR Morb. Mortal. Wkly. Rep. 2019, 68, 839–844. [CrossRef]
Giovenco, D.P.; Spillane, T.E.; Talbot, E.; Wackowski, O.A.; Audrain-McGovern, J.; Ganz, O.; Delnevo, C.D. Packaging Characteris-
tics of Top-Selling Cigars in the United States, 2018. Nicotine Tob. Res. 2022, ntac070. [CrossRef]
Kong, A.Y.; Queen, T.L.; Golden, S.D.; Ribisl, K.M. Neighborhood Disparities in the Availability, Advertising, Promotion, and
Youth Appeal of Little Cigars and Cigarillos, United States, 2015. Nicotine Tob. Res. 2020, 22, 2170–2177. [CrossRef]
Giovenco, D.P.; Miller Lo, E.J.; Lewis, M.J.; Delnevo, C.D. “They’re Pretty Much Made for Blunts”: Product Features That Facilitate
Marijuana Use Among Young Adult Cigarillo Users in the United States. Nicotine Tob. Res. 2017, 19, 1359–1364. [CrossRef]
Bierhoff, J.; Haardörfer, R.; Windle, M.; Berg, C.J. Psychological Risk Factors for Alcohol, Cannabis, and Various Tobacco Use
among Young Adults: A Longitudinal Analysis. Subst. Use Misuse 2019, 54, 1365–1375. [CrossRef]
Sterling, K.L.; Fryer, C.S.; Fagan, P. The Most Natural Tobacco Used: A Qualitative Investigation of Young Adult Smokers’ Risk
Perceptions of Flavored Little Cigars and Cigarillos. Nicotine Tob. Res. 2016, 18, 827–833. [CrossRef]
10. CDC. Cigars; CDC: Atlanta, GA, USA, 2022. Available online: https://www.cdc.gov/tobacco/data_statistics/fact_sheets/
tobacco_industry/cigars/index.htm (accessed on 16 May 2022).
11. National Cancer Institute. Cigars: Health Effects and Trends; Smoking and Tobacco Control Monographs; No 98-4302; NIH Pub:
Bethesda, MD, USA, 1998.
12. Delnevo, C.D.; Hrywna, M.; Giovenco, D.P.; Miller Lo, E.J.; O’Connor, R.J. Close, but no cigar: Certain cigars are pseudo-cigarettes
designed to evade regulation. Tob. Control 2017, 26, 349–354. [CrossRef]
13. Delnevo, C.D.; Giovenco, D.P.; Miller Lo, E.J. Changes in the Mass-merchandise Cigar Market since the Tobacco Control Act. Tob.
Regul. Sci. 2017, 3 (Suppl. S1), S8–S16. [CrossRef]
Int. J. Environ. Res. Public Health 2022, 19, 7064
13 of 14
14. Corey, C.G.; Holder-Hayes, E.; Nguyen, A.B.; Delnevo, C.D.; Rostron, B.L.; Bansal-Travers, M.; Kimmel, H.L.; Koblitz, A.; Lambert,
E.; Pearson, J.L.; et al. US Adult Cigar Smoking Patterns, Purchasing Behaviors, and Reasons for Use According to Cigar Type:
Findings From the Population Assessment of Tobacco and Health (PATH) Study, 2013–2014. Nicotine Tob. Res. 2018, 20, 1457–1466.
[CrossRef] [PubMed]
15. Weinberger, A.H.; Delnevo, C.D.; Zhu, J.; Gbedemah, M.; Lee, J.; Cruz, L.N.; Kashan, R.S.; Goodwin, R.D. Trends in Cigar Use in
the United States, 2002–2016: Diverging Trends by Race/Ethnicity. Nicotine Tob. Res. 2020, 22, 583–587. [CrossRef] [PubMed]
16. Ribisl, K.M.; D’Angelo, H.; Feld, A.L.; Schleicher, N.C.; Golden, S.D.; Luke, D.A.; Henriksen, L. Disparities in tobacco marketing
and product availability at the point of sale: Results of a national study. Prev. Med. 2017, 105, 381–388. [CrossRef] [PubMed]
17. Kowitt, S.D.; Goldstein, A.O.; Sutfin, E.L.; Osman, A.; Meernik, C.; Heck, C.; Ranney, L.M. Adolescents’ first tobacco products:
Associations with current multiple tobacco product use. PLoS ONE 2019, 14, e0217244. [CrossRef] [PubMed]
18. Pew Research Center. Teens, Social Media and Technology; Pew Research Center: Washington, DC, USA, 2018. Available online:
https://www.pewresearch.org/internet/2018/05/31/teens-social-media-technology-2018/ (accessed on 3 July 2021).
19. De Veirman, M.; Cauberghe, V.; Hudders, L. Marketing through Instagram influencers: The impact of number of followers and
product divergence on brand attitude. Int. J. Advert. 2017, 36, 798–828. [CrossRef]
20. Chu, K.H.; Majmundar, A.; Allem, J.P.; Soto, D.W.; Cruz, T.B.; Unger, J.B. Tobacco Use Behaviors, Attitudes, and Demographic
Characteristics of Tobacco Opinion Leaders and Their Followers: Twitter Analysis. J. Med. Internet Res. 2019, 21, e12676.
[CrossRef]
21. Cavazos-Rehg, P.; Li, X.; Kasson, E.; Kaiser, N.; Borodovsky, J.T.; Grucza, R.; Chen, L.-S.; Bierut, L.J. Exploring How Social Media
Exposure and Interactions Are Associated With ENDS and Tobacco Use in Adolescents From the PATH Study. Nicotine Tob. Res.
2021, 23, 487–494. [CrossRef]
22. Bandura, A.; Walters, R.H. Social Learning Theory; Prentice Hall: Englewood Cliffs, NJ, USA, 1977.
23. De Veirman, M.; Hudders, L.; Nelson, M.R. What Is Influencer Marketing and How Does It Target Children? A Review and
24.
Direction for Future Research. Front. Psychol. 2019, 10, 2685. [CrossRef]
Forbes. Top 10 Most Downloaded Apps and Games of 2021: TikTok, Telegram Big Winners; Forbes: Jersey City, NJ, USA, 2021. Available
online: https://www.forbes.com/sites/johnkoetsier/2021/12/27/top-10-most-downloaded-apps-and-games-of-2021-tiktok-
telegram-big-winners/?sh=38e68673a1fe (accessed on 16 May 2022).
25. Zhong, R.; Frenkel, S. A Third of TikTok’s U.S. Users May Be 14 or Under, Raising Safety Questions. The New York Times. 14
August 2020. Available online: https://www.nytimes.com/2020/08/14/technology/tiktok-underage-users-ftc.html (accessed
on 16 May 2022).
26. Guarda, T.; Augusto, M.F.; Victor, J.A.; Mazón, L.M.; Lopes, I.; Oliveira, P. The Impact of TikTok on Digital Marketing. In Marketing
and Smart Technologies; Rocha, Á., Reis, J.L., Peter, M.K., Cayolla, R., Loureiro, S., Bogdanovi´c, Z., Eds.; Springer: Singapore, 2021;
pp. 35–44. [CrossRef]
27. Rach, M.; Peter, M.K. How TikTok’s Algorithm Beats Facebook & Co. for Attention Under the Theory of Escapism: A Network
Sample Analysis of Austrian, German and Swiss Users. In Advances in Digital Marketing and eCommerce; Martínez-López, F.J.,
López López, D., Eds.; Springer International Publishing: Cham, Switzerland, 2021; pp. 137–143.
28. TikTok. TikTok Advertising Policies—Ad Creatives & Landing Page. 2021. Available online: https://ads.tiktok.com/help/
article?aid=9552 (accessed on 3 July 2021).
29. TikTok. Community Guidelines. 2021. Available online: https://www.tiktok.com/community-guidelines?lang=en (accessed on
30.
3 July 2021).
Jackler, R.K.; Li, V.Y.; Cardiff, R.A.L.; Ramamurthi, D. Promotion of tobacco products on Facebook: Policy versus practice. Tob.
Control 2019, 28, 67. [CrossRef]
31. Dickinson, D.M.; Johnson, S.E.; Coleman, B.N.; Tworek, C.; Tessman, G.K.; Alexander, J. The Language of Cigar Use: Focus Group
32.
Findings on Cigar Product Terminology. Nicotine Tob. Res. 2016, 18, 850–856. [CrossRef] [PubMed]
Step, M.M.; Bracken, C.C.; Trapl, E.S.; Flocke, S.A. User and Content Characteristics of Public Tweets Referencing Little Cigars.
Am. J. Health Behav. 2016, 40, 38–47. [CrossRef] [PubMed]
33. CDC. Tobacco Brand Preferences; CDC: Atlanta, GA, USA, 2021. Available online: https://www.cdc.gov/tobacco/data_statistics/
fact_sheets/tobacco_industry/brand_preference/index.htm (accessed on 6 December 2021).
34. Delnevo, C.D.; Giovenco, D.P.; Ambrose, B.K.; Corey, C.G.; Conway, K.P. Preference for flavoured cigar brands among youth,
young adults and adults in the USA. Tob. Control 2015, 24, 389. [CrossRef] [PubMed]
35. Allem, J.P.; Escobedo, P.; Chu, K.H.; Boley Cruz, T.; Unger, J.B. Images of Little Cigars and Cigarillos on Instagram Identified by
the Hashtag #swisher: Thematic Analysis. J. Med. Internet Res. 2017, 19, e255. [CrossRef]
36. Ganz, O.; Rose, S.W.; Cantrell, J. Swisher Sweets ‘Artist Project’: Using musical events to promote cigars. Tob. Control 2018, 27,
e93–e95. [CrossRef]
37. Kostygina, G.; Tran, H.; Shi, Y.; Kim, Y.; Emery, S. ‘Sweeter Than a Swisher’: Amount and themes of little cigar and cigarillo
content on Twitter. Tob. Control 2016, 25, i75–i82. [CrossRef]
38. Allem, J.-P.; Uppu, S.P.; Boley Cruz, T.; Unger, J.B. Characterizing Swisher Little Cigar–Related Posts on Twitter in 2018: Text
Analysis. J. Med. Internet Res. 2019, 21, e14398. [CrossRef]
39. TikTok. Terms of Service. 2021. Available online: https://www.tiktok.com/legal/terms-of-service?lang=en (accessed on 23
October 2021).
Int. J. Environ. Res. Public Health 2022, 19, 7064
14 of 14
40. Nord, A. TikTok Scraper & Downloader. 2021. Available online: https://www.npmjs.com/package/tiktok-scraper (accessed on
17 September 2020).
41. Montgomery, L.; Yockey, A. Rolling and scrolling: The portrayal of marijuana cigars (blunts) on YouTube. J. Subst. Use 2018, 23,
436–440. [CrossRef]
42. Guillory, J.; Kim, A.E.; Fiacco, L.; Cress, M.; Pepper, J.; Nonnemaker, J. An Experimental Study of Nicotine Warning Statements in
E-cigarette Tweets. Nicotine Tob. Res. 2020, 22, 814–821. [CrossRef]
43. Landis, J.R.; Koch, G.G. The measurement of observer agreement for categorical data. Biometrics 1977, 33, 159–174. [CrossRef]
44.
Federal Trade Commission. Disclosures 101: New FTC Resources for Social Media Influencers; Federal Trade Commission: Washington,
DC, USA, 2019. Available online: https://www.ftc.gov/news-events/blogs/business-blog/2019/11/disclosures-101-new-ftc-
resources-social-media-influencers (accessed on 3 July 2021).
Federal Trade Commission. Advertising and Marketing; Federal Trade Commission: Washington, DC, USA, 2021. Available online:
https://www.ftc.gov/tips-advice/business-center/advertising-and-marketing (accessed on 3 July 2021).
45.
46. Chen-Sankey, J.C.; Mead-Morse, E.L.; Le, D.; Rose, S.W.; Quisenberry, A.J.; Delnevo, C.D.; Choi, K. Cigar-Smoking Patterns by
Race/Ethnicity and Cigar Type: A Nationally Representative Survey Among U.S. Adults. Am. J. Prev. Med. 2021, 60, 87–94.
[CrossRef] [PubMed]
47. Wenger, L.D.; Malone, R.E.; George, A.; Bero, L.A. Cigar magazines: Using tobacco to sell a lifestyle. Tob. Control 2001, 10, 279–284.
48.
49.
[CrossRef] [PubMed]
Sterling, K.L.; Moore, R.S.; Pitts, N.; Duong, M.; Ford, K.H.; Eriksen, M.P. Exposure to celebrity-endorsed small cigar promotions
and susceptibility to use among young adult cigarette smokers. J. Environ. Public Health 2013, 2013, 520286. [CrossRef] [PubMed]
Sterling, K.L.; Fryer, C.S.; Nix, M.; Fagan, P. Appeal and Impact of Characterizing Flavors on Young Adult Small Cigar Use. Tob.
Regul. Sci. 2015, 1, 42–53. [CrossRef]
50. Klein, E.G.; Czaplicki, L.; Berman, M.; Emery, S.; Schillo, B. Visual Attention to the Use of #ad versus #sponsored on e-Cigarette
Influencer Posts on Social Media: A Randomized Experiment. J. Health Commun. 2020, 25, 925–930. [CrossRef]
51. Lee, S.; Kim, E. Influencer marketing on Instagram: How sponsorship disclosure, influencer credibility, and brand credibility
impact the effectiveness of Instagram promotional post. J. Glob. Fash. Mark. 2020, 11, 232–249. [CrossRef]
52. Vogel, E.A.; Guillory, J.; Ling, P.M. Sponsorship Disclosures and Perceptions of E-cigarette Instagram Posts. Tob. Regul. Sci. 2020,
6, 355–368. [CrossRef]
| null |
10.1103_physrevb.107.094206.pdf
| null | null |
PHYSICAL REVIEW B 107, 094206 (2023)
Probability transport on the Fock space of a disordered quantum spin chain
Isabel Creed ,1,* David E. Logan ,1,2,† and Sthitadhi Roy 3,‡
1Physical and Theoretical Chemistry, Oxford University, South Parks Road, Oxford OX1 3QZ, United Kingdom
2Department of Physics, Indian Institute of Science, Bengaluru 560012, India
3International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bengaluru 560089, India
(Received 12 January 2023; revised 9 February 2023; accepted 8 March 2023; published 29 March 2023)
Within the broad theme of understanding the dynamics of disordered quantum many-body systems, one of
the simplest questions one can ask is, given an initial state, how does it evolve in time on the associated
Fock-space graph, in terms of the distribution of probabilities thereon? A detailed quantitative description of
the temporal evolution of out-of-equilibrium disordered quantum states and probability transport on the Fock
space is our central aim here. We investigate it in the context of a disordered quantum spin chain, which hosts a
disorder-driven many-body localization transition. Real-time dynamics/probability transport is shown to exhibit
a rich phenomenology, which is markedly different between the ergodic and many-body localized phases. The
dynamics is, for example, found to be strongly inhomogeneous at intermediate times in both phases, but while
it gives way to homogeneity at long times in the ergodic phase, the dynamics remain inhomogeneous and
multifractal in nature for arbitrarily long times in the localized phase. Similarly, we show that an appropriately
defined dynamical lengthscale on the Fock-space graph is directly related to the local spin autocorrelation, and
as such sheds light on the (anomalous) decay of the autocorrelation in the ergodic phase, and lack of it in the
localized phase.
DOI: 10.1103/PhysRevB.107.094206
I. INTRODUCTION
The out-of-equilibrium dynamics of isolated quantum
many-body systems can show a rich range of behavior in the
presence of disorder. One of the most striking examples is
the driving of such a system from the default ergodic phase
into a many-body localized (MBL) phase at sufficiently strong
disorder [1–8], via a dynamical phase transition [9,10]. In
contrast to the ergodic phase, the system in the MBL phase
fails to thermalize under its own dynamics, and memory of
the initial state survives locally for arbitrarily long times.
Standard signatures of these include the absence of transport
of conserved quantities, and autocorrelations of local observ-
ables saturating to finite values at long times [4,11,12], rather
than vanishing. As such behavior falls outside the paradigm
of conventional statistical mechanics, the dynamics in the
MBL phase is naturally of fundamental interest. At the same
time, even within the ergodic phase but at disorder strengths
preceding the MBL transition, the dynamics is anomalously
slow. This is commonly manifest in subdiffusive transport
of conserved quantities, and autocorrelations of local observ-
ables decaying in time with anomalous power-law exponents
*isabel.creed@chem.ox.ac.uk
†david.logan@chem.ox.ac.uk
‡sthitadhi.roy@icts.res.in
Published by the American Physical Society under the terms of the
Creative Commons Attribution 4.0 International license. Further
distribution of this work must maintain attribution to the author(s)
and the published article’s title, journal citation, and DOI.
[13–18]. This behavior attests to the fact that the out-of-
equilibrium dynamics of disordered quantum systems across
a range of disorder strengths straddling the MBL transition is
an interesting question.
From a phenomenological point of view, there has been
substantial progress in understanding the dynamics, both in
the MBL phase as well as in the anomalous ergodic regime.
The absence of transport in the MBL phase can be ex-
plained via the presence of an extensive number of emergent
local integrals of motion (or equivalently, local conserved
charges), such that an effective model for the MBL phase
involves interactions only between these entities [19–21].
More recently, resonances between configurations of these
charges have been shown to further explain several features
of the MBL phase [22–27]. In the anomalous ergodic regime,
progress in understanding the slow dynamics has centered on
phenomenological theories based on rare Griffiths regions, as
well as anomalous spectral properties of local observables
[13,16,18]. It is nevertheless desirable to have a theoretical
framework, rooted in microscopics, for understanding both
the slow dynamics preceding the MBL phase and the arrested
dynamics in the MBL phase. Mapping the dynamics of the
many-body system to that of probabilities on its Fock-space
graph provides such a framework.
Indeed, understanding the physics of many-body localiza-
tion from the perspective of the associated Fock space (FS)
has emerged as a fruitful approach over the last few years
[1,28–52]. This approach involves recasting the Hamiltonian
of a disordered, interacting quantum system as a tight-binding
Hamiltonian on the complex, correlated FS graph of the
system [53]. The problem then becomes one of Anderson
localization (AL) of a fictitious particle on the FS graph, albeit
2469-9950/2023/107(9)/094206(19)
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Published by the American Physical Society
CREED, LOGAN, AND ROY
PHYSICAL REVIEW B 107, 094206 (2023)
a distinctly unconventional AL problem due to the strong
correlations in effective disorder on the FS graph [43]. This
mapping opens a new window into the connections between
the anatomy of the eigenstates on the FS graph, and their
manifestations in terms of real-space properties. For instance,
the spread of the eigenstates on the FS graph, and an asso-
ciated emergent correlation length, has been shown to carry
information about eigenstate expectation values of local ob-
servables [49] as well as that of the l-bit localization length
[46]. Higher-point correlations of eigenstate amplitudes en-
code their entanglement structure [51]. However, most of
these studies have focused on eigenstate properties, and much
less so in the context of dynamical, time-dependent properties.
Motivated by this, we investigate here the dynamics of
an out-of-equilibrium quantum state on the FS graph. Ar-
guably, the most fundamental question one can ask in this
regard is, given an initial out-of-equilibrium state, how do
the probability densities of the state on the FS graph evolve
in time and spread out on the graph? As will be shown, a
detailed characterization of this probability transport carries a
plethora of information providing insights into the dynamics
of disordered quantum many-body systems. This is the central
goal of the work. We begin with a brief overview of the paper.
Overview
As a concrete setting for our analysis, we consider a
quantum Ising chain with disordered longitudinal fields and
interactions, together with a constant transverse field (of
strength (cid:2)). A description of the model and its associated FS
graph is given in Sec. II. Classical spin configurations form
a convenient set of basis states; they also form the nodes (or
“sites”) of the FS graph, with the transverse field generating
links between them. The Hamming distance [54] between
two classical spin configurations endows the FS graph with a
natural measure of distance. Initialising the state in a classical
spin configuration corresponds to initializing it on a site on the
FS graph. Consequently, the FS graph can be organized such
that the given initial state sits at the apex and all sites at a fixed
Hamming distance from the initial site are arranged row-wise
(see Fig. 1).
Although the FS graph for a chain of length L is an L-
dimensional hypercube, the above organization of the graph
gives rise to two natural “axes” along which the probability
transport can be defined; we refer to them as longitudinal
and lateral probability transport. The former quantifies how
the probability flows down sites which are at increasing dis-
tances from the initial FS site. Lateral probability transport on
the other hand measures how the probability spreads across
sites at the same Hamming distance from the initial site,
i.e., on a given row. Section III formalizes these two no-
tions of FS probability transport. We show in particular that
a time-dependent lengthscale r(t ), which characterizes the
longitudinal spread of the wavefunction, is directly related to
the real-space spin autocorrelation function. We also quantify
the extent to which the time-evolving state is (de)localized on
the graph, via t-dependent inverse participation ratios (IPR)
and their corresponding fractal exponents. These IPRs can be
defined over the entire FS graph, or can be defined row-wise
(which corresponds to the lateral transport).
FIG. 1. Fock-space (FS) graph of the disordered TFI model
Eq. (1) in the basis of σ z-product states, illustrated for L = 8. An
arbitrary FS site I is placed at the apex. The graph has L + 1 rows,
and the number of FS sites on row r is Nr =
. Any FS site J on
row r is a Hamming distance rIJ = r from I. Links/hoppings can
connect only FS sites on adjacent rows; with each FS site connected
to precisely L others.
(cid:2)
L
r
(cid:3)
In Sec. IV we analyze the short-time dynamics, which is
independent of whether the ultimate late-time behavior of
the system is ergodic or MBL in character. For (cid:2)t (cid:2) 1, the
probability of finding the system in a given FS site/state at
distance r is shown to scale as ∼((cid:2)t )2r. An essential outcome
of this is an emergent multifractality of the wavefunction over
the full FS, with a fractal exponent growing ∝ t 2, independent
of disorder strength. By contrast, the row-resolved IPRs on
these timescales do not show fractal statistics, indicating that
the short-time wavefunction is spread homogeneously across
any given row of the FS graph. A further, rather striking
consequence of the analysis, is that r(t ) becomes extensive
in system size L at any finite O(1) time. This is mandated by
the spin autocorrelation being strictly <1 at any finite O(1)
time, and can be understood via the extensive connectivity of
the FS graph.
Section V is devoted to consideration of longitudinal prob-
ability transport, notably for long times. A central result here
is that, in the ergodic regime, the lengthscale r(t ) grows sub-
diffusively, ∼t α with α < 1/2, until it reaches its maximal
value of L/2 (modulo the role of mobility edges and finite-size
effects, as explained later). This is shown to imply that the
spin autocorrelation also decays as a power law with the same
exponent. In the MBL regime by contrast, r(t ) saturates to an
extensive but submaximal value, which in turn implies that the
spin autocorrelation remains nonzero at arbitrarily long times.
A further implication of these results is that the emergent
fractality present at short to intermediate times gives way to
fully delocalized states at long times in the ergodic regime,
whereas the fractality persists for arbitrarily long times in the
MBL regime.
In Sec. VI we turn to the analysis of lateral probability
transport, via row-resolved IPRs. The picture that emerges is
that, following the short-time homogeneity, at intermediate
times—and for any disorder strength—the time-dependent
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PHYSICAL REVIEW B 107, 094206 (2023)
probabilities on any row develop strong inhomogeneities, re-
flected in (multi)fractal scalings of the row-resolved IPRs. For
sufficiently long times, however, this fractality gives way to
complete homogeneity in the ergodic regime, while it persists
in the MBL regime. Since the lateral transport in essence cap-
tures inhomogeneity in the evolution of probabilities on the
FS graph, it is also natural to study t-dependent distributions
of probabilities over sites on a given row. Consistent with the
above picture, we find that the inhomogeneities are accom-
panied by heavy-tailed Lévy distributions, whereas temporal
regimes in which probability spreads homogeneously are
characterized by narrow distributions.
We summarize our results in Sec. VII (see Fig. 16 for a
visual summary), and close with concluding remarks and a
future outlook.
II. MODEL AND FOCK-SPACE GRAPH
We consider a disordered transverse-field Ising (TFI) spin-
1/2 chain, specified by the Hamiltonian
H =
L−1(cid:4)
(cid:5)=1
J(cid:5) ˆσ z
(cid:5) ˆσ z
(cid:5)+1
(cid:5)
h(cid:5) ˆσ z
(cid:5) + (cid:2) ˆσ x
(cid:5)
(cid:6)
,
(1)
+
L(cid:4)
(cid:5)=1
where h(cid:5) and J(cid:5) are i.i.d. random variables, uniformly dis-
tributed with h(cid:5) ∈ [−W, W ] and J(cid:5) ∈ [J − δJ , J + δJ ].
For numerical studies, we consider J = 1, δJ = 0.2, and
(cid:2) = 1. With these parameters, and the range of system sizes
accessible in practice to exact diagonalization (ED), the crit-
ical disorder strength above which all eigenstates are MBL
is estimated to be Wc (cid:6) 3.8 [55]. Some recent papers on
standard disordered models [23,27,56–62] have, however,
suggested that a genuine MBL phase, stable in the thermody-
namic limit L → ∞, can arise only for much larger values of
W , and that the apparent localization found for finite systems
at W > Wc is indicative of a prethermal regime. Here we take
the view that the MBL phenomenology clearly observed at
W > Wc ∼ 4 for ED-accessible system sizes persists in the
thermodynamic limit, albeit for larger W values.
Fock space (FS) provides a natural framework for studying
many-body localization [28–52], in part because a generic
many-body Hamiltonian maps exactly onto a tight-binding
model on the associated FS graph (or “lattice”), of form
H =
(cid:4)
J
E
J
|J(cid:9)(cid:10)J| +
(cid:4)
(cid:11)
J,K
TJK
|J(cid:9)(cid:10)K|
(2)
(where (cid:11) means K (cid:12)= J). The FS graph of the TFI model in the
basis of σ z-product states is an L-dimensional hypercube with
NH = 2L vertices, or FS sites, as illustrated in Fig. 1. A FS
site J represents a many-body quantum state |J(cid:9) of L spins,
which is an eigenstate of each ˆσ z
(cid:5) |J(cid:9) = S(cid:5),J |J(cid:9)
(cid:5) operator, ˆσ z
where S(cid:5),J = ±1. It is thus an eigenstate of H0 =
(cid:5) +
(cid:5)[h(cid:5) ˆσ z
J(cid:5) ˆσ z
(cid:5)+1], i.e., H0|J(cid:9) = EJ |J(cid:9), with EJ the corresponding site
energy for the FS site (with the {EJ } maximally correlated
[43], and not i.i.d.). Links, or hoppings, on the FS graph are
generated by the term H1 = H − H0 = (cid:2)
(cid:5) . Each FS
site is thus connected to precisely L others, lying solely on
adjacent rows of the graph, and each of which corresponds to
flipping a spin on a particular real-space site. This generates
(cid:5) ˆσ x
(cid:5) ˆσ z
(cid:7)
(cid:7)
the hopping contribution to Eq. (2), in which all nonvanishing
hopping matrix elements are simply TJK = (cid:2).
As illustrated in Fig. 1 the graph consists of L + 1 rows,
r = 0 − L. A single FS site, denoted by I in Fig. 1 (and
with arbitrary spin orientations for the real-space sites) lies
at the apex of the graph, r = 0. The number of FS sites on
(cid:3)
(cid:2)
L
; with the final site, r = L,
row r of the graph is Nr :=
r
corresponding to the state |I(cid:9) in which all real-space spins
on |I(cid:9) have been flipped. As a measure of distance between
two sites on the FS graph we use the Hamming distance, as
mentioned in Sec. I. For any pair of FS sites J, I separated by
a Hamming distance rIJ = r, then by definition r real-space
sites (cid:5) have S(cid:5),J = −S(cid:5),I while L − r sites have S(cid:5),J = +S(cid:5),I .
Hence
L−1
(cid:4)
(cid:5)
S(cid:5),I S(cid:5),J
= 1 − 2
.
rIJ
L
(3)
This connection between Hamming distance on the FS graph
and the spin orientations will prove important in Sec. III A
in relating the real-space spin autocorrelation function (or
imbalance) to the first moment of the FS probabilities.
III. DIAGNOSING PROBABILITY TRANSPORT
The basic underlying quantities considered are the proba-
bilities PIJ (t ) = |GIJ (t )|2 (cid:2) 0, given by
PIJ (t ) = |(cid:10)J|(cid:7)(t )(cid:9)|2 = |(cid:10)J|e−iHt |I(cid:9)|2
(4)
with |(cid:7)(t )(cid:9) the t-dependent wavefunction. We add here that,
unless stated otherwise, time is shown in units of (cid:2)−1 in
all figures (i.e., (cid:2) ≡ 1). Physically, PIJ (t ) gives the proba-
bility that the system will be found on FS site J at time t,
given its initiation on site I (and with PII (t ) the commonly
studied return probability). As reflected in PIJ (t = 0) = δIJ ,
the initial state |I(cid:9) is site-localized on the FS graph, and as
such wholly Anderson-localized thereon. On increasing t, the
distribution of probabilities spreads in some fashion through
the FS graph/lattice. Understanding at least some aspects of
this many-sided process, both temporally and as a function of
disorder strength, is the aim of this paper.
In the following H is presumed real symmetric, as relevant
to the TFI model considered explicitly, such that PIJ (t ) =
PJI (t ) = PIJ (−t ). Expressed in terms of eigenstate amplitudes
AnI = (cid:10)I|n(cid:9), with eigenstates |n(cid:9) and corresponding eigenval-
ues En, note for later use that
e−i(En
PIJ (t ) =
−Em )t AnI AnJ AmI AmJ
(cid:4)
(5)
.
n,m
(cid:7)
Probability is of course conserved, viz.,
J PIJ (t ) = 1 for
all t and any initial FS site I. For any given I, PIJ (t ) can
thus be regarded as the time-dependent distribution, over all
FS sites J, of the conserved “mass” MI =
J PIJ (t ) = 1. A
natural way to quantify such a distribution is via its moments.
To this end, first define
(cid:7)
PI (r; t ) =
(cid:4)
PIJ (t ),
(cid:4)
J:rIJ =r
I
P(r; t ) = N −1
H
PI (r; t ),
(6)
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PHYSICAL REVIEW B 107, 094206 (2023)
(cid:3)
(cid:2)
L
r
with the J sum over all Nr =
FS sites on a given row
r of the graph, for which the Hamming distance rIJ = r (I
lying at the apex of the graph, see Fig. 1). PI (r; t ) gives the
r=0 PI (r; t ) = 1 ∀t, I]; its
total probability on row r [with
sample average over initial FS sites I is denoted P(r; t ). An
average over disorder realizations will be denoted, according
to convenience, either by an overbar [e.g., PI (r; t )], or by
angle brackets ((cid:10)· · · (cid:9)d). The r and t dependence of P(r; t ) in
particular will be considered explicitly in Sec. V.
(cid:7)
L
Moments of the {PIJ (t )} follow directly, e.g., the first mo-
ment
rI (t ) =
(cid:4)
J
L(cid:4)
rIJ PIJ (t ) =
rPI (r; t ) ,
(7)
r=0
(cid:7)
and its sample average r(t ) = N −1
H
consider the disorder-averaged moments
I rI (t ). In Sec. V we will
r(t ) =
δr2(t ) =
L(cid:4)
r=0
L(cid:4)
r=0
rP(r; t ),
(8a)
r2P(r; t ) −
(cid:9)2
rP(r; t )
,
(8b)
(cid:8)
L(cid:4)
r=0
in particular the former. As now shown, for any disorder
realization, rI (t ) and r(t ) are in fact directly related to the real-
space spin autocorrelation function; providing thereby a direct
connection between real-space and Fock-space perspectives.
A. Longitudinal transport and spin autocorrelator
Consider C(t ) defined by
L(cid:4)
C(t ) = 1
L
(cid:5)=1
C(cid:5)(cid:5)(t ),
C(cid:5)(cid:5)(t ) = 1
NH
(cid:2)
(cid:5) (t ) ˆσ z
ˆσ z
(cid:5)
(cid:3)
,
Tr
(9)
(cid:7)
with C(cid:5)(cid:5)(t ) the local real-space spin autocorrelator. The
trace Tr can equivalently be either over FS sites, C(cid:5)(cid:5)(t ) =
N −1
(cid:5)(cid:5)(t ) with C [I]
(cid:5) |I(cid:9), or over eigen-
(cid:5)(cid:5)(t ) = (cid:10)I| ˆσ z
C [I]
(cid:7)
H
states, C(cid:5)(cid:5)(t ) = N −1
C [n]
(cid:5)(cid:5)(t ). A simple calculation then
H
relates C [I]
n
(cid:5)(cid:5)(t ) to the probabilities {PIJ (t )},
(cid:5) (t ) ˆσ z
I
C[I]
(cid:5)(cid:5) (t ) = S(cid:5),I
S(cid:5),J PIJ (t ),
(10)
J
(cid:5) |I(cid:9) (= ±1). Using Eq. (3), together with
where S(cid:5),I = (cid:10)I| ˆσ z
conservation of probability, it follows directly that
C[I](t ) := L−1
(cid:4)
C[I]
(cid:5)(cid:5) (t )
(cid:4)
is given by
(cid:4)
C[I](t ) = 1 − 2
L
J
(cid:4)
⇒ C(t ) = N −1
H
(cid:5)
rIJ PIJ (t ) = 1 − 2
L
rI (t )
C[I](t ) = 1 − 2
L
I
r(t ).
(11)
Equation (11) relates directly the real-space spin autocor-
relation function to the first moment of the FS probabilities
{PIJ (t )} (and is not confined to the TFI model, holding equally
for XXZ or spinless fermion models). It is also interesting to
note that experiments where MBL has been observed [63,64]
essentially measure C[I]
(cid:5)(cid:5) (t ) by employing a similar protocol–
initializing the system in a specific σ z configuration |I(cid:9), and
measuring the expectation value (cid:10) ˆσ z
(cid:5) (t )|I(cid:9) such
that C[I]
(cid:5) (t )(cid:9) ≡ (cid:10)I| ˆσ z
(cid:5)(cid:5) (t ) = (cid:10) ˆσ z
(cid:5) (t )(cid:9) S(cid:5),I .
A striking feature of the dynamics is that, on timescales for
which C[I](t ) departs by merely a nonvanishing amount from
its t = 0 value of 1, the first moment rI (t ) ∝ L is extensive
in system size. Intuitively, one expects such timescales to be
determined by the hopping energy scale (cid:2), which acts to de-
phase the initially synchronized spins, and as such to be on the
order (cid:2)t ∼ O(1). The resultant extensivity of rI (t ) means that
an excitation, initially Anderson-localized on the single FS
site I, spreads significantly throughout the Fock space on the
shortest timescales of order (cid:2)t ∼ O(1)—and would appear to
do so regardless of whether the system is ultimately ergodic
or MBL. Understanding how this behavior arises, the essential
characteristics of the Fock-space graph which it reflects, and
the physical picture it gives rise to, is conceptually significant
and considered in Sec. IV (see also Sec. V).
|(cid:10)n| ˆσ z
One can also bound r(t ). Since rIJ (cid:3) L, it follows triv-
J PIJ (t ) = 1 ∀t] that r(t )/L (cid:3) 1
ially from Eq. (11) [using
for all t. More useful is a bound in the t → ∞ limit. Re-
solving C(cid:5)(cid:5)(t ) as an eigenstate trace, its infinite-time limit
C(cid:5)(cid:5)(∞) = N −1
(cid:5) |n(cid:9)|2, so C(cid:5)(cid:5)(∞) and thus C(∞) can-
H
not be negative; whence [Eq. (11)] r(∞) (cid:3) L/2 necessarily.
Sufficiently deep in an ergodic phase, with essentially all
many-body eigenstates delocalized and no remnant memory
of initial conditions, one expects C(cid:5)(cid:5)(∞) to vanish. Hence
r(∞) = L/2—the midpoint of the FS graph—is characteristic
of such “complete” ergodicity. In an MBL phase by contrast,
persistent memory of initial conditions means C(cid:5)(cid:5)(∞) > 0. In
that case, the long-time limit of r(t ) is perforce less than L/2.
(cid:7)
(cid:7)
n
B. Lateral transport
For any disorder realization, PI (r; t ) gives [Eq. (6)] the
total probability on row r of the graph/lattice. Study of its
(r, t )-dependence thus reveals how probability flows in time
“down” the FS graph, row by row. It does not, however, give
information on the important issue of how the distribution of
probabilities spreads out laterally, and in general inhomoge-
neously, across the rows of the graph.
One such measure of the latter, studied numerically in
Sec. VI, is provided by RI (r; t ) (cid:2) 1 defined by
RI (r; t ) =
(cid:2)
1
Nr
1
Nr
J:rIJ =r P2
IJ (t )
(cid:3)
2
J:rIJ =r PIJ (t )
(cid:7)
(cid:7)
.
(12)
For any given disorder realization, this is simply the ratio of
the mean squared probability per FS site on row r, to the
square of the corresponding mean probability, [N −1
r PI (r; t )]2.
So it provides an obvious measure of fluctuations in the dis-
tribution of PIJ ’s along a given row. In particular, RI (r; t ) = 1
in a limit of extreme homogeneity where all PIJ (t )’s on the
row are the same. The latter behavior will in fact be shown
in Sec. IV to arise at sufficiently short times, independently
of disorder strength W ; before evolving in t to a distribution
which is W dependent, and strongly inhomogeneous in the
MBL regime (Sec. VI).
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The average of RI (r; t ) over disorder realizations and FS
sites I will be denoted for brevity by (cid:10)R(cid:9) ≡ (cid:10)R(cid:9)(r; t ),
(cid:4)
(cid:10)R(cid:9) = N −1
H
(cid:10)RI (r; t )(cid:9)
d
(13)
I
with (cid:10)· · · (cid:9)d the disorder average. More generally, we also
study in Sec. VI A the full probability distribution of RI (r; t ),
given by
(cid:4)
PR (x) = N −1
H
(cid:10)δ(x − RI (r; t ))(cid:9)
d
(14)
I
(cid:10)
dx xPR(x) = (cid:10)R(cid:9)). In the MBL
(of which the first moment is
regime in particular, PR(x) at sufficiently long times will be
shown to be characterized by a heavy-tailed Lévy alpha-stable
distribution.
(cid:7)
The quantity RI (r; t ) is directly related to another nat-
ural measure of fluctuations in the distribution of PIJ (t )’s
along a given FS row: the row-resolved, t-dependent in-
verse participation ratio (IPR). To motivate this, consider
the t-dependent wavefunction following the initial quench,
|(cid:7)(t )(cid:9) = e−iHt |I(cid:9), expanded as |(cid:7)(t )(cid:9) =
A(I )
J (t )|J(cid:9); such
that, from Eq. (4), the squared amplitudes |A(I )
J (t )|2 = PIJ (t )
are just the probabilities of interest. Time-dependent wave-
function densities, normalized on any given row r, are
then given by |B(I )
J (t )|2 = |A(I )
J (t )|2/
(cid:7)
J:r
J:r
J:rIJ =r); for which the associated generalized
shorthand for
(cid:7)
IPR is II,q =
J (t )|2q. Hence, for the standard case of
J:r
q = 2 on which we focus explicitly, the IPR is related simply
(cid:2)
L
to RI (r; t ) [Eq. (12)] via Nr =
r
J (t )|2 (with
|A(I )
|B(I )
(cid:3)
,
(cid:7)
(cid:7)
J
(cid:7)
I
I,2(r; t ) =
(cid:2) (cid:7)
⇒ (cid:10)I
(cid:9) = N −1
H
2
J:rIJ =r P2
IJ (t )
(cid:3)
2
J:rIJ =r PIJ (t )
(cid:4)
(cid:10)I
I,2(r; t )(cid:9)
d
= N −1
r RI (r; t )
= N −1
r
(cid:10)R(cid:9)
(15)
I
[with the corresponding probability distribution of II,2 follow-
ing trivially from that for RI (r; t ), Eq. (14)].
r
(cid:7)
|2 ∼ N −1
. Hence (cid:10)I2(cid:9) ∼ N −1
We can then reason physically as follows, consider-
ing some particular time t. If the amplitudes |B(I )
J (t )|2 =
PIJ (t )/
J:r PIJ (t )—and hence the probabilities PIJ (t )—are
essentially uniformly distributed over the Nr FS sites on row r,
and in turn (cid:10)R(cid:9) ∼
then each |B(I )
J
O(1) should be of order unity (and as such L independent).
If by contrast the wavefunction is strongly inhomogeneously
distributed on the row, one might anticipate (cid:10)I2(cid:9) ∼ N −ν
r with
a fractal exponent ν ≡ ν(t ) < 1; and hence from Eq. (15)
that (cid:10)R(cid:9) ∼ N 1−ν
r —which thus grows with increasing system
size L. These two behaviors will indeed be shown to arise in
Sec. VI, the former characteristic at long time of the ergodic
regime, and the latter characteristic of the MBL regime at
larger disorder strengths.
r
Finally, as a complement to PR(x) [Eq. (14)], we also study
in Sec. VI A the probability distribution
Prel(x) = 1
NH
(cid:4)
I
1
Nr
(cid:4)
J:rIJ =r
(cid:11)
(cid:8)
δ
x −
(cid:7)
PIJ (t )
J:rIJ =r PIJ (t )
1
Nr
(cid:9)(cid:12)
.
d
(16)
For any given row r on the graph, this gives the distri-
bution of PIJ (t ) relative to its mean value on the row,
x = PIJ (t )/[N −1
r PI (r; t )]; its second moment being precisely
(cid:10)
dx x2Prel(x) = (cid:10)R(cid:9), see Eqs. (13) and (12) (and its first mo-
ment is 1 by construction).
IV. SHORT-TIME BEHAVIOR
We turn now to the short-time behavior of probability
transport for the disordered TFI model. While the underlying
calculations are simple, the physical picture arising is rather
rich; including the emergence at short times of multifractality
in the t-dependent wavefunction |(cid:7)(t )(cid:9) = e−iHt |I(cid:9)—for any
disorder strength W , and as such independent of whether the
ultimate long-time behavior of the system is ergodic or MBL
in nature.
Consider PIJ (t ) = |GIJ (t )|2, where [Eq. (4)]
GIJ (t ) = (cid:10)J|e−iHt |I(cid:9) =
∞(cid:4)
n=0
(−i)n
n!
t n(cid:10)J|Hn|I(cid:9),
(17)
K
[Eq.
and
(cid:7)
separate H ≡ H0 + H1
(2)], with H0 =
EK |K(cid:9)(cid:10)K| and H1 the hopping term. With Km denoting
any FS site on row m, H|Km(cid:9) connects solely to FS sites in
rows m ± 1 (and m), since nonzero hopping matrix elements
((cid:2)) connect only FS sites on adjacent rows of the graph. Now
let J in Eq. (18) be some given FS site on row r, call it Jr.
Obviously, (cid:10)Jr|Hn|I(cid:9) vanishes identically for all n < r. Hence
GIJr
(t ) = (−i)r
r!
t r(cid:10)Jr
|(H1)r|I(cid:9) + O(t r+1).
(18)
The leading term here will clearly dominate GIJr (t ) for suf-
ficiently small t. Importantly, it involves solely FS hoppings,
consisting of “forward paths” from I to Jr, each containing
precisely r hops (i.e., r factors of (cid:2)). For any given FS site
Jr there are however r! identical contributions to (cid:10)Jr|(H1)n|I(cid:9),
because there are r! distinct forward paths from I to Jr on the
FS graph; and each such contribution has a value of (cid:2)r. This
cancels the 1/r! factor in Eq. (18), from which the leading
(t ) ∼ (−i)r ((cid:2)t )r, and that of PIJr (t )
small-t behavior is GIJr
thus
PIJr
(t ) ∼ ((cid:2)t )2r.
(19)
Note the following points about
behavior:
this leading short-time
(i) It holds for any r, and for all FS sites on row r. By
virtue of the latter, the distribution of probabilities along any
given row is fully homogeneous in the time window over
which Eq. (19) holds. In consequence, RI (r; t ) = 1 [Eq. (12)],
the distribution PR(x) = δ(x − 1) [Eq. (14)] is δ distributed,
and the row-resolved IPR I2(r; t ) = N −1
[Eq. (15)]. By it-
self the above calculation does not of course prescribe the
timescale over which such behavior occurs, but we ascertain
it below. (ii) Relatedly, since solely the disorder-independent
hoppings (cid:2) generate Eq. (19), the result is independent of
disorder strength W . (iii) Although PIJr (t ) ∼ ((cid:2)t )2r decreases
exponentially rapidly with r, the number Nr =
of FS sites
on row r grows exponentially with r. Hence, even for short
times, one cannot neglect the contribution of sites on any row
r to, e.g., the first moment of the probability distribution,
(cid:2)
L
r
(cid:3)
r
094206-5
CREED, LOGAN, AND ROY
PHYSICAL REVIEW B 107, 094206 (2023)
are thus embodied in δr2(t )/L2, direct evaluation of which
using Eq. (20) gives δr2(t )/L2 = ((cid:2)t )2[1 − ((cid:2)t )2]/L. Since
this is ∝1/L, such fluctuations vanish in the thermodynamic
limit, with r(t )/L distributed as a Dirac-delta function at its
mean.
Finally, although by itself a somewhat limited diagnostic of
probability transport on Fock space, we comment parentheti-
cally on the commonly studied [14,65,66] return probability,
PII (t ). This corresponds to r = 0 in Eq. (20), which for (cid:2)t (cid:2)
1 recovers the known behavior [66] PII (t ) ∼ exp(−L((cid:2)t )2),
whereby for any nonzero (cid:2)t, even if small, the return proba-
bility is exponentially suppressed in system size L.
FIG. 2. ED results with L = 13 for ¯r(t )/L vs t ((cid:2) ≡ 1), shown
over the indicated range of disorder strengths W . For times t (cid:2) 0.1,
the W -independent behavior of Eq. (21) (dashed line) is seen to arise.
Inset: Same results, on smaller t scale.
(cid:7)
(cid:7)
L
r=0
J rIJ PIJ (t ) ≡
(cid:3)
(cid:2)
L
rI (t ) =
rPIJr (t ), as considered be-
r
low. (iv) The calculation above naturally reflects the intrinsic
structure of the FS graph (Fig. 1) for the disordered TFI
model. We simply remark that
the result arising would
be quite different if one considered a tree graph (Cayley
tree/Bethe lattice); for while in that case Eq. (18) holds for
any given site Jr on generation r of the tree, there is just a
single path connecting the root site I to the given Jr.
As it stands, direct use of Eq. (19) for each r fails to
conserve total probability. This, however, is readily taken
into account by writing PIJr (t ) = g(r; t )((cid:2)t )2r where, for
all r, g(r; t ) must satisfy (a) g(r; t = 0) = 1, such that the
leading low-t behavior of PIJr (t ) is Eq. (19); (b) g(r; t ) >
0 for all times for which the calculation is valid; and (c)
J PIJ (t ) = 1, i.e.,
overall probability must be conserved,
(cid:3)
(cid:7)
g(r; t )((cid:2)t )2r = 1 ∀t. This has the solution g(r; t ) =
[1 − ((cid:2)t )2](L−r). And g(r; t ) > 0 ∀r is satisfied provided (cid:2)t <
1, which upper bounds the time-window over which the cal-
culation holds.
(cid:2)
L
r
L
r=0
(cid:7)
The essential result for the short-t behavior of PIJr (t ) is
then
(t ) = ((cid:2)t )2r[1 − ((cid:2)t )2](L−r).
(20)
P
IJr
As this is independent of both the initial FS site I and disorder
strength W , the resultant first moments [Eqs. (7) and (8a)]
rI (t ) ≡ r(t ) ≡ r(t ) coincide, and follow from Eq. (20) as
(cid:13)
(cid:14)
rI (t ) ≡ r(t ) =
r P
IJr
(t ) = L((cid:2)t )2.
(21)
L(cid:4)
r=0
L
r
That the short-time behavior is indeed W independent is cor-
roborated in Fig. 2, which shows ED results for r(t )/L vs
(cid:2)t, over a range of disorder strengths W . In all cases, the
asymptotic behavior Eq. (21) indeed arises at short times—in
practice for (cid:2)t (cid:2) 0.1 or so, consistent with the bound above.
The fact that r(t ) ∝ L is extensive for finite (cid:2)t means of
course that it is r(t )/L, which remains finite in the thermody-
namic limit L → ∞. The relevant fluctuations in this quantity
Emergent multifractality
As shown above, for (cid:2)t small compared to unity but fi-
nite, the probability density has spread through Fock space to
macroscopically large Hamming distances on the order of L.
The probabilities PIJr (t ) are uniform on any given row of the
FS graph [Eq. (20)], symptomatic of which the row-resolved
IPR [Eq. (15)] is II,2(r; t ) = N −1
r
One can however also ask for the behavior of the con-
ventional IPR over the full Fock-space. For a wavefunction
|(cid:7)(t )(cid:9) =
J (t )|2 (=
PIJ (t )) normalized to unity over all FS sites J, the generalized
(q-dependent) IPR is defined by
J (t )|J(cid:9), with squared amplitudes |A(I )
A(I )
(cid:7)
.
J
L
I,q(t ) =
(cid:4)
(cid:15)
(cid:15)A(I )
J (t )
(cid:15)
(cid:15)2q =
(cid:4)
Pq
IJ (t ) ,
(22)
J
J
where only q > 1 is considered henceforth (trivially, for
all t, LI,0(t ) = NH and LI,1(t ) = 1). The L dependence of
L
I,q(t ) is embodied in the exponent τq ≡ τq(t ) defined by
−τq
LI,q(t ) ∼ N
H . If τq = 0 for any specified t, then the wave-
function |(cid:7)(t )(cid:9) is Anderson localized on O(1) FS sites of the
graph/lattice, while if τq = q − 1 it is essentially uniformly
spread over all FS sites on the graph, and as such ergodic.
But if by contrast 0 < τq < q − 1, then the wavefunction is
fractal; more specifically, if τq is a nonlinear function of q,
then it is multifractal.
To consider this in the present context, it is convenient to
rewrite Eq. (20) in the binomial form
(t ) = [z(t )]r[1 − z(t )](L−r)
P
IJr
(23)
with z(t ) = ((cid:2)t )2 for short times (cid:2)t (cid:2) 1. This in turn can be
expressed as
(t ) =
P
IJr
(cid:5)
1 + e−1/ξF (t )
(cid:6)−L
e−r/ξF (t ),
(24)
in terms of a correlation length ξF (t ) defined by ξ −1
F (t ) =
− 1). Since the short-time PIJr (t )’s are the same for
ln( 1
(cid:3)
(cid:3)
(cid:2)
z(t )
Pq
L
sites on row r of the graph, LI,q(t ) ≡
(t ).
all
IJr
r
Hence from Eq. (24)
(cid:2)
L
r
L
r=0
(cid:7)
τ
q (t ) = log2
(cid:16)
(1 + e−1/ξF (t ))q
(1 + e−q/ξF (t ))
(cid:17)
,
(25)
where e−1/ξF (t ) ∼ ((cid:2)t )2 for (cid:2)t (cid:2) 1. For t = 0 precisely, τq =
0. This is just as expected, reflecting the fact that |(cid:7)(t = 0)(cid:9) =
|I(cid:9) is Anderson localized on the FS graph.
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FIG. 3. t dependence of the IPR exponent τ2(t ) obtained from
ED calculations, with W = 1, 1.5, 2 exemplifying the ergodic phase
and W = 6, 7 the MBL regime. The data is obtained by fitting the
−τ2 (t )
instantaneous IPR, L2(t ) to c(t )N
over the range L = 8 − 13
H
for each t. Dashed line shows the low-t asymptotic behavior τ2(t ) ∼
2((cid:2)t )2/ ln 2 [from Eq. (25)]. Full discussion in text.
However, for any nonzero (cid:2)t (cid:2) 1, Eq. (25) is readily seen
to be nonlinear in q and to satisfy 0 < τq(t ) (cid:2) q − 1. The
wavefunction is thus multifractal. Moreover, this behavior
arises for any disorder strength W . Emergent multifractality
at short times is therefore common both to W ’s for which the
system is ergodic in the long-time limit, as well as for W ’s
for which it is MBL at long times. In the latter case, one
anticipates continued persistence of multifractality beyond
the short-time window. In the ergodic case by contrast, one
expects multifractality to dissipate with further increasing t,
as the distribution of probabilities homogenises over the entire
graph and the long-time limit of τq(t = ∞) = q − 1 arises
[67].
That the above behavior indeed arises is illustrated in
Fig. 3, which, for the standard case q = 2, shows ED results
for the t-dependent exponent τ2(t ). We define the latter in
general via the averaged IPR,
(cid:4)
L2(t ) = N −1
H
LI,2(t ) ,
written as
I
L2(t ) = c(t )N
−τ2 (t )
H
.
(26)
(27)
Note that for short times (cid:2)t (cid:2) 1, this definition is the same
as that arising from Eq. (25), since PIJr (t ) in Eq. (24) is
independent of both disorder and the FS site I. For any chosen
t, a plot of ln L2(t ) vs ln NH ∝ L then gives −τ2(t ) from the
slope (c(t ) is assumed to be L independent); and very good
linear fits are indeed found for the data shown.
times (cid:2)t (cid:2) 0.1,
As seen in Fig. 3, for short
the W -
independent result from Eq. (25) is indeed recovered, viz.,
τ2(t ) ∼ 2((cid:2)t )2/ ln 2, and the wavefunction is multifractal for
all W . For W = 6, 7 illustrative of the MBL regime, τ2(t )
remains <1 on increasing t beyond the short-time regime and
multifractality persists at all times. But for W = 1, 1.5, 2 illus-
trating the ergodic regime, τ2(t ) grows with increasing t and
ultimately plateaus to a long-time value of τ2 = 1 (≡ q − 1),
indicating ergodic behavior.
FIG. 4. t-dependent Fock-space distribution P(r; t ), for W=1.5
(ergodic phase) in the left column, and for W = 7 (MBL) in the
right column. Top panels show P(r; t ) as a color map in the (r, t )
plane, with white denoting 0 and black denoting 1. Bottom panels
show P(r; t ) as a function of r/L for different time slices as indicated
in the legend. Data for L = 14, averaged over 2 − 3 × 103 disorder
realizations.
V. LONGITUDINAL PROBABILITY TRANSPORT
In this section we consider how, following a t = 0 quench
into some FS site, probability flows in time down the FS
graph, row by row.
To give an initial broad overview, Fig. 4 shows the r and t
dependence of the disorder-averaged total probability on row
r, P(r; t ) [Eq. (6)]; for W = 1.5 (left panels) as representative
of the ergodic phase, and for W = 7 (right panels) as typical
of the MBL regime. The top panels show P(r; t ) as a color
map in the (r, t )-plane, while the bottom panels show it as
function of r/L, for the (logarithmic) sequence of time slices
indicated. The qualitative features arising are clear. At short
times, (cid:2)t (cid:2) 0.1, P(r; t ) is the same for both W ’s, as expected
from the considerations of Sec. IV. The distributions begin to
spread out in an obvious sense for times (cid:2)t (cid:3) 0.5, and in prac-
tice reach their long-time steady state by (cid:2)t ∼ 101 − 102. For
the W = 1.5 example, the mode of the long-time P(r; t ) lies
at r/L = 1/2, the midpoint of the FS graph; and its r-profile is
Gaussian (with a width that decreases with increasing system
size, a point to which we return later). Similar behavior is
found for W = 7, but with the notable difference that in this
case the mode of the long-time P(r; t ) occurs at an r/L that is
markedly less than 1/2.
(cid:7)
Quite a bit of information is contained in plots such as
Fig. 4. To interrogate it, we turn now to the first moment of
L
the probability distribution, r(t ) =
r=0 rP(r; t ) [Eq. (8a)].
More specifically, we consider r(t )/L, since it is this quan-
tity which necessarily remains finite in the thermodynamic
limit L → ∞ (Secs. III and IV). We add here that in all
figures shown in the paper, disorder averages are taken over
a minimum of 103 realizations.
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CREED, LOGAN, AND ROY
PHYSICAL REVIEW B 107, 094206 (2023)
(cid:7)
n
with D(ω) = N −1
δ(ω − En) the (self-averaging) many-
H
body density of states. The behavior of ξF (ω) with disorder
strength W is known from a detailed scaling analysis [49].
For W ’s greater than the critical Wc(ω) for which states at the
chosen energy ω become MBL, ξF (ω) remains finite (includ-
ing W = Wc(ω)+). For W < Wc(ω) by contrast, ξF (ω) ∝ L
and thus diverges in the thermodynamic limit, as expected for
delocalized states.
The disorder strength denoted throughout as Wc is that
above which all states in the band are MBL [i.e., Wc ≡
Wc(ω = 0), as band center states are the last to localize].
For W < Wc, some states in the band will be delocalized,
and others MBL—the spectrum hosts mobility edges. For any
such W then, from the above, delocalized states contribute a
factor of 1/2 to the summand in Eq. (30) as L → ∞, while
MBL states contribute a factor strictly <1/2. It is therefore
only if all states in the band are delocalized—or in practice all
but a tiny fraction—that the long-time limit r(∞)/L will be
1/2. From Fig. 5, this indeed appears to be the case for W = 1.
On further increasing W , however, a non-negligible fraction
of MBL states must arise, resulting in r(∞)/L < 1/2. The
W = 2 case in Fig. 5 appears to provide an example of this
(at least up to the largest L considered here). And the trend
certainly becomes more pronounced with increasing W , e.g.,
for W = 3, r(∞)/L is (cid:2) 0.4 for the largest L studied.
Equation (30) shows that r(t = ∞)/L can be resolved as a
sum over contributions from all eigenstates in the band. This
in fact is true for any t. As elaborated in Appendix A, it arises
because PIJ (t ) can be eigenstate resolved in the form PIJ (t ) =
N −1
IJ (t ), with P(n)
IJ (t ) pertaining to a particular state n of
H
energy En, and given by
n P(n)
(cid:7)
N −1
H P(n)
IJ (t ) =
cos[(En
− Em)t]AnI AnJ AmI AmJ ;
(31)
(cid:4)
m
such that for times (cid:2)t (cid:16) 1, P(n)
IJ (t ) is controlled by states m
lying in a progressively narrowing window |En − Em| (cid:2) (cid:2) in
the vicinity of the chosen energy En. We remark in passing
that N −1
IJ (t ) can equally be expressed as an eigenstate ex-
pectation value of an operator, see Eq. (A2).
(cid:7)
Since r(t ) is linear in the {PIJ (t )}, it too can be eigenstate
H P(n)
resolved, r(t ) = N −1
H
n r (n)(t ), with
(cid:4)
r (n)(t ) = N −1
H
rIJ P
(n)
IJ (t ) .
(32)
I,J
In particular, from Eq. (30), r (n)(∞)/L = 1/[1 + e1/ξF,n ]. The
lower panels in Fig. 5 show the t dependence of r (n)(t )/L
for states n in the immediate vicinity of the band center,
with W = 1, 2. Since W < Wc here, one expects the long-
time limit of r (n)(t )/L for band center states to be 1/2, which
appears consistent with the data. For the W = 2 example, it
is also seen from Fig. 5 that the regime of slower dynamics
mentioned above, setting in above (cid:2)t ∼ 1, is evident in both
r(t )/L and r (n)(t )/L; suggesting that this behavior is associated
with delocalized states in the spectrum.
To examine further these slow dynamics at intermediate
times, we consider equivalently the t dependence of the spin
autocorrelation functions, C(t ) = 1 − 2r(t )/L [Eq. (11)] and
its eigenstate-resolved counterpart C [n]
(t ) = 1 − 2r (n)(t )/L.
The former is shown on a log-log scale in the left panel of
FIG. 5. For W = 1 and 2, upper panels show ED results for
¯r(t )/L vs t, for L = 8 − 14. Lower panels show corresponding
r (n)(t )/L for band center eigenstates n. Full discussion in text.
A. r(t ): Ergodic regime
For disorder strengths W = 1, 2, the upper panels in Fig. 5
show the t dependence of r(t )/L, over a time window com-
parable to or in excess of the associated Heisenberg times tH
[the inverse of the mean level spacing, tH is discussed briefly
in Appendix B and given for the model by Eq. (B1)]. For both
W ’s, r(t )/L for (cid:2)t (cid:2) 0.1 is given by the W- and L-independent
short-time result Eq. (21) (as shown in Fig. 2). For the W = 1
case, on further increasing t, r(t )/L rapidly increases towards
a value, which, for practical purposes, is ∼1/2 for (cid:2)t (cid:3) 10 or
so. For W = 2, the situation is rather different. In that case,
while r(t )/L again grows rapidly up to around (cid:2)t ∼ 1, the
“elbow” seen in Fig. 5 around this time is succeeded at longer,
intermediate times by a regime of slower dynamics, and the
long-time limit is discernibly <1/2 for the largest system size
studied.
To obtain some understanding here, it is first helpful to con-
nI A2
nJ ,
I,J rIJ PIJ (∞) can be expressed as
sider the infinite-t limit. From Eq. (5), PIJ (∞) =
from which r(∞) = N −1
H
n A2
(cid:7)
(cid:7)
(cid:4)
L(cid:4)
r(∞) = N −1
H
rF n(r)
(28a)
with F n(r) =
(cid:4)
n
r=0
nI A2
A2
nJ
.
I,J:rIJ =r
(28b)
F n(r) itself was studied in detail in [49], where it was
shown to be of form
F n(r) =
(cid:14)
(cid:13)
L
r
(1 + e−1/ξ
F,n )−Le−r/ξ
F,n ,
(29)
with ξF,n a FS correlation length for eigenstates n at the partic-
ular energy ω considered (while band center states ω = 0 were
considered explicitly in [49], there is nothing special about
this energy). Equations (28a) and (29) give
r(∞)
L
= N −1
H
(cid:4)
n
1
1 + e1/ξ
F,n
(cid:18)
=
dω D(ω)
1 + e1/ξ
F (ω)
(30)
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PHYSICAL REVIEW B 107, 094206 (2023)
FIG. 6. For W = 1.5, 2, and 2.5, with L = 14, ED results for
spin autocorrelation functions vs t, on a log-log scale. Left panel:
C(t ) = 1 − 2r(t )/L. Right panel: C [n]
(t ) = 1 − 2r (n)(t )/L for band
center eigenstates n. In either panel, for each W , dashed lines show
power-law fits to the intermediate-time behavior, with the power-law
exponents found to decrease with increasing W .
Fig. 6 for W = 1.5, 2, and 2.5, with L = 14. As seen from the
figure, C(t ) and hence r(t )/L exhibits an intermediate-time
power-law decay, C(t ) ∝ t −α with α < 1. With increasing W ,
the exponent α is found to decrease steadily and, subject to the
usual caveat of modest system sizes, appears to vanish in the
vicinity of W (cid:6) Wc ∼ 4. For eigenstates n in the vicinity of
the band center, which are themselves ergodic for W < Wc,
the corresponding behavior of C [n]
(t ) is shown in the right
panel of Fig. 6. It too shows an intermediate-time power-law
with an exponent α(cid:11), which, while larger
decay, C [n]
than the corresponding α at the same W , likewise decreases
steadily with increasing W and vanishes around Wc. The L-
dependence of C [n]
(t ) vs t for band center states is shown
in Fig. 7, from which the data is seen to scale progressively
further onto the power-law decay with increasing L.
(t ) ∝ t −α(cid:11)
Subdiffusive dynamics of the spin autocorrelation function,
in the ergodic phase for a wide range of disorder strength
preceding the MBL regime, has been extensively studied
in models with conserved total magnetization, such as the
disordered XXZ chain [13–18]. In the Ising spin chain (1)
considered here, total magnetization is not by contrast con-
served, so the appearance of subdiffusive dynamics warrants
explanation. Indeed, for a Floquet version of the Ising chain
(1), a previous numerical study raised the possibility that
the spin autocorrelation decays as a stretched exponential in
FIG. 7. For W = 1.5, 2,
(t ) =
1 − 2r (n)(t )/L vs t, for band center states n. Dashed lines show
power-law fits to the intermediate-time behavior, onto which the
data scales progressively with increasing L.
showing
2.5,
and
C [n]
FIG. 8. For W = 7, ED results for the spin autocorrelation func-
tion C(t ) = 1 − 2r(t )/L (left panel) and r(t )/L itself (right panel), vs
t ((cid:2) ≡ 1) and for the system sizes L indicated. Solid black line shows
for comparison the corresponding exact result for MBL0 Eqs. (36)
and (34); red line in the left panel gives the asymptotic behavior
Eq. (39).
(cid:5) + 1
time [68]. However, the key point here is that although total
magnetization is not conserved in our model, total energy
is (trivially, the Hamiltonian being time independent). As a
result, the autocorrelator of the local energy density shows
subdiffusive dynamics; (cid:10) ˆH(cid:5)(t ) ˆH(cid:5)(cid:9) ∼ t −α(cid:11)(cid:11)
(cid:5) +
(cid:2) ˆσ x
(cid:5)−1 ˆσ z
(cid:5) is
not, however, orthogonal to the local energy density operator,
Tr[ ˆσ z
(cid:5) ˆH(cid:5)] (cid:12)= 0. Therefore at intermediate to late times, the
spin autocorrelation picks up the (sub)diffusive tails emerging
from the autocorrrelator of the local energy density; explain-
ing physically the origin of the power-law decay of the spin
autocorrelator.
where ˆH(cid:5) ≡ h(cid:5) ˆσ z
(cid:5) ]. The spin operator ˆσ z
+ J(cid:5)−1 ˆσ z
2 [J(cid:5) ˆσ z
(cid:5) ˆσ z
(cid:5)+1
B. r(t ): MBL regime
To illustrate results in the MBL regime, Fig. 8 shows the
spin autocorrelation function C(t ), and r(t )/L itself, for dis-
order strength W = 7. The behavior seen is representative of
the MBL regime for W (cid:3) 4.5 or so, and qualitatively different
from that characteristic of the ergodic regime.
C(t ) = 1 − 2r(t )/L in Fig. 8 shows clear damped oscilla-
tory behavior. It plateaus to a nonzero long-time value (∼0.7,
well above zero), indicative of persistent memory of initial
conditions; and is barely L dependent over the range studied.
Equivalently, the long-time limit of r(t )/L is (cid:2) 1/2 (as seen
also in Fig. 4 for the mode of P(r; t ) at long times). This in
turn is consistent with Eq. (30) above, where, with all states
n MBL for W > Wc, all correlation lengths ξF,n are finite and
hence r(∞)/L < 1/2.
Two further points about Fig. 8 should be made at this
stage, each of which merits some understanding (Sec. V B 1
below). First, while the long-time behavior is seen to be
reached in practice by (cid:2)t ∼ 102, damped oscillations about
that limit set in at shorter times (cid:2)t ∼ O(1), above which
the envelope of the oscillation is in fact rather well fit by
a power-law decay ∝ t −β with β ≈ 1/2. Second, in paral-
lel to Sec. V A for the ergodic phase, in the MBL regime
one can equally consider the eigenstate-resolved C [n]
(t ) = 1 −
2r (n)(t )/L, e.g., for states n in the vicinity of the band center.
On doing that, one finds essentially no discernible difference
from the results for C(t ) shown in Fig. 8.
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PHYSICAL REVIEW B 107, 094206 (2023)
1. MBL0
To obtain an understanding of the above results, we con-
sider now what we refer to as MBL0 [49]. Sufficiently deep
in the MBL phase, the model (1) is perturbatively connected
to the noninteracting limit J(cid:5) = 0 (MBL0). Here, although
the system is “trivially” MBL—because H [Eq. (1)] is site-
separable in real-space and the system a set of noninteracting
spins—the behavior on the Fock space is known [49] to be
nontrivial, and the Fock-space H Eq. (2) remains fully con-
nected on the graph.
As outlined in Appendix C, for MBL0 the exact disorder-
averaged PIJ (t ) can be obtained, starting from the basic
definition PIJ (t ) = |GIJ (t )|2, Eq. (4). With J, I any pair of FS
sites separated by a Hamming distance rIJ = r, the result is
PIJ (t ) = [z0(t )]r[1 − z0(t )](L−r)
(33)
with z0(t ) given by
(cid:19)
z0(t ) =
=
(cid:2)2
h2 + (cid:2)2
(cid:18)
W
dh
W
0
(cid:20)
sin2(
h2 + (cid:2)2 t )
(cid:21)
d
(cid:2)2
h2 + (cid:2)2
sin2(
(cid:20)
h2 + (cid:2)2 t ).
(34)
Note that PIJ (t ) again has the binomial form Eq. (23), de-
duced on general grounds in Sec. IV for short times; and
Eq. (34) obviously recovers, as it ought, the known asymptotic
behavior z0(t ) = ((cid:2)t )2 as (cid:2)t → 0.
Equation (33) in fact depends solely on the Hamming
distance r and is otherwise independent of the particular FS
sites J, I (see Appendix C). Hence, from Eq. (6), PI (r; t ) is
independent of I, and P(r; t ) ≡ PI (r; t ) is thus
(cid:13)
L
r
(cid:14)
[z0(t )]r[1 − z0(t )](L−r).
P(r; t ) =
(35)
From this follows the first moment r(t ) [Eq. (8a)] and hence
C(t ),
r(t )
L
= z0(t ),
C(t ) = 1 − 2z0(t ),
(36)
each of which is L independent for all t. Figure 8 compares
this result for C(t ) and r(t )/L, to ED results for the interacting
case. The strong qualitative parallels between the two are self
evident.
MBL0 is fully determined by z0(t ) [Eq. (34)], which, via
the double-angle formula for sin2θ (and setting (cid:2) ≡ 1) is
z0(t ) = p − 1
2
K (t ),
p = tan−1(W )
2W
(37)
√
with K (t ) = (cid:10)(h2 + 1)−1cos(2
h2 + 1 t )(cid:9)d. K (t ) vanishes
as t → ∞ [see Eq. (38)]. The long-time limits are then
r(∞)/L = p and C(∞) = 1 − 2p; with p < 1/2 necessarily
such that C(∞) > 0 and r(∞)/L < 1/2, as characteristic of
an MBL phase. For W = 7, as in Fig. 8, the MBL0 C(∞) (cid:6)
0.8, only slightly larger than its interacting counterpart of
C(∞) (cid:6) 0.7.
We add that in Appendix C we also point out the connec-
tion P(r; ∞) ≡ F n(r) between the long-time limit of P(r; t )
and the eigenstate correlation function F n(r) [Eq. (28b),
which for MBL0 is the same for all eigenstates n].
The t dependence of K (t ) is readily determined. Its asymp-
totic behavior, formally for t (cid:16) 1, is given by
(cid:22)
K (t ) ∼ 1
2W
π
2
[cos(2t ) − sin(2t )]
√
t
,
(38)
vanishing as a power law ∝ 1/
t superimposed on the os-
cillating envelope of period π . The maxima of the oscillatory
part occur at the discrete set of points t = 7
π + π n (n ∈ N0),
8
at which
C(t ) ∼
(cid:13)
1 − tan−1(W )
W
(cid:14)
+
√
π
2W
.
1√
t
(39)
√
This is superimposed on the MBL0 result for C(t ) shown in
Fig. 8, and in practice is seen to account very well for the
behavior down to times t on the order of unity.
For MBL0 one can also determine the eigenstate-resolved
C [n]
(t ) = 1 − 2r (n)(t )/L for an arbitrary eigenstate |n(cid:9). In this
case, reflecting the real-space site-separability of H, it can be
shown (although we do not prove it here) that the disorder-
averaged C [n]
(cid:5) |n(cid:9) is independent of both the
site (cid:5) and the particular eigenstate |n(cid:9). In consequence,
C [n]
(t ) ≡ C(t ); providing a rationale for the fact, mentioned
in Sec. V B above, that our ED calculations of C [n]
(t ) in the
interacting case are barely discernible from those for C(t ).
(cid:5)(cid:5)(t ) = (cid:10)n| ˆσ z
(cid:5) (t ) ˆσ z
2. Fluctuations
While our primary focus has been the first moment of
P(r; t ), higher central moments are also of course calculable.
As previously mentioned, the fact that it is r(t )/L, which
generically remains finite in the thermodynamic limit means
that it is fluctuations in this quantity one should consider, as
reflected in σ 2(t ) := δr2(t )/L2 [with δr2(t ) from Eq. (8b)].
As shown in Sec. IV for the short-t domain, which holds for
all disorder/interaction strengths, σ 2(t ) ∝ 1/L. Fluctuations
are thus entirely suppressed in the thermodynamic limit. Just
the same situation arises for MBL0, which, from Eq. (35) for
P(r; t ), gives σ 2(t ) = z0(t )[1 − z0(t )]/L. Indeed, employing
steepest descents on Eq. (35) shows P(r; t ) as a function of
y ≡ r/L to be Gaussian, with a mean of z0(t ) (= r(t )/L) and
variance σ 2(t ) ∝ 1/L; such that it becomes δ distributed in the
thermodynamic limit.
More generally, across essentially the full range of disorder
strengths, our ED calculations are also qualitatively consistent
with the above conclusions: aside from a small W interval
around Wc ∼ 4, with increasing L we find δr2(t )/L2 to pro-
gressively decrease, and the P(r; t ) profile to narrow.
VI. LATERAL PROBABILITY TRANSPORT
We turn now to the substantive question of how the t-
dependent wavefunction spreads out laterally, as reflected in
the time-dependent distribution of probabilities across the
rows of the FS graph.
As explained in Sec. III B, the quantity RI (r; t ) [Eq. (12)]
provides a natural measure of fluctuations in the distribution
of PIJ ’s along any given row r, and is related directly to
the row-resolved, t-dependent IPR by RI (r; t ) = NrII,2(r; t )
[Eq. (15)], with Nr =
the number of FS sites on row r. We
(cid:3)
(cid:2)
L
r
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PHYSICAL REVIEW B 107, 094206 (2023)
FIG. 9. t dependence of
the average (cid:10)R(cid:9) (= Nr(cid:10)I2(cid:9)), see
Eqs. (12), (13), and (15). Shown for r = L/2 with W = 1, 2 (top
row) and W = 5, 7 (bottom row), for system sizes indicated.
consider first the averages, (cid:10)R(cid:9) ≡ (cid:10)R(cid:9)(r; t ) or (cid:10)I2(cid:9) [Eqs. (13)
and (15)], over disorder realizations and FS sites I, before
turning to the full probability distribution PR(x) [Eq. (14)] of
RI (r; t ).
There is no a priori requirement here to average over
all FS sites I, so in this section we choose (for numerical
convenience) to average over FS sites I whose site energies
EI lie close to their mean value of zero. Since our interest
lies in dynamics, we also focus on a particular, representa-
tive r throughout the section. We choose the midpoint of the
FS graph, r = L/2 [or r = (L − 1)/2 for odd L], and have
checked that the key results arising are not dependent on this
choice. Figure 9 shows the t dependence of (cid:10)R(cid:9) for the system
sizes indicated, with W = 1, 2 representative of the ergodic
regime and W = 5, 7 of the MBL regime.
r
r
Three notable points are evident in Fig. 9. First, in the
short-time domain t (cid:2) 0.1, (cid:10)R(cid:9) = 1 independently of L, for
all interaction strengths W . As pointed out in Sec. III B [under
Eq. (12)], this is the limit of complete homogeneity, where all
PIJ (t )’s on any given row of the graph are the same (itself
shown in Sec. IV). In consequence, RI (r; t ) = 1 [Eq. (12)]
and hence (cid:10)R(cid:9) = 1, as seen; equivalently the row-resolved IPR
(cid:10)I2(cid:9) = N −1
(cid:10)R(cid:9) = N −1
.
Second, consider now the opposite limit in Fig. 9, viz.
the long-time behavior. For W = 1, 2, (cid:10)R(cid:9) here is O(1) and
L independent, just as it is in the short-time domain; while
for W = 5, 7 by contrast, (cid:10)R(cid:9) clearly grows with increasing
L. As explained in Sec. III B [under Eq. (15)], the former
behavior again reflects the essentially uniform distribution
of probabilities PIJ (t ) over FS sites on the row, with (cid:10)I2(cid:9) =
N −1
, as one expects for an ergodic regime at late
r
times. In the MBL regime by contrast, the growth of (cid:10)R(cid:9) with
L reflects that probabilities, and hence the wavefunction, are
strongly inhomogeneously distributed on the row.
(cid:10)R(cid:9) ∝ N −1
r
FIG. 10. Results here refer to long-time behavior (taken at t =
104). Left panel: (cid:10)R(cid:9) vs W for system sizes indicated. Right panel:
ln(cid:10)R(cid:9) vs ln Nr, shown for W = 5, 6, 7 and W = 1; showing the scal-
≡ (cid:10)I2(cid:9) ∼ N −ν
ing behavior (cid:10)R(cid:9) ∼ N 1−ν
, with exponent ν < 1 in
the MBL regime and ν = 1 in the ergodic regime.
r
r
to decrease with increasing W (for W = 5, 7, ν (cid:6) 0.4, 0.3
respectively). This figure also shows the same plot for W =
1, confirming the L independence of (cid:10)R(cid:9) (corresponding to
ν = 1). The left panel of Fig. 10 gives the late-time (cid:10)R(cid:9) as
a function of W , confirming both the strong L dependence
inside the MBL regime, and its corresponding absence in the
ergodic phase. Equally, it shows a typical “crossover W win-
dow”, whose presence is inevitable given accessible system
sizes; and which, without further detailed scaling analysis,
precludes substantive consideration of W ’s in the vicinity of
Wc ∼ 3.8 [55] (which is not our aim here).
Third, consider again Fig. 9 for the ergodic phase W ’s. Al-
though as above (cid:10)R(cid:9) ≡ (cid:10)R(cid:9)(t ) is L independent at both short-
and long-times, for times t on the order of unity (cid:10)R(cid:9)(t (cid:6) 1)
shows a strong L dependence. This too is found to have the
form (cid:10)R(cid:9)(t (cid:6) 1) ∼ N 1−ν
, directly analogous to Fig. 10 (right
panel), and with an exponent ν ≡ ν(t (cid:6) 1) that likewise de-
creases with increasing W [for W = 1, 2, ν(t = 1) (cid:6) 0.8 and
0.7 respectively].
r
The overall physical picture arising from the above
is then as follows. Following the W -independent, short-
time complete homogeneity of the squared wavefunction
amplitudes/probabilities along the row of the graph, the L
dependence arising by t ∼ 1—again for all W —indicates the
dynamical emergence of multifractal behavior of the wave-
function. The latter persists with increasing t in the MBL
regime, until by t ∼ 10 or so the long-time multifractality is
well established. For the ergodic W ’s by contrast, that evo-
lution is arrested; and the system instead crosses over from
incipient multifractality to the ergodic behavior reflected in
(cid:10)R(cid:9) ∼ N 0
), indicating an essentially
r
uniform distribution of probabilities along the row. This pic-
ture, pertaining to the row-resolved IPR, provides a rather
natural and consistent complement to that shown in Sec. IV
to arise for the behavior of the conventional IPR over the full
Fock space (see Fig. 3).
∼ O(1) (i.e., (cid:10)I2(cid:9) ∼ N −1
r
As was conjectured on physical grounds in Sec. III B, the
L dependence of (cid:10)R(cid:9) in the MBL regime is indeed found
to be (cid:10)R(cid:9) ∼ N 1−ν
r —or equivalently (cid:10)I2(cid:9) ∼ N −ν
for the row-
resolved IPR—with a long-time (multi)fractal exponent ν <
1. That this is so is demonstrated in Fig. 10, right panel, where
in the MBL regime the long-time exponent ν is also seen
r
Probability distributions
The discussion above has centered on the average value
(cid:10)R(cid:9) of RI (r; t ) = NrII,2(r; t ) [Eq. (12)]. Now we consider the
full probability distribution of RI (r; t ), given by [Eq. (14)]
PR(x) = (cid:10)δ(x − RI (r; t ))(cid:9)d,I (with the I averaging over sites
094206-11
CREED, LOGAN, AND ROY
PHYSICAL REVIEW B 107, 094206 (2023)
FIG. 11. Probability distribution PR(x) of x ( ≡ RI (r; t )) for W = 1 (top row) and W = 7 (bottom), at the sequence of t’s specified, and for
different system sizes L as indicated. Full discussion in text.
whose FS-site energies are close to their mean, as mentioned
above); and the first moment of which distribution is precisely
(cid:10)R(cid:9) considered above.
To illustrate the key points here, Fig. 11 shows PR(x) vs x
for W = 1 (top row) and W = 7 (bottom), at the sequence of
t’s indicated, and over the range of system sizes studied. Note
that, for either W , PR(x) for t = 0.1 is Dirac-delta distributed
at x = 1. This reflects the short-time regime (t (cid:2) 0.1) for
which, as discussed above in relation to Fig. 9, RI (r; t ) = 1
(for any r, I and all W ), and hence PR(x) = δ(x − 1).
First consider W = 1 in Fig. 11, illustrating the ergodic
regime. For any given L, the PR(x) distribution evolves most
significantly with t over the interval 0.1 (cid:2) t (cid:2) 1. On further
increasing t, the mean (= (cid:10)R(cid:9)) of PR(x) decreases, as also
evident from Fig. 9. By t = 100 the mean of the evidently
symmetrical PR(x) appears rather well converged over the
accessible L range; and the distribution is both narrow and
sharpening with increasing L (indeed that behavior is evident
by t ∼ 10). A simple fit to PR(x) for t = 100, shows it clearly
to be normally distributed, with a variance decreasing with L.
The situation is quite different in the MBL regime, illus-
trated by W = 7 in Fig. 11. Here again, PR(x) evolves most
significantly with t over the interval 0.1 (cid:2) t (cid:2) 1. For fixed
L, the distributions are in fact practically converged to their
long-time limit by t ∼ 1, above which little further tempo-
ral evolution occurs. Clearly, however, the late-time PR(x)
is much broader than its counterpart in the ergodic regime
(note the the greatly increased x scale compared to W = 1),
reflecting the substantial inhomogeneity arising in the MBL
regime, as discussed above. With increasing L the mean and
mode of PR(x) continue to increase, as discussed in regard
to Fig. 9. And the distribution is not only visibly broad but
appears to be heavy tailed.
To obtain some understanding of the form of PR(x) in the
MBL regime, note first that, in contrast to the ergodic phase,
the mean (cid:10)R(cid:9) of PR(x) is itself increasing with L (as per
Fig. 9). To distill this out from the large-x tail of PR(x), we
thus consider the distribution
P˜R
(x) = (cid:10)δ(x − ˜R)(cid:9)
d,I
:
˜R = RI (r; t )
(cid:10)R(cid:9)
(40)
of ˜R = RI (r; t )/(cid:10)R(cid:9), which has a mean of unity for all t. This
is shown in Fig. 12 (left panel) from which, given the modest
accessible L range, reasonable scaling behavior is seen; and
showing a power-law tail P˜R(x) ∼ x−α with α (cid:6) 2.5, such that
the variance of the distribution, and all higher moments, are
unbounded.
It appears in fact that PR(x) itself is described by a general-
ized Lévy distribution,
PR,L´evy(x) = Aα−1
(cid:2)(α − 1)
1
xα exp(−A/x)
x(cid:16)A∝ x−α
(41)
[with A an L-dependent constant and (cid:2)(z) the gamma func-
tion]; and which heavy-tailed distribution is stable provided
α < 3. The mode of PR,L´evy(x) is xmode = A/α and, provided
FIG. 12. Left panel: For W = 7 at
t = 100, showing P˜R(x)
[Eq. (40)] vs x for L values indicated. Dashed line shows comparison
to the corresponding Lévy distribution P˜R,L´evy(x) [Eq. (42)]. Inset:
PR(x) for L = 13, compared to a two-parameter fit to PR,L´evy(x)
[Eq. (41)]. Right panel: Now for W = 2 at t = 1, showing P˜R(x) vs
x. Dashed line again compares to corresponding P˜R,L´evy(x).
094206-12
PROBABILITY TRANSPORT ON THE FOCK SPACE OF A …
PHYSICAL REVIEW B 107, 094206 (2023)
FIG. 13. For W = 1. Top panels: Distribution Prel(x) of x [Eq. (43)] vs x, at the t’s specified, and for system sizes L indicated. Bottom
panels: Cumulative distribution Prel,c(x). Red dashed line in final panel shows half-Gaussian fit to data (see text).
α > 2, its mean is finite and given by x = A(cid:2)(α − 2)/(cid:2)(α −
1) := A/ f (α). The corresponding Lévy distribution for ˜R is
then
P˜R,L´evy
(x) = [ f (α)]α−1
(cid:2)(α − 1)
x−α exp(− f (α)/x),
(42)
and depends solely on α and not on A. The inset to the left
panel of Fig. 12 shows PR(x) itself (for L = 13 at t = 100),
compared to a two-parameter fit (viz., α, A) to PR,L´evy(x)
(leading to α (cid:6) 2.5); the agreement is rather good. The left
panel of Fig. 12 shows P˜R(x) for increasing system sizes, com-
pared to the corresponding P˜R,L´evy(x) Eq. (42) (dashed line).
We add that the L dependence of the fit PR,L´evy(x) itself arises
largely from the L dependence of A; by contrast, over the
accessible L window, α varies relatively little (and for which
reason P˜R,L´evy(x) in Fig. 12 shows reasonable convergence
with increasing L).
While we have latterly focused on the MBL regime, it
was pointed out above that in the ergodic phase—e.g., W =
1, 2 in Fig. 9—the average (cid:10)R(cid:9)(t ) shows strong L depen-
dence at times t (cid:6) 1; reflecting incipient multifractality in the
wavefunction, which is arrested at later times as the system
crosses over to characteristic ergodic behavior. Naturally, such
behavior around t (cid:6) 1 is equally apparent in the full PR(x) dis-
tributions for the ergodic phase shown in Fig. 11. Accordingly,
the right panel in Fig. 12 shows (for W = 2) the distributions
P˜R(x) for t = 1, in direct analogy to Fig. 12 left panel. Once
again the Lévy form appears to describe the data rather well;
now with a larger tail exponent (α (cid:6) 7) than for the MBL
regime [such that the variance of P˜R(x) is finite].
Prel(x) distribution
Complementary insight into the spread of probabilities
across a row of the FS graph comes from the distribu-
tion Prel(x) [Eq. (16)]. For a given row r, this gives the
distribution—over disorder realizations, FS sites J on the row,
and initial FS sites I—of PIJ (t ) relative to its mean value on
the row,
x ≡
(cid:7)
PIJ (t )
J:rIJ =r PIJ (t )
1
Nr
= PIJ (t )
1
Nr
PI (r; t )
.
(43)
The first moment of Prel(x) is 1 by construction, while its
second moment is the average (cid:10)R(cid:9) studied above.
First, consider W = 1 (again choosing r = L/2). The top
row of Fig. 13 show Prel(x) vs x at the sequence of t’s
specified, and for different system sizes L. Corresponding
cumulative distributions,
(cid:18)
Prel,c(x) =
0
x
dy Prel(y) ,
(44)
are shown in the bottom panels. While Prel(x) is not converged
in L for t = 1—as expected from the preceding discussion—
the distributions appear converged in L for the other t’s shown.
The long-time Prel(x) is reached by t = 102 (indeed essentially
so by t ∼ 10); and consistent with the convergence of Prel(x)
with L, the long-time value of (cid:10)R(cid:9) =
dx x2Prel(x) is seen
from Fig. 9 to be O(1) and L independent. This long-time
Prel(x) is in fact rather well captured by a half-Gaussian distri-
bution, of form PG(x) = (2/π ) exp(−x2/π ) (for x (cid:2) 0), with
a mean of unity and a corresponding cumulative distribution
π ). The latter is compared to the ED data in Fig. 13
Erf (x/
(final panel, dashed line), and seen to agree well with it.
√
(cid:10)
The important physical point here is that the long-time
Prel(x) (or PG(x)) has a mean of unity, and fluctuations that
are also O(1). This means the probabilities PIJ are essentially
uniformly distributed across the row; as evident, e.g., from
Eq. (43) where, if all PIJ ’s on the row are comparable, then
x ∼ O(1). This is symptomatic of the ergodic behavior one
expects for weak disorder.
But now consider the case of W = 7, representative of the
MBL regime, for which corresponding results are shown in
Fig. 14. The situation here is very different since—particularly
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FIG. 14. For W = 7. Top panels: Distribution Prel(x) of x [Eq. (43)] vs x, at the sequence of t’s specified, and for system sizes L indicated.
Bottom panels: Corresponding cumulative distribution Prel,c(x).
in the wings of Prel(x)—the distribution is clearly not con-
verging with L for any t (save for t (cid:2) 0.1, as known on
general grounds, Sec. IV). This is to be expected because, as
shown above, e.g., the long-time value of (cid:10)R(cid:9) =
dx x2Prel(x)
grows with increasing L, as (cid:10)R(cid:9) ∼ N 1−ν
r with exponent ν < 1.
The question then is, what features of the long-time Prel(x)
distribution determine that behavior? It must surely arise from
the large-x tails of Prel(x), which, from Fig. 14, are “filling
out” in an obvious sense with increasing L.
(cid:10)
To examine this, consider the effective cumulative distribu-
tion
(cid:18)
x
dy y2Prel(y),
(45)
Fc (x) =
0
giving the contribution to (cid:10)R(cid:9) arising from different parts of
the Prel distribution. This is shown in Fig. 15 for x > 1 (dashed
lines and right axis), together with Prel(x) itself (solid lines,
FIG. 15. For W = 7, with t = 100. Fc(x) [Eq. (45)] vs x (dashed
lines, right-hand scale), shown for x > 1 and different L as indicated;
and Prel(x) (solid lines, left-hand scale). Black arrowheads show Nr
(=
for odd L). Dashed black line shows
fit to Prel(x) data (see text).
for even L, and
L
(L±1)/2
L
L/2
(cid:2)
(cid:2)
(cid:3)
(cid:3)
left axis). We add in passing that while the large-x behavior
of Prel(x) does not appear to be a pure power law, it is quite
well captured by Prel(x) ∼ ax−n ln x (with n (cid:6) 2.3), shown as
the black dashed line in Fig. 15. As seen from the figure, Fc(x)
for a given L tends to its saturation value at the x = xm(L) for
which Prel(x) “crashes” in a self-evident sense. xm(L) grows
strongly with L, and the Fc(x)’s for different L progressively
collapse onto an essentially common curve.
(cid:3)
(cid:2)
L
r
As discussed below, the maximum possible value of x
[Eq. (43)] in Prel(x) is in fact Nr =
(and thus exponentially
large in L for any finite r/L). That this is indeed the xm(L)
for which Prel(x) crashes and Fc(x) consequently plateaus is
seen in Fig. 15, where black arrows show Nr. The fact that
max(x) = Nr is evident from Eq. (43). Since all PIJ (cid:2) 0 then,
over the set of probabilities PIJ for the Nr FS sites J on row r,
it arises in the case where only a single PIJ —call it PIJ ∗—
J:rIJ =r PIJ ≡
completely dominates the others (such that
PIJ ∗). More generally, if the set of PIJ are correspondingly
non-negligible for an O(1) number of FS sites J on the row,
then the associated x is again O(Nr ).
(cid:7)
As shown, it is then the large-x behavior of Prel(x), which
governs the second moment (cid:10)R(cid:9), and consequently all higher
moments, of the distribution. Physically, this arises from FS
sites J for which PIJ greatly exceeds the mean probabil-
ity N −1
J:rIJ =r PIJ on the row. And that of course reflects
the strong inhomogeneity in the distribution of PIJ ≡ PIJ (t )
across a row, which is symptomatic of the MBL regime for
sufficiently long times.
(cid:7)
r
VII. SUMMARY AND DISCUSSION
The central question we posed at the outset was, given an
initial spin configuration, how do the probability densities of
the time-evolving quantum state spread out on the FS graph of
a disordered quantum spin chain? In the course of investigat-
ing this question, a rather rich phenomenology was uncovered
for the anatomy of probability transport on FS. This can be
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PROBABILITY TRANSPORT ON THE FOCK SPACE OF A …
PHYSICAL REVIEW B 107, 094206 (2023)
quantum spin chain, it also motivates several further ques-
tions of immanent interest. For conserved quantities, or local
observables which have a finite overlap with the former it is
worth asking if there exists a connection between potentially
anomalous transport of the conserved quantity in real space,
and FS probability transport. This naturally involves space-
time correlations in real space, and not just autocorrelations.
Going beyond systems with conserved quantities, one can also
ask about the fate of probability transport in the absence of
any conserved quantities, such that r(t ) is not restricted to be
subdiffusive nor C(t ) to decay as a power-law in time.
In this paper we focused on FS probability transport, which
is clearly a two-point correlation function on FS. One can
generalize the question to that of the dynamics of four-point
correlations on FS, with the aim of understanding entangle-
ment growth in disordered quantum systems [69–71], both in
the ergodic as well as the MBL phase.
The persistence of dynamical inhomogeneities in the MBL
phase can also provide us with a starting point for under-
standing and theorising about the role of resonances in the
MBL phase from a FS point of view. Speculating that these
resonances are caused by rare disorder fluctuations in real
space, it is also interesting to ask similar questions for MBL
phases with quasiperiodic potentials, which are devoid of such
rare regions [72–74].
Finally, we add that understanding probability transport on
Fock space is not solely of theoretical interest, but is also
of direct experimental relevance; as evident, e.g., in a recent
preprint [52] in which aspects of longitudinal FS probability
transport were studied in an experimental realization of a
two-dimensional disordered hard-core Bose-Hubbard model
on a superconducting quantum processor.
ACKNOWLEDGMENTS
This work was supported in part by EPSRC, under Grant
No. EP/L015722/1 for the TMCS Centre for Doctoral Train-
ing, and Grant No. EP/S020527/1. S.R. also acknowledges
support from an ICTS-Simons Early Career Faculty Fellow-
ship, via a grant from the Simons Foundation (677895, R.G.).
We are grateful to Qiujiang Guo for drawing our attention to
the recent preprint [52].
APPENDIX A: PIJ (t ) EIGENSTATE RESOLUTION
As mentioned in Sec. V,
the probabilities PIJ (t ) =
|(cid:10)J|e−iHt |I(cid:9)|2 can be eigenstate resolved in the form
PIJ (t ) = N −1
H
(cid:4)
n
P(n)
IJ (t )
(A1)
(cid:7)
(cid:7)
n r (n)
I (t ) =
with the sum over eigenstates n. Any quantity linear in
the {PIJ (t )}’s can thus likewise be eigenstate resolved. For
J rIJ PIJ (t ) is rI (t ) =
example, the first moment rI (t ) =
(cid:7)
N −1
I (t ) with r (n)
IJ (t ), and it is the dis-
H
order averaged r (n)(t )/L = N −1
I (t )/L shown in Fig. 5;
(cid:7)
H
similarly [see Eqs. (9) and (11)], C(t ) = N −1
C [n](t ) with
H
C [n](t ) = 1 − 2
(cid:7)
Since PIJ (t ) ≡ RePIJ (t ) is pure real, Eq. (5) gives PIJ (t ) =
n,m cos[(En − Em)t]AnI AnJ AmI AmJ . Hence on comparison to
J rIJ P(n)
(cid:7)
I r (n)
L r (n)(t ).
n
FIG. 16. Schematic summary of the three main time windows
in the dynamics, and their characteristic features in the ergodic and
MBL phases.
conveniently summarized by considering three time windows,
as follows (see Fig. 16 for a visual summary).
(i) Short times, t (cid:2) 1: In this regime, the system is agnos-
tic to which phase it is in, ergodic or MBL. The dynamics on
these scales is characterized by an emergent (multi)fractality
of the time-evolving state, but homogeneous lateral proba-
bility transport across rows of the FS graph. Another crucial
feature of this regime is that the emergent lengthscale r(t ) ∼
O(L) for any finite t, however small; this ensures that the
spin-autocorrelation C(t ) is necessarily less than unity. The
fractal exponent τ2, as well as the lengthscale r(t ), grows as
∝ t 2 in this regime.
(ii) Intermediate times, 1 (cid:2) t (cid:2) tH : This is arguably the
most
interesting dynamical regime. While the emergent
(multi)fractality of the entire wavefunction persists, albeit
with an increasing τ2, strong inhomogeneities in the lateral
probability transport also set in, reflected in (multi)fractal
scalings of the row-resolved IPRs. This is also manifest in
the distributions PR and Prel not being converged with L. On
these timescales, at intermediate disorder strengths preced-
ing the MBL regime, r(t ) (or r (n)(t )) grows subdiffusively,
∼t β with β < 1/2, implying an anomalous t −β power-law
decay of the real-space spin autocorrelation. In the MBL
phase as well, there is a power-law envelope to the decay
of the spin autocorrelation, but with clear signatures of the
incipient saturation to a finite value, characteristic of that
phase.
(iii) Long times, t (cid:3) tH: This is the regime where the
dynamics is essentially saturated and one sees the eigenstate
properties. In the ergodic phase, the (multi)fractality gives
way to a fully extended homogeneous state, both in terms of
the IPR of the entire state as well as the row-resolved IPRs;
and as also reflected in (cid:10)R(cid:9) saturating to an L-independent
value, and similarly for the distributions PR and Prel. This is
qualitatively different from the MBL regime, in which the
(multi)fractality, for both the full state and at the row-resolved
level, persists for arbitrarily long times. This is symptomatic
of strongly inhomogeneous probability transport on the FS
graph in the MBL phase, and is also manifest in PR exhibiting
a heavy-tailed Lévy alpha-stable distribution.
While the paper has presented quite a comprehensive pic-
ture of probability transport on the FS graph of a disordered
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CREED, LOGAN, AND ROY
PHYSICAL REVIEW B 107, 094206 (2023)
Eq. (A1), Eq. (31) follows directly, expressed in terms of (real)
eigenstate amplitudes (AmJ = (cid:10)J|m(cid:9)) and eigenvalues.
Considering PIJ (t ) = Re[(cid:10)I|eiHt |J(cid:9)(cid:10)J|e−iHt |I(cid:9)], and in-
(cid:7)
serting the identity operator ˆ1 =
|n(cid:9)(cid:10)n|, gives
n
N −1
H P(n)
(A2)
= |J(cid:9)(cid:10)J|
|n(cid:9)
+ ˆOI
ˆOJ
:
ˆOJ (t ))|n(cid:9)
IJ (t ) = Re(cid:10)n| ˆOJ (t ) ˆOI
= 1
(cid:10)n|( ˆOJ (t ) ˆOI
2
ˆOJ = |J(cid:9)(cid:10)J| thus defined (a so-called be-
with the operator
hemoth operator [75]); showing that P(n)
IJ (t ) can equally be
expressed as an eigenstate expectation value of the self-adjoint
operator, ˆO(t ) = 1
2 ( ˆOJ (t ) ˆOI + ˆOI ˆOJ (t )).
While any PIJ (t ) itself is non-negative for all t, we add that
the same is not guaranteed for P(n)
IJ (t ); although it is obvious
from Eq. (31) that this does hold in the short- and long-time
limits, for which N −1
nI and N −1
IJ (t =
∞) = A2
nI A2
nJ . In practice, this is, however, of little import,
with quantities such as r(n)(t )/L shown in Fig. 5 found to be
non-negative for all t, as expected physically.
IJ (t = 0) = δIJ A2
H P(n)
H P(n)
APPENDIX B: HEISENBERG TIMES
The mean level spacing at energy ω is [NHD(ω)]−1, with
D(ω) the density of states/eigenvalues normalized to unity
over ω. Reflecting the central limit theorem, D(ω) is known
to be a Gaussian [34,53] with vanishing mean for the disor-
∝ L
dered TFI model under consideration, and a variance μ2
E
given exactly by [43] μ2
3W 2 + (cid:2)2].
E
The Heisenberg time tH is the inverse of the mean level
spacing. We consider it at the band center, ω = 0 (where it
is largest), so tH = NHD(0) = NH/
3 (δJ )2 + 1
= L[J 2 + 1
2π μ2
E and hence
(cid:23)
tH =
(cid:23)
2π L
(cid:5)
J 2 + 1
2L
3 (δJ )2 + 1
3W 2 + (cid:2)2
(cid:6) .
(B1)
For all ED calculations, J = 1, δJ = 0.2 and (cid:2) ≡ 1 are
fixed. tH obviously increases with L and decreases with disor-
der strength W . For W = 1, 2, and L ∈ [8, 14], tH ranges from
∼20 to ∼103, while for W = 6, 7 it correspondingly ranges
from ∼10 to ∼400.
APPENDIX C: MBL0
We outline basic steps underlying the results given in
Sec. V B 1 for MBL0, which corresponds to the noninteracting
limit J(cid:5) = 0 of H, Eq. (1). The Hamiltonian in this case is
site-separable, H =
(cid:5) . The
latter is diagonalized as
H(cid:5), with H(cid:5) = h(cid:5) ˆσ z
(cid:5) + (cid:2) ˆσ x
L
(cid:5)=1
(cid:7)
(cid:23)
H(cid:5) = φ(cid:5) ˆ˜σ z
(cid:5)
: φ(cid:5) =
(cid:5) + (cid:2)2
h2
(C1)
in terms of the spin-1/2 operator
h(cid:5) ˆσ z
(cid:23)
(cid:5) =
ˆ˜σ z
(cid:5) + (cid:2) ˆσ x
(cid:5)
(cid:5) + (cid:2)2
h2
(C2)
(such that [ ˆ˜σ z
product state of the set of ˜σ spins, |n(cid:9) = |{ ˜σ z
either +1 or −1.
(cid:5) ]2 = 1). An eigenstate |n(cid:9) of H is simply a
(cid:5) }(cid:9) with each ˜σ z
(cid:5)
Now consider
the probability amplitude GIJ (t ) =
(cid:10)J|e−iHt |I(cid:9) (with a general FS site |K(cid:9) ≡ |{S(cid:5),K }(cid:9) in the
notation specified in Sec. II). Since H is site-separable, GIJ (t )
is a separable product,
GIJ (t ) = (cid:10)J|e−iHt |I(cid:9) =
L(cid:24)
(cid:5)=1
(cid:10)S(cid:5),J
|e−iH(cid:5)t |S(cid:5),I
(cid:9),
(C3)
and e−iH(cid:5)t = cos(φ(cid:5)t ) − i ˆ˜σ z
the product are readily evaluated,
(cid:5) sin(φ(cid:5)t ). The matrix elements in
(cid:10)S(cid:5),J
⎧
⎨
(cid:9) =
|e−iH(cid:5)t |S(cid:5),I
cos(φ(cid:5)t ) − ih(cid:5)√
(cid:5) +(cid:2)2
h2
− i(cid:2)√
sin(φ(cid:5)t )
(cid:5) +(cid:2)2
h2
⎩
S(cid:5),I sin(φ(cid:5)t ) : S(cid:5),J
= S(cid:5),I
(C4)
: S(cid:5),J
= −S(cid:5),I
according to whether the local spin S(cid:5),J = ±S(cid:5),I .
Let the FS sites J, I be separated by a Hamming distance
rIJ = r. Then by definition r real-space sites have S(cid:5),J =
−S(cid:5),I , while (L − r) sites have S(cid:5),J = +S(cid:5),I . Equations (C3)
and (C4) then give
⎡
⎤
GIJ (t ) =
(cid:24)
⎢
⎣
(cid:5)∈r
(cid:23)
−i(cid:2)
(cid:5) + (cid:2)2
h2
⎡
sin(φ(cid:5)t )
⎥
⎦
(cid:24)
×
(cid:5)∈(L−r)
⎢
⎣cos(φ(cid:5)t ) −
ih(cid:5)(cid:23)
(cid:5) + (cid:2)2
h2
S(cid:5),I sin(φ(cid:5)t )
⎤
⎥
⎦
in an obvious notation. From this (recalling [S(cid:5),I ]2 = 1)
PIJ (t ) = |GIJ (t )|2 follows,
(cid:16)
(cid:24)
PIJ (t ) =
(cid:17)
sin2(φ(cid:5)t )
(cid:2)2
(cid:5) + (cid:2)2
h2
(cid:16)
1 −
(cid:24)
(cid:5)∈r
×
(cid:5)∈(L−r)
(cid:17)
(C5)
sin2(φ(cid:5)t )
.
(cid:2)2
(cid:5) + (cid:2)2
h2
This can now be averaged over disorder realizations, and since
the random fields {h(cid:5)} are i.i.d.,
(cid:19)
PIJ (t ) =
sin2(φ(cid:5)t )
(cid:21)r
d
(cid:2)2
(cid:5) + (cid:2)2
h2
(cid:19)
×
1 −
(cid:21)(L−r)
(cid:2)2
(cid:5) + (cid:2)2
h2
sin2(φ(cid:5)t )
,
(C6)
d
which is Eqs. (33) and (34) as required. Equation (C6) is
indeed seen to depend solely on the Hamming distance rIJ =
r between FS sites J, I; such that, from Eq. (6), P(r; t ) ≡
PI (r; t ) ≡
(cid:3)
PIJ (t ), as given explicitly in Eq. (35).
Equation (35) can obviously be cast in the form
(cid:14)
(cid:2)
L
r
(cid:13)
P(r; t ) =
[1 + e−1/ξ 0
F (t )]−Le−r/ξ 0
F (t )
(C7)
L
r
in terms of a correlation length ξ 0
ln( 1
z0 (t )
F (t ) =
− 1). This is the MBL0 counterpart of the short-time
F (t ) defined by 1/ξ 0
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PHYSICAL REVIEW B 107, 094206 (2023)
(cid:3)
result Eq. (24) [in the latter case, P(r; t ) ≡
PIJr (t )]. Equa-
tion (24) itself is of course general—in the sense that it holds
for all interaction and disorder strengths—and Eq. (C7) cor-
rectly reduces to it for (cid:2)t (cid:2) 1.
(cid:2)
L
r
We also point out the connection between the long-time
limit P(r; t = ∞) of Eq. (C7), and the eigenstate corre-
lation function F n(r) defined generally by Eq. (28b) and
given in terms of FS correlation lengths ξF,n for eigenstates
n by Eq. (29). P(r; ∞) is given generally by P(r; ∞) =
N −1
n F n(r). For MBL0 one can however show that the
H
(cid:7)
nI A2
nJ
disorder-averaged A2
is independent of the particular
eigenstate n. From Eq. (28b), F n(r) is thus independent of
n, whence P(r; ∞) ≡ F n(r) gives the connection sought.
(cid:2)
L
r
dynamical correlation length ξ 0
eigenstate correlation length, viz., ξ 0
explicitly [using Eq. (37)] by ξ 0
ξ 0
F (∞) ∝ 1/ ln W for W (cid:16) 1.
Comparison of Eq. (C7) for t = ∞ to Eq. (29), F n(r) =
(cid:3)
(1 + e−1/ξF,n )−Le−r/ξF,n , then relates directly the infinite-t
F (∞) to the (n-independent)
F (t = ∞) ≡ ξF,n; given
− 1)]−1, with
F (∞) = [ln( 1
p
[1] D. M. Basko, I. L. Aleiner, and B. L. Altshuler, Metal–
insulator transition in a weakly interacting many-electron sys-
tem with localized single-particle states, Ann. Phys. 321, 1126
(2006).
[2] I. V. Gornyi, A. D. Mirlin, and D. G. Polyakov, Interacting Elec-
trons in Disordered Wires: Anderson Localization and Low-T
Transport, Phys. Rev. Lett. 95, 206603 (2005).
[3] V. Oganesyan and D. A. Huse, Localization of interact-
ing fermions at high temperature, Phys. Rev. B 75, 155111
(2007).
[4] M. Žnidariˇc, T. Prosen, and P. Prelovšek, Many-body localiza-
tion in the Heisenberg XXZ magnet in a random field, Phys. Rev.
B 77, 064426 (2008).
[5] Y. Bar Lev, G. Cohen, and D. R. Reichman, Absence of
Diffusion in an Interacting System of Spinless Fermions on
a One-Dimensional Disordered Lattice, Phys. Rev. Lett. 114,
100601 (2015).
[6] R. Nandkishore and D. A. Huse, Many-body localization and
thermalization in quantum statistical mechanics, Annu. Rev.
Condens. Matter Phys. 6, 15 (2015).
[7] D. A. Abanin and Z. Papi´c, Recent progress in many-body
localization, Ann. Phys. 529, 1700169 (2017).
[8] D. A. Abanin, E. Altman, I. Bloch, and M. Serbyn, Colloquium:
thermalization, and entanglement,
Many-body localization,
Rev. Mod. Phys. 91, 021001 (2019).
[9] A. Pal and D. A. Huse, Many-body localization phase transition,
Phys. Rev. B 82, 174411 (2010).
[17] D. J. Luitz and Y. Bar Lev, The ergodic side of the many-body
localization transition, Ann. Phys. 529, 1600350 (2017).
[18] S. Roy, Y. Bar Lev, and D. J. Luitz, Anomalous thermalization
and transport in disordered interacting Floquet systems, Phys.
Rev. B 98, 060201(R) (2018).
[19] D. A. Huse, R. Nandkishore, and V. Oganesyan, Phenomenol-
ogy of fully many-body-localized systems, Phys. Rev. B 90,
174202 (2014).
[20] M. Serbyn, Z. Papi´c, and D. A. Abanin, Local Conservation
Laws and the Structure of the Many-Body Localized States,
Phys. Rev. Lett. 111, 127201 (2013).
[21] V. Ros, M. Müller, and A. Scardicchio, Integrals of motion
in the many-body localized phase, Nucl. Phys. B 891, 420
(2015).
[22] S. J. Garratt, S. Roy, and J. T. Chalker, Local resonances and
parametric level dynamics in the many-body localized phase,
Phys. Rev. B 104, 184203 (2021).
[23] A. Morningstar, L. Colmenarez, V. Khemani, D. J. Luitz,
and D. A. Huse, Avalanches and many-body resonances in
many-body localized systems, Phys. Rev. B 105, 174205
(2022).
[24] R. Ghosh and M. Žnidariˇc, Resonance-induced growth of num-
ber entropy in strongly disordered systems, Phys. Rev. B 105,
144203 (2022).
[25] S. J. Garratt and S. Roy, Resonant energy scales and local
observables in the many-body localized phase, Phys. Rev. B
106, 054309 (2022).
[10] D. J. Luitz, N. Laflorencie, and F. Alet, Many-body localization
edge in the random-field Heisenberg chain, Phys. Rev. B 91,
081103(R) (2015).
[26] P. J. D. Crowley and A. Chandran, A constructive theory of
the numerically accessible many-body localized to thermal
crossover, SciPost Phys. 12, 201 (2022).
[11] M. Serbyn, Z. Papi´c, and D. A. Abanin, Quantum quenches
in the many-body localized phase, Phys. Rev. B 90, 174302
(2014).
[27] D. M. Long, P. J. D. Crowley, V. Khemani, and A. Chandran,
Phenomenology of the prethermal many-body localized regime,
arXiv:2207.05761.
[12] D. J. Luitz, N. Laflorencie, and F. Alet, Extended slow dynami-
cal regime close to the many-body localization transition, Phys.
Rev. B 93, 060201(R) (2016).
[28] B. L. Altshuler, Y. Gefen, A. Kamenev, and L. S. Levitov,
Quasiparticle Lifetime in a Finite System: A Nonperturbative
Approach, Phys. Rev. Lett. 78, 2803 (1997).
[13] K. Agarwal, S. Gopalakrishnan, M. Knap, M. Müller, and
E. Demler, Anomalous Diffusion and Griffiths Effects Near
the Many-Body Localization Transition, Phys. Rev. Lett. 114,
160401 (2015).
[14] E. J. Torres-Herrera and L. F. Santos, Dynamics at the many-
body localization transition, Phys. Rev. B 92, 014208 (2015).
[15] D. J. Luitz, Long tail distributions near the many-body localiza-
tion transition, Phys. Rev. B 93, 134201 (2016).
[16] D. J. Luitz and Y. Bar Lev, Anomalous Thermalization in Er-
godic Systems, Phys. Rev. Lett. 117, 170404 (2016).
[29] C. Monthus and T. Garel, Many-body localization transition in
a lattice model of interacting fermions: Statistics of renormal-
ized hoppings in configuration space, Phys. Rev. B 81, 134202
(2010).
[30] A. De Luca and A. Scardicchio, Ergodicity breaking in a model
showing many-body localization, Europhys. Lett. 101, 37003
(2013).
[31] M. Serbyn, Z. Papi´c, and D. A. Abanin, Criterion for Many-
Body Localization-Delocalization Phase Transition, Phys. Rev.
X 5, 041047 (2015).
094206-17
CREED, LOGAN, AND ROY
PHYSICAL REVIEW B 107, 094206 (2023)
[32] F. Pietracaprina, V. Ros, and A. Scardicchio, Forward approx-
imation as a mean-field approximation for the Anderson and
many-body localization transitions, Phys. Rev. B 93, 054201
(2016).
[33] C. L. Baldwin, C. R. Laumann, A. Pal, and A. Scardicchio,
The many-body localized phase of the quantum random energy
model, Phys. Rev. B 93, 024202 (2016).
[34] D. E. Logan and S. Welsh, Many-body localization in
Fock space: A local perspective, Phys. Rev. B 99, 045131
(2019).
[35] S. Roy, D. E. Logan, and J. T. Chalker, Exact solution of a
percolation analog for the many-body localization transition,
Phys. Rev. B 99, 220201(R) (2019).
[36] S. Roy, J. T. Chalker, and D. E. Logan, Percolation in Fock
space as a proxy for many-body localization, Phys. Rev. B 99,
104206 (2019).
[37] S. Roy and D. E. Logan, Self-consistent theory of many-body
localisation in a quantum spin chain with long-range interac-
tions, SciPost Phys. 7, 042 (2019).
multifractality across the many-body localization transition,
Phys. Rev. B 106, 054203 (2022).
[51] S. Roy, Hilbert-space correlations beyond multifractality and
bipartite entanglement in many-body localized systems, Phys.
Rev. B 106, L140204 (2022).
[52] Y. Yao, L. Xiang, Z. Guo, Z. Bao, Y.-F. Yang, Z. Song, H. Shi,
X. Zhu, F. Jin, J. Chen et al., Observation of many-body Fock
space dynamics in two dimensions, arXiv:2211.05803.
[53] S. Welsh and D. E. Logan, Simple probability distributions
on a Fock-space lattice, J. Phys.: Condens. Matter 30, 405601
(2018).
[54] The Hamming distance between two classical spin configura-
tions is simply the number of spins that are different between
the two.
[55] D. Abanin, J. Bardarson, G. De Tomasi, S. Gopalakrishnan,
V. Khemani, S. Parameswaran, F. Pollmann, A. Potter, M.
Serbyn, and R. Vasseur, Distinguishing localization from chaos:
Challenges in finite-size systems, Ann. Phys. 427, 168415
(2021).
[38] N. Macé, F. Alet, and N. Laflorencie, Multifractal Scalings
Across the Many-Body Localization Transition, Phys. Rev.
Lett. 123, 180601 (2019).
[56] J. Šuntajs, J. Bonˇca, T. Prosen, and L. Vidmar, Quantum chaos
challenges many-body localization, Phys. Rev. E 102, 062144
(2020).
[39] F. Pietracaprina and N. Laflorencie, Hilbert-space fragmenta-
tion, multifractality, and many-body localization, Ann. Phys.
435, 168502 (2021).
[57] J. Šuntajs, J. Bonˇca, T. Prosen, and L. Vidmar, Ergodicity break-
ing transition in finite disordered spin chains, Phys. Rev. B 102,
064207 (2020).
[40] G. De Tomasi, D. Hetterich, P. Sala, and F. Pollmann, Dynamics
of strongly interacting systems: From Fock-space fragmenta-
tion to many-body localization, Phys. Rev. B 100, 214313
(2019).
[41] S. Ghosh, A. Acharya, S. Sahu, and S. Mukerjee, Many-body
localization due to correlated disorder in Fock space, Phys. Rev.
B 99, 165131 (2019).
[58] P. Sierant, D. Delande, and J. Zakrzewski, Thouless Time Anal-
ysis of Anderson and Many-Body Localization Transitions,
Phys. Rev. Lett. 124, 186601 (2020).
[59] M. Kiefer-Emmanouilidis, R. Unanyan, M. Fleischhauer, and
J. Sirker, Evidence for Unbounded Growth of the Number En-
tropy in Many-Body Localized Phases, Phys. Rev. Lett. 124,
243601 (2020).
[42] S. Nag and A. Garg, Many-body localization in the presence of
long-range interactions and long-range hopping, Phys. Rev. B
99, 224203 (2019).
[60] D. Sels and A. Polkovnikov, Dynamical obstruction to local-
ization in a disordered spin chain, Phys. Rev. E 104, 054105
(2021).
[43] S. Roy and D. E. Logan, Fock-space correlations and the ori-
gins of many-body localization, Phys. Rev. B 101, 134202
(2020).
[61] M. Kiefer-Emmanouilidis, R. Unanyan, M. Fleischhauer, and J.
Sirker, Slow delocalization of particles in many-body localized
phases, Phys. Rev. B 103, 024203 (2021).
[44] G. Biroli and M. Tarzia, Anomalous dynamics on the ergodic
side of the many-body localization transition and the glassy
phase of directed polymers in random media, Phys. Rev. B 102,
064211 (2020).
[45] M. Tarzia, Many-body localization transition in Hilbert space,
Phys. Rev. B 102, 014208 (2020).
[46] G. De Tomasi, I. M. Khaymovich, F. Pollmann, and S. Warzel,
Rare thermal bubbles at the many-body localization transition
from the Fock space point of view, Phys. Rev. B 104, 024202
(2021).
[47] M. Hopjan and F. Heidrich-Meisner, Many-body localiza-
tion from a one-particle perspective in the disordered one-
dimensional Bose-Hubbard model, Phys. Rev. A 101, 063617
(2020).
[48] K. S. Tikhonov and A. D. Mirlin, Eigenstate correlations
around the many-body localization transition, Phys. Rev. B 103,
064204 (2021).
[49] S. Roy and D. E. Logan, Fock-space anatomy of eigenstates
across the many-body localization transition, Phys. Rev. B 104,
174201 (2021).
[50] J. Sutradhar, S. Ghosh, S. Roy, D. E. Logan, S. Mukerjee,
and S. Banerjee, Scaling of the Fock-space propagator and
[62] D.
Sels, Bath-induced
interacting
disordered spin chains, Phys. Rev. B 106, L020202
(2022).
delocalization
in
[63] M. Schreiber, S. S. Hodgman, P. Bordia, H. P. Lüschen,
M. H. Fischer, R. Vosk, E. Altman, U. Schneider, and I.
Bloch, Observation of many-body localization of interacting
fermions in a quasirandom optical lattice, Science 349, 842
(2015).
[64] J. Smith, A. Lee, P. Richerme, B. Neyenhuis, P. W. Hess, P.
Hauke, M. Heyl, D. A. Huse, and C. Monroe, Many-body
localization in a quantum simulator with programmable random
disorder, Nat. Phys. 12, 907 (2016).
[65] E. J. Torres-Herrera, A. M. García-García, and L. F. Santos,
Generic dynamical features of quenched interacting quan-
tum systems: Survival probability, density imbalance, and
out-of-time-ordered correlator, Phys. Rev. B 97, 060303(R)
(2018).
[66] M. Schiulaz, E. J. Torres-Herrera, and L. F. Santos, Thouless
and relaxation time scales in many-body quantum systems,
Phys. Rev. B 99, 174313 (2019).
[67] That τq(t = ∞) = q − 1 in this case is easily seen from an ar-
gument applicable deep in an ergodic phase, where eigenstates
094206-18
PROBABILITY TRANSPORT ON THE FOCK SPACE OF A …
PHYSICAL REVIEW B 107, 094206 (2023)
(cid:7)
are effectively Gaussian random vectors (grv’s). From Eq. (5),
∼ 1/NH for the
PIJ (∞) =
nJ quite generally, with A2
nI
case of grv’s. Hence PIJ (∞) ∼ 1/NH, from which LI,q(∞) =
(cid:7)
.
IJ (∞) ∼ N 1−q
H = N
−τq (∞)
H
nI A2
n A2
J Pq
[68] T. L. M. Lezama, S. Bera, and J. H. Bardarson, Apparent slow
dynamics in the ergodic phase of a driven many-body localized
system without extensive conserved quantities, Phys. Rev. B 99,
161106(R) (2019).
[69] J. H. Bardarson, F. Pollmann,
J. E. Moore,
Unbounded Growth
of
in Models
Many-Body Localization, Phys. Rev. Lett. 109, 017202
(2012).
and
of Entanglement
[70] M. Serbyn, Z. Papi´c,
Slow Growth of Entanglement
Disordered
(2013).
Systems, Phys. Rev. Lett.
and D. A. Abanin, Universal
in Interacting Strongly
110,
260601
[71] T. L. M. Lezama and D. J. Luitz, Power-law entanglement
growth from typical product states, Phys. Rev. Res. 1, 033067
(2019).
[72] V. Khemani, D. N. Sheng, and D. A. Huse, Two Universality
Classes for the Many-Body Localization Transition, Phys. Rev.
Lett. 119, 075702 (2017).
[73] V. Khemani, S. P. Lim, D. N. Sheng, and D. A. Huse, Critical
Properties of the Many-Body Localization Transition, Phys.
Rev. X 7, 021013 (2017).
[74] N. Roy, J. Sutradhar, and S. Banerjee, Diagnostics of non-
ergodic extended states and many body localization prox-
imity effect through real-space and Fock-space excitations,
arXiv:2208.10714.
[75] I. M. Khaymovich, M. Haque, and P. A. McClarty, Eigenstate
Thermalization, Random Matrix Theory, and Behemoths, Phys.
Rev. Lett. 122, 070601 (2019).
094206-19
| null |
10.1371_journal.ppat.1010103.pdf
|
Data Availability Statement: The RNA-seq
datasets generated during this study are available
at Bioproject accession number PRJNA742496 in
the NCBI Bioproject database (http://www.ncbi.
nlm.nih.gov/bioproject/742496).
|
The RNA-seq datasets generated during this study are available at Bioproject accession number PRJNA742496 in the NCBI Bioproject database ( http://www.ncbi. nlm.nih.gov/bioproject/742496 ).
|
RESEARCH ARTICLE
γδ T cell IFNγ production is directly subverted
by Yersinia pseudotuberculosis outer protein
YopJ in mice and humans
Timothy H. ChuID
Yue ZhangID
Vincent W. Yang3, James B. Bliska6, Brian S. SheridanID
1,2, Camille KhairallahID
1,2, Onur Eskiocak4, David G. Thanassi1,2, Mark H. KaplanID
1,2*
1,2, Jason Shieh3, Rhea Cho1,2, Zhijuan QiuID
1,2,
5, Semir Beyaz4,
a1111111111
a1111111111
a1111111111
a1111111111
a1111111111
1 Department of Microbiology and Immunology, Renaissance School of Medicine, Stony Brook University,
Stony Brook, New York, United States of America, 2 Center for Infectious Diseases, Renaissance School of
Medicine, Stony Brook University, Stony Brook, New York, United States of America, 3 Department of
Medicine, Renaissance School of Medicine, Stony Brook University, Stony Brook, New York, United States of
America, 4 Cold Spring Harbor Laboratory, Cold Spring Harbor, New York, United States of America,
5 Department of Microbiology and Immunology, School of Medicine, Indiana University, Indianapolis, Indiana,
United States of America, 6 Department of Microbiology and Immunology, Geisel School of Medicine,
Dartmouth College, Dartmouth, New Hampshire, United States of America
OPEN ACCESS
Citation: Chu TH, Khairallah C, Shieh J, Cho R, Qiu
Z, Zhang Y, et al. (2021) γδ T cell IFNγ production
is directly subverted by Yersinia
pseudotuberculosis outer protein YopJ in mice and
humans. PLoS Pathog 17(12): e1010103. https://
doi.org/10.1371/journal.ppat.1010103
Editor: Denise M. Monack, Stanford University
School of Medicine, UNITED STATES
Received: July 29, 2021
Accepted: November 9, 2021
Published: December 6, 2021
Copyright: © 2021 Chu et al. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
Data Availability Statement: The RNA-seq
datasets generated during this study are available
at Bioproject accession number PRJNA742496 in
the NCBI Bioproject database (http://www.ncbi.
nlm.nih.gov/bioproject/742496).
Funding: This work was supported by The G.
Harold and Leila Y. Mathers Foundation grant MF-
1901-00210 (B.S.S.), the NIH grants T32 AI007539
(T.H.C.), R01 AI099222 (J.B.B.), K12 GM102778
(Z.Q.), and R01 AI141633 (D.G.T.), and funds
provided by The Research Foundation for the State
* brian.sheridan@stonybrook.edu
Abstract
Yersinia pseudotuberculosis is a foodborne pathogen that subverts immune function by
translocation of Yersinia outer protein (Yop) effectors into host cells. As adaptive γδ T cells
protect the intestinal mucosa from pathogen invasion, we assessed whether Y. pseudotu-
berculosis subverts these cells in mice and humans. Tracking Yop translocation revealed
that the preferential delivery of Yop effectors directly into murine Vγ4 and human Vδ2+ T
cells inhibited anti-microbial IFNγ production. Subversion was mediated by the adhesin
YadA, injectisome component YopB, and translocated YopJ effector. A broad anti-pathogen
gene signature and STAT4 phosphorylation levels were inhibited by translocated YopJ.
Thus, Y. pseudotuberculosis attachment and translocation of YopJ directly into adaptive γδ
T cells is a major mechanism of immune subversion in mice and humans. This study uncov-
ered a conserved Y. pseudotuberculosis pathway that subverts adaptive γδ T cell function
to promote pathogenicity.
Author summary
Unconventional γδ T cells are a dynamic immune population important for mucosal pro-
tection of the intestine against invading pathogens. We determined that the foodborne
pathogen Y. pseudotuberculosis preferentially targets an adaptive subset of these cells to
subvert immune function. We found that direct injection of Yersinia outer proteins (Yop)
into adaptive γδ T cells inhibited their anti-pathogen functions. We screened all Yop effec-
tors and identified YopJ as the sole effector to inhibit adaptive γδ T cell production of
IFNγ. We determined that adaptive γδ T cell subversion occurred by limiting activation of
the transcription factor STAT4. When we infected mice with Y. pseudotuberculosis
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1010103 December 6, 2021
1 / 29
PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
University of New York (B.S.S.) and Stony Brook
University (B.S.S.). The funders had no role in
study design, data collection and analysis, decision
to publish, or preparation of the manuscript.
Competing interests: The authors have declared
that no competing interests exist.
expressing an inactive YopJ, this enhanced the adaptive γδ T cell response and led to
greater cytokine production from this subset of cells to aid mouse recovery. This mecha-
nism of immune evasion appears conserved in humans as direct injection of Y. pseudotu-
berculosis YopJ into human γδ T cells inhibited cytokine production. This suggested to us
that Y. pseudotuberculosis actively inhibits the adaptive γδ T cell response through YopJ as
a mechanism to evade immune surveillance at the site of pathogen invasion.
Introduction
Pathogens in the genus Yersinia include three species (Y. pestis, Y. pseudotuberculosis, and Y.
enterocolitica) that can cause human disease. Y. pseudotuberculosis and Y. enterocolitica cause
enteric infections [1,2] while Y. pestis is the causative agent of bubonic, septicemic, and pneu-
monic plague that has claimed over 200 million human lives [3,4]. Bubonic and septicemic
plague is transmitted by blood sucking fleas while aerosols spread the pneumonic plague.
Despite vaccine availability [5], and sensitivity to antibiotic treatment, pneumonic plague com-
monly results in fatality in part due to the rapid course of the infection [6].
Pathogenic Yersinia spp. harbor a virulence plasmid that encodes numerous virulence fac-
tors to subvert host immune responses, including IFNγ production [7–9]. Immune cell subver-
sion requires Yersinia adherence to host cells through bacterial adhesins and translocation of
Yersinia outer proteins (Yop) effectors into the host cell cytoplasm by a type III secretion sys-
tem (T3SS). Yersinia spp. predominately target host phagocytes like macrophages, dendritic
cells (DC), neutrophils, and B cells to subvert immune function during infection, but injection
into other immune populations like conventional T cells has been reported, albeit to a lesser
degree than their phagocytic counterparts [10–12]. Yersinia virulence factors include compo-
nents of the T3SS (e.g., YopB) and translocated effectors (e.g., YopJ and YopH). YopB forms a
pore in the host cell membrane necessary for translocation of Yop effectors [13,14]. Numerous
Yop effectors translocate into host cells to inhibit immune responses and promote Yersinia
spp. pathogenesis. One notable example is YopJ, an acetyl transferase and a possible cysteine
protease that inhibits the mitogen-activated protein kinase (MAPK) pathway and tumor
necrosis factor receptor-associated factor (TRAF) ubiquitination [15–19]. YopJ is the major
Yop effector responsible for the induction of pyroptosis in macrophages during infection [20]
and limits toll-like receptor 4 (TLR4) dependent signaling pathways [21]. While YopJ has no
known direct effects on conventional T cell activation, YopP (a YopJ homolog in Y. enterocoli-
tica) indirectly inhibits T cell priming via DC subversion [22]. YopH has been reported to
have direct effects on conventional T cells in vitro. Transfection of a YopH expression plasmid
into Jurkat or human T cells inhibited T cell receptor (TCR) signaling and promoted T cell
apoptosis [23,24]. Additionally, stimulation of Jurkat cells with a YopH deficient Y. pseudotu-
berculosis restored T cell signaling and IL-2 production [25,26]. Even in this context, it is nota-
ble that many of the downstream targets in the αβ TCR signaling pathway were inhibited at an
excessively high (>50) multiplicity of infection (MOI) and in vivo relevance is unclear [23,26].
Thus, the role of direct subversion of T cell function, especially among unconventional T cells,
by Yersinia spp. remains largely unexplored.
γδ T cells make up a large proportion of lymphocytes at barrier surfaces and mucosal tissues
including the intestines of mice and humans [27,28]. This is particularly pertinent to infections
caused by Y. pseudotuberculosis, which has evolved to invade the intestinal barrier. The activity
of γδ T cells can be modulated by numerous cell-intrinsic and environmental factors like the
γδ TCR, cytokines, and co-stimulatory or inhibitory receptors [29]. For example, IL-12 and
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1010103 December 6, 2021
2 / 29
PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
IL-18 may promote IFNγ production from some γδ T cell subsets whereas IL-1β and IL-23
predominantly drive IL-17A production from other γδ T cell subsets [30–35]. Vγ4Vδ1 (Gar-
man nomenclature [36]) T cells have traditionally been considered an innate-like cell. How-
ever, our group recently characterized a long-lived CD27- CD44hi Vγ4Vδ1 T cell memory
population in the context of foodborne Listeria monocytogenes infection [37,38]. While Vγ4 T
cells are typically programmed for IL-17A production, this subset has the multifunctional
capacity to produce both IL-17A and IFNγ [37]. Similar observations of IFNγ production were
made in clonally expanded Vγ4 T cells in response to Staphylococcus aureus in the skin [39].
IFNγ activates macrophages to kill intracellular pathogens or phagocytosed bacteria and
induces chemokines that attract immune cells to the site of infection. IFNγ is a critical cytokine
in protection from Y. enterocolitica infection [2,40], Y. pestis intranasal challenge [41], and
associated with protection from Y. pseudotuberculosis [42]. Interestingly, IFNγ but not IL-17A
production from type-3 innate lymphoid cells is critical for the control of foodborne Y. entero-
colitica infection [43]. As such, unconventional T cells like Vγ4 T cells that are ideally placed to
provide protection against pathogen invasion at mucosal sites may be particularly relevant to
Yersinia infections that invade mucosal barriers of the lungs (pneumonic Y. pestis) and gut (Y.
pseudotuberculosis and Y. enterocolitica).
Despite a foundational understanding of Yersinia pathogenesis, physiologically robust evi-
dence linking Yersinia pathogenesis to direct subversion of T cell function is lacking. Here, we
uncovered a novel YopJ-dependent immunomodulatory pathway used by Y. pseudotuberculo-
sis to directly subvert a murine Vγ4Vδ1 anti-microbial response to aid Y. pseudotuberculosis
pathogenesis. Y. pseudotuberculosis also directly subverted a human Vδ2+ T cell IFNγ
response, suggesting that this pathway may function similarly in human infection to aid Y.
pseudotuberculosis pathogenesis.
Results
Viable Y. pseudotuberculosis inhibits IFNγ production by adaptive γδ T
cells in a YopB- and YadA-dependent manner
Initial experiments were carried out to determine if Y. pseudotuberculosis inhibits adaptive γδ
T cell function ex vivo. To overcome the extremely low number of Vγ4 T cells in gut-associated
lymphoid tissues of naïve specific pathogen free (SPF) mice, a previously established in vivo
methodology was utilized to generate a sizable population of adaptive Vγ4 T cells for in vitro
manipulation. As such, naïve Balb/c mice were exposed to foodborne L. monocytogenes and
MLN enriched in adaptive γδ T cells were isolated 9 days after infection [37], several days after
mice typically clear L. monocytogenes [44]. MLN single cell suspensions were infected directly
ex vivo with heat-killed or live wild-type (WT) Y. pseudotuberculosis (Yptb) 32777 (Table 1) at
a multiplicity of infection (MOI) of 10 for 2 hours. Antibiotics were then added to prevent
overgrowth of the live bacteria, and the cultures were incubated an additional 22 hours. Flow
cytometry in conjunction with intracellular cytokine staining was used to assess IFNγ produc-
tion from Vγ1.1/2- CD44hi CD27- γδ T cells (identifying the adaptive Vγ4 T cell subset
[37,38]). Heat-killed Y. pseudotuberculosis elicited a significantly higher IFNγ response from
adaptive Vγ4 T cells than was detectable after stimulation with live Y. pseudotuberculosis (Fig
1A). This observation suggests that live Y. pseudotuberculosis subverts adaptive Vγ4 T cell
function. The virulence activity of Y. pseudotuberculosis relies substantially on its T3SS and
translocation of Yop effectors into host cells. To determine if the T3SS is required for live Y.
pseudotuberculosis inhibition of γδ T cell function, MLN single cell suspensions were infected
with WT Y. pseudotuberculosis or Y. pseudotuberculosis that were unable to translocate Yop
effectors (ΔYopB) or lacked the virulence plasmid that encodes the T3SS (32777c) (Table 1)
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1010103 December 6, 2021
3 / 29
PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
Table 1. Y. pseudotuberculosis strains and mutants used in this study.
Y. pseudotuberculosis
Notation
Relevant Characteristics
32777
32777c
32777 YopJC172A
32777 YopHR409A
32777 ΔYopB
32777 YopER144A
32777 YopTC139A
32777 ΔYopM
32777 ΔYpkA
32777 ΔYopK
32777 YopE/β-lac
32777 ΔYopB YopE/β-lac
IP2666
IP40
IP2666 ΔInv
IP2666 ΔYadA
IP2666 ΔInv ΔYadA
IP40 ΔInv ΔYadA
WT
WT2777c
YopJC172A
YopHR409A
ΔYopB
YopER144A
YopTC139A
ΔYopM
ΔYpkA
ΔYopK
WT Yptb-βla
ΔYopB Yptb-βla
WT
ΔYopB
ΔInv
ΔYadA
ΔInv ΔYadA
Yptb wild-type serogroup O:1 strain
Virulence pYV-cured derivative of 32777 that lacks the T3SS
Catalytically inactive YopJ
Catalytically inactive YopH
Deletion of YopB
Catalytically inactive YopE
Catalytically inactive YopT
Deletion of YopM
Deletion of YpkA
Frameshift mutation in YopK
YopE TME-1 β-lactamase fusion protein
Deletion of YopB in the YopE/β-lac
Yptb wild-type serogroup O:3 strain
IP2666 yopB40 (a stop codon at codon 8 of YopB followed by a frameshift)
Deletion of adhesin and invasin
Deletion of adhesin and YadA
Deletion of adhesin, invasion, and YadA
ΔYopB ΔInv ΔYadA
Deletion of invasion and YadA in IP40 and pMMB207 mCherry
https://doi.org/10.1371/journal.ppat.1010103.t001
References
[47]
[47]
[45]
[45,48,49]
[45,46]
[45]
[45]
[50]
[51]
[52]
[53–55]
[53–55]
[47]
[56]
[12,57]
[12,57]
[12,57]
[12,57]
[45–47]. γδ T cell function was assessed 24 hours later as described above. Stimulation with
live Y. pseudotuberculosis strains ΔYopB or 32777c restored the IFNγ response of Vγ1.1/2-
CD44hi CD27- γδ T cells (Fig 1B), similar to levels seen after stimulation with heat-killed WT
Y. pseudotuberculosis (Fig 1A). These data indicate that Y. pseudotuberculosis inhibits IFNγ
production by Vγ4 T cells in a manner that requires the T3SS and translocation of Yop
effectors.
Y. pseudotuberculosis adheres to host cells with the bacterial adhesins invasin (Inv) and
YadA to translocate effectors through the T3SS [58–60]. For Y. enterocolitica, both Inv and
YadA bind β1-integrin either directly or indirectly through the extracellular matrix, respec-
tively [61]. Additionally, β1-integrin expressed on host cells is a known adhesion target for Y.
pseudotuberculosis [60,62]. To evaluate the role of these adhesins in the inhibition of γδ T cell
function, live Y. pseudotuberculosis with a deletion of Inv (ΔInv), YadA (ΔYadA), or both
(ΔInv ΔYadA) (Table 1) were utilized to infect MLN cell suspensions. Vγ1.1/2- CD44hi CD27-
γδ T cells stimulated with ΔInv bacteria produced only minimal IFNγ, comparable to unstimu-
lated cells or cells stimulated with WT (Fig 1C). In contrast, ΔYadA or ΔInv ΔYadA stimula-
tion led to partial restoration of IFNγ production, and stimulation with ΔYopB or ΔYopB ΔInv
ΔYadA bacteria led to full restoration of IFNγ production (Fig 1C). Thus, YadA but not Inv
contributes to translocation dependent inhibition of IFNγ production by Vγ4 T cells.
Translocation of Yop effectors into adaptive γδ T cells by Y.
pseudotuberculosis is associated with IFNγ inhibition
To determine if Y. pseudotuberculosis can translocate Yop effectors into adaptive Vγ4 T cells, a
WT strain expressing a YopE-β-lactamase fusion protein (Yptb-βla) in conjunction with a
FRET-based β-lactamase reporter assay was used [63]. YopE translocation into target cells can
be readily assessed by a change in fluorescence using flow cytometry. Thus, translocation of
the YopE-β-lactamase fusion protein reports Yop effector translocation by emission in the
blue range (Yop+) or lack thereof by emission in the green range (Yop-) [10,64,65]. A YopB
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Fig 1. Y. pseudotuberculosis inhibition of Vγ1.1/2- CD44hi CD27- γδ T cell function is YopB- and YadA-
dependent. MLN cell suspensions from L. monocytogenes infected Balb/c mice were left unstimulated or stimulated
with 10 MOI of the indicated Y. pseudotuberculosis for 24 hours. Antibiotics were given 2 hours post-stimulation and
brefeldin A was added for the last 5 hours of stimulation. Vγ1.1/2- CD44hi CD27- γδ T cells were analyzed for IFNγ
production. Representative histograms are displayed. (A) Cells were stimulated with live or heat-killed (HK) wild-type
(WT) Y. pseudotuberculosis. The graph depicts the mean ± SEM and represents at least two independent experiments
with 4 mice/group/experiment. (B) Cells were stimulated with live WT, ΔYopB, or 32777c Y. pseudotuberculosis. The
graph depicts the mean ± SEM and represents at least two independent experiments with 4 mice/group/experiment.
(C) Cells were stimulated with WT, ΔYopB, ΔYadA, ΔInv, ΔInv ΔYadA, or ΔYopB ΔInv ΔYadA Y. pseudotuberculosis.
The graph depicts the mean ± SEM pooled from two independent experiments with 3 mice/group/experiment.
���p < 0.0001, ��p < 0.01, and �p < 0.05. An unpaired t-test was used for (A) and a repeated measures one-way
ANOVA was used for (B) and (C). Experimental groups were compared to live WT Y. pseudotuberculosis in (A) and
WT Y. pseudotuberculosis in (B) and (C).
https://doi.org/10.1371/journal.ppat.1010103.g001
deficient β-lactamase Y. pseudotuberculosis reporter (ΔYopB Yptb-βla) was used as a transloca-
tion deficient control. Stimulation of MLN cell suspensions with WT or ΔYopB Yptb-βla con-
firmed reporter activity at various MOI (S1A and S1B Fig). Two hours post stimulation with
WT Yptb-βla, the majority of Vγ1.1/2- CD44hi CD27- γδ T cells were positive for Yop effector
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PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
translocation (Fig 2A). Yop translocation into Vγ1.1/2- CD44hi CD27- γδ T cells was compara-
ble to known DC and macrophage targets (Fig 2A). Additionally, Yop translocation was more
efficient into Vγ1.1/2- CD44hi CD27- γδ T cells than CD4 or CD8 T cells (Fig 2A). Y. pseudotu-
berculosis also preferentially targeted Vγ1.1/2- CD44hi CD27- γδ T cells over CD44- γδ T cells
and activated phenotype CD4 or CD8 T cells for Yop translocation (S1C Fig). YadA and Inv
promote Yersinia adherence by direct or indirect interactions with the β1-integrin [66–69].
Analysis of β1-integrin expression on Vγ1.1/2- CD44hi CD27- γδ T cells, CD4 T cells, and CD8
T cell revealed that most Vγ1.1/2- CD44hi CD27- γδ T cells expressed the β1-integrin (S2A
Fig). In contrast, most conventional CD4 and CD8 T cells did not express the β1-integrin. In
addition, use of the WT Yptb-βla reporter for Yop translocation demonstrated that Yop trans-
location was associated with higher β1-integrin expression among γδ T cells (S2B Fig). Thus,
Y. pseudotuberculosis selectively targets adaptive γδ T cells for Yop translocation among a
diverse group of immune populations assessed in an ex vivo culture system.
As adaptive Vγ4 T cells were directly targeted with Yop effector translocation, WT Yptb-βla
was utilized to determine whether Vγ1.1/2- CD44hi CD27- γδ T cells that contained Yop effec-
tors were functionally impaired. An MOI of 1 was used as it provided similarly sized popula-
tions of Vγ1.1/2- CD44hi CD27- γδ T cells that did or did not contain translocated effectors
from the same culture conditions (S1B Fig). Among WT Yptb-βla stimulated cells, Yop+
Vγ1.1/2- CD44hi CD27- γδ T cells had reduced IFNγ production as compared to their Yop-
counterparts (Fig 2B). To extend these results, the ability of Y. pseudotuberculosis to translocate
Yop effectors into human γδ T cells and inhibit IFNγ production was assessed in peripheral
blood mononuclear cells (PBMC) cultures stimulated with the WT Yptb-βla reporter. Approx-
imately 8% of human Vδ2+ T cells were Yop+ and these cells had significantly reduced IFNγ
production as compared to the Yop- counterparts (Fig 2C and 2D). These data indicate that Y.
pseudotuberculosis is capable of translocating Yop effectors into γδ T cell subsets and inhibiting
IFNγ production in mice and humans.
YopJ is necessary for Y. pseudotuberculosis to inhibit IFNγ production in
adaptive γδ T cells
As multiple effectors are translocated into target cells, a panel of yop mutant Y. pseudotubercu-
losis (Table 1) [45] was screened to determine if individual Yop effectors inhibit IFNγ produc-
tion. Similar to the ΔYopB mutant, stimulation with a catalytically inactive YopJ (YopJC172A)
mutant that lacks acetyl transferase activity, but not other mutant Y. pseudotuberculosis,
restored IFNγ production in Vγ1.1/2- CD44hi CD27- γδ T cells (Fig 3A). The C172A mutation
in YopJ prevents YopJ mediated inhibition of MAPK and NF-κB signaling pathways by abol-
ishing its serine and threonine acetylation activity [70]. A similar restoration of IFNγ produc-
tion was observed in human Vδ2+ T cells from PBMC of healthy donors upon YopJC172A Y.
pseudotuberculosis stimulation (Fig 3B). Thus, the YopJ effector is responsible for inhibition of
IFNγ production from murine Vγ4 and human Vδ2+ T cells.
YopJ inhibits expression of multiple genes, including ifng, in adaptive γδ T
cells
To uncover mechanisms by which YopJ inhibits IFNγ production, the transcriptome of cell
sorter-purified Vγ1.1/2- CD44hi CD27- γδ T cells after WT or YopJC172A Y. pseudotuberculosis
stimulation of MLN cells was assessed by RNA-Seq. Principal component analysis revealed
unique gene expression clustering, and approximately 900 genes were expressed at higher lev-
els in the YopJC172A stimulation as compared to WT Y. pseudotuberculosis (Fig 4A and 4B).
These differentially expressed genes may include genes that are directly inhibited by YopJ
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Fig 2. Direct translocation of Yop effectors inhibits the function of murine Vγ4 and human Vδ2+ T cells. MLN suspensions from L.
monocytogenes infected mice (A and B) or human PBMC (C and D) were left unstimulated or stimulated with WT or ΔYopB Yptb-βla as
indicated. Cells were loaded with CCF4-AM dye prior to stimulation to measure β-lactamase activity. FITC indicates CCF4-AM loaded cells
without translocation (Yop-) and BV421 indicates CCF4-AM loaded cells with Yop translocation (Yop+). (A) Adaptive γδ T cells (Vγ1.1/2-
CD44hi CD27- γδ T cells), DC (CD11chi MHCIIhi), Macrophages (F4/80+ CD11b+), and CD4 and CD8 T cells were analyzed for Yop
translocation 2 hours post stimulation at an MOI of 10. Representative contour plots are displayed. Yop translocation among the indicated
populations is depicted as mean ± SEM and is pooled from 2 experiments with a total of 4–8 mice per group. (B) Antibiotics were given 2
hours post-stimulation and brefeldin A was added for the last 5–6 hours of stimulation. Vγ1.1/2- CD44hi CD27- γδ T cells were analyzed for
Yop translocation and IFNγ production 24 hours after stimulation. Representative contour plots and histograms are shown. IFNγ production
among the indicated populations is depicted as mean ± SEM and is pooled from 3 experiments with a total of 8 mice per group. (C and D)
Antibiotics were given 2 hours post-stimulation and brefeldin A was added for the last 5–6 hours of stimulation. Vδ2+ T cells were analyzed for
Yop translocation and IFNγ production post stimulation. Representative contour plots are displayed and IFNγ production is quantified among
Yop+ or Yop- Vδ2+ T cells. The graph depicts mean ± SEM and is pooled from 3 experiments with 5 healthy donors per group. ����p < 0.0001,
���p < 0.001, ��p < 0.01, and �p < 0.05. An ordinary one-way ANOVA was used for (A), a repeated measures one-way ANOVA was used for
(B), and a paired t-test was used for (D). Comparisons were performed to adaptive γδ T cells in (A), to unstimulated or as depicted in figure in
(B), and to Yop+ in (C).
https://doi.org/10.1371/journal.ppat.1010103.g002
activity in Vγ1.1/2- CD44hi CD27- γδ T cells or indirectly inhibited by YopJ activity in other
cells such as DC or macrophages. To resolve this, the WT Yptb-βla reporter provided an
opportunity to evaluate the molecular changes elicited by the activity of translocated Yop in
adaptive γδ T cells. The transcriptome of sort purified Yop- and Yop+ Vγ1.1/2- CD44hi CD27-
γδ T cells after WT Yptb-βla stimulation was assessed by RNA-Seq. Principal component anal-
ysis revealed unique gene expression clustering, and approximately 900 genes were more
highly expressed in Yop- vs Yop+ Vγ1.1/2- CD44hi CD27- γδ T cells after WT Yptb-βla stimula-
tion (Fig 4C and 4D). Overlapping gene expression profiles from the two datasets were
assessed to narrow the analysis to direct YopJ effects on Vγ1.1/2- CD44hi CD27- γδ T cells.
This comparison revealed 130 genes that were differentially expressed in both datasets, sug-
gesting they are regulated directly by translocated YopJ in adaptive Vγ4 T cells (Fig 4E). These
genes were categorized into different groups depending on their known functions. Some dif-
ferentially expressed genes play a particular role in anti-infection functions (3.9%), stress sens-
ing (1.6%), and lymphocyte activation/regulation (7.9%), genes that may be important for
protective T cell responses (Fig 4E and 4F). Among these genes, IFNγ was the single most sig-
nificant differentially expressed gene suggesting it is a major target of direct YopJ-mediated
inhibition of adaptive γδ T cell function (Fig 4F). Differentially expressed genes among those
that promote antimicrobial function included several that are important in augmenting type-1
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Fig 3. YopJ is necessary for inhibition of IFNγ production in murine Vγ4 and human Vδ2+ T cells. (A) MLN from L. monocytogenes infected
mice were left unstimulated or stimulated with 10 MOI of the indicated Y. pseudotuberculosis for 24 hours. Antibiotics were given 2 hours post-
stimulation and brefeldin A was added for the last 5–6 hours. Vγ1/2- CD44hi CD27- γδ T cells were analyzed for IFNγ post stimulation.
Representative histograms are displayed. The graph depicts mean ± SEM and represents at least two independent experiments with 2–4 mice per
group. (B) Human PBMC were stimulated with 1 MOI of WT or YopJC172A Y. pseudotuberculosis for 24 hours. Antibiotics were given 2 hours post-
stimulation. Brefeldin A was added for the last 5–6 hours of stimulation. Vδ2+ γδ T cells were analyzed for IFNγ production post stimulation.
Representative flow plots gated on Vδ2+ T cells are displayed. The graph depicts mean ± SEM and is pooled from 2 experiments with 4 healthy
donors. ��p < 0.01 and �p < 0.05. A repeated measures one-way ANOVA was used for (A) and a paired t-test was used for (B). Experimental groups
were compared to WT Y. pseudotuberculosis.
https://doi.org/10.1371/journal.ppat.1010103.g003
and -3 inflammation in T cells. For example, Ptgs2 (encodes cyclooxygenase-2, COX2), Nkg7
(natural killer cell granule protein 7), Prf1 (perforin-1), and Il17a (IL-17A) appear to be regu-
lated directly by translocated YopJ in adaptive Vγ4 T cells (Fig 4F) [71–73]. However, analysis
of IL-17A protein after stimulation of MLN cell suspensions with YopJC172A, WT, and ΔYopB
Y. pseudotuberculosis demonstrated that YopJ did not regulate IL-17A production from Vγ1.1/
2- CD44hi CD27- γδ T cells (S4 Fig). Some of the observed differentially expressed genes are
important in the activation status of T cells (e.g., Il2ra, Ctla4, and Cd69) and suggest that trans-
located YopJ may limit the activation of adaptive Vγ4 T cells. There was also a notable impact
(48.0%) on genes associated with cell proliferation, metabolism and energy, mitosis and cell
cycle, RNA/DNA processing, and ER/Golgi processing (Figs S3A and S3B and 4E), suggesting
that YopJ influences the adaptive γδ T cell transcriptional profile more broadly than just tar-
geting the IFNγ pathway. Genes that were differentially expressed upon WT Y. pseudotubercu-
losis stimulation or among Yop+ cells also suggest that many of the processes associated with
immune responses and cellular activity were regulated by YopJ (S3C–S3E Fig). Collectively,
YopJ appears to regulate the expression of many genes associated with T cell function in
Vγ1.1/2- CD44hi CD27- γδ T cells, suggesting that adaptive Vγ4 T cells are broadly constrained
in their immune functions by Y. pseudotuberculosis.
YopJ inhibits the IL-12p40-mediated STAT4 pathway in adaptive γδ T cells
To gain potential mechanistic insights into YopJ inhibition of IFNγ production and other
Vγ1.1/2- CD44hi CD27- γδ T cell functions, a motif discovery algorithm designed for regula-
tory element analysis was utilized to assess our RNA sequencing results [74]. Several transcrip-
tion factor binding motifs related to IFNγ signaling were differentially expressed after
YopJC172A Y. pseudotuberculosis but not WT Y. pseudotuberculosis stimulation including mem-
bers of the E twenty-six (ETS)-domain family, Kru¨ppel-like factor and specificity protein
(KLF/SP) transcription factor gene family, and the interferon regulatory factors (IRF) family
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Fig 4. YopJ translocation leads to the inhibition of a broad anti-microbial gene response from Vγ4 T cells. (A and B) MLN suspensions from L.
monocytogenes infected mice were stimulated with 10 MOI of WT or YopJC172A Y. pseudotuberculosis for 24 hours. Antibiotics were given 2 hours post-
stimulation. Five hundred Vγ1.1/2- CD44hi CD27- γδ T cells from each stimulation were flow sorted and processed for RNA sequencing. (A) PCA plots
are depicted for similarity of groups YopJC172A and WT Y. pseudotuberculosis stimulated Vγ1.1/2- CD44hi CD27- γδ T cells. (B) Heat maps are depicted
for differentially expressed genes of YopJC172A or WT Y. pseudotuberculosis stimulated Vγ1.1/2- CD44hi CD27- γδ T cells. (C and D) MLN suspension
from L. monocytogenes infected mice were stimulated with 1 MOI of WT Yptb-βla. Five hundred Yop+ or Yop- Vγ1.1/2- CD44hi CD27- γδ T cells were
flow sorted and processed for RNA sequencing. (C) PCA plots are depicted for similarity of Yop+ or Yop- Vγ1.1/2- CD44hi CD27- γδ T cells. (D) Heat
maps are depicted for differentially expressed genes of Yop- or Yop+ stimulated Vγ1.1/2- CD44hi CD27- γδ T cells. (E-G) A Venn diagram of
differentially expressed genes (higher) that overlapped between RNA sequencing analyses favoring YopJC172A Y. pseudotuberculosis stimulation or Yop-
cells is displayed. Shared genes were categorized by gene function. (F) The heat map highlights differentially expressed genes among Vγ1.1/2- CD44hi
CD27- γδ T cells from the indicated stimulations and categories. (G) Homer motif analysis was performed on the RNA sequencing dataset. Motifs and
associated genes to YopJC172A stimulated Vγ1.1/2- CD44hi CD27- γδ T cells are highlighted. Each experiment was performed with 3 biologic samples per
group. Cutoffs for significant genes are p < 0.05 and FDR < 0.10.
https://doi.org/10.1371/journal.ppat.1010103.g004
of transcription factors (S5A Fig). IRF8 protein was validated after WT, ΔYopB, and YopJC172A
Y. pseudotuberculosis stimulation. Indeed, a higher percentage of Vγ4 T cells expressed IRF8
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PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
protein after stimulation with ΔYopB compared to WT Y. pseudotuberculosis stimulation (S5B
Fig). Stimulation with YopJC172A Y. pseudotuberculosis was also able to partially restore IRF8
levels to those seen after ΔYopB Y. pseudotuberculosis stimulation (S5B Fig). IRF8 was also
impacted by IL-12p40 blockade, which signals through signal transducer and activator of tran-
scription 4 (STAT4) (S5B Fig). Interestingly, a number of transcription factor binding motifs
downstream of STAT4 signaling were enriched including Etv5, Runx3, and Tead1 (Fig 4G)
[75–78]. The RNAseq and homer motif analyses were also compared to an existing STAT4
ChIP-on-chip [79]. 7 genes identified from our main analyses (Figs 4F and 4G and S5B) were
STAT4 target genes (S5C Fig). In summary, transcriptional profiling revealed a global subver-
sion of anti-pathogen immune functions that may be associated with YopJ subversion of
STAT4 activity.
IL-12 signaling leads to STAT4 phosphorylation and formation of STAT4-STAT4 homodi-
mers that re-localize to the nucleus where they directly bind to the Ifng promoter to induce
IFNγ expression [79–81]. To determine whether YopJ inhibits IFNγ production by interfering
with the STAT4 pathway, STAT4 protein and phosphorylation were assessed by flow cytome-
try of MLN cells stimulated with Y. pseudotuberculosis. STAT4 phosphorylation was analyzed
6 hours after stimulation with WT, ΔYopB, or YopJC172A Y. pseudotuberculosis. Consistent
with suppression of IFNγ production and the RNA-Seq analysis, WT Y. pseudotuberculosis sig-
nificantly reduced the percentage of pSTAT4+ CD44hi CD27- γδ T cells as compared to ΔYopB
and YopJC172A Y. pseudotuberculosis (Fig 5A). However, STAT4 protein levels were the same
in all three infection conditions (WT, ΔYopB, and YopJC172A Y. pseudotuberculosis) (Fig 5B).
Flow cytometry antibodies for STAT4 protein were validated by comparing STAT4 from WT
and STAT4 KO splenocytes (S5D Fig). These data suggest that STAT4 phosphorylation but
not protein is decreased upon YopJ translocation. STAT4 phosphorylation was also evaluated
using the Yptb-βla reporter system described above. Among CD44hi CD27- γδ T cells, Yop-
cells had a higher percentage of pSTAT4+ cells compared to Yop+ cells suggesting intrinsic
Yop mediated inhibition of STAT4 phosphorylation levels (Fig 5C). Additionally, as STAT4
phosphorylation is downstream of IL-12 signaling, an anti-IL-12/23p40 subunit antibody
(anti-p40) was used to determine whether IL-12 signals in the environment regulated STAT4
phosphorylation after Y. pseudotuberculosis stimulation. Indeed, IL-12/23p40 neutralization
abrogated STAT4 phosphorylation levels regardless of Yop translocation (Fig 5C). As IL-12/
23p40 was required to elicit IFNγ production from adaptive Vγ4 T cells in the culture condi-
tions, we assessed whether YopJC172A Y. pseudotuberculosis stimulation modulated IL-12p70.
The concentration of IL-12p70 was comparable between WT and YopJC172A Y. pseudotubercu-
losis stimulated cultures (Fig 5D). Thus, changes in IL-12 were unlikely to contribute to adap-
tive Vγ4 T cell subversion in vitro. To understand the role of YopJ and IL-12 on Vγ1.1/2-
CD44hi CD27- γδ T cells in a more simplified system, purified γδ T cells were stimulated with
YopJC172A Y. pseudotuberculosis in the presence of excessive IL-12p70. Adaptive Vγ4 T cells
were unable to produce IFNγ in response to YopJC172A Y. pseudotuberculosis and IL-12p70
(S6A Fig). Finally, we assessed whether the addition of IL-12p70 could overcome the YopJ
mediated inhibition of IFNγ production after WT Y. pseudotuberculosis stimulation. While a
supraphysiologic level of IL-12p70 (50 ng/ml) was able to partially overcome YopJ mediated
inhibition, lower levels of IL-12p70 addition (2 and 10 ng/ml) were unable to overcome YopJ
mediated inhibition (S6B Fig). Importantly, these latter concentrations were orders of magni-
tude higher than those detected in our culture conditions. Thus, IL-12 is not sufficient to
induce IFNγ production from adaptive Vγ4 T cells. Collectively, these results suggest that Y.
pseudotuberculosis stimulation elicits IL-12 production to promote adaptive Vγ4 T cell IFNγ
responses, and that YopJ translocation into adaptive Vγ4 T cells inhibits IL-12 mediated
STAT4 phosphorylation.
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Fig 5. YopJ inhibits IL-12p40 mediated STAT4 phosphorylation. (A) MLN cell suspensions from L. monocytogenes infected mice were stimulated
with 10 MOI of WT, YopJC172A, or ΔYopB Y. pseudotuberculosis for 6 hours. Antibiotics were given 2 hours after stimulation. Vγ1.1/2- CD44hi CD27-
γδ T cells were analyzed for pSTAT4 after stimulation. Representative contour plots are displayed. The graph depicts mean ± SEM and represents at
least two independent experiments with 2–4 mice per group. (B) The same experimental setup was used as in (A), but Vγ1.1/2- CD44hi CD27- γδ T
cells were analyzed for STAT4 protein after stimulation. Representative plots for mean fluorescent intensity (MFI) are displayed. The graph depicts
mean ± SEM and represents two independent experiments with 2 mice per group. (C) MLN suspensions from L. monocytogenes infected mice were
either treated or untreated with IL-12/23p40 neutralizing antibody prior to stimulation with 1 MOI of WT Yptb-βla for 6 hours. Antibiotics were
given 2 hours post-stimulation. Vγ1.1/2- CD44hi CD27- γδ T cells were analyzed for pSTAT4 after stimulation. Representative contour plots are
displayed. The graph depicts mean ± SEM and represents at least two independent experiments with 2–4 mice per group. (D) MLN cell suspensions
from L. monocytogenes infected mice were stimulated with 10 MOI of WT or YopJC172A Y. pseudotuberculosis for 24 hours. Antibiotics were given 2
hours after stimulation. Supernatants were collected 24 hours post stimulation and IL-12p70 concentration was determined via ELISA.
����p < 0.0001, ���p < 0.001, ��p < 0.01, and �p < 0.05. A repeated measures one-way ANOVA was used for (A-C). Comparisons were performed to
WT Y. pseudotuberculosis in (A) and as depicted in (B-D).
https://doi.org/10.1371/journal.ppat.1010103.g005
Foodborne infection with YopJC172A Y. pseudotuberculosis induces IFNγ
production in adaptive Vγ4 T cells
To determine whether YopJ subverts adaptive γδ T cell function in vivo, foodborne infection
with WT and YopJC172A Y. pseudotuberculosis was performed on naïve Balb/c mice. As
YopJC172A Y. pseudotuberculosis is attenuated in vivo [82], a one log higher (2-4x108 CFU)
infection dose of YopJC172A Y. pseudotuberculosis was administered to normalize the internal
bacteria burdens in the MLN between infection groups (S7A Fig). While mice infected with
WT and YopJC172A Y. pseudotuberculosis lost a similar amount of weight, mice infected with
YopJC172A Y. pseudotuberculosis recovered slightly faster (Fig 6A). MLN were isolated 9 days
after infection to evaluate adaptive γδ T cell function. Consistent with the ex vivo stimulation
of L. monocytogenes-elicited Vγ4 T cells with Y. pseudotuberculosis, Vγ1.1/2- CD44hi CD27- γδ
T cells from the MLN of YopJC172A Y. pseudotuberculosis infected mice displayed enhanced
IFNγ production when stimulated ex vivo compared to their WT Y. pseudotuberculosis
infected counterparts (Fig 6B and 6C). When the same infectious doses were used for both
WT and YopJC172A Y. pseudotuberculosis (5x107 CFU), Vγ1.1/2- CD44hi CD27- γδ T cells from
the MLN of YopJC172A Y. pseudotuberculosis infected mice also displayed enhanced IFNγ
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Fig 6. Foodborne YopJC172A Y. pseudotuberculosis infection elicits an IFNγ response from Vγ4 T cells. (A-E) Balb/c mice were
foodborne infected with WT (2-4x107 CFU) or YopJC172A Y. pseudotuberculosis (2-4x108 CFU). (A) Mouse weight was assessed
daily after infection. (B and C) Nine days post infection, MLN were processed into single cell suspensions and stimulated with
PMA/ionomycin in the presence of brefeldin A for 4 hours. Vγ1.1/2- CD44hi CD27- γδ T cells were analyzed for IFNγ production.
Representative histograms are displayed. Graphs represent mean ± SEM and are pooled from 3 experiments with a total of 5–8 mice
per group. (D) Mouse survival was assessed daily after infection. anti-IL-12p40 antibody was administered at 0.2 mg/mouse on 0, 2,
4, and 6 days post infection. A Kaplan-Meier survival plot is shown. Study endpoint was 9 days post infection. The data represent 2
independent experiments with a total of 9 mice per group. (E and F) Balb/c mice were foodborne infected with 2x109 CFU L.
monocytogenes to elicit a Vγ1.1/2- CD44hi CD27- γδ T cell population in vivo. 30 days post infection, immunized mice were
foodborne infected with WT Yptb-βla (2-4x109 CFU) or left uninfected. (E) CFU of WT Yptb-βla were enumerated in MLN 3 days
post WT Yptb-βla infection. (F) Three days post foodborne WT Yptb-βla infection, Vγ1.1/2- CD44hi CD27- γδ T cells from the
MLN were analyzed for Yop translocation using the CCF4-AM assay. Representative contour plots are shown. Yop translocation
(Yop+) among the indicated populations is depicted as mean ± SEM and is pooled from 2 experiments with a total of 4 mice per
group. ���p < 0.001, ��p < 0.01, and �p < 0.05. A repeated measures one-way ANOVA was used for (A and F) and an unpaired t-
test was used for (B, C, and E). Experimental groups were compared to WT Y. pseudotuberculosis in (A-C), uninfected controls in
(E), and Vγ1.1/2- CD44hi CD27- γδ T cells in (F). A logrank test was used for survival curves in (D).
https://doi.org/10.1371/journal.ppat.1010103.g006
production compared to their WT Y. pseudotuberculosis infected counterparts (S7B Fig).
These experiments demonstrate that the increased IFNγ observed was not a result of a higher
infectious dose nor of a higher bacteria burden at the time of analysis. As IL-12/23p40 was
required for adaptive Vγ4 T cell IFNγ production in vitro (Fig 5), the impact of IL-12/23p40
was assessed in vivo. Naïve Balb/c mice were infected with WT or YopJC172A Y. pseudotubercu-
losis and treated with an IL-12/23p40 neutralizing antibody or isotype control. All YopJC172A
Y. pseudotuberculosis infected mice treated with anti-IL-12/23p40 succumbed by day 8 post
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PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
infection (Fig 6D). This data suggests that IL-12 promotes the protective capacity of catalyti-
cally inactive YopJ. Similarly, IL-12 contributed to the protection of mice infected with WT Y.
pseudotuberculosis. Serum was also collected on days 2, 4 and 6 after infection to assess circu-
lating IL-12p70 levels. IL-12p70 was detectable 6 days after YopJC172A Y. pseudotuberculosis
infection but was mostly below the limit of detection after WT Y. pseudotuberculosis infection
(Fig 6E). Collectively, these data suggest that IL-12 is important in the protection of mice
infected with WT or YopJC172A Y. pseudotuberculosis.
Foodborne infection with WT Yptb-βla was performed to determine whether Y. pseudotu-
berculosis could target adaptive Vγ4 T cells with Yop translocation in vivo. Balb/c mice were
foodborne infected with L. monocytogenes to elicit a population of Vγ1.1/2- CD44hi CD27- γδ
T cells as described previously [37,83]. After a return to homeostasis at 30 days post L. monocy-
togenes infection, mice were foodborne infected with WT Yptb-βla. Y. pseudotuberculosis bur-
den was assessed in the MLN 3 days post foodborne infection to determine whether WT Yptb-
βla could establish a productive infection where Vγ4 T cells reside. Indeed, infected mice con-
tained detectable Y. pseudotuberculosis in the MLN 3 days after foodborne infection (Fig 6F).
Analysis of the translocation of Yop into Vγ1.1/2- CD44hi CD27- γδ T cells, myeloid cells
(CD11b+), and CD4 and CD8 T cells was performed. Consistent with our in vitro observations,
Vγ1.1/2- CD44hi CD27- γδ T cells and myeloid cells contained translocated Yop in vivo (Fig
6G). Y. pseudotuberculosis was relatively inefficient at Yop translocation into CD4 and CD8 T
cells (Figs 6G and S7C). Collectively, these data show that foodborne YopJC172A Y. pseudotu-
berculosis infection of naïve mice elicits IFNγ production in adaptive γδ T cells and that Yop
can be translocated into adaptive Vγ4 T cells in vivo.
Discussion
In this study, we assessed the subversion of an adaptive subset of γδ T cells specialized in the
promotion of pathogen resistance at the intestinal mucosa through the production of anti-
infective cytokines like IFNγ and IL-17A [37]. While limited evidence suggests that Yop effec-
tors directly target T cells to subvert their function, we identified that the Y. pseudotuberculosis
effector molecule YopJ directly inhibits IFNγ production from adaptive CD44hi CD27- γδ T
cells to subvert host immunity in mice. Additionally, we demonstrate that circulating human
Vδ2+ T cells are similarly inhibited by direct translocation of YopJ, demonstrating that the
direct targeting of γδ T cells by Y. pseudotuberculosis to inhibit IFNγ production is a conserved
pathway of immune evasion in humans. Thus, Y. pseudotuberculosis Yop effectors translocated
into murine Vγ4 T cells and human Vδ2+ T cells directly subvert their anti-microbial functions
and host immunity by limiting IFNγ production.
While Yersinia mediated inhibition of conventional T cells has been previously reported,
studies have largely focused on the indirect subversion of T cells that is mediated by transloca-
tion of Yop effectors into myeloid cells [55,82]. For example, YopJ/P appears to primarily sub-
vert conventional T cell function through indirect mechanisms associated with inhibiting DC
[22,26]. On the contrary, the study of γδ T cells in the context of Y. pseudotuberculosis infection
has been primarily limited to the potential antigens that drive γδ T cell recognition of infection
[84–89].
After phagocytosis of pathogens, activated DC migrate to lymph nodes and present antigen
to T cells. APC-derived IL-12 further shapes T cell responses by providing a critical signal dur-
ing T cell activation [90]. Interestingly, Y. pestis can limit both the migratory capacity of DC
and the production of IL-12 [91], and Y. enterocolitica can induce programmed death of DC
and inhibit antigen presentation [22]. Y. pseudotuberculosis YopJ can also indirectly limit NK
cell function by interfering with DC TLR4 signaling pathways and YopP in Y. enterocolitica
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PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
can limit NK cell function through STAT4 inhibition [21,92]. Given that IL-12 signaling pro-
motes STAT4 phosphorylation and IFNγ production in γδ T cells [29,93] and Yersinia spp. can
inhibit DC, a potential extrinsic mechanism emerges for Y. pseudotuberculosis to inhibit γδ T
cell responses by suppressing DC functions. In line with these observations, IL-12p40 was criti-
cal for the induction of phospho-STAT4 in Vγ4 T cells after stimulation with Y. pseudotuber-
culosis in in vitro cultures. In contrast, Y. pseudotuberculosis and IL-12 were unable to directly
elicit IFNγ production from a highly enriched population of in vitro expanded γδ T cells sug-
gesting that IL-12 is required but not sufficient for Vγ4 T cell IFNγ production. However,
stimulation of MLN cell suspensions with ΔYopB or YopJC127A Y. pseudotuberculosis elicited
STAT4 phosphorylation among Vγ4 T cells suggesting that translocation of Yop effectors and
YopJ in particular subverts Vγ4 T cell function. Tracking Yop translocation in vitro revealed
that Vγ4 T cells that contain Yop had reduced pSTAT4 levels and inhibited IFNγ production.
Importantly, Vγ4 T cells that did not contain Yop effectors from the same cultures expressed
higher pSTAT4 levels and comparable IFNγ production as Vγ4 T cells stimulated with
ΔYopB-βla Yptb. Additionally, IL-12 levels were comparable between cultures stimulated with
WT and YopJC172A Y. pseudotuberculosis. Collectively, these data suggest that functional
impairment of Vγ4 T cells was mediated by direct translocation of YopJ into Vγ4 T cells and
cell intrinsic mechanisms in vitro.
The YopJ effector family has been increasingly described by their acetyltransferase function
on serine, threonine, and lysine amino acid residues [19,94]. Serine and threonine are com-
mon targets of phosphorylation to propagate signaling cascades or elicit functional conse-
quences. For example, phosphorylation of STAT4 leads to dimerization and transport to the
nucleus to promote transcription of STAT4 target genes. Acetylation of these target residues
may inhibit phosphorylation and downstream signaling events [70]. Thus, a potential mecha-
nism of YopJ subversion of Vγ4 T cells is through acetylation of STAT4 to inhibit the phos-
phorylation or dimerization of STAT4. Other potential targets of YopJ acetyltransferase
activity are the IL-12R and Janus kinases upstream of STAT4 activation. YopJ has also been
reported to have cysteine protease, lysine acetyltransferase, ubiquitin-like protein protease,
and deubiquitinase activity that may provide other potential avenues for YopJ to modulate the
function of Vγ4 T cells through STAT4 [94–96].
An important aspect of Y. pseudotuberculosis pathogenesis unveiled by this work is the pref-
erential targeting of a specialized subset of γδ T cells for delivery of inhibitory Yop effector
molecules. Y. pseudotuberculosis injected Yop effectors into adaptive γδ T cells in a similar pro-
portion as macrophages and DC and to a much greater extent than conventional CD4 or CD8
T cells. Of note, Y. pseudotuberculosis has been reported to translocate Yop effectors more effi-
ciently into Treg cells than conventional CD4 T cells at high MOI to modulate their function
[65]. The preferential targeting of Vγ4 T cells in this system is associated with expression of the
β1-integrin by adaptive Vγ4 T cells. Additionally, the majority of adaptive Vγ4 T cells are
anatomically segregated from conventional T cells in the paracortex by their localization in the
interfollicular and medullary areas of the gut draining lymph nodes [38]. The distinct localiza-
tion of adaptive Vγ4 T cells may facilitate interactions with Y. pseudotuberculosis in vivo. Loss
of the adhesin YadA but not Inv abrogated YopJ mediated γδ T cell inhibition, suggesting that
Y. pseudotuberculosis utilizes YadA to target adaptive γδ T cells for Yop translocation, consis-
tent with previous studies suggesting that the adhesin Inv is largely dispensable for Y. enteroco-
litica virulence [61,97]. Interestingly, this appears distinct from the targeting of conventional
CD4 T cells that relies on Inv and is enhanced in the absence of YadA [11,65].
While our data demonstrates that STAT4 phosphorylation is inhibited by YopJ, our RNA-
Seq analysis suggests that other targets may also be affected. One of YopJ’s known targets is the
MAPK family of proteins that can have broad effects on cell proliferation, differentiation,
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PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
survival, and apoptosis [18]. The MAPK pathway in CD4 T cells and NK cells may also pro-
mote STAT4 activity and downstream IFNγ mRNA stabilization, respectively [98,99]. Our
data demonstrate a broad impact of YopJ on adaptive γδ T cell proliferation, metabolism, cell
cycle, RNA/DNA processing, and ER/Golgi processing gene expression networks. These path-
ways may be regulated by MAPK family member activity [100–105]. Homer motif analysis
identified other potential means by which YopJ may regulate IFNγ production. For example,
Ets-1 is a T-bet cofactor and necessary for Th1 IFNγ responses [106]. Increases in ETS-domain
family of transcription factor motifs were associated with type 3 innate lymphoid cells (ILC3)
but not Th17 cells [107], which may suggest that one of the potential mechanisms of YopJ
mediated inhibition may target conserved pathways in unconventional lymphocyte popula-
tions. Many NK cell receptors are also expressed on γδ T cells and may facilitate TCR indepen-
dent effector functions [108–110]. In line with this, our profiling demonstrates that YopJ
limits gene expression of Nkg7, which has recently been reported to promote cytotoxic granule
release and inflammation during infection and cancer [72], and Prf1, which encodes the pore
forming molecule perforin necessary to deliver lytic machinery into target cells [111]. Finally,
interactions with Y. pseudotuberculosis YopJ led to the upregulation of Ulbp1, which encodes a
stress-induced NKG2D ligand, and Idi1, which encodes an enzyme in the mevalonate pathway.
As human γδ T cells respond to phospho-antigens derived from the non-mevalonate pathway
in bacteria and mammalian mevalonate pathway in humans [112], this may limit the removal
of translocated cells through NK or γδ T cell sensing mechanisms and suggests a broad mecha-
nism to subvert human immunity. Thus, our findings suggest that adaptive Vγ4 T cells provide
dynamic anti-infectious immunity that is subverted by direct translocation of YopJ.
A number of studies have highlighted the importance of IFNγ production from conven-
tional CD4 and CD8 T cells, NK cells, and ILC3 for Yersinia resistance [40,43,113,114],
although the in vivo relevance of Yop inhibition of conventional T cells has not been
addressed. Foodborne infection with YopJC172A Y. pseudotuberculosis led to an enhanced
response from Vγ4 T cells, including increased IFNγ production, that was associated with a
more rapid recovery of weight. As IL-12 was critical for Vγ4 T cell derived IFNγ production in
vitro, the role of IL-12 after foodborne infection of Balb/c mice was assessed. Consistent with
previous studies [22,40,115,116], IL-12 appeared critical for protection against foodborne WT
and YopJC172A Y. pseudotuberculosis infection. As serum IL-12 was only readily detectable
after YopJC172A Y. pseudotuberculosis infection, increased IL-12 may also contribute to the
enhanced IFNγ response from Vγ4 T cells in vivo. Finally, assessment of cell populations tar-
geted for Yop translocation in vivo was comparable to the results from the ex vivo MLN cul-
tures. The highest percentage of Yop+ cells were among CD11b+ cells and Vγ4 T cells. Given
the low MOI used in our ex vivo studies with the WT Yptb-βla reporter and the lack of inhibi-
tion observed in Vγ4 T cells that lack Yop effectors from the same culture conditions, it is
likely that intrinsic Yop effects on Vγ4 T cells is a mechanism of inhibiting Vγ4 T cell function
in vivo. Thus, while Y. pseudotuberculosis can use γδ T cell intrinsic mechanisms to subvert the
γδ T cell IFNγ response, multiple mechanisms may be available for Yersinia spp. to subvert γδ
T cell functions to aid pathogenesis in vivo. As we previously demonstrated that foodborne but
not i.v. infection led to adaptive Vγ4 T cell responses [37], our physiologic foodborne Y.
pseudotuberculosis infection model revealed novel aspects of Yersinia pathogenesis and adap-
tive Vγ4 T cell biology.
In summary, the Y. pseudotuberculosis effector YopJ directly inhibits essential anti-effective
functions of murine Vγ4 T cells and human Vδ2+ T cells. Y. pseudotuberculosis targeted Vγ4 T
cells in a T3SS- and YadA-dependent process to deliver Yop effectors directly into Vγ4 T cells.
Ex vivo whole tissue cultures revealed that direct inhibition of Vγ4 T cell function was the
major mechanism of Vγ4 T cell subversion. YopJ translocation led to a dramatic reduction in
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PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
STAT4 phosphorylation levels and IFNγ production, which is important for protection from
Yersinia. YopJ also inhibited a broad anti-infective gene signature. Thus, these findings add
substantial insight into YopJ effector functions on murine and human γδ T cells and the patho-
genesis of foodborne Y. pseudotuberculosis infection.
Materials and methods
Ethics statement
All animal experiments were conducted in accordance with the Stony Brook University Insti-
tutional Animal Care and Use Committee and National Institutes of Health guidelines. Blood
collection from healthy human donors was approved by the Institutional Review Board at
Stony Brook University.
Mice
Female 8–12 week old BALB/cJ mice were purchased from the Jackson Laboratory. Mice were
euthanized by CO2 inhalation.
Human studies
Blood was sampled from a total of 6 adult healthy human donors of either gender between the
ages of 20 and 40. Studies were designed so no randomization to experimental groups was nec-
essary. Donors provided written informed consent.
Bacteria
Bacteria strains used in this study include: Y. pseudotuberculosis on the 32777 background WT
strain, WT32777c, YopJC172A, YopHR409A, ΔYopB, YopER144A, YopTC139A, ΔYopM, ΔYpkA,
ΔYopK, WT Yptb-βla, and ΔYopB Yptb-βla. Y. pseudotuberculosis on the IP2666 background
WT strain, ΔYopB, ΔInv, ΔYadA, ΔInv ΔYadA, and ΔYopB ΔInv ΔYadA. See Table 1 for
details. All strains were stored in 25% glycerol stocks at -80˚C. For stimulations, Y. pseudotu-
berculosis strains were cultured overnight at 28˚C and 220 RPM in LB media. The following
morning, Y. pseudotuberculosis was sub-cultured 1:10 in LB and 50 mM CaCl2 at 37˚C and 220
RPM for approximately 2 hours. Stimulation doses were based on the OD600.
Foodborne L. monocytogenes immunization
L. monocytogenes (EGDe strain) expressing a mutation in the internalin A gene (InlAM) was
used for foodborne infection to facilitate epithelial cell invasion [117]. InlAM L. monocytogenes
was cultured overnight at 37˚C and 220 RPM in BHI media. The following morning, L. mono-
cytogenes was sub-cultured 1:10 in BHI at 37˚C and 220 RPM for approximately 2 hours. Infec-
tion doses were based on the OD600. Mice were food and water deprived for 4 hours.
Approximately 0.5 cm3 bread pieces were inoculated with 2x109 CFU L. monocytogenes in
50 μL. Mice were monitored to ensure the inoculated bread was consumed within 1 hour.
Mice that did not fully consume bread were removed from the study. Bacterial infection doses
were confirmed by plating inoculum on BHI.
Foodborne Y. pseudotuberculosis infection
Y. pseudotuberculosis strains (Table 1) were cultured overnight at 28˚C and 220 RPM in LB
media. Infection doses were based on the OD600. Mice were food and water deprived for 4
hours. Approximately 0.5 cm3 bread pieces were inoculated with 2-4x107 CFU for WT32777
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PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
Y. pseudotuberculosis, 2-4x107–2-4x108 CFU for YopJC172A Y. pseudotuberculosis, or 2x109
CFU for WT Yptb-βla infection in 50 μL. Mice were monitored to ensure the inoculated bread
was consumed within 1 hour. Mice that did not fully consume bread were removed from the
study. Bacterial infection doses were confirmed by plating inoculum on LB.
Single cell preparations, Y. pseudotuberculosis stimulations, and flow
cytometry
MLN from L. monocytogenes immunized mice were harvested 9 days after immunization and
mechanically dissociated using a syringe plunger through a 70 μm cell strainer into a single
cell suspension. Cells were resuspended in IMDM (Gibco) supplemented with 10% fetal
bovine serum, 0.01 M HEPES, 100 μM non-essential amino acids (Gibco), 2 mM L-alanyl-L-
glutamine dipeptide in 0.85% NaCl or 1x Glutamax (Gibco), and 1 mM sodium pyruvate.
Cells were counted using a Vi-CELL Viability Analyzer (Beckman Coulter). Cells were stimu-
lated in 96 well round-bottom tissue culture treated plates with various strains of Y. pseudotu-
berculosis at 1 or 10 MOI (1 MOI for WT or ΔYopB Yptb-βla and 10 MOI for all other Y.
pseudotuberculosis stimulations, unless otherwise indicated) at 37˚C/5% CO2. 100 U/mL of
penicillin and 100 μg/mL of streptomycin were added to cells 2 hours post-stimulation. Cells
were stimulated for a total of 24 hours or as indicated. BD GolgiPlug (BD Biosciences) was
added 5 hours prior to the end of stimulation. If translocation was assessed, β-lactamase Load-
ing Solutions kit (Invitrogen) was used to load CCF4-AM by incubating CCF4-AM at RT with
cells for 1 hour in the dark. Cells were then processed for surface staining via incubation with
live/dead stain, antibody, and Fc block (BioXcell) for 20 min in the dark at 4˚C. Antibodies
used included antibodies specific to CD45, CD3, TCRδ, CD8, CD4, Vγ1.1, Vγ2, CD44, CD27,
F4/80, CD11b, MHCII, CD11c, and CD29 (BioLegend). Cells were fixed, permeabilized, and
stained with anti-IFNγ, anti-IRF8, or anti-STAT4 using BD Cytofix/Cytoperm kit (BD Biosci-
ences) for intracellular cytokine staining. Functional γδ T cell analysis was done by stimulation
with BD leukocyte activation cocktail (containing PMA, ionomycin, and brefeldin A; BD
Pharmingen) for 4 hours prior to staining. Flow cytometry data were acquired using a BD
LSRFortessa and analyzed by FlowJo software (BD Biosciences). Cell culture supernatant was
analyzed for IL-12p70 using the BioLegend ELISA MAX Deluxe Set Mouse IL-12 (p70) kit per
manufacturer instructions.
Human γδ T cell response
Blood was drawn and collected from healthy human donors in BD Vacutainer sodium heparin
tubes (BD Biosciences). Blood was diluted 1:1 with 1x PBS at room temperature. Peripheral
blood mononuclear cells (PBMC) were isolated from the buffy coat of Ficoll-paque PLUS gra-
dient centrifugation (GE Healthcare) for 20 min at 1,400 × g without a brake. PBMC were
washed with 1x PBS at room temperature and resuspended in IMDM supplemented with 10%
fetal bovine serum, 0.01 M HEPES, 100 μM Non-essential amino acids (Gibco), 2 mM L-ala-
nyl-L-glutamine dipeptide in 0.85% NaCl or 1x Glutamax (Gibco), and 1 mM sodium pyru-
vate. Y. pseudotuberculosis strains were cultured overnight at 28˚C and 220 RPM in LB media
the night prior. The following morning, Y. pseudotuberculosis was sub-cultured 1:10 in LB and
50 mM CaCl2 at 37˚C and 220 RPM for approximately 2 hours. Stimulation doses were based
on the OD600. Cells were counted using a Vi-CELL Viability Analyzer (Beckman Coulter).
Cells were stimulated in 96 round-bottom tissue culture treated plates with various strains of
Y. pseudotuberculosis at 1 MOI at 37˚C/5% CO2. 1x penicillin and streptomycin (100 U/mL
penicillin and 100 μg/mL streptomycin) were added to cells 2 hours post-stimulation. Cells
were stimulated for a total of 24 hours or as indicated. BD GolgiPlug (BD Biosciences) was
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PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
added 5 hours prior to the end of stimulation. If translocation was assessed, β-lactamase Load-
ing Solutions kit (Invitrogen) was used to load CCF4-AM by incubating CCF4-AM at RT with
cells for 1 hour in the dark. Cells were then processed for surface staining via incubation with
live/dead stain, antibody, and Fc block (BioXcell) for 20 min in the dark at 4˚C. Antibodies
used included antibodies specific to Vδ2, CD3, TCRδ, (BioLegend). Cells were fixed, permea-
bilized, and stained with anti-IFNγ using BD Cytofix/Cytoperm kit (BD Biosciences) for intra-
cellular cytokine staining. Flow cytometry data were acquired using a BD LSRFortessa and
analyzed by FlowJo software (BD Biosciences).
Phospho-flow cytometry
After surface staining for flow cytometry, cells were washed and stained for pSTAT4 using a
methanol-based approach. Cells were fixed in 4% PFA/1.5% methanol for 30 minutes in the
dark at 4˚C. Cells were then washed and incubated in methanol in the dark at 20˚C for 45 min-
utes. After washing, cells were stained with anti-pSTAT4 (Y693)-PE (BD Biosciences) and
washed once more. Flow cytometry data were acquired using a BD LSRFortessa and analyzed
by FlowJo software (BD Biosciences).
Enumeration of Y. pseudotuberculosis burden
MLN were crushed and diluted in media prior to plating on LB agar. Total Y. pseudotuberculo-
sis burden per organ was calculated.
Sequencing and analysis
Samples were prepared after Y. pseudotuberculosis stimulation as described above. Cell prepa-
rations were stimulated with 10 MOI of WT or YopJC172A Y. pseudotuberculosis or 1 MOI of
WT Yptb-βla for 24 hours. 500 Vγ1.1/2- CD44hi CD27- γδ T cells were flow sorted directly into
a tube with NEBNext Cell Lysis Buffer and Murine RNase Inhibitor and processed for RNA
sequencing using NEBNext Single Cell/Low Input RNA Library Prep Kit (Illumina). Sequenc-
ing was performed at the Cold Spring Harbor Laboratory sequencing core on a NextSeq500.
Fastq files were produced as an output of the sequencing files. Fastq were run through FastQC
to perform quality control of transcripts prior to alignment. Fastq files were pair-ended aligned
to GRCm38/mm10 by way of HISAT2 and output as .BAM files [118]. Raw counts of aligned
transcripts were quantified with FeatureCounts [119]. Dimensionality reduction was per-
formed with PCA analysis with the axes PC1 and PC2 in R-studio [120]. To determine differ-
ential expression between samples, FeatureCounts raw count matrix was analyzed through
DESeq2 with a parametric fitting normalized to the geometric mean of each individual gene
across samples [121]. Cutoff values for significance and quality control were a p-value of <0.05
and FDR-value of <0.10, respectively. Significantly differentially expressed genes were visual-
ized on a heatmap with a dendrogram that was clustered through average linkage. The distance
measurement on the dendrogram used was through the Euclidean method. Overlapping
expressions between gene differential expression sets were filtered with R-studio. Upregulated
and downregulated genes from the differential expression analysis were separated with R-stu-
dio and these Gene IDs were used for HOMER motif analysis [74]. Parameters of analysis of
each gene used were 400bp preceding the initiation site and 100bp after the initiation site. The
length of the motifs analyzed was set between 8 and 10.
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PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
γδ T cell purification
γδ T cells were expanded in vitro according to published protocols [122]. The MLN and spleen
were isolated and processed into a single cell suspension 9 days post foodborne L. monocyto-
genes infection of Balb/c mice. Red blood cells were lysed with red blood cell lysis buffer or
ammonium chloride for 1 minute and cells from the MLN and spleen were combined. γδ T
cells were enriched by negative selection using the following rat IgG primary antibodies from
BioLegend: anti-CD4 (clone GK1.5), anti-CD8α (clone 53–6.7), anti-B220 (clone RA3-6B2),
anti-MHC-II (clone M5/114.15.2), and anti-CD11b (clone M1/70). The MACS goat anti-rat
IgG kit (Miltenyi Biotec) was used per manufacturer instructions with MACS LD columns
and a QuadroMACS magnet. Enriched cells were cultured in 48-well plates coated overnight
with 5 ug/ml anti-TCRδ (clone GL3). Cells were cultured in RPMI 1640 supplemented with 25
mM HEPES (Gibco), 1x glucose (Gibco), 10 g/ml folate (Sigma Aldrich), 1x sodium pyruvate
(Gibco), 5x105 M 2 beta-mercaptoethanol (Sigma Aldrich), 1x Glutamax (Gibco), 1x penicil-
lin-streptomycin (Gibco), and 10% FBS with 100 U/ml recombinant human IL-2. After 2 days
of culture, cells were transferred into new wells with the same culture media to rest for 5 days.
Cells were then stimulated with 10 MOI YopJC172A Y. pseudotuberculosis with 0.1, 1, or 10 ng/
ml of recombinant murine IL-12p70 (Peprotech).
In vivo anti-IL-12p40 antibody treatment and serum collection
On the day of foodborne WT or YopJC172A Y. pseudotuberculosis infection and on day 2, 4,
and 6 after infection, mice were treated with 0.2 mg of anti-IL-12p40 (clone C17.8; BioLegend)
by i.p. injection. Blood was collected via tail vein on day 2, 4, and 6 after infection. Blood was
incubated at ambient temperature for 30 minutes before being spun down at 1500G for 10
minutes at 4˚C. Serum was isolated and analyzed for IL-12p70 with the BioLegend ELISA
MAX Deluxe Set Mouse IL-12 (p70) kit.
Ex vivo anti-IL-12p40 and recombinant IL-12p70 treatments
At the start of Y. pseudotuberculosis stimulation of MLN cell suspensions, cultures were treated
with 10 μg/ml anti-IL-12p40 (clone C17.8; BioLegend) for neutralization. In other conditions,
recombinant murine IL-12p70 (Peprotech) was added at the start of Y. pseudotuberculosis
stimulation of MLN cell suspensions at 2, 10, or 50 ng/ml.
Statistical analysis
GraphPad Prism 6 software (GraphPad Software Inc.) was used for statistical analysis. The dif-
ferences between the means were compared using the statistical analysis described in the asso-
ciated figure legends. All the data are presented as mean ± SEM and p < 0.05 was considered
significant. �p < 0.05, ��p < 0.01, ���p < 0.001, ����p < 0.0001.
Supporting information
S1 Data. Excel spreadsheet containing the underlying numerical data for Figs 1A–1C, 2A
and 2B, 3A, 5A–5D and 6A–6F.
(XLSX)
S1 Fig. Use of the Yptb-βla reporter to track Yop translocation. (A) MLN suspensions from
L. monocytogenes infected mice were stimulated with WT or ΔYopB Y. pseudotuberculosis con-
taining a β-lactamase translocation reporter (Yptb-βla) for 2 hours and given antibiotics. Cells
were loaded with CCF4-AM dye to measure β-lactamase activity. FITC indicates CCF4-AM
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PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
loaded cells without translocation (Yop-) and BV421 indicates CCF4-AM loaded cells with
Yop translocation (Yop+). Vγ1.1/2- CD44hi CD27- γδ T cells were analyzed for Yop transloca-
tion 2 hours post stimulation at an MOI of 10. Representative contour plots are displayed. (B)
MLN from L. monocytogenes infected mice were stimulated with Yptb-βla for 2 hours and
given antibiotics. Yop translocation was detected as described above. The indicated cell popu-
lations were analyzed for Yop translocation 2 hours after stimulation. Representative contour
plots are displayed. (C) MLN from L. monocytogenes infected mice were stimulated with Yptb-
βla for 2 hours and given antibiotics. Vγ1.1/2- CD44hi CD27- γδ T cells were analyzed for Yop
translocation 2 hours post stimulation at the indicated MOI and quantified for Yop transloca-
tion. Data consists of one experiment with 2–10 mice/group and the graphs depict the
mean ± SEM in (A-C). ����p < 0.0001, ���p < 0.001, and ��p < 0.01. A t-test was used for (A),
and a repeated measures one-way ANOVA was used for (C). Comparisons were performed to
ΔYopB Y. pseudotuberculosis in (A) and as depicted in (C).
(TIF)
S2 Fig. The majority of Vγ1.1/2- CD44hi CD27- γδ T cells and γδ T cells containing Yop
express β1-integrin. (A) MLN from L. monocytogenes infected mice were isolated and pro-
cessed into single cell suspensions. Vγ1.1/2- CD44hi CD27- γδ T cells, CD4 T cells, and CD8 T
cells were analyzed for β1-integrin expression. (B) MLN suspensions from L. monocytogenes
infected mice were loaded with CCF4-AM dye and stimulated with 10 MOI WT Y. pseudotu-
berculosis containing a β-lactamase translocation reporter. CCF4-AM dye reports the occur-
rence of β-lactamase activity and Yop translocation. γδ T cells that contain Yop (Yop+) or do
not contain Yop (Yop-) were analyzed for β1-integrin expression 2 hours after stimulation.
Representative histogram plots are displayed. Data is pooled from two experiments with a total
of 7 mice/group and the graphs depict the mean ± SEM in (A-C). ����p < 0.0001 and
���p < 0.001. A repeated measures one-way ANOVA was used for (A) and a t-test was used
for (B), and. Comparisons were done to adaptive γδ T cells in (A) and as depicted in (B).
(TIF)
S3 Fig. YopJ regulates the transcriptional profile of Vγ1.1/2- CD44hi CD27- γδ T cells. (A
and B) MLN from L. monocytogenes infected mice were stimulated with 10 MOI of WT Y.
pseudotuberculosis (WT) or mutant YopJ Y. pseudotuberculosis (YopJC172A) for 24 hours. Anti-
biotics were given 2 hours post-stimulation. Five hundred Vγ1.1/2- CD44hi CD27- γδ T cells
from each stimulation were flow sorted and processed for RNA sequencing. The heat map
depicts upregulated genes in Vγ1.1/2- CD44hi CD27- γδ T cells after YopJC172A Y. pseudotuber-
culosis stimulation and individual genes are listed. (C-E) Genes differentially expressed (down-
regulated) that overlapped between RNA sequencing analyses as displayed in the Venn
diagram in (C) to select for direct effects of YopJ on Vγ1.1/2- CD44hi CD27- γδ T cells. The
heat map depicts downregulated genes in Vγ1.1/2- CD44hi CD27- γδ T cells from the analysis
in (C). Individual genes are listed in (E). Each experiment was performed once with biologic
replicates. The cutoff for gene significance was p < 0.05 and FDR < 0.10.
(TIF)
S4 Fig. YopJ does not inhibit IL-17A production in Vγ1.1/2- CD44hi CD27- γδ T cells.
MLN cell suspensions from L. monocytogenes infected mice were stimulated with 10 MOI of
WT, YopJC172A, or ΔYopB Y. pseudotuberculosis for 24 hours. Antibiotics were given 2 hours
after stimulation and brefeldin A was added for the last 5–6 hours. Vγ1.1/2- CD44hi CD27- γδ
T cells were analyzed for IL-17A production after stimulation. Representative histograms are
displayed. The graph depicts mean ± SEM and represents two independent experiments with
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1010103 December 6, 2021
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PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
4 mice per group. A repeated measures one-way ANOVA was used. � p < 0.05.
(TIF)
S5 Fig. YopJ impacts IFNγ related transcription factor motifs but not STAT4 protein. (A)
Homer motif analysis was performed on the RNA sequencing results for the YopJC172A and
WT Y. pseudotuberculosis comparison from Fig 5. The panel highlights the top transcription
factor motifs of the ETS, SP/KLF, and IRF family of proteins identified in YopJC172A stimulated
Vγ1.1/2- CD44hi CD27- γδ T cells. (B) MLN from L. monocytogenes infected mice were stimu-
lated with 10 MOI of WT, YopJC172A, or ΔYopB Y. pseudotuberculosis for 6 hours. Antibiotics
were given 2 hours post-stimulation. Vγ1.1/2- CD44hi CD27- γδ T cells were analyzed for IRF8
levels with or without anti-IL12p40 neutralizing antibody. The graph depicts the percentage of
IRF8 protein expression among Vγ1.1/2- CD44hi CD27- γδ T cells after WT, YopJC172A, or
ΔYopB Y. pseudotuberculosis stimulation. Data depict two pooled experiments with a total of 8
mice/group and represents the mean ± SEM. (C) The genes from the RNAseq and Homer
motif analysis in Figs 4F and 4G and S3B and S5A were compared to an existing STAT4 ChIP-
on-chip dataset to identify common genes. Genes from our dataset that were represented in
the top 1000 genes of the Chip-on-chip dataset are displayed. (D) STAT4 KO spleens are
shown in maroon and WT spleens are shown in black in representative histograms. The graph
depicts the MFI of STAT4 protein expression in bulk γδ T cells. Data depicts one experiment
with 4 mice/group and represents the mean ± SEM. ����p < 0.0001, ���p < 0.001, ��p < 0.01,
�p < 0.05. A repeated measures one-way ANOVA was used for (B), and a t-test was used for
(D). Comparisons were performed as depicted in (B) and to Naïve WT in (D).
(TIF)
S6 Fig. IL-12 is insufficient to induce IFNγ and does not readily overcome the inhibition of
YopJ. (A) γδ T cells enriched from the MLN and spleen of L. monocytogenes infected mice
were expanded with plate bound γδTCR antibody for 2 days and rested for 5 days. After
expansion, ~ 50% of cells were γδ T cells, and the majority of those were Vγ4 T cells. The
enrichment summary reflects the mean enrichment from 4 samples. Afterwards, γδ T cells
were isolated from cultures and stimulated with YopJC172A Y. pseudotuberculosis with 0.1, 1, or
10 ng/ml IL-12p70 for 24 hours. Antibiotics were added 2 hours after stimulation and brefel-
din A was added for the last 5–6 hours. Histograms display IFNγ production from Vγ1.1/2-
CD44hi CD27- γδ T cells under different culture conditions. Data depicts one experiment with
4 mice pooled and split into the indicated stimulation conditions. (B) MLN cell suspensions
from L. monocytogenes infected mice were stimulated with 10 MOI of WT Y. pseudotuberculo-
sis in the presence of 2, 10, or 50 ng/ml IL-12p70 or 10 MOI of YopJC172A Y. pseudotuberculosis
for 24 hours. Antibiotics were given 2 hours after stimulation and brefeldin A was added for
the last 5–6 hours. Vγ1.1/2- CD44hi CD27- γδ T cells were analyzed for IFNγ production. Rep-
resentative histograms of IFNγ production from Vγ1.1/2- CD44hi CD27- γδ T cells are dis-
played. The graph depicts mean ± SEM from one experiment with 4 mice per group �p < 0.05.
A repeated measures one-way ANOVA was used for comparisons to YopJC172A Y. pseudotu-
berculosis in (B).
(TIF)
S7 Fig. The impact of foodborne infection of mice with Y. pseudotuberculosis. (A) Balb/c
mice were foodborne infected with the indicated doses of WT or mutant YopJC172A Y. pseudo-
tuberculosis and tissues were analyzed 9 days post-infection. Bacteria burden was quantified
from the MLN. Data reflect 3–5 mice per group pooled from 3 independent experiments and
the graphs depict the mean ± SEM. (B) Balb/c mice were foodborne infected with the indicated
doses of WT or mutant YopJC172A Y. pseudotuberculosis. Nine days post infection, MLN
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1010103 December 6, 2021
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PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
suspensions from WT or YopJC172A Y. pseudotuberculosis infected mice were stimulated with
PMA/ionomycin and brefeldin A for 4 hours. Vγ1.1/2- CD44hi CD27- γδ T cells were analyzed
for IFNγ production. Representative histograms are displayed and quantified. Data depicts
one experiment with 3 mice per group. (C) Balb/c mice were foodborne infected with WT (2-
4x107 CFU) or YopJC172A Y. pseudotuberculosis (2-4x108 CFU) and treated with 0.2 mg/mouse
of anti-IL12p40 on days 0, 2, 4, and 6 post infection. IL-12p70 concentrations were determined
from serum at days 2, 4, and 6 post infection. Data represent 2 independent experiments with
a total of 9 mice per group. Serum samples were pooled into groups of 3 per experimental con-
dition. (D) Balb/c mice were foodborne infected with 2x109 CFU L. monocytogenes to elicit a
Vγ1.1/2- CD44hi CD27- γδ T cell population in vivo. 30 days post infection, adaptive Vγ1.1/2-
CD44hi CD27- γδ T cells from the MLN of immune mice were analyzed for Yop translocation
using the CCF4-AM assay. Representative contour plots are shown. Yop translocation (Yop+)
among the indicated populations represents background staining as a negative control for Fig
6F. The graph depicts the mean ± SEM and is pooled from 2 experiments with a total of 4 mice
per group. ����p < 0.0001, �p < 0.05. A one-way ANOVA was used for (A), and an unpaired
t-test was used for (B). Comparisons were performed to uninfected in (A) and to 5x107 WT Y.
pseudotuberculosis in (B).
(TIF)
Author Contributions
Conceptualization: Timothy H. Chu, Camille Khairallah, James B. Bliska, Brian S. Sheridan.
Data curation: Timothy H. Chu, Camille Khairallah, Jason Shieh.
Formal analysis: Timothy H. Chu, Camille Khairallah, Jason Shieh.
Funding acquisition: Brian S. Sheridan.
Investigation: Timothy H. Chu, Camille Khairallah, Rhea Cho, Zhijuan Qiu.
Methodology: Timothy H. Chu, Camille Khairallah, Yue Zhang, Onur Eskiocak, Semir Beyaz,
Brian S. Sheridan.
Project administration: Brian S. Sheridan.
Resources: David G. Thanassi, Mark H. Kaplan, Semir Beyaz, Vincent W. Yang, James B.
Bliska.
Supervision: Brian S. Sheridan.
Validation: Timothy H. Chu.
Visualization: Timothy H. Chu, Brian S. Sheridan.
Writing – original draft: Timothy H. Chu.
Writing – review & editing: Timothy H. Chu, Camille Khairallah, David G. Thanassi, James
B. Bliska, Brian S. Sheridan.
References
1. Barnes PD, Bergman MA, Mecsas J, Isberg RR. Yersinia pseudotuberculosis disseminates directly
from a replicating bacterial pool in the intestine. J Exp Med. 2006; 203(6):1591–601. Epub 2006/06/07.
https://doi.org/10.1084/jem.20060905 PMID: 16754724; PubMed Central PMCID: PMC2118325.
2. Autenrieth IB, Kempf V, Sprinz T, Preger S, Schnell A. Defense mechanisms in Peyer’s patches and
mesenteric lymph nodes against Yersinia enterocolitica involve integrins and cytokines. Infect Immun.
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1010103 December 6, 2021
22 / 29
PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
1996; 64(4):1357–68. Epub 1996/04/01. https://doi.org/10.1128/iai.64.4.1357-1368.1996 PMID:
8606101; PubMed Central PMCID: PMC173926.
3.
Titball RW, Leary SE. Plague. Br Med Bull. 1998; 54(3):625–33. Epub 1999/05/18. https://doi.org/10.
1093/oxfordjournals.bmb.a011715 PMID: 10326289.
4. Hinnebusch BJ. Bubonic plague: a molecular genetic case history of the emergence of an infectious
disease. J Mol Med (Berl). 1997; 75(9):645–52. Epub 1997/11/14. https://doi.org/10.1007/
s001090050148 PMID: 9351703.
5.
6.
Titball RW, Williamson ED. Vaccination against bubonic and pneumonic plague. Vaccine. 2001; 19
(30):4175–84. Epub 2001/07/18. https://doi.org/10.1016/s0264-410x(01)00163-3 PMID: 11457543.
Inglesby TV, Dennis DT, Henderson DA, Bartlett JG, Ascher MS, Eitzen E, et al. Plague as a biological
weapon: medical and public health management. Working Group on Civilian Biodefense. JAMA. 2000;
283(17):2281–90. Epub 2000/05/12. https://doi.org/10.1001/jama.283.17.2281 PMID: 10807389.
7. Nakajima R, Brubaker RR. Association between virulence of Yersinia pestis and suppression of
gamma interferon and tumor necrosis factor alpha. Infect Immun. 1993; 61(1):23–31. Epub 1993/01/01.
https://doi.org/10.1128/iai.61.1.23-31.1993 PMID: 8418045; PubMed Central PMCID: PMC302683.
8. Cornelis GR, Boland A, Boyd AP, Geuijen C, Iriarte M, Neyt C, et al. The virulence plasmid of Yersinia,
an antihost genome. Microbiol Mol Biol Rev. 1998; 62(4):1315–52. Epub 1998/12/05. https://doi.org/
10.1128/MMBR.62.4.1315-1352.1998 PMID: 9841674; PubMed Central PMCID: PMC98948.
9. Cornelis GR, Wolf-Watz H. The Yersinia Yop virulon: a bacterial system for subverting eukaryotic
cells. Mol Microbiol. 1997; 23(5):861–7. Epub 1997/03/01. https://doi.org/10.1046/j.1365-2958.1997.
2731623.x PMID: 9076724.
10. Koberle M, Klein-Gunther A, Schutz M, Fritz M, Berchtold S, Tolosa E, et al. Yersinia enterocolitica tar-
gets cells of the innate and adaptive immune system by injection of Yops in a mouse infection model.
PLoS Pathog. 2009; 5(8):e1000551. Epub 2009/08/15. https://doi.org/10.1371/journal.ppat.1000551
PMID: 19680448; PubMed Central PMCID: PMC2718809.
11. Maldonado-Arocho FJ, Green C, Fisher ML, Paczosa MK, Mecsas J. Adhesins and host serum factors
drive Yop translocation by yersinia into professional phagocytes during animal infection. PLoS Pathog.
2013; 9(6):e1003415. Epub 2013/07/03. https://doi.org/10.1371/journal.ppat.1003415 PMID:
23818844; PubMed Central PMCID: PMC3688556.
12. Durand EA, Maldonado-Arocho FJ, Castillo C, Walsh RL, Mecsas J. The presence of professional
phagocytes dictates the number of host cells targeted for Yop translocation during infection. Cell
Microbiol. 2010; 12(8):1064–82. Epub 2010/02/13. https://doi.org/10.1111/j.1462-5822.2010.01451.x
PMID: 20148898; PubMed Central PMCID: PMC2906667.
13. Viboud GI, Bliska JB. Yersinia outer proteins: role in modulation of host cell signaling responses and
pathogenesis. Annu Rev Microbiol. 2005; 59:69–89. Epub 2005/04/26. https://doi.org/10.1146/
annurev.micro.59.030804.121320 PMID: 15847602.
14. Cornelis GR. Yersinia type III secretion: send in the effectors. J Cell Biol. 2002; 158(3):401–8. Epub 2002/
08/07. https://doi.org/10.1083/jcb.200205077 PMID: 12163464; PubMed Central PMCID: PMC2173816.
15. Bliska JB. Yersinia inhibits host signaling by acetylating MAPK kinases. ACS Chem Biol. 2006; 1
(6):349–51. Epub 2006/12/14. https://doi.org/10.1021/cb600261k PMID: 17163770.
16. Sweet CR, Conlon J, Golenbock DT, Goguen J, Silverman N. YopJ targets TRAF proteins to inhibit
TLR-mediated NF-kappaB, MAPK and IRF3 signal transduction. Cell Microbiol. 2007; 9(11):2700–15.
Epub 2007/07/05. https://doi.org/10.1111/j.1462-5822.2007.00990.x PMID: 17608743.
17. Cao Y, Guan K, He X, Wei C, Zheng Z, Zhang Y, et al. Yersinia YopJ negatively regulates IRF3-medi-
ated antibacterial response through disruption of STING-mediated cytosolic DNA signaling. Biochim
Biophys Acta. 2016; 1863(12):3148–59. Epub 2016/11/05. https://doi.org/10.1016/j.bbamcr.2016.10.
004 PMID: 27742471.
18. Mukherjee S, Orth K. In vitro signaling by MAPK and NFkappaB pathways inhibited by Yersinia YopJ.
Methods Enzymol. 2008; 438:343–53. Epub 2008/04/17. https://doi.org/10.1016/S0076-6879(07)
38024-5 PMID: 18413260; PubMed Central PMCID: PMC3432501.
19. Ma KW, Ma W. YopJ Family Effectors Promote Bacterial Infection through a Unique Acetyltransferase
Activity. Microbiol Mol Biol Rev. 2016; 80(4):1011–27. Epub 2016/10/28. https://doi.org/10.1128/
MMBR.00032-16 PMID: 27784797; PubMed Central PMCID: PMC5116873.
20. Orning P, Weng D, Starheim K, Ratner D, Best Z, Lee B, et al. Pathogen blockade of TAK1 triggers
caspase-8-dependent cleavage of gasdermin D and cell death. Science. 2018; 362(6418):1064–9.
Epub 2018/10/27. https://doi.org/10.1126/science.aau2818 PMID: 30361383; PubMed Central
PMCID: PMC6522129.
21. Rosadini CV, Zanoni I, Odendall C, Green ER, Paczosa MK, Philip NH, et al. A Single Bacterial
Immune Evasion Strategy Dismantles Both MyD88 and TRIF Signaling Pathways Downstream of
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1010103 December 6, 2021
23 / 29
PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
TLR4. Cell Host Microbe. 2015; 18(6):682–93. Epub 2015/12/15. https://doi.org/10.1016/j.chom.2015.
11.006 PMID: 26651944; PubMed Central PMCID: PMC4685476.
22.
Trulzsch K, Geginat G, Sporleder T, Ruckdeschel K, Hoffmann R, Heesemann J, et al. Yersinia outer
protein P inhibits CD8 T cell priming in the mouse infection model. J Immunol. 2005; 174(7):4244–51.
Epub 2005/03/22. https://doi.org/10.4049/jimmunol.174.7.4244 PMID: 15778387.
23. Alonso A, Bottini N, Bruckner S, Rahmouni S, Williams S, Schoenberger SP, et al. Lck dephosphoryla-
tion at Tyr-394 and inhibition of T cell antigen receptor signaling by Yersinia phosphatase YopH. J Biol
Chem. 2004; 279(6):4922–8. Epub 2003/11/19. https://doi.org/10.1074/jbc.M308978200 PMID:
14623872.
24. Bruckner S, Rhamouni S, Tautz L, Denault JB, Alonso A, Becattini B, et al. Yersinia phosphatase
induces mitochondrially dependent apoptosis of T cells. J Biol Chem. 2005; 280(11):10388–94. Epub
2005/01/06. https://doi.org/10.1074/jbc.M408829200 PMID: 15632192.
25. Yao T, Mecsas J, Healy JI, Falkow S, Chien Y. Suppression of T and B lymphocyte activation by a Yer-
sinia pseudotuberculosis virulence factor, yopH. J Exp Med. 1999; 190(9):1343–50. Epub 1999/11/02.
https://doi.org/10.1084/jem.190.9.1343 PMID: 10544205; PubMed Central PMCID: PMC2195683.
26. Gerke C, Falkow S, Chien YH. The adaptor molecules LAT and SLP-76 are specifically targeted by
Yersinia to inhibit T cell activation. J Exp Med. 2005; 201(3):361–71. Epub 2005/02/09. https://doi.org/
10.1084/jem.20041120 PMID: 15699071; PubMed Central PMCID: PMC2213036.
27. Viney J, MacDonald TT, Spencer J. Gamma/delta T cells in the gut epithelium. Gut. 1990; 31(8):841–
4. Epub 1990/08/01. https://doi.org/10.1136/gut.31.8.841 PMID: 2143741; PubMed Central PMCID:
PMC1378605.
28. Goodman T, Lefrancois L. Expression of the gamma-delta T-cell receptor on intestinal CD8+ intrae-
pithelial lymphocytes. Nature. 1988; 333(6176):855–8. Epub 1988/06/30. https://doi.org/10.1038/
333855a0 PMID: 2968521.
29. Ribeiro ST, Ribot JC, Silva-Santos B. Five Layers of Receptor Signaling in gammadelta T-Cell Differ-
entiation and Activation. Front Immunol. 2015; 6:15. Epub 2015/02/13. https://doi.org/10.3389/fimmu.
2015.00015 PMID: 25674089; PubMed Central PMCID: PMC4306313.
30. Yin Z, Zhang DH, Welte T, Bahtiyar G, Jung S, Liu L, et al. Dominance of IL-12 over IL-4 in gamma
delta T cell differentiation leads to default production of IFN-gamma: failure to down-regulate IL-12
receptor beta 2-chain expression. J Immunol. 2000; 164(6):3056–64. Epub 2000/03/08. https://doi.
org/10.4049/jimmunol.164.6.3056 PMID: 10706694.
31.
Li W, Kubo S, Okuda A, Yamamoto H, Ueda H, Tanaka T, et al. Effect of IL-18 on expansion of gam-
madelta T cells stimulated by zoledronate and IL-2. J Immunother. 2010; 33(3):287–96. Epub 2010/
05/07. https://doi.org/10.1097/CJI.0b013e3181c80ffa PMID: 20445349.
32. Moens E, Brouwer M, Dimova T, Goldman M, Willems F, Vermijlen D. IL-23R and TCR signaling
drives the generation of neonatal Vgamma9Vdelta2 T cells expressing high levels of cytotoxic media-
tors and producing IFN-gamma and IL-17. J Leukoc Biol. 2011; 89(5):743–52. Epub 2011/02/19.
https://doi.org/10.1189/jlb.0910501 PMID: 21330350.
33. Sutton CE, Lalor SJ, Sweeney CM, Brereton CF, Lavelle EC, Mills KH. Interleukin-1 and IL-23 induce
innate IL-17 production from gammadelta T cells, amplifying Th17 responses and autoimmunity.
Immunity. 2009; 31(2):331–41. Epub 2009/08/18. https://doi.org/10.1016/j.immuni.2009.08.001
PMID: 19682929.
34.
Lockhart E, Green AM, Flynn JL. IL-17 production is dominated by gammadelta T cells rather than
CD4 T cells during Mycobacterium tuberculosis infection. J Immunol. 2006; 177(7):4662–9. Epub
2006/09/20. https://doi.org/10.4049/jimmunol.177.7.4662 PMID: 16982905.
35. Ribot JC, Chaves-Ferreira M, d’Orey F, Wencker M, Goncalves-Sousa N, Decalf J, et al. Cutting edge:
adaptive versus innate receptor signals selectively control the pool sizes of murine IFN-gamma- or IL-
17-producing gammadelta T cells upon infection. J Immunol. 2010; 185(11):6421–5. Epub 2010/11/03.
https://doi.org/10.4049/jimmunol.1002283 PMID: 21037088; PubMed Central PMCID: PMC3915338.
36. Garman RD, Doherty PJ, Raulet DH. Diversity, rearrangement, and expression of murine T cell
gamma genes. Cell. 1986; 45(5):733–42. Epub 1986/06/06. https://doi.org/10.1016/0092-8674(86)
90787-7 PMID: 3486721.
37. Sheridan BS, Romagnoli PA, Pham QM, Fu HH, Alonzo F, 3rd, Schubert WD, et al. gammadelta T
cells exhibit multifunctional and protective memory in intestinal tissues. Immunity. 2013; 39(1):184–95.
Epub 2013/07/31. https://doi.org/10.1016/j.immuni.2013.06.015 PMID: 23890071; PubMed Central
PMCID: PMC3749916.
38. Romagnoli PA, Sheridan BS, Pham QM, Lefrancois L, Khanna KM. IL-17A-producing resident mem-
ory gammadelta T cells orchestrate the innate immune response to secondary oral Listeria monocyto-
genes infection. Proc Natl Acad Sci U S A. 2016; 113(30):8502–7. Epub 2016/07/13. https://doi.org/
10.1073/pnas.1600713113 PMID: 27402748; PubMed Central PMCID: PMC4968747.
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1010103 December 6, 2021
24 / 29
PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
39. Dillen CA, Pinsker BL, Marusina AI, Merleev AA, Farber ON, Liu H, et al. Clonally expanded gamma-
delta T cells protect against Staphylococcus aureus skin reinfection. J Clin Invest. 2018; 128(3):1026–
42. Epub 2018/02/06. https://doi.org/10.1172/JCI96481 PMID: 29400698; PubMed Central PMCID:
PMC5824877.
40. Bohn E, Autenrieth IB. IL-12 is essential for resistance against Yersinia enterocolitica by triggering
IFN-gamma production in NK cells and CD4+ T cells. J Immunol. 1996; 156(4):1458–68. Epub 1996/
02/15. PMID: 8568248.
41. Szaba FM, Kummer LW, Duso DK, Koroleva EP, Tumanov AV, Cooper AM, et al. TNFalpha and IFN-
gamma but not perforin are critical for CD8 T cell-mediated protection against pulmonary Yersinia pes-
tis infection. PLoS Pathog. 2014; 10(5):e1004142. Epub 2014/05/24. https://doi.org/10.1371/journal.
ppat.1004142 PMID: 24854422; PubMed Central PMCID: PMC4031182.
42.
Logsdon LK, Mecsas J. The proinflammatory response induced by wild-type Yersinia pseudotubercu-
losis infection inhibits survival of yop mutants in the gastrointestinal tract and Peyer’s patches. Infect
Immun. 2006; 74(3):1516–27. Epub 2006/02/24. https://doi.org/10.1128/IAI.74.3.1516-1527.2006
PMID: 16495522; PubMed Central PMCID: PMC1418670.
43. Seo GY, Shui JW, Takahashi D, Song C, Wang Q, Kim K, et al. LIGHT-HVEM Signaling in Innate Lym-
phoid Cell Subsets Protects Against Enteric Bacterial Infection. Cell Host Microbe. 2018; 24(2):249–
60 e4. Epub 2018/08/10. https://doi.org/10.1016/j.chom.2018.07.008 PMID: 30092201; PubMed Cen-
tral PMCID: PMC6132068.
44.
45.
Imperato JN, Xu D, Romagnoli PA, Qiu Z, Perez P, Khairallah C, et al. Mucosal CD8 T Cell Responses
Are Shaped by Batf3-DC After Foodborne Listeria monocytogenes Infection. Front Immunol. 2020;
11:575967. Epub 2020/10/13. https://doi.org/10.3389/fimmu.2020.575967 PMID: 33042159; PubMed
Central PMCID: PMC7518468.
Zhang Y, Murtha J, Roberts MA, Siegel RM, Bliska JB. Type III secretion decreases bacterial and host
survival following phagocytosis of Yersinia pseudotuberculosis by macrophages. Infect Immun. 2008;
76(9):4299–310. Epub 2008/07/02. https://doi.org/10.1128/IAI.00183-08 PMID: 18591234; PubMed
Central PMCID: PMC2519449.
46. Palmer LE, Hobbie S, Galan JE, Bliska JB. YopJ of Yersinia pseudotuberculosis is required for the
inhibition of macrophage TNF-alpha production and downregulation of the MAP kinases p38 and JNK.
Mol Microbiol. 1998; 27(5):953–65. Epub 1998/04/16. https://doi.org/10.1046/j.1365-2958.1998.
00740.x PMID: 9535085.
47. Simonet M, Falkow S. Invasin expression in Yersinia pseudotuberculosis. Infect Immun. 1992; 60
(10):4414–7. Epub 1992/10/01. https://doi.org/10.1128/iai.60.10.4414-4417.1992 PMID: 1398952;
PubMed Central PMCID: PMC257481.
48.
Ivanov MI, Stuckey JA, Schubert HL, Saper MA, Bliska JB. Two substrate-targeting sites in the
Yersinia protein tyrosine phosphatase co-operate to promote bacterial virulence. Mol Microbiol.
2005; 55(5):1346–56. Epub 2005/02/22. https://doi.org/10.1111/j.1365-2958.2005.04477.x
PMID: 15720545.
49. Bliska JB, Guan KL, Dixon JE, Falkow S. Tyrosine phosphate hydrolysis of host proteins by an essen-
tial Yersinia virulence determinant. Proc Natl Acad Sci U S A. 1991; 88(4):1187–91. Epub 1991/02/15.
https://doi.org/10.1073/pnas.88.4.1187 PMID: 1705028; PubMed Central PMCID: PMC50982.
50. McPhee JB, Mena P, Bliska JB. Delineation of regions of the Yersinia YopM protein required for inter-
action with the RSK1 and PRK2 host kinases and their requirement for interleukin-10 production and
virulence. Infect Immun. 2010; 78(8):3529–39. Epub 2010/06/03. https://doi.org/10.1128/IAI.00269-10
PMID: 20515922; PubMed Central PMCID: PMC2916259.
51. Schoberle TJ, Chung LK, McPhee JB, Bogin B, Bliska JB. Uncovering an Important Role for YopJ in
the Inhibition of Caspase-1 in Activated Macrophages and Promoting Yersinia pseudotuberculosis Vir-
ulence. Infect Immun. 2016; 84(4):1062–72. Epub 2016/01/27. https://doi.org/10.1128/IAI.00843-15
PMID: 26810037; PubMed Central PMCID: PMC4807483.
52. Chung LK, Philip NH, Schmidt VA, Koller A, Strowig T, Flavell RA, et al. IQGAP1 is important for acti-
vation of caspase-1 in macrophages and is targeted by Yersinia pestis type III effector YopM. mBio.
2014; 5(4):e01402–14. Epub 2014/07/06. https://doi.org/10.1128/mBio.01402-14 PMID: 24987096;
PubMed Central PMCID: PMC4161239.
53. Harmon DE, Davis AJ, Castillo C, Mecsas J. Identification and characterization of small-molecule
inhibitors of Yop translocation in Yersinia pseudotuberculosis. Antimicrob Agents Chemother. 2010;
54(8):3241–54. Epub 2010/05/26. https://doi.org/10.1128/AAC.00364-10 PMID: 20498321; PubMed
Central PMCID: PMC2916352.
54. Schweer J, Kulkarni D, Kochut A, Pezoldt J, Pisano F, Pils MC, et al. The cytotoxic necrotizing factor
of Yersinia pseudotuberculosis (CNFY) enhances inflammation and Yop delivery during infection by
activation of Rho GTPases. PLoS Pathog. 2013; 9(11):e1003746. Epub 2013/11/19. https://doi.org/
10.1371/journal.ppat.1003746 PMID: 24244167; PubMed Central PMCID: PMC3820761.
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1010103 December 6, 2021
25 / 29
PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
55.
56.
Zhang Y, Tam JW, Mena P, van der Velden AW, Bliska JB. CCR2+ Inflammatory Dendritic Cells and
Translocation of Antigen by Type III Secretion Are Required for the Exceptionally Large CD8+ T Cell
Response to the Protective YopE69-77 Epitope during Yersinia Infection. PLoS Pathog. 2015; 11(10):
e1005167. Epub 2015/10/16. https://doi.org/10.1371/journal.ppat.1005167 PMID: 26468944; PubMed
Central PMCID: PMC4607306.
Zhang Y, Romanov G, Bliska JB. Type III secretion system-dependent translocation of ectopically
expressed Yop effectors into macrophages by intracellular Yersinia pseudotuberculosis. Infect
Immun. 2011; 79(11):4322–31. Epub 2011/08/17. https://doi.org/10.1128/IAI.05396-11 PMID:
21844228; PubMed Central PMCID: PMC3257923.
57. Kim J, Fukuto HS, Brown DA, Bliska JB, London E. Effects of host cell sterol composition upon inter-
nalization of Yersinia pseudotuberculosis and clustered beta1 integrin. J Biol Chem. 2018; 293
(4):1466–79. Epub 2017/12/05. https://doi.org/10.1074/jbc.M117.811224 PMID: 29197826; PubMed
Central PMCID: PMC5787820.
58. Bohn E, Sonnabend M, Klein K, Autenrieth IB. Bacterial adhesion and host cell factors leading to effec-
tor protein injection by type III secretion system. Int J Med Microbiol. 2019; 309(5):344–50. Epub 2019/
06/11. https://doi.org/10.1016/j.ijmm.2019.05.008 PMID: 31178419.
59.
Isberg RR, Voorhis DL, Falkow S. Identification of invasin: a protein that allows enteric bacteria to pen-
etrate cultured mammalian cells. Cell. 1987; 50(5):769–78. Epub 1987/08/28. https://doi.org/10.1016/
0092-8674(87)90335-7 PMID: 3304658.
60. Schulze-Koops H, Burkhardt H, Heesemann J, von der Mark K, Emmrich F. Plasmid-encoded outer
membrane protein YadA mediates specific binding of enteropathogenic yersiniae to various types of
collagen. Infect Immun. 1992; 60(6):2153–9. Epub 1992/06/01. https://doi.org/10.1128/iai.60.6.2153-
2159.1992 PMID: 1587583; PubMed Central PMCID: PMC257137.
61. Deuschle E, Keller B, Siegfried A, Manncke B, Spaeth T, Koberle M, et al. Role of beta1 integrins and
bacterial adhesins for Yop injection into leukocytes in Yersinia enterocolitica systemic mouse infection.
Int J Med Microbiol. 2016; 306(2):77–88. Epub 2016/01/01. https://doi.org/10.1016/j.ijmm.2015.12.
001 PMID: 26718660.
62. Bliska JB, Copass MC, Falkow S. The Yersinia pseudotuberculosis adhesin YadA mediates intimate bac-
terial attachment to and entry into HEp-2 cells. Infect Immun. 1993; 61(9):3914–21. Epub 1993/09/01.
https://doi.org/10.1128/iai.61.9.3914-3921.1993 PMID: 7689542; PubMed Central PMCID: PMC281094.
63. Nguyen GT, McCabe AL, Fasciano AC, Mecsas J. Detection of Cells Translocated with Yersinia Yops
in Infected Tissues Using beta-Lactamase Fusions. Methods Mol Biol. 2019; 2010:117–39. Epub
2019/06/10. https://doi.org/10.1007/978-1-4939-9541-7_9 PMID: 31177435; PubMed Central PMCID:
PMC6733027.
64. Pasztoi M, Bonifacius A, Pezoldt J, Kulkarni D, Niemz J, Yang J, et al. Yersinia pseudotuberculosis
supports Th17 differentiation and limits de novo regulatory T cell induction by directly interfering with T
cell receptor signaling. Cell Mol Life Sci. 2017; 74(15):2839–50. Epub 2017/04/06. https://doi.org/10.
1007/s00018-017-2516-y PMID: 28378044; PubMed Central PMCID: PMC5491567.
65. Elfiky A, Bonifacius A, Pezoldt J, Pasztoi M, Chaoprasid P, Sadana P, et al. Yersinia Pseudotuberculo-
sis Modulates Regulatory T Cell Stability via Injection of Yersinia Outer Proteins in a Type III Secretion
System-Dependent Manner. Eur J Microbiol Immunol (Bp). 2018; 8(4):101–6. Epub 2019/02/06.
https://doi.org/10.1556/1886.2018.00015 PMID: 30719325; PubMed Central PMCID: PMC6348704.
66. Clark MA, Hirst BH, Jepson MA. M-cell surface beta1 integrin expression and invasin-mediated target-
ing of Yersinia pseudotuberculosis to mouse Peyer’s patch M cells. Infect Immun. 1998; 66(3):1237–
43. Epub 1998/03/06. https://doi.org/10.1128/IAI.66.3.1237-1243.1998 PMID: 9488419; PubMed
Central PMCID: PMC108039.
67. El Tahir Y, Skurnik M. YadA, the multifaceted Yersinia adhesin. Int J Med Microbiol. 2001; 291(3):209–
18. Epub 2001/09/14. https://doi.org/10.1078/1438-4221-00119 PMID: 11554561.
68.
69.
Tertti R, Skurnik M, Vartio T, Kuusela P. Adhesion protein YadA of Yersinia species mediates binding
of bacteria to fibronectin. Infect Immun. 1992; 60(7):3021–4. Epub 1992/07/01. https://doi.org/10.
1128/iai.60.7.3021-3024.1992 PMID: 1612772; PubMed Central PMCID: PMC257272.
Flugel A, Schulze-Koops H, Heesemann J, Kuhn K, Sorokin L, Burkhardt H, et al. Interaction of entero-
pathogenic Yersinia enterocolitica with complex basement membranes and the extracellular matrix
proteins collagen type IV, laminin-1 and -2, and nidogen/entactin. J Biol Chem. 1994; 269(47):29732–
8. Epub 1994/11/25. PMID: 7961965.
70. Mukherjee S, Keitany G, Li Y, Wang Y, Ball HL, Goldsmith EJ, et al. Yersinia YopJ acetylates and
inhibits kinase activation by blocking phosphorylation. Science. 2006; 312(5777):1211–4. Epub 2006/
05/27. https://doi.org/10.1126/science.1126867 PMID: 16728640.
71.
Lee J, Aoki T, Thumkeo D, Siriwach R, Yao C, Narumiya S. T cell-intrinsic prostaglandin E2-EP2/EP4
signaling is critical in pathogenic TH17 cell-driven inflammation. J Allergy Clin Immunol. 2019; 143
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1010103 December 6, 2021
26 / 29
PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
(2):631–43. Epub 2018/06/24. https://doi.org/10.1016/j.jaci.2018.05.036 PMID: 29935220; PubMed
Central PMCID: PMC6354914.
72. Ng SS, De Labastida Rivera F, Yan J, Corvino D, Das I, Zhang P, et al. The NK cell granule protein
NKG7 regulates cytotoxic granule exocytosis and inflammation. Nat Immunol. 2020; 21(10):1205–18.
Epub 2020/08/26. https://doi.org/10.1038/s41590-020-0758-6 PMID: 32839608.
73. Malarkannan S. NKG7 makes a better killer. Nat Immunol. 2020; 21(10):1139–40. Epub 2020/08/26.
https://doi.org/10.1038/s41590-020-0767-5 PMID: 32839609.
74. Heinz S, Benner C, Spann N, Bertolino E, Lin YC, Laslo P, et al. Simple combinations of lineage-deter-
mining transcription factors prime cis-regulatory elements required for macrophage and B cell identi-
ties. Mol Cell. 2010; 38(4):576–89. Epub 2010/06/02. https://doi.org/10.1016/j.molcel.2010.05.004
PMID: 20513432; PubMed Central PMCID: PMC2898526.
75. Pham D, Sehra S, Sun X, Kaplan MH. The transcription factor Etv5 controls TH17 cell development
and allergic airway inflammation. J Allergy Clin Immunol. 2014; 134(1):204–14. Epub 2014/02/04.
https://doi.org/10.1016/j.jaci.2013.12.021 PMID: 24486067; PubMed Central PMCID: PMC4209254.
76. Yin L, Li W, Xu A, Shi H, Wang K, Yang H, et al. SH3BGRL2 inhibits growth and metastasis in clear
cell renal cell carcinoma via activating hippo/TEAD1-Twist1 pathway. EBioMedicine. 2020;
51:102596. Epub 2020/01/09. https://doi.org/10.1016/j.ebiom.2019.12.005 PMID: 31911271; PubMed
Central PMCID: PMC7000347.
77. Pham D, Vincentz JW, Firulli AB, Kaplan MH. Twist1 regulates Ifng expression in Th1 cells by interfer-
ing with Runx3 function. J Immunol. 2012; 189(2):832–40. Epub 2012/06/12. https://doi.org/10.4049/
jimmunol.1200854 PMID: 22685315; PubMed Central PMCID: PMC3392532.
78. Wang Y, Godec J, Ben-Aissa K, Cui K, Zhao K, Pucsek AB, et al. The transcription factors T-bet and
Runx are required for the ontogeny of pathogenic interferon-gamma-producing T helper 17 cells.
Immunity. 2014; 40(3):355–66. Epub 2014/02/18. https://doi.org/10.1016/j.immuni.2014.01.002
PMID: 24530058; PubMed Central PMCID: PMC3965587.
79. Good SR, Thieu VT, Mathur AN, Yu Q, Stritesky GL, Yeh N, et al. Temporal induction pattern of
STAT4 target genes defines potential for Th1 lineage-specific programming. J Immunol. 2009; 183
(6):3839–47. Epub 2009/08/28. https://doi.org/10.4049/jimmunol.0901411 PMID: 19710469; PubMed
Central PMCID: PMC2748807.
80. Xu X, Sun YL, Hoey T. Cooperative DNA binding and sequence-selective recognition conferred by the
STAT amino-terminal domain. Science. 1996; 273(5276):794–7. Epub 1996/08/09. https://doi.org/10.
1126/science.273.5276.794 PMID: 8670419.
81. Yamamoto K, Miura O, Hirosawa S, Miyasaka N. Binding sequence of STAT4: STAT4 complex recog-
nizes the IFN-gamma activation site (GAS)-like sequence (T/A)TTCC(C/G)GGAA(T/A). Biochem Bio-
phys Res Commun. 1997; 233(1):126–32. Epub 1997/04/07. https://doi.org/10.1006/bbrc.1997.6415
PMID: 9144409.
82.
Zhang Y, Ting AT, Marcu KB, Bliska JB. Inhibition of MAPK and NF-kappa B pathways is necessary
for rapid apoptosis in macrophages infected with Yersinia. J Immunol. 2005; 174(12):7939–49. Epub
2005/06/10. https://doi.org/10.4049/jimmunol.174.12.7939 PMID: 15944300.
83. Khairallah C, Bettke JA, Gorbatsevych O, Qiu Z, Zhang Y, Cho K, et al. A blend of broadly-reactive
and pathogen-selected Vgamma4 Vdelta1 T cell receptors confer broad bacterial reactivity of resident
memory gammadelta T cells. Mucosal Immunol. 2021. Epub 2021/09/01. https://doi.org/10.1038/
s41385-021-00447-x PMID: 34462572.
84. Young JL, Goodall JC, Beacock-Sharp H, Gaston JS. Human gamma delta T-cell recognition of Yersi-
nia enterocolitica. Immunology. 1997; 91(4):503–10. Epub 1997/08/01. https://doi.org/10.1046/j.1365-
2567.1997.00289.x PMID: 9378487; PubMed Central PMCID: PMC1363868.
85. Hermann E, Ackermann B, Duchmann R, Meyer zum Buschenfelde KH. Synovial fluid MHC-
unrestricted gamma delta-T lymphocytes contribute to antibacterial and anti-self cytotoxicity in
the spondylarthropathies. Clin Exp Rheumatol. 1995; 13(2):187–91. Epub 1995/03/01. PMID:
7656464.
86. Huang D, Chen CY, Ali Z, Shao L, Shen L, Lockman HA, et al. Antigen-specific Vgamma2Vdelta2 T
effector cells confer homeostatic protection against pneumonic plaque lesions. Proc Natl Acad Sci U S
A. 2009; 106(18):7553–8. Epub 2009/04/23. https://doi.org/10.1073/pnas.0811250106 PMID:
19383786; PubMed Central PMCID: PMC2678605.
87. Puan KJ, Jin C, Wang H, Sarikonda G, Raker AM, Lee HK, et al. Preferential recognition of a microbial
metabolite by human Vgamma2Vdelta2 T cells. Int Immunol. 2007; 19(5):657–73. Epub 2007/04/21.
https://doi.org/10.1093/intimm/dxm031 PMID: 17446209.
88. Hermann E, Lohse AW, Mayet WJ, van der Zee R, Van Eden W, Probst P, et al. Stimulation of synovial
fluid mononuclear cells with the human 65-kD heat shock protein or with live enterobacteria leads to
preferential expansion of TCR-gamma delta+ lymphocytes. Clin Exp Immunol. 1992; 89(3):427–33.
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1010103 December 6, 2021
27 / 29
PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
Epub 1992/09/01. https://doi.org/10.1111/j.1365-2249.1992.tb06975.x PMID: 1387595; PubMed Cen-
tral PMCID: PMC1554482.
89. Deseke M, Prinz I. Ligand recognition by the gammadelta TCR and discrimination between homeosta-
sis and stress conditions. Cell Mol Immunol. 2020; 17(9):914–24. Epub 2020/07/28. https://doi.org/10.
1038/s41423-020-0503-y PMID: 32709926.
90. Cui W, Joshi NS, Jiang A, Kaech SM. Effects of Signal 3 during CD8 T cell priming: Bystander produc-
tion of IL-12 enhances effector T cell expansion but promotes terminal differentiation. Vaccine. 2009;
27(15):2177–87. Epub 2009/02/10. https://doi.org/10.1016/j.vaccine.2009.01.088 PMID: 19201385;
PubMed Central PMCID: PMC2803112.
91. Robinson RT, Khader SA, Locksley RM, Lien E, Smiley ST, Cooper AM. Yersinia pestis evades TLR4-
dependent induction of IL-12(p40)2 by dendritic cells and subsequent cell migration. J Immunol. 2008;
181(8):5560–7. Epub 2008/10/04. https://doi.org/10.4049/jimmunol.181.8.5560 PMID: 18832714;
PubMed Central PMCID: PMC2640496.
92. Koch I, Dach K, Heesemann J, Hoffmann R. Yersinia enterocolitica inactivates NK cells. Int J Med
Microbiol. 2013; 303(8):433–42. Epub 2013/07/03. https://doi.org/10.1016/j.ijmm.2013.05.004 PMID:
23810728.
93. Garcia VE, Jullien D, Song M, Uyemura K, Shuai K, Morita CT, et al. IL-15 enhances the response of
human gamma delta T cells to nonpeptide [correction of nonpetide] microbial antigens. J Immunol.
1998; 160(9):4322–9. Epub 1998/05/09. PMID: 9574535.
94. Orth K. Function of the Yersinia effector YopJ. Curr Opin Microbiol. 2002; 5(1):38–43. Epub 2002/02/
09. https://doi.org/10.1016/s1369-5274(02)00283-7 PMID: 11834367.
95.
96.
Li C, Wang D, Lv X, Jing R, Bi B, Chen X, et al. Yersinia pestis acetyltransferase-mediated dual acety-
lation at the serine and lysine residues enhances the auto-ubiquitination of ubiquitin ligase MARCH8 in
human cells. Cell Cycle. 2017; 16(7):649–59. Epub 2017/01/20. https://doi.org/10.1080/15384101.
2017.1281481 PMID: 28103160; PubMed Central PMCID: PMC5397269.
Zhou H, Monack DM, Kayagaki N, Wertz I, Yin J, Wolf B, et al. Yersinia virulence factor YopJ acts as a
deubiquitinase to inhibit NF-kappa B activation. J Exp Med. 2005; 202(10):1327–32. Epub 2005/11/23.
https://doi.org/10.1084/jem.20051194 PMID: 16301742; PubMed Central PMCID: PMC2212976.
97. Keller B, Muhlenkamp M, Deuschle E, Siegfried A, Mossner S, Schade J, et al. Yersinia enterocolitica
exploits different pathways to accomplish adhesion and toxin injection into host cells. Cell Microbiol.
2015; 17(8):1179–204. Epub 2015/02/14. https://doi.org/10.1111/cmi.12429 PMID: 25678064.
98. Morinobu A, Gadina M, Strober W, Visconti R, Fornace A, Montagna C, et al. STAT4 serine phosphor-
ylation is critical for IL-12-induced IFN-gamma production but not for cell proliferation. Proc Natl Acad
Sci U S A. 2002; 99(19):12281–6. Epub 2002/09/06. https://doi.org/10.1073/pnas.182618999 PMID:
12213961; PubMed Central PMCID: PMC129436.
99. Mavropoulos A, Sully G, Cope AP, Clark AR. Stabilization of IFN-gamma mRNA by MAPK p38 in IL-
12- and IL-18-stimulated human NK cells. Blood. 2005; 105(1):282–8. Epub 2004/09/04. https://doi.
org/10.1182/blood-2004-07-2782 PMID: 15345584.
100.
Zhang W, Liu HT. MAPK signal pathways in the regulation of cell proliferation in mammalian cells. Cell
Res. 2002; 12(1):9–18. Epub 2002/04/11. https://doi.org/10.1038/sj.cr.7290105 PMID: 11942415.
101. Gehart H, Kumpf S, Ittner A, Ricci R. MAPK signalling in cellular metabolism: stress or wellness?
EMBO Rep. 2010; 11(11):834–40. Epub 2010/10/12. https://doi.org/10.1038/embor.2010.160 PMID:
20930846; PubMed Central PMCID: PMC2966959.
102. Wilkinson MG, Millar JB. Control of the eukaryotic cell cycle by MAP kinase signaling pathways.
FASEB J. 2000; 14(14):2147–57. Epub 2000/10/29. https://doi.org/10.1096/fj.00-0102rev PMID:
11053235.
103. Sugiura R, Satoh R, Ishiwata S, Umeda N, Kita A. Role of RNA-Binding Proteins in MAPK Signal
Transduction Pathway. J Signal Transduct. 2011; 2011:109746. Epub 2011/07/22. https://doi.org/10.
1155/2011/109746 PMID: 21776382; PubMed Central PMCID: PMC3135068.
104. Kopper F, Bierwirth C, Schon M, Kunze M, Elvers I, Kranz D, et al. Damage-induced DNA replication
stalling relies on MAPK-activated protein kinase 2 activity. Proc Natl Acad Sci U S A. 2013; 110
(42):16856–61. Epub 2013/10/02. https://doi.org/10.1073/pnas.1304355110 PMID: 24082115;
PubMed Central PMCID: PMC3801042.
105. Wei JH, Seemann J. Remodeling of the Golgi structure by ERK signaling. Commun Integr Biol. 2009;
2(1):35–6. Epub 2009/08/26. https://doi.org/10.4161/cib.2.1.7421 PMID: 19704864; PubMed Central
PMCID: PMC2649298.
106. Grenningloh R, Kang BY, Ho IC. Ets-1, a functional cofactor of T-bet, is essential for Th1 inflammatory
responses. J Exp Med. 2005; 201(4):615–26. Epub 2005/02/25. https://doi.org/10.1084/jem.
20041330 PMID: 15728239; PubMed Central PMCID: PMC2213045.
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1010103 December 6, 2021
28 / 29
PLOS PATHOGENSYersinia pseudotuberculosis subversion of γδ T cell function
107. Koues OI, Collins PL, Cella M, Robinette ML, Porter SI, Pyfrom SC, et al. Distinct Gene Regulatory
Pathways for Human Innate versus Adaptive Lymphoid Cells. Cell. 2016; 165(5):1134–46. Epub 2016/
05/10. https://doi.org/10.1016/j.cell.2016.04.014 PMID: 27156452; PubMed Central PMCID:
PMC4874868.
108. Dandekar AA, O’Malley K, Perlman S. Important roles for gamma interferon and NKG2D in gamma-
delta T-cell-induced demyelination in T-cell receptor beta-deficient mice infected with a coronavirus. J
Virol. 2005; 79(15):9388–96. Epub 2005/07/15. https://doi.org/10.1128/JVI.79.15.9388-9396.2005
PMID: 16014902; PubMed Central PMCID: PMC1181615.
109. Nitahara A, Shimura H, Ito A, Tomiyama K, Ito M, Kawai K. NKG2D ligation without T cell receptor
engagement triggers both cytotoxicity and cytokine production in dendritic epidermal T cells. J Invest
Dermatol. 2006; 126(5):1052–8. Epub 2006/02/18. https://doi.org/10.1038/sj.jid.5700112 PMID:
16484989.
110. Girardi M, Oppenheim DE, Steele CR, Lewis JM, Glusac E, Filler R, et al. Regulation of cutaneous
malignancy by gammadelta T cells. Science. 2001; 294(5542):605–9. Epub 2001/09/22. https://doi.
org/10.1126/science.1063916 PMID: 11567106
111. Osinska I, Popko K, Demkow U. Perforin: an important player in immune response. Cent Eur J Immu-
nol. 2014; 39(1):109–15. Epub 2014/01/01. https://doi.org/10.5114/ceji.2014.42135 PMID: 26155110;
PubMed Central PMCID: PMC4439970.
112. Gogoi D, Chiplunkar SV. Targeting gamma delta T cells for cancer immunotherapy: bench to bedside.
Indian J Med Res. 2013; 138(5):755–61. Epub 2014/01/18. PMID: 24434328; PubMed Central
PMCID: PMC3928706.
113. Autenrieth IB, Beer M, Bohn E, Kaufmann SH, Heesemann J. Immune responses to Yersinia entero-
colitica in susceptible BALB/c and resistant C57BL/6 mice: an essential role for gamma interferon.
Infect Immun. 1994; 62(6):2590–9. Epub 1994/06/01. https://doi.org/10.1128/iai.62.6.2590-2599.1994
PMID: 8188382; PubMed Central PMCID: PMC186549.
114. Bohn E, Heesemann J, Ehlers S, Autenrieth IB. Early gamma interferon mRNA expression is associ-
ated with resistance of mice against Yersinia enterocolitica. Infect Immun. 1994; 62(7):3027–32. Epub
1994/07/01. https://doi.org/10.1128/iai.62.7.3027-3032.1994 PMID: 8005693; PubMed Central
PMCID: PMC302917.
115. Hein J, Sing A, Di Genaro MS, Autenrieth IB. Interleukin-12 and interleukin-18 are indispensable for
protective immunity against enteropathogenic Yersinia. Microb Pathog. 2001; 31(4):195–9. Epub
2001/09/20. https://doi.org/10.1006/mpat.2001.0458 PMID: 11562172.
116. Bohn E, Schmitt E, Bielfeldt C, Noll A, Schulte R, Autenrieth IB. Ambiguous role of interleukin-12 in
Yersinia enterocolitica infection in susceptible and resistant mouse strains. Infect Immun. 1998; 66
(5):2213–20. Epub 1998/05/09. https://doi.org/10.1128/IAI.66.5.2213-2220.1998 PMID: 9573110;
PubMed Central PMCID: PMC108184.
117. Wollert T, Pasche B, Rochon M, Deppenmeier S, van den Heuvel J, Gruber AD, et al. Extending the
host range of Listeria monocytogenes by rational protein design. Cell. 2007; 129(5):891–902. Epub
2007/06/02. https://doi.org/10.1016/j.cell.2007.03.049 PMID: 17540170.
118. Kim D, Langmead B, Salzberg SL. HISAT: a fast spliced aligner with low memory requirements. Nat
Methods. 2015; 12(4):357–60. Epub 2015/03/10. https://doi.org/10.1038/nmeth.3317 PMID:
25751142; PubMed Central PMCID: PMC4655817.
119.
Liao Y, Smyth GK, Shi W. featureCounts: an efficient general purpose program for assigning sequence
reads to genomic features. Bioinformatics. 2014; 30(7):923–30. Epub 2013/11/15. https://doi.org/10.
1093/bioinformatics/btt656 PMID: 24227677.
120. Stacklies W, Redestig H, Scholz M, Walther D, Selbig J. pcaMethods—a bioconductor package pro-
viding PCA methods for incomplete data. Bioinformatics. 2007; 23(9):1164–7. Epub 2007/03/09.
https://doi.org/10.1093/bioinformatics/btm069 PMID: 17344241.
121.
Love MI, Huber W, Anders S. Moderated estimation of fold change and dispersion for RNA-seq data
with DESeq2. Genome Biol. 2014; 15(12):550. Epub 2014/12/18. https://doi.org/10.1186/s13059-014-
0550-8 PMID: 25516281; PubMed Central PMCID: PMC4302049.
122. Collins C, Shi C, Russell JQ, Fortner KA, Budd RC. Activation of gamma delta T cells by Borrelia burg-
dorferi is indirect via a TLR- and caspase-dependent pathway. J Immunol. 2008; 181(4):2392–8. Epub
2008/08/08. https://doi.org/10.4049/jimmunol.181.4.2392 PMID: 18684928; PubMed Central PMCID:
PMC2832482.
PLOS Pathogens | https://doi.org/10.1371/journal.ppat.1010103 December 6, 2021
29 / 29
PLOS PATHOGENS
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|
Data Availability
We provide R modules as the basis for the dashboard development on GitHub
(https://github.com/CTU-Basel/viewTrial). Qualitative data that supported the
development of the risk assessment and study dashboard is provided in the
supplementary material.
|
Data Availability We provide R modules as the basis for the dashboard development on GitHub ( https://github.com/CTU-Basel/viewTrial ). Qualitative data that supported the development of the risk assessment and study dashboard is provided in the supplementary material.
|
Klatte et al. BMC Medical Research Methodology (2023) 23:84
https://doi.org/10.1186/s12874-023-01902-y
BMC Medical Research
Methodology
Development of a risk-tailored approach
and dashboard for efficient management
and monitoring of investigator-initiated trials
Katharina Klatte1*, Suvitha Subramaniam1, Pascal Benkert1, Alexandra Schulz1, Klaus Ehrlich1, Astrid Rösler1,
Mieke Deschodt2,3, Thomas Fabbro1, Christiane Pauli-Magnus1† and Matthias Briel1,4†
Abstract
Background Most randomized controlled trials (RCTs) in the academic setting have limited resources for clinical trial
management and monitoring. Inefficient conduct of trials was identified as an important source of waste even in
well-designed studies. Thoroughly identifying trial-specific risks to enable focussing of monitoring and management
efforts on these critical areas during trial conduct may allow for the timely initiation of corrective action and to
improve the efficiency of trial conduct. We developed a risk-tailored approach with an initial risk assessment of an
individual trial that informs the compilation of monitoring and management procedures in a trial dashboard.
Methods We performed a literature review to identify risk indicators and trial monitoring approaches followed by
a contextual analysis involving local, national and international stakeholders. Based on this work we developed a
risk-tailored management approach with integrated monitoring for RCTs and including a visualizing trial dashboard.
We piloted the approach and refined it in an iterative process based on feedback from stakeholders and performed
formal user testing with investigators and staff of two clinical trials.
Results The developed risk assessment comprises four domains (patient safety and rights, overall trial management,
intervention management, trial data). An accompanying manual provides rationales and detailed instructions for
the risk assessment. We programmed two trial dashboards tailored to one medical and one surgical RCT to manage
identified trial risks based on daily exports of accumulating trial data. We made the code for a generic dashboard
available on GitHub that can be adapted to individual trials.
Conclusions The presented trial management approach with integrated monitoring enables user-friendly,
continuous checking of critical elements of trial conduct to support trial teams in the academic setting. Further work
is needed in order to show effectiveness of the dashboard in terms of safe trial conduct and successful completion of
clinical trials.
Keywords Clinical trial, Trial management, Risk-tailored monitoring, Trial dashboard
†Shared senior authorship.
*Correspondence:
Katharina Klatte
Katiklatte@icloud.com
1Department of Clinical Research, University Hospital Basel and University
of Basel, Spitalstrasse 12, Basel CH- 4031, Switzerland
2Department of Public Health & Primary Care, KU Leuven, Leuven,
Belgium
3Competence Centre of Nursing, University Hospitals Leuven, Leuven,
Belgium
4Department of Health Research Methods, Evidence, and Impact,
McMaster University, Hamilton, ON, Canada
© The Author(s) 2023. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use,
sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and
the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this
article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included
in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will
need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. The
Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available
in this article, unless otherwise stated in a credit line to the data.
RESEARCHOpen AccessPage 2 of 11
Introduction
Randomized controlled trials (RCTs) are the gold stan-
dard for assessing the effects of medical interventions.
However, they are typically resource intense and pose
various organisational challenges [1–3]. Inefficient man-
agement and monitoring of RCTs have been identified as
an important source of waste [1–5]. Monitoring efforts
are traditionally quite generic and extensive, [6–8] but
problems such as slow participant recruitment, con-
siderable losses to follow-up, or poor data quality are
often recognized too late during trial conduct delaying
necessary adjustments of processes or the protocol. In
addition, resources for clinical trial monitoring and man-
agement are usually scarce in the academic setting and
sophisticated commercial solutions can be costly [9, 10].
Organisational challenges and critical factors jeopar-
dizing trial integrity and quality may vary considerably
across trials; therefore, a risk assessment conducted prior
to trial initiation or at certain intervals during trial con-
duct may yield different risk profiles for individual trials.
Trial monitoring protects the safety and rights of partici-
pants, ensures data are accurate, complete and verifiable,
and that the trial follows the principles of good clinical
practice [11, 12]. Currently recommended risk-based
trial monitoring allows for an adaptation of the monitor-
ing intensity according to an initial risk assessment of a
trial and has been developed to reduce resource intense
onsite visits with source data verification for non-high-
risk trials [1–3, 13–15, 16, 17. However, this approach
typically does not consider individual risk profiles of
RCTs, but rather classifies trials by generic risk catego-
ries [16]. To accommodate individual trial risks, a moni-
toring strategy may include several components such as
centralized monitoring (evaluation of accumulated trial
data performed in a timely manner at a central location),
onsite monitoring (performed at investigator sites with
source data verification and review of protocol-specified
processes), or remote monitoring (same tasks as onsite
monitoring but performed away from investigator sites)
[17, 18, 19].
Trial management should provide for smooth and reli-
able trial procedures including participant recruitment,
randomisation, intervention application, data collection,
and data cleaning [20, 21]. Data cleaning and checking
of recruitment and retention rates, for instance, need to
be performed in a timely fashion, so that corrective mea-
sures can be taken early on and detrimental effects on the
trial can be avoided [22]. Trial monitoring is most effec-
tive when performed on cleaned data, because incorrect
processes may be missed due to poor data quality and
monitoring efforts are wasted on individual data errors.
Therefore, trial management and monitoring ideally are
integrated tasks that make use of accumulating data dur-
ing trial conduct, i.e. continuously keeping oversight of
complex study processes and performing centralized data
monitoring [23–25].
The objective of this project was to develop a risk-
tailored approach that integrated trial management and
monitoring in investigator-initiated RCTs. We closely
collaborated with relevant stakeholders (trial coordina-
tors, principal investigators, data managers, trial moni-
tors, statisticians) to create a user-friendly dashboard
that efficiently visualizes data on critical processes of
individual trials.
Methods
Overview of research process
In the first phase of this user-centred project, [26] we
developed a concept of a risk-tailored trial monitor-
ing and management approach with corresponding trial
dashboard (Fig. 1). We anticipated users to be primarily
trial managers, principal investigators, and trial moni-
tors. The development involved relevant stakeholder
groups and was based on the results of systematic litera-
ture reviews on existing monitoring strategies, [17] and
a contextual analysis to identify current practices and
needs of anticipated users. The concept and dashboard
were piloted and refined in an iterative process involving
different end users and other stakeholder groups. In the
second phase, we performed formal user testing of the
developed risk assessment and dashboard. Experiences of
investigators and trial staff of one medical and one surgi-
cal investigator-initiated RCT were gathered using semi-
structured interviews to further refine the concept and
dashboard.
Setting
Before the introduction of the new concept, a risk assess-
ment was routinely performed by the monitoring team
to assess the extent of the monitoring needed for the
trial according to the ADAMON criteria. This approach
allowed the rough classification of trials into the catego-
ries low, medium, or high risk [27]. The new risk assess-
ment incorporates many more factors related to the
study specific conduct including challenges in the study
management. It is not meant to categorize trials and
adjust the extent of monitoring based on the category.
The trial teams included in our project were not involved
in other pre-trial risk assessments. Both trial teams
assessing the benefits of the risk assessment and dash-
board tool had started participant recruitment and data
collection before the implementation of the new tool and,
thus, compared it to the situation without structured risk
assessment and tool support.”
Systematic literature review
To identify and structure components for the initial
risk assessment of individual trials, we systematically
Klatte et al. BMC Medical Research Methodology (2023) 23:84 Page 3 of 11
Fig. 1 Overview of the two phases of the development and user-testing of the risk-tailored approach and trial dashboard
searched for published risk assessment approaches and
risk indicators used to support trial oversight and to
identify centres in need for support. We considered dif-
ferent components and qualitative evidence from process
evaluations of tested monitoring strategies summarized
in a previously conducted systematic review [17]. We
further considered the guideline of the European Clini-
cal Research Infrastructure Network (Ecrin) [16] and the
risk assessment guideline developed by the Swiss Clinical
Trial Organization [28], TransCelerate metrics [29, 30],
Whitham metrics [31], and the trial specific metrics used
by the Medical Research Council (MRC) Clinical Trials
Unit (CTU) at University College London (UCL) Trial
specific metrics [32]. Results from this literature review
are summarized in Supplementary Table 1.
groups provided an additional opportunity for feedback
and exchange of information on the risk assessment and
dashboard development as well as on the application
strategy. In order to get input from a national group of
stakeholders in Switzerland, we contacted the national
platform of the Swiss Clinical Trial Organisation for trial
monitoring. Finally, we gathered experiences from inter-
national methodological research groups and UK-based
CTUs using risk-based approaches or study dashboards
to support trial conduct. The different activities with
stakeholders at all levels are summarized in Supplemen-
tary Table 2. We extracted information from protocols of
meetings and interviews and summarized the output in
Supplementary Table 3.
Contextual analysis
Stakeholder involvement
We set up a local, multidisciplinary working group
including end users and representatives of different
stakeholder groups within the Department of Clinical
Research (DKF) and associated research groups at the
University Hospital Basel. At this local level, we involved
members from the Data Science and Data Management
Teams of the DKF experienced in central monitoring, R
shiny applications, dashboard development, database
structures and exports; we involved trial monitors with
experience in on-site and remote monitoring, knowl-
edge of study site structures and processes; study coor-
dinators and investigators experienced in managing
RCTs. Stakeholder meetings with all members of these
Gathering contextual input from various end users and
the above-mentioned stakeholders guided the devel-
opment of the risk-tailored approach and helped to
determine relevant domains and applications to be con-
sidered in the initial risk assessment. We structured the
identified stakeholder needs into content related fac-
tors such as the inclusion of the follow-up visits into the
risk assessment, and design related factors such as the
suggested separation of severity and likelihood in the
assessment or the colour code for the status of queries
visualized in the dashboard (Supplementary Table 3). In
terms of content of the risk assessment, it became clear,
for instance, that the assessment covers a wide spectrum
of risks applicable to a large variety of RCTs. The design
Klatte et al. BMC Medical Research Methodology (2023) 23:84
of the risk assessment guide should support the intuitive
assessment by different end user groups (monitors, study
managers, principal investigators). The study dashboard
should reflect the outcome of the risk assessment and the
design of the dashboard should enable an efficient navi-
gation within the routine study procedure by end-users.
The findings of the contextual analysis are summarized in
Supplementary Table 3.
Development and piloting of the concept and dashboard
Based on the systematically reviewed literature, our
contextual analysis and stakeholder input, we drafted a
generic risk-assessment template. We then created trial-
specific dashboards for a medical and a surgical mul-
ticentre trial that differed in their risk profile, but both
comprised complex study procedures and data collec-
tion. The risk-tailored approach continued to evolve as
we gathered contextual information, detected gaps in the
assessment procedure, and identified critical components
of study management. We developed R code to extract
data values from exported data tables of the trial database
secuTrial and summarized, compared, and calculated rel-
evant information to create pathways for the identified
risks. The output of these operations was then visual-
ized in the trial dashboard. The piloting and refinement
was an iterative process incorporating repeated feedback
from the end-users and the stakeholder representatives
in the project group on dashboard content, structure,
user-friendly interface, and visualization of critical study
data.
User testing
The aim of the user testing was to identify challenges in
the routine use of the dashboard experienced by different
user groups. Each of the six users (i.e. 2 trial managers,
2 monitors, 2 principal investigators) received a detailed
manual of the features and operation mode of the study
dashboard.
Table 1 Domains and their attributed risk elements
Domain
Participant Safety and
Rights
Overall Study
Management
Device/ Medication
Management
Study Data
Risk Elements
Informed consent
AE/SAE reporting and documentation
Inclusion/exclusion
Recruitment
Retention
Study procedures and endpoint assessment
(e.g. bio sampling, imaging quality)
Participant schedule (e.g. timeframe of visits)
AE/SAE management
Administration
Accountability/ storage
Data quality – completeness, consistency,
timeliness
Documentation/ storage
Abbreviations: AE, adverse event; SAE, serious adverse event
Page 4 of 11
We interviewed users 6–12 weeks after using the study
dashboard in daily trial routine. We followed a semi-
structured interview guide, which allowed for expan-
sion on topics that emerged during the interview. All
interviews took approximately 30 min. The interviewer
(KK) transcribed the recorded interviews and extracted
suggestions for improvement. We then updated the trial
dashboard based on the feedback of the users and pro-
vided the adapted version for further use and evaluation.
Results
The final concept consisted of the following three steps:
trial-specific risk assessment prior to study start, selec-
tion and development of data-based pathways to address
identified risks, and visualization of pathways output in a
trial dashboard.
Trial-specific risk assessment
The
four
trial-specific risk assessment comprised
domains (participant safety and rights, overall study
management, device/medication management, study
data), and each domain contained several risk elements
(Table 1). To better assess if these elements are critical
for a specific trial and which trial components are at par-
ticular risk, we determined trial assets and corresponding
risk scenarios. Trial assets are conditions essential for the
successful and proper conduct of a trial, e.g. visits must
be scheduled and take place in the required timeframe,
Serious Adverse Events (SAEs) have to be reported on
time and need to be closely followed over the whole study
conduct. If a trial includes many follow-up visits over a
long follow-up time and assessments have to take place
in a very narrow time window, this asset would be con-
sidered at risk (example shown in Table 2, Part A). Other
assets, for example SAE reporting and oversight, are
essential for all clinical trials and, thus, are considered
as a risk that applies to all trials (marked in red, Example
shown in Table 2, Part B). The identified risks are then
analysed in terms of severity and likelihood. For exam-
ple, if many follow-up visits need to be coordinated but
the time window of the endpoint assessment is wide the
severity is rated as less critical. The likelihood is highly
influenced by the experience of the trial team and partici-
pating centres with similar trials, training and experience
of all involved staff members, and the resources available
for the study.
The complete list of assets, as well as the corresponding
risk scenarios, is provided in the full risk assessment in
Supplementary Table 4. We suggest that the risk assess-
ment is done by an experienced trial manager (e.g. from
a trials support unit) supported by a trial monitor, a clini-
cal expert, and the principal investigator. The first risk
assessment should be performed before the start of the
trial based on the study protocol, Case Report Forms
Klatte et al. BMC Medical Research Methodology (2023) 23:84 Table 2 Example of assets and risk scenarios for risk elements in
the domain Overall Study Management (Part A) and Participant
Safety and Rights (Part B). Assets that apply to all trials are marked
in red
A)
Domain
Overall Study
Management
Risk element
Participant
Schedule
Asset
Visits/Phone
calls must
be within
the given
Timeframe
Risk scenario
(A) Time point of
visit is critical for the
endpoint assess-
ment of the study
(B) Large number
of visits are difficult
to organize and
coordinate between
centres and patients
B)
Domain
Participant Safety
and Rights
Risk element
SAE/AE
Asset
SAE have to
be re-
ported and
documented
correctly in
the required
timeframe
Risk scenario
Complexity of CRF or
missing SOPs for SAE
Reporting leads to
(A) Incorrect docu-
mentation and
(B) Delayed report-
ing of SAEs
Abbreviations: CRF, case report form; SOPs, standard operating procedures;
SAE, serious adverse events
(CRFs), the planned and actual budget of the study,
expected recruitment rates for all participating centres,
information on the trial intervention, and information
about planned study staff (see Appendix for detailed
Manual).
Pathways to manage identified risks
In order to continuously manage identified risks, we cre-
ated pathways that eventually allowed for tailored visu-
alization of accumulating trial data and implemented
action at suitable time intervals (e.g., email reminders,
staff overviews) in a study dashboard. The operations
applied to the exported data tables via R code are depen-
dent on the specific information needed to provide a
clear oversight on identified risk elements. The code is
structured into modules that contain the operations of
all pathways visualized in one dashboard tab (e.g. SAE
management). For example, the module SAE contains
operations that count the number of SAEs, determine
the number of patients with SAE and calculate the ratio
SAEs per patient randomized. In addition, information
like severity, causality and outcome are extracted from
the SAE form data table and percentages of value options
(e.g. SAE outcome: Continuing, Resolved without sequel,
Resolved with sequel, others) are calculated and graphi-
cally displayed (Fig. 2, Panel A and B). The developed
study dashboards contain tabs that visualize the output
of created pathways reflecting identified study-specific
risks. These tabs are based on the R modules contain-
ing the pathways as well as the code required for a clear
Page 5 of 11
visual presentation (value boxes, graphs, lists). When
pilot testing our risk assessment guide, it became appar-
ent that some risks apply to almost all trials (marked in
red in the full risk assessment Supplementary Table 4).
The management of these risks is, thus, based on tabs
classified as “generic” in the study dashboard, while other,
more seldom and study-specific risks are considered in
“optional” tabs (Table 3). The content of generic tabs can
also be adapted depending on, for instance, the complex-
ity or time point of outcome assessment in a trial. The
generic dashboard template is freely available on GitHub
(https://github.com/CTU-Basel/viewTrial).
Visualization of data based pathways
The output of the pathways is visualized in the corre-
sponding tabs in the study dashboard. The arrangement
of the tabs within the study dashboard can be determined
by study teams; a division into study management related
tabs and oversight/study progress tabs may provide a
better overview for the different user groups (principal
investigator, study manager, and trial monitor). The main
tabs can also contain sub-tabs. For example, the num-
ber of due visits is displayed under the visits tab in the
sub-category “due visits”. In this context, the definitions
of due, overdue, and missed visits are dependent on the
specific timeframes of the study protocol. Total num-
bers are provided as well as a list of the patient ID and
a direct link to the corresponding eCRF in the database
(Fig. 2, Panel A). Each tab or sub-tab can represent sev-
eral pathway outputs displayed in form of value boxes,
graphical presentations, or lists of relevant patients. For
example, the SAE management tab provides an overview
on SAE prevalence in boxes, and in additional panels the
user can switch between the graphical representation of
SAE severity, causality, and outcome. Additionally, a list
of patients with SAE is provided below, displaying infor-
mation on SAE status (e.g. ongoing/closed) and a short
description of the event (Fig. 2, Panel B). The informa-
tion is provided for the overall study, including all ran-
domized patients as numbers and percentages in boxes,
while graphs differentiating between centres are provided
to better assess which centres are in need for support in
a certain aspect of the study conduct. In addition, the
dashboard allows filtering for specific centres and time
ranges of interest or choosing particular study visits from
drop down menus to provide users with more detailed
information (see Supplementary Fig. 1 for an example).
The output of the pathways visualized in the dash-
board is based on a daily export of trial data and, thus,
includes up-to-date information on randomised patients
and entered data. The generic and some of the optional
tabs are listed in Table 3. Examples of the tabs from the
two study dashboards are provided in Supplementary
Figs. 2–5. The generic dashboard is accessible via GitHub
Klatte et al. BMC Medical Research Methodology (2023) 23:84 Page 6 of 11
Fig. 2 Dashboard screenshots of the Visits tab, sub-tab “Due visits” (Panel A), and the Safety management tab, sub-tab “Serious adverse events” (Panel B)
and generic data is provided to test the different code
modules behind each tab (examples provided in Supple-
mentary Figs. 6 and 7).
suggestions for further elements to be included in the
dashboard. A detailed summary of the results from the
user testing is provided in Supplementary Table 5.
User testing
The user testing of our study dashboards provided posi-
tive feedback in terms of improved study oversight and
facilitated conduct. Trial monitors and study staff agreed
that the initial risk assessment was beneficial, because it
increased the awareness of critical processes in the col-
lection of outcome data, enabling corrective measures
at an early time point, e.g. adaptation of database struc-
tures. A clear benefit perceived by all user groups was
the more frequent and improved communication with
trial sites; sites were better prepared for remote or on-site
monitoring visits, because many issues were recognized
and solved in advance. In addition, users made several
Discussion
Using a systematic approach involving relevant stake-
holder groups, we developed a concept of risk-tailored
trial monitoring and management that focuses on the
identification and control of trial specific risks during
trial conduct. The continuous evaluation of most impor-
tant risks provides important information about the
study progress, e.g. in terms of recruitment, endpoint
assessment, as well as in terms of data management and
data quality, e.g. CRF completion, timeliness of follow-
up visits. Completeness of essential data points as the
basis for analysable patient data is continuously evalu-
ated and trial monitors and study managers maintain an
Klatte et al. BMC Medical Research Methodology (2023) 23:84
Table 3 Structure and content of dashboard tabs
Domain
Participant
Safety and
Rights
Risk Elements
Informed consent
Example Tabs
Informed
consent
AE/SAE reporting and
documentation
AE/SAE
Inclusion/exclusion
Safety
Overall Study
Management
Recruitment
Recruitment
Patient
Characteristics
Retention
Retention
Study procedures and
endpoint assessment
Bio sampling
(e.g. blood
samples)
Imaging quality
Content of Tab
In case of a re-consent this
tab can provide an overview
of patients patients who have
previously not been able to
give consent themselves
Provides an overview of
timeliness and completeness
of AE/SAE entries
In case of safety-relevant
inclusion or exclusion criteria,
a verification of relevant
information available in the
database can provide ad-
ditional security (e.g. blood
pressure has to be within a
certain range – check for the
entry of blood pressure in the
database)
Recruitment trajectories for
expected and actual recruit-
ment in total and per centre
(Supplementary Fig. 2)
Relevant patient character-
istics are summarized and
presented (e.g. gender, age,
background of treatment)
Patients who have ended the
study resulting in missing
outcome data, reasons for
leaving the study, kind of data
collected before study end
(Primary outcome data avail-
able) (Supplementary Fig. 3)
Overview of samples taken
and availability of sample
results
Automated and visual verifica-
tion of imaging data quality,
e.g., for MRI or CT
Participant schedule:
Follow-up visits Overview of follow-up visits
AE/SAE management Safety manage-
ment (SAEs, AEs)
with a particular focus on
visits where primary outcome
data is collected. (Fig. 2, Panel
A)
The Safety tab provides an
overview of SAEs and AEs
that have been reported in
the study and information
on severity and outcome of
SAEs/AEs (Fig. 2, Panel B)
Page 7 of 11
Generic/Optional
Optional
Generic
Optional
Functionality/Purpose
To ensure patient rights and
support of re-consent process
through site-specific reminders,
list of patients that still need a
re-consent.
To ensure that all AE/SAE forms
are complete and that the date of
first entry is within the required
reporting timeframe
To provide the option for addi-
tional checks for inclusion/ exclu-
sion criteria besides the marked
list of criteria in the eCRF
To monitor the progress of partici-
pant recruitment enabling early
action in case of slow recruitment.
Generic
Generic
Generic
Optional
Optional
Optional
Generic
To inform the study team on the
accuracy of inclusion/exclusion
criteria and provide an overview
of the sample population in terms
of relevant characteristics
To monitor the progress of partici-
pant retention, consider reasons
for ending study in recruitment.
Time point of ending the study
important for amount of data
analysable.
To support sample management
in terms of localization and status
of bio sample. Important for
biomarker determination.
To enable early adjustments in
case of low quality imaging data
and ensure that the imaging data
is analysable.
To assist in integrating follow-up
visits on time into the daily clinical
routine might be difficult for trial
sites. Support through remind-
ers for due visits can be initiated
through the dashboard.
To estimate potential safety issues
(e.g. SAEs occurring more often in
one study arm, number of SAEs
in total, number of patients with
SAE)
Klatte et al. BMC Medical Research Methodology (2023) 23:84 Table 3 (continued)
Domain
Device/
Medication
Management
Risk Elements
Administration
Accountability/
storage
Example Tabs
Medication
Study Data
Data Quality
Data quality – com-
pleteness, consis-
tency, timeliness
Documentation/
storage
Content of Tab
Overview of medication con-
sumption based on number
of patients and their current
position in the medication
plan per protocol and com-
parison with IMP stock at sites
Completeness of forms
(Primary end point, secondary
endpoint, SAE/AE forms)
Timeliness of data entry,
Number of queries, status of
queries (open, resolved)
(Supplementary Figs. 4,5)
Page 8 of 11
Functionality/Purpose
To assist in the managing of
IMP stock overview and enable
reminders for restocking
Generic/Optional
Optional
Generic
To increase awareness of items
missing in the database
Trial sites may have different chal-
lenges when integrating a trial
in their daily clinical routine and
therefore need support in differ-
ent aspects of the study conduct.
Completeness and timeliness of
data entry as well as query man-
agement constitute indicators for
need of support.
Query status helps the study
monitor to decide which centre
needs more assistance/ on-site
visit.
Abbreviations: AEs, adverse events; CT, computerized tomography ;IMP, investigational medicinal product; MRI, magnetic resonance imaging; SAEs, serious adverse
events
overview of visit timeframes, SAE reporting, and query
management.
Strengths and limitations
Strengths of our study are the systematic and structured
process of development of the risk assessment and the
trial dashboard, which included the involvement of all
local stakeholder groups and the performance of a com-
prehensive contextual analysis. In addition, the devel-
opment was based on prior evidence gathered through
systematic literature searches and exchange with interna-
tional stakeholder groups. Directly involving end users in
developing and evaluating the usability of our tool may
facilitate the implementation process, promote wider
adoption, maintain involvement, and increase user satis-
faction with the concept as well as the tool [33]. Providing
an R code repository for other study teams that can be
adapted and applied to differently structured databases,
constitutes a software-independent, affordable approach
for the limited budget of investigator-initiated trials.
Our study has the following limitations: First, we per-
formed user testing in two ongoing RCTs only, and, thus,
the spectrum of feedback may have been limited and
may compromise the extrapolation of mentioned ben-
efits and disadvantages to other trials. Both RCTs had
already started participant recruitment when the dash-
board was implemented. This allowed for a qualitative
comparison of management and monitoring processes
without and with the dashboard tool in place. However,
it will be crucial to subsequently evaluate the impact and
value of the study dashboard during the entire course
of a clinical trial. Since both RCTs are still ongoing, we
could not evaluate the impact of the tool on participant
safety and overall trial success, including the percentage
of analysable data, at the end of a trial. Lastly, we have
not yet evaluated any cost-effectiveness of our developed
approach, e.g. assessing whether the dashboard has the
potential to reduce monitoring and management hours
needed to ensure a safe and successful trial conduct.
While some users felt that our dashboard would only be
worthwhile for multicentre trials, others found that the
costs of providing a study dashboard will always depend
on the needs and preferences of the study team and the
complexity of the study.
Comparison with similar studies and frameworks
Following the recommendations of the Clinical Trials
Transformation Initiative (CTTI), effective and efficient
monitoring and management needs to first determine
what matters for a specific trial and focus on areas of
highest risk for generating errors that matter [34, 35].
With our risk assessment guide and the study dashboard
we address the need for this focus and provide a tool that
supports the continuous oversight of the quality of the
trial conduct.
Dashboards that visualize time-dependent parameters
have recently met a growing acceptance in medical and
administrative health care settings [36–43]. Dashboards
have been introduced to support various aspects of
clinical trials, including web applications for eligibility
screening and overview of the enrolment progress [41],
web-based support of recruitment management and
Klatte et al. BMC Medical Research Methodology (2023) 23:84
Page 9 of 11
communication; [42] graphical summaries and diagrams
of the progress of patient accrual and form completion
[43], feedback on data completeness by using a traffic
light system [44], and automated reports of data compli-
ance, protocol adherence and safety [45]. These available
dashboards typically focus on specific elements of trial
conduct and communication with trial sites; however,
our dashboard provides a comprehensive overview of
all elements of a trial identified as critical. In addition,
tables and graphical representations are often limited to
certain time intervals [41]. The daily export of trial data
providing up-to-date trial information is part of the core
idea of our approach as it enables immediate actions and
improves communication with site staff.
Various methods for assessing the risk of non-conform
trial conduct at trial sites including central statistical
monitoring have been introduced in the academic set-
ting with increasing prevalence [46]. Most methods use
statistical testing of all or a subset of trial data items to
compare sites and identify atypical trial centres. While
many methods focus on the detection of data errors and
fraud, [47] triggered monitoring is frequently used to
direct on-site monitoring to atypical trial sites [46]. In
our approach components of central data evaluations are
used to assess whether actions are required constituting
some sort of triggered intervention. However, the data
evaluation is not based on statistical testing, it is rather
an assessment of trial progress (recruitment, retention),
management challenges, and conform data collection
progress. It is also not intended to categorize trials and
predetermine the extent of on-site monitoring [48]. Our
concept focuses on directing attention to the most criti-
cal areas of a trial and should help to minimize and tailor
on-site monitoring.
Several commercial solutions supporting the over-
all trial conduct in various aspects are readily available
[9, 49–53], but for investigator-initiated trials with tight
budgets such software packages typically remain unaf-
fordable. We wanted to provide a comprehensive and
affordable option for investigator-initiated trials that can
be adapted to individual needs and preferences and fur-
ther developed by the research community. Therefore,
we transparently present all details of the structured
risk assessment and manual as well as the generic code
for our dashboard in publicly accessible repositories via
GitHub. We invite users to report difficulties or sugges-
tions for improvement for consideration in future modifi-
cations of the generic dashboard via GitHub.
Implications
Besides the emphasis on the feasibility and design of clin-
ical trials, measures to increase the efficiency of clinical
trial conduct are needed [54]. Current challenges include
premature discontinuation of a significant proportion of
clinical trials, and inflated costs mainly due to delayed
recruitment and organisational issues [54]. We propose
a comprehensive approach integrating management and
monitoring of a clinical trial into one risk management
tool supporting the conduct of investigator-initiated
trials.
Overseeing the progress of a trial in each centre based
on up-to-date information, provides the opportunity
for trial monitors to prioritize centres for on-site visits
or remote interactions, tailor their action to the specific
issues of a centre, and guide decisions on where resources
and training is needed the most. In addition, providing
automated reminders for upcoming visits or sampling,
overview of investigational medicinal product supply,
overview of patients who need a re-consent, overview
of ongoing SAEs, etc. could increase the efficiency of the
trial management processes. The tool further provides
the opportunity to improve the overall communication
between the study team and trial sites and may increase
motivation through the involvement of sites in the trial
progress and the option to compliment active partici-
pation in the trial. The dashboard tool is intended to
address site-level monitoring, trial-wide monitoring, and
finding per-patient issues. Feedback from the user testing
also revealed a positive perception of study managers and
investigators to improved data quality visible in the dash-
board: “If incomplete is empty, I am at ease.
The impact of this tool is largely dependent on the suc-
cessful implementation into clinical trial practice. The
perception of benefits and opportunities by stakeholders
and end-users have been collected while the effectiveness
of the tool in terms of analysable data collected, timeline
of recruitment, conformity of SAE/Adverse Event (AE)
reporting and documentation, support of the overall
study management still have to be evaluated.
The next step is now to implement the risk assessment
as a routine step in the joint planning of clinical trials
with the respective study teams. The timely generation
of a dashboard on the basis of the generic template and
further study-specific risks has to be organized. Strate-
gies to further evaluate this implementation process as
well as the effectiveness of this new approach in studies
of different design and structure have to be developed. As
an implementation outcome, the amount of studies tak-
ing advantage of the study dashboard in relation to the
studies for which a dashboard was recommended could
be assessed along with the frequency of risk assessments
performed per trial. The effectiveness of the concept of
risk assessment and dashboard tool will be evaluated
based on structured feedback from study teams on their
experience and quantitative measures of the trial, e.g.
proportion of analysable patients/data at the end of the
trial. These evaluations will provide more information on
the feasibility of study-specific dashboards supporting
Klatte et al. BMC Medical Research Methodology (2023) 23:84 trial monitoring and management in the heterogeneous
field of clinical trials.
Conclusion
In summary, the presented risk-assessment guide and
dashboard tool provide a systematically developed and
user-tested instrument for the risk-tailored support of
trial monitoring and trial management. Feedback from
the user testing of the instrument revealed many benefits
for the involved stakeholder groups. However, the effec-
tiveness of the dashboard in terms of a safe trial conduct
and overall support for a successful completion of clinical
trials needs to be further evaluated.
Supplementary Information
The online version contains supplementary material available at https://doi.
org/10.1186/s12874-023-01902-y.
Supplementary Material 1
Supplementary Material 2
Acknowledgements
We would like to thank all stakeholders that provided feedback in the
development process of our risk assessment and the study dashboard.
Author contributions
K.K., M.B. and C.P.M. wrote the main manuscript text and K.K. prepared the
figures. P.B., A.S., K.E., A.R. and T.F. were involved in the development of the
concept, the risk assessment and dashboard content. S.S. and K.K. developed
the study-specific dashboards and the generic dashboard. K.K. conducted the
interviews for the user testing. All authors reviewed the manuscript.
Funding
Open access funding provided by University of Basel
Data Availability
We provide R modules as the basis for the dashboard development on GitHub
(https://github.com/CTU-Basel/viewTrial). Qualitative data that supported the
development of the risk assessment and study dashboard is provided in the
supplementary material.
Declarations
Ethics approval and consent to participate
Not applicable.
Consent for publication
Not applicable.
Competing Interest
The authors declare no competing interests.
Received: 10 September 2022 / Accepted: 23 March 2023
References
1.
Yusuf S. Randomized clinical trials: slow death by a thousand unnecessary
policies? CMAJ 2004;171(8):889 – 92; discussion 92 – 3. doi: https://doi.
org/10.1503/cmaj.1040884 [published Online First: 2004/10/13]
Page 10 of 11
3.
4.
2.
Eisenstein EL, Lemons PW 2nd, Tardiff BE, et al. Reducing the costs of phase
III cardiovascular clinical trials. Am Heart J. 2005;149(3):482–8. https://doi.
org/10.1016/j.ahj.2004.04.049. [published Online First: 2005/05/03].
Eisenstein EL, Collins R, Cracknell BS, et al. Sensible approaches for
reducing clinical trial costs. Clin Trials. 2008;5(1):75–84. https://doi.
org/10.1177/1740774507087551. [published Online First: 2008/02/20].
Kasenda B, von Elm E, You J, et al. Prevalence, characteristics, and publication
of discontinued randomized trials. JAMA. 2014;311(10):1045–51. https://doi.
org/10.1001/jama.2014.1361. [published Online First: 2014/03/13].
Al-Shahi Salman R, Beller E, Kagan J, et al. Increasing value and reduc-
ing waste in biomedical research regulation and management. Lancet.
2014;383(9912):176–85. https://doi.org/10.1016/S0140-6736(13)62297-7.
[published Online First: 2014/01/15].
Tudur Smith C, Stocken DD, Dunn J, et al. The value of source data verifica-
tion in a cancer clinical trial. PLoS ONE. 2012;7(12):e51623. https://doi.
org/10.1371/journal.pone.0051623. [published Online First: 2012/12/20].
7. Hearn J, Sullivan R. The impact of the ‘clinical trials’ directive on the cost
5.
6.
and conduct of non-commercial cancer trials in the UK. Eur J Cancer.
2007;43(1):8–13. https://doi.org/10.1016/j.ejca.2006.09.016. [published Online
First: 2006/11/23].
8. Duley L, Antman K, Arena J, et al. Specific barriers to the con-
duct of randomized trials. Clin Trials. 2008;5(1):40–8. https://doi.
org/10.1177/1740774507087704. [published Online First: 2008/02/20].
CluePoints.Risk-basedmonitoring. http://cluepoints.com/risk-based-monitor-
ing. 2016 [accessed 31st July 2022.
9.
10. Medidata.Strategic monitoring https://www.medidata.com/wp-content/
11.
uploads/2018/12/Strategic-Monitoring_2018Medidata_Fact-Sheet.pdf2018
[accessed 31st July 2022.
International Conference on Harmonisation of technical requirements
forpharmaceuticals for human use (ICH). Guideline for good clinical practice
E6(R2) Available from: https://www.ema.europa.eu/en/documents/scientific-
guideline/ich-e-6-r2-guideline-good-clinical-practice-step-5_en.pdf2018
[accessed 21st July 2022.
12. Medicines. Healthcare products Regulatory Agency. Good clinicalpractice
guide. The Stationery Office; 2012.
13. Califf RM. Clinical trials bureaucracy: unintended consequences of well-inten-
tioned policy. Clin Trials. 2006;3(6):496–502. doi: 10.1177/1740774506073173
[published Online First: 2006/12/16].
14. Sertkaya A, Wong HH, Jessup A, et al. Key cost drivers of pharmaceutical
clinical trials in the United States. Clin Trials. 2016;13(2):117–26. https://doi.
org/10.1177/1740774515625964. [published Online First: 2016/02/26].
15. Funning SGA, Eriksson K, Kettis-Lindblad. A Quality assurance within the
scope of good clinical practice (GCP) - what is the cost of GCP-related activi-
ties? A survey within the Swedish Association of the Pharmaceutical industry
(LIF)’s members. Qual Assur J. 2009;12:3–7.
16. Ecrin. Risk-Based Monitoring Toolbox Available from: https://ecrin.org/tools/
risk-based-monitoring-toolbox2021 [
17. Klatte K, Pauli-Magnus C, Love SB, et al. Monitoring strategies for clinical inter-
vention studies. Cochrane Database Syst Rev. 2021;12:MR000051. https://doi.
org/10.1002/14651858.MR000051.pub2. [published Online First: 2021/12/09].
18. Baigent C, Harrell FE, Buyse M, et al. Ensuring trial validity by data quality
assurance and diversification of monitoring methods. Clin Trials. 2008;5(1):49–
55. https://doi.org/10.1177/1740774507087554. [published Online First:
2008/02/20].
19. Love SB, Armstrong E, Bayliss C, et al. Monitoring advances including consent:
learning from COVID-19 trials and other trials running in UKCRC registered
clinical trials units during the pandemic. Trials. 2021;22(1):279. https://doi.
org/10.1186/s13063-021-05225-5. [published Online First: 2021/04/16].
20. Farrell B, Kenyon S, Shakur H. Managing clinical trials. Trials. 2010;11:78.
https://doi.org/10.1186/1745-6215-11-78. [published Online First:
2010/07/16].
21. Medical Research Council. Clinical trials for tomorrow: an MRC Review of
Randomised Control trials. Medical Research Council; 2003.
22. Love SB, Yorke-Edwards V, Diaz-Montana C, et al. Making a distinction
between data cleaning and central monitoring in clinical trials. Clin Trials.
2021;18(3):386–88. https://doi.org/10.1177/1740774520976617. [published
Online First: 2021/03/04].
23. Swiss Clinical Trial Organisation (SCTO). F dated. Fact sheet: Central Data
Monitoring in Clinical Trials – V 1.0. available from www.scto.ch/monitoring
SCTO; [accessed May 3rd 2022.
24. Venet D, Doffagne E, Burzykowski T, et al. A statistical approach to central
monitoring of data quality in clinical trials. Clin Trials. 2012;9(6):705–13.
Klatte et al. BMC Medical Research Methodology (2023) 23:84 https://doi.org/10.1177/1740774512447898. [published Online First:
2012/06/12].
25. Agrafiotis DK, Lobanov VS, Farnum MA, et al. Risk-based monitoring of clinical
trials: an Integrative Approach. Clin Ther. 2018;40(7):1204–12. https://doi.
org/10.1016/j.clinthera.2018.04.020. [published Online First: 2018/08/14].
26. Walden A, Garvin L, Smerek M, et al. User-centered design principles in the
development of clinical research tools. Clin Trials. 2020;17(6):703–11. https://
doi.org/10.1177/1740774520946314. [published Online First: 2020/08/21].
27. von Niederhausern B, Orleth A, Schadelin S, et al. Generating evidence on a
risk-based monitoring approach in the academic setting - lessons learned.
BMC Med Res Methodol. 2017;17(1):26. https://doi.org/10.1186/s12874-017-
0308-6. [published Online First: 2017/02/15].
28. Swiss Clinical Trial Organisation SCTO. Risk assessment Form for Clinical
Research Projects available from: https://www.sctoplatforms.ch/en/tools/risk-
assessment-form-for-clinical-research-projects-30.html2018 [accessed May
3rd 2022.
29. Wilson B, Provencher T, Gough J, et al. Defining a central monitoring
capability:sharing the experience of TransCelerate BioPharma’s Approach,
Part 1. Therapeutic Innov Regul Sci. 2014;48(5):529–35. https://doi.
org/10.1177/2168479014546335.
30. Gough J, Wilson B, Zerola M, et al. Defining a central monitoring
capability:sharing the experience of TransCelerate BioPharma’s Approach,
Part 2. Therapeutic Innov Regul Sci. 2016;50(1):8–14. https://doi.
org/10.1177/2168479015618696.
31. Whitham D, Turzanski J, Bradshaw L, et al. Development of a standardised set
of metrics for monitoring site performance in multicentre randomised trials: a
Delphi study. Trials. 2018;19(1):557. https://doi.org/10.1186/s13063-018-2940-
9. [published Online First: 2018/10/18].
32. Diaz-Montana C, Cragg WJ, Choudhury R, et al. Implementing monitoring
triggers and matching of triggered and control sites in the TEMPER study: a
description and evaluation of a triggered monitoring management system.
Trials. 2019;20(1):227. https://doi.org/10.1186/s13063-019-3301-z. [published
Online First: 2019/04/19].
33. Goodman MS, Sanders Thompson VL. The science of stakeholder engage-
ment in research: classification, implementation, and evaluation. Transl
Behav Med. 2017;7(3):486–91. https://doi.org/10.1007/s13142-017-0495-z.
[published Online First: 2017/04/12].
34. EFFECTIVE AND EFFICIENT CTTIRECOMMENDATIONS, MONITORING AS A
COMPONENT OF QUALITY ASSURANCE IN, THE CONDUCT OF CLINICAL TRI-
ALS Available at. : https://ctti-clinicaltrials.org/wp-content/uploads/2021/06/
CTTI_Monitoring_Recs.pdf2021 [accessed 21st July 2022.
35. CTTI. QUALITY BY DESIGN PROJECT - CRITICAL TO QUALITY (CTQ) FACTORS
PRINCIPLES DOCUMENT Available at. : https://ctti-clinicaltrials.org/wp-con-
tent/uploads/2021/07/CTTI_QbD_Workshop_Principles_Document.pdf 2021
[accessed 21st July 2022.
36. Simpao AF, Ahumada LM, Desai BR, et al. Optimization of drug-drug interac-
tion alert rules in a pediatric hospital’s electronic health record system using
a visual analytics dashboard. J Am Med Inform Assoc. 2015;22(2):361–9.
https://doi.org/10.1136/amiajnl-2013-002538. [published Online First:
2014/10/17].
37. Hartzler AL, Izard JP, Dalkin BL, et al. Design and feasibility of integrating per-
sonalized PRO dashboards into prostate cancer care. J Am Med Inform Assoc.
2016;23(1):38–47. https://doi.org/10.1093/jamia/ocv101. [published Online
First: 2015/08/12].
38. Dowding D, Randell R, Gardner P, et al. Dashboards for improving patient
care: review of the literature. Int J Med Inform. 2015;84(2):87–100. https://doi.
org/10.1016/j.ijmedinf.2014.10.001. [published Online First: 2014/12/03].
Page 11 of 11
39. Waitman LR, Phillips IE, McCoy AB, et al. Adopting real-time surveillance
dashboards as a component of an enterprisewide medication safety strategy.
Jt Comm J Qual Patient Saf. 2011;37(7):326–32. https://doi.org/10.1016/
s1553-7250(11)37041-9. [published Online First: 2011/08/09].
40. Nelson SD, Del Fiol G, Hanseler H, et al. Software Prototyping: a Case Report
of Refining user requirements for a Health Information Exchange Dash-
board. Appl Clin Inform. 2016;7(1):22–32. https://doi.org/10.4338/ACI-2015-
07-CR-0091. [published Online First: 2016/04/16].
41. Arab L, Hahn H, Henry J, et al. Using the web for recruitment, screen, tracking,
data management, and quality control in a dietary assessment clinical valida-
tion trial. Contemp Clin Trials. 2010;31(2):138–46. [published Online First:
2009/11/21].
42. Mattingly WA, Kelley RR, Wiemken TL, et al. Real-time enrollment dashboard
for Multisite clinical trials. Contemp Clin Trials Commun. 2015;1:17–21.
https://doi.org/10.1016/j.conctc.2015.09.001. [published Online First:
2016/02/16].
43. Toddenroth D, Sivagnanasundaram J, Prokosch HU, et al. Concept and imple-
mentation of a study dashboard module for a continuous monitoring of trial
recruitment and documentation. J Biomed Inform. 2016;64:222–31. https://
doi.org/10.1016/j.jbi.2016.10.010. [published Online First: 2016/10/23].
Improving data entry and study compliance efficiently using immediate
audit and feedback tools 5th International Clinical Trials Methodology Con-
ference (ICTMC); 2019. Trials.
44.
45. Automation of clinical trial statistical monitoring. 5th International Clinical
Trials Methodology Conference (ICTMC); 2019. Trials.
46. Cragg WJ, Hurley C, Yorke-Edwards V, et al. Dynamic methods for
ongoing assessment of site-level risk in risk-based monitoring of
clinical trials: a scoping review. Clin Trials. 2021;18(2):245–59. https://doi.
org/10.1177/1740774520976561. [published Online First: 2021/02/23].
47. Kirkwood AA, Cox T, Hackshaw A. Application of methods for central statisti-
cal monitoring in clinical trials. Clin Trials. 2013;10(5):783–806. https://doi.
org/10.1177/1740774513494504. [published Online First: 2013/10/17].
48. Hurley C, Shiely F, Power J, et al. Risk based monitoring (RBM) tools for clinical
trials: a systematic review. Contemp Clin Trials. 2016;51:15–27. https://doi.
org/10.1016/j.cct.2016.09.003. [published Online First: 2016/10/30].
49. PerkinElmer. Risk-based monitoring.: Available at: http://www.perkinelmer.
50.
51.
com/product/risk-based-monitoring-rbm.; [accessed August 18th 2022.
IQVIA. The next wave of central monitoring. Available at: https://www.
iqvia.com/library/white-papers/the-next-wave-of-centralized-monitoring.
[accessed August 18th 2022.
Intelligence TR. Ttirials: a complete risk-based monitoring solution Available
at: https://tritrials.com [accessed August 18th 2022.
52. Cyntegrity. Risk-based monitoring solutions Available at: https://cyntegrity.
com [accessed August 18th 2022.
53. Plc ICON. Patient centric monitoring: preventing and learning from mistakes
Available at: http://www.iconplc.com/icon-views/blog/2015/05/21/patient-
centric-monitorin [accessed August 18th 2022.
54. Swiss Academy of Medical Sciences. White Paper: Clinical Research. Swiss
Academies Communications 2021; 16 (4)
Publisher’s Note
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Klatte et al. BMC Medical Research Methodology (2023) 23:84
| null |
10.1093_nar_gkad331.pdf
|
DA T A A V AILABILITY
The online r esour ce is available without restriction at https:
//www.flyrnai.org/tools/pangea/
| null |
Published online 1 May 2023
Nucleic Acids Research, 2023, Vol. 51, Web Server issue W419–W426
https://doi.org/10.1093/nar/gkad331
PANGEA: a new gene set enrichment tool for
Drosophila and common research organisms
Yanhui Hu 1 , 2 ,* , Aram Comjean 1 , 2 , Helen Attrill 3 , Giulia Antonazzo 3 , Jim Thurmond 4 ,
Weihang Chen 1 , 2 , Fangge Li 2 , Tiffany Chao 2 , Stephanie E. Mohr 1 , 2 , Nicholas H. Brown 3
and Norbert Perrimon 1 , 2 , 5 ,*
1 Department of Genetics, Blavatnik Institute, Harvard Medical School, Harvard University, Boston, MA 02115, USA,
2 Drosophila RNAi Screening Center, Harvard Medical School, 77 Avenue Louis Pasteur, Boston, MA 02115, USA,
3 Department of Physiology, Development and Neuroscience, University of Cambridge, Downing Street, Cambridge
CB2 3DY, UK, 4 Department of Biology, Indiana University, Bloomington, IN 47405, USA and 5 Ho w ard Hughes
Medical Institute, Boston, MA 02138, USA
Received February 21, 2023; Revised March 28, 2023; Editorial Decision April 17, 2023; Accepted April 29, 2023
ABSTRACT
GRAPHICAL ABSTRACT
Gene set enrichment analysis (GSEA) plays an im-
portant role in large-scale data analysis, helping sci-
entists discover the underlying biological patterns
o ver -represented in a gene list resulting fr om, f or
e xample, an ‘omics’ stud y. Gene Ontology (GO) an-
notation is the most frequently used classification
mechanism for gene set definition. Here we present
a new GSEA tool, PANGEA (PAthwa y, Netw ork and
Gene-set Enrichment Analysis; https://www.flyrnai.
org/ tools/ pangea/ ), developed to allow a more flexi-
ble and configurable approach to data analysis us-
ing a variety of classification sets. PANGEA allows
GO analysis to be performed on different sets of GO
annotations, for e xample e xcluding high-throughput
studies. Beyond GO, gene sets for pathway anno-
tation and protein complex data fr om v arious re-
sources as well as expression and disease anno-
tation from the Alliance of Genome Resources (Al-
liance). In addition, visualizations of results are en-
hanced by providing an option to view network of
gene set to gene relationships. The tool also al-
lows comparison of multiple input gene lists and ac-
companying visualisation tools for quick and easy
comparison. This new tool will facilitate GSEA for
Drosophila and other major model organisms based
on high-quality annotated inf ormation av ailable f or
these species.
INTRODUCTION
Modern genetics and genomics owe much to work done us-
ing common model organisms. These models continue to
make a significant contribution to the understanding of de-
velopment, metabolism, neuroscience, behaviour and dis-
ease. With the onset of the ‘big data’ era has come a need
for analysis platforms that deconvolute complex data from
multispecies studies. Model organism databases (MODs)
are knowledgebases dedicated to the cur ation, stor age and
integration of species-specific data for their r esear ch com-
munity. The past decade has seen a number of efforts aimed
at pulling together model organism and human data to
facilitate a more inter disciplinary approach; e xamples in-
clude MARRVEL (Model organism Aggregated Resources
for Rare Variant ExpLoration) ( 1 ), Gene2Function ( 2 ) and
* To whom correspondence should be addressed. Tel: +1 6174327672; Fax: +1 6174327688; Email: perrimon@receptor.med.harvard.edu
Correspondence may also be addressed to Yanhui Hu. Tel: +1 6174327672; Fax: +1 6174327688; Email: claire hu@genetics.med.harvard.edu
C (cid:2) The Author(s) 2023. Published by Oxford University Press on behalf of Nucleic Acids Research.
This is an Open Access article distributed under the terms of the Creati v e Commons Attribution License (http: // creati v ecommons.org / licenses / by / 4.0 / ), which
permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
W420 Nucleic Acids Research, 2023, Vol. 51, Web Server issue
the Monarch Initiati v e ( 3 ). Furthermore, the Alliance of
Genome Resources (Alliance) ( 4 ), a consortium of se v en
model organism databases and the Gene Ontology (GO)
Consortium (GOC), formed recently with the objecti v e of
building an umbrella resource from which users can navi-
gate combined data within a single integrated knowledge-
base. To help support such a r esour ce, the MODs ar e work-
ing to reduce the di v ergence in the way the primary data is
curated, stor ed and pr esented to facilita te compara ti v e and
translational r esear ch.
Although these integrated r esour ces allow sear ch and
comparison across certain data classes, large-scale data
analysis remains in the domain of stand-alone bioinfor-
matic tools such as DAVID ( 5 ), TermMapper ( 6 ), GOrilla
( 7 ), PANTHER Gene List Analysis ( 8 ), WebGestalt ( 9 )
and g:Profiler ( 10 ), with a focus on processing gene list to
extract a statistical measure of shared biological features,
usually termed gene set enrichment analysis (GSEA). The
most frequently used gene set classification in GSEA is GO
annotation, which is based on the most widely-used on-
tology (a hierarchical controlled vocabulary) in biological
r esear ch for the wild-type molecular function(s), biologi-
cal process(es) and cellular component(s) associated with
a gi v en gene product ( 11 , 12 ). Many GSEA tools also incor-
pora te classifica tions from other sources such as Reactome
( 13 ) and KEGG ( 14 ) pathways (e.g. DAVID, WebGestalt
and g:Profiler) and, for human studies, there may be addi-
tional data sources such as the Human Phenotype Ontol-
ogy (HPO) ( 15 ) and Online Mendelian Inheritance in Man
(OMIM) ( 16 ) (e.g. WebGestalt). The addition of gene sets
beyond the GO allows users to extract more classification
information, as well as seek trends and overlap in the en-
riched sets. DAVID and g:Profiler are two of the few re-
sources that make it possible for users to compare differ-
ent sets on the same display; howe v er, the ability to interact
with the results post-processing at these r esour ces is rather
limited.
Despite the abundance of tools, we found that they do
not fully meet community needs, primarily because they
were overly focused on human gene data and were not us-
ing the most up to date data on other species. For exam-
ple, Reactome pa thway annota tion is based on computa-
tional predictions deri v ed from manually curated human
pathways. Ther e ar e a few or ganism-tar geted analysis tools;
the prokaryote-centred GSEA FUNAGE-Pro ( 17 ) is one
example in which the underlying knowledgebase was as-
sembled to cater to the needs of a specific r esear ch commu-
nity. A number of useful gene classification r esour ces (e.g.
pathways , complexes , gene groups) have been developed by
the Drosophila RNAi Screening Center (DRSC) and Fly-
Base, the Drosophila knowledgebase ( 18–22 ). Furthermore,
in FlyBase and indeed across the MODs, ther e ar e se v eral
types of curated data in common, including disease mod-
els, phenotypes and gene expression, which could be used
for GSEA. In contrast to the annotation of gene function
data with GO, which is done in a consistent manner across
multiple organisms, other data types ar e r epr esented within
the MODs in di v erse ways, reflecting some of the technical
differences in the genetics of these organisms. The Alliance
was founded to integra te da ta across many MODs ( 4 ) and
now provides a source of harmonised data that can also
be used for GSEA. To take full advantage of the r esear ch
in di v erse model organisms, we describe our creation of a
new tool that we name PANGEA. Although our primary
focus was on Drosophila genes, we de v eloped PANGEA to
also include r at, mouse, zebr afish, nematode worm data, as
well as harmonised human data to facilitate translational
r esear ch. PANGEA not only incorporates additional gene
set classifications from Alliance and MODs, but also have
implemented the features that enhance the presentation of
enrichment results by allowing the user to select sets and
compare them visually to facilitate interpretation as well
as making it easy to do parallel GSEA for multiple gene
lists. This fle xibility enab les users to adapt the tool to their
needs and allow ‘fortuitous’ discovery by widening the pool
of knowledge for the purpose of analysis.
MATERIALS AND METHODS
Building the knowledgebase for PANGEA
The gene set classification is a way to group genes based on
commonality such as the same biological pathway. We have
collected > 300 000 gene sets from various public r esour ces
(Tables 1 , 2 ) for fruit fly D. melanogaster , the nematode
worm C. elegans , the zebrafish D. rerio , the mouse M. mus-
culus , the rat R. norvegicus and human H. sapiens . For an-
notations based on a controlled vocabulary arranged in hi-
erar chical structur e, such as gene group and phenotype an-
notations from FlyBase, gene-to-gene set relationships were
assembled after the hierar chical structur e was flattened. An
exception was made for GO annotations, which were as-
sembled in two ways, with and without being flattened, al-
lowing users to choose which output is used in the anal-
ysis. GO annotations include evidence codes that indicate
the type of evidence supporting the annotation. For exam-
ple, ‘IDA’ means that an annotation was supported by a
dir ect assay, wher eas ‘ISS’ means that the annotation was
inferred from sequence or structural similarity. Using such
evidence codes, GO gene sets were built with additional
configurations: (i) subsets based on experimental evidence
codes, i.e. excluding annotations only based on phyloge-
netic, sequence or structural similarity and other computa-
tional analyses (IEA, IBA, IBD, IKR, IRD, ISS, ISO, ISA,
ISM, IGC, RCA); (ii) subsets excluding annotations only
supported by high-throughput (HTP) evidence codes (HTP,
HDA, HMP, HGI and HEP); (iii) subsets of GO generic
terms (GO slim) provided by the GOC ( http://geneontology.
or g/docs/do wnload-ontology/#subsets ); (iv) subsets of very
high-le v el GO term classifications used by FlyBase and the
Alliance originally generated to support GO summary rib-
bon displays. For Drosophila phenotype annotations from
FlyBase, we assembled the gene-to-phenotype association
using the ‘genotype phenotype data’ file available in the
FlyBase Downloads page, in which phenotypes are associ-
ated with individual genotypes and controlled vocabulary
identifiers are indicated. This allowed us to extract only
those genotypes where we could be certain that the phe-
notype was associated with the perturbation of a single
Drosophila melanogaster gene (i.e. single classical or in-
sertional alleles). Because different resources use different
gene or protein identifiers, we used an in-house mapping
Nucleic Acids Research, 2023, Vol. 51, Web Server issue W421
pr ogram to synchr onise IDs to NCBI Entrez gene IDs, offi-
cial gene symbols and gene identifiers of species-specific re-
sources, such as MGI and FlyBase (Table 1 ). The PANGEA
knowledgebase stores the information of gene set classifica-
tion, gene annotation obtained from NCBI as well as the
inf ormation f or ID mapping among various r esour ces.
Building gene sets of pr eferr ed tissue expression
To study the di v ersity and dynamics of the Drosophila
transcriptome, the modENCODE consortium sequenced
the transcriptome in twenty-nine dissected tissues ( 23 )
and the processed datasets are available at FlyBase ( http:
//ftp.flybase.net/r eleases/curr ent/pr ecomputed files/genes/ ).
A program was implemented in the Python programming
language to identify genes expressed at a substantially
higher le v els in one tissue versus any other tissue. This
pr ogram first gr oups the RNA-seq datasets based on tissue.
For example, all data related to the nervous system are
grouped together. It then calculates the average reads per
kilobase per million mapped r eads (RPKM) expr ession
values for each gene in each tissue group. Genes were
identified as pr efer entially expr essed in a gi v en tissue group
if their average expression in the tissue group is 3-fold
or higher than the av erage e xpression in any other tissue
group. Genes with average RPKM value lower than 10
were excluded. Genes defined in this way as ‘tissue-specific’
then get annotated with the relevant tissue to generate the
tissues expression classification set.
Datasets used for testing
Drosophila cell RNAi screen phenotype data was obtained
from the DRSC ( https://www.flyrnai.org/ ) via download of
a file of all available public screen ‘hits’ (results) ( https:
//www.flyrnai.org/RN Ai all hits.txt ). RNAi reagents of op-
timal design were selected. The criteria for optimal design
were no CAN or CAR repeat, fewer than six predicted
OTEs (off-target alignment sites of 19 bp) and a single gene
target. CAN and CAR r epeats ar e thr ee base tandem r e-
peats such as CAA CAGCA CCAT (CAN repeat, the third
position can be A, G, C or T) and CAACA GCA GCAA
(CAR repeat, the 3rd position can be A or G). RNAi
r eagents wer e mapped to curr ent FlyBase gene identifiers
using a DRSC internal mapping tool. Screens focused on
major signalling pathways were selected for PANGEA anal-
ysis ( 24–29 ). Proteomics data was obtained from Tang
et al. ( 30 ) and high-confident prey proteins identified by
mass-spec (Supplementary Table S2) were used for analy-
sis.
Gene set enrichment statistics used at PANGEA
Hypergeometric testing is performed to calculate P val-
ues for GSEA using the PypeR function in R. Bonfer-
roni correction for multiple statistical tests, Benjamini-
Hochberg procedure for false discovery rate adjustment,
and Benjamini-Yekutieli procedure for false discovery rate
adjustment were performed using the p.adjust function in
R.
Web tool implementation
PANGEA is a SaaS (Software as a Service) w e b tool ( https:
//www.flyrnai.org/tools/pangea/ ) and is built following a
three-tier model, with a w e b-based user-interface at the
front end, the knowledgebase at the backend, and the busi-
ness logic in the middle tier communicating between the
front and back ends by matching input genes with gene
sets, doing statistical analysis and building visualization
graphs. The front page is written in PHP using the Sym-
f on y frame wor k and front-end HTML pages using the Twig
template engine. The JQuery JavaScript library is used to
facilitate Ajax calls to the back end, with the DataTables
plugin f or displa ying tab le vie ws and Cytoscape and Veg-
aLite packages for the da ta visualisa tions. The Bootstrap
frame wor k and some custom CSS are used on the user in-
terface. A mySQL database is used to store the knowledge-
base. Both the w e bsite and databases are hosted on the O2
high-performance computing cluster, which is made avail-
able by the Research Computing group at Harvard Medical
School.
RESULTS
Pr epar ation of the classified gene sets for GSEA: the
PANGEA knowledgebase
GSEA relies on high-quality annotation of genes / gene
products with information related to their biological func-
tions. For PANGEA, we used multiple sources of annota-
tion to generate > 300 000 different classes of gene func-
tion for fiv e major model organisms ( D. melanogaster, C.
elegans, D. rerio, M. musculus, R. norvegicus ) and human.
For example, pathway annotations allow users to identify
metabolic or signalling pathways that are over-represented
in a gene list and help understand causal mechanisms un-
derlying the observed phenotype from a scr een. P athway
annotations from KEGG, PantherDB, and Reactome, as
well as manually curated Drosophila gene sets, such as Fly-
Base Signalling Pathways and the DRSC PathON annota-
tion ( 18 , 21 ), are included in the PANGEA knowledgebase.
The GO annotation set provides the comprehensi v e
knowledge on gene functions and we store the gene-to-gene
set relationships from GO in two ways. One is the direct
gene-to-GO term associations as obtained from the gene
association file while the other stores the gene-to-GO term
associa tions with considera tion gi v en to child-par ent r ela-
tionships. The latter is recommended for use in GSEA as it
reflects the intended use of the ontology in curation prac-
tice. The direct, gene-to-term set may be useful to under-
stand the depth of annotation for each gene. In addition,
we also generated two gene annotation subsets using evi-
dence codes. The ‘experimental data only’ subset includes
only those gene associations that are supported by experi-
mental evidence codes. The ‘excluding high-throughput ex-
periments’ subset excludes annotations only supported by
HTP evidence codes. Excluding HTP data may be impor-
tant to avoid bias when analysing similar studies ( 31 ). GO
slim subsets are the cut-down versions of GO that give a
broad ov ervie w of the ontology content without the detail
of the specific, fine-grained terms. The PANGEA knowl-
W422 Nucleic Acids Research, 2023, Vol. 51, Web Server issue
Table 1. Species coverage by PANGEA and corresponding species-specific databases
Species
Abbreviation
Species specific
database
URL
Example
Drosophila
melanogaster
Homo sapiens
Mus musculus
Caenorhabditis elegans
Danio rerio
Rattus norvegicus
dm
hs
mm
ce
dr
rn
FlyBase
https://flybase.org
wg, FBgn0284084
HGNC
MGI
WormBase
ZFIN
RDG
https://www.genenames.org
http://www.informatics.jax.org/
https://www.wormbase.org
https://zfin.org
https://rgd.mcw.edu/
WNT1, HGNC:12774
Wnt1, MGI:98953
cwn-1, WBGene00000857
wnt1,ZDB-GENE-980526–526
Wnt1, RGD:1597195
Table 2. Knowledgebase of PANGEA built from various gene annotation r esour ces
Type
Source
URL
Species covered at PANGEA
Gene Ontology
GO
http://geneontology.org/
hs,mm,rn,dr,dm,ce
pathway
pathway
pathway
pathway
pathway
group
group
group
protein
protein
KEGG
REACTOME
PantherDB
FlyBase pathway
PathON
HGNC
FlyBase gene group
GLAD
COMPLEAT
EBI protein complex
phenotype
AGR disease
phenotype
expression
FlyBase phenotype
AGR expression
https://www.genome.jp/kegg/
https://reactome.org/
http://www.pantherdb.org/
https://flybase.org/
https:
//www.flyrnai.org/tools/pathon/
https://www.genenames.org/
https://flybase.org/
https:
//www.flyrnai.org/tools/glad/
https:
//www.flyrnai.org/compleat/
https:
//www.ebi.ac.uk/complexportal
https:
//www.alliancegenome.org/
https://flybase.org/
https:
//www.alliancegenome.org/
hs,mm,rn,dr,dm,ce
hs,mm,rn,dr,dm,ce
dm
dm
dm
hs
dm
dm
dm
hs,mm,rn,dr,dm,ce
hs,mm,rn,dr,dm,ce
dm
mm,rn,dr,dm,ce
Source update
frequency
irregular, usually 1–2
months
unknown
unknown
irregular
2 months
irregular
unknown
2 months
irregular
irregular
2 months
3–4 months
2 months
3–4 months
edgebase includes two sets of GO slim annotations from
differ ent r esour ces.
In addition to GO and pa thway annota tions, MODs
provide organism-specific curation of important aspects of
gene information, such as gene expression and mutant phe-
notype, that are not captured in GO. The Alliance is focused
on the harmonisation and centralisation of major MODs
data ( 4 , 32 ). To take advantage of this effort, we integrated
gene-to-tissue expression and gene-to-disease (model) asso-
cia tion annota tions from the Alliance into the PANGEA
kno wledgebase. As all or ganisms in the Alliance use the
Disease Ontology (DO) for annotation, this set is easily
comparable across species. The Alliance DO annotation set
also includes disease association to model organism genes
via an electronic pipeline using orthology with human dis-
ease genes which expands the set provide by the MODs.
Moreover, for Drosophila genes we assembled an additional
gene set from phenotype annota tion a t FlyBase by extract-
ing phenotype data associated with a ‘single allele’ genotype
(i.e. single classical or insertional alleles), allowing users to
perform meaningful enrichment analyses on this data class
for the first time.
Also included in PANGEA are gene group classifica-
tion (eg. kinases and transcription factors) from organism-
specific r esour ces (human and fly), protein complex anno-
tations for multiple organisms from the EMBL-EBI Com-
plex Portal ( 33 ) and COMPLEAT ( 22 ) and bespoke gene
sets using Drosophila modENcode RNAseq data to iden-
tify genes particularly highly expressed in one tissue (see
Materials and Methods).
In summary, we have assembled > 300 000 different gene
sets that can be used in PANGEA to assess the enrichment
of particular biological features in an input gene list.
Features of the PANGEA user interface
GSEA can be computationally intensi v e because of the
number of gene sets being tested and potentially large num-
ber of genes entered by users. Ther efor e, the step of pre-
processing user’s input by mapping the input gene identi-
fiers to the gene identifiers used for gene set annotation, is
set up as a standalone ID mapping page (accessed by click-
ing ‘Gene Id Mapping’ on the top toolbar) instead of com-
bining it with the analysis step. Gene identifiers supported
by PANGEA include Entrez Gene IDs, official gene sym-
bols and primary gene identifiers from MODs. Users might
need to analyse lists of other identifiers such as UniPro-
tKB IDs and Ensembl gene IDs. Users can use ‘Gene Id
Mapping’ tool and select an organism of choice to map
IDs. As gene annotation is an on-going process, the gene
identifiers as well as gene symbols might change over time.
Even with the same type of gene identifiers such as FlyBase
gene ID, the IDs used by users might be from a different
FlyBase r elease. Ther efor e, ID-mapping step is an optional
Nucleic Acids Research, 2023, Vol. 51, Web Server issue W423
Figure 1. Example of analysing a single gene list using PANGEA. A proteomic interaction dataset was selected from a study of the m6A methyltr ansfer ase
complex MTC ( 30 ). The 75 high-confidence interactors of the four subunits of the MTC (METTL3, METTL14, Fl(2)d and Nito) identified by affinity-
purified mass spectrometry from Drosophila S2R+ cells were submitted via the ‘Search Single’ option at PANGEA and enrichment analysis was performed
over phenotype, GO SLIM2 BP and protein complex annotation from COMPLEAT (literature based). The result was filtered using P value 1 × 10 −5
cut-off and was illustrated as ( A ) a bar graph and ( B ) a network graph of selected gene sets from phenotype annotation and GO SLIM2 BP. Triangle nodes
r epr esent gene sets and circle nodes represent genes while the edges r epr esent gene to gene set associations. ( C ) A network graph for selected gene sets from
phenotype annotation and COMPLEAT protein complex annotation (literature based).
but recommended first step to ensure that the entered IDs
are synchronized with the IDs used by PANGEA gene set
annotation. Users of FlyBase may also directly export a
‘HitList’ of genes generated in FlyBase to the tool by se-
lecting the ‘PANGEA Enrichment Tool (DRSC)’ from the
dropdown ‘Export’ menu (Supplementary Figure S1). An
option for users to upload a background gene list for the
analysis is provided; this may be useful when analysing hits
from a focused screen using a kinase sub-library instead
of a genome-scale library, for example. PANGEA identi-
fies all relevant gene sets and provides enrichment statis-
tics such as P -values, adjusted P -values, and fold enrich-
ment, as well as the genes shared by the input gene list
and gene set members. Users have the option to set differ-
ent P -value cut-offs and visualise the results using a bar
graph, the height and colour intensity of which can be
customised (Figure 1 A). In addition, users can select gene
sets of interest to examine the overlap of genes in differ-
ent gene sets using the ‘Gene Set Node Graph’ visualisa-
tion option. Nodes of different shapes in the network indi-
cate genes or gene sets while edges reflect the gene-to-gene
set relationship. This type of visualisation can help users
identify the most relevant genes in each gene set as well as
commonly shared or distinct gene members of the selected
gene sets (Figure 1 B, C).
An under-appreciated use of GSEA tools is that re-
searchers often use them as simple gene classification tools,
for example, asking ‘which genes in my list are kinases?’ to
help inform further computational or experimental analy-
sis. Having di v erse classification sets is important because
depending on the type of data / experiment being analysed,
different gene sets may be more useful than others. It is often
useful to be able to compare similar gene sets from different
sources to help evaluate the evidence for support. In addi-
tion, PANGEA not only reports genes in an enriched gene
set but also reports genes not covered by the gene set cate-
gory selected, which may be interesting because of their lack
of characterisation. This feature can help user answer ques-
tion like ‘which genes in my list are not covered by KEGG
annotation?’.
W424 Nucleic Acids Research, 2023, Vol. 51, Web Server issue
Figure 2. Examples of analysing multiple gene lists using PANGEA. ( A ) The prey proteins of multiple baits from AP mass-spec dataset ( 30 ) were submitted
via the ‘Search Multiple’ option at PANGEA. The gene sets of protein complex annotation from COMPLEAT were selected. The comparison of enrichment
over annotated protein complexes from the interacting proteins of four different baits was illustrated using a heatma p. ( B ) RN Ai screen data of signalling
pathway studies were obtained from DRSC RNAi data repository ( 24 ) and the hits were submitted via the ‘Search Multiple’ option at PANGEA. The gene
sets of FlyBase pathway annotation were used. The comparison of the enrichment of signalling pathway components from the screen hits of fiv e studies
was illustrated using a heatmap.
Often users need to anal yse m ultiple gene lists and com-
par e the r esults; howe v er, majority of current w e b-based
tools only allow the analysis of a single input list (plus back-
ground). Thus, users have to perform comparisons manu-
ally or using different tools. To address this need, PANGEA
allows users to input multiple gene lists and compare results
directly via a heatmap or a dot plot visualisation. For exam-
ple, users might input gene hits from different phenotypic
scr eens and compar e wha t pa thways, gene groups or biolog-
ical processes that are common or different among results
(Figure 2 ).
Testing the utility of PANGEA
To test the utility of PANGEA, we first analysed a pro-
teomic interaction dataset from a study of the m6A methyl-
tr ansfer ase complex MTC ( 30 ). In this study, using individ-
ual pull-downs of the four subunits (METTL3, METTL14,
Fl(2)d and Nito) of the MTC complex, high-confidence
interactors were identified by mass-spectrometry from
Drosophila S2R + cells. Submitting the combined list
of 75 interacting proteins from the four baits via the
‘Search Single’ option at PANGEA (accessed by click-
ing ‘Search Single’ on the top toolbar) for Fly and per-
forming GSEA over phenotype, SLIM2 GO BP as well
as protein complex annotation from COMPLEAT (liter-
ature based) enrichment, we identified mRNA metabolic
pr ocess (GO:0016071), pr otein folding (GO:0006457), ab-
nor mal sex-deter mination (FBcv:0000436), abnor mal neu-
roanatomy (FBcv:0000435), CCT complex and Spliceo-
some complex among the top enriched gene sets with the
−5 ) (Figure 1 A).
most significant p-values (all < 1 × 10
Next, we visualised SLIM2 GO BP and phenotype annota-
tions using a network gra ph. GO mRN A metabolic process
hits overlap with both abnormal sex-determination and ab-
normal neuroanatomy phenotypes, but GO protein folding
hits onl y overla p with the abnormal neuroanatomy pheno-
type (Figure 1 B). We also visualised protein complex and
phenotype annotations using a different network graph,
showing Spliceosome hits overlap with the phenotypes of
abnor mal sex-deter mination and abnor mal neuroanatomy
while the CCT complex hits only overlap with the abnor-
Nucleic Acids Research, 2023, Vol. 51, Web Server issue W425
mal neuroanatomy phenotype (Figure 1 C). Enrichment of
se x / reproducti v e phenotypes align with known function of
MT C in r egulating the splicing of female-specific Sex lethal
(Sxl) and its roles in alternati v e splicing and se xual dimor-
phism, as well as the germ stem cell dif ferentia tion in the
ovary ( 34 ). These GSEA results are also concordant with
the fact that MTC is also known to have a significant role
in neuronal mRNA regulation. The benefit of the network
visualization is apparent when viewing how the gene set as-
signment overlap (Figure 1 B, C), which re v eals that some
of the MTC interacting proteins are associated with abnor-
mal neuroanatomy phenotype and that the mechanism of
the association is through the CCT complex in the pro-
cess of protein folding. In contr act, the inter acting pro-
teins from Spliceosome have more broad impacts related
to both abnormal neuroanatomy phenotype and abnormal
sex-determination phenotypes through mRNA metabolic
process.
We further analysed the protein complexes associated
with each individual subunit using the ‘Search multiple’
option at PANGEA (accessed by clicking ‘Search Multi-
ple’ on the top toolbar) and inputting the interacting pro-
tein lists for each bait, then compared the enrichment re-
sult using a heatmap visualisation (Figure 2 A). The re-
sults indicated that some complexes, such as spliceosome
subunits, are common to all MTC subunits, whereas some
ar e mor e specific, such as protein complex es CCT com-
plex for METTL14 and METTL13. In addition, we fur-
ther analysed phenotype enrichment for proteins associated
with each individual subunit using the ‘Search multiple’ op-
tion, and comparison of the enrichment results shows many
over lapping phenotypes, particular ly with regard to sterility
(Supplementary Figure S2).
At another use case, we looked at phenotypic cell screen
data. Large-scale RN A interference (RN Ai) screening is a
powerful method for functional studies in Drosophila . At
the DRSC, datasets generated from more than one hundred
scr eens ar e pub licly availab le ( 24 ). We selected fiv e screens
designed to identify the genes for major signalling pathways
and performed a GSEA analysis of the hits using the multi-
ple gene list enrichment function of PANGEA. FlyBase sig-
nalling pathway gene sets were selected and the results of the
fiv e scr eens wer e compar ed side-by-side using a heatmap,
w hich clearl y illustrated enrichment of the core components
of the corresponding pathways, as well as potential cross-
talks between pathways (Figure 2 B).
These use cases of PANGEA for phenotype screening
data as well as proteomics data demonstrate the value of
the tool in validating screen results as well as generating new
hypotheses for further study.
DISCUSSION
GSEA is a computational method used to identify sig-
nificantly over-r epr esented gene classes within an input
gene list(s) by testing against gene sets assembled based on
prior knowledge. Input gene lists are typically from high-
throughput screens or analyses. Here we present PANGEA,
a newly developed GSEA tool with major model organ-
isms as its focus, that includes gene sets that are usually
not utilized by other GSEA tools, such as expression and
disease annotations from the Alliance, phenotype annota-
tions from FlyBase, and GO subsets with different configu-
rations. PANGEA is easy to use and has new features such
as allowing enrichment analyses for multiple input gene lists
and gener ating gr aphical outputs that make comparisons
straightf orward f or users. In addition to the use cases pre-
sented here, i.e. analysing phenotypic screening and pro-
teomic data, we anticipate that the tool will also facilitate
analysis of gene lists from other types of data. For exam-
ple, analysis of single-cell RNA-seq datasets at PANGEA
might help users identify pathways and biological processes
that are characteristic of various cell types. Users will also
be able to answer questions on classification such as, ‘which
genes in this list are kinases?’. PANGEA is designed to ac-
commodate a wide range of biological data types and ques-
tions, providing users with a w e b-based analysis tool that is
easily accessible and user-friendly.
We also note that gene classifications are not static, and
the generic design of the tool means that it will be easy to
update or expand PANGEA for more gene set classification
and / or more species. In de v eloping PANGEA, we sought to
improv e the effecti v eness of GSEA by (i) providing multiple
collections of genes classified by their function in different
ways (classified gene sets); (ii) ensuring the data underly-
ing the classification of gene function was up to date and
(iii) improving the visualization so that results from multi-
ple gene sets or multiple gene lists could be compared easily.
DA T A A V AILABILITY
The online r esour ce is available without restriction at https:
//www.flyrnai.org/tools/pangea/ .
SUPPLEMENT ARY DA T A
Supplementary Data are available at NAR Online.
ACKNOWLEDGEMENTS
We would like to thank the members of the Perrimon lab-
oratory, the FlyBase consortium, the Drosophila RNAi
Screening Center (DRSC), and the Transgenic RNAi
Project (TRiP) for the discussion and suggestions during the
design and implementation of the tool as well as the feed-
back during the tool testing. Additional thanks to Gil dos
Santos (Harvard, US) and Gillian Millburn (Cambridge,
UK) at FlyBase for their genotype-to-phenotype work.
[P41 GM132087]; FlyBase
FUNDING
NIH / NIGMS
grant
NIH / NHGRI [U41HG000739]; UK Medical Research
Council [MR / W024233 / 1]; N.P. is an investigator of
Howard Hughes Medical Institute. Funding for open
access charge: NIH / NIGMS grant [P41 GM132087].
Conflict of interest statement. None declared.
REFRENCES
1. Wang,J., Al-Ouran,R., Hu,Y., Kim,S.Y., Wan,Y.W., Wangler,M.F.,
Yamamoto,S., Chao,H.T., Comjean,A., Mohr,S.E. et al. (2017)
W426 Nucleic Acids Research, 2023, Vol. 51, Web Server issue
MARRVEL: integration of Human and Model Organism Genetic
Resources to Facilitate Functional Annotation of the Human
Genome. Am. J. Hum. Genet. , 100 , 843–853.
2. Hu,Y., Comjean,A., Mohr,S.E., FlyBase,C. and Perrimon,N. (2017)
Gene2Function: an Integrated Online Resource for Gene Function
Discovery. G3 (Bethesda) , 7 , 2855–2858.
3. Shefchek,K.A., Harris,N.L., Gargano,M., Matentzoglu,N., Unni,D.,
Brush,M., Keith,D., Conlin,T., Vasilevsky,N., Zhang,X.A. et al.
(2020) The Monarch Initiati v e in 2019: an integrati v e data and
analytic platform connecting phenotypes to genotypes across species.
Nucleic Acids Res. , 48 , D704–D715.
4. Alliance of Genome Resources Consortium (2022) Harmonizing
model organism data in the Alliance of Genome Resources. Genetics ,
220 , https://doi.org/10.1093/genetics/iyac022 .
5. Sherman,B.T., Hao,M., Qiu,J., Jiao,X., Baseler,M.W., Lane,H.C.,
Imamichi,T. and Chang,W. (2022) DAVID: a w e b server for
functional enrichment analysis and functional annotation of gene
lists (2021 update). Nucleic Acids Res. , 50 , W216–W221.
6. Boyle,E.I., Weng,S., Gollub,J., Jin,H., Botstein,D., Cherry,J.M. and
Sherlock,G. (2004) GO::TermFinder–open source software for
accessing Gene Ontology information and finding significantly
enriched Gene Ontology terms associated with a list of genes.
Bioinformatics , 20 , 3710–3715.
7. Eden,E., Navon,R., Steinfeld,I., Lipson,D. and Yakhini,Z. (2009)
GOrilla: a tool for discovery and visualization of enriched GO terms
in ranked gene lists. BMC Bioinf. , 10 , 48.
8. Mi,H., Muruganujan,A., Huang,X., Ebert,D., Mills,C., Guo,X. and
Thomas,P.D. (2019) Protocol update for large-scale genome and gene
function analysis with the PANTHER classification system (v.14.0).
Nat. Protoc. , 14 , 703–721.
9. Liao,Y., Wang,J., Jaehnig,E.J., Shi,Z. and Zhang,B. (2019)
WebGestalt 2019: gene set analysis toolkit with revamped UIs and
APIs. Nucleic Acids Res. , 47 , W199–W205.
10. Raudvere,U., Kolberg,L., Kuzmin,I., Arak,T., Adler,P., Peterson,H.
and Vilo,J. (2019) g:profiler: a w e b server for functional enrichment
analysis and conversions of gene lists (2019 update). Nucleic Acids
Res. , 47 , W191–W198.
11. Gene Ontology, C. (2021) The Gene Ontology r esour ce: enriching a
GOld mine. Nucleic Acids Res. , 49 , D325–D334.
12. Ashburner,M., Ball,C.A., Blake,J.A., Botstein,D., Butler,H.,
Cherry,J.M., Davis,A.P., Dolinski,K., Dwight,S .S ., Eppig,J.T. et al.
(2000) Gene ontology: tool for the unification of biology. The Gene
Ontology Consortium. Nat. Genet. , 25 , 25–29.
13. Gillespie,M., Jassal,B., Stephan,R., Milacic,M., Rothfels,K.,
Senff-Ribeiro,A., Griss,J., Sevilla,C., Matthews,L., Gong,C et al.
(2022) The reactome pathway knowledgebase 2022. Nucleic Acids
Res. , 50 , D687–D692.
14. Kanehisa,M., Furumichi,M., Sato,Y., Kawashima,M. and
Ishiguro-Watanabe,M. (2023) KEGG for tax onom y-based analysis of
pathways and genomes. Nucleic Acids Res. , 51 , D587–D592.
15. Kohler,S., Gargano,M., Matentzoglu,N., Carmody,L.C.,
Le wis-Smith,D., Vasile vsky,N.A., Danis,D., Balagura,G.,
Baynam,G., Brower,A.M. et al. (2021) The Human Phenotype
Ontology in 2021. Nucleic Acids Res. , 49 , D1207–D1217.
16. Amberger,J.S. and Hamosh,A. (2017) Searching Online Mendelian
Inheritance in Man (OMIM): a Knowledgebase of Human Genes
and Genetic Phenotypes. Curr Protoc Bioinformatics , 58 , 1 2 1–1 2 12.
17. de Jong,A., Kuipers,O.P. and Kok,J. (2022) FUNAGE-Pro:
comprehensi v e w e b server for gene set enrichment analysis of
prokaryotes. Nucleic Acids Res. , 50 , W330–W336.
18. Gramates,L.S., Agapite,J., Attrill,H., Calvi,B.R., Crosby,M.A., Dos
Santos,G., Goodman,J.L., Goutte-Ga tta t,D., Jenkins,V.K.,
Kaufman,T. et al. (2022) Fly Base: a guided tour of highlighted
features. Genetics , 220 , iyac035.
19. Attrill,H., Falls,K., Goodman,J.L., Millburn,G.H., Antonazzo,G.,
Rey,A.J ., Marygold,S.J . and FlyBase,C. (2016) FlyBase: establishing a
Gene Group r esour ce for Drosophila melanogaster. Nucleic Acids
Res. , 44 , D786–D792.
20. Hu,Y., Comjean,A., Perkins,L.A., Perrimon,N. and Mohr,S.E. (2015)
GLAD: an Online Database of Gene List Annotation for Drosophila.
J Genomics , 3 , 75–81.
21. Ding,G., Xiang,X., Hu,Y., Xiao,G., Chen,Y., Binari,R., Comjean,A.,
Li,J., Rushworth,E., Fu,Z et al. (2021) Coordination of tumor growth
and host wasting by tumor-deri v ed Upd3. Cell Rep. , 36 , 109553.
22. Vinayagam,A., Hu,Y., Kulkarni,M., Roesel,C., Sopko,R., Mohr,S.E.
and Perrimon,N. (2013) Protein complex-based analysis framework
for high-throughput data sets. Sci. Signal , 6 , rs5.
23. Brown,J.B., Boley,N., Eisman,R., May,G.E., Stoiber,M.H.,
Duff,M.O., Booth,B.W., Wen,J., Park,S., Suzuki,A.M. et al. (2014)
Di v ersity and dynamics of the Drosophila transcriptome. Nature ,
512 , 393–399.
24. Hu,Y., Comjean,A., Rodiger,J., Liu,Y., Gao,Y., Chung,V., Zirin,J.,
Perrimon,N. and Mohr,S.E. (2021) Fl yRN Ai.org-the database of the
Drosophila RNAi screening center and transgenic RNAi project:
2021 update. Nucleic Acids Res. , 49 , D908–D915.
25. Nybakk en,K., Vok es,S.A., Lin,T.Y., McMahon,A.P. and Perrimon,N.
(2005) A genome-wide RNA interference screen in Drosophila
melanogaster cells for new components of the Hh signaling pathway.
Nat. Genet. , 37 , 1323–1332.
26. DasGupta,R., Kaykas,A., Moon,R.T. and Perrimon,N. (2005)
Functional genomic analysis of the Wnt-wingless signaling pathway.
Science , 308 , 826–833.
27. Baeg,G.H., Zhou,R. and Perrimon,N. (2005) Genome-wide RNAi
analysis of JAK / STAT signaling components in Drosophila. Genes
Dev. , 19 , 1861–1870.
28. Kockel,L., Kerr,K.S., Melnick,M., Bruckner,K., Hebrok,M. and
Perrimon,N. (2010) Dynamic switch of negati v e feedback regulation
in Drosophila Akt-TOR signaling. PLos Genet. , 6 , e1000990.
29. Friedman,A.A., Tucker,G., Singh,R., Yan,D., Vinayagam,A., Hu,Y.,
Binari,R., Hong,P., Sun,X., Porto,M et al. (2011) Proteomic and
functional genomic landscape of receptor tyrosine kinase and ras to
extracellular signal-regulated kinase signaling. Sci. Signal , 4 , rs10.
30. Tang,H.W., Weng,J.H., Lee,W.X., Hu,Y., Gu,L., Cho,S., Lee,G.,
Binari,R., Li,C., Cheng,M.E et al. (2021) mTORC1-chaperonin CCT
signaling regulates m(6)A RNA methylation to suppress autophagy.
Proc. Natl. Acad. Sci. U.S.A. , 118 , e2021945118.
31. Attrill,H., Gaudet,P., Huntley,R.P., Lovering,R.C., Engel,S.R.,
Poux,S., Van Auken,K.M., Georghiou,G., Chibucos,M.C.,
Berardini,T.Z. et al. (2019) Annotation of gene product function from
high-throughput studies using the Gene Ontology. Database
(Oxford) , 2019 , baz007.
32. Alliance of Genome Resources, C. (2020) Alliance of Genome
Resources Portal: unified model organism research platform. Nucleic
Acids Res. , 48 , D650–D658.
33. Meldal,B.H.M., Perfetto,L., Combe,C., Lubiana,T., Ferreira
Cavalcante,J .V., Bye,A.J .H., Waagmeester,A., Del-Toro,N.,
Shriv astav a,A., Barrera,E. et al. (2022) Complex Portal 2022: new
curation frontiers. Nucleic Acids Res. , 50 , D578–D586.
34. Lence,T., Akhtar,J., Bayer,M., Schmid,K., Spindler,L., Ho,C.H.,
Kreim,N., Andrade-Navarro,M.A., Poeck,B., Helm,M. et al. (2016)
m(6)A modulates neuronal functions and sex determination in
Drosophila. Nature , 540 , 242–247.
C (cid:2) The Author(s) 2023. Published by Oxford University Press on behalf of Nucleic Acids Research.
This is an Open Access article distributed under the terms of the Creati v e Commons Attribution License (http: // creati v ecommons.org / licenses / by / 4.0 / ), which
permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
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Articles
Direct Modulators of K‑Ras−Membrane Interactions
Johannes Morstein,* Rebika Shrestha, Que N. Van, César A. López, Neha Arora, Marco Tonelli,
Hong Liang, De Chen, Yong Zhou, John F. Hancock, Andrew G. Stephen, Thomas J. Turbyville,
and Kevan M. Shokat*
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*sı Supporting Information
ABSTRACT: Protein−membrane interactions (PMIs) are ubiq-
uitous in cellular signaling. Initial steps of signal transduction
cascades often rely on transient and dynamic interactions with the
inner plasma membrane leaflet to populate and regulate signaling
hotspots. Methods to target and modulate these interactions could
yield attractive tool compounds and drug candidates. Here, we
demonstrate that the conjugation of a medium-chain lipid tail to
the covalent K-Ras(G12C) binder MRTX849 at a solvent-exposed
site enables such direct modulation of PMIs. The conjugated lipid
tail interacts with the tethered membrane and changes the relative
membrane orientation and conformation of K-Ras(G12C), as
shown by molecular dynamics (MD) simulation-supported NMR studies. In cells, this PMI modulation restricts the lateral mobility
of K-Ras(G12C) and disrupts nanoclusters. The described strategy could be broadly applicable to selectively modulate transient
PMIs.
■ INTRODUCTION
Bifunctional molecules targeting biological
interfaces are
emerging therapeutic modalities that are undergoing a rapid
expansion (e.g., PROTACS).1−4 To date, the majority of these
strategies are focused on the modulation of protein−protein
to target protein−membrane
interactions, and methods
interactions (PMIs) have remained relatively unexplored,5,6
despite their central importance in cellular signaling.7,8 Many
targets in cancer signaling (e.g., Ras, PI3K, PKC, AKT)
undergo transient and dynamic recruitment to the inner leaflet
of the plasma membrane (PM), which could be susceptible to
a relatively subtle pharmacological intervention. These targets
include K-Ras4b (hereafter simply referred to as K-Ras), which
is one of the most widely mutated cancer oncogenes.9−11 The
lysine
hypervariable region of K-Ras exhibits a patch of
residues that aid in transiently associating K-Ras with the PM
upon post-translational farnesylation. Inhibition of farnesyla-
tion was extensively explored as a therapeutic strategy to
inhibit K-Ras function but ultimately failed due to alternative
rescued membrane attachment.12 More
prenylation that
recently, switch II pocket engagement has emerged as a direct
strategy to covalently target the mutant allele K-Ras(G12C)
giving rise to two clinically approved inhibitors sotorasib and
adagrasib (Figure 1A).13−18 Moreover, this strategy has been
translated to other mutant alleles K-Ras(G12S),19 K-Ras-
(G12R),20 and K-Ras(G12D),21,22
this
approach could be quite general.
suggesting that
by the C-terminal membrane anchor
that consists of a
farnesylated hexa-lysine polybasic domain. This anchor
selectively associates with defined species of phosphatidylser-
ine to form nanoclusters, comprising 4−6 K-Ras proteins.23−27
In addition, K-Ras diffusion is distinctive when compared to
other paralogs, indicating that the lipid−protein environment
that K-Ras explores is unique.11,28,29 Importantly, the specific
lipid environment within K-Ras nanoclusters facilitates effector
recruitment and activation.30−32 However,
the precise
mechanism underlying this PMI dependence in effector
recruitment is currently unknown. New chemical tools that
enable a precise modulation of these PMIs could therefore
meet a critical need. Additionally, PMIs may present a
therapeutic vulnerability that could be utilized in drug design.
A number of monofunctional approaches to target PMIs have
previously been reported for lipid clamp domains,8,33,34 and a
screening hit for K-Ras with unique membrane-dependent
behavior was found to modulate its PMIs in vitro.35
Herein, we attempted the rational design of bifunctional K-
Ras(G12C) inhibitors with the capacity to directly modulate
K-Ras−membrane interactions (Figure 1B). We envisioned
Received:
Accepted:
Published: August 14, 2023
July 14, 2023
July 31, 2023
K-Ras’ association and interaction with plasma membrane
lipids are essential for its function. K-Ras PMIs are mediated
© 2023 The Authors. Published by
American Chemical Society
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Figure 1. Design and synthesis of direct modulators for K-Ras−membrane interactions. (A) Scheme of direct Ras inhibition. (B) Scheme of a
direct Ras inhibitor that simultaneously modulates its membrane interaction. (C) Crystal structure of K-Ras(G12C) in complex with MRTX849
(PDB 6UT0), highlighting the solvent exposed site of MRTX849.17 (D) Chemical structures of lipidated analogues of MRTX849, C5-MRTX,
C11-MRTX, C18-MRTX, and the noncovalent control compound C11′-MRTX. (E) Synthesis of lipidated MRTX849 conjugates.
that the installation of a second lipid tail on the surface of K-
Ras would allow for modulation of PMIs. To this end, we
the solvent-exposed site of
proposed the modification of
known covalent binders of K-Ras(G12C) with lipophilic
groups. Effects on PMIs were characterized extensively in
vitro and in cellulo.
■ RESULTS AND DISCUSSION
Design and Synthesis of Lipid-Conjugated K-Ras-
(G12C)
the crystal structure of
MRTX849 bound to K-Ras(G12C)17 (PDB 6UT0) revealed
partial solvent exposure of the pyrrolidine fragment of the
Inhibitors. Analysis of
covalently bound ligand (Figure 1C).36 We envisioned that
this site could be utilized to append lipophilic groups on the
surface of K-Ras with the capacity to directly interact with the
membrane. To this end, a series of lipid-conjugated MRTX849
analogues with varying lipid chain lengths were designed
(Figure 1D). A small-chain lipid (SCL) conjugate with a 5-
carbon containing tail (C5-MRTX), a medium-chain lipid
(MCL) conjugate with a 11-carbon tail (C11-MRTX), and a
long-chain lipid (LCL) conjugate with an 18-carbon
containing tail (C18-MRTX) were synthesized. The control
compound C11′-MRTX, which replaced the cysteine-reactive
acrylamide warhead with a nonreactive saturated analogue was
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Figure 2. Biochemical and cell biological characterization of K-Ras(G12C) inhibitors. (A) LC/MS detection of covalent adducts of respective
MRTX849-lipid conjugates to K-Ras(G12C) in vitro after 60 min. (B) Cellular target engagement using a TAMRA-Click assay.40 After 4 h
incubation in H358 cells (G12C/WT), cells were harvested and incubated with TAMRA-azide to label the terminal end of lipids with a
fluorophore. Pellets were blotted for RAS, and the shift of the upper band is indicative of cellular covalent engagement of K-Ras(G12C). (C)
Dynamic light scattering measurement to determine critical aggregation concentration (CAC). Scattering intensity was plotted against logarithmic
concentration. The origins of slope were used to identify the CAC as a starting point of aggregation. (D) Thermal stability shift assay using SYPRO
Orange and covalently modified K-Ras(G12C) in vitro. (E) Cellular viability assay (CellTiter-Glo) of H358 cells with MRTX849, C5-MRTX, C11-
MRTX, and C11′-MRTX (CTRL) after 72 h incubation at varying concentrations.
also produced. All compounds were synthesized from a
previously described MRTX849 intermediate37 and an N-
functionalized prolinol derivative (Figure 1E).
C11-MRTX is a Nonaggregating Potent Cellular
Inhibitor of K-Ras(G12C). In vitro labeling of recombinant
K-Ras(G12C) showed that C5-MRTX and C11-MRTX
undergo rapid covalent modification of K-Ras(G12C), while
the control compound C11′-MRTX and C18-MRTX do not
label K-Ras(G12C) covalently (Figure 2A). To test if these
results translate into cellular labeling of K-Ras(G12C), the
alkyne moiety at the lipid terminus was utilized for copper-
catalyzed azide-alkyne click chemistry38,39 leading to a shift in
sodium dodecyl sulfate−polyacrylamide gel electrophoresis.
Incubation of H358 (WT/G12C) cells with respective
analogues of MRTX for 4 h, subsequent click labeling, SDS
electrophoresis, and western blotting revealed effective cellular
engagement of K-Ras(G12C) in cells by C5-MRTX and C11-
MRTX as observed through a shift in SDS gel electrophoresis
(Figure 2B) of the K-Ras band (note: H358 is a heterozygous
cell line; partial labeling is observed due to the presence of a
wildtype allele). Similar to our intact mass spectrometry
experiments, covalent target engagement was not detected for
C18-MRTX. We hypothesized that this could be due to an
increased propensity of longer lipid tails to form aggregates,
which was confirmed by a dynamic light scattering experiment
(Figure 2C). Interestingly, the critical aggregation concen-
tration of C5-MRTX was lower than that of MRTX849 and
C11-MRTX was comparable to MRTX849. By contrast, C18-
MRTX exhibited a much lower critical aggregation concen-
tration (∼80 nM), which could be limiting its labeling
efficiency and bioactivity.
MRTX849 engages the switch II pocket of K-Ras(G12C)
leading to a marked stabilization of its fold. To assess if our
lipid conjugates behave similarly, we used a thermal shift assay
with SYPRO Orange (Figure 2D). Notably, MRTX849-, C5-
MRTX-, and C11-MRTX-labeled K-Ras(G12C) variants all
showed a large thermal shift compared to nonlabeled K-
Ras(G12C). At the same time, the shift between the three
labeled variants exhibits no detectable differences, suggesting
that the lipid tail does not strongly bind to K-Ras(G12C),
which is desirable for it to potentially interact with the inner
leaflet of the PM. To confirm that C11-MRTX exhibits specific
cellular toxicity in K-Ras(G12C)-driven cancer cell lines, we
performed a cell viability assay with C11-MRTX and the
noncovalent control compound C11′-MRTX (CellTiter-
Glo).13,15 C11-MRTX was found to be significantly more
potent
than the negative control compound (Figure 2E),
which verifies that this inhibitor exhibits potent cellular activity
despite the MCL conjugation.
C11-MRTX Alters the Relative Conformation of K-
Ras(G12C) on the PM. To study the capacity of C11-MRTX
to modulate K-Ras−membrane interactions, we decided to
employ coarse-grained MD simulations with Martini 3 force
fields in conjunction with NMR paramagnetic relaxation
enhancement (NMR-PRE) for K-Ras(G12C)·MRTX849 and
K-Ras(G12C)·C11-MRTX that were chemically tethered to
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Figure 3. MD simulations and NMR-PRE experiments with membrane-tethered K-Ras(G12C). (A) Model of C11-MRTX modified K-Ras(G12C)
tethered to a model membrane for MD simulations. (B) MD simulations revealed transient membrane engagement through the MCL of C11-
MRTX leading to a novel bianchored conformation of K-Ras(G12C) on the membrane. (C) Ranking of membrane contacts of ligands for
simulation with K-Ras(G12C)·MRTX849 (top) and K-Ras(G12C)·C11-MRTX (bottom). (D) Selected peaks from K-Ras(G12C/C118S)·
MRTX849 and K-Ras(G12C/C118S)·C11-MRTX on nanodisks with and without the PRE tag Tempo. (E) Structure of K-Ras(G12C)
highlighting areas that are moved close to the membrane when bound to C11-MRTX relative to MRTX849 in blue and moved further away in red.
(F) NMR-PRE ratios for K-Ras·MRTX849 and K-Ras·C11-MRTX tethered to nanodisks.
lipid nanodisks. MD simulations of K-Ras(G12C)·C11-MRTX
(Figure 3A) revealed transient binding of the C11-MRTX
MCL to the membrane leading to unusual bianchored
conformations of K-Ras(G12C) (Figure 3B). To visualize
the membrane contacts induced by C11-MRTX relative to
ligand−membrane contacts were
MRTX849,
counted (Figure 3C), showing frequent membrane contacts
for
for C11-MRTX but near zero membrane contacts
the direct
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Figure 4. Single-molecule tracking of K-Ras(G12C)·C11-MRTX in HeLa cells. (A) Schematic of HaloTag-tagged K-Ras used for TIRF single-
particle tracking experiment. (B) TIRF image of JF549-chloroalkane labeled HaloTag K-Ras(G12C) in HeLa cells. (C) Representative trajectories
of diffusion for labeled K-Ras(G12C) on the inner leaflet of the PM. Colors represent different single-molecule tracks over time. (D−F) Mean-
square displacement plots calculated from the trajectories obtained for HaloTag K-Ras(G12C) labeled with 50 pM JF549 treated with no drug
(black), 10 μM C11-MRTX (blue), 10 μM C11′-MRTX (green), and 10 μM MRTX849 (orange) for 30 min (D), 1 h (E), and 2 h (F) of
compound incubation. In panels (E, F), the orange and green lines partially cover each other.
MRTX849. To test
these predictions experimentally, we
tethered K-Ras(G12C) to nanodisks and conducted protein
NMR studies. We observed marked chemical shift perturba-
tions comparing K-Ras(G12C) bound to MRTX849 versus
C11-MRTX. These shifts occurred on residues of SI, SII, and
α3 regions (Figure 3D). Residue 63 from the switch II region
had a particularly strong chemical shift response. This was
consistent with the MD prediction of regions in K-Ras(G12C)
moving into closer proximity of the membrane (marked in
blue, Figure 3E). We further conducted NMR-PRE experi-
ments which confirmed greater membrane proximity of
residues 62 to 66 in the switch II region of K-Ras and an
overall decrease in NMR-PRE ratios for β1, α3, and α4
residues (Figure 3F). K-Ras(G12C)·C11-MRTX had a longer
rotational correlation time of 22.8 vs 18.4 ns for K-Ras(G12C)·
MRTX849, which provided additional support for its closer
membrane proximity (Figure S4).
C11-MRTX Modulates the Diffusion of PM-Localized
K-Ras(G12C) in Live Cells. To study if the PMI modulations
observed in MD simulations and NMR experiments translate
to live cells, we decided to study the lateral diffusion of labeled
live cells.11 K-
K-Ras(G12C) on the inner PM leaflet of
internal
Ras(G12C) diffusion was measured using total
reflection microscopy (TIRF) employing a charge-couple
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Figure 5. Nanoclustering of K-Ras(G12C)·C11-MRTX in MDCK cells. (A) TEM image of 4.5 nm gold nanoparticles immunolabeling the GFP-
tagged K-Ras(G12C) at a magnification of 100,000X. (B-D) Color-coded TEM images of the gold-labeled GFP-tagged K-Ras(G12C) treated with
DMSO (B), C11-MRTX (C), and MRTX849 (D). (E, F) Analysis of PM localization and nanoclustering for GFP-K-Ras(G12C) (E) and GFP-K-
Ras(G12D) (F). Error bars indicate mean ± SEM of the at least 15 PM sheet images for each condition. Bootstrap tests evaluated the statistical
significance of the Lmax data, while one-way ANOVA calculated the statistical significance of the gold labeling data, with * indicating p < 0.05.
that
device (CCD) camera for fast frame rate acquisition and a
bright organic dye covalently linked to HaloTag K-Ras(G12C)
overexpressed in HeLa cells (Figure 4A,B). The result
demonstrates
labeling of K-Ras(G12C) with C11-
MRTX leads to marked changes in its dynamic diffusion
along the PM. While no clear trends could be observed within
30 min (Figure 4C), C11-MRTX showed a marked reduction
in diffusion rates compared to MRTX849 and C11′-MRTX
after 1 h (Figure 4D) and further pronounced after 2 h (Figure
4E). We reasoned that the lateral restriction in K-Ras(G12C)
mobility along the plasma membrane is a likely effect of the
additional membrane contacts established by the C11-lipid tail.
We further
the subcellular
distribution of K-Ras, for example by shifting its localization
from the plasma membrane to endomembranes.41 Confocal
imaging of GFP-fused K-Ras did not reveal alterations in the
subcellular localization of K-Ras (Figure S5).
tested if our molecules alter
C11-MRTX Disrupts K-Ras(G12C) Nanoclusters. The
spatial organization of K-Ras on the inner PM leaflet is critical
for its physiological
function. Transient nanoclusters were
found to be the sites where effectors preferentially interact with
K-Ras and are therefore especially critical for its physiological
function.9,42 To test
the lateral
if C11-MRTX affects
organization of K-Ras
into nanoclusters, we conducted
electron microscopy (EM) combined with spatial analysis43
in MDCK cells stably expressing GFP-K-Ras(G12C) or GFP-
K-Ras(G12D) as control. Intact 2D PM sheets from cells
treated with DMSO vehicle control, 10 μM C11-MRTX, or 10
μM MRTX849 for 2 h were fixed and labeled with 4.5 nm gold
nanoparticles conjugated directly to anti-GFP antibody (Figure
5A). The gold particle spatial distributions were quantified
using univariate K-functions expressed as L(r) − r. The
maximum value of this function, Lmax, can be used as a
summary statistic for the extent of nanoclustering. The extent
of nanoclustering, L(r) − r, was plotted as a function of the
length scale, r. The L(r) − r value of 1 is the 99% confidence
the values above which indicate the statistically
interval,
meaningful clustering. Based on this K-function analysis, the
EM images were color-coded to indicate the population
distribution of the gold-labeled GFP-K-Ras(G12C). Larger
L(r) − r values indicate more clustering (Figure 5B−D). We
found that MRTX849 and C11-MRTX treatment both
decreased the gold labeling density when compared with
control,
indicating that MRTX849 and C11-MRTX both
reduced the localization of K-Ras(G12C) to the PM. C11-
MRTX significantly reduced the Lmax value for GFP-K-
Ras(G12C),
indicating that C11-MRTX also disrupted the
nanoclustering of K-Ras(G12C) (Figure 5E). Both MRTX849
and C11-MRTX had no effect on localization or nano-
indicating selectivity for K-
clustering of K-Ras(G12D),
Ras(G12C) (Figure 5F). Combined, these data demonstrate
the ability of the lipidated drug to selectively disrupt the lateral
spatial organization of K-Ras(G12C) on the PM, which is
function of GTP-bound K-
critical
Ras.30,31
the physiological
for
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■ CONCLUDING REMARKS
leaflet of
Herein, we report a bifunctional chemical approach to directly
modulate the interactions between K-Ras(G12C) and the
inner
the PM. This is achieved through the
installation of a C11 medium-chain lipophilic group to the
solvent-exposed site of the covalent K-Ras(G12C) inhibitor
MRTX849. Medium-chain lipids are common in natural
products, occur in drugs (e.g., fingolimod or orlistat), and
may present a sweet spot for bioactive amphiphiles due to their
capacity to partition, while exhibiting a lower propensity to
aggregate compared to longer membrane lipids.44 In our lead
molecule C11-MRTX, the conjugated lipid tail establishes new
interactions with the inner leaflet of the plasma membrane,
resulting in novel bi-anchored conformations of membrane-
tethered K-Ras(G12C). Thereby, the nucleotide binding site
and switch I/II regions are brought in closer proximity to the
PM, as demonstrated through a combination of MD
simulations and NMR experiments.
In cells, C11-MRTX
restricts the lateral mobility of K-Ras which was observed
through a marked reduction in diffusion rates. Finally, C11-
MRTX was found to disrupt K-Ras(G12C) nanoclusters,
which are the sites of Ras effector recruitment and activation
and thus essential for signal transmission of noninhibited K-
Ras. Combined,
these results demonstrate a targeted
modulation of protein−membrane interactions. These types
of interactions are ubiquitous in early steps of cellular signaling,
and our strategy could be translatable to target other signaling
or lipid binding factors. PMI modulators could provide useful
tools to dissect the function of these interactions and hold
promise for the design of novel therapeutic agents.
■ MATERIALS AND METHODS
General Methods. Anhydrous solvents were purchased from
Acros Organics. Unless specified below, all chemical reagents were
purchased from Sigma-Aldrich, Oakwood, Ambeed, or Chemscene.
Analytical thin-layer chromatography (TLC) was performed using
aluminum plates precoated with silica gel (0.25 mm, 60 Å pore size,
230−400 mesh, Merck KGA) impregnated with a fluorescent
indicator (254 nm). TLC plates were visualized by exposure to
ultraviolet light (UV). Flash column chromatography was performed
with Teledyne ISCO CombiFlash EZ Prep chromatography system,
employing prepacked silica gel cartridges (Teledyne ISCO RediSep).
Proton nuclear magnetic resonance (1H NMR) spectra were recorded
on a Bruker Avance III HD instrument (400/100/376 MHz) at 23 °C
operating with the Bruker Topspin 3.1. NMR spectra were processed
using Mestrenova (version 14.1.2). Proton chemical shifts are
expressed in parts per million (ppm, δ scale) and are referenced to
residual protium in the NMR solvent (CHCl3: δ 7.26, MeOD: δ
3.31). Data are represented as follows: chemical shift, multiplicity (s =
singlet, d = doublet, t = triplet, q = quartet, dd = doublet of doublets,
dt = doublet of triplets, m = multiplet, br = broad, app = apparent),
integration, and coupling constant (J) in hertz (Hz). High-resolution
mass spectra were obtained using a Waters Xevo G2-XS time-of-flight
mass spectrometer operating with Waters MassLynx software (version
4.2). When liquid chromatography−mass spectrometry (LC−MS)
analysis of the reaction mixture is indicated in the procedure, it was
performed as follows. An aliquot (1 μL) of the reaction mixture (or
the organic phase of a mini-workup mixture) was diluted with 100 μL
1:1 acetonitrile/water. 1 μL of the diluted solution was injected onto a
Waters Acquity UPLC BEH C18 1.7 μm column and eluted with a
linear gradient of 5−95% acetonitrile/water (+0.1% formic acid) over
3.0 min. Chromatograms were recorded with a UV detector set at 254
nm and a time-of-flight mass spectrometer (Waters Xevo G2-XS).
Intact Protein Mass Spectrometry. Purified K-Ras variants (4
μM final) were incubated with compounds at 50 or 100 μM (1% v/v
DMSO final) in 20 mM HEPES pH 7.5, 150 mM NaCl, 1 mM MgCl2
in a total volume of 150 μL. After the noted time, the samples were
analyzed by intact protein LC/MS using a Waters Xevo G2-XS system
equipped with an Acquity UPLC BEH C4 1.7 μm column. The
mobile phase was a linear gradient of 5−95% acetonitrile/water +
0.05% formic acid. The spectra were processed using QuantLynx,
giving the ion counts observed for the most abundant species.
TAMRA-Click Assay. This assay was performed as previously
described.40 Briefly, cells (500,000 to 1,000,000 cells per well) were
seeded into six-well ultralow attachment plates (Corning Costar
#3471) and allowed to incubate at 37 °C overnight. Cells were treated
with the indicated concentrations of compound combinations and
then incubated at 37 °C for the indicated lengths of time. In
preparation for sodium dodecyl sulfate−polyacrylamide gel electro-
phoresis (SDS−PAGE) and immunoblotting, cells were pelleted at 4
°C at 500 g and washed twice with ice-cold phosphate-buffered saline
(PBS). Lysis was conducted, and copper-catalyzed click chemistry was
performed by addition of the following to each lysate at the following
final concentrations: 1% SDS (20% SDS in water stock), 50 μM
TAMRA-N3 (5 mM in DMSO stock), 1 mM TCEP (50 mM in water
stock), 100 μM TBTA (2 mM in 1:4 DMSO/t-butyl alcohol stock),
and 1 mM CuSO4 (50 mM in water stock). After 1 h at room
temperature, the reaction was quenched with 6× Laemmli sample
buffer before SDS−PAGE.
Dynamic Light Scattering. Measurements were performed using
a DynaPro MS/X (Wyatt Technology) with a 55 mW laser at 826.6
nm, using a detector angle of 90°. Histograms represent the average of
three data sets.
Differential Scanning Fluorimetry. The protein of interest was
diluted with HEPES buffer [20 mM HEPES 7.5, 150 mM NaCl, 1
mM MgCl2] to 2 μM. 1 μL of SYPRO Orange (500×) was mixed
with 99 μL of protein solution. This solution was dispensed into wells
of a white 96-well PCR plate in triplicate (25 μL/well). Fluorescence
was measured at 0.5 °C temperature intervals every 30 s from 25 to 95
°C on a Bio-Rad CFX96 qPCR system using the FRET setting. Each
data set was normalized to the highest fluorescence, and the
normalized fluorescence reading was plotted against temperature in
GraphPad Prism 8.0. Tm values were determined as the temper-
ature(s) corresponding to the maximum (ma) of the first derivative of
the curve.
Cell Viability Assay. Cells were seeded into 96-well white flat
bottom plates (1000 cells/well) (Corning) and incubated overnight.
Cells were treated with the indicated compounds in a seven-point
threefold dilution series (100 μL final volume) and incubated for 72
h. Cell viability was assessed using a commercial CellTiter-Glo
(CTG) luminescence-based assay (Promega). Briefly, the 96-well
plates were equilibrated to room temperature before the addition of
diluted CTG reagent (100 μL) (1:4 CTG reagent/PBS). Plates were
placed on an orbital shaker for 30 min before recording luminescence
using a Spark 20M (Tecan) plate reader.
Molecular Simulations. Coordinates of K-Ras bound to
MRTX849 were downloaded from the pdb database (6UTO).
Missing residues in the HVR were modeled using Modeller,45 as a
disordered region.46 The protein was represented using the Martini
347 coarse-grained force field in combination with the structure-
based48 approach in order to maintain its secondary structure. The
farnesyl group was represented using parameters published before49
and updated in order to keep consistency with Martini 3. MRTX849,
C11-MRTX, and GDP molecules were modeled using the method-
ology published before,50 and bead types were updated accordingly to
match the Martini 3 force field interaction matrix. Harmonic bonds
were used to maintain the stability of the ligands in their respective
binding regions, a methodology used successfully in the past.2 A
membrane lipid bilayer composed of 70:30 POPC/POPS was
constructed using the “insane” tool.51 Before insertion of K-Ras, the
membrane was pre-equilibrated at 310 K for 100 ns. Protein and
ligands were inserted, embedding the farnesyl group into the lipid
bilayer and removing overlapping Martini water beads. Systems were
charge-neutralized, and ions (Na+, Cl−) were added to mimic a 150
mM ionic strength environment. Before production, system boxes
were energy-minimized and trajectories were saved every 2 ns for
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analysis. Each trajectory (2 total) was run for 30 μs. Simulations were
carried out with GROMACS 2018.6,52 using a 20 fs time step for
updating forces as recommended in the original publication. Reaction-
field electrostatics was used with a Coulomb cutoff of 1.1 nm and
dielectric constants of 15 or 0 within or beyond this cutoff,
respectively. A cutoff of 1.1 nm was also used for calculating
Lennard-Jones interactions, using a scheme that shifts the van der
Waals potential to zero at this cutoff. Membranes were thermally
coupled to 310 K using the velocity rescaling53 thermostat. Semi-
isotropic pressure coupling was set for all systems at 1 bar using a
Berendsen54 barostat with a relaxation time of 12.0 ps.
DNA for Protein Production of K-Ras4b(1−185) G12C/
C118S. The gene for protein expression of Hs.K-Ras4b(1−185)
initially
G12C/C118S was generated from a DNA construct
synthesized as a Gateway Entry clone (ATUM, Newark, CA). The
construct consisted of an Escherichia coli gene-optimized fragment
containing an upstream tobacco etch virus (TEV) protease site
(ENLYFQ/G),
followed by the coding sequence of human K-
Ras4b(1−185). An entry clone was transferred to an E.
coli
destination vector containing an amino terminal His6-MBP (pDest-
566, Addgene #11517) tag by gateway LR recombination (Thermo
Scientific, Waltham, MA). The construct generated was R949-x95-
566: His6-MBP-tev-Hs.K-Ras4b(1−185) G12C/C118S. The mem-
brane scaffolding protein expression clone (pMSP delH5) was
obtained from the group of Gerhard Wagner at Harvard University.55
Protein Expression and Purification. K-Ras4b(1−185) G12C/
C118S was expressed following the protocols described in Travers et
al. for 15N/13C incorporation with modifications.49 Specifically, ZnCl2
was omitted and induction after IPTG addition was at 16 °C. Highly
deuterated and 15N-labeled K-Ras protein was expressed using the
protocols described in Chao et al.56 and purified essentially as
outlined in Kopra et al.57 for K-Ras(1−169). pMSP delH5 was
expressed and purified as described in Travers et al.
NMR-PRE Sample Preparation and NMR Data Collection
and Processing. Uniformly 15N/2H-labeled K-Ras(G12C/C118S)
was first labeled with 2.5× excess of MRTX849 and C11-MRTX in 20
mM Hepes, pH 7.48, and 150 mM NaCl overnight at
room
temperature (∼11 h), and excess compounds were removed using a
PD10 column equilibrated with 20 mM Hepes, pH 7.0, and 150 mM
NaCl. Then,
the MRTX849 and C11-MRTX bound K-Ras,
concentration between 182 and 195 μM, were tethered to 2× excess
of delH5 nanodisks composed of 63.75/30/6.25 POPC/POPS/PE
MCC and 57.5/30/6.25/6.25 POPC/POPS/PE MCC/Tempo PC at
room temperature overnight, followed by purification on an AKTA
FPLC with a Superdex 200 Increase 10/300 column to remove
nontethered K-Ras. All
lipids were purchased from Avanti Polar
Lipids. Empty delH5 nanodisks were made as described in Van et al.
with pH 7.0 buffer.58 The final NMR buffer was 20 mM Hepes, pH
7.0, 150 mM NaCl, 0.07% NaN3, and 7.0% D2O. 280 μL of each
sample was enclosed in 5 mm susceptibility-matched Shigemi tubes
(Shigemi, Allison Park, PA) for NMR data collection.
All NMR experiments were acquired on a Bruker AVANCE III HD
spectrometer operating at 900 MHz (1H), equipped with a cryogenic
triple-resonance probe. The temperature of the sample was regulated
at 298 K throughout the experiments. Two-dimensional (2D) 1H,15N-
TROSY-HSQC spectra were recorded with 1024 × 128 complex
points for the 1H and 15N dimension, respectively, 128 scans, and a
recovery delay of 1.5 s for a total collection time of 15 h. All 2D
spectra were processed using NMRPipe59 and analyzed using
NMRFAM-SPARKY.60 The NMR-PRE ratios were calculated from
peak intensities and normalized to 1 (Figure 3F). Chemical shift
perturbations (CSP) were calculated using CSP (ppm) = Sqrt((ΔN2/
25 + ΔH2)/2) (Figure S1). The TROSY spectra for K-Ras·MRTX849
and K-Ras·C11-MRTX tethered to nanodisks without the Tempo
PRE tag are shown in Figures S2 and S3, respectively. Expansion of
the spectral region for residues 61 to 67 is shown in Figure 3D.
To estimate the tumbling time of the K-Ras proteins in solution,
1H/15N-TRACT61 experiments were recorded as a series of one-
dimensional (1D) spectra for the α and β states. For the 15N-α state,
the relaxation delays were set to 0, 5, 10, 16, 22, 30, 40, 50, 64, 80,
100, 130, 170, and 240 ms. The relaxation delays for the faster-
relaxing 15N-β state were set to 0, 1, 2, 4, 7, 11, 15, 20, 26, 32, 39, 47,
56, and 70 ms. Spectra for both the α and β states were recorded in a
in an interleaved fashion. Each FID was
single experiment
accumulated for 1536 scans with a repetition delay between scans
of 1.5 s for a total recording time of 18.5 h for both the α and β states.
The interleaved spectra were separated in topspin using inhouse
written scripts and analyzed using Mestrelab Research Mnova
software. Plots showing the fits to calculate the rotational correlation
time are shown in Figure S4.
K-Ras·MRTX849 Backbone Chemical Shift Assignments. A
sample of uniformly 13C,15N-labeled K-Ras bound to MRTX849 (6.4
mM in 20 mM Hepes, pH 7.0, with 150 mM NaCl, 1 mM MgCl2, 1
mM TCEP, 0.07% NaN3, and 7.0% D2O) was used to collect
sequence-specific assignments of backbone resonances: two-dimen-
sional (2D) 1H,15N-HSQC and three-dimensional (3D) HNCACB,
3D CBCA(CO)NH, 3D HNCA, 3D HN(CA)CO, 3D HNCO
spectra, as well as a 3D NOESY 1H,15N-HSQC spectrum with a 100
ms mixing time. The 1H/15N assignments are shown in Figure S6. To
increase the resolution of the C α cross-peaks in the 13C dimension of
the 3D HNCA spectrum, band-selective shaped pulses (BADCOP)
developed by optimal control theory were utilized to decoupled C α
from C β nuclei.62 All NMR experiments were acquired on a Bruker
AVANCE III HD spectrometer operating at 750 MHz (1H), equipped
with a cryogenic triple-resonance probe. The temperature of the
sample was regulated at 298 K throughout the experiments. All 3D
spectra were recorded using nonuniform sampling (NUS) with
sampling rates ranging between 30.5 and 33.3%. All spectra were
processed using NMRPipe and analyzed in NMRFAM-SPARKY. The
3D spectra recorded with NUS were reconstructed and processed
using the SMILE package available with NMRPipe.
Single-Particle Tracking Experiments. HeLa cells were grown
in Dulbecco’s modified Eagle medium (DMEM) (Thermo Fisher
Scientific) supplemented with 1% 200 mM L-Glutamine and 10% FBS
in a 6-well plate. The HaloTag fusion construct of K-Ras4b(G12C)
was transiently transfected into each well using Fugene 6 transfection
reagent (Promega) and 1.1 μg DNA per well. The protocol
for
plasmid design is described in Goswami et al.11 On the following day,
cells were transferred on to plasma-cleaned coverslips (#1.5, 25 mm).
On the day of imaging, the cells were first labeled with the fluorescent
JF549 HaloTag ligand (Tocris) and then treated with the compounds.
For labeling, the cells were first washed with 3 mL of PBS 3 times,
incubated with 50 pM of JF54963 in complete media for 40 min,
washed with 3 mL of PBS, and then allowed to recover in complete
media for 30 min. For drug treatment, cells were first washed with 3
mL of PBS and then incubated with 10 μM of compound in complete
media for
the indicated time course. Single-particle tracking
experiments were performed on the Nikon NStorm Ti-81 inverted
microscope equipped with thermo-electric-cooled Andor iX EMCCD
camera (Andor Technologies). During imaging experiments, the cells
were maintained at 37 °C and 5% CO2 using a Tokai hit stage
incubator (Tokai Hit Co., Ltd., Japan). The JF549 fluorescent
molecules were illuminated under TIRF mode with the continuous
561 nm laser line from the Agilent laser module at 15% and imaged
with an APO x100 TIRF objective with 1.49 NA (Nikon Japan). A
100 by 100-pixel region (16 × 16 μm2) of interest (ROI) was created
in the cytoplasmic region of the PM in a cell and imaged at a frame
rate of 10ms/frame for a total of 5000 frames. For each experiment, a
minimum of 17 cells were imaged. Single-particle tracking movies
were analyzed using the Localizer plugin embedded in Igor Pro
software.64 Single particles in each frame were localized as spots based
on the eight-way adjacency particle detection algorithm with a
generalized likelihood ratio test (GLRT) sensitivity of 30 and a point
spread function (PSF) of 1.3 pixels. The position of the PSF was
estimated based on a symmetric 2D Gaussian fit function. If the
particles persisted for more than 6 frames, they were then linked
between consecutive frames into tracks. The particles were allowed a
maximum jump distance of 5 pixels and blinking for one frame. For
each experiment, tracks from all of the movies were combined into a
single Matlab file and used to calculate mean-square displacement
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plots using a home-written script in Matlab. The plots were created
using GraphPad Prism software.
FLIM Imaging. In this study, we conducted fluorescence lifetime
imaging (FLIM) experiments on doxycycline (Dox)-inducible eGFP-
tagged K-Ras4b G12C HeLa cells. To generate the Dox-inducible cell
line, HeLa cells (ATCC #CCL-2) were transduced with lentivirus
containing the plasmid construct R733-M42-663 (TRE3Gp > eGFP-
Hs.K-Ras4b G12C) at an MOI of 1.0. The cells were cultured in
DMEM media supplemented with 10× L-Glutamine, 10% fetal bovine
serum (complete media), 4 μg/mL of blastocydin, and 1 μg/mL of
puromycin. Prior to imaging,
the cell media was replaced with
complete media containing doxycycline at a concentration of 500 ng/
mL, and drug treatment was administered at 10 μM for at least 2 h.
FLIM imaging was performed using an Olympus Fluoview FV1000
inverted confocal microscope equipped with the Picoquant LSM
upgrade kit and Picoharp 300 TCSPC module. A picosecond pulsed
diode laser for the green channel (LDH-D-C-485) was used to
illuminate the samples at a repetition rate of 40 MHz, allowing us to
obtain the fluorescence lifetime decay curve. PicoQuant Symphotime
64 software was utilized for fluorescence lifetime fitting and image
analysis. The fluorescence decay curve was fitted to a single-
component n-Exponential tailfit to calculate the fluorescence lifetime
for each pixel. The color scale on the right represents the fluorescence
the mean
lifetime of each pixel
fluorescence lifetime of eGFP-K-Ras G12C was calculated to be
approximately 2.6 ns, as depicted in green within the FLIM
images.65,66
in the FLIM image. Notably,
EM Spatial Analysis. MDCK cells stably expressing GFP-K-
Ras(G12C) or GFP-K-Ras(G12D) were maintained in Dulbecco’s
modified Eagle medium (DMEM) containing 10% fetal bovine serum
(FBS). Cells were treated with DMSO, C11-MRTX, or MRTX849 at
a concentration of 10 μM for 2 h, followed by preparation of the cell
PM for electron microscopy (EM) analysis. An EM spatial
distribution method is used to quantify the extent of K-Ras protein
lateral spatial segregation in the inner leaflet of the PM.26,67 Gold
grids with basal PM were prepared as described previously.30,68
Briefly, MDCK cells expressing GFP-tagged K-Ras mutants were
grown on pioloform and poly-L-lysine-coated gold EM grids. After
treatment, intact basal PM sheets attached to the gold grids were fixed
with 4% paraformaldehyde and 0.1% glutaraldehyde, labeled with 4.5
nm gold nanoparticles coupled to anti-GFP antibody, and embedded
in methyl cellulose containing 0.3% uranyl acetate. Distribution of
gold particles on the basal PM sheets was imaged using a JEOL JEM-
1400 transmission electron microscope at 100,000× magnification.
The EM images were analyzed using ImageJ software to assign x and y
coordinates to gold particles in a 1 μm2 area of interest on the PM
sheets. We use Ripley’s K-function to quantify the gold particle
distribution and the extent of nanoclustering eqs A and B.
(A)
(B)
where K(r) indicates the univariate K-function for the number of gold
particles (n) within a selected area (A), r is the radius or length scale,
||·|| is the Euclidean distance, the indicator function 1(·) is assigned a
−1 is the
value of 1 if ||xi − xj|| ≤ r and a value of 0 otherwise, and wij
proportion of the circumference of a circle with center at xi and a
radius ||xi − xj||. K(r) is linearly transformed to yield a parameter of
L(r) − r, which is normalized on the 99% confidence interval (99%
C.I.) using Monte Carlo simulations. The maximum value of the L(r)
− r function Lmax provides a statistical summary for the extent of
nanoclustering. For each treatment condition (DMSO, C11-MRTX,
or MRTX849), at least 15 PM sheets were imaged, analyzed, and data
pooled. Bootstrap tests were used to calculate the statistical
significance of the nanoclustering data, while one-way ANOVA was
used to estimate the statistical significance of the gold labeling density
as previously described.
■ ASSOCIATED CONTENT
*sı Supporting Information
The Supporting Information is available free of charge at
https://pubs.acs.org/doi/10.1021/acschembio.3c00413.
Chemical shift perturbation plot; plots of the alpha and
beta state signal decay; experimental procedures; and
compound characterization by high-resolution mass
spectrometry (HRMS) and NMR (PDF)
Final video (MP4)
■ AUTHOR INFORMATION
Corresponding Authors
Johannes Morstein − Department of Cellular and Molecular
Pharmacology and Howard Hughes Medical Institute,
University of California, San Francisco, California 94158,
United States;
Email: johannes.morstein@ucsf.edu
orcid.org/0000-0002-6940-288X;
Kevan M. Shokat − Department of Cellular and Molecular
Pharmacology and Howard Hughes Medical Institute,
University of California, San Francisco, California 94158,
United States;
Email: kevan.shokat@ucsf.edu
orcid.org/0000-0001-8590-7741;
Authors
Rebika Shrestha − NCI RAS Initiative, Cancer Research
Technology Program, Frederick National Laboratory for
Cancer Research, Frederick, Maryland 21701, United States
Que N. Van − NCI RAS Initiative, Cancer Research
Technology Program, Frederick National Laboratory for
Cancer Research, Frederick, Maryland 21701, United States
César A. López − Theoretical Biology and Biophysics Group,
Los Alamos National Laboratory, Los Alamos, New Mexico
87545, United States;
orcid.org/0000-0003-4684-3364
Neha Arora − Department of Integrative Biology and
Pharmacology, McGovern Medical School, University of
Texas Health Science Center, Houston, Texas 77030, United
States
Marco Tonelli − National Magnetic Resonance Facility at
Madison, Biochemistry Department, University of Wisconsin-
Madison, Madison, Wisconsin 53706, United States
Hong Liang − Department of Integrative Biology and
Pharmacology, McGovern Medical School, University of
Texas Health Science Center, Houston, Texas 77030, United
States
De Chen − NCI RAS Initiative, Cancer Research Technology
Program, Frederick National Laboratory for Cancer
Research, Frederick, Maryland 21701, United States
Yong Zhou − Department of Integrative Biology and
Pharmacology, McGovern Medical School, University of
Texas Health Science Center, Houston, Texas 77030, United
States
John F. Hancock − Department of Integrative Biology and
Pharmacology, McGovern Medical School, University of
Texas Health Science Center, Houston, Texas 77030, United
States
Andrew G. Stephen − NCI RAS Initiative, Cancer Research
Technology Program, Frederick National Laboratory for
Cancer Research, Frederick, Maryland 21701, United States
Thomas J. Turbyville − NCI RAS Initiative, Cancer Research
Technology Program, Frederick National Laboratory for
Cancer Research, Frederick, Maryland 21701, United States
Complete contact information is available at:
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https://pubs.acs.org/10.1021/acschembio.3c00413
Notes
The authors declare the following competing financial
interest(s): K.M.S. and J.M. are inventors on patents owned
by UCSF covering K-Ras targeting small molecules. K.M.S. has
consulting agreements for the following companies, which
involve monetary and/or stock compensation: Revolution
Medicines, Black Diamond Therapeutics, BridGene Bioscien-
ces, Denali Therapeutics, Dice Molecules, eFFECTOR
Therapeutics, Erasca, Genentech/Roche, Janssen Pharmaceut-
icals, Kumquat Biosciences, Kura Oncology, Mitokinin,
Nested, Type6 Therapeutics, Venthera, Wellspring Biosciences
(Araxes Pharma), Turning Point, Ikena, Initial Therapeutics,
Vevo and BioTheryX.
■ ACKNOWLEDGMENTS
J.M. thanks the NCI for a K99/R00 award (K99CA277358).
K.M.S. thanks NIH grant 5R01CA244550 and the Samuel
Waxman Cancer Research Foundation. The authors thank J.
from B. Shoichet’s lab for assistance with the
O’Connell
dynamic light scattering (DLS) measurement. The authors
wish to acknowledge C. J. DeHart, J.-P. Denson, P. H. Frank,
M. Hong, S. Messing, A. Mitchell, N. Ramakrishnan, W.
for cloning, protein
Burgan, K. Powell, and T. Taylor
expression, protein purification, cell
line production, and
electrospray ionization mass spectroscopy. The authors thank
J. B. Combs, P. Pfaff, and D. M. Peacock for the critical review
of the manuscript. The authors also thank Q. Zheng for
providing optimized conditions for the Cbz-deprotection step.
This project has been funded in whole or in part with Federal
funds from the National Cancer Institute, National Institutes
of Health, under Contract No. 75N91019D00024. The
content of this publication does not necessarily reflect the
views or policies of the Department of Health and Human
Services nor does the mention of trade names, commercial
products, or organizations imply endorsement by the U.S.
Government. This study made use of the National Magnetic
Resonance Facility at Madison, which is supported by NIH
grants P41GM136463 and R24GM141526.
■ REFERENCES
(1) Alabi, S. B.; Crews, C. M. Major Advances in Targeted Protein
Degradation: PROTACs, LYTACs, and MADTACs. J. Biol. Chem.
2021, 296, No. 100647.
(2) Békés, M.; Langley, D. R.; Crews, C. M. PROTAC Targeted
Protein Degraders: The Past Is Prologue. Nat. Rev. Drug Discovery
2022, 21, 181−200.
(3) Schreiber, S. L. The Rise of Molecular Glues. Cell 2021, 184, 3−
9.
(4) Kozicka, Z.; Thomä, N. H. Haven’t Got a Glue: Protein Surface
Variation for the Design of Molecular Glue Degraders. Cell Chem.
Biol. 2021, 28, 1032−1047.
(5) Yin, H.; Flynn, A. D. Drugging Membrane Protein Interactions.
Annu. Rev. Biomed. Eng. 2016, 18, 51−76.
(6) Payandeh, J.; Volgraf, M. Ligand Binding at the Protein−Lipid
Interface: Strategic Considerations for Drug Design. Nat. Rev. Drug
Discovery 2021, 20, 710−722.
(7) Vögler, O.; Barceló, J. M.; Ribas, C.; Escribá, P. V. Membrane
Interactions of G Proteins and Other Related Proteins. Biochim.
Biophys. Acta, Biomembr. 2008, 1778, 1640−1652.
(8) Cho, W.; Stahelin, R. V. Membrane-Protein Interactions in Cell
Signaling and Membrane Trafficking. Annu. Rev. Biophys. Biomol.
Struct. 2005, 34, 119−151.
(9) Zhou, Y.; Hancock, J. F. Ras Nanoclusters: Versatile Lipid-Based
Signaling Platforms. Biochim. Biophys. Acta, Mol. Cell Res. 2015, 1853,
841−849.
(10) Cox, A. D.; Der, C. J.; Philips, M. R. Targeting RAS Membrane
Association: Back to the Future for Anti-RAS Drug Discovery? Clin.
Cancer Res. 2015, 21, 1819−1827.
(11) Goswami, D.; Chen, D.; Yang, Y.; Gudla, P. R.; Columbus, J.;
Worthy, K.; Rigby, M.; Wheeler, M.; Mukhopadhyay, S.; Powell, K.;
Burgan, W.; Wall, V.; Esposito, D.; Simanshu, D. K.; Lightstone, F. C.;
Nissley, D. V.; McCormick, F.; Turbyville, T. Membrane Interactions
of the Globular Domain and the Hypervariable Region of KRAS4b
Define Its Unique Diffusion Behavior. eLife 2020, 9, No. e47654.
(12) Pass, D. V. M. W. FTase Inhibition Holds Promise for RAS
Targeting and Beyond. Cancer, 2018; 90, 2.
(13) Ostrem, J. M.; Peters, U.; Sos, M. L.; Wells, J. A.; Shokat, K. M.
K-Ras(G12C) Inhibitors Allosterically Control GTP Affinity and
Effector Interactions. Nature 2013, 503, 548−551.
(14) Ostrem, J. M. L.; Shokat, K. M. Direct Small-Molecule
Inhibitors of KRAS: From Structural Insights to Mechanism-Based
Design. Nat. Rev. Drug Discovery 2016, 15, 771−785.
(15) Janes, M. R.; Zhang, J.; Li, L.-S.; Hansen, R.; Peters, U.; Guo,
X.; Chen, Y.; Babbar, A.; Firdaus, S. J.; Darjania, L.; Feng, J.; Chen, J.
H.; Li, S.; Li, S.; Long, Y. O.; Thach, C.; Liu, Y.; Zarieh, A.; Ely, T.;
Kucharski, J. M.; Kessler, L. V.; Wu, T.; Yu, K.; Wang, Y.; Yao, Y.;
Deng, X.; Zarrinkar, P. P.; Brehmer, D.; Dhanak, D.; Lorenzi, M. V.;
Hu-Lowe, D.; Patricelli, M. P.; Ren, P.; Liu, Y. Targeting KRAS
Mutant Cancers with a Covalent G12C-Specific Inhibitor. Cell 2018,
172, 578−589.e17.
(16) Moore, A. R.; Rosenberg, S. C.; McCormick, F.; Malek, S. RAS-
Targeted Therapies: Is the Undruggable Drugged? Nat. Rev. Drug
Discovery 2020, 19, 533−552.
(17) Fell, J. B.; Fischer, J. P.; Baer, B. R.; Blake, J. F.; Bouhana, K.;
Briere, D. M.; Brown, K. D.; Burgess, L. E.; Burns, A. C.; Burkard, M.
R.; Chiang, H.; Chicarelli, M. J.; Cook, A. W.; Gaudino, J. J.; Hallin,
J.; Hanson, L.; Hartley, D. P.; Hicken, E. J.; Hingorani, G. P.; Hinklin,
R. J.; Mejia, M. J.; Olson, P.; Otten, J. N.; Rhodes, S. P.; Rodriguez,
M. E.; Savechenkov, P.; Smith, D. J.; Sudhakar, N.; Sullivan, F. X.;
Tang, T. P.; Vigers, G. P.; Wollenberg, L.; Christensen, J. G.; Marx,
M. A.
the Clinical Development Candidate
MRTX849, a Covalent KRASG12C Inhibitor for the Treatment of
Cancer. J. Med. Chem. 2020, 63, 6679−6693.
(18) Lanman, B. A.; Allen, J. R.; Allen, J. G.; Amegadzie, A. K.;
Ashton, K. S.; Booker, S. K.; Chen, J. J.; Chen, N.; Frohn, M. J.;
Goodman, G.; Kopecky, D. J.; Liu, L.; Lopez, P.; Low, J. D.; Ma, V.;
Minatti, A. E.; Nguyen, T. T.; Nishimura, N.; Pickrell, A. J.; Reed, A.
B.; Shin, Y.; Siegmund, A. C.; Tamayo, N. A.; Tegley, C. M.; Walton,
M. C.; Wang, H.-L.; Wurz, R. P.; Xue, M.; Yang, K. C.; Achanta, P.;
Bartberger, M. D.; Canon, J.; Hollis, L. S.; McCarter, J. D.; Mohr, C.;
Rex, K.; Saiki, A. Y.; Miguel, T. S.; Volak, L. P.; Wang, K. H.;
Whittington, D. A.; Zech, S. G.; Lipford, J. R.; Cee, V. J. Discovery of
a Covalent Inhibitor of KRASG12C (AMG 510) for the Treatment of
Solid Tumors. J. Med. Chem. 2020, 63, 52−65.
(19) Zhang, Z.; Guiley, K. Z.; Shokat, K. M. Chemical Acylation of
an Acquired Serine Suppresses Oncogenic Signaling of K-Ras(G12S).
Nat. Chem. Biol. 2022, 18, 1177−1183.
(20) Zhang, Z.; Morstein, J.; Ecker, A. K.; Guiley, K. Z.; Shokat, K.
M. Chemoselective Covalent Modification of K-Ras(G12R) with a
Small Molecule Electrophile. J. Am. Chem. Soc. 2022, 144, 15916−
15921.
(21) Wang, X.; Allen, S.; Blake, J. F.; Bowcut, V.; Briere, D. M.;
Calinisan, A.; Dahlke, J. R.; Fell, J. B.; Fischer, J. P.; Gunn, R. J.;
Hallin, J.; Laguer, J.; Lawson, J. D.; Medwid, J.; Newhouse, B.;
J. M.; Olson, P.; Pajk, S.; Rahbaek, L.;
Nguyen, P.; O’Leary,
Rodriguez, M.; Smith, C. R.; Tang, T. P.; Thomas, N. C.; Vanderpool,
D.; Vigers, G. P.; Christensen, J. G.; Marx, M. A. Identification of
MRTX1133, a Noncovalent, Potent, and Selective KRASG12D
Inhibitor. J. Med. Chem. 2022, 65, 3123−3133.
(22) Vasta, J. D.; Peacock, D. M.; Zheng, Q.; Walker, J. A.; Zhang,
Z.; Zimprich, C. A.; Thomas, M. R.; Beck, M. T.; Binkowski, B. F.;
Identification of
2091
https://doi.org/10.1021/acschembio.3c00413
ACS Chem. Biol. 2023, 18, 2082−2093
ACS Chemical Biology
pubs.acs.org/acschemicalbiology
Articles
Corona, C. R.; Robers, M. B.; Shokat, K. M. KRAS Is Vulnerable to
Reversible Switch-II Pocket Engagement in Cells. Nat. Chem. Biol.
2022, 18, 596−604.
(23) Zhou, Y.; Hancock, J. F. RAS Nanoclusters Are Cell Surface
Transducers That Convert Extracellular Stimuli
to Intracellular
Signalling. FEBS Lett. 2023, 597, 892−908.
(24) Simanshu, D. K.; Philips, M. R.; Hancock, J. F. Consensus on
the RAS Dimerization Hypothesis: Strong Evidence for Lipid-
Mediated Clustering but Not for G-Domain-Mediated Interactions.
Mol. Cell 2023, 83, 1210−1215.
(25) Hancock, J. F. Ras Proteins: Different Signals from Different
Locations. Nat. Rev. Mol. Cell Biol. 2003, 4, 373−385.
(26) Prior, I. A.; Muncke, C.; Parton, R. G.; Hancock, J. F. Direct
Visualization of Ras Proteins in Spatially Distinct Cell Surface
Microdomains. J. Cell Biol. 2003, 160, 165−170.
(27) Plowman, S. J.; Muncke, C.; Parton, R. G.; Hancock, J. F. H-
Ras, K-Ras, and Inner Plasma Membrane Raft Proteins Operate in
Nanoclusters with Differential Dependence on the Actin Cytoskele-
ton. Proc. Natl. Acad. Sci. U.S.A. 2005, 102, 15500−15505.
(28) Shrestha, R.; Chen, D.; Frank, P.; Nissley, D. V.; Turbyville, T.
J. Recapitulation of Cell-like KRAS4b Membrane Dynamics on
Complex Biomimetic Membranes. iScience 2022, 25, No. 103608.
(29) Lee, Y.; Phelps, C.; Huang, T.; Mostofian, B.; Wu, L.; Zhang,
Y.; Tao, K.; Chang, Y. H.; Stork, P. J.; Gray, J. W.; Zuckerman, D. M.;
Nan, X. High-Throughput, Single-Particle Tracking Reveals Nested
Membrane Domains That Dictate KRasG12D Diffusion and
Trafficking. eLife 2019, 8, No. e46393.
(30) Zhou, Y.; Prakash, P.; Liang, H.; Cho, K.-J.; Gorfe, A. A.;
Hancock, J. F. Lipid-Sorting Specificity Encoded in K-Ras Membrane
Anchor Regulates Signal Output. Cell 2017, 168, 239−251.e16.
(31) Zhou, Y.; Wong, C.-O.; Cho, K.; van der Hoeven, D.; Liang,
H.; Thakur, D. P.; Luo, J.; Babic, M.; Zinsmaier, K. E.; Zhu, M. X.;
Hu, H.; Venkatachalam, K.; Hancock, J. F. Membrane Potential
Modulates Plasma Membrane Phospholipid Dynamics and K-Ras
Signaling. Science 2015, 349, 873−876.
(32) Zhou, Y.; Liang, H.; Rodkey, T.; Ariotti, N.; Parton, R. G.;
Hancock, J. F. Signal Integration by Lipid-Mediated Spatial Cross
Talk between Ras Nanoclusters. Mol. Cell. Biol. 2014, 34, 862−876.
(33) Singaram, I.; Sharma, A.; Pant, S.; Lihan, M.; Park, M.-J.;
Pergande, M.; Buwaneka, P.; Hu, Y.; Mahmud, N.; Kim, Y.-M.;
Cologna, S.; Gevorgyan, V.; Khan, I.; Tajkhorshid, E.; Cho, W.
Targeting Lipid−Protein Interaction to Treat Syk-Mediated Acute
Myeloid Leukemia. Nat. Chem. Biol. 2023, 19, 239−250.
(34) Katti, S. S.; Krieger, I. V.; Ann, J.; Lee, J.; Sacchettini, J. C.;
Igumenova, T. I. Structural Anatomy of Protein Kinase C C1 Domain
Interactions with Diacylglycerol and Other Agonists. Nat. Commun.
2022, 13, No. 2695.
(35) Fang, Z.; Marshall, C. B.; Nishikawa, T.; Gossert, A. D.; Jansen,
J. M.; Jahnke, W.; Ikura, M. Inhibition of K-RAS4B by a Unique
Mechanism of Action: Stabilizing Membrane-Dependent Occlusion of
the Effector-Binding Site. Cell Chem. Biol. 2018, 25, 1327−1336.e4.
(36) Bond, M. J.; Chu, L.; Nalawansha, D. A.; Li, K.; Crews, C. M.
Targeted Degradation of Oncogenic KRASG12C by VHL-Recruiting
PROTACs. ACS Cent. Sci. 2020, 6, 1367−1375.
(37) Chu, L.; Crews, C. M.; Dong, H.; Hornberger, K. R.; Medina, J.
R.; Snyder, L.; Wang, J. Compounds and Methods for Targeted
Degradation of Kras. WO Patent, WO2021207172A12021.
(38) Presolski, S. I.; Hong, V. P.; Finn, M. G. Copper-Catalyzed
Azide−Alkyne Click Chemistry for Bioconjugation. Curr. Protoc.
Chem. Biol. 2011, 3, 153−162.
(39) Thirumurugan, P.; Matosiuk, D.; Jozwiak, K. Click Chemistry
for Drug Development and Diverse Chemical−Biology Applications.
Chem. Rev. 2013, 113, 4905−4979.
(40) Lou, K.; Steri, V.; Ge, A. Y.; Hwang, Y. C.; Yogodzinski, C. H.;
Shkedi, A. R.; Choi, A. L. M.; Mitchell, D. C.; Swaney, D. L.; Hann,
B.; Gordan, J. D.; Shokat, K. M.; Gilbert, L. A. KRASG12C Inhibition
Produces a Driver-Limited State Revealing Collateral Dependencies.
Sci. Signal. 2019, 12, No. eaaw9450.
(41) Schmick, M.; Vartak, N.; Papke, B.; Kovacevic, M.; et al. KRas
Localizes to the Plasma Membrane by Spatial Cycles of Solubilization,
Trapping and Vesicular Transport. Cell 2014, 157, 459−471.
(42) Kattan, W. E.; Hancock, J. F. RAS Function in Cancer Cells:
Translating Membrane Biology and Biochemistry into New
Therapeutics. Biochem. J. 2020, 477, 2893−2919.
(43) Zhou, Y.; Hancock, J. F. Electron Microscopy Combined with
Spatial Analysis: Quantitative Mapping of the Nano-Assemblies of
Plasma Membrane-Associating Proteins and Lipids. Biophys. Rep.
2018, 4, 320−328.
(44) Morstein, J.; Capecchi, A.; Hinnah, K.; Park, B.; Petit-Jacques,
J.; Van Lehn, R. C.; Reymond, J.-L.; Trauner, D. Medium-Chain Lipid
J. Am.
Conjugation Facilitates Cell-Permeability and Bioactivity.
Chem. Soc. 2022, 144, 18532−18544.
(45) Eswar, N.; Webb, B.; Marti-Renom, M. A.; Madhusudhan, M.
S.; Eramian, D.; Shen, M.-Y.; Pieper, U.; Sali, A. Comparative Protein
Structure Modeling Using Modeller Curr. Protoc. Bioinf. 2006, 15,
DOI: 10.1002/0471250953.bi0506s15.
(46) Ingólfsson, H. I.; Neale, C.; Carpenter, T. S.; Shrestha, R.;
López, C. A.; Tran, T. H.; Oppelstrup, T.; Bhatia, H.; Stanton, L. G.;
Zhang, X.; Sundram, S.; Di Natale, F.; Agarwal, A.; Dharuman, G.;
Kokkila Schumacher, S. I. L.; Turbyville, T.; Gulten, G.; Van, Q. N.;
Goswami, D.; Jean-Francois, F.; Agamasu, C.; Chen, D.; Hettige, J. J.;
Travers, T.; Sarkar, S.; Surh, M. P.; Yang, Y.; Moody, A.; Liu, S.; Van
Essen, B. C.; Voter, A. F.; Ramanathan, A.; Hengartner, N. W.;
Simanshu, D. K.; Stephen, A. G.; Bremer, P.-T.; Gnanakaran, S.;
Glosli, J. N.; Lightstone, F. C.; McCormick, F.; Nissley, D. V.; Streitz,
F. H. Machine Learning−Driven Multiscale Modeling Reveals Lipid-
Dependent Dynamics of RAS Signaling Proteins. Proc. Natl. Acad. Sci.
U.S.A. 2022, 119, No. e2113297119.
(47) Souza, P. C. T.; Alessandri, R.; Barnoud, J.; Thallmair, S.;
Faustino, I.; Grünewald, F.; Patmanidis, I.; Abdizadeh, H.; Bruininks,
B. M. H.; Wassenaar, T. A.; Kroon, P. C.; Melcr, J.; Nieto, V.;
Corradi, V.; Khan, H. M.; Domański, J.; Javanainen, M.; Martinez-
Seara, H.; Reuter, N.; Best, R. B.; Vattulainen, I.; Monticelli, L.;
Periole, X.; Tieleman, D. P.; de Vries, A. H.; Marrink, S. J. Martini 3:
A General Purpose Force Field for Coarse-Grained Molecular
Dynamics. Nat. Methods 2021, 18, 382−388.
(48) Poma, A. B.; Cieplak, M.; Theodorakis, P. E. Combining the
MARTINI and Structure-Based Coarse-Grained Approaches for the
Molecular Dynamics Studies of Conformational Transitions in
Proteins. J. Chem. Theory Comput. 2017, 13, 1366−1374.
(49) Travers, T.; López, C. A.; Van, Q. N.; Neale, C.; Tonelli, M.;
Stephen, A. G.; Gnanakaran, S. Molecular Recognition of RAS/RAF
Complex at the Membrane: Role of RAF Cysteine-Rich Domain. Sci.
Rep. 2018, 8, No. 8461.
(50) Potter, T. D.; Barrett, E. L.; Miller, M. A. Automated Coarse-
the Martini Force Field and
Grained Mapping Algorithm for
Benchmarks for Membrane-Water Partitioning.
J. Chem. Theory
Comput. 2021, 17, 5777−5791.
(51) Wassenaar, T. A.; Ingólfsson, H. I.; Böckmann, R. A.; Tieleman,
D. P.; Marrink, S. J. Computational Lipidomics with Insane: A
Versatile Tool
for Generating Custom Membranes for Molecular
Simulations. J. Chem. Theory Comput. 2015, 11, 2144−2155.
(52) Páll, S.; Abraham, M. J.; Kutzner, C.; Hess, B.; Lindahl, E.
Tackling Exascale Software Challenges in Molecular Dynamics
Simulations with GROMACS. In Solving Software Challenges for
Exascale; Markidis, S.; Laure, E., Eds.; Springer
International
Publishing: Cham, 2015; pp 3−27.
(53) Bussi, G.; Donadio, D.; Parrinello, M. Canonical Sampling
through Velocity Rescaling. J. Chem. Phys. 2007, 126, No. 014101.
(54) Berendsen, H. J. C.; Postma, J. P. M.; van Gunsteren, W. F.;
DiNola, A.; Haak, J. R. Molecular Dynamics with Coupling to an
External Bath. J. Chem. Phys. 1984, 81, 3684−3690.
(55) Hagn, F.; Etzkorn, M.; Raschle, T.; Wagner, G. Optimized
Phospholipid Bilayer Nanodiscs Facilitate High-Resolution Structure
Determination of Membrane Proteins. J. Am. Chem. Soc. 2013, 135,
1919−1925.
2092
https://doi.org/10.1021/acschembio.3c00413
ACS Chem. Biol. 2023, 18, 2082−2093
ACS Chemical Biology
pubs.acs.org/acschemicalbiology
Articles
(56) Chao, F.-A.; Dharmaiah, S.; Taylor, T.; Messing, S.; Gillette,
W.; Esposito, D.; Nissley, D. V.; McCormick, F.; Byrd, R. A.;
Simanshu, D. K.; Cornilescu, G. Insights into the Cross Talk between
Effector and Allosteric Lobes of KRAS from Methyl Conformational
Dynamics. J. Am. Chem. Soc. 2022, 144, 4196−4205.
(57) Kopra, K.; Vuorinen, E.; Abreu-Blanco, M.; Wang, Q.; Eskonen,
V.; Gillette, W.; Pulliainen, A. T.; Holderfield, M.; Härmä, H.
Homogeneous Dual-Parametric-Coupled Assay for Simultaneous
Nucleotide Exchange and KRAS/RAF-RBD Interaction Monitoring.
Anal. Chem. 2020, 92, 4971−4979.
(58) Van, Q. N.; López, C. A.; Tonelli, M.; Taylor, T.; Niu, B.;
Stanley, C. B.; Bhowmik, D.; Tran, T. H.; Frank, P. H.; Messing, S.;
Alexander, P.; Scott, D.; Ye, X.; Drew, M.; Chertov, O.; Lösche, M.;
Ramanathan, A.; Gross, M. L.; Hengartner, N. W.; Westler, W. M.;
Markley, J. L.; Simanshu, D. K.; Nissley, D. V.; Gillette, W. K.;
Esposito, D.; McCormick, F.; Gnanakaran, S.; Heinrich, F.; Stephen,
A. G. Uncovering a Membrane-Distal Conformation of KRAS
Available to Recruit RAF to the Plasma Membrane. Proc. Natl.
Acad. Sci. U.S.A. 2020, 117, 24258−24268.
(59) Delaglio, F.; Grzesiek, S.; Vuister, G. W.; Zhu, G.; Pfeifer, J.;
Bax, A. NMRPipe: A Multidimensional Spectral Processing System
Based on UNIX Pipes. J. Biomol. NMR 1995, 6, 277−293.
(60) Lee, W.; Tonelli, M.; Markley, J. L. NMRFAM-SPARKY:
Enhanced Software for Biomolecular NMR Spectroscopy. Bioinfor-
matics 2015, 31, 1325−1327.
(61) Lee, D.; Hilty, C.; Wider, G.; Wüthrich, K. Effective Rotational
Correlation Times of Proteins from NMR Relaxation Interference. J.
Magn. Reson. 2006, 178, 72−76.
(62) Coote, P. W.; Robson, S. A.; Dubey, A.; Boeszoermenyi, A.;
Zhao, M.; Wagner, G.; Arthanari, H. Optimal Control Theory Enables
Homonuclear Decoupling without Bloch-Siegert Shifts in NMR
Spectroscopy. Nat. Commun. 2018, 9, No. 3014.
(63) Grimm, J. B.; Muthusamy, A. K.; Liang, Y.; Brown, T. A.;
Lemon, W. C.; Patel, R.; Lu, R.; Macklin, J. J.; Keller, P. J.; Ji, N.;
Lavis, L. D. A General Method to Fine-Tune Fluorophores for Live-
Cell and in Vivo Imaging. Nat. Methods 2017, 14, 987−994.
(64) Dedecker, P.; Duwé, S.; Neely, R. K.; Zhang, J. Localizer: Fast,
Accurate, Open-Source, and Modular Software Package for Super-
resolution Microscopy. J. Biomed. Opt. 2012, 17, No. 126008.
(65) Pliss, A.; Zhao, L.; Ohulchanskyy, T. Y.; Qu, J.; Prasad, P. N.
Fluorescence Lifetime of Fluorescent Proteins as an Intracellular
Environment Probe Sensing the Cell Cycle Progression. ACS Chem.
Biol. 2012, 7, 1385−1392.
J. P. Shifts in the
(66) Li, W.; Houston, K. D.; Houston,
Fluorescence Lifetime of EGFP during Bacterial Phagocytosis
Measured by Phase-Sensitive Flow Cytometry. Sci. Rep. 2017, 7,
No. 40341.
(67) Diggle, P. J.; Mateu, J.; Clough, H. E. A Comparison between
Parametric and Non-Parametric Approaches to the Analysis of
Replicated Spatial Point Patterns. Adv. Appl. Probab. 2000, 32,
331−343.
(68) Zhou, Y.; Hancock, J. F.Super-Resolution Imaging and Spatial
Analysis of RAS on Intact Plasma Membrane Sheets. In Methods in
Molecular Biology; Springer, 2021; Vol. 2262, pp 217−232.
2093
https://doi.org/10.1021/acschembio.3c00413
ACS Chem. Biol. 2023, 18, 2082−2093
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www.nature.com/ejhg
OPEN
POLICY
Scope of professional roles for genetic counsellors and clinical
geneticists in the United Kingdom
Position on behalf of the Association of Genetic Nurses and Counsellors and the
Clinical Genetics Society
Anna Middleton 1,2 ✉
3, Catherine Houghton4, Sarah Smithson5,6, Meena Balasubramanian7,8 and Frances Elmslie9
, Nicola Taverner
© The Author(s) 2022
This document is written on behalf of the two professional bodies in the United Kingdom that represent genetic counsellors
(the Association of Genetic Nurses and Counsellors) and clinical geneticists (the Clinical Genetics Society) and aims to support
multidisciplinary working of these professional groups highlighting within a quick-reference format, areas of shared practice and
the distinctions between role profiles for a Consultant Clinical Geneticist, Principal/Consultant Genetic Counsellor and the new
support role that we have termed ‘Genomic Associate’, see AGNC career structure [1]. This builds on published documents
that articulate the scope of practice of the clinical genetics workforce [2] and specifically the genetic counsellor [3] and clinical
geneticist [4] roles.
European Journal of Human Genetics (2023) 31:9–12; https://doi.org/10.1038/s41431-022-01214-7
:
,
;
)
(
0
9
8
7
6
5
4
3
2
1
In the United Kingdom clinical geneticists are medically qualified
Members/Fellows of the Royal College Physicians or equivalent,
where Clinical Genetics is an affiliated medical specialty. Genomic
or genetic counsellors are allied health professionals with Masters
level accreditation from the Genetic Counsellor Registration Board
included in the Academy for Healthcare Science register and
clinical scientists (genomic counselling specialty) accredited by
the Health and Care Professions Council.
We acknowledge there is currently variability in these roles
between NHS trusts and exceptions where the scope of practice for
one professional group exceeds what is provided below in Fig. 1.
i.e. they
acknowledge that there are some areas of practice that may have
In Fig. 1 the roles are deliberately forward looking,
traditionally been performed by one professional group, can now
be shared with or devolved to other groups. Broadly speaking, the
clinical geneticist leads on diagnostics and therapeutics and the
genetic counsellor leads on psychosocial issues and care of the
extended family. Both groups have skills and training in clinical
genetics and there is much cross over between roles. The genomic
associate leads on administrative support for the clinic, the patient
and the clinical activities of the clinical geneticist and genetic
counsellor. The genomic associate is part of the genetic counsellor
career structure and has a clinical role that is different to a
secretary;
it is a position that has already been discussed in
relation to the Genomics Service Specification for the National
Health Service in the United Kingdom.
1Engagement and Society, Wellcome Connecting Science, Wellcome Genome Campus, Hinxton, Cambridge, UK. 2Kavli Centre for Ethics, Science, and the Public, Faculty of
Education, University of Cambridge, Cambridge, UK. 3School of Medicine, Cardiff University and the All Wales Medical Genomics Service, Cardiff, UK. 4Liverpool Centre for
Genomic Medicine, Liverpool Women’s NHS Foundation Trust, Liverpool, UK. 5Department of Clinical Genetics, University Hospitals Bristol and Weston NHS Foundation Trust,
Bristol, UK. 6Faculty of Health Sciences, University of Bristol, Bristol, UK. 7Department of Oncology and Metabolism, University of Sheffield, Sheffield, UK. 8Sheffield Clinical
Genetics Service, Sheffield Children’s NHS Foundation Trust, Sheffield, UK. 9South West Thames Centre for Genomics, St George’s University Hospitals NHS Foundation Trust,
London, UK.
email: Am2624@cam.ac.uk
✉
Received: 28 September 2022 Accepted: 4 October 2022
Published online: 1 November 2022
10
A. Middleton et al.
Clinical
Geneticist
Genetic
Counsellor
Genomic
Associate
Triaging referrals
Referrals are assessed and triaged
Advice and guidance
letters for refused
referrals
Access to the
appointment
Preparation for
appointment
Patient/family type
seen
Letters written in response to referrals that require clinical advice, but do not
meet Genomic Medicine Service referral guidelines
Responsibility for responding to referrals that do not require any clinical advice
nor clinical contact
Facilitating patient access, including establishing if patient wants to be seen,
supporting minority populations to access services, supporting patients with
disabilities/audio/visual impairment to access services, contacting patients to
explain what clinical genetics services can offer, arranging interpreters
Acting as a chaperone in clinic
Arranging measurements for patients in clinic, e.g. taking patient’s weight and
height
Transcribing a written pedigree into electronic software
Gathering relevant medical records, pathology reports, death certificates, tumour
blocks
Organising and obtaining familial blood or saliva samples to help confirm
diagnosis in proband
Obtaining record of patient choice/consent (not having the full consent
conversation, but recording that it has been taken)
Collating appropriate patient leaflets, consent forms for the clinic as determined
by senior staff
General genetics (adult or paediatric)
Cancer genetics (adult or paediatric)
Prenatal
Physical medical
examination
Family history
Physical examination of a patient to make a clinical diagnosis and/or to support
or stratify genetic testing
Specific physical examination that might be considered routine with respect to
particular conditions (e.g. head measurement for a Cowden’s clinic)
Taking a family history
Psychosocial history
Investigations
Evaluating a family history to determine genetic risk
Taking a detailed psychosocial history to determine effect of genetic diagnosis on
individual and wider family members
Medical investigations: Employ a range of tailored investigations including
genetic, biochemistry, radiology, haematology etc. for clinically undiagnosed
patients
Routine medical investigations for specific, defined conditions, e.g.
ophthalmology or audiological investigations as part of conditions involving
visual and/or hearing impairment
Genetic investigations: Choose appropriate genetic testing for patients with
specific family history indicative of genetic risk (e.g. family history of cancer)
Genetic investigations: Choose appropriate genetic testing determined by a pre -
existing definitive clinical diagnosis/clinical presentation (e.g. breast cancer)
Take samples (e.g. blood saliva) for genetic testing
Consent
Consent a patient for genetic testing
Counselling and
support
Genomic variant
interpretation
Arrange and consent for cascade genetic testing amongst extended family (e.g.
BRCA, Fra-X testing)
Generic genetic counselling skills e.g. disclosure of diagnosis, breaking bad news
etc.
Supporting patients and families adjusting to a genetic diagnosis or coping
without one
Making appropriate onward referrals for further psychological support
Identifying complex grief reactions and interpreting complex family dynamics
Specific application of genetic counselling theory to person -centred care, e.g.
application of reciprocal-engagement models and/or reflective practice models
Interpreting gene variants to determine clinical decisions, as part of a
multidisciplinary team
Integrating the results of clinical presentation and investigation to determine
whether a rare phenotype supports variant pathogenicity
Interpreting whether an established clinical presentation supports variant
pathogenicity
Administration to track down relatives to provide evidence in support of variant
interpretation
Fig. 1 Scope of professional roles for clinical geneticist, genetic counsellor and genomic associate in the United Kingdom. The colour
coding provides a guide to the professional group providing each aspect of service: green = routinely within the scope of practice,
amber = within the scope of practice for some professionals, but not for the majority, red = outside of the scope of routine practice.
European Journal of Human Genetics (2023) 31:9 – 12
A. Middleton et al.
11
Management and
Treatment
Reviewing and recommending peer-reviewed management guidelines. Writing,
e.g. NICE guidance
Organising appropriate disease screening and acting as patient advocate to
arrange access to services
Devising individual management guidelines for a rare disorder based on research
evidence
Prescribing pharmaceuticals or molecularly targeted therapies
MDT coordination, collating agenda items, taking meeting minutes
All administration required for clinic and follow up
Ordering of clinic supplies, test kits, appropriate proformas, consent forms
Follow Up
Follow up care of the nuclear family (e.g. parents and children)
Follow up care of the extended family (e.g. 2nd and 3rd degree relatives)
Research
Monitoring/chasing outstanding records/samples/screening and any administration
work needed to support the clinical geneticists and genetic counsellors
Leading or referring to research studies relating to patient’s genetic diagnosis
Leading or being a site investigator for Clinical Trials of Investigational Medical
Products
Finding and referring to surveillance trials (e.g. for cancer screening)
Referring to psychosocial research (e.g. genetic counselling or communication
research)
Leading genetic counselling research specifically on the evidence base behind
genetic counselling practice
Administration for research studies
Mainstreaming
Providing advice and support to other healthcare workers
Education
Participation in multi-disciplinary team meetings
Managing and leading a specialist nurse mainstreaming team (e.g. familial
hypercholesterolemia clinic, family breast screening clinics, pre -
implantation genetic diagnosis within an IVF clinic)
Delivering education programmes for patients, public, health professionals
Developing educational material such as leaflets, interactive infographics and
decision aids
Liaising with patient support groups to participate in patient led events and
sharing of verified information
Administration for education events
Management
Running a genetic register
Training and mentoring colleagues from genetics services
Training, mentoring and supporting non-genetics healthcare colleagues
Acting as Clinical Lead for a clinical genetics service
Acting as Management Lead for clinical genetics service
Leadership
Sitting on regulatory bodies for own profession
Designing professional competency-to-practice frameworks
Fig. 1 Continued.
REFERENCES
1. Association of Genetic Nurses and Counsellors. Career structure for genetic
counsellors and support roles. 2020b. https://www.agnc.org.uk/info-education/
documents-websites/.
2. Dragojlovic N, Borle K, Kopac N, Ellis U, Birch P, Adam S, et al. The composition and
capacity of the clinical genetics workforce in high-income countries: a scoping
review. Genet Med. 2020;22:1437–49.
3. Middleton A. et al. The genetic counsellor role in the United Kingdom: Position on
behalf of the Association of Genetic Nurses and Counsellors (AGNC), Endorsed by the
Genetic Counsellor Registration Board (GCRB) and Academy for Healthcare Science
(AHCS). Eur J Hum Genet. https://doi.org/10.1038/s41431-022-01212-9 (2022).
4. Clinical Genetics Society. Policies and Resources around the role of the clinical
geneticist. 2022. https://www.clingensoc.org/information-and-education/policies-
and-resources/.
Committee on Genomics in Medicine in the UK and we thank Prof Helen Firth for starting
these discussions. The two professional bodies representing genetic counsellors
(Association of Genetic Nurses and Counsellors) and clinical geneticists (Clinical Genetics
Society) led on the development of the conceptual framework. Consensus was reached
on the scope of professional practice through discussion with members of the
committee representing each professional body. The negotiations were led by AM, NT
and CH on behalf of the AGNC and led by SS, FE and MB on behalf of the CGS.
AUTHOR CONTRIBUTIONS
AM, NT, CH, SS, and FE all contributed equally to the writing of the manuscript, MB
provided feedback on the manuscript.
ACKNOWLEDGEMENTS
The original idea for developing a quick reference format for visualising the different
roles of genetic counsellor and clinical geneticist came from discussions within the Joint
FUNDING
AM was
funded by Wellcome grant 108413/A/15/D awarded to Wellcome
Connecting Science and grant G115418 from the Kavli Foundation to the Kavli
Centre for Ethics, Science and the Public, University of Cambridge.
European Journal of Human Genetics (2023) 31:9 – 12
12
COMPETING INTERESTS
The authors declare no competing interests.
A. Middleton et al.
ADDITIONAL INFORMATION
Correspondence and requests for materials should be addressed to Anna Middleton.
Reprints and permission information is available at http://www.nature.com/
reprints
Open Access This article is licensed under a Creative Commons
Attribution 4.0 International License, which permits use, sharing,
adaptation, distribution and reproduction in any medium or format, as long as you give
appropriate credit to the original author(s) and the source, provide a link to the Creative
Commons license, and indicate if changes were made. The images or other third party
material in this article are included in the article’s Creative Commons license, unless
indicated otherwise in a credit line to the material. If material is not included in the
article’s Creative Commons license and your intended use is not permitted by statutory
regulation or exceeds the permitted use, you will need to obtain permission directly
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European Journal of Human Genetics (2023) 31:9 – 12
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10.3390_molecules24122333.pdf
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Article
Development of a Method for the Quantification of
Clotrimazole and Itraconazole and Study of Their
Stability in a New Microemulsion for the Treatment
of Sporotrichosis
Patricia Garcia Ferreira 1, Carolina Guimarães de Souza Lima 2, Letícia Lorena Noronha 1,
Marcela Cristina de Moraes 2, Fernando de Carvalho da Silva 2
Débora Omena Futuro 1 and Vitor Francisco Ferreira 1,*
, Alessandra Lifsitch Viçosa 3
,
1 Departamento de Tecnologia Farmacêutica, Faculdade de Farmácia, Universidade Federal Fluminense,
Niterói-RJ 24241-000, Brazil; patricia.pharma@yahoo.com.br (P.G.F.); leticianoronha95@gmail.com (L.L.N.);
dfuturo@id.uff.br (D.O.F.)
2 Departamento de Química Orgânica, Instituto de Química, Universidade Federal Fluminense,
Niterói-RJ 24210-141, Brazil; carolgslima@gmail.com (C.G.d.S.L.); mcmoraes@id.uff.br (M.C.d.M.);
gqofernando@vm.uff.br (F.d.C.d.S.)
Fundação Oswaldo Cruz (FIOCRUZ), Farmanguinhos-Manguinhos, Avenida Sinzenando Nabuco 100,
Rio de Janeiro-RJ 21045-900, Brazil; alessandra.vicosa@far.fiocruz.br
3
* Correspondence: vitorferreira@id.uff.br; Tel.: +55-21-998578148
Academic Editors: Clinio Locatelli, Marcello Locatelli and Dora Melucci
Received: 6 June 2019; Accepted: 20 June 2019; Published: 25 June 2019
®
Abstract: Sporotrichosis occurs worldwide and is caused by the fungus Sporothrix brasiliensis.
This agent has a high zoonotic potential and is transmitted mainly by bites and scratches from
infected felines. A new association between the drugs clotrimazole and itraconazole is shown
to be effective against S. brasiliensis yeasts. This association was formulated as a microemulsion
containing benzyl alcohol as oil, Tween
60 and propylene glycol as surfactant and cosurfactant,
respectively, and water. Initially, the compatibility between clotrimazole and itraconazole was studied
using differential scanning calorimetry (DSC), thermogravimetric analysis (TG), Fourier transform
infrared spectroscopy (FTIR), and X-ray powder diffraction (PXRD). Additionally, a simple and
efficient analytical HPLC method was developed to simultaneously determine the concentration
of clotrimazole and itraconazole in the novel microemulsion. The developed method proved to be
efficient, robust, and reproducible for both components of the microemulsion. We also performed an
accelerated stability study of this formulation, and the developed analytical method was applied to
monitor the content of active ingredients. Interestingly, these investigations led to the detection of a
known clotrimazole degradation product whose structure was confirmed using NMR and HRMS, as
well as a possible interaction between itraconazole and benzyl alcohol.
Keywords:
validation; sporotrichosis
pre-development process;
clotrimazole;
itraconazole;
stability; method
1. Introduction
Sporotrichosis is a subcutaneous infectious disease with subacute to chronic evolution and with
a worldwide distribution. The etiologic agent of sporotrichosis is Sporothrix schenckii, which is a
thermo-dimorphic fungus that lives saprophytically in nature and is pathogenic to humans and
animals [1,2]. The occurrence of sporotrichosis in animals, especially cats, as well as its transmission to
humans has been reported in several countries [3]. In this context, the Brazilian state of Rio de Janeiro
Molecules 2019, 24, 2333; doi:10.3390/molecules24122333
www.mdpi.com/journal/molecules
molecules(cid:1)(cid:2)(cid:3)(cid:1)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:1)(cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)Molecules 2019, 24, 2333
2 of 15
is an epidemic area for this disease and the first one associated with zoonotic transmission related to
sick felines by Sporothrix brasiliensis, the most virulent species from the S. schenckii complex [4].
The treatment of both feline and human sporotrichosis is based on the use of itraconazole 1, which
contains the 1,2,4-triazole scaffold in its structure and inhibits the synthesis of sterol, a vital component
of the fungus cell membrane [5,6]. Clotrimazole 2, on the other hand, is an imidazole derivative with
antifungal activity that is only indicated for topical use due to its toxicity (Figure 1). Similarly to
itraconazole, clotrimazole is a synthetic antifungal and its mechanism of action involves the inhibition
of sterol biosynthesis [7]. In this sense, Gagini et al. [8] reported the effectiveness of the combination of
itraconazole with clotrimazole against S. brasiliensis yeasts (the infective form) from feline and human
sporotrichosis isolates, suggesting that clotrimazole by itself or in combination with itraconazole is
potentially a new option for the treatment of sporotrichosis.
Figure 1. Chemical structures of clotrimazole and itraconazole.
Accordingly, the development of new pharmaceutical technologies for the use of clotrimazole and
itraconazole associations is highly desirable in order to increase their efficiency in therapy, decrease
adverse effects and provide, especially for felines, alternative treatments. Moreover, the use of a
combination antifungal therapy is a promising approach to avoid resistance [9]. Allied to all the
mentioned features, the association of known drugs is highly advantageous for the pharmaceutical
industry to find innovations for the market, since they can reformulate their products in a more
economically advantageous way when compared to the development of new drugs. In addition, the
association of drugs already in use in the pharmaceutical market may increase their efficiency with
known safety and effectiveness, reintroducing forgotten and/or discarded ones.
Considering the development of new formulations, microemulsions (MEs) have attracted great
interest as potential drug delivery systems, mainly due to their unique physicochemical properties
such as drug solubilization and enhanced absorption properties [10,11]. MEs are a thermodynamically
stable, isotropic, transparent liquid system consisting of two immiscible liquids (usually water and
oil) stabilized by a film of surfactant compounds, suitably combined with a cosurfactant [12,13]. The
presence of the surfactant helps to reduce the interfacial tension, making it possible to join the oil
and aqueous phases [14,15]. MEs have been proposed as an innovative formulation approach to
improve solubility and efficacy and reduce of the toxicity of various drugs. Therefore, when the
known hydrophobicity of clotrimazole and itraconazole are taken into account, such systems could be
particularly advantageous for their delivery.
In light of the aforementioned concepts, this paper reports the initial research phase for the
pre-development of a clotrimazole–itraconazole formulation, the first step towards a new antifungal
combination.
In this sense, the development and characterization of this new pharmaceutical
formulation requires the evaluation of parameters such as drug release and stability. Therefore, as
a further extension of our work in the field, we have developed a simple, sensitive, and specific
HPLC method for the simultaneous quantification of clotrimazole and itraconazole in microemulsion.
Although many researchers have investigated clotrimazole and itraconazole singly or in combination
with other compounds, to the best of our knowledge, no HPLC method has been developed for the
simultaneous determination of both drugs simultaneously, especially in microemulsion systems [16,17].
Finally, we performed an accelerated stability study of this formulation and the developed analytical
Molecules 2019, 24, x FOR PEER REVIEW 2 of 15 to humans has been reported in several countries [3]. In this context, the Brazilian state of Rio de Janeiro is an epidemic area for this disease and the first one associated with zoonotic transmission related to sick felines by Sporothrix brasiliensis, the most virulent species from the S. schenckii complex [4]. The treatment of both feline and human sporotrichosis is based on the use of itraconazole 1, which contains the 1,2,4-triazole scaffold in its structure and inhibits the synthesis of sterol, a vital component of the fungus cell membrane [5,6]. Clotrimazole 2, on the other hand, is an imidazole derivative with antifungal activity that is only indicated for topical use due to its toxicity (Figure 1). Similarly to itraconazole, clotrimazole is a synthetic antifungal and its mechanism of action involves the inhibition of sterol biosynthesis [7]. In this sense, Gagini et al. [8] reported the effectiveness of the combination of itraconazole with clotrimazole against S. brasiliensis yeasts (the infective form) from feline and human sporotrichosis isolates, suggesting that clotrimazole by itself or in combination with itraconazole is potentially a new option for the treatment of sporotrichosis. Accordingly, the development of new pharmaceutical technologies for the use of clotrimazole and itraconazole associations is highly desirable in order to increase their efficiency in therapy, decrease adverse effects and provide, especially for felines, alternative treatments. Moreover, the use of a combination antifungal therapy is a promising approach to avoid resistance [9]. Allied to all the mentioned features, the association of known drugs is highly advantageous for the pharmaceutical industry to find innovations for the market, since they can reformulate their products in a more economically advantageous way when compared to the development of new drugs. In addition, the association of drugs already in use in the pharmaceutical market may increase their efficiency with known safety and effectiveness, reintroducing forgotten and/or discarded ones. Figure 1. Chemical structures of clotrimazole and itraconazole. Considering the development of new formulations, microemulsions (MEs) have attracted great interest as potential drug delivery systems, mainly due to their unique physicochemical properties such as drug solubilization and enhanced absorption properties [10,11]. MEs are a thermodynamically stable, isotropic, transparent liquid system consisting of two immiscible liquids (usually water and oil) stabilized by a film of surfactant compounds, suitably combined with a cosurfactant [12,13]. The presence of the surfactant helps to reduce the interfacial tension, making it possible to join the oil and aqueous phases [14,15]. MEs have been proposed as an innovative formulation approach to improve solubility and efficacy and reduce of the toxicity of various drugs. Therefore, when the known hydrophobicity of clotrimazole and itraconazole are taken into account, such systems could be particularly advantageous for their delivery. In light of the aforementioned concepts, this paper reports the initial research phase for the pre-development of a clotrimazole–itraconazole formulation, the first step towards a new antifungal combination. In this sense, the development and characterization of this new pharmaceutical formulation requires the evaluation of parameters such as drug release and stability. Therefore, as a further extension of our work in the field, we have developed a simple, sensitive, and specific HPLC method for the simultaneous quantification of clotrimazole and itraconazole in microemulsion. Although many researchers have investigated clotrimazole and itraconazole singly or in combination with other compounds, to the best of our knowledge, no HPLC method has been developed for the simultaneous determination of both drugs simultaneously, especially in microemulsion systems [16,17]. Finally, we performed an accelerated stability study of this formulation and the developed Molecules 2019, 24, 2333
3 of 15
method was applied to monitor the content of active ingredients. Interestingly, these investigations led
to the detection of a known clotrimazole degradation product whose structure was confirmed using
NMR and HRMS, as well as a possible interaction between itraconazole and benzyl alcohol.
2. Results and Discussion
2.1. Study of the Compatibility between Clotrimazole and Itraconazole
We initiated our studies by analyzing the physicochemical properties of both active ingredients as
well as their compatibility using different techniques such as thermal analyses (differential scanning
calorimetry (DSC) and thermogravimetric/derivative thermogravimetry (TG)/DTG) analysis), powder
X-ray diffraction (XRD) and FTIR.
Initially, we proceeded to characterize the active ingredients and their combination using thermal
analyses, which offer the ability to quickly screen for potential drug–drug incompatibilities. Such
interactions can be of a physical or chemical nature and may affect the stability and bioavailability of
the final product, compromising the therapeutic efficacy and safety [18].
The TG and DTG curves of clotrimazole (Figure 2a) showed that it is thermally stable up to 340
C,
C, as showed in
when its thermal decomposition starts; the highest rate of weight loss occurs at 388.6
C, where a loss of 60% of the total weight is observed. As for
the DTG curve, and is finished at 421.1
C, with a maximum
itraconazole, its thermal decomposition starts at 200
rate at 295.3
C and a total weight loss of 87%. The TG profile of the binary mixture of clotrimazole
and itraconazole (1:1 ratio) showed two decomposition steps, indicating that the compounds undergo
thermal degradation independently, although a small shift in the initial temperature of decomposition
was observed, as expected.
C and is finished at 348.4
◦
◦
◦
◦
◦
◦
Figure 2. Thermogravimetric (TG) and derivative thermogravimetry (DTG) curves for (a) clotrimazole,
(b) itraconazole and (c) the binary mixture of clotrimazole and itraconazole (1:1).
Next, the DSC technique was employed to further analyze the occurrence of events related
to possible interactions between the drugs [19]. It is noteworthy that although such analyses are
conducted upon heating the sample to high temperatures, which is not consistent with the process of
drug production nor its administration to patients, they afford important information regarding the
physical properties of the sample [18].
◦
The DSC curves of the drugs showed endothermic peaks attributed to the melting of the drugs
−1)
between 158.5 and 175.0
for clotrimazole. On the other hand, a single endothermic event was observed in the DSC curve of the
−1), which suggests a strong
binary mixture, starting at 127.7 and finishing at 137.1 (∆H = −25.35 J g
interaction between clotrimazole and itraconazole (Figure 3).
−1) for itraconazole and 136.8 and 153.1
C (∆H = 41.6 J g
C (∆H = 31.5 J g
◦
Molecules 2019, 24, x FOR PEER REVIEW 3 of 15 analytical method was applied to monitor the content of active ingredients. Interestingly, these investigations led to the detection of a known clotrimazole degradation product whose structure was confirmed using NMR and HRMS, as well as a possible interaction between itraconazole and benzyl alcohol. 2. Results and Discussion 2.1. Study of the Compatibility between Clotrimazole and Itraconazole We initiated our studies by analyzing the physicochemical properties of both active ingredients as well as their compatibility using different techniques such as thermal analyses (differential scanning calorimetry (DSC) and thermogravimetric/derivative thermogravimetry (TG)/DTG) analysis), powder X-ray diffraction (XRD) and FTIR. Initially, we proceeded to characterize the active ingredients and their combination using thermal analyses, which offer the ability to quickly screen for potential drug–drug incompatibilities. Such interactions can be of a physical or chemical nature and may affect the stability and bioavailability of the final product, compromising the therapeutic efficacy and safety [18]. The TG and DTG curves of clotrimazole (Figure 2a) showed that it is thermally stable up to 340 °C, when its thermal decomposition starts; the highest rate of weight loss occurs at 388.6 °C, as showed in the DTG curve, and is finished at 421.1 °C, where a loss of 60% of the total weight is observed. As for itraconazole, its thermal decomposition starts at 200 °C and is finished at 348.4 °C, with a maximum rate at 295.3 °C and a total weight loss of 87%. The TG profile of the binary mixture of clotrimazole and itraconazole (1:1 ratio) showed two decomposition steps, indicating that the compounds undergo thermal degradation independently, although a small shift in the initial temperature of decomposition was observed, as expected. Figure 2. Thermogravimetric (TG) and derivative thermogravimetry (DTG) curves for (a) clotrimazole, (b) itraconazole and (c) the binary mixture of clotrimazole and itraconazole (1:1). Next, the DSC technique was employed to further analyze the occurrence of events related to possible interactions between the drugs [19]. It is noteworthy that although such analyses are conducted upon heating the sample to high temperatures, which is not consistent with the process of drug production nor its administration to patients, they afford important information regarding the physical properties of the sample [18]. The DSC curves of the drugs showed endothermic peaks attributed to the melting of the drugs between 158.5 and 175.0 °C (ΔH = 31.5 J g−1) for itraconazole and 136.8 and 153.1 °C (ΔH = 41.6 J g−1) for clotrimazole. On the other hand, a single endothermic event was observed in the DSC curve of the binary mixture, starting at 127.7 and finishing at 137.1 (ΔH = −25.35 J g−1), which suggests a strong interaction between clotrimazole and itraconazole (Figure 3). Molecules 2019, 24, 2333
4 of 15
Figure 3. Differential scanning calorimetry (DSC) profile of itraconazole, clotrimazole, and the
clotrimazole/itraconazole binary mixture (1:1).
In order to further explore the possibility of interactions between the active ingredients, powder
X-ray diffraction (PXRD) analyses were conducted. Interestingly, the diffractogram of the binary
mixture (Figure 4) contained virtually all the peaks of clotrimazole and itraconazole, with no marked
displacement of the peaks being observed. Furthermore, it is important to highlight that it was not
possible to notice the appearance of any new peaks, which means that if there is any interaction between
the drugs, it probably is not strong enough to take place in the solid state. The same observations were
made in the FTIR spectra of the binary mixture, which showed the characteristic bands observed for
the isolated active ingredients (For more details, see the Supplementary Materials).
Figure 4. X-ray diffractograms of clotrimazole, itraconazole, and the binary mixture (1:1).
With the characterization of the active ingredients and the binary mixture in hand, we proceeded
to develop an HPLC method for their quantification in a newly developed microemulsion for the
treatment of sporotrichosis.
Molecules 2019, 24, x FOR PEER REVIEW 4 of 15 80100120140160180200220Heat flow (mW/mg)Temperature (°C) Mixture (1:1) Clotrimazole Itraconazole Figure 3. Differential scanning calorimetry (DSC) profile of itraconazole, clotrimazole, and the clotrimazole/itraconazole binary mixture (1:1). In order to further explore the possibility of interactions between the active ingredients, powder X-ray diffraction (PXRD) analyses were conducted. Interestingly, the diffractogram of the binary mixture (Figure 4) contained virtually all the peaks of clotrimazole and itraconazole, with no marked displacement of the peaks being observed. Furthermore, it is important to highlight that it was not possible to notice the appearance of any new peaks, which means that if there is any interaction between the drugs, it probably is not strong enough to take place in the solid state. The same observations were made in the FTIR spectra of the binary mixture, which showed the characteristic bands observed for the isolated active ingredients (For more details, see the Supplementary Materials). With the characterization of the active ingredients and the binary mixture in hand, we proceeded to develop an HPLC method for their quantification in a newly developed microemulsion for the treatment of sporotrichosis. 10203040ICCCCCCCCCCCCCCCCCCCCIIIIIIIICCCCCIIICCCRelative intensity (a.u.)2θ (°) Binary mixture (1:1) Itraconazole (I) Clotrimazole (C)I Figure 4. X-ray diffractograms of clotrimazole, itraconazole, and the binary mixture (1:1). Molecules 2019, 24, x FOR PEER REVIEW 4 of 15 80100120140160180200220Heat flow (mW/mg)Temperature (°C) Mixture (1:1) Clotrimazole Itraconazole Figure 3. Differential scanning calorimetry (DSC) profile of itraconazole, clotrimazole, and the clotrimazole/itraconazole binary mixture (1:1). In order to further explore the possibility of interactions between the active ingredients, powder X-ray diffraction (PXRD) analyses were conducted. Interestingly, the diffractogram of the binary mixture (Figure 4) contained virtually all the peaks of clotrimazole and itraconazole, with no marked displacement of the peaks being observed. Furthermore, it is important to highlight that it was not possible to notice the appearance of any new peaks, which means that if there is any interaction between the drugs, it probably is not strong enough to take place in the solid state. The same observations were made in the FTIR spectra of the binary mixture, which showed the characteristic bands observed for the isolated active ingredients (For more details, see the Supplementary Materials). With the characterization of the active ingredients and the binary mixture in hand, we proceeded to develop an HPLC method for their quantification in a newly developed microemulsion for the treatment of sporotrichosis. 10203040ICCCCCCCCCCCCCCCCCCCCIIIIIIIICCCCCIIICCCRelative intensity (a.u.)2θ (°) Binary mixture (1:1) Itraconazole (I) Clotrimazole (C)I Figure 4. X-ray diffractograms of clotrimazole, itraconazole, and the binary mixture (1:1). Molecules 2019, 24, 2333
5 of 15
2.2. Determination of the Concentration of Clotrimazole and Itraconazole in Microemulsions Using
HPLC Analyses
Considering the unique properties presented by microemulsions, in the present work, benzyl
alcohol was used as an oil phase, Tween
60 as a surfactant, and propylene glycol as a cosolvent
in the presence of water. These components were chosen on the basis in their previously reported
applications in other pharmaceutical forms available on the international market.
®
In this context, HPLC-DAD (diode array detector) was selected as an analytical tool for the
simultaneous quantification of clotrimazole and itraconazole in the developed microemulsion through
a rapid, simple, and isocratic method [20]. In our study, the best separation condition was achieved
using a C18 analytical column with a mobile phase composed of acetonitrile and a phosphate buffered
saline 0.05 M (pH 8.0 with ammonium hydroxide 1 M) in the ratio (v/v) 60:40, respectively, with a
−1 flow rate and UV detection at 190 nm. A typical chromatogram is presented in Figure 5,
1 mL min
with a retention time of 9.1 min being observed for clotrimazole and 10.9 min for itraconazole.
Figure 5. Chromatograms of the (a) mobile phase and (b) standard solution containing a binary mixture
of itraconazole and clotrimazole.
Molecules 2019, 24, x FOR PEER REVIEW 5 of 15 2.2. Determination of the Concentration of Clotrimazole and Itraconazole in Microemulsions Using HPLC Analyses Considering the unique properties presented by microemulsions, in the present work, benzyl alcohol was used as an oil phase, Tween® 60 as a surfactant, and propylene glycol as a cosolvent in the presence of water. These components were chosen on the basis in their previously reported applications in other pharmaceutical forms available on the international market. In this context, HPLC-DAD (diode array detector) was selected as an analytical tool for the simultaneous quantification of clotrimazole and itraconazole in the developed microemulsion through a rapid, simple, and isocratic method [20]. In our study, the best separation condition was achieved using a C18 analytical column with a mobile phase composed of acetonitrile and a phosphate buffered saline 0.05 M (pH 8.0 with ammonium hydroxide 1 M) in the ratio (v/v) 60:40, respectively, with a 1 mL min−1 flow rate and UV detection at 190 nm. A typical chromatogram is presented in Figure 5, with a retention time of 9.1 min being observed for clotrimazole and 10.9 min for itraconazole. (a) (b) Figure 5. Chromatograms of the (a) mobile phase and (b) standard solution containing a binary mixture of itraconazole and clotrimazole. Molecules 2019, 24, 2333
6 of 15
To evaluate the linearity of the method, calibration standards of clotrimazole (5–200 µg mL
−1)
−1) were analyzed. A linear relationship was established for the injected
and itraconazole (5–160 µg mL
concentration ranges versus the peak area for both analytes, with determination coefficients greater than
0.9988 (see the calibration curves in the Supplementary Materials). The calibration curve parameters
are reported in Table 1, with the linearity parameters of the method shown in Table 2.
Table 1. Summary of the validation data obtained for the proposed HPLC method developed for
the quantification of clotrimazole and itraconazole in microemulsions. LOD—limit of detection;
LOQ—limit of quantification.
Standard Solutions
Parameters of the Method
Validation Results
Clotrimazole
Itraconazole
Linearity
LOD
LOQ
Slope
Interception
Linearity
LOD
LOQ
Slope
Interception
Calibration range (µg mL
−1): 5–200
y = 233647.7939x − 312039.9299 (R2 = 0.9988)
0.84 µg mL
2.54 µg mL
233647.7939 ± 976.8015153
−312039.9299 ± 59416.57811
−1
−1
Calibration range (µg mL
−1): 5–160
y = 89946.6896x − 79996.5373 (R2 = 0.9999)
0.86 µg mL
2.60 µg mL
89946.6896 ± 780.1420761
−79996.53731 ± 23351.48986
−1
−1
Table 2. Data related to the linearity of the developed HPLC method with its respective average,
precision, and accuracy.
Concentration (µg/mL)
Clotrimazole
Itraconazole
Average
(µg/mL)
Accuracy
(%)
Precision
(%)
Average
(µg/mL)
Accuracy
(%)
Precision
(%)
5
10
20
40
80
160
200
4.883
9.292
19.233
38.927
77.731
151.888
204.631
97.7
92.9
96.2
97.3
97.2
94.9
102.3
0.20
0.57
0.40
0.01
1.08
0.71
0.65
5.593
10.115
20.029
39.621
79.154
160.488
-
111.9
101.2
100.1
99.1
98.9
100.3
-
0.86
0.91
0.58
1.12
1.81
0.82
-
The method’s selectivity was confirmed by the absence of interferences at the retention times
of itraconazole and clotrimazole in the microemulsion prepared without the drugs (Figure 6). The
purity of the compounds was checked using PDA (photodiode array) detection. The within-assay
precision (repeatability) was carried out by performing six consecutive analyses of standard solution
at three different concentrations for each drug on the same day. The samples were also analyzed
on different days to evaluate the between-assay precision (intermediate precision). The obtained
values were evaluated through the dispersion of the results by calculating the standard deviation of
the measurement series. The intra- and inter-day precision relative standard deviation (RSD %) was
between 1.18 and 0.8 for clotrimazole and 1.48 and 0.84 for itraconazole. The recovery of the drugs was
in the range of 93.8–100.9% with RSDs below 2.35% for clotrimazole and in the range of 100.5–104.3%
with RSDs below 2.40% for itraconazole. The results are given in Table 3.
Molecules 2019, 24, 2333
7 of 15
Figure 6. Chromatogram obtained from the injection of the microemulsion using the developed
HPLC method.
Table 3. Data related to the repeatability and intermediate precision of the developed HPLC method.
Samples (µg mL−1)
Intra-Day Precision (Repeatability)
Inter-Day Precision (Intermediate Precision)
Clotrimazole
Concentration
−1)
Found (µg mL
7
15
120
6.818
14.510
116.679
Itraconazole
Concentration
−1)
Found (µg mL
7
70
150
7.206
70.809
152.745
Accuracy
(%)
97.4 ±2.25
96.7 ±1.13
97.2 ±0.27
Accuracy
(%)
102.9 ± 1.33
101.2 ± 1.15
101.8 ± 0.85
Precision
(%)
Concentration
−1)
Found (µg mL
0.47
1.18
0.28
6.865
14.075
121.108
Precision
(%)
Concentration
−1)
Found (µg mL
1.48
1.16
0.84
7.305
70.374
160.98
Accuracy
(%)
98.07 ± 1.17
93.83 ± 3.17
100.92 ± 4.28
Accuracy
(%)
104.35 ± 1.25
100.53 ± 2.41
100.61 ± 4.9
Precision
(%)
2.35
0.95
0.28
Precision
(%)
1.20
2.40
1.59
No changes were observed in the drug concentrations of the stock solutions under storage
conditions. Indeed, further analyses showed that the percent recovery of clotrimazole and itraconazole
were, respectively, 97.3% ± 3.15 and 91.3% ± 2.71 at room temperature (25
C) and 94.2 ± 0.34 and
88.7 ± 1.63 under refrigeration (−5
C, Table 4). Moreover, the drugs were stable for at least 30 days
under storage conditions, with RSDs below 8%.
◦
◦
Table 4. Data related to the stability of the assay of the developed HPLC method. N = 2 for each day
and condition.
Days
Accuracy (%)
Precision (%)
Accuracy (%)
Precision (%)
Clotrimazole
Itraconazole
0
7
15
30
◦
97.3 ± 0.94 (25
105.7 ± 0.89 (25
104.9 ± 0.07 (−5
105.3 ± 1.51 (25
105.5 ± 0.39 (−5
◦
97.3 ± 3.15 (25
94.2 ± 0.34 (−5
C)
◦
C)
C)
C)
C)
◦
◦
◦
C)
◦
C)
1.18
0.85
0.07
1.45
0.38
0.62
0.73
101.4 ± 0.62
98.6 ± 4.48
98.4 ± 7.79
101.3 ± 0.51
100.1 ± 3.71
91.3 ± 2.71
88.7 ± 1.63
0.84
4.57
7.96
0.50
3.74
3.21
3.04
In order to evaluate the robustness of the chromatographic method, assays were carried out
by changing both the column brand and ratio of the mobile phase for acetonitrile 70:30 (v/v) and
a phosphate buffered saline 0.05 M (pH 8.0 with ammonium hydroxide 1 M). The alteration of the
Molecules 2019, 24, x FOR PEER REVIEW 7 of 15 Figure 6. Chromatogram obtained from the injection of the microemulsion using the developed HPLC method. Table 3. Data related to the repeatability and intermediate precision of the developed HPLC method. Samples (µg mL−1) Intra-Day Precision (Repeatability) Inter-Day Precision (Intermediate Precision) Clotrimazole Concentration Found (µg mL−1) Accuracy (%) Precision (%) Concentration Found (µg mL−1) Accuracy (%) Precision (%) 7 6.818 97.4 ±2.25 0.47 6.865 98.07 ± 1.17 2.35 15 14.510 96.7 ±1.13 1.18 14.075 93.83 ± 3.17 0.95 120 116.679 97.2 ±0.27 0.28 121.108 100.92 ± 4.28 0.28 Itraconazole Concentration Found (µg mL−1) Accuracy (%) Precision (%) Concentration Found (µg mL−1) Accuracy (%) Precision (%) 7 7.206 102.9 ± 1.33 1.48 7.305 104.35 ± 1.25 1.20 70 70.809 101.2 ± 1.15 1.16 70.374 100.53 ± 2.41 2.40 150 152.745 101.8 ± 0.85 0.84 160.98 100.61 ± 4.9 1.59 No changes were observed in the drug concentrations of the stock solutions under storage conditions. Indeed, further analyses showed that the percent recovery of clotrimazole and itraconazole were, respectively, 97.3% ± 3.15 and 91.3% ± 2.71 at room temperature (25 °C) and 94.2 ± 0.34 and 88.7 ± 1.63 under refrigeration (−5 °C, Table 4). Moreover, the drugs were stable for at least 30 days under storage conditions, with RSDs below 8%. Table 4. Data related to the stability of the assay of the developed HPLC method. N = 2 for each day and condition. Days Accuracy (%) Precision (%) Accuracy (%) Precision (%) Clotrimazole Itraconazole 0 97.3 ± 0.94 (25 °C) 1.18 101.4 ± 0.62 0.84 7 105.7 ± 0.89 (25 °C) 0.85 98.6 ± 4.48 4.57 104.9 ± 0.07 (−5 °C) 0.07 98.4 ± 7.79 7.96 15 105.3 ± 1.51 (25 °C) 1.45 101.3 ± 0.51 0.50 105.5 ± 0.39 (−5 °C) 0.38 100.1 ± 3.71 3.74 30 97.3 ± 3.15 (25 °C) 0.62 91.3 ± 2.71 3.21 94.2 ± 0.34 (−5 °C) 0.73 88.7 ± 1.63 3.04 In order to evaluate the robustness of the chromatographic method, assays were carried out by changing both the column brand and ratio of the mobile phase for acetonitrile 70:30 (v/v) and a Molecules 2019, 24, 2333
8 of 15
column brand and the mobile phase did not promote any significant variations in the retention time of
clotrimazole and itraconazole peaks; a good resolution was observed with retention times of 8 min for
clotrimazole and 10.7 min for itraconazole (Figure 7).
Figure 7. Chromatogram of clotrimazole and itraconazole obtained in the robustness studies.
2.3. Study of the Stability of a Novel Microemulsion Containing Clotrimazole and Itraconazole
Subsequently, the developed method was used in the determination of clotrimazole and
itraconazole in the newly developed microemulsion with the purpose of quantifying the drugs
in the formulation, as well as in the accelerated stability study. Based on the assumption that possible
interactions and incompatibilities may arise from the contact between the drugs over time, they were
left to stand for three months, both under refrigeration and heating conditions, and further analyzed.
The initial drug content of the microemulsion was taken as 100%, and the drug content over time
was plotted (Figure 8), with all data being represented as mean ± SD (n = 3). For the samples stored at
5
C, no significant changes were observed for both drugs when compared to the first day. Furthermore,
it is noteworthy that there was no evident interaction between clotrimazole and itraconazole at this
temperature, since the peaks of both drugs were detected independently without the appearance of
any additional peaks. On the other hand, when the samples that were stored at 40
C were analyzed, it
was possible to notice a significant decrease in the concentration of the drugs over time, especially for
clotrimazole. Additionally, a new peak could also be observed in the chromatogram of such samples
(Figure 9).
◦
◦
Molecules 2019, 24, x FOR PEER REVIEW 8 of 15 phosphate buffered saline 0.05 M (pH 8.0 with ammonium hydroxide 1 M). The alteration of the column brand and the mobile phase did not promote any significant variations in the retention time of clotrimazole and itraconazole peaks; a good resolution was observed with retention times of 8 min for clotrimazole and 10.7 min for itraconazole (Figure 7). Figure 7. Chromatogram of clotrimazole and itraconazole obtained in the robustness studies. 2.3. Study of the Stability of a Novel Microemulsion Containing Clotrimazole and Itraconazole Subsequently, the developed method was used in the determination of clotrimazole and itraconazole in the newly developed microemulsion with the purpose of quantifying the drugs in the formulation, as well as in the accelerated stability study. Based on the assumption that possible interactions and incompatibilities may arise from the contact between the drugs over time, they were left to stand for three months, both under refrigeration and heating conditions, and further analyzed. The initial drug content of the microemulsion was taken as 100%, and the drug content over time was plotted (Figure 8), with all data being represented as mean ± SD (n = 3). For the samples stored at 5 °C, no significant changes were observed for both drugs when compared to the first day. Furthermore, it is noteworthy that there was no evident interaction between clotrimazole and itraconazole at this temperature, since the peaks of both drugs were detected independently without the appearance of any additional peaks. On the other hand, when the samples that were stored at 40 °C were analyzed, it was possible to notice a significant decrease in the concentration of the drugs over time, especially for clotrimazole. Additionally, a new peak could also be observed in the chromatogram of such samples (Figure 9). 020406080020406080100Concentration (%)Time (days) Clotrimazole 40°C Clotrimazole 5°C Itraconazole 40°C Itraconazole 5°C Figure 8. Graph showing the concentration of clotrimazole and itraconazole over time in different conditions. All data is represented as mean ± SD (n = 3). Molecules 2019, 24, 2333
9 of 15
Figure 8. Graph showing the concentration of clotrimazole and itraconazole over time in different
conditions. All data is represented as mean ± SD (n = 3).
Figure 9. Cont.
Molecules 2019, 24, x FOR PEER REVIEW 8 of 15 phosphate buffered saline 0.05 M (pH 8.0 with ammonium hydroxide 1 M). The alteration of the column brand and the mobile phase did not promote any significant variations in the retention time of clotrimazole and itraconazole peaks; a good resolution was observed with retention times of 8 min for clotrimazole and 10.7 min for itraconazole (Figure 7). Figure 7. Chromatogram of clotrimazole and itraconazole obtained in the robustness studies. 2.3. Study of the Stability of a Novel Microemulsion Containing Clotrimazole and Itraconazole Subsequently, the developed method was used in the determination of clotrimazole and itraconazole in the newly developed microemulsion with the purpose of quantifying the drugs in the formulation, as well as in the accelerated stability study. Based on the assumption that possible interactions and incompatibilities may arise from the contact between the drugs over time, they were left to stand for three months, both under refrigeration and heating conditions, and further analyzed. The initial drug content of the microemulsion was taken as 100%, and the drug content over time was plotted (Figure 8), with all data being represented as mean ± SD (n = 3). For the samples stored at 5 °C, no significant changes were observed for both drugs when compared to the first day. Furthermore, it is noteworthy that there was no evident interaction between clotrimazole and itraconazole at this temperature, since the peaks of both drugs were detected independently without the appearance of any additional peaks. On the other hand, when the samples that were stored at 40 °C were analyzed, it was possible to notice a significant decrease in the concentration of the drugs over time, especially for clotrimazole. Additionally, a new peak could also be observed in the chromatogram of such samples (Figure 9). 020406080020406080100Concentration (%)Time (days) Clotrimazole 40°C Clotrimazole 5°C Itraconazole 40°C Itraconazole 5°C Figure 8. Graph showing the concentration of clotrimazole and itraconazole over time in different conditions. All data is represented as mean ± SD (n = 3). Molecules 2019, 24, x FOR PEER REVIEW 9 of 15 020406080020406080100 Concentration (%)Time (days) Clotrimazole 40°C Clotrimazole 5°C Itraconazole 40°C Itraconazole 5°C Figure 8. Graph showing the concentration of clotrimazole and itraconazole over time in different conditions. All data is represented as mean ± SD (n = 3). (A) 30 days (40 °C) (B) 60 days (40 °C) Molecules 2019, 24, 2333
10 of 15
Figure 9. HPLC chromatograms for the samples in the stability study after (A) 30 days, (B) 60 days,
and (C) 90 days.
In order to investigate the formation of this compound, which might be a result of the interaction
between clotrimazole and itraconazole, we conducted further studies. Initially, we sought to investigate
which degradation products could be formed from the degradation of both drugs and found that the
degradation of clotrimazole is well-reported under acidic conditions, giving product 3 (Figure 10).
Figure 10. Reaction scheme showing the degradation of clotrimazole in acid medium.
◦
With these concepts in mind, we conducted the synthesis of compound 3 from clotrimazole
by heating it at 80
C in the presence of acetonitrile and concentrated hydrochloric acid for 2 h;
the product identity was confirmed using NMR and HRMS by comparing the obtained data with
previous reports (for details, see the Supplementary Materials) [21]. Next, we conducted the forced
degradation of a mixture of itraconazole and clotrimazole by heating both at 50
C for 24 h in a solution
of acetonitrile, water, and benzyl alcohol-mimicking the microemulsion composition—and isolated the
formed product using column chromatography.
◦
With both compounds in hand, we analyzed product 3 and the degradation product by HPLC
using the developed method, and the comparison of the retention times of both compounds proved
that, indeed, product 3 is formed from the degradation of clotrimazole under acidic conditions.
Furthermore, the retention time was also a match for the product previously detected in the stability
studies conducted at 40
C, which proves that under specific conditions, clotrimazole may undergo
degradation in the presence of traces of acid, forming 3. However, the formation of 3 was not observed
in the stability studies conducted at 5
C, which shows the viability of this novel microemulsion and
encourages carrying out further studies for its development.
◦
◦
The content of itraconazole (% w/w) in the microemulsions stored in climatic chambers also
underwent a slight decrease, which was less significant when compared to clotrimazole. In order
to exclude the possibility of interaction between the drugs, the decrease in itraconazole content was
also investigated. However, unlike clotrimazole, degradation studies of itraconazole are not found in
the literature. Thus, an aliquot was collected directly from the chromatographic system at the same
retention time as the degradation product formed during the stability study; at a low intensity, it
Molecules 2019, 24, x FOR PEER REVIEW 10 of 15 (C) 90 days (40 °C) Figure 9. HPLC chromatograms for the samples in the stability study after (A) 30 days, (B) 60 days, and (C) 90 days. In order to investigate the formation of this compound, which might be a result of the interaction between clotrimazole and itraconazole, we conducted further studies. Initially, we sought to investigate which degradation products could be formed from the degradation of both drugs and found that the degradation of clotrimazole is well-reported under acidic conditions, giving product 3 (Figure 10). Figure 10. Reaction scheme showing the degradation of clotrimazole in acid medium. With these concepts in mind, we conducted the synthesis of compound 3 from clotrimazole by heating it at 80 °C in the presence of acetonitrile and concentrated hydrochloric acid for 2 h; the product identity was confirmed using NMR and HRMS by comparing the obtained data with previous reports (for details, see the Supplementary Materials) [21]. Next, we conducted the forced degradation of a mixture of itraconazole and clotrimazole by heating both at 50 °C for 24 h in a solution of acetonitrile, water, and benzyl alcohol-mimicking the microemulsion composition—and isolated the formed product using column chromatography. With both compounds in hand, we analyzed product 3 and the degradation product by HPLC using the developed method, and the comparison of the retention times of both compounds proved that, indeed, product 3 is formed from the degradation of clotrimazole under acidic conditions. Furthermore, the retention time was also a match for the product previously detected in the stability studies conducted at 40 °C, which proves that under specific conditions, clotrimazole may undergo degradation in the presence of traces of acid, forming 3. However, the formation of 3 was not observed in the stability studies conducted at 5 °C, which shows the viability of this novel microemulsion and encourages carrying out further studies for its development. The content of itraconazole (% w/w) in the microemulsions stored in climatic chambers also underwent a slight decrease, which was less significant when compared to clotrimazole. In order to exclude the possibility of interaction between the drugs, the decrease in itraconazole content was also investigated. However, unlike clotrimazole, degradation studies of itraconazole are not found in the literature. Thus, an aliquot was collected directly from the chromatographic system at the same retention time as the degradation product formed during the stability study; at a low intensity, it was Molecules 2019, 24, x FOR PEER REVIEW 10 of 15 NClN2H2OH+ (cat)OHCl3+NHN4+ Figure 10. Reaction scheme showing the degradation of clotrimazole in acid medium. With these concepts in mind, we conducted the synthesis of compound 3 from clotrimazole by heating it at 80 °C in the presence of acetonitrile and concentrated hydrochloric acid for 2 h; the product identity was confirmed using NMR and HRMS by comparing the obtained data with previous reports (for details, see the Supplementary Materials) [21]. Next, we conducted the forced degradation of a mixture of itraconazole and clotrimazole by heating both at 50 °C for 24 h in a solution of acetonitrile, water, and benzyl alcohol-mimicking the microemulsion composition—and isolated the formed product using column chromatography. With both compounds in hand, we analyzed product 3 and the degradation product by HPLC using the developed method, and the comparison of the retention times of both compounds proved that, indeed, product 3 is formed from the degradation of clotrimazole under acidic conditions. Furthermore, the retention time was also a match for the product previously detected in the stability studies conducted at 40 °C, which proves that under specific conditions, clotrimazole may undergo degradation in the presence of traces of acid, forming 3. However, the formation of 3 was not observed in the stability studies conducted at 5 °C, which shows the viability of this novel microemulsion and encourages carrying out further studies for its development. The content of itraconazole (% w/w) in the microemulsions stored in climatic chambers also underwent a slight decrease, which was less significant when compared to clotrimazole. In order to exclude the possibility of interaction between the drugs, the decrease in itraconazole content was also investigated. However, unlike clotrimazole, degradation studies of itraconazole are not found in the literature. Thus, an aliquot was collected directly from the chromatographic system at the same retention time as the degradation product formed during the stability study; at a low intensity, it was possible to observe a product with a mass-to-charge ratio (m/z) of 437.1931. Considering that the itraconazole concentration change was lower than for clotrimazole, we hypothesized that an interaction of itraconazole with some other excipient of the microemulsion may be taking place. In that sense, we propose that the degradation product may be formed by the nucleophilic addition of benzyl alcohol to the methylene group linking the phenolic aromatic part with the 1,3-dioxolane ring (Figure 11); indeed, the mass-to-charge ratio was a match for the proposed product. It is worth mentioning that although we have observed a good match in a mass-to-charge ratio of 437.1931, further studies are necessary to confirm whether the proposed structure is indeed the correct one, such as the isolation and complete spectroscopic characterization of this compound, which was not possible at the scale we were working. Figure 11. Scheme showing the reaction between itraconazole and benzyl alcohol. Molecules 2019, 24, 2333
11 of 15
was possible to observe a product with a mass-to-charge ratio (m/z) of 437.1931. Considering that the
itraconazole concentration change was lower than for clotrimazole, we hypothesized that an interaction
of itraconazole with some other excipient of the microemulsion may be taking place. In that sense, we
propose that the degradation product may be formed by the nucleophilic addition of benzyl alcohol to
the methylene group linking the phenolic aromatic part with the 1,3-dioxolane ring (Figure 11); indeed,
the mass-to-charge ratio was a match for the proposed product. It is worth mentioning that although
we have observed a good match in a mass-to-charge ratio of 437.1931, further studies are necessary to
confirm whether the proposed structure is indeed the correct one, such as the isolation and complete
spectroscopic characterization of this compound, which was not possible at the scale we were working.
Figure 11. Scheme showing the reaction between itraconazole and benzyl alcohol.
3. Experimental Methods
3.1. Materials for Analytical Method Development
Clotrimazole and itraconazole (as a mixture of stereoisomers) standards were purchased from
Merck, São Paulo, SP, Brazil. Microemulsions were prepared using Tween
60, propylene glycol, and
benzyl alcohol, all purchased from Merck, São Paulo, SP, Brazil. HPLC-grade acetonitrile was acquired
from J.T. Baker Inc., Phillipsburg, NJ, USA. Clotrimazole (Jintan Zhongxing Pharmaceutical Chemical
Co., Ltd., Mainland, China) and itraconazole (Metrochem API, Telangana, India) were donated by
Valdequimica Produtos Quimicos Ltd., São Paulo, Brazil. All solutions were prepared with ultra-pure
Milli-Q water obtained from a Milli-Q Water Millipore purification system (Burlington, MA, USA).
®
3.2. Compatibility Study of Clotrimazole and Itraconazole
3.2.1. Preparation of Clotrimazole/Itraconazole Binary Mixtures
The binary mixtures were prepared and homogenized by taking clotrimazole and itraconazole
in a 1:1 proportion (w:w). These mixtures were further used for X-ray powder diffraction, Fourier
transform infrared spectroscopy (FTIR), and thermal analyses.
3.2.2. X-ray Powder Diffraction (PXRD)
PXRD patterns were collected on a Bruker D8 Venture diffractometer system (Bruker, Billerica,
MA, USA) operating at 1.5406 Å, 40 kV voltage, and a current of 40 mA using a Cu Kα radiation source.
The samples were contained in a flat poly(methyl methacrylate) sample holder and the data acquisition
◦
was done in a range of 5 to 70
◦/0.1 s step size over a total period of 10 min.
(2θ) at 0.019
3.2.3. Fourier Transform Infrared Spectroscopy (FTIR)
The FTIR spectra of the solid samples were obtained using a Varian FT-IR 660 equipment (Varian
Inc., Walnut Creek, CA, USA). A hydraulic press was used to prepare pellets for analysis. The KBr
pellets contained 3 mg of a sample and 100 mg of KBr. Spectra were collected with a resolution of
4 cm
−1 on the spectral domain of 3800–600 cm
−1.
Molecules 2019, 24, x FOR PEER REVIEW 10 of 15 NClN2H2OH+ (cat)OHCl3+NHN4+ Figure 10. Reaction scheme showing the degradation of clotrimazole in acid medium. With these concepts in mind, we conducted the synthesis of compound 3 from clotrimazole by heating it at 80 °C in the presence of acetonitrile and concentrated hydrochloric acid for 2 h; the product identity was confirmed using NMR and HRMS by comparing the obtained data with previous reports (for details, see the Supplementary Materials) [21]. Next, we conducted the forced degradation of a mixture of itraconazole and clotrimazole by heating both at 50 °C for 24 h in a solution of acetonitrile, water, and benzyl alcohol-mimicking the microemulsion composition—and isolated the formed product using column chromatography. With both compounds in hand, we analyzed product 3 and the degradation product by HPLC using the developed method, and the comparison of the retention times of both compounds proved that, indeed, product 3 is formed from the degradation of clotrimazole under acidic conditions. Furthermore, the retention time was also a match for the product previously detected in the stability studies conducted at 40 °C, which proves that under specific conditions, clotrimazole may undergo degradation in the presence of traces of acid, forming 3. However, the formation of 3 was not observed in the stability studies conducted at 5 °C, which shows the viability of this novel microemulsion and encourages carrying out further studies for its development. The content of itraconazole (% w/w) in the microemulsions stored in climatic chambers also underwent a slight decrease, which was less significant when compared to clotrimazole. In order to exclude the possibility of interaction between the drugs, the decrease in itraconazole content was also investigated. However, unlike clotrimazole, degradation studies of itraconazole are not found in the literature. Thus, an aliquot was collected directly from the chromatographic system at the same retention time as the degradation product formed during the stability study; at a low intensity, it was possible to observe a product with a mass-to-charge ratio (m/z) of 437.1931. Considering that the itraconazole concentration change was lower than for clotrimazole, we hypothesized that an interaction of itraconazole with some other excipient of the microemulsion may be taking place. In that sense, we propose that the degradation product may be formed by the nucleophilic addition of benzyl alcohol to the methylene group linking the phenolic aromatic part with the 1,3-dioxolane ring (Figure 11); indeed, the mass-to-charge ratio was a match for the proposed product. It is worth mentioning that although we have observed a good match in a mass-to-charge ratio of 437.1931, further studies are necessary to confirm whether the proposed structure is indeed the correct one, such as the isolation and complete spectroscopic characterization of this compound, which was not possible at the scale we were working. Figure 11. Scheme showing the reaction between itraconazole and benzyl alcohol. Molecules 2019, 24, 2333
12 of 15
3.2.4. Thermal Analyses
DSC data were collected on a Shimadzu Differential Scanning Calorimeter DSC-60A (Shimadzu,
Quioto, Japan). Approximately 4 mg samples were placed in aluminum pans, and the temperature
−1 under nitrogen flow
program was set to increase from 30 to 250
(50 mL min
C with a heating rate of 10
C min
−1).
◦
◦
Thermogravimetric (TG) analyses were performed using a Netzsch STA 409 PC/PG (Netzsch,
−1 at a heating rate of
Selb, Germany) under a nitrogen atmosphere with a flow rate of 60 mL min
◦
10
−1 over the range of 30 to 300
C and using 6 mg of sample in an aluminum cell.
C min
◦
3.3. Instruments and Chromatographic Conditions
Chromatographic experiments were performed on a Shimadzu SPD-M20A system (Shimadzu,
Quioto, Japan). The chromatographic separations were performed using a 150 mm × 4.6 mm i.d. (5 µm
particle size) Fortis C18 column in isocratic elution mode with acetonitrile and phosphate buffered
−1.
saline 0.05 M pH 8.0 adjusted with ammonium hydroxide 1 M (60:40, v/v) at a flow rate of 1.0 mL min
The detection wavelength was set at 190 nm, and the injection volume was 20 µL.
3.4. Standard Stock Solutions and Calibration Standards
Standard stock solutions of clotrimazole and itraconazole were freshly prepared by dissolving the
−1) Calibration standards in the concentration range of 5, 10, 20, 40, 80,
−1 were prepared in the appropriate volumetric flasks by diluting the stock solution
drugs in methanol (0.2 mg mL
160, and 200 µg mL
in the mobile phase. An aliquot (20 µL) of the solution was then directly injected into the HPLC.
3.5. Sample Preparation
An amount of microemulsion was accurately weighted to contain 25 mg clotrimazole and
C. The sample was
itraconazole in a 50 mL centrifuge tube and heated for 5 min in a water bath at 50
then removed from the bath, shaken until cooled to room temperature, and placed in an ice-methanol
bath. Next, the sample was centrifuged for 5 min and extracted with chloroform (5 mL). Finally,
the solvent was removed under a stream of gaseous nitrogen, and the residue was diluted in the
mobile phase.
◦
3.6. Method Validation Protocol
The proposed method was validated under the optimized conditions regarding its linearity
range, selectivity, sensitivity, precision, accuracy and stability of the assay according to the regulatory
guidelines requirements (FDA).
3.6.1. Linearity Range
The linearity range was evaluated by measuring the chromatographic peak area responses of the
drugs at seven concentration levels and in triplicate. Analytical curves were constructed by plotting
the peak area against the concentration of itraconazole and clotrimazole (Figures 2 and 3), which gives
the regression equation. The results are presented in Table 1.
3.6.2. Selectivity
To ensure the selectivity of the proposed method, drug-free microemulsions were prepared and
analyzed in the described chromatographic conditions.
3.6.3. Sensitivity
The sensitivity was determined by means of the limit of detection (LOD) and limit of quantification
(LOQ). One of the ways to calculate the LOD (Equation (1)) and LOQ (Equation (2)) is based on the
Molecules 2019, 24, 2333
13 of 15
standard deviation (σ) of the y-intercept from the regression of the calibration standard. The results
are given in Table 1.
LOD =
3, 3.σ
s
LOD (σ—standard deviation; s—slope of the calibration standard).
LOQ =
10.σ
s
LOQ (σ—standard deviation; s—slope of the calibration standard).
3.6.4. Precision and Accuracy
(1)
(2)
The accuracy and precision of the method were estimated by quintuplicate quality control
−1 (medium QC),
(QC) samples prepared using the mobile phase: 7 µg mL
−1 (medium QC),
−1 (high QC) for clotrimazole and 7 µg mL
and 120 µg mL
−1 (high QC) for itraconazole. Accuracy was established through back-calculation
and 150 µg mL
and expressed as the percent difference between the found and the nominal concentration for each
compound, and the precision was calculated as the coefficient of variation (CV) of the replicate
measurements. Calibration standards and QC samples were analyzed in three different batches in
order to determine the intra and inter-batch variability.
−1 (low QC), 15 µg mL
−1 (low QC), 70 µg mL
3.6.5. Stability
The stability of the standard solutions was investigated after storage for 7, 15, and 30 days at room
temperature (25
◦
C) and under refrigeration (−5
◦
C) using the working solution.
3.6.6. Robustness
The robustness of an analytical method is a measure of its capacity to resist changes due to
small variations in parameter conditions, e.g., by using a different column. In this way, the method
robustness was assessed as a function of changing the column brand for a C18 Agilent column (Agilent
Technologies Inc, Santa Clara, CA, USA), (150 × 4.6 mm × 5 µm) and the ratio of the mobile phase.
3.7. Application of the Method
3.7.1. Microemulsion Preparation
®
With the developed method in hand, the next step was to develop a stable microemulsion
using a combination of clotrimazole and itraconazole. MEs were composed of benzyl alcohol, the
non-ionic surfactant Tween
60, propylene glycol, and water. The optimum weight ratios of the
components and MEs’ areas were determined using a pseudo-ternary phase diagram (data not shown
in this work). The systems were prepared as previously described [22]; the surfactant (Tween
60)
and cosolvent (propylene glycol) were prepared separately, and clotrimazole and itraconazol were
solubilized in benzyl alcohol and added to the mixture. The pseudo-ternary phase diagrams of oil,
surfactant/cosolvent, and water were set up using the water titration method.
®
3.7.2. Stability Study
The stability profile of the prepared microemulsion at accelerated conditions was studied according
to the ICH guidelines. The formulation was placed separately in an amber-colored screw-capped glass
container and stored at 40 ± 2
C for 3 months, with sampling at 0, 30, 60, and 90 days.
The samples were then evaluated for drug content using the developed HPLC method.
C and 5–8 ± 3
◦
◦
Molecules 2019, 24, 2333
14 of 15
3.8. Characterization of the Synthetized Compounds
NMR spectra were obtained using a Varian Unity Plus VXR (Varian Inc., Walnut Creek, CA,
USA), 500 MHz instrument in CDCl3 solutions. The chemical shifts were reported in units of d (ppm)
downfield from tetramethylsilane, which was used as an internal standard; coupling constants (J) are
reported in hertz and refer to apparent peak multiplicities. High-resolution mass spectra (HRMS) were
recorded on a MICROMASS Q-TOF mass spectrometer (Waters, Milford, MA, USA).
4. Conclusions
The combination of clotrimazole and itraconazole in a pharmaceutical formulation is of great
importance owing to the potential of generating a new option for the treatment of sporotrichosis.
In this sense, the preformulation investigation using different techniques (DSC, TG, PXRD, FTIR) was
essential to examine the existence of possible clotrimazole–itraconazole interactions.
Furthermore, an HPLC method was developed and validated according to standard guidelines,
and it is the first reported method for the simultaneous determination of clotrimazole and itraconazole
in nanotechnology-based products such as microemulsions. Based on our results, it was possible to
conclude that there is no other co-eluting peak along with those of interest, the method being specific
for the estimation of clotrimazole and itraconazole.
Interestingly, accelerated stability studies showed that a product derived from clotrimazole
was formed, as well as a possible interaction between itraconazole and benzyl alcohol, when the
microemulsion was conditioned at elevated temperatures (40
C). On the other hand, the studies
C showed that the microemulsion is stable for at least 3 months, as no degradation
conducted at 5
peaks were observed in the HPLC analysis, which allows us to infer that it is possible to guarantee the
stability of the formulation under refrigeration.
◦
◦
Supplementary Materials: Supplementary materials are available online. Figure S1: Analytical calibration curve
for clotrimazole, Figure S2: Analytical calibration curve for itraconazole, Figure S3: IR spectra of clotrimazole,
itraconazole and their binary mixture (1:1), Figure S4: HPLC chromatogram of compound 3, Figure S5: HPLC
chromatogram of the decomposition product formed via the forced degradation of clotrimazole in the presence
of itraconazole.
Author Contributions: All authors have read this manuscript and concur with its submission. The contributions
of each author are listed as follows: P.G.F.—Conceptualization, Data curation, Formal analysis, Investigation,
Methodology, Roles/Writing—original draft; C.G.d.S.L.—Conceptualization, Data curation, Formal analysis,
Investigation, Methodology, Writing—review & editing; L.L.N.—Data curation, Formal analysis, Investigation;
Methodology; M.C.d.M.—Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Funding
acquisition, Writing—review & editing; F.d.C.d.S.—Conceptualization, Funding acquisition, Project administration,
Resources, Supervision, Validation, Visualization; A.L.V.—Conceptualization; D.O.F.—Conceptualization, Funding
acquisition, Supervision, Writing—review & editing; V.F.F.—Conceptualization, Funding acquisition, Project
administration, Resources, Supervision, Writing—review & editing.
Funding: This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de
Nível Superior-Brasil (CAPES)-Finance Code 001, CNPq (303713/2014-3) and FAPERJ (E-26/2002.800/2017,
E-26/200.930/2017).
Conflicts of Interest: All authors declare that there is no conflict of interest.
References
1.
2.
3.
4.
Chakrabarti, A.; Bonifaz, A.; Gutierrez-Galhardo, M.C.; Mochizuki, T.; Li, S. Global epidemiology of
sporotrichosis. Med. Mycol. 2015, 53, 3–14. [CrossRef] [PubMed]
Gremião, I.D.; Miranda, L.H.; Reis, E.G.; Rodrigues, A.M.; Pereira, S.A. Zoonotic epidemic of sporotrichosis:
Cat to human transmission. PLoS Pathog. 2017, 13, e1006077. [CrossRef] [PubMed]
Rodrigues, A.M.; de Hoog, G.S.; de Camargo, Z.P. Sporothrix species causing outbreaks in animals and
humans driven by animal-animal transmission. PLoS Pathog. 2016, 12, e1005638. [CrossRef] [PubMed]
Barros, M.B.L.; Schubach, T.P.; Coll, J.O.; Gremião, I.D.; Wanke, B.; Schubach, A. Esporotricose: A evolução e
os desafios de uma epidemia. Rev. Panam. Salud Publica 2010, 27, 455–460. [PubMed]
Molecules 2019, 24, 2333
15 of 15
5.
6.
7.
8.
9.
Gremião, I.D.; Menezes, R.C.; Schubach, T.M.; Figueiredo, A.B.; Cavalcanti, M.C.; Pereira, S.A. Feline
sporotrichosis: Epidemiological and clinical aspects. Med. Mycol. 2015, 53, 15–21. [CrossRef] [PubMed]
Bustamante, B.; Campos, P.E. Sporotrichosis: A forgotten disease in the drug research. Expert Rev. Anti-Infect.
Ther. 2004, 2, 85–94. [CrossRef] [PubMed]
Kadavakollu, S.; Stailey, C.; Kunapareddy, C.S.; White, S. Clotrimazole as a cancer drug: A short review.
Med. Chem. 2014, 4, 722–724. [CrossRef]
Gagini, T.; Borba-Santos, L.P.; Rodrigues, A.M.; Camargo, Z.P.; Rozental, S. Clotrimazole is highly effective
in vitro against feline Sporothrix brasiliensis isolates. J. Med. Microbiol. 2011, 66, 1573–1580. [CrossRef]
Pai, V.; Ganavalli, A.; Kikkeri, N.N. Antifungal resistance in dermatology. Indian J. Dermatol. 2018, 63,
361–368. [CrossRef]
10. Carvalho, A.L.M.; da Silva, J.A.; Lira, A.A.M.; Conceição, T.M.F.; Nunes, R.S.;
Junior, R.L.C.A.;
Sarmento, V.H.V.; Leal, L.B.; Santana, D.P. Evaluation of microemulsion and lamellar liquid crystalline
systems for transdermal zidovudine delivery. J. Pharm. Sci. 2016, 105, 1–6. [CrossRef]
11. Padula, C.; Telò, I.; Ianni, A.D.; Pescina, S.; Nicoli, S.; Santi, P. Microemulsion containing triamcinolone
acetonide for buccal administration. Eur. J. Pharm. Sci. 2018, 115, 233–239. [CrossRef]
12. Rashida, M.A.; Naza, T.; Abbasa, M.; Nazirb, S.; Younasa, N.; Majeeda, S.; Qureshic, N.; Akhtard, M.N.
Chloramphenicol loaded microemulsions: Development, characterization and stability. Colloid Interface Sci.
Commun. 2019, 28, 41–48. [CrossRef]
Seok, S.H.; Lee, S.-A.; Park, E.-S. Formulation of a microemulsion-based hydrogel containing celecoxib. J.
Drug Deliv. Sci. Technol. 2018, 43, 409–414. [CrossRef]
13.
14. Kumar, S.K.; Dhancinamoorthi, D.; Sarvanan, R.; Gopal, U.K.; Shanmugam, V. Microemulsions as a carrier
for novel drug delivery: A review. Int. J. Pharm. Sci. Rev. Res. 2011, 10, 37–45.
15. Hu, X.-B.; Kang, R.-R.; Tang, T.-T.; Li, Y.-J.; Wu, J.-Y.; Wang, J.-M.; Liu, X.-Y.; Xiang, D.-X. Topical delivery of
-trimethoxy-trans-stilbene-loaded microemulsion-based hydrogel for the treatment of osteoarthritis in
3,5,4
a rabbit model. Drug Deliv. Transl. Res. 2019, 9, 357–365. [CrossRef]
(cid:48)
16. Hájková, R.; Sklenárová, H.; Matysová, L.; Svecová, P.; Solich, P. Development and validation of HPLC
method for determination of clotrimazole and its two degradation products in spray formulation. Talanta
2007, 73, 483–489. [CrossRef]
17. Abdel-Moety, E.M.; Khattab, F.I.; Kelani, K.M.; AbouAl-Alamein, A.M. Chromatographic determination
of clotrimazole, ketoconazole and fluconazole in pharmaceutical formulations. Farmaco 2002, 57, 931–938.
[CrossRef]
18. Bharate, S.S.; Bharate, S.B.; Bajaj, A.N. Interactions and incompatibilities of pharmaceutical excipientes with
active pharmaceutical ingredients: A comprehensive review. J. Excipients and Food Chem. 2010, 1, 3–26.
[CrossRef]
19. Ceschel, G.C.; Badiello, R.; Ronchi, C.; Maffei, P. Degradation of components in drug formulations: A
comparison between HPLC and DSC methods. J. Pharm. Biomed. Anal. 2003, 32, 1067–1072. [CrossRef]
20. Deshmukha, P.R.; Gaikwadb, V.L.; Tamanea, P.K.; Mahadikc, K.R.; Purohit, R.N. Development of
stability-indicating HPLC method and accelerated stability studies for osmotic and pulsatile tablet
formulations of Clopidogrel Bisulfate. J. Pharm. Biomed. Anal. 2019, 165, 346–356. [CrossRef]
21. Lee, T.-K.; Ryoo, S.-J.; Lee, Y.-S. A new method for the preparation of 2-chlorotrityl resin and its application
to solid-phase peptide synthesis. Tetrahedron Lett. 2007, 48, 389–391. [CrossRef]
22. Nandi, I.; Bari, M.; Joshi, H. Study of isopropyl myristate micremulsion systems containing cyclodextrins to
improve the solubility of two model hydrophobic drugs. AAPS PharmaSciTech. 2003, 4, 1–9. [CrossRef]
Sample Availability: Samples of the compounds are available from the authors.
© 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access
article distributed under the terms and conditions of the Creative Commons Attribution
(CC BY) license (http://creativecommons.org/licenses/by/4.0/).
| null |
10.1093_ijrl_eeac041.pdf
| null | null |
Utterly unbelievable: the discourse of ‘fake’ SOGI asylum claims as a form of
Utterly unbelievable: the discourse of ‘fake’ SOGI asylum claims as a form of
epistemic injustice
epistemic injustice
Nuno Ferreira
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Citation for this work (American Psychological Association 7th edition)
Citation for this work (American Psychological Association 7th edition)
Ferreira, N. (2023). Utterly unbelievable: the discourse of ‘fake’ SOGI asylum claims as a form of epistemic
injustice (Version 1). University of Sussex. https://hdl.handle.net/10779/uos.23484497.v1
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International Journal of Refugee Law
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International Journal of Refugee Law, 2022, Vol XX, No XX, 1–30
https://doi.org/10.1093/ijrl/eeac041
A RT I C L E S
Utterly Unbelievable: The Discourse of
‘Fake’ SOGI Asylum Claims as a Form of
Epistemic Injustice
Nuno Ferreira*
A B ST R A CT
Media and political debates on refugees and migration are dominated by a discourse
of ‘fake’ and ‘bogus’ asylum claims. This article explores how this discourse affects
in acute ways those people claiming asylum on grounds of sexual orientation or
gender identity (SOGI). In particular, the article shows how such a discourse of
‘fakeness’ goes far beyond the well-documented and often inadequate credibility
assessments carried out by asylum authorities. By framing the analysis within the
context of the scholarship on epistemic injustice, and by drawing on a large body of
primary and secondary data, this article reveals how the discourse of ‘fake’ SOGI
claims permeates the conduct not only of asylum adjudicators, but also of all other
actors in the asylum system, including non-governmental organizations, support
groups, legal representatives, and even asylum claimants and refugees themselves.
Following from this theoretically informed exploration of primary data, the article
concludes with the impossibility of determining the ‘truth’ in SOGI asylum cases,
while also offering some guidance on means that can be employed to alleviate the
epistemic injustice produced by the asylum system against SOGI asylum claimants
and refugees.
*
Professor of Law, University of Sussex, United Kingdom. This contribution has been produced
in the context of the ‘Sexual Orientation and Gender Identity Claims of Asylum: A European
Human Rights Challenge’ (SOGICA Project) (<https://www.sogica.org>). The Project received
funding from the European Research Council (ERC) under the European Union’s Horizon 2020
research and innovation programme (Grant Agreement No 677693). The author wishes to thank
Carmelo Danisi, Moira Dustin, Nina Held, Charlotte Skeet, Bal Sokhi-Bulley, and Christina
Miliou Theocharaki, as well as the anonymous journal reviewers, for their constructive feedback
on earlier drafts.
© The Author(s) 2023. Published by Oxford University Press.
This is an Open Access article distributed under the terms of the Creative Commons Attribution
License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse,
distribution, and reproduction in any medium, provided the original work is properly cited.
• 1
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Page 2 of 30
• The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
1. I N T RO D U C T I O N
According to the United Nations High Commissioner for Refugees (UNHCR), at the end
of 2021, there were 31.7 million refugees and people seeking asylum in the world.1 These
individuals face numerous social and legal obstacles to obtaining international protection,
including having to demonstrate the credibility of their asylum claim during the adjudica-
tion process. It is the nature of refugee status determination procedures that claimants must
establish their entitlement to international protection, and that authorities must scrutinize
the evidence available. The credibility of asylum claims may be called into question either
because different elements of the testimony are not consistent with each other (internal
credibility), or the testimony is not consistent with information gathered by the asylum
authorities (external credibility).2 While the need for such credibility assessment is not in
itself problematic, even before the legal adjudication process starts, claimants are often al-
ready labelled as ‘bogus’, their claims are presumed to be ‘fake’, and asylum authorities and
the broader public alike adopt a sceptical – even a cynical – mindset.3 People are perceived
as ‘potential fraudsters’ as soon as they file their asylum claims and, by assuming that their
claims are ‘false’, States maintain control over their borders (for example, to reduce levels of
immigration and feed into xenophobic and populist political discourses) without having to
question the system of international protection or a State’s democratic credentials within
the international community.4 Some researchers argue that decision makers in countries
such as Spain, the United States of America (USA), and the United Kingdom (UK) seem
to be trained to disbelieve5 and carry out their functions according to an ‘unwritten (meta)
message of mistrust’.6 Existing scholarship has thus identified strong elements of willing-
ness and consciousness in discrediting asylum claims independently of their merits.7
Discussions about ‘fake’ asylum claims are fuelled by, and contribute towards,
broader anti-refugee and anti-migration rhetoric in the media and political debates.8
1 UNHCR, ‘Figures at a Glance’ <https://www.unhcr.org/en-au/figures-at-a-glance.html> ac-
cessed 12 September 2022.
2 Gábor Gyulai and others, Credibility Assessment in Asylum Procedures: A Multidisciplinary Training
3
4
5
Manual, vol 1 (Hungarian Helsinki Committee 2013) 31.
Jessica Anderson and others, ‘The Culture of Disbelief: An Ethnographic Approach to Understanding
an Under-Theorised Concept in the UK Asylum System’ (2014) Refugee Studies Centre Working
Paper Series No 102; James Souter, ‘A Culture of Disbelief or Denial? Critiquing Refugee Status
Determination in the United Kingdom’ (2011) 1 Oxford Monitor of Forced Migration 48.
Cécile Rousseau and Patricia Foxen, ‘Le Mythe du Réfugie Menteur: Un Mensonge Indispensable?’
[The Myth of the Lying Refugee: An Essential Lie?] (2006) 71 L’Evolution Psychiatrique 505, 506–07.
Carol Bohmer and Amy Shuman, ‘Producing Epistemologies of Ignorance in the Political
Asylum Application Process’ (2007) 14 Identities 603, 615.
6 Olga Jubany, ‘Constructing Truths in a Culture of Disbelief: Understanding Asylum Screening
from Within’ (2011) 26 International Sociology 74, 81.
Rousseau and Foxen (n 4) 510.
7
8 Gillian McFadyen, ‘The Language of Labelling and the Politics of Hospitality in the British Asylum
System’ (2016) 18 British Journal of Politics and International Relations 599, 611–12; Giuseppe
Salvaggiulo, ‘La Sentenza della Cassazione: “I Racconti dei Richiedenti Asilo sono Stereotipati e
Troppo Simili Tra Loro”’ [The Supreme Court’s Decision: The Testimonies of Asylum
Claimants Are Stereotyped and Too Similar to Each Other] La Stampa (16 January 2020)
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The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
• Page 3 of 30
It is also clear that the ‘genuine refugee is discursively constructed in a particular legal,
political, and cultural context’.9 This affects in critical ways those asylum claims based
on sexual orientation or gender identity (SOGI). SOGI claims require a discrete ana-
lysis in this context on account of the particular issues they raise in relation to different
aspects of asylum adjudication, especially the need for claimants to prove their SOGI
identity, the role of private actors in persecution, the intense social prejudice against
SOGI claimants, the role of legislation – namely criminalization – in the country of
origin in sanctioning that prejudice, and the particular psychosocial challenges that
these claimants face in terms of personal identity and community integration in the
host State.10
SOGI claimants are often accused of ‘fabricating’ their stories,11 including in media
pieces that build on the assumption that pretending a certain sexual orientation or
gender identity is easy for the claimant and a sure-fire way of obtaining international
protection.12 This is especially the case where there is evidence of persecution against
sexual and gender minorities in particular countries of origin. However, there is no
guarantee of ‘automatic protection’ under such circumstances. Claimants must still
go through the refugee status determination procedure, and authorities often place
particular emphasis on the credibility assessment of SOGI claims. Such an assessment
may depend mostly on the claimant’s own testimony – checked against the available
country of origin information (COI) – owing to the limited documentary or witness
evidence generally available in such cases. Furthermore, the ‘genuineness of a LGBT
refugee is prone to constant negotiation and renegotiation dependent on ongoing
developments occurring within the wider cultural politics of immigration and global
sexual politics’.13
As already explored by several authors, this cynical mindset in relation to SOGI
claimants creates a damaging ‘culture of disbelief ’ in asylum authorities in several
<https://www.lastampa.it/cronaca/2020/01/16/news/sentenza-choc-della-cassazione-i-
racconti-dei-richiedenti-asilo-sono-stereotipati-e-troppo-simili-tra-loro-1.38339774/>
accessed
12 September 2022; Mehta Suketu, ‘The Asylum Seeker’ (The New Yorker, 25 July 2011) <https://
www.newyorker.com/magazine/2011/08/01/the-asylum-seeker> accessed 12 September 2022.
9 Deniz Akin, ‘Discursive Construction of Genuine LGBT Refugees’ (2018) 23 Lambda Nordica
21, 23.
10 Nuno Ferreira, ‘Sexuality and Citizenship in Europe: Sociolegal and Human Rights Perspectives’
(2018) 27 Social and Legal Studies 253, 254.
11 Rousseau and Foxen (n 4).
12 Dan Bilefsky, ‘Gays Seeking Asylum in US Encounter a New Hurdle’ The New York Times
(29
January 2011) <https://www.nytimes.com/2011/01/29/nyregion/29asylum.html>
accessed 12 September 2022; Francesca Ronchin, ‘Permessi di Soggiorno per i Migranti,
L’Escamotage dell’Orientamento Sessuale’ [Residence Permits for Migrants, the Deception of
Sexual Orientation] Corriere della Sera (23 October 2019) <https://www.corriere.it/video-
articoli/2019/10/23/permessi-soggiorno-migranti-l-escamotage-dell-orientamento-sessuale/
ece27a72-e52c-11e9-b924-6943fd13a6fb.shtml> accessed 12 September 2022. Most of the
primary data and secondary sources explored in this article refer more explicitly to sexual
orientation but also hold relevance in relation to gender identity, hence the scope of the article
encompassing both.
13 Akin (n 9) 36.
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Page 4 of 30
• The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
countries.14 In 2001, when deciding a SOGI asylum claim, a UK judge raised the
possibility of ‘encouraging a flood of fraudulent Zimbabwean (and no doubt other)
asylum-seekers posing as sodomites’.15 Although we have come a long way since
then, an ingrained concern persists that SOGI asylum claimants may be lying
about their stories. Although SOGI claims may not be statistically more prone to
being used in a deceptive way,16 and while acknowledging that they may indeed be
used in a deceptive way, SOGI claimants are deeply affected by the scepticism that
accompanies their asylum claims.
Despite this culture of disbelief being well known to scholars, policymakers, and
refugees, there is limited research on what makes SOGI claims – or claimants – so un-
believable as to render them ‘fake’ in the eyes of decision makers, especially in light of
the thorough, objective, individualized, and sensitive process that is required to assess
their claims.17 It is crucial to explore in an in-depth manner the mechanisms behind
such presumptions of ‘fakeness’. This article does so through a novel, theoretically and
empirically informed analysis that examines all actors in the asylum system. The analysis
reveals that the discourse of ‘fake’ SOGI claims not only strongly influences asylum au-
thorities (often under political pressure to refuse claims, or hardened by listening to so
many terrible stories) and the wider public (influenced by populist, racist, and homo/
transphobic social trends), but also affects the most unlikely stakeholders: on the one
hand, non-governmental organizations (NGOs), support groups, and legal representa-
tives take it upon themselves to filter out ‘fake’ claims from the asylum system, and, on
the other hand, other SOGI claimants and refugees consider it necessary to themselves
identify ‘fake’ claimants in order to contribute to the groups that support them and to
protect the chances of future ‘genuine’ SOGI asylum claimants obtaining international
protection.
This article offers a theoretically informed analysis of these dynamics by engaging
with this subject matter from the perspective of the body of literature on epistemic in-
justice. The analysis is also empirically informed, drawing extensively on primary data
collected through fieldwork carried out in several locations in Europe between 2017
14 Carmelo Danisi and others, Queering Asylum in Europe: Legal and Social Experiences of Seeking
International Protection on Grounds of Sexual Orientation and Gender Identity (Springer
2021) ch 7; Agathe Fauchier, ‘Kosovo: What Does the Future Hold for LGBT People?’ (2013)
42 Forced Migration Review 36, 38; Theo Gavrielides and others, ‘Supporting and Including
LGBTI Migrants: Needs, Experiences and Good Practices (Epsilon Project)’ (IARS International
Institute 2017); Jenni Millbank, ‘From Discretion to Disbelief: Recent Trends in Refugee
Determinations on the Basis of Sexual Orientation in Australia and the United Kingdom’ (2009)
13 International Journal of Human Rights 391.
15 Z v Secretary of State for the Home Department [2001] UKIAT 01TH02634, para 4.
16
John Vine, ‘An Investigation into the Home Office’s Handling of Asylum Claims Made on the
Grounds of Sexual Orientation: March–June 2014’ (Independent Chief Inspector of Borders
and Immigration 2014) para 5.21.
17 UNHCR, ‘Guidelines on International Protection No 9: Claims to Refugee Status Based on
Sexual Orientation and/or Gender Identity within the Context of Article 1A(2) of the 1951
Convention and/or Its 1967 Protocol relating to the Status of Refugees’, HCR/GIP/12/09
(23 October 2012) para 62.
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The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
• Page 5 of 30
and 2019.18 This fieldwork – carried out in the context of the ‘Sexual Orientation and
Gender Identity Claims of Asylum’ (SOGICA Project) – concentrated on Council of
Europe and European Union (EU) institutions, and the countries of Germany, Italy, and
the UK. It included: 143 semi-structured interviews with SOGI asylum claimants and
refugees, NGOs, policymakers, decision makers, members of the judiciary, legal repre-
sentatives, and other professionals; 16 focus groups with SOGI asylum claimants and
refugees; 24 non-participant contextual observations of court hearings; two online sur-
veys of SOGI asylum claimants and refugees and professionals working with them; and
freedom of information requests relating to case studies lodged in all three countries.
In order to ensure anonymity, respect participants’ agency, and distinguish between the
sources, the article uses sources in the following ways: individuals are referred to either
by their first name or by a pseudonym (according to their stated preference); references
note the capacity in which participants were interviewed and the country in which they
were based (if no capacity is specified, then the participant was an asylum claimant or
a legally recognized refugee); focus groups are identified by their number and location;
court hearings are identified by the level of the court, its broad geographical location,
and the year in which the hearing took place; and survey respondents are referred to by
a letter (S for ‘supporter’ and C for ‘claimant’) and a numerical identifier.19
The article begins with a discussion of the theoretical framework on which the sub-
sequent analysis relies, with an emphasis on the relevance of the scholarship on epi-
stemic injustice for asylum law and policy (part 2). In part 3, the analysis of the primary
data begins by exploring how epistemic injustice operates during the asylum adjudica-
tion process, and how epistemic injustice is produced by asylum decision makers. In
part 4, the focus shifts to the roles of NGOs, support groups, and legal representatives,
as well as asylum claimants and refugees themselves, who are often ignored in such de-
bates but are undoubtedly also key actors in the discourse of ‘fake’ claims, as evidenced
by the primary data. Part 5 explores key means to address the epistemic injustice pro-
duced by the actors discussed in parts 3 and 4, even though achieving the ‘truth’ is
ultimately impossible. Finally, part 6 reiterates the need to accept the impossibility of
determining the ‘truth’ in SOGI asylum claims and to alleviate the epistemic injustice
of the asylum system for SOGI claimants.
‘Fake’ and ‘truth’ are used with quotation marks throughout the article to high-
light the impossibility of determining the veracity of claims. Even when a claimant
may acknowledge not having a genuine SOGI claim, their sexual orientation or
gender identity may, in fact, be relevant to their need for international protection,
although the claimant may choose to deny this, owing to emotional, social, or cul-
tural factors.
18 Ethics approval was obtained from the University of Sussex (certificate of approval for Ethical
Review ER/NH285/1). Written and informed consent was obtained from all the participants.
The project – including the collection of empirical data – was carried out by all the team mem-
bers: Carmelo Danisi, Moira Dustin, Nuno Ferreira, and Nina Held.
For full details of the methodology, see Danisi and others (n 14) ch 2; SOGICA, ‘Fieldwork’
<https://www.sogica.org/en/fieldwork/> accessed 12 September 2022.
19
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Page 6 of 30
• The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
2. C R E AT I N G E P I ST E M I C I N J U ST I C E I N T H E Q U E ST F O R ‘ T R U T H ’
As Foucault’s work so thoroughly explores, the quest for producing ‘truth’ has been
central to the production of knowledge in the West – including in relation to sexuality –
and is deeply embedded in subjective relationships of power.20 More specifically:
Truth is a thing of this world: it is produced only by virtue of multiple forms of
constraint. And it induces regular effects of power. Each society has its regime of
truth, its ‘general politics’ of truth: that is, the types of discourse which it accepts
and makes function as true; the mechanisms and instances which enable one to
distinguish true and false statements, the means by which each is sanctioned; the
techniques and procedures accorded value in the acquisition of truth; the status
of those who are charged with saying what counts as true.21
Similarly, Bourdieu suggests that constructing a discourse as ‘true’ or ‘false’ essentially
depends on the power dynamics that underpin social and institutional relationships.22
As explained by Spivak, there are a range of historical and ideological factors that pre-
vent those inhabiting the ‘periphery’ – surely including asylum claimants and refugees
– from being heard.23 All these scholarly contributions point to the fact that interper-
sonal and institutional ‘power’ is a factor that shapes how we produce ‘truths’ and ‘lies’.
Moreover, ‘truths’ and ‘lies’ are not produced according to what is ‘true’ or ‘false’ (if it
were ever possible to determine this), but according to what is convenient, to order
events around conformity and deviance.24 Consequently, epistemic injustice – under-
stood here as injustice in the context of the production of knowledge – is rife in any
system of ‘truth production’. In other words, no matter how a society produces know-
ledge, there is bound to be unfairness as to who decides what is true or not, and how
this is done. In the context of asylum law and policy, this includes two main forms of
injustice: testimonial injustice and contributory injustice.
On the one hand, testimonial injustice occurs when ‘prejudice causes a hearer to
give a deflated level of credibility to a speaker’s word’,25 with such prejudice operating
in relation to all different spheres of life that may affect a person’s social identity in the
mind of the hearer. This entails a symbolic degradation, namely the listener undermines
the other’s humanity,26 and oppresses the other by diminishing their self-confidence
and thwarting their development.27 On the other hand, building on Pohlhaus’s work on
20 Michel Foucault, The History of Sexuality, vol 1 (Penguin Books 1990).
21 Michel Foucault, The Foucault Reader (Penguin Books 1991) 72–73.
22
Pierre Bourdieu, Language and Symbolic Power (Polity Press 1993).
23 Rosalind Morris (ed), Can the Subaltern Speak? Reflections on the History of an Idea (Columbia
University Press 2010); Gayatri Chakravorty Spivak, ‘Can the Subaltern Speak?’ in Cary Nelson
(ed), Marxism and the Interpretation of Culture (Macmillan Education 1988).
24 Michel de Certeau, Histoire et Psychanalyse Entre Science et Fiction (Gallimard 1987).
25 Miranda Fricker, Epistemic Injustice: Power and the Ethics of Knowing (Oxford University Press
2007) 1.
ibid 44.
ibid 58.
26
27
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The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
• Page 7 of 30
‘willful hermeneutical ignorance’,28 Dotson sees contributory injustice ‘as the circum-
stance where an epistemic agent’s willful hermeneutical ignorance in maintaining and
utilizing structurally prejudiced hermeneutical resources thwarts a knower’s ability to
contribute to shared epistemic resources within a given epistemic community by com-
promising her epistemic agency’.29
Nonetheless, epistemic injustice (also) derives from the fact that ‘institutions struc-
ture interactions according to cultural norms that impede parity of participation’.30 As
Doan explains, this prevents ‘people from testifying and being heard, asking relevant
questions, contesting claims and standards of evidence, and otherwise participating
in everyday epistemic practices as peers’31 – something that is directly relevant to the
asylum system. Consequently, Doan submits that ‘epistemic injustice ought to be under-
stood as rooted in the oppressive and dysfunctional epistemic norms undergirding ac-
tual communities and institutions’.32 As such, struggles for epistemic recognition require
changes not only at the individual level but also at the social and institutional levels. The
responsibility and the initiative for undoing epistemic injustice rest not only with single
individuals but with all actors in the system, without ‘occluding the agency and resistance
of victims’.33 This is of direct relevance for present purposes, since all actors in the asylum
system contribute to epistemic injustice which, in turn, affects SOGI asylum claimants
and refugees. In fact, a transformative strategy that is able to ‘correct unjust outcomes
precisely by restructuring the underlying generative framework’ may be required.34
Asylum systems are textbook examples of how the State can devise and operation-
alize repressive and flawed epistemic norms. States deploy political technologies to
govern the movement and conduct of refugees, namely by determining which ones
are ‘bogus refugees’ and which ones are ‘persons in real need of protection’.35 Looking
at asylum systems through a Foucauldian and Fanonian lens, Lorenzini and Tazzioli
adopt poststructural and decolonial prisms to highlight how:
the question of (the production of) truth is at the core of the mechanisms of sub-
jection and subjectivation which are at stake in the processing of asylum claims.
Asylum seekers are usually seen as suspect subjects who have to demonstrate that
28 Gaile Pohlhaus, ‘Relational Knowing and Epistemic Injustice: Toward a Theory of Willful
Hermeneutical Ignorance’ (2012) 27 Hypatia 715.
29 Kristie Dotson, ‘A Cautionary Tale: On Limiting Epistemic Oppression’ (2012) 33 Frontiers:
A Journal of Women Studies 24, 32.
30 Nancy Fraser, ‘Social Justice in the Age of Identity Politics: Redistribution, Recognition, and
Participation’ in Nancy Fraser and Axel Honneth (eds), Redistribution or Recognition? A Political-
Philosophical Exchange (Verso Books 2003) 29.
31 Michael Doan, ‘Resisting Structural Epistemic Injustice’ (2018) 4(4) Feminist Philosophy
Quarterly 13.
ibid 15.
ibid 8 (emphasis in original).
Fraser (n 30) 74.
32
33
34
35 Daniele Lorenzini and Martina Tazzioli, ‘Confessional Subjects and Conducts of Non-Truth:
Foucault, Fanon, and the Making of the Subject’ (2018) 35 Theory, Culture & Society 71, 72.
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Page 8 of 30
• The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
they really are in need of protection; yet, at the same time, they are considered as
subjects incapable of telling the truth.36
In this process, more than ‘truth’, we are in the presence of the ‘production of ignor-
ance’,37 showing that both ‘truth’ and ‘fakeness’ are discursively constructed.
During the production of knowledge in the asylum system, there is a clear ‘struggle
over truth’.38 By default, asylum systems privilege the epistemic resources of decision
makers over claimants, thus legitimizing the former’s prerogative to ‘arbitrarily and am-
biguously misinterpret asylum applicants’ experiences, cultures, and countries’ – the
so-called ‘institutional comfort’ enjoyed by decision makers.39 In the asylum context,
this institutional comfort translates into testimonial injustice in the form of denying ap-
plicants’ experiences, ignoring available information, and deciding which information
or criteria to use. Simultaneously, the asylum system is characterized by contributory
injustice in the form of knowingly and voluntarily employing prejudiced hermeneut-
ical resources to undermine the epistemic agency of the claimants.40 Testimonial and
contributory injustice combined produce a powerful version of epistemic injustice in
asylum systems.
In the midst of such an epistemologically unfair system, asylum claimants may find
themselves both dehumanized and ignored. Doubting the truth of the claimant is a vio-
lence perpetrated against them, which produces and increases their (narrative) vulner-
ability, and constitutes a form of epistemological and symbolic violence.41 At the same
time, decision makers may see their personal experiences as universal and therefore
suitable to be used as the basis for judging the veracity of claimants’ testimonies.42 As
Jubany concluded from her research in Spain and the UK, based on decision makers’
‘professional knowledge’, Chinese claimants are held to be untrustworthy, African
claimants are perceived as liars, those from the Indian subcontinent are accused of
being incoherent and using artificial stories, and those from Turkey are judged as cun-
ning and exaggerated.43 ‘Intuition’, having a ‘feeling’, ‘just knowing’, or a certain ‘look’
are seen as legitimate means to determine the truthfulness of a claimant’s story and
are used as justification for denying international protection.44 Even worse, the use of
accelerated procedures (often coupled with the contested notion of ‘safe country’)45
36
ibid 72 (citations omitted).
37 Bohmer and Shuman (n 5).
38
Lorenzini and Tazzioli (n 35) 82.
39 Ezgi Sertler, ‘The Institution of Gender-Based Asylum and Epistemic Injustice: A Structural
Limit’ (2018) 4(3) Feminist Philosophy Quarterly 3.
ibid 2, 16.
40
41 Massimo Prearo, ‘The Moral Politics of LGBTI Asylum: How the State Deals with the SOGI
Framework’ (2020) 34 Journal of Refugee Studies 1454.
42 Rousseau and Foxen (n 4) 511.
43
Jubany (n 6) 83–84.
ibid 86–87; Rousseau and Foxen (n 4) 516.
44
45 Danisi and others (n 14) ch 6.7.
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The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
• Page 9 of 30
has rendered claimants’ speech ‘increasingly irrelevant’,46 depriving them of the oppor-
tunity to fully articulate their experiences and fears of persecution.47
Reaching an ‘objective truth’ is not achievable, just as proving that a claim is ‘fake’ is
not possible.48 In other words, ‘the pretense of judgment based on evidence obscures
the real problem of the unavailability of necessary information’.49 Barsky notes that ‘we
cannot employ the tools of discourse analysis, no matter how sophisticated, to distin-
guish between truthful and untruthful statements in refugee hearings, except at a very
superficial level’.50 ‘Fake’ claims are thus discursively produced: it is the discourse cre-
ated by all the actors involved that labels claims as ‘fake’ and forms the subject position
of the ‘fake’ claimant. This is true for SOGI claims as well: it is not possible to reach an
‘objective truth’ about them but, in the face of the ‘practical decisionism’ that asylum
authorities face, ‘the various organizations and persons that claim that it is impossible
to evaluate legitimately the truths of LGBT-ness are unsuccessful’.51 Historically, mem-
bers of SOGI minorities had to hide their true identity and desires – and so society was
full of ‘fake heterosexuals’ – but now, in a sort of inversion of the ‘politics of truth’, the
fear is one of ‘fake homosexuals’.52 In this tangled web of the ‘politics of truth’, decision
makers and other actors may overlook the fact that both sexual orientation and gender
identity are socially constructed, culturally heterogeneous, fluid, complex, performed,
and negotiated categories.53 A greater awareness of the nature of sexual orientation and
gender identity would facilitate asylum decisions that more sensitively and accurately
engage with SOGI claims, in ways that are also more socially and culturally appropriate.
In a Foucauldian sense, the ‘fake’ SOGI claim and ‘fake’ SOGI claimant’s subject
position are (also) discursively produced, thus constituting a sub-category of ‘fake’
claims. As a consequence, ‘only those whose sexual and gender practices are intelligible
according to hegemonic gender and sexuality norms can become eligible for permitted
border-crossing’, thus further entrenching the fixed, homonormative sexual ontologies
46
Lorenzini and Tazzioli (n 35) 82.
47 An infamous version of this phenomenon can be seen in the UK’s Detained Fast Track system
for detained individuals, whereby people were deported without being given the opportunity to
appeal against negative Home Office decisions. The system was declared unlawful by the High
Court in Detention Action v First-tier Tribunal (Immigration and Asylum Chamber) [2015] EWHC
1689 (Admin). The negative practical consequences of such systems are illustrated in the case of
PN, a Ugandan lesbian claimant: see PN (Uganda) v Secretary of State for the Home Department
[2020] EWCA Civ 1213.
48 Rousseau and Foxen (n 4) 518.
49 Bohmer and Shuman (n 5) 622.
50 Robert F Barsky, Arguing and Justifying: Assessing the Convention Refugees’ Choice of Moment,
Motive and Host Country (Ashgate Publishing 2000) 14.
51 Maja Hertoghs and Willem Schinkel, ‘The State’s Sexual Desires: The Performance of Sexuality
in the Dutch Asylum Procedure’ (2018) 47 Theory and Society 691, 697.
52 Eric Fassin and Manuela Cordero Salcedo, ‘Becoming Gay? Immigration Policies and the Truth
of Sexual Identity’ (2015) 44 Archives of Sexual Behavior 1117, 1121.
ibid 1121–24.
53
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Page 10 of 30
• The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
that underlie the asylum system.54 The asylum system adopts a ‘privileged configur-
ation of sexual orientation [that] reflects a particular historical configuration of gen-
dered, raced and classed interests and experiences’.55 Moreover, while not every denial
of international protection to a SOGI claimant is an instance of epistemic injustice, the
asylum adjudication process becomes a ‘test of sexual veracity by means of a truthful
performance’, on the basis of the ‘facticity of sexuality’, thereby legitimizing and sanc-
tioning certain gender and sexuality performances but not others.56 The following parts
of the article explore how all actors in the asylum system play a role in the ‘politics of
truth’ of SOGI claims.
3. T H E ‘ U N T R U T H ’ O F T H E A S Y LU M A D J U D I C AT I O N P RO C E D U R E
The evidence examined for this article revealed that at both an administrative and ju-
dicial level, there is significant institutional comfort relating to SOGI-based asylum
claims (see part 2). Decision makers may not only be sceptical about such claims, but
may deny that there is any ‘truth’ to them. Through their disbelief, decision makers exer-
cise their power to produce testimonial injustice and reduce the humanity of claimants.
As Victor – a SOGI asylum claimant participant in the UK – put it, decision makers:
wouldn’t want to listen to you. … If you try to explain something [to] the person,
it is like you are offending them for you being there to, you know, to understand
for them, you are already offending them [and] everything you are saying is not
true.57
Decision makers’ role in the production of epistemic injustice is also apparent in their
inclination to believe that a SOGI claim is ‘fake’ when there is simply an increase in the
number of such claims.58 For example, Titti, a decision maker in Italy, spoke of ‘huge
peaks’ in SOGI claims, of having heard about 15 such claims in one month in an Italian
region, which prompted her to examine them more carefully. Bilal, a UK Home Office
presenting officer, also expressed scepticism after an increase in SOGI claims: ‘I think
I have had some cynicism … the gay Pakistani cases, because there seemed suddenly to
be a huge raft and they all had very similar narratives’. Similarly, in Germany, an NGO
participant reported that even gay decision makers were ‘extremely suspicious’ about a
rise in SOGI asylum claims, thus leading to an increase in the number of rejections59
and demonstrating decision makers’ power to deny the ‘truth’ of claimants’ testimonies.
54 Mariska Jung, ‘Logics of Citizenship and Violence of Rights: The Queer Migrant Body and the
Asylum System’ (2015) 3 Birkbeck Law Review 311, 324.
55 David AB Murray, ‘Real Queer: “Authentic” LGBT Refugee Claimants and Homonationalism in
the Canadian Refugee System’ (2014) 56 Anthropologica 21, 22.
56 Hertoghs and Schinkel (n 51) 691, 693.
57
Focus Group No 2, Glasgow, UK.
58 Celeste, social worker, Italy. Several participants described them as ‘fashionable stories’.
59 Thomas, NGO volunteer, Germany.
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The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
• Page 11 of 30
Another recurrent theme in the discourse of ‘fake’ claims is the degree of similarity
between different claimants’ testimonies. Maria Grazia, a decision maker in Italy, be-
came aware of this soon after assuming her role:
I realised how much the SOGI element is exploited. It is not a perception induced
by a particularly backward policy from a certain political field. This element is
really used to get protection … Yes, when I realised that the stories are all similar.
… [T]he first time I made an appeal before a Court, I had an asylum claimant
who had brought me a page from a newspaper in Nigeria where there was a photo
of a man on the ground full of blood and a photo of the applicant, wanted for
homosexuality. And I thought ‘Damn, how will the judge not believe this story?
It is also in the newspaper’. And in the commission they told me ‘Look, these are
photomontages and in reality the story they bring is always this: relationship with
the partner, partner killed because of being homosexual, escape …’ And the grim,
particularly violent element is always added in.
Similarly, a German judge, Oscar, said that:
the more you have listened to asylum claimants from a country, the sooner you
will notice whether this really happens [claimants using fake stories] or if that is
more likely. These are stories that are passed on from asylum claimant to asylum
claimant and which they always try to use here [in court]. So, typical stories.
A similarity between stories can, however, also be due to legal representatives some-
times promoting ‘pre-prepared’ stories to their clients,60 which can lead to more rejec-
tions by the authorities. In any case, it is clear that such similarities prompt decision
makers to use their power to undervalue testimonies and interpret evidence in a way
that undermines it, thus producing testimonial and contributory injustice.
Interestingly, unique stories are also often seen as questionable, as they do not fit the
scenarios familiar to decision makers.61 For example, Sofia and Emma, NGO workers
in Germany, explained that asylum authorities may reject the ‘truth’ of a claimant’s tes-
timony simply because it is different from other asylum claims:
one [woman] who has experienced forced prostitution in China, so from Uganda
to China, then she had different [experiences], then fled to other African coun-
tries, where she was raped, and then [fled] again to Germany, where she has been
almost forcibly prostituted. And … she is also lesbian, and with her partner, so
to speak, and different things … escaped, and so, for the Federal Office, this is so
blatant that it cannot be credible.
The perfect fit of testimonies with publicly known events or common perceptions of
SOGI minorities is also a reason for decision makers to label a story as ‘fake’ and deny
60 This has been observed in the Canadian context, for instance. See Rousseau and Foxen (n 4) 513.
61
ibid.
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Page 12 of 30
• The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
the claimant’s epistemic agency. Italian decision maker Roberto explained how, at a
training session,
[w]e projected images of public facts, of things of this type [described in a case
study] that happened in Nigeria, to show these things may happen … the classic
fake claim is produced like this, put together subsequently. That is, people know
that these things happen in their country, they tell you with extreme precision
what they read in a newspaper or they heard in their communities, but there is
no … ‘And have you had problems with your family? How did you live it?’, ‘Well’,
‘Are you in touch with your father or your mother?’, ‘Yes’, ‘And what do they tell
you?’, ‘Nothing’ … Everything is missing. The experience is an individual experi-
ence, unique, not repeatable but cannot be devoid of any form of perception.
In the UK, there are also concerns that SOGI claims may be ‘fake’ when claimants cor-
respond ‘too neatly’ to SOGI stereotypes:
I think it is possibly the case that the people who see an advantage in making
a claim based on [sexual] orientation will not really understand what [sexual]
orientation is about, and will … go in for a stereotypical presentation. Doesn’t
mean to say that what could be perceived as stereotypical may not actually be
someone’s choice, they may wish to advertise themselves in some way, but that
is one type of thing, I think, which would tend to indicate … a claim that didn’t
have any sort of substance to it.62
It is a clear illustration of the discursive production of sexual orientation and gender
identity that claimants are expected to fit Western stereotypes of what being an ‘out and
proud’ LGBTIQ+ person means.63 At the same time, however, they must not fit those
stereotypes too neatly or they will be accused of ‘faking’ their stories.64
Claimants from certain countries of origin seem to be regarded with particular scep-
ticism by decision makers, who may use their institutional comfort to deny the ‘truth’
of those claimants’ testimonies. For example, Barbara, a lawyer in Germany, asserted
that decision makers have basic prejudices against some countries of origin and as-
sume that claims from those countries are always fabricated. These countries include
Cameroon, Eritrea, Ethiopia, Nigeria, and The Gambia.65 As Daniele, a decision maker
in Italy, explained:
I believe so, that there is an X number of [fake] claims, more or less significant
depending on the country [of origin], because there are countries – and this
is known informally – or nationalities in relation to which the simple fact of
62 Adrian, judge, UK.
63 The acronym LGBTIQ+ stands for lesbian, gay, bisexual, trans, intersex, queer, and others.
64 Danisi and others (n 14) ch 7.5.
65 Barbara, lawyer, Germany; Chiara, NGO worker, Italy; Celeste and Susanna, social workers,
Italy; Damiano, lawyer, Italy; Diego, Giulia, Giulio, Jonathan, and Riccardo, LGBTIQ+ group
volunteers, Italy; Emilia, judge, Germany; Nelo, Italy; Roberto, decision maker, Italy.
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The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
• Page 13 of 30
presenting this [SOGI] claim could be a disgrace, so it is very difficult for one
to do it falsely. That is, it is very difficult for a Malian to present a claim based on
sexual orientation falsely, if he is not homosexual. Because in this environment,
from a cultural point of view, the origin, etc, it’s really a heavy thing. Instead, there
are [countries of] origin for which the problem is minor. For Nigerians, for ex-
ample, this type of claim is made with greater ease, even motivating one’s sexual
orientation in a somewhat extravagant way … in sum, I must tell you the truth.
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Daniele acknowledged that asylum claimants from some African countries are unlikely
to ‘fake’ a SOGI claim, as there is enormous stigma associated with being a member of
a SOGI minority, potentially even leading to exclusion from the diaspora community.
Yet, the discourse of ‘fake’ claims persists in relation to some countries. Italian decision
maker Roberto shared his scepticism about Nigerian claimants claiming to be gay:
since I’m here, I have only heard a Turkish national claiming asylum for being
transgender … a Somali national for being homosexual, no one from Eritrea.
It’s clear that the great weight [in SOGI asylum] of some nationalities [like
Nigerians] makes you be more doubtful.
Similarly, Filippo, a senior judge in Italy, commented that some colleagues do not wish
to listen to asylum claimants because they sell each other ‘absurd stories’, especially
when they arrive from particular countries, such as Nigeria. This inclination to sus-
pect the ‘fakeness’ of SOGI claims relating to certain countries of origin can worsen
when decision makers are mainly, or only, allocated claims from certain geographical
areas,66 and has a clear gendered dimension, as illustrated by this example relating to
Nigerian women:
If you come from Nigeria or come from Benin City, you are 100 per cent a victim
of trafficking. So whatever you say about why you ran away, the commission will
use the lens of trafficking. And therefore it [the claim] is considered untrue, be-
cause you are a victim of trafficking.67
Julian, a SOGI asylum claimant in Germany, also spoke about the bias German de-
cision makers frequently show towards female claimants from Uganda: ‘My interviewer
was really biased. I entered and he said “Oh, you’re from Uganda, I guess you’re now
going to tell me that lesbian story”. Before I could even start’. Such outright denial of
claimants’ truthfulness on the basis of their country of origin evidences both testimo-
nial and contributory injustice.
Epistemic injustice is increased by the fact that, in practice, the discourse of ‘fake’
claims also seems to raise the standard of proof, as decision makers appear to require
further evidence to ensure the claimant is not fabricating their story.68 Bilal, a UK Home
Office presenting officer, expressed such concern:
66 Rousseau and Foxen (n 4) 517.
67 Celeste, social worker, Italy.
68
Silver, Italy.
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Page 14 of 30
• The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
some people are exploiting the lack of evidence because you don’t need to
produce any, so you can pretend to be, say, a gay man or woman, and be suc-
cessful because you don’t need to produce any evidence. So there is, there is an
avenue for … you know, because of that hole in the system being exploited.
Although asylum claimants (SOGI or otherwise) do need to produce evidence to sup-
port their claims,69 the perception that it is easy to succeed in (unsubstantiated) SOGI
claims seems to be in the mind of this official.
In a more extreme example of testimonial injustice and abuse of institutional com-
fort, a judge during a 2018 court observation in Hesse, Germany, asserted at the begin-
ning of the hearing that he did not believe the claimant, and intimidated a supporting
witness by telling him that he could receive a 12-month prison sentence if he provided
false information. For the judge, the claimant’s story was not credible: ‘This story is so
deceitful, it’s unbelievable! He has five children and tells me that he is gay all the way!
That is unbelievable!’ The assumption that a gay man could not biologically father chil-
dren dominated the judge’s thinking, reflecting a stereotypical view that pervaded the
appeal hearing with a presumption of ‘fakeness’.
The concern that witnesses may contribute to ‘fake’ claims was also highlighted by
judges during the fieldwork, rendering witnesses victims of testimonial injustice as
well. For example, a judge in the UK stated:
One issue we have had is witnesses who’ve given evidence in other cases … this
can mean they are active in their own community but can lead to witnesses for
hire. We had a situation [a couple of years ago] of claimants from Pakistan and
[the] same witnesses came along … Then another issue is social media conver-
sations … usually the other person isn’t called as witness, usually they say they
don’t know where the person is, but this is evidence that I had a relationship with
X. The problem is that falls foul of [the] view that we decide on the basis of oral
evidence and if you can’t cross-examine, how much weight can you put on it?70
The emphasis on oral evidence, despite the availability of other (written) evidence, is
detrimental to SOGI claimants, as many potential supporting witnesses may not wish
to offer oral evidence for fear of ‘coming out’ and being exposed to harm, stigma, or
discrimination. It is a form of contributory injustice that becomes even more worrying
when the skin colour of witnesses influences judges’ assessments of the genuineness of
the claims. As an NGO volunteer in the UK observed: ‘If you take lots of witnesses to
court, if they are white and middle class, they are believed’. Conversely, in a case relating
to two Pakistani claimants, the judge said that a Pakistani couple were not ‘worth much’
as witnesses.71
69
In the UK, for example, claimants are expected to submit evidence to support a sexual orienta-
tion claim, even if just in the form of an oral testimony: UK Home Office, ‘Asylum Interviews’
(Version 7.0, 2019) 31–32.
70 Ernest, judge, UK.
71
Joseph, NGO volunteer, UK.
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The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
• Page 15 of 30
Overall, there are clear signs that judges often believe that SOGI claims are fabri-
cated, rendering the judges key actors in the epistemic injustice that entraps SOGI
asylum claimants: ‘evidence doesn’t seem to persuade some judges at all’.72 Yet, there are
also positive examples of judges who refuse to reproduce prejudices against such claim-
ants or to contribute to the discourse of ‘fake’ claims. For instance, during an appeal
hearing observed in the UK, a judge reassured the appellant that ‘the fact that you’ve
had a son doesn’t mean you’re not a lesbian’.73 Silvana, a judge in Italy, suggested that the
polemics of ‘fake’ claims are exaggerated and stereotypical, fuelled by the media. As she
put it, we should be more concerned about the persecution and discrimination experi-
enced by SOGI minorities around the world:
It is absolutely normal that you go to a country where homosexuality is not a
crime from a country in which it is a crime. Instead, the question that should be
asked is how come so many countries still criminalise homosexuality. If there
were not so many countries criminalising homosexuality, there would be far
fewer requests for protection, I believe.
The experiences shared by participants reflect serious degrees of testimonial and con-
tributory injustice in the refugee status determination process. However, as the next
part of the article shows, decision makers are not the only actors in the asylum system
who determine which SOGI claims are seen as ‘true’ and which are seen as ‘fake’.
4.
‘FA K E’ C L A I M S D I S CO U R S E A M O N G ST C I V I L S O C I ET Y A CTO R S
Civil society actors – understood here as the range of non-governmental actors active
in the field of asylum,74 including NGOs, support groups, and legal representatives,
as well as claimants and refugees themselves – also play a role in the power dynamics
that shape the discursive construction of what is ‘true’ or ‘fake’ in SOGI asylum claims.
While activists ‘contest the sexual and territorial borders’, they also ‘unwillingly con-
tribute to their re-inscription’, thus becoming ‘border performers’ and reinforcing State
formations.75 McGuirk similarly asserts that NGOs, while ‘ostensibly resisting these
constructions, paradoxically create new ones, embedded in wider homonationalist dis-
courses that promote a clear victim/savior binary’, mainly owing to the need to attract
donations and media attention.76 NGOs working in this field thus dedicate much time
and energy to grappling with ‘popular imaginaries’ concerning ‘people pretending to
74
72 Bilal, UK Home Office presenting officer.
73
First-tier Tribunal, London, 2018.
Simone Chambers and Jeffrey Kopstein, ‘Civil Society and the State’ in John S Dryzek, Bonnie
Honig, and Anne Phillips (eds), The Oxford Handbook of Political Theory (Oxford University
Press 2006) 363.
Jung (n 54) 333–34.
Siobhán McGuirk, ‘Neoliberalism and LGBT Asylum: A Play in Five Acts’ in Siobhán McGuirk
and Adrienne Pine (eds), Asylum for Sale: Profit and Protest in the Migration Industry (PM Press
2020) 269. On homonationalism, see Jasbir K Puar, Terrorist Assemblages: Homonationalism in
Queer Times (Duke University Press 2007).
75
76
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Page 16 of 30
• The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
be gay to get asylum’.77 Martorano notes that NGOs in the field of migration face ten-
sions between their humanitarian and ethical values, on the one hand, and the bureau-
cratic demands of institutions, on the other, eventually replicating the asylum system’s
selective policies of assistance for material and moral reasons.78 As this part explores,
non-governmental actors often find themselves trapped in the ‘politics of truth’ of the
asylum system and are pushed to contribute to the harmful discourse of ‘fake’ claims,
even if unwittingly or reluctantly. Some are tolerant of this role; others resist it, refusing
to judge someone else’s ‘truth’.
Some NGOs and support groups tend to adopt a relatively ‘hands-off ’ approach in
relation to determining the veracity of SOGI claims, showing understanding for pos-
sible contradictions and changes of narrative:
sometimes, even knowing that the story was false, we know of people who have
had it [international protection], sorry if … but on the other hand, people about
whom we had no doubts and instead have not [been granted international pro-
tection] … because they contradicted themselves, because when they arrived in
Italy they said something else … because they are stunned by the journey, be-
cause they are afraid, they don’t know what to expect, they don’t know that it
[sexual orientation and gender identity] is a [ground for asylum request].79
Others are more ‘hands on’, identifying claims they perceive to be ‘fake’ and thus using
their relative power to become actors in the discursive production of SOGI and epi-
stemic injustice. In line with scholarly work that has identified this phenomenon in the
Italian context,80 the fieldwork conducted for the present project found this dynamic
operating in support groups:
Let’s say that if they come into contact with us, we filter them out first, so we
try not to pursue cases in which we don’t believe, but I would say that if I esti-
mate the requests for assistance and those we decided to pursue, it’s more or less
fifty-fifty.81
Social workers employed in NGO contexts also shared these concerns:
I think in relation to The Gambia maybe [we have fake claims]. Because there
was an absurd boom in 2014 in requests for reasons of sexual orientation, in the
sense … obviously also connected with the question that there is more infor-
mation. I believe that many [claimants] before didn’t know that they had this
77 McGuirk (n 76) 271.
78 Noemi Martorano, ‘I Gruppi di Supporto Alle e Ai Richiedenti Asilo LGBTI in Italia: Modelli
Organizzativi e Tensioni Associative’ [Support Groups for LGBTI Asylum Claimants in Italy:
Organizational Models and Associative Tensions] in Massimo Prearo and Noemi Martorano
(eds), Migranti LGBT: Pratiche, Politiche Contesti di Accoglienza (Edizioni ETS 2020) 149–51.
79 Anna, LGBTIQ+ group volunteer, Italy.
80 Martorano (n 78) 149–80.
81 Giulia, LGBTIQ+ group volunteer, Italy.
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The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
• Page 17 of 30
possibility, but also because they saw that other compatriots have had [inter-
national protection].82
Without in any way belittling the essential work carried out by so many NGOs working
with migrants and refugees, and while fully understanding NGOs’ need to prioritize
limited resources, this approach translates – even if unconsciously – into a methodo-
logical homonormativity, in line with a tendency by solidarity movements to construct
the ‘ideal subject of solidarity’.83 By doing this, ‘activists respond to and reconstruct the
dominant rhetoric, a rhetoric on the basis of which queer and migrant people are ex-
cluded and their presence [is] made illegitimate’.84 Even though they may wish to resist
the logics of normativity and unleash the power of queer politics, some NGO staff and
volunteers – by acting as ‘preliminary judges’ and refusing assistance to those claimants
whose testimonies are not believed to be ‘true’85 – mimic the culture of disbelief of
decision makers and thus reinforce State-sponsored policies of subjection and assimila-
tion.86 In the process, they deprive claimants of their epistemic agency.
Amongst these civil society actors are legal practitioners, who play a key role in
guiding (or, sometimes, misguiding) claimants through their asylum journey, thereby
co-producing the epistemic injustice that entraps them. Legal practitioners are often
the first to be wary of ‘standard’ and ‘cyclical’ stories when approached by new clients.87
In Germany, for instance, one lawyer stated that:
It’s true that there are … refugees faking [sexual orientation or gender identity].
Probably more women than men, because for men, male homophobia is much
bigger, so, I mean, that is certainly a bigger challenge for men … it happened to
me that I was sent a woman by the lesbian counselling centre and then she came
again a half year later and was pregnant and then told me ‘well, what should I have
said, then?’ … That is surely very aggravating. But it happens – I think the figures
are not that big.88
Similarly, in Italy, Mara, a lawyer working for an LGBTIQ+ NGO, said that:
[W]e do make them follow a process and it is a psychological process, a journey
with the mediator, with the operator, we try to make them participate in some ac-
tivities that can also be language courses, to try to understand if there is a genuine
interest … or whether it is only functional to obtaining the [NGO membership]
82
Susanna, social worker, Italy.
83 Anna Carastathis and Myrto Tsilimpounidi, ‘Methodological Heteronormativity and the
84
“Refugee Crisis”’ (2018) 18 Feminist Media Studies 1120, 1121.
Jung (n 54) 315.
85 Martorano (n 78) 168.
86
Jung (n 54) 316–17. On ‘queer politics’ more generally, see eg Michael Warner (ed), Fear of
a Queer Planet: Queer Politics and Social Theory (University of Minnesota Press 1993); James
Penney, After Queer Theory: The Limits of Sexual Politics (Pluto Press 2015).
87 Bohmer and Shuman (n 5) 614.
88
Janina, lawyer, Germany.
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Page 18 of 30
• The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
card. … Yes, yes [we do a screening]. Some [claimants] already arrive after the
[interview with the] commission, with the rejection and when they have to do
the appeal, then we become even more suspicious … It is obvious that we can
never be completely sure, but, in short, we try to work on it.
In the UK, a volunteer with an LGBTIQ+ support group said that ‘[s]ome solicitors
just don’t believe their LGBTQ clients, some feel very uncomfortable around the issue
of sexuality as reason for protection’.89 It is unclear whether this was on account of
homophobia or for another reason, but such accounts reflect the role legal represen-
tatives play in the discursive production of knowledge about asylum claimants’ sexual
orientation or gender identity and the epistemic injustice that results.
There is a sense that it is possible to ‘know the fake ones from the real ones’,90 des-
pite the fact that determining the objective ‘truth’ about someone’s sexual orientation
or gender identity is impossible, given the socially and culturally constructed nature of
these notions. Both the scholarly literature and asylum policy largely ignore that claim-
ants and refugees are themselves key actors in this ‘politics of truth’. As such, they are
co-opted by the asylum system to perpetuate the epistemic injustice that underpins the
system, and on which the system depends in order to achieve its aims. Some claimants
who volunteer with NGOs and support groups are indeed keen on ‘sifting out’ those
who do not seem to have ‘genuine’ claims:
So when somebody say, is he gay? First of all making intention clear, we send our
missionaries on ground, we monitor the person, we know if he’s really a gay. And
when we are satisfied … then we give him our membership card.91
they [claimants] are the first ones not to want within the group people who are
not really homosexuals, they do not want us to use up our reputation as an asso-
ciation for people who are not homosexuals, because they say ‘then, if we help
everyone, the commission does not believe us anymore and therefore we cannot
help more people’.92
The need to preserve the reputation of NGOs and support groups in order to retain
their capacity to support SOGI claimants thus leads to assessments of the genuineness
of new claimants, sometimes rendering claimants themselves part of the epistemic in-
justice inflicted on one another. An NGO’s reputation cannot be sacrificed by ‘fake’
claims – something observed by Giametta in the French context and Martorano in the
Italian context.93 In particular, fellow nationals of potential SOGI claimants function as
subjective and powerful ‘filters’, acting as unofficial assessors of the ‘truth’ of their claims:
89
Survey respondent S110.
90 Alain, Italy.
91 Kennedy, Italy.
92 Giulia, LGBTIQ+ group volunteer, Italy.
93 Calogero Giametta, ‘New Asylum Protection Categories and Elusive Filtering Devices: The Case
of “Queer Asylum” in France and the UK’ (2020) 46 Journal of Ethnic and Migration Studies
142, 148; Martorano (n 78) 152–53.
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The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
• Page 19 of 30
I can’t tell you that we realise it immediately but only after a few questions, also be-
cause they [our group members] come from those same countries, etc, when a new
one arrives and says ‘I’m from The Gambia, I’m gay’, we have ten from The Gambia
who listen to him and, when they tell their story, they are able to contradict him or
to notice inconsistencies and then we decide fairly quickly which cases to pursue.94
now we have started to support the new guys with guys of the same nationality
who were already with [our group] for many months, so that they are aware of the
social and cultural dynamics of the country in question … and that they know
how the society of the country in question reacts to homosexuals … who then
speaks to us privately and tells us ‘Look, things in Nigeria don’t work that way.
Society would never have reacted this way, so he’s lying’.95
‘Genuine’ SOGI claimants not only take part in this discursive construction of ‘fake’
claims, but also express great frustration about such claimants:
I see a lot of straight men come here and say that they’re gay and they’re not gay
and they got acceptance. And it kind of makes you feel, you know? Some type of
way. Because you’re from Jamaica and you know these men are not gay.96
It is not always clear how some claimants ‘know’ that other claimants are not members
of a SOGI minority. Some members of focus groups in Germany felt particularly upset
by the injustice of ‘fake’ claims and where this left ‘genuine’ claimants:
I had trouble with this Jamaican from the camp, and we know he is not gay be-
cause he told us, and even one time he caught an infliction because I was like
saying to him ‘You say you’re not gay, then why do you come to Germany to seek
refuge as gay? You are just mashing up Germany for people like us who really
want to seek refugee status. You’re not gay, so why are you here?’ … Even a guy
at our camp is not a gay and he got through. And his friend that is truly gay didn’t
get through. He got turned down like us.97
But the straight guys who come here and seek asylum, they just come to make money
and they know after two, three years they can go back home because they have saved
enough money. And the thing that they don’t understand, they come here and they
spoil the opportunity that we as gay people get to come here and seek asylum.98
SOGI asylum claimants thus fear that ‘fake’ claims (or perceptions thereof) will hurt
their chances of obtaining a positive decision, especially as decision makers may be-
come suspicious about the increasing numbers of SOGI claims. This has also been
94 Giulia, LGBTIQ+ group volunteer, Italy.
95 Nicola, LGBTIQ+ group volunteer, Italy.
96 Angel, Germany.
97 Trudy Ann, Germany.
98 Emroy, Focus Group No 1, Hesse, Germany.
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Page 20 of 30
• The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
observed in the context of resettlement work carried out by UNHCR in Turkey, where
SOGI claimants become self-appointed screening officers to determine the ‘inauthen-
ticity’ and ‘un-deservingness’ of fellow claimants.99 While these concerns are under-
standable, it is important to acknowledge that, by adopting such a ‘filtering logic’, civil
society actors find themselves unexpectedly co-opted into carrying out ‘perverse prac-
tices of policing’, border control, and surveillance,100 simultaneously becoming actors in
the epistemic injustice underlying the asylum system.
The knowledge contributed and produced by NGOs, legal representatives, asylum
claimants, and refugees may play an important and legitimate role in building reliable
and up-to-date COI. Yet, such knowledge is not devoid of stereotypes and generaliza-
tions, and it can be used to the detriment of SOGI claimants with genuine claims.
The irony of supporters and refugees undermining the ‘truth’ of other asylum claim-
ants did not escape some of the participants interviewed in this project, whose role in
the system can be described as one of ‘counter-conduct’ and resistance against the epi-
stemic injustice and dehumanization experienced by SOGI claimants. Seth, an NGO
worker in the UK, articulated his frustration at these dynamics in striking terms:
‘“[A]s chief puff I decree that, you know, he is a member of my tribe, so therefore, you
know … you know, grant him asylum”. You know, it is ridiculous. … And who am I to
sit in judgement’. Responses to potentially ‘fake’ claims in host countries should thus be
more sophisticated and socially aware:
there is an exaggerated alarmism in relation to this specific subject, because it is
true that we know … [of] an increase in the number of [SOGI] claims, which is
understandably coherent with an increase in flows and consequently consistent
with the greater awareness that now exists, and of the training that once did not
exist. … The answers that were given to interpret or manage [an increase in ‘fake’
claims] were not of a social nature. They [the answers] have been from a perspec-
tive of demonisation, derision, denunciation, criticism.101
Some NGOs adopt a more constructive approach that avoids the traps of epistemic
injustice, for example by offering support to any claimant who requires assistance, even
if their claims may seem dubious.102 The use of the limited resources can still be ra-
tionalized by imposing some requirements. For example, Joseph, a volunteer with an
LGBTIQ+ group in the UK, referred to requiring a minimum period of interaction
with the NGO before a supporting statement is produced: ‘[Avoiding “fake” claims] is
one of the reasons we said that we wouldn’t, we would not write support letters until
people had been coming [to the group] for six months’. Other participants pointed out
the risk of generalizing from individual experiences, and the difficulty of ‘faking’ claims:
99 Mert Koçak, ‘Who Is “Queerer” and Deserves Resettlement? Queer Asylum Seekers and Their
Deservingness of Refugee Status in Turkey’ (2020) 29 Middle East Critique 29.
100 Giametta (n 93) 147; Martorano (n 78) 172.
101 Vincenzo, LGBTIQ+ group volunteer, Italy.
102 Sara Cesaro, ‘The (Micro-)Politics of Support for LGBT Asylum Seekers in France’ in Richard
CM Mole (ed), Queer Migration and Asylum in Europe (University College London Press
2021) 228–29.
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The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
• Page 21 of 30
I haven’t met anybody here that I don’t believe is gay. Because I also believe that
it is an extreme hurdle for people from this cultural centre to apply for asylum on
this [SOGI] basis anyway, if he is not really gay (if his family is here, that’s even
out of the question). … Well, I think that’s difficult to do, culturally, since people
would have to be good actors.103
I cannot rule that out [‘fake’ claims], but for most people who reveal their sexu-
ality or their sexual identity, I think that, … they do that very authentically …
there are also very many risks that come with it and therefore it is also a particu-
larly vulnerable status that one then has [as a SOGI asylum claimant]. And vol-
untarily exposing oneself to that, I do not know, I find that rather unrealistic.104
It was also clear to some participants that attempts to assert the genuineness of SOGI
claims replicated the injustice of some asylum authorities’ practices and prerogatives,
which NGOs should not emulate:
‘How do I know if the person is really lesbian or gay?’ And that totally upsets
me, because I think, when you grow up as a queer or lesbian person and face so
many prejudices and somehow so much discrimination … Who would volun-
tarily choose this kind of ‘identity’ as an identity? … And I think, these are really
rare cases where people would lie about this. … these are mostly people from the
[decision-making] institutions that ask such questions and possibly … ‘so, they
are not gay, lesbian, trans’ and that … they do not know … do not understand
the complexity of living a queer lifestyle. And yes, the stigma associated with it in
society, in the family, in the psyche of that person … And whether that is a lie or
truth, that’s very … I do not know … absurd.105
While not being able to completely rule out the possibility of claimants fabricating
SOGI claims, these participants found it highly unlikely, considering the socio-cultural
environment that asylum claimants have to navigate. Ashley, a psychotherapist in the
UK, noted that ‘if you haven’t lived with the experience of clandestine sexuality, you
won’t be able to fake or feign the language and methods and devices that you use to get
through it’. Damiano, a lawyer in Italy, also emphasized how much more difficult life in
reception centres could be once it was known that a claimant had a SOGI-based claim.
Moreover, it is important to recognize the desperate circumstances that may lead
someone not to be entirely honest about their claim, as well as to understand the subjectively,
socially, culturally constructed, and fluid nature of sexual orientation and gender identity:
But of course, there are cases of people – and one cannot blame them individu-
ally – who have experienced or have heard that being gay is a good reason to be
recognised [as a refugee] and then try this. It is a way out of the delays in their
individual situation.106
103 Thomas, NGO volunteer, Germany.
104 Louis, LGBTIQ+ group volunteer, Germany.
105 Mariya, NGO worker, Germany (emphasis in original).
106 Thomas, NGO volunteer, Germany.
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Page 22 of 30
• The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
for somebody to come repeatedly month in, month out, to a LGBT support
group and stuff, then if they are not LGBT, then maybe there is questions at the
back of their mind [about their sexual orientation or gender identity] or maybe
there is some, you know … and even if they are not [LGBTIQ+], it is ok.107
Above all, some NGO workers make a conscious choice not to assume the role of a
decision maker or to follow the way the authorities exercise power: ‘We do not want to
play BAMF 2 here’.108 Crucially, and as the scholarship on epistemic injustice highlights,
they demonstrate awareness of the fact that there is no verifiable ‘truth’ in respect of a
person’s sexual orientation or gender identity:
you really can never know that. I’m not [able to], anyway, I could never tell if anyone
is gay, lesbian, trans, bi, intersex, such a declaration can only be made about oneself,
and even that is flexible, yes … that’s why I always take it as it comes.109
my job is not to make that decision [whether someone is telling the ‘truth’ or not]
and I find that if you let your mind go into that, you make that decision about
whether or not somebody is telling the truth, I think that makes you a bad lawyer,
because who am I to make that decision? … I don’t go there. … That is not my job.110
Although such an approach may impose a higher workload on these NGOs, it seems
to be accepted as a way for relevant NGO staff or volunteers to avoid having to make
judgements. Given the impossibility of determining what is actually ‘true’, it is impera-
tive to identify the key means to address the toxic effects of the ‘politics of truth’ and the
vigilante approach that various actors in the asylum system – whether public author-
ities or civil society – may have towards SOGI claimants.
5. U S I N G R E F U G E E L AW A N D P O L I C Y TO V I N D I C AT E S O G I
R E F U G E E S ’ O W N ‘ T R U T H S ’
The analysis so far has made it clear that: (1) it is not possible to determine the ‘truth’
about someone’s sexual orientation or gender identity, and (2) SOGI claimants see
their epistemic agency seriously and continuously damaged by the asylum system
(even if they reclaim agency in a variety of other ways).111 While bearing in mind that
‘truth’ is not achievable, we also need to accept that – at least for the foreseeable fu-
ture – asylum systems will continue to pursue some sort of objectivity. That being
the case, this part attempts to discuss some policy-oriented means to alleviate the
epistemic injustice experienced by SOGI asylum claimants. The proposals below fall
107 Seth, NGO worker, UK.
108 Thomas, NGO volunteer, Germany. ‘BAMF’ stands for ‘Bundesamt für Migration und
Flüchtlinge’, the German Federal Office for Migration and Refugees.
109 Matthias, social worker, Germany.
110 Deirdre, lawyer, UK.
111
In the words of Bohmer and Shuman, the ‘process deprives the asylum applicants of the right to
determine what counts in their own stories’. Bohmer and Shuman (n 5) 624.
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The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
• Page 23 of 30
short of a transformative strategy, as suggested by Fraser (see part 2 above), and do not
include all the measures that would be necessary at an individual, social, and institu-
tional level in order to eliminate epistemic injustice completely in the asylum system.
Nevertheless, they offer a pragmatic and realistic approach to mitigating the problems
identified above, even within a generally hostile, populistic, and xenophobic political
environment.112
The ‘fake’ claims debate should include an honest acknowledgment of the possibility
that some claims may not be entirely genuine, but the discussion cannot stop there:
I think there is an element of truth [in the ‘fake’ claims debate]. I mean, I think
any system in the world, regardless of what, will be abused by some people, for
some purposes. I think that is not something we can deny, I don’t think it is so
much of a problem necessarily as it is often made out to be. I think there is a lot
of fear around that. I also don’t think that the fact that there are some bad apples
should prevent genuine cases from receiving the consideration that they actually
deserve.113
Many participants acknowledged the desperation felt by asylum claimants to escape
persecution and obtain international protection. Desperation can ‘legitimately’ make
claimants lose ‘perspective’ and present stories that are not their own in the hope of
increasing their chances of being granted international protection (for instance, if they
know someone else was successful with that story).114 The lack of available information
about SOGI asylum (that sexual orientation or gender identity can be the basis of a
claim) when claimants arrive in Europe and/or lodge a claim – combined with claim-
ants’ frequent lack of knowledge about the way SOGI minorities are treated in host
countries, fear of discrimination by the host community and by their own diaspora,
and internalized homo/transphobia – can also understandably lead claimants to em-
bellish their fear of persecution.115 Additionally, Chiara, an NGO worker in Italy, made
the point that, even if a claimant is not entirely honest in their testimony, this is not
necessarily an ‘abuse of the system’, in the sense that the claimant may nevertheless be
deserving of international protection. The focus should instead be on those who profit
economically from ‘selling stories’ (such as smugglers),116 and from training claimants
in how to use those stories:
We have also had reports that there are organisations that even train people on
how to present themselves as being gay in asylum procedures, because even if the
person is not necessarily gay themselves, because it will help your process. And
that there are again, apparently, some organisations that charge for such services.
… I think that is a more pressing issue. I feel this is maybe a bit contentious,
112 Danisi and others (n 14) ch 4.1.
113
Jules, staff member, ILGA-Europe.
114 Giuseppe, lawyer, Italy; Sofia and Emma, NGO workers, Germany; Terry, member of the
European Parliament.
115 Damiano, lawyer, and Valentina, social worker, Italy.
116 Helena, staff member, European Asylum Support Office (EASO), now European Union Agency
for Asylum (EUAA).
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Page 24 of 30
• The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
I feel that anyone who is seeking asylum and who goes through all the effort and
hassle and trouble of coming here and seeking asylum whether or not they are
gay, whatever their sexual orientation or their gender identity, clearly there was a
reason strong enough to motivate them to come, and they should be given a fair
chance. So, I don’t necessarily have very strong qualms about people trying to
maximise their chances … so long of course that it doesn’t count to a scale that
it actually affects those who generally need this particular means. My problem
would then become more with those who start to profit off it.117
Media reports from the Netherlands and the USA, for example, affirm concerns that
there are people who exploit asylum claimants by selling them stories of successful
SOGI claims.118 The focus should thus be on those exploiting SOGI claimants rather
than on the risk that some SOGI claimants may not be entirely ‘truthful’. In this context,
the ‘filtering’ role played by civil society actors is unwelcome, and these actors’ doubts
about whether a claim is genuine are often perceived as judgmental. Consequently,
claimants affected by this exercise of power by civil society actors have expressed sad-
ness and frustration at being dehumanized and deprived of their ‘truth’ by those from
whom they seek support:
Because when we come to the groups, we need comfort. We need comfort. We
need counselling, we need help. Not to be judged, not to be judged. There is no
point why you judge me, when I come to the group, you wait to the Home Office
to decide for me, why do you judge me? … You wait for the Home Office and you
decide, yes. You don’t need to upset people.119
Some participants also referred to the excessive ‘craving for truth’,120 and, more gener-
ally, how this pressure reflects the prejudice and arrogance of civil society actors:
I don’t like it either that an association says ‘Ah, but for me he is not gay’. But
how can you say that? Again, the LGBTI community also has prejudices … And
then, how can you pretend to have the right to judge that a person who comes
from a country totally different from yours, does not speak your language, has
a totally different mind-set, you say ‘for me he is not gay’. But on what basis do
you say that? Even in that case, you have to … put aside certain prejudices that
some LGBTI volunteers have, and think that in any case those who have to take a
decision are the commission … and that the decision should not be made in the
sense that the person must prove irrefutably that they are LGBTI, but that they
can offer a story that is more or less coherent.121
117
Jules, staff member, ILGA-Europe.
118 See examples in Bilefsky (n 12); Marion MacGregor, ‘Dutch Government Cracks Down
on Ugandan Asylum Seekers after “Fake” LGBT Claims’ (InfoMigrants, 10 November
2020) <https://www.infomigrants.net/en/post/28401/dutch-government-cracks-down-on-
ugandan-asylum-seekers-after-fake-lgbt-claims> accessed 12 September 2022.
119 Miria, UK.
120 Giulia, LGBTIQ+ group volunteer, Italy.
121 Cristina, UNHCR official, Italy.
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The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
• Page 25 of 30
The ‘truth’ about SOGI asylum claims is unachievable, since both ‘truth’ and ‘fakeness’
about a person’s sexual orientation or gender identity are discursively produced by all
actors in the asylum system. Nonetheless, from a pragmatic and policy perspective, it
is important to use all the tools available to make the asylum system fairer for SOGI
claimants and to enhance its epistemic justice. Five are identified below.
First, claimants should be provided with comprehensive information about key
aspects of the asylum system when they first lodge their claim, including that sexual
orientation and gender identity can be the basis for an asylum claim.122 The fact that
this does not happen currently renders it more difficult for States to fulfil their obliga-
tion to identify claimants’ special procedural needs.123 Secondly, the right to free legal
assistance and representation should be expanded beyond appeal procedures,124 as well
as funded more substantially by domestic authorities, to ensure quality representation
at all stages of the asylum procedure. This would allow SOGI claimants to lodge better
developed initial claims, supported by evidence and informed by sound legal advice,
which is not currently the situation in Europe.125
Thirdly, asylum procedures need to be informed by greater respect for claimants’
rights and dignity, as well as a stronger spirit of empathy. This study’s fieldwork showed
that this does not happen at present.126 It is essential to ensure that SOGI claimants
have enough time to prepare adequately and present their cases effectively. More care
needs to be invested in the choice of locations for asylum interviews, training in inter-
view techniques, and the quality of interpreting services, as well as ensuring that claim-
ants have an opportunity to clarify any apparent contradictions. Overall, a relationship
of trust between the claimant and the decision maker needs to be fostered.127
Fourthly, should a decision maker retain doubts after the interview, it is important
to apply the principle of the benefit of the doubt whenever possible. It is clear that this
principle is not currently applied with the consistency and scope it warrants, either at a
domestic or an international level.128 This is compounded by the fact that the claimant’s
self-identification in terms of sexual orientation or gender identity is not afforded suf-
ficient value: it may not be the end of the matter,129 but it is undoubtedly the starting
122 Nuno Ferreira, ‘Reforming the Common European Asylum System: Enough Rainbow for Queer
Asylum Seekers?’ [2018] Rivista di Studi Giuridici sull’Orientamento Sessuale e l’Identità di
Genere 25, 33.
123 European Council on Refugees and Exiles, ‘The Concept of Vulnerability in European Asylum
Procedures’ (2017) 21.
124 Currently, and within the Common European Asylum System, this right refers only to appeal
procedures: see Directive 2013/32/EU of 26 June 2013 on common procedures for granting and
withdrawing international protection (recast) [2013] OJ L180/60, art 20.
125 Danisi and others (n 14) ch 6.2.2.
126
127
128
129
ibid ch 6.
ibid ch 11.3.2.
ibid ch 7.4.1; Nuno Ferreira, ‘An Exercise in Detachment: The Strasbourg Court and Sexual
Minority Refugees’ in Mole (ed), Queer Migration and Asylum in Europe (n 102).
Joined Cases C–148/13, C–149/13, and C–150/13, A, B and C v Staatssecretaris van Veiligheid
en Justitie [2014] ECLI:EU:C:2014:2406, para 49.
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Page 26 of 30
• The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
point, and decision makers need to take that seriously.130 Rather, some decision makers
go as far as reversing the presumption of truth reflected in the principle of the benefit of
the doubt and believing that, in case of doubt, a story should be assumed to be false.131
Yet, not only is respect for the principle of the benefit of the doubt a legal requirement,
according to UNHCR,132 it is also advisable from a policy perspective:
Because, you can even make an argument, I think, that if somebody is so des-
perate to stay, that they are actually willing to lie about their sexuality and tell you
that they’re, they are gay or whatever, you know, where they know that within
their own society this is something which is not seen as acceptable, which does
put them at risk … You have got to be pretty desperate to lie about it, so you
know … I belong to the group that tends to do benefit of the doubt.133
Some decision makers do seem to be conscious of the need to adopt a lower standard
of proof and apply the benefit of the doubt whenever possible:
it was bollocks [a ‘fake’ claim], really. And you do get cases like that, yes, of course,
you do, yes, and it makes judges battle weary and cynical, of course. And you have
got to put that on one side all the time. … But, you know, you remind yourself
all the time, it is a lower standard, lower standard [of proof]. It is not a balance of
probabilities, it is the lower standard, and if in doubt you must give, you must give
the benefit of the doubt.134
In conjunction with a lower standard of proof and the benefit of the doubt, emphasis
should shift from the claimant’s ‘true’ sexual orientation or gender identity to the risk of
persecution, conditions in the country of origin, and the quality of COI.135 This would
better balance decision makers’ determination of the ‘truth’ of SOGI claimants’ mem-
bership of a particular social group with an analysis of the risks facing claimants if they
are returned to their countries of origin.
Fifthly, decision makers would benefit from better training and working conditions,
to avoid lack of preparation, burnout, and desensitization. This fatigue and loss of em-
pathy over the years have been documented, for example, in Canada.136 Mandatory and
regular training on general SOGI matters and SOGI-related COI – including the so-
cial and cultural nature and variations of SOGI – would equip decision makers with
more appropriate knowledge and skills to deal with SOGI claims in a non-stereotypical
130 Moira Dustin and Nuno Ferreira, ‘Improving SOGI Asylum Adjudication: Putting Persecution
Ahead of Identity’ (2021) 40(3) Refugee Survey Quarterly 315.
Jubany (n 6) 87.
131
132 UNHCR, Handbook on Procedures and Criteria for Determining Refugee Status and Guidelines on
International Protection under the 1951 Convention and the 1967 Protocol relating to the Status of
Refugees, HCR/1P/ENG/REV.4 (1979, reissued 2019) paras 203–04.
Jean, member of the European Parliament.
133
134 Harry, senior judge, UK.
135 Dustin and Ferreira (n 130).
136 Rousseau and Foxen (n 4) 517.
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The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
• Page 27 of 30
or uncynical manner. Moreover, as Helena, a staff member in the European Asylum
Support Office (EASO, now European Union Agency for Asylum, EUAA), argued, de-
cision makers are invariably affected by the stories of war, rape, and torture to which
they listen on a daily basis. According to Jubany, the fact that (in Spain and the UK)
there are fewer female than male decision makers also means that the female decision
makers frequently listen to stories of rape and sexual violence, thus contributing to
greater scepticism and desensitization.137 Finding that these stories must be to some
extent ‘fake’ becomes a natural protective mechanism.138 States thus need to improve
the training and working conditions of decision makers by providing mandatory and
regular training, flexible working conditions, career breaks, and appropriate forms of
staff support, including counselling and training in vicarious trauma and self-care,139
as well as abstaining from putting decision makers under any form of pressure to reject
asylum claims.
None of these suggestions will help determine the ‘truth’ in SOGI claims; such an
endeavour is doomed to fail. Nevertheless, the five broad recommendations delineated
here can assist in increasing the epistemic justice of the asylum system for SOGI claim-
ants – as well as potentially for all asylum claimants – as they have the potential to help
claimants have a greater say (both quantitatively and qualitatively) in the discursive
construction of the ‘truth’ of their claims. By pursuing greater respect for the right to
information, investing in legal aid, improving asylum procedures, applying the prin-
ciple of the benefit of the doubt, and improving the training and working conditions
of decision makers, we could further reduce the already negligible risk of ‘fake’ SOGI
claims. By setting the example and operating an asylum adjudication system that re-
spects claimants’ ‘truths’ and does not indiscriminately label their stories as ‘fake’, civil
society actors would, in turn, gradually discard their roles as ‘filters’ of ‘fakeness’. NGOs’
institutional reputations would not be damaged if they occasionally offered support
to a claimant not being, or not having undergone, exactly what their testimony states,
since what matters is to respect claimants’ rights and to treat them with impartiality
and humanity. The principle of the benefit of the doubt, in particular, would support
all actors in the asylum system in a journey towards greater empathy, belief, and re-
spect, better fulfilling the aims of the international protection system. Crucially, this
would support refugees’ struggles for epistemic recognition and, at the same time, give
them more power to define their own identities and prevent asylum authorities from
dictating the terms.
6. CO N C LU S I O N
SOGI asylum claimants face the impossible task of proving they are queer enough but
not too queer, proving they come from a country where SOGI minorities face enough
risk of persecution but where there is not a generalized risk of violence, and, above all,
proving the ‘truth’ of their claim where decision makers commonly have a mindset im-
bued with scepticism, cynicism, and prejudice. It is all too easy to consider a claim to
137
Jubany (n 6) 84.
138 Deirdre, lawyer, UK.
139 Danisi and others (n 14) ch 11.3.1.
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Page 28 of 30
• The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
be ‘fake’, which renders the asylum system deeply unjust from an epistemic perspective.
By adopting the Foucauldian-inspired body of literature on epistemic injustice as a the-
oretical framework, this article has identified the crucial ways in which SOGI claimants
are deprived of epistemic agency, not only by asylum authorities, but also by NGOs,
support groups, legal representatives, and other SOGI claimants and refugees. While
relying mostly on empirical data collected in Germany, Italy, and the UK, and notwith-
standing any country-level disparities, both the study participants and the documen-
tary sources confirmed that all actors in the asylum system to some extent contribute
to discourses on ‘fake’ claims. This justifies the concern expressed in this article that
asylum systems across Europe and elsewhere are designed in a way that seeks to estab-
lish a ‘truth’ that cannot be established, and to deny SOGI claimants their ‘truth’.
The topic of ‘fake’ claims is most often used by anti-migration and anti-refugee
politicians as part of a xenophobic and racist rhetoric. This applies to asylum claims
in general, and SOGI ones in particular, thus often also reflecting homophobia and
transphobia. That may explain why discussing ‘fake’ claims seems taboo in academic
circles and grey literature. Instead, this article has faced this issue without subterfuge:
there may be SOGI claims that lack complete veracity, but then again, ‘truth’ in relation
to a person’s sexual orientation or gender identity is illusory, since it is largely subject-
ively, socially, and culturally constructed. The theoretically informed and empirically
grounded approach employed here may usefully be replicated in relation to other
categories of asylum claims, such as those based on religious grounds or gender-based
violence, which are also severely affected by discourses of ‘fakeness’ and difficulties
with standards and burdens of proof.140
If ‘fake’ claims exist, they are undoubtedly few – ‘exceedingly rare’, in the words of
Neilson and Adams.141 More importantly, nobody can claim the role of final arbiter of
the ‘truth’, as any system of production of ‘knowledge’ and ‘truth’ is discursively con-
structed, shaped by power relations, and characterized by epistemic injustice. The ‘fake’
claimant – especially if thought of as a pervasive and dangerous phenomenon – is thus
a myth: a convenient myth to help society make sense of a challenging situation, and
design a solution for it.142 As Jean, a member of the European Parliament, said:
I think it [fake claims] is another part of the mythology. I would be very inter-
ested to see what the figures are on that, because I am willing to bet that most
Member States don’t have them. … [I]t is one of those claims that … I think is
invented for a purpose. … lot of countries work with the culture of disbelief, the
idea that somehow, you know, this [sexual orientation or gender identity] almost
140 See eg Uwe Berlit, Harald Doerig, and Hugo Storey, ‘Credibility Assessment in Claims based on
Persecution for Reasons of Religious Conversion and Homosexuality: A Practitioners Approach’
(2015) 27 International Journal of Refugee Law 649; Isabella Mighetto, ‘The Contingency of
Credibility: Gender-Related Persecution, Traumatic Memory and Home Office Interviews’
(2016) 3 SOAS Law Journal 1.
141 Victoria Neilson and Lori Adams, ‘Gay Asylum Seekers’ The New York Times (7 February
accessed
<https://www.nytimes.com/2011/02/07/opinion/lweb07gay.html>
2011)
12 September 2022.
142 Rousseau and Foxen (n 4) 507.
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The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
• Page 29 of 30
is a sort of privileged grounds for claim. … I cannot think of anything that I have
seen in terms of evidence, that would back that statement, at all.
Another member of the European Parliament, Terry, had a similar view:
the step to say ‘I am a gay man’, or the step to say ‘I am a trans woman’, without
being it, just, you know, to get asylum, and to have it easier … is so high [large]
that the number of people who would actually do that and then can tell a cred-
ible story about how they were suffering from this, and how it made their life
different, very difficult … that the attention that is given to this in the media is
completely over the top.
In other words, if there is an ‘abuse’, it is an ‘abuse’ committed by States that construct
‘bogus asylum seekers’ and ‘irregular migrants’.143 Our response should thus be at a
policy and social level, to facilitate legal and documented migration paths. This would
help prevent people providing embellished accounts instead of their own stories be-
cause they are desperate.
There may only be discursively constructed ‘truth’ and ‘fakeness’ rather than ob-
jective ones. But to the extent that one is obliged to try to ‘prove’ something – as asylum
claimants are – then systems and processes should facilitate epistemic justice as much
as possible. Telling one’s story – even when including experiences of violence – can
be empowering,144 but that is frustrated if the listener denies the experiences being
recounted and thus dehumanizes the speaker. In fact, denying the claimant’s testi-
mony can be even more traumatizing and distressing for the claimant than the original
trauma.145 Yet, the need to safeguard the ‘integrity of the system’ is used as an excuse to
search for models of decision making that can expunge ‘false’ SOGI claims.146 SOGI
claims are thus a powerful example of the disturbing epistemic injustice that asylum
systems produce.
Decision makers involved with SOGI claims enjoy a clear ‘institutional comfort’
that is used to facilitate testimonial and contributory injustice.147 This not only results in
excessive and inappropriate use of discretion by decision makers,148 but also feeds into
a toxic discourse of ‘fakeness’. While it may not be possible to completely domesticate
such discretion and eradicate the discourse of ‘fake’ claims, it is realistic to combat and
reduce the current testimonial and contributory injustices in SOGI claims. As explored
above, the focus should be on ensuring respect for the right to information, investing
143 Valentina, social worker, Italy.
144 Amanda Burgess-Proctor, ‘Methodological and Ethical Issues in Feminist Research with Abused
Women: Reflections on Participants’ Vulnerability and Empowerment’ (2015) 48 Women’s
Studies International Forum 124.
145 Rousseau and Foxen (n 4) 519.
146 M Yanick Saila-Ngita, ‘Sex, Lies, and Videotape: Considering the ABC Case and Adopting
the DSSH Method for the Protection of the Rights of LGBTI Asylum Seekers’ (2018) 24
Southwestern Journal of International Law 275, 298.
147 Sertler (n 39).
148 Danisi and others (n 14) ch 7.
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Page 30 of 30
• The Discourse of ‘Fake’ SOGI Asylum Claims as a Form of Epistemic Injustice
in legal aid, improving asylum procedures, applying the principle of the benefit of the
doubt, and improving decision makers’ training and working conditions. A more trans-
formative strategy – one that completely eliminates epistemic injustice in asylum sys-
tems – should be the long-term aim. Indeed, it is a moral obligation, and ‘to be human
is to be moral, and you cannot have a day off when it suits you’.149
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149 Lloyd Jones, Mister Pip ( John Murray 2008) 180.
| null |
10.1371_journal.pbio.3002453.pdf
|
Data Availability Statement: All data supporting
the findings of this manuscript are available on the
Open Science Framework at osf.io/3kyvw.
|
All data supporting the findings of this manuscript are available on the Open Science Framework at osf.io/3kyvw .
|
RESEARCH ARTICLE
Cell size homeostasis is tightly controlled
throughout the cell cycle
Xili Liu1, Jiawei Yan2, Marc W. KirschnerID
1*
1 Department of Systems Biology, Harvard Medical School, Boston, Massachusetts, United States of
America, 2 Department of Chemistry, Stanford University, Stanford, California, United States of America
* marc@hms.harvard.edu
Abstract
AU : Pleaseconfirmthatallheadinglevelsarerepresentedcorrectly:
To achieve a stable size distribution over multiple generations, proliferating cells require a
means of counteracting stochastic noise in the rate of growth, the time spent in various
phases of the cell cycle, and the imprecision in the placement of the plane of cell division. In
the most widely accepted model, cell size is thought to be regulated at the G1/S transition,
such that cells smaller than a critical size pause at the end of G1 phase until they have accu-
mulated mass to a predetermined size threshold, at which point the cells proceed through
the rest of the cell cycle. However, a model, based solely on a specific size checkpoint at
G1/S, cannot readily explain why cells with deficient G1/S control mechanisms are still able
to maintain a very stable cell size distribution. Furthermore, such a model would not easily
account for stochastic variation in cell size during the subsequent phases of the cell cycle,
which cannot be anticipated at G1/S. To address such questions, we applied computation-
ally enhanced quantitative phase microscopy (ceQPM) to populations of cultured human
cell lines, which enables highly accurate measurement of cell dry mass of individual cells
throughout the cell cycle. From these measurements, we have evaluated the factors that
contribute to maintaining cell mass homeostasis at any point in the cell cycle. Our findings
reveal that cell mass homeostasis is accurately maintained, despite disruptions to the nor-
mal G1/S machinery or perturbations in the rate of cell growth. Control of cell mass is gener-
ally not confined to regulation of the G1 length. Instead mass homeostasis is imposed
throughout the cell cycle. In the cell lines examined, we find that the coefficient of variation
(CV) in dry mass of cells in the population begins to decline well before the G1/S transition
and continues to decline throughout S and G2 phases. Among the different cell types tested,
the detailed response of cell growth rate to cell mass differs. However, in general, when it
falls below that for exponential growth, the natural increase in the CV of cell mass is effec-
tively constrained. We find that both mass-dependent cell cycle regulation and mass-depen-
dent growth rate modulation contribute to reducing cell mass variation within the population.
Through the interplay and coordination of these 2 processes, accurate cell mass homeosta-
sis emerges. Such findings reveal previously unappreciated and very general principles of
cell size control in proliferating cells. These same regulatory processes might also be opera-
tive in terminally differentiated cells. Further quantitative dynamical studies should lead to a
better understanding of the underlying molecular mechanisms of cell size control.
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OPEN ACCESS
Citation: Liu X, Yan J, Kirschner MW (2024) Cell
size homeostasis is tightly controlled throughout
the cell cycle. PLoS Biol 22(1): e3002453. https://
doi.org/10.1371/journal.pbio.3002453
Academic Editor: Jonathon Pines, The Institute of
Cancer Research, UNITED KINGDOM
Received: September 15, 2023
Accepted: November 28, 2023
Published: January 5, 2024
Copyright: © 2024 Liu et al. This is an open access
article distributed under the terms of the Creative
Commons Attribution License, which permits
unrestricted use, distribution, and reproduction in
any medium, provided the original author and
source are credited.
Data Availability Statement: All data supporting
the findings of this manuscript are available on the
Open Science Framework at osf.io/3kyvw.
Funding: This work was funded by the National
Institute of General Medical Sciences
(5RO1GM26875-42 to MWK, 5R35GM145248 to
MWK) and National Institute on Aging
(1R56AG073341 to MWK, 5R01AG073341 to
MWK). The funders had no role in study design,
data collection and analysis, decision to publish, or
preparation of the manuscript.
Competing interests: The authors have declared
that no competing interests exist.
PLOS Biology | https://doi.org/10.1371/journal.pbio.3002453 January 5, 2024
1 / 34
Cell size homeostasis is tightly controlled throughout the cell cycle
Introduction
AIC, Akaike information criterion;
Abbreviations: AU : Anabbreviationlisthasbeencompiledforthoseusedinthetext:Pleaseverifythatallentriesarecorrect:
BI, bilinear; ceQPM, computationally enhanced
quantitative phase microscopy; CV, coefficient of
variation; DA std, standard deviation of Division
Asymmetry; DMEM, Dulbecco’s Modified Eagle
Medium; ERA, ergodic rate analysis; FBS, fetal
bovine serum; PFS, Perfect Focus System; Rb,
retinoblastoma; SE, sub-exponential; SLBP,
stem-loop binding protein.
The size distribution of a population of proliferating cells is accurately maintained over many
generations, despite variability in the growth rate and the duration of the cell cycle in individ-
ual cells, as well as the imprecision in the equipartition of daughter cells at mitosis. Each of
these factors is known to contribute to a dispersion in cell size within a population [1]. It has
long been evident that there must be some “correction” mechanism that would act within indi-
vidual cells to counteract the combined effects of all the sources of random variation and
thereby ensure a stable size distribution in the population over many generations [2]. Studies
on mammalian and yeast cell size up to now have focused on 1 attractive and plausible mecha-
nism for size homeostasis: a dependence of the G1 length inversely with cell size. Theoretically,
such a mechanism should allow small cells to “catch up” with larger cells by spending a longer
time growing in the G1 phase. Such a process would be expected to reduce cell size variation
by normalizing size at the point of S phase entry [2–9]. Several molecular players in this pro-
cess have been suggested, such as the dilution of retinoblastoma (Rb) protein [6,9,10] and the
activation of p38 MAPK kinase [11,12]. However, such a mechanism, while attractive for its
simplicity, cannot in principle fully explain the constancy in the cell size distribution over
many generations. Specifically, if G1 length regulation were the only operative mechanism,
cells would have no way to anticipate the random variation introduced during the subsequent
nonG1 cell cycle phases, a period longer than G1 in most proliferating cell types. Nevertheless,
most proliferating cell populations, regardless of their surrounding environment and genetic
background, manage to achieve highly accurate size homeostasis [13].
In 1985, Zetterberg and colleagues reported that the variation of G1 length in mouse fibro-
blast cells accounted for most of the variation in cell cycle length when cells switched from qui-
escence to proliferation [14]. However, a later study in several cell lines found the G1, S, and G2
phase lengths had comparable variability and were all positively correlated with the cell cycle
length in normal cycling populations [15], implying a dependency of cell cycle phase lengths on
cell size outside of G1. Furthermore, regulation of the S and G2 lengths is known to make a con-
tribution to size homeostasis in lower eukaryotic organisms, such as budding and fission yeasts
[16–18]. However, evidence of size-dependent regulation outside of G1 has seldom been
reported in mammalian cells [4,7]. Little is known about whether the nonG1 phases play an
appreciable role in maintaining mammalian cell size homeostasis or whether variation in cell
size introduced in the nonG1 phases is somehow fully compensated at the next G1/S transition.
An alternative approach for regulating cell size, other than regulating it at S phase entry or
in the length of other cell cycle phases, would be to regulate cell growthAU : PerPLOSstyle; italicsshouldnotbeusedforemphasis:Hence; allitalicizedwordshavebeenchangedtoregulartextthroughoutthearticle:
[1,19]. A few studies
have suggested various types of size-dependent growth rate modulation in cultured cells. For
example, Cadart and colleagues found that the slope of volume growth rate versus cell volume
decreases for large cells at birth [7]; Neurohr and colleagues found that volume growth rate
slows down in excessively large senescent cells [20]; and Ginzberg and colleagues found that
nuclear area, an approximate proxy for cell size, is negatively correlated with growth rate at 2
points during the cell cycle [8]. Though such observations have been noted, there has been lit-
tle said about their quantitative importance. Furthermore, it is hard to evaluate the various
types of growth modulation, as they were discovered in different systems using different physi-
cal proxies for cell size, such as cell volume and nuclear area. Hence, little can be concluded
about whether these processes coexist in the same cell, are specific to certain cell types, or are
only reflected in certain types of cell measurement. Compared to studies on cell cycle control,
cell growth control has received little attention.
In keeping with a previous study in bacteria [21], we wish to distinguish between “size con-
trol” and “size homeostasis.” We will use the term “size control” to refer to the regulation of
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
the mean size, such as when the mean size in a population of cells responds to a change of envi-
ronment or when cells differentiate into a different cell type; whereas, we reserve the term “size
homeostasis” for the control of the variance around the mean size of a population in a defined
steady-state condition. Though these 2 processes may turn out to be mechanistically related,
we cannot assume that they share the same mechanism. In this study, our focus is on the less
well studied but perhaps more common process of size homeostasis. We used cultured cell
lines because primary cells can take a very long time to reach a stable cell size in culture,
whereas cell lines are much more stable and reproducible. Furthermore, cell lines have been
well characterized; hence, observations from different laboratories can be readily compared
and experiments can be easily replicated. Finally, we expect that size regulation would occur in
all cell types, normal and transformed, embryonic and differentiated. Like other general cellu-
lar mechanisms, such as mitosis, DNA replication, and protein secretion, it is highly likely that
underlying general mechanisms are conserved. To test this generality, we have studied size reg-
ulation during the cell cycle in several human cell lines of diverse origins, cultured under dif-
ferent conditions.
Cell size can be expressed either in terms of mass or volume. Cell volume tends to be a
more passive response than mass to the mechanical and osmotic conditions occurring during
the cell cycle and differentiation [22–25]. Hence, we have chosen to focus on cell mass homeo-
stasis. There are excellent experimental means to measure cell mass in suspension culture [26],
but it is much harder to measure cell mass accurately when cells are attached to a substratum,
which is closer to the physiological context for most mammalian cell types. This single experi-
mental limitation has thwarted the study of cell mass homeostasis and growth rate control in
the most well-studied systems. Measuring the mass of a single cell on a culture dish accurately
is surprisingly difficult. Furthermore, determining the growth rate from the time derivative of
the mass is even more challenging [27,28]. The study of cell mass growth rate regulation in
attached cells with sufficient precision to distinguish between different models of growth con-
trol required the development of new methods. To this end, we recently developed computa-
tionally enhanced quantitative phase microscopy (ceQPM), which measures cell dry mass (the
cell’s mass excluding water) by the refractive index difference between cell and medium to a
precision of better than 2% [29]. To describe statistically significant features of cell mass and
growth rate regulation, we tracked single-cell growth and the timing of cell cycle events at a
scale of thousands of cells per experiment. Using this improved technology, we could investi-
gate the process of cell mass accumulation relative to cell cycle progression throughout the cell
cycle. From these improved measurements, we could derive new understandings of cell mass
homeostasis during the cell cycle in several cultured cell lines. The results challenge existing
theories of cell mass (or, more colloquially, cell size) homeostasis and suggest further mecha-
nistic experiments.
Results
Cell mass variation is tightly controlled and largely independent of the
state of the G1/S circuitry
“Cell mass homeostasis” can be strictly defined as the maintenance of a stable distribution of
cell mass over generations in a population of proliferating cells. Expressed mathematically, at
homeostasis, the coefficient of variation (CV) of cell mass at division, CVd, should be lower
than the CV of cell mass at birth, CVb. And, the two should fulfill the equation adapted from
Huh and colleagues [30]:
PLOS Biology | https://doi.org/10.1371/journal.pbio.3002453 January 5, 2024
CV2
b ¼ CV2
d þ Q2;
ðEq1Þ
3 / 34
PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
where Q denotes the partition error, with Q2 ¼ <ðm1(cid:0) m2Þ2>
<m1þm2>2 ; m1 and m2 are the birth masses of
the 2 daughter cells of the same mother cell, respectively. By monitoring the proliferation and
growth of HeLa cells by ceQPM, we found that the cells were indeed at such a homeostatic
state, as the difference between the left- and right-hand sides of Eq 1 was negligible (S1 Fig).
To explore this homeostasis further, we considered an abstract model of how the cell mass
variation of a cell population evolves with cell cycle progression (Section 1 in S1 Text). If there
were no operative controls and cell mass grew exponentially (dm
¼ am) (Fig 1A), the cell mass
dt
CV would be expected to increase super-exponentially as the cells traverse the cell cycle due to
the variation of the growth exponent, α, among cells (Fig 1B). Furthermore, the variation in
cell cycle length and the partition error would further contribute to the cell mass variation
(quantified by the birth mass CV) at each generation (Fig 1C). To maintain cell mass
Fig 1. Cell mass variation is tightly controlled in mammalian cell lines and is robust to perturbations in G1/S
(A–C) An abstract model of cell mass homeostasis at different G1 regulation strengths,
regulation or growth rate. AU : AbbreviationlistshavebeencompiledforthoseusedinFigs1to5:Pleaseverifythatallentriesarecorrect:
represented by the slope of G1 length vs. birth mass correlation. The corresponding model and simulation parameters
are in the Section 1 in S1 Text. In the model, we assume cells grow exponentially, and the G1 length control is the only
mechanism to reduce cell mass variation. (A) Correlations between G1 length and birth mass. Blue: no G1 length
control; red: with strong G1 length control; yellow: with weak G1 length control. (B) Cell mass CV changes with cell
cycle progression during 1 cell cycle with the corresponding G1 length regulation in (A). (C) Birth mass CV changes
across generations with the corresponding G1 length regulation in (A). (D–G) The mean birth mass (D), birth mass
CV (E), division mass CV (F), and DA std. (G) for different cell lines. (H–K) The mean birth mass (H), birth mass CV
(I), division mass CV (J), and DA std. (K) for RPE-1 and U2OS cells in normal culture medium, medium with 50 nM
palbociclib, and medium with 100 nM rapamycin at cell mass homeostasis. Error bars in (D–K) indicate the standard
deviation of 3 or more measurements. The data underlying this figure and the scripts used to generate the plots are
available on the Open Science Framework at osf.io/3kyvw. CV, coefficient of variation; DA std., standard deviation of
Division Asymmetry.
https://doi.org/10.1371/journal.pbio.3002453.g001
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BirthG1/SDivisionCell cycle progression0.10.150.20.25Cell mass CV200400600800Birth mass0102030G1 length5101520GenerationBirth mass CV0.10.20.30.60.70.8HT1080HeLaRPE-1U2OSSaos-20200400Mean birth mass (pg)HT1080HeLaRPE-1U2OSSaos-200.10.20.3Birth mass CVHT1080HeLaRPE-1U2OSSaos-200.10.20.3Division mass CVHT1080HeLaRPE-1U2OSSaos-200.020.040.06DA Std.DEFGABCControl50nM Palb100nM Rapa0200400600Mean birth mass (pg)Control50nM Palb100nM Rapa00.20.4Birth mass CVControl50nM Palb100nM Rapa00.20.4Division mass CVControl50nM Palb100nM Rapa00.020.040.06DA Std.RPE-1U2OSHIJKPLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
homeostasis, these accumulated discrepancies must be offset by a reduction of variability by
some processes during the cell cycle. If, as suggested in both in vitro and in vivo systems [4,6],
the G1/S checkpoint were the principal “size control checkpoint” (Fig 1A), we would expect
the reduction in cell mass variation to occur before or at the G1/S transition. The cell mass CV
would then be expected to increase super-exponentially after G1/S due to the lack of any oper-
able size control processes in the nonG1 phases. Therefore, the CV reduction before G1/S
would have to greatly undershoot the birth mass CV to anticipate and compensate for the cell
mass variability that would accumulate during the nonG1 phases (Fig 1B). If the G1/S control
were weakened by genetic mutation or pharmacological perturbation (Fig 1A), the reduction
in cell mass CV before G1/S would be expected to decrease, and the uncorrected error would
cause an increase in the division mass CV (Fig 1B). Such a population would eventually reach
a new homeostatic state with higher birth and division mass CVs in order for Eq 1 to be ful-
filled (Fig 1C). Therefore, the birth mass CV at homeostasis can be used as an indicator of the
stringency of the control on cell mass homeostasis.
To investigate how different forms of G1/S control might affect cell mass homeostasis, we
compared various human cancer cell lines, each with different G1/S deficiencies, and RPE-1, a
cell line with a wild-type G1/S transition [7,12,31] (S1 Table). To evaluate the stringency of the
control mechanisms regulating cell mass homeostasis, we measured the birth and division
mass CVs of live cell populations from short-term videos using ceQPM. We define the Divi-
sion Asymmetry, DA ¼ m1;2
, where m1 and m2 represent the birth masses of the 2 daughter
m1þm2
cells, and m1,2 denotes the mass of either of the daughter cells. For a population that divides
with perfect symmetry, the distribution of DA should be precisely at 0.5 without any disper-
sion. But if either daughter cell were larger or smaller than half the mother cell mass, its DA
would deviate from 0.5. The standard deviation of DA (DA std.) quantitatively represents the
fidelity of cytokinesis, and it is more commonly used than the partition error Q in Eq 1
[17,32]. Despite the considerable variation in cell mass across the different cell lines (the mean
birth mass of the largest cell line, HT1080, is 1.85-fold greater than the smallest cell line, Saos-
2) (Fig 1D), the difference in birth mass CV is less than 15% for each cell line (Fig 1E); the divi-
sion mass CV and DA std. for these cell lines were also comparable (Fig 1F and 1G). Note that
the measurement error of ceQPM is negligible (less than 2%) compared to the birth and divi-
sion mass CVs.
To assess the robustness of the birth mass CV to perturbations in the G1/S transition, we
perturbed G1/S regulation in both RPE-1 and U2OS cells using a well-characterized CDK4/6
inhibitor, palbociclib [33]. Although U2OS cells have intact Rb proteins, which have been
reported to govern the G1/S transition [4,6,34], they carry deficiencies in other G1/S regulators
(S1 Table) and are much less sensitive to palbociclib than RPE-1, which has intact G1/S cir-
cuitry (S2A and S2B Fig). Both cell lines were examined at a low dose of palbociclib, where
there was a delay in G1/S but no arrest of the cell cycle (11). We measured the dry mass of
RPE-1 and U2OS cells after being cultured for more than 1 week in palbociclib, at which point
the mass distribution of each cell line had reached a new steady state. It had been shown previ-
ously that a low dose of palbociclib weakens the negative correlation between birth size and G1
length (like the yellow curve in Fig 1A) [11]. Thus, if G1 regulation were essential for cell mass
homeostasis, we would expect the birth mass CV to increase with palbociclib treatment (like
the yellow curve in Fig 1C). Surprisingly, although the mean mass at birth had increased by
1.68-fold and 1.13-fold, respectively, in RPE-1 and U2OS cells (Fig 1H), the birth mass CV for
either cell line hardly changed and in fact slightly decreased (a 4% and 3% reduction for RPE-1
for U2OS cells, respectively) (Fig 1I). Similarly, the division mass CV and the standard devia-
tion of Division Asymmetry, DA std., also hardly changed after exposure of both cell lines to
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
palbociclib (Fig 1J and 1K). These very small changes in mass CVs indicate that the control of
mass homeostasis still operates accurately, despite strong perturbation of the G1/S transition.
Since disruption and delay of the cell cycle at G1/S did not appear to affect mass homeosta-
sis, we examined the inhibition of cell growth for effects on cell mass variability. We used rapa-
mycin, a specific inhibitor of mTOR [35], which has pervasive knock-on effects on protein
synthesis and degradation [36]. When RPE-1 and U2OS cultures were exposed to rapamycin,
the steady-state birth mass decreased by 27% and 20%, respectively (Fig 1H). However, there
were no significant changes in the birth mass CV, division mass CV, or DA std. (changes less
than 8% were observed) (Fig 1I–1K). Therefore, it appears that mass homeostasis is strongly
buffered, even when mass is greatly perturbed.
Cell mass variation is regulated throughout the cell cycle
Using ceQPM, we can now ask at what points during the cell cycle variation in cell mass occurs
and at what points it is suppressed. We used the CV as a metric of cell mass variation and mea-
sured it throughout the cell cycle in live RPE-1 and HeLa cells. To correlate the CV with the
state of the cell cycle, we utilized fluorescently tagged geminin degron as the cell cycle marker.
Geminin is a protein that regulates DNA replication. Possessing a destruction sequence like
cyclin B, geminin is degraded precisely at mitosis and begins to accumulate precisely at the
G1/S transition (S3A Fig) [37]. We aligned individual cell mass trajectories (S3B Fig) by nor-
malizing the length of the G1 segment to 0–0.5 and that of the nonG1 segment to 0.5–1 and
then calculated the CV of these normalized cell mass trajectories with cell cycle progression. In
RPE-1 cells, the cell mass CV was found to be reduced throughout the cell cycle (Fig 2A),
whereas in HeLa cells, the cell mass CV increased in the G1 phase before declining in the
nonG1 phases (Fig 2B). Neither cell line exhibited a minimum cell mass CV at the G1/S transi-
tion, as would be predicted by conventional G1 length control models (Fig 1B).
To examine the regulation of cell mass variation further in various cell lines and under dif-
ferent conditions, we calculated the cell mass CV profile as a function of cell cycle progression
from fixed cells, which provided much higher throughput than our live cell measurements.
Using ergodic rate analysis (ERA) (38), we defined a cell cycle mean path and divided it into
13 to 14 segments evenly spaced in time, based on measurements of DNA content and fluores-
cently tagged geminin degron. We applied this analysis to hundreds of thousands of fixed cells
(S4A Fig). By definition DNA replication occurs exclusively in the S phase, whereas geminin
accumulation starts at the G1/S transition (S4B–S4E, S4H, and S4J Fig) [38]. Though these 2
markers provide good resolution in late G1 and S phases, they have poor temporal resolution
in the early G1 and G2-M phases due to inaccuracy in cell cycle stage identification (S4F Fig).
Therefore, we focused our analyses exclusively on the cell mass CV in the late G1 and S phases,
employing large numbers of fixed cells.
We applied this approach to 4 cell lines: RPE-1, HeLa, U2OS, and HT1080. The cell mass
CV profiles in fixed RPE-1 and HeLa cells (Fig 2C and 2D) were similar to what we had previ-
ously found in the live cell trajectories (Fig 2A and 2B), further validating the use of fixed cells
to extract cell mass CV profiles. We found that in RPE-1 and U2OS cells, the cell mass CV
declined in late G1 (Fig 2C and 2E), as would be expected from conventional models where
regulation of the G1 length is thought to be the sole means for normalizing cell size. However,
we were surprised to find that the CV of cell mass then continued to decrease progressively
through S phase. Most strikingly, in HeLa and HT1080 cells, there was virtually no reduction
in cell mass CV in late G1; the major decrease only took place in S phase (Fig 2D and 2F).
These quantitative differences in cell mass CV profiles may depend on the status of the G1/S
circuitry in these cell lines (S1 Table). These observations are completely at odds with the G1/S
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
Fig 2. Cell mass variation is regulated throughout the cell cycle. (A, B) Cell mass CV change with cell cycle
progression measured in live RPE-1 (n = 89) (A) and HeLa cells (n = 223) (B). The red solid lines denote the cell mass
CV of the population; the pink shadows show the 95% confidence interval; the dashed line indicates the G1/S
transition. (C–H) The profiles of how cell mass CV changes with cell cycle progression at cell mass homeostasis
measured in fixed RPE-1 (C), HeLa (D), U2OS (E), and HT1080 (F) cells, as well as RPE-1 cells that had reached the
new cell mass homeostasis with 50 nM palbociclib (G) or 100 nM rapamycin (H). The cell cycle stages were identified
by DNA content and log(mAG-hGeminin) as illustrated in S4B–S4F, S4H, and S4J Fig; the late G1 and S phases are
indicated by areas shaded in purple and orange, respectively; error bars are the standard error of CV, (CV=
where n is the cell number at the corresponding cell cycle stage (n > 135 for all conditions). The data underlying this
figure and the scripts used to generate the plots are available on the Open Science Framework at osf.io/3kyvw. CV,
coefficient of variation.
ffiffiffiffiffi
2n
p
),
https://doi.org/10.1371/journal.pbio.3002453.g002
transition playing the dominant role in cell size control, although it may remain a critical
point for cell cycle regulation [1,19,34]. Note that the decrease in cell mass CV cannot be
explained by a reduction in noise because even if noise went to zero at some point, the CV
would remain at its previous value. We believe that a very strong conclusion can be drawn
from these phenomenological measurements: there must be feedback between cell mass and
cell growth rate or between cell mass and cell cycle outside of the G1 phase. The effect of this
feedback would be to effectively reduce existing variation in the population in nonG1 phases
of the cell cycle.
Since palbociclib and rapamycin had little or no effect on the birth and division mass CVs
(Fig 1I and 1J), we wondered whether they affected the timing of mass CV regulation during
the cell cycle. Consequently, we carefully measured the cell mass CV profiles in fixed RPE-1
cells that had reached new cell mass homeostasis with either drug. Both drugs altered the
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7 / 34
0.20.40.60.8Cell cycle progression0.10.120.140.16Cell mass CVHeLa0.20.40.60.8Cell cycle progression0.150.20.250.3Cell mass CVRPE-1G1/SCell cycle progression0.10.20.30.4Cell mass CVRPE-1G1/SCell cycle progression0.150.20.25Cell mass CVHeLaG1/SCell cycle progression0.10.20.30.4Cell mass CVU2OSG1/SCell cycle progression0.10.20.30.4Cell mass CVHT1080Late G1SABCDEFGHG1/SCell cycle progression0.20.30.4Cell mass CVRPE-1 50 nM PalbG1/SCell cycle progression0.10.20.30.4Cell mass CVRPE-1 100 nM RapaPLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
duration of the cell cycle phases and particularly extended the G1 phase (S2 Table). As we had
done above with untreated cells, we computed the cell cycle mean path of treated cells and
examined their cell mass CV as a function of cell cycle progression (S4G–S4J Fig). Strikingly,
we found that disrupting the G1/S transition with palbociclib led to a slight increase in cell
mass CV in late G1, followed by a much greater reduction in cell mass CV during the S phase
(Fig 2G). Conversely, inhibiting cell growth with rapamycin caused a greater reduction of cell
mass CV in late G1, and the reduction in S phase became smaller (Fig 2H). These results sug-
gest that the regulation of mass CV during S phase can compensate for the mass CV reduction
in late G1. Thus, when there is an insufficient or excessive reduction in mass CV in late G1
due to the inhibition of the G1/S transition or growth, respectively, there is a corresponding
change in the mass CV in S phase, which acts to maintain the mass CV reduction at division at
the same level.
Feedback by cell mass not only acts on the duration of G1, but also on the
durations of S and G2 phases
To investigate further cell mass regulation outside of the G1 phase, we needed to better opti-
mize the resolution of the cell cycle markers we had employed. We therefore adopted 2 cell
cycle markers for live cells that bracketed S phase: mAG-hGeminin [37] and mTurquoi-
se2-SLBP [39]. The APCCdh1 substrate, geminin, starts to accumulate in the nucleus at S phase
entry [40], whereas the histone mRNA stem-loop binding protein, SLBP, is rapidly degraded
at the end of the S phase [41] (S5A Fig). Unlike the conventional PCNA or DNA ligase I mark-
ers, which label replication foci during the S phase [42,43], geminin and SLBP are diffusive in
the nucleus and more suitable for the relatively low spatial resolution of the QPM camera.
With these 2 markers, we could accurately quantify the durations of G1, S, and G2-M phases.
Since the duration of M phase is remarkably constant [15], we attributed most of the variation
in G2-M duration to the G2 phase itself. We verified that the timing of S phase, as identified by
geminin and SLBP, was consistent with the timing of S phase identified by the DNA ligase I
foci (S5B and S5C Fig). None of the markers affected the length of any of the cell cycle phases
nor did they affect the mass-dependent regulation of the duration of the cell cycle phases (S3
Table). Moreover, the identification of the cell cycle phases (G1, S, and G2-M) using geminin
and SLBP exhibited a similar variability in their lengths as those shown using PCNA as a
marker of S-phase by Araujo and colleagues [15] (S2 Table). Therefore, we could be confident
that the geminin and SLBP markers faithfully reported the cell cycle phase durations and did
not change the physiology of these processes.
Using this approach, we confirmed the well-established existence of cell size-dependent reg-
ulation of G1 length with ceQPM. Consistent with previous findings [3,4,6–8,12], we found
that the G1 length was negatively correlated with birth mass in both non-transformed and
transformed cell lines, RPE-1 (Fig 3A) and HeLa (Fig 3E), respectively. The correlation was
stronger in RPE-1 than in HeLa cells (Fig 3A and 3E and S4 Table). We also investigated the
mass-dependent regulation of the durations of both S and G2 phases. S and G2-M phase
lengths negatively correlated with the initial mass of the corresponding periods in both RPE-1
and HeLa cells (Fig 3B, 3C, 3F, and 3G). For RPE-1 cells, the correlations of cell cycle phase
length with initial mass in S and G2 were weaker than that in G1, yet they were significant (Fig
3A–3C and S4 Table), demonstrating that regulation of cell mass variation can occur through
regulating the durations of S and G2 phases in non-transformed cells with an intact cell cycle
network, including an intact G1/S transition. This contrasts to the conventional models that
would have predicted G1 length to vary inversely with mass while leaving other phases unaf-
fected. We also found in HeLa cells that the negative correlation between cell cycle phase
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
Fig 3. The negative regulation of the durations of the G1, S, and G2 phases by cell mass. (A–D) The correlations between the lengths of the G1
(A), S (B), G2-M phases (C), and the full cell cycle (D) and the initial mass of the corresponding period in RPE-1 cells. The bottom panels indicate
the correlation; the top panels are the distributions of the initial mass. Each gray dot in the bottom panels is an observation; R is the correlation
coefficient of the gray dots; black squares indicate the average of each cell mass bin; error bars are the SEM; solid black line is the best fit of the black
squares (S4 Table). The red shaded area in the top panel indicates the cell mass range that is affected by the minimal cell cycle phase length limit, with
the text indicating the percentage of affected cells in the distribution. (E–H) The correlations between the length of the G1 (E), S (F), G2-M phases
(G), and the full cell cycle (H) and the initial mass of the corresponding period in HeLa cells. (I, J) The correlations between birth and division
masses in RPE-1 (I) and HeLa (J) cells. Each gray dot is an observation; black squares are the average of each cell mass bin; error bars are SEM. The
solid black line is the best linear fit of the gray dots; the text indicates the function of the best fit; the red line is the prediction of the best fit in (D) or
(H), respectively, assuming that cells grow exponentially (Materials and methods). The data underlying this figure and the scripts used to generate
the plots are available on the Open Science Framework at osf.io/3kyvw. SEM, standard error of the mean.
https://doi.org/10.1371/journal.pbio.3002453.g003
length and mass was much stronger in the S phase, with a correlation coefficient of −0.29,
compared to that in the G1 phase, which had a correlation coefficient of −0.20 (Fig 3E and 3F
and S4 Table). It is worth noting that although RPE-1 has more stringent G1/S control than
HeLa, the overall dependency of cell cycle length on cell mass was not stronger (Fig 3D and
3H and S4 Table). These studies challenge the G1/S checkpoint model, as mass-dependent cell
cycle regulation is not restricted to the change in the length of G1 phase as predicted [2,44,45],
but rather it is accompanied by changes in the lengths of the other phases of the cell cycle.
Upon closer examination of the binned correlations, we observed a fixed minimum limit
for the length of nearly every phase of the cell cycle, as well as the length of the entire cell cycle
in RPE-1 and HeLa cells (Fig 3A, 3B, and 3D–3H). These limits are not further reduced in
large cells. To summarize these findings, we employ 2 graphical representations for these cor-
relations: a linear model and a bilinear model, comprised of 2 line segments. With these, we fit
the binned correlations of mass and cell cycle phase lengths. We found that a bilinear model
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
provided a better fit for all phases of RPE-1 and HeLa cells, with the exception of the G2-M
phase in RPE-1 cells (Fig 3A–3H and S4 Table). This graphical relationship implies that regula-
tion of the durations of cell cycle phases cannot effectively control the mass of large cells. To
illustrate the impact of the minimal cell cycle length on cell mass variation, we conducted sim-
ulations to observe the mean and CV of cell mass within a cell population across generations,
while varying the fraction of cells affected by the minimal length limit (Section 2 in S1 Text).
The simulations show that as the minimal cell cycle length applies to more and more cells, the
homeostatic birth mass CV increases. The system eventually loses homeostasis when the mini-
mal cell cycle length is imposed on more than 40% of the cell population (S6 Fig).
In these experiments, we found that the slope of a graph of birth masses versus division
masses was close to 1 in both RPE-1 (Fig 3I) and HeLa cells (Fig 3J), consistent with the adder-
like behavior seen previously [7]. The adder model is interpreted as a behavior where cells add
a constant amount of mass during the cell cycle regardless of their birth mass. Furthermore,
we found in our measurements that each cell cycle phase exhibited an adder-like behavior (S7
Fig), making the full cell cycle a sequential adder. Such behaviors challenge the interpretation
that, in mammalian cells, mass regulation arises from a combination of a G1 sizer and a
nonG1 timer [19]. Rather, the present findings strongly suggest that each cell cycle phase,
except for M phase, contributes to cell mass homeostasis. Moreover, the fitted function of
birth mass and cell cycle length correlation cannot fully explain the adder behavior. This is par-
ticularly the case for large cells, under the assumption of exponential growth (Fig 3I and 3J).
This discrepancy is at least partially due to the existence of a minimal cell cycle phase length.
These new results underscore the need for a process of non-exponential growth (or what we
term “growth rate modulation”) to maintain cell mass homeostasis in the mammalian cells we
have studied, rather than relying solely on processes of cell cycle regulation.
Mass-dependent growth rate modulation reduces the CV of cell mass
during cell cycle progression
The simplest mathematical model for cell growth kinetics, which requires no size sensing or
feedback mechanisms, is an exponential model where the growth rate is proportional to size.
This has been particularly successful in describing growth in bacteria and can be rationalized
by a process of ribosome-dependent ribosome biosynthesis [26,46]. This simple exponential
model, however, causes variation in cell size to amplify as cells progress through the cell cycle
(Fig 1B and Section 3.1 in S1 Text). Contradicting this model, several studies have found that
although large cells generally grow faster than small cells, growth is not precisely exponential
in mammalian cells [7,26,29]. Such a lack of exponential growth might in itself lead to a reduc-
tion in cell size variation. Various previous studies suggested the dependency of growth rate
on cell size changes with cell size and cell cycle stage [7,8,20,47–50]. Recent studies by us and
others have found growth rate oscillations [29,51], where a cell alternates between increases
and decreases in growth rate.
To explore the dependence of growth rate on cell mass in proliferating cells, we measured
the growth rate in a 3-h time window and computed its correlation with cell mass at time zero.
We examined how growth rate correlated with cell mass in 18,000 HeLa cells and found that
the relation of mass to growth was close to exponential, except for a slight depression for large
cells (S8A Fig). Nevertheless, when we segregated the cells into 4 cell cycle phases, we uncov-
ered distinct cell cycle dependencies in such correlations, which were originally masked by
pooling all cells for analysis (S8B Fig). An even closer look at the data, with cells categorized
into 14 equally divided cell cycle stages, revealed positive-to-negative correlation transitions at
various points in the cell cycle (S8C Fig). The slope of the linear relation between cell mass and
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
growth rate for cells in different stages of the cell cycle indicated stronger modulation (greater
deviation from the expected slope of exponential growth) in the late G1 and G2-M phases
(S8D Fig), consistent with S8B Fig and previous studies [8,38]. However, the proportionality is
sub-exponential in most of the cell cycle stages (S8D Fig), suggesting a global process that
inherently limits the growth of large cells.
When we investigated the mass versus growth correlations in finely divided cell cycle stages,
we found subtle features. Yet, such studies require very large numbers of cells and very accurate
growth rate measurements. Coarser cell cycle discrimination leads to a loss of this kind of infor-
mation on subtle changes in the growth rate, it nevertheless adds greater statistical power to
conclusions about overarching aspects of mass-dependent growth regulation. Therefore, there
is a practical tradeoff between high cell cycle resolution of the growth analyses and the statistical
reliability of the findings. In the following analyses, we aimed for stronger statistical significance
and therefore partitioned cells more crudely into the G1 and nonG1 phases, focusing on the
most salient features of growth rate modulation. This level of resolution was sufficient to reveal
previously undiscovered features, which serve to correct our current understandings.
Measuring the correlation between cell mass and growth rate in 5 different cell lines, we
found that each cell line behaved somewhat differently. In RPE-1 cells, growth was propor-
tional to cell mass, but the proportionality was much less than exponential, with a significant
nonzero intercept (Fig 4A). In HeLa cells, the proportionality between growth and cell mass is
much closer to, but slightly less than exponential in both G1 and nonG1 phases (Fig 4B). The
observed mass versus growth correlations in short-term measurements in RPE-1 and HeLa
cells were consistent with their long-term growth trajectories (S9 Fig), showing nearly linear
growth in RPE-1 and a slight deviation from exponential growth in HeLa cells. Therefore, we
could confirm that the observed deviation from exponential growth is not due to inspection or
sampling bias caused by the short-term measurement [52], but truly signifies the inherent
growth law of the cells. In U2OS cells, the correlation was close to exponential for all cells in
nonG1 and most cells in G1 phase, but it was abruptly negative for the 15% largest cells in G1
phase (Fig 4C). In HT1080 cells, growth was close to exponential for small cells but transi-
tioned to nearly linear growth in large cells during both G1 and nonG1 phases (Fig 4D). A
bilinear model provided a significantly better fit than a simple linear model for cells in the
nonG1 phase, indicating the significance of this transition in mass versus growth correlation
as cells became larger (S5 Table). In Saos-2 cells, growth was exponential except for a slight
deviation for large cells in nonG1 phase (Fig 4E). Taken together, these results indicate that the
mathematical description of growth rate is not simply exponential in the cell lines we have
investigated, and that different cell lines display different characteristics of mass dependency at
different phases of the cell cycle.
To better compare the behaviors of different cell lines, we normalized the mass versus
growth correlations, using the means of birth mass and cell cycle length (S6 Table). Since DNA
copy number affects the correlation intercepts (Fig 4A–4D), we focused solely on the slope of
the correlations. We could distinguish 2 general types of growth rate modulation (Fig 4F and
S6 Table). In the first type, growth is linearly related to cell mass, but with a slope lower than
exponential growth (RPE-1 and HeLa). We refer to this as sub-exponential (SE) modulation.
In the second type, the slope of the mass versus growth correlation is close to exponential for
small cells but becomes less positive or even negative for large cells (U2OS G1, HT1080, and
SaoS-2 nonG1). We refer to this as bilinear (BI) modulation. For U2OS cells in the nonG1
phase and SaoS-2 cells in the G1 phase, the correlation slope is not significantly different from
exponential growth, suggesting minimal regulation.
Other studies had proposed that growth rate modulation contributes to cell size homeosta-
sis [1,7,8,19,38]. However, most of these claims were speculative and lacked sufficient
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
Fig 4. Growth rate dependence on mass differs in different cell lines, and growth rate modulation can effectively
reduce cell mass CV during the cell cycle. (A–E) Correlations between cell mass and growth rate in the G1 (blue) and
nonG1 (red) phases for RPE-1 (A), HeLa (B), U2OS (C), HT1080 (D), and Saos-2 (E) cells. Filled squares represent the
median growth rate of each bin; error bars show SEM. The black dashed lines indicate the expected behavior for
exponential growth. The solid blue and red lines are the best fit of the filled squares (S5 Table). (F) The observed
conditions were categorized into 3 types: sub-exponential, bilinear, and no modulation. (G) Contour plot illustrating
the change in cell mass CV during the entire cell cycle for SE growth rate modulation, as a function of the mean and
CV of α0 and β0, obtained from numerical simulations (Section 3.1 in S1 Text). (H, I) Contour plots illustrating the
change in cell mass CV during the G1 (H) and nonG1 phases (I) for BI growth rate modulation, as a function of the
means of γ0 and m0
t, obtained from numerical simulations (Section 3.2 in S1 Text). These simulations assumed a 20%
CV in α0. Solid circles in (G–I) indicate the corresponding positions in the contour plots when adopting parameter
values from the experimental data. The data underlying this figure and the scripts used to generate the plots are
available on the Open Science Framework at osf.io/3kyvw. BI, bilinear; CV, coefficient of variation; SE, sub-
exponential; SEM, standard error of the mean.
https://doi.org/10.1371/journal.pbio.3002453.g004
quantitative support. The work by Cadart and colleagues in 2018 stands out as an exception, as
it quantitated the correlation between birth size and growth rate [7]. Accurate and quantitative
correlations between growth rate and cell size are essential for a thorough assessment of the
impact of growth rate regulation. Nevertheless, due to the scarcity of high-quality experimental
data, most theoretical investigations into cell size homeostasis have disregarded growth rate
regulation completely and focused solely on the regulation of cell cycle length, often assuming
exponential growth [53–56]. In this study, we addressed this gap in previous studies by investi-
gating theoretically whether the types of growth rate modulation we observed could effectively
reduce cell mass variation. Using stochastic models and simulations, we focused on the influ-
ence of growth rate modulation and growth rate noise on the cell mass CV over 1 cell cycle.
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200400600Cell mass (pg)05101520Growth rate (pg/hr)Saos-2200400600Cell mass (pg)0102030Growth rate (pg/hr)RPE400600800Cell mass (pg)10152025Growth rate (pg/hr)HeLa 200400600800Cell mass (pg)05101520Growth rate (pg/hr)U2OS4006008001000Cell mass (pg)10203040Growth rate (pg/hr)HT1080ABCDEFIGHG1nonG1ExponentialCV(0.5)2-CV(0)2-0.03-0.025-0.02-0.015-0.01-0.00500HT1080U2OS11.52m'-3-2-10'(cid:2)Type 1Type 1 Condi(cid:2)on Modula(cid:2)on type RPE-1 HeLa Sub-exponen(cid:2)alType 1 U2OS G1 Bilinear U2OS nonG1 None HT1080 G1 Bilinear HT1080 nonG1 Bilinear SaoS2 G1 None SaoS2 nonG1 Bilinear Sub-exponen(cid:2)alCV(1)2-CV(0)2-0.03-0.02-0.01000.010.020.030.04HeLaRPE-100.20.40.6'00.10.20.30.4CV'=CV'CV(1)2-CV(0.5)2-0.006-0.004-0.002000.0020.0040.0060.008HT1080Soas-211.52m'00.10.20.30.4'(cid:2)PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
Initially for convenience, we assumed that all cells divided at the same cell cycle length. Subse-
quently in more comprehensive models, we incorporated cell cycle regulation and noise, as
discussed in a later section.
In the absence of any growth rate modulation, we might imagine that cell mass should accu-
mulate exponentially, as has been found in bacteria [26]. This would cause the cell mass CV to
increase super-exponentially due to stochastic variation in growth rate (Section 3.1 in S1
Text). When growth rate modulation is in the SE form (Fig 4F and S6 Table), the slope of the
correlation between cell mass and growth rate is lower than that of exponential growth. This
can be described by the equation: dm0
terms: α0m0 represents the part of growth rate proportional to cell mass, whereas β0 represents
the part independent of cell mass. Here, m0 and t0 are the cell mass and cell cycle progression
time normalized by the means of birth mass and cell cycle length, respectively (Section 3.1 in
S1 Text). According to the definition of sub-exponential growth, the mean of α0 is smaller than
ln2 and greater than 0, and the mean of β0 is determined by α0 when assuming that the mean
division mass is twice the mean birth mass, a requirement for maintaining mass homeostasis.
For simplicity, we first assumed that α0 and β0 have the same CV, but we also examined how
the CV of either parameter affected the results in the Supporting information (S10 Fig).
dt0 ¼ a0m0 þ b0, where the growth rate is composed of 2
During the initial stages of the cell cycle, the cell mass CV consistently decreases, with the
rate of decrease negatively correlated with the mean of α0 and independent of the CVs of α0
and β0 (S10A, S10C, and S10F Fig and Section 3.1 in S1 Text). As the cell cycle progresses, the
rate of mass CV reduction slows down, and the mass CV may even increase during the later
period of the cell cycle (S10B, S10D, and S10G and Section 3.1 in S1 Text). The overall change
in the cell mass CV throughout the cell cycle depends on both the mean of α0 and the CVs of
α0 and β0. The smaller mean of α0 and lower CV of α0 and β0 result in a more significant reduc-
tion in the cell mass CV (Figs 4G, S10E, and S10H). In summary, growth rate variability (char-
acterized by the CVs of α0 and β0) amplifies cell mass variation, while strong growth rate
modulation (small α0) can reduce cell mass variation throughout the cell cycle.
To assess whether growth rate modulation in RPE-1 and HeLa cells can cause cell mass CV
reduction throughout the cell cycle, we derived the parameters from the experimental data.
The mean of α0 was determined based on the mean correlations in Fig 4A and 4B (S6 Table).
To estimate the variation in α0, we used long-term live-cell growth trajectories. The CV of α0
was found to be independent of cell mass (S11A and S11B Fig). The variability in α0 arises
from 2 sources: stochastic partitioning of cellular contents during cell division (intercellular
variability) and intrinsic fluctuations in biochemical reactions (intracellular variability) [57].
The former, determined at birth, is a major contributor to cell mass variation, while the effect
of the latter gradually cancels out over time, exerting minimal impact on cell mass variation.
Therefore, we focused on the intercellular variability and estimated it by calculating the varia-
tion among the means of individual growth trajectories (S11C Fig). The CV of α0 was esti-
mated to be 0.33 for RPE-1 and 0.23 for HeLa cells, respectively. It is challenging to isolate the
variation in β0 from measurement error, thus we conducted simulations with β0 having the
same CV as α0 or with the CV of β0 being equal to zero. Using these parameters, we found that
both RPE-1 and HeLa cells could reduce the cell mass CV after 1 cell cycle (Figs 4G, S10E, and
S10H). Since the minimal requirement for cell mass homeostasis is to have a lower cell mass
CV at division than that at birth, we concluded that growth rate modulation alone is sufficient
to maintain cell mass homeostasis in RPE-1 and HeLa cells.
When a plot of growth rate versus mass is in the BI form (Fig 4F and S6 Table), the slope of
the mass versus growth correlation is close to exponential for small cells and becomes less posi-
tive or even negative in large cells. This can be described by the equation:
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
t
t
(cid:0)
(cid:0)
�
�
�
t (cid:0) g0m0
m0 � m0
t
þ g0m0 þ a0m0
(cid:0)
dm0
, where the mean of α0 is close to ln2
dt0 ¼ a0m0 m0 < m0
and the mean of γ0 is smaller than ln2 (Section 3.2 in S1 Text). The first term on the right side
of the equation represents the exponential portion of the mass versus growth rate correlation,
while the second term describes the part where growth rate modulation takes effect. Here, γ0
0 signifies the cell mass at which this modulation
indicates the strength of modulation and mτ
begins to take effect. Both γ0 and mτ
mass, respectively. Our findings indicate that the increase in cell mass CV is primarily driven
by the CV of α0 (S12A–S12D Fig). Additionally, we investigated the impact of the means of γ0,
0 on the change in cell mass CV throughout the cell cycle. We found that the smaller the
and mτ
means of γ0 and mτ
cells it affects, the greater the cell mass CV reduction (Figs 4H and 4I and S12).
0, which means the stronger the modulation on growth rate and the more
0 are normalized by the means of cell cycle length and birth
To assess whether the growth rate modulation on its own in U2OS, HT1080, and SaoS-2
cells can also lead to a reduction in cell mass CV, we simulated the changes in cell mass CV
during the G1 or nonG1 phase using values of γ0 and mτ
0 obtained from the experimental data.
When assuming a 20% CV for α0, growth rate modulation was found to decrease the cell mass
CV in the G1 phase for U2OS and HT1080 cells (Fig 4H), as well as in the nonG1 phase for
HT1080 cells (Fig 4I). However, it was not sufficient to reduce the cell mass CV in the nonG1
phase for SaoS-2 cells (Fig 4I). As the CV of α0 increases, the reduction in cell mass CV
becomes less pronounced (S12E–S12H Fig). Eventually, all 3 cell lines fail to reduce cell mass
CV at a 40% CV for α0 (S12G and S12H Fig). Notably, despite U2OS G1 cells exhibiting a
greatly negative γ0 value, which indicated an exceptionally strong growth rate modulation, its
effectiveness in reducing cell mass CV was lower than that of HT1080 G1 cells due to a smaller
0.
proportion of affected cells in U2OS, represented by a larger mτ
In summary, we found diverse patterns of correlation between cell mass and growth rate in
different cell lines, and within the same cell line measured at different cell cycle stages. We
developed stochastic models to explore the impact of different mass versus growth correlations
on the change in cell mass CV throughout the cell cycle. These models are representations of
the data itself and not contrived schemes. They suggest strongly that in many cases sub-expo-
nential growth, either for all cells or even for a subset of cells, can be an effective means of
reducing cell mass CV and can ensure cell mass homeostasis.
Regulation of the cell cycle and regulation of growth rate compensate for
each other to maintain cell mass homeostasis
Both mass-dependent regulation of the progression through the cell cycle and mass-dependent
regulation of growth rate are used by cells to reduce cell mass variation. To evaluate the relative
importance of these processes in maintaining cell mass homeostasis, we have tried to perturb
each mechanism individually in RPE-1 cells.
To disrupt mass-dependent regulation of G1 length, we slowed entry into S phase using pal-
bociclib, an inhibitor that specifically blocks the activation of Cdk4,6, which is required for
entry into S phase [33]. As discussed, low concentrations of palbociclib increased the mean cell
mass and, as expected, prolonged the cell cycle length by elongating the G1 phase (Fig 1H and
S2 Table). However, once treated cells reached a new homeostatic state, the CV of birth mass
remained unchanged compared to untreated cells (Fig 1I). When we analyzed the duration of
each cell cycle phase as a function of cell mass, we found a reduced impact of cell mass on G1
phase length coupled with an enhanced impact on S phase length, characterized by the slopes
and the correlation coefficients of the correlations between cell mass and the durations of
these phases (Fig 5A, 5B, and 5K). Additionally, the mass-dependent regulation of G2 phase
was diminished, yet still statistically significant (p = 0.0057) (Fig 5C and 5K). These opposite
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
changes in G1 and S phase regulation suggest that the mass-dependent regulation of S phase
had effectively compensated for a weakened impact of cell mass on G1 length regulation.
Hence, in specific circumstances such as palbociclib treatment, S phase can become the pri-
mary period responsible for reducing cell mass variation (Fig 2G). Nevertheless, such compen-
sation ultimately proves insufficient, resulting in a diminished cell mass-dependent regulation
of the entire cell cycle length (Fig 5D and 5K). To maintain the birth mass CV at the same level
as untreated cells, additional regulation of growth rate is required to further reduce cell mass
variation during the cell cycle. Indeed, we found that the correlations between cell mass and
growth rate in palbociclib-treated cells were even closer to linear growth compared to
untreated cells (Fig 5E), implying a stronger growth rate modulation and a greater reduction
in cell mass variation through growth rate regulation. The unchanged CV of birth mass when
cells are treated with the G1/S inhibitor, palbociclib (Fig 1I), is a collective result of the inter-
play between mass-dependent cell cycle regulation and mass-dependent growth rate regula-
tion. Thus, the cell mass CV is maintained despite a significant increase in the mean birth
mass (Fig 1H).
In a converse experiment, we specifically perturbed cell growth rate. We treated cells with
rapamycin to inhibit mTOR activity. Treatment with rapamycin resulted in an elongation of
the cell cycle (S2 Table) and a decrease in mean cell mass (Fig 1H). Similar to the results with
palbociclib treatment, rapamycin treatment left the birth mass CV unchanged (Fig 1I). Cell
mass-dependent feedback on G1 length was enhanced in the presence of rapamycin (Fig 5F
and 5K), while feedback on the S and G2-M phases were weakened (Fig 5G, 5H, and 5K).
Additionally, the minimal lengths of all cell cycle phases were slightly increased compared to
untreated cells (Fig 5F–5H). In the presence of rapamycin, the cell mass fed back more strongly
on the entire cell cycle length, as indicated by the more negative slope and correlation coeffi-
cient of the mass versus cell cycle length correlation (Fig 5I and 5K). Furthermore, the relative
strengths of correlations between cell mass and cell cycle phase lengths aligned with the
reduced cell mass CV in the corresponding phases: for example, cell mass CV was primarily
reduced in the G1 phase with rapamycin treatment (Fig 2H), consistent with the strengthened
cell cycle regulation in the G1 phase. On the other hand, we found that the slopes of the mass
versus growth correlations in both the G1 and nonG1 phases closely resembled that of expo-
nential growth (Fig 5J), suggesting a weaker role of growth rate regulation in maintaining cell
mass homeostasis when growth rate is inhibited by rapamycin.
From the experiments described above, mass-dependent cell cycle regulation and mass-
dependent growth rate modulation must interact with each other to maintain the birth mass
CV at a consistent level even when the G1/S transition or cell growth rate is perturbed, result-
ing in significant changes in the mean birth mass. After studying the feedback of cell mass on
cell cycle length and growth rate under many different circumstances, we felt a need for a new
way to compare the response of each under different conditions. We have found it convenient
to define a new parameter to represent the strength of this linkage. We utilized the normalized
slope of birth mass versus cell cycle length correlation as the parameter λ0, which quantifies the
strength of mass-dependent cell cycle regulation. The value of λ0 is always negative. A more
negative value of λ0 indicates stronger regulation. Additionally, since the slopes of the cell mass
versus growth rate correlations in the G1 and nonG1 phases were similar in RPE-1 and HeLa
cells, we found it useful to calculate the average slope of these phases and normalized it by the
mean doubling time to represent the strength of mass-dependent growth rate regulation,
which we denoted as α0. The value of α0 is smaller than or equal to ln2, which represents expo-
nential growth. A smaller value of α0 indicates a greater deviation from exponential growth
and thus a stronger modulation of growth rate. We found an inverse correlation between λ0
and α0 across all the conditions we have investigated (Fig 5L and S7 Table), suggesting a
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
Fig 5. The compensatory roles of mass-dependent cell cycle regulation and mass-dependent growth rate regulation in maintaining cell mass homeostasis. (A–D)
The correlations between the lengths of the G1 (A), S (B), G2-M phases(C), and the full cell cycle (D) and the initial mass of the corresponding period in RPE-1 cells
treated with 50 nM palbociclib. Each gray dot is an observation; black squares indicate the average of each cell mass bin; error bars are SEM; solid black line is the best fit
of the black squares; solid red lines are the corresponding correlations in untreated RPE-1 cells. (E) Correlations between cell mass and growth rate in the G1 (blue) and
nonG1 (red) phases for RPE-1 cells treated with 50 nM palbociclib. Filled squares represent the median growth rate of each bin; error bars show SEM. The black dashed
lines indicate the expected behavior for exponential growth. The solid blue and red lines are the best fit of the filled squares. (F–I) The correlation between the lengths of
the G1 (F), S (G), G2-M phases (H), and the full cell cycle (I) and the initial mass of the corresponding period in RPE-1 cells treated with 100 nM rapamycin. (J)
Correlations between cell mass and growth rate in the G1 (blue) and nonG1 (red) phases for RPE-1 cells treated with 100 nM rapamycin. (K) Kendall rank correlations
between the duration of indicated cell cycle phase and cell mass at the initiation of the respective phase, in untreated RPE-1 cells, RPE-1 treated with 50 nM palbociclib,
and RPE-1 treated with 100 nM rapamycin. (L) The correlation between the normalized slope of birth mass vs. cell cycle length correlation, λ0, and the normalized slope
of cell mass vs. growth rate correlation, α0, depicted for untreated HeLa and RPE-1 cells, as well as RPE-1 cells treated with palbociclib or rapamycin. The values of λ0 and
α0 used in this plot are listed in S7 Table. (M) The contribution of each control mechanism shown as the reduction in the simulated division mass CV when the respective
control mechanism is included compared to that without any control mechanisms. Simulation parameters were obtained from experimental data measured in untreated
HeLa and RPE-1 cells, as well as RPE-1 cells treated with palbociclib or rapamycin. The data underlying this figure and the scripts used to generate the plots are available
on the Open Science Framework at osf.io/3kyvw. CV, coefficient of variation; SEM, standard error of the mean.
https://doi.org/10.1371/journal.pbio.3002453.g005
compensatory effect between the regulation of cell cycle and growth rate (i.e., the strengths of
these regulatory processes tend to change in opposite directions). For example, when cell cycle
regulation was inhibited (e.g., by palbociclib), the modulation of growth rate became stronger,
and conversely, when growth rate regulation was inhibited (e.g., by rapamycin), the modula-
tion of cell cycle length became stronger. These findings highlight the compensatory roles
played by these 2 processes in maintaining cell mass homeostasis.
To illustrate further the compensatory roles of regulation on cell cycle and growth rate, we
developed a stochastic model to simulate changes in cell mass variation throughout the cell
cycle (Section 4 in S1 Text). In this model, we considered 3 factors that could contribute to the
increase of cell mass variation: variability in cell cycle length, variability in growth rate, and
noise in cell mass partition during mitotic division. For simplicity, we only considered
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
intercellular noise as the source of growth rate variability, which is due to stochasticity in the
partitioning of cellular contents during cell division, as previously discussed (S11C Fig and
Section 3.1 in S1 Text). As control mechanisms, we considered mass-dependent regulation of
the duration of G1 and nonG1 phases separately, and we also considered mass-dependent
growth modulation throughout the entire cell cycle. We chose all the parameters in this model
from our actual experimental data and evaluated the impact of each control mechanism by
comparing the cell mass CV at division with and without these control mechanisms. Notably,
we observed some discrepancies between the simulated division mass CV, incorporating all 3
control mechanisms, and the values measured in experiments (S8 Table). These may arise
from the simplification of variability in growth rate (S11C Fig and Section 4 in S1 Text), which
effectively influences cell mass variation (S13 Fig) but is quite challenging to estimate accu-
rately from experimental data. Nevertheless, these simulations largely reflect the relative signif-
icance of each control mechanism in maintaining cell mass homeostasis.
The model results indicate that in RPE-1 cells, the regulation of G1 length plays a slightly
greater role compared to nonG1 length regulation, but both are overshadowed by the modula-
tion of growth rate (Fig 5M). When the G1/S control is inhibited by palbociclib, the contribu-
tion of G1 length regulation slightly decreases, the contribution of nonG1 regulation slightly
increases, and the role of growth rate modulation becomes even more dominant (Fig 5M). On
the other hand, inhibiting growth with rapamycin leads to an increase in the dominance of G1
length regulation, with its contribution now comparable to that of growth rate modulation,
while the impact of nonG1 regulation becomes smaller (Fig 5M). In HeLa cells, the cell mass
variation is considerably smaller than that in RPE-1 cells (S8 Table) when not including any
control mechanisms, due to the lower variation in growth rate in HeLa cells. It is worth noting
that HeLa cells possess a mutated G1/S network. Its ranking of contributions from the 3 mech-
anisms is similar to the scenario observed in RPE-1 cells treated with palbociclib, which dis-
rupts the G1/S transition. Specifically, in HeLa cells, the contribution of growth rate
modulation outweighs that of nonG1 length regulation, which, in turn, outweighs that of G1
length regulation (Fig 5M).
These findings collectively reveal compensatory roles of cell cycle and growth rate regula-
tion in reducing cell mass variation, particularly distinguishing the regulation of G1 length
and the regulation of growth rate. Generally, growth rate modulation, rather than cell cycle
regulation, is the more dominant mechanism. When one feedback process is hindered, other
mechanisms become relatively stronger to maintain cell mass variation at a similar level.
Growth rate modulation, rather than cell cycle regulation, consistently plays the predominant
role in reducing cell mass CV, regardless of whether or not the cells possess an intact G1/S cir-
cuit. In the most extreme case, we studied when the growth rate is inhibited by rapamycin, the
contribution of growth rate modulation is on par with that of G1 length regulation. These
observations contradict the conventional size control models [1,14,19,44,58–62], which predict
that G1/S control is the primary contributor to size homeostasis in mammalian cells.
Other explanations for how a population of cells might reduce its cell mass
variation
We evaluated additional processes that could potentially contribute to the reduction in cell
mass CV but were not accounted for in our stochastic model. In principle, any process that
affects the likelihood of cell division or cell viability differentially in large and small cells could
influence the distribution of cell mass within a population. To estimate the importance of such
effects, we examined the rate of cell death and cell cycle arrest through long-term measure-
ments of cell growth and proliferation. During the 48 to 72-h duration of our cell
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
measurements, we defined cell cycle arrest events as instances where a cell remained in the
same cell cycle phase while its mass continued to increase throughout the experiment. Further-
more, cell death was identified by a sudden and drastic decrease in cell dry mass, suggesting
cell membrane permeabilization.
We found events of cell cycle arrest or cell death in the culture affected no more than 2% of
cells in all the conditions that were studied (S9 Table). In particular, neither cell cycle arrest
nor cell death occurred frequently enough to contribute significantly to cell mass homeostasis
in any of the experiments that we have described. It is worth noting that the remarkably low
frequency of cell cycle arrest in cells treated with rapamycin and palbociclib at the drug con-
centrations used in this study suggests that these drugs at low concentrations do not induce
quiescence or senescence at the population level (S9 Table). Furthermore, the concentrations
of these drugs did not appear to be toxic enough to cause significant cell death (S9 Table). One
intriguing observation was that some large RPE-1 cells treated with palbociclib experienced a
partial loss of cytoplasm during mitosis (S9 Table and S1 Movie). This cytoplasmic loss could
be attributed to incomplete cortical contraction during mitotic rounding [63]. The amount of
mass loss appeared to be random. Notably, these rare events, accounting for approximately
0.5% of cells, did not have a significant impact at the population level on cell mass homeostasis
in the presence of palbociclib.
It is worth noting that although these mechanisms were of negligible importance in the spe-
cific experimental setting of our study, they might still play a significant role in a tissue setting,
for example, during wound healing, regeneration, aging, and/or disease.
A picture of cell mass homeostasis in proliferating cells
Homeostasis refers to the maintenance of a balance between inherent noise in cellular pro-
cesses and feedback control mechanisms that correct for them. In proliferating cells, this noise
arises from stochastic variation in growth rate, cell cycle length, and cell mass partitioning dur-
ing mitosis. To reduce cell mass variation, mass-dependent regulation can occur through the
control of cell cycle progression, growth rate, or both.
To illustrate mass regulation graphically as a balance between noise and control mecha-
nisms, we have depicted the concept of cell mass homeostasis as a “teeter-totter” (Fig 6). Sto-
chastic noise and feedback control mechanisms are represented as opposing forces on either
side of the lever’s fulcrum; the sizes of the icons represent the importance of the processes, as
determined from the stochastic models (S8 Table). When these effects are balanced, the system
reaches a steady state. In cell lines like RPE-1, where the G1/S circuit is intact, the relative
importance of the control mechanisms can be ranked from greatest (heaviest on the teeter-tot-
ter) to smallest (lightest on the teeter-totter) as follows: growth rate modulation, G1 length reg-
ulation, and nonG1 length regulation. A perturbation of the system leads to changes in the
stochastic nature of the processes and affects the operation of specific control mechanisms.
When this happens, other control mechanisms compensate for these changes and restore the
balance. For example, when G1/S control is inhibited, either through pharmacological inhibi-
tors, such as palbociclib, or genetic mutations in the G1/S circuitry, as seen in HeLa cells, the
contribution of G1 length regulation is reduced. In response, nonG1 length regulation and
growth rate modulation become more significant. Conversely, when growth rate modulation
is inhibited, such as by rapamycin, G1 length regulation becomes more important, and growth
rate modulation contributes less.
Overall, the teeter-totter of cell mass homeostasis is robustly balanced through the compen-
satory interactions of these different control processes within the cell. It is likely that the coor-
dination and adjustment of these compensatory mechanisms at the molecular level are crucial
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
Fig 6. The teeter-totter model of cell mass homeostasis. Cell mass homeostasis requires a balance between stochastic noise and control
mechanisms. In unperturbed cells with an intact G1/S circuitry, the weights of control mechanisms from the heaviest to the lightest are the
growth rate modulation, G1 length regulation, and nonG1 length regulation. When G1/S control is perturbed, the impact of the G1 length
regulation becomes smaller, and the nonG1 length regulation and growth rate modulation become larger to compensate. When the
growth rate modulation is suppressed, the G1 length regulation plays a more prominent role in compensating for the reduced impact of
growth rate modulation.
https://doi.org/10.1371/journal.pbio.3002453.g006
for cellular survival under changing conditions. While our understanding of how these mecha-
nisms achieve balance has advanced, further study is needed to elucidate how they coordinate
and adapt their compensation at the molecular level to maintain balance under changed condi-
tions and how this plays out in health, disease, aging, etc.
Discussion
To summarize: in examining cell mass homeostasis, we found that stochastic variation in cell
mass in proliferating cells is tightly controlled throughout the cell cycle (Fig 2) via mass-depen-
dent regulation of cell growth rate (Fig 4) and mass-dependent regulation of cell cycle progres-
sion (Fig 3). Generally speaking, among the cell lines and cell cycle and cell growth inhibitors
that we have employed (including those previously studied and analyzed), we conclude that
the G1/S transition does not appear to be a privileged place where cell mass regulation is
imposed. Rather mass regulation occurs throughout the cell cycle phases. The compensation
that keeps stochastic variation of mass in check emerges from an interplay of these mecha-
nisms and results in effective cell mass regulation. Not only is homeostasis maintained, but it
is also maintained at high stringency, as indicated by the narrow distribution of cell mass at
birth (Fig 1). Furthermore, cell mass homeostasis is robust to changes in genetic background
and is resistant to manipulations of the G1/S transition or perturbation of mTOR activity (Fig
1). The birth size CVs measured in many proliferating bacterial, yeast, mammalian, and plant
cells fall in a relatively small range (from 11% to 25%) (S10 Table), which is comparable to the
birth weight CV of a human fetus [64]. Although it is not clear whether such strict control is
explicitly selected for during evolution or merely a by-product of some other selection [65,66],
cell size homeostasis appears to be highly regulated and presumably important. Though we
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
focused on cultured human cell lines in this study, the mechanisms underlying cell size
homeostasis, just as the mechanisms underlying the cell cycle itself, are likely to be conserved.
In this study, we utilized ceQPM [29] as a means of measuring cell dry mass, providing a
complementary approach to previous studies that focused on cell volume as an indicator of
cell size [3,7]. We found that many aspects of the behavior of cell mass, as directly measured by
ceQPM, were consistent with studies of cell volume, particularly those reported by Cadart and
colleagues, who obtained high-quality cell volume data [7]. For example, in line with their
observations, we also identified inverse correlations between initial mass and cell cycle phase
duration in both the G1 and nonG1 phases in HeLa cells (Fig 3), the existence of a minimal
duration of the G1 phase (Fig 3), the “adder”-like correlation between the birth and division
masses (Fig 3), and the coordination between mass-dependent cell cycle regulation and growth
rate modulation in maintaining cell mass homeostasis (Fig 5). This consistency is further sup-
ported by our recent findings that cell volume usually changes proportionally with cell mass in
cultured proliferating cells, except during mitosis, resulting in a narrow distribution of cell
mass density [67]. However, we were able to observe more detailed discrepancies in the regula-
tion of mass and volume growth. For example, while Cadart and colleagues reported that vol-
ume growth rate is dependent on cell volume at birth [7], we found that mass growth rate is
related to cell mass at any point of the cell cycle, and this relationship varies across different
cell cycle stages (Figs 4 and S8). Moreover, the noise in mass growth rate appears to affect the
slope of the correlation (S11 Fig), in contrast to Cadart and colleagues’ findings of noise pri-
marily impacting the intercept of volume growth rate [68]. These discrepancies may be attrib-
uted to inherent differences in the factors affecting mass or volume and the speed and
mechanisms by which cells respond to perturbations or fluctuations in mass or volume [69].
Aside from confirming previous discoveries, our findings took a significant step forward in
exploring mechanisms underlying cell mass homeostasis. Extensive data collection on large
populations of cells was possible thanks to the high-throughput of ceQPM [29]. From these
extensive measurements, we derived reliable correlations between cell mass, the durations of
cell cycle phases, and the growth rate. We studied these across multiple cell lines and under
various pharmacologic perturbations. We were able to fit such data to simple functions (Figs 3,
4, and 5), which facilitated our ability to derive quantitative models. These models, in turn,
facilitated our interpretation of the underlying cellular responses. For example, we showed
how G1, S, and G2 phases are each under negative regulation by cell mass in both transformed
and non-transformed cells (Fig 3). A particularly noteworthy discovery was the identification
of a minimum length for each phase of the cell cycle in large cells, which explains the limited
impact of cell cycle regulation on very large cells, leaving the underlying process to growth rate
modulation (Fig 3). We further demonstrated that growth rate is modulated differently in dif-
ferent cell types or cell lines (Fig 4). Such comprehensive characterization of growth regulation
was not previously possible without the extensive and precise measurements of cell mass and
growth rate by ceQPM [29]. When we perturbed cells by inhibiting the G1/S transition or sup-
pressing the growth rate (Fig 5), ceQPM enabled us to go beyond the qualitative phenomena
observed in previous studies [8,11,12]. It allowed us not only to determine the average changes
in cell mass, cell cycle phase duration, and growth rate but also to measure these qualities at
the single-cell level, tracking the individual cells over time. This enabled us to derive important
quantitative correlation functions. These functions in turn allowed us to write deterministic
equations, incorporate stochastic noise, and ultimately develop a stochastic model. With this
model, we could estimate the relative weight of each of the regulatory mechanisms employed
in maintaining cell mass homeostasis and finally deduce how the weights of these separate
mechanisms depend on each other (Fig 5).
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
One simple finding stands out. It has been generally assumed, and widely cited in review
articles and textbooks of biology, that G1 length regulation is the predominant or even the sole
mechanism controlling cell size during the cell cycle [1,14,19,44,58–62]. There was always an
appeal of this simple mechanism, as it made perturbation of the cell cycle at G1/S the whole
process for cell size control. We now can say that this is clearly not the case. Our current highly
quantitative studies involving at least hundreds of cells per condition demonstrated that, at
least for the cell lines we employed, the impact of G1 length regulation on constraining cell
mass CV within a proliferating cell population is much less significant than the modulation of
cells’ mass accumulation (growth) rate (Fig 5). This holds true for non-transformed cells with
intact G1/S control. Furthermore, even in the presence of growth inhibition induced by rapa-
mycin, the contribution of growth rate modulation to cell mass CV reduction is no less than
that of G1 length regulation.
Why would there be size-dependent growth rate regulation if regulation of cell cycle pro-
gression were sufficient to control cell size? With so many essential genes in the genome, it
seems like a weak argument to claim that having 2 separate mechanisms provides increased
security for survival. We propose instead that they serve 2 separate functions. Control of the
G1 length might be used primarily to set the cell size for a given cell type. In this view, the G1/
S transition is hard-wired into developmental pathways like the MAP kinase pathway or the
BMP pathway through proteins like TGFβ. By contrast, control of cell growth might be pri-
marily used for a different purpose: maintaining cell size homeostasis of any given cell type
against environmental or stochastic variation. It makes more sense that the targeted mean size
of a given cell type is controlled by a few key molecular players downstream of specific hor-
monal or nutrient signals or cellular differentiation. Those molecular players (such as CDK4/6
or other CDK inhibitors) were described as a cell size “dial” in a previous model by Tan and
colleagues [11]. However, once cells are programmed to adopt a defined size in their new state,
they would still require a mechanism to maintain size homeostasis around that new mean by
buffering against environmental or internal stochastic fluctuation. Consistent with the work
presented here (Fig 1) and studies in budding and fission yeasts [13,17], deletion or overex-
pression of the G1/S inhibitors change the mean size dramatically but have only limited effects
on the variation of cell size. Furthermore, systems that only act at a single gate for size variation
would fail to provide continuous feedback on size variation and would have difficulty correct-
ing noise introduced after that gate operates, which in this case is early in the cell cycle [70]. By
contrast, growth rate regulation, particularly sub-exponential growth, where growth rate is
proportional to cell mass but exhibits a slope smaller than that of exponential growth, proves
to be a highly effective means for reducing cell mass variation throughout the cell cycle (Fig 4
and Section 3 in S1 Text). The effectiveness of this mechanism is bolstered by its operation
throughout the entire cell cycle and in the whole cell size range. This form of regulation would
be more effective than growth rate modulation restricted to short periods of the cell cycle and
only in large cells, as suggested by previous studies [1,8,20,38,49]. Unraveling the determinant
factors that underlie the sub-exponential scaling between growth rate and cell mass will likely
shed light on the coordination between size-dependent biomass synthesis, nutrient transporta-
tion, and macromolecule destruction [71]. We can imagine that pathological conditions, such
as aging related diseases, may target growth rate regulation and therefore affect cells at differ-
ent stages of cell cycle or even non-growing cells.
Aside from the mass-dependent regulation on the G1 length and cell growth rate, the regu-
lation of nonG1 phase lengths also contributes significantly to the reduction of cell mass varia-
tion (Fig 5). This is presumably due to the fact that cell cycle phases outside of G1 have non-
negligible negative correlations with cell mass (Fig 3) and often occupy a larger portion of the
cell cycle than the G1 phase (S2 Table). The mechanisms regulating G2 length have been
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
mainly studied in fission yeast, where the G2/M transition acts as the major size control check-
point [17,72–74]. Mammalian cells share homologous components of this G2/M regulation
with fission yeast [75,76], suggesting that similar mechanisms might function during this stage
in mammalian cells. However, further investigation beyond citing simple homology will be
needed to confirm this possibility. The regulation of S phase length as a means for controlling
cell size in mammalian cells has been rarely explored. One potential mechanism of size-depen-
dent S phase length regulation could involve the control of the number of replication com-
plexes. If the number of forks were proportional to the total cell size, so that small cells made
fewer forks, this could serve to lengthen S phase [77]. If cell size were to affect the number of
active origins or DNA replication speed, it might also affect the level of DNA damage due to
the under-replicated regions [77–79]. Replication stress is not uncommon in normal cycling
populations, as evidenced by the presence of DNA lesions in more than 20% of G1 cells in
non-transformed cell lines [80]. If the occurrence of replication stress were influenced by cell
size and if it led to forms of DNA damage that could be resolved, it could potentially drive
tumorigenesis or senescence in a cell size-dependent manner, resulting in heterogeneous
behavior in a genetically uniform population. This scenario might hold clinical significance
and thus deserves further investigation. Additional research is needed to establish the relation-
ship between the probability of replication stress and cell size during S phase. Furthermore, the
actual mechanism of S phase length regulation could be more complicated than the size-
dependent replication fork number. The negative correlation between cell mass and S phase
length is strengthened in palbociclib-treated RPE-1 cells compared to untreated cells (Fig 5),
suggesting more complex crosstalk between the G1 and S phase regulation that cannot be fully
explained by the size-dependent replication fork number.
In line with previous research [7], we found that both RPE-1 and HeLa cells exhibit adder-
like behaviors (Fig 3I–3J). More specifically, they demonstrate sequential adder behaviors,
wherein each phase of their cell cycles can be mathematically expressed as an adder, with the
correlation between the masses at the beginning and the end of each phase having a slope close
to one (S7 Fig). Our focus in this study is not on their adherence to an adder model. Rather,
we emphasize the existence of size control mechanisms across all cell cycle phases. Such regula-
tion could manifest at multiple cell cycle checkpoints by controlling the duration of individual
cell cycle phases, operate throughout the cell cycle through continuous monitoring and adjust-
ing the rate of mass accumulation, or more likely, be a combination of both. If the time resolu-
tion of the measurements were sufficiently high, we might be able to observe that each fine
segment of the cell cycle follows an adder behavior. Such a mechanism would require that a
cell continually “knows” how large it is and how large it should be at any point of the cell cycle.
How might cells sense their size relative to a changing standard that changes with cell cycle
progression? How would such a mechanism respond differently in different cell types, differ-
ent nutrient conditions, and to pharmacological perturbations? A proposed mechanism of cell
size sensing relies on some form of disproportionality of molecular components or signals to
cell size. For example, cells might sense size through the sub-scaling of inhibitors or super-scal-
ing of activators to regulate their cell cycle length [6,10,44,81]. Cell mass accumulation requires
nutrient provision, transcription, translation, and degradation; any rate-limiting step might
serve as a size sensor. It has also been proposed that cells may sense size and modulate growth
rate by DNA limitation, cytoplasmic dilution, surface-to-volume ratio, sublinear proportional-
ity between metabolic rate and cell size, transport efficiency, and other such mechanisms
[20,70,82–84]. We have found that different cell lines modulate their growth rates differently.
It is of course plausible that each cell line we investigated employs a distinct size-sensing mech-
anism and a distinct mode of response of mass accumulation. However, it seems more likely
that all cell lines share a universal mechanism that allows various forms of growth rate
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
modulation under particular conditions. One potential candidate for this universal mechanism
would be the mTOR pathway, which governs biomass synthesis and responds to various
upstream signals [36,85]. Therefore, we suggest that an investigation of how the mTOR path-
way responds to cell size could be informative. Additionally, growth rate regulation exhibits
cell cycle-specific patterns and even intrinsic oscillations [29,48,50,51]. The likely coexistence
of multiple forms of regulation could complicate any investigation. Future studies might bene-
fit from isolating each mechanism, perhaps by identifying conditions where only one of the
processes is dominant. Situations such as cell cycle arrest and size enlargement (so called cellu-
lar senescence) triggered by DNA damage or other stresses are of particular interest in this
regard [44,86]. Such phenomena may help us disentangle size-dependent growth regulation
from other forms of cell cycle-dependent growth regulation, thus allowing us to focus on the
effects of cell size on growth rate using the methods we employed in this study.
In summary, the use of ceQPM to quantify single-cell dry mass, mass growth rate, and cell
cycle progression has provided the currently most accurate, complete, and quantitative
description of cell mass homeostasis in mammalian cells. In this paper, we have also showcased
the often-underappreciated power of phenomenological descriptions. Such descriptions have
been proven to be inherently powerful in physics and chemistry. The observed reduction in
the coefficient variation of cell mass within a proliferating population throughout the cell cycle
unequivocally rules out the possibility that cells control mass solely or principally by control-
ling the length of the G1 phase at the G1/S transition. While this result is far from a complete
answer to the problem of cell size homeostasis and does not yet provide specific molecular
mechanisms, it nevertheless can serve as a guide for future investigation. It redirects our focus
away from the G1/S transition or any specific cell cycle transitions in cell size homeostasis. We
propose instead focusing on the molecular-level mechanisms governing size-dependent regu-
lation of growth rate, as this appears to be the predominant player and holds greater promise
in elucidating how cells maintain a stable size distribution. Our findings, which reveal com-
pensatory responses to perturbing size, suggest the existence of previously underappreciated
regulatory pathways in cell size regulation. Specifically, we suggest that there is a need to exam-
ine how cell size feeds back on the anabolic or proteostatic machinery.
As of now, we are still in the early stage of describing the phenomenon of size homeostasis
in quantitative terms. These efforts prove that we have much to learn about the regulatory cir-
cuits that tell a cell how large it is and how large it should be at any given time or in any given
circumstance. Studying cell size homeostasis in cultured cells can lay the groundwork for
future investigations into size control in vivo and its implications for disease, thereby expand-
ing our understanding of cell physiology.
Materials and methods
Cell culture and chemical treatment
HeLa mAG-hGem, RPE-1 mAG-hGem, HT1080 mAG-hGem mKO2-hCdt1, and HeLa
mAG-hGEM DNA-ligase-dsRed cells were made in previous studies by our laboratory [38,87].
U2OS mAG-hGem and Saos-2 mAG-hGEM cells were generated by lentivirus infection in
this study. Lentivirus carrying mTurquoise2-SLBP was purchased from Addgene (83842-LV)
to make HeLa mAG-hGem mTurquoise2-SLBP, RPE-1 mAG-hGem mTurquoise2-SLBP, and
HeLa mAG-hGEM DNA-ligase-dsRed mTurquoise2-SLBP. Single clones of stable expression
were selected for each cell line. Cells were incubated at 37˚C with 5% CO2 in Dulbecco’s Modi-
fied Eagle Medium (DMEM) (11965; Thermo Fisher Scientific) with 25 mM HEPES
(15630080; Thermo Fisher Scientific) and 10 mM sodium pyruvate (11360070; Thermo Fisher
Scientific), or McCoy’s 5A Medium (16600082; Thermo Fisher Scientific). Both media were
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
supplemented with 10% fetal bovine serum (FBS) (16000044; Thermo Fisher Scientific) and
1% penicillin/streptomycin (15140122; Thermo Fisher Scientific). Palbociclib was purchased
from Selleckchem (PD-0332991) and rapamycin was purchased from LC Laboratories (R-
5000).
Live cell imaging
Cells were imaged at 10× magnification by an Eclipse Ti microscope with the Perfect Focus
System (PFS) (Nikon, Japan) and an SID4BIO camera (Phasics, France). Nikon NIS-Elements
AR ver. 4.13.0.1 software with the WellPlate plugin was used to acquire images. A home-made
incubation chamber was used to maintain a constant environment of 36˚C and 5% CO2 dur-
ing imaging. Cells were seeded on 6-well glass bottom plates (P06G-1.5-14-F; MatTek) at a
density of 1,500 cells/cm2 3 h before long-term imaging or 3,500 cells/cm2 16 h before short-
term imaging. Before time-lapse imaging was started, mineral oil (M8410; Millipore Sigma)
was added into each well to prevent media evaporation. In the long-term experiments studying
the cell cycle regulation, cells were monitored for 48 or 72 h. In the short-term experiments
studying growth rate modulation, cells were monitored for 3 h. For all experiments, the phase
images were acquired every 30 min, and the fluorescence images were acquired every 1 h.
Cell fixation and cell cycle identification
After the short-term time-lapse imaging, the mineral oil was gently removed by aspiration.
Cells were fixed with 4% paraformaldehyde (RT 157–8; Electron Microscopy Sciences) and
stained with Hoechst 33342 (62249; Thermo Fisher Scientific) at a final concentration of 1 μm.
The cells were then imaged by QPM again to identify their cell cycle stages.
QPM image processing and data analysis
The QPM images were processed by the ceQPM method developed previously [29] and con-
ducted on the O2 high-performance computing cluster at Harvard Medical School.
To test the significance of the minimal cell cycle phase length, we fitted the binned correla-
tions between the initial mass and cell cycle phase duration in Figs 3 and 5 with 2 alternative
models. A linear model y = a1x+b1, and a bilinear model
y ¼ a2x þ b2ðx � x0Þ; y ¼ a2x0 þ b2ðx > x0Þ, where y is the cell cycle phase length, x is the ini-
tial mass, a1, b1, a2, b2, and x0 are the fitting parameters. We used the Akaike information crite-
rion (AIC) to compare the goodness of fits. A smaller AIC indicates a better fit, and the
relative likelihood p_linear or p_bilinear predicts the probability that the alternative model is a
better fit when the linear or bilinear model has the smaller AIC [88]. Since the correlations
between the initial mass and cell cycle phase duration were not linear, we utilized the Kendall’s
rank correlation coefficient to represent the correlation strength. This coefficient is more suit-
able for our data as it does not assume a linear relationship, unlike the widely used Pearson
correlation coefficient [89].
To evaluate whether the cell cycle control could explain the adder behavior in Fig 3I and 3J,
we assumed cells grow exponentially at the rate of α = ln(2)/DT, where DT is the averaged cell
cycle length. The division mass could be predicted by md = mbeαT, T = f(mb), where f is the
best-fitted function in the alternative models of cell cycle length versus birth mass.
To fit the binned correlation between growth rate and cell mass in Figs 4 and 5, we
employed 2 alternative models: a linear model dm
dt
dm
dt
Þ þ gm þ amt þ b (cid:0) gmt
¼ am þ b
ð
Þ m < mt
ð
ð
¼ am þ b and a bilinear model
ð
Þ m � mt
Þ, where y is the growth rate, x is
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
the cell mass, α, β, a, b, γ, and mτ are the fitting parameters. We used the AIC to estimate the
goodnesses of fits.
Supporting information
S1 Text. Models used in this study.
(DOCX)
d þ Q2; CV2
S1 Fig. The left- and right-hand sides of Eq 1 and their difference quantified in HeLa cells.
d is indicated in black, Q2 is indicated in white; error bars are the
In the term, CV2
standard deviation of 8 experiments. The data underlying this figure and the scripts used to
generate the plots are available on the Open Science Framework at osf.io/3kyvw.
(EPS)
S2 Fig. RPE-1 and U2OS sensitivity to palbociclib. The mean cell mass of the population (A)
and the percentage of G1 cells quantified by low Geminin expression (B) after being treated in
palbociclib at the indicated concentrations for 2 days. Dashed black lines show the concentra-
tion (50 nM) chosen for the analyses in this study. The data underlying this figure and the
scripts used to generate the plots are available on the Open Science Framework at osf.io/
3kyvw.
(EPS)
S3 Fig. mAG-hGeminin (A) and cell mass (B) trajectories of a representative HeLa cell.
Dashed lines denote the timing of the G1/S transition identified by the initiation of geminin
accumulation. The data underlying this figure and the scripts used to generate the plots are
available on the Open Science Framework at osf.io/3kyvw.
(EPS)
S4 Fig. Segregation of cells into stages along the cell cycle mean path. (A) The 2D plane of
the logarithmic scale of mAG-hGeminin intensity, log(Geminin), and the intensity of Hoechst
fluorescence, DNA, in asynchronous RPE-1 cells. Black contours indicate cell number density;
the solid red line is the cell cycle mean path; filled red circles show the centroids of the chosen
stages along the mean path; the stages are evenly separated in the time axis computed by the
ERA method [38]. (B–E) The averages of log(Geminin) (blue) and DNA content (red) change
with cell cycle progression in different cell lines. X-axes are calculated by the ERA method
[38]. The cell cycle is segregated into 4 phases indicated by color-shaded areas: the early G1
phase from birth to the onset of geminin accumulation, the late G1 phase from the initiation of
geminin accumulation to the onset of DNA replication, the S phase covering DNA replication,
and the G2-M phase where geminin and DNA accumulation plateau. (F) Error in computed
cell mass CV caused by inaccurate cell cycle stage identification. The cell dry mass and cell
cycle markers data were from Fig 2D. We added 10% random Gaussian noise to each cell’s
position in the log(Geminin)-DNA plane. The cells were reassigned to cell cycle stages accord-
ing to their new positions, and the cell mass CV of each stage was computed. The solid black
line and error bars indicate the mean and standard deviation of computed cell mass CVs of
100 simulations; the first and last stages were truncated due to having much higher cell num-
bers and variations than other stages. (G, I) The 2D planes of log(Geminin) and DNA content
in RPE-1 cells in 50 nM palbociclib (G) or 100 nM rapamycin (I). The red line and filled circles
are the cell cycle mean path and centroids of stages calculated from the treated cells. (H, J) The
averages of log(Geminin) (blue) and DNA content (red) change with cell cycle progression in
RPE-1 cells in 50 nM palbociclib (H) or 100 nM rapamycin (J). The data underlying this figure
and the scripts used to generate the plots are available on the Open Science Framework at osf.
PLOS Biology | https://doi.org/10.1371/journal.pbio.3002453 January 5, 2024
25 / 34
PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
io/3kyvw.
(EPS)
S5 Fig. The geminin and SLBP markers faithfully report the timing and duration of S
phase. (A) The trajectories of dsRed-DNA-ligase I foci, mAG-hGeminin, and mTurquoi-
se2-SLBP in a representative HeLa cell. Open circles are the raw data; solid colored lines are
the spline interpolations; dashed yellow and pink lines mark the S phase start and end, respec-
tively. (B–D) Correlations between the S phase start (B), end (C), and duration (D) identified
by the dsRed-DNA-ligase foci or mAG-hGeminin and mTurquoise2-SLBP combined. Each
black dot is one observation; Solid red lines are the best linear fit. Texts indicate the functions
of the solid red lines and the Pearson correlations of the black dots. The data underlying this
figure and the scripts used to generate the plots are available on the Open Science Framework
at osf.io/3kyvw.
(EPS)
S6 Fig. The impact of minimal cell cycle length on cell mass homeostasis, indicated by the
birth mass CV (A) and mean birth mass (B) changing with simulated generations. Differ-
ent colors show the percentage of cells affected by the minimal cell cycle length in the popula-
tion of the first generation of simulations. The data underlying this figure and the scripts used
to generate the plots are available on the Open Science Framework at osf.io/3kyvw.
(EPS)
S7 Fig. The sequential adder behavior in RPE-1 and HeLa cells. (A, D) The correlations
between birth mass and mass at G1/S in RPE-1 (A) and HeLa (D) cells. (B, E) The correlations
between mass at G1/S and mass at S/G2 in RPE-1 (B) and HeLa (E) cells. (C, F) The correla-
tions between mass at S/G2 and division mass in RPE-1 (C) and HeLa (F) cells. Each gray dot
is an observation; black squares are the average of each cell mass bin; error bars are the stan-
dard error of means (SEMs). Solid black lines are the best linear fits of the gray dots; texts indi-
cate the functions of the solid black lines. The data underlying this figure and the scripts used
to generate the plots are available on the Open Science Framework at osf.io/3kyvw.
(EPS)
S8 Fig. Growth rate modulation in HeLa cells. (A) The correlation between cell mass and
growth rate in HeLa cells when pooling all cells together. Each gray dot is an observation in the
3-h measurements, n = 18,334. Black squares are the median growth rate of each mass bin;
error bars are SEMs. The solid black line is the best fit of the black squares (S5 Table). The
dashed black line indicates exponential growth. (B, C) The correlations between cell mass and
growth rate in HeLa cells in 4 cell cycle phases (B) and one fine stage of the cell cycle (C). The
stages were determined by log(Geminin) and DNA using the ERA method [38], as indicated
in S4C Fig. Filled squares are the median growth rate of each mass bin; error bars are SEMs.
The solid lines are the best fit of the filled squares (S5 Table). The dashed black line in (B) indi-
cates exponential growth. (D) The slope of the linear relationship between cell mass and
growth rate plotted against cell cycle progression. The short-dashed line indicates the expected
slope for exponential growth. The data underlying this figure and the scripts used to generate
the plots are available on the Open Science Framework at osf.io/3kyvw.
(EPS)
S9 Fig. Specific growth rate changes with cell cycle progression in RPE-1 (A) and HeLa
cells (B) in G1 (blue) and nonG1 (red) phases. Since the binned correlation could be affected
by inspection bias [52], we investigated how the specific growth rate (growth rate divided by
mass) changed with cell cycle progression from the long-term trajectories as recommended by
PLOS Biology | https://doi.org/10.1371/journal.pbio.3002453 January 5, 2024
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PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
Kar and colleagues [52]. We arbitrarily assumed the G1 or nonG1 phase each occupies half of
the cell cycle when normalizing the length of the growth trajectories. Solid blue and red lines
are the means of the normalized growth trajectories of the G1 and nonG1 segments; the
shaded areas indicate SEM. Dashed lines are the expected curves of exponential growth; short-
dashed lines are the expected curves of linear growth, assuming the cells behave like an adder.
The data underlying this figure and the scripts used to generate the plots are available on the
Open Science Framework at osf.io/3kyvw.
(EPS)
S10 Fig. Simulation results for the sub-exponential growth rate modulation. (A, C, F) Con-
tour plots illustrating the rate of change in cell mass CV at the beginning of the cell cycle (t0 =
0) when assuming CVα0 = CVβ0 (A), CVβ0 = 0 (C), or CVα0 = 0 (F), respectively. Here, μα0 repre-
sents the mean of α0. (B, D, G) Contour plots illustrating the rate of change in cell mass CV at
the end of the cell cycle (t0 = 1) when assuming CVα0 = CVβ0 (B), CVβ0 = 0 (D), or CVα0 = 0 (G),
respectively. (E, H) Contour plots illustrating the overall change in cell mass CV throughout
the cell cycle when assuming CVβ0 = 0 (E), or CVα0 = 0 (H), respectively. Solid circles indicate
the corresponding positions in the contour plots when adopting parameter values from the
experimental observations of RPE-1 and HeLa cells. The data underlying this figure and the
scripts used to generate the plots are available on the Open Science Framework at osf.io/
3kyvw.
(EPS)
S11 Fig. Estimating the variability in α0 for RPE-1 and HeLa cells. (A, B) The variability of
the specific growth rate, defined as the growth rate divided by cell mass, does not change with
cell mass for RPE-1 (A) and HeLa (B) cells. Blue squares and lines indicate the means and stan-
dard deviations of live cell growth trajectories, which are binned by cell mass. The black lines
show ð1 � �CV Þ �gr j, where �CV is the average CV in specific growth rate for all cell mass bins,
and (cid:0) gr j is the average specific growth rate for each bin. (C) Schematic illustrating the defini-
tions of intercellular and intracellular variability in α0. Solid lines are representative live cell
growth trajectories. Dashes lines represent the means of each trajectory. Intercellular variabilty
is defined as the variaiton among the means of each trajectories, while intracellular variability
is defined as the fluctruation within individual trajectories. The data underlying this figure and
the scripts used to generate the plots are available on the Open Science Framework at osf.io/
3kyvw.
(EPS)
t
, when applying variability
t (C), or equal variability to all 3 parameters (D).
S12 Fig. Simulation results for the Bilinear growth rate modulation. (A–D) Three-dimen-
sional (3D) volumetric plots showing how the change in cell mass CV throughout the cell cycle
responds to the means of γ0 and m0
t, represented by μα0 and mm0
(CV) to only 1 parameter of α0 (A), γ0 (B), m0
The slice planes are orthogonal to the CV axis at CV = 0.2. (E, F) Contour plots illustrating the
change in cell mass CV during the G1 (E) and nonG1 phases (F) with the means of γ0 and m0
t
when assuming a 30% CV in α0. (G, H) Contour plots illustrating the change in cell mass CV
during the G1 (G) and nonG1 phases (H) with means of γ0 and m0
t when assuming a 40% CV
in α0. Solid circles in (E–H) indicate the corresponding positions in the contour plots when
adopting parameter values from the experimental data. The data underlying this figure and the
scripts used to generate the plots are available on the Open Science Framework at osf.io/
3kyvw.
(EPS)
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27 / 34
PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
S13 Fig. Impact of growth rate variability on division mass CV, CV(mi(Ti)), in the stochas-
tic model. The stochastic model is described in Section 4, Scenario IX in S1 Text. All parame-
ter values used in this simulation are listed in the table at the end of Section 4, with the
exception of CVgr, which is varied in this simulation. Solid blue lines indicate the simulation
results. Filled blue circles are the division mass CV when simulated with the CVgr estimated
from experimental data. Dashed black lines represent the division mass CV measured in
experiments. The data underlying this figure and the scripts used to generate the plots are
available on the Open Science Framework at osf.io/3kyvw.
(EPS)
S1 Table. Characteristics of the human cell lines used in this study.
(DOCX)
S2 Table. The durations of cell cycle phases for HeLa, RPE-1, RPE-1 in 100 nM rapamycin
or 50 nM palbociclib at cell mass homeostasis. MAD is the median absolute deviation, and
nMAD is MAD normalized by the median in robust statistics.
(DOCX)
S3 Table. Comparing cell cycle phase durations and mass versus phase length correlations
with and without the mTurquoise2-SLBP marker in HeLa cells.
(DOCX)
S4 Table. Comparison of the linear and bilinear fits for the cell mass vs. cell cycle phase
length correlations. The significantly better fits (p_bilinear or p_linear < 0.05) and the signifi-
cant negative correlations (p < 0.05) are highlighted.
(DOCX)
S5 Table. Comparison of the linear and bilinear fits for the cell mass vs. growth rate corre-
lations. The significantly better fits (p_bilinear or p_linear < 0.05) are highlighted.
(DOCX)
S6 Table. The normalized fitting parameters for the cell mass vs. growth rate correlations
for different cell lines. For correlations fitted better by the linear model, dm
dt
normalized parameters α0 and β0 are listed in the table, with α0 = α<T>, b0 ¼ b <T>
<T> and <mb> are the means of cell cycle length and cell birth mass, respectively. For expo-
nential growth, α0 = ln2 ~= 0.693. For correlations fitted better by the bilinear model,
¼ am þ b
ð
dm
dt
b0, γ0, and m0
The correlation slopes, α0, a0, and γ0, lower than 0.75 or higher than 1.25-fold (arbitrarily cho-
sen thresholds) of ln2 were highlighted. SE and BI denote the type of growth rate modulation,
where SE stands for sub-exponential and BI stands for bilinear.
(DOCX)
Þ þ gm þ amt þ b (cid:0) gmt
t are listed in the table, with a0 = a<T>, b0 ¼ b <T>
Þ, the normalized parameters a0,
<mb> ; g0 ¼ g < T >; m0
<mb>.
¼ am þ b, the
<mb>, where
ð
Þ m < mt
ð
Þ m � mt
t ¼ mt
ð
S7 Table. The values of λ0 and α0 used in Fig 5L, for untreated HeLa and RPE-1 cells, as
well as RPE-1 cells treated with 50 nM palbociclib or 100 nM rapamycin.
(DOCX)
S8 Table. Contribution of each factor to cell mass variation, as indicated by the division
mass CV simulated using the stochastic model in Section 4 in S1 Text. The values reported
in this table are the average of division mass CVs obtained from 50 simulations.
(DOCX)
PLOS Biology | https://doi.org/10.1371/journal.pbio.3002453 January 5, 2024
28 / 34
PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
S9 Table. The frequencies of cell death, cell cycle arrest, and cytoplasmic loss observed in
the long-term measurements in HeLa, RPE-1, RPE-1 in 100 nM rapamycin, and RPE-1 in
50 nM palbociclib when cells have reached cell mass homeostasis.
(DOCX)
S10 Table. Birth size CVs, division size CVs, and DA stds. reported in the literature.
(DOCX)
S1 Movie. Time-lapse quantitative phase images of RPE-1 cells in 50 nM palbociclib; the
time interval is 30 min; the yellow arrow indicates the lost cytoplasmic mass of a mitotic
cell (red arrow); the scale bar indicates 100 μm.
(GIF)
Acknowledgments
We thank the Nikon Imaging Center at Harvard Medical School for sharing its resources. We
thank the Research Computing Group at Harvard Medical School for providing support for
the O2 Computing Cluster for imaging processing and data storage. We thank Johan Paulsson,
Ariel Amir, Prathitha Kar, Ethan Levien, Ahmed Rattani, Wenzhe Ma, Gabriel Neurohr,
Simon Gemble, and Renata Basto for insightful suggestions. We thank William Ratzan for
proofreading the manuscript.
Author Contributions
Conceptualization: Xili Liu, Marc W. Kirschner.
Data curation: Xili Liu.
Formal analysis: Xili Liu, Jiawei Yan.
Funding acquisition: Marc W. Kirschner.
Investigation: Xili Liu.
Methodology: Xili Liu.
Writing – original draft: Xili Liu, Jiawei Yan, Marc W. Kirschner.
Writing – review & editing: Xili Liu, Marc W. Kirschner.
References
1. Ginzberg MB, Kafri R, Kirschner M. On being the right (cell) size. Science [Internet]. 2015; 348
(6236):1245075–1245075. Available from: http://www.sciencemag.org/cgi/doi/10.1126/science.
1245075.
2. Killander D, Zetterberg a. A quantitative cytochemical investigation of the relationship between cell
mass and initiation of DNA synthesis in mouse fibroblasts in vitro. Exp Cell Res [Internet]. 1965 Oct; 40
(1):12–20. Available from: http://www.ncbi.nlm.nih.gov/pubmed/5838935. https://doi.org/10.1016/
0014-4827(65)90285-5 PMID: 5838935
3. Varsano G, Wang Y, Wu M, Varsano G, Wang Y, Wu M. Probing Mammalian Cell Size Homeostasis by
Channel-Assisted Cell Reshaping. Cell Rep [Internet]. 2017; 20(2):397–410. https://doi.org/10.1016/j.
celrep.2017.06.057 PMID: 28700941
4. Xie S, Skotheim JM. A G1 Sizer Coordinates Growth and Division in the Mouse Epidermis. Curr Biol
[Internet]. 2020; 30(5):916–924.e2. https://doi.org/10.1016/j.cub.2019.12.062 PMID: 32109398
5. Dolznig H, Grebien F, Sauer T, Beug H, Mu¨ llner EW. Evidence for a size-sensing mechanism in animal
cells. Nat Cell Biol [Internet]. 2004 Sep [cited 2012 Dec 5]; 6(9):899–905. Available from: http://www.
ncbi.nlm.nih.gov/pubmed/15322555. https://doi.org/10.1038/ncb1166 PMID: 15322555
PLOS Biology | https://doi.org/10.1371/journal.pbio.3002453 January 5, 2024
29 / 34
PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
6.
Zatulovskiy E, Zhang S, Berenson DF, Topacio BR, Skotheim JM. Cell growth dilutes the cell cycle
inhibitor Rb to trigger cell division. Science (80-) [Internet]. 2020 Jul 24; 369(6502):466–71. Available
from: http://science.sciencemag.org/. https://doi.org/10.1126/science.aaz6213 PMID: 32703881
7. Cadart C, Monnier S, Grilli J, Sa´ez PJ, Srivastava N, Attia R, et al. Size control in mammalian cells
involves modulation of both growth rate and cell cycle duration. Nat Commun [Internet]. 2018; 9(1).
https://doi.org/10.1038/s41467-018-05393-0 PMID: 30115907
8. Ginzberg MB, Chang N, Kafri R, Kirschner MW. Cell size sensing in animal cells coordinates anabolic
growth rates and cell cycle progression to maintain cell size uniformity. Elife [Internet]. 2018;(1):123851
+. https://doi.org/10.7554/eLife.26957 PMID: 29889021
9.
10.
11.
12.
Zhang S, Zatulovskiy E, Arand J, Sage J, Skotheim JM. The cell cycle inhibitor RB is diluted in G1 and
contributes to controlling cell size in the mouse liver. Front Cell Dev Biol [Internet]. 2022 Aug 25; 10.
Available from: https://www.frontiersin.org/articles/10.3389/fcell.2022.965595/full. https://doi.org/10.
3389/fcell.2022.965595 PMID: 36092730
Lanz MC, Zatulovskiy E, Swaffer MP, Zhang L, Ilerten I, Zhang S, et al. Increasing cell size remodels
the proteome and promotes senescence. Mol Cell [Internet]. 2022 Sep; 82(17):3255–3269.e8. Avail-
able from: https://linkinghub.elsevier.com/retrieve/pii/S1097276522007134. https://doi.org/10.1016/j.
molcel.2022.07.017 PMID: 35987199
Tan C, Ginzberg MB, Webster R, Iyengar S, Liu S, Papadopoli D, et al. Cell size homeostasis is main-
tained by CDK4-dependent activation of p38 MAPK. Dev Cell [Internet]. 2021 May;1–14. https://doi.org/
10.1016/j.devcel.2021.04.030 PMID: 34022133
Liu S, Ginzberg MB, Patel N, Hild M, Leung B, Li Z, et al. Size uniformity of animal cells is actively main-
tained by a p38 MAPK-dependent regulation of G1-length. Elife [Internet]. 2018 Mar 29; 7(April):1–27.
Available from: https://elifesciences.org/articles/26947. https://doi.org/10.7554/eLife.26947 PMID:
29595474
13. Chen Y, Zhao G, Zahumensky J, Honey S, Futcher B. Differential Scaling of Gene Expression with Cell
Size May Explain Size Control in Budding Yeast. Mol Cell [Internet]. 2020; 78(2):359–370.e6. https://
doi.org/10.1016/j.molcel.2020.03.012 PMID: 32246903
14.
Zetterberg A, Larsson O. Kinetic analysis of regulatory events in G1 leading to proliferation or quies-
cence of Swiss 3T3 cells. Proc Natl Acad Sci U S A [Internet]. 1985 Aug 1; 82(16):5365–9. Available
from: http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=390569&tool=
pmcentrez&rendertype=abstract. https://doi.org/10.1073/pnas.82.16.5365 PMID: 3860868
15. Araujo AR, Gelens L, Sheriff RSM, Santos SDM. Positive Feedback Keeps Duration of Mitosis Tempo-
rally Insulated from Upstream Cell-Cycle Events. Mol Cell [Internet]. 2016; 64(2):362–375. https://doi.
org/10.1016/j.molcel.2016.09.018 PMID: 27768873
16. Garmendia-Torres C, Tassy O, Matifas A, Molina N, Charvin G. Multiple inputs ensure yeast cell size
homeostasis during cell cycle progression. Elife [Internet]. 2018 Jul 4; 7:1–27. Available from: https://
elifesciences.org/articles/34025. https://doi.org/10.7554/eLife.34025 PMID: 29972352
17. Sveiczer A, Novak B, Mitchison JM. The size control of fission yeast revisited. J Cell Sci [Internet]. 1996
Dec; 109(Pt 1):2947–57. Available from: http://www.ncbi.nlm.nih.gov/pubmed/9013342. https://doi.org/
10.1242/jcs.109.12.2947 PMID: 9013342
18.
19.
Turner JJ, Ewald JC, Skotheim JM. Cell Size Control in Yeast. Curr Biol [Internet]. 2012 May [cited
2012 May 7]; 22(9):R350–9. Available from: http://linkinghub.elsevier.com/retrieve/pii/
S0960982212001923. https://doi.org/10.1016/j.cub.2012.02.041 PMID: 22575477
Zatulovskiy E, Skotheim JM. On the Molecular Mechanisms Regulating Animal Cell Size Homeostasis.
Trends Genet [Internet]. 2020; 36(5):360–72. https://doi.org/10.1016/j.tig.2020.01.011 PMID:
32294416
20. Neurohr GE, Terry RL, Lengefeld J, Bonney M, Brittingham GP, Moretto F, et al. Excessive Cell Growth
Causes Cytoplasm Dilution And Contributes to Senescence. Cell [Internet]. 2019 Feb; 176(5):1083–
1097.e18. Available from: http://www.ncbi.nlm.nih.gov/pubmed/30739799. https://doi.org/10.1016/j.
cell.2019.01.018 PMID: 30739799
21. Si F, Le Treut G, Sauls JT, Vadia S, Levin PA, Jun S. Mechanistic Origin of Cell-Size Control and
Homeostasis in Bacteria. Curr Biol [Internet]. 2019; 29(11):1760–1770.e7. https://doi.org/10.1016/j.
cub.2019.04.062 PMID: 31104932
22.
Zlotek-Zlotkiewicz E, Monnier S, Cappello G, Le Berre M, Piel M. Optical volume and mass measure-
ments show that mammalian cells swell during mitosis. J Cell Biol [Internet]. 2015; 211(4):765–774.
Available from: http://jcb.rupress.org/content/211/4/765.abstract. https://doi.org/10.1083/jcb.
201505056 PMID: 26598614
23. Cooper KL, Oh S, Sung Y, Dasari RR, Kirschner MW, Tabin CJ. Multiple phases of chondrocyte
enlargement underlie differences in skeletal proportions. Nature [Internet]. 2013 Mar 13 [cited 2013 Mar
PLOS Biology | https://doi.org/10.1371/journal.pbio.3002453 January 5, 2024
30 / 34
PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
14]; 495(7441):375–8. Available from: http://www.nature.com/doifinder/10.1038/nature11940. PMID:
23485973
24. Son S, Kang JH, Oh S, Kirschner MW, Mitchison TJ, Manalis S. Resonant microchannel volume and
mass measurements show that suspended cells swell during mitosis. J Cell Biol [Internet]. 2015; 211
(4):757–763. Available from: http://www.jcb.org/cgi/doi/10.1083/jcb.201505058. PMID: 26598613
25. Venkova L, Vishen AS, Lembo S, Srivastava N, Duchamp B, Ruppel A, et al. A mechano-osmotic feed-
back couples cell volume to the rate of cell deformation. Elife [Internet]. 2022; 11:2021.06.08.447538.
Available from: https://doi.org/10.1101/2021.06.08.447538%0Ahttps://www.biorxiv.org/content/10.
1101/2021.06.08.447538v2%0Ahttps://www.biorxiv.org/content/10.1101/2021.06.08.447538v2.
abstract.
26. Godin M, Delgado FF, Son S, Grover WH, Bryan AK, Tzur A, et al. Using buoyant mass to measure the
growth of single cells. Nat Methods [Internet]. 2010 [cited 2013 Jan 10]; 7(5):387–90. Available from:
http://www.nature.com/nmeth/journal/vaop/ncurrent/full/nmeth.1452.html. https://doi.org/10.1038/
nmeth.1452 PMID: 20383132
27.
Zangle TA, Teitell MA. Live-cell mass profiling: an emerging approach in quantitative biophysics. Nat
Methods [Internet]. 2014; 11(12):1221–1228. Available from: http://www.nature.com/doifinder/10.1038/
nmeth.3175. PMID: 25423019
28. Popescu G, Park K, Mir M, Bashir R. New technologies for measuring single cell mass. Lab Chip [Inter-
net]. 2014; 14(4):646–652. Available from: http://xlink.rsc.org/?DOI=C3LC51033F. https://doi.org/10.
1039/c3lc51033f PMID: 24322181
29.
Liu X, Oh S, Peshkin L, Kirschner MW. Computationally enhanced quantitative phase microscopy
reveals autonomous oscillations in mammalian cell growth. Proc Natl Acad Sci U S A [Internet]. 2020
Nov 3; 117(44):27388–99. Available from: http://www.pnas.org/lookup/doi/10.1073/pnas.2002152117.
PMID: 33087574
30. Huh D, Paulsson J. Random partitioning of molecules at cell division. Proc Natl Acad Sci U S A [Inter-
net]. 2011 Sep 6; 108(36):15004–9. Available from: https://pnas.org/doi/full/10.1073/pnas.1013171108.
PMID: 21873252
31. Scott SJ, Suvarna KS, D’Avino PP. Synchronization of human retinal pigment ephitilial-1 (RPE-1) cells
in mitosis. J Cell Sci [Internet]. 2020 Jan 1; Available from: https://journals.biologists.com/jcs/article/doi/
10.1242/jcs.247940/266615/Synchronization-of-human-retinal-pigment.
32. Sung Y, Tzur A, Oh S, Choi W, Li V, Dasari RR, et al. Size homeostasis in adherent cells studied by syn-
thetic phase microscopy. Proc Natl Acad Sci U S A [Internet]. 2013 Oct 8 [cited 2014 Mar 21]; 110
(41):16687–92. Available from: http://www.ncbi.nlm.nih.gov/pubmed/24065823. https://doi.org/10.
1073/pnas.1315290110 PMID: 24065823
33.
Fry DW, Harvey PJ, Keller PR, Elliott WL, Meade M, Trachet E, et al. Specific inhibition of cyclin-depen-
dent kinase 4/6 by PD 0332991 and associated antitumor activity in human tumor xenografts. Mol Can-
cer Ther [Internet]. 2004 Nov; 3(11):1427–38. Available from: http://www.ncbi.nlm.nih.gov/pubmed/
15542782. PMID: 15542782
34. Morgan D. The cell cycle: principles of control. Oxford Univesity Press; 2007.
35.
Li J, Kim SG, Blenis J. Rapamycin: One drug, many effects. Cell Metab [Internet]. 2014; 19(3):373–9.
https://doi.org/10.1016/j.cmet.2014.01.001 PMID: 24508508
36. Saxton RA, Sabatini DM. mTOR Signaling in Growth, Metabolism, and Disease. Cell Cell Press. 2017;
168:960–976.
37. Sakaue-Sawano A, Kurokawa H, Morimura T, Hanyu A, Hama H, Osawa H, et al. Visualizing spatiotem-
poral dynamics of multicellular cell-cycle progression. Cell [Internet]. 2008 Feb 8 [cited 2013 Feb 10];
132(3):487–98. Available from: http://www.ncbi.nlm.nih.gov/pubmed/18267078. https://doi.org/10.
1016/j.cell.2007.12.033 PMID: 18267078
38. Kafri R, Levy J, Ginzberg MB, Oh S, Lahav G, Kirschner MW. Dynamics extracted from fixed cells
reveal feedback linking cell growth to cell cycle. Nature [Internet]. 2013 Feb 27 [cited 2013 Feb 27]; 494
(7438):480–3. Available from: http://www.nature.com/doifinder/10.1038/nature11897. PMID: 23446419
39. Bajar BT, Lam AJ, Badiee RK, Oh Y-H, Chu J, Zhou XX, et al. Fluorescent indicators for simultaneous
reporting of all four cell cycle phases. Nat Methods [Internet]. 2016 Dec 31; 13(12):993–6. Available
from: https://www.nature.com/articles/nmeth.4045. https://doi.org/10.1038/nmeth.4045 PMID:
27798610
40. McGarry TJ, Kirschner MW. Geminin, an Inhibitor of DNA Replication, Is Degraded during Mitosis. Cell
[Internet]. 1998 Jun; 93(6):1043–53. Available from: https://linkinghub.elsevier.com/retrieve/pii/
S009286740081209X. https://doi.org/10.1016/s0092-8674(00)81209-x PMID: 9635433
41. Whitfield M, Zheng L, Baldwin A, Ohta T, Hurt M, Marzluff W. Stem-loop binding protein, the protein that
binds the 30 end of histone mRNA, is cell cycle regulated by both translational and posttranslational
PLOS Biology | https://doi.org/10.1371/journal.pbio.3002453 January 5, 2024
31 / 34
PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
mechanisms. Cell Biol [Internet]. 2000 [cited 2014 Jan 15]; 20:4188–98. Available from: http://mcb.asm.
org/content/20/12/4188.short. https://doi.org/10.1128/MCB.20.12.4188-4198.2000 PMID: 10825184
42.
Leonhardt H, Rahn H-P, Weinzierl P, Sporbert A, Cremer T, Zink D, et al. Dynamics of DNA Replication
Factories in Living Cells. J Cell Biol [Internet]. 2000 Apr 17; 149(2):271–80. Available from: https://
rupress.org/jcb/article/149/2/271/32118/Dynamics-of-DNA-Replication-Factories-in-Living. https://doi.
org/10.1083/jcb.149.2.271 PMID: 10769021
43. Cardoso MC, Joseph C, Rahn H-P, Reusch R, Nadal-Ginard B, Leonhardt H. Mapping and Use of a
Sequence that Targets DNA Ligase I to Sites of DNA Replication In Vivo. J Cell Biol [Internet]. 1997 Nov
3; 139(3):579–87. Available from: https://rupress.org/jcb/article/139/3/579/737/Mapping-and-Use-of-a-
Sequence-that-Targets-DNA. https://doi.org/10.1083/jcb.139.3.579 PMID: 9348276
44. Xie S, Swaffer M, Skotheim JM. Eukaryotic Cell Size Control and Its Relation to Biosynthesis and
Senescence. Annu Rev Cell Dev Biol [Internet]. 2022 Oct 6; 38(1):291–319. Available from: https://
www.annualreviews.org/doi/10.1146/annurev-cellbio-120219-040142. PMID: 35562854
45. Cooper S. Control and maintenance of mammalian cell size. BMC Cell Biol. 2004; 5:1–21.
46. Scott M, Hwa T. Bacterial growth laws and their applications. Curr Opin Biotechnol [Internet]. 2011 May
16 [cited 2011 Jun 27]; 22(4):559–65. Available from: http://www.ncbi.nlm.nih.gov/pubmed/21592775.
https://doi.org/10.1016/j.copbio.2011.04.014 PMID: 21592775
47. Son S, Tzur A, Weng Y, Jorgensen P, Kim J, Kirschner MW, et al. Direct observation of mammalian cell
growth and size regulation. Nat Methods [Internet]. 2012 Sep [cited 2012 Nov 5]; 9(9):910–2. Available
from: http://www.ncbi.nlm.nih.gov/pubmed/22863882. https://doi.org/10.1038/nmeth.2133 PMID:
22863882
48. Mu L, Kang JH, Olcum S, Payer KR, Calistri NL, Kimmerling RJ, et al. Mass measurements during lym-
phocytic leukemia cell polyploidization decouple cell cycle- And cell size-dependent growth. Proc Natl
Acad Sci U S A [Internet]. 2020 Jul 7; 117(27):15659–65. Available from: http://biorxiv.org/cgi/content/
short/2019.12.17.879080v1?rss=1&utm_source=researcher_app&utm_medium=referral&utm_
campaign=RESR_MRKT_Researcher_inbound. https://doi.org/10.1073/pnas.1922197117 PMID:
32581119
49.
Liu S, Tan C, Melo-gavin C, Mark KG, Ginzberg MB, Blutrich R, et al. Large cells activate global protein
degradation to maintain cell size homeostasis. bioRxiv. 2021:1–31.
50. Miettinen TP, Kang JH, Yang LF, Manalis SR. Mammalian cell growth dynamics in mitosis. Elife [Inter-
net]. 2019 May 7; 8:1–29. Available from: https://elifesciences.org/articles/44700. https://doi.org/10.
7554/eLife.44700 PMID: 31063131
51. Ghenim L, Allier C, Obeid P, Herve´ L, Fortin J-Y, Balakirev M, et al. A new ultradian rhythm in mamma-
lian cell dry mass observed by holography. Sci Rep [Internet]. 2021; 11(1):1–12. https://doi.org/10.
1038/s41598-020-79661-9 PMID: 33446678
52. Kar P, Tiruvadi-Krishnan S, Ma¨nnik J, Ma¨ nnik J, Amir A. Distinguishing different modes of growth using
single-cell data. Elife [Internet]. 2021 Dec 2; 10. Available from: https://elifesciences.org/articles/72565.
https://doi.org/10.7554/eLife.72565 PMID: 34854811
53. Amir A. Cell Size Regulation in Bacteria. Phys Rev Lett [Internet]. 2014 May 23; 112(20):208102. Avail-
able from: https://link.aps.org/doi/10.1103/PhysRevLett.112.208102.
54.
Thomas P. Analysis of Cell Size Homeostasis at the Single-Cell and Population Level. Front Phys [Inter-
net]. 2018 Jun 26; 6(June). Available from: https://www.frontiersin.org/article/10.3389/fphy.2018.
00064/full.
55. Vargas-Garcia CA, Bjo¨rklund M, Singh A. Modeling homeostasis mechanisms that set the target cell
size. Sci Rep [Internet]. 2020 Aug 18; 10(1):13963. Available from: https://www.nature.com/articles/
s41598-020-70923-0. https://doi.org/10.1038/s41598-020-70923-0 PMID: 32811891
56. Ho P-Y, Lin J, Amir A. Modeling Cell Size Regulation: From Single-Cell-Level Statistics to Molecular
Mechanisms and Population-Level Effects. Annu Rev Biophys [Internet]. 2018 May 20; 47(1):251–71.
Available from: https://www.annualreviews.org/doi/10.1146/annurev-biophys-070317-032955. PMID:
29517919
57.
Thomas P, Terradot G, Danos V, Weiße AY. Sources, propagation and consequences of stochasticity
in cellular growth. Nat Commun [Internet]. 2018; 9(1):1–11. https://doi.org/10.1038/s41467-018-06912-
9 PMID: 30375377
58. Cook M, Tyers M. Size control goes global. Curr Opin Biotechnol [Internet]. 2007 Aug [cited 2012 Nov
5]; 18(4):341–50. Available from: http://www.ncbi.nlm.nih.gov/pubmed/17768045. https://doi.org/10.
1016/j.copbio.2007.07.006 PMID: 17768045
59. Echave P, Conlon IJ, Lloyd AC. Cell Size Regulation in Mammalian Cells. Cell Cycle [Internet]. 2007
Oct 28 [cited 2015 Feb 16]; 6(2):218–24. Available from: http://www.tandfonline.com/doi/abs/10.4161/
cc.6.2.3744. PMID: 17245129
PLOS Biology | https://doi.org/10.1371/journal.pbio.3002453 January 5, 2024
32 / 34
PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
60.
Jorgensen P, Tyers M. How cells coordinate growth and division. Curr Biol [Internet]. 2004 Dec 14
[cited 2012 Mar 6]; 14(23):R1014–27. Available from: http://www.ncbi.nlm.nih.gov/pubmed/15589139.
https://doi.org/10.1016/j.cub.2004.11.027 PMID: 15589139
61. Umen JG. The elusive sizer. Curr Opin Cell Biol [Internet]. 2005 Aug [cited 2012 May 21]; 17(4):435–
41. Available from: http://www.ncbi.nlm.nih.gov/pubmed/15978795. https://doi.org/10.1016/j.ceb.2005.
06.001 PMID: 15978795
62.
63.
Liu S, Tan C, Tyers M, Zetterberg A, Kafri R. What programs the size of animal cells? Front Cell Dev
Biol [Internet]. 2022 Nov 1; 10(November):1–19. Available from: https://www.frontiersin.org/articles/10.
3389/fcell.2022.949382/full. https://doi.org/10.3389/fcell.2022.949382 PMID: 36393871
Taubenberger A V., Baum B, Matthews HK. The Mechanics of Mitotic Cell Rounding. Front Cell Dev
Biol [Internet]. 2020 Aug 6; 8(August):1–16. Available from: https://www.frontiersin.org/article/10.3389/
fcell.2020.00687/full. https://doi.org/10.3389/fcell.2020.00687 PMID: 32850812
64. Voldner N, Frey Frøslie K, Godang K, Bollerslev J, Henriksen T. Determinants of birth weight in boys
and girls. human_ontogenetics [Internet]. 2009 Mar 18; 3(1):7–12. Available from: https://onlinelibrary.
wiley.com/doi/10.1002/huon.200900001.
65. Amir A. Is cell size a spandrel? Elife [Internet]. 2017 Jan 19; 6:1–8. Available from: https://elifesciences.
org/articles/22186. https://doi.org/10.7554/eLife.22186 PMID: 28102818
66. ElGamel M, Mugler A. Effects of molecular noise on cell size control. 2023;(1). Available from: http://
arxiv.org/abs/2303.15232.
67.
Liu X, Oh S, Kirschner MW. The uniformity and stability of cellular mass density in mammalian cell cul-
ture. Front Cell Dev Biol [Internet]. 2022 [cited 2022 Oct 14]; 10. Available from: https://internal-journal.
frontiersin.org/articles/10.3389/fcell.2022.1017499/full. https://doi.org/10.3389/fcell.2022.1017499
PMID: 36313562
68. Cadart C, Venkova L, Piel M, Cosentino Lagomarsino M. Volume growth in animal cells is cell cycle
dependent and shows additive fluctuations. Elife [Internet]. 2022 Jan 28; 11. Available from: https://
elifesciences.org/articles/70816. https://doi.org/10.7554/eLife.70816 PMID: 35088713
69. Cadart C, Venkova L, Recho P, Lagomarsino MC, Piel M. The physics of cell-size regulation across
timescales. Nat Phys [Internet]. 2019; 15(10):993–1004. https://doi.org/10.1038/s41567-019-0629-y
70. Bjo¨rklund M. Cell size homeostasis: Metabolic control of growth and cell division. Biochim Biophys Acta
—Mol Cell Res [Internet]. 2019 Mar; 1866(3):409–17. https://doi.org/10.1016/j.bbamcr.2018.10.002
PMID: 30315834
71. Cadart C, Heald R. Scaling of biosynthesis and metabolism with cell size. Schroer T, editor. Mol Biol
Cell [Internet]. 2022 Aug 1; 33(9):1–6. Available from: https://www.molbiolcell.org/doi/10.1091/mbc.
E21-12-0627. PMID: 35862496
72.
Turner JJ, Ewald JC, Skotheim JM. cell size control in yeast. Curr Biol. 2012; 29(6):997–1003. https://
doi.org/10.1016/j.cub.2012.02.041 PMID: 22575477
73. Navarro FJ, Nurse P. A systematic screen reveals new elements acting at the G2/M cell cycle control.
Genome Biol [Internet]. 2012; 13(5):R36. Available from: http://genomebiology.biomedcentral.com/
articles/10.1186/gb-2012-13-5-r36. https://doi.org/10.1186/gb-2012-13-5-r36 PMID: 22624651
74. Keifenheim D, Sun XM, D’Souza E, Ohira MJ, Magner M, Mayhew MB, et al. Size-Dependent Expres-
sion of the Mitotic Activator Cdc25 Suggests a Mechanism of Size Control in Fission Yeast. Curr Biol
[Internet]. 2017; 27(10):1491–1497.e4. https://doi.org/10.1016/j.cub.2017.04.016 PMID: 28479325
75. Donzelli M, Draetta GF. Regulating mammalian checkpoints through Cdc25 inactivation. EMBO Rep
[Internet]. 2003 Jul; 4(7):671–7. Available from: https://www.embopress.org/doi/10.1038/sj.embor.
embor887. PMID: 12835754
76.
Zhao RY, Elder RT. Viral infections and cell cycle G2/M regulation. Cell Res [Internet]. 2005 Mar; 15
(3):143–9. Available from: https://www.nature.com/articles/7290279. https://doi.org/10.1038/sj.cr.
7290279 PMID: 15780175
77. Gemble S, Bernhard SV, Srivastava N, Wardenaar R, Nano M, Mace´ A-S, et al. Mechanisms of genetic
instability in a single S-phase following whole genome doubling. bioRxiv [Internet].
2021;2021.07.16.452672. Available from: https://www.biorxiv.org/content/10.1101/2021.07.16.
452672v1%0Ahttps://www.biorxiv.org/content/10.1101/2021.07.16.452672v1.abstract.
78. Mei L, Cook JG. Efficiency and equity in origin licensing to ensure complete DNA replication. Biochem
Soc Trans [Internet]. 2021 Nov 1; 49(5):2133–41. Available from: https://portlandpress.com/
biochemsoctrans/article/49/5/2133/229829/Efficiency-and-equity-in-origin-licensing-to. https://doi.org/
10.1042/BST20210161 PMID: 34545932
79. Maya-Mendoza A, Moudry P, Merchut-Maya JM, Lee M, Strauss R, Bartek J. High speed of fork pro-
gression induces DNA replication stress and genomic instability. Nature [Internet]. 2018; 559
(7713):279–284. https://doi.org/10.1038/s41586-018-0261-5 PMID: 29950726
PLOS Biology | https://doi.org/10.1371/journal.pbio.3002453 January 5, 2024
33 / 34
PLOS BIOLOGYCell size homeostasis is tightly controlled throughout the cell cycle
80. Arora M, Moser J, Phadke H, Basha AA, Spencer SL. Endogenous Replication Stress in Mother Cells
Leads to Quiescence of Daughter Cells. Cell Rep [Internet]. 2017; 19(7):1351–1364. https://doi.org/10.
1016/j.celrep.2017.04.055 PMID: 28514656
81. Chen Y, Futcher B. Scaling gene expression for cell size control and senescence in Saccharomyces
cerevisiae. Curr Genet [Internet]. 2021 Feb 5; 67(1):41–7. Available from: http://link.springer.com/10.
1007/s00294-020-01098-4. https://doi.org/10.1007/s00294-020-01098-4 PMID: 33151380
82.
Lin J, Amir A. Homeostasis of protein and mRNA concentrations in growing cells. Nat Commun [Inter-
net]. 2018 Dec 29; 9(1):4496. Available from: https://www.biorxiv.org/content/early/2018/01/29/255950.
https://doi.org/10.1038/s41467-018-06714-z PMID: 30374016
83. Harris LK, Theriot JA. Relative Rates of Surface and Volume Synthesis Set Bacterial Cell Size. Cell
[Internet]. 2016 Jun; 165(6):1479–92. Available from: https://linkinghub.elsevier.com/retrieve/pii/
S0092867416306481. https://doi.org/10.1016/j.cell.2016.05.045 PMID: 27259152
84. Rishal I, Kam N, Perry RBT, Shinder V, Fisher EMCC, Schiavo G, et al. A Motor-Driven Mechanism for
Cell-Length Sensing. Cell Rep [Internet]. 2012; 1(6):608–616. https://doi.org/10.1016/j.celrep.2012.05.
013 PMID: 22773964
85.
Laplante M, Sabatini DM. mTOR signaling in growth control and disease. Cell [Internet]. 2012 Apr 13
[cited 2014 Jul 9]; 149(2):274–93. Available from: http://www.pubmedcentral.nih.gov/articlerender.fcgi?
artid=3331679&tool=pmcentrez&rendertype=abstract. https://doi.org/10.1016/j.cell.2012.03.017
PMID: 22500797
86. Kumari R, Jat P. Mechanisms of Cellular Senescence: Cell Cycle Arrest and Senescence Associated
Secretory Phenotype. Front Cell Dev Biol [Internet]. 2021 Mar 29 [cited 2022 Nov 14]; 9:485. Available
from: https://www.frontiersin.org/articles/10.3389/fcell.2021.645593/full. https://doi.org/10.3389/fcell.
2021.645593 PMID: 33855023
87. Ginzberg MB. Size control and uniformity in animal cells. Harvard University; 2015.
88. Burnham KP, Anderson DR. Model Selection and Multimodel Inference [Internet]. Burnham KP, Ander-
son DR, editors. New York, NY: Springer New York; 2004. Available from: http://link.springer.com/10.
1007/b97636.
89. Abdi H. Kendall Rank Correlation Coefficient. In: The Concise Encyclopedia of Statistics [Internet].
New York, NY: Springer New York; 2008. p. 278–81. Available from: http://link.springer.com/10.1007/
978-0-387-32833-1_211.
PLOS Biology | https://doi.org/10.1371/journal.pbio.3002453 January 5, 2024
34 / 34
PLOS BIOLOGY
| null |
10.1186_s12874-019-0884-8.pdf
|
Availability of data and materials
Restrictions by the data custodians mean that the datasets are not publicly
available or able to be provided by the authors. Researchers wanting to access
the datasets used in this study should refer to the Centre for Health Record
Linkage application process (www.cherel.org.au/apply-for-linked-data).
| null |
Tervonen et al. BMC Medical Research Methodology (2019) 19:245
https://doi.org/10.1186/s12874-019-0884-8
R E S E A R C H A R T I C L E
Open Access
Using data linkage to enhance the
reporting of cancer outcomes of Aboriginal
and Torres Strait Islander people in NSW,
Australia
Hanna E. Tervonen, Stuart Purdie and Nicola Creighton*
Abstract
Background: Aboriginal people are known to be under-recorded in routinely collected datasets in Australia. This
study examined methods for enhancing the reporting of cancer incidence among Aboriginal people using linked
data methodologies.
Methods: Invasive cancers diagnosed in New South Wales (NSW), Australia, in 2010–2014 were identified from the
NSW Cancer Registry (NSWCR). The NSWCR data were linked to the NSW Admitted Patient Data Collection, the
NSW Emergency Department Data Collection and the Australian Coordinating Register Cause of Death Unit Record
File. The following methods for enhancing the identification of Aboriginal people were used: ‘ever-reported’,
‘reported on most recent record’, ‘weight of evidence’ and ‘multi-stage median’. The impact of these methods on
the number of cancer cases and age-standardised cancer incidence rates (ASR) among Aboriginal people was
explored.
Results: Of the 204,948 cases of invasive cancer, 2703 (1.3%) were recorded as Aboriginal on the NSWCR. This
increased with enhancement methods to 4184 (2.0%, ‘ever’), 3257 (1.6%, ‘most recent’), 3580 (1.7%, ‘weight of
evidence’) and 3583 (1.7%, ‘multi-stage median’). Enhancement was generally greater in relative terms for males,
people aged 25–34 years, people with cancers of localised or unknown degree of spread, people living in urban
areas and areas with less socio-economic disadvantage. All enhancement methods increased ASRs for Aboriginal
people. The weight of evidence method increased the overall ASR by 42% for males (894.1 per 100,000, 95% CI
844.5–945.4) and 27% for females (642.7 per 100,000, 95% CI 607.9–678.7). Greatest relative increases were observed
for melanoma and prostate cancer incidence (126 and 63%, respectively). ASRs for prostate and breast cancer
increased from below to above the ASRs of non-Aboriginal people with enhancement of Aboriginal status.
Conclusions: All data linkage methods increased the number of cancer cases and ASRs for Aboriginal people.
Enhancement varied by demographic and cancer characteristics. We considered the weight of evidence method to
be most suitable for population-level reporting of cancer incidence among Aboriginal people. The impact of
enhancement on disparities in cancer outcomes between Aboriginal and non-Aboriginal people should be further
examined.
Keywords: Neoplasms, Indigenous, Australia, Data linkage
* Correspondence: nicola.creighton@health.nsw.gov.au
Cancer Institute NSW, PO Box 41, Alexandria, Sydney, NSW 1435, Australia
© The Author(s). 2019 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0
International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and
reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to
the Creative Commons license, and indicate if changes were made. The Creative Commons Public Domain Dedication waiver
(http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.
Tervonen et al. BMC Medical Research Methodology (2019) 19:245
Page 2 of 9
Background
Aboriginal people are known to be under-recorded in
routinely collected datasets [1–3]. Reasons for under-
recording are complex and include a lack of awareness
and training to ask about Aboriginal status among health
staff, and among Aboriginal people concerns about how
the question was asked, racism and discrimination, priv-
acy, a lack of cultural safety and difficulties in tracing
identity [4]. Under-recording of Aboriginal status gener-
ally results in under-estimation of absolute measures of
health indicators [5, 6].
It is possible to enhance reporting of health outcomes
of Aboriginal people by linking data from several sources
[7]. For example, Randall and colleagues showed that
different enhancement methods using linked data in-
creased the number of hospital admissions for Aborigi-
nal people with varying impacts on admission and
mortality ratios [6]. Several different methods for enhan-
cing identification of Aboriginal people have been used,
with no consensus on the optimal method. Australian
guidelines on data linkage related to Aboriginal people
recommend comparing the impact of several methods
and choosing the optimal method based on the purpose
of the analysis and characteristics of the datasets [7].
Aboriginal people are under-recorded in the New South
Wales Cancer Registry (NSWCR) despite increased record-
ing of Aboriginal status over time [3]. In the early 1980s,
more than 80% of people on the NSWCR had unknown
Aboriginal status, which had dropped to approximately 13%
by 1999. A previous study examining the feasibility of en-
hancement of reporting of Aboriginal people using linked
data from several data sources, including NSWCR, found
that the number of cancer cases, and hence cancer incidence,
for Aboriginal people increased following enhancement [2].
Estimates of health outcomes among Aboriginal people
and the size of disparities compared with non-Aboriginal
people can change depending on how Aboriginal status is
reported and which enhancement method is used [5, 6]. Ac-
curate and complete recording of Indigenous status is
needed to reliably measure cancer outcomes, identify dispar-
ities and produce information about cancer among
Indigenous people globally. Cancer registries are a key
source of information for reporting cancer outcomes yet
there are very few studies examining the impact of under-
recording of Indigenous status on cancer incidence [8]. This
study examined the impact of linked data enhancement
methods on the number of cancer cases and cancer inci-
dence rates among Aboriginal people in NSW, Australia,
using common algorithms and population-based datasets.
Methods
Study design and data sources
This was a retrospective cohort study using linked
invasive
routinely-collected health data. All cases of
cancer diagnosed and recorded in the NSWCR between
2010 and 2014 were included in the analyses. The
NSWCR is a statutory population-based cancer registry
which collects information about all invasive cancers di-
agnosed in NSW, Australia. Information about Aborigi-
nal and Torres Strait Islander status in the NSWCR
comes from multiple sources, such as hospital treatment
episodes and death registration [3]. Pathology reports do
not include information about Aboriginal and Torres
Strait Islander status and, therefore, this information is
missing if the NSWCR only receives a pathology notifi-
cation. The NSWCR uses a progressive positive identifi-
cation algorithm with a single notice from any source
indicating a person to be Aboriginal or Torres Strait Is-
lander taking precedence over any other information.
Aboriginal and Torres Strait Islander status is assigned
at a person level, rather than individual cancer case level.
Torres Strait Islander people are included with Aborigi-
nal people throughout this study due to the small num-
ber of people from the Torres Strait Islands residing in
NSW and in recognition that Aboriginal people are the
original inhabitants of NSW [4].
The NSWCR data were linked to the NSW Admitted Pa-
tient Data Collection (APDC), the NSW Emergency De-
partment Data Collection (EDDC) and the Australian
Coordinating Registry Cause of Death Unit Record File
(COD URF). The APDC includes records of all hospital ad-
missions in NSW public and private hospitals and day pro-
information on
the EDDC includes
cedure centres,
presentations to emergency departments of public hospitals
in NSW, and the COD URF includes information about
deaths occurring in NSW. Data linkage was performed by
the Centre for Health Record Linkage (CHeReL). The
CHeReL uses Choicemaker software to perform probabilis-
tic linkage of personal identifiers using a privacy-preserving
protocol (http://www.cherel.org.au). The datasets used in
this study are in the CHeReL’s Master Linkage Key. The
CHeReL implements quality assurance procedures and per-
forms clerical review of a sample of records to keep the es-
timated false positive and false negative linkage rate to less
than 5 per 1000. The CHeReL provided a unique and arbi-
trary “Project Person Number” which enabled the records
in each study dataset to be joined for an individual without
the researchers accessing personal identifiers.
The APDC data covered a period between July 2001 and
December 2017, the EDDC between January 2005 and De-
cember 2017, and the COD URF between January 1985 and
December 2015. Aboriginal status is self-reported in the
APDC and EDDC and is provided by the next-of-kin in the
COD URF. Population data were based on data from the
Australian Bureau of Statistics and obtained through the Se-
cure Analytics
for Population Health Research and
Intelligence (SAPHaRI) data warehouse (Centre for Epi-
demiology and Evidence, NSW Ministry of Health).
Tervonen et al. BMC Medical Research Methodology (2019) 19:245
Page 3 of 9
This project was approved by the NSW Population
and Health Services Research Ethics Committee (HREC/
15/CIPHS/15) and the Aboriginal Health and Medical
Research Council Ethics Committee (HREC Ref. No.
1201/16). Subject matter advice and Aboriginal commu-
nity input was sought from the Cancer Institute NSW
Aboriginal Advisory Group.
Enhancement methods
The following methods for enhancing the reporting of
‘ever re-
cancer among Aboriginal people were used:
ported as Aboriginal’ [7], ‘Aboriginal on most recent rec-
ord’ [7], ‘weight of evidence’ [2] and ‘multi-stage median’
[9] (Table 1). These methods were selected because they
are among the most commonly used methods, represent
a combination of simple and complex enhancement
methods and are likely to provide a range of estimates. If
a person was recorded as Aboriginal on the NSWCR or
on the COD URF, a person was considered to be Abori-
ginal in the analyses. Our aim was to correct for under-
recording of Aboriginal people in the NSWCR, so we
only considered changing the status of those recorded as
non-Aboriginal or with unknown status in the NSWCR.
We considered the risk of a person being wrongly
in the COD URF to be low
identified as Aboriginal
since the information is provided by the next-of-kin.
Otherwise the four enhancement methods were ap-
plied to the data according to the descriptions pro-
vided in Table 1.
Statistical analysis
The number, proportion and characteristics of cases re-
ported as Aboriginal using the NSWCR information and
the four enhancement methods were compared. Character-
istics considered in this study were: sex, age at diagnosis,
year of diagnosis, cancer site, degree of spread (localised, re-
remoteness
gional, distant, unknown)
(major cities, inner regional, outer regional, remote/very re-
mote) [11], and area-based socio-economic disadvantage
residential
[10],
Table 1 The enhancement methods used in the analyses
Method
Description
Ever reported [7] Recorded as being Aboriginal at least once in any of
the data sources.
Most recent
record [7]
Weight of
evidence [2]
Multi-stage
median [9]
Recorded as being Aboriginal in the most recent
record in any of the data sources.
Recorded as Aboriginal if
1) there are three or more units of information and at
least two indicate that the person is Aboriginal;
2) if there are one or 2 units of information and at
least one identifies the person as Aboriginal.
The weight of evidence method is applied in a two-
step process: firstly to each dataset individually; and
then treating the results for each dataset as units of
information.
(Index of Relative Socio-economic Disadvantage quintiles)
[12]. For descriptive analyses, cancer sites were classified
using clinical cancer grouping [13].
considered
Age-standardised cancer incidence rates (ASR) were
calculated for non-Aboriginal and Aboriginal people
using the NSWCR Aboriginal status variable before
enhancement. Cases with unknown Aboriginal status
For Aboriginal
non-Aboriginal.
were
people, cancer incidence was also calculated using the
variables created by the four enhancement methods.
Direct age-standardisation was calculated using the
2001 Australian standard population and NSW popu-
lation data based on data from the Australian Bureau
of Statistics [14]. Results were reported as rates per
100,000 with 95% confidence intervals (CIs)
for all
cancers and for the following sites:
(female) breast
(International Statistical Classification of Diseases and
Related Health Problems, 10th Revision, Australian
Modification code C50), colorectal (C18-C20), pros-
tate (C61), lung (C34), melanoma (C43), and cervical
cancer (C53).
The impact of different enhancement methods on the
number of cases and on ASRs was examined in relative
terms (% increase compared with the NSWCR variable).
Analyses were performed using SAS Version 9.4 (SAS
Institute, Cary, NC).
Results
invasive cancer were diag-
Overall 204,948 cases of
nosed in NSW in 2010–2014. Of these, 2703 (1.3%)
were diagnosed among Aboriginal people based on
the NSWCR Aboriginal status variable. There were
28,572 cases of cancer with unknown Aboriginal sta-
tus (13.9%). After enhancement, the number of cases
among Aboriginal people increased to 4184 (2.0%,
‘ever’), 3257 (1.6%,
‘weight
‘multi-stage median’).
of evidence’) and 3583 (1.7%,
The majority of cancer cases with a status change
after enhancement were originally recorded as non-
Aboriginal, rather than unknown Aboriginal status.
For example, of the 877 cases of cancer with a status
enhanced to Aboriginal using the weight of evidence
method, 74% (n = 651) were
recorded as non-
Aboriginal and 26% (n = 226) had unknown Aborigi-
nal status on the NSWCR.
‘most recent’), 3580 (1.7%,
Relative enhancement (per cent increase) was generally
greater for males, people aged 25–34 years, people with
cancers of unknown or localised degree of spread,
people living in urban areas and areas with less socio-
economic disadvantage (Table 2).
Overall the ASR among Aboriginal people was 559.9
per 100,000 (95% CI 535.3–585.3) before enhancement.
All enhancement methods increased ASRs overall and
for both males and females (Table 3, Fig. 1). The greatest
Tervonen et al. BMC Medical Research Methodology (2019) 19:245
Page 4 of 9
Table 2 Impact of enhancement on the number of cancer cases and relative increase (%) among Aboriginal people by
demographic and cancer characteristics, 2010–2014
NSWCR a
Ever reported
Most recent record
Weight of evidence
Multi-stage median
n
%
n
%
Increase
(%) b
n
%
Increase
(%) b
n
%
Increase
(%) b
n
%
Increase
(%) b
Sex
Female
Male
Age at diagnosis
0–14
15–24
25–34
35–44
45–54
55–64
65–74
75–84
85+
Year of diagnosis
2010
2011
2012
2013
2014
Clinical cancer group
Skin
Head and neck
Upper gastrointestinal
Colorectal
Respiratory
Bone and connective tissue
Breast
Gynaecological
Urogenital
Eye and neurological
Thyroid and other endocrine
Lymphohaematopoietic
Ill-defined and unknown
primary sites
Degree of spread
Localised
Regional
Distant
Unknown
Remoteness
Major Cities
Inner Regional
1329 1.5
1920 2.1
44.5%
1575 1.7
18.5%
1689 1.9
27.1%
1701 1.9
28.0%
1374 1.2
2264 2.0
64.8%
1682 1.5
22.4%
1891 1.7
37.6%
1882 1.6
37.0%
49
47
86
224
521
714
660
332
70
497
532
535
569
570
91
145
340
299
430
25
314
179
416
45
64
258
97
819
668
661
555
4.4
3.0
2.0
2.2
2.2
1.6
1.2
0.8
0.4
1.3
1.3
1.3
1.4
1.4
0.4
2.6
2.1
1.2
2.2
1.7
1.2
2.1
0.9
1.4
1.2
1.2
1.9
1.0
1.5
2.2
1.1
61
68
143
322
727
5.5
4.4
3.4
3.2
3.0
24.5%
44.7%
66.3%
43.8%
39.5%
1076 2.4
50.7%
1058 1.9
60.3%
570
159
766
830
836
851
901
284
205
442
442
553
34
472
249
803
68
109
401
122
1.3
0.8
1.9
2.1
2.0
2.0
2.1
1.3
3.6
2.7
1.8
2.8
2.3
1.9
2.9
1.8
2.2
2.1
1.9
2.3
71.7%
127.1%
54.1%
56.0%
56.3%
49.6%
58.1%
212.1%
41.4%
30.0%
47.8%
28.6%
36.0%
50.3%
39.1%
93.0%
51.1%
70.3%
55.4%
25.8%
54
61
120
276
627
867
785
388
79
594
639
646
683
695
177
171
367
356
464
29
391
207
547
51
81
313
103
4.9
3.9
2.8
2.8
2.6
1.9
1.4
0.9
0.4
1.5
1.6
1.6
1.6
1.7
0.8
3.0
2.3
1.4
2.4
2.0
1.5
2.4
1.2
1.6
1.5
1.5
2.0
10.2%
29.8%
39.5%
23.2%
20.3%
21.4%
18.9%
16.9%
12.9%
19.5%
20.1%
20.7%
20.0%
21.9%
94.5%
17.9%
7.9%
19.1%
7.9%
16.0%
24.5%
15.6%
31.5%
13.3%
26.6%
21.3%
6.2%
57
62
128
289
661
949
878
451
105
664
704
710
745
757
212
186
394
385
508
32
413
222
627
56
93
344
108
5.1
4.0
3.0
2.9
2.8
2.1
1.6
1.0
0.6
1.7
1.7
1.7
1.8
1.8
1.0
3.3
2.4
1.5
2.6
2.2
1.6
2.6
1.4
1.8
1.8
1.6
2.1
16.3%
31.9%
48.8%
29.0%
26.9%
32.9%
33.0%
35.8%
50.0%
33.6%
32.3%
32.7%
30.9%
32.8%
133.0%
28.3%
15.9%
28.8%
18.1%
28.0%
31.5%
24.0%
50.7%
24.4%
45.3%
33.3%
11.3%
56
64
130
293
675
945
876
447
97
661
705
712
747
758
216
184
392
379
502
33
420
223
633
57
94
343
107
5.1
4.1
3.0
2.9
2.8
2.1
1.6
1.0
0.5
1.7
1.7
1.7
1.8
1.8
1.0
3.2
2.4
1.5
2.6
2.2
1.7
2.6
1.4
1.8
1.8
1.6
2.1
14.3%
36.2%
51.2%
30.8%
29.6%
32.4%
32.7%
34.6%
38.6%
33.0%
32.5%
33.1%
31.3%
33.0%
137.4%
26.9%
15.3%
26.8%
16.7%
32.0%
33.8%
24.6%
52.2%
26.7%
46.9%
32.9%
10.3%
1467 1.8
79.1%
1086 1.3
32.6%
1209 1.5
47.6%
1212 1.5
48.0%
964
783
970
2.2
2.6
2.0
44.3%
18.5%
74.8%
767
686
718
1.8
2.3
1.5
14.8%
3.8%
29.4%
857
713
801
2.0
2.3
1.6
28.3%
7.9%
44.3%
850
713
808
2.0
2.3
1.7
27.2%
7.9%
45.6%
1206 0.9
1998 1.4
65.7%
1472 1.1
22.1%
1639 1.2
35.9%
1633 1.2
35.4%
831
1.7
1277 2.6
53.7%
1001 2.0
20.5%
1098 2.2
32.1%
1109 2.2
33.5%
Tervonen et al. BMC Medical Research Methodology (2019) 19:245
Page 5 of 9
Table 2 Impact of enhancement on the number of cancer cases and relative increase (%) among Aboriginal people by
demographic and cancer characteristics, 2010–2014 (Continued)
NSWCR a
Ever reported
Most recent record
Weight of evidence
Multi-stage median
n
%
n
%
Increase
(%) b
n
%
Increase
(%) b
n
%
Increase
(%) b
n
%
Increase
(%) b
Outer Regional
530
3.4
738
4.7
39.2%
Remote/ very remote
136
Socio-economic disadvantage quintilec
12.7 171
15.9 25.7%
620
164
4.0
17.0%
15.3 20.6%
678
165
4.3
27.9%
15.4 21.3%
675
166
4.3
27.4%
15.5 22.1%
Q1: Least disadvantaged
Q2
Q3
Q4
Q5: Most disadvantaged
131
352
474
843
903
0.3
0.9
1.1
1.8
2.4
280
596
785
0.7
1.6
1.9
113.7%
69.3%
65.6%
157
441
580
0.4
1.1
1.4
19.8%
25.3%
22.4%
194
487
650
0.5
1.3
1.6
48.1%
38.4%
37.1%
195
485
654
0.5
1.3
1.6
48.9%
37.8%
38.0%
1219 2.6
44.6%
1004 2.2
19.1%
1082 2.3
28.4%
1087 2.3
28.9%
1304 3.4
44.4%
1075 2.8
19.0%
1167 3.1
29.2%
1162 3.1
28.7%
aNSWCR: Aboriginal status variable in the NSW Cancer Registry
bRelative increase compared with the number of cases based on the NSW Cancer Registry Aboriginal status variable
cIndex of Relative Socio-economic Disadvantage
increases were detected when using the ‘ever reported’
and the smallest increases when using the ‘most recent’
method. Enhancement increased incidence rates more
for males than females. For example, the ‘weight of evi-
dence’ method increased the ASR by 42% for males
(894.1 per 100,000, 95% CI 844.5–945.4) and 27% for fe-
males (642.7 per 100,000, 95% CI 607.9–678.7).
In site-specific analyses, all enhancement methods in-
creased ASRs for all sites compared with rates estimated
using the NSWCR Aboriginal status variable (Table 3,
Fig. 2). Again, the ‘ever reported’ method demonstrated
the greatest increases while the ‘most recent’ method re-
sulted in the smallest increases. Greatest relative in-
creases were observed for melanoma and prostate
cancer incidence, with increases of 126 and 63% respect-
ively, using the ‘weight of evidence’ method.
Discussion
All enhancement methods increased both the number of
cancer cases and age-standardised cancer incidence rates
among Aboriginal people. The ‘ever reported’ method dem-
onstrated the greatest increases and ‘most recent’ method
the smallest increases, while the other two methods were
very similar to each other and between these two extrem-
ities. When using the ‘weight of evidence’ method, the ma-
jority (74%) of cases with enhanced Aboriginal status were
previously recorded as non-Aboriginal on the NSWCR.
This indicates misclassification in the NSWCR Aboriginal
status variable and highlights the need to correct this mis-
classification and not solely focus on decreasing the num-
ber of people with unknown Aboriginal status in the
NSWCR and in the information received by the NSWCR
from notifiers. Aboriginal and Torres Strait Islander status
is self-reported at NSW health facilities and people
to identify [4]. There have been
may choose not
culturally
to provide
strengthened procedures at a state level to improve
the collection of Aboriginal and Torres Strait Islander
status in NSW health facilities [15] as well as local
initiatives
safe health care
throughout the study period. These factors are likely
to have increased the willingness of people to self-
identify as Aboriginal or Torres Strait Islander and
improved identification at the point of care in more
recent years. Linked data enhances the reporting of
Aboriginal status because it brings together informa-
tion on Aboriginal status that is not available to the
NSWCR through people choosing to identify as Abo-
riginal after diagnosis or at
facilities that have not
provided cancer care.
Enhancement was generally greater in relative terms
for males, people aged 25–34 years at diagnosis, people
living in urban and less disadvantaged areas and for
people with a cancer of localised or unknown degree of
spread. Several factors are likely to explain these pat-
terns, such as sources of cancer notifications and treat-
ment patterns (e.g.
the likelihood of admission for
surgery). People diagnosed with cancers with good prog-
nosis are less likely to be hospitalised or die which de-
creases the likelihood of recording the Aboriginal status
on the NSWCR. If the NSWCR only receives pathology
notification, Aboriginal status information will be miss-
ing. This is more likely to apply to cancers such as mela-
nomas and prostate cancers, both of which showed
greater levels of enhancement.
A previous NSW study reported that enhancing Abori-
ginal status for reporting deaths resulted in greater en-
hancements for older people,
for people
living in urban areas and for those with chronic health
conditions [16]. Another NSW study examining the im-
pact on enhancement on hospital admissions reported
for females,
Tervonen et al. BMC Medical Research Methodology (2019) 19:245
Page 6 of 9
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Tervonen et al. BMC Medical Research Methodology (2019) 19:245
Page 7 of 9
Fig. 1 Age-standardised cancer incidence rates among Aboriginal people using the NSW Cancer Registry (NSWCR) Aboriginal status variable and
four enhancement methods, 2010–2014. (see Table 3 for underlying data and 95% confidence intervals)
greater enhancement
for earlier years of admission,
major cities, private hospitals and varying impact by age
depending on the enhancement method used [6]. Differ-
ent factors impact on enhancement depending on the
health outcome of
interest and the datasets used in
analyses.
Lung and cervical cancers saw the smallest increases in
incidence rates. Both these cancers have a greater burden
in Aboriginal compared with non-Aboriginal people [17].
Due to the poor prognosis, death certificate information is
available for most people diagnosed with lung cancer, in-
creasing the likelihood of Aboriginal status recording. It is
likely that enhancement had a smaller impact on lung
cancer incidence rates because the existing NSWCR Abo-
riginal status already had relatively good capture. The rela-
tively smaller increase in the incidence of cervical cancer
may due to relatively good capture on the NSWCR, but
may also be due to other factors such the patterns of hos-
pitalisation and capture of Aboriginal status at the point
of care for what is generally a younger cohort of women.
Enhancing the reporting of cancer outcomes of Aborigi-
nal people might have a major impact on observed dispar-
ities between Aboriginal and non-Aboriginal people. For
example, according to national statistics [17] and our
Fig. 2 Age-standardised cancer incidence rates by site among Aboriginal people using the NSW Cancer Registry (NSWCR) Aboriginal status
variable and four enhancement methods, 2010–2014. (see Table 3 for underlying data and 95% confidence intervals)
Tervonen et al. BMC Medical Research Methodology (2019) 19:245
Page 8 of 9
Increased breast cancer
analyses using the NSWCR Aboriginal status variable, Abo-
riginal people have lower breast and prostate cancer inci-
dence rates compared with non-Aboriginal people. This
pattern has also been reported among Indigenous peoples
in many international jurisdictions and has been proposed
as being related to the prevalence of risk factors for these
cancers and competing causes of death [18]. After enhance-
ment our results indicated higher breast and prostate
cancer incidence among Aboriginal people than non-
Aboriginal people in NSW. This finding has implications
on widely held views on risk of these cancers among Indi-
genous peoples. Higher breast cancer rates have been re-
ported among Indigenous people (Māori) in New Zealand
using the national population-based cancer registry which
includes links to a national health database to improve
identification [18].
incidence
among Indigenous people have been reported in two
United States (US) states using data linkage between cancer
registries and health service data [19, 20]. Our results also
highlight
the burden of melanoma among Aboriginal
people which warrants further discussion on prevention
strategies and actions. After enhancement our results indi-
cated substantially higher incidence than when using the
NSWCR Aboriginal status variable, but still
lower rates
compared with non-Aboriginal people (except when using
the ‘ever reported’ method). The effect of under-recording
of Indigenous status should be investigated in more juris-
dictions. Cancer is the second leading cause of death and
among the leading causes of burden of disease among Abo-
riginal people in Australia [21]. The findings of our study
highlight the impact of cancer on Aboriginal people and
the need for cancer control to improve health outcomes.
Cancer control programs should have a special focus on
Aboriginal people considering that their cancer burden
may be higher than expected. Australian cancer screening
programs are already targeting Aboriginal people due to
lower participation rates [17].
Future research should also examine the impact of en-
hancement on other cancer outcomes, such as mortality,
survival and the likelihood of being diagnosed with ad-
vanced stage disease. Studies have shown that Aboriginal
people are more likely to be diagnosed with advanced
stage cancer than non-Aboriginal people [22, 23]. We
found greatest enhancement for people diagnosed with
localised or unknown degree of spread, which may impact
on the likelihood of Aboriginal people being diagnosed
with advanced cancer in comparison with non-Aboriginal
people and affect estimates of disparities in survival out-
comes since localised cancers have much better prognosis.
Based on these results and consultation with the Can-
cer Institute NSW Aboriginal Advisory Group,
the
‘weight of evidence’ method was considered to be the
most suitable for further reporting of cancer outcomes
for Aboriginal people. The ‘weight of evidence’ method
utilises information from several sources but is still rela-
tively straightforward to use and report. It provides a
balance between enhancing the identification of Aborigi-
nal people and reducing misclassification of non-
Aboriginal people as Aboriginal. This method was devel-
oped and is also used by the NSW Ministry of Health
[6]. Studies have pointed out that ‘ever reported’ may re-
sult in misclassification and over-reporting [1, 6]. It
should be noted that an enhanced Aboriginal identifier
is a statistical construct that enables improved reporting
of cancer outcomes using historical data but potentially
includes some inaccuracies due to errors in the source
datasets and incorrect linkages [2]. Collection of accur-
ate information at the point of care remains vital.
Limitations include that if a person was recorded as Abo-
riginal on the NSWCR or death certificate, this information
was accepted. Although there is a possibility for positive
misclassification this is likely to be low since the information
is provided by the next-of-kin. Numerator-denominator bias
is a known issue affecting observed cancer burden in Indi-
genous populations internationally because incidence and
population data are derived using different data collection
methodologies [8]. Population denominators can be unreli-
able due to under-participation of Aboriginal people and
varying propensity to identify as Aboriginal in censuses. The
Australian Bureau of Statistics (ABS) estimates Aboriginal
and Torres Strait Islander populations using self-reported
information in the Australian Census data with adjustment
for undercount using a household survey following the cen-
sus [14]. An increase in the number of people self-
identifying as Aboriginal or Torres Strait Islander has been
observed, with people who did not self-identify in the 2011
Australian Census choosing to identify in the subsequent
2016 Census [24]. In our study, enhancement of the numer-
ator is likely to reduce the under-estimation of cancer inci-
dence that is common in cancer incidence estimates for
Indigenous people [8]. However, without enhancement of
the denominator using the same methodologies it may lead
to over-estimation of incidence rates. Linkage of the cancer
registry, census, hospital and mortality data would enable
cancer outcomes for Aboriginal people to be estimated with
reduced numerator-denominator bias.
Conclusions
All data linkage enhancement methods increased the
number of cancer cases and cancer incidence rates for
Aboriginal people. Enhancement varied by demographic
and cancer characteristics. We considered the ‘weight of
evidence’ method to be most suitable for future analyses
of cancer outcomes of Aboriginal people. Enhancing the
reporting of cancer outcomes of Aboriginal people can
have major impacts on cancer disparities between Abori-
ginal and non-Aboriginal people and this should be fur-
ther examined.
Tervonen et al. BMC Medical Research Methodology (2019) 19:245
Page 9 of 9
Abbreviations
ABS: Australian Bureau of Statistics; APDC: Admitted Patient Data Collection;
ASR: Age-standardised cancer incidence rate; CI: Confidence Intervals;
COD URF: Cause of Death Unit Record File; EDDC: Emergency Department
Data Collection; NSW: New South Wales; NSWCR: New South Wales Cancer
Registry; US: United States
Acknowledgements
The authors would like to thank the Aboriginal Advisory Group of the Cancer
Institute NSW for their valuable advice and comments. The Cause of Death
Unit Record File (COD URF) is provided by the Australian Coordinating
Registry for COD URF on behalf of Australian Registries of Births, Deaths and
Marriages, Australian Coroners and the National Coronial Information System.
We would also like to thank the Centre for Epidemiology and Evidence, NSW
Ministry of Health for providing access to the population data and the
Centre for Health Record Linkage for their assistance with this project.
Authors’ contributions
NC had the original idea for the study. SP and HET analysed the data. HET
and NC conducted the literature searches. HET wrote the first draft of the
manuscript. All authors contributed to the interpretation of the results, read
and approved the final manuscript.
Funding
Not applicable.
Availability of data and materials
Restrictions by the data custodians mean that the datasets are not publicly
available or able to be provided by the authors. Researchers wanting to access
the datasets used in this study should refer to the Centre for Health Record
Linkage application process (www.cherel.org.au/apply-for-linked-data).
Ethics approval and consent to participate
This project was approved by the NSW Population and Health Services
Research Ethics Committee (HREC/15/CIPHS/15) and the Aboriginal
Health and Medical Research Council Ethics Committee (HREC Ref. No.
1201/16). The data sources were collected under legislation and
individual consent was not required for the use of the de-identified data
in this project. Subject matter advice and Aboriginal community input
was sought from the Cancer Institute NSW Aboriginal Advisory Group.
Consent for publication
Not applicable.
Competing interests
The authors declare that they have no competing interests.
Received: 5 March 2019 Accepted: 5 December 2019
References
1.
Kennedy B, Howell S, Breckell C. Indigenous identification in administrative
data collections and the implications for reporting Indigenous health status.
Technical Report no. 3. Brisbane: Health Statistics Centre, Queensland
Health; 2009.
Population and Public Health Division. Improved Reporting of Aboriginal
and Torres Strait Islander Peoples on Population Datasets in New South
Wales using Record Linkage – a Feasibility Study. Sydney: NSW Ministry of
Health; 2012.
Cancer Institute NSW. Cancer in NSW Aboriginal peoples: completeness and
quality of Aboriginal status data on the NSW Central Cancer registry.
Sydney: Cancer Institute NSW; 2012.
NSW Aboriginal Affairs. Aboriginal identification: the way forward. An
Aboriginal peoples’ perspective. Sydney: NSW Government; 2015.
Thompson SC, Woods JA, Katzenellenbogen JM. The quality of Indigenous
identification in administrative health data in Australia: insights from studies
using data linkage. BMC Med Inform Decis. 2012;12:133.
Randall DA, Lujic S, Leyland AH, Jorm LR. Statistical methods to enhance
reporting of Aboriginal Australians in routine hospital records using data
linkage affect estimates of health disparities. Aust NZ J Publ Health. 2013;
37(5):442–9.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Australian Institute of Health and Welfare, Australian Bureau of Statistics.
National best practice guidelines for data linkage activities relating to
Aboriginal and Torres Strait Islander people. AIHW Cat. No. IHW 74.
Canberra: AIHW; 2012.
Sarfati D, Robson B. Equitable cancer control: better data needed for
indigenous people. Lancet Oncol. 2015;16(15):1442–4.
Christensen D, Davis G, Draper G, Mitrou F, McKeown S, Lawrence D, et al.
Evidence for the use of an algorithm in resolving inconsistent and missing
Indigenous status in administrative data collections. Aust J Soc Issues. 2014;
49:423–49.
Esteban D, Whelan S, Laudico A, Parkin DM. Manual for cancer registry
personnel. IARC Technical Report No 10. Lyon: International Agency for
Research on Cancer; 1995.
11. Australian Bureau of Statistics. 1216.0.15.003 - Australian Standard
Geographical Classification (ASGC) Remoteness Area Correspondences.
Canberra: ABS; 2011.
12. Australian Bureau of Statistics. 2039.0 - Information Paper: An Introduction
to Socio-Economic Indexes for Areas (SEIFA), 2006. Canberra: ABS; 2008.
13. Cancer Institute NSW. Glossary. https://www.cancerinstitute.org.au/
glossary#term-Clinical-cancer-group. Accessed 14 Jun 2019.
14. Australian Bureau of Statistics. 3238.0 - Estimates and Projections, Aboriginal
and Torres Strait Islander Australians, 2001 to 2026. Canberra: ABS; 2014.
15. Centre for Aboriginal Health. Aboriginal and Torres Strait Islander Origin -
16.
Recording of Information of Patients and Clients. Sydney: NSW Health; 2012.
https://www1.health.nsw.gov.au/PDS/pages/doc.aspx?dn=PD2012_042 .
Accessed 14 June 2019.
Taylor LK, Bentley J, Hunt J, Madden R, McKeown S, Brandt P, et al.
Enhanced reporting of deaths among Aboriginal and Torres Strait Islander
peoples using linked administrative health datasets. BMC Med Res
Methodol. 2012;12(1):91.
17. Australian Institute of Health and Welfare. Cancer in Aboriginal & Torres
Strait Islander people of Australia. Web report Cat no. CAN 109: AIHW; 2018.
https://www.aihwgovau/reports/cancer/cancer-in-indigenous-australians/
contents/table-of-contents. Accessed 14 Jun 2019
18. Moore SP, Antoni S, Colquhoun A, Healy B, Ellison-Loschmann L, Potter JD,
et al. Cancer incidence in indigenous people in Australia, New Zealand,
Canada, and the USA: a comparative population-based study. Lancet Oncol.
2015;16(15):1483–92.
19. Partin MR, Rith-Najarian SJ, Slater JS, Korn JE, Cobb N, Soler JT. Improving
20.
cancer incidence estimates for American Indians in Minnesota. Am J Public
Health. 1999;89(11):1673–7.
Foote M, Matloub J, Strickland R, Stephenson L, Vaughan-Batten H.
Improving cancer incidence estimates for American Indians in Wisconsin.
WMJ. 2007;106(4):196–204.
21. Australian Institute of Health and Welfare. Australian Burden of Disease
Study: Impact and causes of illness and death in Aboriginal and Torres Strait
Islander people 2011. Australian Burden of Disease Study series no. 6 Cat
no. BOD 7. Canberra: AIHW; 2016.
22. Gibberd A, Supramaniam R, Dillon A, Armstrong BK, O'Connell DL. Are
23.
Aboriginal people more likely to be diagnosed with more advanced
cancer? Med J Australia. 2015;202(4):195–9.
Tervonen HE, Walton R, You H, Baker D, Roder D, Currow D, et al. After
accounting for competing causes of death and more advanced stage, do
Aboriginal and Torres Strait Islander peoples with cancer still have worse
survival? A population-based cohort study in New South Wales. BMC
Cancer. 2017;17(1):398.
24. Markham D, Biddle N. Indigenous population change in the 2016 census.
CAEPR census paper no. 1. Canberra: Centre for Aboriginal Economic Policy
Research, Australian National University; 2016.
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10.1371_journal.pone.0229895.pdf
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Data Availability Statement: All relevant data are
within the manuscript.
|
All relevant data are within the manuscript.
|
RESEARCH ARTICLE
A simulation based difficult conversations
intervention for neonatal intensive care unit
nurse practitioners: A randomized controlled
trial
Roberta Bowen1, Kate M. Lally2,3, Francine R. Pingitore3,4, Richard Tucker1, Elisabeth
C. McGowan1,3, Beatrice E. LechnerID
1,3*
1 Department of Neonatology, Women & Infants Hospital, Providence, RI, United States of America,
2 Program in Palliative Care, Care New England Health System, Providence, RI, United States of America,
3 Warren Alpert Medical School of Brown University, Providence, RI, United States of America,
4 Department of Pediatrics, Hasbro Children’s Hospital, Providence, RI, United States of America
* blechner@wihri.org
Abstract
Background
Neonatal nurse practitioners are often the front line providers in discussing unexpected
news with parents. This study seeks to evaluate whether a simulation based Difficult Con-
versations Workshop for neonatal nurse practitioners leads to improved skills in conducting
difficult conversations.
Methods
We performed a randomized controlled study of a simulation based Difficult Conversa-
tions Workshop for neonatal nurse practitioners (n = 13) in a regional level IV neonatal
intensive care unit to test the hypothesis that this intervention would improve communica-
tion skills. A simulated test conversation was performed after the workshop by the inter-
vention group and before the workshop by the control group. Two independent blinded
content experts scored each conversation using a quantitative communication skills per-
formance checklist and by assigning an empathy score. Standard statistical analysis was
performed.
Results
Randomization occurred as follows: n = 5 to the intervention group, n = 7 to the control
group. All participants were analyzed in each group. Participation in the simulation based
Difficult Conversations Workshop increases participants’ empathy score (p = 0.015) and the
use of communication skills (p = 0.013) in a simulated clinical encounter.
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OPEN ACCESS
Citation: Bowen R, Lally KM, Pingitore FR, Tucker
R, McGowan EC, Lechner BE (2020) A simulation
based difficult conversations intervention for
neonatal intensive care unit nurse practitioners: A
randomized controlled trial. PLoS ONE 15(3):
e0229895. https://doi.org/10.1371/journal.
pone.0229895
Editor: Karen-Leigh Edward, Swinburne University
of Technology, AUSTRALIA
Received: December 6, 2019
Accepted: February 16, 2020
Published: March 9, 2020
Peer Review History: PLOS recognizes the
benefits of transparency in the peer review
process; therefore, we enable the publication of
all of the content of peer review and author
responses alongside final, published articles. The
editorial history of this article is available here:
https://doi.org/10.1371/journal.pone.0229895
Copyright: © 2020 Bowen et al. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
Data Availability Statement: All relevant data are
within the manuscript.
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1 / 12
PLOS ONEFunding: The authors received no specific funding
for this work.
Competing interests: The authors have declared
that no competing interests exist.
Conclusions
Our study demonstrates that a lecture and simulation based Difficult Conversations Work-
shop for neonatal nurse practitioners improves objective communication skills and empathy
in conducting difficult conversations.
Difficult conversations simulation in the NICU
Introduction
The ability to communicate effectively with patients’ families is an essential skill for those caring
for infants in the neonatal intensive care unit (NICU). Delivering bad news is a skill set not typi-
cally taught in the formal education of advanced practice registered nurses. In the United States,
these advanced practice registered nurses, or nurse practitioners (NPs), provide care alongside
physicians, often in a role similar to the physician’s role and sometimes in lieu of the physician.
In the NICU, neonatal NPs diagnose and treat infants, perform procedures and interact with
and provide support to parents. Thus, acquisition of skills for leading difficult conversations is
essential for nurse practitioners to be successful in their full scope of practice. Conducting
research on communication skills training in the clinical setting is challenging and the current
status of the field does not allow for the identification of one gold standard [1, 2]. Even fewer
studies exist in the context of neonatology. Neonatal NPs feel that their education is lacking in
this key component of practice [3], and studies of NICU communication skills did not include
NPs in the assessment [4] or only measured NPs’ self-reported and thus subjective outcomes
[5]. The complicated communication task of delivering bad news to the parents of infants is
fraught with discomfort and uncertainty for the practitioner delivering the news [6], especially
given that bad news around the birth of an infant is not in line with parental expectations.
Most clinicians rely on skills demonstrated by mentors or those learned by trial and error,
despite the fact that taking part in a formal program to enhance communication skills leads to
an improvement in communication skills [7, 8], while studies have demonstrated that patients
desire good communication [9] and that communication skills can be taught and retained
[10]. Parents of infants in the NICU are at very high risk for adverse mental health outcomes
[11]. Thus, communication approaches used by the medical team, including NPs, gain utmost
importance. When working in level 1 and 2 community hospital nurseries, neonatal nurse
practitioners are often the front line providers in discussing unexpected news with parents.
Thus, we sought to evaluate the hypothesis that a lecture and simulation based Difficult Con-
versations Workshop for the neonatal nurse practitioners will increase skill in conducting dif-
ficult conversations with patients’ families.
Materials and methods
We performed a randomized controlled prospective study of a simulation based Difficult Con-
versations Workshop for NICU nurse practitioner staff at a large regional level IV NICU in the
Northeast of the United States. The research related to human use has been approved by the
Women & Infants Hospital Institutional Review Board. Written informed consent was
obtained. In this 80 bed level 3 NICU, a simulation based Difficult Conversations Workshop is
part of the training program for the neonatal-perinatal medicine fellows.
Participants
The clinical NICU nurse practitioner group consists of 31 nurse practitioners, who work in a
level IV regional NICU as well as multiple level II community hospital NICUs. All NPs were
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invited to participate in the study. The NPs were recruited to participate in the study using
email as well as a presentation of the study by one of the study authors at a monthly NP staff
meeting. Recruitment and workshop were performed from May 2016 to July 2016. Each three
hour session of the simulation based Difficult Conversations Workshop consisted of 4–6 par-
ticipants. Participants in each session were randomized using the web-based randomization
tool Randomizer.org to either the intervention or control group. Simple randomization was
performed with a randomization allocation of 1:1. Randomization was performed at the begin-
ning of the workshop. Both groups participated in a three hour workshop.
Study structure (Fig 1)
Prior to randomization, all study participants (intervention group and control group) filled
out an anonymous pre-workshop survey. Then, after randomization, the control group per-
formed the Test Scenario, which was a standardized clinically relevant simulation scenario
using trained improvisational actors as parents. They then took part in the simulation based
Difficult Conversations Workshop so as to allow them the opportunity to benefit from the
learning opportunity. The intervention group, on the other hand, took part in the simulation
based Difficult Conversations Workshop prior to performing the Test Scenario. At the end of
the Workshop and Test Scenarios, all participants filled out a post-workshop survey. Data col-
lection on the pre- and post-workshop surveys ascertained demographics, past experiences
with communication skills training, past experiences leading difficult conversations in the clin-
ical setting, as well as feedback on the workshop. The workshop took place in the Care New
England Simulation Center at Women & Infants Hospital.
Simulation based difficult conversations Workshop
The simulation based Difficult Conversations Workshop was a 4.5 hour workshop that con-
sisted of three components (Fig 1). First, the participants were presented with a lecture on dif-
ficult conversation communication skills. This lecture was 30 minutes long and highlighted
the basic tenets of communication skills in healthcare. Next, each participant took part in a
simulation Teaching Scenario, a clinically relevant practice difficult conversation with a
trained improvisational actor that was about ten minutes long, while remaining participants
observed the scenario via live video. Finally, at the end of the Teaching Scenarios, a facilitated
debriefing session was held for all participants. This debriefing session was usually an hour to
two hours in length. The workshop was led by a neonatologist who is the director of and
trainer in the Difficult Conversations for Neonatal Fellows Training program. Each simulated
Teaching Scenario reflected a situation typical of the NICU NP’s work environment. The
trained actors functioned in the role of a parent during the simulated difficult conversations.
Performance assessment
The Test Scenario was a 10 minute conversation with a trained improvisational actor in a sim-
ulated standardized clinical scenario. The encounter took place in the Women & Infants Hos-
pital Simulation Center and was videotaped, but not shown via live video to any intervention
NPs, control NPs or trainers (in contrast to the Teaching Scenarios). This was done to main-
tain the integrity of the standardized Test Scenario for all intervention and control NPs. The
Test Scenario simulation was scored at a later date independently by two blinded content
expert observers. One observer was a board certified palliative care physician; the other
observer was a doctorally prepared pediatric psychiatric clinical nurse specialist with expertise
in interpersonal communication and relationships. These observers did not work with or
know any of the participants and were blinded to participant group. In order to assess the
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Fig 1. Study flow diagram. NNP = neonatal nurse practitioner.
https://doi.org/10.1371/journal.pone.0229895.g001
performance of each participant, the observers completed a quantitative communication skills
performance checklist as well as assigning an empathy score to rate the participant’s level of
empathy on a scale of 1 (no empathy) to 10 (extremely empathetic) (Fig 2). The quantitative
communication skills performance checklist was developed using a two-step approach. A
review of the literature was performed for communication skill checklists, then the final check-
list was curated by the authors via expert consensus. The empathy score was developed via
expert consensus.
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Fig 2. Evaluation tool utilized by blinded independent content experts to evaluate recorded Difficult Conversations Test Scenarios
performed by participants. NNP = neonatal nurse practitioner.
https://doi.org/10.1371/journal.pone.0229895.g002
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Teaching & Test Scenarios
In Teaching Scenario #1, a mother was informed that child protective services had informed the
hospital that they would investigate the mother after her twins were born. In Teaching Scenario
#2, a mother was informed that her infant had failed a congenital heart disease screening and
needed to be transferred to a regional NICU to rule out congenital heart disease. In the Test Sce-
nario, a mother was told that there was clinical suspicion of Down Syndrome in her newborn.
Data analysis
Statistical analysis was performed as follows. Differences in exhibition of communication skills
between the groups was tested using Fisher’s exact test, and numbers of skills demonstrated
and empathy scores were compared via the Student’s t-test.
Inter-rater reliability on the scoring of the Test Scenario was measured for the communica-
tion skills items using a pooled kappa statistic. Rater agreement on empathy scores was calcu-
lated using the two one-sided t-tests (TOST) method, with agreement limits of ±3 points.
Results
13 out of 31 participated; n = 5 in the intervention group, n = 7 in the control group. One
video could not be assessed due to technical difficulties with sound recording. Demographics
of the group and experience with difficult conversations as a trainee and in the clinical setting
are presented in Table 1.
Table 1. Participant demographics and experience with difficult conversations.
Survey questions
Number of years as an NP taking care of infants
0–1
2–5
6–10
> 10
Average number of weekly hours worked
12–24
25–32
33–40
41–55
> 55
NICU level most often worked in
3 or 4
2
1
Any work in level 1/2 community hospital nursery
yes
Take transport call
yes
Received education during training/career on communicating bad news to the family of an infant
yes
Number of times present in the past year when bad news was given to the family of an infant
0
n = 13 (%)
1 (8)
5 (38)
2 (15)
4 (31)
0 (0)
2 (17)
3 (25)
3 (25)
4 (33)
12 (92)
1 (8)
0 (0)
9 (69)
7 (54)
2 (15)
0 (0)
(Continued )
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Table 1. (Continued)
Survey questions
1–2
3 or more
Number of times in the past year you gave bad news to the family of an infant
0
1–2
3 or more
Extent to which you feel competent to deliver bad news to a family of an infant in your care
not competent
somewhat competent
moderately competent
competent
don’t know
https://doi.org/10.1371/journal.pone.0229895.t001
n = 13 (%)
3 (23)
10 (77)
3 (23)
5 (38)
5 (38)
2 (15)
7 (54)
3 (23)
1 (8)
0 (0)
Participation in the simulation based Difficult Conversations Workshop increases the use of
communication skills in a simulated clinical encounter and increases participants’ empathy
score.
In the intervention group, the mean number of predefined communication skill behaviors
exhibited by each participant was higher than in the control group (12 skills compared to 8
skills per scenario; p = 0.013). Among the individual communication skill behaviors compared
individually between the groups, only “asks parents open-ended questions” was significantly
higher in the post intervention group (p = 0.047). In the intervention group, the mean empa-
thy score was higher compared to the control group (8.4 compared to 6.2; p = 0.015).
Independent of participation in the simulation based Difficult Conversations Workshop, some
communication skills are used more often than others.
The frequency with which individual communication skills were applied in simulated clini-
cal encounters was similar among the two groups. Some skills, such as “Introduces/Re-intro-
duces self”, were almost always displayed, while others, such as “Asks parents to repeat back”
were never displayed (Table 2).
Interobserver agreement between the two independent blinded reviewers in communica-
tion skill scores was 74% agreement overall (range for individual participants between 59 and
94% and for individual skills between 42% and 100%) with an interrater reliability pooled
kappa of 0.77. In the empathy score, the top three scores and the bottom two were identical
between the two reviewers, while there were some differences in the middle of the field. The
two one sided t-tests demonstrated equivalence of empathy score differences, with differences
within three points considered equivalent (p = 0.0030).
On the post-intervention survey, participants rated the workshop between 5.8 and 6.0 on a
variety of measures on a 6.0 scale (Table 3).
Discussion
Our study demonstrates that an intervention consisting of a structured lecture and simulation
based communication skills workshop for neonatal NPs leads to an increase in the use of spe-
cific communication skills as well as improvement in a perceived empathy score in a simulated
difficult conversation setting. This is the first study assessing these objective outcomes in neo-
natal nurse practitioners, while a previous study demonstrated improved self-reported confi-
dence in difficult conversations in neonatal fellows and nurse practitioners [5]. As nurse
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Table 2. Utilized communications skills.
Communications skill
Introduces/Re-introduces self
Body Position (Seated/Positioned at eye level to parent; not hovering
over parent; lean forward toward parent)
Makes statements that furnish hope (“I hope I am wrong about this”)
Summarizes and makes a follow up plan. Assures parents they will be
available
Avoids medical jargon (“atypical features” instead of dysmorphic
features/Down Syndrome/Trisomy 21)
Uses expressions that communicate empathy (“I wish I had better
news”)
Uses the baby’s name during the conversation
Suggests additional supportive resources for the parents (chaplain,
social worker, etc)
Asks what the parent(s) know/suspect
Speaks slowly in short simple sentences
Acknowledges the parents’ emotions (“I can see how worried you
are,” “I know this must be shocking,” “It’s OK to cry,” “I can see that
you don’t know what to say”)
Asks parents open-ended questions
Asks parent(s) if there is anyone else they would like to be present for
the meeting
Foreshadows the bad news (“I’m sorry but I have bad news”)
Pauses consciously and allows for silence after delivering bad news
If visitors present, gives family a choice on who should be present for
the meeting
Asks parents to repeat back what they have been told
https://doi.org/10.1371/journal.pone.0229895.t002
Intervention group
(n = 5) (%)
Control group
(n = 7) (%)
100
100
100
100
100
80
80
90
50
80
40
80
70
70
60
00
00
86
86
86
79
64
64
50
50
43
43
43
36
29
29
21
00
00
practitioners are important members of the multidisciplinary teams providing care for neo-
nates in many NICUs across the United States, it is important to train neonatal NPs in difficult
conversations and breaking bad news, particularly in the current changing climate in health-
care, where NPs are providing more and more care in academic medical centers as well as
community hospitals.
Objectively assessable specific communication skills are important components of difficult
conversations in the clinical setting. Our results are supported by other studies, which have
shown that simulation is an effective tool for realistic training in difficult conversations in the
context of neonatal care, for example in decision-making at the limits of viability [12], as well
as in pediatrics [8], and leads to improved actual communication skills [7]. Studies also
Table 3. Participant workshop evaluations.
Mean score (1–6 [extremely ineffective/unsatisfactory—extremely effective/outstanding])
The lecture on communication skills was helpful/informative
The simulation was helpful/informative
The facilitated debriefing was helpful/informative
The environment felt safe to ask questions/share thoughts
After attending the workshop, I feel more competent to lead a difficult conversation
Overall satisfaction with the session
The workshop should be part of neonatal NP orientation/training
https://doi.org/10.1371/journal.pone.0229895.t003
n = 13
5.9
5.9
6.0
6.0
5.8
6.0
6.0
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PLOS ONEDifficult conversations simulation in the NICU
demonstrate that taking part in a formal program aimed at improving communication skills in
difficult conversations influences pediatric provider confidence in managing difficult clinical
scenarios [13], as well as leading to better humanistic skills and better delivery of bad news
[14] and to improved knowledge and comfort levels in communication [15].
Communication skills training has also been used successfully to improve residents’ skills
in code status discussions [16], for genetic counseling training [17], communication for anes-
thesia residents[10] and the disclosure of medical errors [18]. Furthermore, simulation has
been shown to improve long term retention of skills and self-reported changes in behavior
[19] [15] [20] as well as the long term retention of confidence in one’s communication skills in
breaking bad news [21].
While it is important to assess objective communication skills in difficult conversations,
not every aspect of the level of skill that care providers demonstrate can be assessed using a
specific skill checklist. In addition to the objective communication skills that are necessary for
breaking bad news, empathy plays a significant role in patient-provider communication.
Parents prioritize communication[9] and want caring providers, for example when receiving
prenatal consults by neonatologists for congenital anomalies [22]. Additionally, studies have
shown that physician empathy is associated with increased adherence to therapy and improved
clinical outcomes [23–25]. While possible differences in communication style between physi-
cians and nurse practitioners have not been studied, nurses’ and physicians’ patterns of com-
munication differ in enacted NICU conversations; physicians provide more biomedical
information while nurses provide more psychosocial information [4].
Furthermore, empathy is an important component of the patient-practitioner interaction
from the practitioner perspective as well. For example, empathy in medical students is associ-
ated with a decrease in burnout [26, 27]. Thus, the empathy score was utilized as an additional
marker of the interaction between the provider and patient.
Our study demonstrates that lecture plus simulation based training improves empathy per-
ceived by an expert observer in addition to improving objective communication skills. Empa-
thy does not lend itself to one simple definition. One approach to categorizing empathy is into
cognitive empathy vs. affective empathy, reviewed in [28], in which cognitive empathy is asso-
ciated with external traits that can be learned, while affective empathy is not. Thus, for the pur-
poses of this study, we defined empathy as a cognitive and thus behavioral trait, which
consequently is a characteristic that lends itself to modification by training. Despite the abun-
dance of alternative definitions for empathy [28], the two independent content expert observ-
ers were able to assess empathy in the Test Scenarios with high interrater reliability. They
ranked the level of empathy that participants displayed in scenarios similarly: both their high-
est and lowest ranking participants were identical, irrespective of the actual number of the
empathy score on the scale. Such concordance was achieved despite the fact that the content
expert observers were not trained to look for specific signs, but received the sole instructions
to score scenarios on a scale of 1 (no empathy) to 10 (extremely empathic).
One limitation of this study is that individual participants were not tested using both a pre-
and a post-intervention scenario, given that the increased time commitment necessary for that
experimental model was not possible due to participants’ clinical staffing requirements. The
disadvantage of not having the same participants in both the pre- and post-intervention group
is a decrease in the signal to noise ratio. However, given that we nonetheless saw significant
improvement in both specific skills and overall empathy scores, we hypothesize that the results
would have been even stronger if interpersonal differences had been accounted for using the
same participants for both arms of the study.
Another limitation of the study is that the communication skill result and the empathy
score result may not be independent variables, as it is possible that the observing content
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PLOS ONEDifficult conversations simulation in the NICU
expert evaluators were subconsciously influenced in their assessment of the empathy score
based on the number of communication skills demonstrated. If this were the case, this would
not detract from the validity of the results. In fact, this mechanism, if it were at play in these
assessments, would support the hypothesis that empathy can be learned as a specific skill set,
aligning with the cognitive/behavioral definition of empathy, thus suggesting that specific
learned communicative behavioral skills may impact the patient’s perception of empathy.
Furthermore, we recognize that only 13/31 NPs took part in this workshop. Upon further
investigation, the most common reason for non-participation included the complex schedul-
ing of clinical load. To see if these results are generalizable, a larger cohort may be needed.
Nonetheless, this small study demonstrated a difference between the intervention and control
groups.
Since others have shown that trainees and their program directors are more lenient in their
assessment of communication simulation performance compared to patients and communica-
tion experts [29], an advantage of this study is that we utilized independent blinded content
experts to perform the video assessments for both the skills assessment and the empathy score.
An additional approach that may improve difficult conversation skill and empathy scores
may be to incorporate erroneous examples into the lecture component of the workshop, as
these have been shown to improve breaking bad news simulation performance in nursing stu-
dents [30].
In summary, our study demonstrates that a lecture and simulation based Difficult Conver-
sations Simulation workshop improves objective communication skills and empathy in neona-
tal nurse practitioners in conducting difficult conversations with patients’ families as perceived
by an expert observer. Future studies will need to address the long term retention of learned
communication skills as well as the transfer of communication skills from simulation settings
to actual clinical practice.
Author Contributions
Conceptualization: Roberta Bowen, Elisabeth C. McGowan, Beatrice E. Lechner.
Data curation: Roberta Bowen, Kate M. Lally, Francine R. Pingitore, Elisabeth C. McGowan,
Beatrice E. Lechner.
Formal analysis: Richard Tucker, Elisabeth C. McGowan, Beatrice E. Lechner.
Investigation: Roberta Bowen, Kate M. Lally, Francine R. Pingitore, Elisabeth C. McGowan,
Beatrice E. Lechner.
Methodology: Kate M. Lally, Richard Tucker, Elisabeth C. McGowan, Beatrice E. Lechner.
Project administration: Roberta Bowen, Elisabeth C. McGowan, Beatrice E. Lechner.
Resources: Beatrice E. Lechner.
Supervision: Beatrice E. Lechner.
Writing – original draft: Roberta Bowen, Beatrice E. Lechner.
Writing – review & editing: Roberta Bowen, Kate M. Lally, Francine R. Pingitore, Richard
Tucker, Elisabeth C. McGowan, Beatrice E. Lechner.
References
1. Ditton-Phare P, Loughland C, Duvivier R, Kelly B. Communication skills in the training of psychiatrists:
A systematic review of current approaches. Aust N Z J Psychiatry. 2017; 51(7):675–92. https://doi.org/
10.1177/0004867417707820 PMID: 28462636
PLOS ONE | https://doi.org/10.1371/journal.pone.0229895 March 9, 2020
10 / 12
PLOS ONEDifficult conversations simulation in the NICU
2. Deveugele M. Communication training: Skills and beyond. Patient Educ Couns. 2015; 98(10):1287–91.
https://doi.org/10.1016/j.pec.2015.08.011 PMID: 26298220
3. Botwinski C. NNP education in neonatal end-of-life care: a needs assessment. MCN Am J Matern Child
Nurs. 2010; 35(5):286–92. https://doi.org/10.1097/NMC.0b013e3181e62440 PMID: 20706099
4.
Lamiani G, Meyer EC, Browning DM, Brodsky D, Todres ID. Analysis of enacted difficult conversations
in neonatal intensive care. J Perinatol. 2009; 29(4):310–6. https://doi.org/10.1038/jp.2008.228 PMID:
19148109
5. Boss RD, Urban A, Barnett MD, Arnold RM. Neonatal Critical Care Communication (NC3): training
NICU physicians and nurse practitioners. J Perinatol. 2013; 33(8):642–6. https://doi.org/10.1038/jp.
2013.22 PMID: 23448940
6. Dosanjh S, Barnes J, Bhandari M. Barriers to breaking bad news among medical and surgical residents.
Med Educ. 2001; 35(3):197–205. https://doi.org/10.1046/j.1365-2923.2001.00766.x PMID: 11260440
7. Meyer EC, Brodsky D, Hansen AR, Lamiani G, Sellers DE, Browning DM. An interdisciplinary, family-
focused approach to relational learning in neonatal intensive care. J Perinatol. 2011; 31(3):212–9.
https://doi.org/10.1038/jp.2010.109 PMID: 20706191
8.
Tobler K, Grant E, Marczinski C. Evaluation of the impact of a simulation-enhanced breaking bad news
workshop in pediatrics. Simul Healthc. 2014; 9(4):213–9. https://doi.org/10.1097/SIH.
0000000000000031 PMID: 24787559
9. Meyer EC, Ritholz MD, Burns JP, Truog RD. Improving the quality of end-of-life care in the pediatric
intensive care unit: parents’ priorities and recommendations. Pediatrics. 2006; 117(3):649–57. https://
doi.org/10.1542/peds.2005-0144 PMID: 16510643
10. Karam VY, Barakat H, Aouad M, Harris I, Park YS, Youssef N, et al. Effect of a simulation-based work-
shop on breaking bad news for anesthesiology residents: an intervention study. BMC Anesthesiol.
2017; 17(1):77. https://doi.org/10.1186/s12871-017-0374-7 PMID: 28615002
11. Roque ATF, Lasiuk GC, Radunz V, Hegadoren K. Scoping Review of the Mental Health of Parents of
Infants in the NICU. J Obstet Gynecol Neonatal Nurs. 2017; 46(4):576–87. https://doi.org/10.1016/j.
jogn.2017.02.005 PMID: 28506679
12. Boss RD, Donohue PK, Roter DL, Larson SM, Arnold RM. "This is a decision you have to make": using
simulation to study prenatal counseling. Simul Healthc. 2012; 7(4):207–12. https://doi.org/10.1097/SIH.
0b013e318256666a PMID: 22569285
13. Dickens DS. Building competence in pediatric end-of-life care. J Palliat Med. 2009; 12(7):617–22.
https://doi.org/10.1089/jpm.2009.0032 PMID: 19594346
14. Vetto JT, Elder NC, Toffler WL, Fields SA. Teaching medical students to give bad news: does formal
instruction help? J Cancer Educ. 1999; 14(1):13–7. https://doi.org/10.1080/08858199909528567
PMID: 10328318
15. Vadnais MA, Dodge LE, Awtrey CS, Ricciotti HA, Golen TH, Hacker MR. Assessment of long-term
knowledge retention following single-day simulation training for uncommon but critical obstetrical
events. J Matern Fetal Neonatal Med. 2012; 25(9):1640–5. https://doi.org/10.3109/14767058.2011.
648971 PMID: 22191668
16. Szmuilowicz E, Neely KJ, Sharma RK, Cohen ER, McGaghie WC, Wayne DB. Improving residents’
code status discussion skills: a randomized trial. J Palliat Med. 2012; 15(7):768–74. https://doi.org/10.
1089/jpm.2011.0446 PMID: 22690890
17. Holt RL, Tofil NM, Hurst C, Youngblood AQ, Peterson DT, Zinkan JL, et al. Utilizing high-fidelity crucial
conversation simulation in genetic counseling training. Am J Med Genet A. 2013; 161A(6):1273–7.
https://doi.org/10.1002/ajmg.a.35952 PMID: 23633180
18. Matos FM, Raemer DB. Mixed-realism simulation of adverse event disclosure: an educational method-
ology and assessment instrument. Simul Healthc. 2013; 8(2):84–90. https://doi.org/10.1097/SIH.
0b013e31827cbb27 PMID: 23334365
19. Hughes S, Cusack J, Fawke J. PC.68 Learning point recall and self-perceived behavioural change fol-
lowing multi-disciplinary high fidelity point of care simulation training. Arch Dis Child Fetal Neonatal Ed.
2014; 99 Suppl 1:A59.
20. Bender J, Kennally K, Shields R, Overly F. Does simulation booster impact retention of resuscitation
procedural skills and teamwork? J Perinatol. 2014; 34(9):664–8. https://doi.org/10.1038/jp.2014.72
PMID: 24762413
21. Karkowsky CE, Landsberger EJ, Bernstein PS, Dayal A, Goffman D, Madden RC, et al. Breaking Bad
News in obstetrics: a randomized trial of simulation followed by debriefing or lecture. J Matern Fetal
Neonatal Med. 2016; 29(22):3717–23. https://doi.org/10.3109/14767058.2016.1141888 PMID:
26786087
PLOS ONE | https://doi.org/10.1371/journal.pone.0229895 March 9, 2020
11 / 12
PLOS ONEDifficult conversations simulation in the NICU
22. Miquel-Verges F, Woods SL, Aucott SW, Boss RD, Sulpar LJ, Donohue PK. Prenatal consultation with
a neonatologist for congenital anomalies: parental perceptions. Pediatrics. 2009; 124(4):e573–9.
https://doi.org/10.1542/peds.2008-2865 PMID: 19736266
23. Hojat M, Louis DZ, Markham FW, Wender R, Rabinowitz C, Gonnella JS. Physicians’ empathy and clin-
ical outcomes for diabetic patients. Acad Med. 2011; 86(3):359–64. https://doi.org/10.1097/ACM.
0b013e3182086fe1 PMID: 21248604
24. Rakel D, Barrett B, Zhang Z, Hoeft T, Chewning B, Marchand L, et al. Perception of empathy in the ther-
apeutic encounter: effects on the common cold. Patient Educ Couns. 2011; 85(3):390–7. https://doi.
org/10.1016/j.pec.2011.01.009 PMID: 21300514
25. Del Canale S, Louis DZ, Maio V, Wang X, Rossi G, Hojat M, et al. The relationship between physician
empathy and disease complications: an empirical study of primary care physicians and their diabetic
patients in Parma, Italy. Acad Med. 2012; 87(9):1243–9. https://doi.org/10.1097/ACM.
0b013e3182628fbf PMID: 22836852
26. Brazeau CM, Schroeder R, Rovi S, Boyd L. Relationships between medical student burnout, empathy,
and professionalism climate. Acad Med. 2010; 85(10 Suppl):S33–6. https://doi.org/10.1097/ACM.
0b013e3181ed4c47 PMID: 20881699
27. Gleichgerrcht E, Decety J. Empathy in clinical practice: how individual dispositions, gender, and experi-
ence moderate empathic concern, burnout, and emotional distress in physicians. PLoS One. 2013; 8
(4):e61526. https://doi.org/10.1371/journal.pone.0061526 PMID: 23620760
28. Preusche I, Lamm C. Reflections on empathy in medical education: What can we learn from social neu-
rosciences? Adv Health Sci Educ Theory Pract. 2016; 21(1):235–49. https://doi.org/10.1007/s10459-
015-9581-5 PMID: 25597025
29. Wayne DB, Cohen E, Makoul G, McGaghie WC. The impact of judge selection on standard setting for a
patient survey of physician communication skills. Acad Med. 2008; 83(10 Suppl):S17–20. https://doi.
org/10.1097/ACM.0b013e318183e7bd PMID: 18820492
30. Schmitz FM, Schnabel KP, Stricker D, Fischer MR, Guttormsen S. Learning communication from erro-
neous video-based examples: A double-blind randomised controlled trial. Patient Educ Couns. 2017;
100(6):1203–12. https://doi.org/10.1016/j.pec.2017.01.016 PMID: 28179074
PLOS ONE | https://doi.org/10.1371/journal.pone.0229895 March 9, 2020
12 / 12
PLOS ONE
| null |
10.1088_1361-6579_ad0426.pdf
|
Data availability statement
The data cannot be made publicly available upon publication because they are not available in a format that is
sufficiently accessible or reusable by other researchers. The data that support the findings of this study are
available upon reasonable request from the authors.
|
Data availability statement The data cannot be made publicly available upon publication because they are not available in a format that is sufficiently accessible or reusable by other researchers. The data that support the findings of this study are available upon reasonable request from the authors.
|
Physiol. Meas. 44 (2023) 125004
https://doi.org/10.1088/1361-6579/ad0426
RECEIVED
20 June 2023
REVISED
11 September 2023
ACCEPTED FOR PUBLICATION
17 October 2023
PUBLISHED
15 December 2023
PAPER
Photoplethysmography-based cuffless blood pressure estimation:
an image encoding and fusion approach
Yinsong Liu1
1 Department of School of Electronic Engineering, Beijing University of Posts and Telecommunication, Beijing 100876, Peopleʼs Republic
, Junsheng Yu1,2,3,* and Hanlin Mou4
of China
2 School of Physics and Electronic Information, Anhui Normal University, Wuhu 241003, Peopleʼs Republic of China
3 School of Intelligence and Digital Engineering, Luoyang Vocational College of Science and Technology, Luoyang 471000, Peopleʼs
Republic of China
4 Chinese Academy of Sciences Aerospace Information Research Institute, Beijing 100094, Peopleʼs Republic of China
* Author to whom any correspondence should be addressed.
E-mail: ysliu@bupt.edu.cn, jsyu@bupt.edu.cn and mouhl@aircas.ac.cn
Keywords: blood pressure, time series to image conversion, deep learning, photoplethysmography, physiological signals
Abstract
Objective. Photoplethysmography (PPG) is a promising wearable technology that detects volumetric
changes in microcirculation using a light source and a sensor on the skin’s surface. PPG has been
shown to be useful for non-invasive blood pressure (BP) measurement. Deep learning-based BP
measurements are now gaining popularity. However, almost all methods focus on 1D PPG. We aimed
to design an end-to-end approach for estimating BP using image encodings from a 2D perspective.
Approach. In this paper, we present a BP estimation approach based on an image encoding and fusion
(BP-IEF) technique. We convert the PPG into five image encodings and use them as input. The
proposed BP-IEF consists of two parts: an encoder and a decoder. In addition, three kinds of well-
known neural networks are taken as the fundamental architecture of the encoder. The decoder is a
hybrid architecture that consists of convolutional and fully connected layers, which are used to fuse
features from the encoder. Main results. The performance of the proposed BP-IEF is evaluated on the
UCI database in both non-mixed and mixed manners. On the non-mixed dataset, the root mean
square error and mean absolute error for systolic BP (SBP) are 13.031 mmHg and 9.187 mmHg
respectively, while for diastolic BP (DBP) they are 5.049 mmHg and 3.810 mmHg. On the mixed
dataset, the corresponding values for SBP are 4.623 mmHg and 3.058 mmHg, while for DBP the values
are 2.350 mmHg and 1.608 mmHg. In addition, both SBP and DBP estimation on the mixed dataset
achieved grade A compared to the British Hypertension Society standard. The DBP estimation on the
non-mixed dataset also achieved grade A. Significance. The results indicate that the proposed approach
has the potential to improve on the current mobile healthcare for cuffless BP measurement.
1. Introduction
The accelerated pace of modern society, along with people’s more excessive lifestyles, has resulted in an
increasing number of individuals suffering from cardiovascular disease (CVD) such as hypertension and
hyperlipidemia, which is significantly affecting people’s overall health. As the number of CVD cases continues to
increase, this disease poses a significant health threat, and its high mortality rate has generated significant
concern within the medical community. Early prevention of CVD has emerged as a crucial challenge in the field
of modern medicine. Blood pressure (BP) is the lateral pressure of blood against the blood vessel wall, which is a
significant indication of the human circulatory system (Rundo et al 2018). It is widely recognized as an indicator
of health, and forms the fundamental basis for diagnosis and treatment in clinical practice. As a result, accurate
BP monitoring has become critical in the prevention and management of CVD. The invasive method and the
cuff-based sphygmomanometer method are the two primary approaches for BP monitoring. The invasive
© 2023 Institute of Physics and Engineering in Medicine
Physiol. Meas. 44 (2023) 125004
Y Liu et al
method is used in intensive care units to directly measure BP in the most precise way possible using a catheter
put into the artery. Due to the invasiveness of the catheter, this procedure is typically performed by doctors and
specialist nurses (Griffin et al 2014). As a result, invasive methods are unsuitable for routine BP monitoring.
However, cuff-based sphygmomanometers restrict body movement during measurement and the method,
being cumbersome, is unsuitable for prolonged BP monitoring (Kaniusas et al 2006). Therefore, cuffless BP
measuring technologies have attracted a lot of attention. The photoplethysmogram (PPG) signal, a pulsatile
waveform reflecting blood volume changes in peripheral tissue, has been explored as a potentially valuable signal
in non-invasive BP monitoring. Many studies (Hosanee et al 2020, Elgendi et al 2019) have clearly demonstrated
the association between PPG and BP. Pulse transfer, pulse arrival time, and pulse wave velocity have been
frequently utilized for early cuffless BP estimation (Chua and Heneghan 2006, Zhang et al 2011, Ma et al 2018).
However, these methods require calibration for specific model parameters while potentially ignoring detailed
PPG characteristics related to BP.
The development of artificial intelligence technologies has led to the widespread utilization of deep learning
algorithms in BP estimation. Most research employs 1D PPG signals as input, and two main approaches exist in
this domain. One approach involves manual feature extraction, where significant features are manually
extracted from the PPG signal and subsequently fed into a neural network for BP calculation. The other
approach is an end-to-end method that automatically extracts features from the PPG signal and estimates BP
values using a neural network. The former needs manual feature extraction, which is time-consuming and not
suitable. However, the latter approach has limitations and cannot guarantee the accuracy of the features.
The first feature extraction method utilizes the features extracted from the PPG signal as the input for the
neural networks. Kurylyak et al (2013) demonstrated that artificial neural networks outperform traditional
linear regression algorithms by extracting a set of properties from PPG signals. Duan et al (2016) used three
distinct feature sets, each consisting of 11 features, to predict systolic BP (SBP), diastolic BP (DBP), and mean BP
(MBP). The mean absolute error (MAE) for SBP, DBP, and MBP in this research is 4.77 ± 7.68, 3.67 ± 5.69,
and 3.85 ± 5.87mmHg, respectively. Yang et al (2020) extracted 90 complex features from PPG and
electrocardiogram (ECG) signals and utilized three regression models (ANN, SVM, and LASSO) to predict SBP
and DBP. Wu et al (2018) utilized handcrafted features and personal features as input to design a deep neural
network for BP estimation. Wang et al (2023) used ECG and PPG signals to estimate BP. They employed nine
different feature parameters and a classification algorithm to develop multiple linear regression models for BP
estimation. In their study, the MAE values were 4.46 mmHg for SBP and 4.20 mmHg for DBP. A typical
problem with these methods is that the accuracy of the final BP estimation is strongly affected by the quality of
features extracted from PPG, thus feature extraction should be performed carefully.
In the second end-to-end approach, the PPG signal undergoes several pre-processing steps before being
input into the neural networks. Mou and Yu (2021) employed convolution neural network (CNN) in
combination with long short-term memory network (LSTM) to enhance continuous BP estimation. Baek et al
(2019) employed PPG and ECG as input to train a deep convolutional neural network. Paviglianiti et al (2021)
utilized PPG and ECG as inputs, and they used multiple neural networks to predict BP. Eom et al (2020)
proposed an end-to-end BP estimate approach that is based on CNN and recurrent neural network (RNN),
utilizing ECG and PPG as input. In their study, the MAE for SBP and DBP was achieved at 1.10mmHg and
0.58 mmHg, respectively. Zhong et al (2023) proposed a model for continuous cuffless BP estimation using a
mixed attention gating U-Net. In their study, they achieved an MAE of 3.49mmHg for SBP and 2.11 mmHg for
DBP. Hu et al (2022) proposed an end-to-end continuous BP estimation method, named MSF-MTLNet. They
utilized multi-task learning techniques and attention mechanisms for searching and fusing multi-scale features.
The MAE for SBP and DBP reached 0.97 ± 8.87 mmHg and 0.55 ± 4.23 mmHg, respectively. Qin et al (2023)
proposed a deep learning network that is based on a modified ResNet34 and channel attention mechanism for
continuous BP prediction using only PPG signals. The model was evaluated using the UCI dataset, and obtained
MAE values of 5.98 mmHg for SBP and 3.24 for DBP. These methods often rely on 1D CNNs to extract features
automatically. However, CNNs are widely utilized in the field of computer vision, and it remains to be verified
whether 1D CNNs are effective for feature extraction.
All the aforementioned methods typically utilize 1D PPG signals. Several prior studies have employed image
tools to analyze and process 1D biosignals. Chen et al (2018) used the visibility graph to analyze intraspinal
pressure fluctuations after spinal cord injury, and the data showed that clinically important information can be
captured using the visibility graph. Shao (2010) built a complex network for the sequence of heartbeat intervals
and confirmed that the assortative coefficient of associated networks could differentiate between healthy
subjects and patients with congestive heart failure. Ji et al (2016) used the visibility graph to analyze EEG signals
to classify normal people and people with workplace stress. To the best of our knowledge, Wang et al (2021) were
the first to use the visibility graph for the challenge of BP estimation and they employed a natural visibility
graph (NVG) constructed from the PPG to train convolutional neural networks. However, their experiments
were based on mixed datasets, resulting in typically low estimating errors. Additionally, the creation of a visibility
2
Physiol. Meas. 44 (2023) 125004
Y Liu et al
graph may result in the loss of many features relating to BP, as it does not consider the morphological properties
of the PPG signal.
In terms of the problem identified in the related literature, our objective is to develop a new approach to
estimate BP from an image-based perspective in order to achieve an improved performance. In this paper, we
propose a novel method for BP estimation based on an end-to-end image encoding and fusion method (BP-
IEF). The proposed method consists of two main components: the encoder and the decoder. The encoder is
responsible for extracting the high-dimensional features from the image encodings, while the decoder is used to
fuse these features and calculate the BP values. Five different image encodings, namely the PPG figure, NVG,
horizontal visibility graph (HVG), Gramian angular summary field (GASF), and Gramian angular difference
field (GADF), are employed as inputs in our method. Due to the variability of the cardiovascular system among
individuals, the subject-independent nature of the training set and the test set results in generally low BP
estimation errors. To evaluate the effectiveness of our method, we designed two dataset segmentation strategies
based on the UCI dataset: mixed and non-mixed. The experimental results demonstrate the competitive
performance of our proposed method.
The objective of this paper is to provide a reliable and accurate estimation of SBP and DBP utilizing PPG
signals in the form of images. Our contributions are as follows:
(1) Based on an image perspective, we propose a novel method named BP-IEF for estimating BP from PPG
signals using the feature fusion technique. BP-IEF consists of encoder and decoder components. The
encoder extracts high-dimensional features from image encoding, while the decoder fuses high-
dimensional features from multiple image encodings. In comparison to the state-of-the-art approaches,
our method shows promising results.
(2) We selected five alternative image encodings as input for BP-IEF, with each encoding reflecting a distinct
characteristic of the PPG waveform. ResNet18, MobileNetv3, and Vit were employed by the encoder for
feature extraction. A feature fusion network was designed for the decoder component to fully fuse the
features of the distinct image encodings. Consequently, BP-IEF combines the advantages of diverse image
encodings to achieve more accurate BP measurements.
(3) We performed validation of BP-IEF on a publicly available dataset, utilizing both non-mixed and mixed
dataset settings. The experimental results have demonstrated the effectiveness of our proposed BP-IEF. It
can estimate BP accurately.
The remainder of this paper is organized as follows: In section 2, we provide a description of the dataset, image
encodings, and our proposed BP-IEF approach. In section 3, we present the numerical results and analyze the
performance of our approach. Section 4 concludes with a brief summary.
2. Material and methods
This section begins with a brief description of the UCI dataset. Subsequently, we introduce our data processing
steps. This is followed by an explanation of the image encodings we utilized. Lastly, we provide a detailed
demonstration of our proposed BP-IEF.
2.1. Dataset
The experiments in this manuscript used the cuffless BP estimation dataset sourced from the University of
California, Irvine (UCI) machine learning library (Kachuee et al 2015). This dataset is a subset of the
Multiparametric Intelligent Monitoring in Intensive Care (MIMIC) II waveform database (Goldberger et al
2000). Because the MIMIC database contains a large quantity of damaged and distorted signals, the UCI dataset
underwent several signal pre-processing procedures, including smoothing, filtering, and outlier reduction. As a
result, the UCI dataset contains clean and valid signal recordings. Each of the 12,000 recordings in the UCI
dataset contains fingertip PPG, ECG, and arterial BP (ABP) signals, captured at a frequency of 125 Hz.
In this paper, the PPG and ABP signals of 450 records from the UCI dataset were used. The PPG signal
recordings were further divided into non-overlapping windows of length 2 s for later BP estimation. To ensure
fairness, in this manuscript, each patient contributes 150 PPG windows for the experiments conducted in this
manuscript. The maximum and minimum ABP values within each ABP window were utilized as the reference
SBP and DBP values for the corresponding PPG window. To accurately evaluate the performance of our
method, we used both non-mixed and mixed dataset schemes. In the non-mixed dataset, we randomly selected
360 patients out of the total 450 patients as the training set, leaving the remaining 90 patients for the test set. In
3
Physiol. Meas. 44 (2023) 125004
Y Liu et al
Figure 1. PSD analysis of the PPG signal.
Figure 2. Example of a two-second windowing process.
the mixed dataset, we randomly selected 120 windows for each patient in the training set and 30 windows for the
test set.
2.2. Data pre-processing
The authors of the UCI dataset performed several pre-processing procedures, as illustrated below. Firstly, all
signals were smoothed using a simple averaging filter to eliminate signal blocks with severe discontinuities.
Secondly, signal blocks with irregular and unacceptable human BP values were eliminated. Additionally, signal
blocks with unacceptable heart rates were removed. Finally, the autocorrelation of the PPG signal, which
indicates the similarity between successive pulses, was calculated, and blocks with high alteration were removed.
By applying these steps to all samples in the database, we assert that the processed database is adequately
filtered for usage. We randomly selected a patient’s PPG signal and analyzed its power spectral density (PSD), as
shown in figure 1. The analysis reveals that the predominant frequency components are distributed within the
interval of 0–5 Hz. Low-frequency components contain valuable information regarding neural activities and the
regulation of the cardiovascular system. Moreover, it indicates effective filtering of high-frequency noise.
Therefore, we solely conducted a window screening process without employing any additional filtering
operations. Given that neural networks generally require a certain input size, this paper employs a two-second
PPG window consisting of 250 samples. As shown in figure 2, we first use the peak detection algorithm
4
Physiol. Meas. 44 (2023) 125004
Y Liu et al
Figure 3. SBP and DBP distribution in the non-mixed dataset.
Figure 4. SBP and DBP distribution in the mixed dataset.
(Elgendi et al 2013) to identify the location of the systolic peak. Subsequently, 124 samples to the left and 125
samples to the right of the systolic peak are selected to construct the PPG window. This process is repeated until
all PPG windows are formed. To prevent overlap between PPG windows, any systolic peaks that fall within the
created windows are removed. Additionally, a screening process is implemented to ensure the integrity of the
PPG windows. The peaks in the autocorrelation signal are utilized to assess the quality of each PPG window. A
predetermined threshold of 0.65 is empirically established for the maximum autocorrelation. Following this, the
PPG windows are normalized to a range of [0, 1]. Each PPG window is associated with an ABP window
positioned at the same time interval. The reference SBP and DBP values for the corresponding PPG windows
were calculated using the maximum and minimum ABP values within the window. Physiologically appropriate
systolic and diastolic BP ranges were 75 to 165 mmHg and 40 to 80 mmHg, respectively (Schrumpf et al 2021).
5
Physiol. Meas. 44 (2023) 125004
Y Liu et al
Figure 5. Five types of image encodings for PPG.
Consequently, any windows with BP values outside of these ranges were removed. Each PPG window can
generate a pair of SBP/DBP estimations.
After analyzing the distributions of SBP and DBP in the dataset (see figures 3 and 4), it was observed that the
mean and variance of each SBP and DBP were significantly different. These differences posed challenges for
solving the multivariate regression models. To address this issue, a BP normalization procedure was conducted
with the aim of reducing the disparity between SBP and DBP. Without normalization, the models would
disproportionately emphasize the variable with the larger range due to the varying ranges of the two variables.
The normalization process utilized the SBP and DBP ranges mentioned earlier. The formula is as follows, and
the maximum and minimum values can be derived from the range of variables:
Z
=
-
min
X
-
max min
,
X
=
SBP or DBP
Inverse normalization is required when the models make predictions.
X
=
Z max min
· (
-
)
+
min
1( )
( )
2
Since our modified models require the input to have dimensions of 1 × 224 × 224, we perform a resize
operation on the image encodings. Figure 5 displays five different types of image encodings for a two-second
PPG window to help explain this process.
2.3. Image encodings
This subsection outlines the image encodings used in the conversion of 1D PPG signals into 2D images.
2.3.1. PPG figure
Plotting is a critical signal analysis approach in the field of signal processing because it visually displays the
period, amplitude, phase, and other characteristics of a signal, aiding human comprehension and study. Wang
et al (2021) proposed using an image perspective to analyze PPG signals and successfully applied this approach to
estimate BP. However, the visibility graph only illustrates the relative magnitude between sample points. The
entire plotting of the PPG signal can keep all of the details of the original signal while also improving BP estimate
accuracy due to CNN’s superior feature learning capacity. The PPG signal plotting is done using a figure size of
2.5× 2.5 inches and a dpi setting of 100, as shown in figure 5. The objective is to align each pixel point with a
sample point in the PPG signal, which is more suitable for training CNNs.
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Physiol. Meas. 44 (2023) 125004
Y Liu et al
Figure 6. Examples of NVG (left) and HVG (right).
2.3.2. Visibility graph
Lacasa et al (2008) proposed the visibility graph as a geometric approach for creating complex networks from
time series. Visibility graphs can be used to model time series into complex networks, and then use graph theory
to investigate time series characteristics. The main principle underlying the visibility graph technique is the one-
to-one correlation between time series samples and nodes in the visibility graph. Two nodes are considered
related if they can be connected by a visibility line. The created visibility graph is unaffected by changes in the
vertical and horizontal axes (translations and rescaling). The visibility graph offers an effective way to store both
time series characteristics and data (Dai et al 2019).
The NVG and HVG are the two types of visibility graphs (Luque et al 2009) as shown in figure 6. A visibility
graph is created using a time series of length N, denoted as S(i), where i = 1, 2, 3,K,N. The i, jth sample in the
time series is represented as S(i), S( j), with s(i) and s( j) corresponding to the magnitudes. When any further
intermediate sample S(k), i < k < j with magnitude s(k) meets the following conditions for NVG (equation (3))
and HVG (equation (4)), an undirected edge is produced between nodes. The detailed procedure is as follows:
( )
s k
<
( )
s i
+
( ( )
s
j
-
( ))
s i
k
j
-
-
i
i
( )
s i
>
( )
s k
,
s
( )
j
>
( )
s k
( )
3
( )
4
Without any optimization, the construction cost of an NVG is generally O(N2), where N represents the
length of the time series (Li et al 2018). On the other hand, the HVG is a simplified version of the NVG, with a
computational complexity of O(N).
The adjacency matrix serves as a representation of the graph structure, with each element indicating the
presence or absence of edges between nodes (Stephen et al 2015). For each PPG window, the corresponding
visibility graph is initially constructed using the aforementioned algorithm. Subsequently, the adjacency matrix
of the visibility graph is extracted and utilized to train the models for BP estimation. In this manuscript, both the
NVG and HVG generated from each PPG window in this study, as illustrated in figure 5, are employed.
2.3.3. Gramian angular field
Wang et al (2015) first proposed the Gramian angular field (GAF), which consists of two types: the Gramian
angular summary field (GASF) and the Gramian angular difference field (GADF). The GAF is derived from
Gram’s matrix, which is constructed from the dot products of multiple vectors, revealing their temporal
relationship. Converting a 1D time series into a 2D GAF preserves the temporal dependencies between
individual samples. This property is advantageous for maintaining the temporal nature of the PPG signal. GAF
achieves this by increasing time representation as positions move from the upper left to the lower right corner.
Additionally, GAF employs polar coordinates to represent the time series, using the triangular sum or difference
between samples to identify time dependencies at various intervals. The calculations for GAF are as follows:
S
=
{
s
following equation:
,
( )
1
,
( )
2
s
,
s
( )
i
,
,
s
(
N
}
)
is a time series of length N. First, S is normalized to the range of
[
-
]
1, 1
by the
(
s
( )
i
-
˜
s
( )
i
=
max
max
( ))
S
( )
S
+
-
(
s
( )
i
min
-
min
( ))
S
( )
S
,
i
=
1, 2,
,
N
( )
5
The normalized time series, denoted as
coordinates using the following equation:
˜
S
=
{˜
s
,
( )
1
˜
,
s
( )
2
˜
,
s
( )
i
,
,
˜ }
s
)
(
N
, is subsequently converted to polar
7
Physiol. Meas. 44 (2023) 125004
Y Liu et al
Figure 7. The encoder part of the image fusion method.
Figure 8. The decoder part of the image fusion method.
f =
arccos
(˜ )
s
( )
i
,
-
1
r
=
i
n
,
⎧
⎨
⎩
˜
s
( )
i
1,
˜
s
( )
i
Î
˜
S
( )
6
, the range of f is 0,[
( ) Î -
]
i˜
Since s
1, 1
f
one, because cos( )f is monotonic on
[
]p . The input and output values in the polar coordinates are one-to-
Î
p
0,[
]
.
Finally, the transformed angle and radius features undergo Gram-like matrix operations to obtain the final
feature matrix. This matrix can be expressed as either the cosine of the angle sum or the sine of the difference,
accounting for the time dependence. The mathematical definitions of GASF and GADF are provided below.
GASF
=
[
cos
(
f
i
+
f
j
)]
cos
(
f
1
+
f
)
1
cos
(
+
f
n
)
f
1
cos
(
f
n
+
f
)
1
cos
(
f
n
+
f
n
)
⎤
⎥
⎥
⎦
⎡
⎢
⎢
⎣
8
( )
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Physiol. Meas. 44 (2023) 125004
GADF
=
[
sin
(
f
i
-
f
j
)]
sin
(
f
1
-
f
)
1
sin
(
-
f
n
)
f
1
sin
(
f
n
-
f
)
1
sin
(
f
n
-
f
n
)
⎤
⎥
⎥
⎦
⎡
⎢
⎢
⎣
Y Liu et al
( )
8
2.4. Image fusion
The image feature fusion method proposed in this paper consists of two parts: the encoder (shown in figure 7)
and the decoder (shown in figure 8). The encoder employs three different network models to extract the high-
dimensional features from PPG image encodings. On the other hand, the decoder incorporates channel
dimension summation, averaging, convolutional layers, and fully connected (FC) layers to fuse the extracted
features from the encoder and generate the SBP and DBP values.
2.4.1. Encoder
The field of computer vision has witnessed remarkable advancements in artificial intelligence techniques, giving
rise to various outstanding neural networks like ResNet, MobileNet, and ViT. In the biomedical domain, several
studies (Wang et al 2021, Salem et al 2018, Wu et al 2018) have demonstrated the successful transfer of models
pre-trained on ImageNet, resulting in a favorable performance. Transfer learning enables us to apply empirical
knowledge gained from one problem to a related but different task. Pre-training provides the advantage of
establishing optimal initial weights, facilitating faster and better learning of the target task by leveraging prior
understanding of the related task. In this manuscript, we select three pre-trained models (Resnet18 (He et al
2016), MobileNetv3 (Howard et al 2019), and Vit (Dosovitskiy et al 2020)) from ImageNet (Deng 2009) as
encoders. Additionally, the input and output sizes of each model are modified from 3 and 1000, to 1 and 2,
respectively. The models mentioned below are all modified.
Given that ImageNet significantly differs from the task of BP estimation, utilizing pre-trained weights
directly for feature extraction would inevitably result in increased errors in BP estimation. In this manuscript, we
utilize the pre-trained weights as the initialization weights for our models. Subsequently, we continue training
the models on our dataset until convergence is achieved. Finally, we utilize the input of the final FC layer of the
models as the representation of high-dimensional features for the image input. The subsequent mathematical
formulation describes this process. As previously mentioned, we utilize five types of image encodings from the
=
i{
X i,
PPG window as input, which can be denoted as X
=
=
j{
F j,
The models of the encoder can be denoted as F
=
{
V
1, 2, 3,
i
represented as V
ji
=
}
1, 2, 3
. Finally, the output of the encoder is
}
1, 2, 3, 4, 5
.
. Each Xi has a shape of (1, 250, 250).
}
1, 2, 3, 4, 5
F X j
i
j
=
=
=
(
)
,
Algorithm 1. Image feature extraction.
Input: Current image encoding from PPG, Xi; Current model of encoder, Fj;
Output: Image features on the current input and model, Vji;
1: Resize the input Xi and get X ;i¢
2: Train the model Fj on X ;i¢
3: Extract the input of last FC layer of the modelFj as Vji;
4: return Vji;
In particular, we applied a fixed model with one image encoding as input for each feature extraction process.
In this paper, we employ three models and five image encodings to extract features a total of 15 times. It is
important to highlight that each operation is conducted independently from the others. Specifically, we
initialized the model parameters by utilizing pre-trained weights on ImageNet and subsequently retrained the
model using our dataset until convergence. Finally, we evaluated the converged model on our dataset and use the
final FC layer’s input as the feature output.
2.4.2. Decoder
Each unique feature typically corresponds to a specific component of the data. As an example, the visibility
graph solely takes into account the amplitude difference between samples. Given that different feature vectors
capture distinct aspects of the pattern, the advantage of feature fusion becomes evident. The optimal
combination of these features preserves valuable information while eliminating redundancy among the vectors.
Therefore, the design of the decoder plays a crucial role. Our proposed image feature fusion method primarily
relies on the decoder to fuse the high-dimensional features extracted by the encoder and calculate the SBP and
DBP values. Multiple fusion blocks are employed to ensure thorough fusion of the high-dimensional encoder
9
Physiol. Meas. 44 (2023) 125004
Y Liu et al
Table 1. RMSE and MAE when predicting SBP and DBP values using three models trained with five image encodings as input.
Furthermore, both non-mixed and mixed PPG datasets were evaluated and analyzed.
Dataset
Input
Model
SBP
DBP
RMSE (mmHg)
MAE (mmHg)
RMSE (mmHg)
MAE (mmHg)
Non-mixed
Plot
NVG
HVG
GASF
GADF
Mixed
Plot
NVG
HVG
GASF
GADF
ResNet18
MobileNetv3
Vit
ResNet18
MobileNetv3
Vit
ResNet18
MobileNetv3
Vit
ResNet18
MobileNetv3
Vit
ResNet18
MobileNetv3
Vit
ResNet18
MobileNetv3
Vit
ResNet18
MobileNetv3
Vit
ResNet18
MobileNetv3
Vit
ResNet18
MobileNetv3
Vit
ResNet18
MobileNetv3
Vit
13.973
15.153
14.626
13.524
15.637
15.189
14.938
15.646
14.506
13.155
13.494
14.545
13.302
14.588
14.014
5.149
7.676
7.213
5.161
8.342
7.027
6.850
11.514
9.085
4.692
5.631
5.313
4.668
7.162
5.798
9.726
11.561
11.355
9.520
12.026
11.217
10.926
12.181
11.227
9.119
9.780
10.515
9.330
10.543
10.888
3.348
5.634
4.397
3.439
6.225
4.665
4.505
8.656
5.751
3.085
3.904
3.373
3.056
5.215
3.536
5.322
6.017
5.614
5.381
5.862
5.595
5.562
5.976
5.831
5.087
5.353
5.573
5.082
5.528
5.471
2.556
3.411
3.278
2.590
3.823
3.303
3.134
4.773
3.907
2.349
2.774
2.673
2.364
3.340
2.844
3.962
4.641
4.363
4.077
4.554
4.357
4.294
4.742
4.619
3.791
4.090
4.256
3.788
4.124
4.377
1.721
2.566
2.167
1.789
2.903
2.301
2.179
3.677
2.685
1.608
1.976
1.766
1.601
2.494
1.846
features. As shown in figure 8, the decoder consists of three main parts. The first part encompasses the
summation and averaging operation among the features. The second part consists of three fusion blocks
connected in series, with each block comprising two residual-connected branches. The first branch involves a
1D convolutional layer with a kernel size of 3, a stride of 2, and a padding of 1. The second branch consists of an
average pooling layer and a convolutional layer. The convolutional layer has a kernel size of 1 and a stride of 1.
The average pooling layer is configured with a pool size of 3, a stride of 2, and a padding of 1. Lastly, the third part
is composed of a two-layer FC layer with 512 and 64 neurons, respectively.
Algorithm 2. Image feature fusion.
Input: Features of a model from encoder, V;
Output: SBP and DBP values;
1: Calculate the mean and sum of the input then concatenate them as V ;¢
2: Train the Conv and FC layers on V ;¢
3: Evaluate the Conv and FC layers on V ;¢
4: return SBP and DBP;
Similarly to the encoder, we utilize the features from a single model as the decoder’s input every time. In this
work, we perform feature fusion procedures three times. Importantly, each feature fusion is independent of the
others. Due to the usage of three pre-trained models in the encoder, the size of the feature vectors produced by
each model varies. As a result, the input V has three distinct input shapes: (5,512), (5,1024), and (5,192). The
following is a ResNet18 example that explains the procedure of the decoder. First, we concatenate the features
before passing them to the decoder. Specifically, we concatenate five features with a shape of (1,512) to obtain a
consolidated V of shape (5,512). Subsequently, on the channel dimension, we conduct summation and
averaging operations on the multi-channel V, and concatenate the resulting values, resulting in a V¢ of shape
10
Physiol. Meas. 44 (2023) 125004
Y Liu et al
Figure 9. Pearson correlation and Bland–Altman analysis for BP-IEF-ResNet18 on the non-mixed dataset.
Table 2. RMSE and MAE when using image fusion methods on mixed and non-mixed datasets. The X in BP-IEF-X represents the
model used in the encoder.
Dataset
Model
SBP
DBP
RMSE (mmHg)
MAE (mmHg)
RMSE (mmHg)
MAE (mmHg)
Non-mixed dataset
Mixed dataset
BP-IEF-ResNet18
BP-IEF-MobileNetv3
BP-IEF-Vit
BP-IEF-ResNet18
BP-IEF-MobileNetv3
BP-IEF-Vit
13.031
14.062
13.287
4.623
5.535
5.083
9.187
10.155
9.613
3.058
3.680
3.456
5.049
5.408
5.058
2.350
2.707
2.598
3.810
4.182
3.883
1.608
1.856
1.843
(2,512). The V¢ is then inputted into the three serially connected fusion blocks to complete the feature fusion
operation. Finally, it is fed into the two FC layers, which calculate the SBP and DBP values for output.
3. Results and discussion
In this section, we present a brief overview of the experimental settings. Subsequently, we present and analyze
the BP estimation results obtained using our BP-IEF approach. Finally, we compare the performance of our
method with existing approaches.
3.1. Experiment settings
In section 2, we have provided the details of the dataset. The training set to test set ratio is set at 8:2 for both
mixed and non-mixed datasets. Additionally, the sizes of the training set and the test set are 54,000 and 13,500,
respectively. For each experiment, we set the number of training epochs to 300. Early stopping (Prechelt 1998) is
implemented for every training epoch to save the model weights once the error on the test set begins to increase.
To train both the encoder and decoder, a learning rate of 0.001 and a batch size of 512 are employed. The Adam
11
Physiol. Meas. 44 (2023) 125004
Y Liu et al
Figure 10. Pearson correlation and Bland–Altman analysis for BP-IEF-ResNet18 on the mixed dataset.
optimizer (Kingma and Ba 2014) is used to train all of the models. We utilized two measurements to assess the
performance of the proposed BP-IEF: the MAE and the root mean square error (RMSE). The definitions for the
two measurements are as follows, where yˆ and y are the estimated and reference BP values, respectively:
MAE
n
1
å=
n
=
i
1
∣ ˆ
y
i
-
∣
y
i
RMSE
n
1
å=
n
=
1
i
( ˆ
y
i
-
2
)
y
i
( )
9
(
)
10
3.2. BP estimation results
We used five types of image encodings (PPG figure, NVG, HVG, GASF and GADF) as inputs in this manuscript.
Additionally, we utilized three pre-trained models (resnet18, MobileNetv3, and Vit) in the encoder for image
feature extraction. Thus, there are a total of 15 combinations for the mixed and non-mixed datasets, respectively.
The performance of these combinations is summarized in table 1. On the non-mixed dataset, the best results in
terms of the MAE and RMSE were obtained when utilizing pre-trained ResNet18 with GASF as input. Under this
optimal setting, the RMSE and MAE for SBP were 13.155 mmHg and 9.119 mmHg, respectively, while for DBP
they were 5.087 mmHg and 3.791 mmHg. On the mixed dataset, the best results in terms of the MAE and RMSE
were obtained when using pre-trained ResNet18 with GASF as input. Under this configuration, the RMSE and
MAE for SBP were 4.692 mmHg and 3.085 mmHg, respectively, while for DBP they were 2.349 mmHg and
1.608 mmHg. Furthermore, when five image encodings are utilized as input for both the non-mixed and mixed
datasets, the results in table 1 reveal that ResNet18 outperforms the other two models in terms of feature
extraction. Additionally, GASF yields the best performance when utilized as input for both the non-mixed and
mixed datasets. This suggests that the GAF is superior to other image encodings for predicting BP.
To verify the effectiveness of image feature fusion, we fed the features derived from encoders into the
decoder for both the non-mixed and mixed datasets. Table 2 summarizes their overall performance. When using
BP-IEF-ResNet18 on the non-mixed dataset, the best results in terms of MAE and RMSE were obtained. Under
this setting, the RMSE and MAE for SBP were 13.031 mmHg and 9.187 mmHg, respectively, while for DBP they
were 5.049 mmHg and 3.810 mmHg. Similarly, the use of BP-IEF-ResNet18 yields the best results on the mixed
12
P
h
y
s
i
o
l
.
M
e
a
s
.
4
4
(
2
0
2
3
)
Table 3. Comparison of our method to the BHS standard.
1
3
Dataset
Method
5 mmHg
10 mmHg
15 mmHg
Grade
5 mmHg
10 mmHg
15 mmHg
Grade
SBP
DBP
Non-mixed
Non-mixed
Non-mixed
Mixed
Mixed
Mixed
BP-IEF-ResNet18
BP-IEF-MobileNetv3
BP-IEF-Vit
BP-IEF-ResNet18
BP-IEF-MobileNetv3
BP-IEF-Vit
46.18%
42.41%
39.73%
81.93%
78.66%
76.47%
66.76%
65.33%
63.66%
94.82%
94.11%
92.92%
77.67%
77.23%
75.79%
98.52%
98.09%
97.56%
—
—
—
A
A
A
70.67%
70.48%
67.28%
95.49%
94.16%
93.52%
93.73%
94.16%
92.30%
99.40%
99.27%
99.02%
99.53%
99.46%
99.20%
99.96%
99.95%
99.89%
A
A
A
A
A
A
1
2
5
0
0
4
Y
L
i
u
e
t
a
l
P
h
y
s
i
o
l
.
M
e
a
s
.
4
4
(
2
0
2
3
)
Table 4. Performance comparison between the proposed method and prior works.
Citation
Number of subjects
Length of PPG segment
Range of SBP/DBP (mmHg)
1
4
BP-IEF-ResNet18 (non-mixed dataset)
BP-IEF-ResNet18 (mixed dataset)
Wang et al (2021)
Wang et al (2021)
Baek et al (2019)
Leitner et al (2021)
Zhong et al (2023)
Wang et al (2023)
Qin et al (2023)
Meng et al (2022)
Yan et al (2019)
450
450
169
348
942
100
N/A
N/A
N/A
50
604
2 s
2 s
3 peaks
3 peaks
4.096 s
5 s
8 s
1 beat
3 s
6 s
10 s
[75,165] / [40,80]
[75,165] / [40,80]
N/A
N/A
[90,180] / [60,120]
[16,180] / [30,110]
N/A
[86,194] / [30,100]
[70,180] / [50,100]
[69,190] / [36,102]
[80,180] / [50,130]
SBP
DBP
RMSE (mmHg)
MAE (mmHg)
RMSE (mmHg)
MAE (mmHg)
13.031
4.623
7.458
8.46
N/A
N/A
N/A
5.27
N/A
3.69
N/A
9.187
3.058
4.673
6.17
10.86
3.52
3.49
4.46
5.98
3.21
3.09
5.049
2.350
4.079
5.36
N/A
N/A
N/A
4.70
N/A
2.23
N/A
3.810
1.608
2.476
3.66
5.95
2.2
2.11
4.20
3.24
1.80
2.11
1
2
5
0
0
4
Y
L
i
u
e
t
a
l
Physiol. Meas. 44 (2023) 125004
Y Liu et al
dataset in terms of MAE and RMSE. Under this setting, the RMSE and MAE for SBP were 4.623 mmHg and
3.058 mmHg, respectively, while for DBP they were 2.350 mmHg and 1.608 mmHg. Additionally, BP-IEF-
ResNet18 outperformed the other models on both the non-mixed and mixed datasets, providing further
evidence that ResNet18 is better suited for extracting BP-related features. Furthermore, the results in table 2
were often better than those in table 1. This demonstrates the effectiveness of feature fusion in the decoder
compared to relying solely on a specific image encoding.
The Pearson-R correlation coefficient is a metric utilized to assess the linear correlation between two sets of
data (Benesty et al 2009). To evaluate the performance of the proposed BP-IEF, Pearson correlation analyses
were conducted between the estimated BP and the reference BP for both the non-mixed and mixed datasets. The
Pearson-R coefficients for SBP and DBP in the optimal configuration of the non-mixed dataset were 0.587 and
0.599, respectively. (See figures 9(a) and (b)). Similarly, figures 9(c) and (d) show the Bland–Altman analysis for
SBP and DBP, respectively. Under the optimal configuration of the mixed dataset, the Pearson-R coefficients for
SBP and DBP were 0.959 and 0.932, respectively (see figures 10(a) and (b)). Similarly, figures 10(c) and (d) show
the Bland–Altman analysis for SBP and DBP, respectively.
The British Hypertension Society (BHS) (O’Brien et al 2001) and the Association for the Advancement of
Medical Instrumentation (AAMI) (Mukkamala et al 2021) standard were used to evaluate the proposed BP-IEF
for BP measurement. The BHS standards determine performance levels by calculating the percentage difference
between the estimated BP sample and the corresponding reference BP, using thresholds of 5, 10, and 15 mmHg.
The comparison of BP-IEF with the BHS standard is summarized in table 3. On the non-mixed dataset, three
types of BP-IEF all achieved grade A in DBP prediction. On the mixed dataset, all three types of BP-IEF received
grade A for both SBP and DBP prediction. The AAMI standard for BP measurement requires that the mean error
(ME) and the standard deviation of error (SDE) between the estimated and reference BPs must be
within ± 5 mmHg and 8 mmHg, respectively. On the non-mixed dataset, the BP-IEF-ResNet18 approach
achieved an ME and SDE of −1.05 ± 12.989 mmHg and −0.665 ± 5.005 for SBP and DBP, respectively. On the
mixed dataset, the BP-IEF-ResNet18 approach achieved an ME and SDE of 0.068 ± 4.543 mmHg and
0.036 ± 2.35 for SBP and DBP, respectively. On the non-mixed dataset, the performance of DBP meets the
AAMI standard. On the mixed dataset, both SBP and DBP match the AAMI standard, with an ME close to
0 mmHg.
Based on the above results, we can see that our proposed BP-IEF is effective in the BP estimation task. This
further proves that the image perspective helps to extract features associated with BP. Moreover, the results
obtained from mixed datasets are usually better than those from non-mixed datasets. The variations in accuracy
can be attributed to the differences in cardiovascular relationships between PPG and BP among individuals.
3.3. Performance comparison
To further validate the effectiveness of our proposed BP-IEF, we conducted a comprehensive comparison with
numerous existing PPG-based BP estimation methods. Table 4 compares our proposed method’s optimal
settings with recent studies on PPG-based BP estimation published within the last five years. The comparison is
based on the length of the PPG segment, the number of subjects, the range of SBP/DBP, and the estimation
performance. However, due to differences in the datasets across studies, a fair quantitative comparison is not
viable. In what follows, we discuss the possible loopholes of AI methods in PPG-based cuffless BP measurement.
The data in table 4 indicate that longer PPG segments tend to result in an improved estimation performance.
This may be attributed to the presence of more time-dependent relationships within longer PPG segments,
thereby facilitating network modeling. However, our method converts PPG to 2D images for BP estimation,
utilizing shorter PPG segments to achieve a comparable performance. Moreover, wider intervals of BP range
result in a reduced performance. This may be due to the fact that the network considers higher BP values as
outliers, impairing network convergence and potentially affecting the performance. Furthermore, increasing the
number of patients did not result in an improved performance, likely attributed to the substantial variations in
BP distribution among patients, which do not provide the network with additional valuable information to
enhance its generalization capabilities.
4. Conclusion
In this manuscript, an end-to-end BP estimation method named BP-IEF is proposed. The proposed BP-IEF
consists of two main components: the encoder and the decoder. To accomplish this, five image encodings,
namely the PPG figure, NVG, HVG, GASF, and GADF, were employed as inputs. Firstly, we employed five
image encodings to transform PPG signals from the 1D time domain into 2D images. Subsequently, these
encodings were utilized as inputs for encoders composed of three distinct neural networks, enabling the
extraction of high-dimensional features. Following this, the extracted features from each encoding were
15
Physiol. Meas. 44 (2023) 125004
Y Liu et al
inputted into the decoder to fuse the high-dimensional features effectively. Finally, the decoder outputs a pair of
BP values, SBP and DBP, thus enabling the end-to-end estimation of BP. The numerical results show that our
method is very promising. Considering realistic scenarios where BP data for target patients is usually not
available, in future research we will focus on improving the generalization capability of our method to achieve a
better BP estimation performance on non-mixed datasets.
Acknowledgments
This work was supported by the BUPT Excellent Ph.D. Students Foundation grant no. CX2022116.
Data availability statement
The data cannot be made publicly available upon publication because they are not available in a format that is
sufficiently accessible or reusable by other researchers. The data that support the findings of this study are
available upon reasonable request from the authors.
ORCID iDs
Yinsong Liu
https://orcid.org/0000-0003-1073-3147
References
Baek S, Jang J and Yoon S 2019 End-to-end BP prediction via fully convolutional networks IEEE Access 7 185458–68
Benesty J, Chen J, Huang Y and Cohen I 2009 Pearson correlation coefficient Noise reduction in speech processing (Springer) pp 1–4
Chen S, Gallagher M J, Hogg F, Papadopoulos M C and Saadoun S 2018 Visibility graph analysis of intraspinal pressure signal predicts
functional outcome in spinal cord injured patients J. Neurotrauma 35 2947–56
Chua C P and Heneghan C 2006 Continuous BP monitoring using ecg and finger photoplethysmogram 2006 International Conference of the
IEEE Engineering in Medicine and Biology Society, IEEE pp 5117–20
Dai P-F, Xiong X and Zhou W-X 2019 Visibility graph analysis of economy policy uncertainty indices Physica A 531 121748
Deng J 2009 A large-scale hierarchical image database Proc. of IEEE Computer Vision and Pattern Recognition 2009
Dosovitskiy A et al 2020 An image is worth 16 × 16 words: Transformers for image recognition at scale arXiv:2010.11929
Duan K, Qian Z, Atef M and Wang G 2016 A feature exploration methodology for learning based cuffless BP measurement using
photoplethysmography 2016 38 Annual International Conference of The IEEE Engineering In Medicine and Biology Society (EMBC)
IEEE pp 6385–8
Elgendi M, Fletcher R, Liang Y, Howard N, Lovell N H, Abbott D, Lim K and Ward R 2019 The use of photoplethysmography for assessing
hypertension NPJ Digit. Med. 2 1–11
Elgendi M, Norton I, Brearley M, Abbott D and Schuurmans D 2013 Systolic peak detection in acceleration photoplethysmograms measured
from emergency responders in tropical conditions PLoS One 8 e76585
Eom H, Lee D, Han S, Hariyani Y S, Lim Y, Sohn I, Park K and Park C 2020 End-to-end deep learning architecture for continuous BP
estimation using attention mechanism Sensors 20 2338
Goldberger A L, Amaral L A, Glass L, Hausdorff J M, Ivanov P C, Mark R G, Mietus J E, Moody G B, Peng C-K and Stanley H E 2000
Physiobank, physiotoolkit, and physionet: components of a new research resource for complex physiologic signals Circulation 101
e215–20
Griffin M J, Letson H L and Dobson G P 2014 Adenosine, lidocaine and mg2+ (alm) induces a reversible hypotensive state, reduces lung
edema and prevents coagulopathy in the rat model of polymicrobial sepsis J. Trauma Acute Care Surg. 77 471–8
He K, Zhang X, Ren S and Sun J 2016 Deep residual learning for image recognition Proceedings of The IEEE Conference On Computer Vision
and Pattern Recognition 770–8
Hosanee M et al 2020 Cuffless single-site photoplethysmography for BP monitoring J. Clin. Med. 9 723
Howard A et al 2019 Searching for mobilenetv3 Proceedings Of The IEEE/CVF International Conference on Computer Vision pp 1314–24
Hu Q, Wang D and Yang C 2022 Ppg-based BP estimation can benefit from scalable multi-scale fusion neural networks and multi-task
learning Biomed. Signal Process. Control 78 103891
Ji H, Xu T, Wu W and Wang J 2016 Visibility graph analysis on eeg signal 2016 IX International Congress on Image and Signal Processing,
BioMedical Engineering and Informatics (CISP-BMEI) IEEE 1557–61
Kachuee M, Kiani M M, Mohammadzade H and Shabany M 2015 Cuff-less high-accuracy calibration-free BP estimation using pulse transit
time 2015 IEEE International Symposium on Circuits and Systems (ISCAS) IEEE pp 1006–9
Kaniusas E et al 2006 Method for continuous nondisturbing monitoring of BP by magnetoelastic skin curvature sensor and ecg IEEE Sensors
J. 6 819–28
Kingma D P and Ba J 2014 Adam: A method for stochastic optimization arXiv: 1412.6980
Kurylyak Y, Lamonaca F and Grimaldi D 2013 A neural network-based method for continuous BP estimation from a PPG signal 2013 IEEE
International Instrumentation And Measurement Technology Conference (I2MTC) IEEE pp 280–3
Lacasa L, Luque B, Ballesteros F, Luque J and Nuno J C 2008 From time series to complex networks: the visibility graph Proc. Natl. Acad. Sci.
105 4972–5
Leitner J, Chiang P-H and Dey S 2021 Personalized BP estimation using photoplethysmography: a transfer learning approach IEEE J.
Biomed. Health Inform. 26 218–28
Li D, Lin J, Bissyande T F D A, Klein J and Traon Y Le 2018 Extracting statistical graph features for accurate and efficient time series
classification XXI International Conference on Extending Database Technology
16
Physiol. Meas. 44 (2023) 125004
Y Liu et al
Luque B, Lacasa L, Ballesteros F and Luque J 2009 Horizontal visibility graphs: Exact results for random time series Phys. Rev. E 80 046103
Ma Y et al 2018 Relation between BP and pulse wave velocity for human arteries Proceedings of the National Academy of Sciences 115
pp 11 144–11 149
Meng Z, Yang X, Liu X, Wang D and Han X 2022 Non-invasive BP estimation combining deep neural networks with pre-training and partial
fine-tuning Physiol. Meas. 43 11NT01
Mou H and Yu J 2021 Cnn-lstm prediction method for BP based on pulse wave Electronics 10 1664
Mukkamala R, Yavarimanesh M, Natarajan K, Hahn J-O, Kyriakoulis K G, Avolio A P and Stergiou G S 2021 Evaluation of the accuracy of
cuffless BP measurement devices: challenges and proposals Hypertension 78 1161–7
O’brien E, Waeber B, Parati G, Staessen J and Myers M G 2001 BP measuring devices: recommendations of the european society of
hypertension Bmj 322 531–6
Paviglianiti A, Randazzo V, Villata S, Cirrincione G and Pasero E 2021 A comparison of deep learning techniques for arterial BP prediction
Cognitive Computation 14 1689–1710
Prechelt L 1998 Early stopping-but when? Neural Networks: Tricks of the trade (Springer) pp 55–69
Qin C, Li Y, Liu C and Ma X 2023 Cuff-less BP prediction based on photoplethysmography and modified resnet Bioengineering 10 400
Rundo F, Ortis A, Battiato S and Conoci S 2018 Advanced bio-inspired system for noninvasive cuff-less BP estimation from physiological
signal analysis Computation 6 46
Salem M, Taheri S and Yuan J-S 2018 Ecg arrhythmia classification using transfer learning from 2-dimensional deep cnn features 2018 IEEE
Biomedical Circuits and Systems Conference (BioCAS) IEEE pp 1–4
Schrumpf F, Frenzel P, Aust C, Osterhoff G and Fuchs M 2021 Assessment of non-invasive BP prediction from ppg and rppg signals using
deep learning Sensors 21 6022
Shao Z-G 2010 Network analysis of human heartbeat dynamics Appl. Phys. Lett. 96 073703
Stephen M, Gu C and Yang H 2015 Visibility graph based time series analysis PLoS One 10 e0143015
Wang L-H, Sun K-K, Xie C-X, Fan M-H, Abu P A R and Huang P-C 2023 Cuffless BP estimation using dual physiological signal and its
morphological features IEEE Sensors J. 23 11956–67
Wang W, Mohseni P, Kilgore K and Najafizadeh L 2021 Cuff-less BP estimation via small convolutional neural networks 2021 XLIII Annual
International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC) IEEE pp 1031–4
Wang W, Mohseni P, Kilgore K L and Najafizadeh L 2021 Cuff-less BP estimation from photoplethysmography via visibility graph and
transfer learning IEEE J. Biomed. Health Inform. 26 2075–85
Wang Z et al 2015 Encoding time series as images for visual inspection and classification using tiled convolutional neural networks
Workshops at the Twenty-IX AAAI Conference on Artificial Intelligence (Menlo Park, CA, USA: AAAI) vol 1
Wu D, Xu L, Zhang R, Zhang H, Ren L and Zhang Y-T 2018 Continuous cuff-less BP estimation based on combined information using deep
learning approach J. Med. Imaging & Health Infor. 8 1290–9
Wu Y, Yang F, Liu Y, Zha X and Yuan S 2018 A comparison of 1-d and 2-d deep convolutional neural networks in ecg classification
arXiv:1810.07088
Yan C, Li Z, Zhao W, Hu J, Jia D, Wang H and You T 2019 Novel deep convolutional neural network for cuff-less BP measurement using ecg
and ppg signals 2019 XLI Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) IEEE
pp 1917–20
Yang S, Zaki W S W, Morgan S P, Cho S-Y, Correia R and Zhang Y 2020 BP estimation with complexity features from electrocardiogram and
photoplethysmogram signals Opt. Quantum Electron. 52 1–16
Zhang G, Gao M, Xu D, Olivier N B and Mukkamala R 2011 Pulse arrival time is not an adequate surrogate for pulse transit time as a marker
of BP J. Appl. Physiol. 111 1681–6
Zhong Y, Chen Y, Zhang D, Xu Y and Karimi H R 2023 A mixed attention-gated u-net for continuous cuffless BP estimation Signal Image
Video Process 1–9
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Data availability Electronic supplementary material The online
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material, which is available to authorized users.
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Theoretical and Applied Genetics (2023) 136:138
https://doi.org/10.1007/s00122-023-04372-4
ORIGINAL ARTICLE
The putative vacuolar processing enzyme gene TaVPE3cB
is a candidate gene for wheat stem pith‑thickness
Qier Liu1,4 · Yun Zhao1,2 · Shanjida Rahman1 · Maoyun She1 · Jingjuan Zhang1 · Rongchang Yang1 · Shahidul Islam1 ·
Graham O’Hara1 · Rajeev K. Varshney1 · Hang Liu1 · Hongxiang Ma4 · Wujun Ma1,3
Received: 25 October 2022 / Accepted: 27 April 2023 / Published online: 26 May 2023
© The Author(s) 2023
Abstract
Key message The vacuolar processing enzyme gene TaVPE3cB is identified as a candidate gene for a QTL of wheat
pith-thickness on chromosome 3B by BSR-seq and differential expression analyses.
Abstract The high pith-thickness (PT) of the wheat stem could greatly enhance stem mechanical strength, especially the
basal internodes which support the heavier upper part, such as upper stems, leaves and spikes. A QTL for PT in wheat was
previously discovered on 3BL in a double haploid population of ‘Westonia’ × ‘Kauz’. Here, a bulked segregant RNA-seq
analysis was applied to identify candidate genes and develop associated SNP markers for PT. In this study, we aimed at
screening differentially expressed genes (DEGs) and SNPs in the 3BL QTL interval. Sixteen DEGs were obtained based on
BSR-seq and differential expression analyses. Twenty-four high-probability SNPs in eight genes were identified by compar-
ing the allelic polymorphism in mRNA sequences between the high PT and low PT samples. Among them, six genes were
confirmed to be associated with PT by qRT-PCR and sequencing. A putative vacuolar processing enzyme gene TaVPE3cB
was screened out as a potential PT candidate gene in Australian wheat ‘Westonia’. A robust SNP marker associated with
TaVPE3cB was developed, which can assist in the introgression of TaVPE3cB.b in wheat breeding programs. In addition,
we also discussed the function of other DEGs which may be related to pith development and programmed cell death (PCD).
A five-level hierarchical regulation mechanism of stem pith PCD in wheat was proposed.
Introduction
Wheat is the most widely grown crop in the world, account-
ing for 220 million hectares with annual global production
of ∼772 million tonnes (FAOSTAT 2022). By 2050, global
demand for wheat is predicted to grow sharply as the world’s
Qier Liu and Yun Zhao authors contributed equally to this work.
* Wujun Ma
w.ma@murdoch.edu.au
1 Centre for Crop and Food Innovation, Food Futures Institute
and College of Science, Health, Engineering and Education,
Murdoch University, Perth, WA 6150, Australia
2
Institute of Cereal and Oil Crops, Hebei Academy
of Agriculture and Forestry Sciences, Shijiazhuang 050035,
People’s Republic of China
3 College of Agronomy, Qingdao Agriculture University,
Qingdao 266109, People’s Republic of China
4 Provincial Key Laboratory of Agrobiology, and Institute
of Food Crops, Jiangsu Academy of Agricultural Sciences,
Nanjing 210014, People’s Republic of China
population is expected to exceed 9 billion (Keating et al.
2014). The Green Revolution led to tremendous increases in
wheat yield by providing excellent growing conditions and
improving crop varieties. With advances in molecular genet-
ics technology, some yield-related genes that control plant
height and tiller number have been cloned, such as wheat
reduced-height genes (Rht) (Appleford et al. 2007) and semi-
dwarf gene (Sd1) (Monna et al. 2002). The semi-dwarf cul-
tivars are inherently more stable mechanically, reducing the
leverage on the stem base and anchorage system in wheat,
thereby increasing the lodging resistance under nitrogen
application and achieving maximum yield potential (Hed-
den 2003). However, severe dwarfism causes inadequate bio-
mass accumulation, eventually, lower yield potential (Hirano
et al. 2017). Therefore, breeding wheat varieties with strong
stem phenotypes is a breeding strategy for enhancing lodg-
ing resistance and yield (Reynolds et al. 2010).
The wheat stem plays an important role in providing
mechanical support for leaves and spikes (Kirby 2002),
transporting water and mineral nutrients, storing water-
soluble carbohydrates (WSC) and starch (Scofield et al.
Vol.:(0123456789)1 3138 Page 2 of 21
Theoretical and Applied Genetics (2023) 136:138
2009), and remobilizing nutrients during grain filling
(Blum 1998). Stem lodging is mainly occurring at the
2nd internode (Peng et al. 2014), and the density of the
basal 2nd internode has been proven to correlate with stem
mechanical strength (Li et al. 2022). The central part of
the young stem is occupied by pith tissues, which are com-
posed of undifferentiated parenchyma cells. Parenchyma-
tous pith cells store a large amount of water and WSCs,
such as sucrose, glucose, fructose and fructan (Ruuska
et al. 2006). In mature wheat stems, the majority of pith
cells die and collapse, which leads to the formation of
a central cavity and hollow stem. The death of the pith
cells has been regarded as programmed cell death (PCD),
but the molecular mechanism of pith death remains unex-
plained (Fujimoto et al. 2018).
Stem pith thickness is an important agronomic trait of
durum and bread wheat that provides resistance to the wheat
pest (Hayat et al. 1995), lodging (Kong et al. 2013) and
drought (Saint Pierre et al. 2010). Adopting forward genetic
strategies, many stem- strength-related QTLs have been
identified on 1A and 2D for culm wall thickness (Hai et al.
2005; Liu et al. 2017; Pan et al. 2017); 3B and 2D for culm
diameter (Hai et al. 2005; Song et al. 2021); 1A, 3A and 4B
for stem internode length (Berry et al. 2008; Piñera‐Chavez
et al., 2021); 1B, 2D, 3A, 3B, 4B and 4D for stem internode
wall width (Berry et al. 2008; Piñera‐Chavez et al., 2021;
Verma et al. 2005). The major genetic factor related to stem
solidness has been mapped on chromosome 3B in durum
(SSt1) and bread wheat (Qss.msub-3BL), conferring solid
stems with thick sclerenchyma tissues and a strong culm
phenotype (Cook et al. 2004; Nilsen et al. 2017). Recently,
a putative Dof transcription factor, TdDof, was cloned as the
SSt1 causal gene (Nilsen et al. 2020).
BSR-seq approach that combines bulked segreant analysis
(BSA) with RNA sequencing provides an efficient method
to rapidly identify candidate genes of QTLs. It uses RNA
sequencing data to call SNPs and filter out SNPs linked to
the candidate genomic region through BSA, thus the hot
spot region of genetic variation associated with the pheno-
type could be identified (Liu et al. 2012). In addition, RNA-
seq reveals DEGs between two bulked sample pools in the
mapping interval and provides the necessary information for
gene screening. Recently, several genes have been identi-
fied through BSR-seq in different plant species, including
the genes related to powdery mildew resistance (Xie et al.
2020; Zhan et al. 2021), pest resistance (Hao et al. 2019),
male sterile (Tan et al. 2019) and waterlogging-tolerance
(Du et al. 2017).
The objectives of this study were to: (i) identify genome-
wide mRNA variants related to PT through BSR-seq; (ii)
determine the physical location of Qpt-3B through BSR-seq;
(iv) identify the candidate gene for Qpt-3B; (v) develop SNP
marker linked to Qpt-3B for marker-assisted selection.
Materials and methods
The overall experimental procesure is outlined in Fig. 1.
Plant materials and growth conditions
A doubled haploid (DH) population ‘Westonia’ (high PT) x
‘Kauz’ (low PT) with 225 lines were used for the PT can-
didate gene identification (Butler et al. 2005; Rajaram et al.
2002; Zhang et al. 2013). A set of Australian historical wheat
cultivar collections (171 varieties) spanning approximately
125 years (1890–2015) was selected for marker validation
(Table S1). The genetic resource information can be found in
the CIMMYT-Wheat Germplasm Bank (https:// wgb. cimmyt.
org/ gring lobal/ search).
The DH population and historical cultivars were grown
repeatedly in a glasshouse at Murdoch University, Western
Australia, Australia, from 2018 to 2020. Pots were placed
following a complete randomized block design (RCBD) and
three seeds from each cultivar were planted in a 4 L free-
draining pot filled with soil mix. Plants were grown under
controlled temperature with 25/15 °C (day/night) and sun-
light conditions and equipped with an automatic watering
system.
Evaluation of stem pith thickness
Pith-thickness data of each line was obtained at the fully
matured stage (Pluta et al. 2021) by evaluating the average
rating of the stem: the main stem was cross-sectioned in the
center of the second basal internode, and the stem diameter
and pith thickness were measured by the Vernier caliper with
three biological replicates. The pith filling of internode was
rated using a five-grade system according to the methodol-
ogy developed by PAUW and Read (1982). Pith-thickness
index was calculated with the formula: PI = (2 × pith thick-
ness)/stem diameter (Wallace et al. 1973).
RNA isolation, library construction and sequencing
The selected DH lines (listed in Table S2) and two parental
lines were used for RNA-seq analysis. For each line, approx-
imately 0.5 cm of the middle of the second basal internode
of main stem was sampled at the early internode elonga-
tion stage (Z32) (Zadoks et al. 1974). RNA was extracted
using the TRIzol reagent (Invitrogen Canada, catalogue No.
15596026) and subsequently treated with Qiagen DNase set
(Catalog No. 79254) to remove genomic DNA. For bulked
sample pooling, equal amounts of RNA from each of the 20
selected DH lines were mixed to construct solid bulk (Sbulk,
the high PT lines) or hollow bulk (Hbulk, the low PT lines).
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Theoretical and Applied Genetics (2023) 136:138
Page 3 of 21 138
Fig. 1 Schematic flowchart of
the experimental procedure. W:
‘Westonia’; K: ‘Kauz’; S: Solid
bulks; H: Hollow bulks
Two parents and two bulked samples with three replicates
each were prepared and submitted to Singapore Novogene
company for sequencing.
SNP calling and ΔSNP‑index analysis
The data were ordered and assembled using SAMtools
v-1.14 (http:// www. htslib. org/ downl oad/). The sequenc-
ing data of three biological replicates per sample were
analyzed together. The initial SNP calling was performed
using Genome Analysis Toolkit (GATK, v4.2.3.0) package
(McKenna et al. 2010), and SnpEff was used for SNP anno-
tation (Cingolani et al. 2012). The high-quality SNPs were
filtered according to Liu et al. (2012) with the following
criteria: sequencing depth for each SNP ≥ 5; Quality of vari-
ation detection ≥ 50; the minimum quality score of 20, and
only homozygous SNPs between parental lines were used
for SNP-index analysis. After filtration, for each genomic
position, the SNP-index of two bulks were estimated using a
MutMap method, with SNPs in ‘Kauz’ as a reference. SNP-
index calculates the proportion of short reads that cover a
particular site sharing an SNP (Abe et al. 2012). Then, the
ΔSNP index was calculated by subtracting the SNP index of
the Hbulk from the Sbulk (Takagi et al. 2013). The average
value of ΔSNP index in the corresponding window was plot-
ted by calculating in a 5 Mb window size and 50 kb window
step size. PT-associated loci were identified when the fitted
values of ΔSNP index were higher than the 99% confidence
threshold. A Circos graph (Krzywinski et al. 2009) includ-
ing chromosomes, genes and SNP density was generated by
CIRCOS software (http:// circos. ca/).
Differentially expressed gene analysis
The high-quality reads were mapped against the latest
Chinese spring genome (IWGSC RefSeq v2.1) using the
HISAT2 software (Kim et al. 2019), and the expression
level was calculated with fragments per kilobase of tran-
script per million fragments mapped (FPKM) (Trapnell et al.
2010). The fold change was calculated based on the normal-
ized expression values between the high PT sample and the
low PT sample. Genes with more than two-fold differential
1 3138 Page 4 of 21
Theoretical and Applied Genetics (2023) 136:138
expression (|fold change| ≧ 2) and false discovery rate
(FDR) < 0.001 for the groups of ‘Westonia vs Kauz’ and
‘Sbulk vs Hbulk’ were classified as significant DEGs. Only
the DEGs coexisting between parent comparison and bulks
comparison group were considered as pith-thickness-related
genes. Then, those coexisting DEGs were classified into two
types, Hcluster and Scluster. Hcluster contains genes which
were highly expressed in low PT samples, while Scluster
consists of the genes which were highly expressed in high
PT samples.
the normalization of gene expression studies (Wang et al.
2013). The processing for the 3-step cycling qRT-PCR
was as follows: 95 °C for 2 min, followed by 40 cycles
of 95 °C for 5 s, 60 °C for 15 s, 72 °C for 15 s. Reac-
tion specificities were assessed by melting curve analysis.
Gene relative expression level was calculated using 2−ΔΔCt
method with three technical repeats (Livak and Schmittgen
2001). A one-way ANOVA followed by a Tukey’s test was
performed to identify significant differences.
Go and KEGG pathway analyses
Cloning, sequencing and phylogenetic analysis
Gene ontology (GO) and KEGG pathway enrichment analy-
sis of the DEGs was performed according to the method
described by Hao et al. (2019). The GO enrichment analysis
was performed using an R package based on hypergeometric
distribution test to find the significantly enriched terms in
DEGs. For KEGG pathway enrichment analysis, the meta-
bolic pathway annotation was performed using KOBAS soft-
ware against the KEGG database (http:// www. genome. jp/
kegg/). GO terms and KEGG pathway with FDR corrected
p value ≤ 0.05 was regarded as significantly enriched.
NBT staining
The production of ROS in stems was detected by nitro-
tetrazolium blue chloride (NBT) staining as described by
Wohlgemuth et al. (2002) with minor modifications. Stems
at three different stages (Z30, Z32 and Z65) were harvested,
and immersed in 50 mm PBS buffer (pH 7.8) containing
0.1 mg ml−1 NBT and 10 mm sodium azide. Samples were
vacuum-infiltrated for 2 min, and subsequently incubated at
25 °C for 2 h in the darkness and then the stained samples
were immersed in 80% (v/v) ethanol for 1 h to remove the
chlorophyll. ROS production was visualised as a dark blue
formazan deposit in stem tissues.
qRT‑PCR validation
qRT-PCR was performed to evaluate the reliability of the
sequencing results and reveal expression profiles of DEGs.
For the evaluation of sequencing results, the same RNA
samples were used for qRT-PCR as for RNA-seq. In addi-
tion, the stems on three different Zadoks stages (Z30, Z32,
Z65) and the leaves at the stage of Z32 were collected
from parents. For TaVPEcB gene expression analysis of
Chinese spring and the selected historical lines, the stems
were collected on the stage of Z32 only. The first strand
cDNA was synthesised using the SensiFAST cDNA Syn-
thesis Kit (Bioline, UK) and the qRT-PCR amplification
was performed using SensiFAST SYBR No-ROX Kit (Bio-
line, UK). Taactin was used as an internal control gene for
The synthesized cDNA, gDNA and genome-specific
primers (Table S3) were used for the amplification of
full-length CDS and promoter region in both parents. The
PCR reaction was conducted by using Q5 High-fidelity
DNA Polymerase (NEB) according to product instructions.
The target fragments were separated and purified using a
Gel Extraction Kit (Promega). Then, the purified prod-
ucts were amplified using BigDye Terminator V3.1 Cycle
Sequencing Kits (Applied Biosystems) and sequenced by
Applied Biosystems 3730 DNA Analyzers.
Protein sequences of VPE family of Arabidopsis, brach-
ypodium, rice and wheat were gathered from the published
database, and corresponding accession numbers of used
sequences are provided in Table S4. The alignment of pro-
tein sequences was performed by the ClustalX program.
The phylogenetic tree was constructed by the neighbour-
joining method with 1000 bootstraps in the MEGA11 soft-
ware (Tamura et al. 2007). The sequence alignment and
the GC content were analyzed using DNAMAN software,
and their cis-acting elements were predicted by PLACE
and PlantCARE.
Maker development and linkage map construction
Co-dominant markers were designed based on the SNPs
within the candidate DEGs and genotyped the 225 DH
lines for being mapped onto an existing linkage map.
PCR reactions were carried out in 10 μL reaction mixture
consisting of GoTaq® Green Master Mix 2X (Promega),
primer sets (0.5 µM), and genomic DNA (50 ng). The pro-
cedure of PCR was as follows: 95 °C for 2 min; 30 cycles
of 95 °C for 10 s, and 56 °C for 15 s, 72 °C for 1 min;
72 °C for 7 min. Based on our previous mapping results
of major pith thickness QTL on 3BL (Zhao 2019), the
developed makers as well as the previous makers were
used for a new linkage map construction with the soft-
ware IciMapping software V4.1 (Meng et al. 2015). The
graphical presentation of linkage maps and QTLs were
conducted by MapChart V2.3.2.
1 3
Theoretical and Applied Genetics (2023) 136:138
Page 5 of 21 138
Results
Pith‑thickness evaluation of wheat lines
The wheat stem pith-thickness index scores varied from
0.19 to 1 (p < 0.05) in the DH population. Its distribution
pattern was similar to a bimodal distribution (Fig. S1), con-
sistent with single gene inheritance for stem pith thickness.
Wheat parent ‘Westonia’ was classified as high PT stem
(PI = 0.55~0.61) and ‘Kauz’ was classified as low PT stem
(PI = 0.22~0.27) across three test years. PT index for solid
bulks (Sbulks) ranged from 1.00 to 0.75, indicating that
these bulked samples belong to completely solid or high
PT grade, while PT index for hollow bulks (Hbulks) ranged
from 0.19 to 0.25, belonging to hollow or low PT grade
(Fig. 2 and Table S2).
Differentially expressed gene identification and GO/
KEGG pathway analysis
The transcript profiles of solid and hollow stem pools were
built by comparing their gene expression levels based on
FPKM (fragments per kilobase of transcript per million
fragments mapped). A total of 20,493 DEGs were revealed
among ‘Westonia’ versus ‘Kauz’. Among them, 8209 genes
were highly expressed in Westonia with 878 genes up-regu-
lated by over 50 folds. The number of highly expressed genes
in Kauz was 12,284, among which 709 genes were down-
regulated by over 50 folds. However, only 5453 DEGs were
identified between Sbulk versus Hbulk. Among them, 1613
genes were up-regulated and 3840 were down-regulated,
with 93 and 256 genes up-regulated and down-regulated by
20–50 folds, respectively. In addition, in this comparison
group, no DEGs with more than 50-fold difference has been
found. The number of DEGs in the two comparison groups
differed significantly, but 2424 common DEGs were identi-
fied (Fig. 3A). Among the coexisting DEGs, 765 genes were
classified as hollow cluster (Hcluster) genes which were
highly expressed in all low PT samples (Fig. 3B) and 213
genes were classified as solid cluster (Scluster) genes which
were highly expressed in all high PT samples.
Results from GO analysis on the DEGs showed that in the
biological process, Scluster DEGs were mainly enriched in
cellular carbohydrate metabolic process, protein transport
and ATP biosynthetic process (Fig. 3C). However, Hclus-
ter DEGs were mainly involved in the protein modification
process, response to oxidative stress, metal ion transport
and cell wall organization or biogenesis. In addition, the
top enriched molecule functions in Scluster were associated
with cytoskeletal protein binding, ATP binding, hydrolase
activity and transferase activity (such as glucosyltransferase
and O-methyltransferase activity; while the most enriched
GO terms in Hcluster were ATP binding, oxidoreductase
activity, peroxidase activity and endopeptidase activity. The
most enriched cellular components in Scluster belonged to
the membrane protein complex, endomembrane system and
vesicle membrane; while in Hcluster, the extracellular region
and cell wall were significantly enriched.
Fig. 2 Morphological characteristics of different wheat genotypes. A
and C: High pith-thickness stems ‘Westonia’ and DH line 209. B and
D: hollow stem internodes of Kauz and DH line 156. Numbers 1, 2,
3 and 4 are the second, third, fourth and fifth stem internodes (from
the bottom to top), respectively. E and G: Wiesner staining of the 2nd
basal internode stem sections of ‘Kauz’; F and H: Wiesner staining
of the 2nd basal internode stem sections of ‘Westonia’. P: pith; SV:
small vascular bundle; LV: large vascular bundle
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Theoretical and Applied Genetics (2023) 136:138
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Theoretical and Applied Genetics (2023) 136:138
Page 7 of 21 138
◂
Fig. 3 Transcriptional changes in solid stem samples (Westonia and
Sbulks) and hollow stem samples (Kauz and Hbulks). A Venn dia-
gram showing a total of 2424 coexisting in the comparison of ‘Westo-
nia vs Kauz’ and ‘Sbulks vs Hbulks’; B Heat map showing the DEGs
with the same expression profiles. Gene expression was normalized
and transformed by log10 (FPKM + 1) values. Red and Green lines
represent genes showing high and low expression levels, respectively.
Hcluster: hollow cluster; Scluster: solid cluster; C GO term enrich-
ment analysis of DEGs in two clusters; D Enriched KEGG pathway
scatterplots for DEGs in two cluster (colour figure online)
KEGG pathway analysis showed that the significantly
enriched metabolic pathways in the Scluster including
carbon metabolism, biosynthesis of amino acids and pro-
tein processing (Fig. 3D). While in the Hcluster, four sig-
nificantly enriched pathways were found, including the
plant-pathogen interaction pathway, plant hormone signal
transduction, phenylpropanoid biosynthesis and MAPK
signalling pathway. Among them, phenylpropanoid biosyn-
thesis is an important metabolic pathway to scavenge the
over-accumulated reactive oxygen species (ROS) which may
cause oxidative damage to proteins, lipids, and DNA, ulti-
mately resulting in PCD (Sharma et al. 2012).
Histochemical detection of superoxide anion
accumulation during stem development
As reflected by the GO and KEGG analyses, significantly
enriched DEGs were found related to oxidative stress and
ROS scavenging pathway in low PT samples. We suspected
that ROS metabolism of which might be more active than
that in high PT samples. This was consistent with the ROS
accumulation in stems detected by NBT staining. At Z30
stage, the dark blue deposit was found in the pith cells and
xylem vessel elements in the stem of ‘Kauz’ (Fig. 4A), but
no obvious staining was found in ‘Westonia’ (Fig. 4D).
At Z32 stage, only xylem vessel elements of ‘Kauz’ were
intensely stained by NBT (Fig. 4B), while, at Z65 stage,
neither ‘Kauz’ nor ‘Westonia’ showed strong staining signals
(Fig. 4C, D). This result confirmed the accumulation of ROS
in ‘Kauz’ was higher than that in ‘Westonia’, and the active
ROS metabolism in ‘Kauz’ may be involved in pith PCD, as
ROS can induce cell death.
SNP calling and DEG discovery via BSR‑seq
We further identified 72,301 expressed genes from four
sequencing libraries and 352,388 SNPs were called through
GATK in total. The genome-wide SNPs distribution was
shown in Fig. 5A. After filtering, 11,331 high-quality SNPs
were obtained (Table S5). The average density of SNPs on
all chromosomes was 0.74 SNPs per Mb, with the high-
est density on chromosome 5B (1.47 SNPs per Mb) and
the lowest density on chromosome 4D (0.11 SNPs per
Mb) (Table S5). The sequencing depth of the four samples
ranged from 6.84 × to 9.93 × ; 2275 of the SNPs were non-
synonymous. Under the threshold of 99% confidence, only
one putative candidate region has been revealed (Table S6,
Fig. 5B). This region contains the Qpt-3B QTL with a
genomic size of 6.83 Mb (819, 897, 386–826, 725, 912 bp).
Using ∆SNP > 0.74 as a threshold (Hao et al. 2019), a
total of 25 SNPs with high confidence were identified in this
region, and 24 SNPs were in the exon region (Table S7). The
variants in the Qpt-3B QTL region were examined using the
Integrative Genomics Viewer (IGV) (Thorvaldsdóttir et al.
2013). One gene (TraesCS3B02G597900) showed consistent
frequencies of DNA variants with corresponding parents at
about 0% in Hbulks and 100% in Sbulks (Fig. S2).
By searching the candidate region and adjacent region,
a total of 143 high confidence genes were included, among
which 44 genes were detected in at least one comparison
group through RNA-seq. The expression analysis revealed
that all these expressed genes could be divided into four
categories. The first two categories include the genes only
expressed in one of the samples. In the other two catego-
ries, genes are expressed in both samples but up-regulated
in one of the samples (Table S8 and Table S9). We found
16 coexisting DEGs with the same expression pattern in
two comparison groups. Among them, 12 DEGs were highly
expressed (> twofold) in both ‘Kauz’ and Hbulk, while 4
DEGs (TraesCS3B02G597800, TraesCS3B02G597900,
TraesCS3B02G603900 and TraesCS3B02G608500) were
highly expressed in both ‘Westonia’ and Sbulk (Fig. 5C).
These four genes have potentially deleterious SNPs and
Indels related to high PT phenotype (Table S7). The expres-
sion levels of TraesCS3B02G597800, TraesCS3B02G597900
and TraesCS3B02G603900 were higher in low PT samples
‘Kauz’ and ‘Hbulk’, while TraesCS3B02G608500 was
higher in high PT samples ‘Westonia’ and ‘Sbulk’.
qRT‑PCR
Twelve DEGs in the 3BL candidate region were validated
through real-time qRT-PCR to verify the authenticity
of RNA-seq results. The designed primer set was listed
(Table S3). The qRT-PCR results confirmed the direction
of regulation (positive or negative) between high and low PT
samples for selected genes. The log2 fold-change (log2FC)
value was also similar for the majority of genes, with a cor-
relation coefficient of 0.85 and 0.68 between RNA-seq and
qRT-PCR data sets derived from ‘Westonia vs Kauz’ and
‘Sbulks vs Hbulks’, respectively (Fig. 6A).
In addition, six genes were selected for further investiga-
tion of gene expression profiles at three stem developmen-
tal stages in two different tissues (Fig. 6B). Among them,
four DEGs with selected based on SNPs, while the other
two DEGs were selected based on gene annotation results.
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Theoretical and Applied Genetics (2023) 136:138
Fig. 4 NBT staining for ROS in wheat stems at Z30, Z32 and Z65
stage. NBT reacts with ROS to form a dark blue insoluble formazan
compound. ‘Kauz’ stem section A–C, ‘Westonia’ stem section (D–F).
V, xylem vessel elements; P, pith parenchyma cells. The staining dif-
ferences are mark by arrows (colour figure online)
TraesCS3B02G608800 was annotated as a Dof transcription
factor, which might be involved in regulating stem pith cell
apoptosis. TraesCS3B02G612000 was annotated as Caf-
feic acid 3-O-methyltransferase (COMT), which might be
involved in the stem lignin synthesis pathway.
Except for the GATA transcription factor gene
(TraesCS3B02G603900) and the aquaporin gene
(TraesCS3B02G608500), the other four genes showed
significant expression differences at three developmen-
tal stages. The expression profiles of two VPE genes
(TraesCS3B02G597800 and TraesCS3B02G597900) were
similar, displaying high expressions in stems than in leaves.
Their expression levels were significantly higher in low PT
‘Kauz’, with the highest transcript abundance at Z32 stage
then showed a downward trend at Z65 stage. COMT gene
(TraesCS3B02G612000) also maintained a higher relative
expression level in ‘Kauz’, with the gene transcript abun-
dance increasing gradually and reaching peak at the flower-
ing stage.
In addition, the Dof gene (TraesCS3B02G608800) was
highly expressed in ‘Westonia’ and the transcript abundance
was the highest at the early stage of stem tissue in both par-
ents and then gradually decreased during development. It
can be seen that the expression levels of VPE, DOF and
COMT genes varied between developing stages. VPE and
DOF were highly expressed at the stem elongation stage
(Z32) when the stem pith cells were undergoing autoly-
sis; while COMT accumulated significantly at the flower-
ing stage (Z65). Considering that VPE is a cysteine-type
endopeptidase and plays an important role in regulating
the programmed death of plant cells, we concluded that
TraesCS3B02G597800 and TraesCS3B02G597900 are more
likely to be the genes responsible for the phenotypic differ-
ences in pith thickness.
Sequencing and phylogenetic analysis
of TraesCS3B02G597900
In the candidate region, the CDS of six genes were amplified
in the parents. Primers for six genes (TraesCS3B02G597800,
Tra e s C S 3 B 0 2 G 5 9 7 9 0 0 , Tra e s C S 3 B 0 2 G 6 0 3 9 0 0,
TraesCS3B02G608500, TraesCS3B02G608800 and
TraesCS3B02G612000) are shown in the Table S3. The cor-
responding PCR products were sequenced and aligned with
the reference genome (IWGSC v2.1).
TraesCS3B02G597800 and TraesCS3B02G597900 from
low PT stem parent ‘Kauz’ shared the same sequence as
the reference. The sequence of TraesCS3B02G597800 in
high PT parent ‘Westonia’ contains only one missense SNP,
while TraesCS3B02G597900 has not only several point
mutations but also a 9-bp deletion in the first exon, result-
ing in a 3-aa deletion and 14 amino acid substitutions in
‘Westonia’ (Fig. 7A, Fig. S3). Of the 14 amino acid substi-
tutions, M465T displayed an extremely low SIFT (Sorting
Intolerant from Tolerant) score of 0.01, implying that the
substitution could affect the protein function according to
Sim et al. (2012).
Phylogenetic analysis was performed on putative VPE
amino acid sequences from common wheat, Brachypodium
distachyon (a relative of the wheat), the distant relative rice
1 3
Theoretical and Applied Genetics (2023) 136:138
Page 9 of 21 138
(Oryza sativa) and model plant Arabidopsis thaliana. The
phylogenetic tree showed that wheat VPEs can be clustered
into five clades with one Brachypodium VPE in each clade,
including the endosperm-specific VPE1, the pericarp-spe-
cific VPE4, and vegetative tissue-specific VPE3 and VPE5.
For the VPE3 subfamilies, the wheat genome harbours three
copies (VPE3a, 3b and 3c) with one from each of the three
sub-genomes. TraesCS3B02G597900 belongs to VPE3 fam-
ily (Fig. 7B). Therefore, we named it TaVPE3cB.
TaVPE3 contains two conserved domains, peptidase C13
domain and legumain C domain. The N-terminal catalytic
domain is a caspase-like from C13 family and the C-terminal
is involved in legumain stabilization and activity modulation
(LSAM). In high PT parent ‘Westonia’, TaVPE3cB contains
three amino acid substitutions in the catalytic domain, one
in the activation peptide and eight in the LSAM domain
(Fig. S4). Nevertheless, there was no substitution of the key
amino acids in the substrate pocket and catalytic dyad site
(Hara-Nishimura et al. 2005).
The sequence similarity analysis in ten common wheat
varieties (‘Westonia’, ‘Lancer’, ‘CDC Landmark’, ‘Claire’,
‘Janz’, ‘Chinese Spring’, ‘Julius’, ‘SyMattis’, ‘Weebill’,
‘Kauz’) revealed that TaVPE3cB has two natural allelic vari-
ations. High pith-thickness cultivars, such as ‘Lancer’, ‘CDC
Landmark’ and ‘Janz’, shared the same allele as ‘Westonia’,
which was named TaVPE3cB.b; while low pith-thickness
‘Kauz’ carries the same allele as ‘Chinese spring’, ‘Julius’,
‘SyMattis’ and ‘Weebill’, which was named TaVPE3cB.a
(Fig. S4).
Next, we cloned the 1 kb promoter of TaVPE3cB.a
and TaVPE3cB.b. Sequence alignment revealed 73.83%
sequence identity and a 309 bp insertion at 284 bp upstream
of the start codon in the promoter of TaVPE3cB.b in Westo-
nia (Fig. S5). We also carried out predictive analysis of the
cis-acting elements in the promoters of TaVPE3cB.a and
TaVPE3cB.b using PlantCARE. The analysis revealed vari-
ous possible cis-acting elements in the two promoters that
were mostly related to phytohormone response and stress
induction, implying that TaVPE3cB may participate in the
regulation of multiple phytohormones and environmental
signalling pathways. Within the 309 bp insertion in the pro-
moter of TaVPE3cB.b, 21 cis-acting elements exist includ-
ing one unique cis-acting element MBS (MYB binding site
involved in drought-inducibility, CAA CTG ) motif.
SNP marker development and linkage analysis
for a major pith‑thickness locus on 3BL
To facilitate the use of TaVPE3cB.b in wheat-breeding pro-
grams and confirm that all high pith-thickness accessions
contain TaVPE3cB.b allele with the 309-bp insertion in
the promoter, we developed two allele-specific PCR mark-
ers (Table S3), Qpt3B-F1/R1 (dominant SNP marker) and
Qpt3B-F2/R2 (codominant Indel marker for the promoter).
The PCR products of Qpt3B-F1/R1 were 1097 bp in size
for the varieties carrying TaVPE3cB.b allele, whereas no
bands were amplified for the varieties carrying TaVPE3cB.a.
The PCR products of Qpt3B-F2/R2 displayed a 634-bp band
from TaVPE3cB.b, whereas a 325 bp band was observed in
the varieties containing TaVPE3cB.a (Fig. S6). The genotyp-
ing results obtained from these two pairs of markers were
the same.
Using these two pairs of allele-specific PCR markers to
screen the DH population and historical varieties, we found
that the TaVPE3cB.b genotype is closely linked to the high
PT phenotype, while TaVPE3cB.a was associated with the
low pith-thickness phenotype (Fig. 8A). The discrimination
rate of this marker in high PT (PI > 0.6) DH lines was 100%,
and 87.64% in low PT DH lines (PI < 0.4). A Spearman’s
correlation coefficient of 0.782 (P < 0.01) between the PT
index and TaVPE3cB.b gene demonstrated that TaVPE3cB.b
significantly increase wheat stem pith-thickness in the DH
population. However, the marker discrimination rate was
low to 74.41% in high pith-thickness historical varieties
(PI > 0.6), demonstrating the presence of other PT-related
loci in some wheat varieties. When extreme phenotype vari-
eties with solid stem (PI > 0.8) were tested, the detection rate
was 89.47%. The discrimination rate of low PT (PI < 0.4)
varieties was 89.79%, which was consistent with that in low
PT DH lines, and the Spearman’s correlation coefficient was
0.501 (P < 0.01) between the PT index and TaVPE3cB.b
gene. Therefore, this marker can be useful to identify the
allele of QTL-3B for wheat varieties.
The newly developed makers of Qpt3B were integrated
into the previous QTL-3B linkage map developed by Zhao
(2019). Finally, this marker was mapped in the genetic
region of 302.5 cM. The QTL linked to high pith-thickness
was detected under three individual environments using
DH lines. This QTL was confined to an interval of 3.41 cM
flanked by markers Qpt3B and NM3950 (Fig. 8B) and
explained 68.72% and 13.85% of the phenotypic variance
with the LOD value of 40.59 and 12.13, respectively.
Expression analysis of TaVPE3cB
Promoter structural analysis has wide implications in the
prediction of gene expression profiles. We analyzed the GC-
content in the 1.5 kb fragment upstream from the transla-
tion initiation codon of the TaVPE3cB allelic variations and
found that the AT-content of TaVPE3cB.a and TaVPE3cB.b
promoter was 56% and 53%, respectively, higher than the
corresponding GC content, which is characteristic of an AT-
rich plant gene-promoter element. To clarify the contribu-
tion of the 309 bp indel to gene expression, we performed
qRT-PCR using the stems of ‘Chinese spring’ (CS) and 15
varieties containing TaVPE3cB.a genotype and 15 varieties
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Theoretical and Applied Genetics (2023) 136:138
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Fig. 5 SNP calling and DEG discovery via BSR-Seq. A Circos graph
◂
of genome-wide genes and SNPs distribution. The outer circle rep-
resents chromosomes, the middle circle represents gene distribu-
tion, and the inner circle represents the SNP density distribution.
B: BSR-seq mapping of pith-thickness based on ∆SNP index value.
‘Bulk1’ represent the Hbulk SNP index, ‘Bulk2’ represent the Sbulk
SNP index. The x-axis represents the position of chromosomes and
the y-axis represents the SNP index or ∆SNP index value. The blue
line represents the average value of ∆SNP index which was computed
in a 5 Mb interval using a 50 kb sliding window. The red line and
purple line represent the 99% and 95% confidence level threshold,
respectively. C Gene expression comparison within the pith-thick-
ness interval in the Chinese spring chromosome 3B as the reference.
Physical positions are shown to the left of the map in Mb. Genes that
contained SNPs between two parents are highlighted in green font.
Gene expression differences between ‘Westonia vs Kauz’ and ‘Sbulk
vs Hbulk’ comparisons are shown as a heatmap on the right. Posi-
tive fold changes shown in red shading indicate higher expression in
the solid sample. Negative fold changes shown in blue shading indi-
cate higher expression in the hollow sample. Expression values are
expressed as log2 FC. The red dot highlights the DEGs with upreg-
ulated expression in both ‘Westonia’ and solid bulk; the green dot
highlights DEGs with downregulated expression in both ‘Kauz’ and
hollow bulk (colour figure online)
containing TaVPE3cB.b genotype, which were selected from
171 historical varieties. The expression in all varieties con-
taining TaVPE3cB.b (with 309 bp insertion) was lower than
that in those containing TaVPE3cB.a (without the 309 bp
insertion) (Fig. 9). This indicates that this 309 bp insertion
can downregulate the expression of TaVPE3cB.b, which fur-
ther inhibits pith death to induce a high PT stem phenotype.
Discussion
Insights of pith thickness formation mechanism
Wheat stems are generally solid in the nodal region at the
initial developmental stage, followed by an internodal cav-
ity formation due to the death of pith cells during internode
elongation. The genes responsible for stem pith-thickness
are probably involved in the death of pith cells and cell wall
composition. For example, pith thickness can be modulated
by activating or inhibiting PCD (Fujimoto et al. 2018), or
changing the cell wall composition, increasing stem cell wall
thickness and lignin content (Kong et al. 2013).
Plant cysteine proteases and PCD of stem
Previous studies have revealed the roles of cysteine pro-
teases in plant development as PCD initiators and executors
(Rustgi et al. 2017; Sueldo and van der Hoorn 2017; Zhang
et al. 2014). VPEs are cysteine proteinases and have impor-
tant functions in the processing and maturation of proteins
and PCD in the plant (Hara-Nishimura et al. 1993). Four
functional VPE isoforms (α, β, γ, and δ-VPE) have been
identified in Arabidopsis (Shimada et al. 2003). They can
be divided into two subfamilies: seed type (β and δ- VPE)
and vegetative type (α and γ- VPE), which are expressed
primarily in seeds and vegetative organs, respectively. Seed
type VPEs involve in the processing and maturation of seed
storage proteins (Gruis et al. 2004), while vegetative type
VPEs are found in lytic vacuoles and have been confirmed to
involve in plant PCD and may act as functional substitution
of caspases (Hatsugai et al. 2015). Arabidopsis γvpe mutants
revealed that hypersensitive response related to PCD is
reduced and the susceptibility to pathogens is increased in
the absence of γVPE, as cell death can be blocked (Rojo
et al. 2004).
In this study, the GO enrichment analysis revealed that
the Hcluster contains 35 up-regulated genes encoding for
enzymes with aspartic, serine, and cysteine endopeptidase
activity. We also found that TaVPE3cB was highly expressed
in stem tissues rather than leaves at the elongation stage.
The results are consistent with the finding of Kinoshita et al.
(1995) in that γVPE is expressed predominantly in the stem
of wheat. Recently, Cheng et al. (2019) demonstrated that
γVPE regulates xylem fiber cell PCD by activating cysteine
endopeptidase 1 (CEP1) during stem development, and
CEP1 can function as an executor in clearing cellular con-
tents during PCD in xylem development. Moreover, the
mutation of γVPE exhibited a similar phenotype as cep1
mutant, such as incomplete degradation of the cellular con-
tents and thickening secondary cell walls, which was caused
by the prolonged PCD in xylem cells (Han et al. 2019). It
was concluded that γVPE is not only involved in the matura-
tion of CEP1, and also plays an important role in regulating
the degradation of cellular content and the thickening of the
secondary cell wall (Cheng et al. 2019). And more notably,
Fujimoto et al. (2018) identified a NAC transcription fac-
tor and referred as D gene (Sobic.006G147400), which up-
regulated the expression of CEP1 and VPEs, thus triggering
pith parenchyma cell PCD in sorghum. Therefore, we can
speculate that the downregulated expression of TaVPE3cB
blocked pith cell apoptosis, leading to thicker pith tissue.
Transcriptional regulatory factors and PCD of stem
A putative Dof zinc finger protein (TraesCS3B02G608800)
was found in the adjacent region of PT QTL. It is the
ortholog gene of TdDof (TRITD3Bv1G280530). Nilsen
et al. (2020) demonstrated that multiple copy numbers
of TdDof increased the accumulation of gene transcripts
and eventually inhibited PCD in pith parenchyma cells
of solid-stemmed durum wheat. However, an exception
was found in an Australia common wheat cultivar ‘Janz’,
which only had a single copy of Dof but still exhibited the
solid stemmed phenotype (Beres et al. 2013; Nilsen 2017).
In addition, the relative copy number of TaDof gene was
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Theoretical and Applied Genetics (2023) 136:138
Fig. 6 Real-time quantitative PCR of candidate genes at three devel-
opment stage in two parental lines. A Validation of RNA-seq data for
differential gene expression by qRT-PCR. Inset: simple correlation
plot of the log2 FC in expression obtained by RNA-Seq (x-axis) and
qRT-PCR (y-axis). B Expression profiles of two VPEs, Dof, GATA,
COMT and Aquaporin in each corresponding period of two parents in
leaves and stems, respectively (colour figure online)
estimated with the ∆∆CT method using a single copy gene,
TraesCS3B02G612200, as the endogenous control gene. No
copy number difference was found between the two paren-
tal lines and among the DH lines. In addition, the gene fell
outside of our defined QTL interval, suggesting that it is not
a strong candidate gene of the QTL identified in the ‘Westo-
nia’/ ‘Kauz’ DH population.
In the current study, the PT QTL interval also harbours a
GATA 17 transaction factor gene (TraesCS3B02G603900).
GATA 12 has been reported to be involved in regulating
the processes of plant xylem vessel differentiation and PCD
(Cubría-Radío and Nowack 2019). For example, overexpres-
sion of AtGATA12 in Arabidopsis can induce the formation
of ectopic xylem vessel-like elements by manipulating the
expression of VND7 transcription factor (Endo et al. 2015).
Similarly, overexpression of PtrGATA12 in poplar resulted
in increased contents of lignin and secondary cell wall
(SCW) thickness by controlling the expressions of some
master TFs and pathway genes involved in SCW formation
and PCD. Moreover, the PtrGATA12 transgenic lines exhib-
ited significantly increased stem diameter (Ren et al. 2021).
Besides, GATA19 has been proved to be involved in regulat-
ing plant growth rate. For instance, PdGATA19 transgenic
lines exhibited increased biomass accumulation, stem height
and photosynthetic rate; while CRISPR/Cas9-mediated
mutant plants showed severe developmental retardation and
increased formation of secondary xylem (An et al. 2020).
In this study, three polymorphic SNPs with higher ΔSNP
index values (> 0.75) were found in this gene. Both RNA-
seq and qRT-PCR showed that the expression level of this
gene is also different between the two parents as well as the
two bulked samples.
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Theoretical and Applied Genetics (2023) 136:138
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Fig. 7 Amino acid sequence alignment and phylogenetic tree of
TraesCS3B02G597900. A Alignment of the deduced amino acid
sequences of TraesCS3B02G597900 from ‘Westonia’ and ‘Kauz’.
The red rectangle represents a 9 bp Indel. The red triangle represents
an amino acid substitution M465T with SIFT = 0.01; B Phylogenetic
tree of vacuolar processing enzyme family. This tree illustrates the
VPE1-5 family groups and includes VPE proteins from Arabidopsis
(red font), rice (blue font), Brachypodium (orange font) and wheat
(black font). Red star represents TraesCS3B02G597900 (colour figure
online)
Cell wall modification and cell expansion
COMT is considered as an important gene that functions
in lignin biosynthesis, and it is positively correlated with
lignin content in wheat stems (Bi et al. 2011). Lignin dep-
osition could reinforce the cell wall to provide mechanical
support to the stem which makes it possible to modify
stem strength and lodging resistance by affecting lignin
content (Ma 2009; Tu et al. 2010).
A p u t a t i v e O - m e t h y l t r a n s f e r a s e g e n e
(TraesCS3B02G612000) which contains the O-MeTrfase_
COMT domain was located on the adjacent region of the
target QTL. This gene was suggested as a promising
candidate gene for stem pith production based on strong
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Theoretical and Applied Genetics (2023) 136:138
Fig. 8 TaVPE3cB marker development and linkage map analysis. A Pith-thickness index in TaVPE3cB.a and TaVPE3cB.b genotypes of DH
population (a) and historical lines (b). B Location of QTL for PT on 3B under three individual environments (2018-2020)
differential expression between solid and hollow cultivars
(Oiestad et al. 2017). In the current study, no SNP for
COMT was found between the two parental lines. How-
ever, it was significantly up-regulated in low PT ‘Kauz’
and hollow bulked samples with log2 FC of 2.25 and 1.64,
respectively. In addition, GO analysis also identified sig-
nificant functional enrichment of O-methyltransferase in
Hcluster. This suggests that the activity of cellular ligni-
fication by COMT was lower in high PT Wheat, which
is consistent with the result reported by Nilsen (2017).
1 3
Theoretical and Applied Genetics (2023) 136:138
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Fig. 9 Expression analysis of TaVPE3cB.a and TaVPE3cB.b in
historical wheat varieties. The red line shows the relative expres-
sion levels of TaVPE3cB in CS which contains TaVPE3cB.a (con-
trol). + , − Denote TaVPE3cB.b containing the 309 bp insertion and
TaVPE3cB.a missing the 309 bp insertion in the promoter, respec-
tively. ∗, ∗∗Denotes significant differences at 5% and 1% probability
levels, respectively (colour figure online)
Taking together, TraesCS3B02G612000 affects PT is
probably through lignifying the stem pith cell wall.
An aquaporin gene (TraesCS3B02G608500) was also
observed adjacent to the PT QTL interval. Aquaporins
are universal membrane integrated water channel proteins
which play an important role in cell expansion and cell
division by controlling water uptake (Maurel et al. 2015).
Fujimoto et al. (2018) found high PT stems were filled
with plump pith cells which enhanced stem water con-
tent. In this study, a tonoplast intrinsic protein aquaporin
gene (TIP1) with two nonsynonymous substitutions in the
coding region showed significant expression-level differ-
ences. It was significantly upregulated in high PT sam-
ples but with low expression abundance (FPKM < 0.8).
Previous studies showed a correlation between TIP1
expression level with cell elongation and differentiation
in the vascular tissue of Arabidopsis thaliana (Ludevid
et al. 1992). In addition to TIP, the plasma membrane
intrinsic aquaporin (PIP) has been implicated in plant
stem growth. For example, increasing the expression of
PIP1b in transgenic tobacco can improve water transport
and transgenic plants with thicker stem diameters more
than those of wild-type plants (Aharon et al. 2003). Yu
et al. (2005) found that PIP1 antisense transgenic tobacco
plants displayed thicker and shorter stems than wild-type
plants. Therefore, the differential expression of aquaporin
genes may be the cause of differences in pith cell expan-
sion and water uptake between the two stem phenotypes.
Metallothionein and PCD of stem
Plant metallothionein (MT) is a small and functionally,
cysteine-rich protein that plays multiple roles in reactive
oxygen species (ROS) scavenging. Metallothionein protein
functions as a cytosol ROS scavenger, it can stall the signal
transduction of ROS-mediated PCD, which is a widespread
regulatory mechanism for eliminating unwanted cells in
normal plant growth and development. For example, the
OsMT2b gene in rice and the MT3a gene in cotton exhib-
ited strong antioxidative activities against ROS (Xue et al.
2009). Knocking out OsMT2b caused excessive epider-
mal cell death in stems (Steffens and Sauter 2009). Beers
(1997) proposed that PCD is essential for eliminating pith
parenchyma cells and forming aerenchyma to facilitate gas
exchange. In addition, previous studies have shown that pith
PCD activation is inhibited in solid stemmed wheat during
stem elongation (Nilsen et al. 2020). Therefore, MT could
be involved in the normal PCD of pith cells. In this study, we
observed significant up-regulation of MT genes in low PT
samples according to RNA-seq results, which may be due
to the antioxidant defence mechanism increasing the expres-
sion of ROS scavenger genes, thus mitigating the damage
caused by ROS. Based on the above results, we proposed a
regulation model for the formation of wheat hollow stems
(Fig. 10). The topmost level of regulation of the differences
between high PT and low PT stem was correlated with a hor-
monal signalling pathway. Many DEGs involved in auxin,
1 3138 Page 16 of 21
Fig. 10 Five-level hierarchy
diagram of stem pith cells PCD.
Dotted lines indicated indirect
regulation; solid lines indicate
direct regulation
Theoretical and Applied Genetics (2023) 136:138
cytokine and brassinosteroid plant hormone signal transduc-
tion were revealed by KEGG analysis, and the role of this
pathway in regulating stem elongation has been reviewed by
Haruta and Sussman (2017). In the downstream of hormonal
signalling, multiple transcription factors such as NAC, Dof
and GATA have been involved in cell differentiation includ-
ing PCD as its final destination. In this pathway, numerous
proteases participate in PCD execution. The most common
executor is cysteine proteases, such as CEP1, VPE and meta-
caspases, which have been shown to contribute to cellular
autolysis before and after PCD. In addition, ROS can act
as the cell death signal in the MAPK signalling pathway
together with hormones to activate protease to initiate cell
death (Biswas and Mano 2016; Li et al. 2012; Overmyer
et al. 2003). After hydrolytic enzymes are released, the cell
wall breakdown and cell wall components recombination
occurs, as many DEGs are related to polysaccharides and
cellulose metabolic, lignin biosynthesis, glycosyltransferase
and aquaporins, which can modify the cell wall component
(Gunawardena et al. 2007). Eventually, the pith cell vacuolar
ruptures and triggers chromatin degradation (Obara et al.
2001).
Comparison of genes/QTLs for stem‑related traits
In the wheat breeding program (Dreccer et al. 2020), the
design of wheat varieties with wider stem diameter, high
culm wall thickness, small pith cavity and high stem sol-
idness is desirable for enhancing stem strength and lodg-
ing resistance. Using forward genetic approaches, several
strong stem phenotype-related QTLs have been identified.
SSt1 in durum wheat and Qss.msub-3BL in common wheat
are the earliest mapped stem solidness loci on chromosome
3B. Later, loci on 1A, 2D, 3B and 4B for culm wall thick-
ness and pith diameter were identified. However, only the
loci on 1A for culm wall thickness and the 3B locus for
stem solidness have been identified through map-based
cloning. The Csl is the candidate gene from chromosome
1A, which altered carbon partitioning throughout the plant
and increased the cell wall thickness (Hyles et al. 2017).
TdDof (TRITD3Bv1G280530) was cloned as the most likely
SSt1 candidate gene due to different copy numbers in solid-
stemmed and hollow-stemmed durum wheat lines. Likewise,
TaDof (TraesCS3B01G608800) has been reported as the can-
didate gene for Qss.msub-3BL.
In previous studies of our group, Zhao (2019) detected
the major QTLs for wheat pith thickness and stem diameter
on 3BL by using DH population from ‘Westonia’/ ‘Kauz’.
The 3B QTL for PT was saturated to a 3.0 cM interval which
corresponded to a 1.43 Mb (820,760,675–822,192,510 bp)
physical region and was stably expressed in five differ-
ent environments. In this study, one PT-related candi-
date interval was identified at a 6.83 Mb physical interval
(819,897,386–826,725,912 bp) of 3BL using BSR-seq data.
1 3
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Page 17 of 21 138
However, the reported TaDof in Qss.msub-3BL is situated
at 828,110,748–828,112,481 bp, which is different from
the QTL region in this study. Meanwhile, the copy number
estimation using the ∆∆CT method also excluded the pos-
sibility of TaDof being the candidate gene for the QTL in
our study (see below for details). These indicate that there
are other candidate genes present in ‘Westonia’ for the PT
phenotype.
The novel maker developed in this study was mapped
to the adjacent region reported by Cook et al. (2004)
(gwm247, gwm340, gwm547, and BARC77), Pan et al.
(2017) (gwm547–gwm247) and Piñera‐Chavez et al. (2021)
(gwm285 and gwm547). Furthermore, the physical region
mapped with MutMap in the current overlapped with the
region from those of Zhao (2019) (NM1756–NM3950). Six
genes were selected based on BSR-seq analysis, differen-
tial expression analysis and gene functional annotation. The
gene effect of TraesCS3B02G597900 on PT phenotype was
verified through an SNP maker in 171 historical wheat cul-
tivars. These results demonstrate that TraesCS3B02G597900
is the candidate gene underlying the 3BL QTL in our study.
TraesCS3B02G597900 is a putative candidate gene
for pith‑thickness
Based on sequencing results, TraesCS3B02G597900
(TaVPE3cB) showed a 9 bp Indel and multiple nonsyn-
onymous SNPs between the two parents. RNA-seq results
showed that this gene has significant differences between the
two parents (log2FC = −3.77) and between the two extreme
pools (log2FC = −2.55). In addition, qRT-PCR results con-
firmed that this gene was highly expressed in low PT sam-
ples during the stem elongation stage, which is a critical
time for the central pith cells to initiate apoptosis and form
the pith cavity (Nilsen et al. 2020). The negative correlation
between gene expression level and pith thickness extent was
confirmed in the current study. In addition, the expression
profiles of TaVPE3cB in CS and 30 wheat varieties indicated
that a 309 bp insertion in the promoter might inhibit the gene
expression. This insertion contains a unique MBS motif that
is related to drought inducibility. Several studies confirmed
that gene expressions can be affected by large Indels located
in the promoter region. For example, a 160-bp insertion in
the promoter of Rht-B1i-1 significantly enhances the gene
expression and significantly increased the plant height of
wheat (Lou et al. 2016). Recently, Mao et al. (2022) con-
firmed that a 108 bp insertion in the promoter of TaNAC071-
A increases its gene transcription level and drought toler-
ance. However, further functional validation of this 309 bp
indel in the promoter of TaVPE3cB is required.
We designed a dominant SNP marker Qpt3B-F1/R1 and
re-mapped it in the DH population and found the phenotype
was co-segregated with it. When genotyping 171 historical
Australian wheat cultivars, TaVPE3cB.b is significantly
related to low pith thickness with a correlation coeffi-
cient of 0.501 (P < 0.01), and the ratio of TaVPE3cB.a to
TaVPE3cB.b is about 2:1, suggesting that the percentage of
high PT wheat variety is less than the low one. This finding
is consistent with the fact that most wheat cultivars grown
worldwide have a hollow stem with a thin pith, only a small
number of varieties have fully developed stem pith cells and
exhibit solid stemmed phenotype (Pluta et al. 2021).
Improving the pith thickness of wheat stem is a way to
increase the ability of wheat to resist lodging (Kong et al.
2013), wheat stem sawfly (Beres et al. 2011), and drought
stress (Monneveux et al. 2012). Several studies have shown
that the diameter and the wall thickness of the basal stems
are positively related to lodging and stem mechanical
strength (Pinera-Chavez et al. 2016; Zuber et al. 1999). In
addition, the thickness of the pith parenchyma also posi-
tively affects the mechanical resistance against stem bend-
ing. For instance, wheat cultivars with solidness-stems tend
to have higher resistance against stem bending than hollow-
stem wheat cultivars (Kong et al. 2013). However, stem wall
thickness can lead to increasing stem material per unit of
strength which can be biomass costly. Berry et al. (2007)
suggested that the ideal strategy to enhance lodging resist-
ance with the minimum biomass investment in winter wheat
would be to increase internode width and internode material
strength instead of stem wall thickness. Therefore, it might
be a possible strategy of breeding lodging tolerance wheat
with higher biomass through mutating TaVPE3, which might
have some effects on the biosynthesis of the secondary cell
wall and regulating pith thickness.
Conclusion
The present study identified mRNA variants in com-
mon wheat for stem pith thickness through BSR-seq.
One pith thickness-related candidate region was located
on a 6.83 Mb physical interval of Qpt-3B using BSR-seq
data. A total of sixteen genes were found differentially
expressed, among them four DEGs, TraesCS3B02G597800,
TraesCS3B02G597900, TraesCS3B02G603900 and
TraesCS3B02G608500, exhibited both differential expres-
sion levels and polymorphic SNPs between high PT and low
PT samples. Finally, TaVPE3cB was identified as a high-
confidence candidate gene for PT. The SNP makers for the
candidate gene were developed and successfully separated
TaVPE3cB.a and TaVPE3cB.b alleles. It was further applied
to screen historical wheat cultivars of different pith thick-
nesses. In addition, an insertion in the promoter region of
TaVPE3cB has been found related to the downregulation of
this gene expression in wheat.
1 3138 Page 18 of 21
Theoretical and Applied Genetics (2023) 136:138
Supplementary Information The online version contains supplemen-
tary material available at https:// doi. org/ 10. 1007/ s00122- 023- 04372-4.
Acknowledgements This work was supported by Murdoch Univer-
sity and the Australia Grains Research & Development Corporation
(GRDC) (grant number UMU00048), the Department of Primary
Industries and Regional Development (DPIRD), Western Australia.
We thank InterGrain, Western Australia, for providing the Westonia
and Kauz DH population.
Author contribution statement WM, HM and SI conceived the pro-
ject and designed the study; QL, YZ, SI, SRHL and RY caried out
field experiments; QL, JZ, YR and YZ performed the gene sequenc-
ing, molecular marker development and data analysis; GO, JZ, RKV
and WM provided the resources for the study; QL and YZ wrote the
original draft of the manuscript; WM, JZ, and MS provided extensive
revision and editing; WM, SI and WY supervised and managed the
project. All authors have read and agreed to the published version of
the manuscript.
Funding Open Access funding enabled and organized by CAUL and
its Member Institutions. This research is financially support by GRDC
project UMU00048.
Data availability Electronic supplementary material The online
version of this article (https:// doi. org/ xxxxx) contains supplementary
material, which is available to authorized users.
Declarations
Conflict of interest The authors declare that there is no conflict of in-
terest.
Open Access This article is licensed under a Creative Commons Attri-
bution 4.0 International License, which permits use, sharing, adapta-
tion, distribution and reproduction in any medium or format, as long
as you give appropriate credit to the original author(s) and the source,
provide a link to the Creative Commons licence, and indicate if changes
were made. The images or other third party material in this article are
included in the article's Creative Commons licence, unless indicated
otherwise in a credit line to the material. If material is not included in
the article's Creative Commons licence and your intended use is not
permitted by statutory regulation or exceeds the permitted use, you will
need to obtain permission directly from the copyright holder. To view a
copy of this licence, visit http:// creat iveco mmons. org/ licen ses/ by/4. 0/.
References
Abe A, Kosugi S, Yoshida K, Natsume S, Takagi H, Kanzaki H, Mat-
sumura H, Yoshida K, Mitsuoka C, Tamiru M (2012) Genome
sequencing reveals agronomically important loci in rice using
mutmap. Nat Biotechnol 30:174–178
Aharon R, Shahak Y, Wininger S, Bendov R, Kapulnik Y, Galili G
(2003) Overexpression of a plasma membrane aquaporin in
transgenic tobacco improves plant vigor under favorable growth
conditions but not under drought or salt stress. Plant Cell
15:439–447
An Y, Zhou Y, Han X, Shen C, Wang S, Liu C, Yin W, Xia X (2020)
The GATA transcription factor GNC plays an important role in
photosynthesis and growth in poplar. J Exp Bot 71:1969–1984
Appleford NE, Wilkinson MD, Ma Q, Evans DJ, Stone MC, Pearce SP,
Powers SJ, Thomas SG, Jones HD, Phillips AL (2007) Decreased
shoot stature and grain α-amylase activity following ectopic
expression of a gibberellin 2-oxidase gene in transgenic wheat.
J Exp Bot 58:3213–3226
Beers EP (1997) Programmed cell death during plant growth and devel-
opment. Cell Death Differ 4:649–661
Beres BL, Dosdall LM, Weaver DK, Cárcamo HA, Spaner DM (2011)
Biology and integrated management of wheat stem sawfly and
the need for continuing research. Can Entomol 143:105–125
Beres B, Cárcamo H, Byers J, Clarke F, Pozniak C, Basu S, DePauw R
(2013) Host plant interactions between wheat germplasm source
and wheat stem sawfly cephus cinctus norton (hymenoptera:
cephidae) I. Commercial cultivars. Can J Plant Sci 93:607–617
Berry PM, Sylvester-Bradley R, Berry S (2007) Ideotype design for
lodging-resistant wheat. Euphytica 154:165–179
Berry PM, Berry S, Spink J (2008) Identification of genetic markers
for lodging resistance in wheat. Hgca Project Report
Bi C, Chen F, Jackson L, Gill BS, Li W (2011) Expression of lignin
biosynthetic genes in wheat during development and upon infec-
tion by fungal pathogens. Plant Mol Biol Report 29:149–161
Biswas MS, Mano JI (2016) Reactive carbonyl species activate cas-
pase-3-like protease to initiate programmed cell death in plants.
Plant Cell Physiol 57:1432–1442
Blum A (1998) Improving wheat grain filling under stress by stem
reserve mobilisation. Euphytica 100:77–83
Butler JD, Byrne PF, Mohammadi V, Chapman PL, Haley SD (2005)
Agronomic performance of Rht alleles in a spring wheat popu-
lation across a range of moisture levels. Crop Sci 45:939–947
Cheng Z, Zhang J, Yin B, Liu Y, Wang B, Li H, Lu H (2019) γVPE
plays an important role in programmed cell death for xylem fiber
cells by activating protease CEP1 maturation in arabidopsis thali-
ana. Int J Biol Macromol 137:703–711
Cingolani P, Platts A, Wang LL, Coon M, Nguyen T, Wang L, Land
SJ, Lu X, Ruden DM (2012) A program for annotating and pre-
dicting the effects of single nucleotide polymorphisms, SnpEff:
SNPs in the genome of drosophila melanogaster strain w1118;
iso-2; iso-3. Fly 6:80–92
Cook J, Wichman D, Martin J, Bruckner P, Talbert L (2004) Identifica-
tion of microsatellite markers associated with a stem solidness
locus in wheat. Crop Sci 44:1397–1402
Cubría-Radío M, Nowack MK (2019) Transcriptional networks orches-
trating programmed cell death during plant development. Curr
Top Dev Biol 131:161–184
Dreccer MF, Condon AG, Macdonald B, Rebetzke GJ, Awasi M-A,
Borgognone MG, Peake A, Piñera-Chavez FJ, Hundt A, Jack-
way P (2020) Genotypic variation for lodging tolerance in spring
wheat: wider and deeper root plates, a feature of low lodging,
high yielding germplasm. Field Crop Res 258:107942
Du H, Zhu J, Su H, Huang M, Wang H, Ding S, Zhang B, Luo A, Wei
S, Tian X (2017) Bulked segregant RNA-seq reveals differential
expression and SNPs of candidate genes associated with water-
logging tolerance in maize. Front Plant Sci 8:1022
Endo H, Yamaguchi M, Tamura T, Nakano Y, Nishikubo N, Yoneda A,
Kato K, Kubo M, Kajita S, Katayama Y (2015) Multiple classes
of transcription factors regulate the expression of vascular-related
NAC-DOMAIN7, a master switch of xylem vessel differentia-
tion. Plant Cell Physiol 56:242–254
FAOSTAT (2022) Food and agricultural organization of the united
nations, FAOSTAT. https:// www. fao. org/ faost at/ en/. Accessed
28 January 2022
Fujimoto M, Sazuka T, Oda Y, Kawahigashi H, Wu J, Takanashi H,
Ohnishi T, Yoneda J-I, Ishimori M, Kajiya-Kanegae H (2018)
Transcriptional switch for programmed cell death in pith paren-
chyma of sorghum stems. Proc Natl Acad Sci 115:E8783–E8792
Gruis D, Schulze J, Jung R (2004) Storage protein accumulation in the
absence of the vacuolar processing enzyme family of cysteine
proteases. Plant Cell 16:270–290
1 3
Theoretical and Applied Genetics (2023) 136:138
Page 19 of 21 138
Gunawardena AH, Greenwood JS, Dengler NG (2007) Cell wall deg-
radation and modification during programmed cell death in lace
plant, aponogeton madagascariensis (aponogetonaceae). Am J
Bot 94:1116–1128
Hai L, Guo HH, Xiao SH, Jiang GL, Zhang XY, Yan CS, Xin ZY,
Jia JZ (2005) Quantitative trait loci (QTL) of stem strength and
related traits in a doubled-haploid population of wheat (triticum
aestivum L.). Euphytica 141:1–9
Han J, Li H, Yin B, Zhang Y, Liu Y, Cheng Z, Liu D, Lu H (2019) The
papain-like cysteine protease CEP1 is involved in programmed
cell death and secondary wall thickening during xylem develop-
ment in arabidopsis. J Exp Bot 70:205–215
Hao Z, Geng M, Hao Y, Zhang Y, Zhang L, Wen S, Wang R, Liu G
(2019) Screening for differential expression of genes for resist-
ance to sitodiplosis mosellana in bread wheat via BSR-seq analy-
sis. Theor Appl Genet 132:3201–3221
Hara-Nishimura I, Takeuchi Y, Nishimura M (1993) Molecular char-
acterization of a vacuolar processing enzyme related to a puta-
tive cysteine proteinase of schistosoma mansoni. Plant Cell
5:1651–1659
Hara-Nishimura I, Hatsugai N, Nakaune S, Kuroyanagi M, Nishimura
M (2005) Vacuolar processing enzyme: an executor of plant cell
death. Curr Opin Plant Biol 8:404–408
Haruta M, Sussman MR (2017) Ligand receptor-mediated regulation
of growth in plants. Curr Top Dev Biol 123:331–363
Hatsugai N, Yamada K, Goto-Yamada S, Hara-Nishimura I (2015)
Vacuolar processing enzyme in plant programmed cell death.
Front Plant Sci 6:234
Hayat M, Martin J, Lanning S, McGuire C, Talbert L (1995) Variation
for stem solidness and its association with agronomic traits in
spring wheat. Can J Plant Sci 75:775–780
Hedden P (2003) The genes of the green revolution. Trends Genet
19:5–9
Hirano K, Ordonio RL, Matsuoka M (2017) Engineering the lodg-
ing resistance mechanism of post-green revolution rice to meet
future demands. Proceedings of the Japan academy. Ser B Phys
biol sci. 93: 220–233
Hyles J, Vautrin S, Pettolino F, MacMillan C, Stachurski Z, Breen J,
Berges H, Wicker T, Spielmeyer W (2017) Repeat-length vari-
ation in a wheat cellulose synthase-like gene is associated with
altered tiller number and stem cell wall composition. J Exp Bot
68:1519–1529
Keating BA, Herrero M, Carberry PS, Gardner J, Cole MB (2014) Food
wedges: framing the global food demand and supply challenge
towards 2050. Glob Food Sec 3:125–132
Kim D, Paggi JM, Park C, Bennett C, Salzberg SL (2019) Graph-based
genome alignment and genotyping with HISAT2 and HISAT-
genotype. Nat Biotechnol 37:907–915
Kinoshita T, Nishimura M, Hara-Nishimura I (1995) The sequence and
expression of the γ-VPE gene, one member of a family of three
genes for vacuolar processing enzymes in arabidopsis thaliana.
Plant Cell Physiol 36:1555–1562
Kirby EJM (2002) Botany of the wheat plant
Kong E, Liu D, Guo X, Yang W, Sun J, Li X, Zhan K, Cui D, Lin J,
Zhang A (2013) Anatomical and chemical characteristics associ-
ated with lodging resistance in wheat. Crop J 1:43–49
Krzywinski M, Schein J, Birol I, Connors J, Gascoyne R, Horsman D,
Jones SJ, Marra MA (2009) Circos: an information aesthetic for
comparative genomics. Genome Res 19:1639–1645
Li Z, Yue H, Xing D (2012) Map kinase 6-mediated activation of
vacuolar processing enzyme modulates heat shock-induced pro-
grammed cell death in arabidopsis. New Phytol 195:85–96
Li W-Q, Han M-M, Pang D-W, Jin C, WANG YY, DONG H-H,
CHANG Y-L, Min J, LUO Y-L, Yong L (2022) Characteris-
tics of lodging resistance of high-yield winter wheat as affected
by nitrogen rate and irrigation managements. J Integr Agric
21:1290–1309
Liu S, Yeh C-T, Tang HM, Nettleton D, Schnable PS (2012) Gene
mapping via bulked segregant RNA-seq (BSR-seq). PLoS ONE
7:e36406
Liu K, Deng Z, Zhang Y, Wang F, Liu T, Li Q, Shao W, Zhao B, Tian
J, Chen J (2017) Linkage analysis and genome-wide association
study of QTLs controlling stem-breaking-strength-related traits
in wheat. Acta Agron Sin 43:483–495
Livak KJ, Schmittgen TD (2001) Analysis of relative gene expression
data using real-time quantitative PCR and the 2−ΔΔCT method.
Methods 25:402–408
Lou X, Li X, Li A, Pu M, Shoaib M, Liu D, Sun J, Zhang A, Yang W
(2016) The 160 bp insertion in the promoter of Rht-B1i plays a
vital role in increasing wheat height. Front Plant Sci 7:307
Ludevid D, Hofte H, Himelblau E, Chrispeels MJ (1992) The expres-
sion pattern of the tonoplast intrinsic protein γ-TIP in arabidop-
sis thaliana is correlated with cell enlargement. Plant Physiol
100:1633–1639
Ma Q-H (2009) The expression of caffeic acid 3-O-methyltransferase
in two wheat genotypes differing in lodging resistance. J Exp
Bot 60:2763–2771
Mao H, Li S, Chen B, Jian C, Mei F, Zhang Y, Li F, Chen N, Li T, Du
L (2022) Variation in cis-regulation of a NAC transcription factor
contributes to drought tolerance in wheat. Mol Plant 15:276–292
Maurel C, Boursiac Y, Luu D-T, Santoni V, Shahzad Z, Verdoucq L
(2015) Aquaporins in plants. Physiol Rev 95:1321–1358
McKenna A, Hanna M, Banks E, Sivachenko A, Cibulskis K, Kerny-
tsky A, Garimella K, Altshuler D, Gabriel S, Daly M (2010)
The genome analysis toolkit: a mapreduce framework for ana-
lyzing next-generation DNA sequencing data. Genome Res
20:1297–1303
Meng L, Li H, Zhang L, Wang J (2015) QTL IciMapping: integrated
software for genetic linkage map construction and quantitative
trait locus mapping in biparental populations. Crop J 3:269–283
Monna L, Kitazawa N, Yoshino R, Suzuki J, Masuda H, Maehara Y,
Tanji M, Sato M, Nasu S, Minobe Y (2002) Positional cloning
of rice semidwarfing gene, sd-1: rice “green revolution gene”
encodes a mutant enzyme involved in gibberellin synthesis. DNA
Res 9:11–17
Monneveux P, Jing R, Misra SC (2012) Phenotyping for drought adap-
tation in wheat using physiological traits. Front Physiol 3:429
Nilsen KT, Walkowiak S, Xiang D, Gao P, Quilichini TD, Willick IR,
Byrns B, N’Diaye A, Ens J, Wiebe K et al (2020) Copy number
variation of TdDof controls solid-stemmed architecture in wheat.
Proc Natl Acad Sci USA 117:28708–28718
Nilsen KT, N'Diaye A, MacLachlan PR, Clarke JM, Ruan YF, Cuthbert
RD, Knox RE, Wiebe K, Cory AT, Walkowiak S, et al (2017)
High density mapping and haplotype analysis of the major stem-
solidness locus SSt1 in durum and common wheat. Plos One
12(4):e0175285.
Nilsen KT (2017) A study of solid-stem expression in durum and com-
mon wheat: University of Saskatchewan Graduate Theses and
Dissertations. https:// hdl. handle. net/ 10388/ 8360
Obara K, Kuriyama H, Fukuda H (2001) Direct evidence of active and
rapid nuclear degradation triggered by vacuole rupture during
programmed cell death in Zinnia. Plant Physiol 125:615–626
Oiestad AJ, Martin JM, Cook J, Varella AC, Giroux MJ (2017) Iden-
tification of candidate genes responsible for stem pith produc-
tion using expression analysis in solid‐stemmed wheat. Plant
Genome. 10: plantgenome2017.2002.0008
Overmyer K, Brosché M, Kangasjärvi J (2003) Reactive oxygen species
and hormonal control of cell death. Trends Plant Sci 8:335–342
Pan T, Hu W, Li D, Cheng X, Wu R, Cheng S (2017) Influence of stem
solidness on stem strength and stem solidness associated QTLs
in bread wheat. Acta Agron Sin 43:9–18
1 3138 Page 20 of 21
Theoretical and Applied Genetics (2023) 136:138
PAUWRead RDD (1982) The effect of nitrogen and phosphorus on the
expression of stem solidness in Canuck wheat at four locations in
southwestern Saskatchewan. Can J Plant Sci 62:593–598
Peng D, Chen X, Yin Y, Lu K, Yang W, Tang Y, Wang Z (2014)
Lodging resistance of winter wheat (triticum aestivum L.):
lignin accumulation and its related enzymes activities due to the
application of paclobutrazol or gibberellin acid. Field Crop Res
157:1–7
Pinera-Chavez FJ, Berry PM, Foulkes MJ, Jesson MA, Reynolds MP
(2016) Avoiding lodging in irrigated spring wheat. I. Stem and
root structural requirements. Field Crop Res 196:325–336
Piñera-Chavez FJ, Berry PM, Foulkes MJ, Sukumaran S, Reynolds MP
(2021) Identifying quantitative trait loci for lodging-associated
traits in the wheat doubled-haploid population Avalon×Cadenza.
Crop Sci 61:2371–2386
Pluta M, Kurasiak-Popowska D, Nawracała J, Bocianowski J,
Mikołajczyk S (2021) Estimation of stem-solidness and yield
components in selected spring wheat genotypes. Agronomy
11:1640
Rajaram S, Borlaug N, Van Ginkel M (2002) CIMMYT international
wheat breeding. Bread wheat improvement and production.
FAO. Rome. 103–117
Ren M, Zhang Y, Liu C, Liu Y, Tian S, Cheng H, Zhang H, Wei H,
Wei Z (2021) Characterization of a high hierarchical regulator,
ptrgata12, functioning in differentially regulating secondary
wall component biosynthesis in populus trichocarpa. Front
Plant Sci 12:726
Reynolds M, Bonnett D, Chapman SC, Furbank RT, Manès Y,
Mather DE, Parry MAJ (2010) Raising yield potential of
wheat. I. Overview of a consortium approach and breeding
strategies. J Exp Bot 62:439–452
Rojo E, Martın R, Carter C, Zouhar J, Pan S, Plotnikova J, Jin H,
Paneque M, Sánchez-Serrano JJ, Baker B (2004) VPEγ exhib-
its a caspase-like activity that contributes to defense against
pathogens. Curr Biol 14:1897–1906
Rustgi S, Boex-Fontvieille E, Reinbothe C, von Wettstein D,
Reinbothe S (2017) Serpin1 and WSCP differentially regu-
late the activity of the cysteine protease RD21 during plant
development in arabidopsis thaliana. Proc Natl Acad Sci
114:2212–2217
Ruuska SA, Rebetzke GJ, Van Herwaarden AF, Richards RA, Fettell
NA, Tabe L, Jenkins CL (2006) Genotypic variation in water-
soluble carbohydrate accumulation in wheat. Funct Plant Biol
33:799–809
Saint Pierre C, Trethowan R, Reynolds M (2010) Stem solidness
and its relationship to water-soluble carbohydrates: associa-
tion with wheat yield under water deficit. Funct Plant Biol
37:166–174
Scofield GN, Ruuska SA, Aoki N, Lewis DC, Tabe LM, Jenkins CL
(2009) Starch storage in the stems of wheat plants: localization
and temporal changes. Ann Bot 103:859–868
Sharma P, Jha AB, Dubey RS, Pessarakli M (2012) Reactive oxygen
species, oxidative damage, and antioxidative defense mecha-
nism in plants under stressful conditions. J Bot. https:// doi. org/
10. 1155/ 2012/ 217037
Shimada T, Yamada K, Kataoka M, Nakaune S, Koumoto Y, Kuroy-
anagi M, Tabata S, Kato T, Shinozaki K, Seki M (2003) Vacu-
olar processing enzymes are essential for proper processing
of seed storage proteins in arabidopsis thaliana. J Biol Chem
278:32292–32299
Sim N-L, Kumar P, Hu J, Henikoff S, Schneider G, Ng PC (2012)
SIFT web server: predicting effects of amino acid substitutions
on proteins. Nucleic Acids Res 40:W452–W457
Song P, Wang X, Wang X, Zhou F, Xu X, Wu B, Yao J, Lv D, Yang
M, Song X (2021) Application of 50K chip-based genetic map
to QTL mapping of stem-related traits in wheat. Crop Pasture
Sci 72:105–112
Steffens B, Sauter M (2009) Epidermal cell death in rice is confined
to cells with a distinct molecular identity and is mediated by
ethylene and H2O2 through an autoamplified signal pathway.
Plant Cell 21:184–196
Sueldo DJ, van der Hoorn RA (2017) Plant life needs cell death,
but does plant cell death need Cys proteases? FEBS J
284:1577–1585
Takagi H, Abe A, Yoshida K, Kosugi S, Natsume S, Mitsuoka C,
Uemura A, Utsushi H, Tamiru M, Takuno S (2013) QTL-
seq: rapid mapping of quantitative trait loci in rice by whole
genome resequencing of DNA from two bulked populations.
Plant J 74:174–183
Tamura K, Dudley J, Nei M, Kumar S (2007) MEGA4: molecular
evolutionary genetics analysis (MEGA) software version 4.0.
Mol Biol Evol 24:1596–1599
Tan C, Liu Z, Huang S, Feng H (2019) Mapping of the male sterile
mutant gene ftms in brassica rapa L. ssp. pekinensis via BSR-
seq combined with whole-genome resequencing. Theor Appl
Genet 132:355–370
Thorvaldsdóttir H, Robinson JT, Mesirov JP (2013) Integrative
genomics viewer (IGV): high-performance genomics data
visualization and exploration. Brief Bioinform 14:178–192
Trapnell C, Williams BA, Pertea G, Mortazavi A, Kwan G, Van
Baren MJ, Salzberg SL, Wold BJ, Pachter L (2010) Transcript
assembly and quantification by RNA-seq reveals unannotated
transcripts and isoform switching during cell differentiation.
Nat Biotechnol 28:511–515
Tu Y, Rochfort S, Liu Z, Ran Y, Griffith M, Badenhorst P, Louie GV,
Bowman ME, Smith KF, Noel JP (2010) Functional analyses of
caffeic acid O-methyltransferase and cinnamoyl-CoA-reductase
genes from perennial ryegrass (lolium perenne). Plant Cell
22:3357–3373
Verma V, Worland A, Savers E, Fish L, Caligari P, Snape J (2005)
Identification and characterization of quantitative trait loci
related to lodging resistance and associated traits in bread
wheat. Plant Breed 124:234–241
Wallace L, McNeal F, Berg M (1973) Minimum stem solidness
required in wheat for resistance to the wheat stem sawfly. J
Econ Entomol 66:1121–1124
Wang C, Deng P, Chen L, Wang X, Ma H, Hu W, Yao N, Feng Y,
Chai R, Yang G (2013) A wheat WRKY transcription factor
TaWRKY10 confers tolerance to multiple abiotic stresses in
transgenic tobacco. PLoS ONE 8:e65120
Wohlgemuth H, Mittelstrass K, Kschieschan S, Bender J, Weigel HJ,
Overmyer K, Kangasjärvi J, Sandermann H, Langebartels C
(2002) Activation of an oxidative burst is a general feature of
sensitive plants exposed to the air pollutant ozone. Plant Cell
Environ 25:717–726
Xie J, Guo G, Wang Y, Hu T, Wang L, Li J, Qiu D, Li Y, Wu Q,
Lu P (2020) A rare single nucleotide variant in Pm5e confers
powdery mildew resistance in common wheat. New Phytol
228:1011–1026
Xue T, Li X, Zhu W, Wu C, Yang G, Zheng C (2009) Cotton met-
allothionein GhMT3a, a reactive oxygen species scavenger,
increased tolerance against abiotic stress in transgenic tobacco
and yeast. J Exp Bot 60:339–349
Yu Q, Hu Y, Li J, Wu Q, Lin Z (2005) Sense and antisense expres-
sion of plasma membrane aquaporin BnPIP1 from brassica
napus in tobacco and its effects on plant drought resistance.
Plant Sci 169:647–656
Zadoks JC, Chang TT, Konzak CF (1974) A decimal code for the
growth stages of cereals. Weed Res 14:415–421
Zhan H, Wang Y, Zhang D, Du C, Zhang X, Liu X, Wang G, Zhang
S (2021) RNA-seq bulked segregant analysis combined with
1 3
Theoretical and Applied Genetics (2023) 136:138
Page 21 of 21 138
KASP genotyping rapidly identified PmCH7087 as responsi-
ble for powdery mildew resistance in wheat. Plant Genome
14:e20120
Zhang J, Dell B, Biddulph B, Drake-Brockman F, Walker E, Khan
N, Wong D, Hayden M, Appels R (2013) Wild-type alleles of
Rht-B1 and Rht-D1 as independent determinants of thousand-
grain weight and kernel number per spike in wheat. Mol Breed
32:771–783
Zhang D, Liu D, Lv X, Wang Y, Xun Z, Liu Z, Li F, Lu H (2014)
The cysteine protease CEP1, a key executor involved in tapetal
programmed cell death, regulates pollen development in arabi-
dopsis. Plant Cell 26:2939–2961
Zhao Y (2019) Genetic dissection of wheat nitrogen use efficiency
related traits: Murdoch University PhD thesis.https:// resea
rchpo rtal. murdo ch. edu. au/ esplo ro/
Zuber U, Winzeler H, Messmer M, Keller M, Keller B, Schmid J,
Stamp P (1999) Morphological traits associated with lodging
resistance of spring wheat (triticum aestivum L.). J Agron Crop
Sci 182:17–24
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Ergod. Th. & Dynam. Sys., (2023), 43, 729–793 © The Author(s), 2022. Published by Cambridge
University Press. This is an Open Access article, distributed under the terms of the Creative Commons
Attribution licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use,
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doi:10.1017/etds.2021.165
729
Thermodynamic metrics on outer space
TARIK AOUGAB†, MATT CLAY ‡ and YO’AV RIECK‡
† Department of Mathematics, Haverford College, 370 Lancaster Avenue,
Haverford, PA 19041, USA
(e-mail: taougab@haverford.edu)
‡ Department of Mathematics, University of Arkansas, Fayetteville, AR 72701, USA
(e-mail: mattclay@uark.edu, yoav@uark.edu)
(Received 27 January 2021 and accepted in revised form 29 November 2021)
Abstract. In this paper we consider two piecewise Riemannian metrics defined on the
Culler–Vogtmann outer space which we call the entropy metric and the pressure metric. As
a result of work of McMullen, these metrics can be seen as analogs of the Weil–Petersson
metric on the Teichmüller space of a closed surface. We show that while the geometric
analysis of these metrics is similar to that of the Weil–Petersson metric, from the
point of view of geometric group theory, these metrics behave very differently than the
Weil–Petersson metric. Specifically, we show that when the rank r is at least 4, the action
of Out(Fr ) on the completion of the Culler–Vogtmann outer space using the entropy metric
has a fixed point. A similar statement also holds for the pressure metric.
Key words: outer space, automorphisms of free groups, thermodynamic formalism,
Weill–Petersson metric
2020 Mathematics Subject Classification: 20F65 (Primary); 20E05, 57-XX (Secondary)
Contents
1
Introduction
1.1 Metrics on outer space
1.2 Thermodynamic metrics
Incompletion of the metric
1.3
1.4 The moduli space of the r-rose
1.5 A fixed point in the completion
1.6 Analogous statements for pressure metric
1.7 Further discussion and questions
2 Graphs and outer space
2.1 Graphs
2.2 Outer space
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Thermodynamic metrics
3.1 Entropy
3.2 Pressure
3.3 Thermodynamic metrics
4 A determinant-defining equation for M1(G)
5
6
7
8
9
4.1 Determinant equation
4.2 A simplification
The topology induced by the entropy metric
The entropy metric on X1(F2)
6.1 The 2-rose
6.2 The barbell graph
6.3 The theta graph
6.4 (X1(F2), dh) is complete
The moduli space of the rose
7.1 M1(Rr ) as a zero locus
7.2 Finite-length paths in M1(Rr ) for r ≥ 3
7.3 The diameter of M1(Rr ) is infinite
Proof of Theorem 1.1
The completion of (M1(Rr ), dh,Rr )
9.1 The model space (cid:2)M1
9.2 Proof of Theorem 1.2
9.3 The thin part of M1(Rr )
(Rr )
10 The moduli space of a graph with a separating edge
10.1 Finite-length paths in M1(G)
10.2 The model space (cid:2)M1
(G)
11 X1(Rr , id) has bounded diameter in X1(Fr )
12 Proof of Theorem 1.3
Acknowledgements
References
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Introduction
1.
The purpose of this paper is to introduce and examine two piecewise Riemannian metrics,
called the entropy metric and the pressure metric, on the Culler–Vogtmann outer space
CV (Fr ). The Culler–Vogtmann outer space is the moduli space of unit-volume marked
metric graphs and as such it is often viewed as the analog of the Teichmüller space
of an orientable surface Sg. Both the Culler–Vogtmann outer space and the Teichmüller
space admit a natural properly discontinuous action by a group. For the Culler–Vogtmann
outer space, the group is the outer automorphism group of a free group Out(Fr ) =
Aut(Fr )/ Inn(Fr ). For the Teichmüller space, the group is the mapping class group of
the surface MCG(Sg) = π0(Homeo+(Sg)). Strengthening the connection between these
spaces and groups are the facts that (i) Out(Fr ) is isomorphic to the group of homotopy
equivalences of a graph whose fundamental group is isomorphic to Fr , that is, Out(Fr )
can be thought of as the mapping class group of a graph, and (ii) the Dehn–Nielsen–Baer
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Thermodynamic metrics on outer space
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theorem which states that the extended mapping class group MCG±(Sg) (which also
includes isotopy classes of orientation-reversing homeomorphisms) is isomorphic to
Out(π1(Sg)) [17]. This analogy has led to much fruitful research on the outer automor-
phism group of a free group Out(Fr ).
The metrics on the Culler–Vogtmann outer space we consider in this paper are analogs
to the classical Weil–Petersson metric on the Teichmüller space of an orientable surface.
The Weil–Petersson metric has been studied extensively from the point of view of both
geometric analysis and geometric group theory. On the one hand, it enjoys many important
analytic properties which can be expressed naturally in terms of hyperbolic geometry on
Sg. Its utility in geometric group theory then stems from the fact that every isometry of the
Weil–Petersson metric is induced by a mapping class [25]. Thus, the action of MCG(Sg)
on the Teichmüller space equipped with the Weil–Petersson metric encodes information
about useful invariants for mapping classes.
As the piecewise Riemannian metrics on the Culler–Vogtmann outer space that we
study in this paper are motivated by the classical Weil–Petersson metric on the Teichmüller
space of a closed surface, it is natural to ask to what extent they are true analogs of the
Weil–Petersson metric. A major takeaway from the work in this paper is that they should
be seen as natural analogs from the geometric analysis point of view, but not from the
geometric group theory perspective. Specifically, while we highlight some similarities
between these metrics and the Weil–Petersson metric as seen from the analytic point of
view (Theorems 1.1 and 1.2) the main result (Theorem 1.3) of this paper shows that from
the geometric group-theoretic perspective, these metrics are not useful (except possibly
when r = 3). The content of this theorem is summarized as follows: the action of Out(Fr )
on the metric completion of the Culler–Vogtmann outer space has a fixed point for r ≥ 4.
The remainder of this introduction discusses these metrics more thoroughly and provides
context for the main results.
1.1. Metrics on outer space. The topology of CV (Fr ) has been well studied; see, for
instance, the survey papers of Bestvina [5] and Vogtmann [35]. The metric theory of
CV (Fr ) has been steadily developing over the past decade. What is desired is a theory that
reflects the dynamical properties of the natural action by Out(Fr ), that further elucidates
the connection between Out(Fr ) and MCG(S), and that leads to useful new discoveries.
The metric that has received the most attention to date is the Lipschitz metric. Points in
the Culler–Vogtmann outer space are represented by triples (G, ρ, (cid:4)) where G is a finite
connected graph, ρ : Rr → G is a homotopy equivalence where Rr is the r-rose, and (cid:4)
is a function from the edges of G to (0, ∞) for which the sum of (cid:4)(e) over all edges of
G is equal to 1. (See §2.2 for complete details.) We think of the function (cid:4) as specifying
the length of each edge and as such (cid:4) determines a metric on G where the interior of each
edge e is locally isometric to the interval (0, (cid:4)(e)). The Lipschitz distance between two
unit-volume marked metric graphs (G1, ρ1, (cid:4)1) and (G2, ρ2, (cid:4)2) in CV (Fr ) is defined by
dLip((G1, ρ1, (cid:4)1), (G2, ρ2, (cid:4)2)) = log inf{Lip(f ) | f : G1 → G2, ρ2 (cid:5) f ◦ ρ1},
(1.1)
where Lip(f ) is the Lipschitz constant of the function f : G1 → G2 using the metrics
induced by (cid:4)1 and (cid:4)2. respectively. In general the function dLip is not symmetric. As such,
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dLip((cid:2), (cid:2)) is not a true metric, but an asymmetric metric. See [1, 2, 20] for more on the
asymmetric aspects of the Lipschitz metric.
Regardless, the Lipschitz metric has been essential in several recent developments for
Out(Fr ). This is in part due to the fact that the Lipschitz metric connects the dynamical
properties of an outer automorphism of Fr acting on CV (Fr ) to its action on conjugacy
classes—of elements and of free factors—in Fr . Notable are the ‘Bers-like proof’ of the
existence of train-tracks by Bestvina [6], the proof of hyperbolicity of the free factor
complex by Bestvina and Feighn [8], and the proof of hyperbolicity of certain free group
extensions by Dowdall and Taylor [18].
In this way, the Lipschitz metric is akin to the Teichmüller metric on Teichmüller space
which was used to prove the corresponding statements for the mapping class group [4, 19,
26]. One can also define the Lipschitz metric on Teichmüller space using the same idea
as in (1.1), and in this setting it is oftentimes called Thurston’s asymmetric metric [34].
This metric has seen renewed attention lately, in part due to the usefulness of the Lipschitz
metric on CV (Fr ).
As a result of McMullen’s interpretation of the Weil–Petersson metric on Teichmüller
space via tools from the thermodynamic formalism applied to the geodesic flow on
the hyperbolic surface [27, Theorem 1.12], there exists a natural candidate for the
Weil–Petersson metric on the Culler–Vogtmann outer space. This idea was originally
pursued by Pollicott and Sharp [31].
1.2. Thermodynamic metrics. The metrics we consider in this paper arise from the tools
of the thermodynamic formalism as developed by Bowen [9], Parry and Pollicott [29],
Ruelle [32] and others. The central objects involved are the notions of entropy and pressure.
For a graph G, these notions define functions
h
(1.2)
G : Rn → R
G : M(G) → R and P
where n is the number of (geometric) edges in G and M(G) = Rn
>0—this space
parametrizes the length functions on G. The entropy and pressure functions are real
analytic, strictly convex and are related by h
G(−(cid:4)) = 0 (see
Theorem 3.7). As these functions are smooth and strictly convex, their Hessians induce an
inner product on the tangent space of the unit-entropy subspace M1(G) = {(cid:4) ∈ M(G) |
G((cid:4)) = 1} at a length function (see Definition 3.10). Hence the notions of entropy and
h
pressure induce Riemannian metrics on M1(G) which we call the entropy metric and
pressure metric, respectively. By dh,G and dP,G we denote the induced distance functions
on M1(G). We caution the reader that these metrics have been considered by others with
conflicting terminology. Throughout this introduction, we will use the above terminology
even when referencing the work of others. See Remark 3.11 for a further discussion.
G((cid:4)) = 1 if and only if P
Pollicott and Sharp initiated the study of the thermodynamic metrics when they first
defined the pressure metric on M1(G) [31]. They proved that the pressure metric is not
complete for the 2-rose R2 and they derived formulas for the sectional curvature for the
theta graph (cid:5)2 and barbell graph B2 (see Figure 2 for these graphs). Additionally, Pollicott
and Sharp produce a dynamical characterization of the entropy metric in terms of generic
geodesics similar to Wolpert’s result for the Weil–Petersson metric [37] (see Remark
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Thermodynamic metrics on outer space
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3.11). Kao furthered these results by showing that the pressure metric is incomplete for
(cid:5)2, B2 and the 3-rose R3, and by showing that the entropy metric is complete for R2
[22]. Additionally, he derives formulas for the sectional curvature with respect to both the
entropy and the pressure metric for (cid:5)2, B2 and R3. Xu shows that for certain graphs, the
moduli space M1(G) equipped with the entropy metric arises in the completion of the
Teichmüller space of a surface with boundary using the pressure metric [39].
In this paper we will investigate the entropy metric not only on the moduli space of a
single graph, but on the full moduli space of all marked graphs. Let X(Fr ) be the space
of marked metric graphs so that contained in X(Fr ) is the Culler–Vogtmann outer space
CV (Fr ). The notion of entropy extends to X(Fr ) by h([(G, ρ, (cid:4))]) = h
G((cid:4)) and we set
X1(Fr ) = {[(G, ρ, (cid:4))] ∈ X(Fr ) | h([(G, ρ, (cid:4))]) = 1}.
(1.3)
There is a homeomorphism between CV (Fr ) and X1(Fr ) defined by scaling the length
function (see §3.1). Fixing a graph G and a marking ρ : Rr → G, the map M1(G) →
X1(Fr ) that sends a length function (cid:4) in M1(G) to the point determined by (G, ρ, (cid:4)) in
X1(Fr ) is an embedding whose image we denote by X1(G, ρ). Considering all marked
graphs individually, this induces a piecewise Riemannian metric on X1(Fr ). See §3.3 for
complete details. We denote the induced distance function on X1(Fr ) by dh.
For a closed orientable surface Sg, one can repeat the above discussion using the
moduli space of marked Riemannian metrics with constant curvature X(Sg). In this case,
the entropy and the area of the Riemann surface are directly related. In particular, the
unit-entropy, constant-curvature metrics correspond to the hyperbolic metrics, that is, those
with constant curvature equal to −1, and hence to those with area equal to 2π(2g − 2). In
other words, the entropy and area normalizations on X(Sg) result in the same subspace,
the Teichmüller space of the surface. McMullen proved that the ensuing entropy metric on
the Teichmüller space is proportional to the Weil–Petersson metric [27, Theorem 1.12].
It is this connection between the entropy metric and the Weil–Petersson metric that
drives the research in this paper. After introducing the framework for both the entropy and
the pressure metrics in §3, we specialize the discussion to the entropy metric because of
this connection to the Weil–Petersson metric. All of the main results of this paper have
analogous statements for the pressure metric and the proofs are similar, and in most cases
substantially easier. The statements for the pressure metric are given in §1.6.
It is not necessary for this paper, but we mention that building on work of McMullen,
Bridgeman [10] and Bridgeman et al [11] used these same ideas to define a metric on the
space of conjugacy classes of regular irreducible representations of a hyperbolic group into
a special linear group.
In the next three subsections, we explain our main results on the entropy metric on
X1(Fr ) and their relation to the Weil–Petersson metric on Teichmüller space.
Incompletion of the metric. Our first main result concerns the completion of the
1.3.
entropy metric on X1(Fr ). Wolpert showed that the Weil–Petersson metric on Teichmüller
space is not complete [36]. Our first theorem shows that when r ≥ 3, the same holds for
the entropy metric on X1(Fr ).
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T. Aougab et al
THEOREM 1.1. The metric space (X1(Fr ), dh) is complete if r = 2 and incomplete if
r ≥ 3.
For r ≥ 3, this theorem is proved by exhibiting a finite-length path in M1(Rr ) that
exits every compact subset. This path is defined by sending the length of one edge in
Rr to infinity, while shrinking the others to maintain unit entropy (Proposition 7.8). This
strategy—also used by Pollicott and Sharp [31] and Kao [22]—shows that (M1(Rr ), dh,Rr )
is incomplete. We further show in §8 that this path also exits every compact set in X1(Fr ).
As dh,Rr is an upper bound to dh (when defined), this path still has finite length when
considered in X1(Fr ) and thus Theorem 1.1 follows.
The path described above illustrates a general method for producing paths that exit
every compact subset and that have finite length in the entropy metric: deform the metric
by sending the length of some collection of edges to infinity while shrinking the others to
maintain unit entropy. So long as the complement of the collection supports a unit-entropy
metric, this path will have finite length. This explains why (X1(F2), dh) is complete: any
metric on a graph where every component has rank at most 1 has entropy equal to zero. In
§6 we demonstrate the calculations required to prove that (X1(F2), dh) is complete.
This is completely analogous to the setting of the Weil–Petersson metric on Teichmüller
space. In that setting, deforming a hyperbolic metric on Sg by pinching a simple closed
curve results in a path with finite length that exits every compact set. Moreover, the
geometric analysis agrees. For the path in M1(Rr ) described above, if we parametrize
the long edge by − log(t) as t → 0, then the entropy norm along this path is O(t −1/2), as
shown in Proposition 7.8. For the path in the Teichmüller space of Sg, if we parametrize the
curve which is being pinched by t as t → 0, then the Weil–Petersson norm along this path
is O(t −1/2) [38, §7]. Note that in this case, the length of the shortest curve that intersects
the pinched one has length approximately − log(t).
1.4. The moduli space of the r-rose. Our second main result is concerned with the
entropy metric on the moduli space of the r-rose Rr .
THEOREM 1.2. The completion of (M1(Rr ), dh,Rr ) is homeomorphic to the complement
of the vertices of an (r − 1)-simplex.
The space M1(Rr ) is homeomorphic to the interior of an (r − 1)-simplex. The faces
added in the completion for dh,Rr correspond to unit-entropy metrics on subroses. Such
a metric is obtained as the limit of a sequence of length functions on Rr by sending the
length of a collection of edges to infinity and scaling the others to maintain unit entropy.
Specifically, a (k − 1)-dimensional face of the completion corresponds to the moduli
space of unit-entropy metrics on a sub-k-rose. As before, intuitively, the vertices of the
(r − 1)-simplex are missing in the completion as there does not exist a unit-entropy metric
on R1.
That unit-entropy metrics on subroses arise as points in the completion follows from the
calculations provided for the proof of incompleteness in Theorem 1.1 and some continuity
arguments. This is shown in §9.1. The difficult part of the proof of Theorem 1.2 is showing
that any path in (M1(Rr ), dh,Rr ) that sends the length of one edge to 0 (and hence the
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Thermodynamic metrics on outer space
735
lengths of the other edges to infinity) necessarily has infinite length. This argument appears
in Lemma 7.10 and Proposition 7.14. In §9.2 we combine these two facts to complete the
proof of Theorem 1.2.
In Example 9.7 we compare the completion of (M1(R3), dh,R3) to the closure of the
unit-volume metrics on R3 in the axes topology on CV (F3) (see §2.2 for definitions). By
Theorem 1.2, the completion in the entropy metric is a 2-simplex without vertices, whereas
the closure in the axes topology is a 2-simplex. More interestingly, the newly added edges
and vertices are dual: edges in the entropy completion correspond to vertices in the axes
closure and the missing vertices in the entropy completion correspond to the edges in the
axes closure. This is explained in detail in Example 9.7 and illustrated in Figure 6.
While it is not necessary for Theorem 1.2, we mention that in §9.3 we prove that
the diameter of a cross-section of the (r − 1)-simplex goes to 0 as the length of one of
the edges goes to 0, that is, as the cross-section moves out toward one of the missing
vertices. In other words, the completion of (M1(Rr ), dh,Rr ) is geometrically akin to an
ideal hyperbolic (r − 1)-simplex; see Lemma 9.9.
1.5. A fixed point in the completion. Whereas the first two main results demonstrate the
similarity between the geometric analysis for the Weil–Petersson metric on the Teichmüller
space and the entropy metric on the Culler–Vogtmann outer space, our final main result
provides a stark contrast between these two metrics with respect to geometric group theory.
THEOREM 1.3. The subspace (X1(Rr , id) · Out(Fr ), dh) ⊂ (X1(Fr ), dh) is bounded if
r ≥ 4. Moreover, the action of Out(Fr ) on the completion of (X1(Fr ), dh) has a fixed
point.
This subspace consists of the unit-entropy metrics on every marked r-rose. To illustrate
the difference with respect to the setting of the Weil–Petersson metric on Teichmüller
space, we mention the fact due to Daskalopoulos and Wentworth that pseudo-Anosov
mapping classes have positive translation length in their action on the Teichmüller space
[16]. In particular, the action of the mapping class group does not have a fixed point in the
completion of Teichmüller space with the Weil–Petersson metric.
The first step in the proof of Theorem 1.3 is to show that the image of the inclusion
map M1(Rr ) → X1(Rr , id) ⊂ X1(Fr ) has bounded diameter for r ≥ 4. This result is
particularly striking in contrast to Theorem 1.2, since implicit in that theorem is that
the space (M1(Rr ), dh,Rr ) has infinite diameter. Boundedness of the image of M1(Rr )
is achieved by showing that the map induced via Theorem 1.2, (cid:6) : (cid:7)r−1 − V → (cid:3)X1
(Fr ),
extends to (cid:7)r−1, where (cid:7)r−1 is an (r − 1)-simplex, V ⊂ (cid:7)r−1 is the set of vertices, and
(cid:3)X1
(Fr ) is the completion of X1(Fr ) for dh. The existence of this extension shows that
X1(Rr , id) lies in a compact set and hence is bounded.
In order to show that (cid:6) : (cid:7)r−1 − V → (cid:3)X1
(Fr ) extends to the set V, we show that (cid:6)
maps every (k − 1)-dimensional face of (cid:7)r−1 − V to a single point when 1 < k < r − 1.
This is shown in §11. This fact, together with the previously mentioned fact about the
diameter of the cross-sections going to 0, gives that (cid:6) extends to the set V and that the
entire (r − 3)-skeleton of (cid:7)r−1 is mapped to a single point in (cid:3)X1
(Fr ). The collapse of a
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G2,2 =
a
b
c
d
a
c
d
a, b constant
c, d → ∞ linearly
b
unit entropy
a, b constant
c, d → ∞ linearly
a
b
c
d
M1(R2)
a
b
a
b
b, c, d constant
a grows linearly
a
b
c
d
a, c, d constant
b grows linearly
FIGURE 1. Illustration of a path with length 0 in the completion of (M1(G2,2), dh,G2,2 ).
(k − 1)-dimensional face of (cid:7)r−1 − V for 1 < k < r − 1 arises from paths in X1(Fr )
connecting points in X1(Rr , id) whose length is much shorter than paths in M1(Rr )
connecting the same points. In other words, there are shortcuts present in X1(Fr ) that
are not present in M1(Rr ).
These shortcuts are most easily understood in terms of unit-entropy metrics on marked
subgraphs, that is, points in the completion of (X1(Fr ), dh). Pathologies arise when the
subgraph is not connected. In this case, the entropy of the metric on the subgraph is the
maximum of the entropy—in the previous sense—on a component of the subgraph. Hence,
by holding the length function constant on a component of the subgraph with unit entropy,
we are free to modify the length function on the other components at will, so long as the
entropy is never greater than 1 on any of these components. In Proposition 3.12 we show
that the entropy and pressure metrics can be computed using the second derivatives of the
lengths of edges along a path. Hence the length of a path that changes the length of the
edges in a component with entropy less than 1 linearly has zero length in either of these
metrics.
Figure 1 illustrates the central idea that is exploited in §10 to show that many paths have
zero length. This figure is taking place in the completion of M1(G2,2) using the metric
dh,G2,2. This space has M1(R4) as a face in X1(F4) corresponding to the collapse of the
separating edge. The completion of M1(R4) has an edge corresponding to unit-entropy
metrics on two of the edges (denoted a and b in Figure 1). This edge also corresponds to a
subset in the completion of M1(G2,2). Illustrated in Figure 1 is a path through unit-entropy
length functions on subgraphs of G2,2, that is, points in the completion. As all edge
lengths are changing linearly, this path has length 0 and hence all of these length functions
correspond to the same point in the completion.
This shows that the edge corresponding to M1(R2) is mapped by (cid:6) to a point. The same
idea works for any sub-k-rose of Rr so long as 1 < k < r − 1: it is necessary to separate
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Thermodynamic metrics on outer space
737
two subroses, each of which supports a unit-entropy metric. This is the reason why we
require r ≥ 4 in Theorem 1.3.
Once we know that the entire (r − 3)-skeleton of (cid:7)r−1 is mapped by (cid:6) to a point in
(cid:3)X1
(Fr ), we utilize the structure of the Culler–Vogtmann outer space to conclude in §12
that this point is independent of the marking ρ : Rr → Rr used to define the inclusion
M1(Rr ) → X1(Fr ). This completes the proof of Theorem 1.3.
1.6. Analogous statements for pressure metric. For the pressure metric on X1(Fr ) we
have the following analogs of Theorems 1.1–1.3. By dP we denote the induced distance
function.
(1) The space (X1(Fr ), dP) is incomplete for r ≥ 2.
(2) The completion of (M1(Rr ), dP,Rr ) is homeomorphic to an (r − 1)-simplex.
(3) The space (X1(Fr ), dP) is bounded if r ≥ 2; moreover, the action of Out(Fr ) on the
completion of (X1(Fr ), dP) has a fixed point.
These can be shown using techniques similar—and simpler—to those in this paper. The
key source of the distinction between the entropy and pressure metrics is that the length
function that assigns 0 to the unique edge on R1 has pressure equal to 0 even through the
entropy is not defined. Hence the path in M1(R2) that sends the length of one edge to
infinity while shrinking the length of the other (necessarily to 0) to maintain unit entropy
has finite length in the pressure metric, whereas the length in the entropy metric is infinite.
1.7. Further discussion and questions. This work raises a number of questions.
Our proof that the action of Out(Fr ) on the completion of (X1(Fr ), dh) has a fixed
point relies heavily on the assumption that r ≥ 4: the key construction uses an edge that
separates a given graph into two subgraphs, each with rank at least 2. This leaves the door
open to a negative answer for the following question, which would allow for interesting
applications specifically for F3.
Question 1.4. Does (X1(F3), dh) admit an Out(F3)-invariant bounded subcomplex?
Theorem 1.3 demonstrates the existence of an Out(Fr ) orbit in (X1(Fr ), dh) with
bounded diameter but we do not yet know that the entire space has bounded diameter.
We therefore ask the following question.
Question 1.5. Is (X1(Fr ), dh) bounded for r ≥ 4?
We believe the answer to this question is yes. Indeed, the only way (X1(Fr ), dh) could
fail to be bounded is if the subspace (X1(G, ρ), dh) has infinite diameter for some marked
graph ρ : Rr → G. As the diameter of (X1(Rr , id) · Out(Fr ), dh) is bounded, to answer
the question in the affirmative, it would suffice to find a bound (in terms of r) on the
distance from any point X1(Fr ) to a point in X1(Rr , id) · φ for some φ ∈ Out(Fr ). Another
approach to answer Question 1.5 in the affirmative would be to show the existence of
a bound (in terms of r) on distance from any point in X1(G, ρ) to a completion point
represented by a unit-entropy metric on a proper subgraph (with the goal of getting to
a point in the completion of a marked rose via induction). This led us to the following
question, which is of independent interest and we pose here as a conjecture.
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738
T. Aougab et al
Conjecture 1.6. For any r ≥ 3 there exists C > 0 so that any metric graph of rank r with
unit entropy contains a proper subgraph with entropy at least C.
It suffices to show the conjecture for a fixed topological type of graph since, for a given
rank r, there are only finitely many topological types of graph of rank r.
One can also define the notion of the entropy metric on the Teichmüller space of a
surface with boundary. In [39], Xu shows that this metric is incomplete. As mentioned
previously, McMullen proved that for closed surfaces, the entropy metric is a constant
multiple of the Weil–Petersson metric. However, by partially characterizing the completion
of the entropy metric in the bordered setting, Xu is able to show that this is not true in the
presence of boundary. Concretely, Xu identifies certain graphs G so that, in the notation of
this paper, (M1(G), dh) isometrically embeds in the completion of the Teichmüller space
of the surface equipped with the entropy metric. We therefore ask if the work in this paper
can be used to fully understand the completion of the Teichmüller space of a bordered
surface equipped with the entropy metric.
Problem 1.7. Fully characterize the completion of (M1(G), dh,G) for an arbitrary graph
G and use this to study the completion of the Teichmüller space of a bordered surface,
equipped with the entropy metric.
The pathology exhibited by Theorem 1.3 relies on the existence of a sequence of
unit-entropy length functions whose limiting metric is supported on a subgraph with
multiple components where the metric on some component need not have entropy equal
to 1. This behavior does not occur in the Teichmüller space of a closed surface since a
unit-entropy metric on a constant-curvature surface is a hyperbolic metric and vice versa,
and thus for the subsurface supporting the limit of a sequence of unit-entropy metrics,
the metric on each component also has entropy equal to 1. One can also consider an
entropy function defined over the moduli space of singular flat metrics on a closed surface.
This setting appears more similar to the situation of Theorem 1.3 in that the unit-entropy
condition is not encoded by the local geometry. It appears likely that some version of
Theorem 1.3 holds for singular flat metrics, and so we therefore ask our final question of
this introduction.
Question 1.8. Can the techniques used in this paper in the setting of metric graphs apply
to the study of an entropy metric on the moduli space of singular flat metrics on a closed
surface?
2. Graphs and outer space
In this section we introduce some concepts that are necessary for the sequel. First, we
set some notation for dealing with graphs. Then we define the Culler–Vogtmann outer
space—including its topology—and the Out(Fr ) action on this space.
2.1. Graphs. We use Serre’s convention for graphs [33]. That is, an (undirected) graph
is a tuple G = (V , E, o, τ , ¯) where:
(1) V and E are sets, called the vertices and the directed edges (we think of E as
containing two copies, with opposite orientations, of each undirected edge);
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Thermodynamic metrics on outer space
739
(2)
o, τ : E → V are functions that specify the originating and terminating vertices of
an edge;
¯ : E → E is a fixed point free involution such that o(e) = τ ( ¯e) (¯ flips edges).
(3)
We fix an orientation on G, that is, a subset E+ ⊂ E that contains exactly one edge from
each pair {e, ¯e}. Since we consider the pair {e, ¯e} to be a single edge, the number of edges
of G is |E+| = |E|/2. The valance of a vertex v is the number of edges from e ∈ E+
with o(e) = v plus the number of edges from e ∈ E+ with τ (e) = v (an edge e for which
o(e) = τ (e) = v contributes 2 to the valance). Oftentimes when defining a graph we only
specify the edges in E+ (together with the restrictions of o and τ to E+). The complete set
of edges is then defined as E = E+ ∪ E+, where E+ is a copy of E+, and o, τ , and ¯ are
defined in the obvious way. We blur the distinction between the tuple (V , E, o, τ , ¯) and
the corresponding one-dimensional CW-complex with 0-cells V and 1-cells E+.
The space of length functions on G is the open convex cone
M(G) = {(cid:4) : E+ → R>0}.
(2.1)
We consider this set as a subset of R|E+|. A length function (cid:4) : E+ → R>0 extends to a
function (cid:4) : E → R>0 by (cid:4)(e) = (cid:4)( ¯e) if e /∈ E+. By 1 ∈ M(G) we denote the constant
function with value 1.
An edge path is a sequence of edges (e1, . . . , en) in E such that τ (ei) = o(ei+1) for
i = 1, . . . , n − 1. A function f : E → R (in particular, a length function) extends to a
function on edge paths γ = (e1, . . . , en) by
f (γ ) =
n(cid:4)
i=1
f (ei).
(2.2)
2.2. Outer space. We will introduce some definitions and notation for the Culler–
Vogtmann outer space. This space was originally defined by Culler and Vogtmann [14].
For more information, see for example the survey papers by Vogtmann [35] or Bestvina [5].
Let Rr be the r-rose. That is, Rr the graph with a unique vertex v and r edges. Fix
∼= π1(Rr , v). A marked metric graph (of rank r) is a triple (G, ρ, (cid:4))
an isomorphism Fr
where:
(1) G is a finite connected graph without vertices of valence 1 or 2;
(2)
(3)
There is an equivalence relation on the set of marked metric graphs defined by
(G1, ρ1, (cid:4)1) ∼ (G2, ρ2, (cid:4)2) if there exists a graph automorphism α : G1 → G2 such
that (cid:4)1 = (cid:4)2 ◦ α and such that the following diagram commutes up to homotopy:
ρ : Rr → G is a homotopy equivalence; and
(cid:4) is a length function on G.
Rr
ρ1
(cid:3)(cid:2)(cid:2)(cid:2)(cid:2)(cid:2)(cid:2)
(cid:4)(cid:3)(cid:3)(cid:3)(cid:3)(cid:3)(cid:3)
ρ2
G1
α
G2
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(cid:2)
(cid:2)
(cid:3)
(cid:4)
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We let X(Fr ) denote the set of equivalence classes of marked metric graphs of
rank r. The group Out(Fr ) acts on X(Fr ) on the right by precomposing the marking.
Specifically, for any outer automorphism φ ∈ Out(Fr ), there is a homotopy equivalence
∼=
gφ : Rr → Rr that induces φ on π1(Rr ) via the aforementioned fixed isomorphism Fr
π1(Rr , ∗). Moreover, this homotopy equivalence is unique up to homotopy. With this, we
define
(G, ρ, (cid:4)) · φ = (G, ρ ◦ gφ, (cid:4)).
(2.3)
This action respects the equivalence relation on marked metric graphs and so defines an
action on X(Fr ) as claimed.
Let Gr denote the set of finite connected graphs without vertices of valence 1 or 2 whose
fundamental group has rank r. We observe that this is a finite set. Given a graph G ∈ Gr
and homotopy equivalence ρ : Rr → G, we set
X(G, ρ) = {[(G0, ρ0, (cid:4)0)] ∈ X(Fr ) | G0 = G and ρ0 (cid:5) ρ}.
There is a bijection X(G, ρ) → M(G) defined by [(G0, ρ0, (cid:4)0)] (cid:12)→ (cid:4)0. These sets
partition the set X(Fr ) and are permuted under the action by Out(Fr ). Specifically, for
each G ∈ Gr we fix a marking ρG : Rr → G. Then
(cid:5)
(cid:5)
X(Fr ) =
X(G, ρG) · φ.
G∈Gr
φ∈Out(Fr )
There is a topology on X(Fr ) that is often defined in three different ways. We will need
to use the first two and for completeness we explain all three here.
The weak topology. The notion of a collapse induces a partial order on the set of marked
graphs. Specifically, for two graphs G and G0, we say that G collapses to G0 if there is
a surjection c : G → G0 such that the image of any edge in G is either a vertex or an
edge of G0 and such that c−1(x) is a contractible subgraph of G for each point x of G0.
The map c is a called a collapse. Observe that if the map c : G → G0 is a collapse,
then a length function (cid:4) ∈ M(G0) can be considered as a degenerate length function (cid:4)G0
on G by
(cid:6)
(cid:4)G0(e) =
(cid:4)(c(e))
0
if c(e) is an edge in G0,
otherwise.
(2.4)
This defines a map c∗ : M(G0) → R|E+|
subset of R|E+|
≥0 :
≥0 by c∗((cid:4)) = (cid:4)G0. We now define the following
M(G) =
(cid:5)
c : G→G0
∗
c
(M(G0)).
(2.5)
We note the M(G) is a subset of M(G) as the identity map id : G → G is a collapse.
Next, given two marked graphs ρ : Rr → G and ρ0 : Rr → G0, we say that (G, ρ)
collapses to (G0, ρ0) if there is a collapse c : G → G0 such that ρ0 (cid:5) c ◦ ρ. In this case
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Thermodynamic metrics on outer space
we write (G0, ρ0) ≤ (G,ρ). We now define the following subset of X(Fr ):
(cid:5)
X(G, ρ) =
X(G0, ρ0).
741
(2.6)
(G0,ρ0)≤(G,ρ)
The bijection X(G, ρ) → M(G) extends in a natural way to a bijection X(G, ρ) → M(G)
and allows us to consider X(G, ρ) as a subset of R|E+|
≥0 .
The weak topology is defined using this collection of subsets. Specifically, a set U ⊆
X(Fr ) is open if U ∩ X(G, ρ) is open as a subset of R|E+|
≥0
The axes topology. Given a marked metric graph (G, ρ, (cid:4)) and an element g ∈ Fr , we
denoted by (cid:4)([g]) the (cid:4)-length of the shortest loop in G representing the conjugacy class
[ρ(g)]. This induces a function Len : X(Fr ) → RFr
≥0 where Len([(G, ρ, (cid:4))]) : Fr → R≥0
is the function defined by
for all marked graphs (G, ρ).
Len([(G, ρ, (cid:4))])(g) = (cid:4)([g]).
Culler and Morgan proved that the map Len is injective [13, 3.7 Theorem]. The resulting
subspace topology on Len(X(Fr )) ⊂ RFr
≥0 is called the axes topology. It is known that this
topology agrees with the weak topology. (See [14, §1.1] or [21, Proposition 5.4].)
The equivariant Gromov–Hausdorff topology. We will not need this definition, and we only
remark that Paulin showed that it is equivalent to the axes topology [30, Main Theorem].
There is an action of R>0 on X(Fr ) given by scaling the length function. Specifically,
a · (G, ρ, (cid:4)) = (G, ρ, a · (cid:4)). The quotient of X(Fr ) is denoted PX(Fr ).
There are many continuous sections of the quotient map X(Fr ) → PX(Fr ). An often
used choice uses the notion of the volume of a length function, vol((cid:4)), that we define now.
For a length function (cid:4) ∈ M(G), we define the volume of (cid:4) by vol((cid:4)) =
e∈E+ (cid:4)(e).
There is a section V : PX(Fr ) → X(Fr ) defined by
(cid:7)
V([[(G, ρ, (cid:4))]]) =
G, ρ,
(cid:8)(cid:9)
(cid:10)(cid:11)
.
1
vol((cid:4))
(cid:4)
We denote the image of this section by CV (Fr ); it is known as the Culler–Vogtmann
outer space. Further, given a marked graph ρ : Rr → G, we set CV (G, ρ) = X(G, ρ) ∩
CV (Fr ). This set is homeomorphic to an open simplex of dimension |E+| − 1.
Example 2.1. There are three graphs in G2: the 2-rose R2, the theta graph (cid:5)2 and the
barbell graph B2; see Figure 2. Figure 3 shows a portion of CV (F2) and how these
simplices piece together. The homotopy equivalences used for Figure 3 are as follows:
ρ(cid:5) : R2 → (cid:5)2 : e1 (cid:12)→ e1 ¯e3, e2 (cid:12)→ e2 ¯e3;
ρB : R2 → B2 : e1 (cid:12)→ e1, e2 (cid:12)→ e3e2 ¯e3;
a : R2 → R2 : e1 (cid:12)→ e1, e2 (cid:12)→ ¯e2;
b : R2 → R2 : e1 (cid:12)→ ¯e2, e2 (cid:12)→ e1 ¯e2.
Notice that ρ(cid:5) is the homotopy inverse to the map (cid:5)2 → R2 that collapses the edge e3.
Likewise ρ(cid:5) ◦ b is the homotopy inverse to the collapse of e2 and ρ(cid:5) ◦ b2 is the homotopy
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742
T. Aougab et al
R2
v
e1
e2
B2
e3
v
e1
w
v
e2
Θ2
e1
e2
e3
w
FIGURE 2. The three homeomorphism types of graphs in G2.
CV (Θ2, ρΘ ◦ a)
CV (Θ2, ρΘ ◦ a)
CV (Θ2, ρΘ ◦ a)
CV (Θ2, ρΘ ◦ a)
C
C
C
C
V
V
V
V
(R
(R
(R
(R
2,
2,
2,
2,
id)
id)
id)
id)
b)
b)
b)
b)
,
,
,
,
(R2
(R2
(R2
(R2
V
V
V
V
C
C
C
C
CV (Θ2, ρΘ)
CV (Θ2, ρΘ)
CV (Θ2, ρΘ)
CV (Θ2, ρΘ)
CV (R2, b2)
CV (R2, b2)
CV (R2, b2)
CV (R2, b2)
C
C
C
C
V
V
V
V
(B
(B
(B
(B
2,
2,
2,
2,
ρ
ρ
ρ
ρ
B)
B)
B)
B)
C
C
C
C
V
V
V
V
(R
(R
(R
(R
2,
2,
2,
2,
id)
id)
id)
id)
FIGURE 3. A portion of the Culler–Vogtmann outer space CV (F2).
inverse to the collapse of e1. Similarly, ρB is the homotopy inverse to the map B2 → R2
that collapses e3.
One of the goals of this paper is to investigate a different continuous section of the
G((cid:4)), defined in §3.1. Using this notion,
quotient map. This uses the notion of entropy, h
there is a section H : PX(Fr ) → X(Fr ) defined by
H([[(G, ρ, (cid:4))]]) = [(G, ρ, h
G((cid:4))(cid:4))].
We will denote the image of this section by X1(Fr ).
3. Thermodynamic metrics
In this section we introduce the entropy and pressure of a length function in M(G), for
a graph G as in §2.1. By normalizing the entropy to be equal to 1, we realize X1(Fr )
(as defined in §2.2) as a section of X(Fr ) → PX(Fr ); it will follow that X1(Fr ) is
homeomorphic to CV (Fr ) (see Theorem 3.5). We use entropy and pressure to construct
piecewise Riemannian metrics on X1(Fr ), which we call the thermodynamic metrics.
Pollicott and Sharp were the first to consider one of these metrics [31]. Kao [22] and
Xu [39] have also investigated these metrics. In these papers, the metric is only considered
for a single marked graph and never on the entire outer space, as we will do here.
3.1. Entropy. Fix a finite connected graph G = (V , E, o, τ , ¯). An edge path
(e1, . . . , en) in a graph G is reduced if ei (cid:16)= ¯ei+1 for i = 1, . . . , n − 1. A reduced edge
path (e1, . . . , en) is a based circuit if τ (en) = o(e1) and en (cid:16)= ¯e1. The set of all based
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Thermodynamic metrics on outer space
743
circuits in G is denoted by C(G). For a length function (cid:4) ∈ M(G) and a real number
t ≥ 0, define
CG,(cid:4)(t) = {γ ∈ C(G) | (cid:4)(γ ) ≤ t}.
Definition 3.1. The entropy of a length function (cid:4) ∈ M(G) is
h
G((cid:4)) = lim
t→∞
1
t
log|CG,(cid:4)(t)|.
Remark 3.2. We defined entropy as the growth rate of the number of reduced based
circuits. In the literature, there exist many equivalent definitions of entropy. In particular,
one can count the growth of reduced edge paths in G starting at a particular vertex and
the adjective ‘based’ can be removed from the count of circuits [24, Proposition 2.3]. This
shows that h
G((cid:4)) equals the volume entropy of (G, (cid:4)). The volume entropy is defined as
the exponential growth rate of the volume of balls in ((cid:12)G, g(cid:4)), where (cid:12)G is the universal
cover of G and g(cid:4) is the piecewise Riemannian metric obtained by pulling back the length
function (cid:4). That is,
1
t
where B(x, t) is the ball of radius t centered at x ∈ (cid:12)G, which is an arbitrary basepoint.
G((cid:4)) = lim
t→∞
log volg(cid:4) B(x, t)
h
Example 3.3. The number of reduced edge paths in Rr with 1-length equal to n is exactly
2r(2r − 1)n−1. Thus for any vertex v ∈ (cid:12)Rr we have
volg1 B(v, n) = r
r − 1
((2r − 1)n − 1).
Hence hRr (1) = log(2r − 1).
The next lemma shows that entropy is homogeneous of degree −1 and thus any length
G(a · (cid:4)) = 1 if and
function (cid:4) ∈ M(G) can be scaled to have unit entropy. Specifically, h
only if a = h
G((cid:4)).
LEMMA 3.4. Let G be a finite connected graph and fix (cid:4) ∈ M(G). If a ∈ R>0, then
G(a · (cid:4)) = 1
a
G((cid:4)).
h
h
Proof. We reparametrize the limit defining entropy by setting s = at. Then
h
G((cid:4)) = lim
t→∞
= lim
s→∞
1
t
a
s
log|{γ ∈ C(G) | (cid:4)(γ ) ≤ t}|
log|{γ ∈ C(G) | a · (cid:4)(γ ) ≤ s}| = ah
G(a · (cid:4)).
Entropy defines an Out(Fr )-invariant function on X(Fr ) by h([(G, ρ, (cid:4))]) = h
G((cid:4)).
This function was investigated by Kapovich and Nagnibeda, who showed the following
theorem.
THEOREM 3.5. [23, Theorem A] The entropy function h : X(Fr ) → R is continuous.
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In particular, the map H : PX(Fr ) → X(Fr ) defined by normalizing to have unit
entropy,
H([[(G, ρ, (cid:4))]]) = [(G, ρ, h
G((cid:4))(cid:4))],
is a section. Hence the image X1(Fr ) = {[(G, ρ, (cid:4))] ∈ X(Fr ) | h
phic to CV (Fr ).
G((cid:4)) = 1} is homeomor-
3.2. Pressure. Fix a finite connected graph G = (V , E, o, τ , ¯). We assume throughout
this subsection and the next that χ(G) < 0 (where χ(G) = |V | − 1
|E| is the Euler
2
characteristic of G—note the 1
2 factor is present as E includes edges with both orientations)
and that G has no vertices with valence equal to 1 or 2.
Define AG ∈ Mat|E|(R) by
AG(e, e
(cid:17)
) =
(cid:6)
1
0
if τ (e) = o(e(cid:17)) and ¯e (cid:16)= e(cid:17),
otherwise.
(3.1)
G(e, e(cid:17)) is the number of reduced edge paths of the form
It follows that the entry An
(e1, . . . , en) where e1 = e, τ (en) = o(e(cid:17)) and ¯en (cid:16)= e(cid:17). In particular, tr(An
G) is the number
of based edge circuits with 1-length equal to n. Denoting the spectral radius of a matrix by
spec((cid:2)), we get, from the definition of entropy, that
h
G(1) = log(spec(AG)).
(3.2)
We remark that the above assumptions on G ensure that AG is irreducible.
In order to get a matrix that incorporates the metric and is related to entropy, we scale
the rows of AG as follows: given a function f : E → R, we define AG,f ∈ Mat|E|(R) by
As for AG, it follows that An
form γ = (e1, . . . , en) where e1 = e, τ (en) = o(e(cid:17)) and ¯en (cid:16)= e(cid:17).
(cid:17)
(cid:17)
) = AG(e, e
AG,f (e, e
(3.3)
G,f (e, e(cid:17)) is the sum of exp(−f (γ )) over all edge paths of the
) exp(−f (e)).
Definition 3.6. The pressure of a function f : E → R is defined as P
log spec(AG,−f ).
G(f ) =
By equation (3.2) we have that P
G(0) = h
G(1) as AG,−0 = AG, where 0 is the zero
function.
The connection between entropy and pressure is given by the following theorem.
THEOREM 3.7. Suppose that G = (V , E, o, τ , ¯) is a finite connected graph. Then the
following statements hold.
(1) For any length function (cid:4) ∈ M(G), P
(2)
(3)
G : R|E+| → R is real analytic and convex.
G : M(G) → R is real analytic and strictly convex.
The pressure function P
The entropy function h
G(−(cid:4)) = 0 if and only if h
G((cid:4)) = 1.
Proof. The first item appears in the work of Pollicott and Sharp [31, Lemma 3.1(2)].
The properties of pressure stated in the second item can be found in the work of Parry
and Pollicott [29, Propositions 4.7 and 4.12].
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Thermodynamic metrics on outer space
745
The properties of entropy stated in the third item can be found in the work of McMullen
[28, Proposition A.4]. Kapovich and Nagnibeda gave an alternative proof of the real
analyticity of h
G [23].
Let M1(G) = {(cid:4) ∈ M(G) | h
natively M1(G) = {(cid:4) ∈ M(G) | P
submanifold of R|E+| we need to argue that 1 is a regular value of h
the following lemma. We denote the standard Euclidean inner product on Rn by (cid:18)(cid:2), (cid:2)(cid:19).
G((cid:4)) = 1}. By the first item above, we have that alter-
G(−(cid:4)) = 0}. To see that M1(G) is a codimension-1
G. This follows from
LEMMA 3.8. Let G be a finite connected graph and fix (cid:4) ∈ M(G). Then (cid:18)(cid:4), ∇h
−h
G((cid:4)).
G((cid:4))(cid:19) =
Proof. This follows from the homogeneity of the entropy function (Lemma 3.4). Indeed,
(cid:18)(cid:4), ∇h
G((cid:4))(cid:19) = lim
s→0
h
G((cid:4))
h
= lim
s→0
G((cid:4) + s(cid:4)) − h
s
G((cid:4)) − h
s
h
1
1+s
G((cid:4))
= h
G((cid:4)) lim
s→0
G((cid:4))
G((1 + s)(cid:4)) − h
s
−s
s(s + 1)
= −h
G((cid:4)).
= lim
s→0
We record the following properties of the partial derivatives and the gradient of the
pressure function. Given a function f : R|E+| → R and an edge e ∈ E+, we denote the
partial derivative of f with respect to the eth coordinate by ∂ef . Let (cid:21)(cid:2)(cid:21)1 denote the usual
L1-norm on vectors in Rn.
LEMMA 3.9. Let G = (V , E, o, τ , ¯) be a finite connected graph and fix (cid:4) ∈ M(G). Then
the following statements hold.
(1)
(2)
G((cid:4)) > 0 for any e ∈ E+.
G((cid:4))(cid:21)1 = 1.
∂eP
(cid:21)∇P
Proof. By the Perron–Frobenius theorem, the spectral radius of AG,(cid:4) is realized by
a positive, real, simple eigenvalue λ. Let v ∈ R|E| be a corresponding positive left
eigenvector so that vAG,(cid:4) = λv. Consider the matrix QG,(cid:4) ∈ Mat|E|(R) defined by
QG,(cid:4)(e, e(cid:17)) = (v(e)/λv(e(cid:17)))AG,(cid:4)(e, e(cid:17)). Again, by the Perron–Frobenius theorem, as this
matrix is column stochastic, there is a positive vector p ∈ R|E| with QG,(cid:4)p = p and
(cid:21)p(cid:21)1 = 1. As explained by Parry and Pollicott, we have that ∂eP
G((cid:4)) = p(e) + p( ¯e) [29,
Ch. 2, Remark 1 and Proposition 4.10]. Items (3.9) and (3.9) readily follow.
3.3. Thermodynamic metrics. Fix a finite connected graph G = (V , E, o, τ , ¯). As in
the previous section, we assume that χ(G) < 0 and that G has no vertices with valence
equal to 1 or 2. The tangent space T(cid:4)M1(G) at the length function (cid:4) ∈ M1(G) is the
space of vectors v ∈ R|E+| such that (cid:18)v, ∇h
G((cid:4))(cid:19) = 0. The tangent bundle T M1(G) is the
subspace of M1(G) × R|E+| consisting of pairs ((cid:4), v) where v ∈ T(cid:4)M1(G).
We now define two Riemannian metrics on M1(G). We denote the Hessian (that is, the
matrix of second derivatives) of a smooth function f : Rn → R by H[f (x)].
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Definition 3.10. Given a length function (cid:4) ∈ M1(G) and tangent vectors v1, v2 ∈
T(cid:4)M1(G) we define the entropy metric by
and the pressure metric by
(cid:18)v1, v2(cid:19)h,G = (cid:18)v1, H[h
G((cid:4))]v2(cid:19),
(cid:18)v1, v2(cid:19)P,G = (cid:18)v1, H[P
G(−(cid:4))]v2(cid:19).
The associated norms on the tangent bundle T M1(G) are denoted by
G((cid:4))]v(cid:19)
and (cid:21)((cid:4), v)(cid:21)2
= (cid:18)v, H[h
(cid:21)((cid:4), v)(cid:21)2
= (cid:18)v, H[P
P,G
h,G
G(−(cid:4))]v(cid:19).
By Theorem 3.7(3) we have that (cid:18)(cid:2), (cid:2)(cid:19)h,G is positive definite. Positive definiteness
of (cid:18)(cid:2), (cid:2)(cid:19)P,G on T(cid:4)M1(G) has been noted by others, but also follows from the positive
definiteness of (cid:18)(cid:2), (cid:2)(cid:19)h,G by Proposition 3.12.
Remark 3.11. Other authors have considered these metrics with different and conflicting
terminology. We discuss this now using the notation introduced above. Pollicott and Sharp
defined (cid:21)(cid:2)(cid:21)P,G, calling it the Weil–Petersson metric [31]. Kao defined (cid:21)(cid:2)(cid:21)h,G, calling it
the Weil–Petersson metric, and also studied (cid:21)(cid:2)(cid:21)P,G, calling it the pressure metric [22]. Xu
considered (cid:21)(cid:2)(cid:21)h,G, calling it the pressure metric [39]. We use the terminology as stated in
Definition 3.10 as it accurately reflects the functions on which the metrics are based. The
definitions of these metrics in the literature are not those as given in Definition 3.10, but
are equivalent as can be seen by Proposition 3.12.
We note that Theorem 3 in the paper by Pollicott and Sharp [31] holds for the metric
(cid:21)(cid:2)(cid:21)h,G and not for (cid:21)(cid:2)(cid:21)P,G as claimed.
The following proposition shows that these metrics lie in the same conformal class
and that they can be calculated using the second derivative along a path. This feature is
essential particularly for the material in §10.
PROPOSITION 3.12. Let G be a finite connected graph. If (cid:4)t : (−1, 1) → M1(G) is a
smooth path, then
(cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)2
and (cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)2
= −(cid:18) ¨(cid:4)t , ∇h
= (cid:18) ¨(cid:4)t , ∇P
G(−(cid:4)t )(cid:19).
G((cid:4)t )(cid:19)
P,G
h,G
Additionally, given a length function (cid:4) ∈ M1(G) and tangent vectors v1, v2 ∈ T(cid:4)M1(G),
we have
(cid:18)v1, v2(cid:19)h,G =
(cid:18)v1, v2(cid:19)P,G
(cid:18)(cid:4), ∇P
G(−(cid:4))(cid:19) .
G(−(cid:4)t ) = 0 with respect
Proof. Differentiating the equation P
∇P
G(−(cid:4)t )(cid:19) = 0. Differentiating again, we find that
G(−(cid:4)t )(cid:19) − (cid:18) ˙(cid:4)t , H[P
(cid:18) ¨(cid:4)t , ∇P
G(−(cid:4)t )] ˙(cid:4)t (cid:19) = 0.
to t, we have (cid:18) ˙(cid:4)t ,
Hence (cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)2
P = (cid:18) ˙(cid:4)t , H[P(−(cid:4)t )] ˙(cid:4)t (cid:19) = (cid:18) ¨(cid:4)t , ∇P(−(cid:4)t )(cid:19) as claimed.
The proof of the analogous statement for the entropy norm is similar, observing that
G((cid:4)t ) = 1.
h
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By Lemma 3.8, we have that (cid:18)(cid:4), ∇h
G(−(cid:4)) is non-zero by Lemma 3.9 and hence is parallel to ∇h
G((cid:4))(cid:19) = −1 for any (cid:4) ∈ M1(G). Further, we have
G((cid:4)) by Theorem
that ∇P
3.7(1). Hence we find that
(cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)2
h,G
= − (cid:18) ¨(cid:4)t , ∇h
G((cid:4)t )(cid:19) =
(cid:18) ¨(cid:4)t , ∇h
(cid:18)(cid:4)t , ∇h
G((cid:4)t )(cid:19)
G((cid:4)t )(cid:19)
=
(cid:18) ¨(cid:4)t , ∇P
(cid:18)(cid:4)t , ∇P
G(−(cid:4)t )(cid:19)
G(−(cid:4)t )(cid:19)
=
(cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)2
(cid:18)(cid:4)t , ∇P
G(−(cid:4)t )(cid:19).
P,G
By polarization, the norm determines the inner product and so the claim follows.
Positive definiteness of the Hessians follows from strict convexity of h
M(G) and R|E+|, respectively (Theorem 3.7).
G and P
G on
Using these norms, we can define the entropy or pressure length of a piecewise smooth
path (cid:4)t : [t0, t1] → M1(G) by
Lh,G((cid:4)t |[t0, t1]) =
LP,G((cid:4)t |[t0, t1]) =
(cid:13)
t1
t0
(cid:13)
t1
t0
(cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)h,G dt,
(cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)P,G dt.
These induce the entropy and pressure distance functions on M1(G) by
dh,G(x, y) = inf{Lh,G((cid:4)t |[0, 1]) | (cid:4)t : [0, 1] → M1(G), (cid:4)0 = x, (cid:4)1 = y},
dP,G(x, y) = inf{LP,G((cid:4)t |[0, 1]) | (cid:4)t : [0, 1] → M1(G), (cid:4)0 = x, (cid:4)1 = y}.
Given a marked graph (G, ρ), we set X1(G, ρ) = X(G, ρ) ∩ X1(Fr ). Using the natural
bijection X1(G, ρ) ↔ M1(G), we get metrics and distance functions on X1(G, ρ) that we
denote using the same notation as above.
Next, we explain how these fit together to get distance functions on X1(Fr ). Suppose
αt : [0, 1] → X1(Fr ) is a piecewise smooth path and that there is a partition t1 = 0 < t2 <
· · · < tn+1 = 1 and marked graphs (Gk, ρk) for k = 1, . . . , n such that αt ∈ X1(Gk, ρk)
for t ∈ (tk, tk+1). We set
Lh(αt ) =
n(cid:4)
k=1
Lh,Gk (αt |(tk, tk+1))
and LP(αt ) =
n(cid:4)
k=1
LP,Gk ((αt |(tk, tk+1)).
These define distance functions on X1(Fr ) as usual—by taking the infimum of the lengths
of paths—that we denote by dh and dP. It is obvious that the proposed distance functions
are symmetric and satisfy the triangle inequality; positive definiteness of the Hessians
implies non-degeneracy. However, it is not obvious that the distances they define are finite:
a priori it may be possible that the length of a path that collapses an edge is infinite. This
will be addressed in §5.
Remark 3.13. For the remainder of the paper we will mainly be concerned with the entropy
metric. As stated in §1.6, the main results of this paper also hold for the pressure metric
with slightly altered hypotheses.
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4. A determinant-defining equation for M1(G)
The purpose of this section is to derive formulas to assist in computing the metrics
introduced in the previous section. The first of these appears in §4.1, specifically
Proposition 4.6, where it is shown that these metrics can be computed using finite sums
of exponential functions on M1(G). Next, in §4.2, we present a simplification for certain
graphs that is useful in the sequel.
4.1. Determinant equation. Fix a finite connected graph G = (V , E, o, τ , ¯). We
always assume that χ(G) < 0 and G has no vertices of valence 1 or 2.
Let DG be the directed graph with adjacency matrix AG. Thus the vertex set for DG
is the set E (recall our notation E = E+ ∪ E+) and there is an edge from e to e(cid:17) if
AG(e, e(cid:17)) = 1, that is, if τ (e) = o(e(cid:17)) and ¯e (cid:16)= e(cid:17). The cycle complex of DG, denoted
by CG, is the abstract simplicial complex with an n-simplex for each collection (cid:7) =
{z1, . . . , zn+1} of pairwise disjoint simple cycles, that is, embedded loops, in DG.
Example 4.1. Suppose that G is the barbell graph as shown below:
a
c
b
Order the edges of G by a, ¯a, b, ¯b, c, ¯c. The matrix AG and directed graph DG are as
presented below:
⎡
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎣
⎤
1 0 0 0 1 0
0 1 0 0 1 0
0 0 1 0 0 1
0 0 0 1 0 1
0 0 1 1 0 0
1 1 0 0 0 0
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎦
a
¯a
c
¯c
b
¯b
There are eight simple cycles in DG: γa = (a), γ ¯a = ( ¯a), γb = (b), γ ¯b
= (a, c, ¯b, ¯c), γ ¯ab = ( ¯a, c, b, ¯c) and γ ¯a ¯b
(a, c, b, ¯c), γa ¯b
CG is the flag complex whose 1-skeleton is shown in Figure 4.
= ( ¯b), γab =
= ( ¯a, c, ¯b, ¯c). The cycle complex
Given a function f : E → R (in particular, a length function) and a simple cycle z in
(cid:7)
n
DG, we set f (z) =
i=1 f (ei) where e1, . . . , en are the vertices in DG traversed by z
(each corresponding to an oriented edge in G). Likewise, for a simplex (cid:7) = {z1, . . . , zn}
(cid:7)
n
in CG we set f ((cid:7)) =
k=1 f (zk). We consider the empty set as a simplex and define
f (∅) = 0 for any function f : E → R. Lastly, for a simplex (cid:7) = {z1, . . . , zn} we set
|(cid:7)| = n.
Recall
is defined
by AG,(cid:4)(e, e(cid:17)) = exp(−(cid:4)(e))AG(e, e(cid:17)). We consider the function FG : M(G) → R
that given a length function (cid:4) ∈ M(G),
the matrix AG,(cid:4)
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γ¯a¯b
γa¯b
γb
γa
γ¯a
γ¯b
γ¯ab
γab
FIGURE 4. The 1-skeleton of the cycle complex CG in Example 4.1.
given by
FG((cid:4)) = det(I − AG,(cid:4)).
(4.1)
This function can be expressed using the cycle complex CG as follows.
THEOREM 4.2. Let G be a finite connected graph and fix (cid:4) ∈ M(G). Then
(cid:4)
FG((cid:4)) =
(−1)
|(cid:7)|
exp(−(cid:4)((cid:7))).
(cid:7)∈CG
Proof. This follows from the coefficient theorem for digraphs. See, for instance, [15] and
[3, Theorems 2.5 and 2.14].
Example 4.3. We apply Theorem 4.2 to the case when G is the barbell graph as in
Example 4.1. Using the change of variables x = exp(−(cid:4)(a)), y = exp(−(cid:4)(b)) and z =
exp(−(cid:4)(c)), we find that
FG((cid:4)) = 1 − (2x + 2y + 4xyz2) + (x2 + y2 + 4xy + 4x2yz2 + 4xy2z2)
− (2x2y + 2xy2 + 4x2y2z2) + x2y2.
The following statements show how the function FG is related to M1(G).
LEMMA 4.4. For (cid:4) ∈ M1(G) we have:
(1) FG((cid:4)) = 0;
(2) ∇FG((cid:4)) (cid:16)= 0; and moreover,
∂eFG((cid:4)) > 0 for any e ∈ E+.
(3)
Proof. Since (cid:4) lies in M1(G), Theorem 3.7(1) and the definition of pressure imply
that spec(AG,(cid:4)) = 1. Above we remarked that the assumptions on G imply that AG is
irreducible; hence so is AG,(cid:4). By the Perron–Frobenius theorem the spectral radius of
AG,(cid:4) is realized by a positive, real, simple eigenvalue; (1) follows.
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Now consider the function p : R → R defined by p(t) = det(I − tAG,(cid:4)). Let 1 =
λ1, . . . , λ|E| be the roots of the characteristic polynomial of AG,(cid:4). Then we can write
p(t) = (1 − t)
|E|(cid:20)
i=2
(1 − tλi).
Therefore, taking the derivative, we find that
(cid:17)
p
(1) = −
|E|(cid:20)
(1 − λi).
i=2
For i = 2, . . . , |E| we have that |λi| ≤ 1 and λi (cid:16)= 1. Combining these observations
with the fact that complex eigenvalues come in conjugate pairs, it follows that p(cid:17)(1) < 0.
Observe that FG((cid:4) + s · 1) = det(I − exp(−s)AG,(cid:4)) = p(exp(−s)). Therefore we have
that (cid:18)1, ∇FG((cid:4))(cid:19) = −p(cid:17)(1) exp(0) > 0, giving (2).
We claim that ∇FG((cid:4)) is parallel to ∇P
G((cid:4)) for (cid:4) ∈ M1(G). Indeed, this follows as (1),
−1
(2) and Theorem 3.7 imply that P−1
G (0).
By (2) and Lemma 3.9(2) the gradients of FG and P
G are non-zero for this subset. As
gradients are always orthogonal to level sets, the claim follows. Hence by Lemma 3.9(1),
we have that either ∂eFG((cid:4)) > 0 or ∂eFG((cid:4)) < 0 for all e ∈ E+ and (cid:4) ∈ M1(G). Since
(cid:18)1, ∇FG((cid:4))(cid:19) > 0, we must have the former, whence (3).
G (0) = M1(G) is a connected component of F
As a remarked in the proof of Lemma 4.4, we have the following corollary.
COROLLARY 4.5. The unit-entropy moduli space M1(G) is a connected component of the
level set {(cid:4) ∈ M(G) | FG((cid:4)) = 0}.
Using these observations, we can compute the entropy and pressure norms using the
function FG.
PROPOSITION 4.6. If (cid:4)t : (−1, 1) → M1(G) is a smooth path, then
=
h,G
(cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)2
−(cid:18) ˙(cid:4)t , H[FG((cid:4)t )] ˙(cid:4)t (cid:19)
(cid:18)(cid:4)t , ∇FG((cid:4)t )(cid:19)
−(cid:18) ˙(cid:4)t , H[FG((cid:4)t )] ˙(cid:4)t (cid:19)
(cid:21)∇FG((cid:4)t )(cid:21)1
Proof. The proof of the formula for the entropy norm is similar to that of Proposition 3.12
and left to the reader.
(cid:18) ¨(cid:4)t , ∇FG((cid:4)t )(cid:19)
(cid:18)(cid:4)t , ∇FG((cid:4)t )(cid:19) ,
(cid:18) ¨(cid:4)t , ∇FG((cid:4)t )(cid:19)
(cid:21)∇FG((cid:4)t )(cid:21)1
(cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)2
P,G
=
=
=
.
The proof of the formula for the pressure norm is again similar, noting that
(cid:21)∇P((cid:4))(cid:21)1 = 1 as stated in Lemma 3.9(2).
Using Theorem 4.2, we can compute the partial derivatives of FG. We find for any edges
e, e(cid:17) ∈ E+ that
(cid:4)
∂eFG((cid:4)) = −
(−1)
|(cid:7)|
(cid:7)(e) exp(−(cid:4)((cid:7))),
∂ee(cid:17)FG((cid:4)) =
(cid:7)∈CG
(cid:4)
(−1)
|(cid:7)|
(cid:7)(e)(cid:7)(e
(cid:17)
) exp(−(cid:4)((cid:7))),
(4.2)
(4.3)
(cid:7)∈CG
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(cid:7)
where (cid:7)(e) ∈ {0, 1, 2} denotes the cardinality of the intersection {e, ¯e} ∩ (cid:7). Using this
e∈E+ (cid:7)(e)(cid:4)(e) for a length function (cid:4) ∈ M(G) and
notation, we remark that (cid:4)((cid:7)) =
simplex (cid:7) ∈ CG. Given a vector v ∈ R|E+| and a simplex (cid:7) ∈ CG, we set v((cid:7)) =
(cid:7)
e∈E+ (cid:7)(e)v(e). Using these expressions, we can rewrite the dot products appearing in
the formulas for the metrics in Proposition 4.6 as sums over simplices in CG rather than
over the edges of G as follows.
LEMMA 4.7. For (cid:4) ∈ M(G), we have
(cid:18)(cid:4), ∇FG((cid:4))(cid:19) = −
(cid:4)
(cid:7)∈CG
(−1)
|(cid:7)|
(cid:4)((cid:7)) exp(−(cid:4)((cid:7))).
Proof. We compute:
(cid:18)(cid:4), ∇FG((cid:4))(cid:19) =
(cid:9)
(cid:4)(e)
−
(cid:4)
e∈E+
(cid:4)
(cid:7)∈CG
(cid:10)
(cid:10)
(−1)
|(cid:7)|
(cid:7)(e) exp(−(cid:4)((cid:7)))
(cid:9) (cid:4)
(−1)
|(cid:7)|
exp(−(cid:4)((cid:7)))
(cid:4)(e)(cid:7)(e)
e∈E+
(cid:4)((cid:7)) exp(−(cid:4)((cid:7))).
(−1)
|(cid:7)|
= −
= −
(cid:4)
(cid:7)∈CG
(cid:4)
(cid:7)∈CG
LEMMA 4.8. Let G be a finite connected graph. If ((cid:4), v) ∈ T M1(G), then
(cid:18)v, H[FG((cid:4))]v(cid:19) =
(−1)
|(cid:7)|v((cid:7))2 exp(−(cid:4)((cid:7))).
(cid:4)
(cid:7)∈CG
Proof. This is similar to Lemma 4.7. The eth component of H[FG((cid:4))]v is
(cid:4)
(cid:9) (cid:4)
(cid:4)
(cid:10)
(−1)
|(cid:7)|
(cid:7)(e)(cid:7)(e
) exp(−(cid:4)((cid:7)))
(cid:17)
(cid:17)
v(e
) =
(−1)
|(cid:7)|
(cid:7)(e)v((cid:7)) exp(−(cid:4)((cid:7))).
e(cid:17)∈E+
(cid:7)∈CG
Hence
(cid:18)v, H[∇FG((cid:4))]v(cid:19) =
(cid:7)∈CG
(cid:4)
(cid:9) (cid:4)
v(e)
(−1)
|(cid:7)|
(cid:7)(e)v((cid:7)) exp(−(cid:4)((cid:7)))
(cid:10)
e∈E+
(cid:4)
(cid:7)∈CG
|(cid:7)|v((cid:7))2 exp(−(cid:4)((cid:7))).
(−1)
=
(cid:7)∈CG
By Lemma 4.4, if h
G((cid:4)) = 1 then FG((cid:4)) = 0. The next lemma gives a partial converse.
LEMMA 4.9. If h
G((cid:4)) < 1, then FG((cid:4)) > 0.
Proof. We begin by showing that if h
if h
G((cid:4)) < 1, then P
G((cid:4)) < 1, then FG((cid:4)) (cid:16)= 0. To begin, we observe that
G(−(cid:4)) < 0. Indeed, let (cid:4)t : [0, 1] → M(G) be the path defined by
(cid:4)t = (1 − t)(cid:4) + th
G(−(cid:4)t ), − ˙(cid:4)t (cid:19) > 0 as each component of ∇P
G((cid:4))(cid:4).
We have that (cid:18)∇P
Lemma 3.9(1) and each component of − ˙(cid:4)t
G(−(cid:4)t ) is positive by
is positive by construction. Notice that
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P
G(−(cid:4)1) = 0 by Theorem 3.7(1) since h
G((cid:4)1) = 1. Therefore, we find that
−P
G(−(cid:4)0) =
(cid:13)
1
0
(cid:18)∇P
G(−(cid:4)t ), − ˙(cid:4)t (cid:19) dt > 0
G(−(cid:4)) = P
We now complete the proof of the lemma. Suppose that h
G(−(cid:4)0) is negative as claimed. Therefore we have that
and hence P
spec(AG,(cid:4)) < 1 and, in particular, 1 is not an eigenvalue of AG,(cid:4). Hence FG((cid:4)) (cid:16)= 0.
This completes the claim that FG((cid:4)) (cid:16)= 0 for any (cid:4) ∈ M(G) where h
G((cid:4)) < 1.
G((cid:4)) < 1 and consider the con-
G((cid:4) + t · 1) < 1
t ∈ [0, ∞), by the above claim we have that p(t) (cid:16)= 0. Since p(t) → 1
t ∈ [0, ∞). In particular, we have that
tinuous function p : [0, ∞) → R defined by p(t) = FG((cid:4) + t · 1). As h
for all
as t → ∞, we have that p(t) > 0 for all
FG((cid:4)) = p(0) > 0.
4.2. A simplification. The function FG factors non-trivially in special cases as a result of
certain aspects of the graph G. In such a case, we can replace FG with one of these factors
and simplify the expressions for the entropy and pressure norm from Proposition 4.6.
For instance, one factorization occurs if e is a loop edge. When (cid:4)(e) = 0 the vector
v ∈ R|E|, where v(e) = 1, v( ¯e) = −1, and the rest of the entries are equal to 0, is an
eigenvector of AG,(cid:4) with eigenvalue 1. This means 1 − exp(−(cid:4)(e)) is a factor of FG.
Example 4.10. Using the notation from Example 4.3, we have that both 1 − x and 1 − y
are factors of FG. Factoring, we have
FG((cid:4)) = (1 − x)(1 − y)(1 − x − y + xy − 4xyz2).
Another case where there is a factorization of FG is when the edge involution e ↔ ¯e
is a graph automorphism of G. There are only two types of graphs for which such an
automorphism exists:
the r-rose, Rr ;
(1)
the graph (cid:5)r with vertices, v and w, and edges e1, . . . , er+1 where o(ei) = v and
(2)
τ (ei) = w for i = 1, . . . , r + 1.
In this case ordering the edges in E+ first and then ordering the edges in E − E+
accordingly, we have that
AG =
(cid:11)
(cid:8)
BG B(cid:17)
G
B(cid:17)
G BG
for two matrices BG, B(cid:17)
G
∈ Mat|E+|(R). Thus
(cid:21)
FG((cid:4)) = det(I − AG,(cid:4)) = det
(cid:22)
I − BG,(cid:4) −B(cid:17)
−B(cid:17)
G,(cid:4)
I − BG,(cid:4)
= det(I − BG,(cid:4) − B
G,(cid:4)
(cid:17)
G,(cid:4)) det(I − BG,(cid:4) + B
G corresponds to an edge e ∈ E+ the notation BG,(cid:4) and B(cid:17)
(cid:17)
G,(cid:4)).
G,(cid:4)
Since each row of BG or B(cid:17)
still makes sense.
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For Rr , we have that BRr is the r × r matrix consisting of all 1s and B(cid:17)
Rr
this case
= BRr
− I . In
det(I − BRr ,(cid:4) + B
(cid:17)
Rr ,(cid:4)) =
(cid:20)
e∈E+
(1 − exp(−(cid:4)(e))).
These are precisely the factors which were observed above for loop edges.
For (cid:5)r , we have that B(cid:5)r is the (r + 1) × (r + 1) matrix consisting of all 0s and B(cid:17)
is
(cid:5)r
the (r + 1) × (r + 1) matrix where all diagonal entries are 0 and all non-diagonal entries
are 1. In this case we have
F(cid:5)r ((cid:4)) = det(I − B
(cid:17)
(cid:5)r ,(cid:4)) det(I + B
(cid:17)
(cid:5)r ,(cid:4)).
In general, we now construct a graph quotient DG → DG that identifies certain edge
pairs {e, ¯e} resulting in a new matrix AG, which selects the appropriate factor. In this new
matrix, every row corresponds to either an edge e ∈ E or an edge pair {e, ¯e}, and so we
can still make sense of AG,f for a function f : E+ → R.
When G is Rr or (cid:5)r , we take D(cid:5)r to be the quotient of D(cid:5)r by the orientation-reversing
automorphism e (cid:12)→ ¯e. In this case AG,(cid:4) = BG,(cid:4) + B(cid:17)
G,(cid:4).
Otherwise, for each pair {e, ¯e} that is a loop edge of G, we identify the vertices of
DG corresponding to e and ¯e, now denoted e ¯e, keep the incoming edges and identify
the outgoing edges that have the same terminal vertex. We call the resulting graph DG.
Algebraically, we add together the columns corresponding to e and ¯e and delete one of the
rows corresponding to e and ¯e.
We define F G : M(G) → R by
F G((cid:4)) = det(I − AG,(cid:4)).
(4.4)
The formula in Theorem 4.2, the formulas for the partial derivatives in (4.2) and (4.3), and
the inner products in Lemmas 4.7 and 4.8 hold for F G using the complex CG, which is the
cycle complex of the directed graph DG.
Example 4.11. For G equal to the barbell graph as in Example 4.1 we have AG and DG as
shown below (columns of the matrix are ordered as a ¯a, b ¯b, c, ¯c):
⎡
⎢
⎢
⎣
⎤
⎥
⎥
⎦
1 0 1 0
0 1 0 1
0 2 0 0
2 0 0 0
a ¯a
c
¯c
b ¯b
The two directed edges from ¯c to a ¯a are identified with the set {a, ¯a} so that we think
of the sequence c, a or c, ¯a as specifying which of the two edges between ¯c and a ¯a to
= (b ¯b), γab = (a, c, b, ¯c),
traverse in a cycle. There are six simple cycles: γa ¯a = (a ¯a), γb ¯b
= ( ¯a, c, ¯b, ¯c). The cycle complex CG is
γa ¯b
= (a, c, ¯b, ¯c), γ ¯ab = ( ¯a, c, b, ¯c) and γ ¯a ¯b
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γa ¯a
γb ¯b
γab
γ ¯ab
γa ¯b
γ ¯a ¯b
Using Theorem 4.2, we find (with x = exp(−(cid:4)(a)), y = exp(−(cid:4)(b)) and z =
exp(−(cid:4)(c))) that
F G((cid:4)) =
(cid:4)
(cid:7)∈CG
(−1)
|(cid:7)|
exp(−(cid:4)((cid:7))) = 1 − (x + y + 4xyz2) + xy.
The astute reader will notice the comparison with Example 4.10.
LEMMA 4.12. With the above setup, spec(AG,(cid:4)) = spec(AG,(cid:4)).
Proof. Each circuit in DG lifts to at most two circuits of the same length in DG. Thus
n
G,(cid:4)) ≤ tr(An
tr(A
n
G,(cid:4)) for all n ∈ N and so the lemma follows.
G,(cid:4)) ≤ 2 tr(A
In particular, we have that P
G(−(cid:4)) = log spec(AG,(cid:4)). As in Corollary 4.5, we have the
following statement. This follows for the same reasons as in Lemma 4.4 as F G((cid:4)) = 0 and
∇F G((cid:4)) (cid:16)= 0 for (cid:4) ∈ M1(G).
PROPOSITION 4.13. The unit-entropy moduli space M1(G) is a connected component of
the level set {(cid:4) ∈ M(G) | F G((cid:4)) = 0}.
We also observe that the formulas for the metrics in Proposition 4.6 hold for F G.
PROPOSITION 4.14. If (cid:4)t : (−1, 1) → M1(G) is a smooth path, then
(cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)2
h,G
=
(cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)2
P,G
=
−(cid:18) ˙(cid:4)t , H[F G((cid:4)t )] ˙(cid:4)t (cid:19)
(cid:18)(cid:4)t , ∇F G((cid:4)t )(cid:19)
−(cid:18) ˙(cid:4)t , H[F G((cid:4)t )] ˙(cid:4)t (cid:19)
(cid:21)∇F G((cid:4)t )(cid:21)1
=
=
(cid:18) ¨(cid:4)t , ∇F G((cid:4)t )(cid:19)
(cid:18)(cid:4)t , ∇F G((cid:4)t )(cid:19)
(cid:18) ¨(cid:4)t , ∇F G((cid:4)t )(cid:19)
(cid:21)∇F G((cid:4)t )(cid:21)1
,
.
5. The topology induced by the entropy metric
The purpose of this section is to show that the metric topology induced by dh on X1(Fr )
is the same as the weak topology on X1(Fr ). We do so using the formulas for the entropy
metric derived in §4 and seeing that they behave as one might anticipate with regards to
collapses. We refer the reader back to §2.2 for the notation used in this section.
By Theorem 3.5 we have that h
M(G). Indeed, if c : G → G0 is a collapse, then for (cid:4) ∈ M(G0) we have h
G : M(G) → R extends to a continuous function on
G(c∗((cid:4))) =
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h
G0((cid:4)). We set M1
(G) = {(cid:4) ∈ M(G) | h
G((cid:4)) = 1} and observe that we have
(cid:5)
M1
(G) =
∗
(M1(G0))
c
c : G→G0
as well. This set is homeomorphic to the closure of CV (G, ρ) in CV (Fr ) for any marking
ρ : Rr → G. Given a graph G, we observe that FG : M(G) → R admits an extension
(still denoted FG) to R|E+|. In particular, FG is defined on M(G) ⊂ R|E+|. The next result
shows that this function behaves as expected with respect to collapses.
LEMMA 5.1. If c : G → G0 is a collapse, then FG ◦ c∗ = FG0.
Proof. It suffices to consider the case when c : G → G0 is the collapse of a single edge
e ∈ E+. Order the edges in E starting with e and ¯e. Since e can be collapsed, it is not a loop
and so we have that AG(e, e) = AG( ¯e, ¯e) = 0. By definition, AG(e, ¯e) = AG( ¯e, e) = 0.
Thus the top-leftmost 2 × 2 block of the matrix I − AG is the 2 × 2 identity matrix.
Let (cid:4) ∈ M(G0). For an edge e(cid:17) /∈ {e, ¯e}, the entry [I − AG,c∗((cid:4))](e, e(cid:17)) is either −1 or 0
depending on whether or not e(cid:17) can follow e. Likewise for [I − AG,c∗((cid:4))]( ¯e, e(cid:17)). Again, as
e is not a loop, for any edge e(cid:17) /∈ {e, ¯e}, at most one of these entries is non-zero.
For each edge e(cid:17) /∈ {e, ¯e}, where [I − AG,c∗((cid:4))](e, e(cid:17)) = −1, we consider the column
operation that adds the column for e to the column for e(cid:17). This zeros the (e, e(cid:17)) entry. The
( ¯e, e(cid:17)) entry was previously 0 and is unaffected by this operation. We next see what effect
this has on the remaining rows. In the row for e(cid:17)(cid:17) /∈ {e, ¯e}, this adds − exp(−(cid:4)(e(cid:17)(cid:17))) to
AG,c∗((cid:4))(e(cid:17)(cid:17), e(cid:17)) if e can follow e(cid:17)(cid:17) and 0 otherwise. In the former case, the previous entry
was either 0 (e(cid:17) (cid:16)= e(cid:17)(cid:17)) or 1 (e(cid:17) = e(cid:17)(cid:17)) as e is not a loop edge. In other words, this adds
− exp(−(cid:4)(e(cid:17)(cid:17))) whenever e(cid:17) can follow e(cid:17)(cid:17) in G0. Therefore, the remaining entries in the
column for e(cid:17) agree with the corresponding entries in the column of I − AG0,(cid:4) for e(cid:17).
Hence, after performing column operations to I − AG,c∗((cid:4)) with the column for e to
clear out the rest of the row for e and column operations with the column for ¯e to
clear out the rest of the row for ¯e, the resulting matrix has lower block triangular form.
The top-leftmost 2 × 2 block is still the 2 × 2 identity matrix and the bottom-rightmost
(|E| − 2) × (|E| − 2) block is I − AG0,(cid:4).
As these column operations do not change the determinant, we have for (cid:4) ∈ M(G0) that
∗
FG(c
((cid:4))) = det(I − AG,c∗((cid:4))) = det(I − AG0,(cid:4)) = FG0((cid:4)).
As a consequence of Lemma 5.1 we deduce the following result. If c : G → G0 is
a collapse and e ∈ E+ is an edge such that c(e) is not a vertex, then ∂c(e)FG0((cid:4)) =
∂eFG(c∗((cid:4))) for all (cid:4) ∈ M(G0). Similarly, in this same setting, if additionally c(e(cid:17)) is
not a vertex for an edge e(cid:17) ∈ E+, then ∂c(e)c(e(cid:17))FG0((cid:4)) = ∂ee(cid:17)FG(c∗((cid:4))).
The tangent bundle T M1
(G) is the subspace of ((cid:4), v) ∈ R|E+| × R|E+| such that
(G) and (cid:18)v, ∇FG((cid:4))(cid:19) = 0. Given a collapse, we let c∗ : R|(E0)+| → R|E+| be the
(G) be the
(cid:4) ∈ M1
derivative of the map c∗ : M(G0) → M(G) and T c∗ : T M1(G0) → T M1
map given by T c∗((cid:4), v) = (c∗((cid:4)), c∗(v)).
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Using this notation, we see that
(cid:18)c∗
(v), H[FG(c
∗
(cid:18)c
((cid:4)), ∇FG(c
∗
((cid:4)))]c∗
∗
(v)(cid:19) = (cid:18)v, H[FG0 ((cid:4))]v(cid:19),
((cid:4)))(cid:19) = (cid:18)(cid:4), ∇FG0((cid:4))(cid:19).
Hence, by Proposition 4.6, we get the following proposition.
PROPOSITION 5.2. Let G be a finite connected graph. The entropy norm (cid:21)(cid:2)(cid:21)h,G :
T M1(G) → R extends to a continuous semi-norm (cid:21)(cid:2)(cid:21)h,G : T M1
(G) → R. Specifically,
if c : G → G0 is a collapse and ((cid:4), v) = T c∗((cid:4)0, v0), then the extension satisfies
(cid:21)((cid:4), v)(cid:21)h,G = (cid:21)((cid:4)0, v0)(cid:21)h,G0.
Consequently, we see that the distance function dh,G extends to a distance function on
(G) and that the induced topology is the same as the subspace topology. As X1(Fr ) is
M1
locally finite, the metric topology agrees with the weak topology, as we now show.
THEOREM 5.3. The metric topology on (X1(Fr ), dh) is the same as the weak topology on
X1(Fr ).
Proof. Let U ⊆ X1(Fr ) be an open set in the weak topology and fix a marked metric graph
x = [(G, ρ, (cid:4))] ∈ U . There are finitely many marked graphs (G1, ρ1), . . . , (Gn, ρn) such
that (G, ρ) ≤ (Gi, ρi). By definition of the weak topology, the set U ∩ X1
(Gi, ρi) is open
in X1
, where Ei is the set of edges
for Gi. As remarked above after Proposition 5.2, this set is also open in the metric topology
induced by dh,Gi . Hence there is an (cid:15)i > 0 such that
(Gi, ρi) in the subspace topology inherited from R|(Ei )+|
≥0
{y ∈ X1
(Gi, ρi) | dh,Gi (x, y) < (cid:15)i} ⊆ U ∩ X1
(Gi, ρi).
Let (cid:15) = min{(cid:15)i | 1 ≤ i ≤ n}. As dh(x, y) ≤ dh,Gi (x, y) for any y ∈ X1
(Gi, ρi) we have
{y ∈ X1
(Fr ) | dh(x, y) < (cid:15)} ⊆
n(cid:5)
i=1
U ∩ X1
(Gi, ρi) ⊆ U .
Hence the metric topology is finer than the subspace topology.
Next, fix a marked metric graph x = [(G, ρ, (cid:4))] ∈ X1(Fr ) and let (cid:15) > 0. Enumerate
the finitely many marked graphs (G1, ρ1), . . . , (Gn, ρn) such that (G, ρ) ≤ (Gi, ρi) and
such that Gi is trivalent. In other words, (Gi, ρi) are maximal elements in the partial
order on marked graphs. As the norm varies continuously by Proposition 5.2, there is an
L and an open neighborhood V ⊆
(Gi, ρi) of x in the weak topology such that
≤ L whenever y ∈ X1
(cid:21)(y, v)(cid:21)h,Gi
(Gi) ∩ V and (cid:18)v, v(cid:19) = 1. Therefore, there is an open
neighborhood U of x in the weak topology such that
n
i=1
X1
(cid:23)
U ⊆ {y ∈ X1
(Fr ) | dh(x, y) < (cid:15)}.
Hence the subspace topology is finer than the metric topology.
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6. The entropy metric on X1(F2)
The goal of this section is to show that (X1(F2), dh) is complete. This appears as
Proposition 6.8 in §6.4. The results in this section are not necessary for the remainder
of the paper and can safely be skipped by a reader primarily interested in Theorems 1.2
and 1.3. However, the calculations can serve as a good introduction to estimating lengths
with the entropy metric. In particular, the main strategy in each of Lemmas 6.1, 6.3 and
6.5 is very similar to the main strategy of Lemma 7.10 in §7.3 which is the key tool used to
show that (M1(Rr ), dh,Rr ) has infinite diameter.
To begin, we analyze the metric for each of the three topological types of graphs
that appear in rank 2: the 2-rose R2, the barbell graph B2 and the theta graph (cid:5)2. We
refer the reader back to Figure 2 for these graphs. To this end, we define a continuous
function m : X1(F2) → R which is a slight variation of the volume function in that it
counts separating edges twice. In particular, it does not depend on the marking. The exact
definition appears in §6.4. The strategy is to show that for any path (cid:4)t : [0, 1] → M1(G)
for G ∈ {R2, B2, (cid:5)2}, if m((cid:4)0) and m((cid:4)1) are large enough, then the length of (cid:4)t
is
bounded below by
(cid:24)
(
1√
5
m((cid:4)1) −
(cid:24)
m((cid:4)0)).
These calculations appear in the next three sections (Propositions 6.2, 6.4, and 6.6).
Using these estimates, it is not too hard to see that if (xn)n∈N ⊂ X1(F2) is Cauchy, then
there is an L such that m(xn) ≤ L for all n (Lemma 6.7). From here, using local finiteness
of X1(F2) and a compactness argument, the completeness of (X1(F2), dh) follows. In the
calculations, we make use of Lemmas 4.7 and 4.8.
6.1. The 2-rose. Denote the edges of R2 by e1 and e2. To make the calculations in this
subsection easier to read, given a length function (cid:4) ∈ M(R2), we set a = (cid:4)(e1), b = (cid:4)(e2)
and m = (cid:4)(e1) + (cid:4)(e2). Applying the definition of F G from §4.2 to R2, we find the
formula
F R2((cid:4)) = 1 − exp(−a) − exp(−b) − 3 exp(−m).
(6.1)
LEMMA 6.1. Suppose (cid:4)t : [0, 1] → M1(R2) is a smooth path such that for all t ∈ [0, 1]
we have ˙mt > 0. If m0 ≥ 4, then
Lh,R2((cid:4)t |[0, 1]) ≥
√
m1 −
√
m0.
Proof. Suppose that (cid:4)t : [0, 1] → M1(R2) is a path where ˙mt > 0 as in the statement of
the lemma and assume that m0 ≥ 4. We reparametrize the path (cid:4)t so that mt = t.
Let nt = min{at , bt }. As F R2((cid:4)t ) = 0, we have
1 − 2 exp(−nt ) ≤ 1 − exp(−at ) − exp(−bt ) = 3 exp(−mt ) = 3 exp(−t).
In particular, 2 exp(−nt ) ≥ 1 − 3 exp(−t) ≥ 2 exp(−1) as t ≥ 4 and so nt < 1 for all t.
Setting pt = max{at , bt }, we find that pt = t − nt ≥ t − 1. Therefore, as t − 1 ≥ 1 for
t ≥ 4, the edge that realizes the minimum of {at , bt } does not depend on t and hence
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we may assume that bt = nt and that at = pt ≥ t − 1. This gives us that exp(−at ) ≤
exp(−t + 1). Hence, again as F R2((cid:4)t ) = 0, we have
1 − exp(−bt ) = exp(−at ) + 3 exp(−mt ) ≤ (exp(1) + 3) exp(−t) ≤ 8 exp(−t).
This enables us to give an upper bound on the denominator in the expression for the
entropy norm. Specifically, using the fact that x exp(−x) ≤ 1 − exp(−x) for x ≥ 0, we
have
(cid:18)(cid:4)t , ∇F R2((cid:4)t )(cid:19) = at exp(−at ) + bt exp(−bt ) + 3mt exp(−mt )
≤ t exp(−t + 1) + (1 − exp(−bt )) + 3t exp(−t)
≤ 8t exp(−t) + 8 exp(−t)
≤ 12t exp(−t).
In the final inequality we used that fact that t ≥ 4. The expression for (cid:18)(cid:4)t , ∇F R2((cid:4)t )(cid:19) can
be computed either directly from (6.1) or via Lemma 4.7.
Next, we get an upper bound on the numerator in the expression for the entropy norm
by just using mt . Specifically,
−(cid:18) ˙(cid:4)t , H[F R2((cid:4)t )] ˙(cid:4)t (cid:19) = ( ˙at )2 exp(−at ) + ( ˙bt )2 exp(−bt ) + 3( ˙mt )2 exp(−mt )
≥ 3 exp(−t).
As above, the expression for −(cid:18) ˙(cid:4)t , H[F R2((cid:4)t )] ˙(cid:4)t (cid:19) can be computed either directly from
(6.1) or via Lemma 4.8.
Hence we find that the entropy norm along this path is bounded below by
(cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)2
h,R2
=
−(cid:18) ˙(cid:4)t , H[F R2((cid:4)t )] ˙(cid:4)t (cid:19)
(cid:18)(cid:4)t , ∇F R2((cid:4)t )(cid:19)
≥ 1
4t
.
Therefore the length of this path in the entropy metric is at least
(cid:25)
(cid:13)
m1
m0
dt =
√
m1 −
√
m0.
1
4t
Using this lemma, we can get a lower bound on the distance between length functions in
M1(R2) in terms of the sum of the lengths of edges, so long as they are sufficiently large.
PROPOSITION 6.2. Suppose (cid:4) and (cid:4)(cid:17) are length functions in M1(R2) where m = (cid:4)(e1) +
(cid:4)(e2) and m(cid:17) = (cid:4)(cid:17)(e1) + (cid:4)(cid:17)(e2) are at least 4. Then
dh,R2((cid:4), (cid:4)
(cid:17)
) ≥
√
√
m(cid:17) −
m.
[0, 1] → M1(R2) be a piecewise smooth path such that (cid:4)0 = (cid:4) and
Proof. Let (cid:4)t :
(cid:4)1 = (cid:4)(cid:17). Let δ ∈ [0, 1] be the minimal value such that mt ≥ 4 for t ∈ [δ, 1]. In particular,
mδ ≤ m.
By only considering the smooth subpaths of (cid:4)t |[δ, 1] for which ˙mt > 0, by Lemma 6.1,
we find that
Lh,R2((cid:4)t |[δ, 1]) ≥
√
m(cid:17) −
√
mδ ≥
√
m(cid:17) −
√
m.
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This also provides a lower bound on Lh,R2((cid:4)t |[0, 1]). Since the path was arbitrary this also
is a lower bound on the distance between (cid:4) and (cid:4)(cid:17).
6.2. The barbell graph. Let B2 denote the graph with vertices v and w, and edges e1, e2
and e3 where o(e1) = τ (e1) = v, o(e2) = τ (e2) = w, and o(e3) = v and τ (e3) = w. To
make the calculations in this section easier to read, given a length function (cid:4) ∈ M(B2), we
set a = (cid:4)(e1), b = (cid:4)(e2) and m = (cid:4)(e1) + (cid:4)(e2) + 2(cid:4)(e3). Applying the definition of F G
from §4.2 to B2, we find the formula
F B2((cid:4)) = (1 − exp(−a))(1 − exp(−b)) − 4 exp(−m).
LEMMA 6.3. Suppose (cid:4)t : [0, 1] → M1(B2) is a smooth path such that for all t ∈ [0, 1]
we have ˙mt > 0. If m0 ≥ 4, then
Lh,B2((cid:4)t |[0, 1]) ≥ 1√
2
√
(
m1 −
√
m0).
Proof. Suppose that (cid:4)t : [0, 1] → M1(B2) is a path where ˙mt > 0 as in the statement of
the lemma and assume that m0 ≥ 4. We reparametrize the path (cid:4)t so that mt = t.
As F B2((cid:4)t ) = 0, we have
(1 − exp(−at ))(1 − exp(−bt )) = 4 exp(−mt ) = 4 exp(−t).
(6.2)
This enables us to give an upper bound on the denominator in the expression for the entropy
norm. Specifically, using the fact that x exp(−x) ≤ 1 − exp(−x) for x ≥ 0, we have
(cid:18)(cid:4)t , ∇F B2((cid:4)t )(cid:19) = at exp(−at )(1 − exp(−bt ))
+ bt exp(−bt )(1 − exp(−at )) + 4mt exp(−mt )
≤ 2(1 − exp(−at ))(1 − exp(−bt )) + 4t exp(−t)
= 4t exp(−t) + 8 exp(−t)
≤ 8t exp(−t).
The penultimate line follows from (6.2), and in the final inequality we use the fact that
t ≥ 4.
Next, we get a lower bound on the numerator in the expression for the entropy norm.
We claim that −(cid:18) ˙(cid:4)t , H[F B2((cid:4)t )] ˙(cid:4)t (cid:19) ≥ ( ˙mt )2 exp(−mt ). We have that
−(cid:18) ˙(cid:4)t , H[F B2((cid:4)t )] ˙(cid:4)t (cid:19) = ( ˙at )2 exp(−at )(1 − exp(−bt )) + ( ˙bt )2 exp(−bt )(1 − exp(−at ))
− 2 ˙at
˙bt exp(−at − bt ) + 4( ˙mt )2 exp(−mt ).
Therefore if ˙at
assume that ˙at and ˙bt have the same sign. As (cid:18) ˙(cid:4)t , ∇F B2((cid:4)t )(cid:19) = 0, we have that
˙bt < 0 then each term is positive and so the claim holds. Therefore, we
4 ˙mt exp(−mt ) = − ˙at exp(−at )(1 − exp(−bt )) − ˙bt exp(−bt )(1 − exp(−at )).
We write this equation as w = u + v. As F B2((cid:4)t ) = 0, we find that
2uv = 2 ˙at
= 2 ˙at
˙bt exp(−at ) exp(−bt )(1 − exp(−at ))(1 − exp(−bt ))
˙bt exp(−at − bt )(4 exp(−mt )).
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As 2xy ≤ 3
4 (x + y)2 for all x and y, we find that
2 ˙at
˙bt exp(−at − bt )(4 exp(−mt )) ≤ 3
4 (4 ˙mt exp(−mt ))2 = 3( ˙mt )2(4 exp(−2mt )).
Therefore 2 ˙at
furthermore that
˙bt exp(−at − bt ) ≤ 3( ˙mt )2 exp(−mt ). From this the claim now follows, and
−(cid:18) ˙(cid:4)t , H[F B2((cid:4)t )] ˙(cid:4)t (cid:19) ≥ ( ˙mt )2 exp(−mt ) = exp(−t).
Hence we find that the entropy norm along this path is bounded below by
(cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)2
h,B2
=
−(cid:18) ˙(cid:4)t , H[F B2((cid:4)t )] ˙(cid:4)t (cid:19)
(cid:18)(cid:4)t , ∇F B2 ((cid:4)t )(cid:19)
≥ 1
8t
.
Therefore the length of this path in the entropy metric is at least
(cid:25)
(cid:13)
m1
m0
1
8t
dt = 1√
2
√
(
m1 −
√
m0).
As for the 2-rose, we obtain the following proposition.
PROPOSITION 6.4. Suppose (cid:4) and (cid:4)(cid:17) are length functions in M1(B2) where m = (cid:4)(e1) +
(cid:4)(e2) + 2(cid:4)(e3) and m(cid:17) = (cid:4)(cid:17)(e1) + (cid:4)(cid:17)(e2) + 2(cid:4)(cid:17)(e3) are at least 4. Then
dh,B2((cid:4), (cid:4)
(cid:17)
) ≥ 1√
2
√
(
m(cid:17) −
√
m).
6.3. The theta graph. Let (cid:5)2 denote the graph with vertices v and w, and edges e1, e2
and e3 where o(ei) = v and τ (ei) = w for i ∈ {1, 2, 3}. To make the calculations in this
section easier to read, given a length function (cid:4) ∈ M((cid:5)2), we set a = (cid:4)(e1) + (cid:4)(e2), b =
(cid:4)(e2) + (cid:4)(e3), c = (cid:4)(e3) + (cid:4)(e1) and m = (cid:4)(e1) + (cid:4)(e2) + (cid:4)(e3). Applying the definition
of F G from §4.2 to (cid:5)2, we find the formula
F (cid:5)2((cid:4)) = 1 − exp(−a) − exp(−b) − exp(−c) − 2 exp(−m).
LEMMA 6.5. Suppose (cid:4)t : [0, 1] → M1((cid:5)2) is a smooth path such that for all t ∈ [0, 1]
we have ˙mt > 0. If m0 ≥ 4, then
Lh,(cid:5)2((cid:4)t |[0, 1]) ≥ 1√
5
√
(
m1 −
√
m0).
Proof. Suppose that (cid:4)t : [0, 1] → M1((cid:5)2) is a path where ˙mt > 0 as in the statement of
the lemma and assume that m0 ≥ 4. We reparametrize the path (cid:4)t so that mt = t.
Let nt = min{at , bt , ct }. As F (cid:5)2((cid:4)t ) = 0, we have
1 − 3 exp(−nt ) ≤ 1 − exp(−at ) − exp(−bt ) − exp(−ct ) = 2 exp(−mt ) = 2 exp(−t).
In particular, 3 exp(−nt ) ≥ 1 − 2 exp(−t) > 3 exp(−2) as t ≥ 4 and thus nt < 2 for all t.
Setting pt = max{at , bt , ct } and qt = at + bt + ct − pt − nt so that {pt , qt , nt } =
{at , bt , ct } for all
t, we find that pt , qt ≥ t − 2 as pt + qt = 2t − nt ≥ 2t − 2 and
pt , qt ≤ t. Therefore, as t − 2 ≥ 2 for t ≥ 4, the cycle that realizes the minimum of
{at , bt ct } does not depend on t and therefore we may assume that ct = min{at , bt , ct }
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and thus at , bt ≥ t − 2. Therefore exp(−at ), exp(−bt ) ≤ exp(−t + 2). Hence, again as
F (cid:5)2((cid:4)t ) = 0, we have
1 − exp(−ct ) = exp(−at ) + exp(−bt ) + 2 exp(−mt )
≤ (2 exp(2) + 2) exp(−t) ≤ 20 exp(−t).
This enables us to give an upper bound on the denominator in the expression for the
entropy norm. Specifically, using the fact that x exp(−x) ≤ 1 − exp(−x) for x ≥ 0, we
have
(cid:18)(cid:4)t , ∇F (cid:5)2 ((cid:4)t )(cid:19) = at exp(−at ) + bt exp(−bt ) + ct exp(−ct ) + 2mt exp(−mt )
≤ at exp(−at ) + bt exp(−bt ) + 1 − exp(−ct ) + 2mt exp(−mt )
≤ t exp(−t + 2) + t exp(−t + 2) + 20 exp(−t) + 2t exp(−t)
≤ 20t exp(−t) + 20 exp(−t)
≤ 40t exp(−t).
In the final inequality we used the fact that t ≥ 4.
Next, we get a lower bound on the numerator in the expression for the entropy norm by
just using mt . Specifically,
−(cid:18) ˙(cid:4)t , H[F (cid:5)2((cid:4)t )] ˙(cid:4)t (cid:19) = ( ˙at )2 exp(−at ) + ( ˙bt )2 exp(−bt )
+ ( ˙ct )2 exp(−ct ) + 2( ˙mt )2 exp(−mt )
≥ 2 exp(−t).
Hence we find that the entropy norm along this path is bounded below by
(cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)2
h,(cid:5)2
=
−(cid:18) ˙(cid:4)t , H[F (cid:5)2((cid:4)t )] ˙(cid:4)t (cid:19)
(cid:18)(cid:4)t , ∇F (cid:5)2 ((cid:4)t )(cid:19)
≥ 1
20t
.
Therefore the length of this path in the entropy metric is at least
(cid:25)
(cid:13)
m1
m0
1
20t
dt = 1√
5
√
(
m1 −
√
m0).
Again, as for the 2-rose, we obtain the following proposition.
PROPOSITION 6.6. Suppose (cid:4) and (cid:4)(cid:17) are length functions in M1((cid:5)2) where m = (cid:4)(e1) +
(cid:4)(e2) + (cid:4)(e3) and m(cid:17) = (cid:4)(cid:17)(e1) + (cid:4)(cid:17)(e2) + (cid:4)(cid:17)(e3) are at least 4. Then
dh,(cid:5)2 ((cid:4), (cid:4)
(cid:17)
) ≥ 1√
5
√
(
m(cid:17) −
√
m).
6.4. (X1(F2), dh) is complete. We can now prove the main result of this section that the
entropy metric on X1(F2) is complete. Given a marked metric graph x = [(G, ρ, (cid:4))] in
X1(F2), we let
m(x) =
⎧
⎪⎪⎨
(cid:4)(e1) + (cid:4)(e2)
(cid:4)(e1) + (cid:4)(e2) + 2(cid:4)(e3)
⎪⎪⎩
(cid:4)(e1) + (cid:4)(e2) + (cid:4)(e3)
if G = R2,
if G = B2,
if G = (cid:5)2
We remark that m : X1(F2) → R is an Out(F2)-invariant continuous function.
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LEMMA 6.7. Let (xn)n∈N be a Cauchy sequence in (X1(F2), dh). Then there is an L such
that m(xn) ≤ L for all n.
Proof. Suppose that (xn)n∈N is a sequence in X1(F2) such that m(xn) → ∞. We will
show that (xn)n∈N is not Cauchy by showing that lim sup dh(x1, xn) = ∞.
m(xn) ≥
m.
Consider a path αt : [0, 1] → X1(F2) such that α0 = x1 and α1 = xn. Let δ ∈ [0, 1] be
the minimal value such that m(αt ) ≥ 4 for all t ∈ [δ, 1]. In particular, m(αδ) ≤ m.
Let m = max{m(x1), 4}. Given N ≥ 0, we let n be such that
5N +
√
√
√
Combining Propositions 6.2, 6.4 and 6.6, we find that
(cid:24)
m(αδ)) ≥ 1√
5
Lh(αt |[δ, 1]) ≥ 1√
5
m(xn) −
(cid:24)
(
(cid:24)
(
m(xn) −
√
m) ≥ N.
This also provides a lower bound on Lh(αt |[0, 1]). Since the path was arbitrary, this also
is a lower bound on dh(x1, xn).
Therefore dh(x1, xn) ≥ N, showing that lim sup dh(x1, xn) = ∞ as claimed.
Given L ≥ 0, we set X1
L(F2) = {x ∈ X1(F2) | m(x) ≤ L}, and additionally, given a
L(F2). We remark that
L(G, ρ) = X1(G, ρ) ∩ X1
marked graph ρ : R2 → G, we set X1
the closure of X1
L(G, ρ) is compact. As X1(F2) is locally finite and there are only
finitely many topological types of graphs, the following statement holds. For all L, D ≥ 0,
there is an N such that if x ∈ X1
L(F2) then there is a collection of marked graphs
(G1, ρ1), . . . , (GN , ρN ) such that
{x
(cid:17) ∈ X1
L(F2) | dh(x, x
(cid:17)
) ≤ D} ⊆
N(cid:5)
k=1
X1
L(Gk, ρk).
PROPOSITION 6.8. The metric space (X1(F2), dh) is complete.
Proof. Let (xn)n∈N be a Cauchy sequence in (X1(F2), dh). By Lemma 6.7, there is an L
L(F2). Let n0 be such that dh(xn, xm) ≤ 1 if n, m ≥ n0. By the above
such that (xn) ⊂ X1
remark, there are finitely marked graphs (G1, ρ1), . . . , (GN , ρN ) such that
{xn|n ≥ n0} ⊂ {x
(cid:17) ∈ X1
L(F2) | dh(xn0, x
(cid:17)
) ≤ 1} ⊆
N(cid:5)
k=1
X1
L(Gk, ρk).
As the closure of this set in X1(F2) is compact, the sequence (xn)n∈N converges.
7. The moduli space of the rose
The purpose of this section is to examine the entropy metric on the moduli space of an
r-rose M1(Rr ). We begin in §7.1 by computing the function F Rr introduced in §4.2. For
the r-rose, we can strengthen Proposition 4.13 and conclude that M1(Rr ) equals the set of
length functions (cid:4) for which F Rr ((cid:4)) = 0. Next, in §7.2 we show that (M1(Rr ), dh,Rr ) for
r ≥ 3 is not complete by producing paths that have finite length yet no accumulation point.
Lastly, in §7.3 we show that (M1(Rr ), dh,Rr ) has infinite diameter. Specifically, a path that
shrinks the length of an edge to zero necessarily has infinite length.
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7.1. M1(Rr ) as a zero locus.
In this section we compute the function F Rr . This appears
as Proposition 7.3. In Proposition 7.5 we prove that M1(Rr ) = {(cid:4) ∈ M(Rr ) | F Rr ((cid:4)) = 0};
this strengthens Proposition 4.13 in this setting.
First we set some notation for working with the graph Rr . We identify the unoriented
edges of Rr with the set [r] = {1, 2, . . . , r}. To simplify the expressions, we will use r
as the identifying subscript rather than Rr and we will use variables (cid:4) = ((cid:4)1, . . . , (cid:4)r )
to denote the length of the unoriented edges. The matrix Ar,(cid:4) ∈ Matr (R) has rows and
columns indexed by [r], and we have
Ar,(cid:4)(i, j ) = exp(−(cid:4)i)(2 − δ(i, j ))
(7.1)
where δ((cid:2), (cid:2)) is the Kronecker delta function.
For the calculations in this section, we need the following combinatorial identities.
LEMMA 7.1. For any r ≥ 1 and any x ∈ R, the following equations hold:
(1 + x)r−1(x − (2r − 1)) = xr
(1 + x)r−1(x + (2r + 1)) = xr
(cid:9)
r(cid:4)
k=0
r(cid:4)
(cid:9)
(cid:10)
(cid:10)
r
k
r
k
(1 − 2k)x
−k,
(1 + 2k)x
−k.
(7.2)
(7.3)
Proof. Differentiate the equation (1 + x)r =
(cid:31)
(cid:30)
(cid:7)
the equality rx(1 + x)r−1 =
r
r
k=0(r − k)
k
xr−k and multiply it by x to obtain
k=0
(cid:30)
(cid:31)
(cid:7)
r
k=0
r
k
xr−k. Therefore
(cid:9)
(cid:10)
r(cid:4)
k=0
− 2r
r(cid:4)
k=0
r
k
(cid:9)
(cid:10)
r
k
(cid:9)
r(cid:4)
k=0
xr−k +
(cid:10)
r
k
=
(1 − 2k)
xr−k = xr
r(cid:4)
k=0
(cid:9)
2k
(cid:10)
r
k
(cid:10)
(cid:9)
r
k
r(cid:4)
k=0
xr−k
xr−k
(cid:9)
(1 − 2k)
(cid:10)
r
k
−k.
x
r(cid:4)
k=0
2rx(1 + x)r−1 − (2r − 1)(1 + x)r = 2r
xr−k −
The left-hand side in the above equation simplifies to (1 + x)r−1(x − (2r − 1)). This
shows (7.2). In a similar manner one can derive (7.3).
COROLLARY 7.2. For any r ≥ 1,
(cid:9)
r(cid:4)
k=0
(cid:10)
r
k
(1 − 2k)(2r − 1)
−k = 0.
(7.4)
Proof. Evaluate equation (7.2) with x = 2r − 1. The left-hand side becomes 0. Dividing
the resulting equation by (2r − 1)r , we obtain (7.4).
Given a length function (cid:4) = ((cid:4)1, . . . , (cid:4)n) ∈ M(Rr ) and a subset S ⊆ [r], we define
(cid:7)
(cid:4)S =
k∈S (cid:4)k. In particular, we have (cid:4)∅ = 0.
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PROPOSITION 7.3. For any r ≥ 2 and any length function (cid:4) ∈ M(Rr ),
F r ((cid:4)) =
(1 − 2|S|) exp(−(cid:4)S).
(7.5)
(cid:4)
S⊆[r]
Proof. Using the expansion of the determinant via permutations of [r], we can express
F r ((cid:4)) = det(I − Ar,(cid:4)) as
(cid:4)
F r ((cid:4)) =
cS,r exp(−(cid:4)S)
S⊆[r]
for some coefficients cS,r ∈ R depending on the subset S ⊆ [r] and the rank r. Further,
it is apparent that the coefficient cS,r only depends on the cardinality of S. It remains to
determine these coefficients. We will do so by induction.
For r = 2, we compute
F 2((cid:4)1, (cid:4)2) = det
(cid:8)
1 − exp(−(cid:4)1) −2 exp(−(cid:4)1)
−2 exp(−(cid:4)2)
1 − exp(−(cid:4)2)
(cid:11)
= 1 − exp(−(cid:4)1) − exp(−(cid:4)2) − 3 exp(−(cid:4)1 − (cid:4)2).
This shows the proposition for r = 2.
Suppose r ≥ 3 and that the proposition holds for r − 1. That is, we assume that
cS,r−1 = 1 − 2|S| for any S ⊆ [r − 1]. Since cS,r only depends on the cardinality of S,
this implies that cS,r = 1 − 2|S| for any S ⊆ [r] where |S| < r as well. Hence it only
remains to compute c[r],r .
h
To compute c[r],r , we make use of Corollary 7.2. Indeed, by Example 3.3, we have
r (log(2r − 1) · 1) = 1. Therefore, by Proposition 4.13, we obtain F r (log(2r − 1) · 1) = 0.
Hence
0 = F r (log(2r − 1) · 1)
(cid:4)
(1 − 2|S|) exp(−|S| log(2r − 1)) + c[r],r exp(−r log(2r − 1))
=
=
S⊂[r]
(cid:9)
r−1(cid:4)
k=0
(cid:10)
r
k
(1 − 2k)(2r − 1)
−k + c[r],r (2r − 1)
−r .
By Corollary 7.2, we find that c[r],r = 1 − 2r as desired.
Example 7.4. For r = 2 and r = 3, using the coordinates x = exp(−(cid:4)1), y = exp(−(cid:4)2)
and z = exp(−(cid:4)3), we find
F 2((cid:4)1, (cid:4)2) = 1 − x − y − 3xy,
F 3((cid:4)1, (cid:4)2, (cid:4)3) = 1 − x − y − z − 3xy − 3xz − 3yz − 5xyz.
Figure 5 shows M1(Rr ) as a subset of M(Rr ) for r = 2 and r = 3.
Using Proposition 7.3, we can provide a strengthening of Proposition 4.13 for the r-rose.
PROPOSITION 7.5. For any r ≥ 2, the unit-entropy moduli space M1(Rr ) equals the level
set {(cid:4) ∈ M(Rr ) | F r ((cid:4)) = 0}.
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8
6
b
4
2
0
0
2
4
a
6
8
FIGURE 5. The hypersurfaces M1(Rr ) for the roses with 2 and 3 petals.
Proof. By Proposition 4.13, we have that M1(Rr ) ⊆ {(cid:4) ∈ M(Rr ) | F r ((cid:4)) = 0}. Suppose
that F r ((cid:4)) = 0 for some (cid:4) ∈ M(Rr ). Set h = h
r ((cid:4)). We need to show that h = 1.
Consider the function p : R>0 → R defined by p(t) = F r (t · (cid:4)). We have p(1) =
r (h · (cid:4)) = 1, we have p(h) = F r (h · (cid:4)) = 0 as well by Proposition 4.13.
F r ((cid:4)) = 0. As h
Using the expression for F r ((cid:4)) derived in Proposition 7.3, we compute that
(cid:4)
(cid:17)
p
(t) =
(2|S| − 1)(cid:4)S exp(−t · (cid:4)S).
S⊆[r]
S(cid:16)=∅
Therefore p(cid:17)(t) > 0 for all t ∈ R>0. As p(h · (cid:4)) = 0 = p((cid:4)), we must have that h · (cid:4) = (cid:4)
and hence h = 1.
7.2. Finite-length paths in M1(Rr ) for r ≥ 3. Using the computation of F r ,
in
Proposition 7.8 we will compute the length of the path in M1(Rr ) starting at
log(2r − 1) · 1 that blows up the length of one edge while shrinking the lengths of the
others at the same rate. As we will show, when r is at least 3, this path has finite length
and thus the moduli space (M1(Rr ), dh,Rr ) is not complete for r ≥ 3.
Before we begin, it is useful to introduce the following functions Xi, Yi : M(Rr ) → R
for each i ∈ [r]:
Xi((cid:4)) =
Yi((cid:4)) =
(cid:4)
(1 − 2|S|) exp(−(cid:4)S),
S⊆[r]−{i}
(cid:4)
(1 + 2|S|) exp(−(cid:4)S).
S⊆[r]−{i}
(7.6)
(7.7)
Both Xi and Yi are constant with respect to (cid:4)i. Using these functions, we can isolate the
terms in F r ((cid:4)) in which (cid:4)i appears and write
F r ((cid:4)) = Xi((cid:4)) − exp(−(cid:4)i)Yi((cid:4)).
(7.8)
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Hence for (cid:4) ∈ M1(Rr ), as F r ((cid:4)) = 0 we can solve for (cid:4)i and write
(cid:4)i = log
(cid:9)
(cid:10)
Yi((cid:4))
Xi((cid:4))
.
(7.9)
Further, we find the following expression for the partial derivative of F r ((cid:4)) with
respect to (cid:4)i:
∂iF r ((cid:4)) = exp(−(cid:4)i)Yi((cid:4)).
We observe the following inequalities for any (cid:4) ∈ M1(Rr ).
LEMMA 7.6. Let r ≥ 2 and let (cid:4) ∈ M1(Rr ). Then
0 < Xi((cid:4)) < 1,
1 < Yi((cid:4)) < 4.
(7.10)
(7.11)
(7.12)
Proof. For (7.11), we first note that Xi((cid:4)) = exp(−(cid:4)i)Yi((cid:4)) for all (cid:4) ∈ M1(Rr ) by
Proposition 4.13 and (7.8). Since every term in Yi((cid:4)) has a positive coefficient, we find
that 0 < Xi((cid:4)). As the term in Xi((cid:4)) corresponding to S = ∅ is 1 and all other terms have
negative coefficients, we find Xi((cid:4)) < 1.
For (7.12), we have that the term in Yi((cid:4)) corresponding to S = ∅ is 1 and all
other terms have positive coefficients, thus 1 < Yi((cid:4)). The terms in 1 − Xi((cid:4)) and
Yi((cid:4)) − 1 correspond to the non-empty subsets S ⊆ [r] − {i}. The coefficient for the term
corresponding to S in 1 − Xi((cid:4)) is
2|S| + 1
2|S| − 1
times the coefficient for the same term in Yi((cid:4)) − 1. As this ratio is bounded by 3, we find
that Yi((cid:4)) − 1 ≤ 3(1 − Xi((cid:4))). Hence, as 1 − Xi((cid:4)) < 1 by (7.11), we have Yi((cid:4)) − 1 < 3
and so Yi((cid:4)) < 4.
We record the following calculation.
LEMMA 7.7. Let r ≥ 2, and let (cid:4) ∈ M1(Rr ) be such that (cid:4)i = log(L) for i ∈ [r − 1] for
some L > 2r − 3. Then
(cid:4)r = log
(cid:9)
(cid:10)
L + (2r − 1)
L − (2r − 3)
.
(7.13)
Proof. For any S ⊆ [r − 1] we have exp(−(cid:4)S) = exp(−|S| log L) = L−|S|. Hence, by
Lemma 7.1, we have that
(cid:9)
(cid:10)
r − 1
k
Xr ((cid:4)) =
Yr ((cid:4)) =
r−1(cid:4)
k=0
r−1(cid:4)
(cid:9)
k=0
(1 − 2k)L
−k = L
−r+1(L + 1)r−2(L − (2r − 3)),
(cid:10)
r − 1
k
(1 + 2k)L
−k = L
−r+1(L + 1)r−2(L + (2r − 1)).
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Therefore, by (7.9), we find that
(cid:4)r = log
(cid:9)
Yr ((cid:4))
Xr ((cid:4))
(cid:10)
(cid:9)
= log
L + (2r − 1)
L − (2r − 3)
(cid:10)
.
For any r ≥ 3, we will construct a path (cid:4)t : [0, 1) → M1(Rr ) that has finite length and
the property that (cid:4)r
t
→ ∞ as t → 1−.
PROPOSITION 7.8. Fix r ≥ 3 and let Nt = 2(r − t) − 1. Let (cid:4)t : [0, 1) → M1(Rr ) be the
→ ∞
smooth path where (cid:4)i
t
as t → 1−.
= log(Nt ) for i ∈ [r − 1]. Then Lh,r ((cid:4)t |[0, 1)) is finite and (cid:4)r
t
Proof. Let (cid:4)t : [0, 1) → M1(Rr ) be as in the statement. Using Lemma 7.7, we find that
(cid:9)
(cid:10)
(cid:4)r
t
= log
2r − 1 − t
1 − t
.
In particular, we have (cid:4)r
t
→ ∞ when t → 1− as claimed.
We first provide a lower bound on (cid:18)(cid:4)t , ∇F r ((cid:4)t )(cid:19). This is the denominator of the
expression for the entropy norm in Proposition 4.14. Using the expressions for the
partial derivatives for F r ((cid:4)t ) in (7.10), the fact that 1 < Yi((cid:4)t ) from (7.12) and that
t exp(−(cid:4)r
(cid:4)r
t )Yr ((cid:4)t ) > 0, we have that
(cid:18)(cid:4)t , ∇F r ((cid:4)t )(cid:19) =
r(cid:4)
i=1
t exp(−(cid:4)i
(cid:4)i
t )Yi((cid:4)t ) >
r−1(cid:4)
i=1
t exp(−(cid:4)i
(cid:4)i
t ) = (r − 1)
log(Nt )
Nt
.
As log(Nt ) ≥ log(N1) and Nt ≤ N0 for all t ∈ [0, 1], we conclude that
(cid:18)(cid:4)t , ∇F r ((cid:4)t )(cid:19) > (r − 1)
log(Nt )
Nt
≥ (r − 1)
log(N1)
N0
= (r − 1)
log(2r − 3)
2r − 1
.
(7.14)
Next, we provide an upper bound on (cid:18) ¨(cid:4)t , ∇F r ((cid:4)t )(cid:19). This is the numerator of the
expression for the entropy norm in Proposition 4.14. To do so, we compute that
¨(cid:4)i
t
= − 4
N 2
t
,
for i ∈ [r − 1], and ¨(cid:4)r
t
= −
1
(2r − 1 − t)2
+
1
(1 − t)2 .
t exp(−(cid:4)i
In particular, ¨(cid:4)i
t < 1/(1 − t)2. Combining these
with the expressions for the partial derivatives for F r ((cid:4)t ) in (7.10) and the fact that
Yi((cid:4)t ) < 4 (7.12), we have that
t )Yi((cid:4)t ) < 0 for i ∈ [r − 1] and ¨(cid:4)r
(cid:18) ¨(cid:4)t , ∇F r ((cid:4)t )(cid:19) =
r(cid:4)
¨(cid:4)i
t exp(−(cid:4)i
t )Yi((cid:4)t )
i=1
< ¨(cid:4)r
t exp(−(cid:4)r
1
(1 − t)2
<
·
t )Yi((cid:4)t )
1 − t
2r − 1 − t
· 4 ≤ 2
r − 1
·
1
1 − t
.
(7.15)
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Proposition 4.14, together with the bounds appearing in (7.14) and (7.15), implies that
(cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)2
h,Rr
=
(cid:18) ¨(cid:4)t , ∇F r ((cid:4)t )(cid:19)
(cid:18)(cid:4)t , ∇F r ((cid:4)t )(cid:19)
≤
2(2r − 1)
(r − 1)2 log(2r − 3)
·
1
1 − t
.
Therefore, the entropy length of the path (cid:4)t : [0, 1) → M1(Rr ) is finite as claimed.
As a consequence, we obtain that M1(Rr ) is not complete when r ≥ 3.
PROPOSITION 7.9. For any r ≥ 3, the moduli space (M1(Rr ), dh,Rr ) is not complete.
In §8 we will use Proposition 7.8 to show that (X1(Fr ), dh) is not complete as well
when r ≥ 3.
7.3. The diameter of M1(Rr ) is infinite.
In this subsection we show that (M1(Rr ), dh,Rr )
has infinite diameter by showing that any path that shrinks an edge to 0 has infinite length.
Before we begin, it is useful to introduce the following functions. For distinct i, j ∈ [r],
we define
(cid:4)
Xij ((cid:4)) =
Yij ((cid:4)) =
(1 + 2|S|) exp(−(cid:4)S),
S⊆[r]−{i,j }
(cid:4)
(3 + 2|S|) exp(−(cid:4)S).
S⊆[r]−{i,j }
(7.16)
(7.17)
As in Lemma 7.6, we observe that, for any (cid:4) ∈ M1(Rr ), we have
3 < Yij ((cid:4)) < 3Yi((cid:4)) < 12.
Notice that both Xij and Yij are constant with respect to both (cid:4)i and (cid:4)j . For any distinct
i, j ∈ [r], these functions allow us to write
(7.18)
Yi((cid:4)) = Xij ((cid:4)) + exp(−(cid:4)j )Yij ((cid:4)).
(7.19)
Using (7.19) plus the expressions for the partial derivatives for F r ((cid:4)) in (7.10), we find the
following expressions for the second partial derivatives of F r ((cid:4)):
∂iiF r ((cid:4)) = − exp(−(cid:4)i)Yi((cid:4)),
∂ij F r ((cid:4)) = − exp(−(cid:4)i − (cid:4)j )Yij ((cid:4))
for i (cid:16)= j .
(7.20)
(7.21)
The following technical lemma is the main tool for estimating length. Intuitively, it says
that when one of the edge lengths—(cid:4)r in the statement—is short, the length of a path
is bounded below by the difference in the square roots of the lengths of second shortest
edge—(cid:4)1 in the statement—at the endpoints of the path. In the statement below, shortness
of (cid:4)r is guaranteed by taking (cid:4)1 large enough.
LEMMA 7.10. Let r ≥ 2. There is an Lr with the following property. Suppose (cid:4)t : [0, 1] →
M1(Rr ) is a piecewise smooth path such that, for all t ∈ [0, 1]:
(1)
(2)
(3)
= min{(cid:4)i
t
≥ Lr ; and
| i ∈ [r − 1]};
(cid:4)1
t
(cid:4)1
0
˙(cid:4)1
t > 0.
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Then
Lh,Rr ((cid:4)t |[0, 1]) ≥
(cid:30)
B1(cid:4)1
1
1
√
2B1
2
+ B2 −
B1(cid:4)1
0
+ B2
(cid:31)
where B1 = 4(r − 1) and B2 = 2r+3(2r − 1).
Proof. Let (cid:4)t : [0, 1] → M1(Rr ) be as in the statement. By (3) we may reparametrize the
path so that (cid:4)1
t
= t. Let Lr be large enough so that
max{2r (2r − 3) exp(−Lr ), 288r exp(−Lr )} ≤ 1.
The method of proof is similar to the calculations performed in §6. Specifically, using
the expression
(cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)2
h,Rr
=
−(cid:18) ˙(cid:4)t , H[F r ((cid:4)t )] ˙(cid:4)t (cid:19)
(cid:18)(cid:4)t , ∇F r ((cid:4)t )(cid:19)
(7.22)
from Proposition 4.14, we show that the square of the entropy norm along this path is
bounded from below by 1/2(B1t + B2). This is done by showing that the denominator is
bounded from above by exp(−t)(B1t + B2) in (7.27), and that the numerator is bounded
from below by 1
2 exp(−t) in (7.33).
We first provide the upper bound on (cid:18)(cid:4)t , ∇F r ((cid:4)t )(cid:19).
As (cid:4)i
t
= t for all i ∈ [r − 1], we have that exp(−(cid:4)S
t ) ≤ exp(−t) for all non-empty
subsets S ⊆ [r − 1]. Since 1 − 2|S| ≥ −(2r − 3) for any non-empty subset S ⊆ [r − 1],
using the definition of Xi((cid:4)t ) in (7.6) we have that
≥ (cid:4)1
t
(1 − 2|S|) exp(−(cid:4)S
t ) ≥ 1 − 2r−1(2r − 3) exp(−t).
(7.23)
(cid:4)
S⊆[r−1]
Xr ((cid:4)t ) =
Therefore
1 − Xr ((cid:4)t ) ≤ 2r−1(2r − 3) exp(−t).
As t ≥ Lr we additionally find that
Xr ((cid:4)t ) ≥ 1
2 .
(7.24)
(7.25)
As 0 < Xr ((cid:4)t ) < 1 by (7.11) and − log(1 − x) ≤ x/(1 − x) for all 0 < x < 1, using (7.24)
and (7.25), we find that
− log(Xr ((cid:4)t )) = − log(1 − (1 − Xr ((cid:4)t ))) ≤ 1 − Xr ((cid:4)t )
Xr ((cid:4)t )
≤ 2r (2r − 3) exp(−t).
Similarly, as 1 < Yr ((cid:4)t ) by (7.12) and log(x) ≤ x − 1 for all x ≥ 1, using the definition of
Yi((cid:4)t ) from (7.7), we have that
(1 + 2|S|) exp(−(cid:4)S
t ) ≤ 2r−1(2r − 1) exp(−t).
log(Yr ((cid:4)t )) ≤ Yr ((cid:4)t ) − 1 =
Thus by (7.9), we find
(cid:4)
S⊆[r−1]
S(cid:16)=∅
(cid:4)r
t
= log(Yr ((cid:4)t )) − log(Xr ((cid:4)t )) ≤ 2r+1(2r − 1) exp(−t).
(7.26)
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As x exp(−x) is decreasing for x > 1, we have that (cid:4)i
t ) =
t exp(−t) for i ∈ [r − 1]. Using the expressions for the partial derivatives of F r ((cid:4)t ) in
(7.10) and the fact that Yi((cid:4)t ) < 4 from (7.12), we have that
t exp(−(cid:4)1
t exp(−(cid:4)i
t ) ≤ (cid:4)1
(cid:18)(cid:4)t , ∇F r ((cid:4)t )(cid:19) =
r(cid:4)
i=1
t exp(−(cid:4)i
(cid:4)i
t )Yi((cid:4)t )
< 4((r − 1)t exp(−t) + (cid:4)r
t ))
≤ 4 exp(−t)((r − 1)t + 2r+1(2r − 1)).
t exp(−(cid:4)r
As defined above, we have that B1 = 4(r − 1) and B2 = 2r+3(2r − 1). Hence
(cid:18)(cid:4)t , ∇F r ((cid:4)t )(cid:19) ≤ exp(−t)(B1t + B2).
(7.27)
Next we provide a lower bound on −(cid:18) ˙(cid:4)t , H[F r ((cid:4)t )] ˙(cid:4)t (cid:19). Using the expressions for the
second partial derivatives of F r ((cid:4)t ) in (7.20) and (7.21), we have that
−(cid:18) ˙(cid:4)t , H[F r ((cid:4)t )] ˙(cid:4)t (cid:19) =
r(cid:4)
( ˙(cid:4)i
t )2 exp(−(cid:4)i
t )Yi((cid:4)t ) +
i=1
r−1(cid:4)
r(cid:4)
i=1
j =i+1
2 ˙(cid:4)i
t
˙(cid:4)j
t exp(−(cid:4)i
t
− (cid:4)j
t )Yij ((cid:4)t ).
(7.28)
The following claim says that the diagonal terms in H[F r ((cid:4)t )] dominate in the current
setting, that is, when one of the edge lengths is small.
CLAIM 7.11. 1
2
(cid:18)( ˙(cid:4)t )2, ∇F r ((cid:4)t )(cid:19) ≤ −(cid:18) ˙(cid:4)t , H[F r ((cid:4)t )] ˙(cid:4)t (cid:19) ≤ 3
2
(cid:18)( ˙(cid:4)t )2, ∇F r ((cid:4)t )(cid:19).
Proof of Claim 7.11. We observe that
is exactly
(cid:18)( ˙(cid:4)t )2, ∇F r ((cid:4))(cid:19). The claim is thus proved by showing that the second summand has
(cid:18)( ˙(cid:4)t )2, ∇F r ((cid:4)t )(cid:19). We accomplish this by breaking this
absolute value bounded above by 1
2
summand into various pieces.
the first summand in (7.28)
To begin, we focus on the terms in this summand where j = r.
Let Kr ⊆ [r − 1] be the set of indices where |2 ˙(cid:4)i
t exp(−(cid:4)i
t )Yir ((cid:4)t )| ≤ (1/2r)| ˙(cid:4)r
t Yr ((cid:4)t )|.
Summing over the elements in Kr , we find that
(cid:4)
!
!
!
!
i∈Kr
2 ˙(cid:4)i
t
˙(cid:4)r
t exp(−(cid:4)i
t
− (cid:4)r
t )Yir ((cid:4)t )
!
!
! ≤ 1
!
2
( ˙(cid:4)r
t )2 exp(−(cid:4)r
t )Yr ((cid:4)t ).
(7.29)
From the definition of Lr we have 24r exp(−Lr ) ≤ 1/12. Thus if i < r and i /∈ Kr as
(cid:4)i
t
2| ˙(cid:4)r
≥ Lr and Yir ((cid:4)t ) < 3 max{Yi((cid:4)t ), Yr ((cid:4)t )} from (7.18), we have that
t Yir ((cid:4)t )| ≤ 6| ˙(cid:4)r
t )Yir ((cid:4)t )| ≤ 1/12| ˙(cid:4)i
t Yir ((cid:4)t )| ≤ 1/4| ˙(cid:4)i
t Yr ((cid:4)t )| ≤ |24r ˙(cid:4)i
t exp(−(cid:4)i
t Yi((cid:4)t )|.
(7.30)
Thus for i < r and i /∈ Kr we have that
t )Yir ((cid:4)t )| ≤ |2 ˙(cid:4)i
˙(cid:4)r
t exp(−(cid:4)i
t
|2 ˙(cid:4)i
t
− (cid:4)r
t
˙(cid:4)r
t exp(−(cid:4)i
t )Yir ((cid:4)t )| ≤ 1
4 ( ˙(cid:4)i
t )2 exp(−(cid:4)i
t )Yi((cid:4)t ).
(7.31)
Next we turn our attention to the terms where j < r.
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Thermodynamic metrics on outer space
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| = | ˙(cid:4)j
t
For i ∈ [r − 1] we let Ki ⊆ [r − 1] be the set of indices where | ˙(cid:4)i
| or
where | ˙(cid:4)i
| and j > i. We observe that for any distinct pair of indices i, j ∈
t
[r − 1] either j ∈ Ki and i /∈ Kj or i ∈ Kj and j /∈ Ki. From the definition of Lr
we have 2 exp(−Lr ) ≤ 1/12r. Hence as Yij ((cid:4)t ) < 3Yi((cid:4)t ) from (7.18), we find that
2 exp(−(cid:4)j
t )Yij ((cid:4)t ) ≤ (1/4r)Yi((cid:4)t ) for j ∈ [r − 1]. Therefore, summing over the indices
in Ki we find that
(cid:4)
| > | ˙(cid:4)j
t
t
2 ˙(cid:4)i
t
˙(cid:4)j
t exp(−(cid:4)i
t
− (cid:4)j
( ˙(cid:4)i
t )2 exp(−(cid:4)i
t )Yi((cid:4)t ).
(7.32)
!
!
! ≤ 1
!
t )Yij ((cid:4)t )
4
!
!
!
!
j ∈Ki
Rearranging the terms and using (7.29), (7.31) and (7.32), we find that
!
r−1(cid:4)
!
!
!
!
!
!
! ≤
t )Yij ((cid:4)t )
˙(cid:4)j
t exp(−(cid:4)i
t
˙(cid:4)j
t exp(−(cid:4)i
t
!
r−1(cid:4)
!
!
!
− (cid:4)j
2 ˙(cid:4)i
t
2 ˙(cid:4)i
t
r(cid:4)
(cid:4)
− (cid:4)j
i=1
j =i+1
≤
!
!
!
t )Yij ((cid:4)t )
!
!
!
!
!
2 ˙(cid:4)i
t
˙(cid:4)r
t exp(−(cid:4)i
t
− (cid:4)r
t )Yir ((cid:4)t )
2 ˙(cid:4)i
t
˙(cid:4)r
t exp(−(cid:4)i
t
− (cid:4)r
t )Yir ((cid:4)t )
!
!
!
!
j ∈Ki
(cid:4)
i=1
!
!
!
!
i∈Kr
!
(cid:4)
!
!
!
i /∈Kr
+
+
r−1(cid:4)
i=1
+ 1
1
4
2 ( ˙(cid:4)r
(cid:4)
+
( ˙(cid:4)i
t )2 exp(−(cid:4)i
t )Yi((cid:4)t )
t )Yr ((cid:4)t )
t )2 exp(−(cid:4)i
t )Yi((cid:4)t )
t )2 exp(−(cid:4)r
1
( ˙(cid:4)i
4
i /∈Kr
(cid:18)( ˙(cid:4)t )2, ∇F r ((cid:4)t )(cid:19).
As explained above, the claim now follows.
≤ 1
2
Thus, applying Claim 7.11 and by focusing on the term in (cid:18)( ˙(cid:4)t )2, ∇F r ((cid:4)t )(cid:19) corre-
t and tossing out the rest—which are all non-negative—we get our desired
sponding to (cid:4)1
bound:
−(cid:18) ˙(cid:4)t , H[F r ((cid:4)t )] ˙(cid:4)t (cid:19) ≥ 1
2
(cid:18)( ˙(cid:4)t )2, ∇F r ((cid:4)t )(cid:19) ≥ 1
2 ( ˙(cid:4)1
t )2 exp(−(cid:4)1
t )Y1((cid:4)t ) ≥ 1
2 exp(−t).
(7.33)
For the last inequality, recall from (7.12) that 1 < Y1((cid:4)t ). Combining (7.33) with our
previous bound on (cid:18)(cid:4)t , ∇F r ((cid:4)t )(cid:19) from (7.27), we see that
(cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)2
h,Rr
=
−(cid:18) ˙(cid:4)t , H[F r ((cid:4)t )] ˙(cid:4)t (cid:19)
(cid:18)(cid:4)t , ∇F r ((cid:4)t )(cid:19)
≥
1
2(B1t + B2)
.
Hence the length of this path in the entropy metric is at least
"
(cid:13)
(cid:4)1
1
(cid:4)1
0
1
2(B1t + B2)
dt =
1
√
2B1
2
(
B1(cid:4)1
1
+ B2 −
B1(cid:4)1
0
+ B2).
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Before we can apply Lemma 7.10 to show that (M1(Rr ), dh,Rr ) has infinite diameter,
we require two more estimates. The first states that for a length function in M1(Rr ) when
(cid:4)r is bounded from below, there is an upper bound on the length of the shortest edge that
is not r.
LEMMA 7.12. Let r ≥ 2. If (cid:4) ∈ M1(Rr ) where (cid:4)r ≥ log(3), then min{(cid:4)i | i ∈ [r − 1]} ≤
log(4r − 5).
Proof. We first prove the lemma under the additional assumption that (cid:4)i = (cid:4)1 for any
i ∈ [r − 1]. In this case, we have that (cid:4)i = log(L) for i ∈ [r − 1] and some L > 2r − 3.
By Lemma 7.7, we have
log(3) ≤ (cid:4)r = log
(cid:9)
L + (2r − 1)
L − (2r − 3)
(cid:10)
.
Hence we have that 3(L − (2r − 3)) ≤ L + (2r − 1), which implies that L ≤ 4r − 5.
Next we prove the general case. Let (cid:4) ∈ M1(Rr ) be such that (cid:4)r ≥ log(3). Without loss
of generality, we assume that (cid:4)1 = min{(cid:4)i | i ∈ [r − 1]}.
If (cid:4)1 ≤ log(2r − 3), then we are done.
Otherwise, we may decrease the lengths (cid:4)2, . . . , (cid:4)r−1 to be equal
to (cid:4)1 while
increasing (cid:4)r to maintain the fact that the metric has unit entropy. The assumption that
(cid:4)1 > log(2r − 3) ensures that (cid:4)r is finite. Denote the resulting metric by ˆ(cid:4). Observe
that ˆ(cid:4)r ≥ (cid:4)r ≥ log(3). By the special case considered above, ˆ(cid:4)i ≤ log(4r − 5) for each
i ∈ [r − 1]. As (cid:4)1 = ˆ(cid:4)1, this completes the proof of the lemma.
The second estimate shows that when the length of an edge is small for a length function
in M1(Rr ), the lengths of the other edges must be very large.
LEMMA 7.13. Let r ≥ 2 and let (cid:4) ∈ M1(Rr ). For any (cid:15) > 0, if (cid:4)i ≤ (cid:15) for some i ∈ [r],
then for any j ∈ [r] − {i} we have (cid:4)j > − log(exp((cid:15)) − 1).
Proof. The subrose consisting of the edges i and j has entropy less than or equal to 1
(strictly less than 1 when r ≥ 3). By Lemma 7.7, this implies that
(cid:10)
(cid:9)
(cid:4)j ≥ log
exp((cid:4)i) + 3
exp((cid:4)i) − 1
> − log(exp((cid:4)i) − 1) ≥ − log(exp((cid:15)) − 1).
We can now prove the main inequality in this section that shows that any path that
shrinks the length of an edge to zero must have infinite length.
PROPOSITION 7.14. Let r ≥ 2. For any D > 0, there is an (cid:15) > 0 such that for any (cid:4) ∈
M1(Rr ) with min{(cid:4)i | i ∈ [r]} ≤ (cid:15) we have dh,Rr (log(2r − 1) · 1, (cid:4)) ≥ D.
Proof. Let L0 = max{log(4r − 5), Lr }, where Lr is the constant from Lemma 7.10. Fix
an (cid:15) > 0 such that
(cid:24)
(
1
√
2B1
2
−B1 log(exp((cid:15)) − 1) + B2 −
(cid:24)
B1L0 + B2) ≥ D.
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Since − log(x − 1) → ∞ as x → 1+, such an (cid:15) exists. Observe that for this (cid:15) we have
that − log(exp((cid:15)) − 1) ≥ L0.
Let (cid:4) ∈ M1(Rr ) be such that min{(cid:4)i | i ∈ [r]} ≤ (cid:15) and let (cid:4)t : [0, 1] → M1(Rr ) be
a piecewise smooth path where (cid:4)0 = log(2r − 1) · 1 and (cid:4)1 = (cid:4). We will show that
the entropy length of this path is at least D. As the path is arbitrary, this shows that
dh,Rr (log(2r − 1) · 1, (cid:4)) ≥ D as desired.
Without loss of generality, assume that (cid:4)r = min{(cid:4)i | i ∈ [r]}. Let δ0 ∈ [0, 1] be the
≥ log(3).
minimal value so that (cid:4)r
t
Indeed, there is another index i ∈ [r − 1] such that (cid:4)i
< log(3), then the
δ0
entropy of the subgraph consisting of the ith and rth edges is greater than 1. This
contradicts the fact that the entropy of (cid:4)δ0 is equal to 1.
| i ∈ [r], t ∈ [δ0, 1]}. We observe that (cid:4)r
δ0
= min{(cid:4)i
t
. If (cid:4)r
δ0
= (cid:4)r
δ0
= min{(cid:4)i
t
As there is an automorphism of the r-rose permuting any two edges, by redefining (cid:4)t if
| i ∈ [r − 1]} for each t ∈ [δ0, 1]. By Lemma
≤ (cid:15), we
≤ log(4r − 5) ≤ L0. By Lemma 7.13, as (cid:4)r
1
necessary, we may assume that (cid:4)1
t
7.12, as (cid:4)r
δ0
have that (cid:4)1
≥ log(3), we have that (cid:4)1
δ0
1 > − log(exp((cid:15)) − 1) ≥ L0.
Let δ1 ∈ [δ0, 1] be the minimal value so that (cid:4)1
t
t ∈ [δ1, 1]. As
Lh,Rr ((cid:4)t |[0, 1]) ≥ Lh,Rr ((cid:4)t |[δ1, 1]), it suffices to show that the latter is bounded below
by D.
≥ L0 for all
By only considering the portion of (cid:4)t along the subintervals of [δ1, 1] with ˙(cid:4)1
t > 0, we
find by Lemma 7.10 that
Lh,Rr ((cid:4)t |[δ1, 1]) ≥
1
√
2B1
2
(
B1(cid:4)1
1
+ B2 −
B1(cid:4)1
δ1
+ B2).
≤ (cid:15), we have (cid:4)1
1
As (cid:4)r
1
Therefore
≥ − log(exp((cid:15)) − 1) by Lemma 7.13. By definition (cid:4)1
δ1
= L0.
Lh,Rr ((cid:4)t |[δ1, 1]) ≥
(cid:24)
(
1
√
2B1
2
−B1 log(exp((cid:15)) − 1) + B2 −
(cid:24)
B1L0 + B2) ≥ D.
8. Proof of Theorem 1.1
In this section we give the proof of the first main result of this paper. Theorem 1.1 states
that (X1(Fr ), dh) is complete when r = 2 and not complete if r ≥ 3.
Proof of Theorem 1.1. In §6 we showed that (X1(F2), dh) is complete (Proposition 6.8),
and so it remains to show that (X1(Fr ), dh) is not complete when r ≥ 3. This is a simple
consequence of Proposition 7.8, as we now explain.
Let r ≥ 3 and let (cid:4)t : [0, 1) → M1(Rr ) be the path described in Proposition 7.8.
Using the natural homeomorphism M1(Rr ) ↔ X1(Rr , id), we can consider (cid:4)t as a path in
X1(Fr ).
The sequence of length functions ((cid:4)1−1/n)n∈N is a Cauchy sequence in (X1(Fr ), dh) as
the entropy distance on M1(Rr ) is an upper bound on the entropy distance on X1(Fr ).
We claim that this sequence does not have a limit. Indeed, any length function (cid:4) that
does not lie in X1(Rr , id) has an open neighborhood in the weak topology that does not
intersect X1(Rr , id). As the metric topology and the weak topology agree, any possible
→ ∞ as n → ∞, we
limit of this sequence must lie in X1(Rr , id). However, as (cid:4)r
1−1/n
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see that for any (cid:4) ∈ X1(Rr , id), there is an open neighborhood of (cid:4) in the weak topology
U ⊂ X1(Fr ) such that (cid:4)1−1/n ∈ U for only finitely many n. Hence, again as the metric
topology and the weak topology agree, we see that this sequence does not have a limit in
X1(Rr , id).
9. The completion of (M1(Rr ), dh,Rr )
The goal of this section is to prove Theorem 1.2 which states that the completion
of (M1(Rr ), dh,Rr ) is homeomorphic to the complement of
the vertices in an
(r − 1)-simplex. Intuitively, the newly added completion points correspond to unit-entropy
metrics on the subroses of Rr consisting of at least two edges. Specifically, a face of
dimension k − 1 corresponds to unit-entropy metrics on a sub-k-rose. We observe that R1
does not possess a metric with unit entropy. This accounts for the missing vertices in the
completion.
There are two steps to the proof. First, in §9.1 we introduce a model space (cid:2)M1
(Rr )
for the completion of M1(Rr ) with respect to the entropy metric. This model considers
M(Rr ) as a subset of [0, ∞]r and adds the faces where at most r − 2 of the coordinates
are equal to ∞. It is apparent from the construction that (cid:2)M1
(Rr ) is homeomorphic to the
complement of the vertices in an (r − 1)-simplex. Proposition 9.6 shows that the distance
function dh,Rr on M1(Rr ) extends to a distance function on (cid:2)M1
(Rr ). It is clear that
M1(Rr ) is dense in (cid:2)M1
(Rr ). In §9.2 we complete the proof of Theorem 1.2 by showing
that ((cid:2)M1
(R3) and contrasts this with
the closure of CV (R3, id) considered as a subset of RF3 in the axis topology.
(Rr ), dh,Rr ) is complete. Example 9.7 illustrates (cid:2)M1
Finally, in §9.3 we show that the diameter of cross-section of M1(Rr ) consisting of
length functions with (cid:4)i = (cid:15) for some fixed i ∈ [r] and (cid:15) > 0 goes to zero as (cid:15) → 0+. This
is important for §11 where we show that X1(Rr , id) is a bounded subset of (X1(Fr ), dh).
9.1. The model space (cid:2)M1
In this section we introduce a model for the completion
of (M1(Rr ), dh,Rr ). As mentioned above, we add the faces to M1(Rr ) corresponding to
subroses consisting of at least two edges where the rest of the edge lengths are infinite.
(Rr ).
Topologize [0, ∞] as a closed interval. The natural inclusion M1(Rr ) ⊂ (0, ∞)r ⊂
[0, ∞]r is an embedding. By setting x + ∞ = ∞ and exp (−∞) = 0 we get that the
functions F r from (7.5), Xi from (7.2), Yi from (7.7), Xij from (7.16) and Yij from (7.17)
extend to continuous functions on [0, ∞]r , and the entropy function h
r ((cid:4)) extends to
(0, ∞]r .
Given a subset S ⊆ [r], we identify the subsets
MS = {(cid:4) ∈ (0, ∞]r | (cid:4)i < ∞ if i ∈ S and (cid:4)i = ∞ if i /∈ S},
M1
S
= {(cid:4) ∈ MS | F r ((cid:4)) = 0}.
and
Notice that M[r] = M(Rr ) and that MS ∩ MS(cid:17) = ∅ if S (cid:16)= S(cid:17). We further observe that
M1
{i} = ∅ for any i ∈ [r]. For the latter, note that Xi((cid:4)) = 1 and Yi((cid:4)) = 1
for any (cid:4) ∈ M{i}. Thus for (cid:4) ∈ M{i} we have that F r ((cid:4)) = 1 − exp(−(cid:4)i) > 0.
∅ = ∅ and M1
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Fix S ⊆ [r] with |S| > 1 and let ιS : S → {1, 2, . . . , |S|} be the order-preserving
bijection and let εS : [0, ∞]|S| → [0, ∞]r be the embedding defined by
εS((cid:4)1, . . . , (cid:4)
|S|
)i =
(cid:6)
if i ∈ S,
(cid:4)ιS (i)
∞ otherwise.
The function εS allows us to consider a length function on R|S| as a length function on
Rr where the edges not in S have infinite length. Indeed, with these definitions we have
εS(M(R|S|)) = MS. The following lemma is immediate from Proposition 7.3 and the
definitions.
LEMMA 9.1. Let r ≥ 2 and let S ⊆ [r] have |S| > 1. Then the following statements are
true.
(1) F r ◦ εS = F |S|.
(2) For (cid:4) ∈ M(R|S|), we have h
(3)
εS restricts to a homeomorphism M1(R|S|) → M1
S.
r (εS((cid:4))) = h|S|((cid:4)).
Next we define the sets
(cid:2)M(Rr ) = (0, ∞]r =
(cid:5)
S⊆[r]
MS,
(cid:2)M1
(Rr ) = {(cid:4) ∈ (cid:2)M(Rr ) | F r ((cid:4)) = 0} =
(cid:5)
S⊆[r]
M1
S.
The set (cid:2)M1
(Rr ) is homeomorphic to the complement of the set of vertices in an
(r − 1)-simplex. Applying Proposition 7.5, Lemma 9.1, and the above definitions, we get
the following result.
PROPOSITION 9.2. Let r ≥ 2. A length function (cid:4) ∈ (cid:2)M(Rr ) lies in (cid:2)M1
it has entropy equal to 1.
(Rr ) if and only if
As Yi((cid:4)) and Yij ((cid:4)) extend to continuous functions on (cid:2)M(Rr ), using the expressions for
the partial derivatives of F r ((cid:4)) in (7.10), (7.20) and (7.21), we see that ∂iF r ((cid:4)), ∂iiF r ((cid:4))
and ∂ij F r ((cid:4)) extend to continuous functions on (cid:2)M(Rr ). Using these formulas, we see that
extensions satisfy the following properties.
LEMMA 9.3. Let r ≥ 2, let S ⊆ [r] have |S| > 1 and fix (cid:4) ∈ M(R|S|). Then for i, j ∈ [r]
the following hold:
(cid:6)
∂iF r (εS((cid:4))) =
(cid:6)
∂ij F r (εS((cid:4))) =
∂ιS (i)F |S|((cid:4))
0
if i ∈ S,
otherwise;
∂ιS (i)ιS (j )F |S|((cid:4))
0
if i, j ∈ S,
otherwise.
Hence both ∇F r ((cid:4)) and H[F r ((cid:4))] are well defined for (cid:4) ∈ (cid:2)M(Rr ). Additionally, the
inner product (cid:18)(cid:4), ∇F r ((cid:4))(cid:19) extends continuously as we next show.
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LEMMA 9.4. Let r ≥ 2. The function (cid:4) (cid:12)→ (cid:18)(cid:4), ∇F r ((cid:4))(cid:19) has a continuous extension to
(cid:2)M1
(Rr ). Moreover, if S ⊆ [r] has |S| > 1 and (cid:4) ∈ M|S|, then
(cid:18)εS((cid:4)), ∇F r (εS((cid:4)))(cid:19) = (cid:18)(cid:4), ∇F |S|((cid:4))(cid:19).
Proof. Both of these statements follow from the expressions for the partial derivatives of
F r ((cid:4)) in (7.10) as x exp(−x) → 0 when x → ∞.
We define the tangent bundle T (cid:2)M1
where (cid:18)v, ∇F r ((cid:4))(cid:19) = 0. The subset of ((cid:4), v) ∈ T (cid:2)M1
S. For consistency, we denote T M1
by T M1
εS : R|S| → Rr defined by
(Rr ) as the subspace of ((cid:4), v) ∈ (cid:2)M1
(Rr ) × Rr
(Rr ) where (cid:4) ∈ M1
S is denoted
[r] by T M1(Rr ). There is an embedding
εS(v1, . . . , v|S|
)i =
(cid:6)
vιS (i)
0
if i ∈ S,
otherwise.
(Rr ) whose image is
S by TS((cid:4), v) = (εS((cid:4)), εS(v)). Proposition 4.14, together with Lemmas
This allows us to define an embedding TS : T M1(R|S|) → T (cid:2)M1
contained in T M1
9.3 and 9.4, has the following implication.
PROPOSITION 9.5. Let r ≥ 2. The entropy norm (cid:21)(cid:2)(cid:21)h,Rr : T M1(Rr ) → R extends
to a continuous semi-norm (cid:21)(cid:2)(cid:21)h,Rr : T (cid:2)M1
(Rr ) → R. Moreover, the embedding maps
TS : T M1(R|S|) → T (cid:2)M1
(Rr ) are norm-preserving. Specifically, if S ⊆ [r] has |S| > 1,
and ((cid:4), v) = TS((cid:4)S, vS), then the extension satisfies
(cid:21)((cid:4), v)(cid:21)h,Rr
= (cid:21)((cid:4)S, vS)(cid:21)h,R|S| .
(9.1)
The reason why the extension fails to be a norm is as follows. If ((cid:4), v) ∈ M1
S
vi = 0 for i ∈ S, then ((cid:4), v) ∈ T M1
whenever i /∈ S or j /∈ S. Thus −(cid:18)v, H[F r ]((cid:4))v(cid:19) = 0 and hence (cid:21)((cid:4), v)(cid:21)h,Rr
points.
× Rr and
S as ∂iF r ((cid:4)) = 0 whenever i /∈ S. Further, ∂ij F r ((cid:4)) = 0
= 0 for such
The following proposition is the main result of this section. It shows that (cid:2)M1
(Rr ) is
contained in the completion of (M1(Rr ), dh,Rr ).
PROPOSITION 9.6. Let r ≥ 2. The following statements hold.
(1)
The extension of the entropy norm defines a distance function dh,Rr on (cid:2)M1
The inclusion (M1(Rr ), dh,Rr ) → ((cid:2)M1
The topology induced by dh,Rr equals the subspace topology (cid:2)M1
(Rr ).
(Rr ), dh,Rr ) is an isometric embedding.
(Rr ) ⊆ [0, ∞]r .
(2)
(3)
Proof. By definition (cid:2)M1
assume from now on that r ≥ 3.
(R2) = M1(R2). Hence the proposition is obvious for r = 2. We
First we need to show that for each (cid:4), (cid:4)(cid:17) ∈ (cid:2)M1
(Rr )
with (cid:4)0 = (cid:4) and (cid:4)1 = (cid:4)(cid:17) that has finite length so that dh,Rr ((cid:4), (cid:4)(cid:17)) is defined. Notice that by
Proposition 9.5 for each S ⊆ [r] with |S| > 1, any two points in M1
S can be joined by a
path of finite length. Hence it suffices to show that, for any S ⊆ [r] with |S| > 1, there is
a path of finite length joining log(2r − 1) · 1 ∈ M1(Rr ) to εS(log(2|S| − 1) · 1) ∈ M1
S.
(Rr ) there is a path (cid:4)t : [0, 1] → (cid:2)M1
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Recall that in Proposition 7.8 we showed that there is a path (cid:4)t : [0, 1] → (cid:2)M1
where (cid:4)0 = log(2r − 1) · 1 and (cid:4)1 = ε[r−1](log(2r − 3) · 1) ∈ M1
length.
[r−1]
(Rr )
that has finite
Si+1
Now, given S ⊆ [r] with |S| > 1, we inductively define subsets Si for i = 0, . . . , r −
|S| by S0 = [r], and Si+1 = Si − {max(Si − S)} so that Sr−|S| = S. The calculation
(Rr )
in Proposition 7.8 shows that there is a finite-length path ((cid:4)i)t :
with ((cid:4)i)0 = εSi (log(2(r − i) − 1) · 1) ∈ M1
and ((cid:4)i)1 = εSi+1(log(2(r − (i + 1)) −
Si
1) · 1) ∈ M1
. The concatenation of these paths is a path with finite length from
S. Therefore dh,Rr ((cid:4), (cid:4)(cid:17)) is defined
log(2r − 1) · 1 ∈ M1(Rr ) to εS(log(2|S| − 1) · 1) ∈ M1
for all (cid:4), (cid:4)(cid:17) ∈ (cid:2)M1
[0, 1] → (cid:2)M1
Next, we show that dh,Rr defines a distance function on (cid:2)M1
(Rr ). Symmetry and the
triangle inequality obviously hold. What needs to be checked is that if (cid:4) and (cid:4)(cid:17) are
distinct points in (cid:2)M1
(Rr ), then there is an (cid:15) such that any path from (cid:4) to (cid:4)(cid:17) has length at
least (cid:15).
(Rr ).
This is clear if at least one of (cid:4) and (cid:4)(cid:17)
lie in M1(Rr ). Indeed, say (cid:4) lies in
M1(Rr ). Then there is an open set U ⊂ M1(Rr ) containing (cid:4) with compact closure U
such that (cid:4)(cid:17) /∈ U . Further, there is an (cid:15) > 0 such that if dh,Rr ((cid:4), (cid:4)(cid:17)(cid:17)) < (cid:15) then (cid:4)(cid:17)(cid:17) ∈ U .
Hence any path from (cid:4) to (cid:4)(cid:17) must have length at least (cid:15) and therefore dh,Rr ((cid:4), (cid:4)(cid:17)) ≥
(cid:15) > 0.
It remains to consider the case where neither (cid:4) nor (cid:4)(cid:17) lies in M1(Rr ). Suppose that there
is a sequence of paths ((cid:4)n)t : [0, 1] → (cid:2)M1
(Rr ) − M1(Rr ) where
Lh,Rr (((cid:4)n)t |[0, 1]) → 0. As the lengths of the paths ((cid:4)n)t go to 0, by Proposition 7.14,
there is an (cid:15) > 0 such that (((cid:4)n)t )i ≥ (cid:15) for all t ∈ [0, 1] and all n. Hence the images of the
paths lie in a compact set of (cid:2)M1
(Rr ) and, by the Arzelà–Ascoli theorem, there is a path
(cid:4)t : [0, 1] → (cid:2)M1
(Rr ) from (cid:4) to (cid:4)(cid:17) with length 0.
(Rr ) from (cid:4), (cid:4)(cid:17) ∈ (cid:2)M1
The image of such a path must be contained in (cid:2)M1
(Rr ) − M1(Rr ). As
(cid:5)
(cid:2)M1
(Rr ) − M1(Rr ) =
MS,
we must have that
Proposition 9.5 and hence (cid:4) = (cid:4)(cid:17).
˙(cid:4)t = 0 since the semi-norm is non-degenerate on any T M1
S by
S⊂[r]
This shows (1).
Item (2) follows as any path in (cid:2)M1
(Rr ) with endpoints in M1(Rr ) is close to a path
entirely contained in M1(Rr ) by continuity of the semi-norm.
Item (3) now follows by continuity of the semi-norm.
9.2. Proof of Theorem 1.2. We can now complete the proof of Theorem 1.2 which states
that the completion of M1(Rr ) with respect to the entropy metric is homeomorphic to
the complement of the vertices of an (r − 1)-simplex. We accomplish this by showing
that ((cid:2)M1
(Rr ), dh,Rr ) is the completion as we have already observed that this space is
homeomorphic to the complement of the vertices of an (r − 1)-simplex.
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Proof of Theorem 1.2. As the inclusion map (M1(Rr ), dh,Rr ) → ((cid:2)M1
(Rr ), dh,Rr ) is an
isometric embedding by Proposition 9.6(2) and the image is clearly dense, it remains to
show that ((cid:2)M1
(Rr ), dh,Rr ) is complete.
To this end, let ((cid:4)n)n∈N ⊂ (cid:2)M1
(Rr ) be a Cauchy sequence. Then for each 1 ≤ i ≤ r, we
∞) = 0. What remains
∞ ∈ [0, ∞]r where F r ((cid:4)1
have that ((cid:4)i)n limits to some (cid:4)i
∞, . . . , (cid:4)r
to be shown is that such a limiting length function (cid:4)∞ belongs to (cid:2)M1
∞ (cid:16)= ∞}. If (cid:4)i (cid:16)= 0 for all i ∈ [r], then (cid:4) ∈ M1
S
Let S = {i ∈ [r] | (cid:4)i
⊂ (cid:2)M1
(Rr ).
are done. This is indeed always the case as by Proposition 7.14, the limiting length (cid:4)i
bounded away from zero for all i since the sequence is Cauchy.
(Rr ) and we
∞ is
Example 9.7. In this example, we compare the completion (cid:2)M1
(R3) with the closure of
CV (R3, id) considered as a subset of RF3. Recall that CV (R3, id) ⊂ CV (F3) is the space
of length functions on R3 with unit volume, that is, the sum of the lengths of the edges
is equal to 1. For the current discussion, the marking is irrelevant. For more information
about the closure of CV (Fr ) in RFr we refer the reader to the papers by Bestvina and
Feighn [7] and Cohen and Lustig [12].
We again consider Figure 5 in §7.1, which shows M1(Rr ) for r = 2 and r = 3. These
images suggest that as the length of one of the edges goes to infinity, the moduli space
M1(R3) limits to the moduli space M1(R2) for the subgraph consisting of the other two
edges. There are three such R2 subgraphs in R3, each contributing a one-dimensional
face to (cid:2)M1
(R3) contrasted with CV (R3, id),
the closure of CV (R3, id) considered as a subset of RF3. The spaces are not homeo-
morphic; (cid:2)M1
(R3) is a 2-simplex without vertices, whereas CV (R3, id) is a 2-simplex.
A more striking difference comes from the duality between the newly added edges and
vertices.
(cid:129)
(R3). Figure 6 shows a schematic of (cid:2)M1
In (cid:2)M1
(R3), as c → ∞ we obtain a copy of M1(R2) for the subgraph on a and b. In
CV (R3, id), the corresponding sequence would send a, b → 0, c → 1 and the result
is a single point corresponding to the graph of groups decomposition of (cid:18)a, b, c(cid:19)
with underlying graph R1 where (cid:18)a, b(cid:19) is the vertex group and the edge group is
trivial.
In (cid:2)M1
(R3), as b, c → ∞ there is no limit. This is a missing vertex of the 2-simplex;
this stems from the fact that R1 cannot be scaled to have unit entropy. In CV (R3, id),
the corresponding sequence would send a → 0 and we obtain a one-dimensional face
in the closure corresponding to unit-volume length functions on the graph of groups
decomposition of (cid:18)a, b, c(cid:19) with underlying graph R2 where (cid:18)a(cid:19) is the vertex group and
both edge groups are trivial.
(cid:129)
9.3. The thin part of M1(Rr ). For (cid:15) > 0 and i ∈ [r], we define
Si
(cid:15)
= {(cid:4) ∈ M1(Rr ) | (cid:4)i = (cid:15)}.
We use the letter ‘S’ as we think of this subset as a slice of the moduli space. The goal of
this section is to prove the following proposition.
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Thermodynamic metrics on outer space
(cid:5)b, c(cid:6)
a
c
(cid:5)b(cid:6)
779
(cid:5)a, b(cid:6)
c
b
a = ∞
a
b
c = ∞
a
b
(cid:5)c(cid:6)
b
c
(cid:5)a(cid:6)
a
c
b = ∞
(cid:5)a, c(cid:6)
FIGURE 6. The completion of entropy normalization (cid:2)M1
(R3) contrasted with the closure of the volume
normalization CV (R3, id) in RF3 .
PROPOSITION 9.8. Let r ≥ 2 and let i ∈ [r]. Then
lim
(cid:15)→0+
diam(Si
(cid:15)) = 0.
Topologically, we have seen that (cid:2)M1
(Rr ) is homeomorphic to a simplex with its
vertices removed. Proposition 9.8 shows that geometrically (cid:2)M1
(Rr ) is similar to an ideal
hyperbolic simplex, with cross-sections whose diameter shrinks to zero as we move toward
an ideal vertex.
Given distinct i, j ∈ [r] and (cid:15) > 0, we let (cid:4)i,j ((cid:15)) denote the length function in M1
{i,j }
where ((cid:4)i,j ((cid:15)))i = (cid:15). As a result, we get that
((cid:4)i,j ((cid:15)))j = log
(cid:9)
(cid:10)
exp(−(cid:15)) + 3
exp(−(cid:15)) − 1
(9.2)
by Lemma 7.7.
We begin with a technical lemma that bounds the length of a path in Si
(cid:15) to such a point.
LEMMA 9.9. Let r ≥ 2. There is a constant D with the following property. Let 0 < (cid:15) <
log(2) and let i ∈ [r]. Suppose (cid:4) ∈ Si
(cid:15) and that j ∈ [r] − {i} is such that (cid:4)j = min{(cid:4)k |
k ∈ [r] − {i}}. Then
dh,Rr ((cid:4), (cid:4)i,j ((cid:15))) ≤
D
− log(exp((cid:15)) − 1)
.
Proof. Using the notation of the lemma, we consider the path (cid:4)t : [0, ∞) → Si
by
(cid:15) defined
(cid:4)k
t
= (cid:4)k + t,
k (cid:16)= i, j ; (cid:4)i
t
= (cid:15).
(9.3)
Note that (cid:4)j
t
Notice that (cid:4)t extends to a path (cid:4)t : [0, ∞] → (cid:2)M1
is not specified; its value is determined by the constraint that h
(Rr ) and (cid:4)∞ = (cid:4)i,j ((cid:15)) ∈ M1
r ((cid:4)t ) = 1.
{i,j }. We
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t is increasing for k (cid:16)= i, j and as (cid:4)i
t is constant, we have
observe that since the length of (cid:4)k
(cid:4)j
t
≤ (cid:4)j for all t.
Given a subset S ⊆ [r], let |S|i = |S| − 1 if i ∈ S and let |S|i = |S| otherwise. With
= (cid:4)S + |S|it. Therefore, using
this definition, for a subset S ⊆ [r] − {j } we have that (cid:4)S
t
the definition of Xj ((cid:4)t ) from (7.6) and Yj ((cid:4)t ) from (7.7), we find that
(cid:4)
Xj ((cid:4)t ) =
(1 − 2|S|) exp(−(cid:4)S − |S|it),
S⊆[r]−{j }
(cid:4)
(1 + 2|S|) exp(−(cid:4)S − |S|it).
Yj ((cid:4)t ) =
S⊆[r]−{j }
(9.4)
(9.5)
Let p(t) = log(Yj ((cid:4)t )) and q(t) = − log(Xj ((cid:4)t )), and so (cid:4)j (t) = p(t) + q(t) by (7.9).
The next two claims establish bounds on the second derivatives of p(t) and q(t).
CLAIM 9.10. There is a constant C1 such that | ¨p(t)| ≤ C1 exp(−t).
Proof of Claim 9.10. Using that fact that 1 < Yj ((cid:4)t ) from (7.12), we have
!
!
!
! ≤
¨Yj ((cid:4)t )Yj ((cid:4)t ) − ˙Yj ((cid:4)t )2
Yj ((cid:4)t )2
˙Yj ((cid:4)t )
Yj ((cid:4)t )
¨Yj ((cid:4)t )
Yj ((cid:4)t )
| ¨p(t)| =
!
!
!
! +
!
!
2
!
!
!
!
!
!
!
!
!
!
!
!
!
!
≤ | ¨Yj ((cid:4)t )| + | ˙Yj ((cid:4)t )|2.
The summands in | ¨Yj ((cid:4)t )| have the form
|S|2
i (1 + 2|S|) exp(−(cid:4)S − |S|it).
(9.6)
The summands in | ˙Yj ((cid:4)t )|2 have the form
(cid:17)|i(1 + 2|S|)(1 + 2|S
|S|i|S
(cid:17)|) exp(−(cid:4)S − (cid:4)S(cid:17) − (|S|i + |S
(cid:17)|i)t).
(9.7)
Each non-zero term in (9.6) and (9.7) has the form A exp(−B − Ct) where A, B ≥ 0 and
C ≥ 1. Hence each term is bounded by A exp(−t) for some A ≥ 0. The existence of C1 is
now clear.
CLAIM 9.11. There is a constant C2 such that | ¨q(t)| ≤ C2 exp(−t).
Proof of Claim 9.11. Using the facts that 1 < Yj ((cid:4)t ) from (7.12) and exp(−(cid:4)j
Xj ((cid:4)t ) from (7.8), we find that exp(−(cid:4)j
t )Yj ((cid:4)t ) = Xj ((cid:4)t ). Hence
!
!
!
!
!
!
!
!
t )Xj ((cid:4)t ) − ˙Xj ((cid:4)t )2
t ) ≤ exp(−(cid:4)j
| ¨q(t)| =
!
!
!
! ≤
!
!
!
! +
¨Xj ((cid:4)j
!
!
2
!
!
!
!
!
!
˙Xj ((cid:4)t )
Xj ((cid:4)t )
Xj ((cid:4)t )2
t )Yj ((cid:4)t ) =
¨Xj ((cid:4)t )
Xj ((cid:4)t )
t )| ˙Xj ((cid:4)t )|2.
The summands in exp((cid:4)j
The summands in exp(2(cid:4)j
≤ exp((cid:4)j
t )| ¨Xj ((cid:4)t )| + exp(2(cid:4)j
t )| ¨Xj ((cid:4)t )| have the form
i (1 + 2|S|) exp((cid:4)j
|S|2
t )| ˙Xj ((cid:4)t )|2 have the form
t
− (cid:4)S − |S|it).
(9.8)
|S|i|S
(cid:17)|i(1 + 2|S|)(1 + 2|S
(cid:17)|) exp(2(cid:4)j
t
− (cid:4)S − (cid:4)S(cid:17) − (|S|i + |S
(cid:17)|i)t).
(9.9)
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Thermodynamic metrics on outer space
781
≤ min{(cid:4)k | k ∈ [r] − {i}}, we find that (cid:4)j
t
As (cid:4)j
− (cid:4)S ≤ 0 for all S ⊆ [r] − {j } when
t
|S|i (cid:16)= 0. Hence, as above, each non-zero term in (9.8) and (9.9) has the form A exp(−B −
Ct) where A, B ≥ 0 and C ≥ 1. The existence of C2 is now clear.
We can now bound the entropy norm of ((cid:4)t , ˙(cid:4)t ) using Proposition 4.14. As ¨(cid:4)k
t
t )Yk((cid:4)t ) > 0 for all k from (7.10), we find that
t ∂kF r ((cid:4)t ) = (cid:4)k
t exp(−(cid:4)k
k (cid:16)= j and (cid:4)k
= 0 for
(cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)2
h,Rr
=
(cid:18) ¨(cid:4)t , ∇F r ((cid:4)t )(cid:19)
(cid:18)(cid:4)t , ∇F r ((cid:4)t )(cid:19)
≤
¨(cid:4)j
t ∂j F r ((cid:4)t )
(cid:4)j
t ∂j F r ((cid:4)t )
=
¨(cid:4)j
t
(cid:4)j
t
≤
¨(cid:4)j
t
(cid:4)j .
Thus we can bound the length of the path (cid:4)t by
(cid:13) ∞
0
√
Lh,Rr ((cid:4)t |[0, ∞)) =
≤
(cid:13) ∞
(cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)h,Rr dt ≤ 1
(cid:4)j
(cid:13) ∞
exp(−t/2) dt = 2
√
C1 + C2
(cid:4)j
0
0
¨(cid:4)j
t dt
√
C1 + C2
(cid:4)j
C1 + C2 we complete the proof of the
.
As (cid:4)j ≥ − log(exp((cid:15)) − 1) (9.2), setting D = 2
lemma.
Proof of Proposition 9.8. Let r ≥ 2 and let D be the constant from Lemma 9.9. Fix i ∈ [r]
= (cid:15) and such that all other (cid:4)j
and let (cid:4)(cid:15) ∈ Si
(cid:15) are equal. By Lemma 9.9, we
have that
(cid:15), defined by (cid:4)i
(cid:15)
dh,Rr ((cid:4)(cid:15), (cid:4)i,j ((cid:15))) ≤
D
− log(exp((cid:15)) − 1)
for all j ∈ [r] − {i}. In particular, the set {(cid:4)i,j ((cid:15)) | j ∈ [r] − {i}} has diameter at most
2D/(− log(exp((cid:15)) − 1)).
Again, by Lemma 9.9, each (cid:4) ∈ Si
(cid:15) has distance at most D/(− log(exp((cid:15)) − 1)) from
some point in {(cid:4)i,j ((cid:15)) | j ∈ [r] − {i}}. Hence
diam(Si
(cid:15)) ≤
3D
− log(exp((cid:15)) − 1)
.
As − log(exp((cid:15)) − 1) → ∞ as (cid:15) → 0+, the proof of the proposition is complete.
1, . . . , e1
n1
, and G2, with edges e2
10. The moduli space of a graph with a separating edge
The purpose of this section is to introduce tools to analyze the entropy metric on the moduli
space of a graph with a separating edge. Throughout this section, let G = (V , E, o, τ , ¯)
be a finite connected graph which consists of two disjoint connected subgraphs G1, with
edges e1
1, . . . , e2
connected by an edge e0. We assume
n2
that both G1 and G2 have rank at least 2. We begin our analysis in §10.1 by showing that
there exist paths of finite length limiting to any unit-entropy metric on either G1 or G2.
Using this, in §10.2 we construct a space (cid:2)M1
(G) that is similar to the construction of
(cid:2)M1
(Rr ) from §9. The main difference is that in this section, we do not bother to construct
the entire completion of (M1(G), dh,G), rather we just add the points that correspond to a
length function of entropy 1 on G1 ∪ e0 or G2 ∪ e0 or G1 ∪ G2. This is sufficient for our
purposes. Proposition 10.6 is the culmination of this analysis where we show that there is
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a map from (cid:2)M1
length functions to a single point.
(G) to the completion of (M1(G), dh,G) that collapses these newly added
10.1. Finite-length paths in M1(G). We seek to show that there is a finite-length path in
(M1(G), dh,G) that limits onto an arbitrary unit-entropy metric on either G1 or G2. This
calculation appears in Proposition 10.2. Given a length function (cid:4) ∈ M(G) we denote
)) and (cid:4)2 = ((cid:4)(e2
(cid:4)0 = (cid:4)(e0), (cid:4)1 = ((cid:4)(e1
)).
Given a simplex (cid:7) ∈ CG and an edge e ∈ E of G, we recall that (cid:7)(e) denotes the
number of times e or ¯e appears as a vertex in a simple cycle contained in (cid:7). By the
construction of CG we have that (cid:7)(e) ∈ {0, 1, 2} for any edge. Further, (cid:7)(e0) ∈ {0, 2}
as e0 is separating.
1), . . . , (cid:4)(e1
n1
1), . . . , (cid:4)(e2
n2
Analogous to the functions Yi defined in §7.2 that allowed us to isolate the variable (cid:4)i
for the r-rose, we define a function Y : M(G) → R by
Y ((cid:4)) = −
(−1)
|(cid:7)|
exp(−(cid:4)((cid:7)) + 2(cid:4)0).
(cid:4)
(cid:7)∈CG
(cid:7)(e0)=2
Notice that this function is constant with respect to (cid:4)0 as we may write
(cid:4)
(cid:4)((cid:7)) =
(cid:7)(e)(cid:4)(e).
e∈E+
Hence if (cid:7)(e0) = 2, then (cid:4)((cid:7)) − 2(cid:4)0 has no dependence on (cid:4)0. Also we remark that the
function Y : M(G) → R has a continuous extension to [0, ∞]|E+| and is bounded on
[0, ∞]|E+|. With this notation we have the following expression for FG.
LEMMA 10.1. Let (cid:4) ∈ M(G). Then FG((cid:4)) = FG1((cid:4)1)FG2((cid:4)2) − exp(−2(cid:4)0)Y ((cid:4)).
Proof. Let (cid:7) be a simplex in CG. If (cid:7)(e0) = 0, then (cid:7) is the join of two (possibly
empty) simplices (cid:7)1 ∈ CG1 and (cid:7)2 ∈ CG2. Indeed, if (cid:7) = {γ 1
},
1 , . . . , γ 1
m1
} for i = 1, 2. We have |(cid:7)| = m1 + m2 =
then (cid:7) = (cid:7)1 ∗ (cid:7)2 where (cid:7)i = {γ i
|(cid:7)1| + |(cid:7)2| and thus
1 , . . . , γ 2
m2
1 , . . . , γ i
mi
, γ 2
(−1)
|(cid:7)|
exp(−(cid:4)((cid:7))) = ((−1)
|(cid:7)1|
exp(−(cid:4)1((cid:7)1)))((−1)
|(cid:7)2|
exp(−(cid:4)2((cid:7)2))).
Therefore, by Theorem 4.2, we find that
(cid:4)
(−1)
|(cid:7)|
exp(−(cid:4)((cid:7))) =
(cid:9) (cid:4)
(−1)
|(cid:7)1|
exp(−(cid:4)1((cid:7)1))
(cid:10)
(cid:7)∈CG
(cid:7)(e0)=0
(cid:7)1∈CG1
(cid:9) (cid:4)
×
(−1)
|(cid:7)2|
exp(−(cid:4)2((cid:7)2))
(cid:10)
(cid:7)2∈CG2
= FG1((cid:4)1)FG2((cid:4)2).
If (cid:7)(e0) = 2, then
|(cid:7)|
(−1)
exp(−(cid:4)((cid:7))) = exp(−2(cid:4)0)(−1)
|(cid:7)|
exp(−(cid:4)((cid:7)) + 2(cid:4)0).
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Hence, by the definition of Y ((cid:4)), we have
(cid:4)
(−1)
|(cid:7)|
exp(−(cid:4)((cid:7))) = − exp(−2(cid:4)0)Y ((cid:4)).
(cid:7)∈CG
(cid:7)(e0)=2
As e0 is separating, there are no simplices in CG for which (cid:7)(e0) = 1. By Theorem 4.2
again, the lemma follows.
In particular, for (cid:4) ∈ M1(G) we have FG((cid:4)) = 0 by Lemma 4.4, and thus
(cid:9)
(cid:10)
(cid:4)0 = 1
2
log
Y ((cid:4))
FG1((cid:4)1)FG2((cid:4)2)
.
(10.1)
Using the above expression for FG and (cid:4)0, we will give a method of a finite-length path in
G for which (cid:4)0 → ∞.
PROPOSITION 10.2. Fix a length function (cid:4)(cid:17) ∈ M1(G1) and let 1 < x1, . . . , xn1 < ∞ be
such that (cid:4)(cid:17)(e1
i ) = log(xi) for 1 ≤ i ≤ n1. Let (cid:4) ∈ M1(G) be such that (cid:4)(e1
i ) = log(xi + 1)
for 1 ≤ i ≤ n1 and let (cid:4)t : [0, 1) → (cid:2)M1
i ) = log(xi +
1 − t), (cid:4)2
t
(G) be the path defined by (cid:4)t (e1
= (cid:4)2 and
(cid:9)
(cid:10)
(cid:4)0
t
= 1
2
Then Lh,G((cid:4)t |[0, 1)) is finite and (cid:4)0
t
Y ((cid:4)t )
t )FG2((cid:4)2
t )
log
FG1((cid:4)1
→ ∞ as t → 1−.
.
(10.2)
Proof. We will use the notation as in the statement of the proposition. As h
we must have that (cid:4)0
t
unit entropy, and with this length function the subgraph G1 also has unit entropy.
G1((cid:4)(cid:17)) = 1,
→ ∞ at t → 1−. Indeed, if not then the limiting length function has
Notice that since (cid:4)t (e)∂eFG((cid:4)t ) > 0 for all e ∈ E+ by Lemma 4.4(3), we have that
(cid:18)(cid:4)t , ∇FG((cid:4)t )(cid:19) =
(cid:4)
e∈E+
(cid:4)t (e)∂eFG((cid:4)t ) ≥
n1(cid:4)
i=1
By Lemma 10.1, we compute that
(cid:4)t (e1
i )∂e1
i
FG((cid:4)t ).
(10.3)
∂e1
i
FG((cid:4)t ) = FG2((cid:4)2
t )∂e1
i
FG1((cid:4)1
t ) − exp(−2(cid:4)0
t )∂e1
i
Y ((cid:4)t ).
(10.4)
i
Y ((cid:4)) is bounded on M(G), we see that (cid:18)(cid:4)t , ∇FG((cid:4)t )(cid:19) has a limit, as t → 1−,
Thus since ∂e1
that is bounded below by FG2((cid:4)2)(cid:18)(cid:4)(cid:17), ∇FG1((cid:4)(cid:17))(cid:19), which is positive by Lemma 4.4(3) and
Lemma 4.9. (We will see in Lemma 10.4(2) that the limit is in fact exactly equal to
FG2((cid:4)2)(cid:18)(cid:4)(cid:17), ∇FG1((cid:4)(cid:17))(cid:19).) Hence there is an (cid:15) > 0 such that
(cid:18)(cid:4)t , ∇FG((cid:4)t )(cid:19) ≥ (cid:15)
(10.5)
for all t ∈ [0, 1).
We compute that ¨(cid:4)t (e1
i ) = (−1)/(xi + 1 − t) < 0, hence ¨(cid:4)t (e1
FG((cid:4)t ) < 0 for all
i )∂e1
FG((cid:4)t ) = 0 for all 1 ≤ i ≤ n2 and 0 < t < 1.
i
0 < t < 1 and 1 ≤ i ≤ n1. Clearly ¨(cid:4)t (e2
i )∂e2
i
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(cid:18) ¨(cid:4)t , ∇FG((cid:4)t )(cid:19) ≤ ¨(cid:4)0
t ∂e0FG((cid:4)t ).
(10.6)
To deal with this term, we need the following claim.
CLAIM 10.3. There are polynomials p, q ∈ R[t] where p(t), q(t) (cid:16)= 0 for t ∈ [0, 1] such
that
exp(−2(cid:4)0
t ) = (1 − t)p(t)
.
q(t)
Proof of Claim 10.3. As FG((cid:4)t ) = 0, we have that
t ) = FG1((cid:4)1
exp(−2(cid:4)0
t )FG2((cid:4)2
t )
Y ((cid:4)t )
.
(cid:7)
Let (cid:4)(Ei) =
ni
j =1 (cid:4)(ei
j ) for i = 1, 2. Notice that we can write FG1((cid:4)1
n1(cid:20)
(cid:4)
t ) as
FG1((cid:4)1
t ) =
(−1)
|(cid:7)|
(xi + 1 − t)
−(cid:7)(e1
i ).
(cid:7)∈CG1
i=1
Hence exp(2(cid:4)t (E1))FG1 ((cid:4)1
that exp(2(cid:4)t (E2))FG2((cid:4)2
we have that FG1((cid:4)1
t ) is a polynomial in t with real coefficients. Also, we observe
t ) is a non-zero constant with respect to t. By the definition of (cid:4)t
1) = 0. Hence we can write
exp(2(cid:4)t (E1) + 2(cid:4)t (E2))FG1 ((cid:4)1
t )FG2((cid:4)2
t ) = (1 − t)p(t)
where p(t) ∈ R[t]. As the left-hand side of this equation does not vanish for t ∈ [0, 1) by
Lemma 4.9, we see that p(t) (cid:16)= 0 for t ∈ [0, 1). To show that p(1) (cid:16)= 0, we see that
p(1) = d
dt
(exp(2(cid:4)t (E1) + 2(cid:4)t (E2))FG1 ((cid:4)1
1)(cid:18) ˙(cid:4)1
= exp(2(cid:4)1(E1) + 2(cid:4)1(E2))FG2 ((cid:4)2
!
!
t )FG2((cid:4)2
t ))
1, ∇FG1((cid:4)1
t=1
1)(cid:19).
∈ M1(G1), we have that ∇FG1((cid:4)1
As (cid:4)1
1
Lemma 4.4. Since h
(past t = 1 as well), we have that (cid:18) ˙(cid:4)1
G1((cid:4)1
1) by
t ) is increasing with respect to t as every edge length is decreasing
1) is non-zero and parallel to ∇h
G1((cid:4)1
1)(cid:19) (cid:16)= 0. Hence p(1) (cid:16)= 0 as well.
1, ∇h
G1((cid:4)1
In a similar way, we observe that we can write
exp(2(cid:4)t (E1) + 2(cid:4)t (E2))Y ((cid:4)t ) = q(t)
for some q(t) ∈ R[t]. As Y ((cid:4)t ) = exp(2(cid:4)0)FG1((cid:4)1
t ) by Lemma 10.1, we see that
Y ((cid:4)t ) (cid:16)= 0 for t ∈ [0, 1) by Lemma 4.9 and hence q(t) (cid:16)= 0 for t ∈ [0, 1) as well. As t →
1−, we have that (cid:4)0
→ ∞ and thus (1 − t)p(t)/q(t) → 0 as t → 1−. As p(1) (cid:16)= 0, we
t
must have that q(1) (cid:16)= 0 as well.
t )FG2((cid:4)2
By Claim 10.3, we compute that
(cid:9)
¨(cid:4)0
t
= 1
2
1
(1 − t)2
−
¨p(t)p(t) + ( ˙p(t))2
(p(t))2
+
¨q(t)q(t) + ( ˙q(t))2
(q(t))2
(cid:10)
.
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Using Lemma 10.1 and Claim 10.3, we find that
∂e0FG((cid:4)) = 2 exp(−2(cid:4)0)Y ((cid:4)) = 2Y ((cid:4))
(1 − t)p(t)
q(t)
.
Hence we see that there exists a constant C > 0 such that
t ∂e0FG((cid:4)t ) ≤ C
¨(cid:4)0
1 − t
.
(10.7)
Therefore, by combining Proposition 4.6 with (10.5), (10.6) and (10.7), we have that
(cid:21)((cid:4)t , ˙(cid:4)t )(cid:21)2
h,G
=
(cid:18) ¨(cid:4)t , ∇FG((cid:4)t )(cid:19)
(cid:18)(cid:4)t , ∇FG((cid:4)t )(cid:19)
≤
¨(cid:4)0
t ∂e0FG((cid:4)t )
(cid:18)(cid:4)t , ∇FG((cid:4)t )(cid:19)
≤
C
(cid:15)(1 − t)
.
Hence the length of (cid:4)t is finite.
10.2. The model space (cid:2)M1
(G). The previous example shows that we should expect
some points in the completion of (M1(G), dh,G) to correspond to unit-entropy metrics on
G1 or G2. For the model, we add these points to M1(G) as well as points that correspond
to unit-entropy metrics on G1 ∪ G2. To this end, we set
M1 = {(cid:4) ∈ (0, ∞]
M2 = {(cid:4) ∈ (0, ∞]
M1,2 = {(cid:4) ∈ (0, ∞]
|E+| | (cid:4)1 ∈ M(G1) and (cid:4)2 = ∞ · 1},
|E+| | (cid:4)1 = ∞ · 1 and (cid:4)2 ∈ M(G2)},
|E+| | (cid:4)0 = ∞, (cid:4)1 ∈ M(G1) and (cid:4)2 ∈ M(G2)}.
We consider their union (cid:2)M(G) = M(G) ∪ M1 ∪ M2 ∪ M1,2 as a subset of (0, ∞]|E+|,
endowed with the subspace topology as in §9. There are obvious embeddings
εi : M(Gi) → Mi for i = 1, 2 where we set εi((cid:4))0 = ∞, and an obvious embedding
ε1,2 : M(G1) × M(G2) → M1,2 as well. Next, we define
M1
1
M1
2
M1
1,2
= {(cid:4) ∈ M1 | h
= {(cid:4) ∈ M2 | h
= {(cid:4) ∈ M1,2 | max{h
G1((cid:4)1) = 1},
G2((cid:4)2) = 1},
G1((cid:4)1), h
G2((cid:4)2)} = 1}.
Our model space is the union of these sets. Specifically, we define
(cid:2)M1
(G) = M1(G) ∪ M1
1
∪ M1
2
∪ M1
1,2.
(10.8)
Using (4.2), we see that each partial derivative of FG extends to a bounded continuous
function on (cid:2)M(G). The naturality of these extensions is the same as in Lemma 9.3.
Even more, the inner product (cid:18)(cid:4), ∇FG((cid:4))(cid:19) has a continuous extension as was the case
in Lemma 9.4.
LEMMA 10.4. The function (cid:4) (cid:12)→ (cid:18)(cid:4), ∇FG((cid:4))(cid:19) has a continuous extension to (cid:2)M(G). This
extension is such that the following statements hold.
(1)
If i ∈ {1, 2} and (cid:4) ∈ Mi, then
(cid:18)(cid:4), ∇FG((cid:4))(cid:19) = (cid:18)(cid:4)i, ∇FGi ((cid:4)i)(cid:19).
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786
T. Aougab et al
(2)
If (cid:4) ∈ M1,2, then
(cid:18)(cid:4), ∇FG((cid:4))(cid:19) = FG2((cid:4)2)(cid:18)(cid:4)1, ∇FG1((cid:4)1)(cid:19) + FG1((cid:4)1)(cid:18)(cid:4)2, ∇FG2((cid:4)2)(cid:19).
(3) For all (cid:4) ∈ (cid:2)M(G), we have (cid:18)(cid:4), ∇FG((cid:4))(cid:19) ≥ 0 with equality if and only if h
G1((cid:4)1) =
h
G2((cid:4)2) = 1.
Proof. From Lemma 4.4(3) and the expression for ∂eFG((cid:4)) in (4.2), we see that there
is a constant A > 0 such that 0 < ∂eFG((cid:4)) ≤ A exp(−(cid:4)(e)) for any edge e ∈ E+. The
existence of the continuous extension now follows for the same reason as for Lemma 9.4.
If (cid:4)1 = ∞ · 1, then Y ((cid:4)) = 0. Indeed, this follows as every simple cycle in G that
contains e0 must also contain an edge in G1 as e0 is separating. Likewise, if (cid:4)2 = ∞ · 1,
then Y ((cid:4)) = 0 as well. Hence ∂e0FG((cid:4)) = 2 exp(−2(cid:4)0)Y ((cid:4)) = 0 for (cid:4) ∈ Mi when i =
1, 2. This, together with the paragraph above, shows (1).
Using Lemma 10.1, we compute the following expression for (cid:18)(cid:4), ∇FG((cid:4))(cid:19):
(cid:18)(cid:4), ∇FG((cid:4))(cid:19) = FG2((cid:4)2)(cid:18)(cid:4)1, ∇FG1((cid:4)1)(cid:19) + FG1((cid:4)1)(cid:18)(cid:4)2, ∇FG2((cid:4)2)(cid:19)
− exp(−2(cid:4)0)((cid:18) ˆ(cid:4), ∇Y ( ˆ(cid:4))(cid:19) − 2(cid:4)0Y ( ˆ(cid:4)))
From this (2) is apparent.
As (cid:18)(cid:4), ∇FG((cid:4))(cid:19) > 0 for all (cid:4) ∈ M1(G) by Lemma 4.4(3), the extension is clearly
non-negative. Statement (3) now follows from (1) and (2) as (cid:18)(cid:4), ∇FGi ((cid:4))(cid:19) > 0 for any
(cid:4) ∈ M1(Gi) again by Lemma 4.4(3) and FGi ((cid:4)) > 0 for any (cid:4) ∈ M1(Gi) if h(Gi)((cid:4)) < 1
by Lemma 4.9.
Next we partition (cid:2)M1
points, respectively:
(G) into two subsets that we call the singular points and regular
(cid:2)M1
(cid:2)M1
(G)sing = {(cid:4) ∈ (cid:2)M1
(G)reg = (cid:2)M1
(G) | h
(G) − (cid:2)M1
G1((cid:4)1) = h
(G)sing.
G2((cid:4)2) = 1},
Notice that (cid:2)M1
(G)sing is a subset of M1
1,2.
As in §9.1, we also define the tangent bundle T (cid:2)M1
(G) to be the subspace
(G) × R|E+| where (cid:18)v, ∇FG((cid:4))(cid:19) = 0. There are obvious embeddings
(G) for i = 1, 2 defined using εi : M1(Gi) → Mi as in
(G)reg.
of ((cid:4), v) ∈ (cid:2)M1
T εi : T M1(Gi) → T (cid:2)M1
§9.1. We define T (cid:2)M1
Proposition 4.6 together with Lemma 10.4 implies the following proposition.
reg(G) to be the subset of ((cid:4), v) ∈ T (cid:2)M1
(G) where (cid:4) ∈ (cid:2)M1
PROPOSITION 10.5. The entropy norm (cid:21)(cid:2)(cid:21)h,G : T M1(G) → R extends to a continuous
semi-norm (cid:21)(cid:2)(cid:21)h,G : T (cid:2)M1
(G)reg → R. Moreover, the embedding maps T εi : T M1(Gi) →
T (cid:2)M1
(G) are norm-preserving.
As in §9.1, we have the following proposition that shows us that there is a map from
(G) to the completion of M1(G) with respect to the entropy metric.
(cid:2)M1
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PROPOSITION 10.6. The following statements hold.
The entropy norm defines a pseudo-metric dh,G on (cid:2)M1
∪ M1
(1)
(2) We have diam(M1
1
1,2) = 0.
The inclusion (M1(G), dh,G) → ((cid:2)M1
∪ M1
2
(3)
(G).
(G), dh,G) is an isometric embedding.
Proof. As in Proposition 9.6, we need to show that for any (cid:4), (cid:4)(cid:17) ∈ (cid:2)M1
(cid:4)t : [0, 1] → (cid:2)M(G) with (cid:4)0 = (cid:4) and (cid:4)1 = (cid:4)(cid:17) that has finite length.
(G) there is a path
M1
1,2.
2 or (cid:4)(cid:17) ∈ M1
To this end, fix a point (cid:4) ∈ M1(G). There are several cases depending on whether (cid:4)(cid:17) ∈
1, (cid:4)(cid:17) ∈ M1
We first deal with the case that (cid:4)(cid:17) ∈ M1
G1(((cid:4)(cid:17))1) = 1. In Proposition 10.2 we produced a path (cid:4)t : [0, 1] → (cid:2)M1
h
M1(G) and (cid:4)1 ∈ M1,2 is such that (cid:4)1
1
˜(cid:4)t : [0, 1] → M1
1,2 from (cid:4)1 to (cid:4)(cid:17) in M1
˜(cid:4)t = (∞, (cid:4)1
1,2. Without loss of generality we assume that
(G) where (cid:4)0 ∈
= ((cid:4)(cid:17))1. We can concatenate the path (cid:4)t with a path
1,2 as follows. We define the path by
1, (1 − t) · (cid:4)2
1
and we observe that ˜(cid:4)0 = (cid:4)1 to ˜(cid:4)1 = (cid:4)(cid:17). Note that by the convexity of entropy we have that
(cid:17)
+ t · ((cid:4)
)2)
h
G2((1 − t) · (cid:4)2
1
+ t · ((cid:4)
(cid:17)
)2) ≤ 1
with equality only possible at the endpoints. Hence the interior of the path ˜(cid:4)t lies in
(cid:2)M1
(G)reg. Further,
(cid:21)( ˜(cid:4)t ,
˙˜(cid:4)t )(cid:21)h,G = 0
as the length of edges in G2 is changing linearly. Hence there is a path of finite length from
a length function in M1(G) to any length function in M1
Next, we deal with the case that (cid:4)(cid:17) ∈ M1; the case of (cid:4)(cid:17) ∈ M2 is symmetric. We will
show that we can connect (cid:4)(cid:17) to a length function in M1,2 with a concatenation of two
paths that have finite length—in fact each has length 0. Let (cid:4)(cid:17)(cid:17) ∈ M(G2) have entropy less
than 1. The paths ((cid:4)1)t and ((cid:4)2)t are as follows:
1,2.
((cid:4)1)t : [0, ∞] → (cid:2)M1
((cid:4)2)t : [0, ∞] → (cid:2)M1
(G)
(G)
(cid:17)
((cid:4)1)t = (((cid:4)
((cid:4)2)t = (∞, ((cid:4)
(cid:17)
)0 + t, ((cid:4)
(cid:17)
(cid:17)
)1, ((cid:4)
)1, ∞ · 1),
)2 + t · 1).
The concatenation of ((cid:4)1)t |[0, ∞] and ((cid:4)2)t |[∞, 0] is a path from (cid:4)(cid:17) to (cid:4)(cid:17)(cid:17). We observe
that ( ¨(cid:4)1)t = 0 and ( ¨(cid:4)2)t = 0 as edge lengths are changing linearly. Also, we observe that
the interiors of these paths lie in (cid:2)M1
(G)reg. Hence (cid:21)(((cid:4)k)t , ( ˙(cid:4)k)t )(cid:21)h,G = 0 for k = 1, 2
showing that the paths have finite—in fact zero—length.
This shows (10.6).
The previous argument shows that for any (cid:4) ∈ M1
1,2 such that
dh,G((cid:4), (cid:4)(cid:17)) = 0. Likewise the analogous statement holds for (cid:4) ∈ M1
2. Given, (cid:4), (cid:4)(cid:17) ∈ M1,2,
we will show that dh,G((cid:4), (cid:4)(cid:17)) = 0, completing the proof of (10.6). There are four cases
depending on the entropies of the length functions (cid:4)1, (cid:4)2, ((cid:4)(cid:17))1 and ((cid:4)(cid:17))2.
1, there is an (cid:4)(cid:17) ∈ M1
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The first case we consider is when h
G1((cid:4)1) = 1 and h
G2(((cid:4)(cid:17))2) = 1. In this case we
consider the concatenation of the two paths ((cid:4)1)t and ((cid:4)2)t that are defined as follows:
((cid:4)1)t : [0, 1] → (cid:2)M1
((cid:4)2)t : [0, 1] → (cid:2)M1
(G)
(G)
((cid:4)1)t = (∞, (cid:4)1, (1 − t) · (cid:4)2 + t · ((cid:4)
((cid:4)2)t = (∞, (1 − t) · (cid:4)1 + t · ((cid:4)
(cid:17)
(cid:17)
)2),
(cid:17)
)1, ((cid:4)
)2).
As above, the interiors of these paths lie in (cid:2)M1
lengths of edges are changing linearly. This completes this case.
(G)reg and they have length 0 since the
The case where h
G2((cid:4)2) = 1 and h
Next we consider the case where h
G1(((cid:4)(cid:17))1) = 1 is similar.
G1((cid:4)1) = 1 and h
G1(((cid:4)(cid:17))1) = 1. Fix a length function
(cid:4)(cid:17)(cid:17) ∈ M1
G2(((cid:4)(cid:17)(cid:17))2) = 1. By the first argument, we can connect both (cid:4) and (cid:4)(cid:17) to (cid:4)(cid:17)(cid:17)
with paths of length 0. Concatenating these two paths shows that this case holds as well.
1,2 with h
G2((cid:4)2) = 1 and h
The case where h
This completes the proof of (10.6).
We observe that any path in (cid:2)M1
G2(((cid:4)(cid:17))2) = 1 is similar.
10.5, we have that the inclusion (M1(G), dh,G) → ((cid:2)M1
ding, hence (10.6) holds.
(G) is close to a path in M1(G). Thus by Proposition
(G), dh,G) is an isometric embed-
11. X1(Rr , id) has bounded diameter in X1(Fr )
In this section we make use of the collapsing phenomena witnessed in the previous section
to show that even though (M1(Rr ), dh,Rr ) has infinite diameter (Proposition 7.14), the
subspace (X1(Rr , id), dh) ⊂ (X1(Fr ), dh) has bounded diameter. The idea is as follows.
Using the natural bijection M1(Rr ) ↔ X1(Rr , id), since (cid:2)M1
(Rr ) is the completion
of (M1(Rr ), dh,Rr ) (§9) there is a map (cid:6) : (cid:2)M1
(Fr ) is the
completion of (X1(Fr ), dh). Indeed, if a sequence ((cid:4)n) ⊂ (M1(Rr ), dh,Rr ) is Cauchy, then
so is its image under (cid:6) in (X1(Fr ), dh) as (cid:6) is 1-Lipschitz. As (cid:2)M1
(Rr ) is homeomorphic
to the complement of the vertices of an (r − 1)-simplex, we can consider (cid:6) as the map
(cid:6) : (cid:7)r−1 − V → (cid:3)X1
(Fr ) where (cid:7)r−1 is the standard (r − 1)-dimensional simplex and
V ⊂ (cid:7)r−1 is the set of vertices. We will show that the map (cid:6) extends to the vertex
set V. Since the image (cid:6)((cid:7)r−1) is compact and contains X1(Rr , id), it follows that
(X1(Rr , id), dh) has bounded diameter.
(Fr ) where (cid:3)X1
(Rr ) → (cid:3)X1
(cid:23)
This is accomplished by considering M1(Rr ) as the face of M1(G) for a particular
graph G that has a separating edge and using the tools developed in §10. Lemma 11.1
{MS | 1 < |S| < r − 1} ⊂ (cid:2)M1
(Rr ) is collapsed to a single
establishes that the subset
⊂ (cid:2)M1
point in the completion of (X1(Fr ), dh). We recall that M1
(Rr ) is the subset of
S
unit-entropy length functions on the subrose R|S| ⊆ Rr utilizing the edges in S ⊆ [r]; the
length of an edge in [r] − S is ∞. The subset M1
S corresponds to an (|S| − 1)-dimensional
face of (cid:7)r−1. Thus Lemma 11.1 shows that the entire (r − 3)-skeleton of (cid:7)r−1 is collapsed
to a point by (cid:6) in (cid:3)X1
(Fr ).
LEMMA 11.1. For r ≥ 4, (cid:6) maps the subset
single point in (cid:3)X1
(Fr ).
(cid:23)
{MS | 1 < |S| < r − 1} ⊂ (cid:2)M1
(Rr ) to a
https://doi.org/10.1017/etds.2021.165 Published online by Cambridge University Press
Thermodynamic metrics on outer space
789
e1
1
e1
2
e2
1
e2
2
v1
e0
v2
e1
n1
e2
n2
FIGURE 7. The graph Gn1,n2 : there are n1 loop edges attached to v1 and n2 loop edges attached to v2.
Proof. Fix r ≥ 4 and let S be a subset of [r] with 1 < |S| < r − 1. To begin, we claim that
the image of M1
(Fr ). To this end, we set n1 = |S| and n2 = r − |S|.
Notice that n1, n2 ≥ 2. Let Gn1,n2 be the graph that consists of two vertices v1 and v2, and
edges e0, e1
. The edges are attached via the following table.
S is a single point in (cid:3)X1
and e2
1, . . . , e1
n1
1, . . . , e2
n2
o
v1
v1
v2
τ
v2
v1
v2
e0
e1
i
e2
i
See Figure 7. We adopt the notation introduced in §10 for Gn1,n2.
Let c : Gn1,n2
→ Rr be the map induced by collapsing the edge e0 and let ρ : Rr →
Gn1,n2 be a map so that c ◦ ρ is homotopic to id : Rr → Rr . Thus
(cid:17)
X1(Rr , id) ⊂ X1
Specifically, viewing X1
is the image of the embedding ε : M1(Rr ) → [0, ∞)1+n1+n2 where ε((cid:4))0 = 0.
(Gn1,n2 , ρ) = {[(G, ρ
(Gn1,n2, ρ) as a subset of [0, ∞)1+n1+n2, we see that X1(Rr , id)
, (cid:4))] ∈ X(Gn1,n2, ρ) | h
G((cid:4)) = 1}.
Moreover, ε extends to an embedding (cid:2)M1
S) is the face of M1
1
S. By Proposition 10.6(2), the set M1
1 is homeomorphic to (0, ∞] × M1
(Fr ). Hence so does M1
S, completing the proof of our claim.
(Rr ) → [0, ∞]1+n1+n2 in the same way.
⊂ (cid:2)M1
(Gn1,n2) ⊂ [0, ∞]1+n1+n2. Indeed,
1 maps
Under this embedding, ε(M1
the set M1
to a single point in (cid:3)X1
As the diameter of the thin part goes to zero as the short edge goes to zero
(Proposition 9.8), the point that M1
S is sent to is independent of S.
The main result of this section now follows easily.
PROPOSITION 11.2. For r ≥ 4,
bounded diameter.
the subspace (X1(Rr , id), dh) ⊂ (X1(Fr ), dh) has
Proof. As explained above in the introduction to this section, by Theorem 1.2, there is a
map (cid:6) : (cid:7)r−1 − V → (cid:3)X1
(Fr ). By Lemma 11.1, the map (cid:6) extends to V and the entire
https://doi.org/10.1017/etds.2021.165 Published online by Cambridge University Press
790
e1
2
e1
1
e1
r−2
Γr
e2
0
e2
1
e2
2
v
w
T. Aougab et al
(cid:2)Γr
v1
v2
e0
e1
1
e1
2
e1
r−2
e2
0
e2
1
e2
2
w
FIGURE 8. The graphs (cid:19)r and (cid:3)(cid:19)r . In (cid:19)r there are r − 2 loop edges attached to v and three edges connecting
v to w. In (cid:3)(cid:19)r , there are r − 2 loop edges attached to v1, three edges connecting v2 to w and a separating edge
connecting v1 to v2.
(r − 3)-skeleton of (cid:7)r−1 is mapped to a single point. As (cid:7)r−1 is compact, (cid:6)((cid:7)r−1)
is compact and hence has bounded diameter. Thus X1(Rr , id) ⊂ (cid:6)((cid:7)r−1) ⊂ X1(F) has
bounded diameter too.
12. Proof of Theorem 1.3
The goal of this final section is the proof of the last of the main results. Theorem 1.3 states
that the Out(Fr )-invariant subcomplex (X1(Rr , id) · Out(Fr ), dh) has bounded diameter
and, moreover, that the action of Out(Fr ) on the completion of (X1(Fr ), dh) has a global
{MS | 1 < |S| < r − 1} for any marking of the
fixed point. This point is the image of
rose. We show that the image of this point in the completion is independent of the marking.
This is done by showing that it is independent for markings that differ by a single simple
move—we call such markings Nielsen adjacent. This is accomplished again by making
use of a graph with a separating edge and the analysis in §10. This simple move suffices to
connect any two markings and the theorem easily follows.
(cid:23)
Proof of Theorem 1.3. Given a marked rose (Rr , ρ), there is an embedding (cid:6)ρ : M1
(Rr )→X1(Fr ) whose image is X1(Rr , ρ). As in §11, this map extends to (cid:6)ρ : (cid:2)M1
(Rr ) →
(cid:3)X1
(Fr ) is the completion of X1(Fr ) with the entropy metric. By
| 1 < |S| < r − 1} to a single point in (cid:3)X1
(Fr ). Let xρ
(cid:23)
(Fr ) where (cid:3)X1
Lemma 11.1, (cid:6)ρ maps
denote this point in X(F).
{M1
S
Given an integer r > 2, we define a graph (cid:19)r that has two vertices v and w, and edges
1, . . . , e1
e1
3. The edges are attached via the following table.
r−2 and e2
1, e2
0, e2
o
v
τ
v
v w
e1
i
e2
i
See Figure 8. We call such a graph a rose-theta graph.
https://doi.org/10.1017/etds.2021.165 Published online by Cambridge University Press
Thermodynamic metrics on outer space
791
Given i ∈ {0, 1, 2}, collapsing the edge e2
i induces a map ci : (cid:19)r → Rr . We say two
marked roses (Rr , ρ1) and (Rr , ρ2) are Nielsen adjacent if there is a marked rose-theta
graph ((cid:19)r , ρ) such that ρi (cid:5) ci ◦ ρ for i = 1, 2 for some collapses ci : (cid:19)r → Rr . Given
any two marked roses, (Rr , ρ) and (Rr , ρ(cid:17)), it is well known that there is a sequence of
markings ρ = ρ1, . . . , ρn = ρ(cid:17) such that (Rr , ρi−1) and (Rr , ρi) are Nielsen adjacent for
i = 2, . . . , n. For instance, see [14].
We will prove the theorem by showing that if (Rr , ρ1) and (Rr , ρ2) are Nielsen adjacent,
= xρ2. Notice that the collection {xid·φ} is invariant under the action by Out(Fr ).
then xρ1
Hence this also shows that the action of Out(Fr ) on (cid:3)X1
(Fr ) has a global fixed point.
To this end, let ((cid:19)r , ρ) be the marked rose-theta graph such that ρi (cid:5) ci ◦ ρ. We need
to introduce a separating edge to take advantage of the shortcuts utilized in §10. Let (cid:3)(cid:19)r be
the graph obtained from blowing up the vertex v in (cid:19)r . Specifically, in (cid:3)(cid:19)r there are three
vertices v1, v2 and w, and edges e0, e1
1, . . . , e1
3. The edges are attached
via the following table.
r−2 and e2
1, e2
0, e2
o
v1
v1
τ
v2
v1
v2 w
e0
e1
i
e2
i
See Figure 8. We adopt the notation from §10 for (cid:3)(cid:19)r .
Let c : (cid:3)(cid:19)r → (cid:19)r be the map that collapses the edge e0. There is a marking ˆρ : Rr →
((cid:3)(cid:19)r , ˆρ) as a subset of [0, ∞]r+2, there are two
(Rr ) → [0, ∞]r+2 where
(cid:3)(cid:19)r such that c ◦ ˆρ (cid:5) ρ. Viewing X1
embeddings corresponding to ρ1 and ρ2 denoted ε1, ε2 : (cid:2)M1
εi((cid:4))0 = εi((cid:4))(e2
i ) = 0 for i = 1, 2.
Let S ⊂ [r] denote the set of edges {ci(e1
S) and ε2(M1
= xρ2.
is independent of i. Both ε1(M1
Proposition 10.6(2), we have that xρ1
1), . . . , ci(e1
S) are faces of M1
1,2
r−2)} in Rr . Notice that this set
((cid:3)(cid:19)r ). Hence by
⊂ (cid:2)M1
Acknowledgements. The authors thank the Institute for Computational and Experimental
Research in Mathematics (ICERM) for hosting the workshop Effective and Algorithmic
Methods in Hyperbolic Geometry and Free Groups, at which work on this project began.
We also thank Jing Tao for suggesting Question 1.8 and the referee for a careful reading
and for helpful comments. The first author is supported by NSF grant DMS-1807319. The
second author is supported by Simons Foundation Grant No. 316383. The third author is
supported by Simons Foundation Grant No. 637880.
REFERENCES
[1] Y. Algom-Kfir. Strongly contracting geodesics in outer space. Geom. Topol. 15(4) (2011), 2181–2233.
[2] Y. Algom-Kfir and M. Bestvina. Asymmetry of outer space. Geom. Dedicata 156 (2012), 81–92.
https://doi.org/10.1017/etds.2021.165 Published online by Cambridge University Press
792
T. Aougab et al
[3] Y. Algom-Kfir, E. Hironaka and K. Rafi. Digraphs and cycle polynomials for free-by-cyclic groups. Geom.
[4] L. Bers. An extremal problem for quasiconformal mappings and a theorem by Thurston. Acta Math.
Topol. 19(2) (2015), 1111–1154.
141(1–2) (1978), 73–98.
[5] M. Bestvina. The topology of Out(Fn). Proc. Int. Congr. of Mathematicians, Vol. II (Beijing, 2002).
Ed. T. Li. Higher Education Press, Beijing, 2002, pp. 373–384.
[6] M. Bestvina. A Bers-like proof of the existence of train tracks for free group automorphisms. Fund. Math.
214(1) (2011), 1–12.
[7] M. Bestvina and M. Feighn. Outer limits. Preprint, 1992, https://www.math.utah.edu/~bestvina/eprints/
bestvina.feighn..outer_limits.pdf.
[8] M. Bestvina and M. Feighn. Hyperbolicity of the complex of free factors. Adv. Math. 256 (2014),
104–155.
[9] R. Bowen. Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms (Lecture Notes in
Mathematics, 470), revised edition. Springer-Verlag, Berlin, 2008.
[10] M. Bridgeman. Hausdorff dimension and the Weil–Petersson extension to quasifuchsian space. Geom.
[11] M. Bridgeman, R. Canary, F. Labourie and A. Samborino. The pressure metric for Anosov representations.
Topol. 14(2) (2010), 799–831.
Geom. Funct. Anal. 25(4) (2015), 1089–1179.
[12] M. M. Cohen and M. Lustig. Very small group actions on R-trees and Dehn twist automorphisms. Topology
[13] M. Culler and J. W. Morgan. Group actions on R-trees. Proc. Lond. Math. Soc. (3) 55(3) (1987), 571–604.
[14] M. Culler and K. Vogtmann. Moduli of graphs and automorphisms of free groups. Invent. Math. 84(1)
[15] D. Cvetkovi´c and P. Rowlinson. The largest eigenvalue of a graph: a survey. Linear Multilinear Algebra
34(3) (1995), 575–617.
(1986), 91–119.
28(1–2) (1990), 3–33.
[16] G. Daskalopoulos and R. Wentworth. Classification of Weil–Petersson isometries. Amer. J. Math. 125(4)
(2003), 941–975.
[17] M. Dehn. Papers on Group Theory and Topology. Springer-Verlag, New York, 1987, translated from the
German and with introductions and an appendix by J. Stillwell, with an appendix by O. Schreier.
[18] S. Dowdall and S. J. Taylor. Hyperbolic extensions of free groups. Geom. Topol. 22(1) (2018), 517–570.
[19] B. Farb and L. Mosher. Convex cocompact subgroups of mapping class groups. Geom. Topol. 6 (2002),
91–152.
[20] S. Francaviglia and A. Martino. Metric properties of outer space. Publ. Mat. 55(2) (2011), 433–473.
[21] V. Guirardel and G. Levitt. Deformation spaces of trees. Groups Geom. Dyn. 1(2) (2007), 135–181.
[22] L.-Y. Kao. Pressure type metrics on spaces of metric graphs. Geom. Dedicata 187 (2017), 151–177.
[23] I. Kapovich and T. Nagnibeda. The Patterson–Sullivan embedding and minimal volume entropy for outer
space. Geom. Funct. Anal. 17(4) (2007), 1201–1236.
[24] I. Kapovich and I. Rivin. On the absence of McShane-type identities for the outer space. J. Algebra 320(10)
(2008), 3659–3670.
[25] H. Masur and M. Wolf. The Weil–Petersson isometry group. Geom. Dedicata 93 (2002), 177–190.
[26] H. A. Masur and Y. N. Minsky. Geometry of the complex of curves. I. Hyperbolicity. Invent. Math. 138(1)
(1999), 103–149.
[27] C. T. McMullen. Thermodynamics, dimension and the Weil–Petersson metric. Invent. Math. 173(2) (2008),
[28] C. T. McMullen. Entropy and the clique polynomial. J. Topol. 8(1) (2015), 184–212.
[29] W. Parry and M. Pollicott. Zeta functions and the periodic orbit structure of hyperbolic dynamics. Astérisque
365–425.
187–188 (1990), 268.
[30] F. Paulin. The Gromov topology on R-trees. Topology Appl. 32(3) (1989), 197–221.
[31] M. Pollicott and R. Sharp. A Weil–Petersson type metric on spaces of metric graphs. Geom. Dedicata 172
(2014), 229–244.
[32] D. Ruelle. Thermodynamic Formalism: The Mathematical Structures of Classical Equilibrium Statistical
Mechanics (Encyclopedia of Mathematics and Its Applications, 5). Addison-Wesley, Reading, MA, 1978,
with a foreword by G. Gallavotti and G.-C. Rota.
[33] J.-P. Serre. Trees (Springer Monographs in Mathematics). Springer-Verlag, Berlin, 2003, translated from
the French original by J. Stillwell, corrected 2nd printing of the 1980 English translation.
[34] W. P. Thurston. Minimal stretch maps between hyperbolic surfaces. Preprint, 1998, arXiv:math/9801039.
[35] K. Vogtmann. Automorphisms of free groups and outer space. Geom. Dedicata 94 (2002), 1–31.
[36] S. Wolpert. Noncompleteness of the Weil–Petersson metric for Teichmüller space. Pacific J. Math. 61(2)
(1975), 573–577.
https://doi.org/10.1017/etds.2021.165 Published online by Cambridge University Press
Thermodynamic metrics on outer space
793
[37] S. Wolpert. Thurston’s Riemannian metric for Teichmüller space. J. Differential Geom. 23(2) (1986),
143–174.
[38] S. A. Wolpert. The Weil–Petersson metric geometry. Handbook of Teichmüller Theory, Volume II (EMS
IRMA Lectures in Mathematics and Theoretical Physics, 13). Ed. A. Papadopoulos. European Mathematical
Society, Zürich, 2009, pp. 47–64.
[39] B. Xu. Incompleteness of the pressure metric on the Teichmüller space of a bordered surface. Ergod. Th. &
Dynam. Sys. 39(6) (2019), 1710–1728.
https://doi.org/10.1017/etds.2021.165 Published online by Cambridge University Press
| null |
10.1371_journal.pone.0227230.pdf
|
Data Availability Statement: All relevant data are
within the manuscript and its Supporting
Information files.
|
All relevant data are within the manuscript and its Supporting Information files.
|
RESEARCH ARTICLE
Optogenetically induced cellular habituation
in non-neuronal cells
Mattia BonzanniID
1, Nicolas Rouleau1, Michael Levin2, David L. KaplanID
1*
a1111111111
a1111111111
a1111111111
a1111111111
a1111111111
OPEN ACCESS
Citation: Bonzanni M, Rouleau N, Levin M, Kaplan
DL (2020) Optogenetically induced cellular
habituation in non-neuronal cells. PLoS ONE 15(1):
e0227230. https://doi.org/10.1371/journal.
pone.0227230
Editor: Mark S. Shapiro, University of Texas Health
Science Center, UNITED STATES
Received: September 5, 2019
Accepted: December 13, 2019
Published: January 17, 2020
Peer Review History: PLOS recognizes the
benefits of transparency in the peer review
process; therefore, we enable the publication of
all of the content of peer review and author
responses alongside final, published articles. The
editorial history of this article is available here:
https://doi.org/10.1371/journal.pone.0227230
Copyright: © 2020 Bonzanni et al. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
Data Availability Statement: All relevant data are
within the manuscript and its Supporting
Information files.
Funding: Funded by 1) ML and DK, No. 12171,
Paul G. Allen Frontiers Group, https://alleninstitute.
1 Department of Biomedical Engineering, Allen Discovery Center, Tufts University, Medford, United States of
America, 2 Department of Biology, Allen Discovery Center, Tufts University, Medford, United States of
America
* david.kaplan@tufts.edu
Abstract
Habituation, defined as the reversible decrement of a response during repetitive stimulation,
is widely established as a form of non-associative learning. Though more commonly
ascribed to neural cells and systems, habituation has also been observed in single aneural
cells, although evidence is limited. Considering the generalizability of the habituation pro-
cess, we tested the degree to which organism-level behavioral and single cell manifesta-
tions were similar. Human embryonic kidney (HEK) cells that overexpressed an optogenetic
actuator were photostimulated to test the effect of different stimulation protocols on cell
responses. Depolarization induced by the photocurrent decreased successively over the
stimulation protocol and the effect was reversible upon withdrawal of the stimulus. In addi-
tion to frequency- and intensity-dependent effects, the history of stimulations on the cells
impacted subsequent depolarization in response to further stimulation. We identified tetra-
ethylammonium (TEA)-sensitive native K+ channels as one of the mediators of this habitua-
tion phenotype. Finally, we used a theoretical model of habituation to elucidate some
mechanistic aspects of the habituation response. In conclusion, we affirm that habituation is
a time- and state-dependent biological strategy that can be adopted also by individual non-
neuronal cells in response to repetitive stimuli.
Introduction
The behavioral manifestation of habituation is intuitive and can be simplified as a reversible
asymptotic response decrement after repeated stimulations [1]. The seminal work of Thomp-
son and Spencer [2] delineated the original characteristics of habituation which remain largely
unchanged today [1]. The principal features, which are now succinctly summarized in ten
points by Rankin and colleagues [1], represent the gold standard for the definition of behav-
ioral habituation in organisms. Briefly, the habituation profile is, in most cases, an exponen-
tial-like curve and, most importantly, the decremental response is reversible–a condition that
distinguishes habituation from fatigue. The dependence of the habituation profile upon the
parameters of the stimulus cannot be overstated. Indeed, they are affected by both the intensity
and frequency of stimulation as well as by the stimulation history (i.e., series of stimulation]. A
PLOS ONE | https://doi.org/10.1371/journal.pone.0227230 January 17, 2020
1 / 14
org/what-we-do/frontiers-group/. 2) M.L, No.
TWCF0089/AB55, Templeton World Charity
Foundation, https://www.templetonworldcharity.
org/. 3) D.K., P41EB002520, National Institutes of
Health, https://www.nih.gov/. The funders had no
role in study design, data collection and analysis,
decision to publish, or preparation of the
manuscript.
Competing interests: The authors have declared
that no competing interests exist.
Habituation in single non-excitable cells
generalizable mechanism for this phenomenon, however, is still lacking. So far, the dual pro-
cess theory, proposed by Groves and Thompson [3], the stimulus-model comparator by Soko-
lov [4] and the “negative-image model” by Ramaswami [5] are the most prominent theories
which offer explanatory value. The formulation of a general hypothesis that explains the pro-
cess is challenging, mainly due to the multivariate cellular mechanisms that underlie the pro-
cesses. In order to overcome this difficulty, we recently proposed a model of habituation that
does not require a priori knowledge of the system’s biological components [6]. Interestingly,
some features of habituation can also be detected in non-neuronal system, [7] [8] [9] [10]. The
evolutionary and cell-biological origins of learning are nowadays the focus of an emerging
field—basal cognition; recent and classic work has sought to identify and mechanistically char-
acterize primitive forms of learning in non-neural biological systems[11, 12]. So far, a clear
understanding of the potential general nature of the habituation process has not been achieved.
We took advantage of the overexpression of channelrodopsin2 (ChR2) to optogenetically stim-
ulate human embryonic kidney (HEK) cells to highlight, if present, the fundamental similari-
ties between behavioral and cellular manifestations of the habituation response and to
potentially reveal new findings that can lead to a mechanistic understanding of the process
itself. Here, we explored the first five of the ten points listed in the paper by Rankin and col-
leagues (as the last five points refer to special cases or instances with more than one stimulus)
in the in vitro aneural system. We found that the system responded to the repetitive stimula-
tion with a reversible asymptotical, exponential-like profile; moreover, the cell system response
was stimulation-dependent. This indicates that responses associated with single non-neuronal
cells share a high degree of similarity with behavioral manifestations of habituation.
Material and methods
Cell culture and transfection
For electrophysiological recordings, human embryonic kidney (HEK) cells were maintained in
DMEM high glucose (Thermofisher) supplemented with 10% of fetal bovine serum (FBS;
Gibco) and 2 mM of L-Glutamine (Sigma) at 37 C in a 5% C02 incubator. HEK were plated in
35 mm dishes and transfected with 1.5 μg of the pcDNA3.1/hChR2(H134R)-mCherry plasmid
(Addgene #20938) using LipofectamineTM 3000 (Thermofisher) accordingly manufacturer
instructions. After 24–36 hours, mCherry-expressing cells were selected for patch clamp
analysis.
Electrophysiology and optogenetic stimulation
Patch clamp experiments in the whole-cell configuration were carried out 24–36 hours post-
transfection on mCherry-expressing cells at room temperature. HEK cells were superfused
with an extracellular-like solution containing (mM): NaCl 140, KCl 5.4, CaCl2 1.8, MgCl2 1,
Hepes-NaOH 10, Glucose 5.5, pH = 7.4. The pipette (7–9 MO) were filled with an intracellu-
lar-like solution containing (mM): K-Asp 130, NaCl 10, EGTA-KOH 5, MgCl2 2, CaCl2 2,
ATP (Na2-salt) 2, creatine phosphate 5, GTP 0.1, Hepes-KOH 10; pH 7.2. Optogenetic stimula-
tion was delivered by the OptoPatcher system using LSD-1 light stimulation device (ALA Sci-
entific Instruments) as previously described [13]. Data acquisition and light triggering were
controlled with pCLAMP software via DigiData 1440A interfaces (Molecular Devices). The
channelrodopsin (ChR2) photocurrent was measured under voltage-clamp conditions from a
holding potential of 0 mV applying concomitantly hyperpolarizing test steps in the range 0/-90
mV and high-intensity illumination for 2600 ms. Peak and stationary currents were normal-
ized by cell capacitance. Patch-clamp currents were acquired with a sampling rate of 4 kHz
without lowpass filter. Neither series resistance compensation nor leak or liquid junctional
PLOS ONE | https://doi.org/10.1371/journal.pone.0227230 January 17, 2020
2 / 14
Habituation in single non-excitable cells
potential corrections were applied. The light stimulation was delivered for 20 s as pulse train
(or cosine wave) in I/0 configuration at three different frequencies (in Hz: 0.5; 1; 2) and three
intensities (Low: 1V; Middle: 2V; High: 5V. Voltage values referrers to the LSD-1 light stimula-
tion device). The mono-exponential decay fitting was used to calculate the percentage of depo-
larization at the steady state and the tau of habituation (τH), defined as the number of events/
time necessary to reach the 37% of the percentage of depolarization at the steady state. The
probability of habituation (p(H)) was defined as 1 if the cell response fitted or 0 if the cell
response did not fit with a mono-exponential fitting.
Statistical analysis
Data were analyzed with Clampfit10 (Axon) and Origin Pro 9. To test the impact of the stimu-
lation features on the habituation profile, we compared the mean percentage of depolarization
at the steady state and the mean tau of habituation (τH) at different conditions. These two
parameters are sufficient to uniquely describe a mono-exponential profile. Data were com-
pared using either One-Way ANOVA followed by Fisher’s LSD post-hoc test or Student’s T-
test; significance level was set to p = 0.05. Data outliers were excluded using Tukey’s method.
Data were collected from different transfection experiments ranging from a minimum of four
to a maximum of twelve.
Results
Optogenetically-induced depolarizations are reduced by repetitive
stimulation
To explore the habituation process in single aneural cells, human embryonic kidney (HEK)
cells were transfected with a Channelrodopsin2 (ChR2)-expressing plasmid and the functional
expression of the photocurrent was assessed in mCherry-positive cells (S1 Fig). Subsequently,
ChR2-expressing cells were photostimulated (pulse train) and the membrane potential (Vmem)
was simultaneously recorded using a patch clamp approach in the whole cell configuration. A
representative stretch of the Vmem profile during 1Hz/5V light stimulation is shown in Fig 1A,
in which the depolarization induced by the photocurrent (hν, blue lines) is visibly reduced
over time. A similar reduction is also observed when the stimulation was given as cosine waves
rather the pulse train (S2 Fig) suggesting the independence of the cell’s response from the
shape of the delivered stimulation. In the absence of the ChR2 channel expression, the light
stimulation did not induce any change in the Vmem (S3 Fig). The decremental reduction of the
depolarization is summarized in Fig 1B. All data points were normalized by the magnitude of
depolarization of the first event, obtaining the percentage of depolarization (y-axis, Fig 1B);
data were plotted against either the number of events or time. For each profile, the percentage
of depolarization at the steady state and tau of habituation (% of dep. at s.s. and τH, respec-
tively) are computed using a monoexponential decay fitting and used to define the magnitude
(% of dep. at s.s.) and kinetic (τH) characteristics of habituation. By definition, τH is the num-
ber of events or time necessary to reach 37% of the amplitude value (Fig 1B). The observed
asymptotical response reduction during repetitive stimulation is a key feature necessary to
define any habituation profile.
The frequency and intensity of stimulation affects both magnitude and
kinetic of habituation
The frequency and intensity characteristics of the stimulation are well-known modulators of
the habituation. First, we explored the impact of the frequency of stimulation on the
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Habituation in single non-excitable cells
Fig 1. Definition of the habituation profile. A) Representative trace of voltage recorded in the I/0 configuration during a light stimulation at 465 nm (blue lines). B)
Normalized values of depolarization during 20 s of 1Hz/5V stimulation protocol. Monoexponential fitting curve of the plotted data (circle) is shown in red. Percentage
of depolarization at the steady state (% of dep. at s.s.) and tau of habituation (τH) are indicated.
https://doi.org/10.1371/journal.pone.0227230.g001
habituation profile. In Fig 2 (top panel), HEK cells were stimulated at 5V for 20 s at three
different frequencies as indicated (top panel, in Hz: 0.5, 1, 2; black square, purple circle and
green triangle, respectively). The resulting mean traces are shown either superimposed (Fig
2A) or divided (Fig 2B) plotting the number of events on the x-axis. Mean τH and % of dep.
at s.s. values are summarized in Fig 2C and 2D in a frequency-dependent fashion. When we
considered the number of events, other things being equal, higher stimulation frequencies
were associated with a slower kinetic (Fig 2C; p<0.05 among groups) and more pronounced
amplitude (Fig 2D and 2H; p<0.05). On the other hand, when we considered time rather
than events as displayed on the x-axis (S4 Fig), higher stimulation frequency was associated
with a faster kinetic (S4 Fig). From these results, the frequency of stimulation clearly affects
both the kinetic and magnitude of the habituation profile indicating a frequency-dependent
response.
We also explored the impact of different intensities of stimulation on the habituation profile
(bottom panel). HEK cells were stimulated at 1 Hz for 20 s at three different intensities: Low:
1V; Medium:2V; High:5V (bottom panel: black square, purple circle and green triangle,
respectively). The resulting mean traces were shown superimposed (Fig 2E) or separated (Fig
2F) plotting the number of events on the x-axis; mean τH and % of dep. at s.s. values are sum-
marized in Fig 2G and 2H in an intensity-dependent fashion. Other factors being equal, at 1V
the kinetic is significantly slower when compared to both 2V and 5V stimulations (Fig 2G).
Moreover, at 1V the magnitude of habituation is less pronounced (p<0.05) than both 2V and
5V conditions (Fig 2H). Taken together, these results highlight both frequency- and intensity-
dependent behavior of the cellular system.
The recovery profile is frequency-dependent
A hallmark of habituation is the reversibility of the decremental response. We thus explored
the recovery profile from the steady state condition (filled symbols, Fig 3) increasing the recov-
ery time between consecutive series of stimulations. We evaluated the recovery profile in a
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Habituation in single non-excitable cells
Fig 2. The impact of the stimulation features on the habituation profile. HEK cells were stimulated at 5V at three different frequencies as indicated (in Hz: 0.5, black
square; 1, purple circle; 2 green triangle). A) Superimposed (solid line is the mean and colored area the S.E.M.) and B) separated mean profiles are shown plotting the
number of events. C) Mean τH (in events: 0.5Hz: 2.66±1.00, n = 21; 1Hz: 3.43±0.12, n = 43; 2Hz: 4.70±0.16, n = 43) and D) mean % of dep. at s.s. (0.5Hz: 19.87±1.00,
n = 21; 1Hz: 23.00±0.23, n = 43; 2Hz: 29.84±0.19, n = 43) are shown. HEK cells were also stimulated at 1Hz at three different intensities as indicated (Low: 1V black
square; Medium: 2V purple circle; High: 5V green triangle). E) Superimposed and F) separated mean profiles are shown, plotting the number of events. G) Mean τH (in
events: Low: 10.53±3.69, n = 12; Medium: 3.74±0.18, n = 9; High: 3.43±0.12, n = 43) and H) mean % of dep. at s.s. (Low: 16.00±2.96, n = 12; Medium: 21.11±0.32, n = 9;
High: 23.00±0.23, n = 43) are shown in the event-domain. One-way Anova, �p<0.05 vs 0.5Hz or 1V; #p<0.05 vs 1Hz.
https://doi.org/10.1371/journal.pone.0227230.g002
frequency-dependent manner. After reaching the steady state of the habituation profile, we
normalized the following stimulation profile based on the first event of the first stimulation
(filled symbol) and reported on the graph the mean % of depolarization after increasing recov-
ery times (unfilled symbols). In Fig 3A, the mean recovery profiles are shown for 0.5, 1 and
2Hz (square, circle and triangle, respectively). It is clear that the time necessary to reach again
the 100% of the response is frequency-independent (26.7 s). On the other hand, the recovery
trajectory appeared to be conserved at 1Hz and 2Hz and different at 0.5 Hz, suggesting poten-
tial different frequency-dependent mechanisms. We then analyzed both τH (Fig 3B) and the %
of dep. at s.s. (Fig 3C) of the profiles during the consecutive series of stimulation; the x-axis
indicates the resting period between consecutive stimulations and the dotted line represent the
value of the descriptor during the first stimulation (filled symbols). Both descriptors displayed
a frequency signature; it is also interesting to notice that at 3.5 s and 4.2 s (1Hz stimulation)
the kinetic is slower. We also reported the probability to generate a habituation profile (p(H))
(Fig 3D); we found that in all conditions, when examining cases where recovery time is below
2.3s, the probability to generate the habituation profile is null. Taken together, the results indi-
cate that the decremental response was reversible and that, based on the recovery time, the
kinetic and magnitude of the profiles have complex frequency-dependent behavior. Moreover,
the probability to generate a habituation profile during consecutive stimulations is not an
assumption that can be made a priori.
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Habituation in single non-excitable cells
Fig 3. Frequency-dependent recovery profile. HEK cells were stimulated at 5V at three different frequencies (in Hz: 0.5, square, top; 1, circle, middle; 2 triangle,
bottom) for 20s and, after a recovery time, the same frequency protocol was applied. A) Mean profiles and normalized values of the first event (filled symbols) after
different resting periods (unfilled symbols). B) Mean τH (in events) and C) % of dep. at s.s. of the profiles at different recovery times (dot lines indicate the values of the
initial profile). D) Mean bar graphs indicating the probability of habituation profile (p(H)) at different recovery times. Mean values are reported in S1 Table.
https://doi.org/10.1371/journal.pone.0227230.g003
Frequency transitions influence the kinetics of the habituation profile
We then explored what would happen to the cell’s output if the photostimulation suddenly
changed frequency without an intervening rest period. Our aim was to simulate the rhythmic
transition changes that could occur in quasi-periodic biological systems. The mean profile dur-
ing the 1Hz-2Hz-1Hz transition is shown in Fig 4A (1Hz purple; 2Hz green). The mean τH
and % of dep. at s.s. values are summarized in Fig 4B and 4C, respectively. Both the kinetic
profile and magnitude at 2Hz are not affected by the previous 1Hz stimulation; indeed, the val-
ues are not different from the 2Hz stimulation alone (Fig 2). However, after the 2Hz stimula-
tion, the 1Hz profile is faster whereas the magnitude is invariant with respect to the 1Hz
condition alone (Fig 2). Moreover, after the first stimulation, the change of frequency reduces
the probability of generating a habituation profile to 50% (Fig 4D). The mean profile during
the 2Hz-1Hz-2Hz transition is shown in Fig 4E. The first 2Hz stimulation influences the 1Hz
kinetic profile during the 2Hz-1Hz transition as shown in Fig 4F; particularly, the τH is signifi-
cantly slower compared to the 1Hz stimulation alone but, again, reached the same magnitude
with a p(H) of about 60% (Fig 4H). The following 1Hz-2Hz transition did not produce any
habituation profile (Fig 4H). Collectively, these results indicated that the frequency transitions
without resting periods in between affect the kinetic profile but did not affect the magnitude of
the habituation.
Native channels participate in the habituation response
Since habituation and desensitization share the same decremental response over time, we ana-
lyzed the ChR2 photocurrent profile upon stimulation to address any channel-related
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Habituation in single non-excitable cells
Fig 4. Intra-protocol frequency transitions influence the habituation profile. HEK cells were stimulated at 5V at either 1Hz (purple) or 2Hz (green) without a resting
period in between. A) Mean profiles at 1Hz-2Hz-1Hz transition (solid line is the mean and colored area the S.E.M.). B) Mean τH (in events: Alone: 1Hz: 3.43±0.12,
n = 43; 2Hz: 4.70±0.16, n = 43. Transitions: First 1Hz: 3.52±0.71; 2Hz: 6.17±1.02; Second 1Hz: 1.55±0.62, n = 12), C) mean % of dep. at s.s. (Alone: 1Hz: 23.00±0.23,
n = 43; 2Hz: 29.84±0.19, n = 43. Transitions: First 1Hz: 26.16±1.33; 2Hz: 33.56±3.66; Second 1Hz: 20.28±2.61, n = 12) and D) mean bar graphs indicating the probability
of habituation profile (p(H): First 1Hz: 100±0; 2Hz: 55.56±17.57; Second 1Hz: 57.14±20.20, n = 8) are shown. E) Mean profiles at 2Hz-1Hz-2Hz transition (solid line is
the mean and colored area the S.E.M.). F) Mean τH (in events: Alone: 1Hz: 3.43±0.12, n = 43; 2Hz: 4.70±0.16, n = 43. Transitions: First 2Hz: 5.24±0.60; 1Hz: 17.59±7.0,
n = 12) and G) mean % of dep. at s.s. (Alone: 1Hz: 23.00±0.23, n = 43; 2Hz: 29.84±0.19, n = 43. Transitions: First 2Hz: 29.73±1.79; 1Hz: 23.30±1.45, n = 12) and H)
mean bar graphs indicating the probability of habituation profile (p(H): First 1Hz: 100±0; 2Hz: 66.67±21.08; Second 1Hz: 0, n = 12) are shown. Student’s T-test �p<0.05
vs Alone condition.
https://doi.org/10.1371/journal.pone.0227230.g004
desensitization effect. In Fig 5A, representative traces of the photocurrent at -30, -40 and -50
mV (square, circle and triangle, respectively) are shown during the application of the 1Hz,5V
stimulation protocol for 10 seconds (blue lines); we chose three voltage values near the mean
value of the resting potential of HEK cells (-40.75±1.38 mV; n = 58). The steady current was
then analyzed in an event- and voltage-dependent manner. The graph in Fig 5B shows the
mean density current values of the photocurrent during the applied stimulations. No signifi-
cant decrement of the density current appeared during repetitive stimulation. In order to
address any active cell-autonomous processes, we explored the impact of native potassium
channels in the habituation process; we thus blocked them using 10 μM of TEA, as previously
reported[14]. After confirming that TEA does not influence the photocurrent (Fig 5B), we ana-
lyzed the effect of the drug on the habituation profile at 1Hz, 5V. The mean profile is shown in
Fig 5D and mean τH and % of dep. at s.s. values are summarized in Fig 5E and 5F indicating a
significantly slower and more pronounced profile in the presence of TEA. This result high-
lights that the TEA-sensitive native potassium channels actively participate in defining the
photocurrent-induced habituation process.
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Habituation in single non-excitable cells
Fig 5. ChR2-independent and ion-dependent habituation profile. A) Representative traces of the photocurrent at -30, -40 and -50 mV (square, circle and triangle,
respectively) during a 1Hz,5V repetitive stimulation. B) Mean current density/event plot of the photocurrent. C) Mean photocurrent density currents with or without
TEA (filled circle, empty square, respectively; n = 8 each). D) Mean habituation profiles with TEA 10 μM in the extracellular solution. E) Mean τH (in events: CTRL: 3.43
±0.27, n = 43; TEA: 4.27±0.30, n = 18) and F) amplitude (CTRL: 23.38±0.89, n = 43; TEA: 28.03±1.63, n = 18). Student’s T-test �p<0.05 vs CTRL.
https://doi.org/10.1371/journal.pone.0227230.g005
Mathematical modeling of habituation in HEK cells
We recently proposed a generalization of the habituation process which could be applied inde-
pendently of the biological details of the given system [6]. As outlined in the paper, the habitu-
ation process was described as the dynamic interplay between different elements, namely the
stimulation, transducer, habituation, receiver and background elements. Each element is
described by a variable and, overall, the process is described by the following equation:
Rn ¼ T0
n þ H0
ðnsÞ0 � s
i¼0 Di þ B
Pn(cid:0) 1
ð1Þ
where Rn is the output of the receiver element (the element that we monitor during the stimu-
lation), T0
n is the output of the transducer elements (influenced by the frequency (t(s)) and the
intensity of stimulation and the nature of the modules composing the element itself), H0
(ns)0 is
an index of the initial state of the habituation element and thus the output of the habituation
element before the stimulation, sigma (σ) is the stimulation factor, delta (Δ) is the spontaneous
decay factor during the recovery phase from the stimulation, B is the output of the background
elements (stimulation invariant elements) and n is the number of events delivered to the sys-
tem. Through a mathematical manipulation of the Eq 1 (S1 File), we computed from the raw
data Δ, σ and A (where A = T0
(ns)0+B) associated with some conditions tested throughout
the paper. Each parameter, as detailed in the S1 File, is influenced either by the stimulation fea-
tures (t(ns), t(s) and intensity) or by the nature/composition of the habituation system (T’, B
n+H0
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Habituation in single non-excitable cells
Table 1. Relationship between the different combinations of parameters and the variables. In the table are indi-
cated the variables when more than one parameter is different among conditions. B is the output of the background
element, H(ns)0 is the output of the habituation element before the stimulation, T’ is the output of the transducer ele-
ments, int is the intensity of the stimulation, t(s) is the time of stimulation, t(ns) is the time of non-stimulation between
two events and H’ is the output of the habituation element.
AND
σ AND A
Δ AND A
Δ AND σ
Δ
All
σ
All
A
All
https://doi.org/10.1371/journal.pone.0227230.t001
�Δ
B, H(ns)0, T’, int, t(s)
�σ
B, H(ns)0, t(ns)
�A
H’, t(ns)
and H(ns)0). The detailed relationships between the parameters (Δ, σ and A), the variables (B,
H(ns)0, T’, H’, t(ns)) are reported in the S1 File.
In Table 1 we summarize the variables that can influence all the possible combinations of
the significant (i.e. Δ) and not significant (i.e. �D) parameters. In Table 2 we report the signifi-
cant parameters among the indicated conditions, and the variables that can be neglected are
also listed (S1 File); with this eliminative procedure, we then obtained the significant variables
that can explain the observed parameter combinations (for numerical details, see S1 Table). It
emerges that the differences among 1Hz and 2Hz stimulations (Fig 2A) arose just from the dif-
ferent stimulation protocol (t(ns)), whereas during the 0.5 Hz condition the differences must
also be related to a different nature/composition of the habituation system (T’, H’). When we
compare 2V vs 5V (Fig 2B), we can see that a different response of T’ is the explanation of the
different output (in particular, reflecting the different intensities of stimulation). Upon TEA
application at 1Hz 5V stimulation (Fig 5D), we can conclude that native K+-channels partici-
pate either in the composition of the translator (T’) or habituation element (H’ and/or H(ns)0).
Finally, during the frequency transitions, the first 1Hz stimulation and the second 1Hz stimu-
lation after the 2Hz stimulation (Fig 4A) differs because of either a difference in the pre-stimu-
lation habituation elements (H(ns)0) or a difference in the nature of the translator element (T’).
In conclusion, the previously proposed model could be instrumental in narrowing the biologi-
cal processes involved in the different responses through an experimentally-driven eliminative
procedure.
Limitations
In the present work, two main limitations are present: the non-physiological source of stimula-
tion (the photostimulation of the ChR2) and the use of just one cellular type. Indeed, the over-
expression of the ChR2 channels is an implausible physiological situation driven by the
experimental need to fine-tune the stimulation features, which practically limited the use of
Table 2. Experimental-driven eliminative procedure. After the computation of Δ, σ and A in each group, we identified the statistically significant parameters and using
Table 1 we highlight the significant variables. Moreover, based on each specific group comparison, we could also identify the variables which are invariant based on the
applied stimulation.
Experimental feature
Figure
Group Comparison
Statistically significant parameters
Neglectable Variables
Significant Variables
Frequency
Intensity
Native Channels
Frequency transitions
Fig 2A
Fig 2A
Fig 2A
Fig 2E
Fig 5D
Fig 4A
0.5 vs 1 Hz
0.5 vs 2 Hz
1 vs 2 Hz
2 vs 5 V
(-)TEA vs (+)TEA
First vs Second 1Hz
Δ AND A AND σ
Δ AND A AND σ
Δ AND A
A AND σ
Δ AND A AND σ
A AND σ
https://doi.org/10.1371/journal.pone.0227230.t002
B, mag, H(ns)0, t(s)
B, mag, H(ns)0
B, mag, H(ns)0
B, H(ns)0, t(s), t(ns)
B, mag, t(s), t(ns)
B, mag, t(s), t(ns)
H’, T’, t(ns)
H’, T’, t(ns), t(s)
t(ns)
T’, mag
T’, H’, H(ns)0
T’, H(ns)0
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Habituation in single non-excitable cells
more biologically relevant stimulation sources. On the other hand, the ionic currents gener-
ated by the opening of the channels (from which the depolarization arose) is a universal lan-
guage for cells. Nonetheless, it is important to mention that the use of a single type of
channelrodopsin prevents us to conclude which ionic current-dependent phenomena (namely
the depolarization of the membrane or any other ion-dependent mechanisms) is responsible
for the habituation. Moreover, we explored the process only in HEK cells (since it is a well-
established heterologous system in electrophysiology); this limits any robust claim of generali-
zation of the presented results to other non-neuronal system. Finally, we only explored the
non-associative aspect of the habituation, namely using one and only one form of stimulation
and, because of the intrinsic instability of the whole cell configuration over long recording
periods (more than an hour), we did not explore any potential long-term effects of the stimula-
tion. In light of these limitations, the present work should be seen as a proof of concept of the
ability of non-neuronal cells to habituate rather than an indication for habituation as a biologi-
cally universal process with defined features and rules; more data must be collected to prove
this claim.
Discussion
Whether they are self-generated by the body (i.e. heartbeat, brain waves, circadian rhythms,
hormone release, etc.) or delivered from environmental sources (new drug treatment, training,
routine behaviors, etc.), repetitive stimulations are ubiquitous and essential to the adaptive
behavior and physiology of living organisms. A common behavioral strategy to deal with
repetitive stimulations is to reversibly reduce the output of the system; a process which is
termed habituation [2]. Over the last 50 years, an extensive characterization of the behavioral
manifestation of habituation has been performed [1] mostly confirming the characteristics
previously identified [2]. So far, the list of features reported by Rankin and colleagues [1] rep-
resents the most up-to-date guideline to correctly classify behavioral habituation. Habituation
is considered within an exclusively neural-based framework even though some experiments
demonstrate the process clearly emerges within aneural systems [7] [8] [9] [10]. While data
continue to accumulate to broaden our view of the gradual evolution of learning capacities
from basal taxa, it is essential to develop platforms that facilitate the study of universal cellular
mechanisms for computation and optimization of behavior. While single-cell habituation is
apparently robust, a deeper characterization has not yet been achieved. A proper comparison
between the cellular and behavioral manifestations of habituation could reveal a more general
process that is not restricted to neuronal substrates.
In the present work, we explored the habituation process in ChR2-expressing HEK cells.
The main advantage of using the ChR2 is to uniquely stimulate a singular element of the cell
(indeed, the blue light stimulation did not affect the resting membrane potential of the cells,
the output that we monitored throughout the study). The impact of ChR2-mediated depolari-
zation on the voltage profile of the cells was studied, defining three descriptors: percentage of
depolarization at the steady state (% of dep. at s.s.) and τH to describe the magnitude and
kinetic of habituation, respectively, and p(H), the probability to generate an exponential-like
profile. From Fig 1A, the repetitive series of stimulations decreased the amplitude of the photo-
current-induced depolarization within the protocol with an asymptotic profile (Fig 1B). It is
also important to notice that the photocurrent amplitude was invariant throughout the stimu-
lation (Fig 5B), demonstrating that the decrement was ChR2 independent. In support of this
hypothesis, the blockage of native potassium channels with TEA changed the profile’s features
(Fig 5D) indicating that the cell was actively responding to the repetitive stimulation; it is also
relevant to mention that TEA dosage did not influence the photocurrent characteristics (Fig
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Habituation in single non-excitable cells
5C). Finally, the recovery of the output after a resting period (Fig 3) led us to exclude any dele-
terious effects of the stimulation on the cell output. Taken together, these results point toward
a robust indication of habituation in the analyzed cell system.
As previously described from a behavioral standpoint [1], the stimulation characteristics
must affect the response. We thus tested the impact of different frequencies of stimulation (Fig
2) finding that increasing the stimulation frequency produced a more pronounced profile (Fig
2D). Plotting the time on the x-axis, higher stimulation frequencies were associated with faster
profiles (S4 Fig), which is in line with the behavioral data; we observed the opposite effect
when plotting the number of events (Fig 2C). This apparent contradiction highlights the neces-
sity to always clarify if the analysis of the kinetic is made with respect to either time or events.
We then manipulated the intensity of the stimulation and found a less pronounced and slower
profile at 1V (p<0.05) and no differences between 2V and 5V. Taking into consideration the
limited range of intensities that we explored, our results are clearly in opposition with the
behavioral data. So far, we discussed the response of the cell system to a novel stimulation; in
Fig 3, however, we explored the profile after consecutive stimulations. We found that the
kinetic profile was not necessarily faster after consecutive stimulations, as it was framed for the
behavioral habituation; a similar contradiction between behavioral and cellular data can also
be highlighted when considering the magnitude. Most importantly, it emerged that habitua-
tion cannot be considered granted without satisfying certain temporal criteria; indeed, below a
recovery period of 2.3 s, it seems that the cells cannot generate any habituation profile (Fig
3D). An absolute habituation refractory period emerged below which the habituation itself
could not occur; in other words, the habituation elements in the system are not responsive
during the absolute habituation refractory period.
Moreover, in Fig 4 we explored systematic changes in rhythmicity without deliberate recov-
ery. This protocol was designed to mimic physiological changes in the frequency of biological
periodic stimulation: actually, considering stimulations that arise inside the body, it is more
common that the system experiences a modification in the rhythmic event rather than a new
type of stimulation. It appears that the kinetic, but not the magnitude, was affected by the
sequence of the frequency transitions. It follows that the magnitude of habituation can be con-
sidered the only invariant frequency-dependent signature during the frequency transitions.
Most importantly perhaps, it highlights that the same stimulation (1Hz) can lead to either a
habituation or sensitization profile based on the pre-1Hz stimulation state (Novel vs 2Hz vs
1Hz-2Hz). The evidence that habituation and sensitization arise from the same protocol of
stimulation suggests that the state of the system before the stimulation is a crucial factor, more
so than the features of the stimulation itself in defining the ultimate phenotype. In particular,
we can speculate that a habituation profile emerges if the % of dep. at s.s. of the previous state
is smaller than the one associated with the frequency of the second stimulation; on the other
hand, if it is greater, a sensitization profile emerges. It also leads to the speculation that habitu-
ation and sensitization are two facets of the same process. In other words, the system seems to
achieve a defined frequency-dependent steady state using either habituation or sensitization
phenomena accordingly to the previous state of the system. The determinant of whether one
emerges over the other would be the pre-stimulation state of the system; however, any robust
conclusion cannot be irrefutable considering the limited data presented here. Most impor-
tantly, perhaps, this establishes the experimental basis to explore the effect, if any, of patho-
physiological changes of rhythmic processes generated by excitable cells (i.e. cardiomyocytes,
neurons) on non-excitable cells (i.e. endothelial cells, fibroblasts, macrophages, microglia).
Even if we confirmed the habituation process in HEK cells, those results reveal little about any
mechanistic explanation.
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Habituation in single non-excitable cells
Using a mathematical generalization of the habituation process [6], we narrowed some
potential mechanisms of the habituation in the present system. In particular, we can see that
any difference between 1Hz and 2Hz is due to just the different frequency but not because of
recruitment/dismissal of elements in the HEK system: in other words, the system that reacts to
the stimulation is, in both activity and composition, identical. A similar picture arises when we
compared 2V vs 5V. On the contrary, when we analyzed the 0.5Hz vs 1Hz (or 2Hz) stimula-
tion, we realized that the differences were not only because of the different stimulation proto-
cols, but also because of a different activity/composition of the HEK system reacting at those
frequencies. In other words, different frequencies are processed differently by the system
because of a change in its state. This hypothesis also seems to be reflected in the different pro-
file of the recovery in Fig 3.
Taken together, our data show that both the behavioral and our cellular model share a dec-
remental decrease during repetitive stimulation that, after a resting period, is reversible. More-
over, they both showed a frequency and intensity dependence of the habituation profile;
however, it is critical to report that the similar changes in the stimulation features do not nec-
essarily lead to the same habituation profile changes in the behavioral vs cellular comparison.
The authors suggest that this is due to the fact that the specific response to stimulation changes
are not amenable to generalization. Namely, the responses lie on the peculiar composition of
the system that we are monitoring and must be tested de novo for any new system. To summa-
rize, the behavioral and cellular habituation processes shares 1) an asymptotical decrement of
the output during repetitive stimulation, 2) the reversibility of the profile after a resting period
and 3) a dependence on both frequency and intensity of stimulation. Based on these findings,
we propose to consider and define habituation as a time- and state-dependent process which
could occur if and only if 1) the time between two consecutive stimulations is smaller than the
time necessary to the system to achieve a pre-stimulation state and larger than the absolute
habituation refractory period, 2) satisfy the three points above-mentioned. Future experiments
using many more cell substrates will test the solidity of our definition and clarify any claim as
to the universality of the habituation process.
Conclusions
Bearing in mind the aforementioned limitations, the present work: 1) demonstrates that non-
neuronal cells can habituate in a stimulation-dependent manner, 2) highlights similarity and
discrepancies between the behavioral rules and our model responses, 3) gives defined descrip-
tors to analyze the process (% of effect at s.s., τH and probability of habituation), 4) shows that
systems respond differently in case of preceding history of stimulation and 5) guides the explo-
ration of mechanistic information using an experimental-driven shortcut approach based on a
mathematical generalization of the habituation process.
Supporting information
S1 File. Description of the mathematical model.
(DOCX)
S1 Fig. Photocurrent current density-voltage plot. A) Representative photocurrent density
traces (holding potential: 0 mV) recorded in the range 0/-90 mV (ΔV = 10 mV). B) Current
density-voltage plot analyzed at the peak (square) or steady state (circle). n = 14.
(TIF)
PLOS ONE | https://doi.org/10.1371/journal.pone.0227230 January 17, 2020
12 / 14
Habituation in single non-excitable cells
S2 Fig. Cosine wave-induced habituation profile. A) Representative voltage trace upon the
application of B) a 1Hz,5V cosine wave light stimulation.
(TIF)
S3 Fig. Non-transfected HEK cell does not respond to light. Representative voltage profile of
non-transfected HEK cells (in black) in response to the light stimulation protocol (in blue).
(TIF)
S4 Fig. The stimulation’s features impact the habituation profile. HEK cells were stimulated
at 5V at three different frequencies as indicated (in Hz: 0.5, black square; 1, purple circle; 2
green triangle). A) Superimposed and B) separated mean profiles are shown plotting the time
pf stimulation. C) Mean τH (in s: 0.5Hz: 6.11±0.81, n = 21; 1Hz: 3.43±0.12, n = 43; 2Hz: 2.32
±0.11, n = 43) and D) mean amplitude (in % of depolarization: 0.5Hz: 19.78±1.00, n = 21; 1Hz:
23.00±0.23, n = 43; 2Hz: 29.84±0.19, n = 43) are shown. One-way Anova �p<0.05 vs 0.5Hz;
#p<0.05 vs 1Hz.
(TIF)
S1 Table. Fig 3 parameters details.
(TIF)
Author Contributions
Conceptualization: Mattia Bonzanni, Nicolas Rouleau.
Data curation: Mattia Bonzanni.
Formal analysis: Mattia Bonzanni.
Funding acquisition: Michael Levin, David L. Kaplan.
Investigation: Mattia Bonzanni.
Methodology: Mattia Bonzanni.
Project administration: Mattia Bonzanni.
Resources: Michael Levin, David L. Kaplan.
Supervision: Mattia Bonzanni.
Validation: Mattia Bonzanni.
Visualization: Mattia Bonzanni.
Writing – original draft: Mattia Bonzanni, Nicolas Rouleau.
Writing – review & editing: Mattia Bonzanni, Nicolas Rouleau, Michael Levin, David L.
Kaplan.
References
1. Rankin CH, Abrams T, Barry RJ, Bhatnagar S, Clayton D, Colombo J et al. (2009) Habituation revisited:
an updated and revised description of the behavioral characteristics of habituation. Neurobiol Learn
Mem 92(2):135–138. https://doi.org/10.1016/j.nlm.2008.09.012 PMID: 18854219
2.
Thompson RF & Spencer WA (1966) Habituation: a model phenomenon for the study of neuronal sub-
strates of behavior. Psychol Rev 73(1):16–43. https://doi.org/10.1037/h0022681 PMID: 5324565
3. Groves PM & Thompson RF (1970) Habituation: a dual-process theory. Psychol Rev 77(5):419–450.
https://doi.org/10.1037/h0029810 PMID: 4319167
4. Sokolov EN (1963) Higher nervous functions; the orienting reflex. Annu Rev Physiol 25:545–580.
https://doi.org/10.1146/annurev.ph.25.030163.002553 PMID: 13977960
PLOS ONE | https://doi.org/10.1371/journal.pone.0227230 January 17, 2020
13 / 14
Habituation in single non-excitable cells
5. Ramaswami M (2014) Network plasticity in adaptive filtering and behavioral habituation. Neuron 82
(6):1216–1229. https://doi.org/10.1016/j.neuron.2014.04.035 PMID: 24945768
6. Bonzanni M, Rouleau N, Levin M, & Kaplan DL (2019) On the Generalization of Habituation: How Dis-
crete Biological Systems Respond to Repetitive Stimuli: A Novel Model of Habituation That Is Indepen-
dent of Any Biological System. Bioessays 41(7):e1900028. https://doi.org/10.1002/bies.201900028
PMID: 31222777
7. Boisseau RP, Vogel D, & Dussutour A (2016) Habituation in non-neural organisms: evidence from slime
moulds. Proc. R. Soc. B 283(1829):20160446. https://doi.org/10.1098/rspb.2016.0446 PMID:
27122563
8. Eisenstein E, Brunder D, & Blair H (1982) Habituation and sensitization in an aneural cell: Some com-
parative and theoretical considerations. Neuroscience & Biobehavioral Reviews 6(2):183–194.
9. Meins F Jr & Lutz J (1979) Tissue-specific variation in the cytokinin habituation of cultured tobacco
cells. Differentiation 15(1–3):1–6.
10. Pischke MS, Huttlin EL, Hegeman AD, & Sussman MR (2006) A transcriptome-based characterization
of habituation in plant tissue culture. Plant Physiology 140(4):1255–1278. https://doi.org/10.1104/pp.
105.076059 PMID: 16489130
11.
Lyon P (2006) The biogenic approach to cognition. Cogn Process 7(1):11–29. https://doi.org/10.1007/
s10339-005-0016-8 PMID: 16628463
12. Baluska F & Levin M (2016) On Having No Head: Cognition throughout Biological Systems. Front Psy-
chol 7:902. https://doi.org/10.3389/fpsyg.2016.00902 PMID: 27445884
13. Katz Y, Yizhar O, Staiger J, & Lampl I (2013) Optopatcher—an electrode holder for simultaneous intra-
cellular patch-clamp recording and optical manipulation. J Neurosci Methods 214(1):113–117. https://
doi.org/10.1016/j.jneumeth.2013.01.017 PMID: 23370312
14. Ponce A, Castillo A, Hinojosa L, Martinez-Rendon J, & Cereijido M (2018) The expression of endoge-
nous voltage-gated potassium channels in HEK293 cells is affected by culture conditions. Physiol Rep
6(8):e13663. https://doi.org/10.14814/phy2.13663 PMID: 29665277
PLOS ONE | https://doi.org/10.1371/journal.pone.0227230 January 17, 2020
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| null |
10.1088_2634-4386_ad046d.pdf
|
Data availability statement
The data that support the findings of this study are openly available (Kaiser et al 2023). The experiment code
is available on https://github.com/electronicvisions/model-paper-mc-sbi.
|
Data availability statement The data that support the findings of this study are openly available (Kaiser et al 2023) . The experiment code is available on https://github.com/electronicvisions/model-paper-mc-sbi .
|
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REVISED
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ACCEPTED FOR PUBLICATION
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Neuromorph. Comput. Eng. 3 (2023) 044006
https://doi.org/10.1088/2634-4386/ad046d
PAPER
Simulation-based inference for model parameterization on analog
neuromorphic hardware
Jakob Kaiser1,∗, Raphael Stock1, Eric Müller1, Johannes Schemmel1,∗ and Sebastian Schmitt2
1 Kirchhoff-Institute for Physics (European Institute for Neuromorphic Computing), Heidelberg University, Heidelberg, Germany
2 Department for Neuro- and Sensory Physiology, University Medical Center Göttingen, Göttingen, Germany
∗
Authors to whom any correspondence should be addressed.
E-mail: jakob.kaiser@kip.uni-heidelberg.de and schemmel@kip.uni-heidelberg.de
Keywords: analog, neuromorphic, simulation-based inference, multi-compartment
Abstract
The BrainScaleS-2 (BSS-2) system implements physical models of neurons as well as synapses and
aims for an energy-efficient and fast emulation of biological neurons. When replicating
neuroscientific experiments on BSS-2, a major challenge is finding suitable model parameters. This
study investigates the suitability of the sequential neural posterior estimation (SNPE) algorithm for
parameterizing a multi-compartmental neuron model emulated on the BSS-2 analog
neuromorphic system. The SNPE algorithm belongs to the class of simulation-based inference
methods and estimates the posterior distribution of the model parameters; access to the posterior
allows quantifying the confidence in parameter estimations and unveiling correlation between
model parameters. For our multi-compartmental model, we show that the approximated posterior
agrees with experimental observations and that the identified correlation between parameters fits
theoretical expectations. Furthermore, as already shown for software simulations, the algorithm
can deal with high-dimensional observations and parameter spaces when the data is generated by
emulations on BSS-2. These results suggest that the SNPE algorithm is a promising approach for
automating the parameterization and the analyzation of complex models, especially when dealing
with characteristic properties of analog neuromorphic substrates, such as trial-to-trial variations or
limited parameter ranges.
1. Introduction
Mechanistic models, which try to explain the causality between inputs and outputs, are integral to scientific
research. On the one hand they can increase the understanding of the mechanisms which cause the
phenomena and on the other make predictions about new outcomes which can then be tested experimentally
(Baker et al 2018). After a mechanistic model has been formulated, one of the remaining challenges is to find
suitable model parameters which lead to a close agreement between model behavior and experimental
observations.
Several approaches such as the hand-tuning of parameters, grid searches, random/stochastic searches,
evolutionary algorithms, simulated annealing and particle swarm algorithms have been used in neuroscience
to find appropriate model parameters (Vanier and Bower 1999, Van Geit et al 2008). Drawbacks of these
methods are that they rely on a score which represents how close the results of a simulated model are to the
target observation and that they in general only yield the best performing set of parameters. Furthermore,
these algorithms are often computationally expensive since they require many simulations to find suitable
parameters (Gonçalves et al 2020).
The class of simulation-based inference (SBI) algorithms makes statistical inference methods available for
models where the likelihood is not tractable and provides an approximation of the posterior distribution of
the model parameters. Advantages of deriving an approximation of the posterior include the possibility to
find correlations between model parameters and to evaluate the confidence in the estimated parameters.
Early SBI approaches rely on defining a score and are computationally inefficient since they disregard many
simulation which have a low score (Sisson et al 2018).
© 2023 The Author(s). Published by IOP Publishing Ltd
Neuromorph. Comput. Eng. 3 (2023) 044006
J Kaiser et al
Recent advances in machine learning lead to a new class of SBI algorithms which promise to be
computationally more efficient and do not depend on a score function (Papamakarios and Murray 2016,
Lueckmann et al 2017, Greenberg et al 2019, Cranmer et al 2020, Deistler et al 2022). In this paper we will
focus on the sequential neural posterior estimation (SNPE) algorithm which was already applied to infer
parameters for different neuroscientific models (Lueckmann et al 2017, Gonçalves et al 2020). More
specifically, we want to investigate if this algorithm is suitable to parameterize neuron models which are
emulated on the BrainScaleS-2 (BSS-2) analog neuromorphic hardware system (Pehle et al 2022).
Neuromorphic computation draws inspiration from the brain to find time and energy efficient
computing architectures as well as algorithms (Indiveri et al 2011). The BSS-2 system emulates the behavior
of neurons and synapses on analog circuits in continuous time (Billaudelle et al 2022) and does not solve the
model equations mathematically like digital neuromorphic hardware (Furber et al 2013, Davies et al 2018,
Mayr et al 2019).
In previous experiments on the BSS-2 system, hardware parameters were set by calibration routines, grid
searches, gradient-based optimization or by hand-tuning (Aamir et al 2018, Wunderlich et al 2019,
Billaudelle et al 2022, Cramer et al 2022, Kaiser et al 2022, Pehle et al 2023). The hand-tuning of parameters
can be tedious and relies on the domain-specific knowledge of the experimenter such that automated
parameter-search methods are inevitable for complex problems (Vanier and Bower 1999). Similarly, a
calibration routine can only be formulated if the relationship between parameters and observations is
known. Depending on the dimensionality of the parameter space, grid searches and random searches can be
computationally too expensive. The SNPE algorithm promises to find approximations of the posterior even
if the parameter space is high-dimensional and the relationship between the parameters and the observation
is unknown (Lueckmann et al 2017, Greenberg et al 2019, Gonçalves et al 2020).
Furthermore, the SNPE algorithm is designed for probabilistic models. This makes it a suitable choice for
models which deal with intrinsic probabilistic behavior such as analog neuromorphic hardware which is
subject to temporal noise.
In the present study we emulated a passive multi-compartmental neuron model on BSS-2 and
investigated whether the SNPE algorithm can find suitable model parameters to reproduce previously
recorded target observations. For a two-dimensional (2D) parameter space, we show that the approximated
posterior derived with the SNPE algorithm agreed with a grid search over the whole parameter space and
that the correlations between model parameters are in agreement with theoretical predictions.
Finally, we extended the problem to a higher-dimensional (7) parameter space and examined the
approximated posteriors with posterior-predictive checks (PPCs). The correlations between parameters of
this high-dimensional model did agree with the model equations.
All in all, our results indicate that the SNPE algorithm is able to deal with the intrinsic trial-to-trial
variations of analog neuromorphic hardware and is able to approximate posterior distributions which are in
agreement with the given target observations.
2. Methods
This section starts by introducing the BSS-2 neuromorphic system. We chose the attenuation of
post-synaptic potentials (PSPs) in a passive chain of compartments to test if the SNPE algorithm is capable to
parameterize experiments on BSS-2. Therefore, we introduce the attenuation experiment before we describe
the SNPE algorithm. We conclude this section by introducing methods which we used to validate our
posterior approximations.
2.1. BrainScaleS-2
BSS-2 is a mixed-signal analog neuromorphic system; neuron and synapse dynamics are emulated by analog
circuits while spike events and configuration data rely on digital communication, figure 1(a). More
specifically, the dynamics of the analog neuron circuits are designed to resemble the dynamics of the adaptive
exponential integrate-and-fire (AdEx) neuron model (Brette and Gerstner 2005, Billaudelle et al 2022).
Voltages and currents on these analog circuits directly represent the state of the emulated neuron.
2.1.1. Neuron dynamics
The AdEx neuron model extends the leaky integrate-and-fire (LIF) neuron model by introducing an
exponential and an adaptation current (Brette and Gerstner 2005). The high configurability, see below, of the
BSS-2 system allows disabling these currents to model LIF neurons. Furthermore, several neuron circuits can
be connected to form multi-compartmental neuron models (Kaiser et al 2022).
2
Neuromorph. Comput. Eng. 3 (2023) 044006
J Kaiser et al
Figure 1. The BrainScaleS-2 (BSS-2) system and the sequential neural posterior estimation (SNPE) algorithm. (a) Photograph of
the BSS-2 neuromorphic chip bonded to a carrier board. Reproduced from (Pehle et al 2022). CC BY 4.0. (b) Visualization of the
SNPE algorithm (Papamakarios and Murray 2016, Lueckmann et al 2017, Greenberg et al 2019). Reproduced from (Gonçalves
et al 2020). CC BY 4.0. This algorithm can be used to find an approximation for the posterior distribution p(θ | x∗) of parameters
θ which recreate a target observation x∗. The target observation x∗, a prior belief about the parameter distribution p(θ) and a
model which gives implicit access to the likelihood p(x | θ) are given as inputs to the algorithm. In step (cid:192), we sample parameters
θ ′ from the prior distribution and the model is evaluated with these parameters to obtain observations x ′. This implicitly allows
us to sample form the likelihood p(x | θ ′). In the following step `, the set of parameters and the corresponding observations are
used to train a neural density estimator (NDE). The NDE serves as a surrogate for the posterior distribution p(θ | x). Frequently,
we are interested in a single observation x∗ and we can restrict the NDE to this observation, step ´. We can now use samples
drawn from the posterior θ ′ ∼ p(θ | x∗) to generate new samples and retrain the NDE, repeating steps ` and ´. Steps `–ˆ can
be repeated several times to improve the estimate of the posterior.
In this publication, we will consider multi-compartmental neuron models for which the membrane
potentials in the different compartments Vm adhere to the dynamics of the LIF neuron model,
Cm
dVm (t)
dt
= gleak · (Vleak − Vm (t)) + Isyn (t) + Iaxial (t) ,
where Cm is the membrane capacitance, gleak the leak conductance and Vleak the leak potential.
The two currents in equation (1) arise due to synaptic input, Isyn, and connections to neighboring
compartments, Iaxial. The synaptic current Isyn models current-based synapses with an exponential kernel.
The current Iaxial,i(t) on compartment i 3 due to neighboring compartments is given by
Iaxial,i (t) =
∑
j
gi ↔j
axial
·
(
)
Vm,j (t) − Vm,i (t)
,
(1)
(2)
where the sum runs over all neighboring compartments {j}, gi ↔j
compartments and Vj is the membrane potential of the neighboring compartment.
axial represents the conductance between these
Once the membrane potential Vm crosses a threshold potential Vthres a spike is generated and the
membrane potential is reset to the reset potential Vreset
and the membrane potential Vm continues to adhere to the dynamics of equation (1).
4. After the refractory time τ ref the reset is released
2.1.2. Configurability
The behavior of the neuron circuits on BSS-2 can be controlled by several digital and analog parameters.
Digital parameters, for example, control if the adaptation or exponential currents are connected to the
membrane (Billaudelle et al 2022) and how different neuron circuits are connected to each other to form
multi-compartmental neuron models (Kaiser et al 2022).
Analog reference voltages and currents control quantities such as the leak conductance gleak, leak potential
Vleak or the axial conductance gaxial between neuron circuits. These analog references are provided by an
analog on-chip memory array which converts digital 10 bit values to currents and voltages (Hock et al 2013).
Since the last value is reserved, reference currents and voltages can be adjusted digitally from 0 to 1022. This
large configuration range allows tuning the neuron circuits to a variety of different operating regimes and to
compensate manufacturing-induced mismatch between different neuron circuits (Billaudelle et al 2022).
3 Since all variables in equation (1) refer to compartment i, we omitted the subscript i in equation (1) for easier readability.
4 These digital spikes can be used as inputs to other neurons on the chip or can be recorded as observables.
3
Neuromorph. Comput. Eng. 3 (2023) 044006
J Kaiser et al
leak and the axial conductance between compartments gi ↔i +1
Figure 2. Model of a passive compartment chain and grid search results. (a) The parameters of the model are given by the leak
conductance in each compartment gi
the propagation of post-synaptic potentials (PSPs). Here we show membrane traces of neurons which were emulated on the
BrainScaleS-2 system. We inject a synaptic input (vertical lines) in one compartment after another and record the membrane
potential in each compartment (different rows). From these traces we extract the heights of the PSPs hij. We use the matrix of all
heights H, the heights resulting from an input to the first compartment F = [h00, h10, h20, h30] or the decay constant τ from an
exponential fit to F as observables. The scale bar in the lower right corner indicates the voltage and time in the hardware domain.
(b) Grid search on BrainScaleS-2 of the decay constant τ ; the decay constant is given in units of ‘compartments’ and calculated by
fitting an exponential to the PSPs which result from an input to the first compartment, compare panel (a). We divided the
parameter space in an evenly spaced grid with 40 values in each dimension, recorded the resulting PSP heights in each
compartment and extracted the decay constant τ ; figure A1 shows the exponential fits for some exemplary measurements. The
decay constant τ decreases as the leak conductance gleak is increased or the axial conductance gaxial is reduced. The white contour
lines mark regions with equal decay constant and show a correlation between leak and axial conductance. Traces recorded at the
numbered points are displayed in figure 3.
. In our experiment we observe
axial
In the current publication, we use the latest revision of the BSS-2 system (Billaudelle et al 2022, Pehle et al
2022). The PyNN domain-specific language (Davison et al 2009) was used to formulate the experiments and
the BSS-2 OS to define as well as to control the experiments (Müller et al 2020).
2.2. Experiment description—a linear chain of compartments
In order to test the capabilities of the SNPE algorithm, we considered a multi-compartmental model which
consisted of a chain of passive compartments, see figure 2(a). Such multi-compartmental models have been
used to model dendrites and axons (Fatt and Katz 1951, Rall 1962). Each compartment i was connected to a
leak potential Vleak via a leak conductance gi
conductance gi ↔i +1
parameters were fixed.
, compare equation (2). These conductances served as our parameters θ, all other
leak and to the neighboring compartment via an axial
axial
We injected synaptic inputs in the different compartments and observed how the PSPs propagate along
the chain. More specifically, we looked at the heights of PSPs; in the following we will use the notation hij to
describe the PSP height which was observed in compartment i after an input to compartment j, figure 2(a).
Since we were only interested in the passive propagation, we disabled the spiking threshold, this is equivalent
to Vthres → ∞.
Due to the low-pass properties of the passive chain, the response in the first compartment broadened and
its height decreased as the synaptic input was injected further away from the first compartment, compare
first row in figure 2(a). A similar behavior was visible when we looked at the voltage traces in the second
compartment: the PSPs broadened and flattened for inputs further away from the recording site. Since we
considered a finite chain, we saw that an input at the end of the chain affected the membrane potential more
strongly, for example h10 > h12.
The height of the PSPs depended on the leak and axial conductance (Fatt and Katz 1951). A higher leak
or axial conductance resulted in lower PSP heights at the injection site as less charge can be accumulated on
the compartment, figure 2(b). Therefore, the PSP heights H or quantities derived form them were suitable
observations x that could be used to infer parameters θ. Besides the full matrix of PSP heights, we used the
PSP heights which resulted from an input to the first compartment F = [h00, h10, h20, h30] and the decay
constant τ from an exponential fit to F as observables.
2.3. Sequential neural posterior estimation algorithm
The SNPE algorithm (Papamakarios and Murray 2016, Lueckmann et al 2017, Greenberg et al 2019) belongs
to the class of SBI algorithms and allows finding an approximation of the posterior distribution p (θ | x∗) in
cases where the likelihood p (x | θ) is intractable. Here θ are the parameters of a mechanistic model for which
we try to find parameters which reproduce a target observation x∗. The main idea is to evaluate the model
for different parameters {θi }, extract the observations {xi } and fit a flexible probability distribution as a
4
Neuromorph. Comput. Eng. 3 (2023) 044006
J Kaiser et al
posterior to this set of parameters and observations. As the name suggests the parameters of these probability
distributions are determined by neural networks.
The algorithm takes a target observation x∗, prior p(θ) and a model for which suitable parameters
should be found as an input, figure 1(b). The prior is used to draw random parameters θ ′ ∼ p(θ). By
executing the model with the given parameters θ ′
our case the evaluation of the model is the emulation on the BSS-2 system.
we implicitly sample from the likelihood x ′ ∼ p(x | θ ′). In
In the second step, a neural density estimator (NDE) is trained to approximate the posterior distribution
p(θ | x). The NDE is a flexible set of probability distributions which are parameterized by a neural network.
Typical choices are mixture-density networks (Bishop 1994, Papamakarios and Murray 2016, Lueckmann
et al 2017, Greenberg et al 2019) or masked autoregressive flows (MAFs) (Papamakarios et al 2017, 2019,
2021, Gonçalves et al 2020). The NDE is commonly trained by minimizing the negative log-likelihood of the
previously drawn samples. Therefore, unlike traditional SBI algorithms the SNPE algorithm does not depend
on a user-defined score function. After successful training, the NDE approximates the posterior distribution
of the parameters for any observation x.
If we are only interested in a single target observation x∗, we can use the estimated posterior distribution
in the following rounds as a proposal prior (Papamakarios and Murray 2016, Lueckmann et al 2017,
Greenberg et al 2019). While this sequential approach can increase sample efficiency, the obtained
approximation of the posterior is no longer amortized, i.e. it can only be used to infer parameters for the
target observation x∗ and not any arbitrary observation x.
In our experiments we applied the algorithm presented in Greenberg et al (2019) which is implemented
in the Python package sbi5 (Tejero-Cantero et al 2020). The structure of the NDE as well as other
hyperparameters of the SNPE algorithm can be found in appendix A.2.
2.4. Validation
In order to validate the approximated posteriors we used PPCs and calculated the expected coverage for each
posterior (Hermans et al 2022).
2.4.1. Predictive posterior check
We performed PPCs to check if an approximated posterior p (θ | x∗) yielded parameters θ which are in
agreement with the original observation x∗. As discussed in Lueckmann et al (2021), PPCs do not measure
the similarity of the approximated and true posterior and should just be used as a check rather than a metric.
Nevertheless, we found that PPC were sensitive enough to highlight posterior approximations which did not
agree with our expectation of the posterior based on grid search results. In the appendix, we illustrate
examples of mismatching posteriors, figure A5, and show how we used PPCs to adjust the hyperparameters
of the NDE, figure A6.
For all PPCs we drew 1000 random parameters {θi} from the approximated posterior p (θ | x∗),
emulated the chain model with these parameters on BSS-2 and recorded the observables {xi}. We used the
mean Euclidean distance between these observations and the target observation x∗ as an indicator for an
successful approximation.
2.4.2. Expected coverage
Recent publications indicate that the posteriors approximated with the SNPE algorithm tend to yield
overconfident posterior approximations, i.e. the posterior distribution is to narrow (Deistler et al 2022,
Hermans et al 2022). To test the confidence of our posteriors we calculated the expected coverage as
suggested in Hermans et al (2022).
We calculated the expected coverage as follows. First we drew 1000 random samples from the prior
distribution, {θ∗
i
observations {x∗
i
(θ∗, x∗)i and averaged over them to get the expected coverage.
} ∼ p(θ). We then performed the experiment with these parameters on BSS-2 to obtain
}, yielding pairs {(θ∗, x∗)i } ∼ p(θ, x). Finally, we calculated the coverage of each pair
The coverage of a single pair was calculated as follows. We drew 10 000 samples for from the amortized
} ∼ p(θ | x∗
posterior {θ ′
j
approximations of the posterior and not the final approximations6). Next, we used the posterior probability
of the original parameter p(θ∗ | x∗
i ) for each pair (i.e. we performed the coverage tests with the first round
i ) and of the drawn samples {p(θ ′
i )}j to estimate the coverage.
| x∗
j
5 https://github.com/mackelab/sbi, we used version 0.21.0.
6 As the first round approximation is amortized, we could condition it on arbitrary observations. Approximations in later rounds are
restricted to a single target observation.
5
Neuromorph. Comput. Eng. 3 (2023) 044006
J Kaiser et al
3. Results
To simplify the problem, we started by considering a 2D parameter space. This was achieved by setting the
leak and axial conductance globally. The low dimensionality of the parameter space allowed us to perform a
grid search in a reasonable amount of time and to easily visualize the results. The grid search result can give
an intuition about the behavior of the chain and was used as a comparison to the approximated posterior
obtained with the SNPE algorithm.
We also executed the SNPE for a high-dimensional (7) parameter space and performed PPCs. For both,
the 2D and high-dimensional parameter space we looked at different kind of observations and how these
influence the approximated posterior. Furthermore, we analyzed the correlation for each posterior and
performed coverage tests.
3.1. 2D parameter space
We reduced the dimensions of the parameter space to two by setting the leak and axial conductance for all
compartments and connections to the same digital value7; gi
axial = gaxial
∀i ∈ {0, 1, 2}.
leak = gleak ∀i ∈ {0, 1, 2, 3} and gi ↔i +1
3.1.1. Grid search
In order to obtain an overview of the model behavior, we performed a grid search over the 2D parameter
space. We created a grid of parameters by choosing equally spaced values of the leak and axial conductance
which span the whole parameter range. The model was then emulated with these parameters on the BSS-2
system and the membrane traces in the different compartments were recorded. In order to easily visualize the
results, we selected a one-dimensional (1D) observable. Exponential fits to the maximal height of
propagating PSPs were used in other publications to classify the attenuation of PSPs in apical dendrites
(Berger et al 2001). Similarly, we fitted an exponential to the PSP heights which resulted from an input to the
first compartment F = [h00, h10, h20, h30] and analyzed the exponential decay constant τ , figure 2(b). The
decay constant increased with increasing axial conductance gaxial and decreasing leak conductance gleak. Even
though the exponential is just an approximation for the attenuation of transient inputs in
multi-compartmental models, a correlation between leak and axial conductance is expected (Fatt and Katz
1951, Rall 1962). This behavior can also be understood with equations (1) and (2): a lower leak conductance
gleak leads to less charge leaking from the membrane and consequently a larger charge transfer to the
neighboring compartments, which can be counterbalanced by a lower axial conductance gaxial.
The responses of the membrane potentials to a synaptic input in the first compartment are displayed in
figure 3(b). For a low leak and a large axial conductance, 0⃝, the attenuation was the weakest and the PSP was
still clearly visible in the last compartment. Parameters on the same contour line showed, as expected, similar
attenuation, (cid:192) and `, even though the exact shape of the PSPs differed. For a large leak and a low axial
conductance, ´, the PSP decayed quickly and almost vanished in the third compartment.
3.1.2. Simulation-based inference
We used the SNPE algorithm to infer possible parameters θ = [gleak, gaxial] which reproduce a target
observation x∗ = [τ ∗]. Furthermore, we investigated how the posterior distribution changed when a more
informative observation x∗ = F∗ = [h∗
30] was used, compare figure 2(b).
In the case where a target observation x∗ is given by an experiment, the true posterior and the optimal
model parameters which replicate the observation are typically unknown. This makes it hard to assess the
quality of the posterior approximated by the SNPE algorithm. Therefore, we explicitly chose target
parameters θ∗
observation x∗ = τ ∗. This allowed us to perform a closure test and check whether the SNPE algorithm was
able to estimate a posterior which agreed with the initial observation.
, emulated our model with these parameters on BSS-2 and measured an ‘artificial’ target
10, h∗
20, h∗
00, h∗
We picked a target parameter θ∗
at the center of the parameter space and executed the model with this
parameter 100 times to account for trial-to-trial variations due to temporal noise. From the full matrix of
PSP heights H we extracted different target observations such as the decay constant τ . The mean of the
observed decay constants was our target observation x∗ = [τ ∗] = 1.17 ± 0.04; the decay constant is in units
of ‘compartments’. In contrast, while running the SNPE algorithm we executed the model just once for each
parameter and did not average over several trials.
We used a uniform distribution over all possible parameters as a prior distribution p(θ) and executed the
SNPE algorithm to obtain an approximation of the posterior distribution p (θ | x∗). The uniform
7 Due to the production induced mismatch between analog circuits, the same digital values lead to different conductances on the BSS-2
system.
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Figure 3. Propagation of post-synaptic potentials (PSPs) in a passive chain of four compartments emulated on the BrainScaleS-2
system. Leak and axial conductance were set to the same value for all compartments and connections between compartments. (a)
Grid search result illustrated as the difference of the measured decay constant τ , compare figure 2(b), to the target decay constant
τ ∗: |τ − τ ∗|. Traces recorded at the numbered points are displayed in panels (b) and (e). (b) Example traces recorded at different
locations in the parameter space, compare panel (a). The colors of the traces indicate in which compartment the trace was
recorded, compare figure 2(b). The traces are scaled relative to the height in the first compartment h00. Due to the faster
emulation of the neural dynamics on BSS-2, the time scales are in the microsecond rather than in the millisecond range. (c)
Posterior obtained with the sequential neural posterior estimation (SNPE) algorithm. The posterior shows a high density in the
parameter region where the target decay constant τ ∗ was recorded, `. As expected from the grid search result in panel (a), a
correlation between the leak and axial conductance is visible. Points where the decay constant is significantly lower/higher than
the target observation show a low probability density, 0⃝ and ´. (d) 500 random samples drawn from the approximated
posteriors for two different types of observations. The green points represent samples drawn from the posterior which is shown in
panel (c). The samples show a correlation between both parameters. If the absolute heights of the PSP which resulted from an
input to the first compartment F = [h00, h10, h20, h30] was chosen as observations (blue), the samples scatter around point `
where the original target F∗ was recorded. The histograms at the top and right of the scatter plot show histograms of the
parameter distribution in one dimension. (e) Same traces as in panel (b) but shown on an absolute scale. While traces (cid:192) and `
share a similar decay constant τ , compare panels (a) and (b), their absolute heights differs.
distribution covered the whole adjustable range of the leak and axial conductance which ranges from 0 to
1022, see section 2.1.2.
For a number of problems the SNPE algorithm was reported to be overconfident and ensembles made up
of several posteriors were used to retrieve a more conservative posterior approximation (Deistler et al 2022,
Hermans et al 2022). Since some of your posteriors were also overconfident, see later section, we combined
five posterior to a posterior ensemble.
In order to facilitate the comparison of the grid search results and the approximated posterior, we display
the difference between the target decay constant τ ∗ and the measured decay constant τ during the grid search
in figure 3(a). As expected form the grid search, a correlation between the leak gleak and the axial conductance
gaxial is clearly visible in the approximated posterior, figure 3(c). The posterior distribution shows high
densities for parameters θ which reproduced observations near the target observation during the grid search.
In order to retrieve a narrow posterior around the original parameters θ∗
, a more informative
observations was needed. While the PSP heights showed a similar decay for different sets of leak and axial
conductance, figure 3(b), the absolute heights of the PSPs differed, figure 3(e). We therefore used the PSPs
heights which resulted from an input to the first compartment F as a target observation, x∗ = F∗, to further
constrain possible parameters. The heights in the first compartment F were extracted from the same 100
trials as the decay constant τ . We ran the SNPE algorithm once again to retrieve another approximation of
the posterior. Samples {θi} drawn from this posterior were now scattered around the original parameter θ∗
in the parameter space and the parameters were uncorrelated, figure 3(d); the Pearson correlation coefficient
decreased from 0.92 to 0.004. The marginal distribution of the leak and axial conductance were bell-shaped
and showed a high density near the target parameter θ∗
.
3.1.2.1. Validation
In order to perform a PPC, we drew samples {θi} from the posterior distribution, figure 3(c), configured our
model with them and compared the observations {xi} with the target observation x∗. We measured a mean
decay constant of τ = 1.18 ± 0.08 which agrees with the target τ ∗ = 1.17 ± 0.04. Therefore, we conclude
that the approximated posterior is in agreement with the target observation τ ∗. The uncertainty of the
posterior predictive increased compared to the target observation since it contains the aleatoric uncertainty,
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Figure 4. Validation of the approximated posteriors found with the sequential neural posterior estimation (SNPE) for a
compartment chain of four compartments and setting parameters globally, compare figure 3. The gray lines mark the expected
coverage (Deistler et al 2022, Hermans et al 2022) of posterior approximations found with the SNPE algorithm, the black line
marks the expected overage of the posterior ensemble which is made up of those posteriors. Left: using the decay constant τ as an
observable. Several posteriors have an expected coverage below the diagonal which indicates an overconfident probability
distribution. When combining several posteriors to an ensemble, the expected coverage follows the diagonal which is a sign of a
well calibrated posterior. Right: post-synaptic potential heights resulting from an input to the first compartment as an
observation. All posteriors and their ensemble appear well calibrated as they closely follow the diagonal.
due to the inherent trial-to-trial variations, as well as the epistemic uncertainty which stems from the width
of the posterior distribution.
To test the calibration of the approximated posterior, we calculated the expected coverage, compare
section 2.4. When we used the decay constant τ as a target, three out of five posteriors were overconfident,
figure 4. We followed the methods presented in Deistler et al (2022) and Hermans et al (2022) and combined
five posteriors to form an ensemble. The expected coverage of this ensemble closely follows the diagonal and
indicates a well calibrated posterior.
In case of the heights F as a target, the single posteriors were already well calibrated. And consequently,
the ensemble of five posteriors was also well calibrated.
In the appendix , we compare the results from the emulation on BSS-2 with computer simulations
performed in the simulation library Arbor (Abi Akar et al 2019), figure A8.
3.2. Multidimensional parameter space
In order to increase the problem complexity, we set the leak and axial conductance for each compartment
and connection individually. For four compartments this resulted in a total of seven parameters; four leak
conductances gi
leak (i = 0, 1, 2, 3) and three axial conductances gi ↔i +1
(i = 0, 1, 2).
axial
As in the previous section we used a uniform prior and the PSP heights caused by an input to the first
compartment as a target (x∗ = F∗). We then executed the SNPE algorithm, combined five approximated
posteriors to an ensemble and drew samples from this posterior p(θ | x∗).
The marginal distribution of the sampled leak conductance in the first compartment g0
leak was
bell-shaped and peaked near the target parameter, figure 5(a). The almost uniform distributions of the leak
conductances in the other compartments indicated that they were not relevant for the chosen observation. In
contrast, the marginal distribution of all axial conductances were bell-shaped with a high density around the
original parameters. The distributions of the axial conductance became broader for conductances later in the
chain, suggesting that the influence of these conductances on the observable was weaker.
Similar to the 2D case, we considered a higher-dimensional observation as a target to retrieve narrower
posterior distributions, i.e. we chose all PSP heights as a target (x∗ = H∗), figure 5(a). Now the 1D marginals
of all parameters were bell-shaped. The marginals of the axial conductance showed a narrower distribution
than these of the leak conductance, indicating that the given observation was more sensitive to the axial
conductance.
3.2.1. Correlation
In figure 5(b) we display the correlation between posterior samples, the 1D and 2D marginals of posterior
samples can be found in figures A3 and A4. When we considered the PSP heights which resulted from an
input to the first compartment F as an observable we saw strong negative correlations between the leak
conductance in the first compartment g0
as well as the axial conductance between both compartments g1↔2
leak and the leak conductance in the neighboring compartment g1
axial . This can be explained with equations (1)
leak
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Figure 5. Results of the sequential neural posterior estimation algorithm for a compartment chain of four compartments and
setting parameters individually for each compartment and connection between them. Emulations were performed on the
neuromorphic BrainScaleS-2 system. (a) Histograms of 10 000 parameters drawn from the approximated posterior. For the
heights F of the post-synaptic potentials (PSPs) which resulted from an input to the first compartment as a target observation
(blue), the distribution of the leak conductance in the first compartments is bell-shaped and peaks near the target parameter
(dotted line). The leak conductance is roughly uniformly distributed in later compartments. The distributions of the axial
conductance are bell-shaped and broaden for later compartments. Choosing all heights H as a target (orange) leads to narrower
distributions. All histograms are now bell-shaped with a peak near the target (dotted line). (b) Pearson correlations between
different parameters. The color denotes the value of the correlation while the radius of the circle encodes the absolute value of the
correlation. Left: PSP heights resulting from an input to the first compartment F as a target. The strongest correlations can be
observed for the leak conductance in the first compartment g0
compartment g1↔2
Overall the correlations decrease for this more informative target. Only between neighboring leak conductances a high negative
correlation can be observed.
axial ; for parameters later in the chain the correlations shows lower values. Right: all PSP heights H as a target.
leak and the axial conductance between the first and second
and (2) and considering the PSP height in the first compartment: when the leak conductance g0
compartment increases, a higher current leaks from the membrane which would result in a smaller PSP
height; to counter this effect the charge which flows to the neighboring compartment has to be minimized by
reducing the axial conductance g1↔2
neighboring compartment.
The leak conductance g0
axial between the compartments or the leak conductance g1
leak was also negatively correlated to the other leak and axial conductances,
leak in the first
leak of the
compare first column in figure 5(b). The magnitude of the correlation decreased for parameters further away
from the first compartment. Apart from the correlation with the leak conductance g0
compartment, the correlation between the other leak conductances was low.
Interestingly, the correlations between the axial conductances gi ↔i+1
and the other leak conductance
leak of the first
axial
gi
leak, i > 0 was positive. As mentioned above a higher leak conductance leads to a larger leak current which
results in a smaller PSP height. Since we only considered an input to the first compartment, this increased
leak conductance gi
leak could be counteracted by increasing the charge which is injected from the previous
compartments and therefore increasing the conductance gj−1↔j
; j ⩽ i, i > 0 to compartments earlier in the
; j ⩾ i, i > 0 were still
chain. The correlation of the leak conductance gi
positive but significantly lower.
leak to later axial conductances gj ↔j+1
axial
axial
As expected, all axial conductances were correlated positively. This can be explained when considering
one compartment i, i > 0. An increase in the axial conductance gi−1↔i
compartment i; to prevent an accumulation of charge and therefore a larger PSP height, the conductance to
the next compartment gi ↔i+1
leads to a stronger current on
has to increase as well.
axial
axial
leak and gi+1
When taking all heights H as a target observation, the correlation between the different parameters
leak rather high negative correlations
decreased. Only between neighboring leak conductances gi
could be observed. To understand this correlation, we can consider two cases. We look at one compartment i,
increase its leak conductance gi
neighboring compartment i ± 1. First, input in the same compartment: as before an increased leak
leak results in a lower PSP height which can be compensated by a smaller leak conductance gi±1
conductance gi
in the neighboring compartments. Similarly, in the second case when the input is injected in a neighboring
compartment, an increased leak conductance gi
decreased PSP height. Consequently, the leak conductance gi±1
reduced such that more charge can flow on compartment i.
leak and consider once an input to the same compartment i and once to a
leak would once again lead to an increased leakage and a
leak in the neighboring compartment should be
leak
3.2.2. Validation
We once again used PPCs to check if samples drawn from the approximated posterior {θi} reproduce the
target observation. The mean difference between observations {Hi} obtained with these parameters and the
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Figure 6. Validation of the approximated posteriors found with the sequential neural posterior estimation (SNPE) for a
compartment chain of four compartments and setting parameters individually for each compartment and connection between
them, compare figure 5. Emulations were performed on the neuromorphic BrainScaleS-2 system. (a) Posterior-predictive check.
The passive chain was configured with 1000 of the parameters {θi} drawn in figure 5(a) and the post-synaptic potential (PSP)
heights in all compartments {Hi} were measured on the BrainScaleS-2 system. These PSP heights were compared to the
observation H∗ which represents the measurement with the target parameters θ∗. The vertical lines show the mean deviation of
the observations {Hi} from this target H∗ while the horizontal bars illustrate the standard deviation of this deviation. As
mentioned in the introduction, analog hardware is subject to temporal noise. Therefore, the hardware was configured to the
target parameters θ∗ 100 times and the mean PSP heights were chosen as a target H∗; the deviations in this panel are scaled by the
standard deviation σ∗ of these 100 measurements (each height deviation hij is divided by the standard deviation of the height
σ∗
ij ). For all PSP heights the mean observation is within 1 to 2 standard deviations of the initial target. When a more informative
observation H is chosen, the standard deviations decreases. A prior-predictive check can be found in the appendix, figure A2. (b)
Coverage tests. The gray lines mark the expected coverage (Deistler et al 2022, Hermans et al 2022) of posterior approximations
found with the SNPE algorithm, the black line marks the expected overage of the posterior ensemble which is made up of these
posteriors. Left: PSP heights resulting from an input to the first compartment F as an observation. The expected coverage is for all
confidence levels below the diagonal which suggests that the posteriors are overconfident. Even an ensemble made up of five
posteriors is not well calibrated. Right: all PSP heights H as a target. The individual posteriors are overconfident but the ensemble
of them is well calibrated.
target observation H∗ are displayed in figure 6(a). H describes all observed PSP heights and the target
observation F∗ was extracted from H∗, see figure 2(a).
The mean of the PSP heights for an input to the first compartment (first column) was near the initial
target values; the standard deviation was in the range of 1–2 σ∗ where σ∗ is the standard deviation of the
measurements which were used to extract the target observation H∗. For responses in the first compartment
(first row) a similar standard deviation could be observed, but the mean observation showed a slightly higher
deviation from the target observation. For the other PSP heights the mean was still in the one-sigma range of
the initial target observation, but the standard deviation of the observations was significantly higher. The
small deviation of the mean observations can be explained by our target parameter which is located at the
center of the parameter space; a prior predictive check also yielded mean observations near the target
observations, compare figure A2. The higher standard deviations are expected since these PSP heights have
not been part of the observation and can be attributed to the broad posterior distribution of the leak and
axial conductance in later compartments, compare figure 5(a).
The sharpening of the posterior distribution was also visible in the results of the PPC, figure 6(a). Here
the standard deviation of the observations decreased to the range of 1–2 σ∗ for all PSP heights.
As for the 2D case, we calculated the expected coverage for the approximated posteriors and their
ensembles, figure 6(b). With the heights which resulted from an input to the first compartment F as an
observable, all five posteriors were overconfident and also an ensemble made up of these five posteriors was
still overconfident. When using all heights H as an observation, the expected coverage of the individual
posteriors were similar to the case before. However, the expected coverage of the ensemble was near the
diagonal; this suggests that the posterior was well calibrated.
4. Discussion
We have shown that the SNPE algorithm can be used to parameterize the analog neuromorphic BSS-2
system. To be able to investigate the posteriors approximated by the SNPE algorithm, we selected a
multi-compartmental model which takes the form of a chain of passive compartments. We chose the leak
conductance as well as the axial conductance between compartments as parameters and observed how PSPs
propagated along the chain. This model allowed us to easily change the dimensionality of the parameter
space as well as the choice of observable and evaluate how this influences the approximated posteriors.
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In all our experiments, we picked a set of target parameters, extracted an observation with these
parameters and then used the SNPE algorithm to approximate the posterior distribution of the parameters
which reproduce this given observation.
As a first step, we considered a 2D parameter space where we set all leak conductances and axial
conductances to the same value. The low dimensionality of the parameter space allowed us to perform a grid
search in a reasonable amount of time. The posterior approximated by the SNPE algorithm agreed with the
results from this grid search. In both cases we found a correlation between the leak and axial conductance
when looking at the attenuation of PSPs; this agrees with theoretical expectations (Fatt and Katz 1951, Rall
1962). To be able to find such correlation is one of the advantages of a posterior approximation over
traditional parameter search algorithms which usually only yield a set of parameters which reproduce the
given observation but do not illustrate the relation between different parameters.
When we chose a more informative observation, specifically the height of the PSPs which result from an
input to the first compartment, the posterior distribution of the parameters narrowed and the correlation
between leak and axial conductance vanished. We further showed that the algorithm is capable of finding
appropriate posterior approximations for several, random values of the target parameters. The
approximations were even in agreement with the target parameters if they lie at the edges of the parameter
space. This indicates that the algorithm is able to deal with the hard parameter limits which are dictated by
the neuromorphic hardware.
Furthermore, we performed coverage tests to assess the calibration of the posterior approximations. The
posteriors produced with the less informative observation were overconfident, requiring an ensemble of five
posteriors to retrieve a well calibrated posterior. In contrast, all posteriors approximated for the more
informative observation were well calibrated.
Next, we increased the dimensionality of the parameter space by adjusting each leak and axial
conductance individually; resulting in a seven-dimensional parameter space. We showed that the marginal
distributions of samples drawn from the posterior approximations have a high density around the target
parameters. In addition, we analyzed the correlation between the different parameters and showed that they
agree with the model equations.
Furthermore, we conducted PPCs to verify that the parameters drawn from the approximated posterior
yield emulated results which align with the target observation. Similar to the 2D case, increasing the
dimensionality of the observable resulted in a narrower posterior distribution. When using the height of the
PSPs which resulted from an input to the first compartment as an observable, we did not find well calibrated
posteriors even when combining multiple posteriors into an ensemble. After increasing the dimensionality of
the observable, the individual posteriors remained overconfident but the ensemble made up of five of them
was well calibrated.
5. Conclusion
The SNPE algorithm has previously only been utilized to identify suitable parameters for numerical
simulations (Lueckmann et al 2017, Greenberg et al 2019, Gonçalves et al 2020, Deistler et al 2022). In the
current work we show that the algorithm can also be employed to parameterize a physical system, namely the
BSS-2 neuromorphic system.
In contrast to other search algorithms such as random search, genetic algorithms or gradient-based
algorithms, the SNPE algorithm provides an approximation of the full posterior and therefore allows to
identify correlations between parameters and to quantify the confidence of the parameter estimation.
Additionally, the SNPE algorithm is agnostic to the internal dynamics of the experiment and does not require
the calculation of gradients. Compared to traditional SBI methods the SNPE algorithm offers a higher
simulation efficiency (Papamakarios and Murray 2016, Cranmer et al 2020). As a result, SNPE is a viable
alternative to traditional optimization methods.
When one simply optimizes for a single objective and is not concerned with the correlations between
parameters, gradient based methods can offer a more directed optimization approach and are potentially
faster in recovering suitable parameters; they have successfully been used to find parameters for BSS-2
(Cramer et al 2022, Arnold et al 2023, Pehle et al 2023). However, having access to an approximated posterior
distribution and the correlations between different parameters can give valuable insight in the dynamics of
the underlying model as shown in the current study.
To evaluate the quality of the approximated posteriors, we generated the target observation from our
model. As a result, we knew the true parameters of the target observation and were certain that our model
can reproduce the given observation. In subsequent studies, we will use the SNPE algorithm to replicate
observations which are generated by another model such as numerical simulations or by physiological
experiments.
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Furthermore, we only considered passive neuron properties in our current experiments. As seen in the
grid search results, this lead to a rather smooth parameter space, where the observations change gradually
with the model parameters. More complex neuron models of interest include non-linear behavior such as
somatic or dendritic spikes and will potentially have high-dimensional parameter spaces. Gonçalves et al
(2020) and Deistler et al (2022) have previously shown that the SNPE algorithm and derivatives of it can deal
with such high-dimensional parameter spaces and non-linear behavior and it will be interesting if this
success can be transferred to emulations on neuromorphic hardware.
In summary, we demonstrated that the SNPE algorithm is able to find posterior approximations for
parameters of the analog neuromorphic BSS-2 system.
Data availability statement
The data that support the findings of this study are openly available (Kaiser et al 2023). The experiment code
is available on https://github.com/electronicvisions/model-paper-mc-sbi.
Acknowledgments
We thank the lead of HBP’s FIPPA project Christian Tetzlaff for scientific input; A Baumbach, S Billaudelle, A
Grübl, J Ilmberger, C Mauch, C Pehle, Y Stradmann, P Spilger and J Weis for their contributions to BSS-2; as
well as all present and former members of the Electronic Vision(s) research group. We thank the anonymous
reviewers for their thorough evaluation and valuable suggestions.
This work has received funding from the EU ([FP7/2007–2013], [H2020/2014–2020]) under Grant
Agreements 604102 (HBP), 720270 (HBP SGA1), 785907 (HBP SGA2) and 945539 (HBP SGA3); the
Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence
Strategy EXC 2181/1-390900948 (the Heidelberg STRUCTURES Excellence Cluster) as well as from the
Manfred Stärk Foundation.
Contributions
J K, J S and S S designed research; J K and R S performed research; J K, J S, R S and S S analyzed data; J K and
S S wrote the paper; all authors edited the paper; E M, J K, R S and S S contributed software; and J S designed
the BrainScaleS-2 neuromorphic system.
Appendix
In the following appendix, we state which neuron parameters were used during the experiment, how the
hyperparameters of the SNPE algorithm influenced the approximated posterior and compare our results to
simulations in Arbor (Abi Akar et al 2019). Furthermore, we attach figures which extend the results
presented in the paper; figures A1–A4.
A.1. Neuron parameters
In order to ensure a similar behavior of the different compartments, the leak potential and the synaptic
properties were calibrated. The synaptic time constant was calibrated to a value of 10 µs. As can be extracted
from figure 2(b), the decay constant varied in our experiments between 0.16 to 4.08 compartments. When
varying the leak conductance gleak over the full range specified in figure 3, the membrane time constant
τm = Cm
gleak
varies in the range of 12–30 µs.
A.2. Sequential neural posterior estimation algorithm
We adjusted the number of simulations as well as the properties of the NDE and used PPCs to check how
these hyperparameters influence the approximated posterior. For each set of hyperparameters we executed
the SNPE algorithm ten times with different seeds. The seeds influence the initial weights as well as the
parameters θ which are drawn from the prior in the first round. Different sets of hyperparameters shared the
same seeds.
A.2.1. Number of simulations and rounds
For the 2D parameter space and the decay constant τ as an observable, three times 50 emulations were
sufficient to recover a posterior which is in agreement with the target observation. Retrieving the observation
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Figure A1. Exponential fit to the traces displayed in figures 3(b) and (e). The heights of the post-synaptic potentials (PSPs) are
extracted from the recorded membrane traces, compare figure 2(a), and exponentials (solid lines) are fitted to the measurement
points. The numbering is the same as in figure 3. The x-axis label mark the compartment in which the height of the PSP was
measured and in brackets the variable name as defined in figure 2(a).
Figure A2. Comparison between a prior-predictive check and the posterior-predictive checks (PPCs) in figure 6(a). The data for
the posterior-predictive checks (PPCs) are copied from figure 6(a), the PPC was performed for two different observations:
post-synaptic potential (PSP) heights which resulted from an input to the first compartment F and all PSP heights H. The
prior-predictive check was performed similar to the PPCs but the samples were drawn from the prior distribution p(θ). The
vertical lines show the mean deviation of the observations {Hi} from this target H∗ while the horizontal bars illustrate the
standard deviation of this deviation. The hardware was configured to the target parameters θ∗ 100 times and the mean PSP
heights were chosen as a target H∗; the deviations in this figure are scaled by the standard deviation σ∗ of these 100
measurements (each height deviation hij is divided by the standard deviation of the height σ∗
so far off from the target observation in most cases, the standard deviation is significantly higher than for the PPCs.
ij ). While the mean observation is not
of a single emulation (including hardware configuration, experiment execution, data retrieval and
evaluation) took about took about 420 ms.
When the observable is changed to the height of the PSPs which result from an input to the first
compartment F, the SNPE algorithm failed to find a suitable approximation if the number of emulations was
too low. This was due to a poor approximation in the first round from which the algorithm needed some
time to recover or may not recover in the given emulation budget, figure A5. We observed that a higher
number of emulations in the first round reduced the number of cases where the posterior was approximated
poorly. Therefore, we chose 500 emulations in the first round followed by ten rounds of 50 emulations for a
2D parameter space with F as an observable. We used two times 1000 emulations for the multidimensional
parameter space, section 3.2.
A.2.2. Neural density estimator
Based on the results in Lueckmann et al (2021) we use MAFs as NDEs (Papamakarios et al 2017). MAFs
transform normal distributions in other probability distributions. We used the values provided by the sbi
package (Tejero-Cantero et al 2020) as defaults; similar values have also been used in previous publications
(Gonçalves et al 2020, Lueckmann et al 2021). Here the MAF is made up of five transformations which are
chained together. Each of these transformation consists of two blocks with 50 hidden units per block. For
more information see Papamakarios et al (2017, 2021).
In case of a 2D parameter space and the decay constant τ as a target, section 3.1, a single transformation
with two blocks of ten hidden units each was sufficient. If we selected the heights which result from an input
to the first compartment F as a target, a single transformation was not sufficient to recover a meaningful
posterior, figure A6. Starting from two transformations and 30 hidden units, the best value of the PPC were
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Figure A3. One- and two-dimensional marginal distributions of 1000 samples which were drawn from the posterior ensembles
displayed in figures 5 and 6, the target observations were the PSP heights F which resulted from an input to the first compartment.
obtained. The only exception is the network with three transformations and 20 hidden units for which the
algorithm could not recover from a poor approximation in the first round.
An MAF with 1 transformation and 50 hidden units is made up of 3764 trainable parameters and fails to
approximate the true posterior. On the other hand an MAF with 5 transformations and 10 hidden units in
each block offers just 1720 trainable parameters but is able to find approximations which agree with the
target observation. We conclude, that a high number of transformations was more important for a good
posterior approximation than a high number of trainable parameters. For the results reported in figure 3(d)
we used the NDE with five transformations, two blocks and ten hidden units.
A.3. Choice of the target parameters
We chose a target parameter θ∗
at the center of the parameter space to measure target observations x∗. For
the experiment with the 2D parameter space and the PSP heights for an input to the first compartment, we
want to show that the approximated posterior is also appropriate for other choices of the target parameter
θ∗
. As mentioned in the introduction, the posterior estimation is amortized after the first round of SNPE
and can therefore be used to infer parameters θ for any observation x. We draw five random parameters
{θ∗
} from the uniform prior and emulate the model on BSS-2 with the given parameters to record
i
observations {x∗
i
θ ∼ p(θ | x∗
}. For each of these observations, we draw samples from the amortized posterior estimation
i ), figure A7.
For each of the randomly selected observations x∗
which were used to obtain the given observation θ∗
i the drawn samples cluster around the parameters
i . Even if the target parameters are at the edge of the
14
Neuromorph. Comput. Eng. 3 (2023) 044006
J Kaiser et al
Figure A4. One- and two-dimensional marginal distributions of 1000 samples which were drawn from the posterior ensembles
displayed in figures 5 and 6, the target observation were all PSP heights H.
parameter space, the approximated posterior returns samples near these target parameters. Therefore, we
conclude that the SNPE algorithm is suitable to find parameters for observations which were obtained for
parameters at arbitrary locations in the parameter space and that our choice of target parameters θ∗
at the
center of the parameter space does not affect the generality of the reported results.
A.4. Simulations
We used the Arbor simulation library (version 0.8.1) to compare our results to computer simulations (Abi
Akar et al 2019). Arbor is a high-performance simulator which supports multi-compartmental neuron
models. As Arbor solves the model equations numerically, it does not suffer from trial-to-trial variations and
thus we expect the posterior distributions to be narrower.
As in the main part of the paper, we simulated a chain with four compartments. The length of a single
compartment was set to lcomp = 1 mm, its diameter to dcomp = 4 µm and its capacitance to C = 125 pF. While
the length and diameter were chosen arbitrarily, the capacitance reflected the capacitance of the
compartments used during the emulation on BSS-2. The range of the leak conductance gleak was selected such
that the membrane time constant of the simulated neurons was in agreement with the emulated neurons on
BSS-2. Similarly, the range of the axial conductance gaxial was chosen such that the axial conductance along a
simulated compartment is comparable to the conductance between compartments on BSS-2.
The results from the grid searches were comparable, figures A8 and 3, but the chosen parameter ranges
led to a slightly higher dynamic range of the length constant. In both cases a correlation between the leak and
axial conductance was observed.
15
Neuromorph. Comput. Eng. 3 (2023) 044006
J Kaiser et al
Figure A5. Evolution of the approximated posterior over several rounds of the sequential neural posterior estimation (SNPE)
algorithm. Results are shown for emulations executed on the BrainScaleS-2 system. (a) Posterior-predictive check (PPC) for a
emulation budget of 10 rounds with 50 emulations in each round (the PPC was executed with 1000 parameters sampled from the
posteriors). The SNPE algorithm was executed ten times with different seeds. For some executions of the SNPE algorithm, the
approximated posterior in the first round poorly replicates observations which are similar to x∗; this is evident in a high mean
distance E. In all displayed cases the SNPE algorithm is able to recover a meaningful posterior. (b) Examples for one case where
the SNPE algorithm is able to approximate a meaningful posterior and one case in which the algorithm fails to find a good
approximation in the first three rounds. In both cases, the approximation in the first round does not agree with the true posterior.
In the top row, the algorithm is able to quickly recover from the poor approximation while in the bottom row more rounds are
needed to obtain a meaningful approximation. The parameter ranges are the same as in figure 3(c).
Figure A6. Influence of the parameterization of the neural density estimator (NDE) on the approximation of the posterior. We
used masked autoregressive flows (MAFs) as NDEs. MAFs transform normal distributions in other distributions (Papamakarios
et al 2017). We used transformations which are made up of two blocks and change the number of hidden units which are used in
each block (Gonçalves et al 2020). Furthermore, we changed the number of transformations which are chained together. As in
figure A5(a) we performed a posterior-predictive check and used the mean distance between these samples and the target as a
measure to decide if the approximation agreed with the target observation x∗. Again, we used the post-synaptic potential heights
resulting from an input to the first compartment as an observable and repeated the sequential neural posterior estimation
algorithm with ten different seeds for each set of hyperparameters. At least two transformation were needed to recover a
meaningful posterior. The number of experiments in which a meaningful posterior could be recovered seemed to increase with
the number of transformations. The total number of trainable parameters was not an indicator how well the NDE was able to
approximate the true posterior.
The shapes of the approximated posteriors also agreed with the results obtained for emulation on BSS-2.
As expected, the approximated posterior distribution for the simulation was narrower than the
approximation for BSS-2 due to temporal noise.
16
Neuromorph. Comput. Eng. 3 (2023) 044006
J Kaiser et al
Figure A7. Posterior samples {θj}i ∼ p(θ | x∗
i ) for different observations x∗
i . We drew five random parameters θi from a
uniform prior and one parameter at the center of the parameter space (marked by black crosses). The target observations
{x∗
} were obtained by emulating the model 100 times for each parameter on BrainScaleS-2 and taking the mean height of the
i
post-synaptic potential obtained from an input to the first compartment, compare figure 3(d). As a posterior approximation
we used the first round posterior obtained while executing the sequential neural posterior estimation algorithm in
section 3.1.2. The samples drawn from the approximated posterior (small dots) are in the vicinity of the parameters which
were used to create the target observations (black crosses).
Figure A8. Propagation of post-synaptic potentials (PSPs) in a passive chain of four compartments simulated in Arbor. We
performed the same experiments as in figure 3 and we follow the structure of this figure. (a) Grid search of the decay constant τ .
The dependency on the leak conductance gleak and the axial conductance gaxial is comparable to figure 3(a). (b) Example traces
recorded at different locations in the parameter space, compare panel (a). The traces are scaled relative to the height in the first
compartment h00. (c) Posterior obtained with the sequential neural posterior estimation (SNPE) algorithm. While the shape of
the approximated posterior is comparable to the one in figure 3(c), the approximated posterior for the simulations is narrower.
(d) 500 random samples drawn from the approximated posteriors for two different types of observations. The distribution of the
random samples is comparable to the results in figure 3(d), but in agreement with the narrower posterior in panel (c), the
distribution of the samples is more narrow. (e) Same traces as in panel (b) but shown on an absolute scale.
ORCID iDs
Jakob Kaiser https://orcid.org/0000-0002-3586-2634
Raphael Stock https://orcid.org/0009-0008-5531-1072
Eric Müller https://orcid.org/0000-0001-5880-2012
Johannes Schemmel https://orcid.org/0000-0003-1440-4375
Sebastian Schmitt https://orcid.org/0000-0002-7935-0470
References
Aamir S A, Müller P, Kiene G, Kriener L, Stradmann Y, Grübl A, Schemmel J and Meier K 2018 A mixed-signal structured AdEx neuron
for accelerated neuromorphic cores IEEE Trans. Biomed. Circuits Syst. 12 1027–37
Abi Akar N, Cumming B, Karakasis V, Küsters A, Klijn W, Peyser A and Yates S 2019 Arbor—a morphologically-detailed neural network
simulation library for contemporary high-performance computing architectures 2019 27th Euromicro Int. Conf. on Parallel,
Distributed and Network-Based Processing (PDP) (IEEE) pp 274–82
Arnold E, Böcherer G, Strasser F, Müller E, Spilger P, Billaudelle S, Weis J, Schemmel J, Calabr`o S and Kuschnerov M 2023 Spiking neural
network nonlinear demapping on neuromorphic hardware for IM/DD optical communication J. Lightwave Technol. 41 1–8
Baker R E, Pe˜na J-M, Jayamohan J and Jérusalem A 2018 Mechanistic models versus machine learning, a fight worth fighting for the
biological community? Biol. Lett. 14 20170660
17
Neuromorph. Comput. Eng. 3 (2023) 044006
J Kaiser et al
Berger T, Larkum M E and Lüscher H-R 2001 High I(h) channel density in the distal apical dendrite of layer V pyramidal cells increases
bidirectional attenuation of EPSPs J. Neurophysiol. 85 855–68
Billaudelle S, Weis J, Dauer P and Schemmel J 2022 An accurate and flexible analog emulation of AdEx neuron dynamics in silicon 2022
29th IEEE Int. Conf. on Electronics, Circuits and Systems (ICECS) pp 1–4
Bishop C M 1994 Mixture density networks Technical Report (Aston University) (available at: https://research.aston.ac.uk/en/
publications/mixture-density-networks)
Brette R and Gerstner W 2005 Adaptive exponential integrate-and-fire model as an effective description of neuronal activity J.
Neurophysiol. 94 3637–42
Cramer B, Billaudelle S, Kanya S, Leibfried A, Grübl A, Karasenko V, Pehle C, Schreiber K, Stradmann Y and Weis J 2022 Surrogate
gradients for analog neuromorphic computing Proc. Natl Acad. Sci. 119 e2109194119
Cranmer K, Brehmer J and Louppe G 2020 The frontier of simulation-based inference Proc. Natl Acad. Sci. 117 30055–62
Davies M, Srinivasa N, Lin T-H, Chinya G, Cao Y, Choday S H, Dimou G, Joshi P, Imam N and Jain S 2018 Loihi: a neuromorphic
manycore processor with on-chip learning IEEE Micro 38 82–99
Davison A P, Brüderle D, Eppler J, Kremkow J, Muller E, Pecevski D, Perrinet L and Yger P 2009 PyNN: a common interface for neuronal
network simulators Front. Neuroinform. 2 11
Deistler M, Goncalves P J and Macke J H 2022 Truncated proposals for scalable and hassle-free simulation-based inference
(arXiv:2210.04815)
Fatt P and Katz B 1951 An analysis of the end-plate potential recorded with an intra-cellular electrode J. Physiol. 115 320–70
Furber S B, Lester D R, Plana L A, Garside J D, Painkras E, Temple S and Brown A D 2013 Overview of the SpiNNaker system
architecture IEEE Trans. Comput. 62 2454–67
Gonçalves P J et al 2020 Training deep neural density estimators to identify mechanistic models of neural dynamics eLife 9 e56261
Greenberg D, Nonnenmacher M and Macke J 2019 Automatic posterior transformation for likelihood-free inference Proc. 36th Int. Conf.
on Machine Learning vol 97 (PMLR) pp 2404–14 (available at: https://proceedings.mlr.press/v97/greenberg19a.html)
Hermans J, Delaunoy A, Rozet F, Wehenkel A and Louppe G 2022 A crisis in simulation-based inference? Beware, your posterior
approximations can be unfaithful Trans. Mach. Learn. Res. (available at: https://openreview.net/forum?id=LHAbHkt6Aq)
Hock M, Hartel A, Schemmel J and Meier K 2013 An analog dynamic memory array for neuromorphic hardware 2013 European Conf.
on Circuit Theory and Design (ECCTD) pp 1–4
Indiveri G et al 2011 Neuromorphic silicon neuron circuits Front. Neurosci. 5 73
Kaiser J, Billaudelle S, Müller E, Tetzlaff C, Schemmel J and Schmitt S 2022 Emulating dendritic computing paradigms on analog
neuromorphic hardware Neuroscience 489 290–300
Kaiser J, Stock R, Müller E, Schemmel J and Schmitt S 2023 Simulation-based inference for model parameterization on analog
neuromorphic hardware [data] (https://doi.org/10.11588/data/AVFF2E)
Lueckmann J M, Boelts J, Greenberg D, Goncalves P and Macke J 2021 Benchmarking simulation-based inference Proc. 24th Int. Conf.
on Artificial Intelligence and Statistics (AISTATS) vol 130 (PMLR) pp 343–51 (available at: https://proceedings.mlr.press/v130/
lueckmann21a.html)
Lueckmann J M, Goncalves P, Bassetto G, Öcal K, Nonnenmacher M and Macke J 2017 Flexible statistical inference for mechanistic
models of neural dynamics Advances in Neural Information Processing Systems vol 30 (available at: https://proceedings.neurips.cc/
paper_files/paper/2017/hash/addfa9b7e234254d26e9c7f2af1005cb-Abstract.html)
Mayr C, Hoeppner S and Furber S 2019 SpiNNaker 2: a 10 million core processor system for brain simulation and machine learning
(arXiv:1911.02385)
Müller E, Mauch C, Spilger P, Breitwieser O J, Klähn J, Stöckel D, Wunderlich T and Schemmel J 2020 Extending BrainScaleS OS for
BrainScaleS-2 Technical Report (Electronic Vision(s), Kirchhoff Institute for Physics, Heidelberg University) (arXiv:2003.13750)
Papamakarios G and Murray I 2016 Fast ε-free inference of simulation models with Bayesian conditional density estimation Advances in
Neural Information Processing Systems vol 29 (Curran Associates Inc.) pp 1036–44
Papamakarios G, Nalisnick E, Rezende D J, Mohamed S and Lakshminarayanan B 2021 Normalizing flows for probabilistic modeling
and inference J. Mach. Learn. Res. 22 1–64 (available at: https://jmlr.org/papers/v22/19-1028.html)
Papamakarios G, Pavlakou T and Murray I 2017 Masked autoregressive flow for density estimation Advances in Neural Information
Processing Systems vol 30 (available at: https://proceedings.neurips.cc/paper_files/paper/2016/hash/6aca97005c68f12068238
15f66102863-Abstract.html)
Papamakarios G, Sterratt D and Murray I 2019 Sequential neural likelihood: fast likelihood-free inference with autoregressive flows Proc.
22nd Int. Conf. on Artificial Intelligence and Statistics (Proc. Machine Learning Research) vol 89 (PMLR) pp 837–48 (available at:
https://proceedings.mlr.press/v89/papamakarios19a.html)
Pehle C, Billaudelle S, Cramer B, Kaiser J, Schreiber K, Stradmann Y, Weis J, Leibfried A, Müller E and Schemmel J 2022 The
BrainScaleS-2 accelerated neuromorphic system with hybrid plasticity Front. Neurosci. 16 795876
Pehle C, Blessing L, Arnold E, Müller E and Schemmel J 2023 Event-based backpropagation for analog neuromorphic hardware
(arXiv:2302.07141)
Rall W 1962 Electrophysiology of a dendritic neuron model Biophys. J. 2 145
Sisson S A, Fan Y and Beaumont M 2018 Handbook of Approximate Bayesian Computation (CRC Press) (available at: https://books.
google.de/books/about/Handbook_of_Approximate_Bayesian_Computa.html?id=9QhpDwAAQBAJ&
source=kp_book_description&redir_esc=y)
Tejero-Cantero A, Boelts J, Deistler M, Lueckmann J-M, Durkan C, Gonçalves P J, Greenberg D S and Macke J H 2020 SBI: a toolkit for
simulation-based inference J. Open Source Softw. 5 2505
Van Geit W, De Schutter E and Achard P 2008 Automated neuron model optimization techniques: a review Biol. Cybern. 99 241–51
Vanier M C and Bower J M 1999 A comparative survey of automated parameter-search methods for compartmental neural models J.
Comput. Neurosci. 7 149–71
Wunderlich T et al 2019 Demonstrating advantages of neuromorphic computation: a pilot study Front. Neurosci. 13 260
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10.1103_physrevresearch.5.013045.pdf
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PHYSICAL REVIEW RESEARCH 5, 013045 (2023)
Superconductivity of non-Fermi liquids described by Sachdev-Ye-Kitaev models
Chenyuan Li
, Subir Sachdev , and Darshan G. Joshi
Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
(Received 16 August 2022; revised 9 November 2022; accepted 20 December 2022; published 25 January 2023)
We investigate models of electrons in the Sachdev-Ye-Kitaev class with random and all-to-all electron hop-
ping, electron spin exchange, and Cooper-pair hopping. An attractive on-site interaction between electrons leads
to superconductivity at low temperatures. Depending on the relative strengths of the hopping and spin exchange,
the normal state at the critical temperature is either a Fermi-liquid or a non-Fermi liquid. We present a large-M
[where spin symmetry is enlarged to SU(M )] study of the normal state to superconductor phase transition. We
describe the transition temperature, the superconducting order parameter, and the electron spectral functions.
We contrast between Fermi liquid and non-Fermi liquid normal states: we find that for weaker attractive on-site
interaction there is a relative enhancement of Tc when the normal state is a non-Fermi liquid, and correspondingly
a strong deviation from BCS limit. Also, the phase transition in this case becomes a first-order transition for
strong non-Fermi liquids. On the other hand, for stronger on-site interaction, there is no appreciable difference
in Tc between whether the superconductivity emerges from a Fermi liquid or a non-Fermi liquid. Notable features
of superconductivity emerging from a non-Fermi liquid are that the superconducting electron spectral function
is different from the Fermi-liquid case, with additional peaks at higher energies, and there is no Hebel-Slichter
peak in the NMR relaxation rate in the non-Fermi liquid case.
DOI: 10.1103/PhysRevResearch.5.013045
I. INTRODUCTION
The classic BCS theory provides a highly successful de-
scription of the onset of superconductivity (SC) from a Fermi
liquid (FL). However, in modern correlated electron materials,
the normal state at the onset of higher temperature super-
conductivity is usually not a Fermi liquid. Below the critical
temperature, basic aspects of the BCS superconducting state
[such as the breaking of U(1) gauge symmetry by an electron
pair condensate] continue to hold, but numerous quantitative
details on the critical temperature, superconducting gap am-
plitude, and electron spectral function are not described by
BCS theory.
A popular class of theories for the onset of superconduc-
tivity from a non-Fermi liquid (NFL) focus on a normal state
which has a Fermi surface coupled to a critical boson [1–6].
The boson could represent a symmetry breaking order pa-
rameter at a quantum critical point, or an emergent excitation
associated with spin liquid physics. This critical boson plays
a dual role—it leads to the breakdown of quasiparticles in
the normal state, and it also leads to superconductivity at low
temperature (T ) by inducing pairing between the underlying
electrons. The precise manner in which the non-Fermi liquid
gives way to superconductivity at low T is not well under-
stood, and remains a topic of great interest.
Published by the American Physical Society under the terms of the
Creative Commons Attribution 4.0 International license. Further
distribution of this work must maintain attribution to the author(s)
and the published article’s title, journal citation, and DOI.
In this paper, we will address the interplay between the
non-Fermi liquid and superconductivity using a different class
of simpler and more tractable models. These models do not
have much spatial structure because of the presence of all-to-
all hopping and interactions. However, they have the virtue
of being exactly solvable, and so can describe the compe-
tition between the different energy scales in a quantitative
manner. We consider the Sachdev-Ye-Kitaev (SYK) type of
models [7,8], which are a rare class of solvable models leading
to non-Fermi liquid phases [9]. Models in this class have been
recently studied in different contexts of strongly correlated
systems. In this work, we consider a model of electrons with
an attractive on-site interaction. In the spirit of SYK models,
we consider random and all-to-all hopping, exchange inter-
action, and Cooper-pair hopping. This model was previously
considered by us and for weak interaction an anomalous metal
phase (or a Bose metal) was shown to exist [10] in the prox-
imity of superconducting phase. In this work, our focus is on
the superconducting phase, and the associated thermal phase
transition. Depending on the relative strength of the hopping
amplitude and exchange interaction, the normal state at higher
temperatures is either a FL or a NFL. Thus our model allows
us to systematically investigate the emergence of supercon-
ductivity by continuously tuning between FL and NFL normal
states. Moreover, we show that SC emerging from a NFL has
certain unique features in the spectral function that are absent
in the case of a FL-SC transition.
There have been previous studies of superconductivity in
SYK models [11–19]. However, our model is distinct from
the previously considered models. In our model in Eq. (18),
we start with a SU(2) spin symmetry [see HJ in Eq. (20)],
just as in the original Sachdev-Ye (SY) model [7]. In previous
2643-1564/2023/5(1)/013045(14)
013045-1
Published by the American Physical Society
LI, SACHDEV, AND JOSHI
PHYSICAL REVIEW RESEARCH 5, 013045 (2023)
models the random and all-to-all SYK term is in general not
SU(2) symmetric: in Refs. [11,12] a general Hamiltonian of
two coupled SYK models is considered, which has a SU(2)
symmetry only at a special point (α = 1/4 in the notation
used in Ref. [11]), and it corresponds to the zero hopping limit
with U = t = L = 0 in our model. However, it is shown in
Refs. [11,12] that at this SU(2) symmetric point there is no
superconductivity, which is consistent with our results. Refer-
ence [14] also examined models without any hopping, but did
examine finite N corrections. The models of Refs. [16,17] are
related to the one examined here, but with lattice rather than
random matrix hopping: the lattice dispersions and all-to-all
random hopping for electrons lead to equations with similar
solutions [9]. Because of the simpler form of our equations,
we are able to present spectral functions within the supercon-
ducting phase across the full range of the crossover between
the FL and NFL cases.
The plan of the paper is as follows. In Sec. II, we first
study SC in a simple model of attractive Hubbard model with
random and all-to-all hopping. Then we introduce our model
in Sec. III and discuss the saddle-point equations. These equa-
tions are solved to obtain the normal state and SC solutions
in Sec. IV. Therein we discuss several observables. Finally
we conclude in Sec. V. Technical details are provided in
Appendices.
II. RANDOM MATRIX BOGOLIUBOV-DE
GENNES THEORY
Before we dive into the actual model and its detailed
analysis, let us first consider a simpler case. In this section,
we present a BCS theory of superconductivity for a Hub-
bard model with attractive on-site interaction U along with
a random and all-to-all hopping. Our main purpose here is to
introduce the formalism in a more familiar setting. Curiously,
the spectral functions in the superconducting state in this
simple model do not appear to have been obtained earlier,
although there have been results for other quantities for finite
N [20,21].
We consider a model of electrons ciα, with i = 1, . . . , N a
site index, and α = 1, . . . , M a USp(M) index. We have thus
enlarged the usual SU(2) spin symmetry. The USp(M) group,
M even, is defined by the set of M × M unitary matrices U
such that
U T J U = J ,
where
1
⎛
−1
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎝
Jαβ = J αβ =
1
−1
. . .
. . .
(1)
(2)
⎞
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎠
is the generalization of the ε tensor to M > 2. It is clear
that USp(M ) ⊂ SU(M) for M > 2, while USp(2) ∼= SU(2).
We will consider SYK-like models on N sites with USp(M )
symmetry, and take the N → ∞ limit followed by the M →
∞ limit. We don’t expect the large M limit to significantly
modify the results, as discussed in Ref. [9]; the large N limit
is more significant, and there can additional phases at finite N,
as discussed in Refs. [14,18].
We shall calculate the electron spectral density using a
set of saddle-point equations, which we derive below. We
consider an attractive Hubbard model on a random hopping
matrix with the Hamiltonian,
HtU = − 1√
N
(cid:9)
iαcα
c†
j
ti j
(cid:8)
i< j
+ c†
jαcα
i
(cid:11)
(cid:8)
(cid:10)
+
i
−μc†
iαcα
i
+ U
2M
|J αβc†
iαc†
iβ |2
(cid:12)
,
(3)
where ti j is a real random number with zero mean and root-mean-square value t, N is the number of sites, μ is the chemical
potential and U < 0 is the attractive on-site interaction. In terms of the electron annihilation (creation) operator, cα (c†
α ), the
number operator nα = c†
αcα.
We perform a disorder average to obtain the following action:
(cid:11)
(cid:14)
(cid:15)
− μ
S =
(cid:13)
(cid:8)
i
+ t 2
2N
iα (τ )
c†
⎡
dτ
(cid:13)
dτ dτ (cid:7)
⎣
∂
∂τ
(cid:18)
(cid:18)
(cid:18)
(cid:18)
(cid:18)
(cid:8)
i
iα (τ )c
c†
i (τ ) + U
cα
2M
(cid:18)
(cid:18)
(cid:18)
(cid:18)
(cid:8)
(cid:18)
(cid:18)
(cid:18)
(cid:18)
(cid:18)
(cid:18)
i (τ (cid:7))
−
β
2
i
|J αβc†
iα (τ )c†
(cid:12)
iβ (τ )|2
⎤
2
(cid:18)
(cid:18)
(cid:18)
(cid:18)
(cid:18)
iα (τ )c†
c†
iβ (τ (cid:7))
⎦,
(4)
where τ is the imaginary time. Note that we have ignored here the replica indices as they are not significant for the present
discussion. Next, we proceed by the G-(cid:7) method used for SYK models. We introduce the normal and anomalous Green’s
functions G and F , respectively, as well as the normal and anomalous self-energies (cid:7) and (cid:8), respectively. We can then write the
path integral as
(cid:13)
ZtU =
DGDF D(cid:7)D(cid:8)Dc exp(−S0 − S1),
(5)
013045-2
SUPERCONDUCTIVITY OF NON-FERMI LIQUIDS …
PHYSICAL REVIEW RESEARCH 5, 013045 (2023)
where, initially, the role of the self-energies is to impose delta functions which define the Green’s functions as two-point fermion
correlators. Let us now look at the two contributions in the action. First we have
(cid:14)
(cid:15)
(cid:22)
(cid:21)
(cid:13)
(cid:13)
iα (τ )
c†
− μ
cα
i (τ ) +
dτ dτ (cid:7)(cid:7)(τ, τ (cid:7))
(cid:8)
i (τ (cid:7)) − NMG(τ (cid:7), τ )
iα (τ )cα
c†
(cid:22)
i
iα (τ )c†
c†
iβ (τ (cid:7)) + NMF ∗(τ, τ (cid:7))
(cid:22)
ciα (τ )c
β
i (τ (cid:7)) − NMF (τ, τ (cid:7))
.
(6)
S0 =
dτ
(cid:13)
(cid:13)
+
−
(cid:8)
i
∂
∂τ
(cid:21)
dτ dτ (cid:7) (cid:8)(τ, τ (cid:7))
2
dτ dτ (cid:7) (cid:8)∗(τ, τ (cid:7))
2
J αβ
(cid:21)
Jαβ
(cid:8)
i
(cid:8)
i
For the interaction terms in (4), we need to introduce additional Hubbard-Stratonovich terms which decouple the quartic fermion
interactions, and then use the large M limit to replace these fields by their saddle-point values. This procedure has been carried
out explicitly for a related model in Ref. [22], and we do not display the intermediate steps here. Assuming the saddle-point has
USp(M) symmetry, we can obtain the final answer more directly simply by the following identifications in the interaction terms:
α (τ )cβ (τ (cid:7)) ⇒ δβ
c†
α G(τ (cid:7), τ ),
cα (τ )cβ (τ (cid:7)) ⇒ −J αβF (τ, τ (cid:7)).
In this manner, we obtain the second contribution in the action,
= U
2
dτ |F (τ, τ )|2 + t 2
2
S1
NM
(cid:13)
(cid:13)
dτ dτ (cid:7)[G(τ, τ (cid:7))G(τ (cid:7), τ ) − F (τ, τ (cid:7))F ∗(τ (cid:7), τ )].
Now we take the variational derivative of the action with respect to G and F ∗, and obtain the saddle-point equations,
(cid:7)(τ, τ (cid:7)) = t 2G(τ, τ (cid:7)), (cid:8)(τ, τ (cid:7)) = −U F (τ, τ )δ(τ − τ (cid:7)) + t 2F (τ, τ (cid:7)).
(7)
(8)
(9)
These equations have to be supplemented by the Dyson equations obtained from the single-site action for the fermions, which
follows from the first 2 spin components of the action S0,
(cid:8)
(cid:24)(cid:23)
(cid:24)
(cid:23)
Sc = T
(c†
↑(iω), c↓(−iω))
ω
−iω − μ + (cid:7)(iω)
(cid:8)∗(iω)
(cid:8)(iω)
−iω + μ − (cid:7)(−iω)
c↑(iω)
↓(−iω)
c†
,
where T is the temperature. We can now write down the combined saddle point equations:
G(cid:7) (iω) ≡
1
iω + μ − (cid:7)(iω)
,
(cid:7)(iω) = t 2G(iω) = t 2
[G(cid:7) (−iω)]−1
|(cid:8)(iω)|2 + [G(cid:7) (iω)G(cid:7) (−iω)]−1
,
(cid:11) = −U T
(cid:8)
ω
(cid:8)(iω)
|(cid:8)(iω)|2 + [G(cid:7) (iω)G(cid:7) (−iω)]−1
,
F (iω) =
(cid:8)(iω)
|(cid:8)(iω)|2 + [G(cid:7) (iω)G(cid:7) (−iω)]−1
,
(cid:8)(iω) = (cid:11) + t 2F (iω).
(10)
(11)
The normal and anomalous Green’s function in the super-
conducting state are G(iω) and F (iω) along the Matsubara
frequency axis, while G(cid:7) (iω) is an intermediate quantity de-
fined for notational convenience; G(iω) = G(cid:7) (iω) only in the
normal state where (cid:11) = F (iω) = 0.
It is useful to first solve these equations in the normal state
solution by setting (cid:11) = F (iω) = 0, which yields for μ < 2t
G(iω) ≡ G0(iω) = iω + μ
2t 2
4t 2 + (ω − iμ)2,
sgn(ω)
2t 2
(12)
where the sign in front of the square-root is discontinuous
across the real frequency axis, and is chosen so that G0(z) ∼
1/z as |z| → ∞. This yields the expected semicircle density
of states.
− i
(cid:25)
Next, we can linearize Eqs. (11) in (cid:11) at T > 0 and so
obtain the superconducting critical temperature Tc. We find
the condition
1 = −U T
(cid:8)
ωn
G0(iωn)G0(−iωn)
1 − t 2G0(iωn)G0(−iωn)
,
(13)
with ωn a Matsubara frequency. At small |ωn| we obtain from
Eq. (12) that
t 2G0(iωn)G0(−iωn) = 1 − 2|ωn|
(cid:25)
4t 2 − μ2
+ O
(cid:9)
ω2
n
(cid:10)
.
(14)
We can now observe that the denominator in Eq. (13) has a
singularity at ωn = 0, which yields the BCS log divergence.
013045-3
LI, SACHDEV, AND JOSHI
PHYSICAL REVIEW RESEARCH 5, 013045 (2023)
(a)
(c)
(b)
(d)
FIG. 1. (a) The spectral function, A(ω), of the normal Green’s function in the SC phase at a fixed (cid:11) for the particle-hole symmetric case
(μ = 0). The solid line is exact solution to the saddle point equations (11), and the yellow bars are obtained by averaging exact diagonalizations
of random instances of Eq. (3). (b) Same as (a) but μ = 5. (c) Imaginary part of the anomalous Green’s function F (ω) in the SC phase at a
fixed (cid:11) and μ = 0. (d) Same as (c) with μ = 5. In all the plots, t = 10 and (cid:11) = 5.
This implies that there is superconductivity at T = 0 for in-
finitesimal negative U .
We can analytically solve Eqs. (11) at T = 0 to linear
order in (cid:11) for general μ. Such a solution will be valid for
(cid:25)
|ω|,
4t 2 − μ2 (cid:13) (cid:11). We find
F (iω) = (cid:11) (
(cid:25)
4t 2 + (ω − iμ)2 +
(cid:25)
4t 2 + (ω + iμ)2 − 2|ω|)
4|ω|
+ O((cid:11)3),
G(iω) = G0(iω) + O((cid:11)2).
(15)
Note that F (iω) is a real and even function of ω along the
imaginary frequency axis. However, neither F nor G are ana-
lytic at ω = 0. Similarly, we can see that G(−iω) = G∗(iω),
and for μ = 0 G(iω) is purely imaginary, with G(−iω) =
−G(iω).
At μ = 0, the exact solution of the saddle-point equa-
tions in (11) is
G(iω) = − iω
2t 2
F (iω) =
(cid:11)
2t 2
(cid:23) √
ω2 + 4t 2 + (cid:11)2
√
ω2 + (cid:11)2
(cid:24)
− 1
,
(cid:23) √
ω2 + 4t 2 + (cid:11)2
√
ω2 + (cid:11)2
(cid:24)
− 1
.
Analytic continuation gives the spectral function, A(ω) ≡
− 1
π ImG(ω + iδ),
A(ω) =
√
|ω|
2πt 2
4t 2 + (cid:11)2 − ω2
√
ω2 − (cid:11)2
, (cid:11) < |ω| <
(cid:25)
(cid:11)2 + 4t 2.
(17)
The spectral function is plotted in Fig. 1(a), along with the
numerical results obtained by exact diagonalization of random
realizations of the Hamiltonian in Eq. (3). As expected, the
gap is centered at ω = 0, between (cid:11) and −(cid:11). It is also
straightforward to obtain the imaginary part of the retarded
anomalous Green’s function, which is shown in Fig. 1(c). For
μ (cid:14)= 0 an analytic solution is no longer possible, and we show
numerical results in Figs. 1(b) and 1(d).
III. MODEL
Having discussed the basic set-up we are now ready to
discuss our model. To the random Hubbard model considered
in the previous section, we will now add random and all-to-all
spin exchange and Cooper-pair hopping terms. So the full
Hamiltonian is
(16)
013045-4
H = HtU + HJ + HL,
(18)
SUPERCONDUCTIVITY OF NON-FERMI LIQUIDS …
PHYSICAL REVIEW RESEARCH 5, 013045 (2023)
(cid:9)
iαcα
c†
j
+ c†
jαcα
i
(cid:10)
(cid:8)
ti j
HtU = − 1√
N
(cid:11)
(cid:8)
−μc†
i< j
+
iαcα
+ U
2M
i
(cid:8)
|J αβc†
iαc†
iβ |2
Ji j c†
iαc
β
i c†
jβ cα
j
,
(cid:12)
,
(19)
(20)
i
HJ = 1√
(cid:8)
NM
i< j
HL = − 1
√
2
NM
Li jJ αβJγ δ
(cid:26)
iαc†
c†
iβ c
γ
j cδ
j
+ c†
jαc†
jβ c
γ
i cδ
i
(cid:27)
.
i< j
(21)
Recall that we have solved HtU in Sec. II. HJ describes the
exchange interaction of the original SY model [7], while
HL describes the random Cooper-pair hopping. In the above
Hamiltonian, Ji j are real random numbers with zero mean
value and root-mean-square value of J. Similarly, Li j can be
either real or complex random numbers with zero mean value
and root-mean-square value of L.
For clarity, let us consider the contribution of individual
terms in the Hamiltonian in Eq. (18). The first term, HtU , in
Eq. (19) was already dealt with in Sec. II. Next, let us consider
the contribution of HJ in Eq. (20) to the action of the full
Hamiltonian. After averaging over Gaussian random variable
Ji j the resulting action is
S J = − J 2
4NM
(cid:13)
(cid:18)
(cid:18)
(cid:18)
(cid:18)
(cid:18)
dτ dτ (cid:7)
i
(cid:8)
iα (τ )c
c†
β
i (τ )c†
iγ (τ (cid:7))cδ
i (τ (cid:7))
(cid:18)
(cid:18)
(cid:18)
(cid:18)
(cid:18)
2
.
(22)
In the large M limit, we can use an identity analogous to
Eq. (7),
α (τ )cβ (τ )c†
c†
γ (τ (cid:7))cδ (τ (cid:7)) ⇒ δδ
αδβ
γ G(τ, τ (cid:7))G(τ (cid:7), τ ) + J βδJαγ F ∗(τ, τ (cid:7))F (τ, τ (cid:7)).
(23)
Here we have dropped factorizations associated with equal-time Green’s functions. Then the contribution to the action from the
HJ term is SJ with
(cid:13)
SJ
NM
= − J 2
4
dτ dτ (cid:7)([G(τ, τ (cid:7))G(τ (cid:7), τ )]2 + |F (τ, τ (cid:7))F (τ (cid:7), τ )|2).
(24)
Finally, let us consider the contribution from the random Cooper-pair hopping term, HL, in Eq. (21). Averaging over real
Gaussian random variable Li j yields the action
(cid:13)
S L = − L2
8NM
dτ dτ (cid:7)J αβJ μνJγ δJρσ
(cid:23)
(cid:8)
⎡
⎣
iα (τ )c†
c†
iβ (τ )c
ρ
i (τ (cid:7))cσ
i (τ (cid:7))
(cid:24)⎛
⎝
(cid:8)
jμ(τ (cid:7))c†
c†
jν (τ (cid:7))c
γ
j (τ )cδ
j (τ )
(cid:23)
(cid:8)
+
i
iα (τ )c†
c†
iβ (τ )c†
iμ(τ (cid:7))c†
iν (τ (cid:7))
i
(cid:8)
(cid:24)⎛
⎝
j
⎞
⎤
⎠
⎦.
ρ
j (τ (cid:7))cσ
j (τ (cid:7))
γ
j (τ )cδ
j (τ )c
c
j
⎞
⎠
(25)
Note that the last term would be absent for complex Li j. Now, we use large M identities similar to Eqs. (7) and (23), again
dropping equal-time factorizations,
(cid:9)
α δρ
δσ
β (τ )cρ (τ (cid:7))cσ (τ (cid:7)) ⇒
ν (τ (cid:7)) ⇒ (JανJβμ − JαμJβν )[F ∗(τ, τ (cid:7))]2.
μ(τ (cid:7))c†
α (τ )c†
c†
α (τ )c†
c†
β (τ )c†
α δσ
β
(26)
(cid:10)
[G(τ, τ (cid:7))]2,
The contribution of the HL term to the action is SL with
β − δρ
dτ dτ (cid:7)([G(τ, τ (cid:7))G(τ (cid:7), τ )]2 + |F (τ, τ (cid:7))F (τ (cid:7), τ )|2),
(27)
SL
NM
= − L2
4
having the same form as SJ in Eq. (24).
(cid:13)
So finally, the action corresponding to the full Hamiltonian
in Eq. (18) is
S = S0 + S1 + SJ + SL,
(28)
with the terms S0 and S1 quoted in Eqs. (6) and (8), respec-
tively, while the terms SJ and SL are shown in Eqs. (24)
and (27), respectively.
Putting everything together, the final saddle-point equa-
tions for the normal and anomalous equations are
G(cid:7) (iω) ≡
1
iω + μ − (cid:7)(iω)
,
(29)
(cid:7)(τ, τ (cid:7)) = t 2G(τ, τ (cid:7)) − (J 2 + L2)G2(τ, τ (cid:7))G(τ (cid:7), τ ),
(30)
(cid:11) = −U T
G(iω) =
(cid:8)
ω
F (iω) =
,
[G(cid:7) (−iω)]−1
|(cid:8)(iω)|2 + [G(cid:7) (iω)G(cid:7) (−iω)]−1
(cid:8)(iω)
|(cid:8)(iω)|2 + [G(cid:7) (iω)G(cid:7) (−iω)]−1
(cid:8)(iω)
|(cid:8)(iω)|2 + [G(cid:7) (iω)G(cid:7) (−iω)]−1
,
(31)
,
(32)
(33)
(cid:8)(τ, τ (cid:7)) = − U F (τ, τ )δ(τ − τ (cid:7)) + t 2F (τ, τ (cid:7))
+ (J 2 + L2)F 2(τ, τ (cid:7))F ∗(τ (cid:7), τ ).
(34)
Note that Eqs. (30) and (34) generalize the expressions in
Eq. (9) upon the inclusion of the spin exchange and Cooper-
pair hopping terms.
013045-5
LI, SACHDEV, AND JOSHI
PHYSICAL REVIEW RESEARCH 5, 013045 (2023)
(a)
(b)
FIG. 2. (a) The normal-state spectral function A(ω) for different values of θ at μ = 0, and R/|U | = 2. The dashed line is the exact
semicircle solution for θ = 0, as obtained in Eq. (12). (b) Effective spin exponent as a function of θ in the normal state at R/|U | = 2. The spin
exponent takes the expected FL value for low θ , while it approaches the SYK value for larger θ.
IV. NUMERICAL SOLUTIONS
We shall now solve the saddle-point equations [Eqs. (29)–
(34)] at finite temperature and obtain the normal-state as well
as SC solutions. For simplicity and clarity, we will focus on
the μ = 0 half-filling case, but the results are qualitatively
similar for nonzero μ as we show at the end of this section.
Hence, unless otherwise stated μ = 0 throughout this section.
We introduce the notation (cid:28)J =
J 2 + L2 since the interac-
tions J and L are on equal footing in the large-M limit, as seen
from Eqs. (30) and (34). Furthermore, we will parametrize the
hopping t and interaction (cid:28)J as
√
t = R cos θ , (cid:28)J = R sin θ ,
(35)
(cid:25)
t 2 + (cid:28)J 2, and the parameter θ ∈ [0, π /2] tunes
where R =
between FL (θ = 0) and SYK-NFL (θ = π /2) limits. We will
discuss results for different relative strengths with respect to
U , i.e., different ratios R/|U |.
We solve the saddle-point equations, Eqs. (29)–(34), on the
imaginary (Matsubara) frequency axis at finite temperature.
The strategy is as follows. We first start with a free fermion
normal Green’s function, G(iωn) = (iωn + μ)−1, and a ran-
domly chosen real function F (iωn), and iterate until we find
a converged solution for the normal and anomalous Green’s
functions. The SC order parameter, (cid:11)(T ) = −U Jαβ (cid:16)cαcβ (cid:17),
is then determined as a function of temperature. It is finite
at low temperatures in the superconducting phase, and it
vanishes in the normal state at higher temperature. The su-
perconducting critical temperature Tsc is thus determined nu-
merically using (cid:11)(T → T −
sc ) → 0. We will use the notation
(cid:11)0 ≡ (cid:11)(T → 0).
In both the normal and SC phases, we also compute the
spectral function. The spectral function is obtained by nu-
merical analytic continuation of Matsubara Green’s functions
to the real frequency axis. More details regarding numerical
analytic continuation are discussed in Appendix A.
A. Normal state
The normal-state equations with (cid:11) = 0 and F = 0 are the
same as those in Refs. [23,24]. As stated earlier, in our model
we tune the parameter θ , defined in Eq. (35), to go from FL
to NFL normal states. At any given temperature T , the normal
state is FL like for θ (cid:2) θcoh and NFL-like for θ (cid:3) θcoh, where
θcoh is defined by T ∼ Tcoh = t 2/(cid:28)J = R cos θcoh cot θcoh.
In Fig. 2(a), we show the spectral function in the normal
state. For the FL-like phase (smaller θ ), we see the expected
semicircular spectral function, whereas for a NFL-like phase
(larger θ ) a pronounced peak at ω = 0 is seen. This is consis-
tent with earlier results obtained for a similar random model
in Ref. [23].
Also, note that the FL-like normal state (θ < θcoh) has the
usual T 2 dependence of resistivity, while the NFL state (θ >
θcoh) has a linear-in-T resistivity. This is similar to the results
obtained in Refs. [23,24].
The cross-over between the FL and NFL normal states
can be further characterized by looking at the effective spin
exponent (ηs), which is shown in Fig. 2(b). This exponent is
extracted from the dynamical susceptibility, χ (cid:7)(cid:7)(ω), which is
the imaginary part of the spin correlation. In Appendix B,
we discuss the details related to the evaluation of the spin
exponent ηs. Clearly, for lower values of θ the spin exponent
takes the value ηs = 2 expected for a disordered FL, while in
the limit θ → π /2, it takes the value ηs = 1 corresponding to
the marginal NFL. In the intermediate θ region ηs smoothly
interpolates between these extreme values. As expected, this
crossover is roughly around θcoh.
B. Superconducting state
Before we discuss the numerical results, we first show
analytically that SC phase exists at zero temperature for any
infinitesimal attractive on-site interaction. The analysis is sim-
ilar to that presented in Sec. II. We determine the instability to
the superconducting state by expanding the action to second
order in F (iω). This leads to the same condition for the in-
stability as Eq. (13). However, the important difference is that
the Green’s function now also contains contribution from the
exchange interaction terms and satisfies the equations:
G0(iω) =
1
iω + μ − (cid:7)el (iω) − (cid:7)in(iω)
,
(cid:7)el (iω) = t 2G0(iω),
(cid:7)in(τ ) = −(J 2 + L2)[G0(τ )]2G0(−τ ).
(36)
013045-6
SUPERCONDUCTIVITY OF NON-FERMI LIQUIDS …
PHYSICAL REVIEW RESEARCH 5, 013045 (2023)
FIG. 3. SC order parameter, (cid:11), as a function of temperature, T . (a) SYK-NFL (θ = π /2) case with varying R/|U |. Note that for larger
values of R/|U |, the phase transition becomes first order instead of a continuous transition. (b) Here R = |U | is fixed and θ is varied.
Note that we have separated the self-energy into an ‘elastic’
part (cid:7)el , and an ‘inelastic’ part (cid:7)in. This is useful because
Im (cid:7)in(ω → 0) = 0 at T = 0, and that is not true for the
elastic part.
From Eq. (36), we can write a quadratic equation for G0(0):
t 2[G0(0)]2 − (μ − (cid:7)in(0))G0 + 1 = 0.
An important point is that (cid:7)in(0) is real, and so it can be
absorbed into μ. This quadratic equation has two roots, and
they correspond to G0(i0+) and G0(i0−). From the formula
for the product of the roots of a quadratic equation, we can
therefore conclude that at T = 0,
(37)
lim
ω→0
G0(iω)G0(−iω) = 1
t 2
.
(38)
So this equation holds even when J or L are nonzero, and
the denominator in Eq. (13) vanishes. Thus indicating the
presence of SC at T = 0.
Let us now discuss the numerical results obtained by solv-
ing the saddle-point equations. For low enough temperature,
we find a SC solution with a nonzero (cid:11) and F (iω). In Fig. 3,
we have shown the variation of SC order parameter, (cid:11), with
temperature. It turns out that for small values of θ , i.e., FL-like
normal state, the SC-normal state transition is continuous.
However, at larger values of θ , the phase transition (SC to
NFL) becomes first order for larger values of R/|U | [as seen
in Fig. 3(a)]. Note that although the absolute value of (cid:11) and
Tsc depends on the value of U , the variation of (cid:11)/|U | as a
function of T /|U | depends only on the ratio R/|U |. In Fig. 4,
we show the variation of SC transition temperature (Tsc) as a
function of θ for different values of R/|U |. For very large on-
site interaction, i.e., for very small R/|U | there is no difference
between SC emerging from FL or NFL. This is because in
this case both hopping as well as exchange interaction are
subdominant. However, at larger values of the ratio R/|U |,
i.e., weaker on-site interaction the SC transition temperature
Tsc strongly depends on the nature of the normal state or θ .
It is larger for NFL-SC transition (larger θ ) as compared to
the FL-SC transition (smaller θ ). The same trend applies to
the SC order parameter in the limit of zero temperature, (cid:11)0,
and the SC gap (as obtained from the spectral function) in the
T → 0 limit, (cid:28)(cid:11)0, as seen in Fig. 5. Recall that in our model
SC phase corresponds to the condensation of doublon, i.e., the
Cooper pairs are on the same site. A single-particle hopping
tends to break these pairs and destroy SC. The exchange
interaction and Cooper-pair hopping have a very weak effect
in destruction of SC. Therefore, Tsc, (cid:11)0, and (cid:28)(cid:11)0 have very
weak dependence on θ for larger on-site interaction (smaller
R/|U |), as in this case the relative strength of hopping and
spin-exchange is unimportant. On the other hand, for weaker
on-site interaction the relative strength of hopping, t, com-
pared to (cid:28)J is important. Hence for larger θ (weaker t) SC is
more stable leading to a higher Tsc. This is also the reason
why the SC-NFL transition becomes first order in nature for
larger R/|U |.
We have also calculated the ratio 2(cid:11)0/Tsc and 2(cid:28)(cid:11)0/Tsc,
which is 3.53 for the BCS superconductivity (for FL-SC there
is no difference between (cid:11)0 and (cid:28)(cid:11)0 as discussed below). This
is shown in Figs. 5(c) and 5(d). We find that in our case,
this ratio approaches the BCS value for smaller θ (FL normal
state) and weaker on-site interaction. For SC emerging from
NFL normal state this ratio deviates strongly from the BCS
value. The value of this ratio first increases with θ as long as
the transition is continuous, and then tends to decrease as the
transition changes its nature to first order. This trend follows
from the observation that the transition temperature increases
very sharply for large values of θ and R/|U | compared to
the much gradual increase in (cid:11)0. In the FL case (smaller θ ),
both (cid:11)0 and Tsc are suppressed exponentially as a function
of R/|U | such that their ratio is a constant. However, in the
NFL case (larger θ ) this is not true anymore. Both (cid:11)0 and Tsc
appear to decrease with different power-laws with respect to
R/|U |, and in particular for larger values of θ the transition
temperature Tsc saturates quickly for large θ . This is shown
in Fig. 13 in Appendix. We have also computed the spectral
function for the SC phase. This is shown in Fig. 6. As ex-
pected, we clearly see the SC gap in the spectral function.
For θ = 0 (FL normal state), we see the expected square-root
divergence near ω = (cid:11). The form of this divergence seems to
be modified for θ away from zero. In particular, for θ = π /2
(SYK-NFL normal state), we see very narrow peaks. We also
note that the SC gap ((cid:28)(cid:11)) observed in the spectral function may
not be the same as SC order parameter (cid:11) calculated above, as
is shown in Figs. 5(a) and 5(b). The two quantities are same
013045-7
LI, SACHDEV, AND JOSHI
PHYSICAL REVIEW RESEARCH 5, 013045 (2023)
FIG. 4. (a) The SC transition temperature Tsc as a function of θ for different values of R/|U |. Qualitatively, the phase transition becomes first
order (indicated by open circles) at larger values of R/|U | and θ instead of a continuous transition (indicated by filled circles). (b) Comparison of
Tsc and Tcoh/3 = t 2/3J = (1/3)R cos θ cot θ at R/|U | = 3. For larger values of R/|U |, the transition becomes first order for θ (cid:3) θcoh. (c) Same
as (b) but R/|U | = 5.
for SC emerging from FL (smaller θ ), but may deviate from
each other for the SC emerging from a NFL phase (larger
θ ). In particular, the deviation between (cid:11) and (cid:28)(cid:11) is strongest
for larger θ and larger values of R/|U | (where the transition
is of first order). In Fig. 7(a), we show the variation of the
ratio of these two quantities in the limit of zero temperature,
FIG. 5. (a) The variation of SC order parameter in the zero temperature limit, (cid:11)0, with θ for different values of the ratio R/|U |. (b) The
SC gap observed in the spectral function in the zero temperature limit, (cid:28)(cid:11)0, as a function of θ. (c) The ratio 2(cid:11)0/Tsc. (d) The ratio 2(cid:28)(cid:11)0/Tsc. For
larger values of θ, these ratios deviate strongly away from the BCS value of 3.53. As θ → 0 and R/|U | (cid:13) 1, both 2(cid:11)0/Tsc and 2(cid:28)(cid:11)0/Tsc tend
to the BCS result.
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PHYSICAL REVIEW RESEARCH 5, 013045 (2023)
FIG. 6. The spectral functions in the superconducting phase at R = |U | for different values of θ.
i.e., (cid:28)(cid:11)0/(cid:11)0, with respect to θ and R/|U |. We do not have
an analytic expression for the gap in the spectral function,
(cid:28)(cid:11). But numerically we find that (cid:11)0 + (cid:28)(cid:11)0 (cid:18) |U | at θ = π /2,
independent of the ratio R/|U |. This relation does not hold for
other values of θ . This is shown in Fig. 7(b).
A noticeable new feature for SC emerging from NFL
(larger values of θ ) is the presence of peaks at higher energies
compared to the SC gap [see Figs. 6(c) and 6(d). In the limit
of T → 0 the first higher-order peak appears at ∼3(cid:28)(cid:11). A dom-
inant all-to-all exchange interaction (large θ ) means strongly
interacting Cooper pairs, which may be the reason for these
additional peaks. For smaller values of θ the Cooper pairs
are weakly interacting. Note that such high energy features
in the spectral function have also been reported for SYK-like
electron-phonon model for SC [15].
We have so far focused on the particle-hole symmetric
point, μ = 0, for clarity. However, it is straightforward to also
do the same analysis for a nonzero chemical potential. The re-
sults are qualitatively the same as discussed above. The main
difference seen is the particle-hole asymmetric distribution
of the spectral weights at positive and negative frequencies,
as shown in Fig. 8. The gap is however symmetric around
ω = 0. In the remainder of the paper, we again focus only
on μ = 0.
We further also compute the spin correlation in the SC
phase. In Fig. 9, we plot χ (cid:7)(cid:7)(ω) for different values of θ
in the SC phase. The features essentially follow from what
was discussed for the electron spectral function earlier. The
high-energy peak present in the electron spectral function at
larger values of θ is also seen in χ (cid:7)(cid:7)(ω).
FIG. 7. (a) In the limit of zero temperature, the ratio of the SC gap, (cid:28)(cid:11)0, (as obtained from the spectral function) and the SC order parameter,
(cid:11)0, as a function of R/|U | at θ = π /2 (blue) and as a function of θ at R/|U | = 1 (red) is shown. The two quantities are in general different
away from the FL limit and for small on-site interaction the deviation between the two quantities is strongest. (b) The sum (cid:28)(cid:11)0 and (cid:11)0 as a
function of R/|U | at θ = π /2 (blue) and as a function of θ at R/|U | = 1 (red) is shown. The sum is a constant for θ = π /2. However, this is
not the case for other values of θ .
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PHYSICAL REVIEW RESEARCH 5, 013045 (2023)
FIG. 8. The spectral functions in the superconducting phase at R = |U |, μ/|U | = 0.2 for different values of θ.
Recall that for the standard BCS superconductor one expects
a peak (often referred to as the “Hebel-Slichter” peak) around
the critical temperature as a consequence of the square-root
divergence in the spectral function [25]. However, one of
the signatures of the unconventional superconductivity is the
absence of Hebel-Slichter peak, for instance, as observed in
cuprates [26] and Fe-based superconductors [27]. We find that
for a fixed R/|U | when θ (cid:2) θcoh there is a well distinguished
Using χ (cid:7)(cid:7)(ω) we can also evaluate the temperature depen-
dence of the NMR relaxation rate, 1/T1, which we show in
Fig. 10. The NMR relaxation rate is given by the following
relation [23]:
1
T1
= T
(cid:18)
(cid:18)
(cid:18)
(cid:18)
χ (cid:7)(cid:7)(ω)
ω
.
ω=0
0.04
0.03
0.02
0.01
)
ω
(
(cid:2)
(cid:2)
χ
(39)
θ = 0
0.06
0.04
0.02
)
ω
(
(cid:2)
(cid:2)
χ
0
0
1
2
3
ω/|U |
(a)
4
5
0
0
1
0.3
0.2
0.1
)
ω
(
(cid:2)
(cid:2)
χ
θ = 3π
8
0
0
1
4
5
2
3
ω/|U |
(c)
)
ω
(
(cid:2)
(cid:2)
χ
0.8
0.6
0.4
0.2
0
0
θ = π
4
2
3
ω/|U |
(b)
4
5
θ = π
2
1
2
3
ω/|U |
(d)
4
5
FIG. 9. Plot of imaginary part of spin correlation χ (cid:7)(cid:7)(ω) in the SC phase as a function of real frequency for different values of θ at R = |U |
and T = 0.01.
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SUPERCONDUCTIVITY OF NON-FERMI LIQUIDS …
PHYSICAL REVIEW RESEARCH 5, 013045 (2023)
1
T1
1
T1
θ = 0
0.0001
0.00008
0.00006
0.00004
0.00002
0
0
0.005
0.01
T /|U |
(a)
θ = π
4
1
T1
0.0006
0.0004
0.0002
0
0
0.01
0.04
0.03
0.02
T /|U |
(b)
0.005
0.004
0.003
0.002
0.001
0
0
θ = 3π
8
0.08
0.10
0.02
0.04
0.06
T /|U |
(c)
1
T1
0.02
0.015
0.01
0.005
0
0
θ = π
2
0.15
0.20
0.05
0.10
T /|U |
(d)
FIG. 10. Temperature dependence of the NMR relaxation rate, 1/T1, for different values of θ at R = 2|U |. Note that for smaller values
of θ , where the normal state is FL-like, there is a Hebel-Slichter peak around the SC transition temperature. This can be seen in (a) around
T /|U | ∼ 0.006 and in (b) around T /|U | ∼ 0.018, which have FL normal state. Note that the peak height diminishes as we increase θ and go
closer to NFL case. The Hebel-Slichter peak is absent (and replaced by a kink) in case of NFL normal state, shown in (c) and (d).
Hebel-Slichter peak whose strength diminishes with increas-
ing θ [see Figs. 10(a) and 10(b)]. After the crossover into
the NFL regime for larger θ the peak is absent and there is
only a kink around the critical temperature [see Figs. 10(c)
and 10(d)]. This is another distinguishing feature between
the FL and NFL cases. We also see that the relaxation rate
is higher for the NFL case compared to the FL case. In the
normal state this trend easily follows from the fact that the
critical temperature is much higher in the NFL case. Also note
that the height of the Hebel-Slichter peak present for smaller
θ is roughly inversely proportional to R/|U |, i.e., for smaller
Hubbard interaction the peak is smaller.
V. DISCUSSION
We have investigated the emergence of SC in a SYK-like
model of interacting electrons, Eq. (18). The model is solved
in the large-M limit, where we generalize the spin symmetry
from SU(2) to SU(M ). The solution of the large-M saddle-
point equations can be viewed as a dynamical mean-field
solution. We have shown the contrast between the emergence
of SC from a NFL as opposed to a FL normal state. Several
distinguishing features are found for SC emerging from a NFL
and we summarize below the salient features of our work.
(1) Even in the presence of all-to-all and random exchange
interaction and Cooper-pair hopping, we show that BCS-
type superconducting instability is present, thus ensuring SC
ground state at zero temperature for any infinitesimal attrac-
tive Hubbard interaction.
(2) The SC transition temperature Tsc is shown to be
strongly enhanced for NFL normal state as compared to
a FL normal state. This is an important highlight of our
results. This is understood physically by realizing that the
most dominant mechanism to break Cooper pairs is single-
particle hopping. However, for the NFL case, the Cooper pairs
are strongly interacting, and single-particle hopping is sub-
dominant, thus leading to a higher Tsc. This also renders the
transition in case of NFL to be first order for weaker Hubbard
interaction.
(3) While for the FL (BCS-like) case both Tsc and (cid:11) are
exponentially suppressed with respect to R/|U |, we show that
for NFL case they decay with different power-laws. Conse-
quently, the ratio 2(cid:11)/Tsc strongly deviates from the BCS value
for SC arising from NFL.
(4) We have presented a detailed study of the local electron
spectral function in the SC as well as the normal states (FL
and NFL). This is an observable in photoemission experi-
ments like ARPES. We discuss how the SC gap closes upon
approaching Tsc. In the case of a FL normal state, the transi-
tion is continuous and BCS like, and the spectral function in
SC phase features the well-known square-root divergence at
ω = (cid:11). We show that this is not the case when the normal
state is a NFL.
(5) We show that for SC emerging from a NFL there is a
distinct new feature in the local electron spectral function—
peaks at higher energy at ω ∼ 3(cid:11). This is a consequence of
strong interactions between Cooper pairs (which is absent in
case of FL normal state). We believe that this is a generic
feature of SC emerging from a NFL, and could be a relevant
observation in many materials. How generic and model in-
dependent is this feature is an interesting open question for
future.
(6) In the normal state, as a function of the parameter θ ,
there is a crossover between FL and NFL phase for a fixed
013045-11
LI, SACHDEV, AND JOSHI
PHYSICAL REVIEW RESEARCH 5, 013045 (2023)
0.04
0.03
0.02
0.01
)
ω
(
(cid:2)
(cid:2)
χ
θ = 0
θ = 0.11π
θ = 0.22π
θ = 0.33π
θ = 0.44π
0.04
0.03
0.02
0.01
)
ω
(
(cid:2)
(cid:2)
χ
T /|U | = 0.13
T /|U | = 0.135
T /|U | = 0.14
T /|U | = 0.145
T /|U | = 0.15
0
0
1
2
3
4
ω/|U |
(a)
5
6
7
8
0
0
1
2
3
5
6
7
8
4
ω/|U |
(b)
FIG. 11. (a) Plot of χ (cid:7)(cid:7)(ω) for different values of θ at a fixed temperature T /|U | = 0.13 in the normal state. (b) Plot of χ (cid:7)(cid:7)(ω) for different
values of temperature at a fixed value of θ = 0.388π . In both the plots, R/|U | = 2.
temperature, which we characterize using the effective local
spin correlation exponent, ηS. The exponent deviates from FL
value for θ (cid:3) θcoh. We hope that our work motivates the ob-
servation of this exponent in neutron scattering experiments.
(7) We also note that NFL phase, i.e., the normal state
for θ > θcoh has a linear-in-temperature resistivity. Thus SC
emerging from this state may have some relevance to the
situation in correlated systems.
(8) We have evaluated the local dynamic structure factor,
χ (cid:7)(cid:7)(ω), an observable in neutron scattering experiments. In the
SC phase emerging from NFL, χ (cid:7)(cid:7)(ω) shows distinct peaks at
high energies akin to that discussed for the spectral function.
(9) Further we have also calculated the NMR relaxation
rate, 1/T1, as a function of temperature. Here we show that
for FL normal state there is a Hebel-Slichter peak near Tsc,
which is a hallmark of BCS SC. However, for NFL case, this
peak disappears and the transition temperature is marked by a
kink. Such observations have been reported in experiments on
unconventional SC in cuprates and pnictides. Our work clearly
shows the mechanism for the disappearance of the Hebel-
Slichter peak in the case of a NFL normal state. This may be of
general relevance to the NMR experiments in unconventional
SC materials.
We believe that our work will further motivate and pro-
vide a pathway to investigate SC emerging from NFL. Our
work also motivates numerical investigation of the model in
Eq. (18) at M = 2 to further elucidate the SC-NFL phase
transition. We hope that our work may also provide a good
starting point for constructing more realistic lattice models.
While this work was being completed, we learnt of the
study Ref. [18] of essentially the same model, but with a focus
on the finite N behavior.
ACKNOWLEDGMENTS
We thank G. Tarnopolsky for valuable discussions. This
research was supported by the National Science Foundation
under Grant No. DMR-2002850. This work was also sup-
ported by the Simons Collaboration on Ultra-Quantum Matter,
which is a grant from the Simons Foundation (651440, S.S.).
D.G.J. acknowledges support from the Leopoldina fellowship
by the German National Academy of Sciences through Grant
No. LPDS 2020-01.
APPENDIX A: NUMERICAL ANALYTIC CONTINUATION
We also perform numerical analytic continuation to real
frequency. In general, performing analytic continuation is an
ill-posed problem if the function on the imaginary axis is
known only at a finite number of points. There are several
techniques to do analytic continuation. However, for simplic-
ity, we use the Pade approximation method. This technique
parametrizes the function on imaginary axis as a ratio of two
polynomials or by terminating a continued fraction. There
are several ways for implementing Pade approximation. We
adopt the simple strategy outlined in Ref. [28] of evaluating
the coefficients of the two polynomials recursively, which is
based on Thiele’s reciprocal difference method. Details of the
algorithm can be found in the Appendix of Ref. [28]. Briefly,
we first solve the saddle-point equations on the imaginary-
frequency axis to obtain the required Green’s function, say
G(iω), at non-negative Matsubara frequencies. The number of
Matsubara frequencies used in our calculation is 105. Then we
evaluate the required polynomials, An(z) and Bn(z), to approx-
imate the imaginary-frequency function, G(z) = An(z)/Bn(z).
The accuracy of these polynomials depends on the number
of Pade points, n, and in our calculation we find that n =
200 points are sufficient to obtain accurate results. We have
checked our results by increasing or decreasing n and it does
not result in any significant improvement. The resulting ra-
tio of polynomials then corresponds to the retarded Green’s
function on real-frequency axis, once we identify z = ω +
−4
−5
−6
−7
)
0
ω
/
)
0
ω
(
(cid:2)
(cid:2)
χ
(
g
o
l
θ = 0
θ = 0.055π
θ = 0.111π
θ = 0.166π
θ = 0.222π
θ = 0.277π
θ = 0.333π
θ = 0.388π
θ = 0.444π
θ = 0.50π
fit
0.25
0.30
0.35
0.40
log(T )
FIG. 12. Plot of ln(χ (cid:7)(cid:7)(ω0)/ω0) vs ln(T ) at ω0 = 0.2, R/|U | = 2,
and in the temperature range between T /|U | = 0.13 and T /|U | =
0.15, for different values of θ. The slope of the linear fit (black
dashed lines) gives ηs − 2, from Eq. (B3). This is used to plot the
curve of ηs as a function of θ in Fig. 2(b).
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PHYSICAL REVIEW RESEARCH 5, 013045 (2023)
FIG. 13. Plots of transition temperature Tsc, the SC order parameter (cid:11)0 and the SC gap (cid:28)(cid:11)0 vs R for different values of θ. Note that for
smaller values of θ when the normal state is FL-like, there is an exponential decay with respect to R/|U |. In contrast, in the case of NFL normal
state these are replaced by different power laws.
i0+. Imaginary part of this function then gives the spectral
function.
APPENDIX B: EFFECTIVE SPIN EXPONENT
In this Appendix, we discuss the evaluation of the effec-
tive spin exponent (ηs) in the normal state. To start with,
we first evaluate the spin correlation, χ (τ ) = (cid:16)(cid:19)S(τ ) · (cid:19)S(0)(cid:17) ∼
−G(τ )G(−τ ), which is straightforward to obtain from the
imaginary frequency numerics. We then Fourier transform to
obtain χ (iω), and then perform numerical analytic continu-
ation to obtain χ (ω) whose imaginary part is the dynamical
susceptibility, χ (cid:7)(cid:7)(ω). This is shown in Fig. 11 for the normal
state and in Fig. 9 in the SC phase.
At temperature above the SC transition temperature, the
normal state solution is one of the SYK-type conformal so-
lutions at low energy (ω (cid:20) ˜J). For such a solution, the spin
susceptibility follows the scaling relation [23,29,30],
χ (cid:7)(cid:7)(ω) ∼ T ηs−1(cid:8)ηs
(cid:14)
(cid:15)
,
¯hω
kBT
where
(cid:8)ηs (y) = sinh
(cid:29)
(cid:30)(cid:18)
(cid:18)
(cid:18)(cid:20)
(cid:29) ηs
2
y
2
+ i
y
2π
(cid:30)(cid:18)
(cid:18)
(cid:18)
2
.
For ¯hω (cid:20) kBT , we have
χ (cid:7)(cid:7)(ω) ∼ ω T ηs−2,
(B1)
(B2)
(B3)
while in the limit of ¯hω (cid:13) kBT , the result is similar to the zero
temperature form, χ (cid:7)(cid:7)(ω) ∼ sgn (ω)|ω|ηs−1.
We can thus use Eq. (B3) to extract the effective spin
exponent (ηs) from the slope of plot of ln(χ (cid:7)(cid:7)(ω0)/ω0) versus
ln(T ), where ω0 is a fixed small frequency. In Fig. 12, we
present the data for such a procedure for R/|U | = 2 in the
temperature range of T /|U | = 0.13 and T /|U | = 0.15, with
ω0 = 0.2. We have also checked our results for two other
small frequency points, and the results are unchanged. The
resulting ηs as a function of θ is plotted in Fig. 2(b). Similar
procedure can be done at other values of R/|U |. This works
well for larger values of R/|U |. At smaller values of R/|U |, the
transition temperature is relatively high, where our numerical
analytic continuation is not very reliable, and so extracting ηs
there is difficult.
APPENDIX C: ADDITIONAL PLOTS FOR Tsc AND (cid:2)
As noted earlier in the main text,
the SC transition
temperature (Tsc) and the SC order parameter ((cid:11)0) decay
exponentially with R/|U | in the case of SC emerging from FL
normal state. This results in the expected BCS value for the
ratio of Tsc and (cid:11)0. However, we observe that in the case when
SC emerges from a NFL normal state the transition tempera-
ture and the order parameter decay with different power-laws
with respect to R/|U |. This is shown in Fig. 13. Deducing
these power-laws analytically is an interesting problem for
future work. The consequence of these power-law decay in
place of an exponential is that the ratio of Tsc and (cid:11)0 is no
longer a constant.
[1] S.-S. Zhang, Y.-M. Wu, A. Abanov, and A. V. Chubukov, In-
terplay between superconductivity and non-Fermi liquid at a
quantum critical point in a metal. VI. The γ model and its phase
diagram at 2 < γ < 3, Phys. Rev. B 104, 144509 (2021).
[2] D. Pimenov and A. V. Chubukov, Twists and turns of super-
conductivity from a repulsive dynamical interaction, Ann. Phys.
447, 169049 (2022).
[3] C. Bauer, Y. Schattner, S. Trebst, and E. Berg, Hierarchy of
energy scales in an O(3) symmetric antiferromagnetic quantum
critical metal: A Monte Carlo study, Phys. Rev. Res. 2, 023008
(2020).
[4] M. A. Metlitski, D. F. Mross, S. Sachdev, and T. Senthil,
Cooper pairing in non-Fermi liquids, Phys. Rev. B 91, 115111
(2015).
013045-13
LI, SACHDEV, AND JOSHI
PHYSICAL REVIEW RESEARCH 5, 013045 (2023)
[5] I. Mandal, Superconducting instability in non-Fermi liquids,
Phys. Rev. B 94, 115138 (2016).
[6] I. Esterlis, H. Guo, A. A. Patel, and S. Sachdev, Large N
theory of critical Fermi surfaces, Phys. Rev. B 103, 235129
(2021).
[7] S. Sachdev and J. Ye, Gapless Spin-Fluid Ground State in a
Random Quantum Heisenberg Magnet, Phys. Rev. Lett. 70,
3339 (1993).
[8] A. Y. Kitaev, Talks at KITP, University of California, Santa
Barbara, Entanglement in Strongly-Correlated Quantum Matter
(2015).
[9] D. Chowdhury, A. Georges, O. Parcollet, and S. Sachdev,
Sachdev-Ye-Kitaev models and beyond: A window into non-
fermi liquids, Rev. Modern Phys. 94, 035004 (2022).
[10] C. Li, D. G. Joshi, and S. Sachdev, Critical anomalous met-
als near superconductivity in models with random interactions,
Phys. Rev. B 103, 115147 (2021).
[11] I. R. Klebanov, A. Milekhin, G. Tarnopolsky, and W. Zhao,
Spontaneous breaking of U(1) symmetry in coupled complex
SYK models, J. High Energy Phys. 11 (2020) 162.
[12] É. Lantagne-Hurtubise, V. Pathak, S. Sahoo, and M. Franz,
Superconducting instabilities in a spinful Sachdev-Ye-Kitaev
model, Phys. Rev. B 104, L020509 (2021).
[13] Y. Wang, Solvable Strong-Coupling Quantum-Dot Model with
a Non-Fermi-Liquid Pairing Transition, Phys. Rev. Lett. 124,
017002 (2020).
[14] H. Wang, A. L. Chudnovskiy, A. Gorsky, and A. Kamenev,
Sachdev-Ye-Kitaev superconductivity: Quantum Kuramoto and
generalized Richardson models, Phys. Rev. Res. 2, 033025
(2020).
[15] I. Esterlis and J. Schmalian, Cooper pairing of incoherent elec-
trons: An electron-phonon version of the Sachdev-Ye-Kitaev
model, Phys. Rev. B 100, 115132 (2019).
[16] A. A. Patel, M. J. Lawler, and E.-A. Kim, Coherent Supercon-
ductivity with a Large Gap Ratio from Incoherent Metals, Phys.
Rev. Lett. 121, 187001 (2018).
[17] D. Chowdhury and E. Berg, Intrinsic superconducting instabili-
ties of a solvable model for an incoherent metal, Phys. Rev. Res.
2, 013301 (2020).
[18] A. L. Chudnovskiy and A. Kamenev, Superconductor–insulator
transition in a non-fermi liquid, arXiv:2207.12307.
[19] S. Sahoo, É. Lantagne-Hurtubise, S. Plugge, and M. Franz,
Traversable wormhole and Hawking-Page transition in cou-
pled complex SYK models, Phys. Rev. Res. 2, 043049
(2020).
[20] E. A. Yuzbashyan, A. A. Baytin, and B. L. Altshuler, Strong-
coupling expansion for the pairing Hamiltonian for small
superconducting metallic grains, Phys. Rev. B 68, 214509
(2003).
[21] E. A. Yuzbashyan, A. A. Baytin, and B. L. Altshuler, Finite-
size corrections for the pairing Hamiltonian, Phys. Rev. B 71,
094505 (2005).
[22] M. Christos, F. M. Haehl, and S. Sachdev, Spin liquid to spin
glass crossover in the random quantum Heisenberg magnet,
Phys. Rev. B 105, 085120 (2022).
[23] O. Parcollet and A. Georges, Non-Fermi-liquid regime
insulator, Phys. Rev. B 59, 5341
a doped Mott
of
(1999).
[24] X.-Y. Song, C.-M. Jian, and L. Balents, Strongly Correlated
Metal Built from Sachdev-Ye-Kitaev Models, Phys. Rev. Lett.
119, 216601 (2017).
[25] L. C. Hebel and C. P. Slichter, Nuclear spin relaxation in
normal and superconducting aluminum, Phys. Rev. 113, 1504
(1959).
[26] M. Takigawa, A. P. Reyes, P. C. Hammel, J. D. Thompson, R. H.
Heffner, Z. Fisk, and K. C. Ott, Cu and O NMR studies of the
magnetic properties of YBa2Cu3O6.63 (tc = 62 k), Phys. Rev. B
43, 247 (1991).
[27] H. Fukazawa, Y. Yamada, K. Kondo, T. Saito, Y. Kohori, K.
Kuga, Y. Matsumoto, S. Nakatsuji, H. Kito, P. M. Shirage, K.
Kihou, N. Takeshita, C.-H. Lee, A. Iyo, and H. Eisaki, Possi-
ble multiple gap superconductivity with line nodes in heavily
hole-doped superconductor KFe2As2 studied by 75As nuclear
quadrupole resonance and specific heat, J. Phys. Soc. Jpn. 78,
083712 (2009).
[28] H. J. Vidberg and J. W. Serene, Solving the eliashberg equations
by means ofn-point padé approximants, J. Low Temp. Phys. 29,
179 (1977).
[29] S. Sachdev, T. Senthil, and R. Shankar, Finite-temperature
properties of quantum antiferromagnets in a uniform mag-
netic field in one and two dimensions, Phys. Rev. B 50, 258
(1994).
[30] O. Parcollet, A. Georges, G. Kotliar, and A. Sengupta,
Overscreened multichannel SU(N) Kondo model: Large-N so-
lution and conformal field theory, Phys. Rev. B 58, 3794
(1998).
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Data Availability Statement: Data sharing is not applicable to this article as no datasets were
generated or analyzed during the current study.
|
Data Availability Statement: Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.
|
Article
Speed of Convergence of Time Euler Schemes for a Stochastic
2D Boussinesq Model
Hakima Bessaih 1 and Annie Millet 2,3,*
1 Mathematics and Statistics Department, Florida International University, 11200 SW 8th Street,
2
3
Miami, FL 33199, USA
Statistique, Analyse et Modélisation Multidisciplinaire, EA 4543, Université Paris 1 Panthéon Sorbonne,
Centre Pierre Mendès France, 90 Rue de Tolbiac, CEDEX, 75634 Paris, France
Laboratoire de Probabilités, Statistique et Modélisation, UMR 8001, Universités Paris 6-Paris 7, Place Aurélie
Nemours, 75013 Paris, France
* Correspondence: amillet@univ-paris1.fr
Abstract: We prove that an implicit time Euler scheme for the 2D Boussinesq model on the torus D
converges. The various moments of the W1,2-norms of the velocity and temperature, as well as their
discretizations, were computed. We obtained the optimal speed of convergence in probability, and a
logarithmic speed of convergence in L2(Ω). These results were deduced from a time regularity of the
solution both in L2(D) and W1,2(D), and from an L2(Ω) convergence restricted to a subset where the
W1,2-norms of the solutions are bounded.
Keywords: Boussinesq model; implicit time Euler schemes; convergence in probability; strong
convergence
MSC: Primary 60H15; 60H35; 65M12; Secondary 76D03; 76M35
1. Introduction
The Boussinesq equations have been used as a model in many geophysical applications.
They have been widely studied in both deterministic and stochastic settings. We take
random forces into account and formulate the Bénard convection problem as a system of
stochastic partial differential equations (SPDEs). The need to take stochastic effects into
account for modeling complex systems has now become widely recognized. Stochastic
partial differential equations (SPDEs) arise naturally as mathematical models for nonlinear
macroscopic dynamics under random influences. The Navier–Stokes equations are coupled
with a transport equation for the temperature and with diffusion. The system is subjected
to a multiplicative random perturbation, which will be defined later. Here, u describes the
fluid velocity field, whereas θ describes the temperature of the buoyancy-driven fluid, and
π is the fluid’s pressure.
We study the multiplicative stochastic Boussinesq equations
∂tu − ν∆u + (u · ∇)u + ∇π = θ + G(u) dW in
∂tθ − κ∆θ + (u · ∇θ) = ˜G(θ) d ˜W in
(0, T) × D,
(0, T) × D,
(1)
(2)
div u = 0
in
(0, T) × D,
where T > 0. The processes u : Ω × (0, T) × D → R2 and θ : Ω × (0, T) × D → R have
initial conditions u0 and θ0 in D, respectively. The parameter ν > 0 denotes the kinematic
viscosity of the fluid, and κ > 0 denotes its thermal diffusivity. These fields satisfy periodic
boundary conditions u(t, x + Lvi) = u(t, x), θ(t, x + Lvi) = θ(t, x) on (0, T) × ∂D, where
vi, i = 1, 2 denotes the canonical basis of R2, and π : Ω × (0, T) × D → R is the pressure.
Citation: Bessaih, H.; Millet, A.
Speed of Convergence of Time Euler
Schemes for a Stochastic 2D
Boussinesq Model. Mathematics 2022,
10, 4246. https://doi.org/10.3390/
math10224246
Academic Editors: Vicente Martínez
and Pablo Gregori
Received: 12 October 2022
Accepted: 8 November 2022
Published: 13 November 2022
Publisher’s Note: MDPI stays neutral
with regard to jurisdictional claims in
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Copyright: © 2022 by the authors.
Licensee MDPI, Basel, Switzerland.
This article is an open access article
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Attribution (CC BY) license (https://
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4.0/).
Mathematics 2022, 10, 4246. https://doi.org/10.3390/math10224246
https://www.mdpi.com/journal/mathematics
mathematicsMathematics 2022, 10, 4246
2 of 39
In dimension 2 without any stochastic perturbation, this system has been extensively
studied with a complete picture about its well-posedness and long-time behavior. In the
deterministic setting, more investigations have been extended to the cases where ν = 0
and/or κ = 0, with some partial results.
If the (L2)2 (resp., L2) norms of u0 and θ0 are square integrable, it is known that the
random system (1)–(2) is well-posed, and that there exists a unique solution (u × θ) in
C([0, T]; (L2)2 × L2) ∩ L2(Ω; (H1)2 × H1); see, e.g., [1,2].
Numerical schemes and algorithms have been introduced to best approximate the
solution to non-linear PDEs. The time approximation is either an implicit Euler or a time-
splitting scheme coupled with a Galerkin approximation or finite elements to approximate
the space variable. The literature on numerical analysis for SPDEs is now very extensive.
In many papers, the models are either linear, have global Lipschitz properties, or, more
generally, have some monotonicity property. In this case, the convergence was proven to
be in mean square. When nonlinearities are involved that are not of Lipschitz or monotone
type, then a rate of convergence in mean square is more difficult to obtain. Indeed, because
of the stochastic perturbation, one may not use the Gronwall lemma after taking the
expectation of the error bound, since it involves a nonlinear term that is often quadratic;
such a nonlinearity requires some localization.
In a random setting, the discretization of the Navier–Stokes equations on the torus has
been intensively investigated. Various space–time numerical schemes have been studied
for the stochastic Navier–Stokes equations with a multiplicative or an additive noise, where,
in the right hand side of (1) (with no θ), we have either G(u) dW or dW. We refer to [3–7],
where the convergence in probability is stated with various rates of convergence in a
multiplicative setting for a time implicit Euler scheme, and [8] for a time splitting scheme.
As stated previously, the main tool used to obtain the convergence in probability is the
localization of the nonlinear term over a space of large probability. We studied the strong
(that is, L2(Ω)) rate of convergence of the time-implicit Euler scheme (resp., space–time-
implicit Euler scheme coupled with finite element space discretization) in our previous
papers [9] (resp., [10]) for an H1-valued initial condition. The method is based on the fact
that the solution (and the scheme) have finite moments (bounded uniformly on the mesh).
For a general multiplicative noise, the rate is logarithmic. When the diffusion coefficient is
bounded (which is a slight extension of an additive noise), the supremum of the H1-norm of
the solution has exponential moments; we used this property in [9,10] to obtain an explicit
polynomial strong rate of convergence. However, this rate depends on the viscosity and
the strength of the noise, and is strictly less than 1/2 for the time parameter (resp., less
than 1 for the spatial one). For a given viscosity, the time rates on convergence increase to
1/2 when the strength of the noise converges to 0. For an additive noise, if the strength
of the noise is not too large, the strong (L2(Ω)) rate of convergence in time is the optimal
one, and is almost 1/2 (see [11]). Once more, this is based on exponential moments of the
supremum of the H1-norm of the solution (and of its scheme for the space discretization);
this enabled us to have strong polynomial time rates.
In the current paper, we study the time approximation of the Boussinesq Equations (1)
and (2) in a multiplicative setting. To the best of our knowledge, it is the first result where a
time-numerical scheme is implemented for a more general hydrodynamical model with a
multiplicative noise. We use a fully implicit time Euler scheme and once more assume that
the initial conditions u0 and θ0 belong to H1(D) in order to prove a rate of convergence
in L2(D) uniformly in time. We prove the existence of finite moments of the H1-norms of
the velocity and the temperature uniformly in time. Since we are on the torus, this is quite
easy for the velocity. However, for the temperature, due to the presence of the velocity in
the bilinear term, the argument is more involved and has to be carried out in two steps. It
requires higher moments on the H1-norm of the initial condition. The time regularity of
the solutions u, θ is the same as that of u in the Navier–Stokes equations. We then study
rates of convergence in probability and in L2(Ω). The rate of convergence in probability is
optimal (almost 1/2); we have to impose higher moments on the initial conditions than
Mathematics 2022, 10, 4246
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what is needed for the velocity described by stochastic Navier–Stokes equations. Once
more, we first obtain an L2(Ω) convergence on a set where we bound the L2 norm of
the gradients of both the velocity and the temperature. We deduce an optimal rate of
convergence in probability that is strictly less than 1/2. When the H1-norm of the initial
condition has all moments (for example, it is a Gaussian H1-valued random variable), the
rate of convergence in L2(Ω) is any negative exponent of the logarithm of the number of
time steps. These results extend those established for the Navier–Stokes equations subject
to a multiplicative stochastic perturbation.
The paper is organized as follows.
In Section 2, we describe the model and the
assumptions on the noise and the diffusion coefficients, and describe the fully implicit time
Euler scheme. In Section 3, we state the global well-posedeness of the solution to (1)–(2),
moment estimates of the gradient of u and θ uniformly in time and the existence of the
scheme. We then formulate the main results of the paper about the rates of the convergence
in probability and in L2(Ω) of the scheme to the solution. In Section 4, we prove moment
estimates in H1 of u and θ uniformly on the time interval [0, T] if we start with more regular
(H1) initial conditions. This is essential in order to be able to deduce a rate of convergence
from the localized result. Section 5 states the time regularity results of the solution (u, θ)
both in L2(D) and H1(D); this a crucial ingredient of the final results. In Section 6, we
prove that the time Euler scheme is well-defined and prove its moment estimates in L2
and H1. Section 7 deals with the localized convergence of the scheme in L2(Ω). This
preliminary step is necessary due to the bilinear term, which requires some control of the
H1 norm of u and θ. In Section 8, we prove the rate of convergence in probability and in
L2(Ω). Finally, Section 9 summarizes the interest of the model and describes some further
necessary/possible extensions of this work.
As usual, except if specified otherwise, C denotes a positive constant that may change
throughout the paper, and C(a) denotes a positive constant depending on some parameter a.
2. Preliminaries and Assumptions
In this section, we describe the functional framework, the driving noise, the evolution
equations, and the fully implicit time Euler scheme.
2.1. The Functional Framework
Let D = [0, L]2 with periodic boundary conditions Lp := Lp(D)2 (resp., Wk,p :=
Wk,p(D)2) be the usual Lebesgue and Sobolev spaces of vector-valued functions endowed
with the norms (cid:107) · (cid:107)Lp (resp., (cid:107) · (cid:107)Wk,p ).
Let V0 := {u ∈ L2 : div(u) = 0 on D}. Let Π : L2 → V0 denote the Leray projection,
and let A = −Π∆ denote the Stokes operator, with domain Dom(A) = W2,2 ∩ V0.
Let ˜A = −∆ acting on L2(D). For any non-negative real number k, let
Hk = Dom(cid:0) ˜A
k
2 (cid:1), Vk = Dom(cid:0)A
k
2 (cid:1), endowed with the norms (cid:107) · (cid:107)Hk and (cid:107) · (cid:107)Vk .
Thus, H0 = L2(D) and Hk = Wk,2. Moreover, let V−1 be the dual space of V1 with respect
to the pivot space V0, and (cid:104)·, ·(cid:105) denote the duality between V1 and V−1.
Let b : (V1)3 → R denote the trilinear map defined by
b(u1, u2, u3) :=
(cid:90)
D
(cid:0)(cid:2)u1(x) · ∇(cid:3)u2(x)(cid:1) · u3(x) dx.
The incompressibility condition implies that b(u1, u2, u3) = −b(u1, u3, u2) for ui ∈ V1,
i = 1, 2, 3. There exists a continuous bilinear map B : V1 × V1 (cid:55)→ V−1 such that
(cid:104)B(u1, u2), u3(cid:105) = b(u1, u2, u3),
for all ui ∈ V1, i = 1, 2, 3.
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Therefore, the map B satisfies the following antisymmetry relations:
(cid:104)B(u1, u2), u3(cid:105) = −(cid:104)B(u1, u3), u2(cid:105),
For u, v ∈ V1, we have B(u, v) := Π(cid:0)(cid:2)u · ∇(cid:3)v(cid:1).
Furthermore, since D = [0, L]2 with periodic boundary conditions, we have (see e.g., [12])
(cid:104)B(u1, u2), u2(cid:105) = 0
for all
(3)
ui ∈ V1.
(cid:104)B(u, u), Au(cid:105) = 0,
∀u ∈ V2.
Note that, for u ∈ V1 and θ1, θ2 ∈ H1, if (u.∇)θ = ∑i=1,2 ui∂iθ, we have
(cid:104)[u.∇]θ1 , θ2(cid:105) = −(cid:104)[u.∇]θ2 , θ1(cid:105),
(4)
(5)
so that (cid:104)[u.∇]θ , θ(cid:105) = 0 for u ∈ V1 and θ ∈ H1.
In dimension 2, the inclusions H1 ⊂ Lp and V1 ⊂ Lp for p ∈ [2, ∞) follow from the
Sobolev embedding theorem. More precisely, the following Gagliardo–Nirenberg inequality
is true for some constant ¯Cp:
(cid:107)u(cid:107)Lp ≤ ¯Cp (cid:107)A
1
2 u(cid:107)α
L2 (cid:107)u(cid:107)1−α
L2
for α = 1 −
2
p
,
∀u ∈ V1.
(6)
Finally, let us recall the following estimate of the bilinear terms (u.∇)v and (u.∇)θ.
Lemma 1. Let α, ρ be positive numbers and δ ∈ [0, 1) be such that δ + ρ > 1
Let u ∈ Vα, v ∈ Vρ and θ ∈ Hρ; then,
2 and α + δ + ρ ≥ 1.
(cid:107)A−δΠ[(u.∇)v](cid:107)V0 ≤ C(cid:107)Aαu(cid:107)V0 (cid:107)Aρv(cid:107)V0,
(cid:107) ˜A−δ[(u.∇)θ](cid:107)H0 ≤ C(cid:107)Aαu(cid:107)V0 (cid:107) ˜Aρθ(cid:107)H0,
(7)
(8)
for some positive constant C := C(α, δ, ρ).
Proof. The upper estimate (7) is Lemma 2.2 in [13]. The argument, which is based on the
Sobolev embedding theorem and Hölder’s inequality, clearly proves (8).
2.2. The Stochastic Perturbation
Let K (resp., ˜K) be a Hilbert space and let (W(t), t ≥ 0) (resp., ( ˜W(t), t ≥ 0) ) be
a K-valued (resp., ˜K-valued) Brownian motion with covariance Q (resp., ˜Q), which is a
trace-class operator of K (resp., ˜K) such that Qζ j = qjζ j (resp., ˜Q ˜ζ j = ˜qj ˜ζ j), where {ζ j}j≥0
(resp., { ˜ζ j}j≥0) is a complete orthonormal system of K (resp., ˜K), qj, ˜qj > 0, and Tr(Q) =
∑j≥0 qj < ∞ (resp., Tr( ˜Q) = ∑j≥0 ˜qj < ∞). Let {βj}j≥0 (resp., { ˜βj}j≥0) be a sequence of
independent one-dimensional Brownian motions on the same filtered probability space
(Ω, F , (Ft, t ≥ 0), P). Then,
W(t) = ∑
j≥0
(cid:112)qj βj(t) ζ j,
˜W(t) = ∑
j≥0
(cid:113)
˜qj ˜βj ˜ζ j.
For details concerning these Wiener processes, we refer to [14].
Projecting the velocity on divergence-free fields, we consider the following SPDEs for
processes modeling the velocity u(t) and the temperature θ(t). The initial conditions u0
and θ0 are F0-measurable, taking values in V0 and H0, respectively, and
∂tu(t) + (cid:2)ν Au(t) + B(u(t), u(t))(cid:3)dt = Π(θ(t)v2) + G(u(t)) dW(t),
∂tθ(t) + (cid:2)κ ˜Aθ(t) + (u(t).∇)θ(t)(cid:3)dt = ˜G(θ(t)) d ˜W(t),
(9)
(10)
where ν, κ are strictly positive constants, and v2 = (0, 1) ∈ R2.
Mathematics 2022, 10, 4246
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We make the following classical linear growth and Lipschitz assumptions on the
diffusion coefficients G and ˜G. For technical reasons, we will have to require u0 ∈ V1 and
θ ∈ H1 and prove estimates similar to (19) and (20), raising the space regularity of the
processes by one step in the scale of Sobolev spaces. Therefore, we have to strengthen the
regularity of the diffusion coefficients.
Condition (C-u) (i) Let G : V0 → L(K; V0) be such that
(cid:107)G(u)(cid:107)2
L(K,V0) ≤ K0 + K1(cid:107)u(cid:107)2
L(K,V0) ≤ L1(cid:107)u1 − u2|2
V0 ,
V0,
∀u ∈ V0,
∀u1, u2 ∈ V0.
(cid:107)G(u1) − G(u2)(cid:107)2
(ii) Let also G : V1 → L(K; V1) satisfy the growth condition
(cid:107)G(u)(cid:107)2
L(K;V1) ≤ K2 + K3(cid:107)u(cid:107)2
V1,
∀u ∈ V1.
and
Condition (C-θ) (i) Let ˜G : H0 → L( ˜K; H0) be such that
(cid:107) ˜G(θ)(cid:107)2
L( ˜K,H0) ≤ ˜K0 + ˜K1(cid:107)θ(cid:107)2
L( ˜K,H0) ≤ ˜L1(cid:107)θ1 − θ2(cid:107)2
H0,
H0,
∀θ ∈ H0,
∀θ1, θ2 ∈ H0.
(cid:107) ˜G(θ1) − ˜G(θ2)(cid:107)2
(ii) Let also ˜G : H1 → L(K; H1) satisfy the growth condition
(cid:107) ˜G(θ)(cid:107)2
L( ˜K;H1) ≤ ˜K2 + ˜K3(cid:107)θ(cid:107)2
H1,
∀θ ∈ H1.
(11)
(12)
(13)
(14)
(15)
(16)
2.3. The Fully Implicit Time Euler Scheme
Fix N ∈ {1, 2, ...}, let h := T
N denote the time mesh, and, for j = 0, 1, . . . , N, set tj := j T
N .
The fully implicit time Euler scheme {uk; k = 0, 1, ..., N} and {θk; k = 0, 1, ..., N} is defined
by u0 = u0, θ0 = θ0, and, for ϕ ∈ V1, ψ ∈ H1 and l = 1, ..., N,
(cid:16)
ul − ul−1 + hνAul + hB(cid:0)ul, ul(cid:1), ϕ
(cid:16)
θl − θl−1 + hκ ˜Aθl + h[ul−1.∇]θl, ψ
(cid:17)
(cid:17)
=(cid:0)Πθl−1v2, ϕ)h
+ (cid:0)G(ul−1)[W(tl) − W(tl−1)] , ϕ),
=(cid:0) ˜G(θl−1)[ ˜W(tl) − ˜W(tl−1)] , ϕ).
(17)
(18)
3. Main Results
In this section, we state the main results about the well-posedness of the solutions
(u, θ), the scheme {uk; k = 0, 1, ..., N} and the rate of the convergence of the scheme
{(uk, θk); k = 0, 1, ..., N} to (u, θ).
3.1. Global Well-Posedness and Moment Estimates of (u, θ)
The first results state the existence and uniqueness of a weak pathwise solution (that is
a strong probabilistic solution in the weak deterministic sense) of (9) and (10). It is proven
in [1] (see also [2]).
Theorem 1. Let u0 ∈ L2p(Ω; V0) and θ0 ∈ L2p(Ω; H0) for p = 1 or p ∈ [2, ∞). Let the
coefficients G and ˜G satisfy the conditions (C-u)(i) and (C-θ)(i), respectively. Then, Equations (9)
and (10) have a unique pathwise solution, i.e.,
•
u (resp., θ) is an adapted V0-valued (resp., H0-valued) process that belongs a.s. to L2(0, T; V1)
(resp., to L2(0, T; H1));
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•
P a.s. we have u ∈ C([0, T]; V0), θ ∈ C(0, T]; H0) and
(cid:0)u(t), ϕ(cid:1)+ν
(cid:90) t
0
(cid:0)A
1
2 u(s), A
1
2 ϕ(cid:1)ds +
(cid:90) t
0
(cid:10)[u(s) · ∇]u(s), ϕ(cid:11)ds
= (cid:0)u0, ϕ) +
(cid:90) t
(cid:90) t
0
(cid:0)Πθ(t)v2, ϕ)ds +
(cid:90) t
(cid:90) t
0
(cid:0)ϕ, G(u(s))dW(s)(cid:1),
(cid:0)θ(t), ψ(cid:1)+κ
1
(cid:0) ˜A
2 θ(s), ˜A
1
2 ψ(cid:1)ds +
(cid:10)[u(s) · ∇]θ(s), ψ(cid:11)ds
0
= (cid:0)θ0, ψ) +
(cid:90) t
0
0
(cid:0)φ, ˜G(θ(s))d ˜W(s)(cid:1),
for every t ∈ [0, T] and every ϕ ∈ V1 and ψ ∈ H1.
Furthermore,
E(cid:16)
E(cid:16)
sup
t∈[0,T]
sup
t∈[0,T]
(cid:107)u(t)(cid:107)2p
V0 +
(cid:107)θ(t)(cid:107)2p
H0 +
(cid:90) T
0
(cid:90) T
0
(cid:107)A
1
2 u(t)(cid:107)2
V0
(cid:2)1 + (cid:107)u(t)(cid:107)2(p−1)
V0
(cid:107) ˜A
1
2 θ(t)(cid:107)2
H0
(cid:2)1 + (cid:107)θ(t)(cid:107)2(p−1)
H0
(cid:17)
(cid:3)dt
(cid:17)
(cid:3)dt
≤ C(cid:0)1 + E((cid:107)u0(cid:107)2p
V0
(cid:1),
≤ C(cid:0)1 + E((cid:107)θ0(cid:107)2p
H0
(cid:1).
(19)
(20)
The following result proves that, if u0 ∈ V1, the solution u to (9) and (10) is more
regular.
Proposition 1. Let u0 ∈ L2p(Ω; V1) and θ0 ∈ L2p(Ω; H0) for p = 1 or some p ∈ [2, ∞), and
let G satisfy condition (C-u) and ˜G satisfy condition (C-θ). Then, the solution u to (9) and (10)
belongs a.s. to C([0, T]; V1) ∩ L2([0, T]; V2). Moreover, for some constant C,
E(cid:16)
sup
t∈[0,T]
(cid:107)u(t)(cid:107)2p
V1 +
(cid:90) T
0
(cid:107)Au(t)(cid:107)2
V0
(cid:2)1 + (cid:107)A
1
2 u(t)(cid:107)2(p−1)
V0
(cid:3)dt
(cid:17)
≤ C(cid:2)1 + E(cid:0)(cid:107)u0(cid:107)2p
V1 + (cid:107)θ0(cid:107)2p
H0
(cid:1)(cid:3).
(21)
The next result proves similar bounds for moments of the gradient of the temperature
uniformly in time.
Proposition 2. Let u0 ∈ L8p+(cid:101)(Ω; V1) and θ0 ∈ L8p+(cid:101)(Ω; H1) for some (cid:101) > 0 and p = 1 or
p ∈ [2, +∞). Suppose that the coefficients G and ˜G satisfy the conditions (C-u) and (C-θ). There
exists a constant C such that
E(cid:104)
(cid:107) ˜A
sup
t≤T
1
2 θ(t)(cid:107)2p
H0 +
(cid:90) T
0
(cid:107) ˜Aθ(s)(cid:107)2
H0 (cid:107) ˜A
1
2 θ(s)(cid:107)2(p−1)
H0
ds
(cid:105)
≤ C.
(22)
3.2. Global Well-Posedness of the Time Euler Scheme
The following proposition states the existence and uniqueness of the sequences
{uk}k=0,...,N and {θk}k=0,...,N.
Proposition 3. Let condition (G-u)(i) and (C-θ)(i) be satisfied, u0 ∈ V0 and θ0 ∈ H0 a.s. The
time fully implicit scheme (17) and (18) has a unique solution {ul}l=1,...,N ∈ V1, {θl}l=1,...,N ∈
H1.
3.3. Rates of Convergence in Probability and in L2(Ω)
The following theorem states that the implicit time Euler scheme converges to the pair
(u, θ) in probability with the “optimal” rate “almost 1/2”. It is the main result of the paper.
For j = 0, ..., N, set ej := u(tj) − uj and ˜ej := θ(tj) − θ j; then, e0 = ˜e0 = 0.
Mathematics 2022, 10, 4246
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Theorem 2. Suppose that the conditions (C-u) and (C-θ) hold. Let u0 ∈ L32+(cid:101)(Ω; V1) and
θ0 ∈ L32+(cid:101)(Ω; H1) for some (cid:101) > 0, u, θ be the solution to (9) and (10) and {uj, θ j}j=0,...,N be the
solution to (17) and (18). Then, for every η ∈ (0, 1), we have
(cid:16)
lim
N→∞
P
max
1≤J≤N
(cid:2)(cid:107)eJ(cid:107)2
V0 + (cid:107) ˜eJ(cid:107)2
H0
(cid:3) +
T
N
N
∑
j=1
(cid:2)(cid:107)A
1
2 ej(cid:107)2
V0 + (cid:107) ˜A
1
2 ˜ej(cid:107)2
H0
(cid:3) ≥ N−η(cid:17)
= 0.
(23)
We finally state that the strong (i.e., in L2(Ω)) rate of convergence of the implicit time
Euler scheme is some negative exponent of ln N. Note that, if the initial conditions u0 and
θ0 are deterministic, or if their V1 and H1-norms have moments of all orders (for example,
if u0 and θ0 are Gaussian random variables), the strong rate of convergence is any negative
exponent of ln N. More precisely, we have the following result.
Theorem 3. Suppose that the conditions (C-u) and (C-θ)(i) hold. Let u0 ∈ L2q+(cid:101)(Ω; V1) and
θ0 ∈ L2q+(cid:101)(Ω; H1) for q ∈ [5, ∞) and some (cid:101) > 0. Then, for some constant C such that
1
2 ej(cid:107)2
V0 + (cid:107) ˜A
(cid:17)
1
2 ˜ej(cid:107)2
H0
≤ C(cid:0) ln(N)(cid:1)−(2q−1+1)
(24)
E(cid:16)
max
1≤J≤N
(cid:2)(cid:107)eJ(cid:107)2
V0 + (cid:107) ˜eJ(cid:107)2
H0
(cid:3) +
T
N
N
∑
j=1
(cid:2)(cid:107)A
for large enough N.
4. More Regularity of the Solution
4.1. Moments of u in L
∞(0, T; V1)
In this section, we prove that, if u0 ∈ V1 and θ0 ∈ H0, the H1-norm of the velocity has
bounded moments uniformly in time.
Proof of Proposition 1. Apply the operator A
the square of the (cid:107).(cid:107)V0-norm of A
1
2 u(t). Then, using (4), we obtain
1
2 to (9) and use (formally) Itô’s formula for
1
(cid:107)A
2 u(t)(cid:107)2
(cid:107)Au(s)(cid:107)2
V0 ds = (cid:107)A
1
2 u0(cid:107)2
(cid:0)A
1
2 Πθ(s)v2, A
1
2 u(s)(cid:1)ds
(25)
(cid:90) t
V0 + 2ν
(cid:90) t
+ 2
0
(cid:0)A
0
(cid:90) t
V0 + 2
(cid:90) t
0
0
1
2 G(u(s))dW(s), A
1
2 u(s)(cid:1) +
1
(cid:107)A
2 G(u(s))(cid:107)2
L(K;V0) Tr(Q)ds.
Let τM := inf{t : (cid:107)u(t)(cid:107)V1 ≥ M}; using (13), integration by parts and the Cauchy–Schwarz
and Young inequalities, we deduce, for M > 0 and t ∈ [0, T],
E(cid:16)
(cid:107)A
1
(cid:90) t∧τM
2 u(t ∧ τM)(cid:107)2
+ 2E(cid:16) (cid:90) t∧τM
V0 + 2ν
(cid:107)Au(s)(cid:107)2
V0 ds
(cid:107)θ(s)(cid:107)H0 (cid:107)Au(s)(cid:107)V0 ds + Tr(Q)E(cid:16) (cid:90) t∧τN
≤ E(cid:0)(cid:107)u0(cid:107)2
V0
(cid:1)
0
(cid:17)
≤E(cid:16)
(cid:107)u0(cid:107)2
+ K3TE(cid:16)
0
V0 + ν
(cid:90) t∧τM
0
(cid:107)Au(s)(cid:107)2
V0 ds
(cid:90) t
+ K3
0
(cid:17)
(cid:107)u(t)(cid:107)2
V0
sup
t∈[0,T]
(cid:17)
+
1
ν
E(cid:16) (cid:90) t∧τM
0
E(cid:16)
(cid:107)A
1
2 u(s ∧ τM)(cid:107)2
V0
H0 ds
(cid:17)
ds.
0
(cid:2)K2 + K3(cid:107)u(s)(cid:107)2
V1
(cid:17)
+ K2T
(cid:107)θ(s)(cid:107)2
(cid:17)
(cid:3)ds
Indeed the stochastic integral in the right hand side of (25) is a square integrable, and hence
a centered martingale. Neglecting the time integral in the left hand side, using (19) and the
Gronwall lemma, we deduce
E(cid:16)
A
1
2 (cid:107)u(t ∧ τM)(cid:107)2
V0
(cid:17)
≤ C < ∞.
sup
M
sup
t∈[0,T]
(26)
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As M → ∞, this implies that E(cid:0) (cid:82) T
Furthermore, the Davis inequality and Young’s inequality imply
V0 ds(cid:1) < ∞.
0 (cid:107)Au(s)(cid:107)2
E(cid:16)
sup
s≤t
(cid:90) s∧τM
0
(cid:0)A
1
2 G(u(r))dW(r), A
1
2 u(r)(cid:1)(cid:17)
≤ 3E(cid:16)(cid:110) (cid:90) t
0
(cid:107)A
≤ 3E(cid:16)
(cid:107)A
sup
s≤t
1
1
2 u(r ∧ τM)(cid:107)2
2 u(s ∧ τM)(cid:107)V0
V0 Tr(Q) (cid:107)A
(cid:90) t
(cid:110)
Tr(Q)
0
1
2 G(u(r ∧ τM))(cid:107)2
L(K;V0)dr
(cid:111) 1
2 (cid:17)
[K2 + K3(cid:107)u(s ∧ τM)(cid:107)2
V1 ]ds
(cid:111) 1
2 (cid:17)
≤
E(cid:16)
1
2
sup
s≤t
(cid:107)A
1
2 u(s ∧ τM)(cid:107)2
V0
(cid:17)
+ 9Tr(Q)E(cid:16) (cid:90) t
0
[K2 + K3(cid:107)u(r ∧ τM)(cid:107)2
V1 ds
(cid:17)
.
The upper estimates (19), (20), (25) and (26) imply that, for some constant C depending on
E((cid:82) T
0
V0 + (cid:107)θ(t)(cid:107)2
H0
(cid:3)ds(cid:1) < ∞,
(cid:2)(cid:107)u(t)(cid:107)2
V0 + (cid:107)A
1
2 u(t)(cid:107)2
E(cid:16) 1
2
sup
M
(cid:107)A
sup
t≤T
1
2 u(t ∧ τM)(cid:107)2
V0 +
(cid:90) T∧τM
0
(cid:107)Au(s)(cid:107)2
V0 ds
(cid:17)
≤ C + CE(cid:16) (cid:90) T
0
(cid:2)(cid:107)A
As M → ∞, we deduce
1
2 u(t)(cid:107)2
V1 + (cid:107)θ(t)(cid:107)2
H0
(cid:17)
(cid:3)ds
< ∞.
E(cid:16)
sup
t∈[0,T]
(cid:107)A
1
2 u(t)(cid:107)2
V0
(cid:17)
+ E(cid:16) (cid:90) T
0
(cid:107)Au(s)(cid:107)2
V0 ds
(cid:17)
≤ C < ∞.
This proves (21) for p = 1.
Given p ∈ [2, ∞) and using Itô’s formula for the map x (cid:55)→ xp in (25), we obtain
(cid:90) t∧τM
(cid:107)A
1
2 u(t ∧ τM)(cid:107)2p
(cid:90) t∧τM
V0 + 2pν
0
2 Πθ(s)v2, A
1
(cid:0)A
+ 2p
+ 2p
0
(cid:90) t∧τM
0
(cid:107)Au(s)(cid:107)2
V0 (cid:107)A
1
2 u(s)(cid:107)2(p−1)
V0
ds = (cid:107)A
1
2 u0(cid:107)2p
V0
1
2 u(s)(cid:1) (cid:107)A
1
2 u(s)(cid:107)2(p−1)
V0
ds
(cid:0)A
1
2 G(u(s))dW(s), A
1
2 u(s)(cid:1) (cid:107)A
1
2 u(s)(cid:107)2(p−1)
V0
+ pTr(Q)
(cid:90) t∧τM
0
(cid:107)G(u(s)(cid:107)2
L(K;V1)(cid:107)A
1
2 u(s)(cid:107)2(p−1)
V0
ds
+ 2p(p − 1)Tr(Q)
(cid:90) t∧τM
0
(cid:107)(cid:0)A
1
2 G(cid:1)∗(u(s))(cid:0)A
1
2 u(s)(cid:1)(cid:107)2
K(cid:107)A
1
2 u(s)(cid:107)2(p−2)
V0
ds.
(27)
Integration by parts and the Cauchy–Schwarz, Hölder and Young inequalities imply that
(cid:12)
(cid:12)
(cid:12)
(cid:90) t
0
(cid:0)A
1
2 Πθ(s)v2, A
1
2 u(s)(cid:1)(cid:107)A
1
2 u(s)(cid:107)2(p−1)
V0
ds
(cid:107)Au(s)(cid:107)V0 (cid:107)θ(s)(cid:107)H0 (cid:107)A
1
2 u(s)(cid:107)2(p−1)
V0
ds
(cid:90) t
(cid:12)
(cid:12)
(cid:12) ≤
0
2 (cid:110) (cid:90) t
(cid:111) 1
(cid:107)Au(s)(cid:107)2
V0 (cid:107)A
1
2 u(s)(cid:107)2(p−1)
V0
ds
(cid:107)Au(s)(cid:107)2
V0 (cid:107)A
1
2 u(s)(cid:107)2(p−1)
V0
ds +
≤
≤
(cid:110) (cid:90) t
0
(cid:90) t
pν
2
(cid:90) t
0
≤ (cid:101)
0
1
2 u(s)(cid:107)2(p−1)
V0
ds
(cid:111) 1
2
1
2 u(s)(cid:107)2(p−1)
V0
ds
(cid:107)θ(s)(cid:107)2
H0 (cid:107)A
(cid:90) t
(cid:107)θ(s)(cid:107)2
0
1
2pν
(cid:90) t
0
0
(cid:107)θ(s)(cid:107)2p
H0 (cid:107)A
(cid:90) t
(cid:107)Au(s)(cid:107)2
V0 (cid:107)A
1
2 u(s)(cid:107)2(p−1)
V0
ds + C
H0 ds + C
0
(cid:107)A
1
2 u(s)(cid:107)2p
V0 ds.
(28)
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Since ap−1 ≤ 1 + ap for any a ≥ 0, the growth condition (13) implies that
(cid:90) t
0
(cid:107)A
1
2 G(u(s))(cid:107)2
L(K,V0)(cid:107)A
1
2 u(s)(cid:107)2(p−1)
V0
ds
(cid:90) t
≤
0
(cid:16)
≤ C
(cid:2)K2 + K3(cid:107)u(s)(cid:107)2
1
2 u(s)(cid:107)2
V0
(cid:3)(cid:107)A
1
2 u(s)(cid:107)2(p−1)
V0
ds
V0 + K3(cid:107)A
(cid:90) t
T +
(cid:90) T
0
(cid:107)u(s)(cid:107)2p
V0 +
(cid:107)A
1
2 u(s)(cid:107)2p
V0 ds
0
(cid:17)
.
(29)
1
2 G(u(s))(cid:1)∗
Furthermore, since (cid:0)(cid:107)A
V0, the upper
estimate of the corresponding integral is similar to that of (29). Since the stochastic in-
tegral (cid:82) t∧τM
2 u(s)(cid:1)(cid:107)u(s)(cid:107)2(p−1)
(cid:1) is square integrable, it is centered.
Therefore, (27) and the above upper estimates (28) and (29) imply that
V0 ≤ [K2 + K3(cid:107)u(s)(cid:107)2
1
2 G(u(s))dW(s), A
1
2 u(s)(cid:107)2
1
2 u(s)(cid:107)2
V1 ](cid:107)A
(cid:0)A
V0
A
0
1
E(cid:16)
(cid:107)A
sup
M
1
2 u(t ∧ τM)(cid:107)2p
V0 + pν
(cid:90) t∧τM
(cid:107)Au(s)(cid:107)2
V0 (cid:107)A
1
2 u(s)(cid:107)2(p−1)
V0
(cid:17)
(cid:16)
≤ C
T + E(cid:16) (cid:90) t
0
V0 + (cid:107)θ(s)(cid:107)2p
H0
(cid:17)
(cid:3)ds
+
(cid:90) t
0
E(cid:0)(cid:107)A
1
2 u(s ∧ τM)(cid:107)2p
V0
(cid:1)ds.
0
(cid:2)(cid:107)u(s)(cid:107)2p
Using Gronwall’s lemma we obtain
sup
M
sup
M
sup
t∈[0,T]
E(cid:16) (cid:90) T∧τM
0
E(cid:0)(cid:107)A
1
2 u(s ∧ τM)(cid:107)2p
V0
(cid:1) = C < ∞,
(cid:107)Au(s)(cid:107)2
V0 (cid:107)A
1
2 u(s)(cid:107)2(p−1)
V0
ds
(cid:17)
= C < ∞.
(30)
(31)
Finally, using the Davis inequality, the Hölder and Young inequalities, we deduce
E(cid:16)
(cid:12)
(cid:12)
(cid:12)
2p
sup
s∈[0,t]
(cid:90) s∧τM
0
(cid:0)A
1
2 G(u(r))dW(r), A
1
2 u(r)(cid:107)A
1
2 u(r)(cid:107)2(p−1)
V0
(cid:17)
(cid:12)
(cid:12)
(cid:12)
Tr(Q)(cid:107)A
1
2 G(u(s))(cid:107)2
L(K;V0)(cid:107)A
1
2 u(s)(cid:107)4p−2
V0
(cid:111) 1
2 (cid:17)
ds
≤ 6p E(cid:16)(cid:110) (cid:90) t∧τM
2 E(cid:16)
≤ 6p (cid:0)Tr(Q)(cid:1) 1
0
(cid:107)A
1
2 u(s)(cid:107)p
V0
sup
s≤t∧τM
(cid:110) (cid:90) t
×
0
≤
E(cid:16)
1
2
sup
s∈[0,t∧τM]
(cid:107)A
(cid:107)A
1
2 G(u(s ∧ τN))(cid:107)2
+ CE(cid:16)
2 u(s)(cid:107)2p
V0
(cid:17)
1
L(K;V0)(cid:107)A
(cid:90) t
1 +
0
1
2 u(s ∧ τM)(cid:107)2p−2
(cid:90) t
V0
(cid:107)u(s)(cid:107)2p
V0 ds +
0
(cid:111) 1
2 (cid:17)
ds
(cid:107)A
1
2 u(s)(cid:107)2p
V0 ds
(cid:17)
.
(32)
The upper estimates (27), (19) and (32) imply that
E(cid:16)
sup
M
sup
s∈[0,T∧τM]
(cid:107)A
1
2 u(s)(cid:107)2p
V0
(cid:17)
(cid:104)
≤ C
1 + sup
M
E(cid:16) (cid:90) T
0
(cid:2)(cid:107)θ(s ∧ τM)(cid:107)2p
H0 + (cid:107)u(s ∧ τM)(cid:107)2p
V1
(cid:17)(cid:105)
(cid:3)ds
< ∞.
As M → ∞ in this inequality and in (31), the monotone convergence theorem concludes
the proof of (21).
4.2. Moment Estimates of θ in L
∞(0, T; H1)
We next give upper estimates for moments of supt∈[0,T] (cid:107) ˜A
1
2 θ(t)(cid:107)H0, i.e., prove Propo-
sition 2.
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However, since (cid:104)[u(s).∇]θ(s), ˜Aθ(s)(cid:105) (cid:54)= 0, unlike what we have in the proof of the
previous result, we keep the bilinear term. This creates technical problems and we proceed
in two steps. First, using the mild formulation of the weak solution θ of (10), we prove that
the gradient of the temperature has finite moments. Then, going back to the weak form, we
prove the desired result.
Let {S(t)}t≥0 be the semi-group generated by −νA, { ˜S(t)}t≥0 be the semi-group
generated by −κ ˜A, which is S(t) = exp(−νtA), and ˜S(t) = exp(−κt ˜A) for every t ≥ 0.
Note that, for every α > 0,
(cid:107)AαS(t)(cid:107)L(V0;V0) ≤ Ct−α,
(cid:107)A−α(cid:2)Id − S(t)(cid:3)(cid:107)L(V0;V0) ≤ Ctα,
∀t > 0
∀t > 0.
(33)
(34)
Similar upper estimates are valid when we replace A with ˜A, S(t) with ˜S(t) and V0 with
H0.
Note that if u0 ∈ L2(Ω; V1) and θ0 ∈ L2(Ω; H0), we deduce u ∈ L2(Ω; C([0, T]; V0) ∩
∞([0, T]; V1)) and θ ∈ L2(Ω; C([0, T]; H0)) ∩ L2(Ω × [0, T]; H1). We can write the solu-
L
tions of (9) and (10) in the following mild form:
u(t) = S(t)u0 −
(cid:90) t
0
S(t − s)B(u(s), u(s)) ds +
(cid:90) t
0
S(t − s)(cid:0)Πθ(t)v2
(cid:1) ds
+
(cid:90) t
0
S(t − s)G(u(s))dW(s),
θ(t) = ˜S(t)θ0 −
(cid:90) t
0
˜S(t − s)(cid:0)[u(s).∇]θ(s)(cid:1) ds +
(cid:90) t
0
˜S(t − s) ˜G(θ(s))d ˜W(s),
(35)
(36)
where the first equality holds a.s. in V0 and the second one in H0.
Indeed, since (cid:107)Aαu(cid:107)V0 ≤ C(cid:107)A
1
2 u(cid:107)2α
V0 (cid:107)u(s)(cid:107)1−2α
V0
, the upper estimate (7) for δ + ρ > 1
2 ,
δ + α + ρ = 1 and the Minkowski inequality imply that
(cid:13)
(cid:13)
(cid:13)
(cid:90) t
0
S(t − s)B(u(s), u(s))ds
(cid:13)
(cid:13)
(cid:13)V0
≤
(cid:90) t
0
(cid:107)Aδ A−δB(u(s), u(s))(cid:107)V0 ds
≤ C
(cid:90) t
0
(t − s)−δ(cid:107)Aαu(s)(cid:107)V0 (cid:107)Aρu(s)(cid:107)V0 ds
≤ C sup
s∈[0,t]
(cid:107)u(s)(cid:107)2
V1
(cid:90) t
0
(t − s)−δds
Since (cid:107)S(t)(cid:107)L(V0;V0) ≤ 1, it is easy to see that
(cid:13)
(cid:13)
(cid:13)
(cid:90) t
0
S(t − s)Πθ(t)v2ds
(cid:13)
(cid:13)
(cid:13)V0
≤ C
(cid:90) t
0
(cid:107)θ(t)(cid:107)H0 ds.
Furthermore,
E(cid:16)(cid:13)
(cid:13)
(cid:13)
(cid:90) t
0
S(t − s)G(u(s))dW(s)
(cid:13)
(cid:13)
(cid:13)
2
(cid:17)
V0
≤ Tr(Q)E(cid:16) (cid:90) t
0
[K0 + K1(cid:107)u(t)(cid:107)2
V0
(cid:17)
(cid:3)ds
< ∞.
Therefore, the stochastic integral (cid:82) t
is true a.s. in V0.
0 S(t − s)G(u(s))dW(s) ∈ V0 a.s., and the identity (35)
A similar argument shows that (36) holds a.s. in H0. We only show that the convolution
involving the bilinear term belongs to H0. Using the Minkowski inequality and the upper
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estimate (8) with positive constants δ, α, ρ such that α, ρ ∈ (0, 1
1, we obtain
2 ), δ + ρ > 1
2 and δ + α + ρ =
(cid:13)
(cid:13)
(cid:13)
(cid:90) t
0
˜S(t − s)[(u(s).∇)θ(s)]ds
(cid:13)
(cid:13)
(cid:13)H0
≤
(cid:90) t
0
(cid:107) ˜Aδ ˜S(t − s) ˜A−δ[(u(s).∇)θ(s)](cid:107)H0 ds
≤ C
(cid:90) t
0
(t − s)−δ (cid:107)Aαu(s)(cid:107)V0 (cid:107) ˜Aρθ(s)(cid:107)H0 d s
≤ C sup
s∈[0,t]
(cid:107)u(s)(cid:107)V1 sup
s∈[0,t]
(cid:107)θ(s)(cid:107)1−2ρ
H0
(cid:16) (cid:90) t
0
(t − s)− δ
1−ρ ds
(cid:17)1−ρ(cid:16) (cid:90) t
0
(cid:107) ˜A
1
2 θ(s)(cid:107)2
H0 ds
(cid:17)ρ
< ∞,
where the last upper estimate is deduced from Hölder’s inequality and δ
1−ρ < 1.
The following result shows that, for fixed t, the L2-norm of the gradient of θ(t) has
finite moments.
Lemma 2. Let p ∈ [0, +∞), u0 ∈ L4p+(cid:101)(Ω; V1) and θ0 ∈ L4p+(cid:101)(Ω; H1) for some (cid:101) ∈ (0, 1
2 ).
Let the diffusion coefficient G and ˜G satisfy the condition (C) and ( ˜C), respectively. For every N, let
˜τN := inf{t ≥ 0 : (cid:107) ˜A
2 θ(t)(cid:107)H0 ≥ N} ∧ T; then,
1
sup
N>0
sup
t∈[0,T]
E(cid:0)(cid:107) ˜A
1
2 θ(t ∧ ˜τN)(cid:107)2p
H0
(cid:1) < ∞.
(37)
Proof. Write θ(t) using (36); then, (cid:107) ˜A
1
2 θ(t)(cid:107)H0 ≤ ∑3
i=1 Ti(t), where
T1(t) = (cid:107) ˜A
2 ˜S(t)θ0(cid:107)H0 , T2(t) =
(cid:90) t
1
˜A
2 ˜S(t − s) ˜G(θ(s))d ˜W(s)
T3(t) =
(cid:13)
(cid:13)
(cid:13)
1
0
(cid:90) t
1
(cid:13)
(cid:13)
(cid:13)
0
(cid:13)
(cid:13)
(cid:13)H0
.
˜A
2 ˜S(t − s)[(u(s).∇)θ(s)]ds
(cid:13)
(cid:13)
(cid:13)H0
,
The Minkowski inequality implies that, for β ∈ (0, 1
2 ),
(cid:90) t
0
≤
T2(t) ≤
(cid:107) ˜A
1
2 ˜S(t − s)[(u(s).∇)θ(s)](cid:107)H0 ds
(cid:90) t
0
(cid:107) ˜A1−β ˜S(t − s)(cid:107)L(H0;H0)(cid:107) ˜A−( 1
2 −β)[(u(s).∇)θ(s)(cid:107)H0 ds.
Apply (8) with δ = 1
(cid:107) ˜Aρ f (cid:107)H0 ≤ (cid:107) ˜A
2 f (cid:107)2ρ
1
2 − β, α = 1
2 and ρ ∈ (β, 1
for any f ∈ H1. Therefore,
H0 (cid:107) f (cid:107)1−2ρ
H0
2 ). A simple computation proves that
(cid:107) ˜A−( 1
2 −β)[(u(s).∇)θ(s)](cid:107)H0 ≤ C(cid:107)A
≤ C(cid:107)A
This upper estimate and (33) imply that
1
2 u(s)(cid:107)V0 (cid:107) ˜Aρθ(s)(cid:107)H0
2 θ(s)(cid:107)2ρ
2 u(s)(cid:107)V0 (cid:107) ˜A
1
1
H0 (cid:107)θ(s)(cid:107)1−2ρ
H0
.
T2(t) ≤ C sup
s∈[0,T]
(cid:107)A
1
2 u(s)(cid:107)V0 sup
s∈[0,t]
(cid:107)θ(s)(cid:107)1−2ρ
H0
(cid:90) t
0
(t − s)−1+β(cid:107) ˜A
1
2 θ(s)(cid:107)2ρ
H0 ds.
For p ∈ [1, ∞), Hölder’s inequality with respect to the measure (t − s)−(1−β)1[0,t)(s)ds
implies that
(cid:107)A
1
2 u(s)(cid:107)2p
V0 sup
s∈[0,t]
(cid:107)θ(s)(cid:107)2p(1−2ρ)
H0
(cid:16) (cid:90) t
0
(t − s)−(1−β)ds
(cid:17)2p−1
T2(t)2p ≤ C sup
s∈[0,t]
(cid:16) (cid:90) t
×
(t − s)−(1−β)(cid:107) ˜A
0
1
2 θ(s)(cid:107)4pρ
H0 ds
(cid:17)
.
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Let p1 = 2(1−ρ)
(1−2ρ)2 and p3 = 1
pp1 = p(1 − 2ρ)p2 := ˜p. Young’s and Hölder’s inequalities imply that
1−2ρ , p2 = 2(1−ρ)
2ρ . Then, 1
p1
+ 1
p3
+ 1
p2
= 1, 4ρpp3 = 2p and
T2(t)2p ≤ C
(cid:104) 1
p1
(cid:107)A
1
2 u(s)(cid:107)2 ˜p
V0 +
1
p2
sup
s∈[0,t]
(cid:107)θ(s)(cid:107)2 ˜p
H0
sup
s∈[0,t]
(cid:16) (cid:90) t
+
1
p3
(t − s)−1+β(cid:107) ˜A
1
2 θ(s)(cid:107)2p
H0 ds
(cid:17)(cid:16) (cid:90) t
0
(t − s)−1+βds
(cid:17)p3−1(cid:105)
.
0
Note that the continuous function ρ ∈ (0, 1
Given (cid:101) > 0, choose ρ ∈ (0, 1
choose β ∈ (0, ρ). The above computations yield
2 ) (cid:55)→ 2(1−ρ)
2 ) close enough to 0 to have 2 ˜p = 2p 2(1−ρ)
1−2ρ increases with limρ→0
2(1−ρ)
1−2ρ = 2.
1−2ρ = 4p + (cid:101), and then
T2(t)2p ≤ C
(cid:104)
(cid:107)A
1
2 u(s)(cid:107)4p+(cid:101)
V0 + sup
s∈[0,t]
(cid:107)θ(s)(cid:107)4p+(cid:101)
H0
(cid:105)
+ C
(t − s)−1+β(cid:107) ˜A
1
2 θ(s)(cid:107)2p
H0 ds.
(38)
sup
s∈[0,t]
(cid:90) t
0
Finally, Burhholder’s inequality, the growth condition (16) and Hölder’s inequality
imply that, for t ∈ [0, T],
E(cid:16)(cid:13)
(cid:13)
(cid:13)
(cid:90) t∧τN
˜A
1
0
(cid:13)
(cid:13)
(cid:13)
2p
(cid:17)
H0
≤ Cp
(cid:90) t∧τN
2 ˜S(t − s) ˜G(θ(s))d ˜W(s)
(cid:0)Tr(Q)(cid:1)pE(cid:16)(cid:12)
(cid:12)
(cid:12)
(cid:0)Tr(Q)(cid:1)pE(cid:16)(cid:12)
(cid:12)
≤ Cp
(cid:12)
≤ C(p, ˜K2, ˜K3, Tr(Q))T p(cid:104)
0
(cid:90) t∧τN
0
1
(cid:107) ˜A
2 ˜G(θ(s))(cid:107)2
L( ˜K;H0)ds
p(cid:17)
(cid:12)
(cid:12)
(cid:12)
[ ˜K2 + ˜K3(cid:107)θ(s)(cid:107)2
1 + E(cid:16)
sup
s∈[0,T]
(cid:105)
(cid:107)θ(s)(cid:107)2p
H0
H0 + ˜K3(cid:107) ˜A
1
2 θ(s)(cid:107)2
H0
(cid:3)ds
p(cid:17)
(cid:12)
(cid:12)
(cid:12)
+ Cp
(cid:0)Tr(Q)(cid:1)p ˜K3
p
T p−1
(cid:90) t
0
E(cid:0)(cid:107) ˜A
1
2 θ(s ∧ τN)(cid:107)2p
H0
(cid:1)ds.
(39)
The upper estimates (38), (39) and T1(t) ≤ (cid:107)A
instead of t imply that, for every t ∈ [0, T],
1
2 θ0(cid:107)H0 ≤ (cid:107)θ0(cid:107)H1 used with t ∧ ˜τN
E(cid:0)(cid:107) ˜A
1
2 θ(t ∧ ˜τN)(cid:107)2p
H0
(cid:1) ≤ Cp
(cid:104)
1 + E(cid:16)
(cid:107) ˜A
1
2 θ0(cid:107)2p
H0 + sup
s∈[0,T]
(cid:107)A
1
2 u(s)(cid:107)4p+(cid:101)
V0 + sup
s∈[0,T]
(cid:107)θ(s)(cid:107)4p+(cid:101)
H0
(cid:17)(cid:105)
+ Cp
(cid:90) t
0
(cid:2)(t − s)−1+β + ˜K3T p−1(cid:3)E(cid:0)(cid:107) ˜A
1
2 θ(s ∧ ˜τN)(cid:107)2p
H0
(cid:1)ds,
where the constant Cp does not depend on t and N. Theorem 1, Proposition 1 and the
version of Gronwall’s lemma proved in the following lemma 3 imply that (37) for some
) and E((cid:107)θ0(cid:107)4p+(cid:101)
constant C depending on E((cid:107)u0(cid:107)4p+(cid:101)
). The proof of the Lemma is com-
plete.
H0
V1
The following lemma is an extension of Lemma 3.3, p. 316 in [15]. For the sake of
completeness, its proof is given at the end of this section.
Lemma 3. Let (cid:101) ∈ (0, 1), a, b, c be positive constants and ϕ be a bounded non-negative function
such that
ϕ(t) ≤ a +
(cid:2)b + c(t − s)−1+(cid:101)(cid:3) ϕ(s) ds,
∀t ∈ [0, T].
(40)
(cid:90) t
0
Then, supt∈[0,T] ϕ(t) ≤ C for some constant C depending on a, b, c, T and (cid:101).
Proof of Proposition 2. We next prove that the gradient of the temperature has bounded
moments uniformly in time.
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We only prove (22) for p ∈ [2, +∞); the other argument is similar and easier.
Applying the operator ˜A
1
2 to Equation (10), and writing Itô’s formula for the square of
the corresponding H0-norm, we obtain
1
(cid:107) ˜A
2 θ(t)(cid:107)2
(cid:107) ˜Aθ(s)(cid:107)2
H0 ds = (cid:107) ˜A
1
2 θ0(cid:107)2
H0 − 2
(cid:104)(u(s).∇)θ(s), ˜Aθ(s)(cid:105)ds
2 ˜G(θ(s))d ˜W(s), ˜A
1
2 θ(s)(cid:1) + Tr(Q)
1
(cid:107) ˜A
2 ˜G(θ(s))(cid:107)2
H0 ds.
(cid:90) t
H0 + 2κ
(cid:90) t
+ 2
0
0
(cid:0) ˜A
1
(cid:90) t
0
(cid:90) t
0
Then, apply Itô’s formula for the map x (cid:55)→ xp. This yields, using integration by parts,
(cid:107) ˜A
1
2 θ(t)(cid:107)2p
H0 + 2pκ
(cid:90) t
(cid:90) t
0
(cid:107) ˜Aθ(s)(cid:107)2
H0 (cid:107) ˜A
1
2 θ(s)(cid:107)2(p−1)
H0
ds = (cid:107) ˜A
1
2 θ0(cid:107)2p
H0
− 2p
+ 2p
0
(cid:90) t
0
(cid:104)(u(s).∇)θ(s), ˜Aθ(s)(cid:105)(cid:107) ˜A
1
2 θ(s)(cid:107)2(p−1)
H0
ds
(cid:0) ˜A
1
2 ˜G(θ(s))d ˜W(s), ˜A
1
2 θ(s)(cid:1)(cid:107) ˜A
1
2 θ(s)(cid:107)2(p−1)
H0
+ pTr( ˜Q)
(cid:90) t
0
(cid:107) ˜A
1
2 ˜G(θ(s))(cid:107)2
H0 (cid:107) ˜A
1
2 θ(s)(cid:107)2(p−1)
H0
ds
+ 2p(p − 1)Tr( ˜Q)
(cid:90) t
0
(cid:107)(cid:0) ˜A
1
2 ˜G(cid:1)∗(θ(s))(cid:0) ˜A
1
2 θ(s)(cid:1)(cid:107)2
K(cid:107) ˜A
1
2 θ(s)(cid:107)2(p−2)
H0
ds.
(41)
The Gagliardo–Nirenberg inequality (6) and the inclusion V1 ⊂ L4 implies that
(cid:90) t
0
(cid:12)(cid:104)(u(s).∇)θ(s), ˜Aθ(s)(cid:105)(cid:12)
(cid:12)
(cid:12) (cid:107) ˜A
1
2 θ(s)(cid:107)2(p−1)
H0
ds
≤ C
≤ C
(cid:90) t
0
(cid:90) t
0
(cid:107) ˜Aθ(s)(cid:107)H0 (cid:107)u(s)(cid:107)L4 (cid:107) ˜A
1
2 θ(s)(cid:107)L4 (cid:107) ˜A
1
2 θ(s)(cid:107)2(p−1)
H0
ds
(cid:107) ˜Aθ(s)(cid:107)
3
2
H0 (cid:107)u(s)(cid:107)V1 (cid:107) ˜A
1
2 θ(s)(cid:107)2p− 3
2
H0
ds.
Then, using the Hölder and Young’s inequalities, we deduce
2p
(cid:90) t
0
(cid:12)(cid:104)(u(s).∇)θ(s), ˜Aθ(s)(cid:105)(cid:12)
(cid:12)
(cid:90) t
≤ (2p − 1) κ
(cid:107) ˜A(θ(s))(cid:107)2
0
(cid:12)(cid:107) ˜A
1
2 θ(s)(cid:107)2(p−1)
H0
ds
1
2 θ(s)(cid:107)2(p−1)
H0
ds
H0 (cid:107) ˜A
(cid:90) t
+ C(κ, p) sup
s∈[0,T]
(cid:107)u(s)(cid:107)4
V1
0
(cid:107) ˜A
1
2 θ(s)(cid:107)2p
H0 ds.
(42)
The growth condition (16) and Hölder’s and Young inequalities imply that
(cid:90) t
0
(cid:107) ˜A
1
2 ˜G(θ(s))(cid:107)2
H0 (cid:107) ˜A
1
2 θ(s)(cid:107)2(p−1)
H0
ds ≤ C
(cid:90) t
0
(cid:2)1 + (cid:107)θ(s)(cid:107)2p
H0 + (cid:107) ˜A
1
2 θ(s)(cid:107)2p
H0
(cid:3)ds,
(43)
and a similar computation yields
(cid:90) t
0
(cid:13)
(cid:13)
(cid:0) ˜A
1
2 ˜G(cid:1)∗(θ(s))(cid:0) ˜A
1
2 θ(s)(cid:1)(cid:107)2
K(cid:107) ˜A
1
2 θ(s)(cid:107)2(p−2)
H0
ds
≤ C
(cid:90) t
0
(cid:2)1 + (cid:107)θ(s)(cid:107)2p
H0 + (cid:107) ˜A
1
2 θ(s)(cid:107)2p
H0
(cid:3)ds.
(44)
Let ˜τN := inf{t ≥ 0 : (cid:107) ˜A
t ∧ ˜τN instead of t imply
1
2 θ(t)(cid:107)H0 ≥ N}. The upper estimates (41)–(44) written for
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(cid:107) ˜A
sup
t∈[0,T]
1
2 θ(t ∧ ˜τN)(cid:107)2p
H0 + κ
(cid:90) T∧ ˜τN
0
(cid:107) ˜Aθ(s)(cid:107)2
H0 (cid:107) ˜A
1
2 θ(s)(cid:107)2(p−1)
H0
ds ≤ (cid:107) ˜A
1
2 θ0(cid:107)2p
H0
+ C sup
s∈[0,T]
(cid:90) T∧ ˜τN
(cid:107)u(s)(cid:107)4
V1
0
(cid:107) ˜A
1
2 θ(s)(cid:107)2p
H0
ds + C
0
(cid:90) T∧ ˜τN
(cid:0)1 + (cid:107)θ(s)(cid:107)2p
H0 + (cid:107) ˜A
1
2 θ(s)(cid:107)2p
H0
(cid:1)ds
+ 2p sup
t∈[0,T]
(cid:90) t∧ ˜τN
0
(cid:0) ˜A
1
2 ˜G(θ(s))d ˜W(s), ˜A
1
2 θ(s)(cid:1)(cid:107) ˜A
1
2 θ(s)(cid:107)2(p−1)
H0
.
Using the Cauchy–Schwarz inequality, Fubini’s theorem, (21) and (37), we deduce
E(cid:16)
(cid:107)u(s)(cid:107)4
V1
sup
s∈[0,T]
(cid:90) T∧ ˜τN
0
(cid:107) ˜A
1
2 θ(s)(cid:107)2p
H0 ds
(cid:17)
(cid:110)E(cid:16)
≤
(cid:107)u(s)(cid:107)8
V1
sup
s∈[0,T]
(cid:17)(cid:111) 1
2 (cid:110) (cid:90) T
0
E(cid:0)(cid:107) ˜A
1
2 θ(s ∧ ˜τN)(cid:107)4p
H0
(cid:1)ds
(cid:111) 1
2 ≤ C.
(45)
The Davis inequality, the growth condition (16) and the Cauchy–Schwarz, Young and
Hölder inequalities imply that
E(cid:16)
(cid:12)
(cid:12)
(cid:12)
sup
t∈[0,T]
(cid:90) t∧ ˜τN
0
≤ C E(cid:16)(cid:110) (cid:90) T
≤ C E(cid:104)(cid:0) sup
0
s≤T
(cid:0) ˜A
1
2 ˜G(θ(s))d ˜W(s), ˜A
1
2 θ(s)(cid:1)(cid:107) ˜A
1
2 θ(s)(cid:107)2(p−1)
H0
(cid:17)
Tr( ˜Q)(cid:2) ˜K2 + ˜K3(cid:107)θ(s ∧ ˜τN)(cid:107)2
H1
(cid:1)(Tr( ˜Q))
(cid:0)(cid:107) ˜A
2 θ(s ∧ ˜τN)(cid:107)p
H0
1
2
1
(cid:3)(cid:107) ˜A
1
2 θ(s ∧ ˜τN)(cid:107)4p−2
H0 ds
(cid:111) 1
2 (cid:17)
(cid:2) ˜K2 + ˜K3(cid:107)θ(s ∧ ˜τN)(cid:107)2
H0 + ˜K3(cid:107) ˜A
(cid:17)
1
(cid:0)(cid:107) ˜A
2 θ(s ∧ ˜τN)(cid:107)2p
H0
≤
(cid:110) (cid:90) T
×
0
E(cid:16)
sup
s≤T
1
4p
+ CE(cid:16) (cid:90) T
0
(cid:2)1 + (cid:107)θ(s ∧ ˜τN)(cid:107)2p
H0 + (cid:107) ˜A
1
2 θ(s ∧ ˜τN)(cid:107)2p
H0
(cid:3)ds
(cid:17)
.
1
2 θ(s ∧ ˜τN)(cid:107)2
H0
(cid:3)(cid:107) ˜A
1
2 θ(s ∧ ˜τN)(cid:107)2(p−1)
H0
(cid:111) 1
2 (cid:17)
ds
Therefore, the upper estimates (20), (37) and (45) imply that
E(cid:16)
1
2
sup
s≤T
(cid:107) ˜A
1
2 θ(s ∧ ˜τN)(cid:107)2p
H0
(cid:17)
+ κ E(cid:16) (cid:90) T∧ ˜τN
0
(cid:107) ˜Aθ(s ∧ ˜τN)(cid:107)2
H0 (cid:107) ˜A
1
2 θ(s)(cid:107)2(p−1)
H0
ds
(cid:17)
≤ C
for some constant C independent of N. As N → +∞, we deduce (22); this completes the
proof of Proposition 3.
We conclude this section with the proof of an extension of the Gronwall lemma.
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Proof of Lemma 3. For t ∈ [0, T], iterating (40) and using the Fubini theorem, we obtain
ϕ(t) ≤ a +
(cid:2)b + c(t − s)−1+(cid:101)]
(cid:104)
a +
(cid:90) s
0
(cid:0)b + c(s − r)−1+(cid:101)(cid:1)ϕ(r)dr
(cid:105)
ds
(cid:16)
≤ a
1 +
[b + c(t − s)−1+(cid:101)]ds
(cid:17)
(cid:2)b + c(t − s)−1+(cid:101)][b + c(s − r)−1+(cid:101)]ds
(cid:17)
ϕ(r)dr
(cid:90) t
0
(cid:90) t
+
0
(cid:16)(cid:90) t
(cid:90) t
r
0
(cid:90) t
(cid:104)
≤ A1 +
≤A1 +
0
(cid:90) t
(cid:104)
0
b2(t − r) +
2bc
(cid:101)
(t − r)(cid:101) + c2
(cid:90) t
r
(t − s)−1+(cid:101)(s − r)−1+(cid:101)ds
(cid:105)
ϕ(r)dr
B1 + C1(t − r)−1+2(cid:101)
(cid:90) 1
0
λ−1+(cid:101)(1 − λ)−1+(cid:101)dλ
(cid:105)
ϕ(r)dr,
for positive constants A1 (depending on a, b, c, T, (cid:101)), B1 (depending on b, c, T, (cid:101)) and C1
(depending on c and (cid:101)). One easily proves by induction on k that, for every integer k ≥ 1,
ϕ(t) ≤ Ak +
≤ Ak +
0
(cid:90) t
0
(cid:90) t
(cid:104)
Bk + c Ck−1
(cid:90) t
r
(t − s)−1+k(cid:101)(s − r)−1+(cid:101)ds
(cid:105)
ϕ(r)dr
(cid:2)Bk + Ck(t − r)−1+(k+1)(cid:101)(cid:3)ϕ(r)dr,
for some positive constants Ak, Bk and Ck depending on a, b, c, T and (cid:101). Indeed, a change in
variables implies that
(cid:90) t
r
(t − s)−1+k(cid:101)(s − r)−1+(cid:101)ds = (t − r)−1+(k+1)(cid:101)
λ−1+k(cid:101)(1 − λ)−1+(cid:101)dλ
(cid:90) 1
0
= ˜Ck(t − r)−1+(k+1)(cid:101),
for some constant ˜Ck depending on k and (cid:101).
Let k∗ be the largest integer such that k(cid:101) < 1; that is, k∗(cid:101) < 1 ≤ (k∗ + 1)(cid:101). Then, since
(t − r)−1+(k∗+1)(cid:101) ≤ T−1+(k∗+1)(cid:101), we deduce that
ϕ(t) ≤ A +
(cid:90) T
0
B ϕ(r)dr,
for some positive constants A and B depending on the parameters a, b, c, T and (cid:101). The
classical Gronwall lemma concludes the proof of the lemma.
5. Moment Estimates of Time Increments of the Solution
In this section ,we prove moment estimates for various norms of time increments of
the solution to (9) and (10). This will be crucial for deducing the speed of the convergence of
numerical schemes. We first prove the time regularity of the velocity and temperature in L2.
Proposition 4. Let u0, θ0 be F0-measurable; suppose that G and ˜G satisfy (C-u) and (C-θ),
respectively.
(i) Let u0 ∈ L4p(Ω; V1) and θ0 ∈ L2p(Ω; H0). Then for 0 ≤ τ1 < τ2 ≤ T,
E(cid:0)(cid:107)u(τ2) − u(τ1)(cid:107)2p
V0
(cid:1) ≤ C |τ2 − τ1|p.
(46)
(ii) Let u0 ∈ L8p+(cid:101)(Ω; V1), θ0 ∈ L8p+(cid:101)(Ω; H1) for some (cid:101) > 0. Then, for 0 ≤ τ1 < τ2 ≤ T,
E(cid:0)(cid:107)θ(τ2) − θ(τ1)(cid:107)2p
H0
(cid:1) ≤ C |τ2 − τ1|p.
(47)
Proof. Recall that S(t) = e−νtA is the analytic semi group generated by the Stokes operator
A multiplied by the viscosity ν and that ˜S(t) = e−κt ˜A is the semi group generated by
˜A = −∆. We use the mild formulation of the solutions stated in (35) and (36).
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(i) Let 0 ≤ τ1 < τ2 ≤ T; then, u(τ2) − u(τ1) = ∑4
i=1 Ti(τ1, τ2), where
T1(τ1, τ2) = S(τ2)u0 − S(τ1)u0 = (cid:2)S(τ2) − S(τ1)(cid:3)S(τ1)u0,
T2(τ1, τ2) =
T3(τ1, τ2) =
T4(τ1, τ2) =
(cid:90) τ2
0
(cid:90) τ2
0
(cid:90) τ2
0
S(τ2 − s)B(u(s), u(s))ds −
(cid:90) τ1
S(τ2 − s)Πθ(s)v2ds −
(cid:90) τ1
0
S(τ1 − s)B(u(s), u(s))ds,
0
S(τ1 − s)Πθ(s)v2ds
(cid:90) τ1
0
S(τ2 − s)G(u(s))dW(s) −
S(τ1 − s)G(u(s))dW(s).
(48)
The arguments used in the proof of Lemma 2.1 [11], using (7), (33), (34) and (21) yield
E(cid:0)(cid:107)T1(τ1, τ2)(cid:107)2p
V0 + (cid:107)T2(τ1, τ2)(cid:107)2p
V0
(cid:1) ≤ C(cid:2)1 + E((cid:107)u0(cid:107)4p
V1 )]|τ2 − τ1|p.
(49)
Let T3(τ1, τ2) = T3,1(τ1, τ2) + T3,2(τ1, τ2), where
T3,1(τ1, τ2) =
T3,2(τ1, τ2) =
(cid:90) τ1
0
(cid:90) τ2
τ1
[S(τ2 − τ1) − Id]S(τ1 − s)(cid:2)Πθ(s)v2
(cid:3)ds,
S(τ2 − s)(cid:2)Πθ(s)v2
(cid:3)ds.
Since the family of sets {A(t, M)}t is decreasing, using the Minkowski inequality, (33) and
(34), we obtain
(cid:107)T3,1(τ1, τ2)(cid:107)V0 ≤
(cid:107)A
1
2 S(τ1 − s)(cid:107)L(V0;V0) (cid:107)A− 1
2 [S(τ2 − τ1) − Id](cid:107)L(V0;V0)(cid:107)Πθ(s)v2(cid:107)V0 ds
(cid:90) τ1
0
(cid:12)
(cid:12)τ2 − τ1
≤ C
1
2
(cid:12)
(cid:12)
sup
s∈[0,T]
(cid:107)θ(s)(cid:107)H0 ,
and
(cid:107)T3,2(τ1, τ2)(cid:107)V0 ≤
(cid:90) τ2
τ1
(cid:107)S(τ − s)(cid:2)Πθ(s)v2
(cid:3)(cid:107)V0 ds ≤ (cid:12)
(cid:12)τ2 − τ1
(cid:12)
(cid:12) sup
s∈[0,T]
(cid:107)θ(s)(cid:107)H0.
The inequality (20) implies that
E(cid:16)
(cid:107)T3(τ1, τ2)(cid:107)2p
V0
(cid:17)
≤ C
(cid:12)
(cid:12)τ2 − τ1|p E((cid:107)θ0(cid:107)2p
H0 ).
(50)
Finally, decompose the stochastic integral as follows:
T4,1(τ1, τ2) =
[S(τ2 − τ1) − Id]S(τ1 − s)G(s)dW(s), T4,2(τ1, τ2) =
(cid:90) τ1
0
(cid:90) τ2
τ1
S(τ2 − s)G(s)dW(s).
The Burkholder inequality, (34), Hölder’s inequality and the growth condition (13) yield
E(cid:16)
(cid:107)[S(τ2 − τ1) − Id]S(τ1 − s)G(u(s))(cid:107)2
(cid:90) τ1
p(cid:17)
(cid:17)
V0Tr(Q)ds
(cid:107)T4,1(cid:107)2p
V0
(cid:12)
(cid:12)
(cid:12)
0
≤ CpE(cid:16)(cid:12)
(cid:12)
(cid:12)
≤ C(Tr(Q))pE(cid:16)(cid:12)
(cid:12)
(cid:12)
(cid:90) τ1
≤ CE(cid:16)(cid:12)
(cid:12)
(cid:12)
≤ C(cid:2)1 + E((cid:107)u0(cid:107)2p
0
(cid:90) τ1
0
(cid:107)A− 1
2 [S(τ2 − τ1) − Id](cid:107)2
L(V0;V0)(cid:107)A
p(cid:17)
(cid:12)
(cid:12)τ2 − τ1
(cid:12)
(cid:12)
(cid:2)K2 + K3(cid:107)u(s)(cid:107)2
V1
(cid:3)ds
(cid:12)
(cid:12)
(cid:12)
V1 )(cid:3)|τ2 − τ1|p,
1
2 G(u(s))(cid:107)2
V0 ds
p(cid:17)
(cid:12)
(cid:12)
(cid:12)
(51)
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where the last upper estimate is a consequence of (19) and (21). A similar easier argument
implies that
E(cid:16)
(cid:107)T4,2(cid:107)2p
V0
(cid:17)
(cid:107)S(τ2 − s)G(u(s))(cid:107)2
V0Tr(Q)ds
p(cid:17)
(cid:12)
(cid:12)
(cid:12)
(cid:90) τ2
≤ CpE(cid:16)(cid:12)
(cid:12)
(cid:12)
≤ C(cid:2)1 + E((cid:107)u0(cid:107)2p
τ1
V0 )(cid:3) (cid:12)
(cid:12)τ2 − τ1
p
(cid:12)
(cid:12)
.
(52)
The inequalities (49)–(52) complete the proof of (46).
(53)
(54)
(ii) As in the proof of (i), for 0 ≤ τ1 < τ2 ≤ T, let θ(τ2) − θ(τ1) = ∑3
˜T1(τ1, τ2) = (cid:2) ˜S(τ2 − τ1) − Id(cid:3) ˜S(τ1)θ0,
˜T2(τ1, τ2) = −
(cid:90) τ1
(cid:90) τ2
˜S(τ2 − s)(cid:0)[u(s).∇]θ(s)(cid:1)ds +
(cid:90) τ1
0
˜S(τ2 − s) ˜G(θ(s))d ˜W(s) −
0
˜T3(τ1, τ2) =
(cid:90) τ2
0
˜S(τ1 − s) ˜G(θ(s))d ˜W(s).
0
˜S(τ1 − s)(cid:0)[u(s).∇]θ(s)(cid:1)ds
˜Ti(τ1, τ2), where
i=1
The inequality (34) implies that
(cid:107) ˜T1(τ1, τ2)(cid:107)H0 = (cid:107) ˜A− 1
2 (cid:2) ˜S(τ2 − τ1) − Id(cid:3) ˜S(τ1) ˜A
1
2 θ0(cid:107)H0
≤ C
(cid:12)
(cid:12)τ2 − τ1|
1
2 (cid:107)θ0(cid:107)H1.
Decompose ˜T2(τ1, τ2) = ˜T2,1(τ1, τ2) + ˜T2,2(τ1, τ2), where
˜T2,1(τ1, τ2) = −
˜T2,2(τ1, τ2) = −
(cid:90) τ1
0
(cid:90) τ2
τ1
(cid:2) ˜S(τ2 − τ1) − Id] ˜S(τ1 − s) (cid:0)[u(s).∇]θ(s)(cid:3)ds,
˜S(τ2 − s) (cid:0)[u(s).∇]θ(s)(cid:1)ds.
Let δ ∈ (0, 1
that
2 ); the Minkowski inequality, (33), (34) and (8) applied with α = ρ = 1
2 imply
(cid:107) ˜T2,1(τ1, τ2)(cid:107)H0 ≤
(cid:90) τ1
0
(cid:107) ˜S(τ1 − s) (cid:2) ˜S(τ2 − τ1) − Id(cid:3)(cid:0)[u(s).∇]θ(s)(cid:1)(cid:107)H0 ds
≤
(cid:90) τ1
0
≤ C
(cid:90) τ1
0
1
2 +δ ˜S(τ1 − s)(cid:107)L(H0;H0)(cid:107) ˜A− 1
(cid:107) ˜A
× (cid:107) ˜A−δ(cid:0)[u(s).∇]θ(s)(cid:107)H0 ds
1
(τ1 − s)−( 1
2 (cid:107)A
2 +δ) |τ2 − τ1|
2 [ ˜S(τ2 − τ1) − Id](cid:107)L(H0;H0)
1
2 u(s)(cid:107)V0 (cid:107) ˜A
1
2 θ(s)(cid:107)H0 ds
≤ C|τ2 − τ1|
1
2
(cid:107)A
1
2 u(s)(cid:107)V0
sup
s∈[0,T]
(cid:90) τ1
0
(τ1 − s)−( 1
2 +δ) (cid:107) ˜A
1
2 θ(s)(cid:107)H0 ds.
(cid:1) and let δ ∈ (cid:0)0, 1
Let p1 ∈ (cid:0)2, 2 + (cid:101)
2 − 1
p1
2 + δ)p2 < 1. Thus, Hölder’s inequality for the finite measure (τ1 − s)−( 1
( 1
with exponents 2p and 2p
(cid:1). Let p2 be the conjugate exponent of p1; we have
2 +δ)1[0,τ1)(s)ds
2p−1 , and then, ds with conjugate exponents p1 and p2 imply
4p
(cid:107) ˜T2,1(τ1, τ2)(cid:107)2p
H0 ≤ C
(cid:12)
(cid:12)τ2 − τ1
(cid:12)
(cid:12)
p
1
2 u(s)(cid:107)2p
V0
(cid:90) τ1
0
(τ1 − s)−( 1
2 +δ)(cid:107) ˜A
1
2 θ(s)(cid:107)2p
H0 ds
(cid:107)A
sup
s∈[0,T]
(τ1 − s)−( 1
(cid:110) (cid:90) τ1
×
0
(cid:111)2p−1
2 +δ)ds
≤ C
(cid:12)
(cid:12)τ2 − τ1
(cid:12)
(cid:12)
p
(cid:107)A
1
2 u(s)(cid:107)2p
V0
sup
s∈[0,T]
(cid:110) (cid:90) τ1
×
0
(τ1 − s)−( 1
2 +δ)p2 ds
(cid:107) ˜A
(cid:110) (cid:90) τ1
0
(cid:111) 1
p2 .
1
2 θ(s)(cid:107)2pp1
H0 ds
(cid:111) 1
p1
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Since 2pp1 < 4p + (cid:101)
with the upper estimates (21) and (37), imply that
2 and 2pp2 < 4p, Hölder’s inequality and Fubini’s theorem, together
E(cid:0)(cid:107) ˜T2,1(τ1, τ2)(cid:107)2p
H0
(cid:1) ≤ C
(cid:12)τ2 − τ1|p(cid:110)E(cid:16)
(cid:12)
(cid:107)A
1
2 u(s)(cid:107)2pp2
V0
(cid:17)(cid:111) 1
p2
sup
s∈[0,T]
(cid:110) (cid:90) τ1
×
0
E (cid:0)(cid:107) ˜A
1
2 θ(s)(cid:107)2pp1
H0
(cid:1)ds
(cid:111) 1
p1 ≤ C
(cid:12)
(cid:12)τ2 − τ1|p.
(55)
A similar argument proves that for η ∈ (0, 1),
(cid:107) ˜T2,2(τ1, τ2)(cid:107)H0 ≤
(cid:107) ˜A1−η ˜S(τ2 − s)(cid:107)L(H0;H0)(cid:107) ˜A−(1−η)(cid:0)[u(s).∇]θ(s)(cid:1)(cid:107)H0 ds
(cid:90) τ2
τ1
(cid:90) τ2
≤ C
≤ C
(τ2 − s)−1+η (cid:107)A
τ1
(cid:12)
(cid:12)τ2 − τ1|η sup
s∈[0,T]
1
1
2 u(s)(cid:107)V0 (cid:107) ˜A
(cid:90) τ2
1
2 θ(s)(cid:107)H0 ds
(cid:107)A
2 u(s)(cid:107)V0
(τ2 − s)−1+η (cid:107) ˜A
1
2 θ(s)(cid:107)H0 ds.
τ1
Let η ∈ (cid:0) p
(cid:1) ∨ (cid:0) 8p+(cid:101)
(cid:0) 1
4p+(cid:101)
η
2p−1 , 1(cid:1); for (cid:101) > 0, let p1, p2 ∈ (1, +∞) be conjugate exponents such that
(cid:1) < p1 < 2; then (1 − η)p2 < 1. Hölder’s inequality implies that
(cid:107) ˜T2,2(τ1, τ2)(cid:107)2p
H0 ≤ C
(cid:12)
(cid:12)τ2 − τ1|(2p−1)η sup
s∈[0,T]
(cid:107)A
1
2 u(s)(cid:107)2p
V0
(cid:90) τ2
τ1
(τ2 − s)−1+η (cid:107) ˜A
1
2 θ(s)(cid:107)2p
H0 ds
≤ C
(cid:12)
(cid:12)τ2 − τ1|(2p−1)η sup
s∈[0,T]
(cid:107)A
1
2 u(s)(cid:107)2p
V0
(cid:110) (cid:90) τ2
τ1
(τ2 − s)−(1−η)p2 ds
(cid:111) 1
p2
(cid:110) (cid:90) τ2
×
τ1
(cid:107) ˜A
1
2 θ(s)(cid:107)2pp1
H0
(cid:111) 1
p1 .
ds
Since (2p − 1)η > p, 1
inequality together with the upper estimates (21) and (22) imply that
η < 2; furthermore, 2pp2 < 4p + (cid:101)
2 and 2pp1 ≤ 4p. Hölder’s
E(cid:0)(cid:107) ˜T2,2(τ1, τ2)(cid:107)2p
H0
(cid:1) ≤ C
(cid:12)τ2 − τ1|p (cid:110)E(cid:16)
(cid:12)
(cid:107)A
1
2 u(s)(cid:107)2pp2
V0
(cid:17)(cid:111) 1
p2
sup
s∈[0,T]
(cid:111) 1
p1 ≤ C
(cid:12)
(cid:12)τ2 − τ1|p.
(cid:110) (cid:90) τ2
×
τ1
E(cid:0)(cid:107) ˜A
1
2 θ(s)(cid:107)2pp1
H0
(cid:1)ds
This inequality and (55) yield
E(cid:0)(cid:107) ˜T2(τ1, τ2)(cid:107)2p
H0
(cid:1) ≤ C
(cid:12)
(cid:12)τ2 − τ1|p.
(56)
(57)
Finally, an argument similar to that used to prove (51) and (52), using the growth
condition (16) and (20), implies that
E(cid:0)(cid:107) ˜T3(τ1, τ2)(cid:107)2p
H0
(cid:1) ≤ C
(cid:12)
(cid:12)τ2 − τ1
(cid:12)
(cid:12)
p
.
(58)
The upper estimates (54), (57) and (58) complete the proof of (47).
We next prove some time regularity for the gradient of the velocity and the temperature.
Proposition 5. Let N ≥ 1 be an integer and, for k = 0, · · · , N, set tk = kT
satisfy conditions (C-u) and (C-θ), respectively, and let η ∈ (0, 1).
N , where G and ˜G
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(i) Let p ∈ [2, ∞), u0 ∈ L4p(Ω; V1) and θ0 ∈ L2p(Ω; H0). Then, there exists a positive constant
C (independent of N) such that
E(cid:16)(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
(cid:2)(cid:107)u(s) − u(tj)(cid:107)2
V1 + (cid:107)u(s) − u(tj−1)(cid:107)2
V1
p(cid:17)
(cid:3)ds
(cid:12)
(cid:12)
(cid:12)
≤ C
(cid:16) T
N
(cid:17)η p
(ii) Let p ∈ [2, ∞), u0 ∈ L16p+(cid:101)(Ω; V1) and θ0 ∈ L16p+(cid:101)(Ω; H0) for some (cid:101) > 0. Then,
E(cid:16)(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
(cid:2)(cid:107)θ(s) − θ(tj)(cid:107)2
H1 + (cid:107)θ(s) − θ(tj−1)(cid:107)2
H1
p(cid:17)
(cid:3)ds
(cid:12)
(cid:12)
(cid:12)
≤ C
(cid:16) T
N
(cid:17)η p
(59)
(60)
Proof. (i) For j = 1, ..., N, write the decomposition (48) of u(tj) − u(s) used in the proof
1
of Lemma 4 (that is, τ1 = s, τ2 = tj), and apply A
2 . The upper estimates of the sum of
2 T2(s, tj) obtained in the proof of Lemma 2.2 in [11] imply that, for
terms A
η ∈ (0, 1),
2 T1(s, tj) and A
1
1
E(cid:16)(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
(cid:2)(cid:107)A
1
2 T1(s, tj)(cid:107)2
V0 + (cid:107)A
1
2 T2(s, tj)(cid:107)2
V0
(cid:3)ds
p(cid:17)
(cid:12)
(cid:12)
(cid:12)
≤ C(E((cid:107)u0(cid:107)4p
V1
))
(cid:17)η p
.
(cid:16) T
N
(61)
The Minkowski inequality and the upper estimates (33) and (34) imply, for δ ∈ (0, 1
2 )
(cid:107)A
1
2 T3,1(s, tj)(cid:107)V0 ≤
(cid:90) tj
0
(cid:107)A
1
2 +δS(tj − s)(cid:107)L(V0;V0) (cid:107)A−δ(cid:2)S(tj − s) − Id (cid:3)(cid:107)L(V0;V0)
× (cid:107)Πθ(s)v2(cid:107)V0 ds
≤ C|tj − s|δ sup
s∈[0,tj]
(cid:107)θ(s)(cid:107)H0
(cid:90) tj
0
(t1 − s)−( 1
2 +δ)ds,
Hence, we deduce
(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
(cid:107)A
1
2 T3,1(s, tj)(cid:107)2
V0 ds
p
(cid:12)
(cid:12)
(cid:12)
≤ C
(cid:16) T
N
(cid:17)2pδ
(cid:107)θ(s)(cid:107)2p
H0
sup
s∈[0,T]
(cid:90) tj
tj−1
(cid:12)
(cid:12)
(cid:12)
(cid:90) s
0
(s − r)−( 1
2 +δ)dr
2
(cid:12)
(cid:12)
(cid:12)
p
(cid:12)
(cid:12)
(cid:12)
ds
N
∑
j=1
(cid:17)2pδ
×
(cid:12)
(cid:12)
(cid:12)
≤ C
(cid:16) T
N
(cid:107)θ(s)(cid:107)2p
H0
(cid:12)
(cid:12)
(cid:12)
(cid:90) T
0
s1−2δds
p
(cid:12)
(cid:12)
(cid:12)
≤ C
(cid:16) T
N
(cid:17)2pδ
sup
s∈[0,T]
(cid:107)θ(s)(cid:107)2p
H0.
sup
s∈[0,T]
Using the Minkowski inequality and (33) once more, we obtain
(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
1
(cid:107)A
2 T3,2(s, tj)(cid:107)2
V0 ds
p
(cid:12)
(cid:12)
(cid:12)
≤
(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj+1
tj
(cid:12)
(cid:12)
(cid:12)
(cid:90) tj
s
(cid:107)A
1
2 S(tj − r)Πθ(r)v2(cid:107)V0 dr
2
(cid:12)
(cid:12)
(cid:12)
p
(cid:12)
(cid:12)
(cid:12)
ds
≤ C sup
r∈[0,T]
(cid:107)θ(r)(cid:107)2p
H0
(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
(cid:12)
(cid:12)
(cid:12)
(cid:90) tj
s
(tj − s)− 1
2 dr
2
(cid:12)
(cid:12)
(cid:12)
p
(cid:12)
(cid:12)
(cid:12)
ds
≤ C sup
r∈[0,T]
(cid:107)θ(r)(cid:107)2p
H0
(cid:17)p
.
(cid:16) T
N
The above estimates of T3,1 and T3,2, together with (20), imply, for η ∈ (0, 1), that
E(cid:16)(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
(cid:107)A
1
2 T3(s, tj)(cid:107)2
V0 ds
p(cid:17)
(cid:12)
(cid:12)
(cid:12)
≤ C
(cid:17)η p
.
(cid:16) T
N
(62)
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We next study the stochastic integrals. Using Hölder’s inequality, the Burkholder
inequality, (33), (34) and the growth condition (13) twice, we obtain for δ ∈ (0, 1
2 )
E(cid:16)(cid:12)
(cid:12)
(cid:12)
2 T4,1(s, tj)(cid:107)2
2 T4,1(s, tj)(cid:107)2
≤ N p−1
E(cid:16)(cid:12)
(cid:12)
(cid:12)
V0 ds
V0 ds
(cid:107)A
(cid:107)A
(cid:90) tj
p(cid:17)
p(cid:17)
(cid:12)
(cid:12)
(cid:12)
(cid:12)
(cid:12)
(cid:12)
1
1
N
∑
j=1
tj−1
N
∑
j=1
≤N p−1(cid:16) T
N
≤ CpT p−1
(cid:90) tj
(cid:17)p−1 N
∑
j=1
E(cid:16)(cid:12)
(cid:12)
(cid:12)
(cid:90) tj
tj−1
tj−1
E(cid:16) (cid:90) s
N
∑
j=1
(cid:17)2δp (cid:90) T
E(cid:16)(cid:13)
(cid:13)
(cid:13)
(cid:90) s
0
AδS(s − r)A−δ[S(tj − s) − Id]A
1
2 G(u(r))dW(r)
(cid:13)
(cid:13)
(cid:13)
2p
(cid:17)
V0
ds
(cid:90) s
0
(s − r)−2δ(tj − s)2δ(cid:107)A
1
2 G(u(r))(cid:107)2
L(K,V0)Tr(Q)dr
p(cid:17)
(cid:12)
(cid:12)
(cid:12)
ds
≤ C
≤ C
(cid:16) T
N
(cid:16) T
N
(s − r)−2δ(cid:2)K2 + K3(cid:107)u(r)(cid:107)2
V1
(cid:16) (cid:90) T
(s − r)−2δds
(cid:107)u(r)(cid:107)2p
V1
r
0
0
1 + E(cid:16) (cid:90) T
0
(cid:17)2δp(cid:104)
p(cid:17)
(cid:3)dr
(cid:12)
(cid:12)
(cid:12)
ds
(cid:17)(cid:105)
(cid:17)
dr
≤ C
(cid:17)2δp
,
(cid:16) T
N
(63)
where the last upper estimates are deduced from the Fubini theorem, and from the upper
estimates (19) and (21).
A similar argument proves that
E(cid:16)(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:107)A
1
2 T4,2(s, tj)(cid:107)2
V0 ds
p(cid:17)
(cid:12)
(cid:12)
(cid:12)
≤ T p−1
N
∑
j=1
(cid:90) tj
tj−1
E(cid:16)(cid:13)
(cid:13)
(cid:13)
(cid:90) tj
s
S(tj − s)A
1
2 G(u(r))dW(r)
(cid:13)
(cid:13)
(cid:13)
2p
(cid:17)
V0
ds
≤ Cp T p−1Tr(Q)p
N
∑
j=1
(cid:90) tj
tj−1
E(cid:16)(cid:12)
(cid:12)
(cid:12)
(cid:90) tj
s
(cid:2)K2 + K3(cid:107)u(r)(cid:107)2
V1
(cid:3)dr
p(cid:17)
(cid:12)
(cid:12)
(cid:12)
ds
≤ C
N
∑
j=1
(cid:90) tj
tj−1
(cid:16) T
N
(cid:17)p−1 (cid:90) tj
s
(cid:2)K p
2 + K p
3
E((cid:107)A
1
2 u(r)(cid:107)2p
V0 )(cid:3)drds
≤ C
(cid:16) T
N
(cid:17)p−1 N
∑
j=1
(cid:90) tj
tj−1
(cid:2)K p
2 + K p
3
E((cid:107)A
1
2 u(r)(cid:107)2p
V0 )(cid:3)(cid:16) (cid:90) tj
r
≤ C
(cid:16) T
N
(cid:17)p(cid:104)
1 +
(cid:90) T
0
E((cid:107)A
1
2 u(s)(cid:107)2p
V0 )ds
(cid:105)
≤ C
(cid:17)p
.
(cid:16) T
N
The inequalities (63) and (64) imply that, for η ∈ (0, 1),
E(cid:16)(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
(cid:107)A
1
2 T4(s, tj)(cid:107)2
V0 ds
p(cid:17)
(cid:12)
(cid:12)
(cid:12)
≤ C
(cid:17)η p
.
(cid:16) T
N
(cid:17)
dr
ds
(64)
(65)
The above arguments (61), (62) and (65) prove similar inequalities when replacing
Ti(s, tj) with Ti(tj−1, s) for i = 1, ..., 4 and j = 1, ..., N. Using (46), this concludes the proof
of (59).
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(ii) As above, we apply ˜A
1
θ(tj) − θ(s) introduced in the proof of Proposition 4 (ii). For δ ∈ (0, 1
and (34) imply that
2 to the terms ˜Ti(s, tj), i = 1, 2, 3 of the decomposition (53) of
2 ), the inequalities (33)
(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
(cid:107) ˜A
1
2 ˜S(s)(cid:2) ˜S(τj − s) − Id(cid:3)θ0(cid:107)2
H0
p
(cid:12)
(cid:12)
(cid:12)
≤
(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
(cid:107) ˜Aδ ˜S(s) ˜A−δ(cid:2) ˜S(τj − s) − Id(cid:3) ˜A
1
2 θ0(cid:107)2
H0
p
(cid:12)
(cid:12)
(cid:12)
≤ C
≤ C
Hence, for η ∈ (0, 1),
(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:16) T
N
(cid:90) tj
tj−1
s−2δ(cid:16) T
N
(cid:17)2δ
(cid:107) ˜A
1
2 θ0(cid:107)2
H0 ds
p
(cid:12)
(cid:12)
(cid:12)
(cid:17)2δp
(cid:107) ˜A
1
2 θ0(cid:107)2p
H0
(cid:12)
(cid:12)
(cid:12)
(cid:90) T
0
s−2δds
p
.
(cid:12)
(cid:12)
(cid:12)
E(cid:16)(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
(cid:107) ˜A
1
2 ˜S(s)(cid:2) ˜S(τj − s) − Id(cid:3)θ0(cid:107)2
H0
p(cid:17)
(cid:12)
(cid:12)
(cid:12)
≤ CE(cid:0)(cid:107)θ0(cid:107)2p
H0
(cid:1) (cid:16) T
N
(cid:17)η p
.
(66)
Let β ∈ (0, 1
2 ) and δ ∈ (0, 1
2 − δ). The Minkowski inequality, (33), (34) and (8) applied
with α = ρ = 1
2 imply that, for s ∈ [tj−1, tj],
(cid:13)
(cid:13)
(cid:13)
(cid:90) s
0
˜A
1
2 ˜S(s − r)(cid:2) ˜S(tj − s) − Id(cid:3)(cid:0)[u(r).∇]θ(r)(cid:1)dr
(cid:13)
(cid:13)
(cid:13)H0
(cid:90) s
≤
0
(cid:90) s
0
≤ C
(cid:107) ˜A
1
2 +β+δ ˜S(s − r) ˜A−β(cid:2) ˜S(tj − s) − Id(cid:3) ˜A−δ(cid:0)[u(r).∇]θ(r)(cid:1) (cid:107)H0 dr
(s − r)−( 1
2 +β+δ)(cid:16) T
N
(cid:1)β(cid:107)A
1
2 u(r)(cid:107)V0 (cid:107) ˜A
1
2 θ(r)(cid:107)H0 dr.
Therefore, using the Cauchy–Schwarz inequality and Fubini’s theorem, we obtain
E(cid:16)(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
(cid:107) ˜A
1
2 ˜T2,1(s, tj)(cid:107)2
H0 ds
p(cid:17)
(cid:12)
(cid:12)
(cid:12)
≤ C
(cid:16) T
N
(cid:17)2βp
E(cid:104)
sup
s∈[0,T]
(cid:107)A
1
2 u(s)(cid:107)2p
V0
(cid:12)
(cid:12)
(cid:12)
(cid:16) (cid:90) s
×
(cid:17)2βp
0
E(cid:104)
(s − r)−( 1
2 +β+δ)dr
(cid:17)
ds
(cid:107)A
1
2 u(s)(cid:107)2p
V0
(cid:12)
(cid:12)
(cid:12)
sup
s∈[0,T]
tj
N
∑
j=1
(cid:12)
p(cid:105)
(cid:12)
(cid:12)
(cid:16) (cid:90) T
0
≤ C
≤ C
(cid:16) T
N
(cid:16) T
N
(cid:90) tj+1
(cid:16) (cid:90) s
0
(s − r)−( 1
2 +β+δ)(cid:107) ˜A
(cid:17)
1
2 θ(r)(cid:107)2
H0
1
(cid:107) ˜A
2 θ(r)(cid:107)2
H0 ds
(cid:17)(cid:16) (cid:90) T
r
(s − r)−( 1
2 +β+δ)ds
p(cid:105)
(cid:17)
(cid:12)
(cid:12)
(cid:12)
dr
(cid:17)2βp (cid:110)E(cid:16)
(cid:107)A
1
2 u(s)(cid:107)4p
V0
sup
s∈[0,T]
(cid:17)(cid:111) 1
2 (cid:110) (cid:90) T
0
E(cid:0)(cid:107) ˜A
1
2 θ(r)(cid:107)4p
H0
(cid:1)dr
(cid:111) 1
2
The upper estimates (21) and (37) imply, for η ∈ (0, 1), that
E(cid:16)(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
(cid:107) ˜A
1
2 ˜T2,1(s, tj)(cid:107)2
H0 ds
p(cid:17)
(cid:12)
(cid:12)
(cid:12)
≤ C
(cid:17)η p
.
(cid:16) T
N
(67)
Using the Minkowski inequality, (33) and (8) with α = ρ = 1
obtain, for δ ∈ (0, 1
2 ),
2 , and Fubini’s theorem, we
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(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
(cid:107) ˜A
1
2 ˜T2,2(s, tj)(cid:107)2
H0 ds
p
(cid:12)
(cid:12)
(cid:12)
≤
(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
(cid:12)
(cid:12)
(cid:12)
(cid:90) tj
s
(tj − r)−( 1
2 +δ)(cid:107)A
1
2 u(r)(cid:107)V0 (cid:107) ˜A
1
2 θ(r)(cid:107)H0 dr
2
(cid:12)
(cid:12)
(cid:12)
p
(cid:12)
(cid:12)
(cid:12)
ds
≤ C sup
r∈[0,T]
(cid:107)A
1
2 u(r)(cid:107)2p
V0
(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
(cid:16) (cid:90) tj
tj−1
s
(tj − r)−( 1
2 +δ)(cid:107) ˜A
(cid:16) (cid:90) tj
×
s
(tj − r)−( 1
2 +δ)dr
(cid:17)
p
(cid:12)
(cid:12)
(cid:12)
ds
1
2 θ(s)(cid:107)2
H0 dr
≤ C sup
r∈[0,T]
(cid:107)A
1
2 u(r)(cid:107)2p
V0
≤ C sup
r∈[0,T]
(cid:107)A
1
2 u(r)(cid:107)2p
V0
(cid:90) tj
tj−1
(cid:17)p (cid:90) T
(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:16) T
N
0
(cid:107) ˜A
1
2 θ(r)(cid:107)2
H0
(cid:16) (cid:90) tj
r
(cid:17)
p
(cid:12)
(cid:12)
(cid:12)
dr
ds
(cid:107) ˜A
1
2 θ(s)(cid:107)2p
H0 dr
Using the Cauchy–Schwarz inequality, (21) and (37), we obtain
E(cid:16)(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
(cid:107) ˜A
1
2 ˜T2,2(s, tj)(cid:107)2
H0 ds
p(cid:17)
(cid:12)
(cid:12)
(cid:12)
≤ C
(cid:17)p
.
(cid:16) T
N
Finally, arguments similar to those used to prove (65) imply, for η ∈ (0, 1), that
E(cid:16)(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
(cid:107) ˜A
1
2 ˜T3(s, tj)(cid:107)2
V0 ds
p(cid:17)
(cid:12)
(cid:12)
(cid:12)
≤ C
(cid:17)η p
.
(cid:16) T
N
(cid:17)
(68)
(69)
The upper estimates (66)–(69) conclude the proof of
E(cid:16)(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
(cid:107) ˜A
1
2 (cid:2)θ(tj) − θ(s)(cid:3)(cid:107)2
H0 ds
p(cid:17)
(cid:12)
(cid:12)
(cid:12)
≤ C
(cid:16) T
N
(cid:17)η p
,
η ∈ (0, 1).
Using (47), a similar argument completes the proof of (60).
6. The Implicit Time Euler Scheme
We first prove the existence of the fully time-implicit time Euler scheme {uk; k =
lW := W(tl) − W(tl−1)
0, 1, ..., N} and {θk; k = 0, 1, ..., N} defined by (17) and (18). Set ∆
and ∆
l ˜W = ˜W(tl) − ˜W(tl−1), l = 1, ..., N.
6.1. Existence of the Scheme
Proof of Proposition 3. The proof is divided into two steps.
Step 1 For technical reasons, we consider a Galerkin approximation. Let {el}l denote an
orthonormal basis of V0 made of elements of V2 that are orthogonal in V1 (resp., let { ˜el}l
denote an orthonormal basis of H0 made of elements of H2 that are orthogonal in H1).
For m = 1, 2, ..., let Vm = span (e1, . . . , em) ⊂ V2 and let Pm : V0 → Vm denote the
projection from V0 to Vm. Similarly, let ˜Hm = span ( ˜e1, ..., ˜em) ⊂ H2 and let ˜Pm : H0 → ˜Hm
denote the projection from H0 to ˜Hm.
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In order to find a solution to (17) and (18), we project these equations onto Vm and ˜Hm,
respectively, which we define by induction as {uk(m)}k=0,...,N ∈ Vm and {θk(m)}k=0,...,N ∈
˜Hm such that u0(m) = Pm(u0), θ0(m) = ˜Pm(θ0), and, for k = 1, ..., N, ϕ ∈ Vm and ψ ∈ ˜Hm,
(cid:0)uk(m) − uk−1(m), ϕ(cid:1) + h
(cid:104)
ν(cid:0)A
1
2 uk(m), A
1
2 ϕ) + (cid:10)B(cid:0)uk(m), uk(m)(cid:1), ϕ(cid:11)
= h(cid:0)Πθk−1v2, ϕ(cid:1) + (cid:0)G(uk−1(m))∆
kW , ϕ(cid:1)
(cid:0)θk(m) − θk−1(m), ψ(cid:1) + h
(cid:104)
1
1
κ(cid:0) ˜A
2 θk(m), ˜A
= (cid:0) ˜G(θk−1(m))∆
2 ψ) + (cid:10)[uk−1k(m).∇]θk(m)(cid:1), ψ(cid:11)
k ˜W , ψ(cid:1)
(70)
(71)
For almost every ω set, R(0, ω) = (cid:107)u0(ω)(cid:107)V0 and ˜R(0, ω) = (cid:107)θ0(ω)(cid:107)H0. Fix k = 1, ..., N
and suppose that, for j = 0, . . . , k − 1, the Ftj - measurable random variables uj(m)and
θ j(m) have been defined, and that
R(j, ω) := sup
m≥1
(cid:107)uj(m, ω)(cid:107)L2 < ∞ and
˜R(j, ω) := sup
m≥1
(cid:107)θ j(m, ω)(cid:107)L2 < ∞
for almost every ω. We prove that uk(m) and θk(m) exist and satisfy supm≥1 (cid:107)uk(m, ω)(cid:107)V0 <
∞ and supm≥1 (cid:107)θk(m, ω)(cid:107)H0 < ∞ a.s.
For ω ∈ Ω, let Φk
m,ω : Vm → Vm (resp., ˜Φk
m,ω) be defined for f ∈ Vm (resp., for ˜f ∈ ˜Hm)
as the solution of
(cid:104)
ν(cid:0)A
1
2 f , A
(cid:0)Φk
m,ω( f ), ϕ(cid:1) = (cid:0) f − uk−1(m, ω), ϕ(cid:1) + h
− (cid:0)Πθk−1(m)v2, ϕ(cid:1)(cid:105)
m,ω( ˜f ), ψ(cid:1) = (cid:0) ˜f − θk−1(m, ω), ψ(cid:1) + h
− (cid:0) ˜Pm ˜G(θk−1(m, ω))∆
1
κ(cid:0) ˜A
2 ˜f , ˜A
k ˜W(ω), ψ(cid:1),
− (cid:0)PmG(uk−1(m, ω))∆
(cid:104)
1
(cid:0) ˜Φk
∀ψ ∈ ˜Hm.
2 ψ(cid:1) + (cid:10)[uk−1(m). ˜A
1
2 ] ˜f ], ψ(cid:11)
1
2 ϕ(cid:1) + (cid:10)PmB( f , f ), ϕ(cid:11)
kW(ω), ϕ(cid:1),
∀ϕ ∈ Vm,
Then, the Cauchy–Schwarz and Young inequalities imply
(cid:12)
(cid:12)
(cid:0)uk−1(m, ω), f (cid:1)(cid:12)
(cid:12) ≤
(cid:12)
(cid:12)
(cid:0)θk−1(m, ω), ˜f (cid:1)(cid:12)
(cid:12) ≤
(cid:12)
(cid:12)
(cid:0)Πθk−1(m, ω), f (cid:1)(cid:12)
(cid:12) ≤
(cid:12)
(cid:12)
(cid:0)G(uk−1(m, ω))∆
kW, f (cid:1) ≤
≤
(cid:12)
(cid:12)
(cid:0) ˜G(θk−1(m, ω))∆
k ˜W, ˜f (cid:1) ≤
≤
1
4
1
4
1
4
1
4
1
4
1
4
1
4
(cid:107) f (cid:107)2
V0 + (cid:107)uk−1(m, ω)(cid:107)2
V0,
(cid:107) ˜f (cid:107)2
H0 + (cid:107)θk−1(m, ω)(cid:107)2
H0,
(cid:107) f (cid:107)2
V0 + (cid:107)θk−1(m, ω)(cid:107)2
H0,
kW(cid:107)2
K
(cid:107) f (cid:107)2
L(K,V0)(cid:107)∆
(cid:3)(cid:107)∆
V0
V0 + (cid:107)G(uk−1(m, ω))(cid:107)2
V0 + (cid:2)K0 + K1(cid:107)uk−1(m, ω)(cid:107)2
H0 + (cid:107) ˜G(θk−1(m, ω))(cid:107)2
H0 + (cid:2) ˜K0 + ˜K1(cid:107)uk−1(m, ω)(cid:107)2
(cid:107) f (cid:107)2
(cid:107) ˜f (cid:107)2
(cid:107) ˜f (cid:107)2
L( ˜K,H0)(cid:107)∆
k ˜W(cid:107)2
K
(cid:3)(cid:107)∆
k ˜W(cid:107)2
˜K.
H0
kW(cid:107)2
K,
If
(cid:107) f (cid:107)2
V0 = R2(k, ω) := 4
(cid:107) ˜f (cid:107)2
H0 = ˜R2(k, ω) := 2
(cid:104)
(cid:104)
R2(k − 1, ω) + (cid:0)h ˜R(k − 1, ω)(cid:1)2
+ (cid:2)K0 + K1 R2(k − 1, ω)(cid:3)(cid:107)∆
kW(ω)(cid:107)2
K
˜R2(k − 1, ω) + (cid:0) ˜K0 + ˜K1 ˜R2(k − 1, ω)(cid:1)(cid:107)∆
(cid:17)(cid:105)
,
k ˜W(ω)(cid:107)2
˜K
(cid:105)
,
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we deduce
(cid:0)Φk
m,ω( f ), f (cid:1) ≥
(cid:0) ˜Φk
m,ω( f ), ˜f (cid:1) ≥
1
4
1
2
1
2 f (cid:107)2
V0 − h2(cid:107)θk−1(m, ω)(cid:107)2
H0
L2 + hν(cid:107)A
(cid:3)(cid:107)∆
L2 − (cid:107)uk−1(m, ω)(cid:107)2
(cid:107) f (cid:107)2
− (cid:2)K0 + K1(cid:107)uk−1(m, ω)(cid:107)2
V0
H0 − (cid:107)θk−1(m, ω)(cid:107)2
(cid:107) ˜f (cid:107)2
H0 + h(cid:107) ˜A
(cid:3)(cid:107)∆
− (cid:2) ˜K0 + ˜K1(cid:107)θk−1(m, ω)(cid:107)2
H0
kW(ω)(cid:107)2
K ≥ 0
1
2 ˜f (cid:107)2
H0
k ˜W(ω)(cid:107)2
˜K
≥ 0.
Using ([16], Cor 1.1) page 279, which can be deduced from Brouwer’s theorem, we
deduce the existence of an element uk(m, ω) ∈ V(m) (resp., θk(m, ω) ∈ ˜H(m)), such that
Φk(m, ω)(uk(m, ω)) = 0 (resp., ˜Φk(m, ω)(θk(m, ω)) = 0) and (cid:107)uk(m, ω)(cid:107)2
V0 ≤ R2(k, ω)
(resp., (cid:107)θk(m, ω)(cid:107)H0 ≤ ˜R2(k, ω)) a.s. Note that these elements uk(m, ω) and θk(m, ω) need
not be unique. Furthermore, the random variables uk(m) and θk(ω) are Ftk -measurable.
The definition of uk(m) (resp., θk(m)) implies that it is a solution to (70) (resp., (71)).
Taking ϕ = uk(m) in (70), using the antisymmetry property (3) and the Young inequality,
we obtain
(cid:107)uk(m)(cid:107)2
V0 + h ν(cid:107)A
+ (cid:0)G(uk−1(m)∆
kW, uk(m)(cid:1)
V0 + (cid:107)uk−1(m)(cid:107)2
(cid:107)uk(m)(cid:107)2
≤
3
4
Hence, a.s.,
1
2 uk(m)(cid:107)2
V0 = (cid:0)uk−1(m), uk(m)(cid:1) + h (cid:0)Πθk−1(m)v2, uk(m)(cid:1)
V0 + (cid:107)θk−1(m)(cid:107)2
H0 + (cid:2)K0 + K1(cid:107)uk−1(m)(cid:107)2
V0
(cid:3)(cid:107)∆
kW(cid:107)2
K.
(cid:104) 1
4
sup
m≥1
(cid:107)uk(m, ω)(cid:107)2
V0 + h ν(cid:107)A
1
2 uk(m, ω)(cid:107)2
V0
(cid:105)
≤ R2(k − 1, ω) + ˜R2(k − 1, ω)
+ (cid:2)K0 + K1R2(k − 1, ω)(cid:3)(cid:107)∆
kW(ω)(cid:107)2
K.
A similar computation using ψ = θk(m) in (71) implies that
(cid:104) 1
2
sup
m≥1
(cid:107)θk(m, ω)(cid:107)2
H0 + h κ(cid:107) ˜A
1
2 θk(m, ω)(cid:107)2
H0
(cid:105)
≤ ˜R2(k − 1) + (cid:2) ˜K0 + ˜K1 ˜R2(k − 1)(cid:3)(cid:107)∆
k ˜W(cid:107) ˜K.
Therefore, for fixed k and almost every ω, the sequence {uk(m, ω)}m is bounded in
V1; it has a sub-sequence (still denoted as {uk(m, ω)}m) that converges weakly in V1 to
φk(ω). The random variable φk is Ftk -measurable. Similarly, for fixed k and almost every
ω, the sequence {θk(m, ω)}m is bounded in H1; it has a sub-sequence (still denoted as
{θk(m, ω)}m) that converges weakly in H1 to ˜φk(ω), which is Ftk -measurable.
Since D is bounded, the embedding of V1 in V0 (resp., of H1 in H0) is compact; hence,
the sub-sequence {uk(m, ω)}m converges strongly to φk(ω) in V0 (resp., {θk(m, ω)}m con-
verges strongly to ˜φk(ω) in H0).
Step 2 We next prove that the pair (φk, ˜φk) is a solution to (17) and (18). By definition,
u0(m) converges strongly to u0 in V0, and θ0(m) converges strongly to θ0 in H0. We next
prove by induction on k that the pair (φk, ˜φk) solves (17) and (18). Fix a positive integer m0
and consider the Equation (70) for k = 1, . . . , N, ϕ ∈ Vm0 and m ≥ m0. As m → ∞, we have,
a.s.,
(cid:0)uk(m) − uk−1(m), ϕ) → (cid:0)φk − φk−1, ϕ),
(cid:0)Πθk−1(m)v2, ϕ(cid:1) = (cid:0)θk−1(m)v2, ϕ(cid:1) → (cid:0) ˜φkv2, ϕ).
(cid:0)A
1
2 uk(m), A
1
2 φ(cid:1) → (cid:0)A
1
2 φk, A
1
2 φ(cid:1),
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Furthermore, the antisymmetry of B (3) and the Gagliardo–Nirenberg inequality (6)
yield, a.s.,
(cid:12)
(cid:12)
(cid:10)B(cid:0)uk(m), uk(m)(cid:1) − B(φk, φk), ϕ(cid:11)(cid:12)
(cid:12)
(cid:10)B(cid:0)uk(m) − φk, ϕ(cid:1), uk(m)(cid:11)(cid:12)
2 ϕ(cid:107)V0 (cid:107)uk(m) − φk(cid:107)L4
≤ (cid:107)A
≤ (cid:12)
(cid:12)
1
(cid:12) + (cid:12)
(cid:12)
(cid:10)B(cid:0)φk, ϕ(cid:1), uk(m) − φk(cid:11)(cid:12)
(cid:12)
(cid:2)(cid:107)uk(m)(cid:107)L4 + (cid:107)φk(cid:107)L4
(cid:3)](cid:107)A
1
(cid:3)
2 uk(m) − φk(cid:107)
(cid:107)uk(m)(cid:107)V1 + (cid:107)φk(cid:107)V1
≤ C (cid:107)ϕ(cid:107)V0
(cid:2) max
m
as m → ∞.
1
2
V0 (cid:107)uk(m) − φk(cid:107)
1
2
V0 → 0
Finally, the Cauchy–Schwarz inequality and the Lipschitz condition (12) imply that
(cid:12)
(cid:12)
(cid:0)(cid:2)G(cid:0)uk−1(m)(cid:1) − G(cid:0)φk−1(cid:1)(cid:3)∆
kW, ϕ(cid:1)(cid:12)
(cid:12) ≤ (cid:107)ϕ(cid:107)V0 (cid:107)G(uk−1(m) − G(φk−1)(cid:107)L(K;V0)(cid:107)∆
≤ (cid:112)
L1 (cid:107)ϕ(cid:107)L2 (cid:107)uk−1(m) − φk−1(cid:107)L2 (cid:107)∆
kW(cid:107)K
kW(cid:107)K → 0
as m → ∞. Therefore, letting m → ∞ in (70), we deduce that
(cid:16)
φk − φk−1 + hνAφk + hB(cid:0)φk, φk(cid:1), ϕ
(cid:17)
= (cid:0)Πθk−1v2, ϕ(cid:1) + (cid:0)G(φk−1)∆
kW , ϕ),
∀ϕ ∈ Vm0.
Since ∪m0 Vm0 is dense in V, we deduce that {φk}k=0,...,N is a solution to (17). A similar
argument proves that ˜φk is a solution to (18). This concludes the proof.
6.2. Moments of the Euler Scheme
We next prove the upper bounds of moments of uk and θk uniformly in k = 1, . . . , N.
Proposition 6. Let G and ˜G satisfy the condition (C-u)(i) and (C-θ)(i), respectively. Let K ≥ 1
be an integer, and let u0 ∈ L2K (Ω; V0) and θ0 ∈ L2K (Ω; H0), respectively. Let {uk}k=0,...,N and
{θk}k=0,...,N be the solution of (17) and (18), respectively. Then,
E(cid:16)
sup
N≥1
max
0≤L≤N
(cid:107)uL(cid:107)2K
V0 + max
0≤L≤N
(cid:107)θL(cid:107)2K
H0
(cid:17)
< ∞
E(cid:16)
h
N
∑
l=1
sup
N≥1
(cid:107)A
1
2 ul(cid:107)2
V0 (cid:107)ul(cid:107)2K−2
V0 + h
N
∑
l=1
(cid:107) ˜A
1
2 θl(cid:107)2
H0 (cid:107)θl(cid:107)2K−2
H0 < ∞,
(72)
(73)
Proof. Write (17) with ϕ = ul, (18) with ψ = θl and use the identity ( f , f − g) = 1
2
(cid:107)g(cid:107)2
(3) and the growth condition (11) yields, for l = 1, . . . , N,
(cid:2)(cid:107) f (cid:107)L2 −
(cid:3). Using the Cauchy–Schwarz and Young inequalities, the antisymmetry
L2 + (cid:107) f − g(cid:107)2
L2
1
2
1
2
(cid:2)(cid:107)ul(cid:107)2
V0 − (cid:107)ul−1(cid:107)2
(cid:2)(cid:107)θl(cid:107)2
H0 − (cid:107)θl−1(cid:107)2
1
(cid:3) + hν(cid:107)A
V0 + (cid:107)ul − ul−1(cid:107)2
2 ul(cid:107)2
V0
V0
= h(Πθl−1e2, ul) + (cid:0)G(ul−1)∆
lW, ul),
H0 = (cid:0) ˜G(θl−1)∆
2 θl(cid:107)2
H0 + (cid:107)θl − θl−1(cid:107)2
H0
(cid:3) + hκ(cid:107) ˜A
1
(74)
(75)
l ˜W, θl).
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Fix L = 1, ..., N and add both equalities for l = 1, ..., L; this yields
(cid:2)(cid:107)uL(cid:107)2
V0 − (cid:107)u0(cid:107)2
V0 + (cid:107)θL(cid:107)2
H0 − (cid:107)θ0(cid:107)2
H0
1
2
(cid:3) +
1
2
(cid:104) L
∑
l=1
(cid:107)ul − ul−1(cid:107)2
V0 +
(cid:107)θl − θl−1(cid:107)2
H0
(cid:105)
L
∑
l=1
+ h
L
∑
l=1
L
∑
l=1
L
∑
l=1
+
+
(cid:2)ν(cid:107)A
1
2 ul(cid:107)2
V0 + κ(cid:107) ˜A
1
2 θl(cid:107)2
H0
(cid:3) ≤
h
2
L−1
∑
l=0
(cid:107)θl(cid:107)2
H0
+ h
(cid:2)(cid:107)G(ul−1)(cid:107)2
L(K;V0)(cid:107)∆
(cid:2)(cid:107) ˜G(θl−1)(cid:107)2
L( ˜K;H0)(cid:107)∆
lW(cid:107)2
K +
l ˜W(cid:107)2
˜K
+
1
4
1
4
(cid:107)ul − ul−1(cid:107)2
V0
(cid:3) +
(cid:107)θl − θl−1(cid:107)2
H0
(cid:3) +
L−1
∑
l=1
L
∑
l=1
L
∑
l=1
(cid:107)ul(cid:107)2
V0 + h(cid:107)uL(cid:107)2
V0
(cid:0)G(ul−1)∆
lW, ul−1(cid:1)
(cid:0) ˜G(θl−1)∆
l ˜W, θl−1(cid:1).
(76)
Let N be large enough to have h = T
N ≤ 1
8 . Taking the expected values, we obtain
E(cid:16)
(cid:107)uL(cid:107)2
V0 + (cid:107)θL(cid:107)2
H0 +
1
2
L
∑
l=1
(cid:2)(cid:107)ul − ul−1(cid:107)2
V0 + (cid:107)θl − θl−1(cid:107)2
V0
(cid:3)
+ 2h
(cid:2)ν(cid:107)A
N
∑
l=1
1
2 ul(cid:107)2
V0 + κ(cid:107) ˜A
(cid:3)(cid:17)
1
2 θl(cid:107)2
H0
≤ E(cid:0)(cid:107)u0(cid:107)2
V0 + (cid:107)θ0(cid:107)2
H0
(cid:1) + 2T(cid:2)K0Tr(Q) + ˜K0Tr( ˜Q)(cid:3)
+ h(cid:2)4 + 2 max(K1Tr(Q), ˜K1Tr( ˜Q)(cid:3)
L−1
∑
l=0
E(cid:0)(cid:107)ul(cid:107)2
V0 + (cid:107)θl(cid:107)2
H0
(cid:1).
Neglecting both sums in the left hand side and using the discrete Gronwall lemma, we
deduce that
E(cid:0)(cid:107)uL(cid:107)2
V0 + (cid:107)θL(cid:107)2
H0
(cid:1) ≤ C,
(77)
sup
1≤L≤N
where
(cid:16)
C =
2E(cid:0)(cid:107)u0(cid:107)2
V0 + (cid:107)θ0(cid:107)2
H0
(cid:1) + 2T(cid:2)K0Tr(Q) + ˜K0Tr( ˜Q)(cid:3)(cid:17)
eT
(cid:2)
4+2 max(K1Tr(Q), ˜K1Tr( ˜Q)(cid:3)
is independent of N. This implies
E(cid:16) N
∑
l=1
sup
N≥1
(cid:2)(cid:107)Aul(cid:107)2
V0 + (cid:107) ˜Aθl(cid:107)2
H0
(cid:3) + (cid:107)ul − ul−1(cid:107)2
V0 + (cid:107)θl − θl−1(cid:107)2
H0;
(cid:17)
< ∞,
which proves (73) for K = 1. For s ∈ [tj, tj+1), j = 0, . . . , N − 1, and set s = tj. The Davis
inequality, and then the Cauchy-Schwarz and Young inequalities, imply that for any (cid:101) > 0,
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E(cid:16)
max
1≤L≤N
L
∑
l=1
(cid:2)(cid:0)G(ul−1))∆
lW, ul−1(cid:1) + (cid:0) ˜G(θl−1∆
l ˜W, θl−1(cid:1)(cid:3)(cid:17)
≤ E(cid:16)
(cid:90) t
0
sup
t∈[0,T]
(cid:0)G(us)dW(s), us(cid:1)(cid:17)
+ E(cid:16)
(cid:90) t
0
sup
t∈[0,T]
(cid:0) ˜G(θs)d ˜W(s), θs(cid:1)(cid:17)
0
(cid:90) T
≤ 3E(cid:16)(cid:12)
(cid:12)
(cid:12)
+ 3E(cid:16)(cid:12)
(cid:12)
(cid:12)
2 E(cid:104)
≤ 3Tr(Q)
1
(cid:90) T
0
(cid:107)G(us)(cid:107)2
L(K;V0)(cid:107)us(cid:107)2
V0Tr(Q)ds
1
2 (cid:17)
(cid:12)
(cid:12)
(cid:12)
(cid:107) ˜G(θs)(cid:107)2
L( ˜K;H0)(cid:107)θs(cid:107)2
H0Tr( ˜Q)ds
1
2 (cid:17)
(cid:12)
(cid:12)
(cid:12)
(cid:107)ul(cid:107)V0
(cid:16)
h
max
1≤l≤N
[K0 + K1(cid:107)ul−1(cid:107)2
V0
(cid:3)(cid:17) 1
2 (cid:105)
N
∑
l=0
(cid:16)
+ 3Tr( ˜Q)
1
2 E(cid:104)
max
1≤l≤N
(cid:107)θl(cid:107)H0
h
[ ˜K0 + ˜K1(cid:107)θl−1(cid:107)2
H0
(cid:3)(cid:17) 1
2 (cid:105)
N
∑
l=0
≤ (cid:101)E(cid:16)
max
1≤l≤N
(cid:107)ul(cid:107)2
V0
(cid:17)
+ E(cid:0)(cid:107)u0(cid:107)2
V0 ) +
9
4(cid:101)
Tr(Q) h
N
∑
l=1
(cid:2)K0 + K1
E((cid:107)ul−1(cid:107)2
V0 )(cid:3)
+ (cid:101)E(cid:16)
max
1≤l≤N
(cid:107)θl(cid:107)2
H0
(cid:17)
+ E(cid:0)(cid:107)θ0(cid:107)2
H0 ) +
9
4(cid:101)
Tr( ˜Q) h
N
∑
l=1
(cid:2) ˜K0 + ˜K1
E((cid:107)θl−1(cid:107)2
H0 )(cid:3).
(78)
Taking the maximum over L in (76) and using (78), we deduce
E(cid:16)
max
1≤L≤N
(cid:2)(cid:107)ul(cid:107)2
V0 + θl(cid:107)2
H0
(cid:3)(cid:17)
≤ 2E(cid:0)(cid:107)u(cid:107)2
V0 + (cid:107)θ0(cid:107)2
H0
(cid:1) + h
(cid:0)(cid:107)θl−1(cid:107)2
H0 + (cid:107)ul−1(cid:107)2
V0
(cid:1)
N
∑
l=1
(cid:2)K0 + K1
E((cid:107)ul−1(cid:107)2
V0 )(cid:3)
+ 2(cid:101)E(cid:16)
max
1≤L≤N
(cid:2)(cid:107)ul(cid:107)2
V0 + (cid:107)θL(cid:107)2
H0
(cid:3)(cid:17)
+
9
4(cid:101)
Tr(Q) h
N
∑
l=1
+
9
4(cid:101)
Tr( ˜Q) h
N
∑
l=1
(cid:2) ˜K0 + ˜K1
E((cid:107)θl−1(cid:107)2
H0 )(cid:3).
For (cid:101) = 1
4 , (77) proves that
(cid:104)E(cid:16)
sup
N≥1
sup
1≤L≤N
(cid:107)uL(cid:107)2
V0
(cid:17)
+ E(cid:16)
sup
1≤L≤N
(cid:107)θL(cid:107)2
H0
(cid:17)(cid:105)
< ∞,
which proves (72) for K = 1.
We next prove (72) and (73) by induction on K. Multiply (74) by (cid:107)ul(cid:107)2
H0. Using the identity a(a − b) = 1
by (cid:107)θl(cid:107)2
H0) and b = (cid:107)ul−1(cid:107)2
a = (cid:107)θl(cid:107)2
(cid:104)
1
V0 − (cid:107)ul−1(cid:107)4
(cid:107)ul(cid:107)4
4
+ (cid:12)
(cid:12)(cid:107)θl(cid:107)2
V0 (resp., b = (cid:107)θk−1(cid:107)2
V0 + (cid:12)
V0 − (cid:107)ul−1(cid:107)2
V0
2(cid:105)
(cid:12)
H0 − (cid:107)θl−1(cid:107)2
(cid:12)
H0
(cid:12)(cid:107)ul(cid:107)2
2
V0 and (75)
V0 (resp.,
(cid:2)a2 − b2 + |a − b|2(cid:3) for a = (cid:107)ul(cid:107)2
H0), we deduce, for l = 1, . . . , N, that
H0 − (cid:107)θl−1(cid:107)4
H0
2 + (cid:107)θl(cid:107)4
(cid:12)
(cid:12)
+
1
2
(cid:2)(cid:107)ul − ul−1(cid:107)2
V0
(cid:107)ul(cid:107)2
V0 + (cid:107)θl − θl−1(cid:107)2
H0 (cid:107)θl(cid:107)2
H0
(cid:3) + hν(cid:107)A
1
2 ul(cid:107)2
V0 (cid:107)ul(cid:107)2
V0
+ hκ(cid:107) ˜A
where
1
2 θl(cid:107)2
H0 (cid:107)θl(cid:107)2
H0 = h(cid:0)Πθl−1v2, ul(cid:1)(cid:107)ul−1(cid:107)2
V0 +
4
∑
i=1
Ti(l),
(79)
T1(l) =(cid:0)G(ul−1)∆
T3(l) =(cid:0) ˜G(θl−1)∆
lW, ul−1(cid:1)(cid:107)ul(cid:107)2
V0,
l ˜W, θl−1(cid:1)(cid:107)θl−1(cid:107)2
H0,
T2(l) = (cid:0)G(ul−1)∆
T4(l) = (cid:0) ˜G(θl−1)∆
lW, ul − ul−1(cid:1)(cid:107)ul(cid:107)2
l ˜W, θl − θl−1(cid:1)(cid:107)θl(cid:107)2
V0,
H0.
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The Cauchy–Schwarz and Young inequalities imply that
(cid:0)Πθl−1v2, ul(cid:1)(cid:107)ul(cid:107)2
V0 ≤ (cid:107)θl−1(cid:107)H0 (cid:107)ul(cid:107)3
V0 ≤
1
4
(cid:107)θl−1(cid:107)4
H0 +
3
4
(cid:107)ul(cid:107)4
V0.
(80)
Using once more the Cauchy–Schwarz and Young inequalities, we deduce that for (cid:101), ¯(cid:101) > 0,
|T2(l)| ≤ (cid:107)G(ul−1)(cid:107)L(K;V0)(cid:107)ul − ul−1(cid:107)2
V0 (cid:107)ul(cid:107)2
V0
≤ (cid:101)(cid:107)ul − ul−1(cid:107)2
+
1
4(cid:101)
(cid:107)G(ul−1)(cid:107)2
V0 (cid:107)ul(cid:107)2
V0
L(K;V0)(cid:107)∆
≤ (cid:101)(cid:107)ul − ul−1(cid:107)2
V0 (cid:107)ul(cid:107)2
(cid:107)G(ul−1)(cid:107)2
lW(cid:107)2
K(cid:107)ul−1(cid:107)2
V0
(cid:2)(cid:107)ul−1(cid:107)2
V0 + (cid:0)(cid:107)ul(cid:107)2
L(K;V0)(cid:107)∆
V0 − (cid:107)ul−1(cid:107)2
V0
(cid:1)(cid:3)
lW(cid:107)2
K
1
4(cid:101)
2 +
V0 +
(cid:12)
(cid:12)
+ ¯(cid:101)
(cid:12)
(cid:12)(cid:107)ul(cid:107)2
V0 − (cid:107)ul−1(cid:107)2
V0
1
16(cid:101)2
1
4 ¯(cid:101)
(cid:107)G(ul−1)(cid:107)4
L(K;V0)(cid:107)∆
lW(cid:107)4
K.
(81)
A similar argument proves, for (cid:101), ¯(cid:101) > 0, that
|T4(l)| ≤ (cid:101)(cid:107)θl − θl−1(cid:107)2
H0 (cid:107)θl(cid:107)2
H0 +
(cid:107) ˜G(θl−1)(cid:107)2
l ˜W(cid:107)2
˜K
(cid:107)θl−1(cid:107)2
H0
+ ¯(cid:101)
(cid:12)
(cid:12)(cid:107)θl(cid:107)2
H0 − (cid:107)θl−1(cid:107)2
H0
L( ˜K;H0)(cid:107)∆
l ˜W(cid:107)4
˜K.
(82)
1
4(cid:101)
(cid:12)
2 +
(cid:12)
L( ˜K;H0)(cid:107)∆
(cid:107) ˜G(θl−1)(cid:107)4
1
16(cid:101)2
1
4 ¯(cid:101)
A similar argument shows, for ¯(cid:101) > 0, that
lW(cid:107)V0 (cid:107)ul−1(cid:107)3
V0
|T1(l)| ≤ (cid:107)G(ul−1)∆
+ (cid:107)G(ul−1)∆
≤
1
4
(cid:107)G(ul−1)(cid:107)4
L(K;V0)(cid:107)∆
+
1
4 ¯(cid:101)
(cid:107)G(ul−1)(cid:107)2
lW(cid:107)V0 (cid:107)ul−1(cid:107)V0
3
lW(cid:107)4
4
lW(cid:107)2
L(K;V0)(cid:107)∆
K +
K(cid:107)ul−1(cid:107)2
V0,
(cid:2)(cid:107)ul(cid:107)2
(cid:107)ul−1(cid:107)4
(cid:3)
V0 − (cid:107)ul−1(cid:107)2
V0
(cid:12)
(cid:12)(cid:107)ul(cid:107)2
V0 + ¯(cid:101)
V0 − (cid:107)ul−1(cid:107)V0 (cid:107)2(cid:12)
(cid:12)
2
(83)
and
|T3(l)| ≤
1
4
(cid:107) ˜G(θl−1)(cid:107)4
L( ˜K;H0)(cid:107)∆
l ˜W(cid:107)4
K +
(cid:107)θl−1(cid:107)4
H0 + ¯(cid:101)
(cid:12)
(cid:12)(cid:107)θl(cid:107)2
H0 − (cid:107)θl−1(cid:107)H0 (cid:107)2(cid:12)
(cid:12)
2
+
1
4 ¯(cid:101)
(cid:107) ˜G(θl−1)(cid:107)2
L( ˜K;H0)(cid:107)∆
(cid:107)θl−1(cid:107)2
H0.
(84)
3
4
l ˜W(cid:107)2
˜K
Add the inequalities (79)–(84) for l = 1 to L ≤ N, choose (cid:101) = 1
growth conditions (11) and (14). This yields
4 and ¯(cid:101) = 1
16 and use the
(cid:107)uL(cid:107)4
V0 + (cid:107)θL(cid:107)4
1
2
H0 +
L
∑
l=1
H0 − θl−1(cid:107)2
H0
(cid:2)ν(cid:107)A
2 ul(cid:107)2
1
+ (cid:12)
(cid:12)(cid:107)θl(cid:107)2
L
∑
l=1
+ 4h
(cid:2)(cid:12)
(cid:12)(cid:107)ul(cid:107)2
V0 − (cid:107)ul−1(cid:107)2
V0
(cid:12)
(cid:12)
2 + (cid:107)ul − ul−1(cid:107)2
V0 (cid:107)ul(cid:107)2
V0
(cid:12)
(cid:12)
2 + (cid:107)θl − θl−1(cid:107)2
H0 (cid:107)θl(cid:107)2
H0
(cid:3)
V0 (cid:107)ul(cid:107)2
V0 + κ(cid:107) ˜A
1
2 θl(cid:107)2
H0 (cid:107)θl(cid:107)2
H0
(cid:3)
≤(cid:107)u0(cid:107)4
V0 + (cid:107)θ0(cid:107)4
H0 +
1
4
h
L−1
∑
l=0
(cid:107)θl(cid:107)4
H0 +
3
4
h
L
∑
l=1
(cid:107)ul(cid:107)4
V0
+ C
+ C
L
∑
l=0
L
∑
l=0
(cid:16)(cid:2)K0 + K1(cid:107)ul−1(cid:107)2
V0
(cid:3)(cid:107)ul−1(cid:107)2
V0 (cid:107)∆
lW(cid:107)2
K + (cid:2)K0 + K1(cid:107)ul−1(cid:107)2
V0
(cid:3)2(cid:107)∆
lW(cid:107)4
K
(cid:17)
(cid:16)(cid:2) ˜K0 + ˜K1(cid:107)θl−1(cid:107)2
H0
(cid:3)(cid:107)θl−1(cid:107)2
H0 (cid:107)∆
l ˜W(cid:107)2
˜K
+ (cid:2) ˜K0 + ˜K1(cid:107)θl−1(cid:107)2
H0
(cid:3)2(cid:107)∆
l ˜W(cid:107)4
˜K
(cid:17)
. (85)
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Taking expected values, we deduce, for every L = 1, . . . , N and h = T
N ≤ 1, that
E(cid:16)
(cid:107)uL(cid:107)4
V0 + (cid:107)θL(cid:107)4
H0 +
1
2
H0 − θl−1(cid:107)2
H0
L
∑
l=1
(cid:12)
(cid:12)
+ (cid:12)
(cid:12)(cid:107)θl(cid:107)2
2 + (cid:107)θl − θl−1(cid:107)2
H0 (cid:107)θl(cid:107)2
H0
(cid:3)(cid:17)
(cid:2)(cid:12)
(cid:12)(cid:107)ul(cid:107)2
V0 − (cid:107)ul−1(cid:107)2
V0
(cid:12)
(cid:12)
2 + (cid:107)ul − ul−1(cid:107)2
V0 (cid:107)ul(cid:107)2
V0
+ E(cid:16)
4h
(cid:2)ν(cid:107)A
L
∑
l=1
1
2 ul(cid:107)2
V0 (cid:107)ul(cid:107)2
V0 + κ(cid:107) ˜A
1
2 θl(cid:107)2
H0 (cid:107)θl(cid:107)2
H0
(cid:3)(cid:17)
≤ E((cid:107)u0(cid:107)4
V0 + (cid:107)θ0(cid:107)4
H0
(cid:1) + 3 h E((cid:107)uL(cid:107)4
V0 ) + C + C h
L−1
∑
l=0
(cid:0)(cid:107)ul(cid:107)4
V0 + (cid:107)θl(cid:107)4
H0
(cid:1)
for some constant C depending on Ki, ˜Ki, Tr(Q), Tr( ˜Q) and T that does not depend on N.
Let N be large enough to have 3 h < 1
2 . Neglecting the sums in the left hand side and using
the discrete Gronwall lemma, we deduce, for E(cid:0)(cid:107)u0(cid:107)4
V0 + (cid:107)θ0(cid:107)4
H0
(cid:17)
(cid:1) < ∞, that
E(cid:16)
sup
N≥1
max
0≤L≤N
(cid:107)uL(cid:107)4
V0 + (cid:107)θL(cid:107)4
H0
< ∞.
(86)
This yields
E(cid:16)
h
N
∑
l=1
sup
N≥1
(cid:2)(cid:107)A
1
2 ul(cid:107)2
V0 (cid:107)ul(cid:107)2
V0 + (cid:107) ˜A
1
2 θl(cid:107)2
H0
(cid:107)θl(cid:107)2
H0
(cid:3)(cid:17)
< ∞,
(87)
which proves (73) for K = 2. The argument used to prove (78) implies
E(cid:16)
max
1≤L≤N
L
∑
l=1
(cid:0)G(ul−1)∆
lW, ul−1(cid:1)(cid:107)ul−1(cid:107)2
V0
(cid:17)
≤ (cid:101)E(cid:16)
max
1≤L≤N
(cid:107)uL(cid:107)4
V0
(cid:17)
(cid:104)
+ C((cid:101))
1 + max
1≤L≤N
E((cid:107)uL(cid:107)4
V0 )
(cid:105)
and
E(cid:16)
max
1≤L≤N
L
∑
l=1
(cid:0) ˜G(θl−1)∆
l ˜W, θl−1(cid:1)(cid:107)uθl−1(cid:107)2
H0
(cid:17)
≤ (cid:101)E(cid:16)
max
1≤L≤N
(cid:107)θL(cid:107)4
H0
(cid:17)
(cid:104)
+ C((cid:101))
1 + max
1≤L≤N
E((cid:107)θL(cid:107)4
H0 )
(cid:105)
Taking the maximum for L = 1, ..., N and using (86), we deduce (72) for K = 2. The details
of the induction step, similar to the proof in the case K = 2, are left to the reader.
7. Strong Convergence of the Localized Implicit Time Euler Scheme
Due to the bilinear terms [u.∇]u and [u.∇]θ, we first prove an L2(Ω) convergence
of the L2(D)-norm of the error, uniformly on the time grid, restricted to the set ΩM(N)
defined below for some M > 0:
ΩM(j) :=
(cid:110)
(cid:107)A
sup
s∈[0,tj]
1
2 u(s)(cid:107)2
V0 ≤ M
(cid:111)
(cid:110)
∩
(cid:107) ˜A
sup
s∈[0,tj]
1
2 θ(s)(cid:107)2
H0 ≤ M
(cid:111)
,
∀j = 0, . . . , N,
(88)
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and let ΩM := ΩM(N). Recall that, for j = 0, ..., N, set ej := u(tj) − uj and ˜ej := θ(tj) − θ j;
then, e0 = ˜e0 = 0. Using (9), (10), (17) and (18), we deduce, for j = 1, ..., N, φ ∈ V1 and
ψ ∈ H1, that
(cid:0)ej − ej−1 , ϕ(cid:1) + ν
(cid:90) tj
tj−1
(cid:0)A
1
2 [u(s) − uj], A
1
2 ϕ(cid:1)ds +
(cid:90) tj
tj−1
(cid:10)B(u(s), u(s)) − B(uj, uj), ϕ(cid:11)ds
(cid:90) tj+1
=
tj
(cid:0)Π[θ(s) − θ j−1]v2, ϕ(cid:1)ds +
(cid:90) tj
tj−1
(cid:0)[G(u(s)) − G(uj−1)]dW(s) , ϕ(cid:1),
(89)
and
(cid:0) ˜ej − ˜ej−1 , ψ(cid:1) + κ
(cid:90) tj
tj−1
(cid:0) ˜A
1
2 [θ(s) − θ j], ˜A
1
2 ψ(cid:1)ds +
(cid:90) tj
tj−1
(cid:10)[u(s).∇]θ(s) − [u.∇]θ j], ψ(cid:11)ds
(cid:90) tj
=
tj−1
(cid:0)[ ˜G(θ(s)) − ˜G(θ j−1)]d ˜W(s) , ψ(cid:1).
(90)
In this section, we will suppose that N is large enough to have h := T
N ∈ (0, 1). The
following result is a crucial step towards the rate of convergence of the implicit time Euler
scheme.
Proposition 7. Suppose that the conditions (C-u) and (C-θ) hold. Let u0 ∈ L32+(cid:101)(Ω; V1) and
θ0 ∈ L32+(cid:101)(Ω; H1) for some (cid:101) > 0, u, θ be the solution to (9) and (10) and {uj, θ j}j=0,...,N be
the solution to (17) and (18). Fix M > 0 and let ΩM = ΩM(N) be defined by (88). Then, for
η ∈ (0, 1), there exists a positive constant C, independent of N, such that, for large enough N,
E(cid:16)
1Ω
M
(cid:104)
max
1≤j≤N
(cid:0)(cid:107)u(tj) − uj(cid:107)2
+ (cid:107) ˜A
1
2 [θ(tj) − θ j](cid:107)2
H0
(cid:105)(cid:17)
(cid:1) +
V0 + (cid:107)θ(tj) − θ j(cid:107)2
H0
T
N
≤ C(1 + M)eC(M)T(cid:16) T
N
(cid:17)η
N
∑
j=1
(cid:2)(cid:107)A
1
2 [u(tj) − uj](cid:107)2
V0
,
(91)
where
C(M) =
9(1 + γ) ¯C2
4
8
max
(cid:17)
(cid:16) 5
ν
,
1
κ
M
for some γ > 0, and ¯C4 is the constant in the right hand side of the Gagliardo–Nirenberg inequality
(6).
Proof. Write (89) with ϕ = ej and (90) with ψ = θ j; using the equality ( f , f − g) =
(cid:3), we obtain for j = 1, . . . , N
(cid:2)(cid:107) f (cid:107)2
1
2
L2 + (cid:107) f − g(cid:107)2
L2
L2 − (cid:107)g(cid:107)2
1
2
(cid:0)(cid:107)ej(cid:107)2
V0 − (cid:107)ej−1(cid:107)2
V0
(cid:1) +
1
2
(cid:0)(cid:107) ˜ej(cid:107)2
H0 − (cid:107) ˜ej−1(cid:107)2
H0
(cid:1) +
1
2
1
2
(cid:107)ej − ej−1(cid:107)2
V0 + νh(cid:107)A
(cid:107) ˜ej − ˜ej−1(cid:107)2
H0 + κh(cid:107) ˜A
1
2 ej(cid:107)2
V0 ≤
1
2 ˜ej(cid:107)2
H0 ≤
7
∑
l=1
6
∑
l=1
Tj,l,
˜Tj,l,
(92)
(93)
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where, by the antisymmetry property (3), we have that
Tj,1 = −
Tj,2 = −
Tj,3 = −
(cid:90) tj
tj−1
(cid:90) tj
tj−1
(cid:90) tj
tj−1
(cid:90) tj
(cid:90) tj
tj−1
(cid:90) tj
tj−1
Tj,6 =
Tj,7 =
and
˜Tj,1 = −
˜Tj,2 = −
˜Tj,3 = −
(cid:90) tj
tj−1
(cid:90) tj
tj−1
(cid:90) tj
tj−1
(cid:90) tj
˜Tj,5 =
˜Tj,6 =
(cid:90) tj
tj−1
(cid:90) tj
tj−1
(cid:90) tj
(cid:10)B(cid:0)ej, uj(cid:1) , ej
(cid:11)ds = −
tj−1
(cid:10)B(cid:0)u(s) − u(tj) , u(tj)(cid:1) ej
(cid:11)ds,
(cid:10)B(cid:0)ej, u(tj)(cid:1) , ej
(cid:11)ds,
(cid:10)B(cid:0)u(s), u(s) − u(tj)(cid:1) , ej
(cid:11)ds =
(cid:10)B(cid:0)u(s), ej
(cid:1) , u(s) − u(tj)(cid:11)ds,
(cid:90) tj
tj−1
(cid:1)ds, Tj,5 =
1
2 ej
(cid:90) tj
tj−1
(cid:0)Π[θ(s) − θ j−1]v2 , ej
(cid:1)ds,
Tj,4 = − ν
1
(cid:0)A
2 (u(s) − u(tj)), A
tj−1
(cid:0)[G(u(s)) − G(uj−1)(cid:3)dW(s) , ej − ej−1
(cid:1),
(cid:0)[G(u(s)) − G(uj−1)(cid:3)dW(s), ej−1
(cid:1),
(cid:90) tj
(cid:10)[ej−1.∇]θ j , ˜ej
(cid:11)ds = −
tj−1
(cid:10)[(u(s) − u(tj−1).∇]θ(tj) , ˜ej
(cid:11)ds,
(cid:10)[ej−1.∇]θ(tj) , ˜ej
(cid:11)ds,
(cid:10)[u(s).∇](θ(s) − θ(tj) , ˜ej
(cid:11)ds =
(cid:90) tj
tj−1
(cid:10)[u(s).∇] ˜ej , (θ(s) − θ(tj)(cid:11)ds,
˜Tj,4 = − ν
1
(cid:0) ˜A
2 (θ(s) − θ(tj)), ˜A
1
2 ˜ej
(cid:1)ds,
tj−1
(cid:0)[ ˜G(θ(s)) − ˜G(θ j−1)d ˜W(s) , ˜ej − ˜ej−1
(cid:1),
(cid:0)[G(u(s)) − G(uj−1)(cid:3)dW(s), ej−1
(cid:1),
We next prove upper estimates of the terms Tj,l for l = 1, ..., 5 and ˜Tj,l for l = 1, . . . , 4,
and of the expected value of Tj,6, Tj,7 ˜Tj,5 and ˜Tj,6.
The Hölder and Young inequalities and the Gagliardo–Nirenberg inequality (6) imply,
for δ1 > 0, that
|Tj,1| ≤ ¯C4 h (cid:107)ej(cid:107)V0 (cid:107)A
≤ δ1 ν h (cid:107)A
1
2 ej(cid:107)2
h (cid:107)A
1
2 u(tj)(cid:107)2
V0 (cid:107)ej(cid:107)2
V0,
1
2 u(tj)(cid:107)V0
1
2 ej(cid:107)V0 (cid:107)A
¯C2
4
4δ1ν
V0 +
and, for ˜δ1, δ2 > 0, that
| ˜Tj,1| ≤ ¯C4 h (cid:107)A
1
1
2
1
2
1
2 ej−1(cid:107)
2 ej−1(cid:107)2
V0 (cid:107) ˜A
V0 (cid:107)ej−1(cid:107)
V0 + ˜δ1hκ(cid:107) ˜A
2 ˜ej(cid:107)
2 ˜ej(cid:107)2
H0
1
1
1
2
H0 (cid:107) ˜ej(cid:107)
1
2
H0 (cid:107) ˜A
1
2 θ(tj)(cid:107)H0
h (cid:107) ˜A
1
2 θ(tj)(cid:107)2
H0 (cid:107)ej−1(cid:107)2
V0 +
¯C2
4
16 ˜δ1κ
h (cid:107) ˜A
1
2 θ(tj)(cid:107)2
H0 (cid:107) ˜ej(cid:107)2
H0.
≤ δ2 νh(cid:107)A
¯C2
4
16δ2ν
+
(94)
(95)
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Hölder’s inequality and the Sobolev embedding V1 ⊂ L4 imply, for δ3 > 0, that
|Tj,2| ≤ C
(cid:90) tj
tj−1
(cid:107)u(s) − u(tj)(cid:107)V1 (cid:107)A
1
2 u(tj)(cid:107)V0 (cid:107)A
1
2 ej(cid:107)
1
2
1
2
V0 ds
V0 (cid:107)ej(cid:107)
(cid:90) tj
≤ δ3ν h (cid:107)A
1
2 ej(cid:107)2
V0 + h (cid:107)ej(cid:107)2
V0 +
√
C
νδ3
(cid:107)A
1
2 u(tj)(cid:107)2
V0
tj−1
(cid:107)u(tj) − u(s)(cid:107)2
V1 ds,
whereas, for ˜δ2 > 0,
| ˜Tj,2| ≤ ˜δ2κ h (cid:107) ˜A
1
2 ˜ej(cid:107)2
H0 + h (cid:107) ˜ej(cid:107)2
H0 +
C
κ ˜δ2
(cid:90) tj
tj−1
(cid:107)A
1
2 (cid:2)u(s) − u(tj−1)(cid:3)(cid:107)2
V0 ds
+
C
κ ˜δ2
(cid:107) ˜A
1
2 θ(tj)(cid:107)4
H0
(cid:90) tj
tj−1
(cid:107)u(s) − u(tj−1)(cid:107)2
V0 ds.
Similar arguments prove, for δ4, ˜δ3 > 0, that
|Tj,3| ≤ δ4νh(cid:107)A
1
2 ej(cid:107)2
V0 +
C
νδ4
sup
s∈[0,T]
(cid:107)u(s)(cid:107)2
V1
| ˜Tj,3| ≤ ˜δ3 κ h (cid:107) ˜A
1
2 ˜ej(cid:107)2
H0 +
C
κ ˜δ3
sup
s∈[0,T]
(cid:107)u(s)(cid:107)2
V1
(cid:107)θ(s) − θ(tj)(cid:107)2
H1 ds.
(cid:107)u(s) − u(tj)(cid:107)2
V1 ds,
(cid:90) tj
tj−1
(cid:90) tj
tj−1
The Cauchy–Schwarz and Young inequalities imply, for δ5, ˜δ4 > 0, that
|Tj,4| ≤ δ5ν h (cid:107)A
1
2 ej(cid:107)2
V0 +
| ˜Tj,4| ≤ ˜δ4 κ h (cid:107) ˜A
1
2 ˜ej(cid:107)2
H0 +
ν
4δ5
κ
4 ˜δ4
(cid:90) tj
tj−1
(cid:90) tj
tj−1
1
(cid:107)A
2 [u(s) − u(tj)](cid:107)2
V0 ds,
1
(cid:107) ˜A
2 [θ(s) − θ(tj)](cid:107)2
H0 ds.
Using once more the Cauchy–Schwarz and Young inequalities, we deduce
(96)
(97)
(98)
(99)
(100)
(101)
|Tj,5| ≤
≤
(cid:90) tj
tj−1
h
2
(cid:2)(cid:107)θ(s) − θ(tj−1)(cid:107)H0 + (cid:107) ˜ej−1(cid:107)H0
(cid:3) (cid:107)ej(cid:107)V0 ds
(cid:107)ej(cid:107)2
V0 +
h
2
(cid:107) ˜ej−1(cid:107)2
H0 +
1
2
(cid:90) tj
tj−1
(cid:107)θ(s) − θ(tj−1)(cid:107)2
H0 ds.
(102)
Note that the sequence of subsets {ΩM(j)}0≤j≤N is decreasing. Therefore, since
e0 = ˜e0 = 0, given L = 1, . . . , N, we obtain
max
1≤J≤L
J
∑
j=1
1Ω
M(j−1)
(cid:2)(cid:107)ej(cid:107)2
V0 − (cid:107)ej−1(cid:107)2
V0 + (cid:107) ˜ej(cid:107)2
H0 − (cid:107) ˜ej−1(cid:107)2
H0
(cid:3)
= max
1≤J≤L
(cid:16)
L
∑
j=2
1Ω
M(J−1)
(cid:2)(cid:107)eJ(cid:107)2
V0 + (cid:107) ˜ej(cid:107)2
H0
(cid:3)(cid:17)
+
L
∑
j=2
(cid:0)1Ω
M(j−2) − 1Ω
M(j−1)
(cid:1)(cid:2)(cid:107)ej−1(cid:107)2
V0 + (cid:107) ˜ej−1(cid:107)2
H0
(cid:3)
≥ max
1≤J≤L
(cid:16)
L
∑
j=2
1Ω
M(J−1)
(cid:2)(cid:107)eJ(cid:107)2
V0 + (cid:107) ˜ej(cid:107)2
H0
(cid:3)(cid:17)
.
Hence, for ∑5
α > 0, that
j=1 δj ≤ 1
3 and ∑4
j=1
˜δj < 1
3 , using Young’s inequality, we deduce, for every
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(cid:16)
1
6
max
1≤J≤L
1Ω
M(J−1)
(cid:2)(cid:107)eJ(cid:107)2
V0 + (cid:107) ˜ej(cid:107)2
H0
(cid:3)(cid:17)
1
6
L
∑
j=1
1Ω
M(j−1)
(cid:0)(cid:107)ej − ej−1(cid:107)2
V0 + (cid:107) ˜ej − ˜ej−1(cid:107)2
H0
(cid:1)
1Ω
M(j−1) h
(cid:104)
ν
(cid:16) 1
3
(cid:107)A
1
2 ej(cid:107)2
V0 + κ
(cid:16) 1
3
−
(cid:105)
1
2 ˜ej(cid:107)2
H0
(cid:17)
δi
−
5
∑
i=1
(cid:16) (1 + α) ¯C2
4
4δ1ν
(cid:17)
˜δi
(cid:107) ˜A
4
∑
i=1
(1 + α) ¯C2
4
16δ2ν
1Ω
M(j−1)(cid:107)ej(cid:107)2
V0
(cid:107)A
1
2 u(tj−1)(cid:107)2
V0 +
1
(cid:107) ˜A
2 θ(tj−1)(cid:107)2
H0 +
(cid:17)
3
2
+
+
≤ h
L
∑
j=1
L
∑
j=1
+ h
L
∑
j=1
1Ω
M(j−1)(cid:107) ˜ej(cid:107)2
H0
(cid:16) (1 + α) ¯C2
4
16 ˜δ1κ
(cid:107) ˜A
1
2 θ(tj−1)(cid:107)2
H0 +
(cid:17)
3
2
+ ZL
+ max
1≤J≤L
J
∑
j=1
1Ω
M(j−1)
(cid:2)Tj,6 + ˜Tj,5
(cid:3) + max
1≤J≤L
J
∑
j=1
1Ω
M(j−1)
(cid:2)Tj,7 + ˜Tj,6
(cid:3),
(103)
where
ZL = C h
L
∑
j=1
(cid:107)ej(cid:107)2
V0
(cid:0)(cid:107)A
1
2 [u(tj) − u(tj−1)](cid:107)2
V0 + (cid:107) ˜A
1
2 [θ(tj) − θ(tj−1)](cid:107)2
H0
(cid:1)
+ C h
L
∑
j=1
(cid:107) ˜ej(cid:107)2
V0 (cid:107) ˜A
1
2 [θ(tj) − θ(tj−1)](cid:107)2
H0
+ C
+ C
+ C
L
∑
j=1
L
∑
j=1
L
∑
j=1
(cid:16)
sup
s∈[0,T]
(cid:107)u(s)(cid:107)2
V1 + 1
(cid:17) (cid:90) tj
tj−1
(cid:2)(cid:107)u(tj) − u(s)(cid:107)2
V1 + (cid:107)u(s) − u(tj−1(cid:107)2
V1
(cid:3)ds
(cid:107) ˜A
1
2 θ(tj−1)(cid:107)4
H0
(cid:90) tj
tj−1
(cid:107)u(s) − u(tj−1)(cid:107)2
V0 ds
(cid:16)
sup
s∈[0,T]
(cid:107)u(s)(cid:107)2
V1 + 1
(cid:17) (cid:90) tj
tj−1
(cid:107)θ(s) − θ(tj)(cid:107)2
H1 ds.
The Cauchy–Schwarz and Young inequalities imply that
L
∑
j=1
L
∑
j=1
1Ω
M(j−1)|Tj,6| ≤
+
3
2
L
∑
j=1
1Ω
M(j−1)
1Ω
M(j−1)| ˜Tj,5| ≤
+
3
2
L
∑
j=1
1Ω
M(j−1)
1
6
(cid:13)
(cid:13)
(cid:13)
1
6
(cid:13)
(cid:13)
(cid:13)
L
∑
j=1
(cid:90) tj
L
∑
j=1
(cid:90) tj
tj−1
tj−1
1Ω
M(j−1)(cid:107)ej − ej−1(cid:107)2
V0
(cid:2)G(u(s)) − G(uj−1)(cid:3)dW(s)
(cid:13)
(cid:13)
(cid:13)
2
V0
,
1Ω
M(j−1)(cid:107) ˜ej − ˜ej−1(cid:107)2
H0
(cid:2) ˜G(θ(s)) − ˜G(θ j−1)(cid:3)d ˜W(s)
(cid:13)
(cid:13)
(cid:13)
2
H0
.
(104)
(105)
(106)
Using the upper estimates (103)–(106), taking expected values and using the Cauchy–
Schwarz and Young inequalities, as well as the inequalities (19), (20), (37), (46), (59), (60)
and (72), we deduce that, for η ∈ (0, 1) and every L = 1, . . . , N,
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E(ZL) ≤ C
(cid:110)E(cid:16)
sup
s∈[0,T]
(cid:107)u(s)(cid:107)4
V0 + max
0≤j≤N
(cid:107)uj(cid:107)4
V0
(cid:17)(cid:111) 1
2
×
(cid:110)E(cid:16)(cid:12)
(cid:12)
(cid:12)h
(cid:0)(cid:107)A
N
∑
j=1
1
2 (cid:2)u(tj) − u(tj−1)(cid:3)(cid:107)2
V0 + (cid:107) ˜A
1
2 (cid:2)θ(tj) − θ(tj−1)(cid:3)(cid:107)2
V0
2(cid:17)(cid:111) 1
2
(cid:1)(cid:12)
(cid:12)
(cid:12)
(cid:110)E(cid:16)
+ C
sup
s∈[0,T]
(cid:107)θ(s)(cid:107)4
H0 + max
0≤j≤N
(cid:107)θ j(cid:107)4
H0
(cid:17)(cid:111) 1
2
×
(cid:110)E(cid:16)(cid:12)
(cid:12)
(cid:12)h
N
∑
j=1
(cid:107) ˜A
1
2 (cid:2)θ(tj) − θ(tj−1)(cid:3)(cid:107)2
V0
2(cid:111) 1
2
(cid:1)(cid:12)
(cid:12)
(cid:12)
(cid:110)E(cid:16)
+ C
1 + sup
0≤s≤T
(cid:107)u(s)(cid:107)4
V1
(cid:17)(cid:111) 1
2 (cid:110)E(cid:16)(cid:12)
(cid:12)
(cid:12)
N
∑
j=1
(cid:90) tj
tj−1
(cid:2)(cid:107)u(s) − u(tj)(cid:107)2
V0
+ (cid:107)u(s) − u(tj−1)(cid:107)2
V0 + (cid:107)θ(s) − θ(tj)(cid:107)2
H0
2(cid:17)(cid:111) 1
2
(cid:3)(cid:12)
(cid:12)
(cid:12)
+ C
N
∑
j=1
(cid:90) tj
tj−1
(cid:8)E(cid:0)(cid:107) ˜A
1
2 θ(tj)(cid:107)8
H0
(cid:1)(cid:9) 1
2
(cid:110)E(cid:0)(cid:107)u(s) − u(tj−1)(cid:107)4
V0
(cid:1)(cid:111) 1
2
ds ≤ C hη,
(107)
for some constant C independent of L and N. Furthermore, the Lipschitz conditions (12)
and (15), the inclusion ΩM(j − 1) ⊂ ΩM(j − 2) for j = 2, ..., N and the upper estimates (46)
and (47) imply that
E(cid:16) L
∑
j=1
1ΩM(j−1)
(cid:13)
(cid:13)
(cid:13)
(cid:90) tj
tj−1
(cid:2)G(u(s)) − G(uj−1)(cid:3)dW(s)
(cid:13)
(cid:13)
(cid:13)
2
(cid:1)
V0
≤
L
∑
j=1
E(cid:16) (cid:90) tj
tj−1
≤ 2L1Tr(Q) h
≤ 2L1Tr(Q) h
1ΩM(j−1) L1(cid:107)u(s) − uj−1(cid:107)2
V0 Tr(Q)ds
(cid:17)
E(1ΩM(j−2)(cid:107)ej−1(cid:107)2
V0
(cid:1) + C
L
∑
j=1
E(cid:16) (cid:90) tj
tj−1
(cid:107)u(s) − u(tj−1)(cid:107)2
V0 ds
(cid:17)
E(1ΩM(j−2)(cid:107)ej−1(cid:107)2
V0
(cid:1) + Ch,
L
∑
j=2
L
∑
j=2
E(cid:16) L
∑
j=1
1ΩM(j−1)
(cid:13)
(cid:13)
(cid:13)
(cid:90) tj
tj−1
(cid:2) ˜G(θ(s)) − ˜G(θ j−1)(cid:3)d ˜W(s)
(cid:13)
(cid:13)
(cid:13)
2
(cid:1)
H0
≤ 2 ˜L1Tr( ˜Q) h
L
∑
j=2
E(1ΩM(j−2)(cid:107) ˜ej−1(cid:107)2
H0
(cid:1) + Ch.
(108)
(109)
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Finally, the Davis inequality, the inclusion ΩM(J − 1) ⊂ ΩM(j − 1) for j ≤ J, the local
property of stochastic integrals, the Lipschitz condition (12), the Cauchy–Schwarz and
Young inequalities and the upper estimate (46) imply, for λ > 0, that
E(cid:16)
max
1≤J≤L
1Ω
M(J−1)
(cid:17)
Tj7
J
∑
j=1
≤ 3
≤ 3
L
∑
j=1
L
∑
j=1
≤ λE(cid:16)
≤ λE(cid:16)
E(cid:16)(cid:110)
1Ω
M(j−1)
(cid:90) tj
tj−1
(cid:107)G(u(s)) − G(uj−1)(cid:107)2
L(K;V0)Tr(Q)(cid:107)ej−1(cid:107)2
V0 ds
(cid:111) 1
2 (cid:17)
E(cid:104)(cid:16)
max
1≤j≤L
1Ω
M(j−1)(cid:107)ej−1(cid:107)V0
(cid:17)(cid:110) (cid:90) tj
tj−1
L1Tr(Q)(cid:107)u(s) − uj−1(cid:107)2
V0 ds
(cid:111) 1
2 (cid:17)
max
1≤j≤L
1Ω
M(j−1)(cid:107)ej−1(cid:107)2
V0
max
1≤j≤L
1Ω
M(j−2)(cid:107)ej−1(cid:107)2
V0
(cid:17)
(cid:17)
+ CE(cid:16) L
∑
j=1
(cid:90) tj
tj−1
L1Tr(Q)(cid:107)u(s) − uj−1(cid:107)2
V0 ds
(cid:17)
+ Ch
L
∑
j=1
E((cid:107)ej−1(cid:107)2
V0 ) + C h.
(110)
A similar argument, using the Lipschitz condition (15) and (47), yields, for λ > 0,
E(cid:16)
max
1≤J≤L
1Ω
M(J−1)
(cid:17)
˜Tj7
J
∑
j=1
≤ λE(cid:16)
max
1≤j≤L
1Ω
M(j−2)(cid:107) ˜ej−1(cid:107)2
H0
(cid:17)
+ Ch
L
∑
j=1
E((cid:107) ˜ej−1(cid:107)2
V0 ) + Ch.
(111)
Collecting the upper estimates (94)–(111), we obtain, for ∑5
and α, λ > 0,
i=1 δi < 1
3 , ∑4
i=1
˜δi < 1
3 , η ∈ (0, 1)
E(cid:16)
max
1≤J≤N
1ΩM(j−1)
(cid:2)(cid:107)ej(cid:107)2
V0 + (cid:107) ˜ej(cid:107)2
H0
(cid:3)(cid:17)
+ E(cid:16) N
∑
j=1
1ΩM(j−1)
(cid:16)
(cid:104)
ν
≤ h
E(cid:16)
N−1
∑
j=1
1ΩM(j−1)(cid:107)ej(cid:107)2
V0
(cid:17)
δi
2 − 6
5
∑
i=1
(cid:104) 3(1 + α) ¯C2
4
2ν
(cid:107)A
1
2 ej(cid:107)2
V0 + κ
(cid:16)
2 − 6
(cid:16) 1
δ1
+
(cid:17)
1
4δ2
M + C
(cid:17)
˜δi
(cid:107) ˜A
1
2 ˜ej(cid:107)2
V0
(cid:105)(cid:17)
4
∑
i=1
(cid:105)(cid:17)
+ h
E(cid:16)
N−1
∑
j=1
1ΩM(j−1)(cid:107) ˜ej(cid:107)2
H0
(cid:104) 3(1 + α) ¯C2
4
8 ˜δ1κ
(cid:105)(cid:17)
M + C
+ C(1 + M)hE(cid:16)
sup
t∈[0,T]
(cid:2)(cid:107)u(t)(cid:107)2
V0 + (cid:107)θ(t)(cid:107)2
H0
(cid:3) + max
1≤j≤N
(cid:2)(cid:107)uj(cid:107)2
V0 + (cid:107)θ j(cid:107)2
H0
(cid:1)(cid:3)(cid:17)
+ 12λE(cid:16)
max
1≤j≤N
1ΩM(j−1)
(cid:2)(cid:107)ej−1(cid:107)2
V0 + (cid:107) ˜ej(cid:107)2
H0
(cid:3)(cid:17)
+ Chη.
(112)
Therefore, given γ ∈ (0, 1), choosing λ ∈ (0, 1
1+α
1−12λ < 1 + γ,
neglecting the sum in the left hand side and using the discrete Gronwall lemma, we deduce,
for η ∈ (0, 1), that
12 ) and α > 0 such that
E(cid:16)
max
1≤J≤N
1Ω
M(j−1)
(cid:2)(cid:107)ej(cid:107)2
V0 + (cid:107) ˜ej(cid:107)2
H0
(cid:3)(cid:17)
≤ C(1 + M)eTC(M)hη,
(113)
where
C(M) :=
3(1 + γ) ¯C2
4
2
max
(cid:16) 1
δ1ν
+
1
4δ2ν
,
1
4 ˜δ1κ
(cid:17)
M,
Mathematics 2022, 10, 4246
36 of 39
for ∑2
and ∑4
i=1 δi < 1
˜δi < 1
i=1
3 and ˜δ1 < 1
3 ). Let δ2 < 1
3 (and choosing δi, i = 3, 4, 5 and ˜δi, i = 2, 3, 4 such that ∑5
15 and δ1 = 4δ2. Then, for some γ > 0, we have that
i=1 δi < 1
3
C(M) =
9(1 + γ) ¯C2
4
8
max
(cid:17)
(cid:16) 5
ν
,
1
κ
M.
Plugging the upper estimate (113) in (112), we conclude the proof of (91).
8. Rate of Convergence in Probability and in L2(Ω)
In this section, we deduce from Proposition 7 the convergence in probability of the
implicit time Euler scheme with the “optimal” rate of convergence of “almost 1/2” and
a logarithmic speed of convergence in L2(Ω). The presence of the bilinear term in the
Itô formula for (cid:107) ˜A
H0 does not enable us to prove exponential moments for this
norm, which prevents us from using the general framework presented in [10] to prove a
polynomial rate for the strong convergence.
1
2 θ(t)(cid:107)2
8.1. Rate of Convergence in Probability
In this section, we deduce the rate of the convergence in probability (defined in [17])
from Propositions 1, 2, 6 and 7.
Proof of Theorem 2. For N ≥ 1 and η ∈ (0, 1), let
A(N, η) :=
(cid:110)
max
1≤J≤N
(cid:2)(cid:107)eJ(cid:107)2
V0 + (cid:107) ˜eJ(cid:107)2
H0
(cid:3) +
T
N
N
∑
j=1
(cid:2)(cid:107)A
Let ˜η ∈ (η, 1), M(N) = ln(ln N) for N ≥ 3. Then,
1
2 ej(cid:107)2
V0 + (cid:107) ˜A
1
2 ˜ej(cid:107)2
H0
(cid:3) ≥ N−η(cid:111)
.
P(cid:0)A(N, η)(cid:1) ≤ P(cid:0)A(N, η) ∩ Ω
(cid:1) + P(cid:0)(Ω
M(N))c(cid:1),
M(N)
where Ω
M(N) = Ω
M(N)(N) is defined in Proposition 7. The inequality (91) implies that
P(cid:0)A(N, η) ∩ Ω
≤ Nη E(cid:16)
1Ω
(cid:1)
M(N)
(cid:104)
M(N)
max
1≤J≤N
(cid:2)(cid:107)eJ(cid:107)2
V0 + (cid:107) ˜eJ(cid:107)2
H0
(cid:3) +
T
N
N
∑
j=1
(cid:2)(cid:107)A
≤ Nη C(cid:2)1 + ln(ln N)(cid:3)eT ˜C ln(ln N)(cid:16) T
N
≤ C(cid:2)1 + ln(ln N)(cid:3)(cid:0) ln N(cid:1) ˜CT
N− ˜η+η → 0
(cid:17) ˜η
as N → ∞.
1
2 ej(cid:107)2
V0 + (cid:107) ˜A
(cid:3)(cid:105)(cid:17)
1
2 ˜ej(cid:107)2
H0
The inequalities (20)–(22) imply that
P(cid:0)(Ω
M(N))c(cid:1) ≤
E(cid:16)
1
M(N)
sup
t∈[0,T]
(cid:107)u(t)(cid:107)2
V1 + sup
t∈[0,T]
(cid:107)θ(t)(cid:107)2
H1
(cid:17)
→ 0
as N → ∞.
The two above convergence results complete the proof of (23).
8.2. Rate of Convergence in L2(Ω)
We finally prove the strong rate of convergence, which is also a consequence of
Propositions 1, 2, 6 and 7.
Mathematics 2022, 10, 4246
37 of 39
Proof of Theorem 3. For any integer N ≥ 1 and M ∈ [1, +∞), let ΩM = ΩM(N) be
defined by (88). Let p be the conjugate exponent of 2q. Hölder’s inequality implies that
(cid:2)(cid:107)eJ(cid:107)2
V0 + (cid:107) ˜eJ(cid:107)2
H0
(cid:3)(cid:17)
(cid:110)
P(cid:0)(ΩM)c(cid:1)(cid:111) 1
p
≤
sup
s∈[0,T]
(cid:107)u(s)(cid:107)2q
V0 + sup
s∈[0,T]
(cid:107)θ(s)(cid:107)2q
H0 + max
1≤j≤N
(cid:107)uj(cid:107)2q
V0 + max
1≤j≤N
(cid:107)θ j(cid:107)2q
H0
E(cid:16)
1(Ω
M)c max
1≤J≤N
(cid:110)E(cid:16)
×
(cid:110)
P(cid:0)(ΩM)c(cid:1)(cid:111) 1
p
,
≤ C
(cid:17)(cid:111)2−q
(114)
where the last inequality is a consequence of (19), (20) and (72).
Using (21) and (22), we deduce that
P(cid:0)(ΩM)c(cid:1) ≤ M−2q−1E(cid:0) sup
s∈[0,T]
(cid:107)u(s)(cid:107)2q
V1 + sup
s∈[0,T]
(cid:17)
(cid:107)θ(s)(cid:107)2q
H1
= CM−2q−1
.
(115)
Using (91), we choose M(N) → ∞ as N → ∞ such that, for η ∈ (0, 1) and γ > 0,
N−η exp
(cid:104) 9(1 + γ) ¯C2
4 T
8
(cid:16) 5
ν
∨
(cid:17)
1
κ
(cid:105)
M(N)
M(N) (cid:16) M(N)−2q−1
which, taking logarithms, yields
−η ln(N) +
9(1 + γ) ¯C2
8
4 T
(cid:0) 5
ν
∨
1
κ
(cid:1)M(N) (cid:16) −2q−1 ln(M(N)).
Set
Then,
M(N) =
(cid:16)
8
9(1 + γ) ¯C2
4
8
9(1 + γ) ¯C2
4
(cid:0) 5
ν ∨ 1
κ
(cid:1)T
(cid:0) 5
ν ∨ 1
κ
(cid:1)T
(cid:2)η ln(N) − (cid:0)2q−1 + 1(cid:1) ln (cid:0) ln(N)(cid:1)(cid:3)
η ln(N).
−η ln(N) +
9(1 + γ) ¯C2
8
4 T
(cid:0) 5
ν
This implies that
1
κ
(cid:1)M(N) + ln(M(N)) (cid:16) −(cid:0)2q−1 + 1(cid:1) ln (cid:0) ln(N)(cid:1) + 0(1),
∨
−(cid:0)2q−1 + 1(cid:1) ln (cid:0)M(N)(cid:1) (cid:16) −(cid:0)2q−1 + 1(cid:1) ln(N) + 0(1).
E(cid:16)
max
1≤J≤N
(cid:2)(cid:107)eJ(cid:107)2
V0 + (cid:107) ˜eJ(cid:107)2
H0
(cid:3)(cid:17)
≤ C(cid:0) ln(N)(cid:1)−(cid:0)
2q−1+1)
.
The inequalities (21) and (22) for p = 1 and (73) for K = 1 imply
E(cid:16) T
N
N
∑
j=1
sup
N≥1
(cid:2)(cid:107)A
1
2 u(tj)(cid:107)2
V0 + (cid:107)A
1
2 uj(cid:107)2
V0 + (cid:107) ˜A
1
2 θ(tj)(cid:107)2
H0 + (cid:107) ˜A
(cid:3)(cid:17)
1
2 θ j(cid:107)2
H0
< ∞.
Using a similar argument, we obtain
E(cid:16) T
N
N
∑
j=1
(cid:2)(cid:107)A
1
2 ej(cid:107)2
V0 + (cid:107) ˜A
(cid:3)(cid:17)
1
2 ˜ej(cid:107)2
H0
≤ C(cid:0) ln(N)(cid:1)−(2q−1+1)
.
This yields (24) and completes the proof.
Mathematics 2022, 10, 4246
38 of 39
9. Conclusions
This paper provides the first result on the rate of the convergence of a time discretiza-
tion of the Navier–Stokes equations coupled with a transport equation for the temperature,
driven by a random perturbation; this is the so-called Boussinesq/Bénard model. The
perturbation may depend on both the velocity and temperature of the fluid. The rates of
the convergence in probability and in L2(Ω) are similar to those obtained for the stochastic
Navier–Stokes equations. The Boussinesq equations model a variety of phenomena in
environmental, geophysical and climate systems (see, e.g., [18,19]). Even if the outline of
the proof is similar to that used for the Navier–Stokes equations, the interplay between the
velocity and the temperature is more delicate to deal with in many places. This interplay,
which appears in Bénard systems, is crucial for describing more general hydrodynamical
models. The presence of the velocity in the bilinear term describing the dynamics of the
temperature makes it more difficult to prove bounds of moments for the H1-norm of the
temperature uniformly in time and requires higher moments of the initial condition. Such
bounds are crucial to deduce rates of convergence (in probability and in L2(Ω)) from the
localized one.
This localized version of the convergence is the usual first step in a non-linear (non-
Lipschitz and non-monotonous) setting. Numerical simulations, which are the ultimate
aim of this study since there is no other way to “produce” trajectories of the solution, would
require a space discretization, such as finite elements. This is not dealt with in this paper
and will be carried out in a forthcoming work. This new study is likely to provide results
similar to those obtained for the 2D Navier–Stokes equations.
In addition, note that another natural continuation of this work would be to consider
a more general stochastic 2D magnetic Bénard model (as discussed in [1]) that describes the
time evolution of the velocity, temperature and magnetic field of an incompressible fluid.
It would also be interesting to study the variance of the L2(D)-norm of the error term,
in both additive and multiplicative settings, for the Navier-0Stokes equations and more
general Bénard systems. This would give some information about the accuracy of the
approximation. Proving a.s. the convergence of the scheme for Bénard models is also a
challenging question.
Author Contributions: H.B. and A.M. contributed equally to this paper. Conceptualization, H.B.
and A.M.; methodology, H.B. and A.M.; writing—original draft preparation, H.B. and A.M.; writ-
ing—review and editing, H.B. and A.M. All authors have read and agreed to the published version of
the manuscript.
Funding: Hakima Bessaih was partially supported by Simons Foundation grant: 582264 and NSF
grant DMS: 2147189.
Data Availability Statement: Data sharing is not applicable to this article as no datasets were
generated or analyzed during the current study.
Acknowledgments: The authors thank anonymous referees for valuable remarks. Annie Millet’s
research has been conducted within the FP2M federation (CNRS FR 2036).
Conflicts of Interest: The authors have no conflict of interest to declare that are relevant to the content
of this article.
References
1.
2.
3.
4.
Chueshov, I.; Millet, A. Stochastic 2D hydrodynamical type systems: Well posedness and large deviations. Appl. Math. Optim.
2010, 61, 379–420. [CrossRef]
Duan, J.; Millet, A. Large deviations for the Boussinesq equations under random influences. Stoch. Process. Their Appl. 2009, 119,
2052–2081. [CrossRef]
Breckner, H. Galerkin approximation and the strong solution of the Navier-Stokes equation. J. Appl. Math. Stoch. Anal. 2000, 13,
239–259. [CrossRef]
Breit, D.; Dogson, A. Convergence rates for the numerical approximation of the 2D Navier-Stokes equations. Numer. Math. 2021,
147, 553–578. [CrossRef]
Mathematics 2022, 10, 4246
39 of 39
5.
6.
7.
8.
9.
Brze´zniak, Z.; Carelli, E.; Prohl, A. Finite element base discretizations of the incompressible Navier-Stokes equations with
multiplicative random forcing. IMA J. Numer. Anal. 2013, 33, 771–824. [CrossRef]
Carelli, E.; Prohl, A. Rates of convergence for discretizations of the stochastic incompressible Navier-Stokes equations. SIAM J.
Numer. Anal. 2012, 50, 2467–2496. [CrossRef]
Dörsek, P. Semigroup splitting and cubature approximations for the stochastic Navier-Stokes Equations. SIAM J. Numer. Anal.
2012, 50, 729–746. [CrossRef]
Bessaih, H.; Brze´zniak, Z.; Millet, A. Splitting up method for the 2D stochastic Navier-Stokes equations. Stoch. PDE Anal. Comput.
2014, 2, 433–470. [CrossRef]
Bessaih, H.; Millet, A. Strong L2 convergence of time numerical schemes for the stochastic two-dimensional Navier-Stokes
equations. IMA J. Numer. Anal. 2019, 39, 2135–2167. [CrossRef]
10. Bessaih, H.; Millet, A. Space-time Euler discretization schemes for the stochastic 2D Navier-Stokes equations. Stoch. PDE Anal.
Comput. 2021, 10, 1515–1558. [CrossRef]
11. Bessaih, H.; Millet, A. Strong rates of convergence of space-time discretization schemes for the 2D Navier-Stokes equations with
additive noise. Stochastics Dyn. 2022, 22, 224005. [CrossRef]
12. Temam, R. Navier-Stokes Equations and Nonlinear Functional Analysis; CBMS-NSF Regional Conference Series in Applied Mathe-
matics; 66. Society for Industrial and Applied Mathematics (SIAM): Philadelphia, PA, USA, 1995.
13. Giga, Y.; Miyakawa, T. Solutions in Lr of the Navier-Stokes Initial Value Problem. Arch. Ration. Anal. 1985, 89, 267–281. [CrossRef]
14. Da Prato, G.; Zabczyk, J. Stochastic Equations in Infinite Dimensions; Cambridge University Press: Cambridge, UK, 1992.
15. Walsh, J.B. An introduction to Stochastic Partial Differential Equations; In École d’Été de Probabilités de Saint-Flour XIV-1984; Lecture
Notes in Mathematics 1180; Springer: Berlin/Heidelberg, Germany, 1986.
16. Girault, V.; Raviart, P.A. Finite Element Method for Navier-Stokes Equations: Theory and Algorithms; Springer: Berlin/Heidelberg,
Germany; New York, NY, USA, 1981.
17. Printems, J. On the discretization in time of parabolic stochastic partial differential equations. M2AN Math. Model. Numer. Anal.
2001, 35, 1055–1078. [CrossRef]
18. Dijkstra, H.A. Nonlinear Physical Oceanography; Kluwer Academic Publishers: Boston, MA, USA, 2000.
19. Duan, J.; Gao, H.; Schmalfuss, B. Stochastic dynamics of a coupled atmosphere–ocean model. Stochastics Dyn. 2002, 2, 357–380.
[CrossRef]
| null |
10.1186_s12889-023-16038-3.pdf
|
Availability of data and materials
The datasets used and analyzed during this current study are available from
the corresponding author on reasonable request.
|
Availability of data and materials The datasets used and analyzed during this current study are available from the corresponding author on reasonable request.
|
Chair et al. BMC Public Health (2023) 23:1081
https://doi.org/10.1186/s12889-023-16038-3
RESEARCH
BMC Public Health
Open Access
Household air pollution from solid fuel use
and depression among adults in rural China:
evidence from the China Kadoorie Biobank data
Sek Ying Chair1, Kai Chow Choi1, Mei Sin Chong1*, Ting Liu2 and Wai Tong Chien1
Abstract
Background Solid fuels are still widely used for cooking in rural China, leading to various health implications. Yet,
studies on household air pollution and its impact on depression remain scarce. Using baseline data from the China
Kadoorie Biobank (CKB) study, we aimed to investigate the relationship between solid fuel use for cooking and
depression among adults in rural China.
Methods Data on exposure to household air pollution from cooking with solid fuels were collected and the Chinese
version of the World Health Organization Composite International Diagnostic Interview short-form (CIDI-SF) was used
to evaluate the status of major depressive episode. Logistic regression analysis was performed to investigate the asso-
ciation between solid fuel use for cooking and depression.
Results Amongst 283,170 participants, 68% of them used solid fuels for cooking. A total of 2,171 (0.8%) participants
reported of having a major depressive episode in the past 12 months. Adjusted analysis showed that participants who
had exposure to solid fuels used for cooking for up to 20 years, more than 20 to 35 years, and more than 35 years were
1.09 (95% CI: 0.94–1.27), 1.18 (95% CI: 1.01–1.38), and 1.19 (95% CI: 1.01–1.40) times greater odds of having a major
depressive episode, respectively, compared with those who had no previous exposure to solid fuels used for cooking.
Conclusion The findings highlight that longer exposure to solid fuels used for cooking would be associated with
increased odds of major depressive episode. In spite of the uncertainty of causal relationship between them, using
solid fuels for cooking can lead to undesirable household air pollution. Reducing the use of solid fuels for cooking by
promoting the use of clean energy should be encouraged.
Keywords Solid fuel, Cooking, Depression, Household air pollution
Background
Depression is one of the most common mental health
disorders, affecting more than 280 million people glob-
ally [1]. A recent systematic review and meta-analysis
*Correspondence:
Mei Sin Chong
jomeisin@link.cuhk.edu.hk
1 The Nethersole School of Nursing, Faculty of Medicine, The Chinese
University of Hong Kong, 6/F, Esther Lee Building, Horse Material Water,
Shatin, New Territories, Hong Kong SAR, China
2 School of Nursing, Sun Yat Sen University, Guangzhou, China
revealed that the 12-month and lifetime prevalence rates
of major depressive disorder in China were 1.6% and
1.8%, respectively, and the percentages had been increas-
ing over time [2]. If the population in China is estimated
to be 1.426 billion in 2023 [3], the 12-month prevalence
of major depressive disorder may reach over 22.8 million
of individuals. A longitudinal population study in Aus-
tralia suggested that the severity of depression is a major
predictor for suicidal ideation and suicidal attempt [4].
Based on a recent meta-analysis on 15 studies, the preva-
lence of suicidal attempt in a lifetime among individuals
© The Author(s) 2023. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which
permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the
original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or
other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line
to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory
regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this
licence, visit http://creativecommons.org/licenses/by/4.0/. The Creative Commons Public Domain Dedication waiver (http://creativecom-
mons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated in a credit line to the data.
Chair et al. BMC Public Health (2023) 23:1081
Page 2 of 9
with major depressive disorder was 3.45 times higher
than those without major depressive disorder [5]. A
study conducted in mainland China reported that the
prevalence of suicidal ideation was 16.7% among 1,916
patients (18–70 years old) with major depressive disor-
der [6]. Symptoms of major depressive disorder, such as
low mood, anhedonia and impaired cognition, are one of
the key contributors to functional impairment [7], which
could cause a great economic burden to the society. A
study by Rayner et al. [8] reported that there was a signif-
icant correlation between total healthcare costs (i.e., acci-
dent and emergency department visits, hospitalizations,
and visits to doctor) and depression. In addition, patients
with multimorbidity and depression had more than twice
the inpatient costs compared with those without depres-
sion [9]. The estimated health burden from depression
has been continuously increasing over the years. More
recently, a systematic review reported that major depres-
sive disorder was accounted for 49 million disability-
adjusted life-years in 2020 [10].
Approximately 2.4 billion people still use solid fuels
such as animal dung, wood, and coal for cooking glob-
ally [11]. To date, solid fuels are extensively used in
China, especially in rural households. There are half
a billion people (40% of total population) in mainland
China living in rural areas [12], with more than three-
fourths of these rural households using solid fuels for
cooking [13]. Incomplete combustion of solid fuels pro-
duces compounds such as carbon monoxide, sulphur
dioxide, black carbon and PM2.5(fine particulate matter
with a diameter of less or equal to 2.5 μm) [14]. Con-
centrations of PM2.5 from household air pollution due
to cooking with solid fuels can be substantially high,
causing up to 40% higher PM2.5exposure compared
with the indoor and outdoor environments [15]. Previ-
ous studies have confirmed that the exposure to solid
fuel use contributes to adverse health effects such as
sleep disturbance [16], chronic bronchitis and obstruc-
tive pulmonary disease [17], hypertension [18] and an
increased risk of cardiovascular disease hospitalization
and stroke among rural population [19]. A nationwide
prospective cohort study also reported significant asso-
ciation between using solid fuels for cooking and car-
diovascular mortality in China [20].
A longitudinal study conducted in the United States
reported that individuals with previous 30-day exposure
to ambient fine PM were 1.2 times more likely to have
moderate to severe depressive symptoms [21]. Based on
a national longitudinal survey in China, cooking with
solid fuels was associated with a higher risk of depressive
symptoms among individuals aged 60 years and above
[22]. Similarly, a cohort study also reported positive
association between solid fuel use and depression [21].
However, the study conducted by Pun et al. [21] in the
urban areas of the United States did not focus specifically
on household use of solid fuels as the source of air pollu-
tion. Meanwhile, the studies conducted by Li et al. [22]
and Shao et al. [23] were restricted to middle-aged and
older Chinese population living in urban or rural areas.
Air pollutant emissions from solid fuels are associated
with adverse health effects. In recent decades, improved
cookstoves and combustion technologies have been
implemented but a large number of individuals remain
using solid fuels for cooking. Despite the important role
of solid fuels in producing energy, its potential detrimen-
tal impact on mental health demands urgent attention.
There is a lack of studies focusing on the use of epidemio-
logical data to investigate the association between solid
fuel use and depression in developing countries; con-
cerns arise as China is the second most populous coun-
try where 40% of the population are living in rural areas
and actively using solid fuels for cooking. It is crucial to
investigate the relationship between these two variables
specifically in rural China with a large-scale study. There-
fore, this current study aimed to investigate the associa-
tion between using solid fuels for cooking and depression
in rural China.
Methods
Study design and population
This study employed a secondary data analysis using the
baseline data from the China Kadoorie Biobank (CKB)
study. The original CKB study was conducted between
2004 and 2008, which recruited over 0.5 million adults
from 10 regions across mainland China. After provid-
ing informed written consent, each participant attended
a face-to-face interview and a physical examination.
A total of 512,681 adults aged between 30 and 79 years
(without any major disability) with permanent residence
were included in this baseline survey. A standardized
electronic questionnaire was used to collect participant
information including sociodemographic characteristics,
lifestyle habits, exposure to passive smoking and domes-
tic indoor air pollution, medical history, physical activity,
and mental health status. The questionnaire used can be
accessed via the official website of CKB (https:// www.
ckbio bank. org/ study- resou rces/ survey- data). Each par-
ticipant’s resting blood pressure (BP) was measured using
the A&D digital BP monitor (Model No.: UA-779). A
body composition analyzer (Model No.: TBF-300GS) was
used to measure body mass index (BMI), while a stand-
ing height measuring instrument was used to measure
weight and height. BMI is calculated by using this for-
mula: the participant’s weight in kilograms (kg) divided
by the square of height (H) in meters (m), (BMI = kg/ H2)
[24]. BMI at 28 kg / m2is recommended as the cut-off
Chair et al. BMC Public Health (2023) 23:1081
Page 3 of 9
point for obesity for the Chinese people [25, 26]. More
detailed information about the original CKB study has
been previously reported [27–29]. Ethics approvals for
the CKB study were obtained from the Chinese Center
for Disease Control and Prevention (Approval Notice
005/2004) and the Oxford Tropical Research Ethics
Committee (OxTREC Ref: 025–04) of the University of
Oxford. The study was conducted in line with the princi-
ples outlined in the Declaration of Helsinki.
Measurements
Exposure to household use of solid fuels
The approach of Yu et al. [20] was followed to calculate
the durations of exposure to solid fuels used for cooking
and heating separately. Participants were asked to pro-
vide detailed information about their exposure to house-
hold use of solid fuels for cooking and heating, including
related information such as the duration (in years) they
lived in their three most recent residences, frequency of
cooking in each residence, types of fuels used for cook-
ing and heating, and availability of cookstove ventila-
tion (chimney or extractor). Participants who reported
that they cooked less often than once a month in a resi-
dence were considered as noncooking and regarded as
having no exposure to solid fuel used for cooking. Par-
ticipants who reported that they cooked at least once
a month were then asked to provide additional infor-
mation related to the types of primary fuels they used.
There are two categories of primary fuels, namely “clean
fuels” such as gas and electricity, and “solid fuels” such
as wood and coal [30]. The total duration (in years) of
household use of solid fuels for cooking was calculated
by summing up the duration of using solid fuels as the
primary cooking fuel in each residence. Likewise, par-
ticipants who used solid fuels for heating in winter were
asked further questions about the types of primary fuels
they used, and the total duration (in years) of household
use of solid fuels for heating was calculated by sum-
ming up the corresponding duration in each residence.
The level of exposure to solid fuels used for heating was
estimated by multiplying a weight coefficient to years of
solid fuels used for heating, of which the weight coef-
ficient was calculated based on the average portion of
years with temperature less than 8 degree Celsius in each
of the residences from 1999 to 2013, ranging from 0.18
to 0.42, as detailed in Yu et al. [20].
Depression
In this study, major depressive episode was evaluated by
the Chinese version of the World Health Organization
Composite International Diagnostic Interview short-
form (CIDI-SF) [31]. As there is no gold standard for
assessing mental disorders in the CIDI-SF, this version
was calibrated rather than validated and produced simi-
lar population estimates of major depressive episode to
the Structured Clinical Interview for DSM-IV, which is
a state-of-the-art clinical research diagnostic interview
tool for mental disorders [32]. Participants were first
asked whether they had any of the following symptoms
lasting for ≥ 2 weeks in the past 12 months: a) feeling
much saddened, or depressed than usual; b) loss of inter-
est in most things like hobbies or activities that usually
gave you pleasure; c) feeling so hopeless and loss of appe-
tite even for your favorite food; d) feeling worthless and
useless, everything that went wrong was your fault, and
life was very difficult with no way out. If participants
answered “yes” to any of the above-mentioned situations,
they were further assessed for major depression using
CIDI-SF through a face-to-face interview by trained
health professionals. Participants who reported at least
3 out of 7 depression symptoms (i.e., 1) weight change,
2) difficulty in sleeping, 3) losing interest in things, 4)
feeling tired or low on energy, 5) trouble concentrating,
6) feeling worthless, or 7) thoughts about death) in the
CIDI-SF questionnaire were considered likely to have
major depression [33].
Covariates
Adjustment for covariates was performed in this analy-
sis, including sociodemographic characteristics (i.e., age,
gender, marital status, education level and annual house-
hold income), lifestyle habits (i.e., smoking status, alcohol
assumption, and physical activity), health status (i.e., BMI
and blood pressure), stressful life events in the past two
years, passive smoking, cookstove ventilation, and expo-
sure to solid fuels used for heating. Smoking status was
classified into four categories: 1) never smoke, 2) quit-
ted, 3) occasional smoker, and 4) current smoker. Partici-
pants were classified as a “regular alcohol drinker” if they
reported that they drank alcohol “usually at least once a
week.” Otherwise, they were classified as a “non-regular
drinker.” Physical activity was estimated as metabolic
equivalent task hours per day spent on activities related
to occupation, commuting, housework, and non-sed-
entary leisure-time activities. Exposure to stressful life
events (Yes/No) was defined as the occurrence of com-
mon major life events in the past two years, such as death
of a spouse, marital separation/divorce, traffic accident
and major natural disaster. Exposure to passive smok-
ing was assessed by self-report responses to the question
related to frequency of secondhand smoking exposure.
The variable was categorized into 4 levels (none, > 0 to
2 h/week, > 2 to 12 h/week, > 12 h/week). The cut-off
points were conventionally selected based on the tertile
points among those who had exposure to passive smok-
ing, with the three exposure categories being anticipated
Chair et al. BMC Public Health (2023) 23:1081
Page 4 of 9
to reflect low, middle and high levels of exposure to pas-
sive smoking.
non-exposure group with over 80% power at 2-sided 5%
level of significance.
Statistical analysis
All statistical analyses were conducted using the IBM
SPSS 25.0 (IBM Corp., Armonk, NY). Data were sum-
marized descriptively using statistics including means,
standard deviations, frequencies and percentages. For
continuous variables, skewness statistics and normal-
ity probability plots were used to assess normality. In
this study, the outcome of interest was status of major
depressive episode in the past year (Yes/No). The pri-
mary exposure of interest was duration of solid fuels
used for cooking which was categorized into four lev-
els. Specifically, those participants who had no previ-
ous exposure to solid fuels used for cooking or always
used clean fuels were categorized as the reference
group. The remaining participants were conventionally
stratified into three tertiles to characterize low, mid-
dle and high levels of exposure with totally four levels
for the exposure factor: (i) none, (ii) > 0 to 20 years,
(iii) > 20 to ≤ 35 years, (iv) > 35 years. Likewise, the expo-
sure to solid fuels used for heating was categorized
into four levels: (i) none, (ii) > 0 to 8.2 years, (iii) > 8.2
to ≤ 13.5 years, (iv) > 13.5 years. The association between
major depression in the past year and exposure to solid
fuels used for cooking was examined by logistic regres-
sion analysis. Unadjusted and adjusted logistic regres-
sion analyses were conducted with adjustment for the
covariates of sociodemographic characteristics and life-
style habits, presence of stressful life events in the past
two years, presence of cookstove ventilation, exposure
to passive smoking, and level of exposure to solid fuels
used for heating. As the time scope of the outcome of
major depressive episode was the past 12 months from
the time of survey, it was possible that some partici-
pants might have a major depressive episode prior to
exposure to solid fuel usage. A sensitivity analysis was
therefore conducted by excluding those participants
who had no more than one year of solid fuel usage
before the survey. All tests involved were 2-sided at 5%
level of significance.
A total of 283,170 participants were included in this
secondary data analysis study. Among them, 2,171 par-
ticipants were classified as having major depressive
episode in the past year, and there were totally 91,611
participants without exposure to solid fuels used for
cooking and 61,873 to 65,612 participants with differ-
ent levels of exposure to solid fuels used for cooking.
Such a sample size is adequate to detect an odds ratio
of having major depressive episode of as small as 1.17
when comparing anyone of the exposure groups with the
Results
Characteristics of the study population
Amongst 283,170 participants who were included in
the baseline survey of the CKB study, the average age
was 51.4 (SD = 10.5) years, and 58.2% of them were
female. About 68% of them used solid fuels for cook-
ing, with a 27-year median. More than half of the study
sample (67%) had at least some cookstove ventilation.
Nearly 23% participants had exposure to passive smok-
ing for more than 12 h per week. A total of 2,171 (0.8%)
participants reported major depressive episode in the
past year. Characteristics of the study population strati-
fied by levels of exposure to solid fuels used for cooking
are shown in Table 1.
Association between household use of solid fuels
for cooking and major depressive episode
Based on their duration of exposure to solid fuels used
for cooking, participants were categorized into four lev-
els: (i) none, (ii) > 0 to 20 years, (iii) > 20 to ≤ 35 years,
(iv) > 35 years. Those participants who had no previous
exposure to solid fuels used for cooking or always used
clean fuels for cooking were categorized as the refer-
ence group (none exposure). The remaining partici-
pants were conventionally stratified into three tertiles
to characterize low, middle and high levels of exposure.
Unadjusted logistic regression analysis showed that
an increased level of exposure to solid fuels used for
cooking was associated with an increased odds of hav-
ing a major depressive episode (unadjusted model in
Table 2). After adjusting for sociodemographic charac-
teristics, obesity and lifestyle habits, presence of stress-
ful life events, presence of cookstove ventilation, passive
smoking exposure, and level of exposure to solid fuels
used for heating, the pattern of association between
an increased odds of having a major depressive epi-
sode and an increased level of exposure was also noted.
Participants who had exposure to solid fuels used for
cooking for up to 20 years, more than 20 to 35 years,
and more than 35 years were 1.09 (95% CI 0.94–1.27),
1.18 (95% CI: 1.01–1.38) and 1.19 (95% CI: 1.01–1.40)
times greater odds of having a major depressive episode,
respectively, compared with those who had no previous
exposure to solid fuel used for cooking or always used
clean fuels for cooking (adjusted model 1 in Table 2). A
sensitivity analysis was conducted by excluding those
participants who had no more than one year of solid
fuel usage before the survey, the results were similar to
the primary analysis one (adjusted model 2 in Table 2).
Chair et al. BMC Public Health (2023) 23:1081
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Table 1 Characteristics of the study population by level of exposure to solid fuels used for cooking (N = 283,170)
Level of exposure to solid fuels used for cooking
All
(N = 283,170)
None
(n = 91,611)
> 0 to 20 years
(n = 64,524)
> 20 to 35 years
(n = 65,162)
> 35 years
(n = 61,873)
46,577 (16.4%)
84,487 (29.8%)
88,697 (31.3%)
48,441 (17.1%)
14,968 (5.3%)
15,809 (17.3%)
20,298 (31.5%)
5053 (7.8%)
27,860 (30.4%)
21,798 (33.8%)
23,623 (36.3%)
27,153 (29.6%)
13,257 (20.5%)
28,678 (44.0%)
15,640 (17.1%)
6924 (10.7%)
5149 (5.6%)
2247 (3.5%)
6181 (9.5%)
1627 (2.5%)
118,260 (41.8%)
79,634 (86.9%)
20,576 (31.9%)
9111 (14.0%)
164,910 (58.2%)
11,977 (13.1%)
43,948 (68.1%)
56,051 (86.0%)
5417 (8.8%)
11,206 (18.1%)
19,609 (31.7%)
19,696 (31.8%)
5945 (9.6%)
8939 (14.4%)
52,934 (85.6%)
259,280 (91.6%)
87,231 (95.2%)
60,204 (93.3%)
60,226 (92.4%)
51,619 (83.4%)
21,671 (7.7%)
2219 (0.8%)
3666 (4.0%)
714 (0.8%)
3906 (6.1%)
414 (0.6%)
4551 (7.0%)
385 (0.6%)
9548 (15.4%)
706 (1.1%)
Characteristics
Demographics
Age (years)
30 – < 40
40 – < 50
50 – < 60
60 – < 70
≥ 70
Sex
Male
Female
Marital status
Married
Widowed / separated / divorced
Never married
Highest education attainment
No formal school
Primary school
67,740 (23.9%)
13,190 (14.4%)
12,506 (19.4%)
18,147 (27.8%)
118,593 (41.9%)
37,707 (41.2%)
24,332 (37.7%)
28,739 (44.1%)
Middle school / high school
93,744 (33.1%)
38,923 (42.5%)
26,722 (41.4%)
18,032 (27.7%)
Technical school / college/ university
3093 (1.1%)
1791 (2.0%)
964 (1.5%)
244 (0.4%)
Household income in last year (Yuan)
< 5,000
5,000 – 9,999
10,000 – 19,999
20,000 – 34,999
≥ 35,000
Obesity status and lifestyle characteristics
Obesity status
41,918 (14.8%)
70,752 (25.0%)
81,352 (28.7%)
54,285 (19.2%)
34,863 (12.3%)
10,238 (11.2%)
6634 (10.3%)
8255 (12.7%)
20,794 (22.7%)
14,517 (22.5%)
16,663 (25.6%)
25,492 (27.8%)
19,283 (29.9%)
20,737 (31.8%)
19,522 (21.3%)
14,783 (22.9%)
12,725 (19.5%)
15,565 (17.0%)
9307 (14.4%)
6782 (10.4%)
Normal weight (18.5 ≤ BMI < 23.9)
Overweight (24.0 ≤ BMI < 27.9)
Obese (BMI ≥ 28.0)
Under weight (BMI < 18.5)
162,222 (57.3%)
56,475 (61.6%)
36,709 (56.9%)
34,507 (53.0%)
82,596 (29.2%)
24,858 (27.1%)
19,271 (29.9%)
20,821 (32.0%)
22,982 (8.1%)
15,368 (5.4%)
5442 (5.9%)
4835 (5.3%)
5379 (8.3%)
3165 (4.9%)
6813 (10.5%)
3021 (4.6%)
23,897 (38.6%)
27,815 (45.0%)
10,067 (16.3%)
94 (0.2%)
16,791 (27.1%)
18,778 (30.3%)
15,840 (25.6%)
7255 (11.7%)
3209 (5.2%)
34,531 (55.8%)
17,646 (28.5%)
5348 (8.6%)
4347 (7.0%)
Smoking status
Never smoke
Quitted
Occasional smoker
Current smoker
Regular alcohol drinker
No
Yes
Physical activity, MET – hours/daya
Stressful life event & sleep disturbance
Stressful life event in the past two years
175,263 (61.9%)
23,540 (25.7%)
46,351 (71.8%)
55,238 (84.8%)
50,134 (81.0%)
16,919 (6.0%)
12,954 (4.6%)
9841 (10.7%)
7445 (8.1%)
3181 (4.9%)
2438 (3.8%)
1614 (2.5%)
1455 (2.2%)
78,034 (27.6%)
50,785 (55.4%)
12,554 (19.5%)
6855 (10.5%)
2283 (3.7%)
1616 (2.6%)
7840 (12.7%)
245,061 (86.5%)
69,241 (75.6%)
57,499 (89.1%)
60,967 (93.6%)
57,354 (92.7%)
38,109 (13.5%)
22,370 (24.4%)
7025 (10.9%)
23.2 (14.5)
24.8 (16.2)
24.4 (14.7)
4195 (6.4%)
22.2 (13.0)
4519 (7.3%)
20.7 (12.4)
No
Yes
261,388 (92.3%)
85,582 (93.4%)
59,660 (92.5%)
59,988 (92.1%)
56,158 (90.8%)
21,782 (7.7%)
6029 (6.6%)
4864 (7.5%)
5174 (7.9%)
5715 (9.2%)
Cook stove ventilation & passive smoking exposure
Had at least some cook stove ventilation
No
94,242 (33.3%)
27,318 (29.9%)
23,802 (36.9%)
24,207 (37.2%)
18,915 (30.6%)
Chair et al. BMC Public Health (2023) 23:1081
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Table 1 (continued)
Characteristics
Yes
Passive smoking exposure
None
> 0 to 2 h/week
> 2 to 12 h/week
> 12 h/week
Level of exposure to solid fuels used for cooking
All
(N = 283,170)
None
(n = 91,611)
> 0 to 20 years
(n = 64,524)
> 20 to 35 years
(n = 65,162)
> 35 years
(n = 61,873)
188,570 (66.7%)
64,034 (70.1%)
40,661 (63.1%)
40,934 (62.8%)
42,941 (69.4%)
91,358 (32.3%)
62,116 (21.9%)
65,490 (23.1%)
64,206 (22.7%)
28,650 (31.3%)
22,290 (34.5%)
19,727 (30.3%)
18,898 (20.6%)
14,138 (21.9%)
15,068 (23.1%)
22,473 (24.5%)
14,402 (22.3%)
14,921 (22.9%)
21,590 (23.6%)
13,694 (21.2%)
15,446 (23.7%)
Solid fuels usage for heating
Level of exposure to solid fuels used for heatingb
None
> 0 to 8.2 years
> 8.2 to 13.5 years
> 13.5 years
Major depression
Major depression episode in the past year
108,153 (38.5%)
38,143 (42.0%)
26,444 (41.3%)
22,064 (34.1%)
57,408 (20.4%)
59,153 (21.1%)
56,252 (20.0%)
13,163 (14.5%)
18,968 (29.6%)
16,993 (26.3%)
19,568 (21.5%)
11,307 (17.6%)
14,500 (22.4%)
19,975 (22.0%)
7385 (11.5%)
11,155 (17.2%)
20,691 (33.4%)
14,012 (22.6%)
13,694 (22.1%)
13,476 (21.8%)
21,502 (35.1%)
8284 (13.5%)
13,778 (22.5%)
17,737 (28.9%)
No
Yes
280,999 (99.2%)
91,161 (99.5%)
64,032 (99.2%)
64,548 (99.1%)
61,258 (99.0%)
2171 (0.8%)
450 (0.5%)
492 (0.8%)
614 (0.9%)
615 (1.0%)
Variables with data marked with a are presented as mean (standard deviation), all others are presented as frequency (%)
b There were less than 0.8% (n = 2204) of participants without detailed information about fuels used for heating
Table 2 Risk of major depression episode by level of exposure to solid fuels used for cooking
Sensitivity analysis
Unadjusted model
Adjusted model 1
Adjusted model 2
Exposure factor
Odds ratio (95% CI)
p-value
Odds ratio (95% CI)
p-value
Odds ratio (95% CI)
p-value
Level of exposure to solid fuels used for cooking
None (ref )
1
> 0 to 20 years
1.56 (1.37 – 1.77)
> 20 to 35 years
1.93 (1.71 – 2.18)
> 35 years
2.03 (1.80 – 2.30)
< 0.001
< 0.001
< 0.001
1
1.09 (0.94 – 1.27)
1.18 (1.01 – 1.38)
1.19 (1.01 – 1.40)
0.249
0.034
0.033
1
1.08 (0.93 – 1.25)
1.18 (1.01 – 1.38)
1.18 (1.01 – 1.39)
0.316
0.041
0.043
Model 1: with adjustment for demographic, obesity and lifestyle characteristics, presence of stressful life event, presence of cook stove ventilation, passive smoking
exposure, and level of exposure to solid fuels used for heating as listed in Table 1
Model 2: with adjustment for covariates in model 1 and excluding those participants who used solid fuels for cooking but had no more than one year of solid fuel
used for cooking into analysis (n = 622 excluded)
ref reference category for calculating odds ratios of other comparison categories
Discussion
Approximately 46% of the population in China used
solid fuels as a household energy source, leading to
household air pollution; and the proportion was sub-
stantially higher in rural areas [13, 23]. In fact, the pre-
sent study found that 68% of rural residents used solid
fuels for cooking. To the best of our knowledge, this is
the largest national study to explore the relationship
between solid fuel use and depression in rural China.
The results revealed an association between household
use of solid fuels for cooking and major depression,
particularly for those who had used solid fuels for more
than 20 years, after controlling for potential confound-
ing covariates, including sociodemographic charac-
teristics, lifestyle habits, health status, presence of
stressful life events, presence of cookstove ventilation,
passive smoking exposure, and exposure to solid fuels
used for heating. Although participants with longer
exposure generally associated with an increased odds
of having a major depressive episode, the odds ratio of
the longest exposure group (> 35 years, OR = 1.19) was
unexpectedly similar to the second longest exposure
Chair et al. BMC Public Health (2023) 23:1081
Page 7 of 9
group (> 20 to 35 years, OR = 1.18). A possible explana-
tion may be owing to the fact that people with longer
exposure were more likely subject to a competing risk
of death, which may diminish the strength of associa-
tion, particularly in the longest exposure group.
There is a growing body of evidence that solid fuel
use is associated with a high risk of depression [22, 23],
which is consistent with the current findings. Individu-
als (N= 8637) with exposure to solid fuel combustion for
over 4 years had 1.12 times greater odds of having depres-
sive symptoms [23]. Supported by the following longitu-
dinal survey (N= 7005) [22], individuals using solid fuels
in cooking for more than 7 years had 1.36 times greater
odds of depression risk than those who always used clean
fuels.
This study, together with the aforementioned previous
studies, provides evidence on the association between
the exposure to solid fuels and the prevalence of depres-
sion. However, only limited evidence exists on the mech-
anisms linking the use of solid fuels for cooking with
depression. The incomplete combustion of solid fuels
generates various air pollutants including PM, carbon
monoxide, sulfur oxides, and polycyclic aromatic hydro-
carbons [34, 35]. One possible explanation may be that
inhalation of air pollutants can trigger associated oxida-
tive stress, cerebrovascular damage, neuroinflammation,
and neurodegenerative pathology, which all might cause
or exacerbate the risk of depression [36–38]. Animal
experience revealed that PM might cause neurotoxic-
ity by inducing microglia activation characterized by
the release of TNFα, which damages the olfactory bulb
and increases depression risk [39]. Moreover, studies
indicated that PM causes elevated levels of cortisol [40],
which has been related to the development of depres-
sion [41]. Furthermore, domestic cooking with solid
fuels could increase the risk of chronic diseases, such as
cancer and cardiorespiratory diseases [19, 42], which are
strongly associated with depression [43, 44].
In rural China, solid fuels are reported to be the domi-
nant cooking fuel, with biomass and coal accounting for
47.6% [45] and 13.5% [46], respectively. Our study gives
valuable insights into the potential hazardous effects of
using solid fuels for cooking on mental health. It indicates
household solid fuels used for cooking is a critical public
health issue and that policy makers must take responsi-
bility to make the needed policy changes. It is necessary
to encourage people to switch to cleaner fuels and tech-
nologies when cooking to reduce exposure to household
air pollution. Moreover, in this study, depressive episode
was more prevalent in those without cookstove ventila-
tion. This result is in line with those of the previous stud-
ies [22, 47], showing that cooking ventilation may weaken
the relationship of cooking with solid fuel and long
duration cooking with depressive symptoms, suggest-
ing that improvements in cooking ventilation should be
strongly encouraged.
As a remark, although people with longer exposure to
solid fuels used for cooking generally associated with an
increased odds of having a major depression episode,
the odds ratio of the longest exposure group (> 35 years,
OR = 1.19) was unexpectedly similar to the second long-
est exposure group (> 20 to 35 years, OR = 1.18). A possi-
ble explanation may be owing to the fact that people with
longer exposure were more likely subject to a competing
risk of death, which may diminish the strength of associa-
tion, particularly in the longest exposure group.
Despite the significance of the findings, there are sev-
eral limitations in this study that may impact the gener-
alisability of this study. First, the cross-sectional study
design assesses both outcome of interest and exposure
simultaneously. Therefore, it may not be able to estab-
lish a cause-and-effect relationship between household
solid fuels used for cooking and depression. In addi-
tion, self-reported information is prone to recall bias
when participants fail to accurately remember an event
in the past. Nonetheless, the overestimation or underes-
timation of association between cause and effect may be
resolved through a longitudinal cohort study in which an
event may be observed first, followed by the effects. On
the other hand, different cooking practices and chemical
properties of fuel such as density, volatility and thermal
capacity which could affect the indoor air pollution were
not examined in the CKB study. Hence, this could result
in imprecision of actual exposure to solid fuels used for
cooking. Although this study had controlled for poten-
tial confounders (e.g., sociodemographic characteristics,
obesity status and lifestyle habits, presence of stressful
life events, presence of cookstove ventilation and passive
smoking exposure), the results might be confounded by
other unmeasured covariates. This is because our study
was a secondary data analysis where the adjusted analysis
was only able to be performed based on existing available
variables.
Conclusion
This study demonstrates the significant association
between the use of household solid fuels for cooking
and the prevalence of depression in rural China; and the
longer duration of exposure, the higher odds of having
a depressive episode. Further studies are warranted to
examine if there is a causal relationship between them.
Nevertheless, reducing the use of solid fuels for cook-
ing by promoting the use of clean energy should be
encouraged.
Acknowledgements
Not applicable.
Chair et al. BMC Public Health (2023) 23:1081
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Authors’ contributions
Sek Ying Chair contributed to the conceptualization of the manuscript,
writing of the original draft, reviewing and editing the manuscript. Kai Chow
Choi contributed to the formal analysis, data curation, writing, reviewing and
editing the manuscript. Mei Sin Chong contributed to writing, reviewing and
editing the manuscript. Ting Liu contributed to writing, reviewing and editing
the manuscript. Wai Tong Chien contributed to writing, reviewing and editing
the manuscript. All authors read and approved the final manuscript.
Funding
This study was funded by grants from the National Key Research and
Development Program of China (2016YFC0900500, 2016YFC0900501,
2016YFC0900504), the Kadoorie Charitable Foundation in Hong Kong, and
Wellcome Trust (088158/Z/09/Z, 104085/Z/14/Z, 104085/Z/14/Z) in the UK.
Availability of data and materials
The datasets used and analyzed during this current study are available from
the corresponding author on reasonable request.
Declarations
Ethics approval and consent to participate
The CKB study was conducted in line with the principles outlined in the
Declaration of Helsinki; ethics approvals were obtained from the Chinese
Center for Disease Control and Prevention and the Oxford Tropical Research
Ethics Committee of the University of Oxford; and an informed consent was
obtained from each participant [26].
Consent for publication
Not applicable.
Competing interests
The authors declare no competing interests.
Received: 16 March 2023 Accepted: 1 June 2023
References
1. World Health Organization. Depression. 2021. https:// www. who. int/
news- room/ fact- sheets/ detail/ depre ssion. Accessed 20 Nov 2022.
2. Zhao YJ, Jin Y, Rao WW, et al. Prevalence of major depressive disorder
among adults in China: a systematic review and meta-analysis. Front
Psychiatry. 2021;12:659470. https:// doi. org/ 10. 3389/ fpsyt. 2021. 659470.
3. United Nations. India overtakes China as the world’s most populous
country. 2023. https:// www. un. org/ devel opment/ desa/ pd/ sites/ www. un.
org. devel opment. desa. pd/ files/ undesa_ pd_ 2023_ policy- brief- 153. pdf .
Accessed 3 May 2023.
4. Handley T, Rich J, Davies K, Lewin T, Kelly B. The challenges of predicting
suicidal thoughts and behaviours in a sample of rural Australians with
depression. Int J Environ Res Public Health. 2018;15(5):928. https:// doi.
org/ 10. 3390/ ijerp h1505 0928.
5. Cai H, Xie XM, Zhang Q, Cui X, Lin JX, Sim K, Ungvari GS, Zhang L, Xiang
YT. Prevalence of suicidality in major depressive disorder: a systematic
review and meta-analysis of comparative studies. Front Psychiatry.
2021;12:690130. https:// doi. org/ 10. 3389/ fpsyt. 2021. 690130.
6. Ge F, Jiang J, Wang Y, Yuan C, Zhang W. Identifying suicidal ideation
among Chinese patients with major depressive disorder: evidence from
a real-world hospital-based study in China. Neuropsychiatr Dis Treat.
2020;16:665–72. https:// doi. org/ 10. 2147/ NDT. S2382 86.
7. Chow TK, Bowie CR, Morton M, Lalovic A, McInerney SJ, Rizvi SJ. Contribu-
tors of functional impairment in major depressive disorder: a biopsycho-
social approach. Curr Behav Neurosci Rep. 2022;9:59–72. https:// doi. org/
10. 1007/ s40473- 022- 00247-y.
8. Rayner L, Hotopf M, Petkova H, Matcham F, Simpson A, McCracken LM.
Depression in patients with chronic pain attending a specialised pain
treatment centre: prevalence and impact on health care costs. Pain.
2016;157(7):1472–9. https:// doi. org/ 10. 1097/j. pain. 00000 00000 000542.
9. Bock JO, Luppa M, Brettschneider C, et al. Impact of depression on health
care utilization and costs among multimorbid patients–from the Multi-
Care Cohort Study. PLoS One. 2014;9(3):e91973. https:// doi. org/ 10. 1371/
journ al. pone. 00919 73.
10. COVID-19 Mental Disorders Collaborators. Global prevalence and burden
of depressive and anxiety disorders in 204 countries and territories
in 2020 due to the COVID-19 pandemic. Lancet (London, England).
2021;398:1700–12. https:// doi. org/ 10. 1016/ S0140- 6736(21) 02143-7.
11. World Health Organization. Household air pollution: key facts.
2022. https:// www. who. int/ news- room/ fact- sheets/ detail/ house hold- air-
pollu tion- and- healt h#: ~: text= World wide% 2C% 20aro und% 202.4% 20bil
lion% 20peo ple,and% 20i . Accessed 22 Jan 2023.
12. NBSC. China statistical yearbook-2019. Beijing: China Statistics Press; 2019.
13. Tang X, Liao H. Energy poverty and solid fuels use in rural China: analysis
based on national population census. Energy Sustain Dev. 2014;23:122–9.
https:// doi. org/ 10. 1016/J. ESD. 2014. 08. 006.
14. Shen G, Xing R, Zhou Y, et al. Revisiting the proportion of clean house-
hold energy users in rural China by accounting for energy stacking.
Sustainable Horizons. 2022;1:100010. https:// doi. org/ 10. 1016/j. horiz. 2022.
100010.
15 Xu H, Li Y, Guinot B, et al. Personal exposure of PM2. 5 emitted from solid
fuels combustion for household heating and cooking in rural Guanzhong
Plain, northwestern China. Atmos Environ. 2018;185:196–206. https:// doi.
org/ 10. 1016/j. atmos env. 2018. 05. 018.
16. Chair SY, Choi KC, Cao X, et al. Association between household solid fuel
use for cooking and sleep disturbance in rural China: findings from the
China Kadoorie Biobank data. Sleep Med. 2021;83:13–20. https:// doi. org/
10. 1016/J. SLEEP. 2021. 04. 029.
17. Po JY, FitzGerald JM, Carlsten C. Respiratory disease associated with solid
biomass fuel exposure in rural women and children: systematic review
and meta-analysis. Thorax. 2011;66:232–9. https:// doi. org/ 10. 1136/ THX.
2010. 147884.
18. Yan Z, Liu Y, Yin Q, et al. Impact of household solid fuel use on blood pres-
sure and hypertension among adults in China. Air Qual Atmos Health.
2016;9:931–40. https:// doi. org/ 10. 1007/ S11869- 016- 0395-2/ TABLES/5.
19. Hystad P, Duong M, Brauer M, et al. Health effects of household solid fuel
use: Findings from 11 Countries within the prospective urban and rural
epidemiology study. Environ Health Perspect. 2019;127(5):57003. https://
doi. org/ 10. 1289/ EHP39 15.
20. Yu K, Qiu G, Chan KH, et al. Association of solid fuel use with risk of cardio-
vascular and all-cause mortality in rural China. JAMA. 2018;319(13):1351–
61. https:// doi. org/ 10. 1001/ jama. 2018. 2151.
21. Pun VC, Manjourides J, Suh H. Association of ambient air pollution with
depressive and anxiety symptoms in older adults: Results from the
NSHAP study. Environ Health Perspect. 2017;125(3):342–8. https:// doi.
org/ 10. 1289/ EHP494.
22. Li C, Zhou Y, Ding L. Effects of long-term household air pollution expo-
sure from solid fuel use on depression: evidence from national longitudi-
nal surveys from 2011 to 2018. Environ Pollut. 2021;283:117350. https://
doi. org/ 10. 1016/j. envpol. 2021. 117350.
23. Shao J, Ge T, Liu Y, Zhao Z, Xia Y. Longitudinal associations between
household solid fuel use and depression in middle-aged and older Chi-
nese population: a cohort study. Ecotoxicol Environ Saf. 2021;209:111833.
https:// doi. org/ 10. 1016/j. ecoenv. 2020. 111833.
24. Lemmens HJ, Brodsky JB, Bernstein DP. Estimating ideal body weight–a
new formula. Obes Surg. 2005;15(7):1082–3.
25. Xu W, Zhang H, Paillard-Borg S, Zhu H, Qi X, Rizzuto D. Prevalence of over-
weight and obesity among Chinese adults: role of adiposity indicators
and age. Obes Facts. 2016;9(1):17–28. https:// doi. org/ 10. 1159/ 00044 3003.
26. Zhou B, Coorperative Meta-Analysis Group of China Obesity Task Force.
Predictive values of body mass index and waist circumference to risk fac-
tors of related diseases in Chinese adult population. Zhonghua Liu Xing
Bing Xue Za Zhi. 2002;23(1):5–10.
27. Chen Z, Lee L, Chen J, et al. Cohort profile: the Kadoorie Study of Chronic
Disease in China (KSCDC). Int J Epidemiol. 2005;34(6):1243–9. https:// doi.
org/ 10. 1093/ ije/ dyi174.
28 Chen Z, Chen J, Collins R, et al. China Kadoorie Biobank of 0.5 million peo-
ple: survey methods, baseline characteristics and long-term follow-up. Int
J Epidemiol. 2011;40(6):1652–66. https:// doi. org/ 10. 1093/ ije/ dyr120.
Chair et al. BMC Public Health (2023) 23:1081
Page 9 of 9
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in pub-
lished maps and institutional affiliations.
29. Li LM, Lv J, Guo Y, et al. The China Kadoorie Biobank: Related methodol-
ogy and baseline characteristics of the participants. Zhonghua Liu Xing
Bing Xue Za Zhi. 2012;33(3):249–55.
30. Wang S, Luo K. Life expectancy impacts due to heating energy utilization
in China: Distribution, relations, and policy implications. Sci Total Environ.
2018;610–611:1047–56. https:// doi. org/ 10. 1016/j. scito tenv. 2017. 08. 195.
31. Kessler RC, Andrews G, Mroczek D, et al. The World Health Organization
Composite International Diagnostic Interview short-form (CIDI-SF). Int J
of Methods Psychiatr Res. 1998;7:171–85. https:// doi. org/ 10. 1002/ MPR. 47.
32. Sun X, Zheng B, Lv J, Guo Y, Bian Z, Yang L, Chen Y, Fu Z, Guo H, Liang P,
Chen Z, Chen J, Li L, Yu C, China Kadoorie Biobank (CKB) Collaborative
Group. Sleep behavior and depression: findings from the China Kadoorie
Biobank of 0.5 million Chinese adults. J Affect Disord. 2018;229:120–4.
https:// doi. org/ 10. 1016/j. jad. 2017. 12. 058.
33 Meng R, Yu C, Liu N, et al. Association of depression with all-cause and
cardiovascular disease mortality among adults in China. JAMA Netw
Open. 2020;3(2):e1921043. https:// doi. org/ 10. 1001/ jaman etwor kopen.
2019. 21043. Published 2020 Feb 5.
34. Shen G, Chen Y, Du W, et al. Exposure and size distribution of nitrated and
oxygenated polycyclic aromatic hydrocarbons among the population
using different household fuels. Environ Pollut. 2016;216:935–42. https://
doi. org/ 10. 1016/j. envpol. 2016. 07. 002.
35. Zhang H, Zhu T, Wang S, et al. Indoor emissions of carbonaceous aerosol
and other air pollutants from household fuel burning in Southwest China.
Aerosol Air Qual Res. 2014;14:1779–88. https:// doi. org/ 10. 4209/ aaqr. 2013.
10. 0305.
36. Bhatt S, Nagappa AN, Patil CR. Role of oxidative stress in depression. Drug
Discov Today. 2020;25(7):1270–6. https:// doi. org/ 10. 1016/j. drudis. 2020. 05.
001.
37. Calderón-Garcidueñas L, Calderón-Garcidueñas A, Torres-Jardón R, Avila-
Ramírez J, Kulesza RJ, Angiulli AD. Air pollution and your brain: what do
you need to know right now. Prim Health Care Res Dev. 2015;16(4):329–
45. https:// doi. org/ 10. 1017/ S1463 42361 40003 6X.
38. Hurley LL, Tizabi Y. Neuroinflammation, neurodegeneration, and
depression. Neurotox Res. 2013;23(2):131–44. https:// doi. org/ 10. 1007/
s12640- 012- 9348-1.
39. Ji X, Liu R, Guo J, et al. Olfactory bulb microglia activation mediated
neuronal death in real-ambient particulate matter exposure mice with
depression-like behaviors. Sci Total Environ. 2022;821:153456. https:// doi.
org/ 10. 1016/j. scito tenv. 2022. 153456.
40 Li H, Cai J, Chen R, et al. Particulate matter exposure and stress hormone
levels: a randomized, double-blind, crossover trial of air purification
[published correction appears in Circulation. 2017 Sep 12;136(11):e199].
Circulation. 2017;136(7):618–27. https:// doi. org/ 10. 1161/ CIRCU LATIO
NAHA. 116. 026796.
41. Stetler C, Miller GE. Depression and hypothalamic-pituitary-adrenal acti-
vation: a quantitative summary of four decades of research. Psychosom
Med. 2011;73(2):114–26. https:// doi. org/ 10. 1097/ PSY. 0b013 e3182 0ad12b.
42. Balmes JR. Household air pollution from domestic combustion of solid
fuels and health. J Allergy Clin Immunol. 2019;143(6):1979–87. https:// doi.
org/ 10. 1016/j. jaci. 2019. 04. 016.
43. Carnevali L, Montano N, Statello R, Sgoifo A. Rodent models of
depression-cardiovascular comorbidity: bridging the known to the new.
Neurosci Biobehav Rev. 2017;76(Pt A):144–53. https:// doi. org/ 10. 1016/j.
neubi orev. 2016. 11. 006.
44. Carvalho AF, Hyphantis T, Sales PM, et al. Major depressive disorder in
breast cancer: a critical systematic review of pharmacological and psy-
chotherapeutic clinical trials. Cancer Treat Rev. 2014;40(3):349–55. https://
doi. org/ 10. 1016/j. ctrv. 2013. 09. 009.
45. Hou B, Liao H, Huang J. Household cooking fuel choice and economic
poverty: Evidence from a nationwide survey in China. Energy and Buil.
2018;166:319–29. https:// doi. org/ 10. 1016/j. enbui ld. 2018. 02. 012.
46. Duan X, Jiang Y, Wang B, et al. Household fuel use for cooking and
heating in China: results from the first Chinese Environmental Exposure-
Related Human Activity Patterns Survey (CEERHAPS). Appl Energy.
2014;136:692–703. https:// doi. org/ 10. 1016/j. apene rgy. 2014. 09. 066.
47. Liao W, Liu X, Kang N, et al. Effect modification of kitchen ventilation on
the associations of solid fuel use and long-duration cooking with the
increased prevalence of depressive and anxiety symptoms: the Henan
Rural Cohort Study. Indoor Air. 2022;32(3):e13016. https:// doi. org/ 10.
1111/ ina. 13016.
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| null |
10.1371_journal.pone.0257370.pdf
|
Data Availability Statement: This study was
registered in the Open Science Framework Registry
(https://osf.io/rqve6). The review protocol can be
accessed at https://bookdown.org/MathiasHarrer/
Doing_Meta_Analysis_in_R/. Data are available
from the Dryad Data Repository (https://datadryad.
org/stash/dataset/doi:10.6078/D10T42).
|
This study was registered in the Open Science Framework Registry ( https://osf.io/rqve6 ). The review protocol can be accessed at https://bookdown.org/MathiasHarrer/ Doing_Meta_Analysis_in_R/ . Data are available from the Dryad Data Repository ( https://datadryad. org/stash/dataset/doi:10.6078/D10T42 ).
|
RESEARCH ARTICLE
Short-term elevations in glucocorticoids do
not alter telomere lengths: A systematic
review and meta-analysis of non-primate
vertebrate studies
Lauren ZaneID
1*, David C. EnsmingerID
1
1,2, Jose´ Pablo Va´ zquez-MedinaID
a1111111111
a1111111111
a1111111111
a1111111111
a1111111111
OPEN ACCESS
Citation: Zane L, Ensminger DC, Va´zquez-Medina
JP (2021) Short-term elevations in glucocorticoids
do not alter telomere lengths: A systematic review
and meta-analysis of non-primate vertebrate
studies. PLoS ONE 16(10): e0257370. https://doi.
org/10.1371/journal.pone.0257370
Editor: Gabriele Saretzki, University of Newcastle,
UNITED KINGDOM
Received: April 28, 2021
Accepted: August 29, 2021
Published: October 1, 2021
Copyright: © 2021 Zane et al. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
Data Availability Statement: This study was
registered in the Open Science Framework Registry
(https://osf.io/rqve6). The review protocol can be
accessed at https://bookdown.org/MathiasHarrer/
Doing_Meta_Analysis_in_R/. Data are available
from the Dryad Data Repository (https://datadryad.
org/stash/dataset/doi:10.6078/D10T42).
Funding: The authors received no specific funding
for this work.
Competing interests: The authors have declared
that no competing interests exist.
1 Department of Integrative Biology, University of California, Berkeley, CA, United States of America,
2 Department of Biological Sciences, San Jose State University, San Jose, CA, United States of America
* laurenzane@berkeley.edu
Abstract
Background
The neuroendocrine stress response allows vertebrates to cope with stressors via the acti-
vation of the Hypothalamic-Pituitary-Adrenal (HPA) axis, which ultimately results in the
secretion of glucocorticoids (GCs). Glucocorticoids have pleiotropic effects on behavior and
physiology, and might influence telomere length dynamics. During a stress event, GCs
mobilize energy towards survival mechanisms rather than to telomere maintenance. Addi-
tionally, reactive oxygen species produced in response to increased GC levels can damage
telomeres, also leading to telomere shortening. In our systematic review and meta-analysis,
we tested whether GC levels impact telomere length and if this relationship differs among
time frame, life history stage, or stressor type. We hypothesized that elevated GC levels are
linked to a decrease in telomere length.
Methods
We conducted a literature search for studies investigating the relationship between telomere
length and GCs in non-human vertebrates using four search engines: Web of Science, Goo-
gle Scholar, Pubmed and Scopus, last searched on September 27th, 2020. This review
identified 31 studies examining the relationship between GCs and telomere length. We
pooled the data using Fisher’s Z for 15 of these studies. All quantitative studies underwent a
risk of bias assessment. This systematic review study was registered in the Open Science
Framework Registry (https://osf.io/rqve6).
Results
The pooled effect size from fifteen studies and 1066 study organisms shows no relationship
between GCs and telomere length (Fisher’s Z = 0.1042, 95% CI = 0.0235; 0.1836). Our
meta-analysis synthesizes results from 15 different taxa from the mammalian, avian,
amphibian groups. While these results support some previous findings, other studies have
found a direct relationship between GCs and telomere dynamics, suggesting underlying
PLOS ONE | https://doi.org/10.1371/journal.pone.0257370 October 1, 2021
1 / 17
PLOS ONEElevated glucocorticoids and telomere attrition
mechanisms or concepts that were not taken into account in our analysis. The risk of bias
assessment revealed an overall low risk of bias with occasional instances of bias from miss-
ing outcome data or bias in the reported result.
Conclusion
We highlight the need for more targeted experiments to understand how conditions, such as
experimental timeframes, stressor(s), and stressor magnitudes can drive a relationship
between the neuroendocrine stress response and telomere length.
Introduction
The vertebrate neuroendocrine stress response integrates external stimuli into a broad range
of physiological adjustments through the activation of the Hypothalamic-Pituitary-Adrenal
axis (HPA axis) and the concomitant secretion of glucocorticoids (GCs) [1, 2]. While the pri-
mary GC produced varies by taxa (e.g., cortisol in humans and corticosterone in birds and
other mammals [3]), the impacts of GCs on organismal physiology are remarkably similar.
Across species, an increase in GC secretion can typically be detected in 3–5 minutes following
interaction with a stressor [4]. Additionally, GCs are relatively easy to quantify because they
are present in all vertebrates and can be measured noninvasively in multiple matrices includ-
ing hair and feces using a variety of assays [5, 6]. Therefore, wildlife stress physiology studies
often rely on GC measurements as an indicator of the neuroendocrine stress response [7]. Fol-
lowing their secretion, GCs induce a myriad of acute behavioral and physiological effects to
prioritize immediate survival [8, 9].
In addition to allowing animals to cope with immediate stressors, GCs can influence other
cellular processes such as telomere length dynamics. Telomeres are evolutionarily conserved
caps that protect chromosomes against the loss of coding nucleotides during cell replication
and against chromosomal fusion [10]. Telomere shortening is associated with aging, the neu-
roendocrine stress response, and survival, and is thus of interest to several fields of biology [1,
11]. In humans, increased telomere loss predicts the onset of age-related diseases, cardiovascu-
lar complications, cellular senescence, and other aging phenotypes [12, 13]. Telomere attrition
can be attributed to several causes including the “end replication problem” in which the termi-
nal end of linear DNA cannot be completely replicated by the lagging strand [14]. Since the
end replication problem occurs at every cell division, telomeres continuously shorten with age
progression [15]. Other stressors such as inflammatory challenges erode telomeres regardless
of age [16].
In non-human vertebrates including birds, mammals, fish, amphibians and reptiles, expo-
sure to challenging environmental conditions correlates with shorter telomeres [17, 18].
Reproductive stressors such as an artificially increased brood size can also shorten telomeres
in zebra finch parents compared to controls and parents with a reduced brood size [19]. Early
telomere length is positively correlated with survival and lifetime breeding success in both wild
purple-crowned fairy wrens and zebra finches. Thus, individuals with longer telomeres are
more likely to survive and produce more offspring that survive to maturity [20, 21]. Therefore,
telomere dynamics—the change in telomere length attributed to processes of elongation and
shortening—is related to organismal fitness [22]. In addition to impacting telomere length,
stressors that lead to energy limitation such as psychological stress, disease, accelerated growth,
nutrient shortage and work load activate the HPA axis causing the release of GCs [23].
PLOS ONE | https://doi.org/10.1371/journal.pone.0257370 October 1, 2021
2 / 17
PLOS ONEElevated glucocorticoids and telomere attrition
Thus, several hypothesized connections between GCs and telomere length exist. Firstly,
GCs are an essential part of the vertebrate stress response, and their primary function is to
mobilize energy [5]. Accordingly, the “metabolic telomere attrition hypothesis” proposes that
during events that require an increased amount of energy and metabolic rates, telomeres are
shortened as collateral [20]. As a result of the high energy expenditure, the energetically expen-
sive maintenance of telomeres cannot take place as an emergency survival mechanism due to a
shift in energy allocation [23]. In addition, GCs stimulate the generation of reactive oxygen
species (ROS) and subsequent oxidative damage to telomeres, which are particularly suscepti-
ble to oxidation due to a high guanine content [11, 24–26]. Finally, cortisol reduces telomerase
—the enzyme responsible for telomere maintenance—activity in human T lymphocytes [27].
This reduction in telomerase activity can result in excessive telomere attrition [28]. Since wild-
life face an array of stressors throughout their lifetime and these stressors can erode telomeres,
GCs may play a mechanistic role in telomere loss [1].
External stressors cause pleiotropic effects that can potentially influence telomere dynamics,
however the evidence for a causal relationship between GCs and telomere length is sparse.
Two recent literature reviews on the topic by Angelier et.al 2018 and Casagrande and Hau
2019 [11, 23] summarize the potential relationship between GCs and telomere length. How-
ever, it is essential to build a quantitative understanding of the relationships between the neu-
roendocrine stress response and its downstream effects. In this study, we review the existing
literature for empirical evidence of the relationship between GC secretion and telomere length
to better understand the underlying mechanism of telomere shortening as well as potential
consequences of the neuroendocrine stress response in non-primate vertebrates. Using a
meta-analytical framework, we tested whether GC levels impact telomere length and if this
relationship can differ among time frame, life history stage, or stressor type. We hypothesized
that elevated GC levels are linked to a decrease in telomere length.
Methods
Literature search and study selection
We conducted a literature search for studies investigating the relationship between telomere
length and GC levels in non-human vertebrates using four search engines: Web of Science,
Google Scholar, Pubmed and Scopus. Five subsets of the following keywords ‘reactive oxygen
species,’ ‘antioxidant,’ ‘glucocorticoid,’ ‘cortisol,’ ‘corticosterone,’ ‘telomere length,’ ‘chronic
stress,’ ‘oxidative stress,’ ‘acute stress,’ ‘chronic stress,’ ‘telomeres,’ and ‘HPA axis,’ were con-
ducted in each search engine. We did not specify a time frame in our literature search. Addi-
tional records were obtained from the reference section of studies included in the meta-
analysis. Our study includes a qualitative synthesis of 31 full-text, peer-reviewed studies, and
we report effect sizes for 15 of these studies.
Studies were excluded if (1) GCs were administered, but physiological measurements such
as feather or plasma GC levels were not taken. Such studies were excluded because it would
not be possible to calculate the appropriate effect size (Fisher’s Z) for correlation data. For
homogeneity in effect size calculation and statistical analysis, we did not include studies in
which (2) GCs and telomere length were not specifically measured at two different time points
(before or after treatment) (3) raw data was not accessible to use for the effect size calculation,
or (4) telomere length measurements or GC measurements were log transformed.
Statistical data analyses
Meta-analysis. We conducted statistical analyses exclusively on studies with raw data
available. When data was not publicly accessible, we contacted authors via email for consensual
PLOS ONE | https://doi.org/10.1371/journal.pone.0257370 October 1, 2021
3 / 17
PLOS ONEElevated glucocorticoids and telomere attrition
access. For each study, the correlation coefficient (R2) was calculated by fitting a linear mixed
model using the “lme4” R package (version 3.6.1, R Development Core Team, Boston, MA).
When possible, random effects such as multiple blood draws from a single individual were
incorporated in the linear mixed model (LMER) to account for variability not captured by
explanatory parameters. For studies where a random effect could not be determined, a linear
model (LM) was fitted. From the LMs and LMERs, R2 values were obtained from the model
and converted into Fisher’s Z, then adjusted for sample size and combined into a pooled effect
size (Fisher’s Z; Z) using the R package “meta”. The random-effects model meta-analysis was
implemented in our study as this model accounts for the assumption that studies come from
different populations, rather than the same population. These pooled effect sizes were then
visualized in a forest plot.
The “meta” package was also used to assess the statistical difference between observed and
fixed effect model estimate of effect size (Cochrane’s Q) and the percent of variability in effect
sizes that is not caused by sampling error (I2). After estimating heterogeneity, we identified
potential outliers. Studies were classified as outliers if the study had an effect size with a confi-
dence interval that did not intersect with the confidence interval of the pooled effect size.
Since some studies can have a larger influence on the pooled effect size than others due to
its sample size or individual effect size, we conducted an influence analysis. The analysis was
conducted by omitting each study one at a time and simulating the pooled effect size, with a
confidence interval had the study not been included. This influence analysis was represented
in a Baujat plot, which shows the contribution of each study to heterogeneity as Cochrane’s Q,
and compares this to the study’s influence on the pooled effect size.
Subgroup analysis. Since experimental design can affect the outcome of a study, differ-
ences in effect size may be attributed to these variables. As such, further sources of between-
study heterogeneity were investigated through subgroup analysis and meta-regression. In the
subgroup analysis, studies were grouped based on different categorical experimental parame-
ters. We completed eight different subgroup analyses for the following parameters—duration
of stressor, type of GC assay, telomere assay, species, taxa, study type, life history stage, and
stressor type. For each subgroup analysis, a pooled effect size (Fisher’s Z) was calculated. We
then compared pooled effect sizes and tested for between-study subgroup differences. The
meta-regression was analogous to the subgroup analysis, except the parameter of investigation
is continuous rather than categorical. We conducted one meta-regression for publication year
and subsequently tested for between-study subgroup differences. For all analyses the signifi-
cance threshold was set at p<0.05.
In the subgroup analysis, studies included in the meta-analysis were clustered based on cat-
egorical grouping and represented as a pooled effect size with a 95% confidence interval. The
between study difference was indicated by Cochrane’s Q and the subsequent p-value for this
statistical measure. The first subgroup analysis “stressor duration” organized studies based on
the timeframe of the experiment—less than one week (n = 1), one to two weeks (n = 2), two to
three weeks (n = 7), three to four weeks (n = 1), or longer than four weeks (n = 4)—. The sec-
ond subgroup analysis, “type of stress” compared anthropogenic (n = 5) to naturally occurring
stress (n = 7), or if stress was simulated by GC administration (n = 3). The subsequent sub-
group analysis “life history stage, “differentiates studies based on pre-maturate study organ-
isms (n = 12), or post-maturate study organisms (n = 3). Next, the subgroup “GC assay,”
separates studies into those that quantified plasma GCs (n = 13) or non-plasma GCs (n = 2).
Similarly, by performing the subgroup analysis for the variable “telomere assay” we hoped to
parse out potential differences between the three methods of telomere quantification: qPCR
(n = 7), TeloTAGGG (n = 1), and Telomerase Restriction Fragment (TRF; n = 7). The fifth
subgroup analysis contrasts avian (n = 12) and non-avian (n = 3) studies. To explore the
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PLOS ONEElevated glucocorticoids and telomere attrition
relationship between individual species, we performed an additional subgroup analysis for
each species included in the study. Finally, the subgroup analysis “study type” distinguished
studies based on study design: cross-sectional (n = 5), repeated measures (n = 2), or within
individual (n = 8) design.
Publication bias. Published studies may not accurately represent the total studies investi-
gating an area of research due to selective outcome reporting, missing studies and a higher
likelihood of publication of studies reporting a significant (p<0.05) result. While proving
selective outcome reporting and other forms of publication biases is challenging, missing stud-
ies can be visually represented using a funnel plot. Commonly, studies with small effect sizes
and small sample studies are likely to be missing, which can be depicted with funnel asymme-
try or holes in the funnel plot. We created a funnel plot by graphing effect size against study
precision, defined as the standard error of the effect size to visualize potential publication bias.
We also report an Egger’s test, which is represented by the intercept, it’s confidence interval,
and the associated p-value to determine if publication bias was statistically significant.
Risk of bias in included studies. We assessed studies for missing outcome-level data,
measurement of the outcomes, and outcome reporting in each included study. For the missing
outcome-level data domain, we considered studies that could not report values for telomere
length or GCs in less than 10% of total study organisms as low risk. We designated studies that
did not report these values for 10–50% of study organisms as moderate risk and studies that
did not report values for over 50% of GCs or telomere length, as high risk. Secondly, we based
risk of bias in the measurement of outcome on the type of GC and telomere measurement.
Low risk studies utilized plasma GCs or salivary GCs because these quantifications capture ele-
vations related to a short-term stress event within minutes. Studies that measured GCs in fecal
matter received a ranking of some concern because fecal GCs typically encapsulate cumulative
stress over the day rather than GCs related to a particular environmental stressor. Fecal GCs
also received a ranking of some concern due to potential variations related to storage and col-
lection times, which can affect the concentration of fecal GC metabolites in a sample [29]. We
considered studies that measured GCs in feathers as high risk because feathers incorporate
GCs in over a month. Additionally, we considered feather GC quantification as high risk
because feather preparation and GC extraction can vary greatly [30]. Finally, for the risk of
bias due to outcome reporting we denoted studies that based results off a subset of time points
or measurements high risk. We denoted studies that report results based on all time points
with low risk. We took these three domains into consideration when assessing overall risk of
bias.
Results
Literature search and study selection
We electronically screened 789 records for relevance from the following databases: Google
Scholar (n = 512), Web of Science (n = 105), PubMed (n = 72), and Scopus (n = 100). 2113
additional records were hand screened from the reference section of the 31 studies used in
qualitative analysis. Of the total 2902 records that were screened for relevance, 78 were
removed as duplicates and 2,489 did not fit criteria for our study. For example, some excluded
studies include human trials, cell culture work, or studies that only assessed research questions
pertaining to either telomere length or GC levels, but not both (Fig 1; S1 Table). Of the 183
assessed full-text articles, we removed 152 studies that did not fulfill our inclusion criteria. We
statistically analyzed 15 of the remaining 31 studies, the ones that provided raw data for analy-
sis either within the manuscript or after contacting the corresponding author [16, 22, 29–42].
The other 16 studies appeared to fit criteria but did not provide raw data for analysis [26, 30,
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PLOS ONEElevated glucocorticoids and telomere attrition
Fig 1. PRISMA diagram. PRISMA diagram showing the selection process for references included in the meta-analysis
of the effects of GCs on telomere length.
https://doi.org/10.1371/journal.pone.0257370.g001
43–55]. The literature and study selection process is illustrated using a PRISMA diagram
(Fig 1).
Meta-analysis
The random-effects model meta-analysis is represented as a pooled effect size (Fisher’s Z) with
95% confidence intervals (Fig 2). No studies were removed as outliers. The model found no
relationship between GC levels and telomere length (Fisher’s Z = 0.1042, CI = 0.0235; 0.1836).
Both heterogeneity measures, Cochrane’s Q (Q = 11.31, p = 0.6615) and I2 with 95% confi-
dence intervals (I2 = 0.0%; CI = 0.0%; 42.6%) yielded similar results.
The influence analysis indicated that theoretically removing one study at a time did not
yield pooled effect sizes (Fisher’s Z = 0.09–0.11) that differed from the original pooled effect
size (Fisher’s Z = 0.11, S1 Fig). Additionally, the influence analysis demonstrated that certain
studies unevenly impacted the pooled effect size and/or overall heterogeneity (S2 Fig), but no
studies were removed as outliers.
Subgroup analysis
The subgroup analysis for “stressor duration” found no differences between any of the tested
time frames (Table 1). The difference between-studies was not statistically significant
Fig 2. Forest plot. Distribution of effect sizes of GCs on telomere length and 95% CI of effect size. Dashed lines
represent pooled effect sizes using a random and fixed effect model. Heterogeneity (I2), the percent of variability in
effect sizes that is not caused by sampling error indicates very little variability in effect size. Weight indicates the
influence the study has on the overall pooled effect.
https://doi.org/10.1371/journal.pone.0257370.g002
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PLOS ONETable 1. Pooled effect sizes with 95% CI of experimental parameters investigated during the five subgroup analyses for stressor duration, stressor type, life history
stage, GC assay and taxa group.
Experimental Parameter
Number of Studies
Effect Size
(Fisher’s Z)
95% CI
Elevated glucocorticoids and telomere attrition
Stressor Duration
Type of Stress
Life History Stage
GC Assay
Taxa Group
Species
Capreolus capreolus
Coturnix japonica
Fregata magnificens
Hydrobates pelagicus
Parus major
Phalacrocorax aristotelis
Rana temporaria
Rissa tridactyla
Sterna hirundo
Sturnus unicolor
Tachycineta bicolor
Turdus merula
Welsh pony
Telomere Assay
Study Type
< 1 week n = 1
1–2 weeks n = 2
2–3 weeks n = 7
3–4 weeks n = 1
> 4 weeks n = 4
Anthropogenic n = 5
Naturally occurring n = 7
GC administration n = 3
Pre-maturation n = 12
Post-maturation n = 3
Plasma GCs n = 12
Non-Plasma GCs n = 3
Avian n = 12
Non-Avian n = 3
n = 1
n = 1
n = 1
n = 1
n = 2
n = 1
n = 1
n = 1
n = 1
n = 1
n = 2
n = 1
n = 1
n = 7
qPCR
TeloTAGGG n = 1
TRF n = 7
n = 5
Cross sectional
Repeated measure n = 2
Within individual n = 8
0.1902
0.1425
0.1111
0.0843
0.1012
0.1161
0.1012
0.1183
0.0135
0.0959
0.0741
0.0957
0.2181
0.0451
0.0993
0.0596
0.1306
0.4651
0.0707
0.1852
0.0067
0.0826
0.0957
0.0088
0.1134
0.0539
0.2693
0.1186
0.1306
0.0909
0.1687
0.0271
0.0984
-0.2717; 0.2965
-0.1663; 0.3454
-0.0157; 0.1628
-0.2950; 0.4591
0.0101; 0.4080
0.0059; 0.3621
-0.0388; 0.1284
-0.0320; 0.3085
0.0185; 0.2019
-0.1183; 0.2800
0.0061; 0.1945
-0.0437; 0.2701
0.0088; 0.1919
-0.0600; 0.0936
[-0.2072; 0.3881]
[-0.1973; 0.3089]
[-0.1232; 0.3684]
[0.0857; 0.7267]
[-0.1322; 0.2678]
[-0.0600; 0.2893]
[-0.1962; 0.2090]
[-0.1686; 0.3238]
[-0.2950; 0.4591]
[-0.1182; 0.1356]
[-0.2110; 0.4153]
[-0.3004; 0.3952]
[0.0252; 0.4831]
[-0.0089; 0.2424]
[-0.1232; 0.3684]
[-0.0409; 0.2197]
[-0.0219; 0.3474]
[-0.1336; 0.1864]
[0.0040; 0.1910]
The meta-regression was performed for the continuous variable publication year and represented as Cochrane’s Q and the associated p = value. Publication dates ranged
from 2014–2021. Publication date was not a significant predictor of effect size (Q = 1.252, p = 0.2632).
https://doi.org/10.1371/journal.pone.0257370.t001
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PLOS ONEElevated glucocorticoids and telomere attrition
(Q = 1.86, p = 0.7594). Similarly, the subgroup analysis for “stressor type,” did not reveal a dif-
ference between types of stressors (Table 1). The between study difference was not significantly
different (Q = 2.56, p = 0.2783). Likewise, our subgroup “life history stage,” did not show dif-
ferences between effect sizes for pre- and post-maturation organisms (Table 1), and did not
indicate a difference between groups (Q = 0.06, p = 0.8119). The fourth subgroup analysis,
“GC assay” did not find a difference between plasma GCs and other GC measurements, yield-
ing a non-significant difference between studies (Q = 0.03, p = 0.8742) (Table 1). Additionally,
the between study difference for the telomere assay subgroup did not find a significant differ-
ence between the three telomere quantification methods (Q = 0.12, p = 0.9401; Table 1). Our
sixth subgroup analysis examined potential differences in effect size due to taxa, which could
be divided into the binary categories avian and non-avian (Table 1). There was no difference
between-studies (Q = 0.03, p = 0.8666). Our analysis further explored species-specific differ-
ences and accordingly did not find a significant difference between species (Q = 9.27,
p = 0.6797). Similarly, the final analysis investigated potential differences between study
designs and yielded a non-significant difference between cross-sectional, repeated measures,
or within individual designs (Q = 1.27, p = 0.5289).
Publication bias
We found publication bias against studies with small sample size and small effect size (S3 Fig;
Egger’s test for small sample bias: intercept = 1.420616, CI = 0.3753223; 2.465909,
p = 0.02064949).
Risk of bias in included studies
We represent the results of the risk of bias analysis in Table 2. Four of fifteen studies received a
risk of bias ranking of moderate concern. These studies had some missing values for GCs or
telomere length or selectively reported one time point in the results. The other eleven studies
received a ranking of low risk and accordingly reported nearly all values for physiological
parameters, measured GCs in plasma or saliva, and did not selectively report results.
Table 2. Overall risk of bias assessed based on missing outcome data, measure of outcome and in the selection of reported results.
Author
Year
Bias due to missing outcome data
Bias in measure of outcome
Bias in the selection of reported result
Overall Risk of Bias
Bauch et. al
Burraco et. al
Casagrande et. al
Gil et. al
Grunst et. al
Hau et. al
Herborn et. al
Injaian et. al
Lansade et. al
Lemaitre et. al
Pegan et. al
Sebastiano et. al
Stier et. al
Watson et. al
Young et. al
2016
2019
2020
2019
2020
2015
2014
2019
2018
2021
2019
2017
2020
2016
2017
high
low
high
low
low
low
low
high
low
low
high
low
low
low
moderate
https://doi.org/10.1371/journal.pone.0257370.t002
low
low
low
low
high
low
low
low
low
moderate
low
low
low
low
low
high
low
low
low
low
low
low
high
low
low
low
low
low
low
high
some concern
low risk
some concern
low risk
low risk
low risk
low risk
high risk
low risk
low risk
some concern
low risk
low risk
low risk
some concern
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PLOS ONEElevated glucocorticoids and telomere attrition
Discussion
External and internal stimuli can activate the neuroendocrine stress response in vertebrates,
resulting in the secretion of GCs, which induces multiple downstream physiological and
behavioral effects [8, 9]. GCs might directly or indirectly cause telomere erosion [1, 11, 32].
Therefore, our goal was to investigate the relationship between GCs and telomere length via
meta-analysis using data from empirical studies. Though our sample size was limited (n = 15),
our data do not support the hypothesis that elevated GC levels result in telomere shortening.
The empirical evidence for a relationship between GCs and telomere length is mixed, with
some studies showing that telomere shortening is directly related to GC levels, and other stud-
ies finding no relationship. For example, GCs influence telomere dynamics in wild roe deer
and great tits [32, 39], but not in red squirrels or magellanic penguins [46, 47]. These results
suggest that the relationship between GCs and telomere length is species-specific. Alterna-
tively, a potential relationship may be obscured by the methods used to measure GCs and telo-
mere length or by differences in experimental design including time frame. A differential
sensitivity of the HPA axis can also obscure conclusions made from GC measurements espe-
cially in free-ranging vertebrates that can potentially encounter a variety of external stimuli
[1]. For example, since GC levels in plasma remain elevated for several minutes after a stressor
subsides, it can be challenging to assess whether a measured GC increase results from the
stressor in question, the stress involved in obtaining a sample from the experimental subject,
or an unrelated event triggering HPA axis activation [6, 56]. As baseline plasma GC samples
must be collected quickly in many species, it can be logistically difficult to attain a true baseline
GC value in the field [57–60]. GCs can also be incorporated into other matrixes such as saliva,
feathers, and hair [4, 58]. The multitude of non-invasive GC sampling sources is advantageous
to conservation physiology as their quantification does not require capture [6]. However,
across tissues and fluids, the time required for GC incorporation varies. For example, eleva-
tions in plasma GCs can be detected within minutes of stressor exposure, whereas GCs inte-
grate into hair a week or more after stressor exposure [4]. Hence, there are caveats in the
interpretation of each measurement such as incongruencies between GC levels in plasma and
other tissues, hair and saliva [60]. Therefore, GC measurements in feces may be more repre-
sentative of accumulated stress, rather than the event in question [6].
GC quantification in tissues and feces can also present specific uncertainty and imprecision
during sampling, storage, and extraction. In fecal samples, GC metabolites can increase up to
92% in 120 days and provide an inaccurate assessment of GC levels [61, 62]. Excrement not
collected immediately or across different time scales can obscure potential differences since
exposure to abiotic factors like rainfall or extreme temperature can alter the concentration of
fecal glucocorticoid metabolites [63]. Moreover, diet can affect GC metabolites in fecal sam-
ples, since an increased amount of cellulose depresses fecal glucocorticoid metabolite concen-
trations [61]. Similarly, feather preparation and extraction can also affect GC levels [64].
Further, different parts of the feather yield different concentrations of GCs. Saliva based GC
extraction and quantification hosts similar shortcomings, though salivary GCs increase on a
similar timeline (5–10 minutes) to circulating plasma GCs and thus prove a close proxy for
plasma GC quantification [65]. Other factors such as time since last meal and recent activity
also impact salivary GC measurement [66].
Similar considerations must be taken into account when assessing telomere length. Since
telomere length can be influenced by environmental, maternal, and epigenetic effects, there is
a large inter-individual variability in telomere dynamics [11, 67]. Several factors may contrib-
ute to this variability including discrepancies between the repeatability of different telomere
measurement assays. Seven studies included in our meta-analysis utilized the telomere
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PLOS ONEElevated glucocorticoids and telomere attrition
restriction fragment (TRF) assay, which depends on the distribution of the terminal restriction
fragments to average the length of telomeres in a given cell population [68]. The other eight
studies used the quantitative polymerase chain reaction (qPCR, n = 7), which relies on the
quantification of the highly conserved (TTAGGG)n sequence for a Southern blot variation
(TeloTAGGG for telomere quantification (n = 1) [69]. TRF-based studies are highly repeatable
within individuals, whereas qPCR based studies are less repeatable and more variable than
TRF because they are more prone to measurement errors [70]. qPCR can also bias measure-
ments of telomere length because some species that exhibit interstitial telomeric repeats will
artificially enlarge telomere length [71, 72]. In addition to methodological differences, there is
large individual variability in telomere length based on tissue type [73]. In adult zebra finches,
telomere length in red blood cells is correlated with telomere length in the spleen, liver and
brain, but not muscle or heart [31]. While avian studies in our meta-analysis used red blood
cells for telomere measurement, telomere length was measured in tail muscle and liver in
mammals and amphibians, which could lead to discrepancies when comparing among studies
[31, 46, 57].
A variety of biological factors also contribute to the diversity of telomere dynamics observed
within a study and the large amount of observed inter-individual variability. The rate of telo-
mere shortening can be influenced by the life histories and environmental conditions [22]. In
accordance with the metabolic telomere attrition hypothesis, shortening is exacerbated by life
history stages requiring more energy, such as reproduction [32]. Within an energy intensive
process like reproduction, there can be a large inter-individual variability related to reproduc-
tive effort, which can be attributed to brood size and food availability [74]. Differences in
reproductive roles during the breeding season account for sex-specific telomere dynamics
which can contribute to differences in the variability of telomere dynamics within a study [75].
Finally, individuals respond differently to environmental challenges which can act synergisti-
cally with rapid growth or energy intensive life stages to magnify the rate of telomere shorten-
ing in non-model vertebrates [71].
Telomere dynamics can be complicated by the presence of telomerase which in some cases
can elongate telomeres [22, 76]. Typically, telomerase exhibits higher activity in developing
organisms as compared to adults [77]. Ectotherms such as amphibians and reptiles have telo-
merase that is active throughout adulthood while endotherms reduce telomerase expression
almost to non-detectable levels as they reach maturity [11, 70]. However, there is conflicting
evidence on these observations, as telomerase activity has been detected in adult common
terns and European Storm Petrels among other species [78, 79]. Nonetheless, adult telomere
shortening is observed in chickens, which have active telomerase in the adult life stage [26].
While there is an absence of empirical evidence on the long-term activity of telomerase in
many avian species, even adults exhibit general shortening trends [76].
Many factors influence GC and telomere measurements. During the subgroup analysis, we
attempted to disentangle the underlying causes of the variation in effect size. Ultimately, we
found no impact of stressor, taxa, type of GC assay, or life history stage on the heterogeneity of
the effect size. While no subgroup was identified as a predictor of heterogeneity in effect size,
pooled effect sizes in certain categories with the subgroup indicate a higher pooled effect size
than the overall pooled effect size. The small sample size for some parameters precluded fur-
ther statistical analysis, however, we found variables of interest that may play a large role in the
relationship between GCs and telomere length. For example, within “experimental time-
frame,” (n = 4) the group of studies with a timeframe above four weeks had a pooled effect size
of 0.2181, while all other groups’ pooled effect size was less than that of the overall pooled effect
size. Since most studies took place in less than four weeks, this suggests that while almost
immediate changes in GCs can be observed, the impact of GCs on telomere length cannot be
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PLOS ONEElevated glucocorticoids and telomere attrition
seen on short time scales. This idea is consistent with typical responses of telomere shortening
observed in studies that take place for more than a year [29, 54, 79–81]. More work is needed
to explore if long-term rather than short-term studies can be used to tease apart parameters
that underlie the connection between GCs and telomere length such as stressor type or
duration.
While GC secretion is often viewed as the endpoint of HPA axis activation in response to
external stimuli, GC manipulation is an oversimplification of the stress response which
involves a multitude of physiological mechanisms that can each impact energy allocation and
promote telomere erosion [8]. This highlights the problematic nature of the category “GC
stress” which was investigated as a category during the subgroup analysis, in which studies
subjected organisms to GC manipulation via an implant or oral administration. Since previous
research found that organismal stress can result in adverse physiological responses without the
involvement of the HPA axis, these results underscore the issue of using only GCs as a proxy
for stress [82, 83].
Overall, we found no relationship between GCs and telomere length across studies. Cur-
rently, the existing literature shows both a direct relationship and a lack of a relationship
between GCs and telomere dynamics, suggesting that the underlying mechanisms driving this
relationship are species-specific or altered by differences in experimental design. However,
due to limited sample size, we are unable to investigate the underlying variables that play a role
in this relationship. Here, we highlight the need for more studies with targeted experimental
parameters to understand how conditions, such as experimental timeframes, stressor(s), and
stressor magnitudes can drive a potential relationship between the neuroendocrine stress
response and cellular aging. Thus, we recommend the following research priorities to groups
studying similar questions.
1. Experimental timeframes and stressor magnitudes should be long enough to observe telo-
mere erosion in relation to stressors when studying GCs.
2. When possible, studies should use a repeated measures design to measure cortisol levels
and telomere lengths before and after stress exposure to account for individual variation.
3. While the avian taxa are well represented in this research topic, there is a dearth of informa-
tion on other taxa. It will be important to investigate the neuroendocrine stress response in
other vertebrates including mammals and reptiles to understand if similar principles hold
true in these taxa or if telomere dynamics differ across taxa.
4. If possible, future research should assess the functionality of the study organisms’ HPA axis
by ACTH/dexamethasone challenge prior to exposure to a stressor and completion of the
study.
Certainty of evidence
We utilized the applicable Cochrane/GRADE categories “risk of bias,” “inconsistency,” and
“publication bias,” for the determination of the certainty of evidence. Overall, we have a mod-
erate confidence in the certainty of evidence. While most studies received a low risk of bias
assessment, and had low heterogeneity, we report a considerable amount of publication bias as
evidenced by Egger’s test and an asymmetrical funnel plot.
Supporting information
S1 Checklist. PRISMA 2020 checklist.
(PDF)
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PLOS ONEElevated glucocorticoids and telomere attrition
S1 Fig. Influence analysis plot. The leave one out recalculation reveals a similar effect size
across studies and indicates that studies evenly contribute to the pooled effect size.
(TIF)
S2 Fig. Baujat plot. Studies can have an unequal influence on the pooled effect size and con-
tribute to the heterogeneity of effect sizes. The horizontal axis represents Cochrane’s Q and
influence on the pooled effect size on the vertical axis.
(TIF)
S3 Fig. Funnel plot. The lack of studies in the bottom left of the “funnel” demonstrates publi-
cation bias against studies with small sample sizes and small effect sizes.
(TIF)
S1 Table. Search strategy table. Details search term combinations used to search online data-
bases and websites.
(XLSX)
Acknowledgments
We would like to thank all the researchers who made their data freely available for this study.
In particular, we thank Christine Bauch (University of Groningen), Stefania Casagrande (Max
Planck Institute for Ornithology), Britt Heidinger (North Dakota State University), Marie-
Pierre Moisan (French National Institute for Agriculture, Food, and Environment), Teresa
Pegan (University of Michigan), Manrico Sebastiano (French National Centre for Scientific
Research), Mathilde Tissier (Bishop’s University), and Hannah Watson (Lund University).
Author Contributions
Conceptualization: Lauren Zane, David C. Ensminger, Jose´ Pablo Va´zquez-Medina.
Data curation: Lauren Zane.
Formal analysis: Lauren Zane.
Funding acquisition: Jose´ Pablo Va´zquez-Medina.
Investigation: Lauren Zane.
Methodology: Lauren Zane, David C. Ensminger.
Project administration: David C. Ensminger.
Resources: David C. Ensminger.
Software: Lauren Zane.
Supervision: David C. Ensminger, Jose´ Pablo Va´zquez-Medina.
Validation: David C. Ensminger, Jose´ Pablo Va´zquez-Medina.
Visualization: Lauren Zane.
Writing – original draft: Lauren Zane.
Writing – review & editing: David C. Ensminger, Jose´ Pablo Va´zquez-Medina.
References
1. Haussmann MF, Marchetto NM. Telomeres: Linking stress and survival, ecology and evolution. Current
Zoology. 2010; 56(6):714–27.
PLOS ONE | https://doi.org/10.1371/journal.pone.0257370 October 1, 2021
12 / 17
PLOS ONEElevated glucocorticoids and telomere attrition
2. Wingfield JC, Sapolsky RM. Reproduction and Resistance to Stress: When and How: Reproduction
and resistance to stress. Journal of Neuroendocrinology. 2003; 1; 15(8):711–24. https://doi.org/10.
1046/j.1365-2826.2003.01033.x PMID: 12834431
3. Koren L, Whiteside D, Fahlman Å, Ruckstuhl K, Kutz S, Checkley S, et al. Cortisol and corticosterone
independence in cortisol-dominant wildlife. General and Comparative Endocrinology. 2012 May; 177
(1):113–9. https://doi.org/10.1016/j.ygcen.2012.02.020 PMID: 22449618
4. Gormally BMG, Romero LM. What are you actually measuring? A review of techniques that integrate
the stress response on distinct time-scales. Functional Ecology. 2020; 34(10):2030–44.
5. MacDougall-Shackleton SA, Bonier F, Romero LM, Moore IT. Glucocorticoids and “Stress” Are Not
Synonymous. Integrative Organismal Biology. 2019; 1(1).
6. Sheriff MJ, Dantzer B, Delehanty B, Palme R, Boonstra R. Measuring stress in wildlife: techniques for
quantifying glucocorticoids. Oecologia. 2011; 166(4):869–87. https://doi.org/10.1007/s00442-011-
1943-y PMID: 21344254
7. Arnold JM, Oswald SA, Voigt CC, Palme R, Braasch A, Bauch C, et al. Taking the stress out of blood
collection: comparison of field blood-sampling techniques for analysis of baseline corticosterone. Jour-
nal of Avian Biology. 2008; 39(5):588–92.
8. Angelier F, Wingfield JC. Importance of the glucocorticoid stress response in a changing world: Theory,
hypotheses and perspectives. General and Comparative Endocrinology. 2013; 190:118–28. https://doi.
org/10.1016/j.ygcen.2013.05.022 PMID: 23770214
9. Ricklefs RE, Wikelski M. The physiology/life-history nexus. Trends in Ecology & Evolution. 2002; 17
(10):462–8.
10. Young AJ. The role of telomeres in the mechanisms and evolution of life-history trade-offs and ageing.
Philosophical Transactions of the Royal Society B. 2018; 373(1741):20160452. https://doi.org/10.1098/
rstb.2016.0452 PMID: 29335379
11. Angelier F, Costantini D, Ble´ vin P, Chastel O. Do glucocorticoids mediate the link between environmen-
tal conditions and telomere dynamics in wild vertebrates? A review. General and Comparative Endocri-
nology. 2018; 256:99–111. https://doi.org/10.1016/j.ygcen.2017.07.007 PMID: 28705731
12. Campisi J, Andersen JK, Kapahi P, Melov S. Cellular senescence: A link between cancer and age-
related degenerative disease? Seminars in Cancer Biology. 2011; https://doi.org/10.1016/j.semcancer.
2011.09.001 PMID: 21925603
13. Donate LE, Blasco MA. Telomeres in cancer and ageing. Philosophical Transactions of the Royal Soci-
ety B. 2011; 366(1561):76–84. https://doi.org/10.1098/rstb.2010.0291 PMID: 21115533
14.
Levy MZ, Allsopp RC, Futcher AB, Greider CW, Harley CB. Telomere end-replication problem and cell
aging. Journal of Molecular Biology. 1992; 225(4):951–60. https://doi.org/10.1016/0022-2836(92)
90096-3 PMID: 1613801
15. Monaghan P. Organismal stress, telomeres and life histories. Journal of Experimental Biology. 2014;
217(1):57–66.
16. Sebastiano M, Eens M, Angelier F, Pineau K, Chastel O, Costantini D. Corticosterone, inflammation,
immune status and telomere length in frigatebird nestlings facing a severe herpesvirus infection. Con-
servation Physiology. 2017; 5(1):cow073. https://doi.org/10.1093/conphys/cow073 PMID: 28070333
17. Chatelain M, Drobniak SM, Szulkin M. The association between stressors and telomeres in non-human
vertebrates: a meta-analysis. Ecology Letters. 2020; 23(2):381–98. https://doi.org/10.1111/ele.13426
PMID: 31773847
18. Belmaker A, Hallinger KK, Glynn RA, Winkler DW, Haussmann MF. The environmental and genetic
determinants of chick telomere length in Tree Swallows (Tachycineta bicolor). Ecology and Evolution.
2019; 9(14):8175–86. https://doi.org/10.1002/ece3.5386 PMID: 31380080
19. Reichert S, Stier A, Zahn S, Arrive´ M, Bize P, Massemin S, et al. Increased brood size leads to persis-
tent eroded telomeres. Frontiers in Ecology and Evolution [Internet]. 2014; 2:9.
20. Eastwood JR, Hall ML, Teunissen N, Kingma SA, Hidalgo Aranzamendi N, Fan M, et al. Early-life telo-
mere length predicts lifespan and lifetime reproductive success in a wild bird. Molecular Ecology. 2019;
28(5):1127–37. https://doi.org/10.1111/mec.15002 PMID: 30592345
21. Heidinger BJ, Blount JD, Boner W, Griffiths K, Metcalfe NB, Monaghan P. Telomere length in early life
predicts lifespan. Proceedings of the National = Academy of Sciences. 2012; 109(5):1743–8. https://
doi.org/10.1073/pnas.1113306109 PMID: 22232671
22. Stier A, Metcalfe NB, Monaghan P. Pace and stability of embryonic development affect telomere
dynamics: an experimental study in a precocial bird model. Proceedings of the Royal Society B. 2020;
287(1933):20201378. https://doi.org/10.1098/rspb.2020.1378 PMID: 32842933
23. Casagrande S, Hau M. Telomere attrition: metabolic regulation and signalling function? Biol Lett. 2019;
15(3):20180885. https://doi.org/10.1098/rsbl.2018.0885 PMID: 30890069
PLOS ONE | https://doi.org/10.1371/journal.pone.0257370 October 1, 2021
13 / 17
PLOS ONEElevated glucocorticoids and telomere attrition
24. Reichert S, Stier A. Does oxidative stress shorten telomeres in vivo? A review. Biol Lett. 2017; 13
(12):20170463. https://doi.org/10.1098/rsbl.2017.0463 PMID: 29212750
25. Costantini D, Marasco V, Møller AP. A meta-analysis of glucocorticoids as modulators of oxidative
stress in vertebrates. Journal of Comparative Physiology B. 2011; 181, 447–456. https://doi.org/10.
1007/s00360-011-0566-2 PMID: 21416253
26. Haussmann MF, Longenecker AS, Marchetto NM, Juliano SA, Bowden RM. Embryonic exposure to
corticosterone modifies the juvenile stress response, oxidative stress and telomere length. Proceedings
of the Royal Society B. 2012; 279(1732):1447–56. https://doi.org/10.1098/rspb.2011.1913 PMID:
22072607
27. Choi J, Fauce SR, Effros RB. Reduced telomerase activity in human T lymphocytes exposed to cortisol.
Brain, Behavior, and Immunity. 2008; 22(4):600–5. https://doi.org/10.1016/j.bbi.2007.12.004 PMID:
18222063
28. Wei YB, Backlund L, Wegener G, Mathe AA, Lavebratt C. Telomerase Dysregulation in the Hippocam-
pus of a Rat Model of Depression: Normalization by Lithium. International Journal of Neuropsychophar-
macology. 2015; 18(7):pyv002–pyv002. https://doi.org/10.1093/ijnp/pyv002 PMID: 25618407
29. Bauch C, Riechert J, Verhulst S, Becker PH. Telomere length reflects reproductive effort indicated by
corticosterone levels in a long-lived seabird. Molecular Ecology. 2016; 25(22):5785–94. https://doi.org/
10.1111/mec.13874 PMID: 27696588
30. Burraco P, Valde´ s AE, Orizaola G. Metabolic costs of altered growth trajectories across life transitions
in amphibians. Journal of Animal Ecology. 2020; 89(3):855–66. https://doi.org/10.1111/1365-2656.
13138 PMID: 31693168
31. Casagrande S, Stier A, Monaghan P, Loveland JL, Boner W, Lupi S, et al. Increased glucocorticoid con-
centrations in early life cause mitochondrial inefficiency and short telomeres. Journal of Experimental
Biology. 2020; 223(15):jeb222513. https://doi.org/10.1242/jeb.222513 PMID: 32532864
32. Gil D, Alfonso-Iñiguez S, Pe´ rez-Rodrı´guez L, Muriel J, Monclu´ s R. Harsh conditions during early devel-
opment influence telomere length in an altricial passerine: Links with oxidative stress and corticoste-
roids. Journal of Evolutionary Biology. 2019; 32(1):111–25. https://doi.org/10.1111/jeb.13396 PMID:
30387533
33. Grunst ML, Raap T, Grunst AS, Pinxten R, Parenteau C, Angelier F, et al. Early-life exposure to artificial
light at night elevates physiological stress in free-living songbirds. Environmental Pollution. 2020;
259:113895. https://doi.org/10.1016/j.envpol.2019.113895 PMID: 31926393
34. Hau M, Haussmann MF, Greives TJ, Matlack C, Costantini D, Quetting M, et al. Repeated stressors in
adulthood increase the rate of biological ageing. Frontiers in Zoology. 2015; 12(1):4. https://doi.org/10.
1186/s12983-015-0095-z PMID: 25705242
35. Herborn KA, Heidinger BJ, Boner W, Noguera JC, Adam A, Daunt F, et al. Stress exposure in early
post-natal life reduces telomere length: an experimental demonstration in a long-lived seabird. Proceed-
ings of the Royal Society B. 2014; 281(1782):20133151. https://doi.org/10.1098/rspb.2013.3151 PMID:
24648221
36.
37.
38.
Injaian AS, Gonzalez-Gomez PL, Taff CC, Bird AK, Ziur AD, Patricelli GL, et al. Traffic noise exposure
alters nestling physiology and telomere attrition through direct, but not maternal, effects in a free-living
bird. General and Comparative Endocrinology. 2019; 276:14–21. https://doi.org/10.1016/j.ygcen.2019.
02.017 PMID: 30796896
Lansade L, Foury A, Reigner F, Vidament M, Guettier E, Bouvet G, et al. Progressive habituation to sep-
aration alleviates the negative effects of weaning in the mother and foal. Psychoneuroendocrinology.
2018; 97:59–68. https://doi.org/10.1016/j.psyneuen.2018.07.005 PMID: 30005282
Lemaıˆtre J-F, Carbillet J, Rey B, Palme R, Froy H, Wilbourn RV, et al. Short-term telomere dynamics is
associated with glucocorticoid levels in wild populations of roe deer. Comparative Biochemistry and
Physiology Part A: Molecular & Integrative Physiology. 2021; 252:110836. https://doi.org/10.1016/j.
cbpa.2020.110836 PMID: 33144154
39. Pegan TM, Winkler DW, Haussmann MF, Vitousek MN. Brief Increases in Corticosterone Affect Mor-
phology, Stress Responses, and Telomere Length but Not Postfledging Movements in a Wild Songbird.
Physiological and Biochemical Zoology. 2019; 92(3):274–85. https://doi.org/10.1086/702827 PMID:
30840539
40.
Tissier ML, Williams TD, Criscuolo F. Maternal Effects Underlie Ageing Costs of Growth in the Zebra
Finch (Taeniopygia guttata). White SA, editor. PLoS ONE. 2014; 9(5):e97705. https://doi.org/10.1371/
journal.pone.0097705 PMID: 24828412
41. Watson H, Bolton M, Heidinger BJ, Boner W, Monaghan P. Assessing the effects of repeated handling
on the physiology and condition of semi-precocial nestlings. IBIS International Journal of Avian Science.
2016; 158(4):834–43. https://doi.org/10.1111/ibi.12402 PMID: 27708454
PLOS ONE | https://doi.org/10.1371/journal.pone.0257370 October 1, 2021
14 / 17
PLOS ONEElevated glucocorticoids and telomere attrition
42. Young R, Orben R, Will A, Kitaysky A. Relationship between telomere dynamics and movement and
behavior during winter in the thick-billed murre. Marine Ecological Progress Series. 2017; 578:253–61.
43. Cerchiara JA, Risques RA, Prunkard D, Smith JR, Kane OJ, Boersma PD. Magellanic penguin telo-
meres do not shorten with age with increased reproductive effort, investment, and basal corticosterone.
Ecological Evolution. 2017; 7(15):5682–91. https://doi.org/10.1002/ece3.3128 PMID: 28811878
44. Dantzer B, van Kesteren F, Westrick SE, Boutin S, McAdam AG, Lane JE, et al. Maternal glucocorti-
coids promote offspring growth without inducing oxidative stress or shortening telomeres in wild red
squirrels. Journal of Experimental Biology. 2020; 223(1):jeb212373. https://doi.org/10.1242/jeb.212373
PMID: 31796605
45. Drury SS, Howell BR, Jones C, Esteves K, Morin E, Schlesinger R, et al. Shaping long-term primate
development: Telomere length trajectory as an indicator of early maternal maltreatment and predictor of
future physiologic regulation. Developmental Psychopathology. 2017; 29(5):1539–51. https://doi.org/
10.1017/S0954579417001225 PMID: 29162166
46. Gangoso L, Lambertucci SA, Cabezas S, Alarco´ n PAE, Wiemeyer GM, Sanchez-Zapata JA, et al. Sex-
dependent spatial structure of telomere length in a wild long-lived scavenger. Ecosphere. 2016; 7(10):
e01544.
47. Noguera JC, Velando A. Reduced telomere length in embryos exposed to predator cues. Journal of
Experimental Biology. 2019; 222(24):jeb216176. https://doi.org/10.1242/jeb.216176 PMID: 31796604
48. Noreikiene K, O¨ st M, Seltmann MW, Boner W, Monaghan P, Jaatinen K. Nest cover and faecal gluco-
corticoid metabolites are linked to hatching success and telomere length in breeding Common Eiders
(Somateria mollissima). Canadian Journal of Zoology. 2017; 95(9):695–703.
49. Ouyang JQ, Lendvai A´ Z, Moore IT, Bonier F, Haussmann MF. Do Hormones, Telomere Lengths, and
Oxidative Stress form an Integrated Phenotype? A Case Study in Free-Living Tree Swallows. Integra-
tive and Comparative Biology. 2016; 56(2):138–45. https://doi.org/10.1093/icb/icw044 PMID: 27252220
50. Quirici V, Guerrero CJ, Krause JS, Wingfield JC, Va´ squez RA. The relationship of telomere length to
baseline corticosterone levels in nestlings of an altricial passerine bird in natural populations. Frontiers
in Zoology 2016; 13(1):1. 22.
51. Schultner J, Moe B, Chastel O, Bech C, Kitaysky AS. Migration and stress during reproduction govern
telomere dynamics in a seabird. Biology Letters. 2014; 10(1):20130889. https://doi.org/10.1098/rsbl.
2013.0889 PMID: 24429681
52. Shen Q, Wu J, Ni Y, Xie X, Yu C, Xiao Q, et al. Exposure to jet lag aggravates depression-like behaviors
and age-related phenotypes in rats subject to chronic corticosterone. Acta Biochimica et Biophysica
Sinica. 2019; 51(8):834–44. https://doi.org/10.1093/abbs/gmz070 PMID: 31314053
53. Stevenson JR, McMahon EK, Boner W, Haussmann MF. Oxytocin administration prevents cellular
aging caused by social isolation. Psychoneuroendocrinology. 2019; 103:52–60. https://doi.org/10.1016/
j.psyneuen.2019.01.006 PMID: 30640038
54. Xie X, Shen Q, Ma L, Chen Y, Zhao B, Fu Z. Chronic corticosterone-induced depression mediates pre-
mature aging in rats. Journal of Affective Disorders; 229:254–61. https://doi.org/10.1016/j.jad.2017.12.
073 PMID: 29329057
55. Young RC, Welcker J, Barger CP, Hatch SA, Merkling T, Kitaiskaia EV, et al. Effects of developmental
conditions on growth, stress and telomeres in black-legged kittiwake chicks. Molecular Ecology. 2017;
26(13):3572–84. https://doi.org/10.1111/mec.14121 PMID: 28370751
56. Romero LM, Meister CJ, Cyr NE, Kenagy GJ, Wingfield JC. Seasonal glucocorticoid responses to cap-
ture in wild free-living mammals. American Journal of Physiology-Regulatory, Integrative and Compara-
tive Physiology. 2008; 294(2):R614–22. https://doi.org/10.1152/ajpregu.00752.2007 PMID: 18094060
57.
Tylan C, Camacho K, French S, Graham SP, Herr MW, Jones J, et al. Obtaining plasma to measure
baseline corticosterone concentrations in reptiles: How quick is quick enough? General and Compara-
tive Endocrinology. 2020; 287:113324. https://doi.org/10.1016/j.ygcen.2019.113324 PMID: 31733208
58. Dantzer B, Fletcher QE, Boonstra R, Sheriff MJ. Measures of physiological stress: a transparent or
opaque window into the status, management and conservation of species? Conservation Physiology.
2014; 2(1). https://doi.org/10.1093/conphys/cou023 PMID: 27293644
59. Reeder DM, Kramer KM. STRESS IN FREE-RANGING MAMMALS: INTEGRATING PHYSIOLOGY,
ECOLOGY, AND NATURAL HISTORY. Journal of Mammalogy. 2005; 86(2):225–35.
60. Keckeis K, Lepschy M, Scho¨ pper H, Moser L, Troxler J, Palme R. Hair cortisol: a parameter of chronic
stress? Insights from a radiometabolism study in guinea pigs. J Comp Physiol B. 2012; 182(7):985–96.
https://doi.org/10.1007/s00360-012-0674-7 PMID: 22592890
61. Goymann W. "Noninvasive Monitoring of Hormones in Bird Droppings: Physiological Validation, Sam-
pling, Extraction, Sex Differences, and the Influence of Diet on Hormone Metabolite Levels." Annals of
the New York Academy of Sciences (2005); 1046(1): 35–53.
PLOS ONE | https://doi.org/10.1371/journal.pone.0257370 October 1, 2021
15 / 17
PLOS ONEElevated glucocorticoids and telomere attrition
62. Khan M. Z., Altmann J., Isani S. S. and Yu J. "A matter of time: evaluating the storage of fecal samples
for steroid analysis." General and Comparative Endocrinology (2002); 128(1): 57–64. https://doi.org/
10.1016/s0016-6480(02)00063-1 PMID: 12270788
63. MILLSPAUGH J.J. & WASHBURN B.E. Use of fecal glucocorticoid metabolite measures in conserva-
tion biology research: considerations for application and interpretation. General Comparative Endocri-
nology (2004); 138: 189–199. https://doi.org/10.1016/j.ygcen.2004.07.002 PMID: 15364201
64.
Freeman N. E. and Newman A. E. M. "Quantifying corticosterone in feathers: validations for an emerg-
ing technique." Conservation Physiology (2018); 6: 9.
65. Hammond TT, Au ZA, Hartman AC, Richards-Zawacki CL. Assay validation and interspecific compari-
son of salivary glucocorticoids in three amphibian species. Conservation Physiology. (2018); 6(1).
https://doi.org/10.1093/conphys/coy055 PMID: 30279992
66. Garde AH, Persson R, Hansen Å. M, O¨ sterberg K, Ørbæk P, Eek F, et al. Effects of lifestyle factors on
concentrations of salivary cortisol in healthy individuals. Scandinavian Journal of Clinical Lab Investiga-
tions (2009); 69(2): 242–250. https://doi.org/10.1080/00365510802483708 PMID: 18985537
67. Shalev I, Entringer S, Wadhwa PD, Wolkowitz OM, Puterman E, Lin J, et al. Stress and telomere biol-
ogy: A lifespan perspective. Psychoneuroendocrinology. 2013; 38(9):1835–42. https://doi.org/10.1016/
j.psyneuen.2013.03.010 PMID: 23639252
68. Mender I, Shay J. Telomere Restriction Fragment (TRF) Analysis. BIO-PROTOCOL. 2015; 5(22):
e1658. https://doi.org/10.21769/bioprotoc.1658 PMID: 27500189
69. Gomes NMV, Shay JW, Wright WE. Telomere biology in Metazoa. FEBS Letters. 2010; 584(17):3741–
51. https://doi.org/10.1016/j.febslet.2010.07.031 PMID: 20655915
70. Ka¨ rkka¨inen T, Briga M, Laaksonen T, Stier A. Within-individual repeatability in telomere length: a meta-
analysis in non-mammalian vertebrates. Preprints; 2021. https://doi.org/10.1111/mec.16155 PMID:
34455645
71. Rovatsos M, Kratochvı´l L, Altmanova´ M, Johnson Pokorna´ M. Interstitial Telomeric Motifs in Squamate
Reptiles: When the Exceptions Outnumber the Rule. Stanyon R, editor. PLoS ONE. 2015; 10(8):
e0134985. https://doi.org/10.1371/journal.pone.0134985 PMID: 26252002
72. Haussmann MF, Mauck RA. TECHNICAL ADVANCES: New strategies for telomere-based age estima-
tion: TECHNICAL ADVANCES. Molecular Ecology Resources. 2008; 8(2):264–74. https://doi.org/10.
1111/j.1471-8286.2007.01973.x PMID: 21585768
73. Reichert S, Criscuolo F, Verinaud E, Zahn S, Massemin S. Telomere Length Correlations among
Somatic Tissues in Adult Zebra Finches. Moreno E, editor. PLoS ONE. 2013; 8(12):e81496. https://doi.
org/10.1371/journal.pone.0081496 PMID: 24349076
74. Sudyka J, Arct A, Drobniak S, Dubiec A, Gustafsson L, Cichoń M. Experimentally increased reproduc-
tive effort alters telomere length in the blue tit (Cyanistes caeruleus). Journal of Evolutionary Biology.
2014; 27(10):2258–64. https://doi.org/10.1111/jeb.12479 PMID: 25228433
75. Parolini M, Romano A, Khoriauli L, Nergadze SG, Caprioli M, Rubolini D, et al. Early-Life Telomere
Dynamics Differ between the Sexes and Predict Growth in the Barn Swallow (Hirundo rustica). Lustig
AJ, editor. PLoS ONE. 2015; 10(11):e0142530. https://doi.org/10.1371/journal.pone.0142530 PMID:
26565632
76.
Taylor HA, Delany ME. Ontogeny of telomerase in chicken: Impact of downregulation on pre- and post-
natal telomere length in vivo. Development, Growth, and Differentiation. 2000; 42(6):613–21. https://
doi.org/10.1046/j.1440-169x.2000.00540.x PMID: 11142683
77. Gomes NMV, Ryder OA, Houck ML, Charter SJ, Walker W, Forsyth NR, et al. Comparative biology of
mammalian telomeres: hypotheses on ancestral states and the roles of telomeres in longevity determi-
nation: The comparative biology of mammalian telomeres. Aging Cell. 2011; 10(5):761–8. https://doi.
org/10.1111/j.1474-9726.2011.00718.x PMID: 21518243
78. Haussmann MF, Winkler DW, Huntington CE, Nisbet ICT, Vleck CM. Telomerase activity is maintained
throughout the lifespan of long-lived birds. Experimental Gerontology. 2007; 42(7):610–8. https://doi.
org/10.1016/j.exger.2007.03.004 PMID: 17470387
79. Angelier F, Vleck CM, Holberton RL, Marra PP. Telomere length, non-breeding habitat and return rate
in male American redstarts. Funct Ecol.2013; 27(2):342–50.
80. Asghar M, Hasselquist D, Hansson B, Zehtindjiev P, Westerdahl H, Bensch S. Hidden costs of infection:
Chronic malaria accelerates telomere degradation and senescence in wild birds. Science. 2015; 347
(6220):436–8. https://doi.org/10.1126/science.1261121 PMID: 25613889
81. Barrett ELB, Burke TA, Hammers M, Komdeur J, Richardson DS. Telomere length and dynamics pre-
dict mortality in a wild longitudinal study. Molecular Ecology. 2013; 22(1):249–59. https://doi.org/10.
1111/mec.12110 PMID: 23167566
PLOS ONE | https://doi.org/10.1371/journal.pone.0257370 October 1, 2021
16 / 17
PLOS ONEElevated glucocorticoids and telomere attrition
82. Breuner CW, Delehanty B, Boonstra R. Evaluating stress in natural populations of vertebrates: total
CORT is not good enough. Functional Ecology. 2013; 27(1):24–36.
83. Gabor CR, Knutie SA, Roznik EA, Rohr JR. Are the adverse effects of stressors on amphibians medi-
ated by their effects on stress hormones? Oecologia. 2018; 186(2):393–404. https://doi.org/10.1007/
s00442-017-4020-3 PMID: 29222721
PLOS ONE | https://doi.org/10.1371/journal.pone.0257370 October 1, 2021
17 / 17
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royalsocietypublishing.org/journal/rsos
Review
Cite this article: Dienes Z. 2023 The credibility
crisis and democratic governance: how to reform
university governance to be compatible with the
nature of science. R. Soc. Open Sci. 10: 220808.
https://doi.org/10.1098/rsos.220808
Received: 17 June 2022
Accepted: 6 January 2023
Subject Category:
Science, society and policy
Subject Areas:
psychology
Keywords:
university governance, democracy,
open democracy, open science
Author for correspondence:
Zoltan Dienes
e-mail: z.dienes@sussex.ac.uk
The credibility crisis and
democratic governance: how
to reform university
governance to be compatible
with the nature of science
Zoltan Dienes
School of Psychology, University of Sussex, Brighton, UK
ZD, 0000-0001-7454-3161
To address the credibility crisis facing many disciplines, change is
needed at the institutional
level. Science will only function
optimally if the culture by which it is governed becomes
aligned with the way of thinking required in science itself. The
paper suggests a series of graduated reforms to university
governance, to radically reform the operation of universities.
The reforms are based on existing established open democratic
practices. The aim is for universities to become consistent with
the flourishing of science and research more generally.
1. Introduction
Many areas of science have been facing difficulties in credibility
with a sense that the scientific process is not as healthy as it could
be. There is low replicability of studies ([1], chapter 2), possibly
associated with a failure of a field to self-correct [2]; and at the same
time, there is a hyper-competitive culture aligned with perverse
incentives that may reward substandard science [3]. The solutions
to this credibility crisis will surely involve multiple levels of reform
[4]. Specifically, cultural change is needed at the institutional level,
which is the level that this paper addresses. Initially, a simple
account of how knowledge grows is presented. Then a brief
historical overview is provided of the growth of knowledge and its
relation to how decisions are made in the broader social context.
Classical Athens is taken as an example of matching between the
governance of the society as a whole and the growth of knowledge.
Next, the state of governance of UK universities is considered.
Finally, open democratic practices that are Athenian-like and that
have been tested in politics are considered for how a university
might be governed in an open democratic way in order for the
university to align itself with the way knowledge grows.
© 2023 The Authors. Published by the Royal Society under the terms of the Creative
Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits
unrestricted use, provided the original author and source are credited.
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2. How does knowledge grow?
Popper [5] asked ‘How does knowledge grow?’ His answer in general, is by trial and error; try ideas out
and see what works; reject those that do not work. How could that process be enhanced? According to
Popper, traditionally schools of thought were passed down from master to disciple with an aim to impart
a doctrine pure and unchanged. There is in such a tradition a hierarchy with roles filled by people by
virtue of their characteristics: master and disciple. This is a good way of conserving knowledge as it
is, but not for promoting the growth of knowledge. But consider an alternative, which Popper calls
the critical tradition: the master says ‘Here is my idea to solve a problem; can you improve on it?’
It can be difficult to encourage others to do better than oneself. Thus, the critical tradition as a
second-order tradition that is passed on from mentor to pupil has to be constantly fought for:
businesses, religious leaders, politicians and even academics will regularly try to stamp out criticism
of their ideas. The critical tradition occurs when there is a culture of considering arguments for their
own sake, with small regard for the authority of the person stating them. That is, in a critical tradition
roles are fluid, and what is important is the quality of ideas. Taking part in a critical tradition may be
psychologically easier when people see ideas, theories and data as having an objective existence apart
from themselves, with properties that must be discovered; this is what it means to consider arguments
for their own sake. Then people can refute a theory without thinking they themselves have been
harmed [6]; cf. also [7]. Let an open society be a society in which such a critical tradition is
encouraged (cf. [8]). Let democracy be an open society in which there are institutions that encourage a
critical tradition independent of any individual. Thus an autocratic ruler may promote an open
society if that was the sort of thing that ruler liked; but the society would not as such be a democracy,
because the existence of the open society would depend on the whims of a particular ruler.
3. Lessons from history
There is intriguing evidence of a historical relationship between the growth of knowledge and the
existence of an open society, especially democracy. Popper [5] suggests how Thales, around 600 BCE,
proposed a natural principle for how the world works, only for his apparent student, Anaximander to
come up with something logically better, starting a critical tradition. For the next several hundred
years in Athens, there was an astonishing flourishing of knowledge,
in mathematics, astronomy,
history, psychology and medicine. Knowledge and open critical discussion continued into the
extended Greek and Roman world for some time AD, but the critical tradition gradually withered.
For example, the Epidemics of the Hippocratic corpus (fifth century BCE) mainly indicated how their
treatments failed ([9], chapter 5) in contrast to case histories from later centuries (consider the
numerous triumphs Galen, fl. second century AD, described in outwitting other doctors ([10], e.g.
chapter 7); after Galen, there were no students of his who tried to produce better solutions, at least
not
the
for many centuries). Almost exactly contemporaneously with the rise and decline of
flourishing of knowledge, there was a rise and decline in Athenian-style democracy. In Athens itself,
the initial reforms of Solon (600 BCE) were strengthened by Cleisthenes (coming up to 500 BCE), then
after further gradual refinements, Athenian democracy was formally ended in 332 BC by the conquest
of Alexander the Great. However, as seen as part of an ecology of about 1000 Greek states, democracy
robustly continued well
into the second century BCE, with the number of democracies actually
increasing for some time [11]. Over several hundred years from before until after the classic period,
these Greek states showed shifting mixtures of democracies and elite control. Based on archaeological
and historical evidence, Ober argued that cultural flourishing (and wealth) followed not the rise of
conservative institutions but tracked the development of democratic rule-egalitarian institutions.
There was both an explosion of knowledge and the implementation of a robust long-lasting
democracy during the time of classic Athens,
followed after a delay by a slow stagnation in
knowledge growth. At other times and places, when there was an open society, knowledge also
flourished—even without democracy. Saliently, from 800–1400 Arabic science drew from Greeks and
Indians, and made major progress [12]. There was not democracy, but absolute rule by Abbasid
caliphs. Any given caliph might support an open society (e.g. initially especially Al-Ma’mun), in the
sense of encouraging critical discussion of ideas (e.g. Al-Khalili [12], pp. 67–68). When a caliph, or
others in positions of authority, supported the free exploration of ideas, knowledge grew; when a
subsequent caliph was more conservative, learning shrank (e.g. [12], p. 230, cf. also p. 194). The
relation of general openness during this time and scientific progress bears further investigation.
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The critical tradition sustained in the Arab world eventually found its way to the medieval Italian
states. From about 1100, these states were already exploring democratic governance, using mixtures of
lot and election (e.g. [13,14]). The assembly politics often characterizing decision making in those
states entailed considering arguments for their own sake even if the person voicing them may be of
low rank. Thus, the ground was laid for exploring new ideas; and later there is indeed the outpouring
of new forms in art, invention and later science. Ferris [15] picks up the story of the intertwining of
democratic values and the growth in science in the 1600s onwards, noting how science developed in
the most liberal countries, and how conversely scientists were key people pushing for democratic
change. A further explosive growth in knowledge occurred alongside the progressive rejection of
authoritarian political values and the development of liberal values, from the enlightenment onwards.
Yet the growth of knowledge has also occurred when society as a whole was not especially open, and
conversely, science often did not occur where there were even democratic institutions. An example of the
first point is the steady growth of knowledge throughout Chinese history. Up until about 1400, China
was hundreds, and sometimes thousands of years, ahead of Europe in technological development.
Needham [16] spent decades documenting how many innovations came from China, for example,
China pioneered inoculations ( possibly tenth century and certainly by 16th); China developed
mechanical clocks six centuries before Europe. True, China throughout its history has valued scholars
very highly and had a well-organized civil service based on exams rather than (explicitly) on
pedigree. But
this time the emperor in principle had the final say on any matter
(including an edict that held from 653 forbidding the private possession of astronomical instruments
([17], p. 228)), and there is little evidence of democratic processes (except briefly for a period in the
Zhou dynasty, 1050–221 BCE ([14], p. 150)). There was the constant development of technology—but
not the explosive development of science. Needham asked why did modern science not develop in
China and only in Europe? Why did knowledge of the physical world grow steadily in China, and
yet not explode like it did in Europe? Needham suggested that ‘There was no modern science in
China because there was no democracy’ [16, p. 152]. Needham pointed out that science is indifferent
to who makes the argument; thus ‘these civilizations which have developed an … exaggerated respect
for teachers, will have to modify it’ [16, p. 140]. In sum, ‘there is a real kinship between the scientific
‘ namely, skepticism, anti-authoritarianism, not letting others
mind and the democratic mentality,
decide on aims or assessment of evidence, ‘a give and take, a live and let live attitude’ [16, p. 143].
(For a review of other hypotheses by Needham and others to address this question, see [17].)
throughout
Conversely, Stasavage [14] and Graeber & Wengrow [18] present historical, archaeological and
anthropological evidence for democracy, in the sense of decision by assemblies, being a common
solution to the problem of political governance, and often in large-scale societies. If that is true, why
did science not emerge multiple times? Debates in assemblies,
to the extent criticism of any
individual’s views are welcome and not just tolerated, promote a critical tradition. And a critical
tradition allows knowledge to grow, but it need not be specifically scientific knowledge. Graeber &
Wengrow argue for the political sophistication of the indigenous Americans, whose skills were honed
in assembly politics, and who could hold their own if not best European intellectuals of the 1600s in
political and social arguments.
Indeed, according to Graeber and Wengrow, native American
arguments may have, unacknowledged, transformed the course of European intellectual history.
Consider also the democratic politics in India at the time of the start of Buddhism (Mahaparinibbana
sutta in [19]), which occurred contemporaneous with the development of ideas about the mind which
continue to influence modern thinking (e.g. [20]). Clearly there is no deterministic relation between
science and democracy; but there is synergy. The lesson to draw from history is that when science
and democracy occur together, science is facilitated. Science might happen without democracy, and
democracy without science—but put them together and see what happens.
4. Athenian-style democracy
Athenian democracy emphasized the selection of arguments that could in principle be provided by
anyone, rather than primarily the selection of people according to their traits as such [21]. Let us
consider some details, because they will be useful for considering modern reform (for a readable
overview with the specific aim of implementing the principles in modern corporate institutional
governance, see [22]; see also [23,24]. Athenians were divided into 10 tribes pooling different types of
citizens (urban, rural, coastal) into in-groups to unite pre-existing cultural divisions (consider the use
of houses or colleges in some universities). Day-to-day business was organized by the Council of 500
classical Athens
council of 500 (Boule)
agenda
sets agenda and implements
decisions
general administration and
supervision of the system
decisions
law courts
LOT
Tribe 1
Tribe 2
popular assembly (Ecclesia) –
all citizens (30k)
discuss and approve motions
nomothetai – checks
new laws for consistency
with old
LOT
Tribe 10
. . .
(the citizens)
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Figure 1. Sketch of classic Athenian democracy. In Athens circa fourth century BC, eligible citizens were assigned by lot,
i.e.
randomly, to the main governing bodies and the law courts. Of about 1000 posts, 90% were determined by lot and the rest
by election. The majority of citizens would have spent at least a year at some point in their life in the main governing body,
the boule. Some form of such governance lasted for hundreds of years in Athens and other Greek states.
(the boule), consisting of 50 eligible citizens selected by random lot from each tribe for a period of a year.
Each month the 50 from one tribe would set the agenda for the business of the day, and prescribe the
meetings of the Assembly (which we will come to). Other duties include overseeing the work of all
officials and financial oversight. Each day officials from the other tribes in the Council make decisions
concerning the agenda. The leader of the Council was selected daily from the tribe in charge of
agenda-setting that month: one person was the nominal head of state for one day alone! In sum,
central decision-making was deliberately integrated over many people, chosen by lot
from the
citizenship. Roughly weekly, the citizens, or the subset who turned up (maybe a fifth of all citizens on
any one occasion), formed the Assembly (ecclesia). The agenda was set by Council, and in principle
any citizen could speak on any motion, before a vote to decide each proposal. One further institution
is worth mentioning: the nomothetai. This was a panel formed by lot from eligible citizens to
reflectively consider arguments for and against proposed general laws before a final decision was
actually made to accept them. We will draw on this important institution later. Figure 1 for a sketch
of the overall structure of Athenian democracy.
5. The state of UK universities
Coming into this millennium, many UK universities were democracies at the school (i.e. faculty) level.
School meetings were decision-making bodies, with decisions made usually by majority vote.
Decisions fed up to the central university level. Senior management at the central level then had to do
their best to render coherent at the institutional level the way these parts fitted together. Subsequently,
in about the first decade of the millennium, many UK universities moved to more or less complete
non-democratic top-down control, where senior management made decisions, and the Deans of
schools were to work out how to implement those decisions to management’s satisfaction. The Dean
rather than faculty had final say at school level. The Vice-Chancellor (VC) was appointed by Council
with no involvement by faculty at large (with the members of Council being appointed by Council).
These reforms occurred in the tradition of ‘New Public Management’, a philosophy of public sector
management which started to be implemented in the Thatcher years, and has become dominant in
the UK in its higher education policy [25–27]; see [28], for a history of UK education sympathetic to
this approach).
In many universities in the UK, top-down control is exerted by management, who are perceived to be
a class separate from academics with no real accountability [29]. These managers may apply strong
pressure on academics to achieve key performance indicators. The result is managerialism: the worth
of an academic (for getting jobs, promotion, respect) is determined by set performance goals, typically
including getting grants and publishing in high-impact-factor journals. The first duty of a researcher is
not high-quality research by their own judgement, but to fulfil the agenda of an increasingly large
class of managers (whose agenda is to boost e.g. world rankings and other metrics). It is not obvious
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in project management
the failure of complete top-down control
that top-down control by senior managers is the best way of dealing with a rapidly changing and
unpredictable environment that is necessarily what the interface of knowledge and ignorance consists
in. For
in unpredictable
environments for aid agencies, see Honig [30]; and its failure in the secondary education sector, Honig
[31]. Honig [31] presents evidence that top-down management with close monitoring and control
backfires when those managed are already there because they want to be: such management produces
both selection effects, the loss of good people, and motivational changes in those that remain (for the
latter see also [32], chapter 5). Martin, reviewing the history of UK university governance with an eye
on the management literature, asks, ‘Why, when the management literature of the last two decades
has stressed the benefits of flatter organizational structures, of decentralization and local initiative …
have many universities been intent on moving in precisely the opposite direction of greater
centralization with a more hierarchical, organizational structure, top-down management … and ever
more cumbersome and intrusive procedures?’ [27 p. 7].1 And of specific relevance to science, Xu et al.
[38] found that scientific teams with a flat rather than hierarchical structure produced more novel
ideas and a higher long-term citation impact.
farms [40]. When an expert needs to exercise judgement
Attempting to incentivize ‘performance’ when what really counts as performance cannot be easily
measured—as is the case in attempting to understand the unknown—will generally backfire [30,39].
Simple-minded performance targets famously backfire even for simple problems. Consider the rat tails
of Hanoi. At the beginning of the twentieth century the French colonial rulers of Hanoi wanted the
city rid of rats. To bring on board the local population, money was offered for each rat tail delivered
as proof of a killed rat. Yet the rats only increased. It turned out the locals, being resourceful, set up
in an unpredictable environment,
rat
sustained incentives to maximize something just because it is measurable, typically distort best
practice. The best person to judge strategy and tactics for dealing with a research problem is the
researcher themselves. Incentivizing them to, for example, apply for grants, will distort how time is
best spent. If a researcher needs a grant to further their research, they have no need of a manager to
tell them to get a grant. Conversely, if their time would be better spent writing up that file drawer of
papers, incentivizing them to apply for grants only promotes inefficiency. But the problem may be far
worse than this. Key performance indicators filtering down from senior management as pressure on
individual researchers may not just waste time—it may damage the integrity of science. It may
produce, in effect, rat farms.
In simulation studies, Smaldino & McElreath [41] consider a population of different laboratories who
differ in the degree of p-hacking they engage in while competing for grants. Given reasonable
assumptions, those laboratories that p-hack the most are most successful in obtaining grant money—
and thereby produce more progeny laboratories (via the PhD students and post docs they train)
which carry on the same culture as the parent laboratory. The current environment of intense
competition for grant money plausibly promotes low-integrity science (while of course being
consistent with some successful laboratories that do value rigour, as shown, for example, by their
commitment to open science). Smaldino et al. [42] consider solutions. In their simulations, the way to
break the effect of the selection of p-hackers, was to borrow an idea from classical Athens, selection by
lot: award grants by random lottery for those submissions that passed a minimal standard of
methodological rigour. (Such a procedure not only can restore integrity,
it also ensures a lack
of discrimination based on gender, race, or institution in grant allocation.2) While the concept of
p-hacking is not relevant to all disciplines, the argument plausibly generalizes for any similar process
where cutting corners to the detriment of the quality of the research nonetheless allows outcomes that
look convincing.
Satisfying key performance indicators typically involves publishing in journals with high impact
factors. Often high-impact-factor journals are run by for-profit companies charging high publishing
fees. A principle of how science should function is that anyone should be able to contribute according
to only the quality of their contribution. High publishing fees mean that only those able to join a rich
1Leaf [33] describes widely varying levels of democratic governance across different US Universities, yet indicates the direction of
change is toward less democracy. For the rise of managerialism in US Universities, see Ginsberg [34]. For the variability in extent
of democratic governance across Europe, but the same direction of change as the UK, see de Boer & File [35]. And for the
headlong embrace of managerialism by Australian Universities, see Biggs [36] and Hil [37].
2For the greater efficiencies that would be achieved by grant lotteries, see Gross & Bergstrom [43]. For a different solution, see Brette
[44].
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person’s club, at an intuitional or individual
functioning of science [45]. And it may be worse than that.
level, can contribute. This undermines the proper
Does pressure to publish in high-impact journals produce p-hacked and less reproducible research?
Direct evidence for pressure to publish producing poor quality publications as a general relationship
is not yet in (consider the attempt by [46]). But there are some specific connections. Cash bonuses for
publishing in high-impact-factor journals, as has been practised in Australia and China, is associated
with retractions of papers [46]. Further, Fang & Casadevall [47] found a proportional relation between
retractions and journal impact factor; most of these retractions were due to fraud [48]. While the
retraction–impact factor relation may in part be because articles in high- rather than low-impact-factor
journals are subject
in his
investigation of research quality across a range of scientific disciplines. He found a negative relation
between journal impact factor and various measures of methodological rigour3 (also recently found by
[51], in management science; and [52] found weakly negative relations in behavioural science and
neuroscience). So if the papers are less good methodologically on average, why do they get published
in higher impact-factor journals? Presumably because the authors were good at selling their results. In
sum, managerialism at university level, situated in a dysfunctional ecosystem, selects for p-hacking/
corner-cutting salespeople.
this explanation is ruled out by Brembs [49]
to greater scrutiny,
How is the rise of managerialism experienced by university staff? Shattock & Horvath [53] conducted
extensive onsite interviews with staff at all levels of each university, at UK universities that spanned a
‘The
wide range of rankings, to explore staff experiences. They found widespread dissatisfaction.
sense that conditions for the pursuit of high quality academic work have worsened and are
continuing to worsen is widespread, even in institutions that are most obviously successful. Criticisms
that universities have become too top-down in their governance, and are insufficiently bottom-up, that
good academic work is stifled by over-regulation and bureaucracy, and that too much academic
business is handled by non-academic professionals, are commonplace’ [53, p. 104]. Similarly, Erickson
et al. [29] in a survey of 5888 academic staff in the UK higher education sector, found only 10% of
university staff were satisfied with senior management.
The question is, in terms of university governance, could we be doing better? In the next section we
consider democratic solutions.
6. Open democracy
Hierarchical university governance may contribute to damage to scientific integrity. So what mode of
governance might actually promote the growth of knowledge? That is, what way of governing
universities would be consistent with a culture of the critical tradition, the tradition of carefully
considering and selecting arguments rather than people? Arguments concerning the running of an
institution can only be considered as such, by anyone with a stake in them, if there is transparency of
information. Relevant information must be readily accessible ( just as is required for science to
function). What organizational structure produces transparency in a way that is useful?
Consider the following assumptions:
(1) Each academic has information about how the university is working.
(2) Different people have different relevant information.
(3) Information will be expressed when a person has to use it to make decisions.
(4) Those decisions will make best use of the information if people making decisions have to live by
them.
(5) To select the best ideas (that integrate information well), ideas should be selected for, not people.
Ways of governing that satisfy these assumptions include those of Athenian-like democracy that we
considered earlier. Athenian-like democracy has inspired a number of open democratic practices that
have been explored in the political context in the last few decades [54]. We will review some of these
practices now.
3Again, this finding is consistent with some papers in high-impact-factor journal being rigorous. For example, plausibly if the papers
are Registered Reports, then they may have good methodology (e.g. [50]). But then consider the quality of Registered Reports in PCI
RR, which is free to authors and readers, and whose rigour the reader can assess for themselves because the whole process is open:
https://rr.peercommunityin.org/.
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Before describing concrete ideas, consider an objection. Given the complex environment in which
universities now operate, don’t we need decisions made not democratically by the uninformed but
rather by experts (cf. [55]), with a top-down governance structure that thus allows nimble and agile
decisions? As against this, if the above five assumptions are accepted, some form of democracy may
foster decision-making where the most information is maximally integrated in the time available4:
structures embedding such practices should produce networks between people closer to small-world
networks than a strict top-down hierarchy could; and such networks allow more global integrated
information [57]. Open democracy can ensure decisions are made by the well informed, as we discuss.
And it is rare to hear modern universities described as nimble and agile [29,53]. Open democracy also
presents a smorgasbord of ways of being democratic with different time scales of operation. Indeed,
in Athens, important decisions were sometimes made or reversed very quickly, even in the space of a
day ([22], e.g. pp. 133–134). Sometimes decisions should be fast, sometimes slow and reflective. With
this in mind, let us see what is on offer.
6.1. The deliberative poll
immigration or,
The deliberative poll was developed by Fishkin [58,59], and will be used to illustrate the more general
class of mini-publics, procedures by which people are selected from the population of citizens to
deliberate an issue—such as citizen’s assemblies, citizen’s juries or citizens’ initiative reviews (which
we will consider below) (see [60], for a review). Consider a difficult issue that concerns a community,
and for which a reflective and informed decision is needed that
takes into account diverse
viewpoints—such as Brexit,
in a university setting, the principles for allocating
resources to schools in a context of shifting student demand. Randomly select 200–300 people from
the total population (one may decide to over-represent certain groups of people particularly affected
by the issue). Given the selection is approximately random, everyone has a chance to contribute and
no one is selected simply because they have a vested interest. The total sample is allocated into
groups of 15 to discuss the chosen issue. The discussants are given information packs, each pack
prepared by experts or protagonists of different views. The discussions are moderated to encourage
everyone to contribute more or less equally, and for debate to focus on arguments per se. There is an
opportunity for discussants to ask a panel of experts any questions that remain unresolved. After
several meetings, discussants anonymously vote: as Fishkin puts it, the vote is then what the people
would think if they had reflected. The deliberative poll has been used in many countries over the last
few decades, for example in the UK, Europe, Australia, China, the USA, Canada and Mongolia (for
critical discussion see [61], chapter 3; [60], chapter 3).
To take an example, in Ze Guo Township in China, the issue was how to spend the council’s money
[58]. Thirty projects were listed by the council. Two hundred and seventy-five citizens were randomly
selected; of these 235 completed the poll, so the final sample was close to random. Fishkin provides
evidence that participants became more informed as a result of the discussions, that there was little to
no domination by privilege, that there was little to no group polarization, and that priorities shifted
toward projects that would benefit the whole town. Of course, the devil would be in the details to get
such good procedural outcomes (e.g. well-trained moderators). People chose a sewage treatment plant,
park and a main road; not, for example, a fancy town square. These choices surprised officials but
they acted on the results of the poll.
A minipublic can be used to either set the agenda of a committee, or to make decisions on issues
defined by a committee, and both roles may be useful in a university. To adapt the minipublic to a
university, one might adjust the number of people selected, or the length and number of meetings,
according to the issue considered. Note the similarity of the minipublic in finalizing decisions to the
nomethetai in the Athenian model.
6.2. Participatory budgeting
Engaging the community as a whole in planning budgets was pioneered in Porto Alegre in Brazil in 1989
onwards in a procedure called participatory budgeting (see [60], for an introduction). In this case,
neighbourhood assemblies voted locals to represent the neighbourhood for a year in a local committee
4Information integration in different organizational structures could be tested by injecting information into an organization at different
places and then at a later time measure whether that information has been used to make decisions at different points in the
organizational structure; compare measuring information integration in the human brain [56].
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to plan projects and their priorities. People were also elected to one of several thematic committees
(education, transport, etc.) to plan projects and their priorities for each theme. Locals from each
neighbourhood and thematic assembly were also voted to an overall coordinating central committee.
The central committee decided projects and allocated a substantial proportion of the council’s budget.
The committees also involved people with relevant technical and financial expertise. A person could
be elected for no more than two terms. The choice of local people, the shortness of the term and the
limited number of terms per person is what roughly corresponds to random sampling in deliberative
polls in the sense of being the mechanism that limits entrenchment of certain people in decision
making. Participatory budgeting was regarded as so successful it has been taken up in different forms
in more than 2700 governments (though in 2017, participatory budgeting was suspended in Porto
Alegre itself [62].
For a university following the Porto Alegre model, schools could, as local neighbourhoods, select
faculty on a rotating basis to a school budgeting committee for a year to decide school projects. Staff
from relevant groups could be selected on a rotating basis to committees devoted to certain themes at
institutional level, such as IT, catering, grounds, etc. Similarly, each school could select on a rotating
basis two representatives for a central budgeting committee to determine institution-wide spending
and to finalize decisions of the other committees. In the participatory budget model, selection is by
local election; but people could be selected (semi) randomly.
6.3. The citizens’ initiative review
The citizens’ initiative review [63] is a one-group minipublic where the group jointly summarizes the best
arguments pro and contra a proposal, and also summarizes how they voted. The aim is to provide an
information leaflet for a referendum on the proposal that reflects the range of views ordinary people
would have if they reflected on the issues and made themselves informed. Crucially, therefore the
information leaflet is not provided by vested interests. The citizens review initiative has been used
extensively in the state of Oregon, USA, where studies indicate that voters appreciated the
information and were better informed as a result of it.
6.4. Allocation of citizens to roles
Democracy is often associated with voting, as that is how our current representative democracies work.
But when academics vote for people in the university to be on senate, council or some other position,
often the vote is based on limited information, such as what school they work in, or what other
committees they have been on. The facts given may be of marginal relevance to how that person
would contribute to that role. And if the information is enough to be seen as relevant, voting is a
mechanism for selecting people who stand out from other people, in other words, for selecting elites
[13]. Having the resources or motivation to promote oneself in an election is not the same thing as
having the qualities that would make one good at the job the election is for. The medieval Italian city
states realized this. But they also thought selection strictly by lot may not select the best people for
the job, even if it ensures the top jobs are not all held by people of a certain class. So these city states
devised various combinations of election and lot to try to obtain the benefits of both procedures (see
[64], chapter 7, for a systematic analysis of the possibilities). For example, one could select by lot a
group of candidates, who are then chosen by election. An institution could decide what combination
of processes will assign people to posts. One counter-defence of selection by lot alone, i.e. without
election, is that the repeated use of such a procedure educates the citizenship; further if each person is
merely a constraint in a global process of selecting ideas (as in science) the notion of selecting the
right person may lose some of its relevance. Note that once people have been selected for the
executive committee by an open democratic process, such a committee can in principle act in real time
as fast as any committee now, depending on details.
7. Reforming the university
Figure 2 shows a schematic summary of the flow of control from the top down in a hypothetical modern
university. The simplest way of seeing how radical reform could be made is keeping the same structure
but assigning people to roles by an open democratic process (figure 3a). Just as in Athens, assignment by
a schematic possible structure of a UK university now
top-down control
senior
management
council
senate
Dean 1
Dean 2
Dean 3
committees
e.g. teaching and learning
School 1
School 2
School 3
Figure 2. Schematic diagram of top-down governance as might exist in a current UK university. Control runs from top to bottom.
Senate allows some pushback on academic matters but senate may only in practice have the power for suggesting that senior
management or council reconsider.
(a)
new democratic governance model?
(b)
new democratic governance model?
council
executive
committee;
constantly
selected from
each of the
schools
minipublics:
agenda
decisions
selection
(sortition?)
council
proposals
decisions
executive
committee;
constantly
selected from
each of the
schools
selection
(sortition?)
selection
(sortition?)
committees e.g.
teaching and learning
decisions
selection
(sortition ?)
committees e.g.
teaching and learning
decisions
School 1
School 2
School 3
School 1
School 2
School 3
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(c)
new democratic governance model?
(d)
new democratic governance model?
council
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constantly
selected from
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schools
minipublics:
agenda
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enough signatures
triggers proposal
selection
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committees e.g.
teaching and learning
decisions
council
proposals
decisions
executive
committee;
constantly
selected from
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schools
minipublics:
agenda
decisions
selection
(sortition?)
enough signatures
triggers proposal
proposals
decisions
assembly
of citizens
selection
(sortition?)
committees e.g.
teaching and learning
decisions
citizen initiative
review?
School 1
School 2
School 3
School 1
School 2
School 3
Figure 3. A series of democratic changes to the governance structure shown in figure 2. (a) The same command flow through
committees could be kept as in figure 2, but people assigned to committees by sortition (lot). (b) The executive committee
could use minipublics to set certain agendas or make decisions. (c) To this could be added a standing right for decisions to be
reviewed by the executive committee if a petition with enough signatures is submitted. (d) There could also be a general
assembly of citizens to which the executive committee could submit some decisions. So that the assembly can make an
informed choice, such referenda could be supported by citizen review initiatives.
lot does not mean there are no restrictions. Some jobs may be open only to senior lecturers or above for
example. Or some committees may require experience of other committees.
While this one change is structurally simple, it is of course a radical first move. It involves the
abolishment of senior management. Some people, notably senior management, might think this a
possibly catastrophic first move. This possible first move is presented to illustrate how one can keep
other things the same, yet radically change the democratic nature of governance to be similar to the
style of governance that once thrived in a complex nation for over a hundred years. In practice, open
democracy should be explored in small steps. One could first of all set up a minipublic, with
commitment from senior management to abide by its decisions, on an issue of importance that needs
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time to consider, for example, the university’s response to proposed pension reforms. The issue needs
reflection and requires becoming immersed in relevant information, and should not be decided solely
by people with one type of axe to grind. Figure 3b illustrates the addition of minipublics. Once their
use has been explored and finessed, more changes could be explored.
Figure 3c shows a further step that could be taken as an initial small step. To increase recurrent
information flow through the system, so that it functions as close as possible to a self-organizing dynamic
system that maximizes global constraint satisfaction, if enough signatures are obtained for a petition, the
executive committee could be obliged to reconsider a decision, then provide information for why they
kept it or changed the decision. Finally figure 3d shows the addition of an assembly of citizens. On some
occasions the executive committee may wish decisions be decided by referenda. In this case, citizens’
initiative reviews should be used to provide unbiased information about what is at stake. Whether an
institution makes any one of the changes suggested in this sequence should be a slow process of exploration.
8. Conclusion
This paper outlined some broad principles for making decision making in a university more closely
match decision making in science, arguing both that open democracy allows good decisions (else why
do we use it in science, one of our most successful endeavours?); and that good science will be
promoted when embedded in a broader culture that operates in the same way as itself. But much was
left unaddressed. Who counts as a citizen? That will need to be addressed by an institution (bearing
in mind we should be accountable to students, in a way we are not in the current system). What
about professional services? Just as politicians need a civil service that has expertise and will offer
alternative proposals, so academics need professional services to allow the university to run. The
organization of professional services has not been addressed, but presumably some of the same
principles could apply to their governance. What about Council, the ultimate governing body of a
university? Shattock and Horvath ([53], p. 100) are scathing about how Councils are currently formed
in terms of what is expected of them. An institution will need to decide how best to make Council
better informed and more accountable through open democratic practices.
The argument is not at all that the credibility crisis in science, and the current dissatisfaction with
university governance, is the fault of any particular individuals, most of whom are simply people
trying to make the best decisions. The problem is the structure in which senior management operate.
No amount of focus groups to determine key catch phrases to repeat as slogans will change that. The
current governance structure is almost designed to be divisive and demoralizing. Just like an Abbasid
caliph, a current senior manager or VC of a modern university may somehow benignly run a happy
and smooth operation that promotes the flourishing of knowledge despite the system. Until the next
VC comes along. Let’s make the system itself work.
One concern is whether open democracy will increase the admin load on people. If committees
maintained the same numbers as currently, the average committee load ceteris paribus remains the same.
There is an incentive difference, however, that may reduce average committee burden: while professional
bureaucrats have an incentive to maximize number of committee meetings (are there not more data on
key performance indicators and ‘academic drivers’ to be drilled down into?), people who are committee-
averse have an incentive to reduce them. On the other hand, deliberative polls formed to consider an
issue will increase admin time. The trade-off is that this increase in time is time spent being informed
about how things work, being a part of its workings, and making a difference to how things work. A
related concern is random lot means people may be selected who consider they are already being
overworked. One could be allowed to refuse such an assignment a certain number of times in a certain
period. But in the end the system will only function if people are committed to being citizens. The
current pay of senior management could be split among citizens, and people could opt out of being
citizens. People who opt out would not be taken seriously when they complained bitterly about
decisions that were made.
But is democracy weak under pressure, inherently irrational, maybe susceptible to mob rule? Tangian
([65], p. 294) argued that Athenian democracy would make unstable decisions for ‘situations close to
controversy [i.e. 50/50 for and against in the population] because a negligible disturbance results in a
significant change. At the controversial point, the decisive majority opinion, whether positive or
negative, depends on the positions of just a few individuals.’ Similarly, there are long-standing
theorems, such as Arrow’s theorem, that seem to show a group of people making decisions by voting
are necessarily irrational in one way or another. Deutsch ([66], chapter 13) points out that these
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arguments, that might be used against democracy, including Tangian’s just mentioned, presume there are
fixed options regarded by people with fixed preferences. But the point of critical discussion is to change
one’s preferences and allow new options to unfold. That is the real substance of decision making. Open
democracy allows preferences and lists of options to change in a rational way. And to the extent that
having people form small minipublics with moderated discussion promotes sensitivity to reason,
democracy need not amount to mob rule.
How could these reforms be implemented in practice? Popper [67] argued for piecemeal social
engineering, that is taking small steps at any one time, as the politician is aware that the perfect state, if
attainable, is far distant, and each change along the way will have unintended consequences, which are
best dealt with one by one. Could a university VC be persuaded there is at least one decision that is
important for people, yet one they could be willing to give up to a minipublic? It is sometimes in a
leader’s interest to have handed over difficult decisions to a public body, such the Citizens’ Assemblies to
consider abortion or marriage equality in Ireland [68]. Or if a VC genuinely considers a pension deal is
the best one for the university, and they trust fully informed rational discussion will lead to the same
conclusion, why not, by having a minipublic decide, save themselves from losing goodwill for the rest of
their term? Or why not start with a decision about which they have no axe to grind, but staff do care
about—might that not help staff morale? Might not a university who started along this path become a
beacon for other universities, be the one that stood out from the other sheep by not copying their nearest
neighbour sheep? Start with a single decision. Then finesse the procedure to make it better.
Gradually finessing the procedure will take effort; but as indicated there are reasons to think it is
worth the effort. In fact, open democracy may uniquely solve a key problem. Fukuyama [69] argued
that all political systems face the problem of elite entrenchment bringing about inevitable decay of the
system. Analogous arguments may apply to universities, not just nation states, when there is a limited
pool of managers who, schooled by the same system, approach problems in similar ways. Despite
what Fukuyama claimed, there is a way of hindering elite entrenchment: by constantly randomly
selecting citizens to act as decision makers, there is a constant input of new viewpoints. Injections of
randomness are necessary for creativity. Of course, people with many good ideas may still be
especially influential. The goal is to make sure that in taking on board ideas, what matters is the
quality of the ideas. Thus, good ideas should be selected, whatever their source.
The benefits of open democracy may also be motivated in the light of McGregor’s [70] influential distinction
between two theories that management might have about the psychology of people. According to Theory X,
‘the average human being has an inherent dislike of work … [and so] must be coerced, controlled, directed,
threatened with punishment to get them to put forth adequate effort … ’ (p. 43). By contrast, according to
Theory Y, ‘The expenditure of physical and mental effort in work is as natural as play or rest … [a person]
will exercise self-direction and self-control to the service of objectives to which [they are] committed … the
capacity to exercise a high degree of imagination, ingenuity and creativity in the solution of organizational
problems is widely, not narrowly, distributed … ’ (pp. 59–60). A relevant principle may be that when
management treats people in ways that express certain expectations of them (e.g. Theory X or Y),
management tends to get what it expects (for a business case study, see [71]). Likewise, requiring academics
to fulfil narrow key performance indicators, may tend to produce academics who do as they are directed
(and no more). Managers who subscribe to Theory X may regard this as proof of their position—even as
science and organizational creativity suffers. Yet trusting faculty to solve important organizational and
research problems, as open democracy requires, may yield superior outcomes, by promoting those qualities
presumed by trust (see [31], and [39] for a review of relevant evidence).
Current problems with the university environment that were identified earlier included the overuse
of key performance indicators and the use of a top-down governance structure. Yet democracy as such is
orthogonal to both specific decisions concerning working conditions (e.g. whether staff are incentivized
by particular metrics), and also by whether the flow of control runs from top down or bottom up in terms
of committee structure. A democratic university may (or may not) decide to incentivize, for example,
grant income in promotion criteria. If they do, this will be a decision whose details will be finessed by
those who daily confront what the real trade-offs are. And given general dissatisfaction with the way
senior management attempts to incentivize academics now, a democratic university may in at least
some institutions come to different decisions in detail. Importantly, the decision will be made by
faculty knowing they are trusted to make decisions, because open democracy embodies Theory Y
thinking. When metrics are decided locally and with light touch by the experts, and used with
judgement as a means and not an end, they can be useful and need not be demotivating [39].
Similarly, the flow of control can still be democratically top down as in figure 3, allowing greater
coherence across the university (democratic decisions can apply to the whole university), or bottom
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up, allowing different schools more independence. The two directions of flow can both be democratic
because the people at the bottom and the top are, over time, the same when there is assortment by
lot, or the use of deliberative polls. What the direction of the flow of control is for a given institution
can be worked out according to the needs of a particular institution (say, by a deliberative poll). And
in whichever direction control goes, once again a crucial difference remains compared with the status
quo: An open democratic system embodies Theory Y thinking.
Once a democratic organizational structure is in place, the decisions that result can be jointly owned.
It will be us who made the decisions. We can say: this is our house, we built it. Our state. We as citizens
may make a mess of it, as we invariably must, as any decision-making procedure will. But it will be our
mess, our problems to solve—together.
Data accessibility. This article has no additional data.
Authors’ contributions. Z.D.: conceptualization, writing—original draft.
Conflict of interest declaration. I declare I have no competing interests.
Funding. I received no funding for this study.
Acknowledgements. Thanks to Jason Chin and David Mellor for valuable comments. Thanks also to Josh Ober who gave
talks at Sussex in 2015 which helped inspire me, in conversation with Jorg Huber.
References
3.
2.
4.
5.
1.
6.
Ritchie S. 2020 Science fictions: exposing fraud,
bias. Negligence and hype in science. London,
UK: The Bodley Head.
Ioannidis JPA. 2012 Why science is not
necessarily self-correcting. Pers. Psychol. Sci. 7,
645–654. (doi:10.1177/1745691612464056)
Edwards MA, Roy S. 2017 Academic research in
the 21st century: maintaining scientific integrity
in a climate of perverse incentives and
hypercompetition. Environ. Eng. Sci. 34, 51–61.
(doi:10.1089/ees.2016.0223)
Stewart S, Pennington CR, Silva G, Ballou N,
Butler J, Dienes Z, Jay C, Rossit S, Samara A.
2022 Reforms to improve reproducibility and
quality must be coordinated across the research
ecosystem: the view from the UKRN Local
Network Leads. BMC Research Notes. See:
https://psyarxiv.com/xzfa2
Popper KR. 1963 Conjectures and refutations.
London, UK: Routledge.
Popper KR. 1979 Objective knowledge: an
evolutionary approach. Oxford, UK: Oxford
University Press.
Flourishing Science Think Tank. 2022 Beyond
kindness: a proposal for the flourishing of
science and scientists. (doi:10.31231/osf.io/
4zrmd)
Nottourno MA. 2000 Science and the open
society: the future of Karl Popper’s philosophy.
Budapest, Hungary: Central University Press.
Lloyd CER. 1970 Early Greek science: Thales to
Aristotle. London, UK: Ghatto & Windus.
10. Mattern SP. 2013 The prince of medicine: Galen
in the Roman empire. Oxford, UK: Oxford
University Press.
Ober J. 2015 The rise and fall of classical Greece
(The Princeton history of the ancient world).
Princeton, NJ: Princeton University Press.
Al-Khalili J. 2012 The house of wisdom: how
Arabic science saved ancient knowledge and gave
us the Renaissance. London, UK: Penguin.
13. Manin B. 1997 The principles of representative
government. Cambridge, UK: Cambridge
University Press.
12.
11.
8.
7.
9.
14.
15.
16.
17.
18.
Stasavage D. 2020 The decline and rise of
democracy: a global history from antiquity to
today. Princeton, NJ: Princeton University
Press.
Ferris T. 2011 The science of liberty: democracy,
reason, and the laws of nature. New York, NY:
Harper Collins.
Needham J. 1969 The grand titration: science
and society in east and west (China: history,
philosopy, economic). London, UK: George Allen
& Unwin.
Lu J. 2011 Reassessing the Needham question:
what forces impeded the development of
modern science in China after the 15th century?
Concord Rev. 21, 209–255.
Graeber D, Wengrow D. 2021 The Dawn of
everything: a new history of humanity. Dublin,
Ireland: Allen Lane.
20.
19. Walshe M. 1995 The long discourses of the
Buddha: a translation of the Digha Nikaya.
Boston, MA: Wisdom Publications.
Lovell M, Dienes Z. 2022 Minimal mindfulness
of the world as an active control for a full
mindfulness of mental states intervention: a
registered report and pilot study, in principle
acceptance of version 4 by Peer Community in
Registered Reports. https://osf.io/tx54k
Recommendation See: https://rr.
peercommunityin.org/articles/rec?id=45
Saxonhouse AH. 2006 Free speech and
democracy in ancient Athens. Cambridge, UK:
Cambridge University Press.
21.
23.
22. Manville B, Ober J. 2003 A company of citizens:
what the world’s first democracy teaches leaders
about creating great organizations. Harvard, MA:
Harvard Business Review Press.
Cartledge P. 2016 Democracy: a life. Oxford, UK:
Oxford University Press.
Rhodes PJ. (translator). 2002 The Athenian
constitution. London, UK: Penguin.
Collini S. 2017 Speaking of universities. London,
UK: Verso.
Ferlie E, Musselin C, Andresani G. 2008
The steering of higher education systems: a
24.
25.
26.
public management perspective. High.
Educ. 56, 325. (doi:10.1007/s10734-
008-9125-5)
27. Martin BR. 2017 What’s happening to our
universities? Prometheus 34, 7–24.
28. Willets D. 2017 A university education. Oxford,
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
UK: Oxford University Press.
Erickson M. 2021 The UK higher education
senior management survey: a statactivist
response to managerialist governance. Stud.
High. Educ. 46, 2134–2151. (doi:10.1080/
03075079.2020.1712693)
Honig D. 2020 Navigation by judgment: why and
when top down management of foreign aid
doesn’t work. Oxford, UK: Oxford University
Press.
Honig D. 2022 Managing for Motivation as
Public Performance Improvement Strategy in
Education & Far Beyond. See: https://bsc.cid.
harvard.edu/publications/managing-motivation-
public-performance-improvement-strategy-
education-far-beyond.
Brown R, Pehrson S. 2019 Group processes:
dynamics within and between groups, 3rd edn.
New Jersey, NJ: Wiley.
Leaf MJ. 2018 An anthropology of academic
governance and institutional democracy: the
community of scholars in America. Cham,
Switzerland: Palgrave Macmillan.
Ginsberg B. 2011 The fall of the faculty: the rise
of the all-administrative university and why It
matters. New York, NY: Oxford University Press.
De Boer H, File J. 2009 Higher Education
Governance Reforms across Europe. See: https://
ris.utwente.nl/ws/portalfiles/portal/5147233/
c9hdb101+modern+project+report.pdf.
Biggs JB. 2013 Changing universities: a memoir
about academe in different places and times.
Scarborough, Australia: Strictly Literary.
Hil R. 2012 Whackademia: an insider’s account
of the troubled university. Sydney, Australia:
UNSW Press.
Xu F, Wu L, Evans J. 2022 Flat teams drive
scientific innovation. Proc. Natl Acad. Sci. USA
119, e2200927119. (doi:10.1073/pnas.
2200927119)
42.
43.
41.
40.
44.
39. Muller JZ. 2018 The tyranny of metrics.
Princeton, NJ: Princeton University Press.
Vann MG. 2003 Of rats, rice, and race: the great
Hanoi rat massacre, an episode in French
colonial history. Fr. Colon. Hist. 4, 191–203.
(doi:10.1353/fch.2003.0027). S2CID 143028274.
Smaldino PE, McElreath R. 2016 The natural
selection of bad science. R. Soc. Open Sci. 3,
3160384160384. (doi:10.1098/rsos.160384)
Smaldino PE, Turner MA, Contreras Kallens PA.
2019 Correction to ‘Open science and modified
funding lotteries can impede the natural
selection of bad science’. R. Soc. Open Sci. 6,
6191249191249. (doi:10.1098/rsos.191249)
Gross K, Bergstrom CT. 2019 Contest models
highlight inherent inefficiencies of scientific
funding competitions. PLoS Biol. 17, e3000065.
(doi:10.1371/journal.pbio.3000065)
Brette R. 2022 Le modèle managérial de la
recherche - Critique et alternative [A critique of the
managerial model of research]. Med. Sci. (Paris)
2022, 84–88. French. (doi:10.1051/medsci/
2021247). English: See: http://romainbrette.fr/
WordPress3/wp-content/uploads/2022/01/A-
critique-of-the-managerial-model-of-research.pdf
Racimo F, Galtier N, De Herde V, Aubert Bonn N,
Phillips B, Guillemaud T, Bourguet D. 2022
Ethical publishing: how do we get there?
Zenodo 14, 15. (doi:10.5281/zenodo.6289488)
Fanelli D. 2020 Pressure to publish: what effects
do we see? In Gaming the metrics: misconduct and
manipulation in academic research (eds M
Biagioli, A Lippman). Cambridge, MA: MIT Press.
Fang FC, Casadevall A. 2011 Retracted science
and the retraction index. Infect. Immun. 79,
3855–3859. (doi:10.1128/IAI.05661-11)
Fang FC, Steen RG, Casadevall A. 2012
Misconduct accounts for the majority of
retracted scientific publications. Proc. Natl Acad.
48.
47.
45.
46.
49.
50.
51.
52.
53.
54.
55.
Sci. USA 109, 17– 028–17 033. (doi:10.1073/
pnas.1212247109)
Brembs B. 2018 Prestigious science journals
struggle to reach even average reliability. Front.
Hum. Neurosci. 12, 37. (doi:10.3389/fnhum.
2018.00037)
Dienes Z. 2020 The inner workings of Registered
Reports. PsyArXiv preprint. (doi:10.31234/osf.io/
yhp2a)
Kepes S, Keener SK, McDaniel MA, Hartman NS.
2022 Questionable research practices among
researchers in the most research-productive
management programs. J. Org. Behav. 43,
1190–1208. (doi:10.1002/job.2623)
Dougherty MR, Horne Z. 2022 Citation counts
and journal impact factors do not capture some
indicators of research quality in the behavioural
and brain sciences. R. Soc. Open Sci. 9,
9220334220334. (doi:10.1098/rsos.220334)
Shattock M, Horvath A. 2021 The governance of
British higher education: the impact of
governmental, financial and market pressures.
Bloomsbury Higher Education Research. London,
UK: Bloomsbury Academic.
Landemore H. 2020 Open democracy: reinventing
popular rule for the 21st century. Princeton, NJ:
Princeton University Press.
Jones G. 2020 10% less democracy: why you
should trust elites a little more and the masses a
little less. Stanford, CA: Stanford University
Press.
56. Massimini M, Ferrarelli F, Huber R, Esser SK,
Singh H, Tononi G. 2005 Breakdown of cortical
effective connectivity during sleep. Science 309,
2228–2232. (doi:10.1126/science.1117256)
Latora V, Marchiori M. 2001 Efficient behavior of
small-world networks. Phys. Rev. Lett. 87,
198701. (doi:10.1103/PhysRevLett.87.198701)
Fishkin JS. 2011 When the people speak:
deliberative democracy and public consultation.
Oxford, UK: Oxford University Press.
57.
58.
59.
60.
61.
63.
62.
Fishkin JS. 2018 Democracy when the people are
thinking: revitalizing our politics through public
deliberation. Oxford, UK: Oxford University Press.
Smith G. 2009 Democratic innovations: designing
institutions for citizen participation. Cambridge,
UK: Cambridge University Press.
O’Flynn I. 2022 Deliberative democracy.
Cambridge, UK: Polity Press.
Abers R, King R, Votto D, Brandao I. 2018 Porto
Alegre: participatory budgeting and the
challenge of sustaining transformative change.
Case study, World Resources Institute. See:
https://www.wri.org/research/porto-alegre-
participatory-budgeting-and-challenge-
sustaining-transformative-change.
Gastil J, Knobloch KR. 2020 Hope for democracy:
how citizens can bring reason back into politics.
Oxford, UK: Oxford University Press.
64. McCormick JP. 2011 Machiavellian democracy.
Cambridge, UK: Cambridge University Press.
Tangian A. 2020 Analytic theory of democracy:
history, mathematics, and applications. Cham,
Switzerland: Springer.
Deutsch D. 2011 The beginning of infinity:
explanations that transform the world. London,
UK: Allen Lane.
Popper KR. 1945/1974 The open society and its
enemies: volume 1, Plato. London, UK: Routledge.
Farrell DM, Suiter J. 2019 Reimagining
democracy: lessons in deliberative democracy
from the Irish frontline. Ithaca, NY: Cornell
University Press.
Fukuyama F. 2014 Political order and political
decay: from the industrial revolution to the
globalization of democracy. London, UK: Profile
Books.
66.
65.
68.
67.
69.
70. McGregor D. 1960 The human side of enterprise,
71.
annotated edn. New York, NY: McGraw Hill.
Semler R. 1993 Maverick! The success story
behind the world’s most unusual workplace.
London, UK: Random House Business Books.
13
r
o
y
a
l
s
o
c
i
e
t
y
p
u
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10.1038_s41556-023-01184-y.pdf
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Data availability
All data that support the findings of this study are available within the
paper and its supplementary files. Sequencing data that support the
findings of this study have been deposited in the Gene Expression Omni-
bus under accession code GSE208072. Previously published RNA-seq
data from BCC, SCC and normal EpdSCs that were re-analysed here are
available under accession code GSE152487. Source data are provided
with this paper. All other data supporting the findings of this study are
available from the corresponding author on reasonable request.
Code availability
All bioinformatic analysis tools and pipelines used in this study are
documented in the method section. Codes are available from the cor-
responding author upon reasonable request.
|
Data availability All data that support the findings of this study are available within the paper and its supplementary files. Sequencing data that support the findings of this study have been deposited in the Gene Expression Omnibus under accession code GSE208072 . Previously published RNA-seq data from BCC, SCC and normal EpdSCs that were re-analysed here are available under accession code GSE152487 . Source data are provided with this paper. All other data supporting the findings of this study are available from the corresponding author on reasonable request. Code availability All bioinformatic analysis tools and pipelines used in this study are documented in the method section. Codes are available from the corresponding author upon reasonable request. Article https://doi.org/10.1038/s41556-023-01184-y Extended Data Fig. 1 | See next page for caption. Nature Cell Biology Article https://doi.org/10.1038/s41556-023-01184-y Materials availability. Will be provided upon request and available upon publication.
|
The pioneer factor SOX9 competes for
epigenetic factors to switch stem cell fates
https://doi.org/10.1038/s41556-023-01184-y
Received: 8 January 2023
Accepted: 8 June 2023
Published online: 24 July 2023
Check for updates
Yihao Yang1,7, Nicholas Gomez1,2,7, Nicole Infarinato1,3, Rene C. Adam1,4,
Megan Sribour1, Inwha Baek1,5, Mélanie Laurin1,6 & Elaine Fuchs
1
During development, progenitors simultaneously activate one lineage
while silencing another, a feature highly regulated in adult stem cells but
derailed in cancers. Equipped to bind cognate motifs in closed chromatin,
pioneer factors operate at these crossroads, but how they perform fate
switching remains elusive. Here we tackle this question with SOX9, a
master regulator that diverts embryonic epidermal stem cells (EpdSCs)
into becoming hair follicle stem cells. By engineering mice to re-activate
SOX9 in adult EpdSCs, we trigger fate switching. Combining epigenetic,
proteomic and functional analyses, we interrogate the ensuing chromatin
and transcriptional dynamics, slowed temporally by the mature EpdSC
niche microenvironment. We show that as SOX9 binds and opens key hair
follicle enhancers de novo in EpdSCs, it simultaneously recruits co-factors
away from epidermal enhancers, which are silenced. Unhinged from its
normal regulation, sustained SOX9 subsequently activates oncogenic
transcriptional regulators that chart the path to cancers typified by
constitutive SOX9 expression.
From development to malignancy, cells face decisions of fate determina-
tion. Governing the reprogramming from one fate to another, pioneer
factors are transcription factors that can recognize and access their
cognate binding motifs in compacted and repressed chromatin1. In vitro
studies have shown that when a pioneer factor binds, it displaces the
nucleosome, permitting the opening and remodelling of the chromatin
landscape to change gene expression2,3. Recent studies have begun to
uncover interactions of various pioneer factors with histone-modifying
enzymes and members of the SWI/SNF chromatin remodelling complex2.
However, the order of events in chromatin remodelling has remained
elusive due to the rapid time frame of reprogramming in vitro where cells
are outside local restraints of their tissue microenvironments. Even less
clear is the role of pioneer factors in accomplishing the other side of fate
switching, namely the silencing of a cell’s previous identity2.
In this Article, seeking the answers to these enigmas, we focused
on the SOX superfamily of context-specific pioneer factors, whose
members are at the nexus of critical cell fate choices in embryonic
development, tissue homeostasis and transition to malignancy4–7. In
skin, SOX9 is first expressed when multipotent embryonic epidermal
progenitors bifurcate to become SOX9+ hair follicle stem cells (HFSCs)
and SOX9neg epidermal stem cells (EpdSCs)8–10. In the next step of hair
follicle morphogenesis, SOX9+ HFSCs bifurcate again to form SOX9neg
transit amplifying hair shaft progenitors. Basal cell carcinoma (BCC)
formation from EpdSCs resembles the initial steps of embryonic hair
follicle morphogenesis, but once re-activated, SOX9 is sustained,
leading to invaginating follicle-like tumour masses that lack hair line-
ages11–14. Here we recapitulated these reprogramming events by gene-
rating mice in which we could inducibly re-activate and sustain SOX9
expression in adult EpdSCs.
Not encountered in vitro or in embryogenesis, the mature tis-
sue stem cell niche imposed physiological constraints that slowed
SOX-mediated chromatin reprogramming. This enabled the unravelling
1Howard Hughes Medical Institute, Robin Chemers Neustein Laboratory of Mammalian Cell Biology and Development, The Rockefeller University,
New York, NY, USA. 2Present address: Allen Institute for Cell Sciences, Seattle, WA, USA. 3Present address: PRECISIONscientia, Yardley, PA, USA.
4Present address: Regeneron Pharmaceuticals, Tarrytown, NY, USA. 5Present address: Kyung Hee University, Seoul, South Korea. 6Present address:
CHU de Québec-Université Laval Research Center, Quebec City, Quebec, Canada. 7These authors contributed equally: Yihao Yang, Nicholas Gomez.
e-mail: fuchslb@rockefeller.edu
Nature Cell Biology | Volume 25 | August 2023 | 1185–1195
1185
nature cell biologyArticleof sequential events that happen as SOX9 achieves a cell fate switch that
when dysregulated later progresses to a tumourigenic state. By dissect-
ing the temporal steps of epigenetic reprogramming, we show that
SOX9 binds to closed chromatin at HFSC enhancers, where it recruits
histone and chromatin modifiers to remodel and subsequently open
chromatin for transcription. In doing so, SOX9 redistributes co-factors
away from EpdSC enhancers, thereby silencing these genes indirectly
but efficiently. Moreover, when the ability of SOX9 to bind DNA is abro-
gated, it still silences, but when it cannot bind chromatin remodellers,
the switch fails altogether. Together, our findings illuminate how fate
switching can be achieved through the direct activating functions of a
pioneer factor, which then unleashes transcriptional repression through
indirect competition for epigenetic co-factors. We further show that
SOX9 regulates downstream transcription factors to drive tumourigen-
esis, which explains the delay in subsequent reprogramming events.
Results
SOX9 launches a transcriptional cascade towards BCC in EpdSC
To interrogate SOX9 reprogramming in adult tissue stem cells, we engi-
neered mice harbouring a MYC-epitope-tagged Sox9 transgene con-
trolled by a tetracycline responsive enhancer and a minimal promoter
(TRE-Sox9) (Extended Data Fig. 1a). After validating the specificity of
transgene induction (Extended Data Fig. 1b), we bred selected mice to
lines expressing the requisite tetracycline-inducible transcriptional
activator (rtTA) driven by an epidermal (Krt14) promoter (Krt14-rtTA)15,
and selected mice that induced MYC–SOX9 in EpdSCs at levels compa-
rable to SOX9 in adult HFSCs (Extended Data Fig. 1c,d).
Upon doxycycline (DOX) administration (D0), adult mice were
monitored weekly thereafter (Fig. 1a). Within the first 2 weeks, mor-
phology and differentiation seemed unaffected (Extended Data Fig. 1e).
However, by week (W)1, nuclear SOX9 was detected in the EpdSCs of the
innermost (basal) epidermal layer (Fig. 1b). By W2, a rise in proliferation
was detected, similar to that seen when SOX9 is naturally induced in
embryonic epidermis10 (Extended Data Fig. 1f).
Between W2 and W6, de novo invaginations began to grow between
native HFs (Fig. 1b and Extended Data Fig. 1e). As differentiation defects
necessitated killing mice by W6, we monitored later events in SOX9
reprogramming by engrafting neonatal Krt14-rtTA;TRE-Sox9 skin
patches onto immunocompromised mice. Once normal skin patho-
logy was restored (21 days after grafting), we induced SOX9 (Fig. 1a).
By W12 post-induction, invaginations were dysplastic, resembling
morphological and molecular (SOX9, EpCAM and KRT6) features of
human BCCs (Extended Data Fig. 1g).
To gain further insights, we profiled the transcriptomic changes
occurring in EpdSCs during SOX9-driven reprogramming. At each
timepoint, two biological replicates of RNA sequencing (RNA-seq)
were performed on fluorescence-activated cell sorting (FACS)-purified
EpdSCs from Krt14-rtTA;TRE-Sox9 skins (Extended Data Fig. 2a,b). By
comparing transcriptomes across time, we identified the significantly
variable genes (P < 0.05) along the reprogramming cascade (Fig. 1c and
Supplementary Table 1). As expected, the D0 population displayed the
hallmark signature of EpdSCs, replete with mRNAs encoding epidermal
master regulator transcription factors, TRP63 and GATA3, key signal-
ling pathways (NOTCH and EGFR), and epidermal structural proteins.
Despite few morphological changes within 2 weeks after induc-
tion, SOX9+ EpdSCs displayed dramatic transcriptional changes,
mimicking transcriptional changes that occur when embryonic skin
progenitors naturally induce SOX9 and divert from an epidermal to
hair follicle fate10. Thus, epidermal genes were markedly suppressed,
while classical markers of the embryonic hair bud and adult hair follicle
outer root sheath (ORS) were upregulated, as supported by gene set
enrichment analysis (GSEA) (Fig. 1c,d). The kinetics of these reprogram-
ming events in adult EpdSCs, however, was markedly slower in the adult
than in embryonic skin or in cultured cells, suggestive of the need to
override the constraints of the mature epidermal niche.
As in BCC development, progression to mature HFs did not hap-
pen, in agreement with the need for Sox9 downregulation for HFSCs
to generate the hair and its channel10,16. However, with sustained SOX9
expression, the transcriptional changes continued, and by W6–12,
cancer-associated features appeared. At W12, GSEA revealed a strong
correlation, both up and down, with the molecular signature of BCC
compared with normal skin14,17 (Fig. 1c,d). Although the similarities in
gene expression were strongest at late stages, they surfaced as early
as W2, that is, before overt phenotypic changes, and clearly favoured
a BCC versus squamous cell carcinoma (SCC) signature (Extended
Data Fig. 2c,d).
SOX9 is a bona fide pioneer factor
To understand how SOX9 acts as a master regulator to induce these
transcriptional dynamics, we began by performing CUT&RUN (cleav-
age under targets and release using nuclease; hereafter termed CNR)
sequencing18,19 to temporally assay the binding of SOX9 to chromatin,
and assay for transposase-accessible chromatin with high-throughput
sequencing (ATAC-seq)20,21 to interrogate chromatin accessibility dur-
ing reprogramming (Fig. 2a,b). Biological replicates were concord-
ant, and the SOX motif was most enriched in our SOX9 CNR peak sets
(Extended Data Fig. 3a–c).
SOX9 binding to chromatin occurred rapidly within W1 and
before the rise in proliferation. In contrast, the increase in accessibil-
ity at SOX9-binding sites occurred between W1 and W2, indicating
that SOX9 can bind to closed chromatin (Fig. 2a). In fact, of all the
SOX9 CNR peaks pooled from W1 to W12, nearly 30% were situated
within closed chromatin at D0 (Fig. 2c). Moreover, by W2, nucleo-
some occupancy was lost at these sites as measured by histone H3
(Fig. 2c). Additionally, these SOX9-bound opening peaks displayed
a time-dependent decrease in CNR fragment length. These features
are hallmarks of nucleosome displacement and pioneer factor activ-
ity22, providing compelling evidence that SOX9 in skin EpdSCs binds
to its cognate motifs within closed chromatin, and subsequently
perturbs nucleosomes.
SOX9 induces global chromatin changes at distal enhancers
Since SOX9 bound to closed chromatin at W1, and presumptive nucleo-
some loss occurred soon thereafter, these events seemed unlikely to
account fully for the tumourigenic transcriptional dynamics (Fig. 1c).
Probing deeper, we examined how ATAC peaks and their associated
genes changed over time.
Principal component analysis (PCA) of chromatin accessibility
showed clustering according to times post-SOX9 induction (Fig. 2d).
D0 and W1 samples clustered closely, W2 constituted an intermediary,
and later timepoints (W6 and W12) made a second cluster. Comparative
analyses across all timepoints revealed that many ATAC peaks were
shared across samples, reflective of housekeeping genes and/or genes
common to both EpdSCs and HFSCs (for example, Krt5) (Fig. 2e). By
contrast, other ATAC peaks exhibited strikingly dynamic behaviour (for
example, WNT-target Ctnnb1), indicative of SOX9-induced temporal
chromatin remodelling. These dynamic changes were particularly
striking at W2 after SOX9 induction (Fig. 2e). Of the peaks that opened
by W2, many persisted thereafter.
Upon binning peaks as either static (present at all timepoints,
n = 38,079) or dynamic (absent in at least one timepoint, n = 62,626),
it was clear that dynamic peaks were substantially more enriched
in distal intergenic regions than static peaks (Fig. 2f and Extended
Data Fig. 3e), suggesting a special role for SOX9 in eliciting chromatin
changes at enhancers.
Direct and indirect chromatin remodelling induced by SOX9
K-means clustering of the dynamic ATAC peaks resolved the temporal
changes in chromatin accessibility following SOX9 induction. Although
more than 10,000 peaks (cluster C4) opened at later timepoints (Fig. 3a),
Nature Cell Biology | Volume 25 | August 2023 | 1185–1195
1186
Articlehttps://doi.org/10.1038/s41556-023-01184-ya
Temporal Sox9 induction in EdpSCs
Krt14-rtTA;TRE-Sox9
Age to P21
Graft P0 skin to Nude
mice then age to P21
P0
c
D0
W1
W2
W6
W12
Samples are collected at indicated timepoints
D0
W1
W2
W6
Mouse
dies
Inject DOX
Skin
graft
DOX feed
b
SOX9 DAPI
D0
W1
W2
W6
Epidermis
Dermis
W12
Grafts are collected only at W12 W12
d
GSEA
confirms SOX9-induced EpdSC fate switching
Hair placode
Differential gene expression (P < 0.05)
SOX9+ placode
versus
SOX9neg placode
W2 (early) versus D0 expression
W2 (early) versus D0 expression
e
r
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E
0.4
0.3
0.2
0.1
0
–0.1
P < 0. 001
NES 1.32
e
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0.1
0
–0.1
–0.2
–0.3
–0.4
P < 0.001
NES –1.39
Bach2
Lrp6
Dkk3
Gli2
Irx3
Macf1
Foxp4
Trpv4
Ccnd2
SOX9+ placode genes
SOX9neg placode genes
BCC
lesion
Differential gene expression (P < 0.05)
BCC cells
versus
Normal EpdSCs
W12 (late) versus D0 expression
W12 (late) versus D0 expression
e
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m
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E
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0
P < 0.001
NES 1.92
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0.1
0
–0.1
–0.2
–0.3
–0.4
–0.5
–0.6
P < 0.001
NES –0.61
Gata3
Trp63
Cdkn1a
Klf5
Jun
Wnt7a
Egr1
Tgfbr2
Bmp2
Jag2
Vdr
Tcf7l2
Nfix
Nfib
Nfatc1
Lgr4
Sox4
Foxc1
Krt17
Runx3
Runx2
Runx1
Lgr5
Zeb1
Wnt5a
Vim
Tnc
Sox18
Snai3
Pthlh
Krt16
Fstl1
Elk3
Cd200
–2.00
0
2.00
BCC upregulated genes
BCC downregulated genes
Fig. 1 | In EpdSCs of adult skin, sustained SOX9 re-activation silences the
epidermal while activating the hair follicle and subsequently BCC fates.
a, Schematic of SOX9 induction in EpdSCs of adult and post-engrafted skin.
b, Immunofluorescence reveals the appearance of nuclear SOX9 in EpdSCs
after DOX induction. Dotted lines denote epidermal–dermal borders. Scale
bars, 50 μm. c, Heat map of temporal RNA-seq data shows significantly variable
genes (DESeq2 Wald test, adjusted P value <0.05) across combined independent
replicates (r > 0.94) of each of five indicated timepoints. Hierarchical clustering
revealed five distinct patterns, shown as coloured bars on the right with
representative transcripts indicative of specific fates. d, GSEA of W2 versus
D0 SOX9-induced expression changes in adult EpdSCs compared with SOX9+
and SOX9neg wild-type placode gene signatures from embryonic day E15.5 (top)
(Kolmogorov–Smirnov test, P < 0.001 for both gene sets), and W12 versus D0
SOX9-induced EpdSC expression changes compared to BCC upregulated and
downregulated signatures (bottom) (Kolmogorov–Smirnov test, P < 0.001 for
both gene sets). NES, normalized enrichment score.
the most substantial changes occurred between W1 and W2. Using
Genomic Regions Enrichment of Annotations Tool (GREAT), we assessed
the biological pathways associated with each of the six clusters.
C1 and C6 closed within the first 2 weeks and were enriched for
pathways with direct importance to EpdSCs (Fig. 3b and Supplemen-
tary Table 2). By contrast, C2 and C5 markedly increased their chro-
matin accessibility during this time and were enriched for hair follicle
development and SHH signalling, key not only in stimulating ORS/
HFSC lineage proliferation23–25 but also in driving BCCs11,12,14 (Fig. 3b).
Also notable was a downregulation of AP1, EGFR and TGFβ signalling
pathways, which are known to be elevated in BCCs that develop resist-
ance to SHH inhibitors26. Many of the pathways enriched in the C2/C5
clusters were also implicated in other cancers previously associated
with SOX9 expression27–29.
The role of SOX9 in activating the ORS/HFSC fate appeared to be
direct, as chromatin that opened by W2 was associated with hair fol-
licle development and displayed both SOX motifs and SOX9 binding
(Fig. 3b,c). These peaks also persisted in an accessible state and were
still prominent from W6 to W12 (Fig. 3a). By contrast, late-opening
C4-associated genes were not related to HFSC fate. Many of their peaks
only entered a more accessible state sometime after W2, coincident
with the late BCC gene induction per our transcriptome analysis (Fig.
1c,d). Intriguingly, these peaks were not enriched for SOX but rather
RUNX, AP1 and NF-κB motifs (Fig. 3c). Moreover, whereas the Sox9
transgene was induced by W1, Runx1–Runx3 in particular were high-
est at W2-W6 (Fig. 1b,c). Given that RUNX1 suppresses basosquamous
features in therapeutic-resistant human BCCs30, the sustained Runx
expression underscored a BCC-like rather than SCC-like phenotype.
Nature Cell Biology | Volume 25 | August 2023 | 1185–1195
1187
Articlehttps://doi.org/10.1038/s41556-023-01184-y
a
b
s
k
a
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p
R
N
C
9
X
O
S
l
l
A
d
Schematic for in vivo temporal chromatin profiling
Homeostasis
Upregulated
HF fate
BCC-like
downgrowths
c
EpdSC
Time on
DOX
D0
W1
W2
W6
W12
Isolate EpdSC via FACS
SOX9 binds to closed chromatin before
acquiring accessibility
SOX9 CNR
IgG
D0 W1 W2 W6 W12
ATAC
D0 W1 W2 W6 W12
0 300 600
±2 kb from SOX9 peak centre
0
1
2
PCA plot at ATAC-seq samples
l
a
n
g
i
s
3
H
0.020
0.015
0.010
0.005
10
5
0
–5
–10
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n
a
i
r
a
v
%
6
:
2
C
P
Early
Late
Mid
–40
–20
0
20
PC1: 88% variance
D0
W1
W2
W6
W12
f
Dynamic peaks are more distal to TSS
than static peaks
Static
Dynamic
y
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s
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d
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v
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t
a
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1.0
0.8
0.6
0.4
0.2
0
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5
10
15
log2(distance to TSS)
20
SOX9-mediated nucleosome displacement and chromatin relaxation
D0 ATAC peaks
W1–W12 SOX9 peaks
29,563
27,771 9,815
Opening SOX9 peaks
Opening SOX9
peaks
Shuffled
regions
Transcription factor
pA-MNase
Primary Ab
Compact nucleosome
Longer CNR fragments
Relaxed nucleosome
)
p
b
(
h
t
g
n
e
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9
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O
S
150
100
50
0
D0
W2
Shorter CNR fragments
W1 W2 W6 W12
–2
0
2
–2
0
2
Distance from SOX9 peak centre (kb)
e
)
3
0
1
×
(
s
k
a
e
p
n
i
t
c
e
s
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.
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N
40
38,079
7,954
8,093
6,843
5,272
4,600
30
20
10
0
D0
W1
W2
W6
W12
D0
W1
W2
W6
W12
D0
W1
W2
W6
W12
2 kb
1 kb
Ctnnb1
Krt5
3,321
2,531
1,516
1,349
859
660
537
320
200
Static
Dynamic
Fig. 2 | Upon induction, SOX9 opens chromatin at enhancers by evicting the
nucleosome at its binding site and remodelling the flanking chromatin.
a, Schematic of morphological changes that occur temporally after DOX. Back
skins were collected at indicated timepoints and subjected to EpdSC FACS
purification followed by SOX9 CNR landscaping and ATAC-seq. b, Heat map of IgG
control CNR (blue), SOX9 CNR (blue) and ATAC-seq (orange) signals at all SOX9-
bound peaks across indicated timepoints. Peaks are arranged along the vertical
axis on the basis of their accessibility at W1. Note that, within the cohort of peaks
in the bottom half along this axis, SOX9 binding occurred by W1, while their ATAC-
seq landscape did not change until the following week. c, Top left: Venn diagrams
show that, although SOX9 binds to many pre-existing accessible chromatin peaks,
9,815 SOX9 peaks open de novo. MINT-ChIP for histone H3 (H3) coupled with
SOX9 CNR reveals that, by W2 post-induction, SOX9 binds to these previously
closed peaks, concomitant with displacement of histone H3 at the SOX9-bound
site. Right: schematic and data showing that CNR fragment length shortens
between W1 and W2, correlating with SOX9 binding and nucleosome eviction.
n = 2 biological replicates. Box plot is centred at median and bound by first and
the third quartile, and whiskers extend to 1.5 times interquartile range (IQR) on
both ends. d, PCA of ATAC-seq duplicate samples over the five timepoints. e, Upset
plot of ATAC-seq peaks for each timepoint following SOX9 induction. Shared
regions between timepoints are indicated by the dots and connecting lines. Grey
inset shows a genome browser track of the generic skin stem cell Krt5 locus as
an example of a static gene region. Blue inset depicts a dynamic region of the
WNT-target HFSC gene Ctnnb1 that is open by W2 and remains open across W6 and
W12 timepoints. f, Empirical cumulative distribution plot of dynamic (blue) and
static peaks (grey) and their density relative to the transcription start site (TSS)
of the nearest gene. Note that dynamic peaks are primarily associated with distal
regions, typically encompassing enhancers.
We also performed temporal motif analysis with ChromVAR31,
which considers both enrichment and chromatin accessibility vari-
ability at each motif. In addition to SOX, AP1(FOS/JUN), GATA and RUNX
were top variable motifs. To learn how motif accessibility varied over
time, we plotted accessibility deviation scores for each timepoint and
compared them with a motif (TBX) that showed no temporal variability.
Agreeing with motif enrichments in C4, the RUNX motifs continued to
gain accessibility from W2 to W6 (Fig. 3c and Extended Data Fig. 3f).
Delving deeper, the Runx1 gene locus was closed at D0, but within
W1 after induction, the locus revealed SOX9 binding at multiple sites
(Fig. 3d). Since the dynamic peaks were enriched at distal intergenic
regions (Fig. 2f), we performed multiplexed T7-indexed chromatin
Nature Cell Biology | Volume 25 | August 2023 | 1185–1195
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Articlehttps://doi.org/10.1038/s41556-023-01184-y
a Dynamic peaks K-means
b
Pathway enrichment in clusters
c
Motif enrichment in clusters
Gene hits
30
60
90
120
−log(Padj)
90
60
30
C1: 9,298
C2: 7,398
C4: 10,740
Skin development
Epidermis development
Hair follicle development
Cell junction assembly
Glioma
TGFβ pathway
SMAD2/3 signalling
Small-cell lung cancer
Pancreatic cancer
C5: 8,428
Chronic myeloid leukaemia
C3: 18,447
C6: 8,345
Colorectal cancer
Hedgehog signalling
Integrin signalling
VEGFR signalling
mTOR signalling
Protein translation
0.05
P value
0
0.1
STAT
(STAT)
NFKB
(RHR)
SOX
(HMG)
RUNX
(Runt)
AP1/FOS/JUN
(bZIP)
CTCF
(Zf)
REST
(Zf)
HNF/POU
(homeodomain)
GATA
(Zf)
MEF
(MADS)
C1 C2 C3 C4 C5 C6
Clusters
C1 C2 C3 C4 C5 C6
Cluster
e
RUNX1 DAPI
D0
W6
W12
f
y
t
i
l
i
b
i
s
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c
a
n
i
t
a
m
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h
C
g
Footprinting at C4 late-opening peaks
RUNX
0.26
0.01
n = 420
W12
W2
y
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b
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s
s
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c
c
a
n
i
t
a
m
o
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h
C
0.15
SOX
0.02
n = 939
W12
W2
–100 bp
0
100 bp
–100 bp
0
100 bp
Distance from motif
footprint centre
Distance from motif
footprint centre
GO terms of late opening RUNX footprints
clustering
D0 W1 W2 W6 W12
ATAC signal
0.5
1.5
2.5
d
C
A
T
A
R
N
C
9
X
O
S
1
e
m
4
K
3
H
D0
W1
W2
W6
W12
D0
W1
W2
W6
W12
D0
W1
W2
W6
W12
Runx1
0
Blood vessel development
Vasculature development
Stem cell proliferation
Blood vessel morphogenesis
Regulation of stem cell proliferation
–log10(binomial P value)
8
12
4
16
Fig. 3 | SOX9 triggers an activated HFSC fate, while its target gene
transcription factors trigger BCC transformation. a, Heat map of K-means
clustering of ATAC peaks based on signal across time. Number of peaks in each
cluster are indicated on the right. b, GO-term analysis of the genes associated
with each peak of a cluster. Size of circle reflects the number of gene hits for each
pathway, while the shade of red indicates adjusted P value (Padj) from binomial
test. Note that cluster C1, whose chromatin is suppressed by W2, is enriched for
epidermal genes, while C2, whose chromatin is accessible by W2, is enriched for
hair follicle genes. C4, whose chromatin is accessible at later times, is the cluster
most enriched for BCC genes. c, Motif enrichment analysis of each cluster with
HOMER. Shade of red indicates P value with white representing ≥0.01 (binomial is
used to calculate the significance). Note enrichment for: GATA motif in epidermal
genes whose chromatin closes after SOX9 induction; SOX motif in hair follicle
genes whose chromatin opens early; and the SOX9 target RUNX1 motif in genes
whose chromatin opens weeks after SOX9 has bound. d, Chromatin landscape
of the Runx1 gene locus, showing that pioneer factor SOX9 binds to this gene
(blue), concomitant with early increases in H3K4me1 modifications across the
locus (purple), while chromatin accessibility (orange) comes afterwards. Red
boxes indicate regions that are bound by SOX9, primed at W1 and opened at W2.
e, RUNX1 immunofluorescence reveals its absence in epidermal homeostasis,
but its presence at late timepoints (W6 and W12) following SOX9 induction. Scale
bars, 50 μm. f, RUNX and SOX ATAC footprint analyses at W12 and W2, showing
a late increase in chromatin accessibility at the RUNX footprint at a stage when
phenotypic BCC-like invaginations are prevalent. By comparison, SOX footprints
appear by W2 and are retained thereafter. g, GO terms of genes whose putative
enhancers have RUNX footprints and open at W6 and W12 (binomial is used to
calculate the significance).
immunoprecipitation (MINT-ChIP)32 on enhancer histone modifica-
tion, H3K4me1, which also showed binding to this locus within W1.
By contrast, accessibility did not occur until a week later (Fig. 3d).
Immunofluorescence corroborated the delay in activating the Runx1
locus, and underscored its prominence at later stages of reprogram-
ming (Fig. 3e). Finally, footprint analyses exposed an increase in chro-
matin accessibility at RUNX footprints over the late-opening C4 ATAC
peaks (Fig. 3f and Extended Data Fig. 3g). This contrasted with SOX
footprints, which appeared early and then remained constant from
W2 to W12 (Fig. 3f).
Gene Ontology (GO)-term analyses of the genes associated with
these late-opening RUNX footprints reflected stem cell proliferation,
and angiogenesis, hallmarks of cancers (Fig. 3g). Together, these data
imply that later changes involved not only SOX9 but also transcrip-
tion factors that were directly targeted by SOX9, notably of the RUNX
family, whose motifs were also enriched as noted above. Although we
did not address whether RUNX factors operate as pioneer factors, the
enrichment of RUNX motifs coincident with the rise in proliferation
during BCC-like downgrowth raised the possibility that proliferation
may enhance if not allow accessibility of these factors to chromatin.
Nature Cell Biology | Volume 25 | August 2023 | 1185–1195
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Articlehttps://doi.org/10.1038/s41556-023-01184-y92,560 92,600 92,640 92,680 165 kbchr16:92,533,035–92,698,884(0–9.35)(0–9.35)(0–9.35)(0–9.35)(0–9.35)(0–12,147)(0–12,147)(0–12,147)(0–12,147)(0–12,147)(0–2.04)(0–2.04)(0–2.04)(0–2.04)(0–2.04)
a
H3K4me1 increases at SOX9-bound peaks before their opening
b
)
1
+
l
a
n
g
i
s
C
A
T
A
2
g
o
(
l
1.0
0.5
0
ATAC
SOX9 CNR
ATAC
H3K4me1
1.0
1.0
l
0.5
Identification of SOX9 co-factors by BioID
0.5
o
g
2
(
S
O
X
9
C
N
R
S
g
n
a
l
i
+
1
)
)
1
+
l
a
n
g
i
s
C
A
T
A
2
g
o
(
l
0.5
0.25
l
(
o
g
2
H
3
K
4
m
e
1
s
i
g
n
a
l
+
1
)
Primary EpdSC
+DOX
Mass spectrometry
Collect cells
+Biotin
Krt14-rtTA;TRE-Sox9-BioID2
or
Krt14-rtTA;TRE-NLS-GFP-BioID2
D0
D5
D6
D7
D0 W1 W2 W6 W12
D0 W1 W2 W6 W12
0
0
0
c
SOX9-specific chromatin activation interactors
d
MLL methyltransferases are
recruited to SOX9-bound peaks
e
MLL3/4 are recruited to newly
occupied SOX9 binding sites
Arid1a
Arid1b Smarcd2
Ruvbl1 Taf9
Chromatin remodellers and transcription
initiation factors
Kmt2a
(Mll1)
Kmt2c
(Mll3)
Kmt2d
(Mll4)
Ep300
JunB Fosl2
Histone modifiers
AP1 TFs
Counts/106
200
400
800
)
1
+
l
a
n
g
i
s
R
N
C
4
/
3
L
L
M
(
2
g
o
l
8
6
4
2
MLL3/4 CNR
D0 MLL3/4 peaks
W1 MLL3/4 peaks
Fraction of peaks
bound by SOX9
17,963
19,109 12,518
D0 W1 W2
Name
Motif
SOX(HMG)
CTCF(Zf)
P value
1 × 10−27
1 × 10−2
0.4
0.3
0.2
0.1
0
D0 only W1 only
MLL3/4 peaks
Fig. 4 | SOX9 recruits co-factors to epigenetically prime and then remodel
chromatin to an open, transcriptionally accessible state. a, Left: box plot
comparing ATAC (orange) and SOX9 CNR (blue) signals at SOX9 peaks that
transition from closed to open chromatin over time. Note that SOX9 binding
increases markedly by W1, preceding chromatin accessibility at these sites by
nearly a week. Right: box plot comparing ATAC (orange) and MINT-ChIP H3K4me1
(purple) signals at SOX9 peaks that open over time. Note that H3K4me1 follows
the time course of SOX9 binding, again preceding chromatin accessibility.
n = 2 biological replicates. Box plots are centred at median and bound by first
and the third quartile, and whiskers extend to 1.5 times interquartile range
(IQR) on both ends. b, Schematic of BioID2 proximity labelling of proteins that
interact with SOX9 induced in cultured EpdSCs. c, Selected SOX9-interacting
proteins detected with mass spectrometry and that fall into the top GO terms of
chromatin remodellers of the SWI/SNF family; transcription initiation factors
(TAF9), AP1 transcription factors; and enzymes that modify histones (MLL1, MLL3,
MLL4 and p300). For full list, see Supplementary Table 3. Circle size corresponds
to the strength of the hit as delineated at right. d, Box plot of MLL3/4 CNR signals
reveals the appearance of MLL3/4 at SOX9-bound peaks following DOX. n = 2
biological replicates. Box plot is centred at median and bound by the first and
the third quartile, and whiskers extend to 1.5 times IQR on both ends. e, Venn
diagrams providing further evidence that the de novo MLL3/4 peaks that appear
between D0 and W1 are highly enriched for bound SOX9 (binomial P = 1 × 10−27),
whereas the 17963 MLL3/4 peaks lost at W1 do not show any significant motif
enrichment over all D0 MLL3/4 peaks and are not associated with SOX9-bound
sites, inconsistent with a repressor role for SOX9.
SOX9 induces epigenetic remodelling before opening chromatin
The substantial delay between H3K4me1 and SOX9 versus chromatin
accessibility and transcription of the Runx1 gene led us to wonder
whether this might be a general phenomenon of SOX9 reprogram-
ming. To address this, we compared ATAC and histone modification
signals over time at all opening SOX9 peaks (Fig. 2c). Correlating with
SOX9 binding, H3K4me1 deposition occurred within W1 and levelled
off thereafter (Fig. 4a), preceding chromatin accessibility changes at
W2. By contrast, H3K27ac changes, while appearing by W1, were less
robust and, in further contrast, continued to rise over time relative to
SOX9 and H3K4me1 (Extended Data Fig. 4b).
Notably, although the nucleosomes directly over SOX9-binding
sites appear to have been evicted, H3K4me1 was strongly enhanced
on nucleosomes flanking SOX9 (Extended Data Fig. 4c). Moreover,
the domain size of H3K4me1 gradually increased from D0 to W2. This
did not occur at static peaks, but rather specifically at SOX9-bound
opening peaks (Extended Data Fig. 4d).
Activating HFSC enhancers
To understand how SOX9 directly activates HFSC enhancers, we began
by identifying SOX9-interacting co-factors. To this end, we transduced
Krt14-rtTA primary EpdSCs in vitro with TRE-Sox9-BioID2 and control
TRE-GFP-NLS-BioID2 and then induced expression of each transgene
using DOX (Extended Data Fig. 5a). One week later, biotinylated
SOX9-interacting proteins were purified and analysed by mass spec-
trometry (Fig. 4b).
Biological replicates correlated highly and formed distinct clusters
by PCA (Extended Data Fig. 5b–d). Fifty-eight proteins interacted with
SOX9 relative to NLS-GFP EpdSCs (Supplementary Table 3). On the basis
of protein function and GO-term analysis, SOX9-interacting proteins
were mainly DNA and chromatin binders enriched in chromatin modi-
fications and nuclear activity. Among the strongest SOX9 interactions
were with core members of the SWI/SNF chromatin remodelling com-
plex (ARID1a/b and SMARCD2), TATA box binding protein TAF9 (TFIID)
required for RNA polymerase II-mediated induction of transcrip-
tion, and AP1 (FOSL2 and JUNB) (Fig. 4c and Extended Data Fig. 5e,f).
Histone modifiers typifying key active enhancers in developmental
contexts were also featured. As SOX9-induced opening peaks were
more enriched at enhancers over promoters (Extended Data Fig. 3e),
we were intrigued to find modifiers of two histone marks enriched at
active enhancers: Ep300, the acetyltransferase for H3K27ac, and MLL3/
MLL4, histone methyltransferases that not only can deposit H3K4me1
but possibly play additional emerging roles in enhancer activation33–35.
Since we observed an increase in H3K4me1 at SOX9 targeted
enhancers before H3K27ac or chromatin opening, we first focused
on whether, as predicted, MLL3/4 are recruited by SOX9 to closed
Nature Cell Biology | Volume 25 | August 2023 | 1185–1195
1190
Articlehttps://doi.org/10.1038/s41556-023-01184-y
a
Closing chromatin is not bound by SOX9
Opening ATAC peaks
(C2 + C4 + C5)
W1–W12 SOX9 peaks
18,273
8,293
(31%) 19,691
Closing ATAC peaks
(C1 + C6)
W1–W12 SOX9 peaks
17,113
530
(3%)
27,454
d
TRE
PGK
MycTag-WT-SOX9
PuroR
OR
MycTag-∆TA-SOX9
Lack trans-activation (TA) domain
OR
MycTag-∆HMG-SOX9
Lack DNA-binding domain
D0
D3
D6
Primary Krt14-rtTA EpdSC
Puromycin
selection
+ DOX
Collect cells
f
ATAC peaks
closed by WT SOX9
ATAC peaks
closed by ∆HMG SOX9
D0
W1
W2
D0
W1
W2
D0
W1
W2
Truncated versions of SOX9 fail to open chromatin
MYC-tag CNR
WT-SOX9
∆TA
No DOX
ATAC
∆HMG
No DOX
WT-SOX9
∆TA
∆HMG
b
C
A
T
A
9
X
O
S
4
/
3
L
L
M
e
s
k
a
e
p
9
X
O
S
-
T
W
l
l
A
c
Closing chromatin loses H3K4me1 and MLL3/4
)
1
+
l
a
n
g
i
s
1
e
m
4
K
3
H
2
g
o
(
l
0.5
0.4
0.3
0.2
0.1
0
1
,
2
0
7
p
e
a
k
s
b
o
u
n
d
b
y
b
o
t
h
W
T
a
n
d
∆
T
A
S
O
X
9
H3K4me1
8 MLL3/4 CNR
7
6
5
4
3
)
1
+
l
a
n
g
i
s
R
N
C
4
/
3
L
L
M
(
2
g
o
l
D0 W1 W2
D0 W1 W2
∆TA SOX9 fails to
recruit MLL3/4 or deposit H3K4me1
)
1
+
l
a
n
g
i
s
R
N
C
4
/
3
L
L
M
(
10
2
g
o
l
5
MLL3/4 CNR
H3K4me1
)
1
+
l
a
n
g
i
s
1
e
m
4
K
3
H
2
g
o
(
l
12
10
8
6
500
1,250
± 2 kb from WT-SOX9 peak centre
0 1
32
4
∆TA SOX9
No DOX
WT SOX9
No DOX
∆TA SOX9
WT SOX9
8,644
6,296
(64%)
3,592
GO of peaks closed upon
both WT or ∆HMG SOX9 induction
–log10(binomial P value)
16
12
0
4
8
Negative regulation of haemopoiesis
Regulation of apoptotic signalling pathway
Epithelial cell differentiation
Keratinocyte differentiation
Regulation of epidermis development
Adherens junction organization
Fig. 5 | SOX9 achieves EpdSC fate silencing independent from DNA binding.
a, Top: Venn diagram shows robust overlap between opening peak clusters
(C2 + C4 + C5) and SOX9 peaks. Bottom: Venn diagram shows only 3% overlap
between closing peaks (C1 + C6) and SOX9 peaks. b, ATAC, SOX9 CNR and
MLL3/4 CNR tracks at the Gata3 locus, showing that, by W1 after SOX9 induction,
MLL3/4 CNR peaks were diminished, and by W2, ATAC peaks closed, even though
CNR showed no SOX9 binding in this region (red box). c, Box plots showing
loss of MLL3/4 and H3K4me1 signal beginning at W1 post SOX9-induction and
specifically at ATAC peaks that close by W2 (C1, C6). n = 2 biological replicates.
d, Schematic of inducing of MYC-tagged wild-type (WT) or mutant versions of
SOX9 in transduced Krt14-rtTA cultured EpdSCs. e, Profile plot and heat map
showing MYC-tagged wild-type or variant SOX9 binding (blue) and accessibility
(orange) before and after DOX. Peaks are sorted the same way across samples.
Note that ΔHMG-SOX9 fails to bind DNA, and ΔTA-SOX9 binds only to the subset
Vim
P = 0.0041
**
P = 0.0042
**
g
n
o
i
s
s
e
r
p
x
e
e
v
i
t
a
l
e
R
300
200
100
0
Gata3
Trp63
P = 0.032 P = 0.027
P = 0.039 P = 0.042
*
*
*
*
n
o
i
s
s
e
r
p
x
e
e
v
i
t
a
l
e
R
1.5
1.0
0.5
0
n
o
i
s
s
e
r
p
x
e
e
v
i
t
a
l
e
R
1.5
1.0
0.5
0
WT ∆TA ∆HMG
WT ∆TA ∆HMG
WT ∆TA ∆HMG
of SOX9 peaks that were already accessible before DOX. Both mutants of SOX9
failed to open chromatin de novo. Right: box plot comparing MLL3/4 CNR and
H3K4me1 signals at the peaks that are bound by wild-type SOX9 and ΔTA-SOX9.
Note that only wild-type SOX9 brought additional MLL3/4 and deposited more
H3K4me1 to these peaks. n = 2 biological replicates. f, Venn diagram shows
overlap between the ATAC peaks that are closed by wild-type SOX9 or ΔHMG-
SOX9 induction. GO terms reveal that epidermal enhancers close upon wild-type
or ΔHMG-SOX9 induction (binomial is used to calculate the significance).
g, Quantitative PCR analysis of genes that are directly induced (Vim) or indirectly
repressed (Gata3 and Trp63) by SOX9 in EpdSC cells. All the error bars are
mean ± s.d. *P < 0.05 and **P < 0.01, two-tailed t-test. n = 3 biological replicates.
All box plots are centred at median and bound by the first and third quartile, and
whiskers extend to 1.5 times interquartile range (IQR) on both ends.
chromatin in vivo. To validate the physical interaction, we exploited the
MYC tag of SOX9 and performed co-immunoprecipitations on cultured
EpdSC lysates with or without SOX9 induction, and then probed for
MLL4. Given the large size of MLL4 (>500 kDa) and the likelihood of
degradation, we used CRISPR–Cas9 to ablate Mll4 in these EpdSCs to
ensure correct band identification (Extended Data Fig. 5g).
After validation, we performed MLL3/4 CNR, reasoning that, if
MLL3/4 recruitment to chromatin is regulated by SOX9, de novo MLL3/4
targeted sites should be enriched with SOX9 binding. A marked increase
in MLL3/4 association with chromatin occurred between D0 and W2 at
opening SOX9-bound enhancers (Fig. 4d). Moreover, upon analysing
de novo MLL3/4 recruitment sites on chromatin at W1, we found that
SOX motifs were significantly enriched (Fig. 4e). These data began to
provide a clearer picture of how SOX9 functions as a pioneer factor,
as it not only binds to closed chromatin but also recruits co-factors to
epigenetically modify flanking histones. The data from Fig. 4c further
hinted that SOX9 recruits the SWI/SNF complex to make the chromatin
accessible for transcription.
Nature Cell Biology | Volume 25 | August 2023 | 1185–1195
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Articlehttps://doi.org/10.1038/s41556-023-01184-y9,860 kb9,870 kb25 kb(0–4.48)(0–4.48)(0–4.48)(0–10,000)(0–10,000)(0–10,000)(0–633)(0–633)(0–633)Gata3Chromosome 2
a
0.8
0.6
0.4
0.2
0
300
200
100
0
C
A
T
A
R
N
C
4
/
3
L
L
M
∆HMG SOX9 redistributes
MLL3/4 and closes chromatin
No DOX
WT-SOX9
∆HMG
b
y
t
i
l
i
b
i
s
s
e
c
c
a
n
i
t
a
m
o
r
h
C
AP1 footprint dynamics after SOX9 induction
0.87
n = 1,866
0.19
D0
W1
y
t
i
l
i
b
i
s
s
e
c
c
a
n
i
t
a
m
o
r
h
C
0.74
n = 8,137
0.19
W2
W1
± 2 kb from centres of 6,296 closing peaks
Distance from AP1 motif footprint centre
–100 bp
0
100 bp
–100 bp
0
100 bp
AP1 in C1/C6 closing peaks
AP1 in W1–W12 SOX9 CNR peaks
d
R
N
C
)
1
P
A
N
U
J
(
R
N
C
)
1
P
A
N
U
J
(
No DOX
WT-SOX9
∆HMG
± 2 kb from centres of closing peaks
800
600
400
200
0
4,000
3,000
2,000
1,000
0
± 2 kb from centres of WT-SOX9 bound peaks
g
e
1
G
R
B
a
1
D
R
A
I
R
N
C
)
F
N
S
/
I
W
S
(
R
N
C
)
F
N
S
/
I
W
S
(
4,000
3,000
2,000
1,000
0
4,000
3,000
2,000
1,000
0
No DOX
WT-SOX9
∆HMG
No DOX
WT-SOX9
∆HMG
R
N
C
)
F
N
S
/
I
W
S
(
R
N
C
)
F
N
S
/
I
W
S
(
1
G
R
B
a
1
D
R
A
I
800
600
400
200
0
600
400
200
0
No DOX
WT-SOX9
AFOS
AFOS +
WT-SOX9
c
3
2
1
l
a
n
g
i
s
C
A
T
A
± 2 kb from centres of WT-SOX9 bound peaks
No DOX
WT-SOX9
AFOS
AFOS +
WT-SOX9
± 2 kb from centres of closing peaks
No DOX
WT-SOX9
∆HMG
ARID1a +
WT-SOX9
0.8
0.6
0.4
0.2
l
a
n
g
i
s
C
A
T
A
f
0.8
0.6
0.4
0.2
3
2
1
0
0.8
0.6
0.4
0.2
0
± 2 kb from centres of
WT SOX9 bound peaks
± 2 kb from centres of
closing peaks
± 2 kb from centres of closing peaks
SOX9 re-activation
SOX motif
AP1 motif
HFSC enhancers
SOX9
H3K4me1
AP1
SOX9
AP1
H3K27ac
EpdSCs
MLL3/4
SWI/SNF
AP1
TF
Enhancer
activation
complex
SWI/SNF MLL3/4
Co-factor
hijacking
MLL3/4
SWI/SNF
AP1 TF
W2
SWI/SNF MLL3/4
HFSC genes ↑ and
SOX9-induced BCC TFs ↑
(for example, Runx1)
BCC genes ↑
W2–12
EpdSC enhancers
EpdSC genes ↓
EpdSC genes ↓↓
Homeostasis (D0)
Primed (W1)
Fate switched (W2–12)
Fig. 6 | SOX9 redistributes chromatin remodelling co-factors to activate
HFSC enhancers and silence EpdSC enhancers. a, Profile plots showing
that ATAC and MLL3/4 CNR signals wane at EpdSC enhancers upon wild-type
SOX9 and ΔHMG-SOX9 induction. Note that, when SOX9 cannot bind to DNA
(ΔHMG), it still diminishes MLL3/4 at endogenous EpdSC enhancers and closes
their chromatin. b, AP1 footprint analyses in closing ATAC peaks and SOX9 CNR
peaks. Note that chromatin accessibility at AP1 footprints decreases over closing
epidermal peaks by W1 and increases over opening SOX9-bound peaks by W2
(see also Fig. 5a). c, Top: profile plots and heat maps comparing ATAC signals
at wild-type SOX9 (WT-SOX9) bound peaks in vitro. While WT-SOX9 can open
chromatin, dominant negative FOS (AFOS) inhibits the opening as shown in the
last column. Bottom: profile plots and heat maps comparing ATAC signals at
closing peaks in vitro. AFOS phenocopies the indirect closing effect of SOX9 on
AP1-associated epidermal enhancers. d, Top: profile plots showing that JUN CNR
signals are reduced at EpdSC enhancers upon wild-type SOX9 and ΔHMG-SOX9
induction. Bottom: supportive of competition, wild-type SOX9 recruits AP1
to HFSC enhancers, while ΔHMG-SOX9, lacking the DNA binding domain, fails
to do so. e, Profile plots showing that both BRG1 and ARID1a of the SWI/SNF
complex behave similarly to AP1 and MLL3/4: they are recruited to the opening
HFSC enhancers by only wild-type SOX9 (left), while both wild-type SOX9 and
ΔHMG-SOX9 reduce SWI/SNF association with epidermal enhancers (right). The
red dotted line denotes CNR levels of indicated target at closing peaks before
DOX. f, Profile plots comparing ATAC signals at closing epidermal enhancers with
wild-type SOX9, ΔHMG-SOX9 or ARID1a overexpression together with wild-type
SOX9. Note that, when ARID1a is overexpressed, SOX9 fails to close epidermal
enhancers. g, Working model for how SOX9 achieves cell fate switching: pioneer
factor SOX9 indirectly silences the epidermal fate by competing away co-factors
and other transcription factor (TFs) including AP1 from active EpdSC enhancers.
Concomitantly, SOX9 binds directly to key hair follicle enhancers, bringing with
it the hijacked chromatin remodelling machinery and activating the hair follicle
fate. Also among the SOX9 target genes are transcription factors such as RUNX1,
whose footprints appear to participate in the delayed activation of BCC cancer
genes, leading to further fate switching to BCC, downstream of the EpdSC-to-
HFSC fate transition.
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Silencing the epidermal fate
Interestingly, while SOX9 binding was highly enriched within peaks
that opened over time, it accounted for only 3% of peaks that closed
over time (Fig. 5a). The differences were even more striking when
we restricted our analysis to ATAC peaks changing over the first two
weeks (Extended Data Fig. 6a). These findings were consistent with
our SOX9 interactome, which was dominated by chromatin-activating
remodellers. Moreover, in contrast to the hair-follicle-associated GO
terms prominent in W2 SOX9-bound opening peaks, Epd-associated
GO-terms were featured among closing peaks that were not bound by
SOX9 (Extended Data Fig. 6b). We therefore hypothesized that SOX9
silences epidermal fate indirectly.
To further understand how epidermal fate is silenced, we were
intrigued by GATA factors, whose motif was markedly enriched in ATAC
peaks (C1, C6) that closed within the first 2 weeks after SOX9 induc-
tion and whose transcription factor footprint declined upon SOX9
induction (Extended Data Fig. 6c). GATAs surfaced upon analysing
the transcription factors expressed by EpdSCs and whose motifs are
highly enriched in closing chromatin (Extended Data Fig. 6d). GATA3
transcript and protein expression also declined concomitantly with
the closure of GATA motifs (Extended Data Fig. 6e).
The Gata3 gene locus also lost chromatin accessibility by W2,
but the decline happened only at non-SOX9-bound peaks. The near-
est SOX9-bound enhancer was >30 kb from the Gata3 gene body,
and like several other weaker peaks, this site was already open and
MLL3/4-bound before SOX9 was induced. Notably, subsequent SOX9
binding had little or no effect on its status (Extended Data Fig. 6f).
These findings suggest that the role of SOX9 in silencing epidermal
fate is at least in part indirect. Moreover, the result appeared to be
physiologically relevant as genes downregulated in SOX9+ embryonic
skin progenitors were also silenced when SOX9 was induced in adult
EpdSCs (Fig. 1d)36.
MLL3/4 presence over opening SOX9-dependent enhancer peaks
was robust by W2, as was H3K4me1 modification (Fig. 4a,d). By contrast,
the >6,000 SOX9-independent enhancer peaks that closed during this
time displayed plummeting MLL3/4 association and a more gradual loss
of H3K4me1 (Extended Data Fig. 7a). These findings raised the tanta-
lizing possibility that, in binding to nucleosomes at HFSC-enhancers,
SOX9 might be recruiting co-factors including MLL3/4 away from
active EpdSC enhancers.
To test this hypothesis, we engineered DOX-inducible MYC-tagged
wild-type and mutant forms of SOX9 that lacked either the transacti-
vation (ΔTA) domain or the DNA binding (ΔHMG) domain (Fig. 5d and
Extended Data Fig. 7b). In the transduced primary EpdSCs, immuno-
fluorescence levels of three versions of SOX9 were comparable, and
the ectopically expressed proteins were of the expected size (Extended
Data Fig. 7c,d). Additionally, as judged by co-immunoprecipitation,
only wild-type SOX9 and ΔHMG-SOX9, but not ΔTA-SOX9, associated
with MLL4, consistent with the inability of ΔTA to interact with chro-
matin remodellers (Extended Data Fig. 7e).
By using CNR with a MYC-tag antibody recognizing all three
SOX9 variants equivalently, we verified that wild-type SOX9 and the
ΔTA-SOX9 mutant, but not ΔHMG-SOX9, bound to DNA (Fig. 5e). Inter-
estingly, without the TA domain to interact with co-factors, ΔTA-SOX9
only bound to chromatin that was already accessible in EpdSCs. Con-
sistent with this result, the 1,207 peaks that were open before DOX and
bound by ΔTA-SOX9 did not show MLL3/4 recruitment nor did they
show H3K4me1 modification (shown at right). Additionally, and in
contrast to wild-type SOX9, ΔTA-SOX9 failed to stably bind to closed
chromatin of HFSC enhancers, indicating that, without binding to
co-factors, SOX9 lost the defining feature of pioneer factors.
Although ΔHMG-SOX9 did not bind DNA, it had a striking effect on
chromatin accessibility. Nearly 10,000 ATAC peaks closed and >8,000
peaks opened upon induction (Extended Data Fig. 7f). As this mutant
was unable to bind DNA, it was not surprising to see that the GO-term
profile of the opening peaks was dramatically different than that of
wild-type SOX9 (Extended Data Fig. 7g). Rather than HFSC features,
the changes were more reflective of a stressed state. By contrast, in the
ATAC peaks that closed in response to ΔHMG-SOX9, 64% of them were
also closed by wild-type SOX9, and the GO terms corresponded to the
same EpdSC genes indirectly silenced by wild-type SOX9 (Fig. 5f,g).
Competition for SOX9-interacting chromatin remodellers
Consistent with the hypothesis that SOX9 closes chromatin by compet-
ing for and redistributing co-factors, MLL3/4 CNR signal diminished
over EpdSC enhancers upon ΔHMG-SOX9 induction (Fig. 6a). Prob-
ing deeper, we turned to AP1 transcription factors, which surfaced in
our SOX9 interactome. In agreement with the dynamics observed for
MLL3/4, footprint analysis in vivo revealed that AP1 binding decreased
in closing non-SOX9-bound epidermal enhancers and increased in
SOX9-bound chromatin (Fig. 6b). Moreover, in these SOX9-bound
opening peaks, SOX and AP1 motifs were mostly found within
one-nucleosome distance, supporting a role for SOX9 in targeting
AP1 transcription factors to their canonical binding sites upon opening
hair follicle enhancers (Extended Data Fig. 7h).
Notably, motif analyses revealed the presence of AP1-binding
sites in both closing and opening enhancers (Extended Data Fig. 3f),
suggesting that the interaction between SOX9 and AP1 may be function-
ally important for both opening SOX9+ HFSC enhancers and closing
SOX9neg EpdSC enhancers. To test the possibility that enhancers might
be competing for AP1 binding, we used the strategy delineated in Fig. 5d
to induce AFOS, a dominant negative version of c-FOS that can heter-
odimerize with AP1 transcription factors and block their binding to
DNA37,38. We performed these experiments in the presence and absence
of wild-type SOX9, and then carried out ATAC-seq. In the peaks that were
bound by wild-type SOX9, AFOS clearly interfered with the opening of
the HFSC enhancers, while also phenocopying the closing effects of
SOX9 at EpdSC enhancers when expressed alone (Fig. 6c).
Our data thus far suggested that, like MLL3/4, AP1 transcription
factors function on both sides of the fate coin. To test whether other
members of the interactome are targets for this putative competition
for SOX9-binding partners, we focused on AP1 transcription factors and
the SWI/SNF complex. After first validating their association with SOX9
(Extended Data Fig. 7i,j), we performed CNR analysis. We found that
induction of wild-type SOX9 resulted in increased JUN(AP1) binding at
SOX9-bound peaks, and decreased JUN binding at closing epidermal
peaks. Notably, while ΔHMG-SOX9 failed to recruit JUN and open hair
follicle enhancers, it still diminished JUN binding at closing epidermal
peaks (Fig. 6d). Similarly, when we performed CNR on both structural
(ARID1a) and enzymatic (BRG1) members of the SWI/SNF complex, we
observed a decline in their association with epidermal enhancers when
either wild-type SOX9 or ΔHMG-SOX9 were induced, but an increased
association with SOX9-bound peaks only after wild-type SOX9 and not
ΔHMG-SOX9 induction (Fig. 6e).
Together, these data suggest that SOX9 orchestrates the redistribu-
tion of transcription factors and epigenetic co-factors that are shared by
the enhancers of both cell fates. Moreover, this competition appeared to
be predicated in part on limiting levels of chromatin remodelling factors,
as when we overexpressed ARID1a in the presence of SOX9, epidermal
enhancers were rescued from closing (Fig. 6f and Extended Data Fig. 7i,j).
Discussion
Elegant studies by the Zaret lab launched the field of pioneer factors,
now examined in various fate-switching scenarios and distinguished by
their ability to bind their sequence motifs within closed chromatin1,2.
However, the precise sequence of nucleosome eviction, opening of
surrounding chromatin, and reprogramming fate choices has been dif-
ficult to unravel, particularly in in vitro settings, where fate choices lack
constraints imposed by native tissue microenvironments. By exploiting
the slowed kinetics of our in vivo reprogramming system, we discovered
Nature Cell Biology | Volume 25 | August 2023 | 1185–1195
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Articlehttps://doi.org/10.1038/s41556-023-01184-ythat SOX9 not only perturbs its target nucleosome but also recruits
enzymes that modify the flanking enhancer nucleosomes. Like SOX9
binding itself, these features precede the subsequent chromatin open-
ing to the transcriptional machinery. As our ΔTA-SOX9 studies imply,
these dynamics appear to be achieved by SOX9 recruiting of chromatin
remodelling factors such as AP1 TFs and the SWI/SNF complex39,40.
It has generally been viewed that a pioneer factor can act either
as a transcriptional activator or as a repressor through recruiting dif-
ferent cohorts of co-activators or co-repressors1,2. At first glance, this
notion seems well suited to nodes of lineage switching, where one fate
is silenced while another is chosen. However, increasing evidence sug-
gests that pioneer factors may bind and directly regulate the enhancers
of only one lineage at the crossroads, leaving a conundrum as to how
the other lineage becomes silenced to achieve the switch.
Our findings showed clearly that EpdSC gene silencing occurs
shortly after SOX9 induction, a timing that is at odds with the notion
that SOX9 might induce transcriptional repressors that then sub-
sequently silence epidermal genes. Moreover, in contrast to HFSC
enhancers, many of which bind SOX9 and are opened de novo, EpdSC
enhancers show a paucity of SOX9 binding and yet close rapidly upon
SOX9 induction.
Rather to prevailing notions, our findings favour a dual function
model whereby a pioneer factor actively hijacks and redistributes
shared co-factors to achieve cost-effective and coordinated fate switch-
ing from one lineage to another (Fig. 6g). Thus, following SOX9 induc-
tion in EpdSCs, MLL3/4 binding increased at SOX9-bound opening
HFSC enhancers, while diminished at closing non-SOX9-bound EpdSC
enhancers. Our studies with wild-type SOX9 and ΔHMG-SOX9 revealed
that not only does SOX9 interact with MLL3/4, but also with a compen-
dium of co-factors essential to activate enhancers, which include not
only MLL3/4 but also AP1 and SWI/SNF complex.
In closing, although direct repressive mechanisms independ-
ent from chromatin accessibility are still formally possible, our data
suggest that at least some chromatin remodellers that are generally
required for enhancer activity are in short supply, thereby setting
up the competition to achieve fate switching once a pioneer factor
such as SOX9 is activated. By utilizing such a mechanism, cellular fate
plasticity is minimized, while simultaneously expediting the shift in
density of shared transcriptional regulators to genomic loci of new
fate determinants.
Finally, it is noteworthy that, to make tissue, stem cells must
undergo a fate choice, which for SOX9+HFSCs, is achieved by down-
regulating SOX9 (ref. 16). In our model as in BCC, SOX9 was constitutive
and hence the choice to make hair was never made. Moreover, when left
outside the instructive microenvironment of the quiescent hair follicle
bulge niche, the proliferating cells with sustained SOX9 activated SOX9
downstream target transcription factor genes, such as those encoding
the RUNX family, that secondarily drove further dynamic changes in
the chromatin landscape. These findings begin to explain how and why
in adult tissue stem cells, sustained re-activation of a pioneer factor
involved in embryonic fate decisions frequently leads to cancer5,6,41.
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maries, source data, extended data, supplementary information,
acknowledgements, peer review information; details of author con-
tributions and competing interests; and statements of data and code
availability are available at https://doi.org/10.1038/s41556-023-01184-y.
References
1.
Zaret, K. S. Pioneer transcription factors initiating gene network
changes. Annu. Rev. Genet 54, 367–385 (2020).
2. Balsalobre, A. & Drouin, J. Pioneer factors as master regulators
of the epigenome and cell fate. Nat. Rev. Mol. Cell Biol. 23,
449–464 (2022).
3. Soufi, A. et al. Pioneer transcription factors target partial DNA
motifs on nucleosomes to initiate reprogramming. Cell 161,
555–568 (2015).
4. Fuglerud, B. M. et al. SOX9 reprograms endothelial cells by
altering the chromatin landscape. Nucleic Acids Res. 50,
8547–8565 (2022).
5. Grimm, D. et al. The role of SOX family members in solid tumours
6.
and metastasis. Semin. Cancer Biol. 67, 122–153 (2020).
Julian, L. M., McDonald, A. C. & Stanford, W. L. Direct
reprogramming with SOX factors: masters of cell fate. Curr. Opin.
Genet Dev. 46, 24–36 (2017).
7. Kamachi, Y. & Kondoh, H. Sox proteins: regulators of cell
fate specification and differentiation. Development 140,
4129–4144 (2013).
8. Nowak, J. A., Polak, L., Pasolli, H. A. & Fuchs, E. Hair follicle stem
cells are specified and function in early skin morphogenesis.
Cell Stem Cell 3, 33–43 (2008).
9. Kadaja, M. et al. SOX9: a stem cell transcriptional regulator of
secreted niche signaling factors. Genes Dev. 28, 328–341 (2014).
10. Ouspenskaia, T., Matos, I., Mertz, A. F., Fiore, V. F. & Fuchs, E.
WNT-SHH antagonism specifies and expands stem cells prior to
niche formation. Cell 164, 156–169 (2016).
11. Oro, A. E. et al. Basal cell carcinomas in mice overexpressing
sonic hedgehog. Science 276, 817–821 (1997).
12. Vidal, V. P. et al. Sox9 is essential for outer root sheath
differentiation and the formation of the hair stem cell
compartment. Curr. Biol. 15, 1340–1351 (2005).
13. Youssef, K. K. et al. Identification of the cell lineage at the origin of
basal cell carcinoma. Nat. Cell Biol. 12, 299–305 (2010).
14. Larsimont, J. C. et al. Sox9 controls self-renewal of oncogene
targeted cells and links tumor initiation and invasion. Cell Stem
Cell 17, 60–73 (2015).
15. Nguyen, H., Rendl, M. & Fuchs, E. Tcf3 governs stem cell
features and represses cell fate determination in skin. Cell 127,
171–183 (2006).
16. Yang, H., Adam, R. C., Ge, Y., Hua, Z. L. & Fuchs, E. Epithelial–
mesenchymal micro-niches govern stem cell lineage choices.
Cell 169, 483–496 e413 (2017).
17. Fiore, V. F. et al. Mechanics of a multilayer epithelium instruct
tumour architecture and function. Nature 585, 433–439 (2020).
18. Skene, P. J., Henikoff, J. G. & Henikoff, S. Targeted in situ
genome-wide profiling with high efficiency for low cell numbers.
Nat. Protoc. 13, 1006–1019 (2018).
19. Skene, P. J. & Henikoff, S. An efficient targeted nuclease strategy
for high-resolution mapping of DNA binding sites. eLife 6,
e21856 (2017).
20. Buenrostro, J. D., Giresi, P. G., Zaba, L. C., Chang, H. Y. & Greenleaf,
W. J. Transposition of native chromatin for fast and sensitive
epigenomic profiling of open chromatin, DNA-binding proteins
and nucleosome position. Nat. Methods 10, 1213–1218 (2013).
21. Corces, M. R. et al. The chromatin accessibility landscape of
primary human cancers. Science https://doi.org/10.1126/science.
aav1898 (2018).
22. Meers, M. P., Janssens, D. H. & Henikoff, S. Pioneer factor-
nucleosome binding events during differentiation are motif
encoded. Mol. Cell 75, 562–575 e565 (2019).
23. Oro, A. E. & Scott, M. P. Splitting hairs: dissecting roles
of signaling systems in epidermal development. Cell 95,
575–578 (1998).
24. Hsu, Y. C., Li, L. & Fuchs, E. Transit-amplifying cells
orchestrate stem cell activity and tissue regeneration. Cell 157,
935–949 (2014).
25. Oshimori, N. & Fuchs, E. Paracrine TGF-β signaling
counterbalances BMP-mediated repression in hair follicle stem
cell activation. Cell Stem Cell 10, 63–75 (2012).
Nature Cell Biology | Volume 25 | August 2023 | 1185–1195
1194
Articlehttps://doi.org/10.1038/s41556-023-01184-y26. Kuonen, F. et al. c-FOS drives reversible basal to squamous cell
carcinoma transition. Cell Rep. 37, 109774 (2021).
27. Wang, L. et al. Oncogenic role of SOX9 expression in human
malignant glioma. Med. Oncol. 29, 3484–3490 (2012).
28. Zhou, C. H. et al. Clinical significance of SOX9 in human
non-small cell lung cancer progression and overall patient
survival. J. Exp. Clin. Cancer Res. 31, 18 (2012).
29. Matheu, A. et al. Oncogenicity of the developmental transcription
factor Sox9. Cancer Res. 72, 1301–1315 (2012).
30. Haensel, D. et al. LY6D marks pre-existing resistant basosquamous
tumor subpopulations. Nat. Commun. 13, 7520 (2022).
31. Schep, A. N., Wu, B., Buenrostro, J. D. & Greenleaf, W. J.
chromVAR: inferring transcription-factor-associated
accessibility from single-cell epigenomic data. Nat. Methods 14,
975–978 (2017).
32. van Galen, P. et al. A multiplexed system for quantitative
comparisons of chromatin landscapes. Mol. Cell 61, 170–180 (2016).
33. Sze, C. C. & Shilatifard, A. MLL3/MLL4/COMPASS family on
epigenetic regulation of enhancer function and cancer. Cold
Spring Harb. Perspect. Med https://doi.org/10.1101/cshperspect.
a026427 (2016).
34. Dorighi, K. M. et al. Mll3 and Mll4 facilitate enhancer RNA
synthesis and transcription from promoters independently of
H3K4 monomethylation. Mol. Cell 66, 568–576 e564 (2017).
35. Rao, R. C. & Dou, Y. L. Hijacked in cancer: the KMT2 (MLL) family of
methyltransferases. Nat. Rev. Cancer 15, 334–346 (2015).
36. Nowak, J. A., Polak, L., Pasolli, H. A. & Fuchs, E. Hair follicle stem
cells are specified and function in early skin morphogenesis.
Cell Stem Cell 3, 33–43 (2008).
37. Ahn, S. et al. A dominant-negative inhibitor of CREB reveals that
it is a general mediator of stimulus-dependent transcription of
c-fos. Mol. Cell. Biol. 18, 967–977 (1998).
38. Olive, M. et al. A dominant negative to activation protein-1 (AP1)
that abolishes DNA binding and inhibits oncogenesis. J. Biol.
Chem. 272, 18586–18594 (1997).
39. Vierbuchen, T. et al. AP-1 transcription factors and the BAF
complex mediate signal-dependent enhancer selection. Mol. Cell
68, 1067–1082 e1012 (2017).
40. Wolf, B. K. et al. Cooperation of chromatin remodeling SWI/
SNF complex and pioneer factor AP-1 shapes 3D enhancer
landscapes. Nat. Struct. Mol. Biol. https://doi.org/10.1038/
s41594-022-00880-x (2022).
41. Kumar, P. & Mistri, T. K. Transcription factors in SOX family: potent
regulators for cancer initiation and development in the human
body. Semin. Cancer Biol. 67, 105–113 (2020).
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Articlehttps://doi.org/10.1038/s41556-023-01184-yMethods
Ethical regulation compliance
All animals used in this study were maintained and bred under
specific-pathogen-free conditions at the Comparative Bioscience
Center at The Rockefeller University, which is an Association for Assess-
ment and Accreditation of Laboratory Animal Care-accredited facility.
All procedures were performed with the Institutional Animal Care and
Use Committee-approved protocols (20012-H and 20066-H).
Generating and handling TRE-Sox9 mice
To generate the conditional SOX9 transgenic mice, the Sox9 coding
sequence was cloned into the pTRE2 vector harbouring a
DOX-inducible, minimal CMV2 promoter. A MYC tag was added to the
N terminus of SOX9. Transgenic mice were generated as described
previously42. The resulting TRE-Sox9 mice were then genotyped and
crossed to Krt14-rtTA transgenic mice15 to allow for DOX-inducible
expression of MYC–SOX9 specifically in skin epithelium.
Primary cell isolation
Primary Krt14-rtTA;TRE-Sox9 EpdSCs were isolated from newborn male
pups (postnatal day 0, or P0) as described previously16,43. Briefly, mouse
back skin was collected from P0 pups and treated with dispase (Gibco)
overnight at 4 °C. Epidermis was manually separated from dermis and
disassociated into a single-cell suspension. Epidermal cells were pas-
saged and maintained in E-low calcium medium44 (0.05 mM CaCl2) at
37 °C with 7.5% CO2.
DOX treatment
A total of 0.1 mg of DOX (Sigma) in 100 μl phosphate-buffered saline (PBS)
was administered by intraperitoneal injection to Krt14-rtTA;TRE-Sox9 and
Krt14-rtTA-only mice at postnatal day P21, and the mice were thereafter
were maintained on mouse chow containing 2 mg g−1 DOX throughout
the experimental time course. Phenotypic mice were housed with at least
one control littermate for adequate grooming. To maintain proper body
fluid, 100 μl PBS was administered through intraperitoneal injection
every other day after 4 weeks of SOX9 induction. For W12 samples, epi-
dermis from the back skin of P0 Krt14-rtTA;TRE-Sox9 or Krt14-rtTA-only
pups were grafted onto 6–8-week-old immunocompromised (Nude)
female mice. Grafts were allowed to heal for 21 days, and DOX was admin-
istered as above. For induction of SOX9 and its variants, AFOS and ARID1a
in cultured cells, DOX was added to a final concentration of 1 μg ml−1 in
E-low medium for BioID or SOX9 variant experiments.
Images were collected and analysed with Fiji (ImageJ v.2.3.0). For the
Human Atlas immunostaining, the following antibodies were used:
SOX9 (CAB068240), EpCAM (CAB030012) and KRT6A (HPA061168).
For cultured cells, cells were plated onto chamber slides (Thermo
Fisher). At collection, cells were fixed with 4% paraformaldehyde for
10 min, and then washed three times with PBS at room temperature.
After washing, the cells were blocked and stained with primary anti-
bodies the same way as described above for sections with the follow-
ing primary antibodies: HA-tag (rabbit, 1:1,000, Cell Signaling), GFP
(chicken, 1:2,000, Fuchs Lab), RFP (rat, 1:1,000, ChromoTek), and
MYC-tag (rabbit, 1:1,000, Cell Signaling).
For 5′-ethynyl-2′ deoxyuridine (EdU) experiments, mice were
injected IP with EdU (50 μg g−1 body weight) 2 h before analysis. Quan-
tifications were performed by counting the number of EdU+ EpdSCs
within the basal layer. For quantifying the SOX9 signal in the native
ORS and the SOX9-induced epidermis, sections were stained with same
SOX9 antibody concentration (1:5,000), and same laser intensity and
exposure time were used to acquire images. From each sample, 100
cells were quantified with the multi-point tool in Fiji.
Flow cytometry and cell sorting
Krt14-rtTA;TRE-Sox9 and Krt14-rtTA-only male mice were used for FACS
experiments to obtain maximal cell numbers and to control for varia-
tion due to sex. Briefly, the whole back skins were first dissected from
the mouse. After scraping off the fat tissues from the dermal side, the
tissues were incubated in 0.25% trypsin/ethylenediaminetetraacetic
acid (EDTA) (Gibco) for 45–60 min at 37 °C. After quenching the trypsin
with cold FACS buffer (5% foetal bovine serum, 10 mM EDTA and 1 mM
HEPES in PBS), the epidermal layer and HFs were scraped off the epi-
dermal side of the skin. The tissues were mechanically separated and
filtered through a 70 μm cell strainer (BD) into a single-cell suspension
for immunolabelling. Single-cell suspensions were immunolabelled
with antibodies: Ly6A/E-APCCy7 (1:500, BioLegend), CD49f-PECy7
1:1,000, BioLegend), CD34-Alexa660 (1:50 Invitrogen), CD45-biotin
(1:200, BioLegend), CD31-biotin (1:200, BioLegend), CD140a-biotin
(1:200, BioLegend), CD117-biotin (1:200, BioLegend), TruStain FcX
for blocking (1:1,000, BioLegend) and streptavidin-FITC (1:1,000,
BioLegend) in 300 μl of FACS buffer. Stained cells were washed and
resuspended with FACS buffer with 100 ng ml−1 DAPI before analysis or
sorting. EpdSCs were collected using an Aria Cell Sorters (BD Biosciences)
with BD FACSDiva (v. 8.0) into either FACS buffer for genomic experi-
ments or TRIzol LS (Invitrogen) for RNA extraction.
Immunofluorescence
Mouse back skin was fixed in 4% paraformaldehyde at room tempera-
ture for 15 min, and then washed three times with PBS for 15 min at 4 °C.
Following PBS washes, samples were dehydrated in 30% sucrose in PBS
4 °C overnight. The dehydrated samples were then embedded in optimal
cutting temperature (OCT) medium (VWR) and frozen on dry ice. Cryo-
sections (16 μm) were blocked in immunofluorescence buffer containing
0.3% Triton X-100, 2.5% normal donkey serum, 2.5% normal goat serum,
1% bovine serum albumin and 1% gelatin in PBS for 1 h at room tempera-
ture. After blocking, the sections were stained with primary antibodies
in immunofluorescence buffer at 4 °C overnight: MYC-tag (rabbit,
1:1,000, Cell Signaling), SOX9 (rabbit, 1:5,000, Millipore), ITGA6 (rat,
1:1,000, BD), KRT14 (chicken, 1:1,000, BioLegend), KRT10 (rabbit, 1:250,
Fuchs Lab), EpCAM (rabbit, 1:100, Abcam), KRT6 (guinea pig, 1:1,000,
Fuchs Lab), RUNX1 (rabbit, 1:100, Abcam), and GATA3 (rat, 1:100, Invit-
rogen). After primary antibody staining, all sections were washed three
times with immunofluorescence buffer containing 0.1% Triton X-100
in PBS for 5 min at room temperature. Sections were then stained with
Alexa 488, 546 or 647 conjugated secondary donkey antibodies (1:500,
Thermo Fisher), mounted with Prolong Diamond anti-fade mounting
medium with 4′,6-diamidino-2-phenylindole (DAPI, Thermo Fisher)
and imaged with Zeiss Axio Observer Z1 with Apotome 2 microscope.
RNA-seq and raw file processing
EpdSCs were collected by FACS as described above directly into TRIzol
LS (Invitrogen). RNA libraries were generated using SMARTer RNA kit
for low-input RNA-seq. Libraries were sequenced on Illumina NovaSeq
SP. Raw FASTQ files were trimmed of barcodes using Skewer (v.0.2.2)
and transcript abundance quantified using Salmon (v.1.4.0) with a
modified GENCODE transcript index (version GRCm38 release M24) to
include TRE-Sox9. Gene level counts and transcripts per million (TPM)
were calculated using the Tximport (v.1.12.3) package in R (v.3.6.1). For
hair placode RNA-seq data, after generating the raw counts, differen-
tially expressed (DEG) gene list was generated with DESeq2 (v.1.16.1).
ATAC-seq and raw file processing
ATAC-seq20 was performed on FACS-purified EpdSCs (two to four male
mice per replicate) at indicated timepoints (D0, W1, W2, W6 and W12)
and cultured keratinocytes. Briefly, cells were lysed in ATAC lysis buffer
for 5 min and then transposed with Tn5 transposase (Illumina) for
30 min. Samples were barcoded and sequencing libraries were prepared
according to the manufacturer’s guidelines (Illumina) and sequenced on
an Illumina NextSeq. For sequencing analysis, 50 bp paired-end FASTQs
were aligned to the mouse genome (GRCm38/mm10) using the PEPATAC
(v0.10.3) pipeline45. Replicate BAM files were merged, and peak calling
Nature Cell Biology
Articlehttps://doi.org/10.1038/s41556-023-01184-ywas performed using Model-based Analysis of ChIP-Seq 2 (MACS2) with
the option of ‘–keep-dup all’ to keep duplicates generated during the
combining of experimental replicates. Because peak calling is greatly
influenced by number of reads and sequencing depth, we normalized
peak calling as performed as described21 with a threshold of 3, and we
quantified reads in filtered peaks (RIP) for generating normalized bigwig
files. To do so, 1,000,000/RIP was used as input for Deeptools ‘bam-
coverage’ with the ‘–scaleFactor’ option. Shared peaks were defined as
regions that had ≥1 base pair overlap between two timepoints as shown
in Fig. 2e. Dynamic peaks were defined as those accessible chromatin
regions that were absent from at least one timepoint. For PCA analysis,
peaks called from combined replicates were merged to create a union
set of peaks across the samples. Read counts under the union peaks
were summed for each individual replicate and used as input for PCA
analysis or generating K-means clusters in R.
CNR and raw file processing
EpdSCs were FACS purified, and the CNR sequencing was performed
as previously described19,46 with minor modifications indicated below.
Briefly, 500,000–1,000,000 EpdSCs were washed with ice-cold PBS,
resuspended in crosslinking buffer (10 mM HEPES–NaOH pH 7.5,
100 mM NaCl, 1 mM egtazic acid (EGTA), 1 mM EDTA and 1% formalde-
hyde) and rotated at room temperature for 10 min. Crosslinked cells
were quenched with glycine at a final concentration of 0.125 M for
5 min at room temperature. Cells were washed with cold 1× PBS and
resuspended in NE1 buffer (20 mM HEPES–KOH pH 7.9, 10 mM KCl,
1 mM MgCl2, 1 mM dithiothreitol, 0.1% Triton X-100 supplemented
with Roche complete protease inhibitor EDTA-free) and rotated for
10 min at 4 °C. Nuclei were washed twice with CNR wash buffer (20 mM
HEPES pH 7.5, 150 mM NaCl, 0.5% bovine serum albumin and 0.5 mM
spermidine supplemented with protease inhibitor) and incubated
with concanavalin-A (ConA) beads washed with CNR binding buffer
(20 mM HEPES–KOH pH 7.9, 10 mM KCl, 1 mM CaCl2 and 1 mM MnCl2)
for 10 min at 4 °C. ConA-bead-bound nuclei were incubated overnight
at 4 °C in CNR antibody buffer (CNR wash buffer supplemented with
0.1% Triton X-100 and 2 mM EDTA) and antibody. After antibody incu-
bation, ConA-bead-bound nuclei were washed once with CNR Triton
wash buffer (CUT&RUN wash buffer supplemented with 0.1% Triton
X-100) then resuspended and incubated at 4 °C for 1 h in CUT&RUN
antibody buffer and 2.5 μl pAG-MNase (EpiCypher). ConA-bound-nuclei
were then washed twice with CUT&RUN Triton wash buffer and resus-
pended in 100 μl of Triton wash buffer and incubated on ice for 5 min.
Then, 2 μl 100 mM CaCl2 was added and mixed gently to each 100 μl
ConA-bound-nuclei. The reaction was then incubated at 0 °C for
30 min. The reaction was stopped by addition of 100 μl 2× stop buffer
(340 mM NaCl, 20 mM EDTA, 4 mM egtazic acid, 0.1% Triton X-100
and 50 μg ml−1 RNaseA) and incubated at 37 °C for 10 min. All buffers
mentioned above were filtered with 0.22 μm filter before use. After
incubation, ConA-bound-nuclei were captured using a magnet and
supernatant containing CNR DNA fragments were collected. Superna-
tant was incubated at 70 °C for 4 h with 2 μl 10% sodium dodecyl sulfate
and 2.5 μL 20 mg ml−1 proteinase K. DNA was purified using PCI reagent
(phenol:chloroform:isoamyl alcohol, Millipore) and overnight ethanol
precipitation with glycogen at −20 °C. DNA was resuspended in elution
buffer (1 mM Tris–HCl pH 8.0 and 0.1 mM EDTA).
CNR sequencing libraries were generated using NEBNext Ultra II
DNA Library Prep Kit for Illumina and NEBNext Multiplex Oligos for Illu-
mina. PCR-amplified libraries were purified using 1× ratio of SPRI beads
(Beckman) and eluted in 15 μl EB buffer (Qiagen). All CNR libraries were
sequenced on Illumina NextSeq using 40 bp paired-end reads. Reads
were trimmed with Skewer and aligned to reference genome (mm10)
using Bowtie2 (v.2.2.9) and deduplicated with Java (v.2.3.0) Picard tools
(http://broadinstitute.github.io/picard). Reads were filtered to ≤120 bp
using Samtools (v.1.3.1). BAM files for each replicate were combined
using Samtools. Bigwig files were generated using Deeptools (v.3.1.2)
Nature Cell Biology
with reads per kilobase of transcript per million mapped reads (RPKM)
normalization and presented with Integrative Genomics Viewer software.
CNR peaks were called using SEACR47 from bedGraph files generated from
RPKM-normalized Bigwig files (bigWigToBedGraph, UCSC Tools) using
stringent setting and a numeric threshold of 0.01. Peaks were further
filtered to have peaks scores >1,800 for a set of high-confidence peaks.
MINT-ChIP–seq and raw file processing
EpdSCs were FACS purified and subjected to histone ChIP–seq (MINT-ChIP)
with antibodies recognizing H3K4me1 (rabbit, Cell Signaling), H3K27ac
(rabbit, Active Motif) and Total H3 (mouse, Active Motif). Pooled sam-
ples were then sequenced using 50 bp paired-end Illumina NextSeq.
Resulting FASTQ files were demultiplexed for specific histone antibod-
ies by using the unique barcode present in sequenced read2. Resulting
paired reads were then trimmed for adapters using Skewer and aligned
to mouse genome (GRCm38/mm10) using Bowtie2. Duplicated reads
were marked and removed using Picard, and replicates were merged with
Samtools. Peak calling for H3K27ac was performed using MACS2, while
broad domains of H3K4me1 were called using epic2 (ref. 48). Samples
were independently normalized to the number of RIP. For visualization,
Bigwig files were generated on the combined BAM files using Deeptools
‘bamcoverage’ with (1,000,000/RIP) as input for the ‘–scalefactor’ option.
For total H3, RPKM was used for normalization.
BioID and mass spectrometry
For identification of SOX9-interacting partners we transduced pri-
mary Krt14-rtTA EpdSCs with LV-TRE-MYC-BioID2-GFP-NLS-H2B-RFP
or LV-TRE-MYC-BioID2-SOX9-H2B-RFP. RFP+ transduced cells were
then isolated using FACS, and stable EpdSC lines were established.
We induced expression of recombinant proteins using 1 μg ml−1 DOX.
Cells were allowed to expand for 5 days and were pulsed with 50 μM
biotin (Sigma) for 16 h before reaching confluence. Cells were purified
and proteins isolated as previously described49 with minor modifica-
tions mentioned below. Immediately after sonication, lysates were
washed using Zeba desalting columns (7K molecular weight cut-off,
ThermoFisher cat. no. 89894) with 50 mM Tris pH 7.4 to remove excess
biotin. Beads were also washed three times with 2 M urea and a final
two times with PBS before being resuspended with 500 μl 50 mM
Tris, pH 8.0. All washes were performed using a magnetic stand. New
tubes were used in between each urea and PBS washes. Wash buffer was
removed from suspension of magnetic beads and replaced with 100 μl
8 M urea, 50 mM ammonium bicarbonate and 10 mM dithiothreitol for
1 h and replaced with 100 μl 40 mM iodoacetamide and incubated in
the dark for 30 min. Alkylation solution was replaced with 1 μg trypsin
(Promega) dissolved in 100 μl 50 mM ammonium bicarbonate and incu-
bated for 4 h. Supernatant was then removed and re-digested overnight
using 0.5 μg trypsin and 0.5 μg Endopeptidase Lys-C (Wako). Peptides
were desalted and concentrated using C18-based Stage tips50 and sepa-
rated by nanoLC (gradient: 2% B/98% A to 38% B/62% A in 70 min, A: 0.1%
formic acid, B: 90% acetonitrile/0.1% formic acid) coupled to a Fusion
Lumos (Thermo Scientific) operated in high/high mode.
Data were queried with UniProts Complete Proteome mouse
database and concatenated with known common contaminants.
Proteome Discover and Mascot was used to analyse the result-
ing data produced. Data were further filtered using a percolator51
to calculate peptide false discovery rates and set a threshold of 1%.
Proteins were specific to SOX9’s proximity if they were identified in
two of the three MYC-BioID2-SOX9 replicates and absent from all the
MYC-BioID2-GFP-NLS samples. For the full list of SOX9-specific interac-
tors and raw counts, see Supplementary Table 3.
Generation of EpdSC lines expressing SOX9 and variants,
AFOS or ARID1a
Three versions of MYC-tagged SOX9 (WT, ΔTA and ΔHMG as indicated in
Extended Data Fig. 7b) were cloned into plKO vectors with a TRE promoter
Articlehttps://doi.org/10.1038/s41556-023-01184-yand a puromycin-resistance gene (puroR) under the control of a constitu-
tive promoter (PGK). Three lentiviruses were produced as described52.
Krt14-rtTA EpdSCs were cultured and transduced with 1 μl concentrated
lentivirus in 10 ml E-low medium with 8 μg ml−1 polybrene (hexadime-
thrine bromide, Sigma 107689-100MG) overnight. Transduced cells were
then selected with 2 μg ml−1 puromycin for 5 days before DOX treatment.
For AFOS and ARID1a experiments, Flag-tagged AFOS or Arid1a CDS were
cloned into the described plKO vector for lentiviral production. Krt14-rtTA
or Krt14-rtTA;TRE-mycSOX9 EpdSCs were cultured and transduced with
1 μl concentrated lentivirus as described above. Transduced cells were
also selected with puromycin for 5 days before DOX treatment.
CRISPR-mediated Mll4 knockout
To generate Mll4 (also known as Kmt2d) null lines, we cultured keratino-
cytes from the EpdSCs of our Krt14-rtTA, TRE-Sox9 mice. Lines were
generated with the Alt-R CRISPR–Cas9 system (Integrated DNA Tech-
nologies). Briefly, a recombinant Cas9 protein, a validated single guide
RNA (TGCTCGGCAACAGACGTGAC) targeting Mll4 or a negative control
single guide RNA (Integrated DNA Technologies), and an ATTO-550
conjugated tracer RNA were used to form a ribonucleoprotein were
mixed with RNAiMax reagent (Thermo Fisher). Then, keratinocytes
were transfected with the mixture overnight, and FACS purified into
96-well plates to produce clonal cell lines. The knockout cell lines were
validated through sequencing of the target region for indel efficiency
via MiSeq and used for the immunoblot of MLL4.
Immunoblotting and co-immunoprecipitation
Cultured EpdSCs were washed on the plate in cold 1× PBS, lysed in
RIPA buffer (Millipore) supplemented with protease and phosphatase
inhibitors (Roche), and collected by scraping. Cells were lysed
for 15 min on ice and then centrifuged to collect the supernatant.
Co-immunoprecipitation was performed as previously described53
with the modification where protein-A/G-conjugated magnetic beads
(Pierce) were used to bind antibodies instead, and proteins were eluted
from beads with 1× NuPAGE LDS Sample Buffer (Invitrogen) with 2.5%
2-mercaptoethanol at 70 °C for 10 min. Protein concentration was deter-
mined by BCA Assay (Pierce) against a bovine serum albumin standard
curve. Then 15 μg protein of each sample was run on NuPAGE 4–12%
Bis-Tris Gels (Invitrogen) for 2 h at 110 V in NuPAGE MOPS SDS Running
Buffer (Invitrogen). Protein was transferred onto nitrocellulose mem-
brane (Cytiva) in NuPAGE Transfer Buffer (Invitrogen) at 15 V overnight at
4 °C. Given the marked differences in expected sizes of some of the pro-
teins, overlapping host species of the antibodies raised, and the paucity
of primary cell lysates for immunoprecipitates, we often cut the blots
on the basis of size and performed immunoblotting on each piece
with different antibodies. Membranes were then treated with blocking
buffer with 5% non-fat dry milk and 0.1% Tween-20 in TBS for 1 h at room
temperature before incubating with primary antibodies. The following
primary antibodies were diluted in blocking buffer: MYC-tag (mouse,
1:1,000, Cell Signaling), MLL4 (mouse, 1:200, Santa Cruz Biotechnol-
ogy), cJUN (rabbit, 1:1,000, Cell Signaling), ARID1a (rabbit, 1:1,000,
Abcam) and β-actin (mouse, 1:10,000, Cell Signaling). The membranes
were incubated in primary antibodies overnight at 4 °C. Membranes
were then washed three times in 0.1% Tween-20 in TBS before incubating
with HRP secondary (1:10,000) antibody for 1 h at room temperature.
After secondary antibody incubation, membranes were then washed
four times in 0.1% Tween-20 in TBS and incubated in ECL Prime reagents
(Cytiva) for 5 min before chemiluminescence detection. Membranes
were imaged with an GE Amsham AI600 Imager. For clarity, we show the
bands of the correct sizes. However, all full blots (cut before processing
as delineated above) are shown in corresponding source data.
Quantitative PCR
Equal amounts of RNA extracted from cultured cells were collected
with AllPrep DNA/RNA Kits (Qiagen) and reverse transcribed using the
Nature Cell Biology
superscript VILO cDNA synthesis kit (Invitrogen). For quantitative PCR,
biological replicates represent the average of three technical replicates
per individual sample. Complementary DNAs from each sample were
normalized using primers against Rps16. All primers used are provided
in Supplementary Table 4.
Bioinformatic analyses
GSEA. For comparing with both hair placodes and BCC, TPM matrices
in D0, W2 and W12 were used as GSEA (v. 4.1.0) input. The DEG lists as
illustrated in Fig. 1d were used as gene set inputs. For the BCC sample,
DEG list of genes with P < 0.05 was curated from GSE152487 in the Gene
Expression Omnibus depository17. GSEA was run with default settings,
without collapsing, and with the gene set as the permutation type. The
leading-edge analysis function was used to determine the significance
of gene set enrichment.
Heat maps and box plots. All heat maps showing sequencing sig-
nals over binding sites are generated with Deeptools from RIP- or
RPKM-normalized bigwig files. Profileplyr (v. 1.4.3) was used to gen-
erate ATAC, H3K4me1, H3K27ac and MLL3/4 CNR box plots in R with
matrix output from Deeptools compute-matrix as input. The histone
H3 profile plot was also generated with Profileplyr in R.
GO analysis. We performed GO analysis of each ATAC-seq cluster by
associating each region with genes and performing enrichment analysis
using Genomic Regions Enrichment of Annotation Tool (GREAT, ver-
sion 3)54 with default gene association settings and the whole mouse
genome (GRCm38/mm10) as the background.
Transcription factor motif and footprint analyses. For motif enrich-
ment analysis on peak sets, HOMER55 (v. 4.10) findMotifGenome.pl
was used with a customized motif database from JASPAR2018 (ref. 56).
The motif input for HOMER was generated from the 79 clusters of
JASPAR2018 vertebrates CORE central transcription factor motifs
using 80% of the maximum log-odds expectation for each motif as
the detection threshold for HOMER. To identify cluster-specific motif
enrichment in our ATAC-seq clusters we ran HOMER for each cluster
using the union set of dynamic peaks as our background (-bg) set with
the options -size given –h. The resulting heat map was generated by
combining the significant (P < 0.05) motifs for each cluster and plotting
the associated P value. For motif distance measuring, we overlapped
SOX9-bound opening peaks with known AP1 and SOX motifs curated by
HOMER (mm10-191020) and measured the distance from SOX motifs
to the closest AP1 motifs with Bedtools. For footprint analysis, we
used HINT-ATAC57 with our 79 motif clusters as the input as well. For
transcription factor motif variability score analysis, we ran ChromVAR31
(1.18.0) on the dynamic peaks for differential chromatin accessibility
across our 79 motif clusters to find the top variable motifs in dynamic
peaks. We further used ChromVAR to calculate the motif deviation
scores over time at the top variable motifs.
Illustrations. Schematics were prepared using BioRender and Adobe
Illustrator (v. 26.0.1).
Statistics and reproducibility. No statistical methods were used
to pre-determine sample sizes, but our sample sizes are similar to
those reported in previous publications14,16,46. No data points were
excluded. Upon collection, mice with the same genetic background
were randomly allocated to genomic or immunofluorescence experi-
ments. Data collection and analysis were not performed blind to the
conditions of the experiments as the mice appears phenotypical
after SOX9 induction. All immunofluorescence experiments were
repeated three times with samples collected from different mice. All
co-immunoprecipitation and immunoblot experiments were repeated
twice with samples collected on different days. The statistics in Fig. 5g
Articlehttps://doi.org/10.1038/s41556-023-01184-yand Extended Data Fig. 1d were analysed with two-tailed t-test on the
GraphPad Prism (9.0). Data distribution was assumed to be normal, but
this was not formally tested. All the error bars are mean ± s.d. *P < 0.05,
**P < 0.01, ***P < 0.001 and ****P < 0.0001.
53. Guzzi, N. et al. Pseudouridine-modified tRNA fragments
repress aberrant protein synthesis and predict leukaemic
progression in myelodysplastic syndrome. Nat. Cell Biol. 24,
299–306 (2022).
Resource availability
Lead contact. Further information and requests for resources and
reagents should be directed to and will be fulfilled by the lead contact,
E.F. (fuchslb@rockefeller.edu).
Materials availability. Will be provided upon request and available
upon publication.
Reporting summary
Further information on research design is available in the Nature Port-
folio Reporting Summary linked to this article.
Data availability
All data that support the findings of this study are available within the
paper and its supplementary files. Sequencing data that support the
findings of this study have been deposited in the Gene Expression Omni-
bus under accession code GSE208072. Previously published RNA-seq
data from BCC, SCC and normal EpdSCs that were re-analysed here are
available under accession code GSE152487. Source data are provided
with this paper. All other data supporting the findings of this study are
available from the corresponding author on reasonable request.
Code availability
All bioinformatic analysis tools and pipelines used in this study are
documented in the method section. Codes are available from the cor-
responding author upon reasonable request.
References
42. Vasioukhin, V., Degenstein, L., Wise, B. & Fuchs, E. The magical
touch: genome targeting in epidermal stem cells induced by
tamoxifen application to mouse skin. Proc. Natl Acad. Sci. USA 96,
8551–8556 (1999).
43. Blanpain, C., Lowry, W. E., Geoghegan, A., Polak, L. & Fuchs, E.
Self-renewal, multipotency, and the existence of two cell populations
within an epithelial stem cell niche. Cell 118, 635–648 (2004).
44. Rheinwald, J. G. & Green, H. Epidermal growth factor and the
multiplication of cultured human epidermal keratinocytes. Nature
265, 421–424 (1977).
45. Smith, J. P. et al. PEPATAC: an optimized pipeline for ATAC-seq
data analysis with serial alignments. NAR Genom. Bioinform. 3,
lqab101 (2021).
46. Larsen, S. B. et al. Establishment, maintenance, and recall of
inflammatory memory. Cell Stem Cell 28, 1758–1774 e1758 (2021).
47. Meers, M. P., Tenenbaum, D. & Henikoff, S. Peak calling by
Sparse Enrichment Analysis for CUT&RUN chromatin profiling.
Epigenetics Chromatin 12, 42 (2019).
48. Stovner, E. B. & Saetrom, P. epic2 efficiently finds diffuse domains
in ChIP–seq data. Bioinformatics 35, 4392–4393 (2019).
49. Kim, D. I. & Roux, K. J. Filling the void: proximity-based labeling of
proteins in living cells. Trends Cell Biol. 26, 804–817 (2016).
50. Rappsilber, J., Mann, M. & Ishihama, Y. Protocol for
micro-purification, enrichment, pre-fractionation and storage of
peptides for proteomics using StageTips. Nat. Protoc. 2,
1896–1906 (2007).
54. McLean, C. Y. et al. GREAT improves functional interpretation of
cis-regulatory regions. Nat. Biotechnol. 28, 495–501 (2010).
55. Heinz, S. et al. Simple combinations of lineage-determining
transcription factors prime cis-regulatory elements required for
macrophage and B cell identities. Mol. Cell 38, 576–589 (2010).
56. Khan, A. et al. JASPAR 2018: update of the open-access database
of transcription factor binding profiles and its web framework.
Nucleic Acids Res. 46, D260–D266 (2018).
57. Li, Z. et al. Identification of transcription factor binding sites using
ATAC-seq. Genome Biol. 20, 45 (2019).
Acknowledgements
We thank M. Nikolova, E. Wong, J. Racelis, T. Omenchenko and
J. Levorse for experimental assistance; M. Parigi, N. Guzzi, M. D.
Abdusselamoglu, S. Yuan, A. Gola, K. Gonzales and C. Cowley
for discussions; S. Mazel, S. Semova, S. Han and S. Shalaby for
conducting FACS sorting; C. Lai (for high-throughput sequencing
and raw data analyses; H. Molina for conducting mass spectrometry.
E.F. is a Howard Hughes Medical Investigator. N.G. was the recipient
of Burroughs Welcome Diversity fellowship (1017355), and an
F32 postdoctoral fellowship from the National Cancer Institute
(5F32CA221353). N.I. was the recipient of an F31 from the National
Institutes of Health (5F31AR073110). M.L. was the recipient CIHR
postdoctoral fellowship. This study was supported by grants
to E.F. from the National Institutes of Health (R01-AR31737 and
R01-AR050452).
Author contributions
Y.Y., N.G. and E.F. conceptualized the study, designed the
experiments, interpreted the data and wrote the manuscript. Y.Y.
and N.G. performed and analysed in vivo high throughput data.
M.L. assisted with proteomic experiments. R.C.A. generated the
SOX9-inducible transgenic mice. Y.Y. performed in vitro studies with
help from I.B., immunofluorescence microscopy and quantifications.
M.S. participated in SOX9 mouse experiments and tumour cell
engraftments. N.I. participated in high-throughput data generation,
immunofluorescence microscopy and quantifications. All authors
provided input on the final manuscript.
Competing interests
The authors declare no competing financial interests in this research,
but E.F. was on the Scientific Advisory Boards of L’Oreal and Arsenal
Biosciences during a period while these studies were ongoing.
Additional information
Extended data is available for this paper at
https://doi.org/10.1038/s41556-023-01184-y.
Supplementary information The online version
contains supplementary material available at
https://doi.org/10.1038/s41556-023-01184-y.
Correspondence and requests for materials should be addressed to
Elaine Fuchs.
51. Kall, L., Canterbury, J. D., Weston, J., Noble, W. S. & MacCoss, M. J.
Semi-supervised learning for peptide identification from shotgun
proteomics datasets. Nat. Methods 4, 923–925 (2007).
Peer review information Nature Cell Biology thanks Yali Dou, Anthony
Oro and the other, anonymous, reviewer(s) for their contribution to the
peer review of this work.
52. Beronja, S., Livshits, G., Williams, S. & Fuchs, E. Rapid functional
dissection of genetic fetworks via tissue specific transduction and
RNAi in mouse embryos. Nat. Med. 16, 821–827 (2010).
Reprints and permissions information is available at
www.nature.com/reprints.
Nature Cell Biology
Articlehttps://doi.org/10.1038/s41556-023-01184-yExtended Data Fig. 1 | See next page for caption.
Nature Cell Biology
Articlehttps://doi.org/10.1038/s41556-023-01184-yExtended Data Fig. 1 | Ectopic reactivation of SOX9 in adult EpdSCs silences
epidermal fate and activates hair follicle fate within 2W and then progresses
to BCC-like lesions. a, Schematic of the TRE-Sox9 construct for generating
SOX9-inducible transgenic mice. b, Immunofluorescence showing myc-tag
staining at D0 and W12 SOX9-induction. This validates myc-tag expression
is only induced and specifically induced in EpdSCs. All scale bars are 50μm.
c, Immunofluorescence comparing SOX9 expression in the normal anagen
ORS (containing activated HFSCs) and induced SOX9 expression in the adult
EpdSCs. All scale bars are 50μm. d, Quantifications of SOX9 immunofluorescence
intensity in the two states in (b) shows that SOX9 levels in ectopically induced
adult EpdSCs are not higher than in native ORS HFSCs. n = 100 cells measured
over 5 biological replicates. All the error bars are mean ± SD. Statistical
significance from two-tailed t-test is denoted by ****(p < 0.0001). e, (left) KRT14
and KRT10 immunofluorescence of the skin after SOX9-induction in EpdSCs.
Note that the KRT14 skin progenitor is markedly expanded over time. All scale
bars are 50μm. (right) Quantification of the thickness of KRT14 and KRT10
layers over time. n = 5 biological replicates with 2 measurement per sample.
Boxplots are centered at median and bound by 1st and the 3rd quartile, and
whiskers extend to 1.5 times IQR on both ends. The solid dots are data points,
and the empty circles are outliers beyond 1.5 times IQR. f, (top) cell proliferation
as assessed by EdU immunofluorescence after SOX9-induction. All scale bars
are 50μm. (bottom left) quantification of % proliferating cells in the basal layer
of EpdSCs. g, (left) Immunostaining of human BCC samples from The Human
Protein Atlas. SOX9 and EpCAM show strong staining in the body of the lesion,
whereas KRT6A is restricted to the apical epidermis. (right) Immunofluorescence
images show the lesions in 12-week samples have similar EpCAM and KRT6
staining pattern as human BCC. Dotted lines denote the dermo-epidermal
border. All scale bars are 50μm.
Nature Cell Biology
Articlehttps://doi.org/10.1038/s41556-023-01184-yExtended Data Fig. 2 | Quality control for transcriptome analysis and
temporal comparisons between SOX9-induced transcriptome analyses
and cutaneous cancers. a, FACS gating strategies for isolating EpdSCs.
DAPI-negative singlets were first gated on ITGA6 (epithelial progenitors)
and immune cell, fibroblast/adipocyte, endothelial and melanocyte lineage
markers (CD45, CD140a, CD31 and CD117). Lineage-negative and ITGA6+ cells
were further gated on CD34 and Ly6A/E (SCA-1) to distinguish HFSCs and
EpdSCs, respectively. b, Replicate correlation analyses of RNA-seq show strong
correlation (r > 0.94) between samples across time points. c, At W2 following
SOX9 induction, similarities to BCC were already apparent (K-S test, p < 0.001).
By contrast, a negative correlation to SCC was observed (K-S test, p < 0.001).
d, In comparing all BCC genes to our W6 and W2 data, the shift towards a BCC
signature continued to rise, concomitant with the phenotypic changes described
in Fig. 1 (K-S test, p = 0.014).
Nature Cell Biology
Articlehttps://doi.org/10.1038/s41556-023-01184-yExtended Data Fig. 3 | See next page for caption.
Nature Cell Biology
Articlehttps://doi.org/10.1038/s41556-023-01184-yExtended Data Fig. 3 | Analyses and dynamics of ATAC-seq and Cut-and-Run
and peak distributions. a, Replicate correlation analyses of SOX9 Cut-and-
Run show strong correlation between duplicate samples at each time point.
b, HOMER motif analysis shows that SOX(HMG) motifs are strongly enriched
in SOX9 CNR peaks in W1 to W12 samples. c, ATAC-seq samples show clear
nucleosome patterning and TSS enrichment. d, Total histone H3 signals are
mutually exclusive from ATAC signals at D0 and W2 time points. e, Distribution
of dynamic and static peaks at different genomic features. Dynamic peaks are
more enriched in intronic and intergenic regions, while static peaks are more
enriched at promoters. f, ChromVAR analysis of motif deviation scores of SOX
(blue), AP1/FOS/JUN (red), RUNX (purple), GATA (green), and TBX (brown) motifs
at indicated time points. Note that SOX motif accessibility rises markedly in
dynamic peaks that open within the first two weeks post SOX9 induction while
GATA motif accessibility declines. AP1 and RUNX motif accessibility rise between
W2 and W6. TBX motif is shown as a control which does not change accessibility
overtime. g, HINT-ATAC footprint analysis shows how transcription factor (TF)
motif footprints differ in activity score at indicated time points compared to D0.
Motifs indicated with red dot show significant changes in activity score over D0.
Nature Cell Biology
Articlehttps://doi.org/10.1038/s41556-023-01184-yExtended Data Fig. 4 | MINT-ChIP experiments and analyses of H3K4me1
relative to SOX9 binding. a, Replicate correlation analyses of the H3K4me1 and
H3K27ac MINT-ChIP show strong correlation between each duplicate sample
across all time points. b, Boxplot of H3K27ac signals at opening SOX9 peaks
overtime. Note that the signal increases gradually from W1 to W12. n = 2 biological
replicates. Boxplot is centered at median and bound by 1st and the 3rd quartile,
and whiskers extend to 1.5 times IQR on both ends. c, Profile plot (top) and
heatmap (bottom) showing the H3K4me1 signals at all SOX9 Cut-and-Run peaks
across time points. Note the strong flanking pattern of the H3K4me1 signals
adjacent to each SOX9 binding site (center dip) from W1 to W12. d, Boxplot of
H3K4me1 domain sizes at opening SOX9 peaks and SOX9 bound static peaks
shows gradual increase of H3K4me1 domain size from W1 to W2 after SOX9
induction. n = 2 biological replicates. Boxplots are centered at median and bound
by 1st and the 3rd quartile, and whiskers extend to 1.5 times IQR on both ends.
Nature Cell Biology
Articlehttps://doi.org/10.1038/s41556-023-01184-yExtended Data Fig. 5 | BioID experiments and identification of SOX9
co-factors. a, Immunofluorescence validation of Krt14rtTA primary
keratinocytes transduced with TRE-HA-SOX9-BioID2; H2B-RFP (left) or TRE-GFP-
NLS-BioID2; H2B-RFP (right). Transgenes were induced with doxycycline and
immunolabeled for HA (left) or GFP (right). All scale bars are 50μm. b, Correlation
plots of Label Free Quantification (LFQ) values identified by BioID experiments
across replicates and samples. SOX9-BioID and GFP-NLS-BioID samples
share stronger correlations between replicates than each other. Blue number
represents r2 value. c, PCA analysis of GFP and SOX9 BioID protein interactors
demonstrate sample-specific clusters. d, Histogram of LFQ intensity values for
the GFP (left) and SOX (right) BioID replicates. e, Molecular function enrichment
of proteins specifically interacting with SOX9. f, Gene ontology enrichment of
proteins specific to SOX9 (binomial is used to calculate the significance). g, Two
Mll4 null keratinocyte cell lines (Krt14rtTA; TRE-mycSox9) were generated with
CRIPSR/Cas9 with 99.9% indel frequency. These lines validated the efficacy of the
MLL4 antibody by immunoblot, which detected a ~500 kDa protein in the control
but not the knockout (KO) cell lines. MW, molecular weight. h, Immunoblot
showing that the ~500 kDa protein, identified in (g) as MLL4, is pulled down
with mycSOX9 in an anti-myc tag antibody immunoprecipitation. See also in
associated source data.
Nature Cell Biology
Articlehttps://doi.org/10.1038/s41556-023-01184-yExtended Data Fig. 6 | Epidermal TFs diminish rapidly upon SOX9 induction
in EpdSCs. a, Upset plot shows % of peaks bound by SOX9 in the top peak sets
from Fig. 2d. Note that peaks opened by W2 are more often bound by SOX9 than
later opening or closing peaks. b, GO terms enriched in SOX9-bound opening
peaks (C2, C4, C5) and all closing peaks (C1,C6). c, ATAC footprint analysis at D0
and W2 shows a decrease in chromatin accessibility at GATA footprint in dynamic
ATAC peaks following SOX9 induction. d, EpdSCs expression of TFs that belong to
TF families whose motifs are enriched in closing ATAC peaks (C1 and C6 in Fig. 3c)
(binomial is used to calculate the significance). e, (top) Transcript levels of Gata3
over time following SOX9 induction. (bottom) GATA3 immunofluorescence of
epidermis at D0, W6 and W12. Scale bars, 50μm. f, Integrative Genomics Viewer
(IGV) snapshot of SOX9, ATAC and H3K4me1 tracks within the Gata3 locus. The
red box indicates a peak >30kb downstream from the gene that is bound by SOX9
and MLL3/4, and stays open at W2 even though the gene body of Gata3 closes its
chromatin (see Fig. 5b).
Nature Cell Biology
Articlehttps://doi.org/10.1038/s41556-023-01184-yExtended Data Fig. 7 | See next page for caption.
Nature Cell Biology
Articlehttps://doi.org/10.1038/s41556-023-01184-yExtended Data Fig. 7 | Truncated SOX9 displays impaired DNA binding or
co-factor recruitment. a, (top) Venn diagram reveals almost no overlap
between ATAC peaks (C2,C4,C5) that mostly open between W2-W12 and D0
MLL3/4 Cut-and-Run peaks. (bottom) Venn diagram shows substantial overlap
between ATAC peaks (C1,C6) that mostly close between W1-W2 and D0 MLL3/4
Cut-and-Run peaks. b, Schematic illustrating constructs engineered to express
WT SOX9 and two variants of SOX9. c, Immunofluorescence reveals similar
intensities of WT and mutant SOX9 in induced EpdSCs. Scale bars, 100μm.
d, Immunoblot validating the sizes of different versions of SOX9. MW, molecular
weight. e, Immunoblot showing that the transactivating (TA) domain of SOX9 is
sufficient in binding MLL4. f, Venn diagrams show that the peak sets closed by
WT and ΔHMG-SOX9 are comparable in size. g, (top) Top 5 biological process
gene ontologies of genes associated with SOX9-bound opening peaks upon WT
SOX9 induction in vitro from GREAT. (bottom) Top 5 biological process gene
ontologies of genes associated with peaks opened upon ΔHMG SOX9 induction
in vitro from GREAT. Binomial is used to calculate the significance. h, Distribution
of the distance between a SOX motif and its closest AP1 motif in the SOX9 bound
opening peaks. Note that the x-axis is binned by multiplies of one nucleosome
size (147bp). The cumulation plot of the distribution is shown in orange on the
secondary y-axis. i, Immunoblot showing that both WT-SOX9 and ΔHMG-SOX9
are capable of binding c-JUN and ARID1a. j, Immunoblot validating ARID1a can
be induced 3x higher in the SOX9 expressing keratinocytes. For full blots, see
associated source data.
Nature Cell Biology
Articlehttps://doi.org/10.1038/s41556-023-01184-y
| null |
10.1371_journal.pcbi.1011795.pdf
| null |
Computational code is available at https://github.com/kieran12lamb/ SARS-CoV2_Mutational_Signatures GISAID data accessions are available at doi.org/10.55876/gis8 .
|
RESEARCH ARTICLE
Mutational signature dynamics indicate SARS-
CoV-2’s evolutionary capacity is driven by host
antiviral molecules
Kieran D. LambID
T. Phan3,4, Matthew Cotten1,3,4,5, Ke YuanID
1,2☯, Martha M. Luka1,2☯, Megan Saathoff1, Richard J. Orton1, My V.
2,6,7*, David L. RobertsonID
1*
a1111111111
a1111111111
a1111111111
a1111111111
a1111111111
1 Medical Research Council - University of Glasgow Centre for Virus Research, School of Infection and
Immunity, Glasgow, Scotland, United Kingdom, 2 School of Computing Science, University of Glasgow,
Glasgow, Scotland, United Kingdom, 3 Medical Research Council/Uganda Virus Research Institute and
London School of Hygiene & Tropical Medicine Uganda Research Unit, Entebbe, Uganda, 4 College of Health
Solutions, Arizona State University, Phoenix, Arizona, United States of America, 5 Complex Adaptive
Systems Initiative, Arizona State University, Scottsdale, Arizona, United States of America, 6 School of
Cancer Sciences, University of Glasgow, Glasgow, Scotland, United Kingdom, 7 Cancer Research UK
Scotland Institute, Glasgow, Scotland, United Kingdom
☯ These authors contributed equally to this work.
* Ke.Yuan@glasgow.ac.uk (KY); David.L.Robertson@glasgow.ac.uk (DLR)
OPEN ACCESS
Citation: Lamb KD, Luka MM, Saathoff M, Orton
RJ, Phan MVT, Cotten M, et al. (2024) Mutational
signature dynamics indicate SARS-CoV-2’s
evolutionary capacity is driven by host antiviral
molecules. PLoS Comput Biol 20(1): e1011795.
https://doi.org/10.1371/journal.pcbi.1011795
Editor: Roger Dimitri Kouyos, University of Zurich,
SWITZERLAND
Received: July 12, 2023
Accepted: January 3, 2024
Published: January 25, 2024
Peer Review History: PLOS recognizes the
benefits of transparency in the peer review
process; therefore, we enable the publication of
all of the content of peer review and author
responses alongside final, published articles. The
editorial history of this article is available here:
https://doi.org/10.1371/journal.pcbi.1011795
Copyright: © 2024 Lamb et al. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
Data Availability Statement: Computational code
is available at https://github.com/kieran12lamb/
SARS-CoV2_Mutational_Signatures GISAID data
accessions are available at doi.org/10.55876/gis8.
Abstract
The COVID-19 pandemic has been characterised by sequential variant-specific waves
shaped by viral, individual human and population factors. SARS-CoV-2 variants are defined
by their unique combinations of mutations and there has been a clear adaptation to more
efficient human infection since the emergence of this new human coronavirus in late 2019.
Here, we use machine learning models to identify shared signatures, i.e., common underly-
ing mutational processes and link these to the subset of mutations that define the variants of
concern (VOCs). First, we examined the global SARS-CoV-2 genomes and associated
metadata to determine how viral properties and public health measures have influenced the
magnitude of waves, as measured by the number of infection cases, in different geographic
locations using regression models. This analysis showed that, as expected, both public
health measures and virus properties were associated with the waves of regional SARS-
CoV-2 reported infection numbers and this impact varies geographically. We attribute this to
intrinsic differences such as vaccine coverage, testing and sequencing capacity and the
effectiveness of government stringency. To assess underlying evolutionary change, we
used non-negative matrix factorisation and observed three distinct mutational signatures,
unique in their substitution patterns and exposures from the SARS-CoV-2 genomes. Signa-
tures 1, 2 and 3 were biased to C!T, T!C/A!G and G!T point mutations. We hypothe-
sise assignments of these mutational signatures to the host antiviral molecules APOBEC,
ADAR and ROS respectively. We observe a shift amidst the pandemic in relative mutational
signature activity from predominantly Signature 1 changes to an increasingly high proportion
of changes consistent with Signature 2. This could represent changes in how the virus and
the host immune response interact and indicates how SARS-CoV-2 may continue to gener-
ate variation in the future. Linkage of the detected mutational signatures to the VOC-defining
amino acids substitutions indicates the majority of SARS-CoV-2’s evolutionary capacity is
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PLOS COMPUTATIONAL BIOLOGY221201qs, doi.org/10.55876/gis8.230406qg and
doi.org/10.55876/gis8.230406fb.
likely to be associated with the action of host antiviral molecules rather than virus replication
errors.
Mutational processes and SARS-CoV-2’s evolutionary capacity
Funding: The authors acknowledge funding from
the Medical Research Council (MRC,
MC_UU_12014/12 to DLR, MC_UU_00034/5 to
DLR and a Doctoral Training Programme in
Precision Medicine studentship for KDL, MR/
N013166/1 to KY and DLR), the Wellcome Trust
(220977/Z/20/Z to MC, KY, DLR), the UK
Department for International Development (DFID)
under the MRC/DFID Concordat agreement
(MC_PC_20010 to MC), Engineering and Physical
Sciences Research Council (EPSRC, EP/R018634/
1 to KY), and the European Union’s Horizon 2020
research and innovation programme project
PANCAIM (101016851 to KY). The funders had no
role in study design, data collection and analysis,
decision to publish, or preparation of the
manuscript.
Competing interests: The authors have declared
that no competing interests exist.
Author summary
We show that both public health measures and virus properties are associated with the
rise and fall of regional SARS-CoV-2 reported infection numbers with regional differences
attributable to the extent of vaccine usage and the effectiveness of public health measures.
In our mutational signature analysis, using non-negative matrix factorisation, we detected
three distinct mutational signatures that can be putatively attributed to the action of spe-
cific host antiviral molecules. Interestingly, we observe a shift in mutational signature
activity from predominantly Signature 1 changes to an increasingly high proportion of
changes consistent with Signature 2. These mutation patterns influence SARS-CoV-2’s
evolutionary capacity, the available genetic variation that selection can act on, and so can
be linked to the mutations defining the variants of concern responsible for the distinct
SARS-CoV-2 infection waves. The dominant types of nucleotide substitutions involved
indicate that much of the mutation and hence variation come from the action of the host
immune response rather than replication errors since the virus has an error correction
system.
Introduction
The COVID-19 pandemic began in late 2019 following a zoonotic spillover event of a SARS-
related coronavirus, subsequently named SARS-CoV-2, in Wuhan, China [1, 2]. The extensive
and rapid global spread of this new human coronavirus and its detrimental impact on human
health has rendered it among the most significant pandemics in recent history [3]. Different
geographical regions of the world have reported varied infection patterns that are attributed to
differences in population demographics and health care systems, diverse government
responses [4, 5], the emergence of more transmissible variants [6, 7] and other viral, human
and population factors. Since its emergence, SARS-CoV-2 has undergone significant genetic
change such that numerous variants, i.e., distinct genotypes, have been identified [8], many
with altered phenotypic properties [9].
The World Health Organization (WHO) and other public health bodies have broadly classi-
fied variants that pose an increased risk to global public health (due to increased transmissibil-
ity, increased virulence or decrease in the effectiveness of public health measures relative to
2019/early 2020 SARS-CoV-2 variants) as variants of concern (VOCs) and variants of interest
(VOIs) [10]. The early SARS-CoV-2 variants to emerge in 2019 and the more transmissible
+S:D614G variant followed by the VOCs (Alpha, Beta, Gamma, Delta and currently Omicron)
have driven significant and sequential “waves” of SARS-CoV-2 infections internationally. The
emergence of each variant showing a clear geographical link [11–13].
Viral mutations arise from a diverse set of processes (principally viral polymerase replica-
tion errors and host anti-viral editing processes), which can be identified by the characteristic
mutational signatures that they leave on the genome [14, 15]. Such characterisation of domi-
nant mutational processes is routinely used in cancer genomics [16]. The catalogue of SARS-
CoV-2 nucleotide changes show distinct mutational patterns suggestive of a role for host
antiviral mutational processes in introducing changes in the viral RNA [17, 18]. These
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PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
processes potentially dominate in SARS-CoV-2 evolution because point mutations introduced
in replication are mostly corrected by the action of a proofreading enzyme.
The generation of virus diversity, the key to virus persistence by generating novel variation
and thus evolutionary capacity, is multi-faceted [19], yet our understanding of the relative
importance of underlying mutational processes linked to the action of host anti-viral mole-
cules is still very limited. Given that SARS-CoV-2 continues to develop new variants, many
associated with sets of previously observed (convergent) and novel mutations [9], it is critical
that we improve our understanding of the mechanisms and sources of evolutionary change.
Along with routine surveillance of SARS-CoV-2 infections, there has been an unprece-
dented global sequencing effort resulting in databases containing many millions of genome
sequences, in particular GISAID [20]. Here we examined this data to describe the global
molecular epidemiology and evolution of SARS-CoV-2. Using regression models we first
examined how viral properties and public health measures have influenced the magnitude of
infection waves in different geographic locations. Satisfied that SARS-CoV-2 variants have
been an important driver of infections we then used non-negative matrix factorisation to char-
acterise the mutational processes involved in the generation of variants and their changing pat-
terns of activity over time.
Results
Characterising the SARS-CoV-2 waves regionally
This first part of the study reports on global SARS-CoV-2 data from 24/12/2019 to 28/01/
2022 only as limited public health measures were in place after this time. We observed 1,544
distinct SARS-CoV-2 lineages from 7,348,178 sequences. 88% of the infections in the global
pandemic during this time frame were caused by a subset of 13 Pango and WHO variants
(S1 Table). While there are geographical differences there is a clear dominance of a subset of
variants and replacement of these through time (Fig 1). This “wave” infection pattern was
evident in all geographic locations. Although biased by testing rates, Europe and the Ameri-
cas had the highest infection rates, reporting up to 450 cases per million population per day
(Fig 1). The emergence or introduction of VOCs coincided with a steep increase in infection
rates globally. For example, cases in Asia showed a steep rise in February 2021, which peaked
in May 2021 (Fig 1, panel Asia). During this period, Alpha and Delta comprised greater than
75% of the SARS-CoV-2 cases identified in the sequence data. Africa and Oceania on the
other hand displayed overall sustained low case numbers. Despite this, Beta dominated the
second wave in parts of Africa while Alpha dominated the third Oceanic wave. After its
emergence in March 2021, Delta spread to become the predominant variant across all conti-
nents. The Omicron variant of concern was first identified in South Africa in late November
2021 and, by January 2022, it had rapidly become the predominant cause of infections world-
wide (Fig 1).
Covariates of the waves
We investigated the degree to which public health measures and viral properties explain conti-
nent-specific reported cases of infection. Correlation analysis at the global level showed a sig-
nificant correlation between infection rates and the predictor variables: government
stringency, vaccination, previous infection burden, virus diversity and fitness (S2 Table).
Regression analysis revealed that the impact of the predictor variables on the magnitude of
reported cases were found across all continents. We classified significance levels as follows: no
significance for p-values greater than 0.05, weak significance for p-values between 0.05 and
0.001, and high significance for p-values less than 0.001. Our findings indicated that
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PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
Fig 1. Continent-level SARS-CoV-2 lineage dynamics and pandemic curves. Lines show a 14-day rolling average of reported SARS-CoV-2 cases.
Bars show the biweekly proportions of common lineages and are coloured by lineage. The white space shows the proportion of sequences from
other (non-majority) lineages.
https://doi.org/10.1371/journal.pcbi.1011795.g001
government stringency had a weakly significant impact in Asia, Europe, and South America,
but a strongly significant impact in Africa, Oceania, and North America. Virus fitness, previ-
ous infection burden, and vaccination demonstrated a strongly significant impact across all
continents. Virus diversity was strongly correlated with high infection numbers in Europe and
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PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
North America, with a weaker association in Africa, Asia, Oceania, and South America. The R
squared values, indicating the proportion of variance explained by our model, were greater
than 0.5 for all continents, ranging from 0.66 in Oceania to 0.79 in Africa (S3 Table). Gener-
ally, our predictions closely resembled the rise and fall of SARS-CoV-2 infection case numbers
(Fig 2).
For country-level analysis, we included 29 countries from six continents based on the com-
pleteness of data (availability of sequence data in every 14 day bin). Pandemic plots were visu-
alised using biweekly bins and multiple linear regression was fitted using the same approach.
Different countries had varying lineage dynamics as illustrated in S1 Fig. The five predictor
variables had varying impacts on infection rates across countries (S2 Fig). Despite some differ-
ences related to the population level processes investigated here, there is a clear variant replace-
ment process taking place. As the generation of novel variants is fundamentally a mutation
dependent process we next investigated the underlying patterns of mutations being generated
through time. The goodness of fit varied among countries, with the R squared varying from
0.28 (Japan) to 0.96 (Australia), with a median of 0.69 (S4 Table). Though our model success-
fully captured the general infection wave patterns in many countries, it struggled to capture
short-term data spikes in specific instances, such as in Belgium (November 2020), India (May
2021), Indonesia (August 2021) and Japan (September 2021) (S2 Fig).
Fig 2. Association of SARS-CoV-2 infection rates and predictor variables globally. A. Pearson’s correlation matrix of infection rate and predictor
variables. Positive correlations are denoted in orange and negative correlations in blue and colour intensity is directly proportional to coefficient value.
B. Model fitting using multiple linear regression. Black solid lines show a 14-day rolling average of adjusted SARS-CoV-2 cases. Pink solid lines show
fitted mean response values of infection rates with predictor values as input.
https://doi.org/10.1371/journal.pcbi.1011795.g002
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PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
Identifying putative mutational processes contributing to changes in
SARS-CoV-2
New variants of concern have displaced viral lineages that were previously dominant in the
population in different geographical regions and in some cases globally (Fig 1). This behaviour
has been observed with the original variants of concern (Alpha, Beta and Gamma) and then
globally with the Delta and Omicron lineages. We investigated whether these variant wave
events (periods of time where infections are dominated by a single variant) were linked to the
activity of specific mutational processes. Each of the variants of interest/concern has evolved
independently such that detecting the patterns of mutations in the SARS-CoV-2 sequence data
allows us to observe which processes are most active and could be contributing to the emer-
gence of variants.
Mutations were called using inferred references for each of the Pango lineages, which we
call tree-based referencing (S3 Fig). The SARS-CoV-2 alignment of 13,278,844 sequences up to
26/10/2022 was used. Of these 13 million sequences 2,195,182 sequences were selected as they
contained 5,726,144 newly arisen mutations. Cytosine to thymine mutations (C!T) were the
most common and were the primary substitution category for most weeks where sequences
were recorded. Note, SARS-CoV-2 has an RNA genome but we refer to uracil as a thymine to
match pre-existing DNA mutational signature notations.
Three signatures were identified with distinct substitution patterns using non-negative
matrix factorisation (NMF) (Fig 3 and S5 Fig). Signature 1 is heavily biased towards C!T
mutations. Signature 1 had a high probability of ACA, ACT and TCT contexts (adjacent nucle-
otides in the 5’ and 3’ direction of the mutated site), consistent with what was earlier reported
by Simmonds et al. [17] as highly mutated contexts for C!T substitutions in SARS-CoV-2.
Signature 2 is predominantly adenine to guanine (A!G), guanine to adenine (G!A) and thy-
mine to cytosine (T!C) mutations. The proportion of A!G and T!C mutations is approxi-
mately equal in this signature, which is indicative of a double-stranded mutational process.
SARS-CoV-2 mutations at adenine positions on the negative strand will be counted as thymine
mutations due to the negative strand being used to replicate positive sense RNA, with the
mutated A!G now pairing with a cytosine on the +sense RNA and replacing the original thy-
mine [21, 22]. Signature 3 is predominantly composed of guanine to thymine (G!T)
substitutions.
The dynamics of mutational processes through the pandemic
By using the available SARS-CoV-2 sequences we can measure the mutational signature activ-
ity across time as long as our samples are aggregated using time series annotations. Signature
exposures (Fig 4) show that Signature 1 remained the most prominent signature throughout
the pandemic, although following the emergence of Signature 2 its activity reduced propor-
tionally. Absolute exposure values (Fig 4B) show that Signature 1 does not appear to reduce its
exposure, rather Signature 2 increases its exposure. Signature 2 establishes itself as a substantial
signature after December 2020. It continues to expand after October 2021, just prior to the
emergence of the Delta VOC. Signature 3 is by far the least active of the three signatures but
remains consistent until after January-February 2022 when it begins to drop towards zero.
This is around the time Omicron began to emerge as the dominant VOC.
Combined signature activity reached a peak between July and October 2021 (Fig 4B) coin-
ciding with the peak number of unique mutations (Fig 5A and 5B). This is around the time the
mutational signature dynamics appear to be shifting, with Signature 2 contributing more
unique mutations. We can see that this also coincides with the Delta VOC wave, which,
between May 2021 and January 2022, was the lineage group showing the greatest number of
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PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
Fig 3. Mutational signatures extracted from the SARS-CoV-2 genome sequences by non-negative matrix factorisation. Signatures are patterns of probabilities for
each category of substitution in a three nucleotide context. Each bar represents a context and is coloured by the substitution category of the mutation that occurs there.
Each signature may represent a distinct mutational process. Signature 1 is heavily biased towards cytosine to thymine (C!T) mutations, particularly in 3’ CpG
contexts TCG, CCG and ACG. Signature 2 from SARS-CoV-2 is predominantly adenine to guanine (A!G), guanine to adenine (G!A) and thymine to cytosine
mutations (T!C). Signature 3 is strongly guanine to thymine (G!T), a pattern that is thought to be caused by the action of guanine oxidation by reactive oxygen
species. Signatures are shown normalised against the tri-nucleotide composition of the SARS-CoV-2 genome. Non-normalised forms in the context of the SARS-CoV-
2 genome composition are shown in S5 Fig.
https://doi.org/10.1371/journal.pcbi.1011795.g003
newly acquired mutations (Fig 5). Delta was the first VOC to dominate on a global scale, out-
competing other VOCs like Alpha, Beta and Gamma in their regions of circulation. Omicron
similarly repeated this phenomenon, almost entirely replacing Delta globally within weeks of
its emergence (Fig 5B). We also see a marked decrease in the activity of Signature 3 following
Omicron’s establishment as the dominant variant. A similar decrease in G!T mutations was
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PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
Fig 4. Signature exposure plots showing the activities of the extracted mutation signatures over the duration of the COVID-19 pandemic. A.
Shows the percentage activity of the signatures during a given week of the pandemic, with each colour representing a different signature. B. Shows the
signature activities as their absolute values at each epidemic week.
https://doi.org/10.1371/journal.pcbi.1011795.g004
also observed by Bloom et al. [23] and Ruis et al. [24]. This is different to Delta, where there
was an increase in Signature 3 following its emergence. These Signature 3 changes become par-
ticularly apparent when we begin to look at signature activities within variant-defined subsets
of the data.
Signature dynamics spatially and by variant
After observing changes in signature activity during transitions between dominant variants,
we next investigated the differences between signature activities in variant-defined subsets of
the data as well as in continent-defined subsets. We used the globally extracted signatures to
extract exposures from the subsets using a non-negative least squares regression to retain the
non-negativity constraint. This allowed for the measurement of signature activity in each of
the subsets of interest.
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PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
Fig 5. A. Counts of unique SARS-CoV-2 mutations for each epidemic week, with colours representing which continent the mutations came from. B.
Counts of unique mutations per week that are part of the mutational signature substitution-context features (i.e., no indel mutations included). Colours
represent which lineage/group of lineages the mutations belong to. C. Ridgeline plot showing the exposure of mutational signatures in SARS-CoV-2
variant-defined subsets. Exposures are coloured by the signature they have been attributed to. D. Ridgeline plot showing the exposure of mutational
signatures in SARS-CoV-2 continent-defined subsets.
https://doi.org/10.1371/journal.pcbi.1011795.g005
Signature 1 was the most active in almost all the variant-defined subsets as was expected
from the global activity. Signature 3 was most active in the Delta subset as well as during the
Delta wave in the continent-defined subsets (Fig 5). The non-VOC, Beta and Omicron subsets
appear to be the least impacted by Signature 3 with almost zero activity in Omicron. Signature
2 also shows low activity in the non-VOC subset but is very active in the other VOC subsets, in
particular Alpha, where it appears to be the most active, overtaking the Signature 1 process.
Continent-defined subsets of the data also consistently showed the high activity of Signa-
ture 1. Signature 2 begins to consistently appear in all continents after 2020, with only small
bursts of activity being detected before this (Fig 5D), again consistent with what we see in the
global data. Signature 3 activity also follows the pattern of the global activity, appearing most
prominently during the Delta wave.
Bridging the gap between mutation signatures and amino acid
substitutions
Stratifying non-synonymous nucleotide substitutions by their association with mutational sig-
natures should provide insights into how these mutational processes affect viral proteins.
Exposures were calculated by stratifying nucleotide mutations by whether they were synony-
mous or non-synonymous substitutions for each dataset (Fig 6A). The unattributed exposure
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PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
Fig 6. A. Exposures for each of the SARS-CoV-2 mutational signatures for both synonymous and non-synonymous stratified datasets. Synonymous exposures are
below 0 on the y-axis, while non-synonymous exposures are above 0. Each area represents signature exposures across epidemic weeks, with colours representing which
signature the exposures are attributed to. B. Non-synonymous and synonymous mutations in the tree-based references of identified variants of concern. Signature 1
produces the majority of both synonymous and non-synonymous substitutions in all lineages. Signature 3 mutations are more often non-synonymous substitutions in
the lineages of concern, with most lineages having few to no changes. Signature 2 non-synonymous mutations appear to have increased in the Omicron lineages (BA.1
and BA.2). C. Variant of concern associated non-synonymous mutations coloured by the mutational signature with the greatest likelihood of causing the change. D.
Variant of concern synonymous mutations coloured by the putative mutational process that caused the change.
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PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
was calculated using the model error for mutational categories not contained within any of the
extracted mutational signatures. The majority of non-synonymous substitutions can be
described by the observed mutational signatures. Signature 1 likely produces most of the non-
synonymous mutations, however, Signature 3 is an almost exclusively non-synonymous signa-
ture, with particularly high activity during the Delta wave of infections. Signature 2 appears to
produce predominantly synonymous mutations.
Using the tree-based references, we can also look at individual lineage reference sequences
to observe which mutational processes have probably produced their specific amino acid sub-
stitution set. The tree-based references were used since they are equivalent to a high-quality
representative sequence and because many of the early real sequences contain sequencing
errors. For each variant of concern, mutations were assigned to a signature by calculating the
maximum likelihood of the mutation and its context being produced by each of the three
extracted signatures. Using the trinucleotide context C[C ! T]G as an example, the likelihood
function is P(C[C ! T]G j Signature), which corresponds to the probability bars for CT-CCT
in the extracted signatures. Mutations that contained substitution-context pairs not found
within any of the mutational signatures were labeled as “unattributed”.
The Alpha VOC tree-based reference sequence contains eleven Signature 1 changes, six Sig-
nature 2 changes and a single Signature 3 change. Signature 1 changes account for 39% of all
substitutions within the Alpha tree-reference sequence, with 75% of these mutations being
non-synonymous substitutions. Signature 1 was frequently active prior to the Alpha VOC’s
emergence. The activity plots (Fig 4) show that this was the case for much of the pandemic,
particularly prior to the Alpha’s emergence around September 2020. It should be noted that
while Signature 1 mutations are by far the most frequent, only one is found within the Spike
protein (producing the S:T716I change). Signature 3 only had one change, which was non-syn-
onymous appearing in ORF:8. Signature 2 mutations were non-synonymous substitutions
83% of the time, with three Spike mutations relating to the process including S:D614G, which
is present within all known variants of concern.
The Beta VOC emerged around the same time as Alpha (Autumn 2020) and is defined by a
smaller set of mutations. A greater proportion of Signature 1 mutations are non-synonymous
substitutions in Beta (66%). Signature 2 mutations resulted in S:D215G and S:E484K, the latter
reported to help the virus evade neutralising antibodies [25]. Signature 3 mutations most likely
produced S:K417N in spike, which is also reported to aid in antibody evasion [25, 26] similar
to S:E484K.
Gamma also emerged in Autumn 2020 and has 33 different defining substitutions. Signa-
ture 1 mutations account for 11 of these with 54% being non-synonymous. Four are present in
Spike including S:L18F, S:P26S, S:H655Y and S:T1027I. Signature 2 mutations resulted in six
amino acid substitutions, with only 75% of changes being non-synonymous. Three of the five
mutations in non-synonymous substitutions occurred in Spike. Signature 3 mutations in the
Gamma lineage were all non-synonymous except for a single synonymous substitution in
ORF1a/b.
Delta was the first VOC to dominate worldwide and replace almost every other lineage in
all regions. The initial Delta sequence (Pango lineage B.1.617.2) contains six Signature 1 muta-
tions. 66% of these changes were non-synonymous and none occurred within Spike. Signature
2 mutations were all non-synonymous and displaced throughout the virus ORFs including
ORF1a/b, S and M. Signature 3 mutations in Delta are found in non-coding regions and N,
with the N mutations both being non-synonymous.
Omicron is the most recent VOC to emerge, quickly replacing Delta globally. Omicron dif-
fers from earlier VOCs with a much greater number of Spike mutations relative to the other
ORFs. The first identified Omicron variant B.1.1.529 has 40 substitutions of which 32 are non-
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PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
synonymous changes. This is almost double that of Delta, which only had 18. Seven of these
substitutions were Signature 1 changes, two were Signature 3 and ten were Signature 2
changes. There are four non-synonymous ORF1a/b mutations despite this ORF being substan-
tially longer than SARS-CoV-2’s other ORFs. Only one Spike substitution was synonymous
out of the 21 total changes. This number is even greater when looking at the major Omicron
variants BA.1 and BA.2. BA.1 had 31 non-synonymous substitutions in Spike alone while BA.2
had 28. Between these three Omicron variants, only two Spike substitutions are non-synony-
mous out of a total of 40. Nine of the 40 changes are from Signature 1, 2 are from Signature 3
and 12 are from Signature 2. This means 23/40 of the changes appear to come from these three
mutational processes. 20 of the 40 substitutions observed in these variants were present in the
receptor-binding domain (RBD) of Omicron, with nine of these changes thought to help Omi-
cron evade the immune response or increase its transmissibility [27]. Of these beneficial RBD
changes, three are potentially the result of Signature 1 activity, 9 are Signature 2 and one is
from Signature 3. The high density of Signature 2 RBD amino acid changes in a variant that
has emerged as Signature 2 exposure increased suggests that the mutational process behind
Signature 2 may have contributed to the emergence of the Omicron variant.
Signature exposures and highly mutated sequences in wastewater data
Similar trends over time in exposures are seen when the mutational signatures are applied to
publicly available wastewater data. Although the trend is seen at a lower resolution than global
data, Signature 1 and Signature 3 are gradually replaced by Signature 2 (Fig 7A). Although, Sig-
nature 2 is not quite as strong as in the global data (Fig 4). This suggests trends in mutational
processes can be monitored using wastewater, not only sequencing of the infected population.
Additionally, at time periods where a high level of virus diversity is expected, there are highly
mutated sequences present in the wastewater (Fig 7C). This suggests cryptic sequences in
wastewater may be used to observe potential upcoming variants, similar to how known
sequences have been back-traced to particular buildings using wastewater [28].
As chronic SARS-CoV-2 infections are implicated as a major contributor to VOC evolution
[29, 30], it may be possible to parse highly-mutated cryptic sequences of interest from chronic
infections out of wastewater data in the interest of detecting potential VOCs. Unfortunately,
this is problematic to deconvolve as sequencing data for immunocompromised and chroni-
cally infected individuals is sparse. When sequences from known chronic infections are exam-
ined, the distribution of mutation types is consistent with global data, with Signature 1
mutations dominating as expected for samples from January 2022 (Fig 7B). Although, due to
the low number of chronic infections for comparison this result is not very conclusive, it does
demonstrate how mutational patterns can be potentially detected in this type of data. Studying
these types of infections, and underlying mutational processes, will be important to under-
stand better the origins of the sets of mutations that contribute to the generation of VOCs.
Discussion
In this study, we investigated SARS-CoV-2 lineage dynamics and identified temporal variables
that are associated with increased numbers of infection cases. Both public health measures and
virus properties were associated with the sequential waves of regional SARS-CoV-2 infections
cases. These predictors have varying impact in different geographical locations. As more of the
global population’s immune system becomes sensitised to existing SARS-CoV-2 variants,
either through previous infection or vaccination, the virus has and will continue to undergo
changes that enable reinfections. The continued emergence of new variants is thus expected.
In some regions, government stringency had limited significant impact on patterns of
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Fig 7. A. Signature exposures per month from wastewater sequences show similar trends in mutational processes as the global data, although at a lower
resolution and, interestingly, with a lower Signature 2 exposure. B. Substitutions in SARS-CoV-2 consensus sequences from infections of
immunocompromised individuals contain mutation types corresponding with patterns observed in the distinct signatures. Of note, there are more
synonymous mutations present in the chronic infection data than in the global sequences, although it is important to note the sample size for
immunocompromised infections is low. C. Mutation counts in wastewater sequences for bi-yearly time periods. Highly mutated sequences cluster to
the right especially during the 2021 July-December time period, as would be expected when Omicron was emerging.
https://doi.org/10.1371/journal.pcbi.1011795.g007
infection. This could be due to differences in implementation strategies and support, other
competing predictor variables, as well as behavioural changes in citizens as a response to the
restrictions.
Our analysis highlights the significant role of vaccination in influencing reported COVID-
19 case patterns across all continents, even in regions with lower vaccination coverage like
Africa. Despite Africa’s lower vaccination rates, the continent has seen a relatively low-level of
sustained transmission. This phenomenon might be attributed to factors such as the younger
median age of the population, lower population density, immune priming due to prevalent
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infectious diseases, and limited testing capacity [31]. The weak impact of viral diversity on
reported cases in Asia and South America may be explained by the emergence and dominance
of variants such Delta and Gamma in the regions, respectively. For instance, the Delta variant,
initially identified in Asia, quickly became the predominant strain, overshadowing other line-
ages before spreading globally. Overall, the predictor variables significantly contributed to
explaining the rise and fall of infection numbers across different continents, accounting for
more than half of the variance in reported cases. The differences in the regression effectiveness
can be attributed to intrinsic differences among continents, such as variations in vaccine cov-
erage, testing and sequencing capabilities, and the effectiveness of government stringency
measures.
While our model effectively captured the general trends of infection waves, it struggled to
accurately represent peaks within short time-frames in some countries. This discrepancy
might be attributed to the omission of certain predictor variables, like mass gatherings, which
are known to contribute to viral super-spreading events [32].
In utilizing the OWID and OxCGRT datasets, which are arguably among the most compre-
hensive for addressing our research objectives, we note some limitations. First, there were dis-
crepancies in parameter definitions, such as varying case classifications across regions. Second,
positive tests are commonly labeled based on their reporting date rather than “date-of-event”
[33]. Lastly, the cases reported in these datasets may not be fully representative of the actual
disease burden. Although the Human Development Index (HDI) of a country can act as a
proxy to bridge the gap between reported cases and the true disease burden, it does not fully
capture the entire complexity.
The extracted signatures from the global SARS-CoV-2 dataset show clear and distinct pat-
terns describing mutational processes acting on the viral genome. The most prominent of
these signatures, Signature 1 (Fig 3 and S5 Fig), shows a marked bias towards C!T mutations,
a signal indicative of the APOBEC family of cytidine deaminases [17, 18]. APOBEC enzymes
have been shown to cause extensive C!T editing of DNA and RNA in human and viral
genomes. However, it is not yet clear whether they are the cause of this pronounced C!T bias
in SARS-CoV-2 despite a number of other studies also observing other APOBEC-like muta-
tional patterns [34–37]. Cytosines flanked by either an adenine or thymine in both the 3’ and
5’ direction appear to be the most pronounced targets of Signature 1. APOBEC editing was
shown to have contexts outside of the traditional TpC when structural features of the nucleic
acid such as hairpin loops are present [38]. Outside of structural features, APOBEC3A is
thought to be the predominant cause for TpC changes and is found to be expressed in lung tis-
sue [39]. ApC changes are considered to be caused by APOBEC1, which in cell models was
shown to efficiently edit SARS-CoV-2 RNA [39]. APOBEC1 is found predominately in the
liver and small intestine, tissues reported to be infected by SARS-CoV-2 [39, 40]. 3’ CpG nucle-
otide contexts are the most targeted, in particular TCG, CCG and ACG. CpG suppression is a
well-known dinucleotide bias. In RNA viruses, this appears to be a result of selective pressures
exerted from the presence of host CpG sensing molecules such as Zinc-finger Antiviral Protein
(ZAP). ZAP relies on host CpG suppression to allow it to specifically target non-host genomic
material (such as viral RNA) with higher CpG content [41]. This allows viruses with lower
CpG content to better evade restriction by ZAP since it more closely resembles the host CpG
composition. While ZAP does not induce C!T changes, it may help explain why C!T sites
in a CpG 3’ context are preferentially edited relative to other 3’ contexts. ZAP has been shown
to restrict SARS-CoV-2 despite pre-existing CpG depletion [42]. ZAP isoforms have been
shown to prevent necessary translational frame-shifting for SARS-CoV-2 ORF1b protein pro-
duction. [43]. The non-normalised form of Signature 1 (S5 Fig) shows that when tri-nucleotide
bias is not accounted for 3’ CpG’s are lower than the normalised signatures, yet 5’ TpC and
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PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
ApC contexts remain the most prevalent(S5 Fig). The most targeted contexts do shift to ACA,
ACT and TCT, likely reflecting their comparatively high abundance within the SARS-CoV-2
genome relative to 3’CpG contexts. These non-normalised contexts are consistent with what
was earlier reported by Simmonds et al. [17]).
Signature 2 (Fig 3 and S5 Fig) has a nearly identical proportion of A!G and T!C muta-
tions. These are a known target of the ADAR family of adenine deaminases. ADAR enzymes
typically operate on double-stranded RNA and convert adenine into inosine [21, 22]. Inosine
forms base pairs with cytosine, which after another round of replication causes guanine to
replace the inosine and complete the A!G change. As ADAR operates on both strands of
dsRNA, the mutational signature resulting from the process is expected to contain an equal
proportion of A!G and T!C mutations, which is the case for Signature 2 [21]. Signature 2
also contains a number of G!A mutations, which could be caused by low-level C!T activity
on the negative sense RNA strand. Due to the cellular strand biases present between the posi-
tive and negative sense RNA [36], C!T mutational processes acting on ssRNA are much less
likely to produce a mutation on the negative strand (resulting in G!A substitutions) than
C!T changes on the positive strand. The negative strand will only be present during the repli-
cation phase of the virus while the positive strand will be present both on cell entry and on exit
as the new viral particles are packaged to infect further cells. This could explain why the nega-
tive sense Signature 1 changes are present in Signature 2, since it may be operating at a similar
level to Signature 2 on the negative strand. The non-normalised form of Signature 2 (S5 Fig)
does have different targeted contexts, just as with Signature 1. However, the main attribute of
Signature 2 is its equal contributions of A!G and T!C substitutions, which still remain
equal.
Signature 3 (Fig 3 and S5 Fig) is dominated by G!T substitutions. A putative mechanism
for this is Reactive Oxygen Species(ROS) in the cell. Increases in oxidative stress as part of a
ROS ‘burst’ have been associated with viruses during the early stages of infection [34, 44]. Gua-
nine nucleotides are known to be vulnerable to oxidation, with the product 7,8-dihydro-8-oxo-
2’-deoxyguanine (oxoguanine) pairing with adenine bases rather than cytosine [44, 45]. Similar
to inosine causing A!G changes, this change to oxoguanine will result in a G!T mutation
after a replication cycle. The lack of C!A changes in the signature also suggests that the mech-
anism is most active on the positive single-stranded RNA rather than the negative single-
stranded RNA. The initial positive single-stranded RNA is found in the cytoplasm, meaning it
can be easily accessed by ROS and other mechanisms of mutation. Viral replication is thought
to take place within membrane-bound environments that aim to protect the RNA. The pres-
ence of double-stranded RNA within these environments strongly suggests that this is the case
[46] and may explain the relative lack of negative strand mutations in SARS-CoV-2 signatures.
The non-normalised G!T signature (S5 Fig) seems to display a context preference of TpG and
ApG nucleotides, although this contextual bias is changed to CpG and ApG following normali-
sation. These contextual biases mean that the signature could be some other as yet unknown
editing mechanism on the viral RNA, although normalisation changing this context so heavily
suggests that this bias perhaps has more to do with genome composition. The increased CpG
context shift post-normalisation could also be another ZAP-induced effect, where CpG deple-
tion is selected for to help the virus evade ZAP. Curiously, this G!T bias has been observed in
other coronaviruses, but not widely among RNA viruses [47]. ROS has a verified cancer muta-
tional signature [15, 48] although the context preferences do not match the signatures (normal-
ised or non-normalised) observed here. However, there are a multitude of differences between
viral RNA and human DNA that make these signatures difficult to compare.
It is important to note that while SARS-CoV-2 does have an error correction mechanism
resulting in fewer replicase-induced errors, this mechanism will not catch all changes. A
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number of the mutations picked up from the set of sequences (and included in our mutational
signatures) will be derived from replication errors. However, the clear and repeatable extrac-
tion of the signatures indicates that despite this potential contamination, the extracted signa-
tures do appear to be predominantly other mutational processes. While a replication error-
associated mutational signature may be identified in future, this signature is too diffuse to
identify as a distinct process. Similarly, a high proportion of mutations are not accounted for
by the extracted mutational signatures. These mutations were not present in large enough
quantities to enable effective extraction from the data. Future methods may be able to tease out
the more subtle mutational mechanisms that almost certainly exist to induce these less com-
mon mutation types.
Signature activities clearly change in both the global dataset and in the various subsets of
the data for VOCs and continents. In the global data (Fig 4) Signature 1 is dominant through-
out the pandemic. Signature 2 only begins to appear around November 2020, after which it
appears consistently active for the remainder of the pandemic. This is approximately when
variant of concern lineages began to emerge, as well as the beginning of the first vaccine roll-
outs. This is particularly apparent in the Alpha subset where Signature 2 is the most highly
active mutational process (Fig 5), with a large depletion of Signature 1 activity as well.
Alpha was shown to increase sub-genomic RNA expression of several immune-antagonist
viral proteins including nucleocapsid (N), ORF9b and ORF6 [49–52]. N is thought to shield
dsRNA from detection by RNA sensors, which trigger downstream antiviral response path-
ways [49, 52–54]. ORF9b antagonises TOM70, a protein required for the activation of mito-
chondrial antiviral-signalling proteins (MAVS) [49] while ORF6 inhibits the transportation to
the nucleus of inflammatory transcription factors [55]. Combined, the cumulative immune
inhibition may have resulted in an observable change in the mutational processes that we
observe within the Alpha lineage. Beta and Gamma (both VOCs that emerged around the
same time as Alpha) gained amino acid substitutions that helped evade the immune system
primarily via antigenic change. Alpha’s reliance on attenuating immune pathways rather than
antibody binding may be why we see a different signature exposure pattern in this VOC rela-
tive to the others. This could be due to the attenuated pathways being involved in signalling for
the mutational processes behind Signatures 1 and 3, while not inhibiting Signature 2 as much.
This Alpha pattern is not observed in the other VOC datasets, although Delta and Omicron
have a high level of Signature 2 exposure as well, despite Signature 1 remaining the dominant
process in those subsets. Signature 3 appears to be most prominently found in the Delta subset
and remains consistently at low levels in the global data until January 2022 when it appears to
disappear almost entirely. The Omicron subset has little to no exposure for Signature 3 and
this happens to be the VOC almost exclusively circulating after January 2022. Why Omicron
appears to have so little Signature 3 exposure is unclear, although unlike previous VOCs, Omi-
cron differs in its preference of cell entry mechanism. Previous variants of the virus typically
enter the cell using membrane fusion, where the viral membrane fuses with the cell membrane
via the action of ACE-2 receptor binding and TMPRSS2 cleavage of the spike protein. Omi-
cron instead favours an endosomal route of entry whereby the viral particle binds to the cell
using ACE-2 and is enveloped by endocytosis into the cell. Cleavage of the spike protein then
occurs via the action of Cathepsin L, which allows for the release of the viral RNA into the
cytoplasm of the now-infected cell [56, 57].
Signature transitions from Signature 1 to Signature 2 changes occur from December 2020
onwards in the global dataset and appears consistently in the VOC and continent-defined sub-
sets around this time point as well. Alpha underwent a major shift to Signature 2 mutations
early in its time as a VOC, although Signature 1 returned as the predominant set of changes
towards the end of its wave of infections. The non-VOC subset appears to be the least impacted
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PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
by Signature 2 changes. However, this can mostly be explained by the number of non-VOC
sequences quickly declining after the emergence of the VOC lineages. Delta underwent a dra-
matic increase in Signature 2 and Signature 3 exposure from July 2021, with Signature 2
becoming the predominant signature towards the end of Deltas wave. Signature 2 changes
continue into Omicrons introduction, although it does decrease after the initial BA.1 wave
from December 2021 to March 2022. It seems clear that while Signature 1 mutations have
dominated in contributing to the evolutionary capacity of SARS-CoV-2 throughout the pan-
demic, this mutational environment is beginning to change. Such shifts in mutational pro-
cesses are potentially evidence of changing interactions between the viruses and the immune
systems of the hosts they circulate within. For example, changes in population-level immunity
via vaccination or previous infections may influence the mutations that we observe in the data.
Changing mutational process activity in consensus sequences from infections is unlikely to
fully reflect the true activity of each process, but they are likely to show which processes are
contributing mutations that eventually make it into circulating viruses.
All variants of concern we assessed show predominantly non-synonymous mutations and
all mutational signatures are associated with more non-synonymous than synonymous
changes. More synonymous substitutions in the lineage references were found in ORF1a/b,
which is expected due to it being the longest ORF. However, this pattern is not observed with
non-synonymous mutations as these are mainly located in the spike protein (Fig 6C and 6D).
This is consistent with spike being under intense immune pressure since it is the main glyco-
protein for SARS-CoV-2. As such, spike must change in order to escape the host immune
response, while maintaining its main function of binding and entry into host cells. Signature 1
changes are the predominant source of mutations in all SARS-CoV-2 VOCs that we analysed,
followed by unattributed mutations, Signature 2 changes and Signature 3 changes. Signature 3
changes were unlikely to be synonymous mutations with only Beta, Gamma and Delta con-
taining very few such changes (Fig 6D). This is also reflected in the global synonymous/non-
synonymous exposures where Signature 3 appears completely inactive in the synonymous
mutation subset (Fig 6A). Signature 2 exposure appears the most likely to be synonymous
mutations (Fig 6A) but this does not seem to be observed in the VOC lineages where most Sig-
nature 2 changes are non-synonymous mutations (Fig 6B).
In conclusion, mutational signature analysis reveals important processes contributing to
SARS-CoV-2 genetic variation and serves as a tool to track the dominant changes over time
and to generate hypotheses about the main mechanistic processes in play. Specifically, host
antiviral molecules as opposed to replication errors appear to be a the main generator of muta-
tions (confirming earlier computational studies), a result that requires experimental confirma-
tion. Despite limitations in potential biases, our findings contribute to a better understanding
of the complex dynamics driving the evolution of SARS-CoV-2 and the emergence of VOCs.
Methods
Data
The findings of this study are based on metadata associated with 13,281,213 sequences avail-
able on GISAID up to October 26, 2022 and accessible at doi.org/10.55876/gis8.221201qs.
Sequences were filtered to remove records from non-human hosts, with lengths less than
20,000 nucleotides, non-assigned lineages, with greater than 30% unknown bases, sequences
reported to be collected before 24/12/2019 and those with excessive mutations/deletions. The
cutoff for filtering out hypermutated sequences was 175 mutations in coding regions or more
than 69 different deletions, the cutoffs were manually determined after evaluation of the
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PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
mutation/deletion distribution and selecting the point where sequence counts were consis-
tently observed in single digits, this resulted in 1,852 sequences being filtered out.
Publicly available daily SARS-CoV-2 cases, tests performed and total vaccinations per capita
were obtained from OWID [58] in September 2022. Prior to February 2023, the OWID data
was piped from the Johns Hopkins University COVID-19 dashboard [33, 59]. Country-level
government stringency indices were downloaded from OxCGRT [60]. Government stringency
indices are composed of nine indicators: school closure, workplace closure, cancellation of
public events, stay at home order, public information campaigns, restrictions on public gather-
ings, public transport, internal movement and international travel. The index on a given day
ranges from 0 to 100 and is calculated as the mean of the nine indicators, with higher indices
indicating stricter regulations. If responses vary at sub-national levels, the index at the strictest
level is used [60].
Wastewater findings are based on metadata associated with 1,343 sequences available on
GISAID and accessible at doi.org/10.55876/gis8.230406qg. Wastewater sequences were down-
loaded from the ‘wastewater data’ section of GISAID in December 2022.
Sequences for immunocompromised individuals were downloaded from GISAID in
November 2022. Analysis of this was based on the metadata associated with 34 sequences avail-
able on GISAID and accessible at doi.org/10.55876/gis8.230406fb. Sequences were chosen
based on the known list of sequences used in [30]. Sequences were aligned to the COVID refer-
ence genome before use.
Design
Predictors of SARS-CoV-2 reported cases were explored using a linear model at both country
and continent levels. We collected continuous dependent variables reported on a daily basis.
These were classified into two groups: (i) public health measures (government stringency, test-
ing capacity and vaccination), (ii) viral properties (diversity and fitness). We examined the
data for completeness of predictive variables. In instances of missing vaccination data, we
interpreted this as no vaccinations having been given. This was a reasonable assumption for
periods prior to the vaccine rollouts in the respective countries. With the exception of vaccina-
tions, variables with less than 70% of the countries reporting data were not included. The num-
ber of SARS-CoV-2 diagnostic tests performed was excluded as a predictor due to missing
data. We determined the previous burden by summing the adjusted new cases per capita over
the past 90 days. Prior infection significantly reduces the risk of a subsequent infection, with a
reduction in risk of up to 95% in the initial three months [61]. This was included as a predictor
variable in the linear model.
Amino acid substitutions were defined against the Wuhan-Hu-1 sequence. Building on
findings from Obermeyer et al., we extracted a list of previously identified fitness-associated
mutations [62]. Each fit mutation within a sequence was counted and the counts were normal-
ized to the number of sequences per geographical location. Virus fitness was therefore defined
as the sum of the frequencies of previously identified [62] amino acid substitutions that
increase SARS-CoV-2 fitness divided by the sum of total genomes and the log of total muta-
tions per location.
Virus Fitness ¼
weekly sum of
fit mutations
total seqs per week þ logðtotal mutations per weekÞ
Diversity was calculated by dividing distinct lineages by the total number of genomes in a
given week. Sequences reported in GISAID were assumed to be representative of the diversity
of infections for that continent/country.
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Linear model
We employed a linear regression model, described by Heo et al. [63], to adjust reported cases
per country using the Human Development Index (HDI), which encompasses not just eco-
nomic growth but also reflects a country’s capacity for per capita testing. Countries with higher
HDI levels, typically high-income nations, conducted more tests per million people, often lead-
ing to more confirmed cases compared to nations with lower HDI levels. Adjusted daily cases
were smoothed using a 14-days rolling average to limit possible noise and identify simplified
changes over time. For continent-level analysis, data from all contributing countries was used
to fit the linear model. To ensure that countries with a large number of cases didn’t artificially
inflate the results, each country’s influence on the continent-level OxCGRT index was adjusted
based on its percent contribution to the continent’s 14-day average daily case tally.
Pearson’s correlation was used to test for correlation among the variables. Multiple linear
regression was fitted to evaluate the relationship between infection rate (adjusted daily cases
per capita) as the outcome and the public health measures and viral properties as predictors
within the different continents. The regression models were fitted on data from 01 April 2020
onwards, as (sequence) data addition remained stable after this. The country-level analysis was
carried out for countries with less than 50 days of missing genome data using a similar
approach.
Pandemic plots
Case numbers and sequence data were aggregated by their respective continents, a 14-day roll-
ing average was used to smooth out daily infection rates and categorical variables were sum-
marised by counts. Proportions of lineages were calculated in 14-days bins and the most
common lineages were visualised per continent.
Tree-based referencing
The rapid evolution of SARS-CoV-2 means that the majority of viral sequences are distinct
from the early pandemic reference genome Wuhan-Hu-1 [64]. Continuing to count mutations
against the early reference sequence can result in mutations being allocated the wrong substi-
tution category (i.e., A!T instead of a C!T) where sites have mutated multiple times. Azgari
et al. [35] tackled this issue by building a tree of clustered sequences to remove ancestral muta-
tions. However, we utilise the available SARS-CoV-2 tree generated as part of the Pango [8]
nomenclature to generate a reference sequence for each defined lineage. This means that
sequences from the lineage B.1 are compared against a generated reference sequence for the B
lineage rather than the Wuhan-1 sequence (See S3 Fig for diagrammatic description).
One reference sequence was generated for each of the Pango lineages in the alignment. A
nucleotide was included in the generated Pango reference if it exceeded a frequency threshold
of greater than 75% of the samples from the lineage. If this threshold was not reached, the ref-
erence nucleotide of the nearest parental lineage was used (i.e., if a mutation in B.1 is ambigu-
ous, the nucleotide from the B lineage reference at that position is used). Building intermediate
references also meant that counting inherited mutations could be avoided. Since mutations
were identified relative to their nearest parental Pango lineage, inherited mutations are not
counted because, relative to this sequence, there hasn’t been a mutation. Mutations are also
only counted once per lineage set of sequences so that mutations that are observed many times
due spread of the virus rather than acquisition by a mutational process are not over-counted.
This means that convergent amino acid substitutions can be observed between lineage sets,
although they may be undercounted within a lineage. However, this is necessary since it is very
difficult to identify convergence within similar sequences (especially at a global scale).
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Overcounting of the mutations results in mutational signatures that reflect the circulating pre-
dominant lineages rather than the mutational processes producing the mutations in those
lineages.
Pseudo-sampling
Mutations were binned into categories composed of their substitution type (e.g., cytosine !
thymine = CT) and their mutation context. The mutation context is the mutated base and
the nucleotides at the 5’ and 3’ positions of the mutated base. There are a total of 192 types
of substitution-context matchings that can appear (12 possible single nucleotide changes x
four possible nucleotide 5’ x four possible nucleotide 3’). Every sequence produces a single
count vector of mutation category counts, with the total count matrix becoming the muta-
tional catalogue of the virus. On average, a single SARS-CoV-2 genome sequence has very
few new mutations. As extracting mutational signatures when mutation counts are low is
unlikely to produce meaningful results, we define each sample as a time-point (all of the
sequences collected in an epidemic week) and decompose signatures from the counts at
each time-point rather than from each sequence. This shrinks the mutational catalogue of
the virus from millions of samples down to less than 200 samples, one for each Epidemic
Week.
Non-negative matrix factorisation
NMF (non-negative matrix factorisation) [65, 66] was used to split the mutational catalogue
into two sub-matrices. One matrix represents the mutational signatures, the other matrix rep-
resents the exposure of the signatures. These matrices were used to reconstruct the original
mutational catalogue with some degree of error. To verify the validity of the identified signa-
tures, NMF was performed 100 times for each value of N, with N representing the number of
signatures to extract from the mutational catalogue. For this analysis, N was set to 2, . . ., 10.
For each NMF run, a new mutational catalogue was generated using bootstrap re-sampling of
the original matrix and removal of any mutational categories that did not account for more
than 0.5% of mutations. Mutational categories are pseudo-sampled down into epidemic week
matrices that NMF was run on. The signatures were then clustered together using K-means
clustering, with the cluster means forming the new signatures. Clusters were then assessed
using the silhouette score to determine the clustering quality. Clusters with high silhouette
scores are well separated from other clusters and are dense and well-formed. Cosine similarity
was used to determine if the signature was reliably extracted from the cluster. The cosine simi-
larity was calculated between signatures extracted from the whole mutational catalogue and
the cluster means of the signature clusters. A higher cosine similarity indicates that the cluster
mean shows a similar pattern to the initial mutational signature. Following the best practices
in Islam et al. [66], an N value of three was selected due to the reduction of the reconstruction
error plateauing around three and the marked decrease in silhouette score for signatures
greater than 3. The average cosine similarity between signatures and clusters was consistently
above 0.95 for each cluster and had an average of 0.98 for all three clusters when clustering was
repeated 100 times. Silhouette scores for each cluster were above 0.95, suggesting excellent sep-
aration and density of clusters (S5 Table and S9 Fig). Signatures can therefore be reliably
extracted from the bootstrapped catalogues, are robust and thus are unlikely to be artefacts.
Counts of mutations were normalised by the tri-mer composition of the SARS-CoV-2 refer-
ence sequence (dividing the counts by the number of contexts in the reference sequence).
Composition biased versions of the signatures were then produced by rescaling the signatures
using tri-mer composition.
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PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
Non-negative least squares regression
A non-negative least squares (NNLS) Regression was used to produce positive exposure
weights for each of the signatures in each of the datasets. The non-negativity of the regression
ensures that the weights of the signatures continue to represent an additive process. The NNLS
weights can then represent the exposures of the signatures on each dataset.
Consensus lineage and continent signatures
Mutational catalogues were constructed for each continent and each of the Variant of Concern
(VOC) lineages (Alpha, Beta, Gamma, Delta and Omicron). The global signatures were then
used to extract exposures for each of the mutational catalogues to determine how processes
varied between each mutational catalogue subset. VOC sequence sets were filtered so that
weeks with fewer than 100 sequences were excluded.
Supporting information
S1 Fig. Country-level SARS-CoV-2 lineage dynamics. Solid bars show the biweekly propor-
tions of the common lineages. Bars are coloured by lineage and white space shows the propor-
tion of sequences from other lineages. The countries included in this analysis is based on
temporal data completeness.
(TIF)
S2 Fig. Model-fitting of country-level SARS-CoV-2 reported cases. Black solid lines show a
14-day rolling average of adjusted SARS-CoV-2 cases. Pink solid lines show fitted mean
response values of infection rates with predictor values as input and grey shaded areas high-
light the confidence intervals. The countries included in this analysis is based on temporal data
completeness.
(TIF)
S3 Fig. Diagrammatic depiction of how tree-based referencing works. Each Pango lineage
has a reference generated for it. Arrows show which sequences use which reference sequence,
with the arrow tip indicating the reference. For example, sequences from the B.1 lineage are
compared against the reference for the B lineage so that B.1 lineage-defining mutations can be
counted.
(TIF)
S4 Fig. Graphical description of the methods for NMF extraction of mutational signatures.
For every value of N signatures, the mutational signatures are extracted 100 times for boot-
straped and pseudo-sampled datasets. Once this has been completed, signatures are clustered
into N clusters and the stability and density of those clusters are evaluated using the silhouette
score. Signatures that have silhouette scores above 0.95 are evaluated as stable signatures. The
cluster means become the extracted signatures. The best set of N signatures is selected by pick-
ing the value of N that best minimises the reconstruction error and has the best silhouette score
(with a minimum of 0.95). A further evaluation is the cosine similarity of the clustered signa-
ture means with the signatures extracted by completing NMF on the original pseudo-sampled
dataset. Again, signatures must have a cosine similarity of at least 0.95 to be considered.
(TIF)
S5 Fig. Non-normalised mutational signatures for SARS-CoV-2. Signatures were extracted
using normalised counts calculated by dividing the mutation counts by the count of the tri-
nucleotide context of the mutation context (Fig 4). These signatures were then multiplied
post-analysis by the tri-nucleotide composition of the reference sequence to produce the non-
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PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
normalised signatures shown here.
(TIF)
S6 Fig. Counts of unique substitutions per week of the pandemic. Areas are coloured by
substitution category.
(TIF)
S7 Fig. Counts of unique substitutions per week of the pandemic for each VOC category.
Areas are coloured by substitution category.
(TIF)
S8 Fig. Counts of unique substitutions per week of the pandemic for each continent cate-
gory. Areas are coloured by substitution category.
(TIF)
S9 Fig. Signature evaluation metrics. The number of signatures was selected at N = 3 since
this produced an “elbow” for the reconstruction error while having a suitable silhouette score
greater than 0.95.
(TIF)
S1 Table. Proportion of common lineages/variants globally.
(XLSX)
S2 Table. Correlation between infection rate and predictor variables across different conti-
nents.
(XLSX)
S3 Table. Effect of public health measures (government stringency and vaccination) and
viral properties (diversity and fitness) on infection rates at continent level.
(XLSX)
S4 Table. Effect of public health measures (government stringency and vaccination) and
viral properties (diversity and fitness) on infection rates at national levels.
(XLSX)
S5 Table. Evaluation Results for Signature with N = 3.
(XLSX)
Acknowledgments
We gratefully acknowledge all data contributors, i.e., the authors and their originating labora-
tories responsible for obtaining the specimens and their submitting laboratories for generating
the genetic sequence and metadata and sharing via the GISAID Initiative, on which this
research is based. For the purpose of open access, the author has applied a Creative Commons
Attribution (CC BY) licence to any Author Accepted Manuscript version arising. We thank
Spyros Lytras, Francesca Young, Sejal Modha, Andres Gomez and Procheta Sen for their help-
ful comments throughout the process of writing and preparing this manuscript.
Author Contributions
Conceptualization: Kieran D. Lamb, Ke Yuan, David L. Robertson.
Data curation: Richard J. Orton.
Formal analysis: Kieran D. Lamb, Martha M. Luka, Megan Saathoff.
PLOS Computational Biology | https://doi.org/10.1371/journal.pcbi.1011795 January 25, 2024
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PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
Funding acquisition: Matthew Cotten, Ke Yuan, David L. Robertson.
Investigation: Kieran D. Lamb, Martha M. Luka, Ke Yuan, David L. Robertson.
Methodology: Kieran D. Lamb, Ke Yuan.
Resources: Kieran D. Lamb.
Software: Kieran D. Lamb.
Supervision: My V. T. Phan, Matthew Cotten, Ke Yuan, David L. Robertson.
Visualization: Kieran D. Lamb.
Writing – original draft: Kieran D. Lamb, Martha M. Luka, Megan Saathoff.
Writing – review & editing: Kieran D. Lamb, Martha M. Luka, My V. T. Phan, Matthew Cot-
ten, Ke Yuan, David L. Robertson.
References
1. Yang X, Yu Y, Xu J, Shu H, Xia J, Liu H, et al. Clinical course and outcomes of critically ill patients with
SARS-CoV-2 pneumonia in Wuhan, China: a single-centered, retrospective, observational study. The
Lancet Respiratory Medicine. 2020; 8:475–481. https://doi.org/10.1016/S2213-2600(20)30079-5
PMID: 32105632
2.
Li Q, Guan X, Wu P, Wang X, Zhou L, Tong Y, et al. Early Transmission Dynamics in Wuhan, China, of
Novel Coronavirus–Infected Pneumonia. New England Journal of Medicine. 2020; 382:1199–1207.
https://doi.org/10.1056/NEJMoa2001316 PMID: 31995857
3. Petersen E, Koopmans M, Go U, Hamer DH, Petrosillo N, Castelli F, et al. Comparing SARS-CoV-2
with SARS-CoV and influenza pandemics. The Lancet Infectious Diseases. 2020; 20:e238–e244.
https://doi.org/10.1016/S1473-3099(20)30484-9 PMID: 32628905
4.
da Silva Filipe A, Shepherd JG, Williams T, Hughes J, Aranday-Cortes E, Asamaphan P, et al. Geno-
mic epidemiology reveals multiple introductions of SARS-CoV-2 from mainland Europe into Scotland.
Nature Microbiology 2020; 6:112–122. https://doi.org/10.1038/s41564-020-00838-z PMID:
33349681
5. Dewi A, Nurmandi A, Rochmawati E, Purnomo EP, Rizqi MD, Azzahra A, et al. Global policy responses
to the COVID-19 pandemic: proportionate adaptation and policy experimentation: a study of country
policy response variation to the COVID-19 pandemic. Health Promotion Perspectives. 2020; 10:359.
https://doi.org/10.34172/hpp.2020.54 PMID: 33312931
6. Kirby T. New variant of SARS-CoV-2 in UK causes surge of COVID-19. The Lancet Respiratory medi-
cine. 2021; 9:e20–e21. https://doi.org/10.1016/S2213-2600(21)00005-9 PMID: 33417829
7.
Lauring AS, Hodcroft EB. Genetic Variants of SARS-CoV-2—What Do They Mean? JAMA. 2021;
325:529–531. PMID: 33404586
8. Rambaut A, Holmes EC, O’Toole A´ ine, Hill V, McCrone JT, Ruis C, et al. A dynamic nomenclature pro-
posal for SARS-CoV-2 lineages to assist genomic epidemiology. Nature Microbiology 2020; 5:1403–
1407. https://doi.org/10.1038/s41564-020-0770-5 PMID: 32669681
9. Harvey WT, Carabelli AM, Jackson B, Gupta RK, Thomson EC, Harrison EM, et al. SARS-CoV-2 vari-
ants, spike mutations and immune escape. Nature Reviews Microbiology 2021; 19:409–424. https://
doi.org/10.1038/s41579-021-00573-0 PMID: 34075212
10. WHO. Coronavirus Disease (COVID-19) Situation Reports; 2022. Available from: https://www.who.int/
emergencies/diseases/novel-coronavirus-2019/situation-reports.
11.
Tegally H, Wilkinson E, Giovanetti M, Iranzadeh A, Fonseca V, Giandhari J, et al. Detection of a SARS-
CoV-2 variant of concern in South Africa. Nature 2021; 592:438–443. https://doi.org/10.1038/s41586-
021-03402-9 PMID: 33690265
12. Bugembe DL, Phan MVT, Ssewanyana I, Semanda P, Nansumba H, Dhaala B, et al. Emergence and
spread of a SARS-CoV-2 lineage A variant (A.23.1) with altered spike protein in Uganda. Nature Micro-
biology 2021; 6:1094–1101. https://doi.org/10.1038/s41564-021-00933-9 PMID: 34163035
13. Mlcochova P, Kemp SA, Dhar MS, Papa G, Meng B, Ferreira IATM, et al. SARS-CoV-2 B.1.617.2 Delta
variant replication and immune evasion. Nature. 2021; 599:7883. https://doi.org/10.1038/s41586-021-
03944-y PMID: 34488225
PLOS Computational Biology | https://doi.org/10.1371/journal.pcbi.1011795 January 25, 2024
23 / 26
PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
14. Alexandrov LB, Stratton MR. Mutational signatures: the patterns of somatic mutations hidden in cancer
genomes. Current opinion in genetics & development. 2014; 24:52–60. https://doi.org/10.1016/j.gde.
2013.11.014 PMID: 24657537
15. Alexandrov LB, Nik-Zainal S, Wedge DC, Aparicio SAJR, Behjati S, Biankin AV, et al. Signatures of
mutational processes in human cancer. Nature 2013; 500:415–421. https://doi.org/10.1038/
nature12477 PMID: 23945592
16.
Forbes SA, Beare D, Boutselakis H, Bamford S, Bindal N, Tate J, et al. COSMIC: Somatic cancer
genetics at high-resolution. Nucleic Acids Research. 2017; 45:D777–D783. https://doi.org/10.1093/nar/
gkw1121 PMID: 27899578
17. Simmonds P. Rampant C!U Hypermutation in the Genomes of SARS-CoV-2 and Other Coronavi-
ruses: Causes and Consequences for Their Short- and Long-Term Evolutionary Trajectories. mSphere.
2020; 5. https://doi.org/10.1128/mSphere.00408-20 PMID: 32581081
18. Ratcliff J, Simmonds P. Potential APOBEC-mediated RNA editing of the genomes of SARS-CoV-2 and
other coronaviruses and its impact on their longer term evolution. Virology. 2021; 556:62. https://doi.
org/10.1016/j.virol.2020.12.018 PMID: 33545556
19. Sanjua´ n R, Domingo-Calap P. Mechanisms of viral mutation. Cellular and molecular life sciences.
2016; 73:4433–4448. https://doi.org/10.1007/s00018-016-2299-6 PMID: 27392606
20. Shu Y, McCauley J. GISAID: Global initiative on sharing all influenza data—from vision to reality.
Eurosurveillance. 2017; 22(13). https://doi.org/10.2807/1560-7917.ES.2017.22.13.30494 PMID:
28382917
21. Picardi E, Mansi L, Pesole G. Detection of A-to-I RNA Editing in SARS-COV-2. Genes 2021; 13:41.
https://doi.org/10.3390/genes13010041 PMID: 35052382
22. Ringlander J, Fingal J, Kann H, Prakash K, Rydell G, Andersson M, et al. Impact of ADAR-induced edit-
ing of minor viral RNA populations on replication and transmission of SARS-CoV-2. Proceedings of the
National Academy of Sciences of the United States of America. 2022; 119:e2112663119. https://doi.
org/10.1073/pnas.2112663119 PMID: 35064076
23. Bloom JD, Beichman AC, Neher RA, Harris K. Evolution of the SARS-CoV-2 Mutational Spectrum.
Molecular Biology and Evolution. 2023; 40(4). https://doi.org/10.1093/molbev/msad085 PMID:
37039557
24. Ruis C, Peacock TP, Polo LM, Masone D, Alvarez MS, Hinrichs AS, et al. Mutational spectra distinguish
SARS-COV-2 replication niches. 2022. https://doi.org/10.1101/2022.09.27.509649
25. Wang P, Nair MS, Liu L, Iketani S, Luo Y, Guo Y, et al. Antibody resistance of SARS-CoV-2 variants
B.1.351 and B.1.1.7. Nature 2021; 593:130–135. https://doi.org/10.1038/s41586-021-03398-2 PMID:
33684923
26. Wang Z, Schmidt F, Weisblum Y, Muecksch F, Barnes CO, Finkin S, et al. mRNA vaccine-elicited anti-
bodies to SARS-CoV-2 and circulating variants. Nature 2021; 592:616–622. https://doi.org/10.1038/
s41586-021-03324-6 PMID: 33567448
27. Ou J, Lan W, Wu X, Zhao T, Duan B, Yang P, et al. Tracking SARS-CoV-2 Omicron diverse spike gene
mutations identifies multiple inter-variant recombination events. Signal Transduction and Targeted
Therapy 2022; 7:1–9. https://doi.org/10.1038/s41392-022-00992-2 PMID: 35474215
28. Shafer MM, Gregory D, Bobholz MJ, Roguet A, Haddock Soto LA, Rushford C, et al. Tracing the origin
of SARS-CoV-2 Omicron-like Spike sequences detected in wastewater. medRxiv. 2022; https://doi.org/
10.1101/2022.10.28.22281553
29. Chaguza C, Hahn AM, Petrone ME, Zhou S, Ferguson D, Breban MI, et al. Accelerated SARS-CoV-2
intrahost evolution leading to distinct genotypes during chronic infection. Cell Reports Medicine. 2023;
p. 100943. https://doi.org/10.1016/j.xcrm.2023.100943 PMID: 36791724
30. Harari S, Tahor M, Rutsinsky N, Meijer S, Miller D, Henig O, et al. Drivers of adaptive evolution during
chronic SARS-CoV-2 infections. Nature Medicine. 2022; 28(7):1501–1508. https://doi.org/10.1038/
s41591-022-01882-4 PMID: 35725921
31. Bamgboye EL, Omiye JA, Afolaranmi OJ, Davids MR, Tannor EK, Wadee S, et al. COVID-19 Pan-
demic: Is Africa Different? Journal of the National Medical Association. 2021; 113:324. https://doi.org/
10.1016/j.jnma.2020.10.001 PMID: 33153755
32. Herng LC, Singh S, Sundram BM, Zamri ASSM, Vei TC, Aris T, et al. The effects of super spreading
events and movement control measures on the COVID-19 pandemic in Malaysia. Scientific Reports.
2022; 12. https://doi.org/10.1038/s41598-022-06341-1 PMID: 35140319
33. Dong E, Ratcliff J, Goyea TD, Katz A, Lau R, Ng TK, et al. The Johns Hopkins University Center for Sys-
tems Science and Engineering COVID-19 Dashboard: data collection process, challenges faced, and
lessons learned; The Lancet Infectious Diseases, 22(12), e370–e376. https://doi.org/10.1016/S1473-
3099(22)00434-0 PMID: 36057267
PLOS Computational Biology | https://doi.org/10.1371/journal.pcbi.1011795 January 25, 2024
24 / 26
PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
34. Graudenzi A, Maspero D, Angaroni F, Piazza R, Ramazzotti D. Mutational signatures and heteroge-
neous host response revealed via large-scale characterization of SARS-CoV-2 genomic diversity.
ISCIENCE. 2021; 24:102116. https://doi.org/10.1016/j.isci.2021.102116 PMID: 33532709
35. Azgari C, Kilinc Z, Turhan B, Circi D, Adebali O, Castilletti C, et al. The Mutation Profile of SARS-CoV-2
Is Primarily Shaped by the Host Antiviral Defense. Signal Transduction and Targeted Therapy 2022
7:1. 2021. https://doi.org/10.3390/v13030394 PMID: 33801257
36. Giorgio SD, Martignano F, Torcia MG, Mattiuz G, Conticello SG. Evidence for host-dependent RNA
editing in the transcriptome of SARS-CoV-2. Science Advances. 2020; 6:5813–5830. https://doi.org/10.
1126/sciadv.abb5813 PMID: 32596474
37. Yi K, Kim SY, Bleazard T, Kim T, Youk J, Ju YS. Mutational spectrum of SARS-COV-2 during the global
pandemic. Experimental & Molecular Medicine. 2021; 53(8):1229–1237. https://doi.org/10.1038/
s12276-021-00658-z PMID: 34453107
38.
Langenbucher A, Bowen D, Sakhtemani R, Bournique E, Wise JF, Zou L, et al. An extended APO-
BEC3A mutation signature in cancer. Nature Communications. 2021; 12. https://doi.org/10.1038/
s41467-021-21891-0 PMID: 33707442
39. Kim K, Calabrese P, Wang S, Qin C, Rao Y, Feng P, et al. The Roles of APOBEC-mediated RNA Edit-
ing in SARS-CoV-2 Mutations, Replication and Fitness. bioRxiv. 2021.12.18.473309. https://doi.org/10.
1101/2021.12.18.473309
40.
41.
Trypsteen W, Cleemput JV, van Snippenberg W, Gerlo S, Vandekerckhove L. On the whereabouts of
SARS-CoV-2 in the human body: A systematic review. PLOS Pathogens. 2020; 16:e1009037. https://
doi.org/10.1371/journal.ppat.1009037 PMID: 33125439
Takata MA, Gonc¸alves-Carneiro D, Zang TM, Soll SJ, York A, Blanco-Melo D, et al. CG dinucleotide
suppression enables antiviral defence targeting non-self RNA. Nature. 2017; 550(7674):124–127.
https://doi.org/10.1038/nature24039 PMID: 28953888
42. Nchioua R, Kmiec D, Mu¨ller JA, Conzelmann C, Groß R, Swanson CM, et al. Sars-cov-2 is restricted by
zinc finger antiviral protein despite preadaptation to the low-cpg environment in humans. mBio. 2020;
11(5):1–19. https://doi.org/10.1128/mBio.01930-20
43.
Zimmer MM, Kibe A, Rand U, Pekarek L, Ye L, Buck S, et al. The short isoform of the host antiviral pro-
tein ZAP acts as an inhibitor of SARS-CoV-2 programmed ribosomal frameshifting. Nature Communica-
tions. 2021; 12(1):1–15. https://doi.org/10.1038/s41467-021-27431-0 PMID: 34893599
44. Mourier T, Sadykov M, Carr MJ, Gonzalez G, Hall WW, Pain A. Host-directed editing of the SARS-CoV-
2 genome. Biochemical and Biophysical Research Communications. 2021; 538:35–39. https://doi.org/
10.1016/j.bbrc.2020.10.092 PMID: 33234239
45.
Li Z, Wu J, DeLeo CJ. RNA damage and surveillance under oxidative stress. IUBMB Life. 2006;
58:581–588. https://doi.org/10.1080/15216540600946456 PMID: 17050375
46. V’kovski P, Kratzel A, Steiner S, Stalder H, Thiel V. Coronavirus biology and replication: implications for
SARS-CoV-2. Nature Reviews Microbiology 2020; 19:155–170. https://doi.org/10.1038/s41579-020-
00468-6 PMID: 33116300
47. Simmonds P, Ansari MA. Extensive C->U transition biases in the genomes of a wide range of mamma-
lian RNA viruses; potential associations with transcriptional mutations, damage- or host-mediated editing
of viral RNA. PLoS Pathogens. 2021; 17. https://doi.org/10.1371/journal.ppat.1009596 PMID: 34061905
48. Kucab JE, Zou X, Morganella S, Joel M, Nanda AS, Nagy E, et al. A Compendium of Mutational Signa-
tures of Environmental Agents. Cell. 2019; 177(4):821–836.e16. https://doi.org/10.1016/j.cell.2019.03.
001 PMID: 30982602
49.
Thorne LG, Bouhaddou M, Reuschl AK, Zuliani-Alvarez L, Polacco B, Pelin A, et al. Evolution of
enhanced innate immune evasion by SARS-CoV-2. Nature. 2022; 602:487–495. https://doi.org/10.
1038/s41586-021-04352-y PMID: 34942634
50. Carabelli AM, Peacock TP, Thorne LG, Harvey WT, Hughes J, de Silva TI, et al. SARS-CoV-2 variant
biology: immune escape, transmission and fitness; Nat Rev Microbiol 21, 162–177 (2023). https://doi.
org/10.1038/s41579-022-00841-7 PMID: 36653446
51. Markov PV, Ghafari M, Beer M, Lythgoe K, Simmonds P, Stilianakis NI, et al. The evolution of SARS-CoV-
2; Nat Rev Microbiol 21, 361–379 (2023). https://doi.org/10.1038/s41579-023-00878-2 PMID: 37020110
52.
Liu G, Gack MU. SARS-CoV-2 learned the ‘Alpha’bet of immune evasion; Nature Immunology. 2022;
23:351–353. https://doi.org/10.1038/s41590-022-01148-8 PMID: 35194206
53. Chen K, Xiao F, Hu D, Ge W, Tian M, Wang W, et al. Sars-cov-2 nucleocapsid protein interacts with rig-
i and represses rig-mediated ifn-β production. Viruses. 2021; 13.
54. Catanzaro M, Fagiani F, Racchi M, Corsini E, Govoni S, Lanni C. Immune response in COVID-19:
addressing a pharmacological challenge by targeting pathways triggered by SARS-CoV-2; Sig Trans-
duct Target Ther 5, 84 (2020). https://doi.org/10.1038/s41392-020-0191-1 PMID: 32467561
PLOS Computational Biology | https://doi.org/10.1371/journal.pcbi.1011795 January 25, 2024
25 / 26
PLOS COMPUTATIONAL BIOLOGYMutational processes and SARS-CoV-2’s evolutionary capacity
55. Miorin L, Kehrer T, Sanchez-Aparicio MT, Zhang K, Cohen P, Patel RS, et al. SARS-CoV-2 Orf6 hijacks
Nup98 to block STAT nuclear import and antagonize interferon signaling; Proceedings of the National
Academy of Sciences, 117(45), 28344–28354. https://doi.org/10.1073/pnas.2016650117 PMID:
33097660
56. Willett BJ, Grove J, MacLean OA, Wilkie C, Lorenzo GD, Furnon W, et al. SARS-CoV-2 Omicron is an
immune escape variant with an altered cell entry pathway. Nature Microbiology 2022; 7:1161–1179.
https://doi.org/10.1038/s41564-022-01143-7 PMID: 35798890
57.
Jackson CB, Farzan M, Chen B, Choe H. Mechanisms of SARS-CoV-2 entry into cells. Nature Reviews
Molecular Cell Biology 2021; 23:3–20. https://doi.org/10.1038/s41580-021-00418-x PMID: 34611326
58. Ritchie H, Mathieu E, Rode´ s-Guirao L, Appel C, Giattino C, Ortiz-Ospina E, et al. Coronavirus Pan-
demic (COVID-19). Our World in Data. 2020;.
59. Dong E, Du H, Gardner L. An interactive web-based dashboard to track COVID-19 in real time; The
Lancet Infectious Diseases Volume 20, Issue 5, May 2020, Pages 533–534 https://doi.org/10.1016/
S1473-3099(20)30120-1 PMID: 32087114
60. Hale T, Angrist N, Goldszmidt R, Kira B, Petherick A, Phillips T, et al. A global panel database of pan-
demic policies (Oxford COVID-19 Government Response Tracker). Nature Human Behaviour 2021;
5:529–538. https://doi.org/10.1038/s41562-021-01079-8 PMID: 33686204
61. Nordstro¨m P, Ballin M, Nordstro¨m A. Risk of SARS-CoV-2 reinfection and COVID-19 hospitalisation in
individuals with natural and hybrid immunity: a retrospective, total population cohort study in Sweden.
The Lancet Infectious Diseases. 2022; 22:781–790. https://doi.org/10.1016/S1473-3099(22)00143-8
PMID: 35366962
62. Obermeyer F, Jankowiak M, Barkas N, Schaffner SF, Pyle JD, Yurkovetskiy L, et al. Analysis of 6.4 mil-
lion SARS-CoV-2 genomes identifies mutations associated with fitness. Science. 2022; 376:1327–
1332. https://doi.org/10.1126/science.abm1208 PMID: 35608456
63. Heo MH, Kwon YD, Cheon J, Kim KB, Noh JW. Association between the Human Development Index
and Confirmed COVID-19 Cases by Country. Healthcare (Switzerland). 2022; 10. https://doi.org/10.
3390/healthcare10081417 PMID: 36011075
64. Wu F, Zhao S, Yu B, Chen YM, Wang W, Song ZG, et al. A new coronavirus associated with human
respiratory disease in China. Nature 2020; 579:265–269. https://doi.org/10.1038/s41586-020-2008-3
PMID: 32015508
65.
66.
Lee DD, Seung HS. Learning the parts of objects by non-negative matrix factorization. Nature 1999;
401:788–791. https://doi.org/10.1038/44565 PMID: 10548103
Islam SMA, Dı´az-Gay M, Wu Y, Barnes M, Vangara R, Bergstrom EN, et al. Uncovering novel muta-
tional signatures by de novo extraction with SigProfilerExtractor. Cell Genomics. 2022; 2(11):100179.
https://doi.org/10.1016/j.xgen.2022.100179 PMID: 36388765
PLOS Computational Biology | https://doi.org/10.1371/journal.pcbi.1011795 January 25, 2024
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Data availability
All data generated and analyzed during the present study are available upon request from the corresponding
author upon reasonable request.
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Data availability All data generated and analyzed during the present study are available upon request from the corresponding author upon reasonable request. Received: 22 April 2020; Accepted: 9 November 2020
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OPEN
Vascular endothelial growth
factor promotes atrial arrhythmias
by inducing acute intercalated disk
remodeling
Louisa Mezache1, Heather L. Struckman1, Amara Greer‑Short2, Stephen Baine2,3,
Sándor Györke2,3, Przemysław B. Radwański2,3,4, Thomas J. Hund1,2 &
Rengasayee Veeraraghavan1,2,3*
Atrial fibrillation (AF) is the most common arrhythmia and is associated with inflammation. AF
patients have elevated levels of inflammatory cytokines known to promote vascular leak, such
as vascular endothelial growth factor A (VEGF). However, the contribution of vascular leak and
consequent cardiac edema to the genesis of atrial arrhythmias remains unknown. Previous work
suggests that interstitial edema in the heart can acutely promote ventricular arrhythmias by
disrupting ventricular myocyte intercalated disk (ID) nanodomains rich in cardiac sodium channels
(NaV1.5) and slowing cardiac conduction. Interestingly, similar disruption of ID nanodomains has been
identified in atrial samples from AF patients. Therefore, we tested the hypothesis that VEGF‑induced
vascular leak can acutely increase atrial arrhythmia susceptibility by disrupting ID nanodomains and
slowing atrial conduction. Treatment of murine hearts with VEGF (30–60 min, at clinically relevant
levels) prolonged the electrocardiographic P wave and increased susceptibility to burst pacing‑
induced atrial arrhythmias. Optical voltage mapping revealed slower atrial conduction following
VEGF treatment (10 ± 0.4 cm/s vs. 21 ± 1 cm/s at baseline, p < 0.05). Transmission electron microscopy
revealed increased intermembrane spacing at ID sites adjacent to gap junctions (GJs; 64 ± 9 nm
versus 17 ± 1 nm in controls, p < 0.05), as well as sites next to mechanical junctions (MJs; 63 ± 4 nm
versus 27 ± 2 nm in controls, p < 0.05) in VEGF–treated hearts relative to controls. Importantly, super‑
resolution microscopy and quantitative image analysis revealed reorganization of NaV1.5 away from
dense clusters localized near GJs and MJs to a more diffuse distribution throughout the ID. Taken
together, these data suggest that VEGF can acutely predispose otherwise normal hearts to atrial
arrhythmias by dynamically disrupting NaV1.5‑rich ID nanodomains and slowing atrial conduction.
These data highlight inflammation‑induced vascular leak as a potential factor in the development and
progression of AF.
Atrial fibrillation (AF) is the most common cardiac arrhythmia, affecting 2–3% of the US population1. Inflam-
mation, vascular leak, and associated tissue edema are common sequelae of pathologies associated with AF2–8,
and are emerging as proarrhythmic factors. Inflammatory signaling involving cytokines compromises the vas-
cular barrier function, and increase vascular leak9. Specifically, multiple studies in early stage AF patients (lone/
paroxysmal AF) report elevated levels of vascular endothelial growth factor A (VEGF; 89–560 pg/ml)3–6,8 and
VEGF receptor 2, its primary receptor in the vascular endothelium7. Likewise, elevated levels of vascular leak-
inducing cytokines predict AF recurrence following ablation10. Although vascular leak is known to promote
adverse remodeling and cardiovascular disease in the chronic condition (days-weeks)11–13, its acute (< 4 h) con-
tribution to arrhythmogenesis has yet to be explored. Myocardial edema, a direct consequence of vascular leak,
is linked to arrhythmias in multiple pathologies, including AF14–18. Likewise, cardiac edema has been linked
1Department of Biomedical Engineering, College of Engineering, The Ohio State University, 460 Medical Center
Dr., Rm 415A, IBMR, Columbus, OH 43210, USA. 2The Frick Center for Heart Failure and Arrhythmia, Dorothy
M. Davis Heart and Lung Research Institute, College of Medicine, The Ohio State University Wexner Medical
Center, Columbus, OH, USA. 3Department of Physiology and Cell Biology, College of Medicine, The Ohio State
University, Columbus, OH, USA. 4Division of Pharmacy Practice and Sciences, College of Pharmacy, The Ohio State
University, Columbus, OH, USA. *email: veeraraghavan.12@osu.edu
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Vol.:(0123456789)www.nature.com/scientificreportsto AF recurrence following ablation19,20. Previous work by us and others, suggests that interstitial edema can
acutely (within minutes) elevate arrhythmia susceptibility21–24. In these studies, the proarrhythmic impact of
edema resulted from disruption of cardiac sodium channel (NaV1.5)–rich intercalated disk (ID) nanodomains
and consequent slowing of action potential propagation22–25. Interestingly, similar disruption of ID nanodomains
has been identified in AF patients26. Therefore, we hypothesized that VEGF (at clinically-relevant levels) may
acutely promote atrial arrhythmias by disrupting ID nanodomains and slowing atrial conduction. We provide
structural and functional evidence, from the nanoscale to the in vivo level, demonstrating that this mechanism
can promote atrial arrhythmias. We also identify a novel form of tissue remodeling involving the dynamic
reorganization of NaV1.5 within the ID occurring in the aftermath of acute exposure to VEGF, resulting in the
dispersal of channels from dense clusters located within nanodomains.
Methods
All animal procedures were approved by Institutional Animal Care and Use Committee at The Ohio State Uni-
versity and performed in accordance with the Guide for the Care and Use of Laboratory Animals published by
the U.S. National Institutes of Health (NIH Publication No. 85-23, revised 2011).
Langendorff preparation, tissue collection. Male C57/BL6 mice (30 g, 6–18 weeks) were anesthetized
with 5% isoflurane mixed with 100% oxygen (1 l/min). After loss of consciousness, anesthesia was maintained
with 3–5% isoflurane mixed with 100% oxygen (1 l/min). Once the animal was stably in a surgical plane of anes-
thesia, the heart was excised, leading to euthanasia by exsanguination. The isolated hearts were prepared in one
of the following three ways:
i) Langendorff preparations: For optical mapping and ex vivo electrocardiography (ECG) studies, hearts were
perfused (at 60–80 mm Hg) in a Langendorff configuration with oxygenated, modified Tyrode’s solution
(containing, in mM: NaCl 140, KCl 5.4, MgCl2 0.5, CaCl2 1.2, dextrose 5.6, HEPES 10; pH adjusted to 7.4)
at 37 °C as previously described22,25,27–29.
ii) Cryopreservation: Hearts were embedded in optimal cutting temperature compound and frozen using liquid
nitrogen for cryosectioning and fluorescent immunolabeling as in previous studies22,23,25,30. These samples
were used for light microscopy experiments as described below.
iii) Fixation for Transmission Electron Microscopy (TEM): Atria were dissected and fixed overnight in 2%
glutaraldehyde at 4 °C for resin embedding and ultramicrotomy as previously described22,25.
For both structural and functional studies, the left atrium was prioritized in order to avoid any influence
from pacemaker tissue.
FITC‑dextran extravasation. Langendorff-perfused mouse hearts were perfused for 60 min with Tyrode’s
solution with or without VEGF (500 pg/ml) and FITC-dextran (10 mg/ml) was added to the final 10 ml of perfu-
sate. Perfused hearts were then cryopreserved as described above and extravasated FITC-dextran levels assessed
by confocal microscopy of cryosections.
Optical mapping and volume‑conducted electrocardiography (ECG). Optical voltage mapping
was performed using the voltage sensitive dye, di-4-ANEPPS (15 µM; ThermoFisher Scientific, Grand Island,
NY), as previously described22,23,29, in order to quantify conduction velocity. Motion was suppressed by add-
ing blebbistatin (10 µM) to the perfusate. Preparations were excited by 510 nm light and fluorescent signals
passed through a 610 nm longpass filter (Newport, Irvine, CA) and recorded at 1000 frames/sec using a MiCAM
Ultima-L CMOS camera (SciMedia, Costa Mesa, CA). Activation time was defined as the time of the maximum
first derivative of the AP31, and activation times were fitted to a parabolic surface32. Gradient vectors evaluated
along this surface were averaged along the fast axis of propagation (± 15°) to quantify CV. Hearts were paced
epicardially from the left atrium at a cycle length of 100 ms with 1 ms current pulses at 1.5 times the pacing
threshold for all CV measurements. A volume-conducted ECG was collected concurrently using silver chloride
electrodes placed in the bath and digitized at 1 kHz. Atrial arrhythmia inducibility was assessed by 10 s of burst
pacing at cycle lengths of 50, 40, and 30 ms as previously described33,34.
In subsets of experiments, vascular endothelial growth factor A (VEGF; Sigma SRP4364) was added to the
perfusate at 100 (low) and 500 pg/ml (high). These concentrations were selected based on VEGF levels observed
in human AF patients (89–560 pg/ml)3–6,8. Measurements were made following 30 min of treatment.
In vivo ECG. Continuous ECG recordings (PL3504 PowerLab 4/35, ADInstruments) were obtained from
mice anesthetized with isoflurane (1–1.5%) as previously described35. Briefly, after baseline recording (5 min.),
animals received either intraperitoneal VEGF (10 or 50 ng/kg; Sigma) or vehicle (PBS). After an additional
20 min, animals were injected intraperitoneally with epinephrine (1.5 mg/kg; Sigma) and caffeine (120 mg/kg;
Sigma) challenge and ECG recording continued for 40 min. ECG recordings were analyzed using the LabChart 8
software (ADInstruments).
Primary antibodies. The following primary antibodies were used for Western immunoblotting and fluo-
rescence microscopy studies:
• Connexin43 (Cx43; rabbit polyclonal; Sigma C6219)
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Vol:.(1234567890)www.nature.com/scientificreports/• Connexin40 (Cx40; rabbit polyclonal; ThermoFisher Scientific 36–4900)
• N-cadherin (N-cad; mouse monoclonal; BD Biosciences 610,920)
• Cardiac isoform of the voltage-gated sodium channel (NaV1.5; rabbit polyclonal; custom antibody25)
• The sodium channel β subunit (β1; rabbit polyclonal; custom antibody25)
Western immunoblotting. Whole cell lysates of mouse hearts frozen using liquid nitrogen were prepared
as previously described25,35,36. These were electrophoresed on 4–15% TGX Stain-free gels (BioRad, Hercules, CA)
before being transferred onto a nitrocellulose membrane. The membranes were probed with primary antibodies
against Cx43, Cx40, NaV1.5 and β1 as well as mouse monoclonal antibody against GAPDH (loading control;
Fitzgerald Industries, Acton, MA), followed by goat anti-rabbit and goat anti-mouse HRP-conjugated second-
ary antibodies (Promega, Madison, WI). Signals were detected by chemiluminescence using SuperSignal West
Femto Extended Duration Substrate (ThermoFisher Scientific, Grand Island, NY), imaged using a Chemidoc
MP imager (BioRad, Hercules, CA), and analyzed using Image Lab software (BioRad, Hercules, CA).
Fluorescent immunolabeling.
Immuno-fluorescent labeling of cryosections (5 µm thickness) of fresh-
frozen myocardium was performed, as previously described 22,25,35,37. Briefly, cryosections were fixed with para-
formaldehyde (2%, 5 min at room temperature), permeabilized with Triton X-100 (0.2% in PBS for 15 min at
room temperature) and treated with blocking agent (1% BSA, 0.1% triton in PBS for 2 h at room temperature)
prior to labeling with primary antibodies (overnight at 4 °C). Samples were then washed in PBS (3 × 5 min in PBS
at room temperature) prior to labeling with secondary antibodies.
For confocal microscopy, samples were then labeled with goat anti-mouse and goat anti-rabbit secondary
antibodies conjugated to Alexa 405, Alexa 488, Alexa 568 and Alexa 647 were used (1:8000; ThermoFisher Scien-
tific, Grand Island, NY). Simultaneous labeling with two rabbit or mouse primary antibodies was accomplished
by direct fluorophore conjugation of primary antibodies (Zenon labeling kits, ThermoFisher Scientific, Grand
Island, NY). Samples were then washed in PBS (3 × 5 min in PBS at room temperature) and mounted in ProLong
Gold (Invitrogen, Rockford, IL). For STimulated Emission Depletion (STED) microscopy, samples were prepared
similar to confocal microscopy but labeled with Alexa 594 and Atto 647 N fluorophores. For STochastic Optical
Reconstruction Microscopy (STORM), samples were labeled with Alexa 647 and Biotium CF 568 fluorophores.
STORM samples were then washed in PBS (3 × 5 min in PBS at room temperature) and optically cleared using
Scale U2 buffer (48 h at 4 °C) prior to imaging23,25,30.
Transmission electron microscopy (TEM). TEM images of the ID, particularly gap junctions (GJs) and
mechanical junctions (MJs), were obtained at 60,000 × magnification on a FEI Tecnai G2 Spirit electron micro-
scope. Intermembrane distance at various ID sites was quantified using ImageJ (NIH, http://rsbwe b.nih.gov/ij/),
as previously described22,25.
Sub‑diffraction confocal imaging (sDCI). Confocal imaging was performed using an A1R-HD laser
scanning confocal microscope equipped with four solid-state lasers (405 nm, 488 nm, 560 nm, 640 nm, 30 mW
each), a 63×/1.4 numerical aperture oil immersion objective, two GaAsP detectors, and two high sensitivity
photomultiplier tube detectors (Nikon, Melville, NY). Individual fluorophores were imaged sequentially with
the excitation wavelength switching at the end of each frame. Images were collected as z-stacks with fluorophores
images sequentially (line-wise) to achieve optimal spectral separation. Sub-diffraction structural information
(130 nm resolution) was recovered by imaging with a 12.8 µm pinhole (0.3 Airy units) with spatial oversampling
(4 × Nyquist sampling) and applying 3D deconvolution, as previously described38.
STimulated emission depletion (STED) microscopy. Samples were imaged using a time-gated STED
3X system (Leica, Buffalo Grove, IL) based on a TCS SP8 laser scanning confocal microscope and equipped with
STED modules, a pulsed white-light laser (470–670 nm; 80 MHz pulse rate), a Plan Apochromat STED WHITE
100×/1.4 numerical aperture oil immersion objective, HyD hybrid detectors, and three STED depletion lasers
(775 nm, 660 nm, 592 nm). Depletion beam was applied in the classical vortex donut configuration to achieve
the best lateral resolution (25 nm) as well as in a z-donut configuration to achieve the best axial resolution
(50 nm). Time gating of light collection (1.5–3.5 ns following each laser pulse) was also applied to aid in achiev-
ing optimal resolution. Images were collected as z-stacks with fluorophores images sequentially (line-wise) and
subjected to 3D deconvolution. These images were analyzed using object-based segmentation in 3D (OBS3D),
as previously described22,23.
Single molecule localization. STORM imaging was performed using a Vutara 352 microscope (Bruker
Nano Surfaces, Middleton, WI) equipped with biplane 3D detection, and fast sCMOS imaging achieving 20 nm
lateral and 50 nm axial resolution, as previously described 25,30,36,39. Individual fluorophore molecules were local-
ized with a precision of 10 nm. The two color channels were precisely registered using localized positions of
several TetraSpeck Fluorescent Microspheres (ThermoFisher Scientific, Carlsbad, CA) scattered throughout the
field of view, with the procedure being repeated at the start of each imaging session. Protein clustering and
spatial organization were quantitatively assessed from single molecule localization data using STORM-RLA, a
machine learning-based cluster analysis approach, as previously described30.
Statistical analysis. Treatments were applied in unblinded fashion for all studies. All data which passed the
Shaprio-Wilk test for normality were treated as follows. The Wilcoxon signed rank test or a single factor ANOVA
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Vol.:(0123456789)www.nature.com/scientificreports/Figure 1. Acute effects of VEGF on atrial conduction. (A) Representative volume-conducted ECGs. (B)
Summary plots of P wave duration (n = 5/group; *p < 0.05 vs. control). (C) Representative isochrone maps of left
atrial activation. (D) Summary plots of CV (n = 5/group; *p < 0.05 vs. control).
was used for single comparisons. For multiple comparisons, the Šidák correction was applied. Fisher’s exact test
was used to test differences in nominal data. For non-normal data, a Friedman rank sum test or Kruskal–Wal-
lis 1-way analysis of variance for paired and unpaired data was applied. A p < 0.05 was considered statistically
significant. All values are reported as mean ± standard error unless otherwise noted. To ensure unbiased results,
all image analyses were conducted using automated batch processing algorithms.
Results
Multiple studies in early stage AF patients (lone/paroxysmal AF) report elevated levels of VEGF (89–560 pg/
ml)3–6,8 and VEGF receptor 27. In order to assess the acute impact of VEGF on AF susceptibility, we assessed the
structural and electrophysiological impacts of treating Langendorff-perfused WT mouse hearts with clinically
relevant levels of VEGF (low: 100 pg/ml and high: 500 pg/ml) for 30 min. VEGF-induced vascular leak was first
confirmed by extravasation of FITC-dextran from cryosections of VEGF-treated (500 pg/ml) and vehicle control
hearts. Levels of FITC-dextran extravasated into VEGF-treated (500 pg/ml) hearts was doubled relative to vehicle
controls (201 ± 7% vs. 100 ± 9%, p < 0.05, n = 3 hearts/group; Supplementary Fig. 1). These data are consistent
with acute enhancement of vascular leak by VEGF.
Atrial conduction is slowed following acute VEGF treatment. To examine the functional impacts of
VEGF-induced ID remodeling, volume-conducted electrocardiograms (ECG) were recorded from Langendorff-
perfused mouse hearts (Fig. 1). Significant P-wave prolongation was observed following 30 min of VEGF perfu-
sion compared to control (Fig. 1A,B). VEGF exerted similar effects on P-wave duration in vivo (Supplementary
Fig. 2). These data point to possible slowing of atrial conduction following VEGF treatment. Next, we directly
assessed atrial conduction velocity using optical voltage mapping. Representative optical isochrone maps of
activation in Fig. 1C demonstrate increased conduction delay in VEGF treated hearts compared to untreated
controls. Overall, VEGF significantly and dose-dependently decreased atrial conduction velocity (Fig. 1D).
VEGF‑treated hearts are susceptible to atrial arrhythmias. Conduction slowing is a well-estab-
lished substrate for cardiac arrhythmias in general40–42, and AF in particular43,44. Therefore, we assessed the acute
effects of VEGF-induced conduction slowing on AF risk. A representative volume-conducted ECG trace in
Fig. 2A (top) illustrates resumption of sinus rhythm following atrial burst pacing. In contrast, an atrial arrhyth-
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Vol:.(1234567890)www.nature.com/scientificreports/Figure 2. Acute impact of VEGF on atrial arrhythmia susceptibility. (A) Representative volume-conducted
ECGs show response to burst pacing. (B) Incidence of atrial arrhythmias following burst pacing (n = 5/
group, * p < 0.05 vs. control). (C) Representative in vivo surface ECG illustrates atrial arrhythmia observed in
a VEGF-treated mouse following caffeine + epinephrine challenge. (D) Total atrial arrhythmia burden under
caffeine + epinephrine challenge quantified as seconds of arrhythmia per hour of observation (n = 10/group,
*p < 0.05 vs. control).
mia is apparent on the trace from a VEGF-treated heart (Fig. 2A, bottom). Overall, VEGF increased the inci-
dence of burst pacing-induced atrial arrhythmias in dose-dependent fashion (Fig. 2A,B; Supplementary Fig. 3).
Next, we assessed the acute impact of VEGF on atrial arrhythmia risk in vivo. Promotion of arrhythmic trig-
gers via caffeine and epinephrine challenge elicited atrial arrhythmias in VEGF-treated mice but not in untreated
controls (Fig. 2C,D; Supplementary Fig. 4). Taken together, these data suggest that conduction slowing increases
the risk of atrial arrhythmias.
VEGF does not acutely alter expression of key ID proteins.
In order to determine the structural
basis of VEGF-induced atrial arrhythmias, we assessed the expression of key ID proteins. Western immunoblot-
ting revealed no significant difference in the levels of Na+ channel subunits (NaV1.5, β1), the gap junction protein
Cx43, or the mechanical junction protein, N-cad between VEGF-treated (high dose) hearts and untreated con-
trols (Supplementary Fig. 5). Expression of the gap junction protein Cx40 was slightly elevated in VEGF-treated
hearts. Increased Cx40 expression could enhance GJ coupling, although the small change observed is unlikely to
have appreciable functional impact. In any case, changes in ID protein expression cannot explain VEGF-induced
conduction slowing and proarrhythmia.
ID structural remodeling following acute VEGF insult. Previous studies link cardiac interstitial
edema to ultrastructural remodeling within the ID, specifically, increased intermembrane distance near GJ. Sim-
ilar changes have also been reported in AF patients26. Therefore, we performed transmission electron micros-
copy (TEM) to assess the acute effects of VEGF on ID structure. Representative TEM images show narrow
intermembrane spacing at GJ- and MJ-adjacent sites in untreated control hearts, and marked widening at these
sites following VEGF treatment (Fig. 3A). Overall, both low and high doses of VEGF significantly increased
intermembrane distances at GJ- and MJ-adjacent sites compared to untreated controls (Fig. 3B). The swelling
occurred in dose-dependent fashion at GJ-adjacent perinexi but not near MJ.
ID proteins undergo reorganization following acute VEGF treatment. Next, we performed super-
resolution microscopy studies to assess the effects VEGF on ID molecular organization. As a first step, we used
sDC imaging (130 nm resolution) to examine the overall layout of key proteins within the murine atrial ID.
Although lacking the resolution of other super-resolution imaging methods such as STED and STORM, sDCI
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Vol.:(0123456789)www.nature.com/scientificreports/Figure 3. VEGF effects on ID ultrastructure. (A) Representative TEM images of IDs. (B) Summary plots of
intermembrane distance at GJ-adjacent perinexal sites (solid bars) and MJ-adjacent (striped bars) ID sites (> 100
measurements/group/location from n = 3 hearts/group, *p < 0.05 vs. control).
offers greater capability for multicolor imaging. Therefore, we used sDCI to examine the organization of sodium
channel α (NaV1.5) and β (β1) subunits relative to GJ (Cx40, Cx43) and MJ (N-cad) proteins (Fig. 4).
Both connexin isoforms predominantly expressed in the atria, Cx40 and Cx43, displayed similar patterns of
localization (Fig. 4A,B), suggesting that either isoform could be used as a marker for atrial GJs. N-cad immu-
nosignal was localized to distinct ID regions compared to Cx40, Cx43, with very little co-localization. These
results are consistent with the enrichment of GJ and MJ within interplicate and plicate ID regions respectively.
Representative sDCI images (Fig. 4C,D) illustrate an ID in en face orientation from a murine atrial section labeled
for NaV1.5, β1, Cx43 and N-cad. NaV1.5 and β1 were distributed extensively throughout the ID.
Having established the overall layout of Na+ channel components within the atrial ID, we switched to higher
resolution techniques to assess the effects of VEGF-induced vascular leak on their localization. Three dimen-
sional en face views of IDs from control hearts obtained by STED microscopy (25 nm resolution) reveal extensive
clustering of NaV1.5 throughout the ID, particularly in close proximity to Cx43 clusters and at N-cad-rich sites
(Fig. 5A, top). In VEGF-treated hearts, NaV1.5 clusters appeared fragmented, were located further from Cx43
clusters, and co-distributed less with N-cad (Fig. 5A, bottom). Similar to NaV1.5, β1 was also organized into clus-
ters in control hearts, and was found in close proximity to Cx43 clusters (Fig. 5B, top). However, unlike NaV1.5,
β1 displayed very little co-distribution with N-cad. In VEGF-treated hearts, β1 clusters appeared more diffuse
and were distributed farther away from Cx43 clusters (Fig. 5B, bottom). Quantitative analysis by object-based
segmentation was used to calculate NaV1.5 and β1 signal enrichment ratio, defined as the ratio of NaV1.5 / β1
immunosignal cluster mass (volume x normalized intensity) at sites near (< 100 nm away) Cx43 and N-cad vs.
the signal cluster mass at other ID sites. Overall, we observed significant enrichment of NaV1.5 immunosignal
near (< 100 nm) Cx43 and N-cad, and β1 near Cx43 in control hearts (Fig. 6). VEGF-treatment significantly
decreased NaV1.5 and β1 enrichment ratio near Cx43, while NaV1.5 also trended towards a decrease at N-cad-
rich sites. These results suggest that VEGF-induced vascular leak induces acute nanoscale reorganization of
NaV1.5 and β1 within the ID.
Despite its high resolution, STED microscopy still has limited ability to assess protein density. In any fluores-
cence image, intensity is determined by a combination of the density of fluorescently-labeled proteins and the
number of photons emitted by each. In order to obtain orthogonal validation of the STED results and overcome
this limitation, we turned to STORM single molecule localization microscopy and STORM-RLA machine learn-
ing-based cluster analysis. By localizing individual molecules, STORM offers the unique ability to assess relative
differences in protein density between different ID regions. Representative three-dimensional en face views of
atrial IDs obtained by STORM show dense clusters of NaV1.5 occurring in close proximity to Cx43 and within
N-cad-rich regions in control hearts (Fig. 7A,B). In VEGF-treated hearts, NaV1.5 clusters appeared more diffuse
and were shifted away from Cx43 and N-cad clusters (Fig. 7C,D). In contrast, β1 was preferentially localized
near Cx43 clusters and throughout N-cad-free ID regions in control hearts (Fig. 8A,B). In VEGF-treated hearts,
β1 clusters appeared further from Cx43 clusters (Fig. 8). Close-up views of Cx43 clusters and associated NaV1.5
clusters supported these findings (Fig. 9A,B). STORM data were quantitatively analyzed using STORM-RLA to
determine the percent of total NaV1.5/β1 signal at the ID, which was localized within Cx43-adjacent perinexal
sites (≤ 100 nm from Cx43 clusters; Fig. 9C,E) and at N-cad-rich plicate ID sites (Fig. 9D,E). Additionally, signal
enrichment ratio, defined as the ratio of NaV1.5/β1 molecular density at these sites vs. the density at other ID
sites was also calculated. In control hearts, 59 ± 2% of NaV1.5 was localized within Cx43-adjacent perinexal
sites (enrichment ratio: 10.5 ± 0.3) and 35 ± 2% within N-cad-rich plicate ID sites (enrichment ratio: 6.5 ± 0.4).
In contrast, β1 displayed a marked preference for Cx43-adjacent perinexal sites (69 ± 4% of ID-localized β1,
enrichment ratio: 10.7 ± 1.9) in comparison to N-cad-rich plicate ID sites (14 ± 3% of ID-localized β1). In VEGF
treated hearts, NaV1.5 density was significantly reduced at both Cx43-adjacent perinexal sites (32 ± 3% of sig-
nal, enrichment ratio: 6.9 ± 0.8) and N-cad-rich plicate ID sites (26 ± 3% of signal, enrichment ratio: 4.6 ± 0.4).
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Vol:.(1234567890)www.nature.com/scientificreports/Figure 4. sDCI imaging of IDs. Representative 3D sDCI images of en face IDs from murine atria
immunolabeled for (A, B) NaV1.5, Cx40, Cx43, and N-cad, and (C, D) NaV1.5, β1, Cx43, and N-cad.
Likewise, β1 density was also reduced at Cx43-adjacent perinexal sites (49 ± 3% of signal, enrichment ratio:
5.4 ± 0.7) without significant changes at N-cad-rich plicate ID sites. Overall, the STORM-RLA results indicated
dynamic reorganization of ID-localized NaV1.5 and β1 following VEGF treatment.
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Vol.:(0123456789)www.nature.com/scientificreports/Figure 5. STED imaging of atrial IDs. Representative 3D STED images of en face IDs from VEGF-treated and
control murine atria immunolabeled for (A) NaV1.5 and (B) β1 along with Cx43 and N-cad.
Figure 6. OBS3D analysis of STED images. (A) Bivariate histograms of NaV1.5 cluster mass (normalized
intensity summed over the cluster) as a function of distance from Cx43 clusters. These provide representative
examples of intermediate steps in image analysis involved in assessing enrichment ratios, calculated as the ratio
of NaV1.5/β1 immunosignal cluster mass (volume x normalized intensity) at sites near (< 100 nm away) Cx43
(GJ) and N-cad (MJ) clusters vs. the signal cluster mass at other ID sites. (B) Summary plots of enrichment ratio
(n = 3 hearts/group, 3 images/heart; *p < 0.05 vs. control).
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Vol:.(1234567890)www.nature.com/scientificreports/Figure 7. STORM imaging of atrial IDs—NaV1.5. Representative 3D STORM images of en face IDs
immunolabeled for NaV1.5 along with Cx43 and N-cad from (A, B) control and (C, D) VEGF-treated murine
atria. STORM data are rendered as point clouds with each localized molecule represented as a 50 nm sphere.
Although 20 nm resolution was achieved, the 50 nm size was chosen for rendering to guarantee visibility in
print.
Figure 8. STORM imaging of atrial IDs—β1. Representative 3D STORM images of en face IDs immunolabeled
for β1 along with Cx43 and N-cad from (A, B) control and (C, D) VEGF-treated murine atria.
Discussion
Patients with new-onset AF show elevated levels of VEGF3–6,45, a cytokine that promotes vascular leak. Indeed,
inflammation, vascular leak, and associated tissue edema are common sequelae of AF2–8, and are emerging as
proarrhythmic factors. In previous studies in the ventricles, myocardial edema acutely (within minutes) disrupted
ID nanodomains, slowed conduction, and precipitated arrhythmias22–24. Interestingly, patients with AF also
evidence swelling of ID nanodomains26 and conduction slowing has been linked to AF in human patients43,44.
However, the mechanism by which tissue edema due to vascular leak precipitates AF is unknown. Therefore, we
tested the hypothesis that VEGF may acutely promote atrial arrhythmias by disrupting ID nanodomains and
compromising atrial conduction (Fig. 10). Here, we demonstrate that VEGF insult acutely induces ID nanodo-
main swelling and translocation of sodium channel subunits from these sites, likely generating a substrate for
slowed atrial conduction, and atrial arrhythmias.
Cytokines such as VEGF, which induce vascular leak, have been shown to have a multitude of other impacts,
including directly reducing the expression of Cx43 in cardiac myocytes46–51. In contrast, our Western blots indi-
cated no change in the expression of Cx43 or Na+ channel subunits, and a slight increase in Cx40 expression fol-
lowing acute VEGF insult. The apparent divergence of our results from the aforementioned studies may reflect the
much longer time courses (> 4 h) involved in those compared to our study (< 1 h). Overall, our data suggest that
reduced expression of ID proteins cannot explain the rapid proarrhythmic impact of VEGF in our experiments.
In previous studies, acute interstitial edema induced swelling of the perinexus, a GJ-adjacent ID nanodomain,
and brought about conduction slowing and spontaneous arrhythmias within 10 min22–24. Likewise, George et al.
demonstrated elevated extracellular volume, ID nanodomain swelling, and conduction slowing during acute
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Vol.:(0123456789)www.nature.com/scientificreports/Figure 9. STORM-RLA analysis of NaV1.5, β1 localization. Representative 3D STORM images of a Cx43 cluster
and associated NaV1.5 clusters from (A) control and (B) VEGF-treated murine atria. (C, D) Bivariate histograms
of NaV1.5 cluster density as a function of distance from Cx43 clusters. Dashed circles highlight the decrease in
NaV1.5 clusters located near Cx43. (E) Summary plots of STORM-RLA results. Left: % of ID-localized NaV1.5
and β1 located within 100 nm of Cx43 (GJ) and N-cad (MJ) clusters. Right: Enrichment ratio, calculated as the
ratio of NaV1.5/β1 cluster density within 100 nm of Cx43 (GJ) and N-cad (MJ) clusters to NaV1.5/β1 cluster
density at other ID sites (n = 3 hearts/group, 10 images/heart; *p < 0.05 vs. control).
Figure 10. Proposed mechanism for the genesis and progression of AF. Elevated VEGF levels in AF
patients increase vascular leak, in turn promoting cardiac edema. The resulting disruption of NaV1.5-rich ID
nanodomains slows atrial conduction, thereby providing a substrate for further atrial arrhythmias.
inflammatory response (90 min of exposure to pathophysiological levels of TNFα)21. Consistent with these, our
TEM studies identified significant swelling of ID nanodomains (near both GJs and MJs) following VEGF treat-
ment. Taken together, these results suggest that ID nanodomain swelling may contribute to atrial arrhythmias
following acute VEGF insult. Notably, the ultrastructural impact of VEGF in our experiments closely corresponds
with observations from human AF patients26.
A concomitant impact during acute swelling of ID nanodomains, suggested by previous work, is the transloca-
tion of sodium channels from these sites25. Perinexal swelling was found to decrease local INa density near GJs,
albeit without any change in whole-cell INa and was sufficient to induce proarrhythmic conduction slowing. These
results suggest that the precise localization of sodium channels within the ID may be an important determinant of
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Vol:.(1234567890)www.nature.com/scientificreports/cardiac electrical propagation. Therefore, we used super-resolution microscopy to test whether VEGF-induced ID
remodeling included any reorganization of sodium channel proteins. Overall, STED and STORM both identified
NaV1.5 enrichment near Cx43 clusters as well as at N-cad-rich sites, consistent with previous reports22,23,25,30,52.
In contrast, β1 was preferentially localized near Cx43 and predominantly within N-cad-free ID sites, again in
keeping with previous data25. These data suggest that NaV1.5 at N-cad-rich sites may associate with a different β
subunit, an idea which merits future investigation. Importantly, both STED and STORM images revealed changes
consistent with decreased NaV1.5 near GJs and MJs in VEGF-treated hearts relative to controls. Quantitative
analysis of STED and STORM data revealed a substantial depletion of NaV1.5 from GJ-adjacent perinexal sites,
and to a somewhat lesser degree, also from MJ-adjacent sites. Likewise, VEGF treatment also decreased β1 density
at GJ-adjacent sites. Overall, these data, along with previously published results25, suggest that local INa density
at GJ- and MJ- adjacent sites might be decreased following acute VEGF insult. Taken in the context of our TEM
results, these data suggest that intermembrane adhesion within ID nanodomains may play a role in retaining
sodium channels at these sites. Inhibition of adhesive interactions may enhance lateral diffusion of ion channels
within the membrane, resulting in their dispersal from dense clusters. While further research will be required
to uncover the precise mechanism by which nanodomain swelling induces sodium channel translocation, we
provide here the first direct demonstration of this dynamic remodeling phenomenon.
Taken together, our light and electron microscopy results identify two forms of dynamic ID remodeling fol-
lowing acute exposure to VEGF: (1) swelling of the extracellular cleft near GJs and MJs, and (2) translocation of
NaV1.5, wherein dense NaV1.5 clusters located near GJs and MJs are redistributed more diffusely. These changes
could impair atrial conduction via two, non-mutually exclusive mechanisms: (1) Direct effects on membrane
excitability via cooperative activation. The earliest activating NaV1.5 channels promote positive feedback acti-
vation of further NaV1.5 channels, when these channels are tightly clustered, and face a restricted extracellular
cleft53,54. NaV1.5 translocation away from dense clusters into a more diffuse pattern would weaken this effect, and
could thereby compromise excitability. (2) Indirect effects on intercellular coupling via ephaptic coupling: When
dense NaV1.5 clusters from adjacent cells face each other across a narrow (< 30 nm) extracellular cleft, channel
activation on one side prompts transient depletion of sodium (positive charge) from the cleft, and subsequent
depolarization of the apposed cell’s membrane, activating its NaV1.5 channels55–58. Both nanodomain swelling
and the more diffuse reorganization of NaV1.5 would weaken local electrochemical transients within ID nano-
domains, and could thereby impair atrial conduction22,23,25,59–61. Notably, based on their structural properties,
both perinexi and plicate nanodomains would support cooperative activation but only perinexi are predicted
to support ephaptic coupling59,62. However, since VEGF impacted both locations simultaneously, our results do
not delineate the relative contributions of the two mechanisms, or indeed of the two different ID nanodomains.
While future work will be required to answer these mechanistic questions, the totality of structural and func-
tional results indicate that VEGF can acutely induce proarrhythmic conduction slowing, and likely does so by
disrupting ID nanodomains (Fig. 10).
Our results, identifying acute remodeling of ID nanodomains as an arrhythmia mechanism, have important
implications for our broader understanding of arrhythmia substrates. Classically, structural arrhythmia substrates
are viewed as being permanent (e.g. an infarct), while functional substrates are thought to be dynamic (e.g. a line
of block resulting from repolarization heterogeneities). However, vascular leak-induced edema and consequent
nanodomain remodeling, as demonstrated here, may represent a dynamic and transient structural arrhythmic
substrate. This may contribute to the intermittent nature of arrhythmias in pathologies such as AF in the early
stages. The results presented here also have important implications for the treatment of AF. First, they suggest
that therapies which mitigate cytokine-induced vascular leak may be effective in preventing atrial arrhythmias.
Second, they suggest that direct targeting of ID nanodomains to prevent swelling and sodium channel transloca-
tion could also be an effective antiarrhythmic strategy.
Limitations. VEGF’s impact on the heart is multi-factorial in nature, involving direct effects on cardiac
myocytes as well as effects on non-myocyte cells. These include effects on GJs, which could contribute to con-
duction slowing46–51. Although our Western blot analysis did not identify any decrease in Cx40 or Cx43 expres-
sion, functional GJ coupling may have been impacted without altering overall protein expression. However,
VEGF’s effects on GJs have been demonstrate to occur over much longer time courses (> 4 h) than those involved
in the present study (< 4 h). Intermembrane spacing measured by TEM may have been impacted the effects
of glutaraldehyde fixation on tissue63. However, such effects would uniformly impact all samples and do not
detract from the observation that VEGF increases intermembrane spacing near GJs and MJs. Super-resolution
microscopy revealed translocation of NaV1.5 from ID nanodomains, occurring in conjunction with increase in
intermembrane spacing. While our data link these effects to arrhythmogenic conduction slowing, the inability
to separate these two effects experimentally precludes delineation of their relative impacts on conduction. While
this merits future investigation using experimental and modeling approaches, our data indicate that remodeling
of ID nanodomains secondary to VEGF-induced vascular leak is acutely proarrhythmic.
Conclusion
In summary, we demonstrate that VEGF, at levels occurring in AF patients, can acutely increase susceptibility to
atrial arrhythmias. We provide, to our knowledge, the first evidence that sodium channel clusters at the ID can
undergo dynamic reorganization. Importantly, we identify a novel mechanism for atrial arrhythmias, wherein
dynamic disruption of ID nanodomains, secondary to VEGF-induced vascular leak, induces proarrhythmic slow-
ing of atrial conduction. This mechanism may contribute to the genesis and progression of AF in the early stages
and help explain the link between inflammation and AF. Our work identifies vascular leak and ID nanodomains
are potential therapeutic targets for the treatment and prevention of AF in the early stages.
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Vol.:(0123456789)www.nature.com/scientificreports/Data availability
All data generated and analyzed during the present study are available upon request from the corresponding
author upon reasonable request.
Received: 22 April 2020; Accepted: 9 November 2020
References
1. Zoni-Berisso, M., Lercari, F., Carazza, T. & Domenicucci, S. Epidemiology of atrial fibrillation: European perspective. Clin. Epi-
demiol. 6, 213–220. https ://doi.org/10.2147/CLEP.S4738 5 (2014).
2. Weis, S. M. Vascular permeability in cardiovascular disease and cancer. Curr. Opin. Hematol. 15, 243–249. https ://doi.org/10.1097/
MOH.0b013 e3282 f97d8 6 (2008).
3. Li, J. et al. Role of inflammation and oxidative stress in atrial fibrillation. Heart Rhythm Off. J. Heart Rhythm Soc. 7, 438–444. https
://doi.org/10.1016/j.hrthm .2009.12.009 (2010).
4. Ogi, H. et al. Is structural remodeling of fibrillated atria the consequence of tissue hypoxia?. Circul. J. Off. J. Jpn. Circul. Soc. 74,
1815–1821 (2010).
5. Scridon, A. et al. Increased intracardiac vascular endothelial growth factor levels in patients with paroxysmal, but not persistent
atrial fibrillation. Europace 14, 948–953. https ://doi.org/10.1093/europ ace/eur41 8 (2012).
6. Seko, Y., Nishimura, H., Takahashi, N., Ashida, T. & Nagai, R. Serum levels of vascular endothelial growth factor and transforming
growth factor-beta1 in patients with atrial fibrillation undergoing defibrillation therapy. Jpn. Heart J. 41, 27–32 (2000).
7. Gramley, F. et al. Atrial fibrillation is associated with cardiac hypoxia. Cardiovasc. Pathol. 19, 102–111. https ://doi.org/10.1016/j.
carpa th.2008.11.001 (2010).
8. Chung, N. A. et al. Is the hypercoagulable state in atrial fibrillation mediated by vascular endothelial growth factor?. Stroke 33,
2187–2191 (2002).
9. Sukriti, S., Tauseef, M., Yazbeck, P. & Mehta, D. Mechanisms regulating endothelial permeability. Pulm. Circ. 4, 535–551. https ://
doi.org/10.1086/67735 6 (2014).
10. Kimura, T. et al. Serum inflammation markers predicting successful initial catheter ablation for atrial fibrillation. Heart Lung Circ.
23, 636–643. https ://doi.org/10.1016/j.hlc.2014.02.003 (2014).
11. Bertoluci, M. C. et al. Endothelial dysfunction as a predictor of cardiovascular disease in type 1 diabetes. World J. Diabetes 6,
679–692. https ://doi.org/10.4239/wjd.v6.i5.679 (2015).
12. de Zeeuw, D., Parving, H. H. & Henning, R. H. Microalbuminuria as an early marker for cardiovascular disease. J. Am. Soc. Nephrol.
17, 2100–2105. https ://doi.org/10.1681/ASN.20060 50517 (2006).
13. Montezano, A. C. et al. Oxidative stress and human hypertension: vascular mechanisms, biomarkers, and novel therapies. Can. J.
Cardiol. 31, 631–641. https ://doi.org/10.1016/j.cjca.2015.02.008 (2015).
14. Amano, Y. et al. T2-weighted cardiac magnetic resonance imaging of edema in myocardial diseases. Sci. World J. 2012, 194069.
https ://doi.org/10.1100/2012/19406 9 (2012).
15. Boyle, A., Maurer, M. S. & Sobotka, P. A. Myocellular and interstitial edema and circulating volume expansion as a cause of mor-
bidity and mortality in heart failure. J. Cardiac. Fail. 13, 133–136 (2007).
16. White, S. K. et al. Remote ischemic conditioning reduces myocardial infarct size and edema in patients with ST-segment elevation
myocardial infarction. JACC Cardiovasc. Interv. 8, 178–188. https ://doi.org/10.1016/j.jcin.2014.05.015 (2015).
17. Zia, M. I. et al. Comparison of the frequencies of myocardial edema determined by cardiac magnetic resonance in diabetic versus
nondiabetic patients having percutaneous coronary intervention for ST elevation myocardial infarction. Am. J. Cardiol. 113,
607–612. https ://doi.org/10.1016/j.amjca rd.2013.10.040 (2014).
18. Migliore, F., Zorzi, A., Perazzolo Marra, M., Iliceto, S. & Corrado, D. Myocardial edema as a substrate of electrocardiographic
abnormalities and life-threatening arrhythmias in reversible ventricular dysfunction of takotsubo cardiomyopathy: imaging evi-
dence, presumed mechanisms, and implications for therapy. Heart Rhythm Off. J. Heart Rhythm Soc. https ://doi.org/10.1016/j.
hrthm .2015.04.041 (2015).
19. Neilan, T. G. et al. Myocardial extracellular volume expansion and the risk of recurrent atrial fibrillation after pulmonary vein
isolation. JACC Cardiovasc. Imaging 7, 1–11. https ://doi.org/10.1016/j.jcmg.2013.08.013 (2014).
20. Arujuna, A. et al. Acute pulmonary vein isolation is achieved by a combination of reversible and irreversible atrial injury after cath-
eter ablation: evidence from magnetic resonance imaging. Circul. Arrhythmia Electrophysiol. 5, 691–700. https ://doi.org/10.1161/
CIRCE P.111.96652 3 (2012).
21. George, S. A., Calhoun, P. J., Gourdie, R. G., Smyth, J. W. & Poelzing, S. TNFalpha modulates cardiac conduction by altering
electrical coupling between myocytes. Front. Physiol. 8, 334. https ://doi.org/10.3389/fphys .2017.00334 (2017).
22. Veeraraghavan, R. et al. Sodium channels in the Cx43 gap junction perinexus may constitute a cardiac ephapse: an experimental
and modeling study. Pflugers Arch. 467, 2093–2105. https ://doi.org/10.1007/s0042 4-014-1675-z (2015).
23. Veeraraghavan, R., Lin, J., Keener, J. P., Gourdie, R. & Poelzing, S. Potassium channels in the Cx43 gap junction perinexus modulate
ephaptic coupling: an experimental and modeling study. Pflugers Arch. 468, 1651–1661. https ://doi.org/10.1007/s0042 4-016-1861-2
(2016).
24. Veeraraghavan, R., Salama, M. E. & Poelzing, S. Interstitial volume modulates the conduction velocity-gap junction relationship.
Am. J. Physiol. Heart Circul. Physiol. 302, H278–H286 (2012).
25. Veeraraghavan, R. et al. The adhesion function of the sodium channel beta subunit (beta1) contributes to cardiac action potential
propagation. Elife https ://doi.org/10.7554/eLife .37610 (2018).
26. Raisch, T. B. et al. Intercalated disc extracellular nanodomain expansion in patients with atrial fibrillation. Front. Physiol. 9, 398
(2018).
27. Radwanski, P. B. et al. Neuronal Na+ channel blockade suppresses arrhythmogenic diastolic Ca2+ release. Cardiovasc. Res. 106,
143–152. https ://doi.org/10.1093/cvr/cvu26 2 (2015).
28. Radwanski, P. B., Veeraraghavan, R. & Poelzing, S. Cytosolic calcium accumulation and delayed repolarization associated with
ventricular arrhythmias in a guinea pig model of Andersen-Tawil syndrome. Heart Rhythm Off. J. Heart Rhythm Soc. 7, 1428–1435
(2010).
29. Veeraraghavan, R. & Poelzing, S. Mechanisms underlying increased right ventricular conduction sensitivity to flecainide challenge.
Cardiovasc. Res. 77, 749–756 (2008).
30. Veeraraghavan, R. & Gourdie, R. Stochastic optical reconstruction microscopy-based relative localization analysis (STORM-RLA)
for quantitative nanoscale assessment of spatial protein organization. Mol. Biol. Cell 27, 3583–3590. https ://doi.org/10.1091/mbc.
E16-02-0125 (2016).
31. Girouard, S. D., Laurita, K. R. & Rosenbaum, D. S. Unique properties of cardiac action potentials recorded with voltage-sensitive
dyes. J. Cardiovasc. Electrophysiol. 7, 1024–1038 (1996).
32. Bayly, P. V. et al. Estimation of conduction velocity vector fields from epicardial mapping data. IEEE Trans. Bio-med. Eng. 45,
563–571 (1998).
Scientific Reports | (2020) 10:20463 |
https://doi.org/10.1038/s41598-020-77562-5
12
Vol:.(1234567890)www.nature.com/scientificreports/ 33. Greer-Short, A. et al. Calmodulin kinase II regulates atrial myocyte late sodium current, calcium handling, and atrial arrhythmia.
Heart Rhythm Off. J. Heart Rhythm Soc. 17, 503–511. https ://doi.org/10.1016/j.hrthm .2019.10.016 (2020).
34. Aschar-Sobbi, R. et al. Increased atrial arrhythmia susceptibility induced by intense endurance exercise in mice requires TNFalpha.
Nat. Commun. 6, 6018. https ://doi.org/10.1038/ncomm s7018 (2015).
35. Koleske, M. et al. Tetrodotoxin-sensitive Navs contribute to early and delayed afterdepolarizations in long QT arrhythmia models.
J. Gener. Physiol. https ://doi.org/10.1085/jgp.20171 1909 (2018).
36. Struckman, H. L. et al. Super-resolution imaging using a novel high-fidelity antibody reveals close association of the neuronal
sodium channel NaV1.6 with ryanodine receptors in cardiac muscle. Microsc. Microanal. https ://doi.org/10.1017/S1431 92761
90152 89 (2020).
37. Radwański, P. B. et al. Neuronal Na+ channels are integral components of pro-arrhythmic Na+/Ca2+ signaling nanodomain that
promotes cardiac arrhythmias during β-adrenergic stimulation. JACC Basic Transl. Sci. 1, 251–266. https ://doi.org/10.1016/j.jacbt
s.2016.04.004 (2016).
38. Lam, F., Cladiere, D., Guillaume, C., Wassmann, K. & Bolte, S. Super-resolution for everybody: an image processing workflow
to obtain high-resolution images with a standard confocal microscope. Methods 115, 17–27. https ://doi.org/10.1016/j.ymeth
.2016.11.003 (2017).
39. Bonilla, I. M. et al. Enhancement of cardiac store operated calcium entry (SOCE) within novel intercalated disk microdomains in
arrhythmic disease. Sci. Rep. 9, 10179. https ://doi.org/10.1038/s4159 8-019-46427 -x (2019).
40. Kleber, A. G. & Rudy, Y. Basic mechanisms of cardiac impulse propagation and associated arrhythmias. Physiol. Rev. 84, 431–488
(2004).
41. Kleber, A. G. Discontinuous propagation of the cardiac impulse and arrhythmogenesis. J. Cardiovasc. Electrophysiol. 10, 1025–1027
(1999).
42. Radwanski, P. B., Johnson, C. N., Gyorke, S. & Veeraraghavan, R. Cardiac arrhythmias as manifestations of nanopathies: an emerg-
ing view. Front. Physiol. 9, 1228. https ://doi.org/10.3389/fphys .2018.01228 (2018).
43. Zheng, Y., Xia, Y., Carlson, J., Kongstad, O. & Yuan, S. Atrial average conduction velocity in patients with and without paroxysmal
atrial fibrillation. Clin. Physiol. Funct. Imaging 37, 596–601. https ://doi.org/10.1111/cpf.12342 (2017).
44. Lalani, G. G. et al. Atrial conduction slows immediately before the onset of human atrial fibrillation: a bi-atrial contact mapping
study of transitions to atrial fibrillation. J. Am. Coll. Cardiol. 59, 595–606. https ://doi.org/10.1016/j.jacc.2011.10.879 (2012).
45. Smorodinova, N. et al. Bioptic study of left and right atrial interstitium in cardiac patients with and without atrial fibrillation:
interatrial but not rhythm-based differences. PLoS ONE 10, e0129124. https ://doi.org/10.1371/journ al.pone.01291 24 (2015).
46. Dhein, S., Polontchouk, L., Salameh, A. & Haefliger, J. A. Pharmacological modulation and differential regulation of the cardiac
gap junction proteins connexin 43 and connexin 40. Biol. Cell 94, 409–422 (2002).
47. Pimentel, R. C., Yamada, K. A., Kleber, A. G. & Saffitz, J. E. Autocrine regulation of myocyte Cx43 expression by VEGF. Circ. Res.
90, 671–677 (2002).
48. Fernandez-Cobo, M., Gingalewski, C., Drujan, D. & De Maio, A. Downregulation of connexin 43 gene expression in rat heart
during inflammation. The role of tumour necrosis factor. Cytokine 11, 216–224. https ://doi.org/10.1006/cyto.1998.0422 (1999).
49. Herve, J. C. & Dhein, S. Pharmacology of cardiovascular gap junctions. Adv. Cardiol. 42, 107–131. https ://doi.org/10.1159/00009
2565 (2006).
50. Salameh, A. et al. Chronic regulation of the expression of gap junction proteins connexin40, connexin43, and connexin45 in
neonatal rat cardiomyocytes. Eur. J. Pharmacol. 503, 9–16. https ://doi.org/10.1016/j.ejpha r.2004.09.024 (2004).
51. Sawaya, S. E. et al. Downregulation of connexin40 and increased prevalence of atrial arrhythmias in transgenic mice with cardiac-
restricted overexpression of tumor necrosis factor. Am. J. Physiol. Heart Circul. Physiol. 292, H1561-1567. https ://doi.org/10.1152/
ajphe art.00285 .2006 (2007).
52. Leo-Macias, A. et al. Nanoscale visualization of functional adhesion/excitability nodes at the intercalated disc. Nat. Commun. 7,
10342. https ://doi.org/10.1038/ncomm s1034 2 (2016).
53. Hichri, E., Abriel, H. & Kucera, J. P. Distribution of cardiac sodium channels in clusters potentiates ephaptic interactions in the
intercalated disc. J. Physiol. https ://doi.org/10.1113/JP275 351 (2017).
54. Clatot, J. et al. Voltage-gated sodium channels assemble and gate as dimers. Nat. Commun. 8, 2077. https ://doi.org/10.1038/s4146
7-017-02262 -0 (2017).
55. Veeraraghavan, R., Gourdie, R. & Poelzing, S. Mechanisms of cardiac conduction: a history of revisions. Am. J. Physiol. Heart
Circul. Physiol. https ://doi.org/10.1152/ajphe art.00760 .2013 (2014).
56. Veeraraghavan, R., Poelzing, S. & Gourdie, R. G. Old cogs, new tricks: a scaffolding role for connexin43 and a junctional role for
sodium channels?. FEBS Lett. https ://doi.org/10.1016/j.febsl et.2014.01.026 (2014).
57. Veeraraghavan, R., Poelzing, S. & Gourdie, R. G. Intercellular electrical communication in the heart: a new, active role for the
intercalated disk. Cell Commun. Adhes. https ://doi.org/10.3109/15419 061.2014.90593 2 (2014).
58. Veeraraghavan, R. & Radwanski, P. B. Sodium channel clusters: harmonizing the cardiac conduction orchestra. J. Physiol. 596,
549–550. https ://doi.org/10.1113/JP275 632 (2018).
59. Mori, Y., Fishman, G. I. & Peskin, C. S. Ephaptic conduction in a cardiac strand model with 3D electrodiffusion. Proc. Natl. Acad.
Sci. U.S.A. 105, 6463–6468 (2008).
60. Kucera, J. P., Rohr, S. & Rudy, Y. Localization of sodium channels in intercalated disks modulates cardiac conduction. Circ. Res.
91, 1176–1182 (2002).
61. Lin, J. & Keener, J. P. Modeling electrical activity of myocardial cells incorporating the effects of ephaptic coupling. Proc. Natl.
Acad. Sci. U.S.A. 107, 20935–20940 (2010).
62. Lin, J. & Keener, J. P. Ephaptic coupling in cardiac myocytes. IEEE Trans. Bio-med. Eng. 60, 576–582 (2013).
63. Raisch, T., Khan, M. & Poelzing, S. Quantifying intermembrane distances with serial image dilations. J. Vis. Exp. JoVE https ://doi.
org/10.3791/58311 (2018).
Author contributions
L.M. conducted the majority of the experiments, performed data analysis, prepared figures, and wrote, revised
and edited the manuscript. H.L.S. performed confocal microscopy experiments and assisted with optical map-
ping studies. A.G.S. performed the optical mapping experiments and helped with data analysis. S.B. performed
the immunoblotting studies. S.G. helped with hypothesis development and data interpretation, and helped with
manuscript editing. P.B.R. helped with electrocardiography studies, hypothesis development and data interpreta-
tion, and helped with manuscript editing. T.J.H. helped with optical mapping experiments, hypothesis develop-
ment, data interpretation and manuscript preparation and editing. R.V. conceived the study, oversaw experiments,
performed image analysis, manuscript writing, revision, and editing. All authors reviewed the manuscript.
Scientific Reports | (2020) 10:20463 |
https://doi.org/10.1038/s41598-020-77562-5
13
Vol.:(0123456789)www.nature.com/scientificreports/Funding
This work was supported by the National Institutes of Health [R01HL148736 awarded to RV, R01HL063043
and R01HL074045 awarded to S.G, and R01HL135096 and R01HL134824 to TJH] and the American Heart
Association [16SDG29870007 awarded to RV, 19TPA34910191 to PBR, and Postdoctoral fellowship to AGS].
Competing interests
The authors declare no competing interests.
Additional information
Supplementary information is available for this paper at https ://doi.org/10.1038/s4159 8-020-77562 -5.
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| null |
10.1073_pnas.2304611120.pdf
|
Data, Materials, and Software Availability. Structure factors and refined
coordinates obtained from X- ray crystallography have been deposited into the
Protein Data Bank (www.wwpdb.org) under PDB accession codes: 8SSP (72)
(AurA- danusertib- Mb1), 8SSO (73) (AurA- danusertib- Mb2), and 8SSN (74)
(Abl64– 510-SKI- ascimi
| null |
RESEARCH ARTICLE |
BIOCHEMISTRY
OPEN ACCESS
A biophysical framework for double- drugging kinases
Chansik Kima,b,1
, Adelajda Hadzipasica,b,2, Steffen Kuttera,b,3, Vy Nguyena,b,4, and Dorothee Kerna,b,5
, Hannes Ludewiga,b
Edited by Melanie Cobb, The University of Texas Southwestern Medical Center, Dallas, TX; received March 26, 2023; accepted July 6, 2023
Selective orthosteric inhibition of kinases has been challenging due to the conserved active
site architecture of kinases and emergence of resistance mutants. Simultaneous inhibition
of distant orthosteric and allosteric sites, which we refer to as “double- drugging”, has
recently been shown to be effective in overcoming drug resistance. However, detailed
biophysical characterization of the cooperative nature between orthosteric and allosteric
modulators has not been undertaken. Here, we provide a quantitative framework for
double- drugging of kinases employing isothermal titration calorimetry, Förster resonance
energy transfer, coupled- enzyme assays, and X- ray crystallography. We discern positive
and negative cooperativity for Aurora A kinase (AurA) and Abelson kinase (Abl) with
different combinations of orthosteric and allosteric modulators. We find that a confor-
mational equilibrium shift is the main principle governing cooperativity. Notably, for
both kinases, we find a synergistic decrease of the required orthosteric and allosteric
drug dosages when used in combination to inhibit kinase activities to clinically relevant
inhibition levels. X- ray crystal structures of the double- drugged kinase complexes reveal
the molecular principles underlying the cooperative nature of double- drugging AurA and
Abl with orthosteric and allosteric inhibitors. Finally, we observe a fully closed confor-
mation of Abl when bound to a pair of positively cooperative orthosteric and allosteric
modulators, shedding light on the puzzling abnormality of previously solved closed Abl
structures. Collectively, our data provide mechanistic and structural insights into rational
design and evaluation of double- drugging strategies.
kinase | conformational equilibrium | cooperativity | double- drugging
Protein allostery is one of the fundamental regulatory mechanisms involved in various
biological processes (1). Specifically, the allosteric regulation of protein kinases has been
found essential for signaling cascades. Thus, dysregulation and overexpression of protein
kinases are often related to many human diseases, including various cancers. However,
due to the highly conserved catalytic site architecture of kinases, specific orthosteric inhi-
bition is often unsuccessful, causing off- target effects (2). In addition, cancers often develop
resistant mutations circumventing treatments with orthosteric drugs (3, 4). To overcome
these problems, the field has been exploring allosteric sites of kinases for specific and
efficacious inhibition (5, 6).
A recently approved allosteric inhibitor of Abelson kinase (Abl), asciminib, has been highly
effective in inhibiting Abl in vitro and in vivo (7–12). Remarkably, dual inhibition of Abl
with this allosteric inhibitor combined with the orthosteric inhibitors (including imatinib,
nilotinib, and ponatinib), which we refer to as “double- drugging”, has been impressively
successful in abolishing the emergence of resistant mutants for Abl (12–14). Considering
this clinical benefit, this approach has been applied to inhibit other targets such as EGFR
kinase and SHP2 phosphatase (15, 16). However, the biophysical mechanisms underlying
double- drugging of distant orthosteric and allosteric sites have not been well studied.
Herein, we provide the quantitative framework for double- drugging using two targets:
Aurora A kinase (AurA) and Abl. Both kinases participate in various cellular pathways, and
their dysregulation results in a multitude of cancers, such as breast cancer and leukemia
(17–19). Common obstacles faced by orthosteric inhibitors for AurA and Abl include
cytotoxicity, off- target effects, and emergence of resistance mutants (3, 4, 20, 21). For both
systems, we exploit a rational selection of ligands to probe positive and negative coopera-
tivity between remote orthosteric and allosteric sites using isothermal titration calorimetry
(ITC), Förster resonance energy transfer (FRET), and coupled- enzyme assays. We find
that both orthosteric and allosteric ligands exhibit preferred binding to the active or inactive
states and that cooperativity occurs by shifting this active–inactive conformational equi-
librium through long- range allosteric networks that are encoded for natural regulation of
those kinases. X- ray crystal structures of the double- drugged complexes shed light on the
atomistic mechanisms of cooperativity. After we determine negative cooperativity for the
double- drug combination used by Novartis in their clinical trials, we rationally chose a
different orthosteric inhibitor, Src inhibitor 1 (SKI), for positive cooperativity with
Significance
While immensely successful,
drugging kinases by active site
inhibitors has faced major
challenges. Selectivity issues
leading to side effects and
emergence of resistance
mutations rendered treatments
targeting active sites ineffective.
Double- drugging via active and
allosteric sites is a recently
developed approach to overcome
these obstacles. Using Aurora A
and Abelson kinase, we provide a
quantitative biophysical evaluation
of double- drugging by rationally
selecting inhibitor combinations
with positive cooperativity. The
results shed light on the interplay
of kinase conformational
equilibria and inhibitor- dose
requirements for effective
inhibition. Due to our rational
selection of a positively
cooperative drug combination for
Abl, we deliver a fully closed,
inactive Abl structure, including
regulatory SH3 and SH2 domains.
Collectively, this biophysical
framework aids future rational
double- drug designs.
Preprint: This manuscript has been submitted to bioRxiv
under a CC- BY 4.0 International license.
This article is a PNAS Direct Submission.
Copyright © 2023 the Author(s). Published by PNAS.
This open access article is distributed under Creative
Commons Attribution License 4.0 (CC BY).
1Present address: NoveltyNobility, Gyeonggi- do, Seongnam-
si 13477, Republic of Korea.
2Present address: Novartis Institutes for Biomedical
Research, Inc., Oncology Drug Discovery, Cambridge, MA
02139.
3Present address: Schrödinger, Inc., Natick, MA 01760.
4Present address: Relay Therapeutics, Cambridge, MA
02139.
5To whom correspondence may be addressed. Email:
dkern@brandeis.edu.
This article contains supporting information online at
https://www.pnas.org/lookup/suppl/doi:10.1073/pnas.
2304611120/- /DCSupplemental.
Published August 17, 2023.
PNAS 2023 Vol. 120 No. 34 e2304611120
https://doi.org/10.1073/pnas.2304611120 1 of 11
asciminib. This double- drug combination forms a unique ternary
complex, revealing a fully closed Abl structure.
Results
Cooperative Binding between Orthosteric and Allosteric
Modulators of AurA. In solution, AurA exists in a conformational
equilibrium between active and inactive states (22–24). We
previously designed monobodies (Mbs) that are fully selective
allosteric modulators, which bind to the natural allosteric regulatory
site of AurA on the N- terminal lobe (N- lobe), the binding site for
the natural coactivator protein TPX2 (25, 26). Different monobodies
either act as activators or inhibitors depending on how they shift
the active/inactive conformational equilibrium of AurA (25). To
achieve double- drugging on AurA, we combined these Mbs with
the orthosteric inhibitor danusertib (PHA739358) that tightly
binds to AurA [IC50 = 13 nM, Ki = 0.87 ± 1.44 nM] (27). Since it
has been shown that danusertib preferentially binds to the inactive
conformation of AurA (22, 28), we hypothesized that inhibiting Mbs
would bind tighter to AurA when in complex with the orthosteric
inhibitor danusertib. Conversely, binding of activating Mbs to AurA
should be weakened in the presence of danusertib (Fig. 1A).
Aligning with our hypothesis, we find that the binding affinity
of activating monobody (Mb1) to AurA weakens 16- fold when
AurA is presaturated with danusertib (Fig. 1B). To test whether the
binding of Mb1 and danusertib is mutually exclusive, we repeated
this experiment by preincubating AurA with a higher concentration
of danusertib (SI Appendix, Fig. S1E). Identical Mb1 binding affin-
ities, independent of saturating danusertib concentrations, reveal
that the simultaneous binding of Mb1 and danusertib to AurA is
possible. Thus, we reason that this 16- fold negative cooperativity
for Mb1 binding arises from a conformational equilibrium shift
of AurA to the inactive state induced by danusertib.
To achieve desired positive cooperativity between allosteric and
orthosteric binders to AurA, we chose the inhibiting monobodies
Mb2 and Mb3 because i) Mb2 is an inhibiting monobody for which
we had obtained an X- ray crystal structure in complex with AurA,
ii) Mb3 exhibits larger inhibition than Mb2, and iii) AurA- Mb3
complex exists in a monomeric form unlike the dimeric AurA- Mb2
complex (25). We indeed measure a twofold tighter binding of Mb2
to the AurA- danusertib complex compared to apo AurA (Fig. 1B).
Using the equilibrium constant for active/inactive states of AurA
previously determined [Keq= 0.67 (22)] and assuming identical affin-
ities of Mb2 to the inactive states of apo- or danusertib- bound AurA,
we fit our apparent affinities to a reversible two- state allosteric model.
We find that the twofold positive cooperativity can be explained
solely by the shift in the conformational equilibrium (SI Appendix,
Fig. S2). Thus, a further increase in positive cooperativity would only
be possible if the Mb affinity was tighter to the inactive state of the
AurA- danusertib complex than to the inactive state of apo AurA.
We indeed observed a threefold positive cooperativity for Mb3 with
danusertib (Fig. 1B). We speculate that this increased affinity of Mb3
to the AurA- danusertib complex compared to apo AurA could result
from favorable interactions with a closed activation loop, since danu-
sertib binding shifts the equilibrium of the activation loop toward
such conformation (23, 28).
To confirm whether the mechanism of cooperativity between Mbs
and danusertib follows a classic allosteric model, we tested binding
of Mb6 to the AurA- danusertib complex. Despite high affinity, Mb6
binding does not change AurA’s activity, implying that Mb6 binding
does not shift the active/inactive conformational equilibrium of
AurA (25). Indeed, the binding affinity of Mb6 to AurA is not
changed in the presence of danusertib (Fig. 1B and SI Appendix,
Fig. S3).
Fig. 1. Double- drugging of AurA kinase with orthosteric drug danusertib
and different allosteric modulators. (A) Schematic representation of active/
inactive equilibrium of AurA [green, PDB- ID: 5G15, and orange, PDB- ID: 6C83
(25)]. Arrows indicate binding of danusertib and Mbs to their preferred AurA
conformations. The table represents the rationale of positive and negative
cooperativity for double- drugging of AurA. (B) Effect of preincubation with
danusertib on observed dissociation constants (apparent Kd) of different
monobodies measured by ITC. Activating monobody Mb1 shows 16- fold
negative cooperativity, while inhibiting monobodies, Mb2 and Mb3, show
twofold and threefold positive cooperativity, respectively. Mb6 binding is
not affected by the presence of danusertib (SI Appendix, Fig. S3). (C) Reversal
of preincubation order during affinity measurements shows identical
cooperativities for orthosteric/allosteric ligand combinations (SI Appendix,
Fig. S1). Errors in (B and C) ITC data bar graph represent 68.3% CI (±1 SD) of
the fit of the data. (D) Kinase inhibition curves of AurA and AurA in the presence
of saturating concentrations of Mb1, Mb2 and Mb3 as a function of danusertib
concentration. Enzyme assays were conducted (n = 2, mean ± SDM) under
kcat/Km condition with 3 mM Lats2 peptide, measuring observed activity (kobs).
With inhibiting Mb2 and Mb3, fourfold and 20- fold lower concentrations of
danusertib, respectively, are required to inhibit to 10% residual AurA activity
[(Danusertib)10% act., and dashed line]. Errors in this bar graph were determined
by jackknifing the inhibition curve data.
For a reversible two- state allosteric model, the same fold- change
of cooperativity must be observed when reversing the order of
binding. To measure changes in the affinity of danusertib upon
Mb binding, we had to employ competitive replacement ITC with
adenosine 5′- (α, β- methylene) diphosphate (AMPCP), since
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danusertib binds too tightly to AurA for direct measurement.
Indeed, the measured cooperativities are matching quantitatively
regardless of the binding order (Fig. 1C).
Double- Drugging of AurA Lowers Inhibitor Concentration
Needed for Efficacious Inhibition. Next, we probed biological
relevance of these observed cooperativities by measuring the
inhibition of AurA kinase activity using Lats2 peptide as a
substrate with cellular ATP concentrations. Preincubation of
inhibiting Mbs resulted in a vastly decreased amount of danusertib
required to cause 90% inhibition of AurA activity (Fig. 1D). This
combined inhibition effect is the direct consequence of positive
cooperativity. For instance, Mb3, which displays a larger degree
of positive cooperativity than Mb2, causes a larger reduction in
required amount of danusertib for effective inhibition.
X- Ray Crystal Structures of Ternary Complexes: AurA-
danusertib- Mb1 and AurA- danusertib- Mb2. We solved X- ray
crystal structures of double- drugged AurA complexes to further
understand the structural features responsible for the positive and
negative cooperativity between Mbs and danusertib (SI Appendix,
Table S1). The complex of AurA- danusertib- Mb1 [active, DFGin,
BLAminus (29, 30)] displays hallmarks of an active kinase, such as
an intact regulatory spine, the α- C helix in the “in” position, and
the “DFG- in” state (Fig. 2A). However, we note that in contrast
to the AurA- AMPPCP- Mb1 structure (PDB- ID: 5G15), D274
is rotated away from danusertib to avoid a steric clash with the
terminal phenyl ring of danusertib (SI Appendix, Fig. S4A). This
crystal structure corroborates the capability of danusertib to bind
to the active conformation of AurA as we had tested biochemically
(SI Appendix, Fig. S1B).
The most interesting structure for “double- drugging” with maxi-
mal inhibition is of course the ternary complex of AurA- danusertib-
Mb2 [inactive, DFGinter (29, 30)]. Like AurA- AMPPCP- Mb2
(PDB- ID: 6C83), this ternary complex displays features of an inactive
kinase: α- C helix “out”, “DFG- out,” as well as both a broken regu-
latory spine and a broken canonical salt bridge (K162- E181)
(Fig. 2B). This is expected due to the conformational equilibrium
shift caused by Mb2 binding and the preferential binding of danus-
ertib to inactive AurA. Furthermore, the activation loop is fully shifted
Fig. 2. Proposed molecular mechanism for negative and positive cooperativity for double- drugging AurA with danusertib in combination with Mb1 and
Mb2, respectively. (A and B) Zoom- in of X- ray crystal structures of AurA (gray) complexed with danusertib and either Mb1 (A, green) or Mb2 (B, gold). An intact
regulatory spine, DFG- in conformation and extended activation loop in A is contrasted to a broken regulatory spine, DFG- out, and closed activation loop in (B).
This closed activation loop provides additional hydrophobic interaction to the terminal ring of danusertib. (C–H) Orthosteric binding sites for six different AurA
states reveal why danusertib has higher affinity for inactive AurA (22, 27, 31). K162 and E181, which form the canonical salt bridge in active AurA, and D274
and F275 (DFG- motif), are shown in stick representation. (D–E) While K162- E181 salt bridge is established in an active AurA conformations, (C) this salt bridge is
broken in AurA- danusertib- Mb1 structure as K162 interacts with danusertib. (F–H) In the inactive AurA conformations, DFG- out F275 is positioned between K162
and E181, physically blocking the salt- bridge interaction, thereby prepositioning K162 for danusertib binding. (A–H) Oxygen, nitrogen, and phosphorous atoms
are colored in red, blue, and orange, respectively. Carbon atoms are colored according to their respective protein cartoon.
PNAS 2023 Vol. 120 No. 34 e2304611120
https://doi.org/10.1073/pnas.2304611120 3 of 11
toward the active site, providing additional hydrophobic interactions
to the terminal ring of danusertib (Fig. 2B). This shifted activation
loop is a major structural feature of an inactive AurA (23, 28), as
observed in AurA bound to the orthosteric inhibitor MLN8054
(PDB- ID: 2WTV) (32). The structure of AurA- AMPPCP- Mb2
(PDB- ID: 6C83) displays a similar activation loop, however, with an
extended portion being disordered (residues 276 to 290) to circum-
vent clashing with the β- and γ- phosphate groups of AMPPCP
(SI Appendix, Fig. S4B). The binary complex between AurA and
danusertib (PDB- ID: 2J50) did not exhibit such a shift in the acti-
vation loop. However, it is unclear whether the activation loop
conformation in the AurA- danusertib structure reflects the solution
state since the activation loop is directly involved in crystal contacts
(SI Appendix, Fig. S5).
Our crystal structures and ITC experiments showed that danu-
sertib can bind to both the AurA- Mb2 and AurA- Mb1 complexes.
To reveal why danusertib, however, binds with much higher affin-
ity to AurA- Mb2 than AurA- Mb1 (there is no steric hindrance),
we scrutinized the thermodynamic parameters of our ITC studies
on danusertib binding to different AurA- Mb complexes
(SI Appendix, Fig. S1 A–D). We find that the enthalpy for danu-
sertib binding to AurA- Mb1 is reduced by 22.8 kJ/mol compared
to AurA- Mb2, which approximates the equivalence of one salt
bridge [12.6 to 20.9 kJ/mol (33)]. The canonical salt bridge
between K162 and E181 is a feature of an active AurA, in both
its apo form and bound to AMPPNP (PDB: 6CPE and 2DWB,
respectively) (22) (Fig. 2 D and E). In contrast, the ternary com-
plex of AurA- danusertib- Mb1 displays a broken salt bridge, as
K162 interacts now with danusertib, while maintaining the α- C
helix in the “in” position (Fig. 2C). Thus, we propose that the
K162- E181 salt bridge in AurA- Mb1 must be broken for danus-
ertib binding, as reflected by the lowered binding enthalpy. To
confirm that apo AurA- Mb1 complex establishes the K162- E181
salt bridge, we deleted danusertib from the structure of AurA-
danusertib- Mb1 and carried out molecular dynamics simulations
in triplicate. We observed that K162- E181 indeed forms this
salt bridge on average 80.8% in a 10 ns simulation (SI Appendix,
Fig. S6A). However, in the presence of danusertib, we observe
K162 to rather form a hydrogen bond with O- 27 of danusertib’s
methoxy moiety than with E181 in the MD simulation, which is
the state sampled in our crystal structure as well (Fig. 2C and
SI Appendix, Fig. S6 B and C).
In the inactive conformations of AurA, the broken K162- E181
salt bridge stems from the α- C helix and DFG- motif being posi-
tioned in the “out” conformation such that F275 positions between
K162 and E181 (PDB: 4C3R and 2J50) (27, 31) (Fig. 2 G
and H). Thus, we propose that K162 in inactive AurA conforma-
tions, such as AurA- Mb2 complex, is prepositioned for danusertib
binding (Fig. 2F), which results in the tighter binding of danus-
ertib to the inactive state of AurA.
Cooperative Effect of Imatinib and Asciminib Binding on Abl.
Intrigued by our mechanistic insights into double- drugging of
AurA, we turned to Abl, the only target currently in clinical trials
for double- drugging. It has been shown that the combination
of the orthosteric inhibitor imatinib and the allosteric inhibitor
asciminib abolishes the emergence of resistance mutations (7–12),
an impressive breakthrough. Therefore, Abl embodies a powerful
target to delineate the biophysical constraints, or “framework”,
for successful double- drugging. Since the quantitative biophysical
parameters for this drug combination are not known, we set out
to biophysically investigate the cooperativity and modulation of
Abl’s open/closed conformational equilibrium first using this exact
combination of orthosteric and allosteric inhibitors. Note that we
use the well- established relevant construct of SH3- SH2- KD Abl
(Abl64– 510) (SI Appendix, Fig. S7). Abl exists in a conformational
equilibrium between open, active, and closed, inactive conformations
(34–36) (Fig. 3A). In the open conformation, the regulatory
domains are elongated so that the SH2 domain moves onto the N-
lobe of the kinase domain, forming a “top- hat” conformation (35).
In the closed conformation, the regulatory domains tightly interact
with the kinase domain, SH3:N- lobe and SH2:C- lobe, the latter
facilitated by the bent C- terminal α- I helix (12, 35, 37) (Fig. 3A).
This conformational equilibrium is susceptible to modulation by
single agents such as imatinib and asciminib (12, 34, 38).
In ITC experiments, we find that imatinib binds fivefold tighter
to AblKD, which exists exclusively in the open conformation,
than to Abl64– 510 (Fig. 3B). This confirms imatinib’s preferential
binding to the open state of Abl (34). In full agreement with this
model, imatinib binds to Abl64– 510 with a fourfold decreased affin-
ity in the presence of asciminib, since asciminib shifts the equi-
librium to the closed state (12) (Fig. 3B). We conclude that this
fourfold negative cooperativity between imatinib and asciminib
stems from a shift in the conformational equilibrium of Abl, where
both drugs preferentially bind to the open and closed conforma-
tion, respectively. Akin to AurA, preincubation of Abl64– 510 with
increased concentration of asciminib did not result in a weakened
imatinib affinity, confirming the simultaneous binding of the two
inhibitors (SI Appendix, Fig. S8B). Surprisingly, we found that
imatinib and asciminib display a twofold negative cooperativity
for AblKD (Fig. 3B). This implies the presence of an additional
conformational equilibrium within the kinase domain itself (39)
and that asciminib and imatinib shift this equilibrium in opposite
directions. We refer herein to the asciminib- favoring conformation
as the “closing- competent” conformation of AblKD.
Importantly, we measure identical negative cooperativities
between imatinib and asciminib on both AblKD and Abl64– 510,
regardless of binding order, within the range of errors (Fig. 3C
and SI Appendix, Fig. S8E). Due to the tight binding of asciminib,
its affinity was measured via competitive replacement ITC using
N- Myr peptide as a weak- binding ligand (12, 40). Collectively,
we conclude that the binding of imatinib to the orthosteric site
and asciminib to the allosteric site in Abl64– 510 follow a two- state
allosteric model, in which the two drugs favor the closed and open
conformation, respectively.
Positive Cooperativity between SKI and Asciminib on Abl.
Considering the negative cooperativity between imatinib and
asciminib described by our ITC experiments, we wanted to
rationally select an orthosteric inhibitor that exhibits positive
cooperativity with asciminib. We chose Src inhibitor 1 (SKI),
an orthosteric inhibitor that tightly binds to Src kinase (IC50 =
44 nM) (41, 42), because Bannister et al. recently measured that
SKI preferentially binds to the α- C helix out, and thus closed-
inactive conformation of Src kinase, despite the DFG- motif being
in the “in” position (SKI was therefore traditionally classified as
type I inhibitor) (Unpublished data, Bannister et al.). Due to
Abl and Src kinases’ close structural homology, we hypothesized
that SKI would bind to Abl in a similar fashion, thus exhibiting
positive cooperativity with asciminib by preferentially binding to
the closed state of Abl. Since SKI binding to Abl did not result in
a detectable heat change in ITC, we turned to FRET experiments
to quantify this interaction (Fig. 3D and SI Appendix, Fig. S9
and Fig. S10). SKI indeed binds preferentially to the closed
conformation of Abl64– 510, as seen by the fivefold tighter binding
of SKI to Abl64– 510 than to AblKD. Furthermore, we observe a
modest positive cooperativity between SKI and asciminib binding
in AblKD, indicating that SKI binds to the “closing- competent”
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Fig. 3. Double- drugging of Abl kinase. (A) Schematic representation of conformational equilibrium in Abl kinase. Arrows indicate binding of orthosteric inhibitors
imatinib and SKI, and allosteric inhibitor asciminib to preferred Abl conformations. X- ray crystal structures from PDB- ID: 1OPL (green) and PDB- ID: 5MO4 (red)
were used for open and closed Abl structures, respectively (12, 35). Note that the SH3 domain in the open structure is missing due to lacking electron density.
(B) With ITC experiments, we observe twofold and fourfold negative cooperativity for open- conformation binder imatinib when AblKD and Abl64– 510, respectively,
are preincubated with closed- conformation binder asciminib (SI Appendix, Fig. S8). (C) Matching fold- change of negative cooperativity is observed reversing the
order of modulators used in preincubation and titration, using ITC (SI Appendix, Fig. S8). (B and C) Errors in the ITC data bar graphs represent 68.3% CI (±1 SD) of
the fit of the data. (D) FRET experiments to detect SKI binding (10 nM of enzyme in all experiments. Data (n = 2 to 5, mean ± SDM) have been fitted to quadratic
binding equation. Unlike imatinib, SKI binds tighter to AblKD- asciminib and Abl64– 510 than to AblKD. In AblKD, asciminib exhibits small positive cooperativity with
the binding of SKI. Kd errors are SE of the fit.
conformation induced by asciminib. Unexpectedly, we did not
find a difference between the binding affinities of SKI to Abl64– 510
and Abl64– 510- asciminib. We interpret this result as evidence that
the conformational equilibrium of apo Abl is already far shifted
to the closed conformation. Hence, the binding of asciminib had
no effect on this equilibrium. This is, in fact, in agreement with
a NMR study by Grzesiek and colleagues reporting overlapping
chemical shifts between apo and GNF- 5 (a predecessor of
asciminib) bound Abl for open/closed equilibrium markers (34).
Effect of Orthosteric and Allosteric Modulators on Abl Activity.
Interestingly, it had been reported that allosteric inhibitors of Abl
other than asciminib (such as GNF- 2, GNF- 5, myristate, and
myristoyl- peptide) actually do not inhibit the catalytic activity
despite binding to AblKD (40, 43, 44). However, with ITC,
we observed that asciminib shifts the conformation of AblKD
to the “closing- competent” conformation (Fig. 3 B and C). Is
this “closing- competent” conformation of the kinase domain a
catalytically inactive state of Abl? Inhibition curves of AblKD
generated using a coupled- enzyme assay with Srctide as substrate
and asciminib as an inhibitor reveal 30% inhibition at saturating
asciminib concentration (Fig. 4A). We conclude that the
closing- competent conformation of the kinase domain is indeed
catalytically inactive and that asciminib shifts the conformational
equilibrium of AblKD to be 30% in this conformation by binding
to the C- lobe and allosteric propagation to the orthosteric site.
This model also reconciles the moderate synergistic effect of SKI
and asciminib binding to AblKD (Fig. 3D). We note that this
unique allosteric propagation by asciminib could contribute to its
increased potency relative to other myristate pocket binders. Most
importantly, and stressing the importance of studying full- length
kinases in drug development, asciminib causes a 93% inhibition
of Abl64– 510 at saturating concentration (Fig. 4A). This vastly
increased inhibition is caused by the closing of the regulatory
domains leading to an inactive kinase.
Next, we quantified the inhibition of AblKD and Abl64– 510 by
the two orthosteric inhibitors imatinib and SKI. In agreement
with our affinity measurements (Fig. 3 B–D), imatinib exhibited
a lower IC50 for AblKD than for Abl64– 510, while SKI exhibited a
higher IC50 for AblKD than for Abl64– 510. Second, preincubation
of AblKD with asciminib increased the IC50 for imatinib. This
negative cooperativity arises from binding preferences of imatinib
and asciminib to opposite conformations. In contrast, double-
drugging of AblKD with SKI and asciminib resulted in a reduced
IC50 since both have a binding preference to the same, “closing
competent” conformation, highlighting their positive cooperativity
(Fig. 4A).
We note that SKI’s IC50 is higher than imatinib’s IC50 with respect
to AblKD, Abl64– 510, and AblKD- asciminib (Fig. 4A), whereas this
trend is reversed in our binding experiments (Fig. 3 B–D). We
ascribe this discrepancy to the presence of ATP in the coupled-
enzyme assay: AMPPCP binds twofold tighter to AblKD than
Abl64– 510 (SI Appendix, Fig. S11). Thus, under our assay condition,
we reason that the ATP shifts the conformational equilibrium of
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Fig. 4. Catalytic activities of Abl kinase under double- drugging conditions. (A) Inhibition curves of AblKD and Abl64– 510 with asciminib, imatinib, and SKI. IC50
values shift according to the favored binding conformations of the corresponding inhibitor. (B and C) In vitro synergy studies using (B) imatinib and asciminib
(C) or SKI to examine cooperativity between both inhibitors for Abl64– 510 activity. (C, Left) Numbers in the grid represent kobs with respective concentrations of
inhibitor combinations. (C, Middle and Right) graphic representation of the data to illustrate inhibitor concentration needed to achieve 10% residual kinase activity
[(Imatinib)10% act. and (SKI)10% act, dashed line]. Note that SKI required for 10% residual kinase activity decreases with increasing asciminib, especially with higher
fold- change than that observed for imatinib. All assays were measured (n = 4 for 0 nM orthosteric inhibitor, n = 2 for all other assays, mean ± SDM) under kcat/Km
condition with 2 mM Srctide. Errors in IC50 are SE of the fit. Errors in the bar graphs were determined by jackknifing the inhibition curve data.
Abl64– 510 to the open state, which is favored by imatinib over SKI
binding.
Inhibition of Abl Kinase Activity under Double- Drugging
Condition. The key question for clinical application is: What
is the effect of different dosing concentration combinations
of the two inhibitors on Abl’s kinase activity? Therefore, we
performed synergy studies on Abl64– 510 kinase activity varying the
concentration of both orthosteric and allosteric inhibitors (Fig. 4 B
and C). These experiments underscore the negative cooperativity
between imatinib and asciminib and corroborate the positive
cooperativity between SKI and asciminib. First, we find a more
pronounced inhibition of Abl64– 510 by SKI than by imatinib in
the presence of asciminib. On the other hand, when used as
a single agent, imatinib inhibits Abl64– 510 stronger than SKI,
highlighting the difference in cooperativity. Second, we observe
that in the presence of asciminib, less SKI is required for 90%
inhibition of Abl activity compared to imatinib due to the
positive cooperativity between SKI and asciminib (Fig. 4 B
and C).
X- Ray Crystal Structure of the Ternary Complex of Abl64– 510- SKI-
Asciminib. Intrigued by the synergistic effect of SKI and asciminib
on Abl activity, we structurally characterized this ternary complex by
cocrystallization, resulting in a 2.86 Å crystal structure of Abl64– 510-
SKI- asciminib [inactive, DFGin, BLBplus (29, 30)] (Fig. 5A and
SI Appendix, Fig. S12 and Table S1). Surprisingly, this Abl structure
adopts a closed conformation with striking differences to previously
reported closed structures; Abl in complex with nilotinib and
asciminib (PDB- ID: 5MO4), as well as in complex with PD166326
and myristic acid, a groundbreaking structure of full- length Abl
in the inhibited state (PDB- ID: 1OPK) (Fig. 5B and SI Appendix,
Fig. S13) (12, 35). First, we note that the entire N- terminal lobe is
~30° twisted only for Abl64– 510- SKI- asciminib, when aligned by the
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regulatory domains (Fig. 5B and SI Appendix, Fig. S13). Second, the
α- C helix is adopting the “out” position resulting from this N- lobe
twist, since an α- C helix “in position” would clash with strands β4
and β5 (Fig. 5 B and C). In consequence, the canonical salt bridge
between K290 and E305, a hallmark of an active kinase, is broken
in our structure, whereas D400 (DFG- motif) is positioned in the
“in” position. Paradoxically, the two other closed ternary complexes
of Abl possess an α- C helix located in the “in” position and an
established canonical salt bridge (K290- E305), both reminiscent of
an active kinase conformation (SI Appendix, Fig. S15), while their
DFG- motif is in the “out” position. This highlights i) the importance
of the α- C helix conformation and the canonical salt bridge, and
not only the DFG- motif, in determining open/closed conformation
which is directly correlated to active/inactive states in full- length
kinases, and ii) that through binding of SKI and asciminib, we
were able to capture the strictly closed and inactive conformation
of Abl with regulatory domains. We note, that the orthosteric site is
fully occupied by SKI and the twisted N- lobe aids in forming this
tightly packed binding pocket (Fig. 5C and SI Appendix, Fig. S13).
In fact, K290 located on β3 strand is wrapping over SKI burying
the inhibitor in Abl’s orthosteric site. Besides extensive van der Waals
interactions between SKI and Abl, the quinazoline ring of SKI shares
two hydrogen bonds with Abl, one between the side chain hydroxyl
of T334 on β- strand 5 and N- 2 of SKI as well as between the amide
of M337 and N- 0 of SKI (Fig. 5C).
When compared to other closed Abl structures, we find an
extended domain interface between SH3, linker, and N- lobe of
the kinase domain, which explains the positive cooperativity
Fig. 5. X- ray structure of ternary Abl64– 510- SKI- asciminib complex reveals a fully closed conformation compared to previous “energetically frustrated” ternary
closed Abl structures. (A) Abl64– 510 bound to SKI and asciminib. (B) Superposition of Abl64– 510- SKI- asciminib (blue) and Abl- nilotinib- asciminib (pink, PDB- ID: 5MO4)
(12). When superimposed by the regulatory SH2 and SH3 domains, the N- lobe of Abl64– 510- SKI- asciminib twists and exhibits α- C helix “out” position. (C) Zoom
into the SKI and nilotinib binding sites. Van der Waals radii for the interacting Abl residues (spheres) with SKI (orange) and nilotinib (green) show more confined
binding pocket for SKI than nilotinib. (D) Comparison of interface residues between N- SH3 domain (S94, D96, T98), linker (V247, S248), and N- lobe of kinase
domain (W280, K282, Y283, S284, and L285) for Abl64– 510- SKI- asciminib (blue), Abl- nilotinib- asciminib (pink, PDB- ID: 5MO4), and Abl- PD166326- myristate (yellow,
PDB- ID: 1OPK) (12, 35). Due to the twist in the N- lobe for Abl64– 510- SKI- asciminib, residues in the domain/domain interface exhibit better packing. For Abl64– 510-
SKI- asciminib, an additional hydrogen bond is established between S248 and D96 which contributes to this extended interface. Oxygen and nitrogen atoms are
colored in red and blue, respectively. Carbon atoms are colored according to their respective protein cartoon.
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between SKI and asciminib. This improved interface is a direct
result of the twisted N- lobe. The repositioned β2 and β3 strands
cause Y283 to be completely buried within this interface. In other
ternary complexes of Abl, this interface is only partially formed
(Fig. 5D). Moreover, S248 (located on the linker) forms a hydro-
gen bond with D96 in the SH3 domain, which is only present in
the ternary complex of Abl64– 510- SKI- asciminib. Strikingly, S248P
was identified as a resistant mutation for GNF- 2 and asciminib
in cell culture- based screening (7, 45) with no mechanistic under-
standing, given that this mutation is far away from the allosteric
inhibitor binding site. Our structure now reveals the important
role of S248 in allosteric closing of Abl, and hence asciminib
inhibition! We conclude that our complex of Abl64– 510- SKI- asciminib
represents the only example of a fully closed and inactive Abl
structure.
Discussion
To combat on- target cancer drug resistance, double- drugging
holds promise to be a powerful strategy. The rationale behind is
multiplication of individual resistance mutational probabilities
for each drug. Impressively, combinations of asciminib and various
orthosteric inhibitors, including imatinib, indeed abolish the
emergence of Abl resistance mutants and this double- drugging of
Abl is currently in clinical trials (12). Given these groundbreaking
clinical results, we used Abl kinase to interrogate the biophysical
mechanism underlying this drug combination to learn a quanti-
tative biophysical framework for successful double- drugging. In
a second step, we used our knowledge of conformational equilibria
in kinases to rationally select alternative orthosteric drugs exhib-
iting improved synergy with the allosteric drug. Our results have
major implications: i) Knowledge of conformational equilibria in
drug targets indeed enables rational selection of inhibitor combi-
nations with positive cooperativity and therefore better synergy.
ii) Our Abl structure solves the apparent mystery of all previous
closed Abl structures with the α- C helix in the active “in position”
that contradicted the common features of inactive- closed kinases
with the α- C helix in the canonical “out position”. Structural
investigation of our double- drugged ternary complex with SKI
and asciminib reveals a true α- C helix “out” state observed in Abl
structures (SI Appendix, Fig. S14). This originates from an SKI-
induced twist in the N- lobe causing a fully closed conformation,
thus, releasing an energetically frustrated conformation observed
in other double- drugged Abl complexes, since SKI and asciminib
both preferentially bind to the closed state of Abl to cause positive
cooperativity. In contrast, double- drugging with an open conforma-
tion binder (nilotinib) and a closed conformation binder ( asciminib)
results in an energetically frustrated Abl structure (PDB- ID: 5MO4).
This structural study highlights how understanding of conforma-
tional equilibria crucially aids the discovery of further inhibited
states. Our finding of the energetically frustrated conformation
agrees with previous NMR experiments reporting an opposing bind-
ing preference of imatinib and GNF- 5 for Abl (34). In contrast,
Johnson et al. claimed that such an antagonism arises from mutually
exclusive binding of orthosteric and allosteric inhibitors (38). This
conclusion contradicts previous studies characterizing Abl- imatinib-
GNF- 5 by NMR as well as crystallographic studies on the ternary
complex of Abl bound to both nilotinib and asciminib (12, 34).
Our ITC studies resolve this controversy by ruling out mutual
exclusivity for binding of imatinib and asciminib. iii) Our Abl
data solve a heated debate: Recently, Kalodimos and colleagues
argued that imatinib opens Abl via binding to its allosteric site
(reported Kd >10 µM), and not via binding to its active site (46).
This is in disagreement with NMR and cellular studies by Grzesiek
et al. (34, 47, 48). Tighter binding of imatinib to open AblKD
(Kd = 15 nM) compared to closed Abl64– 510 (Kd = 72.4 nM) and
negative cooperativity between imatinib and asciminib buttress
Grzesiek’s model where imatinib’s preferential binding to the open
conformation of Abl arises from its orthosteric site binding with
nanomolar affinity.
Double- drugging has been applied to two additional targets,
SHP2 phosphatase (16) and EGFR kinase (15, 49). Fodor et al.
used a combination of two allosteric binders, SHP099 and
SHP504, to inhibit the phosphatase SHP2 (16).The authors
demonstrate that the combination reduces the dosage require-
ments of these allosteric inhibitors to achieve effective inhibition
of SHP2; however, SHP504 is a very weak binder with an IC50
of 21 μM (16). For EGFR kinase, a combination of the inhibitor
JBJ- 04- 125- 02 binding right next to the irreversible orthosteric
inhibitor osimertinib has been found to be more efficacious, than
single agents, for inhibiting tumor growth in a mouse model.
Furthermore, Jänne and colleagues demonstrated that this
double- drugging resulted in the reduced emergence of resistance
mutants in cellular assays (49). Here, the allosteric inhibitor bind-
ing site is in immediate proximity to the orthosteric site, resulting
in direct interactions between the two inhibitors potentially driv-
ing positive cooperativity (15, 49).
In contrast, we investigated the mechanism of dual inhibition
in AurA and Abl kinase targeting a distant allosteric site that is
involved in natural regulation, in combination with active site
drugs. Rationally targeting those natural allosteric sites has the
advantage that it assures allosteric coupling to activity. We demon-
strate with our amateur attempts on both kinases that rational
selection of double- drug combinations with positive cooperativity,
and hence increased synergy, is possible based on knowledge of
involved conformational equilibria. Furthermore, we note that
such kinase activity- based synergy studies could easily be per-
formed in a high- throughput manner to test orthosteric and
allosteric inhibitor combinations.
In summary, this work proposes a biophysical framework for
designing and evaluating double- drugging synergy utilizing ortho-
steric and allosteric modulators. As highlighted here, positive coop-
erativity is desirable for double- drugging approaches improving
selectivity and dosage requirements. However, while extreme negative
cooperativity is undesirable, the clinical success of Novartis’ drug
combination for Abl (12) with fourfold negative cooperativity as
measured here suggests a clinical efficacy window ranging from small
negative to strong positive cooperativity, given single- drug efficacy.
Single drug efficacy is crucial, as otherwise a single resistance muta-
tion abolishing binding of one drug would render the dual treatment
to combat drug resistance essentially ineffective.
Methods
Cloning and Purification of Aurora A and Monobodies. AurA (residues 122 to
403, TEV- cleavable, N- terminal His6- tagged, kanamycin- resistance) in pET28a and
LPP (#79748) from Addgene were cotransformed in BL21(DE3) cells and plated
on Kan/Spec LB plate. Expression cultures were grown in TB to OD = 0.6–0.8 and
induced with 0.6 mM IPTG for 16 h at 21 °C. Harvested cells were resuspended
in 50 mM Tris–HCl, 300 mM NaCl, 20 mM MgCl2, and 10% glycerol, pH 8.0, and
sonicated in the presence of EDTA- free protease inhibitor cocktail, lysozyme and
DNAse. Clarified lysate was purified via Ni- NTA columns. AurA was eluted in 100%
of 50 mM Tris–HCl, 300 mM NaCl, 500 mM imidazole, 20 mM MgCl2, and 10%
glycerol, pH 8.0, which was combined with TEV and GST- LPP, and then dialyzed
overnight against 50 mM Tris–HCl, 300 mM NaCl, 1 mM MnCl2, 5 mM TCEP, and
10% glycerol, pH 7.5 at 4 °C. Cleaved Aurora A was purified with Ni- NTA and GST
columns and subsequently polished with a 26/600 S200 pg gel filtration column
equilibrated in 20 mM Tris–HCl, 200 mM NaCl, 20 mM MgCl2, 5 mM TCEP, and
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10% glycerol, pH 7.5. Pure fractions were pooled and concentrated to around
40 μM, and stored in −80 °C. Monobodies (TEV- cleavable, N- terminal His6-
tagged) were purified with on- column refolding as described in Zorba et al. (25).
Cloning and Purification of AblKD and Abl64– 510. AblKD (residues 229 to
510, TEV- cleavable, N- terminal MBP- His6- tagged) and Abl64– 510 (residues 64 to
510, TEV- cleavable, N- terminal MBP- His6- tagged) were cloned into pETm41
(GenScript) (SI Appendix, Fig. S7). Residue numbering follows Abl1b isoform
that naturally consists of N- myristoylation. All Abl constructs were cotransformed
with phosphatase YOPH (streptomycin- resistance) in BL21(DE3) cells and plated
on Kan/Strep LB plate. Expression was performed in TB media and induced at
OD = 0.6–0.8 with 0.1 mM (for AblKD) or 0.2 mM IPTG (for Abl64– 510) for 16 to
20 h at 18 °C. Harvested cells were resuspended in 50 mM Tris–HCl, 500 mM
NaCl, and 1 mM TCEP, pH 8.0 (buffer A). Cells were sonicated in the presence of
EDTA- free protease inhibitor cocktail, lysozyme, and DNAse. Clarified lysate was
with Ni- NTA columns. The protein was eluted with 100% 50 mM Tris–HCl, 500 mM
NaCl, 500 mM imidazole, and 1 mM TCEP, pH 8.0 and combined with TEV and
CIP (#M0525, NEB) and dialyzed overnight against buffer A at 4 °C. Cleaved Abl
was further purified with Ni- NTA and a Q column (gradient elution with 50 mM
Tris–HCl, 1 M NaCl, and 1 mM TCEP, pH 8.0). Prior to anion exchange chroma-
tography Abl was dialyzed into 50 mM Tris–HCl, 1 mM TCEP, and 10% glycerol,
pH 8.0. Dephosphorylated Abl fractions were polished with 26/600 S75 pg (for
AblKD) or 26/600 S200 pg (for Abl64– 510) gel filtration column with buffer A. Pure
fractions were aliquoted to around 40 μM and stored in −80 °C.
ITC. All titrations were carried out using Nano ITC (TA Instruments) and analyzed
via the NanoAnalyze software either using the independent fit model or compet-
itive replacement model. The first injection of each experiment was discarded
according to the software manual.
For AurA, danusertib (Selleckchem #S1107) was reconstituted to 100 mM in
100% DMSO and was diluted to appropriate concentration to match final 5%
DMSO (vol/vol) for each experiment. An ADP- analogue, AMPCP, was used for
competitive replacement experiments to measure and fitting of the binding
of danusertib to AurA. All proteins were dialyzed in 20 mM Tris–HCl, 200 mM
NaCl, 10% (vol/vol) glycerol, and 5 mM TCEP, pH 7.5. AMPCP was resuspended
with the same buffer and was matched to pH 7.5. DMSO was added prior to
each experiment to match 5% between titrant and titrand. Each injection was
added in 2 µL increments with 180 s interval at a constant stirring speed of
300 rpm and at 25 °C. Concentrations used for the experiments are noted in
SI Appendix.
For Abl, N- Myr peptide (Myr- GQQPGKVLGDQR), ordered from GenScript, was
used for competitive replacement experiments to measure and fitting of the
binding of asciminib to Abl. All proteins were dialyzed in 50 mM Tris–HCl, 500 mM
NaCl, and 1 mM TCEP, pH 8.0. Imatinib- mesylate (Sigma #SML- 1027) and asci-
minib (MedKoo #206490) were reconstituted to 10 mM in 100% DMSO and
were diluted to appropriate concentration for each experiment. N- Myr peptide
was resuspended with the same buffer and was matched to pH 8.0. DMSO was
added prior to each experiment to match 5% between titrant and titrand. Each
injection was added in 1 to 1.5 µL increments with 180 s interval at a constant
stirring speed of 300 rpm and at 25 °C. Concentrations used for the experiments
are noted in SI Appendix.
In Vitro Kinase Assay. To measure the IC50 of danusertib to AurA, ADP- GloTM
Max assay (Promega #V7001) was used. 20 nM AurA in the absence or presence
of either saturating concentration of Mb1 or Mb2 or Mb3 was incubated with
3 mM Lats2 (ATLARRDSLQKPGLE), 0.6 mg/mL BSA, and varying concentrations of
danusertib with final 5% (vol/vol) of DMSO at 25 °C in 20 mM Tris–HCl, 200 mM
NaCl, 10% (vol/vol) glycerol, and 5 mM TCEP, pH 7.50. The bolded and underlined
residue indicates site of phosphorylation. The reaction was initiated by adding
5 mM ATP, and the final samples were collected after 2 h for AurA- Mb1 complex,
10 h for apo AurA, and 20 h for AurA- Mb2 and AurA- Mb3 complexes. The amount
of ADP in the samples was measured by following the manufacturer’s protocol
and used to calculate the observed rate.
Assays for Abl were performed at 25 °C with half- well 96- well plate (Corning
#3994) in 50 mM Tris–HCl, 500 mM NaCl, and 1 mM TCEP, pH 8.0, supplemented
with 20 nM Abl kinase (AblKD or Abl64– 510), 2 mM Srctide (EIYGEFKK), 0.6 mg/mL
BSA, 20 mM MgCl2, 750 µM NADH, 6 mM PEP, and 2.5 units of PK/LDH (Sigma
#P0294). The bolded and underlined residue indicates site of phosphorylation.
Oxidation of NADH at A340 was monitored using SpectraMAX by starting the assay
with 1 mM ATP. The final volume of the assay was 100 µL. The observed rate (kobs)
was calculated following Zorba et al. (25).
All data were processed using GraphPad Prism and fitted to a four- parameter
dose- response model.
Molecular Dynamics Simulation. All- atom molecular dynamics simulations
were conducted using OpenMM 7.6 (50) and “Making it rain” cloud- based
notebook environment (51). The structure of AurA- danusertib- Mb1 was used
as an initial model. To mimic danusertib binding to AurA- Mb1 under ITC con-
ditions, we created such structure via removal of danusertib from our ternary
complex AurA- danusertib- Mb1 [since the published AurA- Mb1 structure
(PDB- ID: 5G15) has AMPPCP bound to active site (25). Parameterization for
all MD runs was conducted using LEaP (52) with Amber ff14SB force field
(53), GAFF2 (54) for ligand, and TIP3P (55, 56) water model. The systems were
neutralized with NaCl at 0.2 mM, following the ITC conditions, and box size was
set at 20 Å. AurA- Mb1 and AurA- danusertib- Mb1 structures were equilibrated
to 298 K via Langevin dynamics (57) and 1 bar via Monte Carlo barostat (58)
with 2 fs integration time. We set 10,000 steps of energy minimization with
1,000 kJ/mol of harmonic position restraints. The systems were equilibrated
for 0.2 ns and 1 ns for AurA- Mb1 and AurA- danusertib- Mb1, respectively, in
the NVT ensemble. Then, with accordingly equilibrated systems, triplicates
of 10 ns production runs were done in the NPT ensemble. Trajectories were
analyzed using VMD 1.9.4a53 (59).
FRET Measurements. FluoroMax- 4 (Horiba Scientific) with temperature con-
troller (water bath) was used to measure FRET between intrinsic tryptophan
fluorescence and SKI. Either 10 nM Abl or 10 nM Abl + 200 nM asciminib was
preincubated with varying concentrations of SKI for 40 min at 25 °C before meas-
urements. An increase in the fluorescence was measured when the complex,
specifically tryptophan, was excited at 295 nm to emit at 340 nm, which then
excites SKI to emit at 460 nm (SI Appendix, Fig. S9). Both 5 nm of excitation and
emission slit width were used. Control experiments (buffer- only, protein- only,
and inhibitor- only) were confirmed that the increase of fluorescence is caused
by the fluorescence energy transfer.
The fluorescence intensity at 460 nm versus SKI concentration was fitted to the
quadratic equation below in GraphPad Prism to obtain apparent Kd.
+
(
I
[
]
Et]
[
+ K
d) −
F = F0 + A
√(
I
+
+ K
d)2 − 4 [Et] [I]
Et]
[
[
]
2[Et]
We simulated curves with tighter Kd for comparison to ensure that the fitted
curves are not step functions due to the high enzyme concentration (SI Appendix,
Fig. S10).
Crystallographic Methods. Crystals of AurA in complex with Mb1 and danus-
ertib were obtained by combining 2 µL of 300 µM (10 mg/mL) AurA + 315 µM
(4 mg/mL) Mb1 + 2 mM AMPPCP + 4 mM MgCl2 with 2 µL reservoir of 0.1 M
MES pH 6.5 + 0.2 M ammonium sulfate + 4% (v/v) 1,3- propanediol + 15 to
18% PEG 8,000. Streak seeding was used to obtain bigger crystals. Crystals
were grown at 18 °C by hanging drop. The crystals were transferred to a drop
of fresh reservoir for 30 s to remove excess nucleotides from the crystal sur-
face. Then, the crystals were transferred to a drop with reservoir with 1 mM
danusertib for 16 h of soaking. For cryoprotection, the crystals were transferred
into 17.5% PEG 400, 17.5% ethylene glycol, 15% reservoir, and 50% water
for a few seconds.
Crystals of AurA in complex with Mb2 and danusertib were obtained by com-
bining 0.5 µL of 300 µM (10 mg/mL) AurA + 315 µM (4 mg/mL) Mb2 + 1 mM
danusertib with 0.5 µL of 0.1 M BIS–TRIS pH 5.5 + 0.2 M Ammonium acetate + 25%
PEG3350. Crystals were grown at 18 °C by sitting drop. Crystals were harvested and
subsequently flash frozen.
Diffraction data for AurA- danusertib- Mb1 and AurA- danusertib- Mb2 were collected
at 100 K Advanced Light Source (Lawrence Berkeley National Laboratory) at beamlines
BL821 and BL501, respectively, and were integrated with XIA2 (60) or XDS (61). Data
were scaled and merged with AIMLESS (62). Initial phases were obtained with molec-
ular replacement programs MOLREP (63) and PHASER (64) by using AurA + Mb1
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+ AMPPCP (PDB- ID: 5G15) for AurA- danusertib- Mb1 structure and AurA + AMPPCP
(PDB- ID: 4C3R) and HA4Mb (PDB- ID: 3K2M) for AurA- danusertib- Mb2 structure
using two molecules each in the asymmetric unit. The structures were iteratively
refined using refmac and phenix.refine (Version1.19.1) (65) followed by manual
model building in COOT (66). Models were validated with MolProbity (67). Molecular
structures were represented and rendered with ChimeraX (68, 69).
Crystals of Abl64– 510 in complex with SKI and asciminib were obtained by combin-
ing 0.3 µL of 600 µM Abl64– 510 + 700 µM SKI + 700 µM asciminib (~32 mg/mL) in
5% DMSO with 0.4 µL reservoir of 0.1 M Tris–HCl pH 8 + 1.75 M Ammonium sulfate
+ 2% (v/v) polypropylene glycol 400 (PPG 400). The final stock of complex was con-
centrated from 1 µM Abl64– 510 with ~1.2 µM SKI/asciminib after incubation at 4 °C for
6 h. Screening around this condition yielded crystals in a transparent diamond- shaped
or plate- shaped crystals. Crystals were grown at 18 °C by sitting drop for a few days.
The crystals were transferred to a drop of fresh reservoir containing 20% xylitol with
matching concentration of inhibitors in 5% DMSO for few seconds for cryoprotection.
Single crystal X- ray diffraction data were collected at 100 K at Advanced Light
Source Berkeley (BL201). Data were integrated with XDS (61) as well as scaled
and merged with AIMLESS (62). Analysis of processed data with phenix.xtriage
(70) found outliers in the dataset and further revealed substantial translational
noncrystallographic symmetry with a Patterson peak of 56.63% height relative
to origin, complicating refinement. Initial phases were obtained by molecular
replacement (PHASER) (64) using Abl- nilotinib- asciminib (PDB- ID: 5MO4) as a
search model with two molecules in the asymmetric unit. The kinase domain,
SH3, and SH2 (regulatory domains) were individually placed during molecular
replacement. Refinement and manual model building were performed by
phenix.refine (version 1.19.1) and Coot, respectively (65, 66). Models were
validated with MolProbity (67). Molecular structures were represented and
rendered with ChimeraX (68, 69) and PyMol (71).
Data, Materials, and Software Availability. Structure factors and refined
coordinates obtained from X- ray crystallography have been deposited into the
Protein Data Bank (www.wwpdb.org) under PDB accession codes: 8SSP (72)
(AurA- danusertib- Mb1), 8SSO (73) (AurA- danusertib- Mb2), and 8SSN (74)
(Abl64– 510-SKI- asciminib).
ACKNOWLEDGMENTS. D.K. is supported by the Howard Hughes Medical
Institute (HHMI). The Berkeley Center for Structural Biology is supported by the
HHMI, Participating Research Team members, and the NIH, National Institute of
General Medical Sciences, ALS- ENABLE grant P30 GM124169. The Advanced Light
Source is a Department of Energy Office of Science User Facility under Contract
No. DE- AC02- 05CH11231. The Pilatus detector on beamline 2.0.1 was funded
under NIH grant S10OD021832. The Pilatus detector on beamline 5.0.1 was
funded under NIH grant S10OD026941.
Author affiliations: aDepartment of Biochemistry, Brandeis University, Waltham, MA
02454; and bHHMI, Brandeis University, Waltham, MA 02454
Author contributions: C.K., A.H., V.N., and D.K. designed research; C.K., H.L., A.H., S.K., and
V.N. performed research; C.K., H.L., A.H., S.K., V.N., and D.K. analyzed data; and C.K., H.L.,
and D.K. wrote the paper.
Competing interest statement: D.K. is co- founder of Relay Therapeutics and MOMA
Therapeutics. The remaining authors declare no competing interests.
1.
2.
3.
4.
5.
J.- P. Changeux, Allostery and the monod- wyman- changeux model after 50 years. Annu. Rev.
Biophys. 41, 103–133 (2012).
S. K. Hanks, A. M. Quinn, T. Hunter, The protein kinase family: Conserved features and deduced
phylogeny of the catalytic domains. Science 241, 42–52 (1988).
S. A. Rosenzweig, Acquired resistance to drugs targeting tyrosine kinases. Adv. Cancer Res. 138,
71–98 (2018).
S. Lu et al., Emergence of allosteric drug- resistance mutations: New challenges for allosteric drug
discovery. Drug Discov. Today 25, 177–184 (2020).
X. Lu, J. B. Smaill, K. Ding, New promise and opportunities for allosteric kinase inhibitors. Angew.
Chem. Int. Ed. Engl. 59, 13764–13776 (2020).
25. A. Zorba et al., Allosteric modulation of a human protein kinase with monobodies. Proc. Natl. Acad.
Sci. U.S.A. 116, 13937–13942 (2019).
26. R. Bayliss, T. Sardon, I. Vernos, E. Conti, Structural basis of Aurora- A activation by TPX2 at the mitotic
spindle. Mol. Cell 12, 851–862 (2003).
27. D. Fancelli et al., 1, 4, 5, 6- tetrahydropyrrolo [3, 4- c] pyrazoles: Identification of a potent Aurora
kinase inhibitor with a favorable antitumor kinase inhibition profile. J. Med. Chem. 49, 7247–7251
(2006).
28. E. W. Lake et al., Quantitative conformational profiling of kinase inhibitors reveals origins of
selectivity for Aurora kinase activation states. Proc. Natl. Acad. Sci. U.S.A. 115, E11894–E11903
(2018).
6. H. Mobitz, W. Jahnke, S. W. Cowan- Jacob, Expanding the opportunities for modulating kinase
29. V. Modi, R. L. Dunbrack Jr., Defining a new nomenclature for the structures of active and inactive
7.
targets with allosteric approaches. Curr. Topics Med. Chem. 17, 59–70 (2017).
J. Zhang et al., Targeting Bcr- Abl by combining allosteric with ATP- binding- site inhibitors. Nature
463, 501–506 (2010).
kinases. Proc. Natl. Acad. Sci. U.S.A. 116, 6818–6827 (2019).
30. V. Modi, R. L. Dunbrack Jr., Kincore: A web resource for structural classification of protein kinases
and their inhibitors. Nucleic Acids Res. 50, D654–D664 (2022).
8. D. Rea et al., A phase 3, open- label, randomized study of asciminib, a STAMP inhibitor, vs bosutinib
31. A. Zorba et al., Molecular mechanism of Aurora A kinase autophosphorylation and its allosteric
9.
in CML after 2 or more prior TKIs. Blood 138, 2031–2041 (2021).
T. P. Hughes et al., Asciminib in chronic myeloid leukemia after ABL kinase inhibitor failure.
New Engl. J. Med. 381, 2315–2323 (2019).
10. J. Schoepfer et al., Discovery of Asciminib (ABL001), an Allosteric Inhibitor of the Tyrosine Kinase
Activity of BCR- ABL1 (ACS Publications, 2018).
11. P. W. Manley, L. Barys, S. W. Cowan- Jacob, The specificity of asciminib, a potential treatment
for chronic myeloid leukemia, as a myristate- pocket binding ABL inhibitor and analysis of its
interactions with mutant forms of BCR- ABL1 kinase. Leukemia Res. 98, 106458 (2020).
12. A. A. Wylie et al., The allosteric inhibitor ABL001 enables dual targeting of BCR–ABL1. Nature 543,
733–737 (2017).
13. C. A. Eide et al., Combining the allosteric inhibitor asciminib with ponatinib suppresses emergence
of and restores efficacy against highly resistant BCR- ABL1 mutants. Cancer Cell 36, 431–443.e435
(2019).
activation by TPX2. Elife 3, e02667 (2014).
32. C. A. Dodson et al., Crystal structure of an Aurora- A mutant that mimics Aurora- B bound to
MLN8054: Insights into selectivity and drug design. Biochem. J. 427, 19–28 (2010).
33. D. E. Anderson, W. J. Becktel, F. W. Dahlquist, pH- induced denaturation of proteins: A single salt
bridge contributes 3–5 kcal/mol to the free energy of folding of T4 lysozyme. Biochemistry 29,
2403–2408 (1990).
34. L. Skora, J. Mestan, D. Fabbro, W. Jahnke, S. Grzesiek, NMR reveals the allosteric opening and
closing of Abelson tyrosine kinase by ATP- site and myristoyl pocket inhibitors. Proc. Natl. Acad. Sci.
U.S.A. 110, E4437–E4445 (2013).
35. B. Nagar et al., Structural basis for the autoinhibition of c- Abl tyrosine kinase. Cell 112, 859–871
(2003).
36. T. Saleh, P. Rossi, C. G. Kalodimos, Atomic view of the energy landscape in the allosteric regulation of
Abl kinase. Nat. Struct. Mol. Biol. 24, 893–901 (2017).
14. K. V. Gleixner et al., Asciminib and ponatinib exert synergistic anti- neoplastic effects on CML cells
37. W. Jahnke et al., Binding or bending: Distinction of allosteric Abl kinase agonists from antagonists
expressing BCR- ABL1T315I- compound mutations. Am. J. Cancer Res. 11, 4470 (2021).
by an NMR- based conformational assay. J. Am. Chem. Soc. 132, 7043–7048 (2010).
15. T. S. Beyett et al., Molecular basis for cooperative binding and synergy of ATP- site and allosteric EGFR
38. T. K. Johnson et al., Synergy and antagonism between allosteric and active- site inhibitors of abl
inhibitors. Nat. Commun. 13, 1–11 (2022).
tyrosine kinase. Angew. Chem. 133, 20358–20361 (2021).
16. M. Fodor et al., Dual allosteric inhibition of SHP2 phosphatase. ACS Chem. Biol. 13, 647–656
39. T. Xie, T. Saleh, P. Rossi, C. G. Kalodimos, Conformational states dynamically populated by a kinase
(2018).
17. J. Colicelli, ABL tyrosine kinases: Evolution of function, regulation, and specificity. Sci. Signaling 3,
re6 (2010).
18. N. Ertych et al., Increased microtubule assembly rates influence chromosomal instability in
colorectal cancer cells. Nat. Cell Biol. 16, 779–791 (2014).
determine its function. Science 370, eabc2754 (2020).
40. O. Hantschel et al., A myristoyl/phosphotyrosine switch regulates c- Abl. Cell 112, 845–857 (2003).
41. G. Tian, M. Cory, A. A. Smith, W. B. Knight, Structural determinants for potent, selective dual site
inhibition of human pp60 c- src by 4- anilinoquinazolines. Biochemistry 40, 7084–7091 (2001).
42. J. Bain et al., The selectivity of protein kinase inhibitors: A further update. Biochem. J. 408, 297–315
19. H. Zhou et al., Tumour amplified kinase STK15/BTAK induces centrosome amplification, aneuploidy
(2007).
and transformation. Nat. Genet. 20, 189–193 (1998).
43. Y. Choi et al., N- myristoylated c- Abl tyrosine kinase localizes to the endoplasmic reticulum upon
20. R. Du, C. Huang, K. Liu, X. Li, Z. Dong, Targeting AURKA in cancer: Molecular mechanisms and
binding to an allosteric inhibitor. J. Biol. Chem. 284, 29005–29014 (2009).
opportunities for cancer therapy. Mol. Cancer 20, 1–27 (2021).
44. D. Fabbro et al., Inhibitors of the Abl kinase directed at either the ATP- or myristate- binding site.
21. C. O. De Groot et al., A cell biologist’s field guide to aurora kinase inhibitors. Front. Oncol. 5, 285
Biochim. Biophys. Acta 1804, 454–462 (2010).
(2015).
45. W. Qiang et al., Mechanisms of resistance to the BCR- ABL1 allosteric inhibitor asciminib. Leukemia
22. W. Pitsawong et al., Dynamics of human protein kinase Aurora A linked to drug selectivity. Elife 7,
31, 2844–2847 (2017).
e36656 (2018).
46. T. Xie, T. Saleh, P. Rossi, D. Miller, C. G. Kalodimos, Imatinib can act as an Allosteric Activator of Abl
23. J. A. Gilburt et al., Dynamic equilibrium of the aurora A kinase activation loop revealed by single-
Kinase. J. Mol. Biol. 434, 167349 (2022).
molecule spectroscopy. Angew. Chem. 129, 11567–11572 (2017).
24. S. Cyphers, E. F. Ruff, J. M. Behr, J. D. Chodera, N. M. Levinson, A water- mediated allosteric network
governs activation of Aurora kinase A. Nat. Chem. Biol. 13, 402 (2017).
47. R. Sonti, I. Hertel- Hering, A. J. Lamontanara, O. Hantschel, S. Grzesiek, ATP site ligands determine
the assembly state of the Abelson kinase regulatory core via the activation loop conformation. J. Am.
Chem. Soc. 140, 1863–1869 (2018).
10 of 11 https://doi.org/10.1073/pnas.2304611120
pnas.org
48. S. Grzesiek, J. Paladini, J. Habazettl, R. Sonti, Imatinib disassembles the regulatory core of Abelson
kinase by binding to its ATP site and not by binding to its myristoyl pocket. Magn. Res. 3, 91–99 (2022).
49. C. To et al., Single and dual targeting of mutant EGFR with an allosteric inhibitor. Cancer Discov. 9,
926–943 (2019).
61. W. Kabsch, XDS. Acta Crystallogr. D Biol. Crystallogr. 66, 125–132 (2010).
62. P. R. Evans, G. N. Murshudov, How good are my data and what is the resolution? Acta Crystallogr.
D Biol. Crystallogr. 69, 1204–1214 (2013).
63. A. Vagin, A. Teplyakov, MOLREP: An automated program for molecular replacement. J. Appl.
50. P. Eastman et al., OpenMM 7: Rapid development of high performance algorithms for molecular
Crystallogr. 30, 1022–1025 (1997).
dynamics. PLoS Comput. Biol. 13, e1005659 (2017).
51. P. R. Arantes, M. D. Polêto, C. Pedebos, R. Ligabue- Braun, Making it rain: Cloud- based molecular
simulations for everyone. J. Chem. Inf. Model. 61, 4852–4856 (2021).
52. D. A. Case et al., Amber 2021 (University of California, San Francisco, 2021).
53. J. A. Maier et al., ff14SB: Improving the accuracy of protein side chain and backbone parameters
64. A. J. McCoy et al., Phaser crystallographic software. J. Appl. Crystallogr. 40, 658–674 (2007).
65. P. V. Afonine et al., Towards automated crystallographic structure refinement with phenix. refine.
Acta Crystallogr. D Biol. Crystallogr. 68, 352–367 (2012).
66. P. Emsley, K. Cowtan, Coot: Model- building tools for molecular graphics. Acta Crystallogr. D Biol.
Crystallogr. 60, 2126–2132 (2004).
from ff99SB. J. Chem. Theory Comput. 11, 3696–3713 (2015).
67. C. J. Williams et al., MolProbity: More and better reference data for improved all- atom structure
54. X. He, V. H. Man, W. Yang, T.- S. Lee, J. Wang, A fast and high- quality charge model for the next
validation. Protein Sci. 27, 293–315 (2018).
generation general AMBER force field. J. Chem. Phys. 153, 114502 (2020).
68. E. F. Pettersen et al., UCSF ChimeraX: Structure visualization for researchers, educators, and
55. H. J. Berendsen, J. P. Postma, W. F. van Gunsteren, J. Hermans, “Interaction models for water in
developers. Protein Sci. 30, 70–82 (2021).
relation to protein hydration” in Intermolecular Forces, B. Pullman, Eds. (Springer, Dordrecht, 1981),
https://doi.org/10.1007/978- 94- 015- 7658- 1_21. pp. 331–342.
69. T. D. Goddard et al., UCSF ChimeraX: Meeting modern challenges in visualization and analysis.
Protein Sci. 27, 14–25 (2018).
56. W. L. Jorgensen, J. Chandrasekhar, J. D. Madura, R. W. Impey, M. L. Klein, Comparison of simple
70. P. D. Adams et al., PHENIX: A comprehensive Python- based system for macromolecular structure
potential functions for simulating liquid water. J. Chem. Phys. 79, 926–935 (1983).
solution. Acta Crystallogr. D Biol. Crystallogr. 66, 213–221 (2010).
57. P. Turq, F. Lantelme, H. L. Friedman, Brownian dynamics: Its application to ionic solutions. J. Chem.
71. W. L. DeLano, Pymol: An open- source molecular graphics tool. CCP4 Newsl. Protein Crystallogr. 40,
Phys. 66, 3039–3044 (1977).
82–92 (2002).
58. J. Åqvist, P. Wennerström, M. Nervall, S. Bjelic, B. O. Brandsdal, Molecular dynamics simulations of
72. C. Kim et al., AurA bound to danusertib and activating monobody Mb1. Protein Data Bank. https://
water and biomolecules with a Monte Carlo constant pressure algorithm. Chem. Phys. Lett. 384,
288–294 (2004).
59. W. Humphrey, A. Dalke, K. Schulten, VMD: Visual molecular dynamics. J. Mol. Graphics 14, 33–38 (1996).
60. G. Winter, xia2: An expert system for macromolecular crystallography data reduction. J. Appl.
www.rcsb.org/structure/8SSP. Accessed 8 May 2023.
73. C. Kim et al., AurA bound to danusertib and inhibiting monobody Mb2. Protein Data Bank. https://
www.rcsb.org/structure/8SSO. Accessed 8 May 2023.
74. C. Kim et al., Abl kinase in complex with SKI and asciminib. Protein Data Bank. https://www.rcsb.org/
Crystallogr. 43, 186–190 (2010).
structure/8SSN. Accessed 8 May 2023.
PNAS 2023 Vol. 120 No. 34 e2304611120
https://doi.org/10.1073/pnas.2304611120 11 of 11
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10.1001_jamanetworkopen.2019.12416.pdf
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Original Investigation | Oncology
Common Secondary Genomic Variants Associated With Advanced
Epithelioid Hemangioendothelioma
Nathan D. Seligson, PharmD; Achal Awasthi, MS; Sherri Z. Millis, PhD; Brian K. Turpin, DO; Christian F. Meyer, MD, PhD; Anne Grand'Maison, MD; David A. Liebner, MD;
John L. Hays, MD, PhD; James L. Chen, MD
Abstract
IMPORTANCE Epithelioid hemangioendothelioma (EHE) is a rare, malignant vascular sarcoma
characterized in most cases by a WWTR1-CAMTA1 fusion. The clinical course of EHE exhibits a dual
nature. The condition is often indolent but can rapidly grow and metastasize unpredictably. No
biomarkers to date are available to predict this phenotype. The hypothesis of this study was that
better defining the genomic landscape of EHE using next-generation sequencing could offer
additional therapies and insight into clinical outcomes.
OBJECTIVE To characterize secondary EHE genomic alterations and their association with clinical
outcomes.
Key Points
Question Can next-generation
sequencing reveal rationale for the
dichotomous biological activity of
epithelioid hemangioendothelioma
(EHE) while illuminating potentially
actionable alterations?
Findings In a cross-sectional study of
next-generation sequencing results
collected from 49 participants
diagnosed with EHE, more than half of
DESIGN, SETTING, AND PARTICIPANTS Multicenter, cross-sectional, retrospective study of next-
patients with EHE profiled exhibited
generation sequencing results collected from participants diagnosed with EHE. Data were abstracted
pathogenic genomic variants in addition
between May 1, 2013, and May 31, 2019. This analysis was conducted from January through June
2019. Summary genomic data were provided by commercial genomic testing companies.
MAIN OUTCOMES AND MEASURES Presence or absence of secondary pathogenic genomic
variants and their association with disease stage and clinical features.
RESULTS A total of 49 participants with EHE were assessed for the presence or absence of
secondary genomic variants. Of these, 32 (65.3%) were female; the mean (SD) age at diagnosis was
49.9 (18.3) years (range, 11-81 years). In all, 46 participants (93.9%) had confirmed WWTR1-CAMTA1
fusion; 26 participants (57.1%) exhibited a pathogenic genomic variant secondary to the WWTR1-
CAMTA1 fusion; and 9 participants (18.4%) exhibited potentially targetable genomic variants.
Commonly altered genes included CDKN2A/B, RB1, APC, and FANCA. Participants older than 45 years
at diagnosis had an increased prevalence of secondary genomic variants that was not statistically
significant (65.6% vs 38.5%; difference, 27.1%; 95% CI, −3.5% to 58.0%; P = .16) and were more
likely to have a clinically targetable variant (28.1% vs 0%; difference, 28.1%; 95% CI, 11.2%-40.2%;
P = .03). In 14 participants with clinical data available, those with stage III/IV EHE were more likely to
exhibit a secondary pathogenic genomic variant (80% vs 0%; difference, 80%; 95% CI,
55.2%-100%; P = .006). Participants with stage III/IV EHE were diagnosed at an older age (mean
[SD] age, 54.6 [14.1] years vs 31.7 [16.0] years; P = .05) and had elevated WWTR1-CAMTA1 fusion
expression that was not statistically significant (mean [SD] expression, 677 [706] copies vs 231 [213]
copies; P = .20).
CONCLUSIONS AND RELEVANCE Although EHE exhibits few secondary genomic variants,
presence of key secondary variants may be prognostic for aggressive EHE. Further research is
(continued)
to the WWTR1-CAMTA1 fusion, with
18.4% of participants exhibiting a
potentially targetable variant.
Participants with stage III/IV EHE were
more likely to exhibit a secondary
pathogenic variant.
Meaning Next-generation sequencing
may identify secondary genomic
variants that are associated with EHE
aggressiveness; additionally, these
variants may represent potential
therapeutic targets.
+ Supplemental content
Author affiliations and article information are
listed at the end of this article.
Open Access. This is an open access article distributed under the terms of the CC-BY License.
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JAMA Network Open | Oncology
Secondary Genomic Variants Associated With Epithelioid Hemangioendothelioma
Abstract (continued)
needed to confirm this finding and determine whether more intensive upfront treatment is
necessary for these patients.
JAMA Network Open. 2019;2(10):e1912416. doi:10.1001/jamanetworkopen.2019.12416
Introduction
Epithelioid hemangioendothelioma (EHE) is a rare vascular sarcoma with a prevalence of
approximately 1 per 1 000 000 persons.1 A hallmark molecular characteristic of EHE is the fusion of
the WWTR1 and CAMTA1 genes, present in 90% of EHE cases and pathognomonic for disease.2-4 The
clinical course of EHE may be either indolent (often locally limited) or aggressive (characterized by
local invasiveness or metastasis); however, indolent disease can unpredictably become aggressive.
Key molecular biomarkers indicative of EHE course have yet to be established5; however, mitotic
count and tumor size have been associated with prognosis.6 While limited disease can be amenable
to observation or local therapy, metastatic EHE is typically resistant to chemotherapy and carries a
poor prognosis. Treatment for advanced-stage EHE is not well established.7 Pathway-specific
targeted therapies hold some promise, but improved systemic therapies are still needed.8
Few reports describe the genomic landscape of EHE outside of the driver fusions with their
clinical correlates and have described a mostly quiet genome.9 In this article, we present the largest
assessment, to our knowledge, of the clinicogenomic landscape of WWTR1-CAMTA1 (WC) fusion–associated EHE.
Methods
Data were abstracted between May 1, 2013, and May 31, 2019. This analysis was conducted from
January through June 2019. Summary genomic data was provided by commercial genomic testing
companies. This study is reported in accordance with the Strengthening the Reporting of Genetic
Association Studies (STREGA) reporting guideline.10
Retrospective Analysis
Approval for the retrospective collection of genomic data from Foundation Medicine, including a
waiver of informed consent and HIPAA waiver of authorization, was obtained from the Western
Institutional Review Board. Participants diagnosed with EHE were identified from retrospective
sarcoma studies at The Ohio State University James Comprehensive Cancer Center, Roswell Park
Cancer Institute, Johns Hopkins Medical Center, and Cincinnati Children's Hospital Medical Center.
Waiver of informed consent for the original studies was approved by local institutional review boards.
Participant characteristics, tumor stage at time of biopsy, and genomic data were extracted for this
study. All participants identified were included. Sample size was based on data available, and no
sample size calculations were performed.
Genomic Analysis
Genomic profiling data were collected from 46 patients with EHE who underwent genomic
sequencing by Foundation Medicine (FMI)11 and 3 who underwent genomic sequencing by
OmniSeq.12 Participants’ WC fusion status was only confirmed for those profiled by FMI. The FMI
FoundationOne Heme panel includes coverage of 426 fully sequenced genes, rearrangement of 32
genes, and fusions of 282 genes. The OmniSeq panel includes coverage of 26 fully sequenced genes,
hot spots in 73 genes, copy number variants in 52 genes, and fusions of 23 genes. Full genomic
coverage of both targeted next-generation platforms is outlined in eTable 1 in the Supplement.
Pathogenicity of genomic variants for participants sequenced by OmniSeq was determined via the
COSMIC database.13
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Secondary Genomic Variants Associated With Epithelioid Hemangioendothelioma
Pathogenic variants and variants of unknown significance (VUS) were included in our analysis.
Genomic variants identified apart from the WC fusion were considered secondary variants. Gene
enrichment was performed using Superpaths14 (eTable 2 in the Supplement). Targetable variants
were defined using OncoKB classification as previously described.15
Statistical Analysis
All data were analyzed in R statistical software version 3.4.3 (R Project for Statistical Computing) or
Prism analysis and graphing software version 8.0.0 (GraphPad). For continuous variables, t tests
were used. For categorical variables, χ2 tests were used to generate P values and a test of proportions
was used to generate 95% confidence intervals of proportion difference. Continuous data are
presented as mean (SD) unless otherwise stated and 2-tailed P values (cid:2).05 were considered
statistically significant.
Results
Patient Characteristics
Of 49 participants with EHE analyzed (32 [65.3%] female; mean [SD] age at diagnosis, 49.9 [18.3]
years [range, 11-81 years]), 46 (93.9%) had WC fusion confirmation. These participants were primarily
female (29 patients [63.0%]), and the mean (SD) age at diagnosis was 50.2 (18.5) years (range, 11-81
years). Full demographic characteristics are available in the Table. Participants had a low tumor
mutation burden (mean [SD] mutations per megabase, 1.1 [1.5]). Quantification of WC expression
from available participants demonstrated a right-skewed, log-normal distribution (eFigure 1A and B
in the Supplement).
EHE and Secondary Alteration in Established Oncogenic Pathways
In all, 21 participants with EHE (42.9%) exhibited a WC fusion as a sole pathogenic genomic variant.
A single additional pathogenic variant was identified in 14 participants (28.6%), while 2 or more
pathogenic variants were identified in an additional 14 participants. The most commonly identified
secondary variants were seen in CDKN2A (6 pathogenic, 1 VUS), CDKN2B (4 pathogenic, 0 VUS), RB1
(2 pathogenic, 1 VUS), ATRX (2 pathogenic, 1 VUS), APC (2 pathogenic, 1 VUS), and FANCA (2
pathogenic, 0 VUS) (eTable 3 in the Supplement). Pathways identified as altered in EHE included cell
Table. Demographic Characteristics
Characteristic
No. (%)
WWTR1-CAMTA1
Fusion (n = 46)
No WWTR1-CAMTA1
Fusion (n = 3)
Total (N = 49)
Age at diagnosis, mean (SD) [range], y
50.2 (18.5) [11-81]
45.3 (18.7) [25-62]
49.9 (18.3) [11-81]
Sex
Male
Female
Microsatellite status
Microsatellite stable
Not tested
Tumor mutation burden, mean (SD),
mutations per megabase
Pathogenic genomic variants
Data not available
WWTR1-CAMTA1 only
Additional variants, No.
1
2
≥3
17 (37.0)
29 (63.0)
32 (70.0)
14 (30.0)
1.1 (1.5)
0
20 (43.5)
14 (30.4)
9 (19.5)
3 (6.6)
0
3 (100)
0
3 (100)
ND
1 (33.3)
0
0
1 (33.3)
1 (33.3)
17 (34.7)
32 (65.3)
32 (65.3)
17 (34.7)
1.1 (1.5)
1 (2.0)
20 (40.8)
14 (28.6)
10 (20.4)
4 (8.2)
Abbreviation: ND, no data.
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Secondary Genomic Variants Associated With Epithelioid Hemangioendothelioma
cycle regulation, growth signaling, epigenetic modulators, and DNA damage repair (Figure 1A).
Twenty-six participants (57.1%) exhibited a pathogenic genomic variant secondary to the WC fusion,
and 9 participants (18.4%) exhibited genomic variants in multiple pathways. Commonly altered
genes included CDKN2A/B, RB1, APC, and FANCA. Sex did not segregate secondary genomic variant
frequency (47% male vs 62% female; difference, 15%; 95% CI, 13.6%-44.5%; P = .32) (Figure 1B).
Older Age and Increased Genomic Complexity
Age at diagnosis demonstrated a bimodal distribution with a division at 45 years (log-likelihood
1-component model, −207.2 vs 2-component model, −197.6; difference, 9.6; 95% CI, 0.0-23.8;
P = .02) (eFigure 2 and eMethods in the Supplement). Participants aged 45 years or older at
diagnosis had a higher prevalence of pathogenic secondary genomic variants that was not
statistically significant (65.6% vs 38.5%; difference, 27.1%; 95% CI, −3.5% to 58.0%; P = .16)
(Figure 1C). Notably, variants in the most commonly altered gene in this data set, CDKN2A, were
exclusively seen in participants aged 45 years or older at diagnosis (eTable 4 in the Supplement).
A total of 19 targetable variants were identified by OncoKB (Figure 2A; eTable 5 in the
Supplement). Pathogenic genomic variants identified to be targetable were seen in 9 participants
(18.4%), with 5 participants (10.2%) harboring variants associated with US Food and Drug
Administration–approved therapies. Participants aged 45 years or older at diagnosis were more likely
to have a targetable pathogenic genomic variant (28.1% vs 0%; difference, 28.1%; 95% CI,
11.2%-40.2%; P = .03) (Figure 2B).
Presence of Secondary Alterations and Advanced-Stage Disease
To assess the clinicogenomic landscape of EHE, 14 participants with clinical data available were
identified (4 with stage I/II, 10 with stage III/IV). Participants with stage III/IV EHE were significantly
more likely to exhibit a pathogenic secondary genomic variant (80% vs 0%; difference, 80%; 95%
CI, 55.2%-100%; P = .006) (Figure 3A and C). Additionally, those with stage III/IV EHE were older
at diagnosis (mean [SD] age, 54.6 [14.1] years vs 31.7 [16.0] years; P = .05) (Figure 3B) and had greater
WC fusion expression that was not statistically significant (mean [SD], 677 [706] vs 231 [213] copies;
P = .20) (eFigure 1C in the Supplement).
Figure 1. Genomic Landscape of Epithelioid Hemangioendothelioma
A
Genetic variants and pathways
57.1%
Cell Cycle Regulation
Growth Signaling
Epigenetic Modulators
DNA Damage Repair
Other
B
Variants by sex
y
r
a
d
n
o
c
e
S
c
i
n
e
g
o
h
t
a
P
%
,
t
n
a
i
r
a
V
c
i
m
o
n
e
G
100
80
60
40
20
0
P =.32
Participants
C
Variants by age
y
r
a
d
n
o
c
e
S
c
i
n
e
g
o
h
t
a
P
%
,
t
n
a
i
r
a
V
c
i
m
o
n
e
G
100
80
60
40
20
0
P =.16
Female
Male
Sex
<45
≥45
Age at Diagnosis, y
A, Heatmap of the presence (shaded) or absence
(white) of known genomic variants based on their
shared pathways. While a majority of epithelioid
hemangioendothelioma tumors demonstrated a
secondary genomic variant (57.1%), few tumors
exhibited genomic variants in multiple pathway
categories. B, Pathogenic secondary genomic variants
were more common in female participants, but the
difference was not statistically significant. C,
Pathogenic secondary genomic variants were also
more common in participants aged 45 years or older at
diagnosis, but the difference was not statistically
significant.
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Secondary Genomic Variants Associated With Epithelioid Hemangioendothelioma
Discussion
Epithelioid hemangioendothelioma is characterized molecularly by its primary gene fusions, but
owing to the rarity of this disease, little is known regarding the clinical significance of secondary
genomic alterations. Here, we present the largest assessment, to our knowledge, of the genomic
landscape of WC fusion–positive EHE. Of the 49 participants included in this study, 46 were
positively identified to have the WC fusion with no additional fusions detected. An additional 3
participants with EHE were included after histopathological review. The less common EHE fusion,
YAP1-TFE3,16 was not explicitly tested for by the OmniSeq panel. No participants tested with the FMI
panel were identified to have concurrent WC and YAP1-TFE3 fusions. We have included this OmniSeq
data as well, given the high likelihood of a WC fusion.
Although half of all EHE tumors included in this study exhibited a pathogenic secondary
genomic variant, it was rare for a tumor to have 2 or more secondary variants present. The identified
variants are linked to well-studied oncogenic pathways. The most prevalent gene alteration identified
in this study was deletion of the CDKN2A/B locus, corresponding to well-studied tumor suppressor
genes responsible for regulation of the cell cycle and p53-mediated apoptosis. The data available
here are unable to test the importance of CDKN2A/B loss in the natural history or development of
EHE. Further study is necessary to identify the role of CDKN2A/B loss in EHE. In other sarcomas,
including gastrointestinal stromal tumors, loss of CDKN2A expression is associated with poor
prognosis and a greater potential for metastatic disease.17-19 The biological meaning of CDKN2A/B
loss in EHE requires further elucidation.
Approximately 20% of EHEs studied exhibited a clinically actionable secondary genomic
alteration. Further assessment identified an enriched prevalence in participants aged 45 years or
older at diagnosis. In our clinically enriched subset, stage III/IV EHE was strongly associated with the
presence of pathogenic secondary genomic variants and older age. Importantly, this was true when
either including or excluding participants lacking confirmation of the WC fusion. Taken together,
these data suggest that the fusion event may represent the first step in the development of EHE with
a secondary genomic change required for tumor aggressiveness. This has several potential practice
implications: for one, participants with newly diagnosed EHE could be considered for genomic
profiling to evaluate the presence or absence of secondary alterations; in addition, participants with
EHE with secondary alterations may potentially be considered for more aggressive treatment.
Prospective clinical trials will need to confirm this guidance.
Figure 2. Targetable Genomic Variants in Epithelioid Hemangioendothelioma
A
Targetable genomic variants
B
Targetable variants by age
CDKN2A
ROS1
ERBB2
IDH1
TSC2
TSC1
BRCA1
BRCA2
NTRK1
PTCH1
Participants
VUS
Pathogenic variant
%
,
t
n
a
i
r
a
V
c
i
m
o
n
e
G
e
l
b
a
t
e
g
r
a
T
30
25
20
15
10
5
0
P =.03
Age at diagnosis
<45 y
≥45 y
P =.63
Pathogenic
VUS
Variant Type
A, Heatmap of the presence of targetable pathogenic genomic variants (dark blue),
targetable variants of unknown significance (VUS) (light blue), or the absence of
targetable genomic variants (white) as defined by OncoKB. B, Participants aged 45 years
or older at diagnosis were more likely to exhibit a targetable pathogenic genomic variant,
but equally likely to demonstrate a targetable VUS compared with participants younger
than 45 years at diagnosis.
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JAMA Network Open | Oncology
Secondary Genomic Variants Associated With Epithelioid Hemangioendothelioma
Limitations
To our knowledge, this is the largest genomic assessment of EHE to date; however, limitations
inherent to studies of extremely rare diseases apply here. As tumor sequencing is not a standard
recommendation in the treatment of EHE, the data available may suffer from selection bias toward
more aggressive EHE. Additionally, the 2 next-generation sequencing platforms used to test for
genomic variants are targeted to a specific set of genes and vary significantly in their coverage.
Whole-genome sequencing approaches may provide a more comprehensive assessment; however,
the targeted panels used here provide strong, validated assessment of genes known to have
biological and clinical associations with cancer. It is important to note that participants who
underwent sequencing by FMI and OmniSeq exhibited similar trends in association between genomic
variants and tumor stage. Secondary genomic variants are certainly important in EHE; however, the
prevalence of these alterations may be lower in a prospectively curated data set. Additionally, this
data set is limited temporally and is unable to differentiate between passenger and active genomic
variants. Further longitudinal research is necessary to define the genomic progression of EHE.
Figure 3. Prevalence of Pathogenic Secondary Genomic Variants
A
Variants by stage
B
Age at diagnosis and stage
P =.006
I/II
III/IV
Stage
y
r
a
d
n
o
c
e
S
c
i
n
e
g
o
h
t
a
P
%
,
t
n
a
i
r
a
V
c
i
m
o
n
e
G
100
80
60
40
20
0
Specific variants by stage
C
I
I
/
I
e
g
a
t
S
V
I
/
I
I
I
e
g
a
t
S
P =.05
Any variant
Growth signaling
Epigenetics
Cell cycle
DNA damage
Other
y
,
s
i
s
o
n
g
a
i
D
t
a
e
g
A
80
60
40
20
0
I/II
III/IV
Stage
VUS
Pathogenic variant
a
a
0
a
5
10
15
Secondary Variants, No.
4
A
C
R
A
M
S
1
T
O
P
3
L
L
M
8
9
P
U
N
2
K
R
R
L
1
D
R
A
B
4
M
D
M
K
S
A
P
2
T
E
T
1
C
S
T
K
C
I
2
B
B
R
E
A
C
N
A
F
B
2
N
K
D
C
1
H
C
T
O
N
6
3
D
C
0
0
3
P
E
1
H
L
M
N
L
E
R
P
B
B
E
R
C
1
S
O
R
2
L
L
M
M
L
B
1
H
D
I
A
I
B
K
F
N
A
2
N
K
D
C
C
P
A
1
P
I
R
B
X
3
X
D
D
M
T
A
1
H
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T
P
1
A
N
N
T
C
2
K
2
P
A
M
1
M
R
B
P
3
0
7
F
N
Z
C
P
A
X
R
T
A
1
H
C
T
O
N
M
T
A
7
W
X
B
F
A
2
N
K
D
C
T
R
E
T
3
A
T
A
G
2
A
C
R
B
0
9
P
S
H
2
M
D
M
1
B
H
P
E
6
K
3
P
A
M
4
K
2
P
A
M
1
K
3
P
A
M
3
F
C
T
2
K
E
H
C
A
T
I
I
C
N
C
L
F
4
2
1
R
P
G
2
H
C
T
O
N
1
M
D
R
P
B
2
F
E
M
C
6
4
M
A
F
1
H
C
W
Y
L
F
E
1
H
1
T
S
I
H
Variant
A, Stage III/IV tumors were more likely to harbor a pathogenic secondary genomic
variant. B, Stage III/IV tumors were associated with older age at diagnosis. Horizontal
lines indicate group median. C, Heatmap of secondary genomic variants with total
secondary variants noted on the rightmost y-axis. VUS indicates variant of unknown
significance.
a Three participants clinically diagnosed with stage III/IV epithelioid
hemangioendothelioma with genomic profiling data available but lacking confirmation
of a WWTR1-CAMTA1 fusion were included in a secondary clinical assessment. These
participants exhibited similar characteristics to other participants previously described.
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JAMA Network Open | Oncology
Secondary Genomic Variants Associated With Epithelioid Hemangioendothelioma
Conclusions
In this study, more than half of participants with EHE and WWTR1-CAMTA1 fusion exhibited a
secondary genomic variant, with up to 20% that are potentially clinically actionable. Participants
with advanced-stage EHE were significantly more likely to have secondary genomic variants.
Prospective, multigroup clinical trials are necessary to confirm these findings and their clinical utility.
ARTICLE INFORMATION
Accepted for Publication: August 12, 2019.
Published: October 2, 2019. doi:10.1001/jamanetworkopen.2019.12416
Open Access: This is an open access article distributed under the terms of the CC-BY License. © 2019 Seligson ND
et al. JAMA Network Open.
Corresponding Author: James L. Chen, MD, Division of Medical Oncology, Departments of Internal Medicine and
Biomedical Informatics, The Ohio State University, A445A, 320 W 10th Ave, Columbus, OH 43210 (james.chen@
osumc.edu).
Author Affiliations: The Ohio State University Wexner Medical Center and Comprehensive Cancer Center, The
Ohio State University, Columbus (Seligson); Department of Biomedical Informatics, The Ohio State University,
Columbus (Awasthi, Liebner, Chen); Foundation Medicine Inc, Cambridge, Massachusetts (Millis); Division of
Pediatric Hematology/Oncology, Cincinnati Children's Hospital Medical Center, Cincinnati, Ohio (Turpin); Division
of Medical Oncology, Johns Hopkins Medical Center, Baltimore, Maryland (Meyer); Department of Medical
Oncology, Roswell Park Cancer Center, Buffalo, New York (Grand'Maison); Division of Medical Oncology,
Department of Internal Medicine, The Ohio State University, Columbus (Liebner, Hays, Chen); Division of
Gynecologic Oncology, Department of Obstetrics and Gynecology, The Ohio State University, Columbus (Hays).
Author Contributions: Drs Seligson and Chen had full access to all of the data in the study and take responsibility
for the integrity of the data and the accuracy of the data analysis.
Concept and design: Seligson, Awasthi, Millis, Hays, Chen.
Acquisition, analysis, or interpretation of data: All authors.
Drafting of the manuscript: Seligson, Awasthi, Chen.
Critical revision of the manuscript for important intellectual content: Seligson, Millis, Turpin, Meyer, Grand'Maison,
Liebner, Hays, Chen.
Statistical analysis: Seligson, Awasthi, Millis, Chen.
Administrative, technical, or material support: Seligson, Millis, Meyer, Hays, Chen.
Supervision: Seligson, Grand'Maison, Liebner, Hays, Chen.
Conflict of Interest Disclosures: Dr Millis reported employment by Foundation Medicine outside the submitted
work. Dr Meyer reported serving on the advisory board of Bayer Pharmaceuticals and serving as a speaker for
Novartis regarding pazopanib outside the submitted work. Dr Liebner reported personal fees from Foundation
Medicine outside the submitted work. Dr Chen reported receiving personal fees from Foundation Medicine
outside the submitted work. No other disclosures were reported.
REFERENCES
1. Sardaro A, Bardoscia L, Petruzzelli MF, Portaluri M. Epithelioid hemangioendothelioma: an overview and update
on a rare vascular tumor. Oncol Rev. 2014;8(2):259. doi:10.4081/oncol.2014.259
2. Errani C, Zhang L, Sung YS, et al. A novel WWTR1-CAMTA1 gene fusion is a consistent abnormality in epithelioid
hemangioendothelioma of different anatomic sites. Genes Chromosomes Cancer. 2011;50(8):644-653. doi:10.
1002/gcc.20886
3. Tanas MR, Sboner A, Oliveira AM, et al. Identification of a disease-defining gene fusion in epithelioid
hemangioendothelioma. Sci Transl Med. 2011;3(98):98ra82. doi:10.1126/scitranslmed.3002409
4. Doyle LA, Fletcher CD, Hornick JL. Nuclear expression of CAMTA1 distinguishes epithelioid
hemangioendothelioma from histologic mimics. Am J Surg Pathol. 2016;40(1):94-102. doi:10.1097/PAS.
0000000000000511
5. Rosenberg A, Agulnik M. Epithelioid hemangioendothelioma: update on diagnosis and treatment. Curr Treat
Options Oncol. 2018;19(4):19. doi:10.1007/s11864-018-0536-y
JAMA Network Open. 2019;2(10):e1912416. doi:10.1001/jamanetworkopen.2019.12416 (Reprinted)
October 2, 2019
7/8
Downloaded from jamanetwork.com by guest on 12/03/2024
JAMA Network Open | Oncology
Secondary Genomic Variants Associated With Epithelioid Hemangioendothelioma
6. Deyrup AT, Tighiouart M, Montag AG, Weiss SW. Epithelioid hemangioendothelioma of soft tissue: a proposal
for risk stratification based on 49 cases. Am J Surg Pathol. 2008;32(6):924-927. doi:10.1097/PAS.
0b013e31815bf8e6
7. Amin RM, Hiroshima K, Kokubo T, et al. Risk factors and independent predictors of survival in patients with
pulmonary epithelioid haemangioendothelioma: review of the literature and a case report. Respirology. 2006;11
(6):818-825. doi:10.1111/j.1440-1843.2006.00923.x
8. Trametinib in treating patients with epithelioid hemangioendothelioma that is metastatic, locally advanced, or
cannot be removed by surgery. https://clinicaltrials.gov/ct2/show/NCT03148275. Accessed March 15, 2019.
9. Rubin B, Ali S, Subbiah B. Cell cycle dysregulation in epithelioid hemangioendothelioma. Paper presented at:
Annual Meeting of The Connective Tissue Oncology Society; November 9, 2017; Maui, HI.
10. Little J, Higgins JP, Ioannidis JP, et al. STrengthening the REporting of Genetic Association studies (STREGA):
an extension of the STROBE Statement. Ann Intern Med. 2009;150(3):206-215. doi:10.7326/0003-4819-150-3-
200902030-00011
11. Frampton GM, Fichtenholtz A, Otto GA, et al. Development and validation of a clinical cancer genomic profiling
test based on massively parallel DNA sequencing. Nat Biotechnol. 2013;31(11):1023-1031. doi:10.1038/nbt.2696
12. OmniSeq website. https://www.omniseq.com/comprehensive/. Accessed May 21, 2018.
13. Forbes SA, Beare D, Gunasekaran P, et al. COSMIC: exploring the world’s knowledge of somatic mutations in
human cancer. Nucleic Acids Res. 2015;43(Database issue):D805-D811. doi:10.1093/nar/gku1075
14. Superpaths. http://www.genecards.org. Accessed May 22, 2019.
15. Chakravarty D, Gao J, Phillips SM, et al OncoKB: a precision oncology knowledge base [published online May
16, 2017]. JCO Precis Oncol. doi:10.1200/PO.17.00011
16. Antonescu CR, Le Loarer F, Mosquera JM, et al. Novel YAP1-TFE3 fusion defines a distinct subset of epithelioid
hemangioendothelioma. Genes Chromosomes Cancer. 2013;52(8):775-784. doi:10.1002/gcc.22073
17. Schneider-Stock R, Boltze C, Lasota J, et al. Loss of p16 protein defines high-risk patients with gastrointestinal
stromal tumors: a tissue microarray study. Clin Cancer Res. 2005;11(2, pt 1):638-645.
18. Schmieder M, Wolf S, Danner B, et al. p16 expression differentiates high-risk gastrointestinal stromal tumor
and predicts poor outcome. Neoplasia. 2008;10(10):1154-1162. doi:10.1593/neo.08646
19. Lagarde P, Pérot G, Kauffmann A, et al. Mitotic checkpoints and chromosome instability are strong predictors
of clinical outcome in gastrointestinal stromal tumors. Clin Cancer Res. 2012;18(3):826-838. doi:10.1158/1078-
0432.CCR-11-1610
SUPPLEMENT.
eTable 1. Genomic Coverage of Next-Generation Sequencing Platform
eTable 2. Description of Pathways
eFigure 1. Distribution of Genomic WWTR1-CAMTA1 Fusion Expression
eTable 3. Gene Variants in EHE
eFigure 2. Age at Diagnosis
eMethods. Models
eTable 4. Clinicogenomic Features of CDKN2A/B Variant Subjects
eTable 5. Targetable Genomic Variants
JAMA Network Open. 2019;2(10):e1912416. doi:10.1001/jamanetworkopen.2019.12416 (Reprinted)
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| null |
10.1103_physrevx.13.021007.pdf
| null | null |
PHYSICAL REVIEW X 13, 021007 (2023)
Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
Kohei Kawabata,1,* Tokiro Numasawa ,2 and Shinsei Ryu1
1Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
2Institute for Solid State Physics, University of Tokyo, Kashiwa 277-8581, Japan
(Received 10 June 2022; revised 2 March 2023; accepted 13 March 2023; published 12 April 2023)
Recent years have seen remarkable development in open quantum systems effectively described by non-
Hermitian Hamiltonians. A unique feature of non-Hermitian topological systems is the skin effect,
anomalous localization of an extensive number of eigenstates driven by nonreciprocal dissipation. Despite
its significance for non-Hermitian topological phases, the relevance of the skin effect to quantum
entanglement and critical phenomena has remained unclear. Here, we find that the skin effect induces a
nonequilibrium quantum phase transition in the entanglement dynamics. We show that the skin effect gives
rise to a macroscopic flow of particles and suppresses the entanglement propagation and thermalization,
leading to the area law of the entanglement entropy in the nonequilibrium steady state. Moreover, we reveal
an entanglement phase transition induced by the competition between the unitary dynamics and the skin
effect even without disorder or interactions. This entanglement phase transition accompanies non-
equilibrium quantum criticality characterized by a nonunitary conformal field theory whose effective
central charge is extremely sensitive to the boundary conditions. We also demonstrate that it originates
from an exceptional point of the non-Hermitian Hamiltonian and the concomitant scale invariance of the
skin modes localized according to the power law. Furthermore, we show that the skin effect leads to the
purification and the reduction of von Neumann entropy even in Markovian open quantum systems
described by the Lindblad master equation. Our work opens a way to control the entanglement growth and
establishes a fundamental understanding of phase transitions and critical phenomena in open quantum
systems far from thermal equilibrium.
DOI: 10.1103/PhysRevX.13.021007
Subject Areas: Condensed Matter Physics,
Quantum Physics, Statistical Physics
I. INTRODUCTION
Nonequilibrium quantum dynamics provides a profound
understanding about quantum many-body systems. Closed
quantum systems driven out of equilibrium eventually
reach thermal equilibrium, which validates the foundations
of quantum statistical mechanics [1–4]. Thanks to the
recent advances in quantum simulations and technologies,
such thermalization dynamics was experimentally obser-
ved in ultracold atoms [5–7] and trapped ions [8].
Thermalization arises from the propagation of quantum
correlations and entanglement throughout the whole system
and the consequent entanglement entropy proportional to
the subsystem [9–11]. Beyond closed
the volume of
quantum systems, the nonequilibrium dynamics of open
quantum systems has recently been studied extensively.
*kohei.kawabata@princeton.edu
Published by the American Physical Society under the terms of
license.
the Creative Commons Attribution 4.0 International
Further distribution of this work must maintain attribution to
the author(s) and the published article’s title, journal citation,
and DOI.
Researchers have found entanglement phase transitions
induced by quantum measurements [12–25]. There, suffi-
ciently strong quantum measurements prevent
thermal-
ization and drive the system into a steady state far from
equilibrium for which the entanglement entropy is only
proportional to the boundary of the subsystem (i.e., the area
law [26]). Such measurement-induced phase transitions
also accompany nonequilibrium critical phenomena unique
to open quantum systems.
As another platform of open systems, the physics effec-
tively described by non-Hermitian Hamiltonians has recently
attracted growing interest [27,28]. In the classical regime,
non-Hermiticity is implemented by controlling gain and loss,
and leads to unique phenomena and functionalities without
Hermitian counterparts, such as power oscillations [29–31],
unidirectional invisibility [32–35], high-performance lasers
[36–40], and enhanced sensitivity [41–43]. In the quantum
regime, effective non-Hermitian Hamiltonians are justi-
fied as conditional dynamics subject to continuous moni-
toring and postselection of the null measurement outcome
[44–48], as well as the Feshbach projection formalism
[49–52]. Non-Hermitian systems have been realized in
several open quantum systems, including atoms [53–55],
2160-3308=23=13(2)=021007(26)
021007-1
Published by the American Physical Society
KAWABATA, NUMASAWA, and RYU
PHYS. REV. X 13, 021007 (2023)
photons [56–59], exciton polaritons [60], electronic spins
[61,62], and superconducting qubits [63]. On the theoretical
side, researchers have studied open quantum dynamics of
non-Hermitian systems [64–72]. Notably, non-Hermitian
systems at critical points support anomalous singularities
called exceptional points [73–75], at which the non-
Hermitian Hamiltonians are no longer diagonalizable.
Phase transitions and critical phenomena due to exceptional
points date back to the Yang-Lee edge singularity [76–79].
Exceptional points are also the key to the real-complex
spectral transition protected by parity-time symmetry [80,81]
and induce new universality classes of phase transitions in
non-Hermitian quantum systems [82–92].
Another unique feature of non-Hermitian systems is
the skin effect [93–95]. This is anomalous localization
of an extensive number of eigenstates driven by reciprocity-
breaking non-Hermiticity, which has no analogs in Hermi-
tian systems. The skin effect plays a central role in the
topological phases of non-Hermitian systems [96–112].
Since the skin effect leads to extreme sensitivity of the bulk
to the boundary conditions, it changes the nature of the
bulk-boundary correspondence [93–95,113–120]. More-
over, the skin effect originates from the topological invari-
ants intrinsic to non-Hermitian systems [111,121,122]. The
skin effect has recently been observed in classical experi-
ments of mechanical metamaterials [123], electrical circuits
[124,125], photonic lattices [126], and active particles
[127], as well as quantum experiments of single photons
[128] and ultracold atoms [129]. In these experiments,
reciprocity-breaking dissipation is introduced by the asym-
metry of the hopping amplitudes. It is also relevant to
Liouvillians for a quantum master equation [130–134]. The
skin effect may open up a way to actively control the phases
of matter.
Despite the significance of the skin effect for non-
Hermitian topological phases, its impact on the genuine
quantum nature has remained unclear. While several
recent works studied the entanglement dynamics in non-
Hermitian quantum systems [66–72], they focused only on
non-Hermitian systems that are subject to reciprocal dis-
sipation and free from the skin effect. On the basis of the
important role of the skin effect in non-Hermitian physics,
it may crucially change the entanglement dynamics in open
quantum systems. Furthermore, the relevance of the skin
effect on quantum phase transitions has also been unclear.
The previous works focused on the Yang-Lee edge singu-
larity [76–79] and its variants [57,67,85–88,91,92], which
do not accompany the skin effect. Although the skin effect
may lead to new universality classes of phase transitions
and critical phenomena far from thermal equilibrium, no
research has hitherto addressed this problem.
In this work, we study the impact of the skin effect on the
entanglement dynamics and nonequilibrium phase transi-
tions in open quantum systems. First, we show that the skin
effect gives rise to a macroscopic flow of particles and
suppresses the entanglement propagation,
leading to a
nonequilibrium steady state characterized by the area
law of entanglement entropy. This is contrasted with the
thermal equilibrium states, which exhibit the volume law
of entanglement entropy. Second, we reveal a new type of
entanglement phase transition induced by the skin effect.
It arises from the competition between coherent coupling
and nonreciprocal dissipation; the nonequilibrium steady
state exhibits the volume law for small dissipation but the
area law for large dissipation, between which the entan-
glement entropy grows subextensively (i.e., logarithmically
with respect to the subsystem size). Anomalously, this
nonequilibrium quantum criticality is characterized by a
nonunitary conformal field theory whose effective central
charge is extremely sensitive to the boundary conditions.
We also demonstrate that it originates from an excep-
tional point in the non-Hermitian Hamiltonian and the
concomitant scale invariance of the skin modes localized
according to the power law. In addition to the conditio-
nal dynamics effectively described by non-Hermitian
Hamiltonians, we show that the skin effect leads to the
purification and the reduction of von Neumann entropy
even in Markovian open quantum systems described by
the Lindblad master equation.
From these results, we show that the skin effect is a new
mechanism that triggers entanglement phase transitions
and nonequilibrium critical phenomena in open quantum
systems. The measurement-induced phase transitions typ-
ically rely on spatial or temporal randomness [12–25] while
they can occur in some models with no randomness except
in measurement outcomes [14]. The entanglement phase
transition in this work relies not on any randomness but
on the skin effect. While the Yang-Lee edge singularity
[76–79] originates from an exceptional point, it does not
accompany the skin effect. Furthermore, the boundary-
sensitive effective central charge, which implies a new
universality class, has never been reported in conformal
field theory. Since the skin effect is a universal phenome-
non arising solely from non-Hermitian topology, our
entanglement phase transition can generally appear in a
wide variety of open quantum systems. We hope that these
results will deepen our understanding of quantum phases
far from thermal equilibrium.
The rest of this work is organized as follows. In Sec. II,
we describe general behavior of the entanglement dynamics
in closed and open quantum systems. In Sec. III, we show
the entanglement suppression induced by the skin effect for
a non-Hermitian spinless-fermionic model. In Sec. IV, we
demonstrate the entanglement phase transition and discuss
its nonequilibrium quantum criticality for a non-Hermitian
spinful-fermionic model. In Sec. V, we show that
the
skin effect leads to the purification and reduction of von
Neumann entropy in a Liouvillian of the Lindblad master
equation. In Sec. VI, we conclude this work with several
outlooks. In Appendix A, we describe the implementation
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of effective non-Hermitian Hamiltonians in the quantum
trajectory approach. In Appendix B, we describe the
numerical method to effectively simulate the dynamics
of non-Hermitian free fermions. In Appendix C, we provide
additional numerical results for different initial conditions.
In Appendix D, we describe details of the Liouvillian
skin effect.
II. ENTANGLEMENT DYNAMICS AND
NON-HERMITIAN SKIN EFFECT
Before the detailed calculations, we discuss the general
behavior of nonequilibrium dynamics in closed and open
quantum systems. For simplicity, we assume the quasipar-
ticle picture, which is applicable to integrable systems
discussed in this work. Under the time evolution of closed
quantum systems, the quasiparticles coherently move in all
the directions and diffuse throughout the entire system
[Fig. 1(a)]. Such a bidirectional propagation of quasipar-
ticles arises from the conservation of the particle number
and energy. Consequently, quantum correlations develop
throughout the system, leading to extensive entanglement
for the steady state. This means the entanglement entropy
proportional to the subsystem size, i.e., volume law (S ∝ ld
with the subsystem length l and spatial dimensions d) [9].
The volume law of the entanglement entropy lies at the
heart of thermalization and validates quantum statistical
mechanics [1–4].
In open quantum systems, the particle number or energy
is not necessarily conserved because of the coupling to the
external environment. As a direct result of the violation
of the conservation laws, quasiparticles can be amplified
or attenuated. As long as such an external coupling is
reciprocal, quantum correlations propagate uniformly
(a)
(b)
FIG. 1. Quasiparticle propagation in closed and open quantum
systems. (a) Closed quantum systems. Quasiparticles propagate
in both directions and diffuse throughout the system, leading to
the volume law of entanglement entropy. (b) Open quantum
to the skin effect. Nonreciprocal dissipation
systems subject
makes quasiparticles move toward only one direction, sup-
pressing the entanglement propagation and leading to the area
law of entanglement entropy.
throughout
the system in a manner similar to closed
quantum systems. However, when the external coupling
is nonreciprocal, quasiparticles can be amplified toward
one direction and attenuated toward the other direction
[Fig. 1(b)]. In such a case, the quasiparticles move only in
one direction and accumulate at a boundary for a suffi-
ciently long time, i.e., non-Hermitian skin effect [93–95].
Since the quasiparticles are present only at a boundary,
the quantum correlations extend not over the entire system
but only at the boundary. The entanglement is greatly
suppressed and carried only by the skin modes at the
boundary, leading to the area law of the entanglement
entropy (i.e., S ∝ ld−1). This is a unique consequence of
nonreciprocal dissipation for quantum entanglement
dynamics. We confirm such a suppression of entanglement
for a non-Hermitian spinless-fermionic model (i.e., Hatano-
Nelson model [135]) in Sec. III.
Notably, an extensive number of localized modes are
the entanglement suppression. A possible
needed for
known mechanism that gives rise to it is disorder. In the
presence of sufficiently strong disorder,
the system is
to the Anderson [136,137] or many-body [3]
subject
localization,
in which thermalization is prohibited. We
emphasize that the skin effect is a different mechanism
that suppresses the entanglement growth. In fact, the skin
effect does not rely on disorder, and occurs only in open
quantum systems. The skin effect originates solely from
non-Hermitian topology [111,121,122] and hence appears
in a wide variety of open quantum systems.
Even if the skin effect suppresses the quasiparticle
diffusion and the entanglement propagation, it is unclear
whether the skin effect can compete with the unitary
dynamics and give rise to a continuous phase transition.
In fact, in the Hatano-Nelson model and many other non-
Hermitian models, even infinitesimal non-Hermiticity
causes the skin effect and results in no continuous phase
transition. Nevertheless, we show that the skin effect indeed
induces new nonequilibrium phase transitions and critical
phenomena intrinsic to open quantum systems. There, an
entanglement phase transition arises from the competition
between the coherent coupling and the nonreciprocal
dissipation: the system reaches a thermal equilibrium state
exhibiting the volume law for small dissipation while it
reaches a nonequilibrium steady state exhibiting only the
area law for large dissipation, between which the entan-
glement entropy grows subextensively (i.e., S ∝ log l)
with an unconventional nonequilibrium quantum critica-
lity described by a nonunitary conformal field theory.
We demonstrate such an entanglement phase transition
induced by the skin effect by explicitly constructing and
investigating an illustrative example of non-Hermitian
spinful-fermionic models (i.e., symplectic Hatano-Nelson
model [122,138]) in Sec. IV.
As well as
the conditional dynamics effectively
described by non-Hermitian Hamiltonians, the skin effect
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KAWABATA, NUMASAWA, and RYU
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has a considerable impact also on the open quantum
dynamics described by a master equation. While a
Markovian open quantum system typically exhibits the
thermal equilibrium state with infinite temperature as
the steady state, the skin effect dramatically changes the
properties of the steady state toward far from equilibrium.
We show the purification and suppression of von Neumann
entropy for Markovian open quantum systems described by
the Lindblad master equation in Sec. V.
Entanglement phase transitions can also occur as a
the competition between the unitary
consequence of
dynamics and quantum measurements [12–25]. However,
the entanglement phase transition in this work exhibits
properties distinct from the measurement-induced phase
transitions. First, the boundary-sensitive critical behaviors
have never been found in the previous works on the
measurement-induced phase transitions. Additionally, the
measurement-induced phase transitions typically rely on
spatial or temporal randomness and many-body inter-
actions aside from some exceptions [25]. By contrast,
the skin effect induces the entanglement phase transition
even without randomness and interactions, which enables
a deep understanding of the phase transition and critical
the
behavior
measurement-induced phase transitions manifest
them-
selves only in a conditional quantum trajectory postselected
by measurements and disappear in the open quantum
dynamics averaged over multiple quantum trajectories.
On the other hand,
the skin effect occurs and yields
purification even in the averaged open quantum dynamics
described by the Markovian master equation.
in open quantum systems. Furthermore,
III. ENTANGLEMENT SUPPRESSION INDUCED
BY THE NON-HERMITIAN SKIN EFFECT
We study the nonequilibrium quantum dynamics
induced by the non-Hermitian skin effect. To this end,
we investigate the Hatano-Nelson model
[135] as a
prototypical example that exhibits the skin effect:
ˆH ¼ −
1
2
X
l
½ðJ þ γÞˆc†
lþ1 ˆcl þ ðJ − γÞˆc†
l ˆclþ1(cid:2);
ð1Þ
where ˆcl (ˆc†
l ) annihilates (creates) a spinless fermion at
site l, J > 0 denotes the Hermitian hopping amplitude,
and γ ∈ R denotes the asymmetric hopping amplitude as a
source of non-Hermiticity. Here, we assume jγj < J for
simplicity. The asymmetric hopping can be implemented
in the quantum trajectory approach (see Appendix A for
details) [44–48] and has been realized in the recent experi-
ments of single photons [128] and ultracold atoms [129].
the Bloch
Under the periodic boundary conditions,
Hamiltonian for the Hatano-Nelson model reads
Thus, the complex-valued spectrum of HðkÞ winds around
the origin in the complex-energy plane when the momen-
tum k goes around the Brillouin zone ½0; 2πÞ. From this
complex-spectral winding, we introduce a topological
invariant [104,105]:
I
W ≔ −
0
2π
dk
2πi
d
dk log det HðkÞ:
ð3Þ
Since such complex-spectral winding is ill defined in
Hermitian systems, the winding number W is intrinsic
the
to non-Hermitian systems. As a consequence of
intrinsic non-Hermitian topology, an extensive number of
boundary modes appear under the open boundary con-
ditions [121,122], i.e., non-Hermitian skin effect [93–95].
While we here focus on the Hatano-Nelson model
in Eq. (1) as a prototypical example,
the skin effect
generally occurs and leads to the entanglement suppression
as long as the intrinsic non-Hermitian topology is non-
trivial W ≠ 0.
In the following, we impose the open boundary conditions
and prepare the initial state as the charge density wave state,
(cid:2)YL=2
(cid:3)
jψ 0i ¼
ˆc†
2l
jvaci;
ð4Þ
l¼1
where jvaci is the fermionic vacuum state, and the system
length L is assumed to be even. The many-particle wave
function evolves by the non-Hermitian Hamiltonian ˆH in
Eq. (1) as
jψðtÞi ¼
e−i ˆHtjψ 0i
ke−i ˆHtjψ 0ik
:
ð5Þ
Despite non-Hermiticity of the Hamiltonian, the particle
number N ¼ L=2 is conserved under dynamics. Thanks to
the free (i.e., quadratic) nature of the model, its dynamics
can be efficiently calculated (see Appendix B for details).
We show that the skin effect leads to a nonequilibrium
steady state whose entanglement is suppressed, which is to
be contrasted with the thermal equilibrium states in closed
quantum systems. While we here consider Eq. (4) as an
initial state, the entanglement suppression depends only on
the skin effect, and the specific details of the initial state
should be irrelevant.
A. Skin effect
We begin with investigating the time evolution of the
local particle number:
nlðtÞ ≔ hψðtÞj ˆnljψðtÞi:
ð6Þ
HðkÞ ¼ −J cos k þ iγ sin k:
ð2Þ
In Hermitian systems, particles are distributed uniformly
[Fig. 2(a)]. In the presence of non-Hermiticity, by contrast,
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(a)
(b)
1.0
0.8
0.6
0.4
0.2
0
FIG. 2. Time evolution of the local particle number nlðtÞ ≔
hψðtÞj ˆnljψðtÞi in the Hatano-Nelson model with open boundaries
(L ¼ 100, J ¼ 1.0) for (a) γ ¼ 0.0 and (b) γ ¼ 0.8. The initial
state is prepared as the charge density wave state in Eq. (4). In the
presence of non-Hermiticity, particles accumulate at
the
boundary, which is a clear signature of the non-Hermitian skin
effect.
particles accumulate at the right (left) edge of the system for
γ > 0 (γ < 0) [Fig. 2(b)]. Such localization of an extensive
number of particles is impossible in closed quantum
systems and is a clear signature of the non-Hermitian skin
effect.
transformation [GL(1) gauge
The skin effect can be understood by the imaginary
transformation;
gauge
GLðnÞ is the general
linear group of n × n invertible
matrices] [94,119,135]. Let us introduce the new fermionic
operators by
l ≔ elθ ˆc†
ˆp†
l ;
ˆql ≔ e−lθ ˆcl;
ð7Þ
where θ ∈ C plays a role of the complex-valued gauge. The
Hamiltonian in Eq. (1) is rewritten as
ˆH ¼ −
1
2
h
XL−1
l¼1
e−θðJ þ γÞ ˆp†
lþ1 ˆql þ eθðJ − γÞ ˆp†
l ˆqlþ1
i
:
ð8Þ
In particular, when we choose θ so that it will satisfy
e−θðJ þ γÞ ¼ eθðJ − γÞ, i.e.,
(cid:2)
1
2 log
J þ γ
J − γ
(cid:3)
;
θ ¼
ð9Þ
the Hamiltonian reduces to
ˆH ¼ −
p
ffiffiffiffiffiffiffiffiffiffiffiffiffiffi
J2 − γ2
2
XL−1
(cid:5)
l¼1
lþ1 ˆql þ ˆp†
ˆp†
l ˆqlþ1
(cid:6)
:
ð10Þ
Now that the asymmetric hopping formally disappears, the
Hamiltonian is diagonalized to
q
ffiffiffiffiffiffiffiffiffiffiffiffiffiffi
J2 − γ2
X
ˆH ¼ −
ðcos kÞ ˆp†
k ˆqk
k
ð11Þ
by the Fourier transforms,
r
r
ffiffiffiffiffiffiffiffiffiffiffiffi
2
L þ 1
ffiffiffiffiffiffiffiffiffiffiffiffi
2
L þ 1
ˆpk ≔
ˆqk ≔
XL
l¼1
XL
l¼1
ˆpl sinðklÞ;
ˆql sinðklÞ;
ð12Þ
ð13Þ
with momentum k ¼ nπ=ðL þ 1Þ (n ¼ 1; 2; …; L). Thus,
the spectrum of ˆH is entirely real. Non-Hermiticity of ˆH
originates solely from the nonorthogonality of the quasi-
particles (i.e., ˆpk ≠ ˆqk). In the presence of the skin effect,
while the spectrum of an infinite non-Hermitian system
coincides with the infinite-size limit of the spectrum of the
corresponding finite system with periodic boundaries, it
does not coincide with the spectrum of the infinite-size
limit of the corresponding finite system with open boun-
daries [122,139]. This extreme sensitivity yields unique
open quantum phenomena, as we show below.
Because of the GL(1) transformation in Eq. (7), the
quasiparticle ˆpk is exponentially localized at the right (left)
edge while the quasiparticle ˆqk is exponentially localized
at the left (right) edge for Reθ > 0 (Reθ < 0). All the
the edges, which is the
quasiparticles are localized at
hallmark of
the skin effect unique to non-Hermitian
systems. Thus, the Hamiltonian ˆH annihilates the quasi-
particles around one edge and creates the quasiparticles
around the other edge under its time evolution. Here, θ−1
characterizes the localization length of the quasiparticles. It
should be noted that the above transformation is possible
only for the open boundary conditions and is unfeasible
so that the periodic boundary conditions can be satisfied.
The quasiparticles form Bloch waves delocalized through-
out the system under the periodic boundary conditions,
where no length scale appears as a consequence of non-
Hermiticity. The emergent length scale θ−1 is unique to the
open boundary conditions.
We also investigate the time evolution of the correlation
matrix,
CijðtÞ ≔ hψðtÞjˆc†
i ˆcjjψðtÞi;
ð14Þ
for i; j ¼ 1; 2; …; L. In the absence of non-Hermiticity, the
quasiparticles propagate in both directions, leading to the
diffusion of particles and quantum information [Fig. 3(a)].
In the presence of non-Hermiticity, on the other hand, the
quasiparticles cease to move, and the correlation propaga-
tion is frozen [Fig. 3(b)]. This is another consequence of the
skin effect. Because of the localization of the quasiparticles,
they move toward the right (left) edge for γ > 0 (γ < 0) at
the beginning of the dynamics. However, once the quasi-
particles accumulate at the edge, they are no longer mobile
because of the Pauli exclusion principle. Under the skin
effect, the system soon reaches a nonequilibrium steady
state in which an extensive number of particles are
the frozen
localized at an edge. It
is noteworthy that
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(a)
(b)
0.10
0.08
0.06
0.04
0.02
0
FIG. 3. Correlation propagation in the Hatano-Nelson model
with open boundaries (L ¼ 100, J ¼ 1.0) for (a) γ ¼ 0.0 and
(b) γ ¼ 0.8. The absolute values jCl;l0 j of the correlation matrix
are shown as a function of site l and time t with l0 ¼ L=2 ¼ 50.
The initial state is prepared as the charge density wave state in
Eq. (4). In the presence of non-Hermiticity,
the correlation
propagation is frozen as a consequence of the non-Hermitian
skin effect.
correlation propagation due to the skin effect is different
from the supersonic correlation propagation in non-
Hermitian quantum systems with reciprocal dissipation
[66,67]. This difference also shows a unique role of the
skin effect in open quantum systems.
B. Current
Next, we investigate the charge current,
IlðtÞ ≔ hψðtÞjˆIljψðtÞi;
ð15Þ
is the local current operator between sites l
where ˆIl
and l þ 1:
ˆIl ≔
iJ
2 ðˆc†
l ˆclþ1 − ˆc†
lþ1 ˆclÞ:
ð16Þ
While no current flows in closed quantum systems at
thermal equilibrium, the skin effect gives rise to a current in
open quantum systems. Figure 4 shows the behavior of the
P
total charge current IðtÞ ≔
l¼1 IlðtÞ induced by the skin
effect. In the presence of non-Hermiticity, the current takes
a nonzero steady value for sufficiently long time [Fig. 4(a)].
This means that the system reaches a nonequilibrium steady
L−1
state accompanying a nonzero current in contrast with the
thermal equilibrium states, where the current should vanish
[i.e., I ¼ oðLÞ] [140]. The current for the steady state
monotonically increases as a function of non-Hermiticity
[Fig. 4(b)]. Furthermore, it grows linearly with respect to
the system length L [Fig. 4(c)] and hence is indeed a
macroscopic quantity. The macroscopic current induced
by the skin effect may be characterized by topological field
theory [111].
To understand how the skin effect gives rise to a
current in more detail, we also study the local distribution
of the current (Fig. 5). Notably, in the presence of non-
Hermiticity, the current arises only in the bulk and vanishes
around the edges [Fig. 5(b)]. On the basis of the local
particle distribution in Fig. 2(b), the current arises only in
the region where the particles are neither dense nor sparse.
This is because particles cannot enter such dense or sparse
regions from the environment because of the Pauli exclu-
sion principle.
is also compatible with the frozen
correlation propagation in Fig. 3(b). Moreover, the con-
tinuity equation of our non-Hermitian system reads
It
∂
∂t
nl þ ðIl − Il−1Þ ¼ σl;
ð17Þ
where σl is the local inflow of particles from the external
environment at site l. In Hermitian systems, σl vanishes
for arbitrary l and t owing to the conservation of the particle
number [Fig. 5(c)]. Under the skin effect, a pair of a
source and sink appears, between which the current flows
[Fig. 5(d)]. It is also notable that the current does not arise
for small non-Hermiticity or a short system length (Fig. 4).
In such a case, the localization length of the many-body
skin modes is comparable with the system length, and
consequently particles cannot enter the system from the
environment.
C. Entanglement dynamics
The non-Hermitian skin effect gives rise to a nonequili-
brium flow not only of particles but also of quantum
information. To show this, we investigate the time evolu-
tion of the entanglement entropy in the Hatano-Nelson
(a)
(b)
(c)
P
l¼1 hψðtÞjˆIljψðtÞi in the Hatano-Nelson model with open boundaries (J ¼ 1.0). The initial state
FIG. 4. Total charge current IðtÞ ≔
is prepared as the charge density wave state in Eq. (4). (a) Time evolution of the current (L ¼ 100) for γ ¼ 0.0 (black dashed curve),
0.2 (blue curve), 0.4 (green curve), 0.6 (light green curve), 0.8 (orange curve), and 1.0 (red curve). (b) Charge current for the steady state
as a function of non-Hermiticity γ for L ¼ 100. (c) Charge current for the steady state as a function of the system length for γ ¼ 0.8.
L−1
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ENTANGLEMENT PHASE TRANSITION INDUCED …
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(a)
(c)
(b)
(d)
(a)
(c)
(b)
(d)
FIG. 5. Local current distribution in the Hatano-Nelson model
with open boundaries (J ¼ 1.0). The initial state is prepared as
the charge density wave state in Eq. (4). (a),(b) Time evolution
of the local current IlðtÞ ≔ hψðtÞjˆIljψðtÞi for (a) γ ¼ 0.0 and
(b) γ ¼ 0.8. (c),(d) Time evolution of the local particle inflow for
(c) γ ¼ 0.0 and (d) γ ¼ 0.8.
model. We focus on the von Neumann entanglement
entropy SðL; lÞ between the subsystem in ½1; l(cid:2) and the
rest of the system. Here, we calculate the entanglement
entropy from a single wave function jψðtÞi instead of the
biorthogonal density operator [87,89,91]. In Hermitian
systems, SðL; lÞ grows linearly in time until it saturates
to the extensive entanglement entropy S ∝ l [9,141], which
is consistent with our numerical calculations for γ ¼ 0
[Fig. 6(a)]. In the presence of non-Hermiticity, however, the
growth of the entanglement entropy is greatly suppressed.
The entanglement entropy for the steady state is much
smaller than that for the Hermitian case and monotonically
decreases as a function of non-Hermiticity [Fig. 6(b)].
In the Hermitian case γ ¼ 0, the steady-state entanglement
entropy grows linearly with the system length, i.e., volume
law;
the steady-state
entanglement entropy is independent of the system length,
i.e., area law [Figs. 6(c) and 6(d)].
in the non-Hermitian case γ ≠ 0,
The suppression of the entanglement entropy originates
the
from the skin effect. In closed quantum systems,
quasiparticles diffuse throughout
the system and let
the system be a thermal equilibrium state exhibiting the
extensive entanglement entropy. On the other hand, a
macroscopic current from the external environment pushes
the quasiparticles only in one direction and forbids quan-
tum diffusion throughout the system. Consequently, the
quasiparticles are localized only at one edge (i.e., skin
effect) and cannot develop a global quantum correlation,
leading to the area law of the entanglement entropy for the
nonequilibrium steady state.
FIG. 6. Entanglement entropy (EE) of the Hatano-Nelson
model with open boundaries (J ¼ 1.0). The initial state is
prepared as the charge density wave state in Eq. (4). (a) Time
evolution of the entanglement entropy SðL; L=2Þ (L ¼ 100) for
γ ¼ 0.0 (black dashed curve), 0.1 (violet curve), 0.2 (blue curve),
0.4 (green curve), 0.6 (light green curve), 0.8 (orange curve), and
1.0 (red curve). (b) Entanglement entropy SðL; L=2Þ for the
steady state as a function of non-Hermiticity γ (L ¼ 100).
(c) Entanglement entropy SðL; L=2Þ for the steady state as a
function of the system length L. (d) Entanglement entropy SðL; lÞ
(L ¼ 100) for the steady state as a function of the subsystem
length l.
It should be noted that the area law of the entanglement
entropy can also occur in non-Hermitian systems with
broken parity-time symmetry [70]. In such systems, the
suppression of the entanglement is due to the relaxation
toward a pure state with the largest imaginary part of the
complex-valued energy. By contrast, our non-Hermitian
system hosts the entirely real spectrum under the open
boundary conditions and hence does not rely on parity-
time-symmetry breaking. The non-Hermitian skin effect is
a new mechanism of open quantum systems that hinders the
growth of the quantum correlation and entanglement.
IV. ENTANGLEMENT PHASE TRANSITION
INDUCED BY THE NON-HERMITIAN
SKIN EFFECT
In the Hatano-Nelson model, even infinitesimal non-
Hermiticity induces the skin effect and makes the system
relax to far from equilibrium. To understand the non-
equilibrium quantum criticality induced by the skin effect,
we consider the symplectic generalization of the Hatano-
Nelson model [122,138]:
XL
ˆH ¼ −
1
2
½ˆc†
lþ1ðJ þ γσz − iΔσxÞˆcl
l¼1
l ðJ − γσz þ iΔσxÞˆclþ1(cid:2);
þ ˆc†
ð18Þ
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KAWABATA, NUMASAWA, and RYU
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with Pauli matrices σi’s (i ¼ x, y, z). The fermionic
ˆcl ¼ ðˆcl;↑ ˆcl;↓ÞT [creation operator
annihilation operator
l;↑ ˆc†
l ¼ ðˆc†
ˆc†
l;↓Þ] now includes the spin degree of freedom.
Because of non-Hermiticity γ > 0 (γ < 0),
the up-spin
fermions are pushed toward the right (left) while the down-
spin fermions are pushed toward the left (right). In addition,
Δ ∈ R controls the spin-orbit coupling between the up-spin
fermions and down-spin fermions. Owing to the spin-orbit
coupling Δ, the model is free from the skin effect even in
the presence of non-Hermiticity γ as long as jγj < jΔj is
satisfied. Similarly to the original Hatano-Nelson model,
the symplectic Hatano-Nelson model in Eq. (18) can be
implemented in the quantum trajectory approach (see
Appendix A for details). It is notable that non-Hermitian
spin-orbit-coupled fermions have been realized in recent
experiments of ultracold atoms [55], and our model can
also be realized in a similar experiment.
Under the periodic boundary conditions,
the Bloch
Hamiltonian of the symplectic Hatano-Nelson model reads
HðkÞ ¼ −J cos k þ ðiγσz þ ΔσxÞ sin k;
ð19Þ
whose complex spectrum is obtained as
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
γ2 − Δ2
EðkÞ ¼ −J cos k (cid:3) i
q
FIG. 7. Phase diagram of the symplectic Hatano-Nelson model.
For jγj < jΔj (blue region), no skin effect occurs, and the
entanglement entropy for the steady state obeys the volume
law. For jγj > jΔj (red region), the reciprocal skin effect occurs,
and the entanglement entropy for the steady state obeys the area
law. The phase boundary jγj ¼ jΔj ≠ 0 (black line) marks critical
points, at which the skin modes exhibit the scale invariance, and
the entanglement entropy for the steady state grows subexten-
sively (i.e., logarithmically with respect to the subsystem length).
In fact, the non-Hermitian Hamiltonian in Eq. (18) respects
reciprocity,
sin k:
ð20Þ
ˆT ˆH† ˆT−1 ¼ ˆH;
ð22Þ
Therefore, for small non-Hermiticity jγj < jΔj, the spectrum
is entirely real, and no skin effect occurs. For large non-
Hermiticity jγj > jΔj, on the other hand, each band is
characterized by the complex-spectral winding and subject
to the skin effect [122]. There, up-spin fermions and down-
spin fermions are localized at opposite boundaries. This
is ensured by the Z2 topological
reciprocal skin effect
invariant ν ∈ f0; 1g unique to non-Hermitian systems [105]:
(cid:7)
ð−1Þν ≔ sgn
Pf½Hðk ¼ πÞT(cid:2)
Pf½Hðk ¼ 0ÞT(cid:2)
(cid:8)
Z
1
2
k¼π
k¼0
× exp
−
d log det ½HðkÞT(cid:2)
(cid:9)(cid:10)
;
ð21Þ
with the unitary operator T ≔ σy for the symplectic Hatano-
Nelson model. The presence or absence of the skin effect is
controlled by the competition between non-Hermiticity γ
and spin-orbit coupling Δ, and jγj ¼ jΔj marks a phase
transition point, between which the skin effect occurs or not
(Fig. 7). The reciprocal skin effect generally occurs as long
as the Z2 topological invariant in Eq. (21) is nontrivial. Thus,
while we here consider the symplectic Hatano-Nelson model
in Eq. (18) for illustrative purposes, the Z2 skin effect
and the concomitant entanglement phase transition should
appear in a wide variety of open quantum systems.
It is also notable that the symplectic Hatano-Nelson
model respects reciprocity, which is one of the fundamental
[105].
symmetry for non-Hermitian systems
internal
where ˆT is an antiunitary operator satisfying ˆT ˆcl
and ˆTz ˆT−1 ¼ z(cid:4)
for z ∈ C.
In terms of
Hamiltonian in Eq. (19), reciprocity is written as
ˆT−1 ¼ σy ˆcl
the Bloch
THTðkÞT−1 ¼ Hð−kÞ;
TT(cid:4) ¼ −1;
ð23Þ
with the unitary operator T ≔ σy. The Kramers pair
structure between up-spin and down-spin fermions, as well
as the concomitant skin effect, is protected by reciprocity.
Below, we study the nonequilibrium quantum dynamics
of the symplectic Hatano-Nelson model. We choose the
initial state as
jψ 0i ¼
(cid:2)YL=2
l¼1
(cid:3)
2l−1;↑ ˆc†
ˆc†
2l;↓
jvaci;
ð24Þ
where the system length L is assumed to be even. We
confirm that the system reaches a many-body steady state
subject to the reciprocal skin effect in Sec. IVA. This
nonequilibrium steady state is characterized by a spin
current in contrast to the thermal equilibrium states, as
we show in Sec. IV B. Furthermore, in Sec. IV C, we
demonstrate that the phase boundary jγj ¼ jΔj marks an
entanglement phase transition, between which the steady
state exhibits the volume law or the area law (Fig. 7).
The critical point
characterized by a
conformal field theory that is anomalously sensitive to
the boundary conditions. In Sec. IV D, we also show that
jγj ¼ jΔj
is
021007-8
ENTANGLEMENT PHASE TRANSITION INDUCED …
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this nonequilibrium quantum criticality originates from the
scale-invariant skin modes decaying according to the power
law. While we here choose Eq. (24) as an initial state, the
universal properties of the entanglement phase transition—
the critical behaviors in Eqs. (31), (38), and (46)—arise
solely from the scale invariance of the skin modes and
should not depend on the specific details of the initial state
(see Appendix C for details).
the skin effect freezes the correlation propagation in a
to the original Hatano-Nelson model.
similar manner
the quasiparticles cease to propagate even at
Notably,
the critical point (i.e., jγj ¼ jΔj). The frozen correlation
propagation implies the skin effect even at the critical point.
In Sec. IV D, we indeed demonstrate the skin effect at the
critical point while the critical skin modes are localized
algebraically instead of exponentially.
A. Reciprocal skin effect
B. Spin current
We begin with investigating the time evolution of local
particle numbers for each spin (Fig. 8). Below the critical
point (i.e., jγj < jΔj), the particles are distributed almost
uniformly throughout the system. Above the critical point
(i.e., jγj > jΔj), on the other hand, the skin effect indeed
occurs, and the particles are localized at the edges. In
to the original Hatano-Nelson model, up-spin
contrast
fermions are localized at
(left) edge while
the right
down-spin fermions are localized at the left (right) edge
for γ > 0 (γ < 0) [Fig. 8(d)]. Consequently, particles are
uniformly distributed on average. This is a unique feature
of the reciprocity-protected skin effect in the symplectic
Hatano-Nelson model.
We also investigate the correlation propagation in the
symplectic Hatano-Nelson model (Fig. 9). The correlation
matrix now includes the spin degree of freedom:
Cis;js0ðtÞ ≔ hψðtÞjˆc†
i;s ˆcj;s0jψðtÞi:
ð25Þ
Below the critical point (i.e., jγj < jΔj), the correlation
bidirectionally propagates throughout the system even in
the presence of non-Hermiticity, which is a signature of the
quantum diffusion. Above the critical point (i.e., jγj > jΔj),
We next investigate the time evolution of the current.
Owing to the spin degree of freedom, we consider both the
total charge current,
ˆIc ≔ ˆI↑ þ ˆI↓;
and the total spin current,
ˆIs ≔ ˆI↑ − ˆI↓;
ð26Þ
ð27Þ
with
ˆIs ≔
iJ
2
XL−1
l¼1
ðˆc†
l;s ˆclþ1;s − ˆc†
lþ1;s ˆcl;sÞ
ðs ¼ ↑; ↓Þ:
ð28Þ
While ˆIs is not conserved in the presence of the spin-orbit
coupling Δ, it gives an intuitive measure for the spin
current. Even in the presence of non-Hermiticity γ, the
charge current IcðtÞ always vanishes as a consequence of
reciprocity [Fig. 10(a)]. On the other hand, the spin current
IsðtÞ exhibits characteristic behavior unique to the sym-
plectic Hatano-Nelson model. Below the critical point
FIG. 8. Time evolution of the local particle number nl;sðtÞ ≔ hψðtÞj ˆnl;sjψðtÞi for s ¼ ↑ (top panels) and s ¼ ↓ (bottom panels) in the
symplectic Hatano-Nelson model with open boundaries (L ¼ 100, J ¼ 1.0, Δ ¼ 0.5). The initial state is prepared as Eq. (24). Non-
Hermiticity is chosen to be (a) γ ¼ 0.0, (b) γ ¼ 0.4, (c) γ ¼ 0.5, and (d) γ ¼ 0.8. While no skin effect occurs for jγj < jΔj, the reciprocal
skin effect occurs for jγj > jΔj.
021007-9
KAWABATA, NUMASAWA, and RYU
PHYS. REV. X 13, 021007 (2023)
FIG. 9. Correlation propagation in the symplectic Hatano-Nelson model with open boundaries (L ¼ 100, J ¼ 1.0; Δ ¼ 0.5). The
absolute values jCl↑;l0↑j ¼ jCl↓;l0↓j (top panels) and jCl↑;l0↓j ¼ jCl↓;l0↑j (bottom panels) of the correlation matrix are shown as a function
of site l and time t with l0 ¼ L=2 ¼ 50. The initial state is prepared as Eq. (24). Non-Hermiticity is chosen to be (a) γ ¼ 0.0, (b) γ ¼ 0.4,
(c) γ ¼ 0.5, and (d) γ ¼ 0.8.
(i.e., jγj < jΔj), the spin current just oscillates and vanishes
after averaging over time; above the critical point (i.e.,
jγj > jΔj), the skin effect occurs and induces a nonzero spin
current. Similarly to the steady-state charge current in the
original Hatano-Nelson model, the steady-state spin current
grows as we increase non-Hermiticity or the system length
[Figs. 10(c) and 10(d)]. Thus, the system reaches a non-
equilibrium steady state with a nonzero spin current. The
spin current characterizes the nonequilibrium quantum
phases of the symplectic Hatano-Nelson model as an order
parameter. This is contrasted with the thermal equilibrium
states and the nonequilibrium steady states in the original
Hatano-Nelson model, which are respectively characterized
by zero current and nonzero charge currents.
C. Entanglement phase transition
Now, we investigate the entanglement dynamics of
the symplectic Hatano-Nelson model (Fig. 11). In the
Hermitian case γ ¼ 0,
the system reaches the thermal
equilibrium state (or the generalized Gibbs state) under
the dynamics, and the entanglement entropy for the steady
state grows linearly with the system length, i.e., volume
law. Even in the presence of non-Hermiticity, the volume
law of the entanglement entropy persists for jγj < jΔj. This
contrasts with the original Hatano-Nelson model, in which
the volume law is violated by infinitesimal non-Hermiticity
(Sec. III C). The robust volume law is consistent with the
quantum diffusion of quasiparticles shown in Fig. 9. As
non-Hermiticity increases, the entanglement entropy for the
steady state gradually decreases and sharply vanishes at
jγj ¼ jΔj. For the larger non-Hermiticity jγj > jΔj,
the
entanglement entropy is greatly suppressed and no longer
grows even if we increase the system length L, i.e., the area
law. Similarly to the original Hatano-Nelson model, the
area law of the steady-state entanglement entropy arises
from the skin effect. Here, jγj ¼ jΔj marks a nonequili-
brium phase transition across which the steady-state entan-
glement entropy exhibits the volume law or the area law
(a)
(c)
(b)
(d)
FIG. 10. Current in the symplectic Hatano-Nelson model with
open boundaries (J ¼ 1.0, Δ ¼ 0.5). The initial state is prepared
as Eq. (24). Time evolution of the (a) charge current IcðtÞ ≔
hψðtÞjˆIcjψðtÞi and (b) spin current IsðtÞ ≔ hψðtÞjˆIsjψðtÞi for
L ¼ 100 and γ ¼ 0.0, 0.2, 0.4, 0.5, 0.6, 0.8, 1.0. (c) Spin current
for the steady state as a function of non-Hermiticity γ for
L ¼ 100. (d) Spin current for the steady state as a function of
the system length L for γ ¼ 0.8.
021007-10
ENTANGLEMENT PHASE TRANSITION INDUCED …
PHYS. REV. X 13, 021007 (2023)
(a)
(c)
(b)
(d)
(a)
(b)
FIG. 12. Entanglement entropy of the symplectic Hatano-
Nelson model with open boundaries (J ¼ 1.0) at the critical
(γ ¼ Δ). The initial state is prepared as Eq.
point
(24).
(a) Entanglement entropy SðL; lÞ (L ¼ 100) for the steady state
as a function of the subsystem length l for γ ¼ 0.0, 0.01, 0.02,
0.05, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, and 1.0. (b) Effective
central charge c as a function of γ ¼ Δ (L ¼ 100).
FIG. 11. Entanglement entropy of the symplectic Hatano-
Nelson model with open boundaries (J ¼ 1.0, Δ ¼ 0.5). The
initial state is prepared as Eq. (24). (a) Time evolution of the
entanglement entropy SðL; L=2Þ (L ¼ 100) for γ ¼ 0.0 (black
dashed curve), 0.2 (blue curve), 0.4, 0.48, 0.5 (green curves), 0.6
(light green curve), and 0.8 (orange curve). (b) Entanglement
entropy density SðL; L=2Þ=L (L ¼ 100) for the steady state as a
function of non-Hermiticity γ. The black dashed curve is the
fitting result SðL; L=2Þ=L ¼ 0.94ðΔ=J − γ=JÞ0.44 around the
critical point γ ¼ Δ. (c) Entanglement entropy SðL; L=2Þ for
the steady state as a function of the system length L for γ ¼ 0.0,
0.2, 0.4, 0.45, 0.48, 0.49, 0.495, 0.5, 0.6, and 0.8. (d) Entangle-
ment entropy SðL; lÞ (L ¼ 100) for the steady state as a function
of the subsystem length l.
(Fig. 7). Around this transition point jγj ¼ jΔj, the density
the steady-state entanglement entropy exhibits the
of
critical behavior,
(cid:2)
(cid:3)
0.44(cid:3)0.06
SsðL; L=2Þ
L
∝
jΔj − jγj
J
;
ð29Þ
for jγj ≤ jΔj [Fig. 11(b)].
Notably,
the entanglement phase transition induced
by the skin effect occurs even without randomness. This
contrasts with the phase transitions induced by quantum
measurements, which typically rely on spatial or temporal
randomness [12–25], although some models can exhibit the
phase transitions even without randomness [14]. The skin
effect provides a new mechanism for the entanglement
phase transition and gives rise to a new universality class of
nonequilibrium quantum phase transitions.
To unveil the nonequilibrium quantum criticality, we
further study the entanglement entropy at the transition
point jγj ¼ jΔj. We numerically calculate the steady-state
entanglement entropy as a function of the system parameter
jγ=Jj ¼ jΔ=Jj. According to the conformal field theory
the entanglement entropy SsðL; lÞ
description [9,142],
of a one-dimensional quantum critical system with open
boundaries grows logarithmically with respect
subsystem length l:
to the
SsðL; lÞ ¼
c
6 log
(cid:2)
sin
(cid:3)
πl
L
þ S0;
ð30Þ
where c is the central charge that characterizes the relevant
conformal field theory, and S0 is a nonuniversal constant.
the steady-state entanglement
Despite non-Hermiticity,
entropy of the symplectic Hatano-Nelson model at the
critical point jγj ¼ jΔj is well fitted by this subextensive
scaling [Fig. 12(a)]. Remarkably,
the effective central
charge c is sensitive to the system parameter γ=J ¼ Δ=J
in contrast to unitary conformal field theory for closed
quantum systems [Fig. 12(b)]. It can take large values for
small non-Hermiticity jγ=Jj, in which a crossover between
the unitary and nonunitary critical points should occur. For
larger jγ=Jj, on the other hand, the effective central charge c
exhibits the power-law behavior:
c ∝ jγ=Jj−ð0.66(cid:3)0.03Þ;
ð31Þ
whose critical exponent is close to 2=3. Here, we identify
the effective central charge from the logarithmic scaling of
the entanglement entropy. We note that this is apparently
different from the effective central charge in the context of
nonunitary conformal field theory, which is defined by
subtracting the dimension of the lowest-dimensional oper-
ator from the central charge. Still, the parameter-dependent
effective central charge c implies nonunitary or irrational
conformal field theory that underlies the nonequilibrium
quantum criticality induced by the skin effect. It merits
further study to identify this anomalous type of conformal
field theory.
It should also be noted that a couple of recent works on
random nonunitary quantum dynamics have reported a
similar subextensive growth of the steady-state entangle-
ment entropy with the parameter-dependent effective cen-
in the nonunitary
tral charge [21,23,68]. For example,
random dynamics of free fermions in Ref. [68],
the
effective central charge obeys c ∝ β−1, where β is the
degree of non-Hermiticity. The different exponents, 2=3 of
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KAWABATA, NUMASAWA, and RYU
PHYS. REV. X 13, 021007 (2023)
[21,23,68]. By contrast,
our symplectic Hatano-Nelson model and 1 of the nonuni-
tary random dynamics in Ref. [68], signal the different
universality classes of the entanglement phase transition.
Furthermore, as also discussed above, temporal randomness
plays a crucial role in the entanglement phase transitions in
Refs.
the entanglement phase
transition in this work is based not on the randomness
but on the skin effect. As shown below, it arises from the
scale invariance of skin modes, and consequently,
the
underlying nonunitary conformal field theory is also anoma-
lously sensitive to the boundary conditions. Our model
provides a new type of nonequilibrium quantum phase
transitions that belongs to a different universality class.
D. Criticality of skin modes
We demonstrate that the nonequilibrium quantum criti-
cality at the phase transition point jγj ¼ jΔj originates from
the scale invariance of the skin modes due to an exceptional
point. To understand this, we first perform an imaginary
gauge transformation in a manner similar to the original
Hatano-Nelson model (Sec. III A). Here, because of the
spin degree of freedom, we consider the following SL(2)
gauge transformation rather than the GL(1) one [138]:
l ≔ ˆc†
ˆp†
l V
(cid:2)
elθ
0
(cid:3)
;
0
e−lθ
(cid:2)
e−lθ
0
0
elθ
(cid:3)
V−1 ˆcl;
ˆql ≔
ð32Þ
for θ ∈ C and V ∈ SLð2Þ [SLðnÞ is the special linear group
of n × n matrices with determinant 1]. This transformation
retains reciprocity in Eqs. (22) and (23). With these new
fermion operators ˆp†
l and ˆql, the symplectic Hatano-Nelson
model reads
ˆH ¼ −
1
2
(cid:8)
XL
(cid:2)
e−ðlþ1Þθ
ˆp†
lþ1
(cid:3)
V−1ðJ þ γσz − iΔσxÞV
0
eðlþ1Þθ
(cid:2)
elθ
(cid:3)
ˆql
0
e−lθ
(cid:9)
0
(cid:3)
0
(cid:3)
l¼1
(cid:2)
þ ˆp†
l
e−lθ
0
0
elθ
V−1ðJ − γσz þ iΔσxÞV
ˆqlþ1
:
ð33Þ
(cid:2)
eðlþ1Þθ
0
0
e−ðlþ1Þθ
Away from the critical point jγj ¼ jΔj, the non-Hermitian
matrix J − γσz þ iΔσx can be diagonalized by appropri-
ately choosing V:
V−1ðJ − γσz þ iΔσxÞV
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
γ2 − Δ2
J þ
p
¼
0
!
:
0
p
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
γ2 − Δ2
J −
ð34Þ
Furthermore,
e−θðJ þ
p
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
γ2 − Δ2
let us choose θ such that
Þ, i.e.,
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
γ2 − Δ2
Þ ¼ eθðJ −
p
it satisfies
exceptional point under the periodic boundary conditions
(see Sec. IV E for details).
If the skin effect occurs, the localization properties of
the skin modes are captured by the quasiparticles ˆpl and ˆql.
For Reθ > 0, the up-spin (down-spin) component of ˆpl is
exponentially localized at the right (left) edge while the up-
spin (down-spin) component of ˆql is exponentially local-
ized at the left (right) edge. Here, all the quasiparticles are
subject to the skin effect, and no delocalized modes are
present in the bulk. The localization length ξ of the single-
particle skin modes is obtained from Eq. (35) as
(cid:7)
θ ¼
1
2 log
(cid:2)
J þ
J −
p
p
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
γ2 − Δ2
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
γ2 − Δ2
(cid:3)
:
ð35Þ
ξ ¼
1
Reθ ¼
∞
1=jθj
ðjγj < jΔjÞ
ðjγj > jΔjÞ:
ð37Þ
With these choices of V and θ, the Hamiltonian reduces to
ˆH ¼ −
p
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
J2 − γ2 þ Δ2
2
XL−1
l¼1
ð ˆp†
lþ1 ˆql þ ˆp†
l ˆqlþ1Þ;
ð36Þ
in which the asymmetric hopping vanishes formally. It
can be further diagonalized similarly to Eq. (11). The
imaginary gauge transformation is feasible only under
the open boundary conditions in such a manner that the
boundary conditions are respected. The spectrum does
not show any singular behavior even across the critical
point jγj ¼ jΔj, which contrasts with the emergence of an
Thus, no skin effect occurs for jγj < jΔj while the recip-
rocal skin effect occurs for jγj > jΔj, which is consistent
with our numerical calculations in Fig. 8. Notably, around
the critical point jγj ¼ jΔj, the localization length ξ exhibits
the critical behavior:
ξ ≃
p
J
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
γ2 − Δ2
∝ ðjγj − jΔjÞ−1=2:
ð38Þ
At the critical point jγj ¼ jΔj, the localization length ξ of
the skin modes diverges, which signals the scale invariance.
Consequently, we find that
there emerge skin modes
decaying according to the power law due to an exceptional
021007-12
ENTANGLEMENT PHASE TRANSITION INDUCED …
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point. At the critical point jγj ¼ jΔj, the above imaginary
gauge transformation is no longer applicable. In fact, the
non-Hermitian matrix J − γσz þ iΔσx is nondiagonalizable
for jγj ¼ jΔj and supports an exceptional point. Instead of
the diagonalization in Eq. (34), the matrix is only trans-
formed into the Jordan normal form:
V−1ðJ − γσz þ iΔσxÞVjjγj¼jΔj ¼
(cid:2)
(cid:3)
:
J −γ
0
J
ð39Þ
As a result, the Hamiltonian reduces to
ˆH ¼ −
(cid:2)
(cid:8)
ˆp†
lþ1
1
0
J
2
XL−1
l¼1
(cid:3)
(cid:2)
ˆql þ ˆp†
l
γ=J
1
1 −γ=J
0
1
(cid:3)
ˆqlþ1
(cid:9)
:
ð40Þ
Because of
this defective
the nondiagonalizability,
Hamiltonian supports scale-invariant skin modes linearly
localized at the boundary. To see this, we study the spatial
distribution of the single-particle wave functions in a
transfer-matrix method (see, for example, Ref. [143]).
Let E ∈ C be a single-particle eigenenergy and jϕi ¼
P
l;s ϕl;sjlijsi be the corresponding eigenstate, where l
and s denote the sites and spins, respectively. The single-
particle Schrödinger equation in real space reads
(cid:2)
(cid:2)
(cid:3)
−
J
2
1 γ=J
0
1
⃗ϕl−1 −
J
2
1 −γ=J
0
1
(cid:3)
⃗ϕlþ1 ¼ E ⃗ϕl;
ð41Þ
with ⃗ϕl ¼ ðϕl;↑ϕl;↓ÞT. For simplicity, we consider a zero-
energy eigenstate (i.e., E ¼ 0). Then, we have
leading to
(cid:2)
⃗ϕlþ1 ¼ −
1 γ=J
0
1
(cid:3)
2
⃗ϕl−1;
⃗ϕ2lþ1 ¼ ð−1Þl
⃗ϕ2lþ2 ¼ ð−1Þl
(cid:2)
(cid:2)
1
0
1
0
(cid:3)
2l
γ=J
1
(cid:3)
2l
γ=J
1
⃗ϕ1;
⃗ϕ2:
ð42Þ
ð43Þ
ð44Þ
As an important property of the Jordan normal form, it is
nilpotent with index 2, i.e.,
(cid:8)(cid:2)
1 γ=J
0
1
(cid:3)
(cid:9)
n
− 1
¼ 0;
ð45Þ
for n ≥ 2. Consequently, we have
(cid:3)
(cid:2)
k ⃗ϕ2lþ1k ¼
(cid:11)
(cid:11)
(cid:11)
(cid:11)
1
2lγ=J
0
1
(cid:11)
(cid:11)
(cid:11)
(cid:11) ∝
2ljγj
J k ⃗ϕ1k;
⃗ϕ1
for sufficiently large l, meaning the linear growth of the
norm kϕlk of the wave function with respect to the site l.
Thus, the skin modes at the critical point are localized
linearly in contrast
to the exponentially localized skin
modes off the critical point. The linear localization of
the critical skin modes gets stronger for larger non-
Hermiticity jγj, which is compatible with the decrease of
entanglement entropy as a function of jγj (Fig. 12). We note
that similar power-law decay arises even for E ≠ 0 since the
lth power of the Jordan normal form still appears. It is also
notable that the lth power of a diagonalizable matrix gives
λl with the eigenvalue λ of the matrix. The emergence of the
power law in terms of l, rather than the exponential, is a
unique feature of nondiagonalizable matrices. In general,
the (n − 1)th power-law localization k ⃗ϕlk ∝ l−ðn−1Þ (l ≫ 1)
appears if an n × n Jordan matrix is concerned while only
the linear localization appears in the symplectic Hatano-
Nelson model.
The criticality of skin modes is understood also by a
continuum model. To have such a continuum model, let us
focus on a gapless point k ¼ π=2, around which the Bloch
Hamiltonian HðkÞ in Eq. (19) reads
HðkÞ ≃ Jk þ iγσz þ Δσx:
ð47Þ
Now, we consider a semi-infinite system with a domain
wall at x ¼ 0. The system is prepared as a vacuum for
x < 0 while the Hamiltonian for x > 0 is
HðxÞ ¼ −iJ∂x þ iγσz þ Δσx:
ð48Þ
Let E ∈ R be an eigenenergy and ⃗ϕðxÞ ∈ C2 be the
corresponding right eigenstate. For x > 0, the Schrödinger
equation reads
ð−iJ∂x þ iγσz þ ΔσxÞ ⃗ϕðxÞ ¼ E ⃗ϕðxÞ;
ð49Þ
which is solved as
⃗ϕðxÞ ¼ eiðE−iγσzþΔσxÞx=J ⃗ϕð0Þ
(cid:8)
(cid:3)
¼ eiEx=J
cosh
(cid:2)
x
ξ
ðγσz þ iΔσxÞξ
J
þ
(cid:3)(cid:9)
(cid:2)
x
ξ
⃗ϕð0Þ;
sinh
ð50Þ
p
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
γ2 − Δ2
with ξ ≔ J=
[i.e., Eq. (38)]. Thus, away from the
critical point (i.e., jγj ≠ jΔj), the wave function for large x
behaves as
(
k ⃗ϕðxÞk ≃
k ⃗ϕð0Þk
ðjγj < jΔjÞ
ex=ξk ⃗ϕð0Þk ðjγj > jΔjÞ;
ð51Þ
ð46Þ
which is consistent with the results for the corresponding
lattice model. At the critical point jγj ≠ jΔj, by contrast,
021007-13
KAWABATA, NUMASAWA, and RYU
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the relevant length scale ξ diverges, and the wave function
behaves as
(a)
(b)
k ⃗ϕðxÞk ≃ jγjx
J k ⃗ϕð0Þk;
ð52Þ
which also reproduces the linear localization of the skin
modes [i.e., Eq. (46)].
in equilibrium,
The scale invariance at the critical point appears also
for thermal phase transitions [144,145] and quantum
phase transitions [146] in equilibrium. At such a critical
the correlation length diverges
point
and the power-law correlation arises. By contrast, the
scale invariance of our non-Hermitian system originates
from the exceptional point and the concomitant scale-
invariant skin modes, which are intrinsic to open quantum
systems. Our results provide a new type of nonequili-
brium quantum criticality that has no analogs in closed
quantum systems.
We note in passing that
the phase transition in the
symplectic Hatano-Nelson model is distinct from a dis-
continuous phase transition in Refs. [147,148], which
studied the finite-size scaling of skin modes in the presence
of a symmetry-breaking perturbation. In these previous
works, skin modes are localized exponentially even at
the phase transition point. By contrast,
the symplectic
Hatano-Nelson model exhibits a continuous phase transi-
tion that hosts skin modes localized according to the power
law, for which the universal critical exponents such as
Eqs. (31), (38), and (46) are well defined.
E. Criticality for the periodic boundary conditions
To understand the significance of the skin effect, we
also study the entanglement dynamics of the symplectic
Hatano-Nelson model with periodic boundaries. Under the
periodic boundary conditions, the model exhibits a phase
transition also at jγj ¼ jΔj. However, the phase transition
is not characterized by the skin effect but the reality of
the spectrum. In fact, eigenstates are always delocalized
throughout the system because of translation invariance.
Meanwhile, the spectrum EðkÞ in Eq. (20) is entirely real
for jγj ≤ jΔj but no longer real for jγj > jΔj. At the critical
point jγj ¼ jΔj, the Bloch Hamiltonian HðkÞ in Eq. (19) is
not diagonalizable and forms an exceptional point.
Similarly to the open boundary conditions, the time-
averaged spin current vanishes below the critical point
(Fig. 13). Above the critical point, the spectrum is complex,
and the system relaxes to the many-body eigenstate that
possesses the largest
the complex
spectrum. This nonequilibrium steady state is characterized
by the nonzero spin current, which is qualitatively similar
to the spin current induced by the skin effect (Fig. 10). It
should be noted that the spin current for the open boundary
conditions is carried by a superposition of many-body skin
modes instead of a single eigenstate. Around the critical
imaginary part of
FIG. 13. Spin current in the symplectic Hatano-Nelson model
with periodic boundaries (L ¼ 100, J ¼ 1.0, Δ ¼ 0.5). The
initial state is prepared as Eq. (24). (a) Time evolution of the
spin current for γ ¼ 0.0 (black dashed curve), 0.2 (blue curve),
0.4, 0.5, 0.6 (green curves), 0.8 (orange curve), and 1.0 (red
curve). (b) Spin current for the steady state as a function of
non-Hermiticity γ. The black dashed curve is the fitting result
Is ¼ 123Jðγ=J − Δ=JÞ0.50 around the critical point γ ¼ Δ.
point, the steady-state spin current exhibits the power-law
behavior,
(cid:3)
0.50(cid:3)0.02
(cid:2)
jγj − jΔj
J
Is ∝ J
ðjγj ≥ jΔjÞ;
ð53Þ
where the critical exponent 0.50 (cid:3) 0.02 is close to 1=2.
This critical exponent may be related to the point-gap
closing and the concomitant emergence of an exceptional
point, where the complex spectrum in Eq. (20) exhibits
the similar critical behavior ImEðkÞ ∝ ðjγj − jΔjÞ1=2 for
jγj ≥ jΔj.
We also study the entanglement dynamics for
the
periodic boundary conditions. Qualitatively, it is similar
to the entanglement dynamics for the open boundary
conditions: the entanglement entropy of the nonequilibrium
steady state is extensive below the critical point while it is
suppressed above the critical point [Fig. 14(a)]. However,
the steady state exhibits a distinct critical behavior around
the phase transition point jγj ¼ jΔj. Below the transition
the steady-state
point
entanglement
critical behavior
[Fig. 14(b)],
entropy exhibits
the density of
jγj ≤ jΔj),
(i.e.,
the
(cid:2)
(cid:3)
0.33(cid:3)0.02
SsðL; L=2Þ
L
∝
jΔj − jγj
J
;
ð54Þ
jγj ¼ jΔj,
whose critical exponent 0.33 (cid:3) 0.02 deviates from that
under the open boundary conditions in Eq. (29). At the
critical point
the steady-state entanglement
entropy under the periodic boundary conditions is much
smaller than that under the open boundary conditions.
According to conformal field theory [9,142], the entangle-
ment entropy SsðL; lÞ of a one-dimensional quantum
critical system with periodic boundaries behaves by
SsðL; lÞ ¼
c
3 log
(cid:2)
sin
(cid:3)
πl
L
þ S0:
ð55Þ
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(a)
(b)
(c)
(d)
(e)
FIG. 14. Entanglement entropy of the symplectic Hatano-
Nelson model with periodic boundaries (L ¼ 100, J ¼ 1.0).
The initial state is prepared as Eq. (24). (a) Time evolution of
the entanglement entropy SðL; L=2Þ (Δ ¼ 0.5) for γ ¼ 0.0 (black
dashed curve), 0.2 (blue curve), 0.4, 0.5, 0.6 (green curves), 0.8
(orange curve), and 1.0 (red curve). (b) Entanglement entropy
density SðL; L=2Þ=L for the steady state as a function of non-
Hermiticity γ (Δ ¼ 0.5). The black dashed curve is the fitting
result SðL; L=2Þ=L ¼ 0.56ðΔ=J − γ=JÞ0.33 around the critical
point γ ¼ Δ. (c) Entanglement entropy SðL; lÞ for the steady
state at the critical point (γ ¼ Δ) as a function of the subsystem
length l for γ ¼ 0.0, 0.1, 0.2, 0.4, 0.6, 0.8, and 1.0. (d) Effective
central charge c as a function of γ at the critical point (γ ¼ Δ).
The black dashed line shows c ¼ 2. (e) cn obtained from the
R´enyi entanglement entropy SðnÞðL; lÞ for the steady state at the
critical point (γ ¼ Δ ¼ 1.0) as a function of the R´enyi index n.
The black dashed curve shows the conformal field theory result
cn ¼ cð1 þ 1=nÞ=2 with c ¼ 2.
We confirm that our numerical results for the steady states
are consistent with this subextensive behavior [Fig. 14(c)].
Remarkably, in contrast to the parameter-dependent central
charge for the open boundary conditions, the effective
central charge does not depend on the system parameter
jγ=Jj ¼ jΔ=Jj and is obtained as the following constant
[Fig. 14(d)]:
c ¼ 2.04 (cid:3) 0.08;
ð56Þ
which is compatible with the effective central charge c ¼ 2
of non-Hermitian free fermions [91]. The different behavior
of the effective central charge c means the different
universality classes of the entanglement phase transition.
Moreover, we investigate the R´enyi entanglement en-
tropy for the steady state, which is defined as SðnÞ
s ≔
ðtr log ˆρnÞ=ð1 − nÞ for the reduced density operator ˆρ and
coincides with the von Neumann entanglement entropy Ss
for n → 1. According to conformal field theory, the R´enyi
entanglement entropy also follows the scaling in Eq. (55),
where the central charge c is
replaced by cn ≔
cð1 þ 1=nÞ=2 [9,142]. We also confirm this conformal
field theory scaling with respect to the R´enyi index n
[Fig. 14(e)]. We note that the parameter dependence of the
effective central charge for small non-Hermiticity γ is due
to a finite-size effect that interpolates between the unitary
and nonunitary critical points.
Importantly, the mechanism of the entanglement phase
transition is different depending on the boundary conditions.
Under the periodic boundary conditions, the entanglement
phase transition originates from the real-complex spectral
transition. At the critical point, the Bloch Hamiltonian is
defective and exhibits an exceptional point. This is similar to
the entanglement phase transition due to parity-time-sym-
metry breaking [70]. In such a case, the effective central
charge is the constant in Eq. (56). Under the open boundary
conditions, on the other hand, the model exhibits no spectral
transitions. While non-Hermiticity is irrelevant to the spec-
trum, it gives rise to a length scale of the skin modes. Then, the
nonequilibrium quantum criticality is induced by the scale
invariance of the skin modes, as discussed in Sec. IV D. The
effective central charge depends on the system parameter
[i.e., Eq. (31)] in contrast to unitary conformal field theory.
Despite these differences, the critical behavior of the
bulk modes and that of the boundary (i.e., skin) modes may
have a hidden connection with each other. In fact, the skin
effect under the open boundary conditions originates from
the non-Hermitian topological invariant under the periodic
boundary conditions [111,121,122], which can be consid-
ered as
the bulk-boundary correspondence of non-
Hermitian topological systems. In this respect, it is of
importance to consider the different critical behaviors of the
bulk and boundary modes in terms of nonunitary conformal
field theory. It is also notable that while the bulk and
boundary modes are clearly separated in the symplectic
Hatano-Nelson model, they can appear simultaneously in
more generic non-Hermitian models.
V. PURIFICATION INDUCED BY THE
LIOUVILLIAN SKIN EFFECT
We have so far considered the conditional dynamics
effectively described by non-Hermitian Hamiltonians.
Notably, the skin effect occurs also in the open quantum
dynamics described by the master equation [149,150],
d
dt
ˆρ ¼ Lˆρ;
ð57Þ
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KAWABATA, NUMASAWA, and RYU
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where L is a Liouvillian that acts on the density operator ˆρ
(see Appendix A for a relationship between non-Hermitian
Hamiltonians and Liouvillians in the quantum trajectory
approach). Although the Liouvillian L is not an operator
but a superoperator, it is still non-Hermitian. Consequently,
L can exhibit the skin effect in a similar manner to non-
Hermitian Hamiltonians [130–134]. Here, we demonstrate
that the Liouvillian skin effect has a significant influence
on the open quantum dynamics described by the master
equation. In particular, we show that the Liouvillian skin
effect leads to the purification and the reduction of von
Neumann entropy for the steady state.
We consider
the following prototypical model
that
exhibits the Liouvillian skin effect [131]:
Lˆρ ≔
XL
X
l¼1
n¼R;L
(cid:2)
ˆLln ˆρ ˆL†
ln −
1
2 f ˆL†
ln
ˆLln; ˆρg
(cid:3)
;
ð58Þ
where the jump operators are
ˆLlR ≔
r
ffiffiffiffiffiffiffiffiffiffiffi
J þ γ
2
ˆc†
lþ1 ˆcl;
ˆLlL ≔
r
ffiffiffiffiffiffiffiffiffiffiffi
J − γ
2
ˆc†
l ˆclþ1;
ð59Þ
ð60Þ
to the right and from the right
with J > 0 and jγj ≤ J. Similarly to the Hatano-Nelson
model, ˆLnR and ˆLnL describe the dissipative hopping from
the left
to the left,
respectively. Consequently, in the presence of the asym-
metry of the hopping (i.e., γ ≠ 0),
the spectrum and
eigenstates of the Liouvillian dramatically change accord-
ing to the boundary conditions. In particular, the steady
state ˆρs greatly depends on the boundary conditions. In this
Liouvillian, the total particle number
is
conserved. This
in
Refs. [130,132,134], in which the total particle number
decreases with time.
l¼1 ˆc†
l ˆcl
contrasts with the Liouvillians
ˆN ¼
P
L
Z ≔
XL
l¼1
rL ¼
rðrL − 1Þ
r − 1
:
ð63Þ
P
We note in passing that the steady state in Eq. (62) is
formally equivalent to the Gibbs state Z−1
l¼1 e−βEljlihlj
with the linear potential βEl ≔ −l log r. While the effective
temperature is infinite in the absence of the asymmetric
hopping (i.e., γ ¼ 0),
it decreases as the asymmetric
hopping jγj increases and reaches zero for the completely
asymmetric hopping γ ¼ (cid:3)J.
L
We demonstrate that the skin effect has a considerable
influence on the open quantum dynamics even in the
Markovian regime. In particular, the skin effect can purify
mixed states. Let us prepare an initial state as the com-
pletely mixed state ˆρ0 ∝ 1 and consider the dynamics
described by the Liouvillian in Eq. (58). As shown in
Fig. 15(a), the initially low purity monotonically increases
with time. The purity for the steady state increases with the
larger asymmetry jγj,
leading to a pure state for the
completely asymmetric hopping γ ¼ (cid:3)J [Fig. 15(b)].
The steady-state purity is analytically obtained from
Eq. (62) as
Ps ≔ tr ˆρ2
s ¼
r − 1
r þ 1
rL þ 1
rL − 1
≃
γ
J
;
ð64Þ
(a)
(b)
(c)
(d)
For the single-particle case, the steady state for the
periodic boundary conditions is the completely mixed state
(see Appendix D for details),
ˆρs ¼
1
L
;
ð61Þ
while the steady state for the open boundary conditions is
the skin modes,
ˆρs ¼
1
Z
XL
l¼1
rljlihlj;
ð62Þ
with r ≔ ðJ þ γÞ=ðJ − γÞ, jli ≔ ˆc†
zation constant,
l jvaci, and the normali-
FIG. 15. Purification induced by the Liouvillian skin effect
(L ¼ 50, J ¼ 1.0). The initial state is prepared as the completely
mixed state ˆρ0 ¼ 1=L with the purity P0 ¼ 1=L and the von
Neumann entropy S0 ¼ log L. (a) Time evolution of the purity
for γ ¼ 0.0 (black dashed curve), γ ¼ 0.2 (blue curve), γ ¼ 0.4
(green curve), γ ¼ 0.6 (light green curve), γ ¼ 0.8 (orange
curve), and γ ¼ 1.0 (red curve). (b) Steady-state purity as a
function of γ (red curve), consistent with the analytical result
Ps ≃ γ=J (black dashed curve). (c) Time evolution of the von
Neumann entropy. (d) Steady-state von Neumann entropy as a
function of γ (red curve), consistent with the analytical result
Ss ≃ ðJ þ γ=2γÞ logðJ þ γ=2γÞ − ðJ − γ=2γÞ logðJ − γ=2γÞ (black
dashed curve).
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for γ > 0 and L → ∞. This analytical formula is consistent
with the numerical results.
We also calculate the time evolution of the von Neumann
entropy S ≔ −tr ˆρs log ˆρs, as shown in Fig. 15(c). While
the reciprocal dynamics realizes the maximal entropy, the
asymmetry of the dissipative hopping lowers the entropy.
The entropy Ss for the steady state monotonically decreases
as a function of jγj, reaching zero for the completely
asymmetric case γ ¼ (cid:3)J [Fig. 15(d)]. Here, Ss is also
analytically obtained as
Ss ≔ −tr ˆρs log ˆρs
¼ log Z − log r
r − 1
(cid:2)
(cid:2)
(cid:3)
J þ γ
2γ
log
≃
LrLþ1
Z þ
(cid:3)
J þ γ
2γ
log r
r − 1
(cid:2)
−
J − γ
2γ
(cid:3)
(cid:2)
J − γ
2γ
(cid:3)
;
log
ð65Þ
for γ > 0 and L → ∞. Notably, while the steady-state
entropy Ss subextensively increases with respect to the
system length L (i.e., Ss ¼ log L) in the absence of the skin
effect, Ss is independent of L (i.e., area law) in the presence
of the skin effect. This is similar to the entanglement
suppression of the open quantum dynamics effectively
described by a non-Hermitian Hamiltonian that is discussed
in the previous sections.
The purification and suppression of the von Neumann
entropy are induced by the Liouvillian skin effect. Under
the periodic boundary conditions, no skin effect occurs, and
the steady state is the completely mixed state in Eq. (61).
Consequently, no purification occurs, and the steady state is
characterized by the maximal entropy.
[12–25]. However,
It is also notable that purification can arise from quantum
measurements
such measurement-
induced purification occurs only in the conditional dynam-
ics of a particular quantum trajectory. This conditional
nature of the open quantum dynamics is a key to the
measurement-induced phase transitions. By contrast, we
here demonstrate that the skin effect leads to the purifica-
tion even in the Markovian master equation characterized
by a Liouvillian, which describes the open quantum
dynamics averaged over multiple quantum trajectories.
This also shows a significant role of the skin effect in
the open quantum dynamics.
VI. DISCUSSION
The entanglement dynamics provides the foundations of
quantum statistical physics. However, the nature of entan-
glement in open quantum systems has remained elusive in
contrast to closed quantum systems. In this work, we show
that the skin effect, a universal feature intrinsic to non-
Hermitian systems, has a significant impact on the entan-
glement dynamics in open quantum systems. We show that
the skin effect suppresses the entanglement growth and
even induces an entanglement phase transition. This is
triggers the
different from the known mechanism that
entanglement phase transition such as quantum measure-
ments [12–25]. While we consider the prototypical models
for illustrative purposes, the skin effect originates solely
from non-Hermitian topology, and hence our entanglement
phase transition should generally arise in a wide range of
open quantum systems. On the basis of the recent exper-
imental observations of the skin effect in open quantum
systems [128,129], as well as the realization of non-
Hermitian spin-orbit-coupled fermions [55], our results
should be observed in a similar experimental setup.
We show that our entanglement phase transition accom-
panies anomalous nonequilibrium quantum criticality that
is described by the boundary-sensitive effective central
charges [cf. the difference between Figs. 12(b) and 14(d)].
These anomalous critical behaviors imply a new univer-
sality class of phase transitions in open quantum systems.
It merits further study to derive the nonunitary conformal
field theory that describes the nonequilibrium quantum
criticality induced by the skin effect. The different critical
behaviors in the bulk and boundaries may be unified into
the same field theory. In this respect, it is worth noting
that
the skin effect can be considered as a quantum
anomaly of a topological field theory intrinsic to non-
Hermitian systems [111].
Furthermore, we demonstrate that our entanglement
phase transition is induced by the criticality of skin modes
that decay according to the power law. Notably, while the
conventional Bloch band theory cannot describe the skin
modes, recent works developed a non-Bloch band theory
that correctly characterizes the skin modes [94,119,122].
However, the non-Bloch band theory only predicts the
exponentially localized skin modes and cannot describe the
critical skin modes discovered in this work. It is significant
to generally develop a modified band theory that captures
the phase transitions and critical phenomena induced by
the non-Hermitian skin effect. Additionally, the skin effect
leads to the slowdown of relaxation processes [131]. The
critical skin effect should yield the logarithmic correction
of the relaxation time.
We also show that the skin effect plays an important role
in the open quantum dynamics described by the master
equation. In particular, the skin effect changes the proper-
ties of the nonequilibrium steady state and increases the
purity and decreases the von Neumann entropy. These
findings may lead to potential applications of the skin effect
in quantum information science. They also imply that the
skin effect has a considerable impact in a wide range of
open classical and quantum dynamics. In this research
direction, it is worth studying the role of the skin effect,
for example, in quantum circuits. We note in passing that
recent works have found signatures of non-Hermitian
[151,152].
topology in monitored quantum circuits
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Moreover, it is meaningful to explore the relevance of the
skin effect in classical stochastic processes such as the
asymmetric simple exclusion process [153].
Another remarkable mechanism that prohibits the quan-
tum diffusion is disorder. In closed quantum systems,
sufficiently strong disorder drives the systems into the
Anderson [136,137] or many-body [3] localization, result-
ing in the absence of thermalization. While the skin effect
also accompanies an extensive number of
localized
eigenmodes similarly to the disorder-induced localization,
we emphasize that it does not rely on disorder and thus
gives a different mechanism that hinders the entanglement
propagation and thermalization. Meanwhile, it is intriguing
to consider the open quantum dynamics in the presence of
disorder. In fact, non-Hermiticity changes the universality
[135,138,154–161].
classes of
The interplay of disorder and dissipation should further
enrich phase transitions and critical phenomena in open
quantum systems.
localization transitions
While we focus on one-dimensional systems in this
work, it is also worthwhile to study non-Hermitian systems
in higher dimensions. Different types of skin effects appear
in higher dimensions, such as the chiral magnetic skin
effect [111,162–164], higher-order skin effect [165,166],
and defect-induced skin effect [167–169]. These higher-
dimensional skin effects may give rise to further different
universality classes of phase transitions and critical phe-
nomena in open quantum systems. It is also of interest to
study the entanglement dynamics of non-Hermitian inter-
acting systems. Several recent works have shown that
the interplay of non-Hermiticity and many-body inter-
[170–177].
actions
Similarly to the many-body localized phases due to dis-
order [178–180], many-body skin modes may exhibit the
logarithmic violation of the area law for the entanglement
growth.
to new quantum phases
leads
ACKNOWLEDGMENTS
We thank Anish Kulkarni and Yuhan Liu for helpful
discussions. K. K. is supported by the Japan Society for the
Promotion of Science (JSPS)
through the Overseas
Research Fellowship. S. R. is supported by the National
Science Foundation under Award No. DMR-2001181,
and by a Simons Investigator Grant from the Simons
Foundation (Award No. 566116). This work is supported
by the Gordon and Betty Moore Foundation through
Grant No. GBMF8685 toward the Princeton theory
program.
APPENDIX A: EFFECTIVE NON-HERMITIAN
HAMILTONIANS
The non-Hermitian Hamiltonians in Eqs. (1) and (18)
can be realized in the quantum trajectory approach [44–48].
Let us consider a Markovian open quantum system,
ðA2Þ
ðA3Þ
which is generally described by the Lindblad master
equation [149,150]:
d
dt
ˆρ ¼ −i½ ˆH; ˆρ(cid:2) þ
(cid:2)
X
n
ˆLn ˆρ ˆL†
n −
(cid:3)
ˆLn; ˆρg
;
1
2 f ˆL†
n
ðA1Þ
where ˆρ is the density operator, ˆH is the Hamiltonian that
describes the coherent dynamics, and ˆLn’s are the jump
operators that describe the coupling to the external envi-
ronment. This master equation can be written as
d
dt
ˆρ ¼ −ið ˆH
eff
ˆρ − ˆρ ˆH†
effÞ þ
X
ˆLn ˆρ ˆL†
n;
n
with the effective non-Hermitian Hamiltonian:
ˆH
eff
≔ ˆH −
i
2
X
ˆL†
n
ˆLn:
n
P
ˆLn ˆρ ˆL†
n
p
ˆLn
ffiffiffiffiffi
dt
to stochastic loss events. Here,
The last term
n specifies each quantum trajectory
subject
can be
considered to be a measurement operator for a signal n in
the time interval ½t; t þ dt(cid:2), and 1 − i ˆH
dt can be consid-
ered to be a measurement operator for no signals. Under
continuous monitoring and postselection of the null meas-
urement outcome,
the quantum jumps are no longer
relevant, and the dissipative dynamics is described by
the effective non-Hermitian Hamiltonian ˆH
To obtain the Hatano-Nelson model
eff.
in Eq. (1), we
choose the Hamiltonian ˆH and the jump operators ˆLl’s
(l ¼ 1; 2; …; L) to be [104]
eff
J
2
p
XL
l¼1
ffiffiffiffiffi
jγj
ˆH ¼ −
ðˆc†
lþ1 ˆcl þ ˆc†
l ˆclþ1Þ;
ˆLl ¼
½ˆcl þ i sgn ðγÞˆclþ1(cid:2):
ðA4Þ
ðA5Þ
Although the effective Hamiltonian ˆH
eff differs from Eq. (1)
P
by the background constant loss −ijγj ˆN ¼ −ijγj
L
l ˆcl,
it only describes the total decay of the system and does not
contribute to the dynamics of the wave function. Similarly, to
obtain the symplectic Hatano-Nelson model in Eq. (18), we
choose ˆH and ˆLl’s (l ¼ 1; 2; …; L) to be
l¼1 ˆc†
ˆH ¼ −
1
2
XL
l¼1
lþ1ðJ − iΔσxÞˆcl þ ˆc†
½ˆc†
l ðJ þ iΔσxÞˆclþ1(cid:2);
ˆLl;↑ ¼
ˆLl;↓ ¼
p
p
ffiffiffiffiffi
jγj
ffiffiffiffiffi
jγj
½ˆcl þ i sgn ðγÞˆclþ1(cid:2);
½ˆcl − i sgn ðγÞˆclþ1(cid:2):
ðA6Þ
ðA7Þ
ðA8Þ
As described above, the open quantum dynamics char-
acterized by the non-Hermitian Hamiltonian is conditional,
and the success probability of having the desirable non-
Hermitian Hamiltonian can be low at long time. This is
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ENTANGLEMENT PHASE TRANSITION INDUCED …
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different
from the quantum master equation, which
describes the open quantum dynamics of the mixed states
averaged over many quantum trajectories and hence is
free from the postselection. However, in certain cases, this
difficulty can be circumvented, and the effective non-
Hermitian Hamiltonian is well realized with a reasonable
probability (see, for example, Ref. [85]). In this respect, it is
also notable that a similar experimental difficulty should
arise also in the measurement-induced phase transitions.
In fact, only a quantum trajectory conditioned on a set of
measurement outcomes can exhibit an entanglement phase
transition, while the mixed quantum state averaged over
many quantum trajectories should not exhibit such a phase
transition. Still, a different way to realize the measurement-
induced phase transitions without the postselection of a
certain set of measurement outcomes has recently been
proposed [24]. Finally, while we here focus on the quantum
trajectory approach, it should be noted that the effective
non-Hermitian Hamiltonians can be justified also by the
Feshbach projection formalism [49–52].
APPENDIX B: NUMERICAL METHOD
FOR THE DYNAMICS OF NON-HERMITIAN
FREE FERMIONS
We describe a numerical method to investigate the
dynamics of non-Hermitian free (i.e., quadratic) fermions.
An initial state jψ 0i evolves by the non-Hermitian
Hamiltonian ˆH as Eq. (5). The denominator ke−i ˆHtjψ 0ik
describes the normalization of the evolved state due to the
conditional nature of the non-Hermitian Hamiltonian. This
time evolution is equivalently described by the nonlinear
Schrödinger equation [65]:
i
d
dt jψi ¼ ð ˆH − hψj ˆHjψiÞjψi:
ðB1Þ
Despite non-Hermiticity of the Hamiltonian,
the total
particle number is conserved under the dynamics when
the initial state is an eigenstate of the particle number
operator (i.e., ˆNjψ 0i ¼ Njψ 0i). This is a consequence of
U(1) symmetry ½ ˆH; ˆN(cid:2) ¼ 0.
We first consider a spinless-fermionic system such as
the Hatano-Nelson model. We prepare an initial state as a
Gaussian state with a fixed particle number N. As an
advantage of the quadratic Hamiltonian, the evolved state
remains to be a Gaussian state through the time evolution in
Eq. (5). Thus, the state can always be represented as
(cid:2)XL
YN
(cid:3)
jψðtÞi ¼
UlnðtÞˆc†
l
jvaci;
ðB2Þ
n¼1
l¼1
where jvaci is the fermionic vacuum and U is the L × N
isometry satisfying
U†U ¼ 1:
ðB3Þ
In this representation, the matrix U ¼ UðtÞ contains all
information about the quantum dynamics. In particular,
the L × L correlation matrix,
CijðtÞ ≔ hψðtÞjˆc†
i ˆcjjψðtÞi;
ðB4Þ
is obtained as
CðtÞ ¼ ½UðtÞU†ðtÞ(cid:2)T:
ðB5Þ
From the correlation matrix, the local particle number in
Eq. (6) reads
nlðtÞ ¼ CllðtÞ;
and the local charge current in Eq. (15) reads
IlðtÞ ¼ J Im½Clþ1;lðtÞ(cid:2):
ðB6Þ
ðB7Þ
To calculate the entanglement entropy S between the
subsystem ½x1; x2(cid:2) and the rest of the system, we diago-
x2
nalize the ðx2 − x1 þ 1Þ × ðx2 − x1 þ 1Þ submatrix ½C(cid:2)
i;j¼x1
and obtain its eigenvalues λn’s (n ¼ 1; 2; …; x2 − x1 þ 1).
Then, the von Neumann entanglement entropy is given as
S ¼ −
Xx2−x1þ1
i¼1
½λi log λi þ ð1 − λiÞ log ð1 − λiÞ(cid:2);
ðB8Þ
and the R´enyi entanglement entropy is
SðnÞ ¼
1
1 − n
Xx2−x1þ1
i¼1
log ½λn
i þ ð1 − λiÞn(cid:2);
ðB9Þ
with the R´enyi index n. Here, we calculate the entangle-
ment entropy from a single wave function instead of the
biorthogonal density operator constructed from both right
and left eigenstates [87,91].
The time evolution of U ¼ UðtÞ is efficiently calculated
as follows. After the time interval Δt, the state evolves as
jψðt þ ΔtÞi ∝ e−i ˆHΔtjψðtÞi
(cid:2)XL
YN
¼
n¼1
l¼1
½e−ihΔtU(cid:2)lnðtÞˆc†
l
(cid:3)
jvaci;
ðB10Þ
P
where h is the L × L single-particle Hamiltonian (i.e.,
ˆH ¼
i hij ˆcj). To restore the normalization condi-
tion hψðtÞjψðtÞi ¼ 1, we perform the QR decomposition,
i;j¼1 ˆc†
L
e−ihΔtU ¼ QR;
ðB11Þ
021007-19
KAWABATA, NUMASAWA, and RYU
PHYS. REV. X 13, 021007 (2023)
where Q is an L × N matrix satisfying Q†Q ¼ 1 and R is
an upper triangular matrix. The L × N matrix Uðt þ ΔtÞ is
obtained as
Uðt þ ΔtÞ ¼ Q:
ðB12Þ
In our numerical calculations, we choose Δt ¼ 0.05 for
J ¼ 1.0. This numerical method is applicable even in the
presence of spatial or temporal disorder. A similar numeri-
cal method was used to investigate the open quantum
dynamics of monitored free fermions [17,23].
The dynamics of a spinful system including the sym-
plectic Hatano-Nelson model
in Eq. (18) can also be
calculated in a similar manner. In the spinful case, the
state is represented as
(cid:2)XL
X
YN
(cid:3)
jψðtÞi ¼
UlsnðtÞˆc†
ls
jvaci;
ðB13Þ
n¼1
l¼1
s¼↑;↓
where s describes the spin degree of freedom, and the
isometry U is now the 2L × N matrix satisfying U†U ¼ 1.
From U, the 2L × 2L correlation matrix C is obtained as
Cis;js0ðtÞ ≔ hψðtÞjˆc†
is ˆcjs0jψðtÞi
¼ ½UðtÞU†ðtÞ(cid:2)js0;is:
ðB14Þ
APPENDIX C: DIFFERENT INITIAL
CONDITIONS
We provide additional numerical results on the critical
behavior
for
different initial conditions. We prepare the initial state as
the fully polarized state,
in the symplectic Hatano-Nelson model
jψ 0i ¼
(cid:3)
ˆc†
l;↑
jvaci;
(cid:2)YL
l¼1
ðC1Þ
and obtain the effective central charge from the logarithmic
scaling of the steady-state entanglement entropy for both
open and periodic boundary conditions (Fig. 16). The
obtained effective central charges are consistent with those
for the different initial state in Eq. (24). We also prepare the
initial state as
jψ 0i ¼
(cid:2)YL=4
l¼1
(cid:3)
4l−3;↑ ˆc†
ˆc†
4l−3;↓
jvaci;
ðC2Þ
the
which has the different particle number. Under
open boundary conditions, the effective central charges
behave differently for jγj ≪ J,
in which the universal
behavior should not be expected because of a significant
(a)
(b)
FIG. 16. Effective central charge c of the symplectic Hatano-
Nelson model (L ¼ 100, J ¼ 1.0) at the critical point (γ ¼ Δ)
under the (a) open boundary conditions and (b) periodic boun-
dary conditions. For each γ ¼ Δ, the effective central charge c is
obtained from the logarithmic scaling of the steady-state entan-
glement entropy for the initial states in Eq. (24) (red dots),
Eq. (C1) (blue dots), and Eq. (C2) (green dots). The black dashed
lines are (a) c ∝ γ−2=3 and (b) c ¼ 2.
crossover between the unitary and nonunitary critical
points. For jγj ≃ J, on the other hand,
the power-law
scaling c ∝ γ−2=3 in Eq. (31) appears. Under the periodic
boundary conditions,
the effective central charge is
obtained as c ≃ 2 and hence consistent with those for
the different initial conditions.
APPENDIX D: DIAGONALIZATION
OF LIOUVILLIANS
We exactly solve the Liouvillian described by Eqs. (58),
(59), and (60) in the single-particle Hilbert space [131].
First, for the periodic boundary conditions, we have
Ljlihlj ¼
1
2 ½ðJ þ γÞjl þ 1ihl þ 1j
þ ðJ − γÞjl − 1ihl − 1j(cid:2) − Jjlihlj;
ðD1Þ
for l ¼ 1; 2; …; L. Here, jli ≔ ˆc†
l jvaci is the single-particle
state at site l, and we have j0i ¼ jLi and jL þ 1i ¼ j1i
owing to the periodic boundary conditions. Notably,
Eq. (D1) is formulated in the subspace spanned solely
by the diagonal states fj1ih1j; j2ih2j; …; jLihLjg. The
matrix representation of L in this subspace coincides with
the single-particle matrix of the Hatano-Nelson model in
Eq. (1) with periodic boundaries. Therefore, the eigenval-
ues of L are
1
2 ½ðJ þ γÞe−ik þ ðJ − γÞeik(cid:2) − J
¼ Jðcos k − 1Þ − iγ sin k;
ðD2Þ
and the corresponding eigenstates are the plane waves,
1
L
XL
l¼1
eikljlihlj;
ðD3Þ
021007-20
ENTANGLEMENT PHASE TRANSITION INDUCED …
PHYS. REV. X 13, 021007 (2023)
with k ∈ f0; 2π=L; 4π=L; …; 2πðL − 1Þ=Lg. Thus,
the
steady state, which is the zero mode of L, is given as
the plane wave with zero momentum k ¼ 0:
ˆρs ¼
1
L
XL
l¼1
jlihlj:
ðD4Þ
The other eigenstates superposed by off-diagonal states do
not contribute to the steady state [131].
For the open boundary conditions, on the other hand, the
Liouvillian exhibits the skin effect in a similar manner to
the Hatano-Nelson model. We still have Eq. (D1) for the
bulk l ¼ 2; 3; …; L − 1. At the boundaries, we have
Lj1ih1j ¼
J þ γ
2
j2ih2j −
J þ γ
2
j1ih1j;
ðD5Þ
LjLihLj ¼
J − γ
2 jL − 1ihL − 1j −
J − γ
2 jLihLj:
ðD6Þ
Because of the different boundary conditions, the steady
state of L is now given as
ˆρs ∝
XL
l¼1
rljlihlj;
ðD7Þ
with r ≔ ðJ þ γÞ=ðJ − γÞ.
It is also notable that the relaxation process speeds up for
the larger asymmetry γ. The relaxation time τ subject to the
Liouvillian skin effect is given as
τ ≃
L
ξΔ
;
ðD8Þ
where ξ is the localization length of the skin mode,
and Δ is the Liouvillian gap [131]. From ξ ¼ 1=log r
and Δ ¼ J −
for Eq. (58), we have
ffiffiffiffiffiffiffiffiffiffiffiffiffiffi
J2 − γ2
p
τ ≃
L
ffiffiffiffiffiffiffiffiffiffiffiffiffiffi
p
J2 − γ2
J −
log
J þ γ
J − γ
:
ðD9Þ
This is a decreasing function of 0 ≤ γ ≤ J and consistent
with the numerical results in Fig. 15.
[1] A. Polkovnikov, K. Sengupta, A. Silva,
and M.
Vengalattore, Colloquium: Nonequilibrium Dynamics of
Closed Interacting Quantum Systems, Rev. Mod. Phys. 83,
863 (2011).
[2] J. Eisert, M. Friesdorf, and C. Gogolin, Quantum Many-
Body Systems Out of Equilibrium, Nat. Phys. 11, 124
(2015).
[3] R. Nandkishore and D. A. Huse, Many-Body Localization
and Thermalization in Quantum Statistical Mechanics,
Annu. Rev. Condens. Matter Phys. 6, 15 (2015).
[4] L. D’Alessio, Y. Kafri, A. Polkovnikov, and M. Rigol,
From Quantum Chaos and Eigenstate Thermalization to
Statistical Mechanics and Thermodynamics, Adv. Phys.
65, 239 (2016).
[5] S. Trotzky, Y.-A. Chen, A. Flesch,
I. P. McCulloch,
U. Schollwöck, J. Eisert, and I. Bloch, Probing the
Relaxation towards Equilibrium in an Isolated Strongly
Correlated One-Dimensional Bose Gas, Nat. Phys. 8, 325
(2012).
[6] M. Gring, M. Kuhnert, T. Langen, T. Kitagawa, B. Rauer,
M. Schreitl, I. Mazets, D. A. Smith, E. Demler, and J.
Schmiedmayer, Relaxation and Prethermalization in an
Isolated Quantum System, Science 337, 1318 (2012).
[7] A. M. Kaufman, M. E. Tai, A. Lukin, M. Rispoli, R.
Schittko, P. M. Preiss, and M. Greiner, Quantum Thermal-
ization through Entanglement in an Isolated Many-Body
System, Science 353, 794 (2016).
[8] J. Smith, A. Lee, P. Richerme, B. Beyenhuis, P. W. Heiss,
P. Hauke, M. Heyl, D. A. Huse, and C. Monroe, Many-
Body Localization in a Quantum Simulator with Program-
mable Random Disorder, Nat. Phys. 12, 907 (2016).
[9] P. Calabrese and J. Cardy, Evolution of Entanglement
Entropy in One-Dimensional Systems, J. Stat. Phys. (2005)
P04010; Time Dependence of Correlation Functions
Following a Quantum Quench, Phys. Rev. Lett. 96,
136801 (2006).
[10] H. Kim and D. A. Huse, Ballistic Spreading of Entangle-
ment in a Diffusive Nonintegrable System, Phys. Rev. Lett.
111, 127205 (2013).
[11] A. Nahum, J. Ruhman, S. Vijay, and J. Haah, Quantum
Entanglement Growth under Random Unitary Dynamics,
Phys. Rev. X 7, 031016 (2017).
[12] A. Chan, R. M. Nandkishore, M. Pretko, and G. Smith,
Unitary-Projective Entanglement Dynamics, Phys. Rev. B
99, 224307 (2019).
[13] B. Skinner, J. Ruhman, and A. Nahum, Measurement-
Induced Phase Transitions in the Dynamics of Entangle-
ment, Phys. Rev. X 9, 031009 (2019).
[14] Y. Li, X. Chen, and M. P. A. Fisher, Quantum Zeno Effect
and the Many-Body Entanglement Transition, Phys. Rev.
B 98, 205136 (2018); Measurement-Driven Entanglement
Transition in Hybrid Quantum Circuits, Phys. Rev. B 100,
134306 (2019).
[15] S. Choi, Y. Bao, X.-L. Qi, and E. Altman, Quantum Error
Correction in Scrambling Dynamics and Measurement-
Induced Phase Transition, Phys. Rev. Lett. 125, 030505
(2020); Y. Bao, S. Choi, and E. Altman, Theory of the
Phase Transition in Random Unitary Circuits with Mea-
surements, Phys. Rev. B 101, 104301 (2020).
[16] M. J. Gullans and D. A. Huse, Dynamical Purification
Phase Transition Induced by Quantum Measurements,
Phys. Rev. X 10, 041020 (2020).
[17] X. Cao, A. Tilloy, and A. D. Luca, Entanglement in a
Fermion Chain under Continuous Monitoring, SciPost
Phys. 7, 24 (2019).
[18] C.-M. Jian, Y.-Z. You, R. Vasseur, and A. W. W. Ludwig,
Measurement-Induced Criticality in Random Quantum
Circuits, Phys. Rev. B 101, 104302 (2020).
[19] A. Lavasani, Y. Alavirad, and M. Barkeshli, Measurement-
in
Induced Topological Entanglement Transitions
021007-21
KAWABATA, NUMASAWA, and RYU
PHYS. REV. X 13, 021007 (2023)
Symmetric Random Quantum Circuits, Nat. Phys. 17, 342
(2021).
[20] S. Sang and T. H. Hsieh, Measurement-Protected Quan-
tum Phases, Phys. Rev. Res. 3, 023200 (2021).
[21] M. Ippoliti, M. J. Gullans, S. Gopalakrishnan, D. A. Huse,
and V. Khemani, Entanglement Phase Transitions in
Measurement-Only Dynamics, Phys. Rev. X 11, 011030
(2021).
[22] Y. Fuji and Y. Ashida, Measurement-Induced Quantum
Criticality under Continuous Monitoring, Phys. Rev. B
102, 054302 (2020).
[23] O. Alberton, M. Buchhold, and S. Diehl, Entanglement
Transition in a Monitored Free-Fermion Chain: From
Extended Criticality to Area Law, Phys. Rev. Lett. 126,
170602 (2021).
[24] M. Ippoliti and V. Khemani, Postselection-Free Entangle-
ment Dynamics via Spacetime Duality, Phys. Rev. Lett.
126, 060501 (2021); M. Ippoliti, T. Rakovszky, and V.
Khemani, Fractal, Logarithmic, and Volume-Law En-
tangled Nonthermal Steady States via Spacetime Duality,
Phys. Rev. X 12, 011045 (2022).
[25] T.-C. Lu and T. Grover, Spacetime Duality between
Localization Transitions and Measurement-Induced Tran-
sitions, PRX Quantum 2, 040319 (2021).
[26] J. Eisert, M. Cramer, and M. B. Plenio, Colloquium: Area
Laws for the Entanglement Entropy, Rev. Mod. Phys. 82,
277 (2010).
[27] V. V. Konotop, J. Yang, and D. A. Zezyulin, Nonlinear
Waves in PT -Symmetric Systems, Rev. Mod. Phys. 88,
035002 (2016).
[28] R. El-Ganainy, K. G. Makris, M. Khajavikhan, Z. H.
Musslimani, S. Rotter, and D. N. Christodoulides, Non-
Hermitian Physics and PT Symmetry, Nat. Phys. 14, 11
(2018).
[29] K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and
Z. H. Musslimani, Beam Dynamics in PT Symmetric
Optical Lattices, Phys. Rev. Lett. 100, 103904 (2008).
[30] C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N.
Christodoulides, M. Segev, and D. Kip, Observation of
Parity-Time Symmetry in Optics, Nat. Phys. 6, 192 (2010).
[31] A. Regensburger, C. Bersch, M.-A. Miri, G. Onishchukov,
D. N. Christodoulides, and U. Peschel, Parity-Time Syn-
thetic Photonic Lattices, Nature (London) 488, 167 (2012).
[32] A. Mostafazadeh, Spectral Singularities of Complex Scat-
tering Potentials and Infinite Reflection and Transmission
Coefficients at Real Energies, Phys. Rev. Lett. 102,
220402 (2009).
[33] Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and
D. N. Christodoulides, Unidirectional Invisibility Induced
by PT -Symmetric Periodic Structures, Phys. Rev. Lett.
106, 213901 (2011).
[34] L. Feng, Y.-L. Xu, W. S. Fegadolli, M.-H. Lu, J. E. B.
Oliveira, V. R. Almeida, Y.-F. Chen, and A. Scherer,
Experimental Demonstration of a Unidirectional Reflec-
tionless Parity-Time Metamaterial at Optical Frequencies,
Nat. Mater. 12, 108 (2013).
[35] B. Peng, S. K. Özdemir, F. Lei, F. Monifi, M. Gianfreda,
G. L. Long, S. Fan, F. Nori, C. M. Bender, and L. Yang,
Parity-Time-Symmetric Whispering-Gallery Microcavities,
Nat. Phys. 10, 394 (2014).
[36] S. Longhi, PT -Symmetric Laser Absorber, Phys. Rev. A
82, 031801(R) (2010).
[37] Y. D. Chong, L. Ge, and A. D. Stone, PT -Symmetry
Breaking and Laser-Absorber Modes in Optical Scattering
Systems, Phys. Rev. Lett. 106, 093902 (2011).
[38] B. Peng, S. K. Özdemir, S. Rotter, H. Yilmaz, M. Liertzer,
F. Monifi, C. M. Bender, F. Nori, and L. Yang, Loss-
Induced Suppression and Revival of Lasing, Science 346,
328 (2014).
[39] L. Feng, Z. J. Wong, R.-M. Ma, Y. Wang, and X. Zhang,
Single-Mode Laser by Parity-Time Symmetry Breaking,
Science 346, 972 (2014).
[40] H. Hodaei, M.-A. Miri, M. Heinrich, D. N.
and M. Khajavikhan, Parity-Time-
Christodoulides,
Symmetric Microring Lasers, Science 346, 975 (2014).
[41] J. Wiersig, Enhancing the Sensitivity of Frequency and
Energy Splitting Detection by Using Exceptional Points:
Application to Microcavity Sensors for Single-Particle
Detection, Phys. Rev. Lett. 112, 203901 (2014).
[42] H. Hodaei, A. U. Hassan, S. Wittek, H. Garcia-Gracia, R.
El-Ganainy, D. N. Christodoulides, and M. Khajavikhan,
Enhanced Sensitivity at Higher-Order Exceptional Points,
Nature (London) 548, 187 (2017).
[43] W. Chen, S. K. Özdemir, G. Zhao, J. Wiersig, and L. Yang,
Exceptional Points Enhance Sensing in an Optical Micro-
cavity, Nature (London) 548, 192 (2017).
[44] J. Dalibard, Y. Castin, and K. Mølmer, Wave-Function
Approach to Dissipative Processes in Quantum Optics,
Phys. Rev. Lett. 68, 580 (1992); K. Mølmer, Y. Castin, and
J. Dalibard, Monte Carlo Wave-Function Method in
Quantum Optics, J. Opt. Soc. Am. B 10, 524 (1993).
[45] R. Dum, P. Zoller, and H. Ritsch, Monte Carlo Simulation
of the Atomic Master Equation for Spontaneous Emission,
Phys. Rev. A 45, 4879 (1992).
[46] H. Carmichael, An Open Systems Approach to Quantum
Optics (Springer, Berlin, 1993).
[47] M. B. Plenio and P. L. Knight, The Quantum-Jump
Approach to Dissipative Dynamics in Quantum Optics,
Rev. Mod. Phys. 70, 101 (1998).
[48] A. J. Daley, Quantum Trajectories and Open Many-Body
Quantum Systems, Adv. Phys. 63, 77 (2014).
[49] G. Gamow, Zur Quantentheorie des Atomkernes, Z. Phys.
51, 204 (1928).
[50] H. Feshbach, C. E. Porter, and V. F. Weisskopf, Model
for Nuclear Reactions with Neutrons, Phys. Rev. 96, 448
(1954); H. Feshbach, Unified Theory of Nuclear Reac-
tions, Ann. Phys. (N.Y.) 5, 357 (1958); A Unified Theory of
Nuclear Reactions. II, Ann. Phys. (N.Y.) 19, 287 (1962).
[51] I. Rotter, A Non-Hermitian Hamilton Operator and the
Physics of Open Quantum Systems, J. Phys. A 42, 153001
(2009).
[52] N. Moiseyev, Non-Hermitian Quantum Mechanics
(Cambridge University Press, Cambridge, England, 2011).
[53] P. Peng, W. Cao, C. Shen, W. Qu, J. Wen, L. Jiang, and
Y. Xiao, Anti-Parity-Time Symmetry with Flying Atoms,
Nat. Phys. 12, 1139 (2016).
[54] J. Li, A. K. Harter, J. Liu, L. de Melo, Y. N. Joglekar, and
L. Luo, Observation of Parity-Time Symmetry Breaking
Transitions in a Dissipative Floquet System of Ultracold
Atoms, Nat. Commun. 10, 855 (2019).
021007-22
ENTANGLEMENT PHASE TRANSITION INDUCED …
PHYS. REV. X 13, 021007 (2023)
[55] Z. Ren, D. Liu, E. Zhao, C. He, K. K. Pak, J. Li, and G.-B.
Jo, Chiral Control of Quantum States in Non-Hermitian
Spin-Orbit-Coupled Fermions, Nat. Phys. 18, 385
(2022).
[56] L. Xiao, X. Zhan, Z. H. Bian, K. K. Wang, X. Zhang, X. P.
Wang, J. Li, K. Mochizuki, D. Kim, N. Kawakami, W. Yi,
H. Obuse, B. C. Sanders, and P. Xue, Observation of
Topological Edge States in Parity-Time-Symmetric Quan-
tum Walks, Nat. Phys. 13, 1117 (2017).
[57] K. Kawabata, Y. Ashida, and M. Ueda, Information
Retrieval and Criticality in Parity-Time-Symmetric Sys-
tems, Phys. Rev. Lett. 119, 190401 (2017); L. Xiao, K.
Wang, X. Zhan, Z. Bian, K. Kawabata, M. Ueda, W. Yi,
and P. Xue, Observation of Critical Phenomena in Parity-
Time-Symmetric Quantum Dynamics, Phys. Rev. Lett. 123,
230401 (2019).
[58] B. Dóra, M. Heyl, and R. Moessner, The Kibble-Zurek
Mechanism at Exceptional Points, Nat. Commun. 10, 2254
(2019); L. Xiao, D. Qu, K. Wang, H.-W. Li, J.-Y. Dai, B.
Dóra, M. Heyl, R. Moessner, W. Yi, and P. Xue, Non-
Hermitian Kibble-Zurek Mechanism with Tunable Com-
plexity in Single-Photon Interferometry, PRX Quantum 2,
020313 (2021).
[59] F. E. Öztürk, T. Lappe, G. Hellmann, J. Schmitt, J. Klaers,
F. Vewinger, J. Kroha, and M. Weitz, Observation of a
Non-Hermitian Phase Transition in an Optical Quantum
Gas, Science 372, 88 (2021).
[60] T. Gao, E. Estrecho, K. Y. Bliokh, T. C. H. Liew, M. D.
Fraser, S. Brodbeck, M. Kamp, C. Schneider, S. Höfling,
Y. Yamamoto, F. Nori, Y. S. Kivshar, A. G. Truscott,
R. G. Dall, and E. A. Ostrovskaya, Observation of Non-
Hermitian Degeneracies in a Chaotic Exciton-Polariton
Billiard, Nature (London) 526, 554 (2015).
[61] Y. Wu, W. Liu, J. Geng, X. Song, X. Ye, C.-K. Duan, X.
Rong, and J. Du, Observation of Parity-Time Symmetry
Breaking in a Single-Spin System, Science 364, 878
(2019).
[62] W. Zhang, X. Ouyang, X. Huang, X. Wang, H. Zhang, Y.
Yu, X. Chang, Y. Liu, D.-L. Deng, and L.-M. Duan,
Observation of Non-Hermitian Topology with Nonunitary
Dynamics of Solid-State Spins, Phys. Rev. Lett. 127,
090501 (2021).
[63] M. Naghiloo, N. Abbasi, Y. N. Joglekar, and K. W. Murch,
the Exceptional
Quantum State Tomography across
Point in a Single Dissipative Qubit, Nat. Phys. 15, 1232
(2019).
[64] C. M. Bender, D. C. Brody, H. F. Jones, and B. K. Meister,
Faster than Hermitian Quantum Mechanics, Phys. Rev.
Lett. 98, 040403 (2007).
[65] D. C. Brody and E.-M. Graefe, Mixed-State Evolution in
the Presence of Gain and Loss, Phys. Rev. Lett. 109,
230405 (2012).
[66] Y. Ashida and M. Ueda, Full-Counting Many-Particle
Dynamics: Nonlocal and Chiral Propagation of Correla-
tions, Phys. Rev. Lett. 120, 185301 (2018).
[67] B. Dóra and C. P. Moca, Quantum Quench in PT -
Symmetric Luttinger Liquid, Phys. Rev. Lett. 124,
136802 (2020); A. Bácsi and B. Dóra, Dynamics of
Entanglement after Exceptional Quantum Quench, Phys.
Rev. B 103, 085137 (2021).
[68] X. Chen, Y. Li, M. P. A. Fisher, and A. Lucas, Emergent
Conformal Symmetry in Nonunitary Random Dynamics of
Free Fermions, Phys. Rev. Res. 2, 033017 (2020).
[69] A. Biella and M. Schiró, Many-Body Quantum Zeno
Effect and Measurement-Induced Subradiance Transition,
Quantum 5, 528 (2021); X. Turkeshi and M. Schiró,
Entanglement and Correlation Spreading in Non-
Hermitian Spin Chains, Phys. Rev. B 107, L020403
(2023).
[70] S. Gopalakrishnan and M. J. Gullans, Entanglement and
Purification Transitions in Non-Hermitian Quantum Me-
chanics, Phys. Rev. Lett. 126, 170503 (2021).
[71] S.-K. Jian, Z.-C. Yang, Z. Bi, and X. Chen, Yang-Lee Edge
Singularity Triggered Entanglement Transition, Phys.
Rev. B 104, L161107 (2021).
[72] T. Orito and K.-I. Imura, Unusual Wave-Packet Spreading
and Entanglement Dynamics in Non-Hermitian Disor-
dered Many-Body Systems, Phys. Rev. B 105, 024303
(2022).
[73] T. Kato, Perturbation Theory for Linear Operators
(Springer, Berlin, 1966).
[74] M. V. Berry, Physics of Nonhermitian Degeneracies,
Czech. J. Phys. 54, 1039 (2004).
[75] W. D. Heiss, The Physics of Exceptional Points, J. Phys. A
45, 444016 (2012).
[76] C. N. Yang and T. D. Lee, Statistical Theory of Equations
of State and Phase Transitions. I. Theory of Condensation,
Phys. Rev. 87, 404 (1952); T. D. Lee and C. N. Yang,
Statistical Theory of Equations of State and Phase Tran-
sitions. II. Lattice Gas and Ising Model, Phys. Rev. 87, 410
(1952).
[77] M. E. Fisher, Yang-Lee Edge Singularity and ϕ3 Field
Theory, Phys. Rev. Lett. 40, 1610 (1978).
[78] J. L. Cardy, Conformal Invariance and the Yang-Lee Edge
Singularity in Two Dimensions, Phys. Rev. Lett. 54, 1354
(1985).
[79] C. Itzykson and J.-M. Drouffe, Statistical Field Theory,
Vol. I (Cambridge University Press, Cambridge, England,
1989).
[80] C. M. Bender and S. Boettcher, Real Spectra in Non-
Hermitian Hamiltonians Having PT Symmetry, Phys.
Rev. Lett. 80, 5243 (1998).
[81] C. M. Bender, Making Sense of Non-Hermitian Hamilto-
nians, Rep. Prog. Phys. 70, 947 (2007).
[82] T. Fukui and N. Kawakami, Breakdown of
the Mott
Insulator: Exact Solution of an Asymmetric Hubbard
Model, Phys. Rev. B 58, 16051 (1998).
[83] Y. Nakamura and N. Hatano, A Non-Hermitian Critical
Point and the Correlation Length of Strongly Corre-
lated Quantum Systems, J. Phys. Soc. Jpn. 75, 104001
(2006).
[84] T. Oka and H. Aoki, Dielectric Breakdown in a Mott
Insulator: Many-Body Schwinger-Landau-Zener Mecha-
nism Studied with a Generalized Bethe Ansatz, Phys. Rev.
B 81, 033103 (2010).
[85] T. E. Lee and C.-K. Chan, Heralded Magnetism in Non-
Hermitian Atomic Systems, Phys. Rev. X 4, 041001
(2014); T. E. Lee, F. Reiter, and N. Moiseyev, Entangle-
ment and Spin Squeezing in Non-Hermitian Phase Tran-
sitions, Phys. Rev. Lett. 113, 250401 (2014).
021007-23
KAWABATA, NUMASAWA, and RYU
PHYS. REV. X 13, 021007 (2023)
[86] Y. Ashida, S. Furukawa, and M. Ueda, Parity-Time-
Symmetric Quantum Critical Phenomena, Nat. Commun.
8, 15791 (2017).
[87] R. Couvreur, J. L. Jacobsen, and H. Saleur, Entanglement
in Nonunitary Quantum Critical Spin Chains, Phys. Rev.
Lett. 119, 040601 (2017).
[88] M. Nakagawa, N. Kawakami, and M. Ueda, Non-Hermi-
in Ultracold Alkaline-Earth Atoms,
tian Kondo Effect
Phys. Rev. Lett. 121, 203001 (2018).
[89] L. Herviou, J. H. Bardarson, and N. Regnault, Defining a
Bulk-Edge Correspondence for Non-Hermitian Hamilto-
nians via Singular-Value Decomposition, Phys. Rev. A 99,
052118 (2019); L. Herviou, N. Regnault, and J. H.
Bardarson, Entanglement Spectrum and Symmetries in
Non-Hermitian Fermionic Non-Interacting Models, Sci-
Post Phys. 7, 069 (2019).
[90] K. Yamamoto, M. Nakagawa, K. Adachi, K. Takasan, M.
Ueda, and N. Kawakami, Theory of Non-Hermitian Fer-
mionic Superfluidity with a Complex-Valued Interaction,
Phys. Rev. Lett. 123, 123601 (2019).
[91] P.-Y. Chang, J.-S. You, X. Wen, and S. Ryu, Entanglement
Spectrum and Entropy in Topological Non-Hermitian
Systems and Nonunitary Conformal Field Theory, Phys.
Rev. Res. 2, 033069 (2020); Y.-T. Tu, Y.-C. Tzeng, and
P.-Y. Chang, R´enyi Entropies and Negative Central
Charges in Non-Hermitian Quantum Systems, SciPost
Phys. 12, 194 (2022).
[92] C. H. Lee, Exceptional Bound States and Negative
Entanglement Entropy, Phys. Rev. Lett. 128, 010402
(2022).
[93] T. E. Lee, Anomalous Edge State in a Non-Hermitian
Lattice, Phys. Rev. Lett. 116, 133903 (2016).
[94] S. Yao and Z. Wang, Edge States and Topological
Invariants of Non-Hermitian Systems, Phys. Rev. Lett.
121, 086803 (2018); S. Yao, F. Song, and Z. Wang, Non-
Hermitian Chern Bands, Phys. Rev. Lett. 121, 136802
(2018).
[95] F. K. Kunst, E. Edvardsson, J. C. Budich, and E. J.
Bergholtz, Biorthogonal Bulk-Boundary Correspondence
in Non-Hermitian Systems, Phys. Rev. Lett. 121, 026808
(2018).
[96] M. S. Rudner and L. S. Levitov, Topological Transition in
a Non-Hermitian Quantum Walk, Phys. Rev. Lett. 102,
065703 (2009).
[97] M. Sato, K. Hasebe, K. Esaki, and M. Kohmoto, Time-
Reversal Symmetry in Non-Hermitian Systems, Prog.
Theor. Phys. 127, 937 (2012); K. Esaki, M. Sato, K.
Hasebe, and M. Kohmoto, Edge States and Topological
Phases in Non-Hermitian Systems, Phys. Rev. B 84,
205128 (2011).
[98] Y. C. Hu and T. L. Hughes, Absence of Topological
Insulator Phases in Non-Hermitian PT-Symmetric Ham-
iltonians, Phys. Rev. B 84, 153101 (2011).
[99] H. Schomerus, Topologically Protected Midgap States in
Complex Photonic Lattices, Opt. Lett. 38, 1912 (2013).
[100] S. Longhi, D. Gatti, and G. D. Valle, Robust Light Trans-
port in Non-Hermitian Photonic Lattices, Sci. Rep. 5,
13376 (2015).
[101] D. Leykam, K. Y. Bliokh, C. Huang, Y. D. Chong, and
F. Nori, Edge Modes, Degeneracies, and Topological
Numbers in Non-Hermitian Systems, Phys. Rev. Lett.
118, 040401 (2017).
[102] Y. Xu, S.-T. Wang, and L.-M. Duan, Weyl Exceptional
Rings in a Three-Dimensional Dissipative Cold Atomic
Gas, Phys. Rev. Lett. 118, 045701 (2017).
[103] H. Shen, B. Zhen, and L. Fu, Topological Band Theory for
Non-Hermitian Hamiltonians, Phys. Rev. Lett. 120, 146402
(2018); V. Kozii and L. Fu, Non-Hermitian Topological
Theory of Finite-Lifetime Quasiparticles: Prediction of Bulk
Fermi Arc due to Exceptional Point, arXiv:1708.05841.
[104] Z. Gong, Y. Ashida, K. Kawabata, K. Takasan, S.
Higashikawa, and M. Ueda, Topological Phases of Non-
Hermitian Systems, Phys. Rev. X 8, 031079 (2018); K.
Kawabata, S. Higashikawa, Z. Gong, Y. Ashida, and M.
Ueda, Topological Unification of Time-Reversal and
Particle-Hole Symmetries
in Non-Hermitian Physics,
Nat. Commun. 10, 297 (2019).
[105] K. Kawabata, K. Shiozaki, M. Ueda, and M. Sato,
Symmetry and Topology in Non-Hermitian Physics, Phys.
Rev. X 9, 041015 (2019).
[106] H. Zhou and J. Y. Lee, Periodic Table for Topological
Bands with Non-Hermitian Symmetries, Phys. Rev. B 99,
235112 (2019).
[107] H.-G. Zirnstein, G. Refael, and B. Rosenow, Bulk-
Boundary Correspondence for Non-Hermitian Hamilto-
nians via Green Functions, Phys. Rev. Lett. 126, 216407
(2021).
[108] D. S. Borgnia, A. J. Kruchkov, and R.-J. Slager, Non-
Hermitian Boundary Modes and Topology, Phys. Rev.
Lett. 124, 056802 (2020).
[109] K. Kawabata, T. Bessho, and M. Sato, Classification of
Exceptional Points and Non-Hermitian Topological Semi-
metals, Phys. Rev. Lett. 123, 066405 (2019).
[110] J. Y. Lee, J. Ahn, H. Zhou, and A. Vishwanath, Topologi-
cal Correspondence between Hermitian and Non-
Hermitian Systems: Anomalous Dynamics, Phys. Rev.
Lett. 123, 206404 (2019).
[111] K. Kawabata, K. Shiozaki, and S. Ryu, Topological Field
Theory of Non-Hermitian Systems, Phys. Rev. Lett. 126,
216405 (2021).
[112] E. J. Bergholtz, J. C. Budich, and F. K. Kunst, Exceptional
Topology of Non-Hermitian Systems, Rev. Mod. Phys. 93,
015005 (2021).
[113] Y. Xiong, Why Does Bulk Boundary Correspondence Fail
in Some Non-Hermitian Topological Models?, J. Phys.
Commun. 2, 035043 (2018).
[114] V. M. Martinez Alvarez, J. E. Barrios Vargas, and L. E. F.
Foa Torres, Non-Hermitian Robust Edge States in One
Dimension: Anomalous Localization and Eigenspace
Condensation at Exceptional Points, Phys. Rev. B 97,
121401(R) (2018).
[115] A. McDonald, T. Pereg-Barnea, and A. A. Clerk, Phase-
Dependent Chiral Transport and Effective Non-Hermitian
Dynamics in a Bosonic Kitaev-Majorana Chain, Phys.
Rev. X 8, 041031 (2018).
[116] C. H. Lee and R. Thomale, Anatomy of Skin Modes and
Topology in Non-Hermitian Systems, Phys. Rev. B 99,
201103(R) (2019).
[117] T. Liu, Y.-R. Zhang, Q. Ai, Z. Gong, K. Kawabata, M.
Ueda, and F. Nori, Second-Order Topological Phases in
021007-24
ENTANGLEMENT PHASE TRANSITION INDUCED …
PHYS. REV. X 13, 021007 (2023)
Non-Hermitian Systems, Phys. Rev. Lett. 122, 076801
(2019).
[118] C. H. Lee, L. Li, and J. Gong, Hybrid Higher-Order Skin-
Topological Modes in Nonreciprocal Systems, Phys. Rev.
Lett. 123, 016805 (2019).
[119] K. Yokomizo and S. Murakami, Non-Bloch Band Theory
of Non-Hermitian Systems, Phys. Rev. Lett. 123, 066404
(2019).
[120] N. Okuma and M. Sato, Quantum Anomaly, Non-
Hermitian Skin Effects, and Entanglement Entropy in
Open Systems, Phys. Rev. B 103, 085428 (2021).
[121] K. Zhang, Z. Yang, and C. Fang, Correspondence between
Winding Numbers and Skin Modes in Non-Hermitian
Systems, Phys. Rev. Lett. 125, 126402 (2020).
[122] N. Okuma, K. Kawabata, K. Shiozaki, and M. Sato,
Topological Origin of Non-Hermitian Skin Effects, Phys.
Rev. Lett. 124, 086801 (2020); K. Kawabata, N. Okuma,
and M. Sato, Non-Bloch Band Theory of Non-Hermitian
Hamiltonians in the Symplectic Class, Phys. Rev. B 101,
195147 (2020).
[123] M. Brandenbourger, X. Locsin, E. Lerner, and C. Coulais,
Non-Reciprocal Robotic Metamaterials, Nat. Commun.
10, 4608 (2019); A. Ghatak, M. Brandenbourger, J. van
Wezel, and C. Coulais, Observation of Non-Hermitian
Topology and Its Bulk-Edge Correspondence in an Active
Mechanical Metamaterial, Proc. Natl. Acad. Sci. U.S.A.
117, 29561 (2020).
[124] T. Helbig, T. Hofmann, S. Imhof, M. Abdelghany, T.
Kiessling, L. W. Molenkamp, C. H. Lee, A. Szameit,
and R. Thomale, Generalized Bulk-
M. Greiter,
Boundary Correspondence in Non-Hermitian Topolec-
trical Circuits, Nat. Phys. 16, 747 (2020); T. Hofmann,
T. Helbig, F. Schindler, N. Salgo, M. Brzezińska, M.
Greiter, T. Kiessling, D. Wolf, A. Vollhardt, A. Kabaši,
C. H. Lee, A. Bilušić, R. Thomale, and T. Neupert,
Reciprocal Skin Effect and Its Realization in a
Topolectrical Circuit, Phys. Rev. Res. 2, 023265
(2020).
[125] X. Zhang, Y. Tian, J.-H. Jiang, M.-H. Lu, and Y.-F. Chen,
Observation of Higher-Order Non-Hermitian Skin Effect,
Nat. Commun. 12, 5377 (2021).
[126] S. Weidemann, M. Kremer, T. Helbig, T. Hofmann, A.
Stegmaier, M. Greiter, R. Thomale, and A. Szameit,
Topological Funneling of Light, Science 368, 311
(2020).
[127] L. S. Palacios, S. Tchoumakov, M. Guix, I. P. S. Sánchez,
and A. G. Grushin, Guided Accumulation of Active Par-
ticles by Topological Design of a Second-Order Skin
Effect, Nat. Commun. 12, 4691 (2021).
[128] L. Xiao, T. Deng, K. Wang, G. Zhu, Z. Wang, W. Yi, and P.
Xue, Non-Hermitian Bulk-Boundary Correspondence in
Quantum Dynamics, Nat. Phys. 16, 761 (2020).
[129] W. Gou, T. Chen, D. Xie, T. Xiao, T.-S. Deng, B. Gadway,
W. Yi, and B. Yan, Tunable Nonreciprocal Quantum
Transport through a Dissipative Aharonov-Bohm Ring
in Ultracold Atoms, Phys. Rev. Lett. 124, 070402 (2020);
Q. Liang, D. Xie, Z. Dong, H. Li, H. Li, B. Gadway, W. Yi,
and B. Yan, Dynamic Signatures of Non-Hermitian Skin
Effect and Topology in Ultracold Atoms, Phys. Rev. Lett.
129, 070401 (2022).
[130] F. Song, S. Yao, and Z. Wang, Non-Hermitian Skin Effect
and Chiral Damping in Open Quantum Systems, Phys.
Rev. Lett. 123, 170401 (2019).
[131] T. Haga, M. Nakagawa, R. Hamazaki, and M. Ueda,
Liouvillian Skin Effect: Slowing Down of Relaxation
Processes without Gap Closing, Phys. Rev. Lett. 127,
070402 (2021).
[132] C.-H. Liu, K. Zhang, Z. Yang, and S. Chen, Helical
Damping and Dynamical Critical Skin Effect in Open
Quantum Systems, Phys. Rev. Res. 2, 043167 (2020).
[133] T. Mori and T. Shirai, Resolving a Discrepancy between
Liouvillian Gap and Relaxation Time in Boundary-
Dissipated Quantum Many-Body Systems, Phys. Rev. Lett.
125, 230604 (2020).
[134] F. Yang, Q.-D. Jiang, and E. J. Bergholtz, Liouvillian Skin
Effect in an Exactly Solvable Model, Phys. Rev. Res. 4,
023160 (2022).
[135] N. Hatano and D. R. Nelson, Localization Transitions in
Non-Hermitian Quantum Mechanics, Phys. Rev. Lett. 77,
570 (1996); Vortex Pinning and Non-Hermitian Quantum
Mechanics, Phys. Rev. B 56, 8651 (1997).
[136] P. A. Lee and T. V. Ramakrishnan, Disordered Electronic
Systems, Rev. Mod. Phys. 57, 287 (1985).
[137] F. Evers and A. D. Mirlin, Anderson Transitions, Rev.
Mod. Phys. 80, 1355 (2008).
[138] K. Kawabata and S. Ryu, Nonunitary Scaling Theory of
Non-Hermitian Localization, Phys. Rev. Lett. 126, 166801
(2021).
[139] L. N. Trefethen and M. Embree, Spectra and Pseudospec-
tra (Princeton University Press, Princeton, NJ, 2005).
[140] H. Watanabe, A Proof of the Bloch Theorem for Lattice
Models, J. Stat. Phys. 177, 717 (2019).
[141] M. Fagotti and P. Calabrese, Evolution of Entanglement
Entropy Following a Quantum Quench: Analytic Results
for the XY Chain in a Transverse Magnetic Field, Phys.
Rev. A 78, 010306(R) (2008).
[142] P. Calabrese and J. Cardy, Entanglement Entropy and
Quantum Field Theory, J. Stat. Phys. (2004) P06002.
[143] B. Kramer, A. MacKinnon, T. Ohtsuki, and K. Slevin,
Finite Size Scaling Analysis of the Anderson Transition,
Int. J. Mod. Phys. B 24, 1841 (2010).
[144] N. Goldenfeld, Lectures on Phase Transitions and the
Renormalization Group (Westview Press, Boulder, CO,
1992).
[145] J. Cardy, Scaling and Renormalization in Statistical Physics
(Cambridge University Press, Cambridge, England, 1996).
[146] S. Sachdev, Quantum Phase Transitions (Cambridge
University Press, Cambridge, England, 1999).
[147] L. Li, C. H. Lee, S. Mu, and J. Gong, Critical Non-
Hermitian Skin Effect, Nat. Commun. 11, 5491 (2020).
[148] K. Yokomizo and S. Murakami, Scaling Rule for the
Critical Non-Hermitian Skin Effect, Phys. Rev. B 104,
165117 (2021).
[149] H.-P. Breuer and F. Petruccione, The Theory of Open
Quantum Systems (Oxford University Press, Oxford, 2007).
[150] A. Rivas and S. F. Huelga, Open Quantum Systems
(Springer, Berlin, 2012).
[151] G. Kells, D. Meidan, and A. Romito, Topological Tran-
sitions in Weakly Monitored Free Fermions, SciPost Phys.
14, 031 (2023).
021007-25
KAWABATA, NUMASAWA, and RYU
PHYS. REV. X 13, 021007 (2023)
[152] C. Fleckenstein, A. Zorzato, D. Varjas, E. J. Bergholtz,
J. H. Bardarson, and A. Tiwari, Non-Hermitian Topology
in Monitored Quantum Circuits, Phys. Rev. Res. 4,
L032026 (2022).
[153] B. Derrida, An Exactly Soluble Non-Equilibrium System:
The Asymmetric Simple Exclusion Process, Phys. Rep.
301, 65 (1998).
[154] K. B. Efetov, Directed Quantum Chaos, Phys. Rev. Lett.
79, 491 (1997).
[155] J. Feinberg and A. Zee, Non-Hermitian Random Matrix
Theory: Method of Hermitian Reduction, Nucl. Phys.
B504, 579 (1997).
[156] P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker,
Theory of Directed Localization in One Dimension, Phys.
Rev. B 56, R4333 (1997).
[157] R. Hamazaki, K. Kawabata, and M. Ueda, Non-Hermitian
Many-Body Localization, Phys. Rev. Lett. 123, 090603
(2019).
[158] S. Longhi, Topological Phase Transition in Non-
Hermitian Quasicrystals, Phys. Rev. Lett. 122, 237601
(2019).
[159] A. F. Tzortzakakis, K. G. Makris, and E. N. Economou,
Non-Hermitian Disorder in Two-Dimensional Optical
Lattices, Phys. Rev. B 101, 014202 (2020).
[160] Y. Huang and B. I. Shklovskii, Anderson Transition in
Three-Dimensional Systems with Non-Hermitian Dis-
order, Phys. Rev. B 101, 014204 (2020).
[161] X. Luo, T. Ohtsuki, and R. Shindou, Universality Classes
of the Anderson Transitions Driven by Non-Hermitian
Disorder, Phys. Rev. Lett. 126, 090402 (2021); Transfer
Matrix Study of the Anderson Transition in Non-Hermitian
Systems, Phys. Rev. B 104, 104203 (2021); X. Luo, Z.
Xiao, K. Kawabata, T. Ohtsuki, and R. Shindou, Unifying
the Anderson Transitions in Hermitian and Non-Hermitian
Systems, Phys. Rev. Res. 4, L022035 (2022).
[162] F. Terrier and F. K. Kunst, Dissipative Analog of Four-
Dimensional Quantum Hall Physics, Phys. Rev. Res. 2,
023364 (2020).
[163] T. Bessho and M. Sato, Nielsen-Ninomiya Theorem with
Bulk Topology: Duality in Floquet and Non-Hermitian
Systems, Phys. Rev. Lett. 127, 196404 (2021).
[164] M. M. Denner, A. Skurativska, F. Schindler, M. H. Fischer,
R. Thomale, T. Bzdušek, and T. Neupert, Exceptional
Topological Insulators, Nat. Commun. 12, 5681 (2021).
[165] R. Okugawa, R. Takahashi, and K. Yokomizo, Second-
Order Topological Non-Hermitian Skin Effects, Phys. Rev.
B 102, 241202(R) (2020).
[166] K. Kawabata, M. Sato, and K. Shiozaki, Higher-Order Non-
Hermitian Skin Effect, Phys. Rev. B 102, 205118 (2020).
[167] X.-Q. Sun, P. Zhu, and T. L. Hughes, Geometric Response
and Disclination-Induced Skin Effects in Non-Hermitian
Systems, Phys. Rev. Lett. 127, 066401 (2021).
[168] F. Schindler and A. Prem, Dislocation Non-Hermitian Skin
Effect, Phys. Rev. B 104, L161106 (2021).
[169] B. A. Bhargava, I. C. Fulga, J. van den Brink, and A. G.
Moghaddam, Non-Hermitian Skin Effect of Dislocations
and Its Topological Origin, Phys. Rev. B 104, L241402
(2021).
[170] C.-X. Guo, X.-R. Wang, C. Wang, and S.-P. Kou, Non-
Hermitian Dynamic Strings and Anomalous Topological
Degeneracy on a Non-Hermitian Toric-Code Model with
Parity-Time Symmetry, Phys. Rev. B 101, 144439 (2020).
[171] T. Yoshida, K. Kudo, and Y. Hatsugai, Non-Hermitian
Fractional Quantum Hall States, Sci. Rep. 9, 16895 (2019).
[172] S. Mu, C. H. Lee, L. Li, and J. Gong, Emergent Fermi
Surface in a Many-Body Non-Hermitian Fermionic Chain,
Phys. Rev. B 102, 081115(R) (2020).
[173] W. Xi, Z.-H. Zhang, Z.-C. Gu, and W.-Q. Chen, Classi-
fication of Topological Phases in One Dimensional Inter-
acting Non-Hermitian Systems and Emergent Unitarity,
Sci. Bull. 66, 1731 (2021).
[174] E. Lee, H. Lee, and B.-J. Yang, Many-Body Approach to
Non-Hermitian Physics in Fermionic Systems, Phys. Rev.
B 101, 121109(R) (2020).
[175] N. Matsumoto, K. Kawabata, Y. Ashida, S. Furukawa, and
M. Ueda, Continuous Phase Transition without Gap
Closing in Non-Hermitian Quantum Many-Body Systems,
Phys. Rev. Lett. 125, 260601 (2020).
[176] T. Liu, J. J. He, T. Yoshida, Z.-L. Xiang, and F. Nori,
Non-Hermitian Topological Mott
Insulators in One-
Dimensional Fermionic Superlattices, Phys. Rev. B 102,
235151 (2020).
[177] K. Yang, S. C. Morampudi, and E. J. Bergholtz, Excep-
tional Spin Liquids from Couplings to the Environment,
Phys. Rev. Lett. 126, 077201 (2021).
[178] M. Žnidarič, T. Prosen, and P. Prelovšek, Many-Body
Localization in the Heisenberg XXZ Magnet in a Random
Field, Phys. Rev. B 77, 064426 (2008).
[179] J. H. Bardarson, F. Pollmann, and J. E. Moore, Unbounded
Growth of Entanglement in Models of Many-Body Locali-
zation, Phys. Rev. Lett. 109, 017202 (2012).
[180] M. Serbyn, Z. Papić, and D. A. Abanin, Universal Slow
Growth of Entanglement in Interacting Strongly Disor-
dered Systems, Phys. Rev. Lett. 110, 260601 (2013).
021007-26
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10.3390_biom13060952.pdf
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Data Availability Statement: The data supporting this study are available from the corresponding
authors upon reasonable request.
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Data Availability Statement: The data supporting this study are available from the corresponding authors upon reasonable request.
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Article
Ca2+ Influx through TRPC Channels Is Regulated by
Homocysteine–Copper Complexes
Gui-Lan Chen 1, Bo Zeng 1
and Shang-Zhong Xu 1,2,*
, Hongni Jiang 1, Nikoleta Daskoulidou 1
, Rahul Saurabh 1, Rumbidzai J. Chitando 1
1 Centre for Atherothrombosis and Metabolic Disease, Hull York Medical School, University of Hull,
Hull HU6 7RX, UK; chenguilan@swmu.edu.cn (G.-L.C.); zengbo@swmu.edu.cn (B.Z.)
2 Diabetes, Endocrinology and Metabolism, Hull York Medical School, University of Hull, Hull HU6 7RX, UK
* Correspondence: sam.xu@hyms.ac.uk; Tel.: +44-1482-465372
Abstract: An elevated level of circulating homocysteine (Hcy) has been regarded as an independent
risk factor for cardiovascular disease; however, the clinical benefit of Hcy lowering-therapy is not
satisfying. To explore potential unrevealed mechanisms, we investigated the roles of Ca2+ influx
through TRPC channels and regulation by Hcy–copper complexes. Using primary cultured human
aortic endothelial cells and HEK-293 T-REx cells with inducible TRPC gene expression, we found
that Hcy increased the Ca2+ influx in vascular endothelial cells through the activation of TRPC4 and
TRPC5. The activity of TRPC4 and TRPC5 was regulated by extracellular divalent copper (Cu2+)
and Hcy. Hcy prevented channel activation by divalent copper, but monovalent copper (Cu+) had
no effect on the TRPC channels. The glutamic acids (E542/E543) and the cysteine residue (C554) in
the extracellular pore region of the TRPC4 channel mediated the effect of Hcy–copper complexes.
The interaction of Hcy–copper significantly regulated endothelial proliferation, migration, and
angiogenesis. Our results suggest that Hcy–copper complexes function as a new pair of endogenous
regulators for TRPC channel activity. This finding gives a new understanding of the pathogenesis of
hyperhomocysteinemia and may explain the unsatisfying clinical outcome of Hcy-lowering therapy
and the potential benefit of copper-chelating therapy.
Keywords: homocysteine; calcium channel; TRPC; TRPM2; copper; endothelial cells; angiogenesis;
2-aminoethoxydiphenyl borate
1. Introduction
Cardiovascular disease (CVD) is the leading cause of death in developed nations and
is increasing rapidly in developing countries. The well-described risk factors include high
blood pressure, dyslipidemia, smoking, diabetes mellitus, obesity, and new independent
risk factors, such as C-reactive protein, lipoprotein (a), fibrinogen, and homocysteine (Hcy).
The association between elevated Hcy levels and atherosclerosis was first demonstrated in
patients with hyperhomocysteinemia in 1969 [1]; however, the importance of Hcy as a risk
factor has been especially acknowledged during the last two decades in that even a mild
or moderate increase in Hcy level (>15 µmol/L) in serum or plasma is closely associated
with the morbidity and mortality of coronary heart diseases [2–6], stroke [7,8], peripheral
vascular disease [9], venous thrombosis [10], dementia or Alzheimer’s disease [11], nerve
degeneration [12], diabetes [13], osteoporotic fractures [14], end-stage renal disease [15],
and other conditions, such as adverse pregnancy outcome (early abortion, placental vas-
culopathy, and birth defects) [16] and liver fibrosis [17]. In patients with genetic enzyme
defects including cystathionine β-synthase (CBS), methylenetetrahydrofolate reductase
(MTHFR), and methionine synthase (MS) in the Hcy metabolic pathway, the concentration
of Hcy is much higher and accompanied with more severe cardiovascular damage [8,18].
The MTHFR (T677C point mutation) variant is the most common enzyme defect associated
Citation: Chen, G.-L.; Zeng, B.; Jiang,
H.; Daskoulidou, N.; Saurabh, R.;
Chitando, R.J.; Xu, S.-Z. Ca2+ Influx
through TRPC Channels Is Regulated
by Homocysteine–Copper
Complexes. Biomolecules 2023, 13, 952.
https://doi.org/10.3390/
biom13060952
Academic Editor: Fabrice Antigny
Received: 25 April 2023
Revised: 15 May 2023
Accepted: 17 May 2023
Published: 6 June 2023
Copyright: © 2023 by the authors.
Licensee MDPI, Basel, Switzerland.
This article is an open access article
distributed under
the terms and
conditions of the Creative Commons
Attribution (CC BY) license (https://
creativecommons.org/licenses/by/
4.0/).
Biomolecules 2023, 13, 952. https://doi.org/10.3390/biom13060952
https://www.mdpi.com/journal/biomolecules
biomoleculesBiomolecules 2023, 13, 952
2 of 16
with high Hcy and its prevalence is 5~15% in Caucasian and Asian populations. The mech-
anisms of how Hcy causes diseases or becomes a risk for diseases are still unknown [19,20];
in particular, the intervention for lowering plasma Hcy levels in patients did not show
any preventive effects against cardiovascular diseases [21,22], suggesting unrecognised
mechanisms or interactions with Hcy may exist in vivo. Since Hcy is involved in the patho-
genesis of many diseases and is associated with all-cause mortality [23], it is reasonable to
hypothesise that Hcy may target some ubiquitously expressed proteins or key signalling
molecules in the body.
Calcium is a key signalling messenger in the cell and several studies have suggested
that Hcy may interfere with Ca2+ signalling pathways. For example, Ca2+ influx and
intracellular Ca2+ release were enhanced by Hcy [24], and the ligand-gated Ca2+ channel
NMDA receptor was stimulated by Hcy [25]. Interestingly, it has been shown that the
up-regulation of Ca2+ permeable channels, such as TRPC1 and TRPC5, is related to vascular
neointimal growth and cell mobility [26,27], while neointimal growth was also observed in
the blood vessels from patients with hyperhomocysteinemia [1]. TRPC channels are ubiqui-
tously expressed in the cardiovascular system and mediate the common pathway of Ca2+
entry via G-protein coupled receptor activation and/or the depletion of the endoplasmic
reticulum (ER) Ca2+ store [28,29]. Therefore, we hypothesised that TRPC channels could
be involved in the pathophysiology of hyperhomocysteinemia. On the other hand, the
correlation between Hcy and copper in cardiovascular disease has been demonstrated in
clinical surveys [30–33], and copper-lowering therapy with a chelator could be beneficial
for cardiac hypertrophy [34]. We, therefore, aimed to investigate the effects of Hcy on
TRPC channels and its regulatory mechanisms with copper ions in causing endothelial
dysfunction and subsequent atherogenicity.
2. Materials and Methods
2.1. Cell Culture and Transfection
Human TRPC4α (NM_016179), TRPC4β1 (NM_001135955, but the β1 isoform was
cloned from the endothelial cell with one glutamic acid deletion at E785), and TRPC5
(AF054568) in the tetracycline-regulatory vector pcDNA4/TO (Invitrogen, Paisley, UK)
were transfected into HEK-293 T-REx cells using the LipofectamineTM 2000 transfection
reagent (Invitrogen, Paisley, UK). TRPC4 was tagged with an enhanced yellow fluorescent
protein (EYFP) at the N-terminus. Expression was induced by 1 µg·mL−1 tetracycline
for 48–72 h before recording. The non-induced cells without the addition of tetracycline
were used as a control. Cells were grown in DMEM-F12 medium (Invitrogen, Paisley,
UK) containing 10% foetal calf serum (FCS), 100 units·mL−1 penicillin, and 100 µg·mL−1
streptomycin at 37 ◦C under 95% air and 5% CO2. Cells were seeded on coverslips prior
to experiments.
Human aortic endothelial cells (HAECs) were purchased from PromoCell (Heidel-
berg, Germany) and cultured in an endothelial cell growth medium as we described
previously [35,36]. The medium was supplemented with 2% foetal calf serum, 5.0 µg·L−1
epidermal growth factor, 0.5 µg·L−1 vascular endothelial growth factor, 10 µg·L−1 basic
fibroblast factor, 20 µg·L−1 R3 IGF-1, and 22.5 mg·L−1 heparin. Cells in passages 2 to
4 were used in the experiment to avoid age-dependent variations.
2.2. Electrophysiological Recordings and Ca2+ Measurements
A whole-cell clamp was performed at room temperature (23–26 ◦C) as described
before [37,38]. Briefly, the signal was amplified with an Axopatch B200 amplifier and
controlled with pClamp software 10. A 1 s ramp voltage protocol from −100 mV to
+100 mV was applied at a frequency of 0.2 Hz from a holding potential of 0 mV. Signals
were sampled at 3 kHz and filtered at 1 kHz. A glass microelectrode with a resistance of
3–5 MΩ was used. The 200 nM Ca2+ buffered pipette solution contained 115 CsCl, 10 EGTA,
2 MgCl2, 10 HEPES, and 5.7 CaCl2 in mM. The pH was adjusted to 7.2 with CsOH and
the osmolarity was adjusted to ~290 mOsm with mannitol. The calculated free Ca2+ was
Biomolecules 2023, 13, 952
3 of 16
200 nM using EQCAL (Biosoft, Cambridge, UK). The standard bath solution contained
(mM): 130 NaCl, 5 KCl, 8 D-glucose, 10 HEPES, 1.2 MgCl2, and 1.5 CaCl2. The pH was
adjusted to 7.4 with NaOH. For excised patch recordings, the procedures were similar to
our previous reports [39,40].
Intracellular Ca2+ was measured using a cuvette-based system as we described
previously [35,41]. Briefly, HAECs were loaded with Fluo3-AM (5 µM) in a Ca2+ free
standard bath solution (130 NaCl, 5 KCl, 8 D-glucose, 10 HEPES, and 1.2 MgCl2 in mM),
then washed and resuspended in the standard bath solution. A total volume of 2 mL of
standard bath solution with suspended cells was pipetted into a cuvette and the fluores-
cence was measured using a Perkin–Elmer LS50B fluorimeter. All electrophysiological
recordings and Ca2+ measurements were performed at room temperature (25 ◦C).
2.3. RT-PCR
Total RNA was extracted from the cultured endothelial cells using TRI Reagent (Sigma-
Aldrich, Poole, UK) and reverse transcribed with the Moloney murine leukaemia virus
(M-MLV) reverse transcriptase using random primers (Promega, Southampton, UK). The
PCR primer sequences used in this study and the detailed procedures were described in
our previous report [42]. PCR products were confirmed by 2% agarose gel electrophoresis
or direct sequencing.
2.4. Cell Proliferation, Migration, and Angiogenesis Assays
Endothelial cells were grown to confluence in 24-well plates in an endothelial cell
medium. Cell proliferation was assayed by a WST-1 kit (Roche) as we reported [42,43]. For
the cell migration assay, a linear scrape of ~0.3 mm width was made through a pipette
tip [26]. The cells were cultured in an endothelial cell medium with or without Hcy. After
24 h of culture, the cells were fixed with 4% paraformaldehyde, and cells across the edge of
the wound were counted. For the angiogenesis experiment, bovine skin collagen (Sigma,
Hertfordshire, UK) was diluted to 1.5 mg/mL with extracellular matrix (ECM) (Sigma) at
2–8 ◦C as a working solution. The pH and osmolarity were adjusted by 1 M NaOH and
10× phosphate-buffered saline, respectively. Human vascular endothelial growth factor
(Sigma, UK) was added to a final concentration of 20 ng/mL. Collagen working solution at
a volume of 120 µL was added to each well of a 48-well plate and allowed to gelatinise for
30 min at 37 ◦C. EA.hy926 cells were resuspended in the ECM solution and added to each
well at a volume of 300 µL (~3 × 104 cells/well) and incubated at 37 ◦C for 30 min under
95% air and 5% CO2. After 24 h of culture with Hcy or the vehicle, cells were fixed with 4%
paraformaldehyde, stained with 0.025% crystal violet, and photographed. The angiogenesis
score was calculated by a semi-quantitative method as reported previously [44]. The BD
MatrigelTM (BD Bioscience, Chester, UK) was also used to see the effects of Hcy and Cu2+
on endothelial cell tube formation. The angiogenesis was analysed with Wim Tube software
(Wimasis, Munich, Germany).
2.5. Reagents and Drugs
All general salts and reagents were purchased from Sigma-Aldrich (Poole, UK). L-
homocysteine, lanthanum chloride (La3+), CuSO4 (Cu2+), gadolinium chloride (Gd3+),
2-aminoethoxydiphenyl borate (2-APB), trypsin, thapsigargin (TG), D-(−)-2-amino-5-
phosphonopentanoic acid (D-AP5), verapamil, A23187,
(1,10-phenanthroline)bis
(triphenylphosphine)copper(I) nitrate dichloromethane adduct, and foetal calf serum were
purchased from Sigma-Aldrich. Matrigel was purchased from BD Biosciences (UK) and
Fluo-3 AM from Invitrogen (Paisley, UK). Fluo-3 AM (5 mM), TG (1 mM), and 2-APB
(100 mM) were made up as stock solutions in 100% dimethyl sulphoxide (DMSO).
2.6. Statistics
Data are expressed as mean ± s.e.m. where n is the cell number for electrophysiological
recordings and Ca2+ imaging. Data sets were compared using a paired t-test for the results
Biomolecules 2023, 13, 952
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before and after treatment, or the ANOVA Bonferroni’s post-hoc analysis for comparing
more than two groups with significance indicated if p < 0.05.
3. Results
3.1. Ca2+ Influx Induced by Hcy in HAECs
The effect of Hcy on Ca2+ influx was measured in the primary cultured HAECs
using Fluo-3 AM Ca2+ dye. Hcy at 1–100 µM increased the intracellular [Ca2+]i, which
accounted for 33.1 ± 1.1% of the amplitude of the Ca2+ signal induced by calcium ionophore
A231872 (Figure 1A,B). Blocking the voltage-gated Ca2+ channels with verapamil or using
100 mM K+ in the bath solution (equal molar substitution of Na+) to clamp the membrane
potential did not prevent the effect of Hcy (Figure 1C,D), suggesting that Hcy-induced Ca2+
increase is mediated by non-voltage gated Ca2+-permeable channels. We also examined
the Ca2+ release using the sarco/endoplasmic reticulum Ca2+-ATPase (SERCA) inhibitor
thapsigargin (TG). Depletion of the ER Ca2+ store showed no significant blocking effect
on Hcy-induced intracellular Ca2+ increase (Figure 1E). Hcy has been reported to induce
Ca2+ transient through NMDA receptor activation in cultured neurons [24], therefore,
we tested the effect of Hcy in cells treated with the NMDA antagonist D-(−)-2-amino-5-
phosphonopentanoic acid (D-AP5). D-AP5 at 50 µM was unable to prevent the Hcy-induced
Ca2+ influx (Figure 1F), suggesting that other Ca2+ entry pathways exist in endothelial cells.
These results suggest that Hcy increases Ca2+ influx mainly through non-voltage gated
channels, rather than the Ca2+ release or NMDA receptors in vascular endothelial cells.
Figure 1. Effect of Hcy on Ca2+ influx in HAECs. Ca2+ influx was measured using Fluo-3 AM.
(A) Example of Hcy on Ca2+ influx. Hcy was added accumulatedly and followed by calcium
ionophore A23187 (2 µM). (B) The mean ± s.e.m. for the effect of Hcy. (C) Effect of Hcy under the bath
solution with 100 mM K+. (D) Response to Hcy after blocking the voltage-gated Ca2+ channel with
10 µM verapamil. (E) Thapsigargin (2 µM) was added to block the SERCA. (F) NMDA antagonist
5-AP (50 µM) added. The ANOVA test was used and n = 6–8 for each experiment. *** p < 0.001.
Biomolecules 2023, 13, x FOR PEER REVIEW 4 of 17 2.6. Statistics Data are expressed as mean ± s.e.m. where n is the cell number for electrophysiolog-ical recordings and Ca2+ imaging. Data sets were compared using a paired t-test for the results before and after treatment, or the ANOVA Bonferroni’s post-hoc analysis for com-paring more than two groups with significance indicated if p < 0.05. 3. Results 3.1. Ca2+ Influx Induced by Hcy in HAECs The effect of Hcy on Ca2+ influx was measured in the primary cultured HAECs using Fluo-3 AM Ca2+ dye. Hcy at 1–100 µM increased the intracellular [Ca2+]i, which accounted for 33.1 ± 1.1% of the amplitude of the Ca2+ signal induced by calcium ionophore A231872 (Figure 1A,B). Blocking the voltage-gated Ca2+ channels with verapamil or using 100 mM K+ in the bath solution (equal molar substitution of Na+) to clamp the membrane potential did not prevent the effect of Hcy (Figure 1C,D), suggesting that Hcy-induced Ca2+ increase is mediated by non-voltage gated Ca2+-permeable channels. We also examined the Ca2+ release using the sarco/endoplasmic reticulum Ca2⁺-ATPase (SERCA) inhibitor thapsigar-gin (TG). Depletion of the ER Ca2+ store showed no significant blocking effect on Hcy-induced intracellular Ca2+ increase (Figure 1E). Hcy has been reported to induce Ca2+ tran-sient through NMDA receptor activation in cultured neurons [24], therefore, we tested the effect of Hcy in cells treated with the NMDA antagonist D-(−)-2-amino-5-phosphono-pentanoic acid (D-AP5). D-AP5 at 50 µM was unable to prevent the Hcy-induced Ca2+ influx (Figure 1F), suggesting that other Ca2+ entry pathways exist in endothelial cells. These results suggest that Hcy increases Ca2+ influx mainly through non-voltage gated channels, rather than the Ca2+ release or NMDA receptors in vascular endothelial cells. Figure 1. Effect of Hcy on Ca2+ influx in HAECs. Ca2+ influx was measured using Fluo-3 AM. (A) Example of Hcy on Ca2+ influx. Hcy was added accumulatedly and followed by calcium ionophore Biomolecules 2023, 13, 952
5 of 16
3.2. Hcy-Induced Ca2+ Influx through TRPC4 and TRPC5 Channels
To explore which pathway is involved in Hcy-induced Ca2+ entry, we examined the
expression and function of TRPC channels in endothelial cells. The mRNAs of TRPC1, 3, 4,
and 6 were detected in the HAECs using RT-PCR. TRPC1 and TRPC4 were more abundant
in HUVEC, but TRPC5 was low and TRPC3, TRPC6, and TRPC7 seemed to be absent in
HUVEC (Figure 2A). The spliced isoforms of TRPC1E9del, TRPC4β1, and TRPC4ε1 were
also identified in the HAECs using the primer sets we reported previously [42] (Figure 2B).
Figure 2. Hcy-induced Ca2+ influx through TRPC4 and TRPC5 channels in endothelial cells.
(A) mRNAs of TRPCs in vascular endothelial cells (HAECs and HUVECs). The plasmid cDNAs for
TRPC3, 6, and 7 were used as positive controls. (B) Detection of TRPC1 and TRPC4 spliced variants
in HAECs. The PCR primers and the corresponding size of amplicons were given in our previous
reports [42]. (C) TRPC4 current recorded in HEK293 T-REx cells inducibly overexpressing TRPC4α
channels and the effect of Hcy (100 µM). (D) Current for induced TRPC5 cells. (E) Non-induced
T-REx cell as control. (F) The mean ± s.e.m. measured at ±80 mV after exposure to each compound.
n = 5–6 for each group. *** p < 0.001 compared with La3+ treatment measured at ±80 mV.
Using whole-cell patch recordings, the effects of Hcy on TRPC4 and TRPC5 currents
were examined in the HEK293 T-REx cells inducibly expressing TRPC channels [38]. Lan-
thanides (La3+ or Gd3+) were used as channel activators in our experiment as we used
before [41,45]. After perfusion with Hcy, the currents of TRPC4 and TRPC5 were signifi-
cantly stimulated (Figure 2C,D) while no effects were observed on the non-induced cells
(Figure 2E,F), suggesting that Hcy induced Ca2+ influx via the activation of TRPC4 and
TRPC5 channels.
Biomolecules 2023, 13, x FOR PEER REVIEW 5 of 17 A23187 (2 µM). (B) The mean ± s.e.m. for the effect of Hcy. (C) Effect of Hcy under the bath solution with 100 mM K+. (D) Response to Hcy after blocking the voltage-gated Ca2+ channel with 10 µM verapamil. (E) Thapsigargin (2 µM) was added to block the SERCA. (F) NMDA antagonist 5-AP (50 µM) added. The ANOVA test was used and n = 6–8 for each experiment. *** p < 0.001. 3.2. Hcy-Induced Ca2+ Influx through TRPC4 and TRPC5 Channels To explore which pathway is involved in Hcy-induced Ca2+ entry, we examined the expression and function of TRPC channels in endothelial cells. The mRNAs of TRPC1, 3, 4, and 6 were detected in the HAECs using RT-PCR. TRPC1 and TRPC4 were more abun-dant in HUVEC, but TRPC5 was low and TRPC3, TRPC6, and TRPC7 seemed to be absent in HUVEC (Figure 2A). The spliced isoforms of TRPC1E9del, TRPC4β1, and TRPC4Ɛ1 were also identified in the HAECs using the primer sets we reported previously [42] (Figure 2B). Using whole-cell patch recordings, the effects of Hcy on TRPC4 and TRPC5 currents were examined in the HEK293 T-REx cells inducibly expressing TRPC channels [38]. Lan-thanides (La3+ or Gd3+) were used as channel activators in our experiment as we used be-fore [41,45]. After perfusion with Hcy, the currents of TRPC4 and TRPC5 were signifi-cantly stimulated (Figure 2C,D) while no effects were observed on the non-induced cells (Figure 2E,F), suggesting that Hcy induced Ca2+ influx via the activation of TRPC4 and TRPC5 channels. Figure 2. Hcy-induced Ca2+ influx through TRPC4 and TRPC5 channels in endothelial cells. (A) mRNAs of TRPCs in vascular endothelial cells (HAECs and HUVECs). The plasmid cDNAs for TRPC3, 6, and 7 were used as positive controls. (B) Detection of TRPC1 and TRPC4 spliced variants Biomolecules 2023, 13, 952
6 of 16
3.3. Activation of TRPC4 and TRPC5 by Divalent Cu2+ and the Interference by Hcy
Hcy and copper are two important regulators of cellular oxidative stress and both
are involved in atherogenicity, however, their mechanisms are unclear [30]. We found
that divalent Cu2+ showed an initial transient inhibition and then a gradual activation of
TRPC4α and TRPC5 currents after perfusion with 10 µM Cu2+ (Figure 3A,B). The current of
TRPC4β1 was also activated by Cu2+ (Figure S1A). The EC50 of Cu2+ for TRPC4α channel
activation was 6.8 µM (Figure S1B). The Cu2+-induced currents were also sensitive to
the non-selective TRPC blocker 2-APB as the currents of TRPC4 and TRPC5 induced by
lanthanides [41,45]. Interestingly, perfusion with Hcy (100 µM) completely prevented the
TRPC4 and TRPC5 channel activation by Cu2+ (Figure 3C,D), suggesting that the interaction
of Hcy and copper is critical for regulating TRPC channel activity. We also examined the
interaction on TRPM2 channels, since the channel is expressed in endothelial cells and
inhibited by Cu2+ [35,46]. Hcy had no significant effect on TRPM2, but it prevented the
inhibitory effect of Cu2+ (Figure S2). These data indicate that the complexes of Hcy–copper
or the charge of copper ions may be the determinant for their effects on ion channels.
Figure 3. TRPC channel activated by Cu2+ and counteracted by Hcy. (A,B) Representative time
course and IV curve for TRPC4 and TRPC5 activated by Cu2+. 2-APB (100 µM) as a control channel
blocker. (C,D) TRPC4 and TRPC5 currents after perfusion with 100 µM Hcy, the addition of 10 µM
Cu2+, and the washout of Hcy. (E) The mean ± s.e.m. data for the effect of Cu2+ (n = 6–8. *** p < 0.01).
(F) The mean ± s.e.m. data for Hcy plus Cu2+ (n = 5–6. *** p < 0.001).
3.4. No Effect of Monovalent Cu+ on TRPC Channel
To test the role of copper ion charges, we examined the effects of monovalent copper (I)
compounds. As shown in Figure 4, the copper (I), (1,10-phenanthroline)bis(triphenylphosphine)
copper (I) nitrate dichloromethane adduct, had no effect on TRPC4α and TRPC5 chan-
nel activity, but the divalent Cu2+ activated them (Figure 4A–C). Similarly, no effects of
the monovalent copper, copper (I) 1-butanethiolate), and copper (I) tetrakis(acetonitrile)
copper(I) tetrafluoroborate) were observed on TRPC4α channels (Figure S3). These data
suggest that the divalent copper ions are essential for TRPC channel activation, but there
Biomolecules 2023, 13, x FOR PEER REVIEW 6 of 17 in HAECs. The PCR primers and the corresponding size of amplicons were given in our previous reports [42]. (C) TRPC4 current recorded in HEK293 T-REx cells inducibly overexpressing TRPC4α channels and the effect of Hcy (100 µM). (D) Current for induced TRPC5 cells. (E) Non-induced T-REx cell as control. (F) The mean ± s.e.m. measured at ±80 mV after exposure to each compound. n = 5–6 for each group. *** p < 0.001 compared with La3+ treatment measured at ±80 mV. 3.3. Activation of TRPC4 and TRPC5 by Divalent Cu2+ and the Interference by Hcy Hcy and copper are two important regulators of cellular oxidative stress and both are involved in atherogenicity, however, their mechanisms are unclear [30]. We found that divalent Cu2+ showed an initial transient inhibition and then a gradual activation of TRPC4α and TRPC5 currents after perfusion with 10 µM Cu2+ (Figure 3A,B). The current of TRPC4β1 was also activated by Cu2+ (Figure S1A). The EC50 of Cu2+ for TRPC4α channel activation was 6.8 µM (Figure S1B). The Cu2+-induced currents were also sensitive to the non-selective TRPC blocker 2-APB as the currents of TRPC4 and TRPC5 induced by lan-thanides [41,45]. Interestingly, perfusion with Hcy (100 µM) completely prevented the TRPC4 and TRPC5 channel activation by Cu2+ (Figure 3C,D), suggesting that the interac-tion of Hcy and copper is critical for regulating TRPC channel activity. We also examined the interaction on TRPM2 channels, since the channel is expressed in endothelial cells and inhibited by Cu2+[35,46]. Hcy had no significant effect on TRPM2, but it prevented the inhibitory effect of Cu2+ (Figure S2). These data indicate that the complexes of Hcy–copper or the charge of copper ions may be the determinant for their effects on ion channels. Figure 3. TRPC channel activated by Cu2+ and counteracted by Hcy. (A,B) Representative time course and IV curve for TRPC4 and TRPC5 activated by Cu2+. 2-APB (100 µM) as a control channel blocker. (C,D) TRPC4 and TRPC5 currents after perfusion with 100 µM Hcy, the addition of 10 µM Biomolecules 2023, 13, 952
7 of 16
are no effects for monovalent Cu+ ions. In addition, Se2+ with antioxidant properties had
no effect on TRPC4α channels (Figure 4D–F), suggesting that the TRPC channel has metal
ion specificity. The conversion from divalent to monovalent copper ions under oxidative
stress conditions could be an important part of endogenous regulators for TRPC4 and
TRPC5 channel activity.
Figure 4. Monovalent copper (Cu+) had no effect on TRPC channels. (A) TRPC4 cells were perfused
with 10 µM monovalent copper ((1, 10-phenanthroline), bis (triphenylphosphine) copper (I) nitrate
dichloromethane adduct), and then 10 µM divalent Cu2+. (B) Similar to (A) but TRPC5 cells were used.
(C) The mean ± s.e.m. data measured at ± 80 mV after perfusion with Cu+ and Cu2+. n = 5–7 for
each group, ** p < 0.01 and *** p < 0.001. (D) Effect of sodium selenite on TRPC4 current. (E) IV curves
for (D). (F) The mean ± s.e.m. data for the effect of Se2+ and Cu2+ on TRPC4 current.
3.5. Extracellular Activation of Cu2+ on TRPC4 and 5 Channels
Whole-cell patch recordings were performed using a pipette solution containing 10 µM
Cu2+. The activation of the TRPC4 current by the intracellular Cu2+ application did not
happen after the whole-cell configuration was formed for more than 5 min; however, bath
perfusion with 10 µM Cu2+ significantly activated the current of TRPC4α with typical IV
curves (Figure 5A). A similar effect on TRPC5 was observed (Figure 5B). We also performed
outside-out excised membrane patches and the stimulating effects on TRPC4 and TRPC5
currents by Cu2+ were significant after the external surface exposure to Cu2+ by bath perfu-
sion (Figure 5C,D). These data suggest that the action site for Cu2+ is extracellularly located.
Biomolecules 2023, 13, x FOR PEER REVIEW 7 of 17 Cu2+, and the washout of Hcy. (E) The mean ± s.e.m. data for the effect of Cu2+ (n = 6–8. *** p < 0.01). (F) The mean ± s.e.m. data for Hcy plus Cu2+ (n = 5–6. *** p < 0.001). 3.4. No Effect of Monovalent Cu+ on TRPC Channel To test the role of copper ion charges, we examined the effects of monovalent copper (I) compounds. As shown in Figure 4, the copper (I), (1,10-phenanthroline)bis(tri-phenylphosphine) copper (I) nitrate dichloromethane adduct, had no effect on TRPC4α and TRPC5 channel activity, but the divalent Cu2+ activated them (Figure 4A–C). Similarly, no effects of the monovalent copper, copper (I) 1-butanethiolate), and copper (I) tetrakis(acetonitrile) copper(I) tetrafluoroborate) were observed on TRPC4α channels (Figure S3). These data suggest that the divalent copper ions are essential for TRPC chan-nel activation, but there are no effects for monovalent Cu+ ions. In addition, Se2+ with an-tioxidant properties had no effect on TRPC4α channels (Figure 4D–F), suggesting that the TRPC channel has metal ion specificity. The conversion from divalent to monovalent cop-per ions under oxidative stress conditions could be an important part of endogenous reg-ulators for TRPC4 and TRPC5 channel activity. Figure 4. Monovalent copper (Cu+) had no effect on TRPC channels. (A) TRPC4 cells were perfused with 10 µM monovalent copper ((1, 10-phenanthroline), bis (triphenylphosphine) copper (I) nitrate dichloromethane adduct), and then 10 µM divalent Cu2+. (B) Similar to (A) but TRPC5 cells were used. (C) The mean ± s.e.m. data measured at ± 80 mV after perfusion with Cu+ and Cu2+. n = 5–7 for each group, ** p < 0.01 and *** p < 0.001. (D) Effect of sodium selenite on TRPC4 current. (E) IV curves for (D). (F) The mean ± s.e.m. data for the effect of Se2+ and Cu2+ on TRPC4 current. Biomolecules 2023, 13, 952
8 of 16
Figure 5. Extracellular effect of Cu2+ on TRPC4 and TRPC5 channels. (A) A whole-cell patch was
recorded in the HEK293 T-REx cells overexpressing TRPC4α with a pipette solution containing
10 µM Cu2+ (n = 4 for each group). (B) Same as (A) but cells overexpressing TRPC5 cells were
used. (C) Example of outside-out patches showing the effect of Cu2+ on TRPC4α. (D) Outside-out
patches for TRPC5 channels. (E) The mean ± s.e.m. for (A) and (B) (n = 4). (F) The mean ± s.e.m.
for (C,D) (n = 4). * p < 0.05, ** p < 0.01, and *** p < 0.001.
3.6. Amino acid Residues of TRPC4 Involved in Copper Activation
To identify the action site of channel activation by Cu2+, we substituted the negatively
charged glutamic acids (E) at the position of E542, E543, and E555 with the uncharged amino
acid glutamine (Q); the cysteine (C554) with tryptophan (W); and the positively charged
lysine (K) with the negatively charged glutamic acid (E) in the putative extracellular loops
between the S5 and S6 domain of TRPC4α (Figure 6). The mutants of E542Q/E543Q, E555Q,
C554W, and K556E did not affect the membrane trafficking of the channel proteins; however,
the mutants of E542Q/E543Q and C554W caused resistance to Cu2+, but these mutants
did not alter the sensitivity to trypsin, since trypsin is assumed to be an intracellular
signalling process through GPCR activation (Figure 6). The mutants E555Q and K556E did
not significantly change the effect of copper activation. These data indicate that negatively
charged glutamic acids and the cysteine residue in the third extracellular loop are functional
targets for divalent copper.
Biomolecules 2023, 13, x FOR PEER REVIEW 8 of 17 3.5. Extracellular Activation of Cu2+ on TRPC4 and 5 Channels Whole-cell patch recordings were performed using a pipette solution containing 10 µM Cu2+. The activation of the TRPC4 current by the intracellular Cu2+ application did not happen after the whole-cell configuration was formed for more than 5 min; however, bath perfusion with 10 µM Cu2+ significantly activated the current of TRPC4α with typical IV curves (Figure 5A). A similar effect on TRPC5 was observed (Figure 5B). We also per-formed outside-out excised membrane patches and the stimulating effects on TRPC4 and TRPC5 currents by Cu2+ were significant after the external surface exposure to Cu2+ by bath perfusion (Figure 5C,D). These data suggest that the action site for Cu2+ is extracellu-larly located. Figure 5. Extracellular effect of Cu2+ on TRPC4 and TRPC5 channels. (A) A whole-cell patch was recorded in the HEK293 T-REx cells overexpressing TRPC4α with a pipette solution containing 10 µM Cu2+ (n = 4 for each group). (B) Same as (A) but cells overexpressing TRPC5 cells were used. (C) Example of outside-out patches showing the effect of Cu2+ on TRPC4α. (D) Outside-out patches for TRPC5 channels. (E) The mean ± s.e.m. for (A) and (B) (n = 4). (F) The mean ± s.e.m. for (C,D) (n = 4). * p < 0.05, ** p < 0.01, and *** p < 0.001. Biomolecules 2023, 13, 952
9 of 16
Figure 6. Identification of amino acids involved in channel activation by Cu2+. The mutants of
TRPC4α tagged with EYFP were made by site-mutagenesis and membrane localisation was examined
using a fluorescent microscope. (A) The double glutamic acid mutants (TRPC4-E542Q/E543Q)
showed the loss of channel activation by Cu2+, but the robust current through the mutant channel
can also be activated by trypsin (2 nM). (B) The TRPC4-E555Q mutant was activated by Cu2+.
(C) Less sensitivity to Cu2+ for the cysteine mutant (TRPC4-C555W). (D) Glysine at the position of
556 substituted with glutamic acid (TRPC4-K556E). (E) Amino acid alignment of the transmembrane
region (S5-S6) for TRPCs (red asterisks indicate residues subject to mutagenesis) and the mean ± s.e.m.
data showing the amplitude of currents corresponding to the mutants and the wild-type control after
perfusion with Cu2+ (n = 8). *** p < 0.001.
3.7. TRPC and Homocysteine-Copper Complexes in the Regulation of Endothelial Cell Proliferation
The blocking of TRPC channels has been shown to inhibit cell proliferation by us
and others [27,42,47]. Here we further demonstrated the roles of TRPCs in the endothelial
cells from macrovasculature. The proliferation of HAECs was significantly inhibited
by specific pore-blocking TRPC antibodies (Figure 7A), which was consistent with the
nonselective blocker 2-APB (Figure 7B). The over-expression of TRPC1 or TRPC4 promoted
proliferation (Figure 7C), suggesting the significant contribution of TRPC channel activity
to endothelial cell proliferation. However, Hcy inhibited the proliferation of HAECs but
increased the proliferation of HUVECs. The pro-proliferative effect was more pronounced
in the culture medium omitting cysteine and methionine (Figure 7D), or in the T-REx cells
overexpressing Hcy-sensitive TRPC5 channels (Figure S4). On the other hand, divalent
Biomolecules 2023, 13, x FOR PEER REVIEW 9 of 17 3.6. Amino acid Residues of TRPC4 Involved in Copper Activation To identify the action site of channel activation by Cu2+, we substituted the negatively charged glutamic acids (E) at the position of E542, E543, and E555 with the uncharged amino acid glutamine (Q); the cysteine (C554) with tryptophan (W); and the positively charged lysine (K) with the negatively charged glutamic acid (E) in the putative extracel-lular loops between the S5 and S6 domain of TRPC4α (Figure 6). The mutants of E542Q/E543Q, E555Q, C554W, and K556E did not affect the membrane trafficking of the channel proteins; however, the mutants of E542Q/E543Q and C554W caused resistance to Cu2+, but these mutants did not alter the sensitivity to trypsin, since trypsin is assumed to be an intracellular signalling process through GPCR activation (Figure 6). The mutants E555Q and K556E did not significantly change the effect of copper activation. These data indicate that negatively charged glutamic acids and the cysteine residue in the third ex-tracellular loop are functional targets for divalent copper. Figure 6. Identification of amino acids involved in channel activation by Cu2+. The mutants of TRPC4α tagged with EYFP were made by site-mutagenesis and membrane localisation was exam-ined using a fluorescent microscope. (A) The double glutamic acid mutants (TRPC4-E542Q/E543Q) Biomolecules 2023, 13, 952
10 of 16
copper had no significant effect on the proliferation of HAECs but significantly reduced the
proliferation of HUVECs and the HUVEC-derived cell line EA.hy926 (Figure 7E). Combined
incubation with Hcy and Cu2+ showed inhibitory effects at low concentrations of copper
but stimulatory effects at a high concentration (100 µM Cu2+) (Figure 7F), which exhibited
significant differences from the groups treated with Hcy alone. These data suggest that the
sensitivity to Hcy and Cu2+ may rely on the types of vascular endothelial cells and the ratio
of Hcy and copper complexes.
Figure 7. Endothelial cell proliferation regulated by TRPC channels and the effects of Hcy and copper.
Cell proliferation was assayed by a WST-1 kit and absorbance was measured at a wavelength of
450 nm. (A) Endothelial cells were incubated with the pore-blocking TRPC antibodies [28,42,48] for
24 h. The TRPC5 antibody targeting the C-terminal (T5C3) and preimmune serum (Preimmune) were
used as controls. (B) 2-APB. (C) HAEC cells transfected with plasmid cDNAs for TRPC1 and TRPC4
using the electroporation method [49]. (D) Effect of Hcy on HAECs and HUVECs. (E) Effect of Cu2+
on HAEC, HUVEC, and the HUVEC-derived cell line Eahy926. (F) Combined effect of Hcy (10 µM)
and Cu2+. n = 8 for each group, * p < 0.05, ** p < 0.01, and *** p < 0.001, ##, not significant.
Biomolecules 2023, 13, x FOR PEER REVIEW 11 of 17 Figure 7. Endothelial cell proliferation regulated by TRPC channels and the effects of Hcy and cop-per. Cell proliferation was assayed by a WST-1 kit and absorbance was measured at a wavelength of 450 nm. (A) Endothelial cells were incubated with the pore-blocking TRPC antibodies [28,42,48] for 24 h. The TRPC5 antibody targeting the C-terminal (T5C3) and preimmune serum (Preimmune) were used as controls. (B) 2-APB. (C) HAEC cells transfected with plasmid cDNAs for TRPC1 and TRPC4 using the electroporation method [49]. (D) Effect of Hcy on HAECs and HUVECs. (E) Effect of Cu2+ on HAEC, HUVEC, and the HUVEC-derived cell line Eahy926. (F) Combined effect of Hcy (10 µM) and Cu2+. n = 8 for each group, * p < 0.05, ** p < 0.01, and *** p < 0.001, ##, not significant. 3.8. Hcy–Copper Complexes in the Regulation of Cell Migration and Angiogenesis TRPC channels are involved in cell migration and angiogenesis [26,50,51], so we ob-served the effects of Hcy and copper on endothelial cell migration and angiogenesis. Us-ing a linear wound assay, the number of migrated cells was seen to be significantly re-duced after treatment with Hcy (Figure 8A,B). Angiogenesis was examined using the ex-tracellular matrix (ECM) gel and Matrigel assays. The score of angiogenesis in the ECM gel and the tube formation in the Matrigel were significantly inhibited by Hcy (Figure 8C–G). However, the addition of Cu2+ in the culture medium alleviated the inhibitory effects of Hcy on endothelial cell tube formation and angiogenesis, suggesting that endothelial Biomolecules 2023, 13, 952
11 of 16
3.8. Hcy–Copper Complexes in the Regulation of Cell Migration and Angiogenesis
TRPC channels are involved in cell migration and angiogenesis [26,50,51], so we ob-
served the effects of Hcy and copper on endothelial cell migration and angiogenesis. Using
a linear wound assay, the number of migrated cells was seen to be significantly reduced
after treatment with Hcy (Figure 8A,B). Angiogenesis was examined using the extracel-
lular matrix (ECM) gel and Matrigel assays. The score of angiogenesis in the ECM gel
and the tube formation in the Matrigel were significantly inhibited by Hcy (Figure 8C–G).
However, the addition of Cu2+ in the culture medium alleviated the inhibitory effects of
Hcy on endothelial cell tube formation and angiogenesis, suggesting that endothelial cell
mobility and angiogenesis are regulated by the complexes of homocysteine and copper.
Taken together, regulation by Hcy and copper complexes via TRPC4/TRPC5 channels
could be regarded as a new mechanism to control endothelial function.
Figure 8. Endothelial cell migration and angiogenesis regulated by Hcy and Cu2+ complexes.
(A) Example of endothelial cell migration using a linear wound assay. (B) Effect of Hcy on cell
migration after 24 h of incubation. (C) Example of angiogenesis using ECM gel (i) and Matrigel for
HUVEC (ii) and Eahy926 cells (iii). (D) The mean ± s.e.m. showing the effect of Hcy on angiogenesis
(n = 40–60 imaging fields from six cell culture dishes for each group). (E–G) Effect of Hcy (10 µM)
and Cu2+ (10 µM) on endothelial cell tube formation. n = 6 for each group. The number of loops,
branching, and total length of tubes were analysed by software. *** p < 0.001.
Biomolecules 2023, 13, x FOR PEER REVIEW 12 of 17 cell mobility and angiogenesis are regulated by the complexes of homocysteine and cop-per. Taken together, regulation by Hcy and copper complexes via TRPC4/TRPC5 channels could be regarded as a new mechanism to control endothelial function. Figure 8. Endothelial cell migration and angiogenesis regulated by Hcy and Cu2+ complexes. (A) Example of endothelial cell migration using a linear wound assay. (B) Effect of Hcy on cell migration after 24 h of incubation. (C) Example of angiogenesis using ECM gel (i) and Matrigel for HUVEC (ii) and Eahy926 cells (iii). (D) The mean ± s.e.m. showing the effect of Hcy on angiogenesis (n = 40–60 imaging fields from six cell culture dishes for each group). (E–G) Effect of Hcy (10 µM) and Cu2+ (10 µM) on endothelial cell tube formation. n = 6 for each group. The number of loops, branching, and total length of tubes were analysed by software. *** p < 0.001. Biomolecules 2023, 13, 952
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4. Discussion
Our data show that Hcy can increase Ca2+ influx in HAECs. The increase is mediated
by the opening of TRPC4 and TRPC5 channels. Divalent copper acts as a non-selective
activator of TRPC4/5 channels. The channel activation by divalent copper is regulated by
Hcy. The charge of copper ions is critical for TRPC channel opening because monovalent
copper (I) shows no significant effect on TRPC channel activity. We also explored the
action site for divalent copper using excised membrane patches and site mutagenesis.
The cysteine (C554) and glutamic acids (E542 and E543) in the third extracellular loop of
TRPC4α are responsible for copper activation. Moreover, we showed that copper and
Hcy are essential regulators for endothelial cell proliferation, migration, and angiogenesis.
Divalent copper seems to counteract the effect of Hcy on proliferation and angiogenesis
which suggests the importance of the Hcy–copper interaction in causing endothelium
dysfunction and atherosclerosis. The regulation of TRPC channels is the sought-after
underlying mechanism for the pathogenesis of patients with hyperhomocysteinemia.
The effect of Hcy on intracellular [Ca2+]i is still unclear in endothelial cells, although
there are several reports showing that Hcy increases the Ca2+ influx in human platelets [52],
cultured vascular smooth muscle cells [23], podocytes [53], and neurons [24,54]. Here, we
found that Hcy increased the Ca2+ influx in HAECs which is mediated by the activation of
TRPC4 and TRPC5. The blocking of voltage-gated Ca2+ channels and NMDA receptors was
unable to prevent the Hcy-induced Ca2+ influx, suggesting that the Hcy-induced Ca2+ entry
pathway is not through the voltage-gated channel or the ligand-gated NMDA receptor
channel in vascular endothelial cells. In addition, the Hcy-induced intracellular Ca2+
increase has been linked to ER calcium release via the homocysteine-inducible ER stress
protein [55]; however, Hcy-induced Ca2+ influx also happened in the cells acutely treated
with SERCA blocker TG which suggests that main pathways of Ca2+ influx are across the
plasma membrane rather than the intracellular Ca2+ release from the ER. The effect of
Hcy on store-operated channels or ORAI channels is unknown, but high concentrations
(≥100 µM) of Hcy may inhibit the store-operated Ca2+ influx [56]. Hcy also inhibits BKCa
and thus depolarises the membrane potential and increases the vascular tone [57]. This
action may explain the diverse responses in vascular tone or [Ca2+]i observed in some cell
types [58,59]. The N-methyl-D-aspartate (NMDA) receptor activation by Hcy could also be
a mechanism for Ca2+ influx in the nervous system [24] but this mechanism may be less
significant in vascular endothelial cells.
Homocysteine contains sulphuric residues so its toxic effect has been attributed to
redox homeostasis, such as the production of different reactive oxygen species (ROS),
thus leading to the oxidation of low-density lipoprotein [20]. Cellular oxidative stress
including ER stress has also been proposed for Hcy pathophysiology [19]; the increased
ROS production activates ROS-sensitive Ca2+ channels. In addition, we demonstrated that
the TRPC5 channel is a redox-sensitive channel that can be activated by thioredoxin and
reducing agents [37] and mercury compounds [41]. Here, we found that TRPC4 and TRPC5
channel activities can be enhanced by Hcy, especially when the channels are opened by
lanthanides. TRPM2 is also a redox-sensitive channel; however, Hcy itself had no acute
effect on TRPM2 but significantly regulated the effect of Cu2+ on the TRPM2 channel.
Chronic exposure to Hcy may change gene expressions, through Ca2+ channels and ROS
signalling molecules [53,60], but we did not observe such gene expression in this study.
The total Hcy level in the blood is determined by both genetic and environmental
factors and is typically maintained at a normal range (2–14 µM). Vitamin deficiencies, in
particular folate acid and vitamins B6 and B12, appear to be the most common causes of
elevated Hcy [61]. A supplement of folic acid alone or with vitamin B12 or B6 can help
to lower Hcy levels, but it is still uncertain how effective this will be in the prevention of
cardiovascular disease or Hcy-related diseases. It has been demonstrated that both Hcy
and copper are increased in diseased vessels and diabetic patients; however, the question of
how Hcy interacts with copper and causes occlusive diseases remains unanswered. Here,
we show for the first time that copper can interact with Hcy, controlling TRPC channel
Biomolecules 2023, 13, 952
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activity, thus changing intracellular Ca2+ signalling, and subsequently the endothelial
function. This mechanism gives a new understanding of the two factors in the pathogenesis
of cardiovascular diseases. Too low or too high concentrations of copper are detrimental,
but we have demonstrated that the charge of copper ions could be more important than
the copper concentration. Although treatment with a divalent-copper-selective chelator,
triethylenetetramine (TETA), to lower the copper in the body may improve the cardiac
structure and function in patients and rats with diabetic cardiomyopathy [34], a more pre-
cise clinical trial is needed, especially regarding the charge of copper ions and consideration
of the redox environment in the body.
The inhibition of TRPCs shows anti-proliferative effects while the activation of TRPC
channels shows proliferative effects in vascular endothelial cells, which is consistent with
the observations in other cell types [26,42]. However, different types of endothelial cells may
show differences, such as the HAECs showing inhibitory characteristics and the HUVECs
showing pro-proliferative characteristics. This could be related to the predominance of
Hcy-sensitive channels. In patients with hyperhomocysteinemia, neointimal hyperplasia in
small vessels is evident [1].
In summary, we revealed a new mechanism of Hcy and copper and their interplay with
TRPC channels in endothelial cells. This new concept could be extended to other cell types
since many diseases are related to Hcy and copper and Hcy is associated with all-cause
mortality. The findings suggest the importance of copper ion charges in the pathogenesis
of vascular disorders, particularly in patients with increased homocysteine levels, and
may also provide an alternative explanation for why Hcy-lowering therapy is not very
significant in clinical trials and how Hcy-copper complexes could be the determinants.
Supplementary Materials: The following supporting information can be downloaded at: https://
www.mdpi.com/article/10.3390/biom13060952/s1, Figure S1. Activation of TRPC4β1 by Cu2+ and
the dose-response of Cu2+ on TRPC4α; Figure S2. Effect of Hcy and copper on TRPM2 current;
Figure S3. Example of monovalent copper (I) 1-butanethiolate on TRPC4α current; and Figure S4.
Hcy increased cell proliferation of T-Rex cells overexpressing TRPC5.
Author Contributions: Conceptualisation, G.-L.C., B.Z. and S.-Z.X.; methodology, G.-L.C., B.Z., N.D.,
H.J. and R.J.C.; validation, G.-L.C., B.Z., N.D. and S.-Z.X.; formal analysis, G.-L.C., B.Z., N.D. and
R.J.C.; investigation, G.-L.C., B.Z., H.J., N.D., R.S. and R.J.C.; writing—original draft preparation, G.-
L.C., B.Z. and S.-Z.X.; writing—review and editing, S.-Z.X.; supervision, S.-Z.X.; funding acquisition,
S.-Z.X. All authors have read and agreed to the published version of the manuscript.
Funding: This research was funded by the British Heart Foundation (PG/08/071/25473) (to S.-Z.X.).
B.Z. received a Scholarship from the China Scholarship Council. H.J. was supported by a Leverhulme
Trust fellowship.
Institutional Review Board Statement: Not applicable.
Informed Consent Statement: Not applicable.
Data Availability Statement: The data supporting this study are available from the corresponding
authors upon reasonable request.
Acknowledgments: We thank Neil Watson and Sahar Avazzadeh for their technical assistance.
Conflicts of Interest: The authors declare no conflict of interest.
References
1. McCully, K.S. Vascular pathology of homocysteinemia: Implications for the pathogenesis of arteriosclerosis. Am. J. Pathol. 1969,
2.
3.
56, 111–128. [PubMed]
Jensen, M.K.; Bertoia, M.L.; Cahill, L.E.; Agarwal, I.; Rimm, E.B.; Mukamal, K.J. Novel metabolic biomarkers of cardiovascular
disease. Nat. Rev. Endocrinol. 2014, 10, 659–672. [CrossRef] [PubMed]
Chen, S.-C.; Su, H.-M.; Chang, J.-M.; Liu, W.-C.; Tsai, J.-C.; Tsai, Y.-C.; Lin, M.-Y.; Hwang, S.-J.; Chen, H.-C. Increasing prevalence
of peripheral artery occlusive disease in hemodialysis patients: A 2-year follow-up. Am. J. Med. Sci. 2012, 343, 440–445. [CrossRef]
[PubMed]
Biomolecules 2023, 13, 952
14 of 16
4.
5.
6.
7.
8.
9.
Schaffer, A.; Verdoia, M.; Cassetti, E.; Marino, P.; Suryapranata, H.; De Luca, G.; Novara Atherosclerosis Study Group (NAS).
Relationship between homocysteine and coronary artery disease. Results from a large prospective cohort study. Thromb. Res.
2014, 134, 288–293. [CrossRef]
Zylberstein, D.E.; Bengtsson, C.; Björkelund, C.; Landaas, S.; Sundh, V.; Thelle, D.; Lissner, L. Serum homocysteine in relation to
mortality and morbidity from coronary heart disease: A 24-year follow-up of the population study of women in Gothenburg.
Circulation 2004, 109, 601–606. [CrossRef]
Homocysteine Studies Collaboration. Homocysteine and risk of ischemic heart disease and stroke: A meta-analysis. JAMA 2002,
288, 2015–2022. [CrossRef]
Zylberstein, D.E.; Skoog, I.; Björkelund, C.; Guo, X.; Hultén, B.; Andreasson, L.-A.; Palmertz, B.; Thelle, D.S.; Lissner, L.
Homocysteine levels and lacunar brain infarcts in elderly women: The prospective population study of women in Gothenburg.
J. Am. Geriatr. Soc. 2008, 56, 1087–1091. [CrossRef]
Casas, J.P.; Bautista, L.E.; Smeeth, L.; Sharma, P.; Hingorani, A.D. Homocysteine and stroke: Evidence on a causal link from
mendelian randomisation. Lancet 2005, 365, 224–232. [CrossRef]
Kuan, Y.M.; Dear, A.E.; Grigg, M.J. Homocysteine: An aetiological contributor to peripheral vascular arterial disease. ANZ J. Surg.
2002, 72, 668–671. [CrossRef]
10. Den Heijer, M.; Lewington, S.; Clarke, R. Homocysteine, MTHFR and risk of venous thrombosis: A meta-analysis of published
epidemiological studies. J. Thromb. Haemost. 2005, 3, 292–299. [CrossRef]
11. Loscalzo, J. Homocysteine and dementias. N. Engl. J. Med. 2002, 346, 466–468. [CrossRef]
12. Rozycka, A.; Jagodzinski, P.P.; Kozubski, W.; Lianeri, M.; Dorszewska, J. Homocysteine Level and Mechanisms of Injury in
Parkinson’s Disease as Related to MTHFR, MTR, and MTHFD1 Genes Polymorphisms and L-Dopa Treatment. Curr. Genom. 2013,
14, 534–542. [CrossRef]
13. Elias, A.N.; Eng, S. Homocysteine concentrations in patients with diabetes mellitus-relationship to microvascular and macrovas-
cular disease. Diabetes Obes. Metab. 2005, 7, 117–121. [CrossRef]
14. Van Meurs, J.B.; Dhonukshe-Rutten, R.A.; Pluijm, S.M.; Van Der Klift, M.; De Jonge, R.; Lindemans, J.; De Groot, L.C.; Hofman,
A.; Witteman, J.C.; Van Leeuwen, J.P.; et al. Homocysteine levels and the risk of osteoporotic fracture. N. Engl. J. Med. 2004, 350,
2033–2041. [CrossRef]
15. Yi, F.; Li, P.L. Mechanisms of homocysteine-induced glomerular injury and sclerosis. Am. J. Nephrol. 2008, 28, 254–264. [CrossRef]
16. Mills, J.L.; Lee, Y.J.; Conley, M.R.; Kirke, P.N.; McPartlin, J.M.; Weir, D.G.; Scott, J.M. Homocysteine metabolism in pregnancies
complicated by neural-tube defects. Lancet 1995, 345, 149–151. [CrossRef]
17. Adinolfi, L.E.; Ingrosso, D.; Cesaro, G.; Cimmino, A.; D’Antò, M.; Capasso, R.; Zappia, V.; Ruggiero, G. Hyperhomocysteinemia
and the MTHFR C677T polymorphism promote steatosis and fibrosis in chronic hepatitis C patients. Hepatology 2005, 41, 995–1003.
[CrossRef]
18. Wang, L.; Chen, X.; Tang, B.; Hua, X.; Klein-Szanto, A.; Kruger, W.D. Expression of mutant human cystathionine {beta}-synthase
rescues neonatal lethality but not homocystinuria in a mouse model. Hum. Mol. Genet. 2005, 14, 2201–2208. [CrossRef]
19. Austin, R.C.; Lentz, S.R.; Werstuck, G.H. Role of hyperhomocysteinemia in endothelial dysfunction and atherothrombotic disease.
Cell Death Differ. 2004, 11 (Suppl. S1), S56–S64. [CrossRef]
20. Becker, J.S.; Adler, A.; Schneeberger, A.; Huang, H.; Wang, Z.; Walsh, E.; Koller, A.; Hintze, T.H. Hyperhomocysteinemia, a cardiac
metabolic disease: Role of nitric oxide and the p22phox subunit of NADPH oxidase. Circulation 2005, 111, 2112–2118. [CrossRef]
21. Toole, J.; Malinow, M.; Chambless, L. Lowering homocysteine in patients with ischemic stroke to prevent recurrent stroke,
myocardial infarction, and death: The Vitamin Intervention for Stroke Prevention (VISP) randomized controlled trial. JAMA 2004,
291, 565–575. [CrossRef] [PubMed]
Spence, J.D.; Stampfer, M.J. Understanding the complexity of homocysteine lowering with vitamins: The potential role of
subgroup analyses. JAMA 2011, 306, 2610–2611. [CrossRef] [PubMed]
22.
23. Mujumdar, V.S.; Hayden, M.R.; Tyagi, S.C. Homocyst(e)ine induces calcium second messenger in vascular smooth muscle cells.
J. Cell Physiol. 2000, 183, 28–36. [CrossRef]
24. Abushik, P.A.; Niittykoski, M.; Giniatullina, R.; Shakirzyanova, A.; Bart, G.; Fayuk, D.; Sibarov, D.A.; Antonov, S.M.; Giniatullin,
R. The role of NMDA and mGluR5 receptors in calcium mobilization and neurotoxicity of homocysteine in trigeminal and cortical
neurons and glial cells. J. Neurochem. 2014, 129, 264–274. [CrossRef]
25. Ganapathy, P.S.; White, R.E.; Ha, Y.; Bozard, B.R.; McNeil, P.L.; Caldwell, R.W.; Kumar, S.; Black, S.M.; Smith, S.B. The role of
N-methyl-D-aspartate receptor activation in homocysteine-induced death of retinal ganglion cells. Investig. Ophthalmol. Vis. Sci.
2011, 52, 5515–5524. [CrossRef]
26. Xu, S.-Z.; Muraki, K.; Zeng, F.; Li, J.; Sukumar, P.; Shah, S.; Dedman, A.M.; Flemming, P.K.; McHugh, D.; Naylor, J.; et al.
A sphingosine-1-phosphate-activated calcium channel controlling vascular smooth muscle cell motility. Circ. Res. 2006, 98,
1381–1389. [CrossRef]
27. Kumar, B.; Dreja, K.; Shah, S.S.; Cheong, A.; Xu, S.Z.; Sukumar, P.; Naylor, J.; Forte, A.; Cipollaro, M.; McHugh, D.; et al.
Upregulated TRPC1 channel in vascular injury in vivo and its role in human neointimal hyperplasia. Circ. Res. 2006, 98, 557–563.
[CrossRef]
28. Xu, S.Z.; Beech, D.J. TrpC1 is a membrane-spanning subunit of store-operated Ca2+ channels in native vascular smooth muscle
cells. Circ. Res. 2001, 88, 84–87. [CrossRef]
Biomolecules 2023, 13, 952
15 of 16
29. Beech, D.J.; Muraki, K.; Flemming, R. Non-selective cationic channels of smooth muscle and the mammalian homologues of
Drosophila TRP. J. Physiol. 2004, 559 Pt 3, 685–706. [CrossRef]
30. Kang, Y.J. Copper and homocysteine in cardiovascular diseases. Pharmacol. Ther. 2010, 129, 321–331. [CrossRef]
31. Mansoor, M.A.; Bergmark, C.; Haswell, S.J.; Savage, I.F.; Evans, P.H.; Berge, R.K.; Svardal, A.M.; Kristensen, O. Correlation
between plasma total homocysteine and copper in patients with peripheral vascular disease. Clin. Chem. 2000, 46, 385–391.
[CrossRef]
32. Dudman, N.P.; Wilcken, D.E. Increased plasma copper in patients with homocystinuria due to cystathionine beta-synthase
deficiency. Clin. Chim. Acta 1983, 127, 105–113. [CrossRef]
33. Gromadzka, G.; Rudnicka, M.; Chabik, G.; Przybyłkowski, A.; Członkowska, A. Genetic variability in the methylenetetrahydrofo-
late reductase gene (MTHFR) affects clinical expression of Wilson’s disease. J. Hepatol. 2011, 55, 913–919. [CrossRef]
34. Zhang, L.; Ward, M.-L.; Phillips, A.R.; Zhang, S.; Kennedy, J.; Barry, B.; Cannell, M.B.; Cooper, G.J. Protection of the heart by
treatment with a divalent-copper-selective chelator reveals a novel mechanism underlying cardiomyopathy in diabetic rats.
Cardiovasc. Diabetol. 2013, 12, 123. [CrossRef]
35. Xu, S.Z.; Zhong, W.; Watson, N.M.; Dickerson, E.; Wake, J.D.; Lindow, S.W.; Newton, C.J.; Atkin, S.L. Fluvastatin reduces oxidative
damage in human vascular endothelial cells by upregulating Bcl-2. J. Thromb. Haemost. 2008, 6, 692–700. [CrossRef]
36. Daskoulidou, N.; Zeng, B.; Berglund, L.M.; Jiang, H.; Chen, G.-L.; Kotova, O.; Bhandari, S.; Ayoola, J.; Griffin, S.; Atkin, S.L.; et al.
High glucose enhances store-operated calcium entry by upregulating ORAI/STIM via calcineurin-NFAT signalling. J. Mol. Med.
2015, 93, 511–521. [CrossRef]
37. Xu, S.-Z.; Sukumar, P.; Zeng, F.; Li, J.; Jairaman, A.; English, A.; Naylor, J.; Ciurtin, C.; Majeed, Y.; Milligan, C.J.; et al. TRPC
38.
channel activation by extracellular thioredoxin. Nature 2008, 451, 69–72. [CrossRef]
Jiang, H.; Zeng, B.; Chen, G.-L.; Bot, D.; Eastmond, S.; Elsenussi, S.E.; Atkin, S.L.; Boa, A.N.; Xu, S.-Z. Effect of non-steroidal
anti-inflammatory drugs and new fenamate analogues on TRPC4 and TRPC5 channels. Biochem. Pharmacol. 2012, 83, 923–931.
[CrossRef]
39. Chen, G.-L.; Zeng, B.; Eastmond, S.; Elsenussi, S.E.; Boa, A.; Xu, S.-Z. Pharmacological comparison of novel synthetic fenamate
analogues with econazole and 2-APB on the inhibition of TRPM2 channels. Br. J. Pharmacol. 2012, 167, 1232–1243. [CrossRef]
40. Li, P.; Rubaiy, H.N.; Chen, G.L.; Hallett, T.; Zaibi, N.; Zeng, B.; Saurabh, R.; Xu, S.Z. Mibefradil, a T-type Ca(2+) channel blocker
also blocks Orai channels by action at the extracellular surface. Br. J. Pharmacol. 2019, 176, 3845–3856. [CrossRef]
41. Xu, S.-Z.; Zeng, B.; Daskoulidou, N.; Chen, G.-L.; Atkin, S.L.; Lukhele, B. Activation of TRPC cationic channels by mercurial
compounds confers the cytotoxicity of mercury exposure. Toxicol. Sci. 2012, 125, 56–68. [CrossRef] [PubMed]
42. Zeng, B.; Yuan, C.; Yang, X.; Atkin, S.L.; Xu, S.-Z. TRPC channels and their splice variants are essential for promoting human
ovarian cancer cell proliferation and tumorigenesis. Curr. Cancer Drug Targets 2013, 13, 103–116. [CrossRef] [PubMed]
43. Zaibi, N.; Li, P.; Xu, S.Z. Protective effects of dapagliflozin against oxidative stress-induced cell injury in human proximal tubular
cells. PLoS ONE 2021, 16, e0247234. [CrossRef] [PubMed]
44. Aranda, E.; Owen, G.I. A semi-quantitative assay to screen for angiogenic compounds and compounds with angiogenic potential
using the EA.hy926 endothelial cell line. Biol. Res. 2009, 42, 377–389. [CrossRef]
45. Xu, S.-Z.; Zeng, F.; Boulay, G.; Grimm, C.; Harteneck, C.; Beech, D.J. Block of TRPC5 channels by 2-aminoethoxydiphenyl borate:
A differential, extracellular and voltage-dependent effect. Br. J. Pharmacol. 2005, 145, 405–414. [CrossRef]
46. Zeng, B.; Chen, G.L.; Xu, S.Z. Divalent copper is a potent extracellular blocker for TRPM2 channel. Biochem. Biophys. Res. Commun.
2012, 424, 279–284. [CrossRef]
47. Kuang, C.-Y.; Yü, Y.; Wang, K.; Qian, D.-H.; Den, M.-Y.; Huang, L. Knockdown of transient receptor potential canonical-1 reduces
the proliferation and migration of endothelial progenitor cells. Stem. Cells Dev. 2012, 21, 487–496. [CrossRef]
48. Xu, S.-Z.; Zeng, F.; Lei, M.; Li, J.; Gao, B.; Xiong, C.; Sivaprasadarao, A.; Beech, D. Generation of functional ion-channel tools by
E3 targeting. Nat. Biotechnol. 2005, 23, 1289–1293. [CrossRef]
49. Zeng, B.; Chen, G.-L.; Garcia-Vaz, E.; Bhandari, S.; Daskoulidou, N.; Berglund, L.M.; Jiang, H.; Hallett, T.; Zhou, L.-P.; Huang, L.;
et al. ORAI channels are critical for receptor-mediated endocytosis of albumin. Nat. Commun. 2017, 8, 1920. [CrossRef]
50. Yu, P.-C.; Gu, S.-Y.; Bu, J.-W.; Du, J.-L. TRPC1 is essential for in vivo angiogenesis in zebrafish. Circ. Res. 2010, 106, 1221–1232.
[CrossRef]
51. Antigny, F.; Girardin, N.; Frieden, M. Transient receptor potential canonical channels are required for in vitro endothelial tube
formation. J. Biol. Chem. 2012, 287, 5917–5927. [CrossRef]
52. Alexandru, N.; Jardín, I.; Popov, D.; Simionescu, M.; García-Estañ, J.; Salido, G.M.; Rosado, J.A. Effect of homocysteine on calcium
mobilization and platelet function in type 2 diabetes mellitus. J. Cell Mol. Med. 2008, 12, 2586–2597. [CrossRef]
53. Han, H.; Wang, Y.; Li, X.; Wang, P.A.; Wei, X.; Liang, W.; Ding, G.; Yu, X.; Bao, C.; Zhang, Y.; et al. Novel role of NOD2 in
mediating Ca2+ signaling: Evidence from NOD2-regulated podocyte TRPC6 channels in hyperhomocysteinemia. Hypertension
2013, 62, 506–511. [CrossRef]
54. Ovey, I.S.; Naziroglu, M. Homocysteine and cytosolic GSH depletion induce apoptosis and oxidative toxicity through cytosolic
calcium overload in the hippocampus of aged mice: Involvement of TRPM2 and TRPV1 channels. Neuroscience 2015, 284, 225–233.
[CrossRef]
Biomolecules 2023, 13, 952
16 of 16
55. Chigurupati, S.; Wei, Z.; Belal, C.; Vandermey, M.; Kyriazis, G.; Arumugam, T.; Chan, S.L. The homocysteine-inducible
endoplasmic reticulum stress protein counteracts calcium store depletion and induction of CCAAT enhancer-binding protein
homologous protein in a neurotoxin model of Parkinson disease. J. Biol. Chem. 2009, 284, 18323–18333. [CrossRef]
56. Zhang, H.-S.; Xiao, J.-H.; Cao, E.-H.; Qin, J.-F. Homocysteine inhibits store-mediated calcium entry in human endothelial cells:
Evidence for involvement of membrane potential and actin cytoskeleton. Mol. Cell Biochem. 2005, 269, 37–47. [CrossRef]
57. Cai, B.; Gong, D.; Pan, Z.; Liu, Y.; Qian, H.; Zhang, Y.; Jiao, J.; Lu, Y.; Yang, B. Large-conductance Ca2+-activated K+ currents
blocked and impaired by homocysteine in human and rat mesenteric artery smooth muscle cells. Life Sci. 2007, 80, 2060–2066.
[CrossRef]
58. Cortés, M.P.; Becerra, J.P.; Vinet, R.; Álvarez, R.; Quintana, I. Inhibition of ATP-induced calcium influx by homocysteine in human
umbilical vein endothelial cells. Cell Biol. Int. 2013, 37, 600–607. [CrossRef]
59. Cai, B.; Gong, D.; Chen, N.; Li, J.; Wang, G.; Lu, Y.; Yang, B. The negative inotropic effects of homocysteine were prevented by
matrine via the regulating intracellular calcium level. Int. J. Cardiol. 2011, 150, 113–115. [CrossRef]
60. Thilo, F.; Liu, Y.; Krueger, K.; Förste, N.; Wittstock, A.; Scholze, A.; Tepel, M. Do cysteine residues regulate transient receptor
potential canonical type 6 channel protein expression? Antioxid. Redox Signal 2012, 16, 452–457. [CrossRef]
61. Lucock, M.; Yates, Z. Folic acid-vitamin and panacea or genetic time bomb? Nat. Rev. Genet. 2005, 6, 235–240. [CrossRef]
[PubMed]
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10.1177_03010066231175014.pdf
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Data Availability
Data and scripts used to conduct this analysis can be viewed at Open Science Framework: Data and analysis for
Effects of cortical distance on the Ebbinghaus and Delboeuf illusions. https://doi.org/10.17605/OSF.IO/
GUHSF.
|
Data Availability Data and scripts used to conduct this analysis can be viewed at Open Science Framework: Data and analysis for Effects of cortical distance on the Ebbinghaus and Delboeuf illusions. https://doi.org/10.17605/OSF.IO/ GUHSF .
|
Article
Effects of cortical distance
on the Ebbinghaus
and Delboeuf illusions
Perception
2023, Vol. 52(7) 459–483
© The Author(s) 2023
Article reuse guidelines:
sagepub.com/journals-permissions
DOI: 10.1177/03010066231175014
journals.sagepub.com/home/pec
Poutasi W. B. Urale
and Dietrich Samuel Schwarzkopf
School of Optometry & Vision Science, The University of Auckland,
New Zealand
Abstract
The Ebbinghaus and Delboeuf illusions affect the perceived size of a target circle depending on the
size and proximity of circular inducers or a ring. Converging evidence suggests that these illusions
are driven by interactions between contours mediated by their cortical distance in primary visual
cortex. We tested the effect of cortical distance on these illusions using two methods: First, we
manipulated retinal distance between target and inducers in a two-interval forced choice design,
finding that targets appeared larger with a closer surround. Next, we predicted that targets pre-
sented peripherally should appear larger due to cortical magnification. Hence, we tested the illu-
sion strength when positioning the stimuli at various eccentricities, with results supporting this
hypothesis. We calculated estimated cortical distances between illusion elements in each experi-
ment and used these estimates to compare the relationship between cortical distance and illusion
strength across our experiments. In a final experiment, we modified the Delboeuf illusion to test
whether the influence of the inducers/annuli in this illusion is influenced by an inhibitory surround.
We found evidence that an additional outer ring makes targets appear smaller compared to a sin-
gle-ring condition, suggesting that near and distal contours have antagonistic effects on perceived
target size.
Keywords
neural mechanisms, perception, crowding, eccentricity, Ebbinghaus illusion, Delboeuf illusion, size
perception
Date Received: 7 February 2022; accepted: 12 April 2023
Corresponding author:
Dietrich Samuel Schwarzkopf, School of Optometry & Vision Science, The University of Auckland, 85 Park Road,
Grafton, Auckland.
Email: s.schwarzkopf@auckland.ac.nz
460
Perception 52(7)
The Ebbinghaus illusion (see Figure 1) has bamboozled our visual systems for over a century
(Ebbinghaus, 1902; Titchener, 1905). Yet, despite a mountain of research on this illusion, the
neural mechanisms underlying it remain poorly understood. Filling this lacuna is crucial for under-
standing how the brain determines visual object size, which is itself an unresolved question
(Schwarzkopf, 2015).
Theories of the Ebbinghaus Illusion
Several theories have attempted to explain the Ebbinghaus illusion. Most illustrations of this illusion
show an apparent “size-contrast” effect, where the center circle (target) surrounded by small inducers
appears larger, while large inducers make the target appear smaller (e.g., Massaro & Anderson, 1970,
1971; Obonai, 1954). Many authors have thus described the illusion in terms of this size-contrast
mechanism (Aglioti et al., 1995; Haffenden et al., 2001; Yamazaki et al., 2010). However,
Todorović and Jovanović (2018) point out that size-contrast is descriptive rather than explanatory
and offers an incomplete account for the illusion. They argue that size contrast is nebulously
defined, and that there is no explanation for why there is a size-contrast effect instead of an assimilation
effect, as found for other visual illusions such as the tilt illusion (Clifford, 2014).
Part of this objection stems from the observation that geometrical features other than inducer size
also modulate the strength of the Ebbinghaus illusion. One such factor is object-level similarity
between targets and inducers, which make the illusion stronger (Coren & Miller, 1974; Massaro
& Anderson, 1971; Rose & Bressan, 2002). The illusion also depends on the amount of empty
space between inducers, with a more complete ring of inducers around the periphery of the
target strengthening the illusion (Girgus et al., 1972; Massaro & Anderson, 1970; Roberts et al.,
2005). Roberts et al. (2005) investigated the role of completeness by directly comparing the
Ebbinghaus illusion to the Delboeuf illusion (see Figure 1), another size-perception illusion that
uses a circular ring that surrounds the target stimulus instead of multiple circular inducers
(Delboeuf, 1865; Evans, 1995). They showed that an Ebbinghaus configuration composed of
Figure 1. Key stimuli. (A-B) The Ebbinghaus illusion. Most observers will perceive the white filled-in circle in
B (small inducers) as larger than that in A (large inducers). (C) The test targets Experiments 1, 2, 3a, and 3b
varies according to a staircase procedure. (D-E) The Delboeuf illusion. Most observers will perceive the white
filled-in circle in E (close ring) as larger than that in D (far ring). (F) Novel two-ring Delboeuf stimulus used in
Experiment 3a, featuring near and far annuli.
Urale and Schwarzkopf
461
small inducers that formed a complete ring yield about the same illusory effect as a Delboeuf con-
figuration, and that both configurations yielded stronger effects than Ebbinghaus configurations
with less complete inducer annuli. Lastly, Ebbinghaus illusion strength changes with the distance
between the target and inducers (target-inducer distance). Massaro and Anderson (1971) found that
point of subjective equality (PSE) decreased with greater target-inducer distances, with the farthest
distances failing to affect the perceived size of the target at all. Other work (Girgus et al., 1972;
Jaeger, 1978; Roberts et al., 2005; Weintraub, 1979) also showed that target-inducer distance mod-
ulates the illusion, but with an unexpected reversal of the effect of small inducers in some config-
urations. That is, a sufficiently large distance between the target and small inducers causes the target
to appear smaller, not larger, compared to control. Similarly, Roberts et al. (2005) found that even
when controlling for completeness, increasing the target-inducer distance reversed the effect of
small inducers, making the target appear smaller rather than larger. In contrast, large inducers
always elicited a perceived shrinkage of the target, and this effect only became stronger with
inducer-target distance. These findings demonstrate that to describe the Ebbinghaus illusion as
an example of “size-contrast” is an oversimplification.
Contour-based accounts (Jaeger, 1978; Jaeger & Long, 2007; Jaeger & Lorden, 1980; Sherman &
Chouinard, 2016; Todorović & Jovanović, 2018; Weintraub, 1979; Weintraub & Schneck, 1986) are
explanations based on interactions between the low-level contours that make up a stimulus. On the
whole, these theories account better for the experimental evidence. Biphasic contour-interaction
theory (BCIT) is one such account (Roberts et al., 2005; Sherman & Chouinard, 2016; Weintraub
& Schneck, 1986). In contrast to the mid-level size comparison mechanism needed for a size-contrast
account, the premise of BCIT explains the illusion in terms of low-level representations of contours:
Nearby contours are attracted, whereas distant contours repel each other, hence the effect is
“biphasic.” Roberts and colleagues’ (2005) findings are consistent with this theory, with their data
showing a tendency for Ebbinghaus inducers to make the target appear smaller as target-inducer dis-
tance is increased. They found a similar effect with the Delboeuf illusion. Relatedly, Sherman and
Chouinard (2016) showed a correlation between the Delboeuf illusion and Ebbinghaus illusion.
They argue this is incompatible with a size-contrast account because the ring in the Delboeuf illusion
is always larger than the target. Todorović and Jovanović (2018) addressed the size-contrast theory
more directly by using a novel stimulus. They found that increasing the number of small inducers
in an Ebbinghaus configuration can counterintuitively eliminate the illusion if the target is embedded
in a grid of inducers (also see Jaeger & Klahs, 2015). Their finding disputes a size-contrast account
that predicts more inducers to amplify the size contrast between the inducers and the target, while
supporting a BCIT-based explanation, which posits that attractive and repellent effects of contours
located at varying distances from the target cancel out.
Nevertheless, BCIT does not offer a complete explanation of the Ebbinghaus illusion. BCIT
cannot explain the effect of similarity between inducers and targets when the distribution of near
and far contours are controlled for (Coren & Miller, 1974; Deni & Brigner, 1997). As others
have noted, there are often multiple contributing factors to visual illusions (Coren & Girgus,
1978), and it is possible that the Ebbinghaus illusion may represent the outcome of several distinct
processes along the visual stream. Importantly, Rose and Bressan (2002) replicated the similarity
effect and further showed that illusion magnitude was boosted only when both inducers and
targets were circles or triangles, but not hexagons or irregular angular shapes. This disputes size
contrast
is based on the sum of
Euclidean distances between contours. Considering this, contour-interaction seems to be a neces-
sary but insufficient factor in the Ebbingaus illusion. As Rose and Bressan and others (Coren &
Girgus, 1978; Schwarzkopf, 2015) have pointed out,
the
Ebbinghaus illusion may incorporate non-linear effects arising from top-down feedback, or even
multiple contributing mechanisms.
theories, as well as any contour-interaction account
the complete explanation of
that
462
Perception 52(7)
Neural Correlates of the Ebbinghaus Illusion
Converging evidence suggests that the effect of inducers on perceived size of the target is mediated
by processes located in V1. Illusion magnitude was reduced—but not abolished—when inducers
and target were shown to separate eyes (Song et al., 2011); indicative of a cortical mechanism in
V1 where there are still many monocular neurons, although this cannot rule out a contribution
from higher visual areas. Additionally, Schwarzkopf et al. (2011) used functional magnetic reson-
ance imaging (fMRI) and retinotopic mapping to show that functional primary visual cortex (V1)
surface area can predict Ebbinghaus PSE. V1’s selectivity for local contrast edges makes it a likely
candidate site for mediating low-level interactions as posited by the contour-interaction account.
They used the classical Ebbinghaus illusion, where observers judged the difference in target size
between a large-inducer and small-inducer configuration. In a follow-up study, Schwarzkopf and
Rees (2013) also found a correlation between V1 area and the PSEs for large and small inducers
tested separately. Both Ebbinghaus configurations made the target appear relatively larger in indi-
viduals with small V1s. The authors surmised this may indicate the effect of local circuits within
V1, which are contingent on cortical distance. This could represent an attenuation of the effects
of these circuits at greater distances or because of the time taken by those signals to propagate.
Moreover, while large inducers reliably made the target appear smaller, small inducers made the
target appear larger for some and smaller for other observers depending on their V1 surface
area. Relatedly, Moutsiana et al. (2016) found that the expansive effect of the Delboeuf illusion
is enhanced when it is encoded by larger population receptive fields (pRFs) in V1 (Harvey &
Dumoulin, 2011). This was true both within observers with variation of pRF size across the
visual field, and between individuals with different pRF sizes. While not able to explain the repul-
sive effect between contours, these results and those of Schwarzkopf et al. (2011) can be concep-
tualized as indicative of an antagonistic center-surround field of local interactions that defines a
gradient of modulation based on cortical distance (Schwarzkopf, 2015). When target-inducer dis-
tance is small, there is an attractive effect, and the target appears larger. Conversely, when the dis-
tance is large the repulsive effect dominates, and the target appears smaller. In between is a point of
equilibrium where inducers would have neither an attractive nor repulsive effect. The sign change
of the illusion with small inducers across observers is consistent with this theory.
In the Current Work
While Schwarzkopf and Rees (2013) and prior work (Schwarzkopf et al., 2011) has shown evi-
dence that the Ebbinghaus illusion depends on between-subject differences in cortical topography,
the present work looks at the effect of varying cortical target-inducer distance within individuals. As
such, we manipulate cortical distance in two ways: by varying the retinal target-inducer distance in
visual space (Experiment 1), and by varying the eccentricity of stimuli when target-inducer distance
is constant (Experiment 2). If proximity of contours affects the illusion as described by
Schwarzkopf and Rees (2013) then reduced cortical distance will modulate the illusion so that
the target appears larger.
Furthermore, an account of the Ebbinghaus illusion based on cortical distance should also
explain the difference in PSEs between large- and small-inducer Ebbinghaus configurations.
Proponents of contour-based accounts (Sherman & Chouinard, 2016; Todorović & Jovanović ,
2018; Weintraub, 1979) claim that large inducers cause a repulsive effect because they possess
both near and far contours, while small inducers do not. In Experiments 3a and 3b we investigate
this claim by using single- and double-ring configurations of the Delboeuf illusion. To draw further
comparisons with the Ebbinghaus illusion, we also varied the retinal distance between targets and
surround as in Experiment 1. If it is true that large inducers in the Ebbinghaus illusion cause
Urale and Schwarzkopf
463
Figure 2. Trial procedure for Experiments 1, 2, 3a, and 3b. (A) Edge-to-edge inducer/ring distance(s) from
reference target across experiments. (B) Trial sequence for Experiments 1 and 3a/3b. Observers maintained
fixation on a cross before being shown reference and test intervals. The target in the test interval changed
according to a staircase procedure. The order of these two intervals was counterbalanced across the
experiment. Following these observers made a size comparison of targets in the two intervals. (C) Trial
sequence for Experiment 2. This was like the other two experiments, except the first interval was preceded
by an exogenous cue that indicated where the stimuli would appear, and gaze position was monitored using
eye-tracking. Stimuli in the first and second intervals appeared above and below the horizontal meridian,
respectively.
repulsion because of the antagonistic effect of near and far contours, then we should observe a
similar effect with the addition of a second ring in the Delboeuf illusion (Figure 2).
Experiment 1
In Experiment 1 we varied the retinal distance between the target and the inducer. Varying the
retinal distance entails changes in distances between representations of visual elements across
the visual stream. This is evident in topographically organized areas such as V1 and V2, where
we would expect an increase of cortical distance between representations with retinal distance.
Our study here is a conceptual replication of the study by Roberts et al. (2005), who varied the dis-
tance between inducers/annuli and the target for the Ebbinghaus and Delboeuf illusions, respect-
ively. In that study, both inducers and annuli made the target appear smaller at farther distances
compared to closer distances. More recently, Knol et al. (2015) also varied the Ebbinghaus illusion
along various dimensions, including target size, inducer size, and target-inducer distance, finding
enlargement in cases where small- or medium-sized targets (∼0.5° and ∼1°) were displayed with
inducers at short distances. In our study we used a similar manipulation with the addition of
some key differences. Firstly, we included shorter target-inducer distances compared to both
studies. In Roberts and colleagues’ study, the closest target-inducer distance was 1.9° for small
464
Perception 52(7)
inducers, and 2.53° for large inducers. Our study used a minimum distance of 0.14° for both inducer
types. Furthermore, Roberts and colleagues limited the target-inducer distance since a closer dis-
tance would require overlap between large inducers. In our study, we allowed inducers to
overlap to achieve a short target-inducer distance. The inclusion of this smallest distance tests a
key hypothesis posited by Schwarzkopf and Rees (2013) who proposed that large inducers could
make the target appear larger if sufficiently close. Secondly, we showed stimuli close to fixation
in two temporal intervals. Most other studies testing the Ebbinghaus illusion typically use a 2-alter-
native forced-choice task (like ours, but where two stimuli are presented simultaneously side by
side (in opposite hemifields) and are either flashed briefly (Schwarzkopf & Rees, 2013; Song
et al., 2013) or remain on screen until the observer responds (Knol et al., 2015; Roberts et al.,
2005; Todorović & Jovanović , 2018). Presenting stimuli in close proximity in separate intervals
removes the need to split attention across the two stimulus locations and reduces the possibility
of crowding effects of peripherally located stimuli.
Materials and Methods
Participants. We recruited 12 observers (8 females, age range 21–50), all with normal or
corrected-to-normal visual acuity. Observers provided written and informed consent and all proce-
dures were approved by the University of Auckland Human Participants Ethics Committee
(UAHPEC).
Experimental Setup. Stimuli were displayed on a 621 × 341 mm LCD monitor (Expt-1: Dell,
S2817Q, USA; Expt-2: Samsung, U28D590D, South Korea), at a resolution of 3840 × 2160 ×
8-bit resolution running 60 Hz. Monitors were linearized in software based on measurements
made with a photometer (LS100, Konica Minolta, Japan). Stimuli were generated using program-
ming environment MATLAB (version 2017B, MathWorks Inc.) and Psychtoolbox 3 (Brainard,
1997; Kleiner et al., 2007; Pelli, 1997) using customized scripts. Observers’ heads were stabilized
with a chin rest.
Stimuli. A single trial consisted of two stimuli: a reference stimulus, consisting of a target (always
0.56° diameter) and a surround, depending on the condition of the given trial, and a test stimulus,
which consisted of only a target which varied in size according to an adaptive staircase procedure
(see below). Stimuli were presented on a grey (175 cd/m2) background. Targets were always filled,
white circles (341 cd/m2) inducers were white outlined circles with a ∼0.08° stroke and had dia-
meters of 0.84° and 0.2° for large and small inducers, respectively. Example stimuli can be seen
in Figure 3. The edge-to-edge distance between the target and inducers (target-inducer distance)
could be one of seven possible distances: 0.14°, 0.42°, 0.7°, 1.13°, 1.55°, 2.25°, and 4.5°. In add-
ition, there was a control condition without inducers. All Ebbinghaus configurations in both experi-
ments had eight inducers, and large inducers were allowed to overlap in conditions with very short
target-inducer distances. The centers of inducers were positioned at evenly spaced radial positions
relative to the target ranging from 0° to 315° in steps of 45°. Targets in each interval were shown at
a horizontally offset position relative to fixation (see “Procedure” section), so in the 0.42° condition
some individual inducers above and below the target overlapped the vertical meridian.
Procedure. Observers completed a single session lasting roughly 45 min seated in a darkened room
seated at a distance of 82 cm from the screen.
Observers were given a brief verbal description of the task prior to commencement of testing.
They were told to maintain fixation on a cross (0.05° × 0.05°) in the center of the monitor through-
out each block. Blocks consisted of 100 trials and were separated by a rest period of at least 30 s. All
Urale and Schwarzkopf
465
Figure 3. Example stimuli at various target-inducer edge-to-edge distances. (A) Large inducer Ebbinghaus
configuration at 0.14° and (B) 4.5°. (C) Small inducer configuration 0.14° and (D) 4.5°. (E) Delboeuf
configuration with single ring at 0.14° and (F) 4.5°. (G) Two ring Delboeuf configuration, at 0.14°.
stimuli were presented on a half-tone background. On each trial, stimuli were displayed sequen-
tially with the target centered at 0.42° either left or right of fixation. The first interval always
appeared just to the left of fixation, followed by the stimulus in the second interval which appeared
to the right. The order of the presentation of the reference and test stimuli was decided pseudo-
randomly on a per-trial basis.
At the beginning of each trial, observers saw a blank (fixation only) screen for 500 milliseconds
(ms) before seeing one stimulus for ∼100 ms, followed by a blank screen again for 500 ms before
the final stimulus for ∼100 ms. They were told that they would be able to respond following pres-
entation of all stimuli. Observers pressed the left or right keyboard button to indicate whether the
left or right stimulus was larger or smaller. In alternating blocks, observers were instructed to either
indicate the target that appeared larger or smaller. They were also told to ignore the inducers. In case
of any prior knowledge of the Ebbinghaus illusion, observers were instructed to report on their
prima facie experience instead of what they anticipated the correct answer to be. Pressing a
button to indicate their response immediately began the next trial. The ratio of the test stimulus
diameter relative to the reference diameter was varied using a 1-up-1-down staircase procedure.
The procedure was used to determine the PSE for each condition. With two Ebbinghaus configura-
tions, seven target-inducer distances, and a control condition, there were a total of 15 conditions.
There were two staircases for each condition, progressing in steps on a binary logarithmic scale.
We chose to use a binary logarithm because it linearizes stimulus size increments in line with
Weber’s Law. Adjusting sizes in proportions, rather than a binary logarithmic scale as we do
here, would be mathematically unsound as the non-linearity of the stimulus size ratios will theor-
etically skew statistical and curve fitting analyses. As an example, a stimulus half the size of the
reference will have a ratio of 0.5, while a stimulus of the equivalent larger size will have a ratio
of 2. The arithmetic mean of these values would be 1.25 above a ratio of 1. However, these two
sizes are linearly comparable when represented as binary logarithmic units, that is, −1 (2−1) and
1 (21), respectively. Moreover, in logarithmic units, 0 corresponds to the absence of an illusion
(i.e., a size ratio of 1). Nevertheless, some readers might find it difficult to interpret logarithmic
units; we therefore plot our results in linear units of degrees of visual angle but this is done
purely for visualization.
On a given trial, the size of the test stimulus in degrees of visual angle was 0.56 × 2g. The stair-
case was varied by adjusting g. For each condition, one staircase began with a test diameter 0.2g
466
Perception 52(7)
larger than the reference target (i.e., ∼115% of the reference target diameter), and the other 0.2g
smaller (i.e., ∼87% of the reference target diameter). The step size of the staircase varied depending
on the number of reversals: 0.1g for trials up until the 2nd reversal, then 0.075 until the 4th reversal,
followed by 0.05 until the 8th reversal, and then 0.025 for the remaining reversals (25 in total).
Trials from each of the 30 staircases were randomly interleaved and discontinued after the requisite
number of reversals. The experiment ended when all staircases were complete.
We calculated the PSE across conditions for each observer by fitting a cumulative Gaussian psy-
chometric function to each condition using the weighted stimulus levels and responses from both
staircases (R2 ≥ 0.98 for all fits for the present experiment and fits for psychometric functions in all
subsequent experiments in this work). Assigned weighting to each data point was proportionate to
the number of trials occurring at that stimulus level. All PSEs were taken as the 50% point of that
function. To test the validity of our estimates we compared these values to PSEs calculated by
taking the average size of the stimulus level during the last 8 reversals across both staircases for
each condition, excluding values beyond twice the median absolute deviation in either direction.
Using either method did not meaningfully change the pattern of results or conclusions of this manu-
script. We chose a psychometric fit across all experiments as it is a more sensitive and theoretically
grounded analysis.
Results and Discussion
Figure 4 shows the group-level average PSEs for Experiment 1. Prior to analysis, we subtracted the
PSE in the control condition from the PSE for both inducer conditions at each distance. These base-
lined PSEs were used in all subsequent analyses. For both large and small inducers, we fit a power
function of the form axb + c, where a, b, and c are free parameters and x is target-inducer distance.
We used a bootstrap technique to calculate the 95% confidence bands for this function by randomly
selecting a sample of 12 (with replacement) from the pool of observers and then re-calculating the
group means and re-fitting the power function to the new sample. This was repeated for a total of
10,000 times for each inducer type. We calculated goodness-of-fit measures for both small, R2 =
.838, and large inducers, R2 = .732, as well as observed model parameters (Supplemental
Table 1). A plot containing individual-observer model fits can be viewed in Supplemental
Figure 1. In addition to the power function shown here, we also performed the same analysis
with a two-term exponential function of the form aebx + cedx. We chose this as an alternative
model because of the known exponential relationship between eccentricity and cortical magnifica-
tion (Duncan & Boynton’s, 2003). This model performed well with small inducers but we chose a
power model here because the exponential model performed poorly with large inducers (see
Supplemental Table 2).
Our results support our hypothesis that shorter target-inducer distances lead to an increase in per-
ceived target size (larger, positive PSEs). For targets surrounded by small inducers, there was a clear
uptick in PSEs for shorter distances. Moreover, with enough distance the sign of illusion inverted.
The pattern for large inducers was more ambiguous. At all target-inducer distances, PSEs were
negative, meaning the target was perceived as smaller. Importantly, our results also showed that
the basic Ebbinghaus effect occurs with our novel presentation procedure where stimuli are pre-
sented near the fovea in separate temporal intervals.
Schwarzkopf and Rees (2013) hypothesized that at a short enough distance to the target, large
inducers could make the target appear larger. We tested this by allowing large inducers to overlap
and display at a distance much closer to the target compared to Roberts et al.’s (2005) study. Our
results did not support this hypothesis, with a modest increase in PSE when large inducers were
very close to the target. This may be due to the attractive effect of the nearer contours in large indu-
cers being counteracted by contours on the far side of the inducers (Todorović & Jovanović , 2018),
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467
Figure 4. Group mean PSEs across target-inducer retinal distances in Experiment 1. The horizontal dotted
black line indicates the size of the reference stimulus, that is, the absence of any illusion. Solid and dashed lines
are the fit to the data for the small- and large-inducer conditions, respectively. Shaded regions show the 95%
bootstrapped bands for the power functions for each inducer type. Error bars indicate ±1 standard error of
the mean across observers. “dva” = degrees of visual angle.
but may also reflect an unanticipated effect of allowing large inducers to overlap at short distances
from the target. Specifically, this would also reduce the figural similarity between the inducers and
the target, which has been shown to affect the strength of the illusion (Choplin & Medin, 1999;
Coren & Enns, 1993; Deni & Brigner, 1997; Jaeger & Guenzel, 2001; Rose & Bressan, 2002).
Generally, our results bear important similarities and differences compared with the results of
Roberts et al. (2005). Their study also found a similar pattern when increasing target-inducer dis-
tance with large and small inducer conditions. However, they found a more reliable reduction in
PSEs at greater target-inducer distances compared to our study. Unlike Roberts et al. we did not
vary the numbers of inducers to always form a complete ring around the target, so this discrepancy
may reflect lower stimulus energy due to the large distances between them. In both studies, the illu-
sion for small inducers does invert at greater differences, although the crossover point for Roberts
et al.’s study (∼3–3.25°) differs considerably to the crossover seen here (∼1.2°). This may be due to
changes in illusion strength related to overall stimulus size, a factor shown to reliably effect illusion
strength in other studies (Knol et al., 2015; Massaro & Anderson, 1971).
Given that sequential presentation of the elements of the Ebbinghaus illusion can reduce the illu-
sion magnitude (Jaeger & Pollack, 1977), a potential concern stems from our choice to present stimuli
at nearby locations. Potentially, an afterimage from the target or inducers from the first interval could
affect perception of the second interval; a persistent image of a target may enhance perceived simi-
larity with a second target, and residual images of inducers may introduce an illusory effect on a lone
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Perception 52(7)
target in the second interval. However, we think these concerns are unlikely for the following reasons.
Firstly, observers (including the two authors) did not report seeing afterimages. Secondly, we delib-
erately offset each interval horizontally (and vertically in Experiment 2, see below), which should
reduce the ability for any direct comparisons between stimuli. Thirdly, the temporal order of reference
and test stimuli were counterbalanced, meaning any effect of inducers in the first interval would be
counteracted by trials where the inducer condition was in the second interval.
Experiment 1 supports the hypothesized relationship between distance in visual space and PSE
in the Ebbinghaus illusion. Specifically, we predicted that for a given inducer type (i.e., small, large)
as cortical distance between target and inducers decreases, perceived size of the target should
increase. We observed this effect, albeit more clearly for small inducers. In Experiment 2 we test
the relationship between the Ebbinghaus and cortical distance further by taking advantage of the
change in cortical magnification across the visual field.
Experiment 2
Cortical magnification in visual cortex falls off with eccentricity (Duncan & Boynton, 2003; Smith
et al., 2001). Ebbinghaus stimuli at greater eccentricities therefore reduce cortical distance between
representations. Chen et al. (2018) found the Ebbinghaus illusion was stronger when observers first
viewed a low-spatial frequency prime compared to a high-spatial frequency prime. Sensitivity to
low-spatial frequencies increases with eccentricity (Henriksson et al., 2008), and categorization
of low-spatial frequency scenes elicits greater activity in brain areas associated with the peripheral
visual field compared to high-spatial frequency scenes (Musel et al., 2013). We hypothesize that
shorter cortical distances between the target and inducers produce an increase in perceived target
size, irrespective of the inducer type. Thus, we should observe generally larger PSEs as stimuli
are moved further into the periphery. The effect of eccentricity on the Ebbinghaus illusion has
been investigated previously by Eymond et al. (2020). In one experiment, observers in their
study compared a foveal test circle with a peripheral or foveal reference circle that was either an
isolated control circle or an Ebbinghaus configuration with large inducers. They found the PSE
for the Ebbinghaus condition did not differ depending on eccentricity while the control condition
appeared smaller in the periphery. While this may initially seem inconsistent with our hypotheses,
observers in their study compared a foveal test stimulus with a peripheral target, and the authors
note there is a general reduction in perceived size when stimuli are placed into the periphery
(Baldwin et al., 2016). Therefore, the lack of an effect of eccentricity on PSE in the Ebbinghaus
illusion in their experiment may indicate that the effects of the inducers are counteracting a reduc-
tion in perceived size in the periphery. Our experiment differs from these studies in two key ways:
Firstly, we test perception of the Ebbinghaus illusion at multiple distances from fixation. This will
allow us to observe graded effects of eccentricity. Secondly, targets in reference and test stimuli
occurred at the same eccentric location. By doing this, account for stimuli varies in size in absolute
terms across the visual field.
Methods
Participants. We recruited 12 observers (10 females, age range 22–53) all with normal or
corrected-to-normal vision. Observers provided written and informed consent and procedures
were approved by UAHPEC.
Experimental Setup. We conducted Experiment 2 on the same experimental setup as Experiment 1
with the addition of an Eyelink 1000 Desktop System eye-tracker (operating at 1,000 Hz; SR
Research).
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469
Stimuli. The retinal dimensions of target and inducer stimuli were identical to Experiment 1. Unlike
Experiment 1, in Experiment 2 retinal target-inducer distances were fixed while we manipulated the
location of the Ebbinghaus stimuli along the visual field’s horizontal meridian. To avoid crowding,
we applied Bouma’s law (Bouma, 1970; Pelli & Tillman, 2008), which states that the absence of
visual crowding effect can be achieved if the retinal distance between the two visual elements is
no less than 50% of the distance between these elements and fixation. Thus, the centers of target
stimuli were positioned at a maximum distance of 4.5° from fixation, dictating a suitable
target-inducer distance of 2.25°. This distance was used for both large and small-inducer configura-
tions. To avoid influence from attentional capture on each trial, the presentation of the stimuli was
preceded by a primer stimulus to alert the observer to the location of the forthcoming stimuli.
Procedure. The procedure for Experiment 2 was mostly the same as Experiment 1, except that the
retinal distance between target and inducers was kept constant while the distance between the loca-
tion of the target and foveal vision was manipulated.
Observers sat in a dimly lit room where they positioned their head on a headrest and chinrest
apparatus located in front of a computer monitor where they performed a 9-point calibration
routine for the eye-tracker. The experimenter verbally instructed observers to maintain fixation
on the fixation cross located in the center of the screen, that the eye-tracker was tracking their
eyes, and to try to avoid blinking during stimulus presentation time.
Each trial began with presentation of a fixation cross. On a given trial the test and reference target
stimuli could either occur at fixation or at an eccentric location close to the horizontal meridian.
Eccentric locations could occur either to the left or right hemifield. Exogenous cueing can affect
perceived size in the objects in the periphery (Kirsch et al., 2020), so to avoid any extraneous
effects of attentional re-orienting, we ensured that attentional allocation was consistent across con-
ditions. We did this with an exogenous cueing stimulus: If on the current trial the target and test
targets were to appear at an eccentric location, they were preceded by “×” shaped cue (0.3° ×
0.3°) at the location of the forthcoming reference and test stimuli. This cue appeared for 100 ms,
followed by a 500 ms interval of only the fixation cross again, followed by the reference and
test intervals. The order of test and reference intervals was pseudo-randomly determined on a
trial-by-trial basis. Just as in Experiment 1, the reference target stimulus could be either the
large- or small-inducer Ebbinghaus configurations or the control stimulus with no inducers, each
with a 0.56° diameter target circle. The test stimulus varied according to the same staircase proced-
ure described in Experiment 1. Each interval lasted 100 ms, separated by a 500 ms interval.
Unlike Experiment 1, we offset the location of reference and test target in a vertical (rather than
horizontal) orientation to avoid extraneous effects of one stimulus occurring at a more central loca-
tion than the other. Thus, the center of the target circles in the first and second interval always
appeared 0.2° above and below the horizontal meridian, respectively.
We used the eye-tracker to ensure observers were always looking at fixation during presentation
of the reference and test stimuli: A trial would be aborted if, during the reference and stimulus inter-
vals, the observer blinked or if their gaze was tracked as deviating more than 1° from fixation. We
performed a single-point drift-correction procedure between each 100-trial block.
If the reference and test intervals ran to completion, observers were again shown a fixation cross
while they responded by pressing a keyboard button to indicate whether they thought the target in
the first (top) or second (bottom) interval was larger or smaller, depending on the instructions of the
current block. This response period was untimed and giving a response would immediately initiate
the next trial. Consequently, observers were asked to blink and orient their gaze to the fixation cross
before giving their response. If the trial was aborted due to blinking or looking away from fixation,
the screen would show the fixation cross for 500 ms before initiating the next trial.
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Perception 52(7)
There were 12 conditions in total with a 3 × 4 design: three types of inducer conditions (large,
small, no inducers) and four eccentricities (0°, 1.69°, 2.8°, and 4.5°). There were two staircases for
each of these conditions that operated as in Experiment 1. A given staircase ended after 25 reversals
and the whole experiment ended when all staircases reached completion. Each block of trials ended
after 100 trials or if all staircases were completed, ending the experiment.
We calculated PSEs for each condition using the same procedure as Experiment 1.
Results and Discussion
As before, for a given eccentricity we subtracted the PSE for the control condition from the PSE for
both inducer conditions. These baselined PSEs were used in all subsequent analyses. Figure 5
shows the group-level average PSEs for Experiment 2. Our analysis was to investigate whether
PSEs increased or decreased with target eccentricity, and for this purpose we determined a linear
function of
function used in
Experiment 1. We fit this to the small, R2 = .732, and large, R2 = .839, inducer conditions.
Confidence bounds were generated using the same procedure as Experiment 1 and can be found
in Supplemental Table 1. Generally, the target appeared larger as target-fixation distance increased,
the form y = a + bx as appropriate,
than the power
rather
Figure 5. Group mean PSEs (illusion magnitude) across target-fixation retinal distances (eccentricity) in
Experiment 2 (units as in Figure 4). The horizontal dotted black line indicates the size of the reference
stimulus, that is, the absence of any illusion. Shaded regions show the 95% bootstrapped bands for the linear
fit to both types of inducers. Solid and dashed lines show fit to small- and large-inducer conditions,
respectively. Error bars indicate ±1 standard error of the mean across observers. “dva” = degrees of visual
angle.
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471
although this effect was not observed to the same extent in large inducers. We see this in the con-
fidence interval for the slope parameter for large inducers, b = 0.009 (95% CI [0.025, −0.01]),
which overlapped zero. This indicates that there is no clear direction (either positive or negative)
of the slope representing the relationship between eccentricity and PSE in the large-inducer condi-
tion, and that the slope itself is close to zero. However, the interval for small inducers did not cross
zero, b = 0.031 (95% CI [0.0445, 0.0166]), indicating a reliable positive relationship between
eccentricity and PSE as determined by our bootstrap procedure. We also observed that for some
observers the PSE for small inducers switched sign as target-fixation distance increased, in line
with our findings while increasing target-inducer distance in Experiment 1.
Cortical Distance and PSE. We looked at the effect of cortical distance on the Ebbinghaus illusion.
Our approach takes inspiration from Mareschal et al.’s (2010) investigation of the effect of cortical
distance on the tilt illusion. The tilt illusion (Gibson, 1937) is an illusion where the perceived tilt of
a target line is influenced by the angle of surrounding lines. Mareschal and colleagues estimated
cortical distance between target and surround across various retinal distances and concluded that
the strength of the tilt illusion increases with cortical proximity. In a similar way, estimates of cor-
tical distance allow us to investigate the relationship between cortical distance and PSE in
Experiments 1 and 2. To do this, we chose to estimate linear cortical magnification factor (M ),
which is the millimeters of cortex per degree of visual angle (Daniel & Whitteridge, 1961),
using Duncan and Boynton’s (2003) formula: M = 9.81 × δ−.083, where δ denotes eccentricity in
degrees of visual angle. By subtracting M between two different points (see Mareschal et al.,
2010), we can estimate of the cortical distance between inducers and target across inducer condi-
tions and experiments. For stimuli presented at fixation, all inducers in each configuration were
equidistant to the target both in terms of visual space and cortical distance. However, when
stimuli were presented at parafoveal locations in Experiment 2, the distances between individual
inducers and the target were asymmetric; for example, cortical distance from the target is greater
for the inducers positioned closer to fixation compared to the more peripherally located inducers.
To capture these variations, we calculated an index of cortical distance for each condition based
on the average edge-to-edge cortical distance between the nearest edge of all eight inducers and
the target.
We plot the estimates of cortical distance against PSE in Figure 6. We used a bootstrap method
to plot confidence bands by taking 10,000 resamples (with replacement) of observers’ PSEs across
both experiments. For the observed and each iteration of the bootstrapped data, we fit a linear func-
tion of the form y = a + bx, where a is the intercept, and b is the slope coefficient. This was per-
formed separately for both target-fixation distance and estimated cortical distance. We chose a
linear function as a parsimonious way to characterize a simple relationship between two variables.
Cortical distance predicted PSE for both small inducers, R2 = .876, and large inducers, R2 = .304.
For the relationship between cortical distance and PSE, slope coefficients (b) for the large and
small inducers were −0.01 (95% CI [−0.003, −0.017]) and −0.022 (95% CI [−0.016, −0.028]),
respectively. We also ran the same procedure with a Difference-of-Gaussians (DoG) model (see
Equation 1), in accordance with our theoretical expectations and to maintain consistency with
the analysis in Experiments 3a and 3b (see below). The goodness-of-fit and parameter values
(including confidence intervals derived from the bootstrap procedure) can be found in
Supplemental Table 3. Upon visual inspection and comparison of goodness-of-fit estimates, we
determined that the linear model was a better fit to the data from Experiments 1 and 2. This
could be because the data points in the Ebbinghaus experiments fell within the steep portion of
this function.
Encouragingly, the two separate methods of manipulating cortical distance between target and
inducers had comparable effects on the illusion strength. We observed agreement between PSEs
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Perception 52(7)
Figure 6. Group mean PSE as a function of estimated cortical distance. The horizontal dashed black line
indicates the size of the reference stimulus, that is, the absence of any illusion. Small and large inducers are
shown as circles and triangles, and PSEs from Experiment 1 and 2 are denoted by open and filled symbols,
respectively. The size of the filled symbols denotes eccentricity in Experiment 2. Error bars indicate standard
error (1±) of the mean across observers. Confidence bounds show the 95% upper and lower bounds of the
line fit, produced from the bootstrap procedure. “dva” = degrees of visual angle, “mm” = millimeters.
across the two experiments in conditions with similar cortical distance estimates, particularly for the
small-inducer condition. Specifically, in Figure 6, markers at a similar position on the x axis, irre-
spective of experiment, have similar PSEs. We observed a negative correlation between cortical
distance and Ebbinghaus PSE in both large and small inducers, such that smaller cortical distance
corresponded to larger perceived target size. These findings are consistent with the predictions
based on previous neuroimaging work showing that smaller cortical extents associate with larger
PSEs (Schwarzkopf et al., 2011) and especially perceptually larger stimuli (Schwarzkopf &
Rees, 2013). Moreover, the shallower slope seen in the large inducer condition mirrors the
results from Experiment 1. This may reflect non-linear interactions between the target and inducers
due to antagonistic effects of the near and far contours in large inducers (Todorović & Jovanović ,
2018). Mareschal et al.’s (2010) study also described opponent processes, which, in the context of
the tilt illusion, were antagonistic “repulsive” and “assimilative” forces. These same mechanisms
may account for repulsion and attraction in the Ebbinghaus illusion.
Experiments 3a and 3b
In the next experiment, we investigate why large and small inducers have contrasting effects on
perceived target size. We saw support in Experiments 1 and 2 for the link between PSE and
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473
estimated cortical distance, but they also replicated the different perceptual effects of large and
small inducers. As these results and others (Roberts et al., 2005; Sherman & Chouinard, 2016;
Todorović & Jovanović , 2018) have shown, this disparity is unlikely to be caused by a hypothetical
size-contrast effect originating in mid or high-level vision. An alternative account is that these dif-
ferences are driven by opponent processes which depend on the spatial (or cortical) extent of con-
tours around the target. As others have stated (Rose & Bressan, 2002), contour-based accounts offer
an incomplete account of the Ebbinghaus illusion, but it may be necessary. Proponents of accounts
such as BCIT hold that this difference can be explained in terms of low-level contour interactions
(Jaeger, 1978; Jaeger & Grasso, 1993; Sherman & Chouinard, 2016; Todorović & Jovanović , 2018;
Weintraub, 1979; Weintraub et al., 1969; Weintraub & Schneck, 1986). The “biphasic” element of
BCIT (Sherman & Chouinard, 2016) stipulates that contours nearer to the target have an attractive
effect, while contours at more distance locations repel the target. Thus, the reason large inducers
make the target look smaller is because large inducers have additional contours at farther distances
from the target. An alternative account for these differences sees them as driven by higher level-
categorization of inducers as whole objects beyond simple size contrast (Knol et al., 2015; Rose
& Bressan, 2002).
We test the effect of additional contours with the Delboeuf illusion (Delboeuf, 1865; Evans,
1995), an illusion in which perceived target size is affected by the proximity of a ring surrounding
the target. The Delboeuf illusion is suitable for this purpose because it likely shares a common
mechanism with the Ebbinghaus illusion. Supporting this, both Pressey (1977) and Sherman and
Chouinard (2016) found that the two illusions share around a quarter of their variability. In
another study, Roberts et al. (2005) found that a complete ring comprised of small Ebbinghaus
inducers had the same illusory effect as a Delboeuf ring at a range of distances from the target.
Accordingly, if negative PSEs associated with large inducers in the Ebbinghaus illusion are due
to near and far contour placement, and if the Delboeuf and Ebbinghaus share a common mechan-
ism, the simple addition of another ring in the Delboeuf illusion (Figure 3) should resemble the
effect of large inducers in the Ebbinghaus illusion, such that we observe a downward shift in
PSE. We test this hypothesis in Experiment 3a (henceforth “3a”).
In Experiment 3a we observed that PSE did not trend towards zero with greater target-ring dis-
tances (see “Results and discussion” section). The interaction between the surround and the target in
the Ebbinghaus illusion has been conceptualized as sombrero-shaped center-surround of contextual
interactions (Schwarzkopf, 2015), and in such a model we would expect the contextual effects to
diminish to zero as it approaches the “brim” of the hat (i.e., the boundaries of any suppressive
effect). To this end, in Experiment 3b (henceforth “3b”) we increased the ring-target distance
further to observe if its effect on the target attenuates at even farther target-ring distances.
Methods
Participants. We recruited 12 volunteers (seven females, age range 22–49) for 3a and 14 volunteers
(9 females, 21–52) for 3b, all with normal or corrected-to-normal vision. Observers provided
written and informed consent, and procedures were approved by UAHPEC.
Experimental Setup. The experimental setup for 3a was identical to Experiment 1. In order to cover
an area of the visual field ∼40° in diameter, we reduced the viewing distance 3b from 82 to 42 cm.
Stimuli. In both experiments, the reference-interval stimuli consisted of a central circle (0.56° in
diameter) with either a single- or double-ring configuration in 3a (see Figure 3) and a single-ring
only condition in 3b. Rings in both experiments had a thickness of ∼0.04°.
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Perception 52(7)
For 3a, on a given trial the inner-ring of the double-ring condition could be one of several dis-
tances from the edge of the central circle: 0.14°, 0.44°, .7°, 1.13°, 1.55°, 2.25°, and 4.5°. The dis-
tances were the same for the single-ring configuration, with the addition of a 5.34° condition (i.e.,
the distance of the outer ring in the double-ring condition at 4.5°). The distance between the borders
of the inner and outer rings was always 0.84°. We chose this distance to match the diameter of the
large inducers from Experiment 1, and in doing so emulate the antagonistic effects of near and far
contours in those stimuli. Experiment 3b featured the single ring conditions at the following dis-
tances: 0.14°, 11°, 15°, and 20°.
Procedure. The procedures for both experiments were the same as Experiment 1 (see Figure 2).
Observers typically completed the experiment in 45 min for Experiment 3a, and 20 min for 3b.
Results and Discussion
Prior to analysis, we again subtracted the PSE from the control condition from all other conditions
and used those baselined PSEs for all subsequent analyses. Figure 7 shows the group-level average
PSEs for 3a and 3b as a function of target-ring distance in degrees of visual angle and estimated
cortical distance. We also plotted data from Experiments 3a and 3b separately, as PSE as a function
of retinal distance and using the same power function used in Experiment 1 (see Supplemental
Figure 5 for plots, and goodness-of-fit and parameter estimates in Supplemental Table 1).
In 3a we used the Delboeuf illusion to determine if the difference between large and small indu-
cers in the Ebbinghaus illusion are explainable as an interplay of near and far contours (Sherman &
Chouinard, 2016; Todorović & Jovanović , 2018). On this basis our results support our hypothesis;
compared to a single ring, the two-ring configuration had the effect of numerically reducing the PSE
(Figure 7). Looking at Figure 7b, this downward shift is most pronounced for cortical distances
between 2 and 8 mm. Biphasic-contour interaction theory explains this as a result of antagonistic
effects of contours, with farther contours working to repulse the percept of the target. At the
largest cortical distances, the two rings probably fall within the same large peripheral receptive
fields. Thus, the two-ring condition may effectively be a single-ring condition at these distances,
only with somewhat increased stimulus energy. Our results also agree with earlier research,
albeit with updated psychophysical methods. For example, with a target-inducer distance compar-
able to our own, Weintraub and Schneck (1986) observed that the target appeared larger when only
the inner-arc of large inducers were visible, but that PSE decreased and eventually changed sign as
the outer fragments of those inducers were filled in with successively more dots. This resembles the
addition of the outside contour in 3a, which we observed as shifting the PSE for most target-ring
distances.
Similarities aside, the effects of the two ring conditions in this experiment and those of small and
large inducers in Experiment 1 (Figure 4) are not an exact match. This may be explained in terms of
a contour-based account, as these two illusions differ in terms of variations in stimulus energy (i.e.,
the amount of contour). Unlike Roberts et al. (2005), we did not modify the number of inducers to
maintain an uninterrupted surround of inducers in our experiments, meaning that at all distances the
Delbouef presented a more complete surround than in Experiment 1. By contrast, Roberts and col-
leagues found that an uninterrupted surround of small inducers affected perceived target size almost
identically to a Delboeuf ring at various distances from the target. The two conditions in 3a had the
same effect at very close distances (0.14°), yet there was a total separation of PSEs between the
large- and small-inducer conditions at that same distance in Experiment 1. This, too, may be attrib-
utable to a difference in stimulus energy because of intermediary contours between the nearest and
farthest edges in large inducers, which are absent in the Delboeuf illusion. Alternatively, the differ-
ence we observe between these two illusions may indicate a contribution of a second mechanism,
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475
Figure 7. Group mean PSEs across target-ring distances in Experiments 3a and 3b as a function of retinal
distance (A) and estimated cortical distance (B). The horizontal dashed black line indicates the size of the
reference stimulus, that is, the absence of any illusion. Solid and dashed colored lines show the
Difference-of-Gaussians (DoG) function fitted to the data for the two-ring and single-ring conditions,
respectively. Shaded regions show the 95% bootstrapped bands for DoG for each inducer type. Error bars
indicate ±1 standard error of the mean across observers. “dva” = degrees of visual angle, “mm” = millimeters.
possibly located higher in the visual stream. We discuss these possibilities further in the General
discussion.
DoG Function. We modelled the relationship between PSE and retinal and cortical distance, respect-
ively, using a DoG function. DoG has been used to model inhibitory signals in extra-classical recep-
tive fields (Cavanaugh et al., 2002), and it can account for the antagonistic center-surround
proposed by Schwarzkopf (2015) and in BCIT (Sherman & Chouinard, 2016; Todorović &
Jovanović , 2018; Weintraub & Schneck, 1986). To model a center-surround, we calculated the
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Perception 52(7)
difference of two Gaussian functions with peaks at zero distance. This took for form of Equation 1,
where values σa, σb, a, and b, are left as free parameters. The DoG function is also used here to
investigate whether the relationship between cortical distance and PSE resembles the hypothesized
profile of an antagonistic center-surround mechanism. We fit this function using a least-squares pro-
cedure and generated 95% confidence bounds using a bootstrap technique with 10,000 repetitions.
A single function was fit to the combined PSEs from the single-ring condition in Experiments 3a
and 3b, and another on the two-ring condition from 3a.
For PSE as a function of retinal distance we fit DoG functions for small ring, R2 = .955, and large
inducer conditions, R2 = .99. For PSE as a function of cortical distance we did the same for the small
ring, R2 = .974, and large ring conditions, R2 = .997.
f (x) = ae
−x2
a − be
2σ2
−x2
2σ2
b
(1)
Equation 1: DoG function
We observe something closely resembling the sagittal cross-section of a sombrero, as described
by Schwarzkopf (2015), with an excitatory center and inhibitory surround (Cavanaugh et al., 2002).
Due to a theoretical interest relating to the cortical point image (see General discussion), we also
calculated zero-crossing for the two functions in Figure 7B (PSE as a function of cortical distance),
with 95% confidence bounds generated from the bootstrapping procedure. That crossing was
5.57 mm (95% CI [6.53 4.25]) for the small ring and 3.65 mm (95% CI [4.76 2.98]) for large
ring condition.
An implication of a putative center-surround zone of interaction (Schwarzkopf, 2015) is a non-
monotonic relationship between cortical distance and PSE. Theoretically, the effect should reduce
to zero at sufficiently large cortical distances as the interaction between contours drops off.
Mareschal et al. (2010) found such a “sombrero” pattern when varying cortical distance in the
tilt illusion. In our study, even the farthest distances in 3b that did not return to zero. In aggregate,
PSEs for distances between 11° and 20° (the three filled green squares on the right side of Figure 7)
averaged slightly closer to zero in log units, that is, no illusion (M = −0.083, SE = 0.029), than the
farthest single-ring condition in 3a (5.34°) (M = −0.123, SE = 0.024), although the difference
between these was not significant, t(24) = 1.045, p = .307. Hence, the PSEs across 3a and 3b
trend towards zero, but the cortical distance necessary to see this is evidently beyond the dimen-
sions we measured. We note that the results from 3b are not inconsistent with a contour-based
account. Specifically, because of cortical magnification (Duncan & Boynton, 2003), the large dis-
tances used in 3b translate to only minor differences in cortical distance compared to 3a (see
Figure 7).
General Discussion
Numerous studies and many theories have been put forward to explain the Ebbinghaus and
Delboeuf illusions (as many as 10; for a review, see Robinson, 1998). Despite that, little is
known about what lies behind the illusion, and where in the brain that mechanism occurs. The
present research adds to a growing body of research pointing to striate cortex as a promising loca-
tion for this substrate. Such work shows that V1 encodes perceived size, like in the cases of the
hallway illusion (Murray et al., 2006), and retinal afterimages projected onto near and far surfaces
(Sperandio et al., 2012). Additionally, there is partial interocular transfer of the Ebbinghaus illusion
(Song et al., 2011), suggesting a cortical process and again implicating V1, as this region is partially
monocular, although of course this could also involve monocular and binocular neurons across mul-
tiple stages of the visual hierarchy (Dougherty et al., 2019). Finally, there is a correlation between
PSE and between-subject variability in cortical magnification (Schwarzkopf et al., 2011;
Urale and Schwarzkopf
477
Schwarzkopf & Rees, 2013). Based on these findings, Schwarzkopf and Rees (2013) and later
Schwarzkopf (2015), raised the possibility that interaction between representations on the topog-
raphy of V1 may be the substrate for the Ebbinghaus illusion, and that these interactions depend
in part on the cortical distance between those interactions. This proposal offers a plausible
neural basis for contour-based accounts of the Ebbinghaus illusions, in which the low-level inter-
actions between contours underlies the effect. To query this theory further, in the first two experi-
ments we tested the effect of cortical magnification on the Ebbinghaus illusion.
Experiment 1 replicated previous work showing that shorter retinal distances between targets
and Ebbinghaus inducers increases PSE (Knol et al., 2015; Roberts et al., 2005). Following this,
Experiment 2 showed that for small inducers PSE increases when the target is positioned more per-
ipherally. The prevailing trend in both experiments is consistent with the predictions that (1) in a
general sense, the Ebbinghaus illusion depends in part on cortical magnification, and the specific
prediction that (2) PSE correlates negatively with cortical distance. We were able to show conver-
ging evidence to support this claim by manipulating cortical distances in two ways: firstly, by
adjusting the retinal distance between target and inducer (Experiment 1), and secondly, by
taking advantage of a reduction in cortical magnification across the visual field and displaying
targets in the periphery (Experiment 2). This culminated in the combined results of both experi-
ments and comparing PSE against the estimated cortical distance between targets and inducers
(Figure 6). In Experiment 3a, we used the Delboeuf illusion to show that, compared to a single-ring
condition, a two-ring condition produced a perceptual shrinkage of the target (PSEs shifted down),
lending support to a biphasic-contour account where more distal contours cause a decrease in the
perceived size of the target.
The attractive or repulsive effect of Ebbinghaus-style inducers may depend on a cortical distance
equivalent to the cortical point image. The point image is the cortical representation of a single point
stimulus expressed in millimeters (Mcllwain, 1986), calculated as the product of the cortical mag-
nification factor and receptive field size. Harvey and Dumoulin (2011) used pRF mapping to show
that the cortical point image is near constant in V1, with only small decreases with eccentricity
(similar findings are reported in non-human primates (Palmer et al., 2012). That is, in V1, there
is a constancy in the ratio between receptive field size and cortical magnification. Looking at the
Ebbinghaus illusion, Schwarzkopf and Rees (2013) found that perceived enlargement of the
target in a small-inducer Ebbinghaus configuration occurred in observers with a relatively small
V1. Using similar calculations to those used here (Duncan & Boynton, 2003), they estimated the
inducer condition) to be
cortical distance between target and inducer in their study (small
∼3.3 mm, falling within the 3–4 mm range of given for point
images in V1 (Harvey &
Dumoulin, 2011). Schwarzkopf and Rees surmised that the stability of the point image across
the cortex indicates “constancy in spatial extent of cortical responses” (p. 11), and that the critical
cortical distance between target and inducers in order for a perceived enlargement (i.e., attraction
between contours) to occur might be equivalent to the cortical point image. Of interest here is
whether a shift between attraction and repulsion occurs at a similar cortical distance in the
present experiments. We estimated cortical distance at which a sign change (i.e., from perceived
smaller to perceived larger) occurs as ∼7.2 mm for the small inducers in Ebbinghaus illusion
(Experiment 1 & Experiment 2). These differ considerably to point image size in V1, which
may reflect influences of surround completeness. Moreover, other studies have shown (Knol
et al., 2015), target size influences PSE, so these differences may also reflect a difference in
overall target size, which was 1.03° in Schwarzkopf and Rees’s study, compared to 0.56° in our
study. Additionally, the arrangement of small inducers in their study were smaller (small inducer
diameter was 26% of target diameter) compared to those used in the current study (35% of
target diameter) and formed a more complete ring around the target compared to our study. The
relative size of each inducer and completeness of the ring formed are known influences on PSE
478
Perception 52(7)
(Roberts et al., 2005). Supporting this is that when we used the Delboeuf illusion, which consists of
an uninterrupted ring, the sign change occurred between ∼5.5 and ∼3.7 mm for the single and
double ring conditions, respectively (Experiment 3), which are closer to the estimates of
Schwarzkopf and Rees. Thus, if the cortical point image is relevant to the magnitude with these
illusions it likely interacts with overall stimulus energy.
Despite our evidence for a link between cortical distance and the Ebbinghaus and Delboeuf illu-
sions, conversion of retinal distances into cortical distance does not completely account for strength
of illusions in other studies. As mentioned above, direct comparisons between the present experi-
ments and those of Schwarzkopf and Rees (2013) and other comparable works (Knol et al., 2015;
Roberts et al., 2005) are complicated by differences in stimulus dimensions and placement. For
instance, Schwarzkopf and Rees (2013), Roberts et al. (2005), and Knol et al. (2015) presented ref-
erence and target stimuli at a distance (distances from fixation to target center: 4.65°, ∼15.2°, and
13°, respectively) at either side of fixation, whereas we (with a few exceptions) presented stimuli at
the same foveal locations at separate intervals. Compared to the experiments here, PSEs are not
affected by cortical distance in the same way in those experiments. For instance, one of the condi-
tions in Knol et al.’s (2015) study showed a repulsive effect of inducers (i.e., the target appeared
larger) with a 0.48° target, a 1.9° target-inducer distance (measured as distance between target
and inducer centers), and inducer radius of 0.09°. Considering the location of the target center in
that condition (15.2° horizontal displacement from fixation) and using Duncan and Boynton’s
(2003) formula, the estimated cortical distance between targets and the nearest edge of the farthest
inducers along the horizontal meridian averages to 0.198 mm. This is well within the range where
attraction occurred in our experiments, yet in their experiment this distance coincided with a shrink-
age of perceived target size.
There are several factors that may account for these differences. Firstly, the stimuli in Roberts
et al. (2005), Schwarzkopf and Rees (2013), and Knol et al. (2015) may have been affected by
crowding effects; all three studies chose horizontal eccentricities and target-inducer spacing was
generally shorter in those experiments than what Bouma’s law (Bouma, 1970) would dictate as
necessary to avoid crowding. Indeed, there is evidence that size perception (as opposed to only rec-
ognition), is affected by crowding (van den Berg et al., 2007). Crowding thus likely interferes with
discriminating peripheral target sizes presented in close proximity to the inducers. This would
render measurements of PSEs more variable and potentially obscures other effects. Knol et al.
and Schwarzkopf and Rees both failed to find substantial repulsive effects on perceived target
size, yet Roberts et al., who used large horizontal displacements of their targets, reported an attract-
ive effect at short target-inducer distances with small inducers, and effect resembling our findings
from Experiment 1 when stimuli were presented at fixation. It is also a distinct possibility that
attractive effects in the illusion and crowding share the same underlying neural mechanism.
When cortical distance is sufficiently large, this would result in a perceptual overestimation of
the target, but when cortical distance is too short it completely disrupts size discrimination.
Finally, are potential differences originating in the task: In addition to greater horizontal displace-
ment, Roberts et al., Schwarzkopf and Rees, and Knol et al. also presented stimuli simultaneously,
while we presented stimuli in separate temporal intervals.
We stress that a low-level contour interaction underlying two size illusions of the nature we
describe here may fall short of providing a complete account of these illusions. Two decades
ago, Rose and Bressan (2002) observed that research with inducers the same size or larger than
the target does not have effects on perceived size consistent with a static zone of repulsion and
attraction (Girgus et al., 1972; Jaeger & Grasso, 1993; Massaro & Anderson, 1971; Weintraub,
1979). This is reflected in the current study, with the large inducer condition being less responsive
than small inducers to manipulations of retinal size and eccentricity in Experiments 1 and 2, respect-
ively. A constant gradient of interaction between contours would not explain this discrepancy
Urale and Schwarzkopf
479
between conditions, even when considering potential antagonistic effects between relatively near
and far contours. This is even more apparent when comparing Experiment 1 (Ebbinghaus illusion)
with Experiment 3 (Delboeuf illusion). We have suggested that these inconsistencies may be attrib-
utable to less consistent spacing (and thus differences in stimulus energy) of Ebbinghaus inducers
versus the continuous ring in the Delboeuf illusion, but mid- and high-level cognitive factors may
also fill this explanatory gap.
Last but not least, several studies suggest that cognitive factors modulate the strength of size illu-
sions, including the Ebbinghaus illusion. For example, Gestalt grouping of a surround reduces PSE
in the Ebbinghaus illusion (Rashal et al., 2020), and several studies have observed that size is
affected by figural similarity between inducers and targets, even while controlling for the proximity
and distribution of contours (Choplin & Medin, 1999; Coren & Enns, 1993; Deni & Brigner, 1997;
Jaeger & Guenzel, 2001; Rose & Bressan, 2002). These figural effects have commonly been
explained in terms of object-level categorization and attention. Indeed, attention in other contexts
has been known to affect perceived size; Kirsch et al. (2020) found that a peripheral target appears
small while attending to a central target. Fang et al. (2008) used fMRI to show that spatial distri-
bution of activity in V1 reflected the perceived size of two attended targets embedded in the hallway
illusion, and that this activity was significantly diminished when attention was narrowed by a
demanding central task. There are also reports that semantic knowledge affects the Ebbinghaus illu-
sion, with objects of a known size biasing their perceived size when surrounded by
Ebbinghaus-style inducers (Hughes & Fernandez-Duque, 2010). This relates to findings that
ventral temporal cortex (Konkle & Oliva, 2012) show selectivity for real-world size of objects,
independent of image transformations. Consistent with known models of predictive processing
across various stages of visual processing (Ballard & Jehee, 2012; Rao & Ballard, 1999), these
size-encoded representations could drive feedback signals that boost predicted signals in earlier
visual areas in V1 consistent with these predictions. Thus, while a mechanism that involves spa-
tially contingent interactions between low-level representations shows promise in explaining
some of the known characteristics of the Ebbinghaus and Delboeuf illusions, more work is
needed to determine whether contour-interaction alone can explain these illusions or if there is a
need for the addition of other (potentially cognitive) mechanisms.
Conclusion
In addition to showing a relationship between cortical distance and the Ebbinghaus illusion
(Schwarzkopf & Rees, 2013), our results broadly support biphasic contour-based accounts of the
Ebbinghaus and Delboeuf illusions. Specifically, shorter cortical distances between inducers and
target in the Ebbinghaus illusion, whether due to retinal distance (Experiment 1) or cortical mag-
nification (Experiment 2), associate with perceptual enlargement of the target. We did not
confirm the prediction that large Ebbinghaus inducers produce perceptual enlargement at short dis-
tances, a finding potentially due to repulsive effects of distal contours (on the far side of the inducer
relative to the target) counteracting attractive effects of nearer contours. We noted that predictions
based on estimated cortical distance did not align with select findings from other studies (Knol
et al., 2015; Roberts et al., 2005; Schwarzkopf & Rees, 2013), possibly due to differences in stimu-
lus dimensions, stimulus location, and task design. In the Delboeuf illusion, we showed that the
addition of a second, more distant contour reliably decreases perceived target size compared to a
single-ring, a finding aligned with an antagonistic surround described in contour-based accounts,
such as BCIT (Roberts et al., 2005; Sherman & Chouinard, 2016; Todorović & Jovanović ,
2018; Weintraub & Schneck, 1986). Lastly, we found that at large retinal distances (>11°), a
single-ring Delboeuf ring still decreased perceived target size, a finding that may reflect low cortical
magnification (the relatively minor changes in cortical distance) at points ranging into peripheral
480
Perception 52(7)
vision. Future studies should continue to characterize effects of the surround in these illusions,
including interactions between surround elements, potential influences of task design, and contri-
butions of mid- and high-level vision.
Author contribution(s)
Poutasi W. B. Urale: Conceptualization; Formal analysis; Investigation; Methodology; Project administra-
tion; Software; Visualization; Writing – original draft; Writing – review & editing.
D. Samuel Schwarzkopf: Conceptualization; Formal analysis; Investigation; Methodology; Resources;
Software; Supervision; Writing – review & editing.
Declaration of Conflicting Interests
The authors declared no potential conflicts of interest with respect to the research, authorship, and/or publica-
tion of this article.
Funding
The authors received no financial support for the research, authorship, and/or publication of this article.
Data Availability
Data and scripts used to conduct this analysis can be viewed at Open Science Framework: Data and analysis for
Effects of cortical distance on the Ebbinghaus and Delboeuf illusions. https://doi.org/10.17605/OSF.IO/
GUHSF.
ORCID iDs
Poutasi W. B. Urale
Dietrich Samuel Schwarzkopf
https://orcid.org/0000-0001-6106-2297
https://orcid.org/0000-0003-3686-1622
Supplemental Material
Supplemental material for this article is available online.
References
Aglioti, S., DeSouza, J. F. X., & Goodale, M. A. (1995). Size-contrast illusions deceive the eye but not the
hand. Current Biology, 5, 679–685. https://doi.org/10.1016/S0960-9822(95)00133-3
Baldwin, J., Burleigh, A., Pepperell, R., & Ruta, N. (2016). The perceived size and shape of objects in periph-
eral vision. I-Perception, 7, 2041669516661900. https://doi.org/10.1177/2041669516661900
Ballard, D. H., & Jehee, J. (2012). Dynamic coding of signed quantities in cortical feedback circuits. Frontiers
in Psychology, 3, 254. https://doi.org/10.3389/FPSYG.2012.00254/BIBTEX
Bouma, H. (1970). Interaction effects in parafoveal letter recognition. Nature, 226, 177–178. https://doi.org/10.
1038/226177a0
Brainard, D. H. (1997). The Psychophysics Toolbox. Spatial Vision, 10, 433–436. http://color.psych.ucsb.edu/
psychtoolbox
Cavanaugh, J. R., Bair, W., & Movshon, A. J. (2002). Nature and interaction of signals from the receptive field
center and surround in macaque V1 neurons. Journal of Neurophysiology, 88, 2530–2546. https://doi.org/
10.1152/jn.00692.2001
Chen, L., Qiao, C., & Jiang, Y. (2018). Low-spatial-frequency bias in context-dependent visual size percep-
tion. Journal of Vision, 18, 2–9. https://doi.org/10.1167/18.8.2
Choplin, J. M., & Medin, D. L. (1999). Similarity of the perimeters in the Ebbinghaus illusion. Perception &
Psychophysics, 61, 3–12. https://doi.org/10.3758/BF03211944
Clifford, C. W. G. (2014). The tilt illusion: Phenomenology and functional implications. Vision Research, 104,
3–11. https://doi.org/10.1016/J.VISRES.2014.06.009
Urale and Schwarzkopf
481
Coren, S., & Enns, J. T. (1993). Size contrast as a function of conceptual similarity between test and inducers.
Perception & Psychophysics, 54, 579–588. https://doi.org/10.3758/BF03211782
Coren, S., & Girgus, J. S. (1978). Seeing is deceiving: The psychology of visual illusions. Routledge.
Coren, S., & Miller, J. (1974). Size contrast as a function of figural similarity. Perception & Psychophysics, 16,
355–357. https://doi.org/10.3758/BF03203955
Daniel, P. M., & Whitteridge, D. (1961). The representation of the visual field on the cerebral cortex in
monkeys. The Journal of Physiology, 159, 203–221. https://doi.org/10.1113/JPHYSIOL.1961.SP006803
Delboeuf, F. J. (1865). Note sur certaines illusions d’optique: Essai d’une théorie psychophysique de la
maniere dont l’oeil apprécie les distances et les angles. Bulletins de l’Académie Royale Des Sciences,
Lettres et Beaux-Arts de Belgique, 19, 195–216.
Deni, J. R., & Brigner, W. L. (1997). Ebbinghaus illusion: Effect of figural similarity upon magnitude of illu-
sion when context elements are equal in perceived size. Perceptual and Motor Skills, 84, 1171–1175.
https://doi.org/10.2466/pms.1997.84.3c.1171
Dougherty, K., Cox, M. A., Westerberg, J. A., & Maier, A. (2019). Binocular modulation of monocular V1
neurons. Current Biology, 29, 381–391.e4. https://doi.org/10.1016/J.CUB.2018.12.004
Duncan, R. O., & Boynton, G. M. (2003). Cortical magnification within human primary visual cortex corre-
lates with acuity thresholds. Neuron, 38, 659–671. https://doi.org/10.1016/S0896-6273(03)00265-4
Ebbinghaus, H. (1902). The principles of psychology. Veit, Leipzig, 437.
Evans, R. B. (1995). Joseph Delboeuf on visual illusions: A historical sketch. The American Journal of
Psychology, 108, 563–574. https://doi.org/10.2307/1423073
Eymond, C., Seidel Malkinson, T., & Naccache, L. (2020). Learning to see the Ebbinghaus illusion in the per-
iphery reveals a top-down stabilization of size perception across the visual field. Scientific Reports, 10, 1–
10. https://doi.org/10.1038/s41598-020-69329-9
Fang, F., Boyaci, H., Kersten, D., & Murray, S. O. (2008). Attention-dependent representation of a size illusion
in human V1. Current Biology, 18, 1707–1712. https://doi.org/10.1016/j.cub.2008.09.025
Gibson, J. J. (1937). Adaptation, after-effect, and contrast in the perception of tilted lines. II. Simultaneous
contrast and the areal restriction of the after-effect. Journal of Experimental Psychology, 20, 553–569.
https://doi.org/10.1037/H0057585
Girgus, J. S., Coren, S., & Agdern, M. (1972). The interrelationship between the Ebbinghaus and Delboeuf
illusions. Journal of Experimental Psychology, 95, 453–455. https://doi.org/10.1037/H0033606
Haffenden, A. M., Schiff, K. C., & Goodale, M. A. (2001). The dissociation between perception and action in
the Ebbinghaus illusion: Nonillusory effects of pictorial cues on grasp. Current Biology, 11, 177–181.
https://doi.org/10.1016/S0960-9822(01)00023-9
Harvey, B. M., & Dumoulin, S. O. (2011). The relationship between cortical magnification factor and popu-
lation receptive field size in human visual Cortex: Constancies in cortical architecture. Journal of
Neuroscience, 31, 13604–13612. https://doi.org/10.1523/JNEUROSCI.2572-11.2011
Henriksson, L., Nurminen, L., Hyvärinen, A., & Vanni, S. (2008). Spatial frequency tuning in human retino-
topic visual areas. Journal of Vision, 8, 5–5. https://doi.org/10.1167/8.10.5
Hughes, M., & Fernandez-Duque, D. (2010). Knowledge influences perception: Evidence from the
Ebbinghaus illusion. Journal of Vision, 10, 954–954. https://doi.org/10.1167/10.7.954
Jaeger, T. (1978). Ebbinghaus illusions: Size contrast or contour interaction phenomena? Perception &
Psychophysics, 24, 337–342. https://doi.org/10.3758/BF03204250
Jaeger, T., & Grasso, K. (1993). Contour lightness and separation effects in the Ebbinghaus illusion.
Perceptual and Motor Skills, 76, 255–258. https://doi.org/10.2466/pms.1993.76.1.255
Jaeger, T., & Guenzel, N. (2001). Similarity and lightness effects in Ebbinghaus illusion created by keyboard
characters. Perceptual and Motor Skills, 92, 151–156. https://doi.org/10.2466/pms.2001.92.1.151
Jaeger, T., & Klahs, K. (2015). The Ebbinghaus illusion: New contextual effects and theoretical considera-
tions. Perceptual and Motor Skills, 120, 177–182. https://doi.org/10.2466/24.27.PMS.120v13x4
Jaeger, T., & Long, S. (2007). Effects of contour proximity and lightness on Delboeuf illusions created by cir-
cumscribed letters. Perceptual and Motor Skills, 105, 253–260. https://doi.org/10.2466/PMS.105.1.253-
260
Jaeger, T., & Lorden, R. (1980). Delboeuf illusions: Contour or size detector interactions? Perceptual and
Motor Skills, 50, 376–378. https://doi.org/10.1177/003151258005000205
482
Perception 52(7)
Jaeger, T., & Pollack, R. H. (1977). Effect of contrast level and temporal order on the Ebbinghaus circles illu-
sion. Perception & Psychophysics, 21, 83–87. https://doi.org/10.3758/BF03199473
Kirsch, W., Pfister, R., & Kunde, W. (2020). On why objects appear smaller in the visual periphery.
Psychological Science, 31, 88–96. https://doi.org/10.1177/0956797619892624
Kleiner, M., Brainard, D., & Pelli, D. G. (2007). What’s new in Psychtoolbox-3? Perception 36 ECVP
Abstract Supplement. http://www.psychtoolbox.org.
Knol, H., Huys, R., Sarrazin, J.-C., & Jirsa, V. K. (2015). Quantifying the Ebbinghaus figure effect: Target
size, context size, and target-context distance determine the presence and direction of the illusion.
Frontiers in Psychology, 6, 1679. https://doi.org/10.3389/fpsyg.2015.01679
Konkle, T., & Oliva, A. (2012). A real-world size organization of object responses in occipitotemporal cortex.
Neuron, 74, 1114–1124. https://doi.org/10.1016/J.NEURON.2012.04.036
Mareschal, I., Morgan, M. J., & Solomon, J. A. (2010). Cortical distance determines whether flankers cause
crowding or the tilt illusion. Journal of Vision, 10, 13–13. https://doi.org/10.1167/10.8.13
Massaro, D. W., & Anderson, N. H. (1970). A test of a perspective theory of geometrical illusions. Source: The
American Journal of Psychology, 83, 567–575.
Massaro, D. W., & Anderson, N. H. (1971). Judgmental model of the Ebbinghaus illusion. Journal of
Experimental Psychology, 89, 147–151.
Mcllwain, J. T. (1986). Point images in the visual system: New interest in an old idea. Trends in Neurosciences,
9, 354–358. https://doi.org/10.1016/0166-2236(86)90113-X
Moutsiana, C., de Haas, B., Papageorgiou, A., van Dijk, J. A., Balraj, A., Greenwood, J. A., & Schwarzkopf,
D. S. (2016). Cortical idiosyncrasies predict the perception of object size. Nature Communications, 7, 1–12.
https://doi.org/10.1038/ncomms12110
Murray, S. O., Boyaci, H., & Kersten, D. (2006). The representation of perceived angular size in human
primary visual cortex. Nature Neuroscience, 9, 429–434. https://doi.org/10.1038/nn1641
Musel, B., Bordier, C., Dojat, M., Pichat, C., Chokron, S., le Bas, J.-F., & Peyrin, C. (2013). Retinotopic and
lateralized processing of spatial frequencies in human visual cortex during scene categorization. Journal of
Cognitive Neuroscience, 25, 1315–1331. https://doi.org/10.1162/JOCN_A_00397
Obonai, T. (1954). Induction effects in estimates of extent. Journal of Experimental Psychology, 47, 57–60.
https://doi.org/10.1037/H0057223
Palmer, C. R., Chen, Y., & Seidemann, E. (2012). Uniform spatial spread of population activity in primate
parafoveal V1. Journal of Neurophysiology, 107, 1857–1867. https://doi.org/https://doi.org/https://
doi.org/ 10.1152/jn.00117.2011
Pelli, D. G. (1997). The VideoToolbox software for visual psychophysics: Transforming numbers into movies.
Spatial Vision, 10, 437–442.
Pelli, D. G., & Tillman, K. A. (2008). The uncrowded window of object recognition. Nature Neuroscience, 11,
1129–1135. https://doi.org/10.1038/nn.2187
Pressey, A. W. (1977). Measuring the Titchener circles and Delboeuf illusions with the method of adjustment.
Bulletin of the Psychonomic Society, 10, 118–120. https://doi.org/10.3758/BF03329298
Rao, R. P. N., & Ballard, D. H. (1999). Predictive coding in the visual cortex: A functional interpretation of
some extra-classical receptive-field effects. Nature Neuroscience, 2, 79–87. https://doi.org/10.1038/4580
Rashal, E., Cretenoud, A. F., & Herzog, M. H. (2020). Perceptual grouping leads to objecthood effects in the
Ebbinghaus illusion. Journal of Vision, 20, 1–15. https://doi.org/10.1167/JOV.20.8.11
Roberts, B., Harris, M. G., & Yates, T. A. (2005). The roles of inducer size and distance in the Ebbinghaus
illusion (Titchener circles). Perception, 34, 847–856. https://doi.org/10.1068/p5273
Robinson, J. O. (1998). The Psychology of Visual Illusion. Hutchinson and Co. Lt.
Rose, D., & Bressan, P. (2002). Going round in circles: Shape effects in the Ebbinghaus illusion. Spatial
Vision, 15, 191–203.
Schwarzkopf, D. S. (2015). Where is size in the brain of the beholder? Multisensory Research, 28, 285–296.
https://doi.org/10.1163/22134808-00002474
Schwarzkopf, D. S., & Rees, G. (2013). Subjective size perception depends on central visual cortical magni-
fication in human V1. PLoS ONE, 8, e60550. https://doi.org/10.1371/journal.pone.0060550
Schwarzkopf, D. S., Song, C., & Rees, G. (2011). The surface area of human V1 predicts the subjective experi-
ence of object size. Nature Neuroscience, 14, 28–30. https://doi.org/10.1038/nn.2706
Urale and Schwarzkopf
483
Sherman, J. A., & Chouinard, P. A. (2016). Attractive contours of the Ebbinghaus illusion. Perceptual and
Motor Skills, 122, 88–95. https://doi.org/10.1177/0031512515626632
Smith, A. T., Singh, K. D., Williams, A. L., & Greenlee, M. W. (2001). Estimating receptive field size from
fMRI data in human striate and extrastriate visual cortex. Cerebral Cortex, 11, 1182–1190. https://doi.org/
10.1093/cercor/11.12.1182
Song, C., Samuel Schwarzkopf, D., Lutti, A., Li, B., Kanai, R., & Rees, G. (2013). Effective connectivity
within human primary visual cortex predicts interindividual diversity in illusory perception. Journal of
Neuroscience, 33, 18781–18791. https://doi.org/10.1523/JNEUROSCI.4201-12.2013
Song, C., Schwarzkopf, D. S., & Rees, G. (2011). Interocular induction of illusory size perception. BMC
Neuroscience, 12, 27. https://doi.org/10.1186/1471-2202-12-27
Sperandio, I., Lak, A., & Goodale, M. A. (2012). Afterimage size is modulated by size-contrast illusions.
Journal of Vision, 12, 18–18. https://doi.org/10.1167/12.2.18
Titchener, E. B. (1905). Experimental psychology: A manual of laboratory practice (Vol. 2). Johnson Reprint
Company.
Todorović , D., & Jovanović , L. (2018). Is the Ebbinghaus illusion a size contrast illusion? Acta Psychologica,
185, 180–187. https://doi.org/10.1016/J.ACTPSY.2018.02.011
van den Berg, R., Roerdink, J. B. T. M., & Cornelissen, F. W. (2007). On the generality of crowding: Visual
crowding in size, saturation, and hue compared to orientation. Journal of Vision, 7, 14–14. https://doi.org/
10.1167/7.2.14
Weintraub, D. J. (1979). Ebbinghaus illusion: Context, contour, and age influence the judged size of a circle
amidst circles. Journal of Experimental Psychology: Human Perception and Performance, 5, 353–364.
https://doi.org/10.1037/0096-1523.5.2.353
Weintraub, D. J., & Schneck, M. K. (1986). Fragments of Delboeuf and Ebbinghaus illusions: Contour/context
explorations of misjudged circle size. Perception & Psychophysics, 40, 147–158. https://doi.org/10.3758/
BF03203010
Weintraub, D. J., Wilson, B. A., Greene, R. D., & Palmquist, M. J. (1969). Delboeuf illusion: Displacement
versus diameter, arc deletions, and brightness contrast. Journal of Experimental Psychology, 80, 505–511.
https://doi.org/10.1037/h0027424
Yamazaki, Y., Otsuka, Y., Kanazawa, S., Yamaguchi, M. K., & Kanazawa, S. O. (2010). Perception of the
Ebbinghaus illusion in 5- to 8-month-old infants. Japanese Psychological Research, 52, 33–40. https://
doi.org/10.1111/j.1468-5884.2009.00420.x
| null |
10.1038_s42003-023-04955-3.pdf
|
Data availability
The main data supporting the results in this study are available within the paper and
its Supplementary Information. Source data for all figures can be found in Supplementary
Data 1. The raw and analysed datasets generated during the study are too large to be
publicly shared, yet they are available for research purposes from the corresponding
authors on reasonable request.
|
Data availability The main data supporting the results in this study are available within the paper and its Supplementary Information. Source data for all figures can be found in Supplementary Data 1. The raw and analysed datasets generated during the study are too large to be publicly shared, yet they are available for research purposes from the corresponding authors on reasonable request.
|
ARTICLE
https://doi.org/10.1038/s42003-023-04955-3
OPEN
A spike-targeting bispecific T cell engager strategy
provides dual layer protection against SARS-CoV-2
infection in vivo
Fanlin Li1,2,6, Wei Xu3,6, Xiaoqing Zhang1,4,6, Wanting Wang1,2,6, Shan Su3, Ping Han1,2, Haiyong Wang1,2,
Yanqin Xu1,2, Min Li1,2, Lilv Fan1,2, Huihui Zhang1,2, Qiang Dai1,2, Hao Lin1,2, Xinyue Qi1,2, Jie Liang1,2, Xin Wang5,
& Xuanming Yang
Shibo Jiang
3, Youhua Xie
, Lu Lu
1,2✉
3✉
3✉
;
,
:
)
(
0
9
8
7
6
5
4
3
2
1
Neutralizing antibodies exert a potent inhibitory effect on viral entry; however, they are less
effective in therapeutic models than in prophylactic models, presumably because of their
limited efficacy in eliminating virus-producing cells via Fc-mediated cytotoxicity. Herein, we
present a SARS-CoV-2 spike-targeting bispecific T-cell engager (S-BiTE) strategy for con-
trolling SARS-CoV-2 infection. This approach blocks the entry of free virus into permissive
cells by competing with membrane receptors and eliminates virus-infected cells via powerful
T cell-mediated cytotoxicity. S-BiTE is effective against both the original and Delta variant of
SARS-CoV2 with similar efficacy, suggesting its potential application against immune-
escaping variants. In addition, in humanized mouse model with live SARS-COV-2 infection,
S-BiTE treated mice showed significantly less viral load than neutralization only treated group.
The S-BiTE strategy may have broad applications in combating other coronavirus infections.
1 Sheng Yushou Center of Cell Biology and Immunology, School of Life Sciences and Biotechnology, Shanghai Jiao Tong University, Shanghai 200240, China.
2 Joint International Research Laboratory of Metabolic & Developmental Sciences, Shanghai Jiao Tong University, Shanghai 200240, China. 3 Key Laboratory
of Medical Molecular Virology (MOE/NHC/CAMS), Shanghai Institute of Infectious Disease and Biosecurity, School of Basic Medical Sciences and Biosafety
Level 3 Laboratory, Fudan University, Shanghai 200032, China. 4 Department of Physiology, Naval Medical University, Shanghai 200433, China. 5 Shanghai
Longyao Biotechnology Limited, Shanghai 201203, China. 6These authors contributed equally: Fanlin Li, Wei Xu, Xiaoqing Zhang, Wanting Wang.
✉
email: yhxie@fudan.edu.cn; lul@fudan.edu.cn; xuanmingyang@sjtu.edu.cn
COMMUNICATIONS BIOLOGY |
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1
ARTICLE
COMMUNICATIONS BIOLOGY | https://doi.org/10.1038/s42003-023-04955-3
The emergence of the novel human coronavirus SARS-CoV-
2 has caused a worldwide pandemic of coronavirus disease
2019 (COVID-19), hampering health and economic sys-
tems globally1–3. Different vaccination formats have been
demonstrated to confer protection against the original or mutated
SARS-CoV-2 strains at different efficacies. The mRNA-based,
adenoviral vector-based, and inactivated virus-based vaccines are
reported to be 95%, 66.9%, and 65.9% effective, respectively, in
preventing COVID-194–6. Despite the availability of
these
working vaccines, the emergence of immune-escaping variants
significantly slowed the controlling of the pandemic7,8.
the
efficacy, bispecific
Various small molecules targeting SARS-CoV-2 entry or repli-
cation in cells are under evaluation9 and some of them have been
authorized for clinic usage10. Among them, Paxlovid has shown
clinical benefit of reducing the risk of progression to severe
COVID-19 or death11–13. Neutralizing antibodies have been used
respiratory syncytial virus and Ebolavirus
clinically against
disease14,15, and also quickly been developed against SARS-CoV-2
infection to exert potent neutralizing activity in preclinical models
and clinic15–19. Angiotensin-converting enzyme 2 (ACE2) is a key
entry receptor for SARS-CoV-21. Several studies have reported the
antiviral effects of soluble ACE2-based therapeutics, functioning as
a competitive inhibitor of membranous ACE220–23. To further
enhance
two
epitopes24–27 and bispecific fusion proteins with antibody arm and
soluble ACE2 arm28,29 have been developed to enhance neu-
tralization to prevent escaping mutation of SARS-CoV-2. However,
owing to the high mutation rate of SARS-CoV-2, these therapeutics
will face challenges of treatment-escape or resistance eventually.
Furthermore, spike mutations have been reported to be associated
with the reduced neutralization ability of monoclonal antibodies
and
convalescent
individuals30–38. Therefore, to achieve the optimal therapeutic
potential, a novel approach, in addition to the utilization of neu-
tralizing antibodies and small molecular inhibitors, needs to be
developed. To address this need, in this paper, we present a SARS-
CoV-2 spike-targeting bispecific T-cell engager (S-BiTE) strategy
for controlling SARS-CoV-2 infection.
serum antibodies
vaccinated
antibodies
targeting
and
in
Results
Generation and characterization of S-BiTE. T cells are con-
sidered to be the most effective immune cells in eliminating virus-
infected cells or cancer cells39,40. BiTE, a potent T cell-activation
strategy, has been widely used for treating various types of
cancer41, but little is known about its effect on SARS-CoV-2
infection. Thus, we designed a fusion protein, S-BiTE, consisting
of the ACE2 extracellular domain (amino acid 1–740) to block
viral entry and the anti-CD3ε single-chain variable fragment
(scFv) to activate T cells and eliminate viral-producing cells
(Fig. 1a and supplementary Fig. 1a).
SARS-CoV-2 enters permissive cells through ACE2 in a
SARS-CoV-2 spike-dependent manner1,42. Owing to the
specific and strong interaction between ACE2 and SARS-
CoV-2 spike43, we used the extracellular domain of ACE2 as a
specific ligand to identify spike-expressing cells, which mimic
SARS-CoV-2-infected cells in vivo. This monovalent ACE2
extracellular domain has a relatively high affinity for the
receptor binding domain (RBD) of spike-Fc fusion protein and
spike-expressing 293-spike cells (Fig. 1b, c). The other portion
of the fusion protein is the monovalent anti-CD3ε scFv portion
that showed a significantly reduced affinity for CD3ε compared
with the parental bivalent anti-CD3 antibody (Fig. 1d and
Supplementary Fig. 1b), which disfavors the binding and
the SARS-CoV-2
activation of T cells in the absence of
spike44,45.
The ACE2 portion of S-BiTE could function as a competitive
receptor and entry blocker of SARS-CoV-2. To test
this
hypothesis, we performed a pseudotyped SARS-CoV-2 blockade
assay in vitro and found that S-BiTE significantly blocked
pseudotyped SARS-CoV-2 infection in permissive 293-ACE2 and
A549-ACE2 cells (Fig. 1e–f).
S-BiTE induced target-dependent T cell activation and cyto-
toxicity in the presence of the SARS-CoV-2 spike. The ability of
S-BiTE to activate T cells was investigated in an in vitro T cell-
activation assay with co-cultured cells engineered to express the
SARS-CoV-2 spike. S-BiTE specifically activated T cells to release
IFN-γ and TNF in the presence of 293-spike cells in a dose-
dependent manner (Fig. 2a, b and Supplementary Fig. 2a, b). In
the same experimental setting, there was no T cell activation in
response to the spike-negative 293 cells even with the highest
tested concentration of S-BiTE, suggesting the high specificity of
the ACE2-spike interaction. The same specific and sensitive T cell
activation was observed in response to spike-expressing lung
epithelial A549 cells (Fig. 2c, d and Supplementary Fig. 2c, d). To
further investigate whether the increased T cell activation could
lead to death of the target cells, we performed a flow cytometry-
based cell-killing assay. S-BiTE induced strong cytotoxicity
towards the spike-expressing 293 and A549 cells, rather than
towards the corresponding spike-negative control cells (Fig. 2e, f,
Supplementary Fig. 2e, f, and Supplementary Fig. 3). To further
confirm its specifity, we established one CD20 targeting BiTE and
performed similar in vitro T cell activation assay, S-BiTE induce
more T cell activation than control CD20-BiTE dependent on
spike expression (Supplementary Fig. 5). These results demon-
strate that S-BiTE can induce CD3-mediated activation of human
T cells and the killing of SARS-CoV-2 spike-expressing cells.
on
into
entry
antibodies
Numerous studies have shown a strong inhibitory effect of
neutralizing
permissive
viral
cells14,15,46,47. However, only a few therapeutic neutralizing
antibodies have been approved for clinical use48. The clinical
efficacy of neutralizing antibodies may be limited by the
emergence of viral mutations that enable escape from neutraliza-
tion or the relatively weak ability of neutralizing antibodies to
eliminate virus-infected cells. A recent publication showed that
neutralization antibodies are less effective when administered 2 h
after infection compared to their administration 24 h before
infection49. Thus, we compared the cytotoxicity of S-BiTE and
ACE2-human IgG1 Fc fusion proteins in vitro. Although IgG1 Fc
is the most potent isotype in mediating antibody-dependent cell-
mediated cytotoxicity (ADCC) and complement-dependent
cytotoxicity (CDC)50, ACE2-Fc showed weak cytotoxic effects
through ADCC and CDC in vitro (Fig. 2g, h). In the same setting,
S-BiTE exhibited more than 2000 times higher killing effect on
spike-expressing Raji cells (Fig. 2i).
S-BiTE inhibited pseudotyped SARS-CoV-2 viral release. The
elimination of virus-infected cells to prevent the production of
more viruses is critical for viral control, especially in the early
stages of infection. Thus, we assessed the ability of S-BiTE to
prevent virus release in our pseudotyped SARS-CoV-2 produc-
tion system. To mimic virus-producing cells, 293 cells were
transfected with four viral
component-encoding plasmids
(Fig. 3a). Upon co-culture with the engineered 293 cells, S-BiTE
significantly triggered the activation of T cells, killing of viral-
producing cells, and reduction of virus release (Fig. 3b–d).
Importantly, under these conditions, the presence of free viruses
in the culture medium did not affect S-BiTE-mediated T cell
activation and cytotoxicity towards the spike-expressing cells.
the pseudotyped virus in the supernatant was
Consistently,
2
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COMMUNICATIONS BIOLOGY | https://doi.org/10.1038/s42003-023-04955-3
ARTICLE
c
I
F
M
a
d
e
S-BiTE
T cell
S-BiTE
Permissive cell
Neutraliza(cid:2)on
of free virus
Virus producing cell
Elimina(cid:2)on
of viral source
)
M
n
5
0
4
(
D
O
b
f
Fig. 1 Generation and characterization of the S-BiTE fusion protein. a A schematic diagram of the potential anti-SARS-CoV-2 mechanism of the spike-
targeting bispecific T cell engager (S-BiTE) used in this study. b ELISA-binding curves of S-BiTE to immobilized RBD of the SARS-CoV-2 spike. c MFI of the
binding of S-BiTE to 293-spike cells as determined by flow cytometry. d Median fluorescence intensity (MFI) of the binding of S-BiTE or parental anti-CD3
to primary human T cells. e, f Lentiviruses pseudotyped with the SARS-CoV-2 spike were incubated with 293-ACE2 cells (e) or A549-ACE2 cells (f) in the
presence of indicated concentration of S-BiTE. Fluorescent IRFP-positive cells were measured by flow cytometry. Relative infection was calculated as ratio
of the IRFP readout in the presence of S-BiTE to the IRFP readout in the absence of S-BiTE. One-way ANOVA with Dunnett’s multiple comparison and
correction was performed and significance was shown. All data shown as mean ± SEM. Representative results from one of three repeated experiments are
shown (n = 3/group) (b–f).
significantly reduced after S-BiTE treatment (Fig. 3e, f). Collec-
tively, these results indicate that S-BiTE is superior to the Fc-
directed Ab therapeutic strategy in controlling viral infection at
the cellular level.
S-BiTE eliminated spike-expressing cells in vivo with good
safety profile. Given the potent in vitro cytotoxicity of S-BiTE
towards spike-expressing cells, its cytotoxicity was also assessed
in vivo. Similar to that of other reported BiTE-like molecules, the
half-life of S-BiTE in mice is approximately 1.5 h (Supplementary
Fig. 4). Despite its short half-life, a single treatment of S-BiTE was
demonstrated to kill spike-positive target cells to a significant
extent
in the in vivo cell-killing assay, suggesting the high
potential of S-BiTE to kill virus-infected cells in vivo (Fig. 4a and
Supplementary Fig. 6). To test whether S-BiTE could induce
unwanted T cell activation or T cell depletion, which is critical for
its safety profile. hACE2 and hCD3e humanized mice were
adminstrated with S-BiTE. Our data showed that there is no
significant difference in immune cell subtypes, T cell activation
marker and major tissue immune cell infiltration (Supplementary
Fig. 7).
Furthermore, since mesenchymal stem cells (MSCs) have been
treating various diseases and have been
widely used for
demonstrated to have good safety profiles in clinical settings51,
in order to meet urgent clinical needs, we engineered MSCs to
stably secrete S-BiTE (Fig. 4b). Serum expression of S-BiTE in
mice lasted for more than 14 days after a single infusion (Fig. 4c).
Importantly, when we checked the bio-distribution of MSCs, both
engineered and unmodified MSCs were preferentially located in
the lungs (Fig. 4d, e), suggesting their potential application in
treating SARS-CoV-2-induced pneumonia. This MSC-based S-
BiTE delivery approach provides a potential clinical ready option
for the treatment of severe COVID-19 patients.
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a
c
g
b
d
h
e
f
i
0 1 10
100
1000 0 1 10
100
1000
Fig. 2 S-BiTE induced target-dependent T cell activation and cytotoxicity in the presence of spike. 293, 293-spike, A549, A549-spike, Raji, or Raji-spike
cells were co-cultured with human primary T cells in the presence of the indicated concentration of S-BiTE. a–d After 24 h, levels of IFN-γ and TNF in the
cell supernatant were analyzed by the CBA assay. e, f After 48 h, cytotoxicity was determined by measuring CD45- cells via flow cytometry. h, i Raji or Raji-
spike cells were co-cultured with human primary NK cells and supplemented with human AB serum or human T cells in the presence of the indicated
concentration of ACE2-Fc or S-BiTE. ADCC, CDC, or T cell-mediated cytotoxicity was analyzed by flow cytometry. Two-way ANOVA with Dunnett’s
multiple comparison and correction was performed and significance was shown. All data shown as mean ± SEM. Representative results from one of three
repeated experiments are shown (n = 3/group) (a–i).
S-BiTE eliminated live virus-infected cells. Given the potential
cytotoxicity of S-BiTE in eliminating spike-expressing cell lines,
we further tested the efficacy of S-BiTE on live virus-infected
cells. To establish infection, we infected A549-ACE2 cells with
live SARS-CoV-2 for 2 h. Then, S-BiTE was added to the infected
cells in the presence of T cells. Consistent with the results of the
pseudovirus assay, S-BiTE significantly inhibited viral replication
in permissive A549-ACE2 cells (Fig. 5a, b and Supplementary
Fig. 5).
S-BiTE is effective against the Delta variant of SARS-CoV-2.
Owing to its high mutation rate, SARS-CoV-2 has evolved
rapidly, leading to the emergence of many variants with immune-
escape ability or enhanced proliferation and transmission cap-
abilities worldwide. Among these variants, the Delta variant has
been reported to increase the viral load in patients, contributing
to the rapid global spread of this variant52. The efficacy of neu-
tralization antibodies against the Delta variant has been reported
to be 3 to 5 times lower than that against the original SARS-CoV-
2 strain30,38. Thus, we investigated whether S-BiTE is effective
against the Delta variant spike.
We first tested the binding of S-BiTE to Delta-spike-expressing
cells. S-BiTE bound to the 293-Delta-spike at an EC50 of
3.45 nM, which is similar to that observed for the WT spike
(Fig. 6a). We then investigated whether S-BiTE could cause the
lysis of Delta-spike-expressing cells in the presence of T cells.
S-BiTE could specifically activate T cells to release IFN-γ and
TNF in the presence of 293-Delta-spike cells or A549-Delta-spike
cells in a dose-dependent manner (Fig. 6b, c). Consistent with the
increased T cell activation, S-BiTE also induced strong cytotoxi-
city towards Delta-spike-expressing 293 and A549 cells, rather
than towards the corresponding spike-negative control cells
(Fig. 6d, e). These results demonstrate that S-BiTE can induce
CD3-mediated activation of human T cells and kill cells
expressing a mutated SARS-CoV-2 spike, which may be useful
for the treatment of immune-escaping variants of SARS-CoV-2.
S-BiTE shows better viral control ability in vivo than soluble
ACE2 neutralizing agent. To explore the protection efficacy of
S-BiTE against challenge with SARS-CoV2 Delta-variant virus
in vivo, hACE2-hCD3ε transgenic mice were chosen as in vivo
model. In hACE2-hCD3ε transgenic mice, hACE2 provides the
entry receptor for SARS-CoV2 infection, and hCD3ε provides the
4
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ARTICLE
a
GFP-luc
Gag/Pol
Spike
Rev
b
Pseudovirus
S-BiTE
T cell
c
e
S-BiTE
0 100 1000 ng/ml
S-BiTE
0 100 1000 ng/ml
d
f
P < 0.0001
P < 0.0001
50
40
30
20
10
0
S-BiTE ng/ml
0
100 1000
T cells + + +
S-B TE ng/ml
i
T cells
+
+
+
Fig. 3 S-BiTE inhibited viral release in a pseudotyped SARS-CoV-2 production assay. a Schematic illustrating the co-culture experiments to monitor the
effect of S-BiTE on virus-producing cells. b–d Lenti-X 293 T cells were transfected with pseudotyped SARS-CoV-2 plasmids. After 24 h, human primary
T cells were added to the culture in the presence of the indicated concentration of S-BiTE. Forty-eight hours post transfection, levels of TNF and IFN-γ in
supernatant were analyzed by the CBA assay (n = 3/group) (b). The remaining virus-releasing cells were imaged by fluorescent microscopy (c) and
analyzed by flow cytometry (d) (n = 6/group). e, f The released virus in the supernatant was used to infect 293-ACE2 cells, and virus-infected GFP-
expressing cells were analyzed by fluorescent microscopy (e) and flow cytometry (f) (n = 5/group). One-way ANOVA with Dunnett’s multiple
comparison and correction was performed and significance was shown. Scale bar: 120 μm. All data shown as mean ± SEM. Representative results from one
of three repeated experiments are shown (b–f).
T cell activating target by S-BiTE. To compare the protection
efficacy of S-BiTE with neutralizing agent, a soluble ACE2-treated
group was included as well. The body weight of ACE2 and S-BiTE
group decreased significantly less compared with the PBS group
(Fig. 7a). Since the lung and intestine are two major tissues-
infected by SARS-CoV2 in this transgenic mouse, the number of
viral RNA copies were measured and compared at 3 dpi. The
RNA copies in the lung of both ACE2 group and S-BiTE group
were significantly lower than the PBS group, reducing to about
10−2 and 10−3 of PBS group, respectively (Fig. 7b, c). Impor-
tantly, the RNA copies of S-BiTE group were reduced to about
10−2 of ACE2 group, suggesting the powerful protection by S-
BiTE-mediated T cell activation, which is consistent with our
in vitro observation. These results demonstrate that S-BiTE can
induce both neutralization and CD3-mediated T cell activation
in vivo, which provide dual layer protection against immune-
escaping variants of SARS-CoV-2 and may be a potential treat-
ment for COVID-19.
Discussion
This study presents S-BiTE as an attractive therapeutic strategy
for treating COVID-19 and other diseases caused by cor-
onaviruses that use ACE2 as their receptor. S-BiTE could block
viral entry by competing with the SARS-CoV-2 spike in binding
to membrane ACE2. Furthermore, S-BiTE stimulated the pow-
erful cytotoxic capabilities of T cells and increased sensitivity in
eliminating virus-infected spike-expressing cells. This dual
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ARTICLE
a
mCD45-hCD45+
CD3-CD19+
COMMUNICATIONS BIOLOGY | https://doi.org/10.1038/s42003-023-04955-3
Spike+ 62%
Spike- 37%
PBS
S-BiTE
Spike+ 37%
Spike- 61%
o
i
t
a
R
-
/
e
k
i
p
S
+
e
k
i
p
S
b
c
d
e
Fig. 4 S-BiTE eliminated spike-expressing cells in vivo. a Approximately 2 × 106 CFSE-labeled Raji and Raji-spike cells were mixed with 5 × 106 T cells and
intraperitoneally injected into NSG mice (n = 5/group). The mice were treated with PBS or S-BiTE, and cells in peritoneal cavity were collected and
analyzed by flow cytometry 6 h after treatment. b The continuous S-BiTE production by stably engineered S-BiTE-MSCs was measured by ELISA after
1-month culture (n = 2/group). c S-BiTE-MSCs was injected to NSG mice (n = 6/group) and serum levels of S-BiTE were determined by ELISA at the
indicated time points. d, e S-BiTE-MSCs (n = 6/group) (d) or MSCs (n = 9/group) (e) were injected into NSG mice, and bio-distribution in the indicated
tissue was analyzed by q-PCR. Unpaired Student’s T-tests (a) and one-way ANOVA with Dunnett’s multiple comparison and correction (b–e) was
performed and significance was shown. All data shown as mean ± SEM. a–c representative results from one of four repeated experiments are shown.
d, e pooled results from three independent experiments are shown.
a
b
r
e
b
m
u
n
y
p
o
c
e
v
i
t
a
l
e
R
Fig. 5 S-BiTE inhibited live SARS-CoV-2 replication in permissive cells. a, b A549-ACE2 cells were infected with live SARS-CoV-2 at an MOI of 0.05.
After 2 h, free viruses were removed by washing with PBS, and human primary T cells were added to the culture in the presence of the indicated
concentration of S-BiTE. At 24 h (a) and 48 h (b) post infection, SARS-CoV-2 replication in cells was analyzed by quantitative real-time PCR (n = 9/group).
One-way ANOVA with and Dunnett’s multiple comparison and correction was performed and significance was shown. All data shown as mean ± SEM.
Representative results from one of three experiments are shown (a, b).
functional design can simultaneously prevent viral spread and
reduce virus production.
Compared to the widely used neutralization-antibody strategy,
the S-BiTE concept has two distinct advantages. The first advantage
is the use of ACE2, the entry receptor for SARS-CoV-2, as a tar-
geting moiety as theoretically, no SARS-CoV-2 mutant should be
able to escape the ACE2-targeting S-BiTE treatment. However,
owing to the different binding epitopes of neutralization antibodies,
it is possible that the new mutants of SARS-CoV-2 are able to
escape the predesigned neutralization-antibody treatment; anti-
bodies from vaccinated and convalescent individuals have been
reported to show reduced re-neutralization abilities against muta-
ted SARS-CoV-2 variants30–38. Different approaches have been
used to improve the ability of neutralization antibodies against
escaping variants of SARS-CoV-2, such as antibody cocktails53,54
and bispecific antibodies25,55. Targeting multiple non-overlap
6
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a
b
c
I
F
M
l
/
m
g
p
-
N
F
I
l
/
m
g
p
F
N
T
0 1 10
100
1000 0 1 10
100
1000
d
e
0 1 10
100
1000 0 1 10
100
1000
)
%
(
r
e
b
m
u
n
l
l
e
c
e
v
i
t
a
l
e
R
0 1 10
100
1000 0 1 10
100
1000
Fig. 6 S-BiTE induced T cell activation and cytotoxicity against SARS-CoV-2 Delta-variant spike. a MFI of the binding of S-BiTE to 293-Delta spike cells
was determined by flow cytometry. b–e 293, 293-Delta spike, A549, and A549-Delta spike cells were co-cultured with human primary T cells in the
presence of the indicated concentration of S-BiTE. After 24 h, levels of IFN-γ and TNF in supernatant were analyzed by the CBA assay (b, c). After 48 h,
cytotoxicity was determined by measuring CD45- cells via flow cytometry (d, e). Representative results from one of three experiments are shown (n = 3/
group) (a–e). Two-way ANOVA with Dunnett’s multiple comparison and correction was performed and significance was shown. All data shown as
mean ± SEM.
epitopes including RBD can sufficiently improve affinity against
spike protein and prevent escaping variants. One unique bispe-
cific design, ACE-MAB (STI-4920)28, composes of a truncated
extracellular ACE2 and an antibody against different epitope of
SARS-CoV-2 spike. This design can simultaneously neutralize
SARS-CoV-2 by competing membrane ACE2 and block CD147
binding to reduce lung inflammation and cytokine storm. The
second advantage is the use of the anti-CD3 moiety to activate
T cells, which makes the difference between our strategy and
monoclonal, bispecific or pre-mixed neutralization antibodies.
T cells are critical in eliminating virus-infected cells and tumor
cells with high sensitivity. By activating T cells, S-BiTE is much
more effective in eliminating virus-infected cells than antibody-
mediated cytotoxicity. In the current design, we did not include
an Fc portion in S-BiTE, which resulted in a short half-life
in vivo. The function of S-BiTE in vivo may be enhanced by
further engineering with Fc to improve its half-life. In addition,
because they involve different design concepts, it is possible to
develop combinational
therapy including both neutralization
antibodies and S-BiTE: neutralization antibodies would be
focused on preventing viral spread and S-BiTE would be focused
on eliminating virus-productive source cells. A similar strategy
can be applied with a combination of viral-replication inhibitors
and S-BiTE. Furthermore, although we used ACE2 as a targeting
moiety, we believe that antibodies against spikes can also be used
as targeting moieties. Binding to conserved epitopes and binding-
induced T cell activation are key in engineering antibody-based
BiTE against SARS-CoV-2 infection. A similar approach has
demonstrated ACE2-anti-CD3 fusion protein can trigger effec-
tive CD8 T cell activation in vitro against spike-expressing cell
line56. Our work has demonstrated it’s sufficient in activating
T cells and its efficacy in controlling live SARS-CoV2 infection
both in vitro and in vivo.
One limitation of our study is the using of ACE2 transgenic mice
and lack of human clinical supporting data. The ACE2 expression is
under the control of ubiquitous promoter, which may not reflect the
physiological distribution of ACE2. An alternative approach would
involve studies in human ACE2 knock-in mice. However, because
we focused on spike-mediated virus neutralization and T cell acti-
vation rather than the viral life cycle, we would predict the efficacy
would be similar in human ACE2 knock-in mice. Nonetheless,
knowledge on the infection rate of alveolar epithelial type II cells
and other ACE2+ cells in ACE2 knock-in mice at different infection
stages will provide valuable insights from the perspective of evalu-
ating efficacy and safety57.
In summary, S-BiTE can be used in a T cell-based strategy with
the capability to neutralize viruses and to eliminate virus-
producing cells. Further optimization of BiTE molecule stability,
target moiety selection, neutralization capability, safety, and
combination strategies with anti-inflammatory therapies are
warranted to improve the clinical value of the S-BiTE approach in
controlling SARS-CoV-2 infection.
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a
%
t
h
g
i
e
w
y
d
o
b
e
v
i
t
a
l
e
R
b
c
Lung
p<0.0001
p<0.0001
p<0.0001
10 12
10 11
10 10
10 9
10 8
10 7
10 6
10 5
Intestines
p<0.0001
p=0.0002
p=0.0016
10 9
10 8
10 7
10 6
10 5
PBS
ACE2
S-BiTE
PBS
ACE2
S-BiTE
Fig. 7 The protection efficiency of S-BiTE against SARS-CoV2 in hACE2-hCD3ε transgenic mice in vivo. a–c All hACE2-hCD3ε transgenic mice (n = 4/
group) were challenged intranasally with SARS-CoV2 Delta-variant, and 25 μg of S-BiTE were intranasally administrated -1, 24, and 48 h post-infection.
Equal mole of soluble ACE2 or equal volume of PBS was used as controls. a The body weight of mice was recorded and normalized at indicated time points.
b, c The virus titer in lungs and intestines of three groups were determined at 3 dpi by qRT-PCR. Unpaired Student’s T-tests (a–c) was performed and
significance was shown (n = 4/group). All data shown as mean ± SEM.
Methods
Cell lines and reagents. Lenti-X 293 T cells were purchased from Clontech
(Mountain View, CA, USA). The A549 cell line was obtained from the American
Type Culture Collection (Manassas, VA, USA). Raji cells were provided by the
Stem Cell Bank, Chinese Academy of Sciences (Shanghai, China). Human PBMCs
from cord blood, NK cells, and MSCs were provided by Shanghai Longyao Bio-
technology Co., Ltd. (Shanghai, China). Plasmids encoding SARS-CoV-2 spike and
ACE2 were obtained from Molecular Cloud (Nanjing, China) and sub-cloned into
pCDH-EF lentiviral vector plasmid (System Biosciences, Mountain View, CA,
USA) with the puromycin-resistance marker.
To establish the SARS-CoV-2 spike-, SARS-CoV-2 Delta spike-, or ACE2-
expressing cell lines, Lenti-X 293 T, A549, or Raji cells were infected with the
SARS-CoV-2 spike-, SARS-CoV-2 Delta spike-, or ACE2-expressing lentivirus.
After selection with puromycin, the pooled resistant cells were identified by flow
cytometry analysis. The cell culture medium was supplemented with 10% heat-
inactivated fetal bovine serum (FBS), 2 mmol/L L-glutamine, 100 units/mL
penicillin, and 100 μg/mL streptomycin. Lenti-X 293 T cells, A549 cells, and their
derivatives were cultured in complete DMEM. Raji cells and their derivatives were
cultured in complete RPMI medium.
Production of S-BiTE, ACE2-His, ACE2-Fc, and RBD-Fc fusion proteins. For the
production of S-BiTE, ACE2-Fc, and RBD-Fc fusion proteins, DNA sequences
encoding the indicated proteins were cloned into the pCDH-EF vector (System
Biosciences). Plasmids containing the indicated fusion protein were transfected
into Lenti-X 293 T cells, and supernatants were collected and purified using a
Diamond Protein A or Ni Bestarose FF column according to the manufacturer’s
protocol (Bestchrom, Shanghai, China).
Neutralization assay with pseudotyped SARS-CoV-2. Lenti-X 293 T cells were
transfected with lentivirus package component plasmids, Gap/pol (#12251,
Addgene), RSV-Rev (#12253, Addgene), pCDH-EF-IRFP-luc, and
pcDNA3.1(+)-2019-nCoV-spike-P2A-eGFP (#MC_0101087, Molecular Cloud).
Supernatants containing lentivirus particles were collected 48 and 72 h post
transfection for direct usage or concentration by ultracentrifugation. The viral
titer in TU/mL was determined by flow cytometric analysis of the transduced
293-ACE2 cells.
In the virus neutralization assay, S-BiTE was serially diluted to the indicated
concentrations in complete Dulbecco’s modified Eagle medium (DMEM).
Pseudotyped lentiviral particles were inoculated on 293-ACE2 or A549-ACE2
monolayers in 96-well plates in the presence of 10 μg/mL of polybrene and
indicated concentration of S-BiTE, and further incubated at 37 °C for 48 h. For
infecting A549-ACE2 cells, a 60-min spin at 2500 rpm at 32 °C was used to
improve infection efficiency. IRFP reporter activity was measured using CytoFLEX
S (Beckman Coulter). The percentage of infectivity was calculated as the ratio of the
IRFP readout in the presence of the fusion protein to the IRFP readout in the
absence of the fusion protein. The half-maximal inhibitory concentrations (IC50)
8
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were determined using a 4-parameter logistic regression (GraphPad Prism,
version 8).
Flow cytometry. Single-cell suspensions were stained with conjugated antibodies.
Samples from in vivo experiments were pre-incubated with anti-CD16/32 (anti-
FcγIII/II receptor, clone 2.4G2) for 10 min before antibody staining. All fluores-
cently labeled monoclonal antibodies were purchased from Biolegend (San Diego,
CA, USA) or eBioscience (San Diego, CA, USA). All fluorescently labeled sec-
ondary antibodies were purchased from Jackson ImmunoResearch Laboratories
(West Grove, PA, USA). Samples were analyzed on a CytoFLEX S (Beckman
Coulter), and data were analyzed using FlowJo software (TreeStar, Inc.).
Enzyme-linked immunosorbent assay (ELISA) and flow cytometry analysis of
S-BiTE. ELISA plates (Jet Biofil, Guangzhou, China) were coated with 2 μg/mL of
RBD-Fc at 4 °C overnight. Plates were washed three times with phosphate buffered
saline (PBS) containing 0.05% Tween-20 and blocked with 2% FBS in PBS at room
temperature for 1 h. Diluted S-BiTE-containing samples were added, and plates
were incubated for 1 h at room temperature. Then, plates were washed three times
and incubated for 1 h at room temperature with alkaline phosphatase (AP)-con-
jugated goat anti-mouse Fab secondary antibody (Jackson ImmunoResearch
Laboratories) diluted to 1:2000 in blocking buffer. AP activity was measured at
405 nm using a SpectraMax 190 microplate reader (Molecular Devices, San Jose,
CA) with p-nitrophenyl phosphate (Guangzhou Howei Pharmaceutical Technol-
ogy Co. Ltd., Guangzhou, China) as substrate. The half-maximum effective con-
centration (EC50) binding values were calculated using GraphPad Prism version 8.
293-CD3 and human primary T cells were incubated with the indicated S-BiTE-
containing samples at 4 °C for 30 min, washed three times with 2% FBS in PBS,
incubated with 2 μg/mL of RBD-hFc at 4 °C for 30 min, washed three times, and
incubated with 1:200 diluted Alexa Fluor 647 conjugated goat anti-human IgG Fc
antibodies (Jackson ImmunoResearch Laboratories). The cells were then subjected
to flow cytometric analysis.
293-spike or 293-Delta-spike cells were incubated with the indicated S-BiTE-
containing samples at 4 °C for 30 min, washed three times with 2% FBS in PBS, and
incubated with 1:200 diluted Alexa Fluor 647 conjugated goat anti-mouse Fab
antibodies (Jackson ImmunoResearch Laboratories). The cells were then subjected
to flow cytometric analysis.
Lentivirus production. Lentivirus was produced by transient transfection of Lenti-
X 293 T cells with a four-plasmid system. Supernatants containing the lentiviral
particles were collected at 48 and 72 h post-transfection and used to establish stable
cell lines.
In vitro T cell activation and killing assay. Human T cells were stimulated with
anti-CD3 (0.25 μg/mL; Bio X Cell, Lebanon, NH, USA) and anti-CD28 (1 μg/mL;
Bio X Cell) for 2 days, rested for 3 days, and used for the in vitro activation and
killing assay in complete RPMI 1640 supplemented with IL-2 (50 IU/mL) (Beijing
Four Rings Bio-Pharmaceutical Co., Beijing, China) and IL-21 (4 ng/mL; Biole-
gend). Approximately 1 × 105 T cells were co-cultured with 2.5 × 104 Raji or Raji-
spike cells; 3.75 × 104 293, 293-spike, or 293-Delta spike cells; or 1.25 × 104 A549,
A549-spike, or A549-Delta spike cells in the presence of various concentrations of
S-BiTE. After 1 day, levels of TNF and IFN-γ in the supernatant were analyzed by a
cytometric bead array (CBA) assay according to the manufacturer’s protocol (BD
Biosciences, San Jose, CA). After 2 days, the killing assay was conducted using flow
cytometry. Anti-CD45 antibody was used to distinguish T cells from 293 or A549
cells. Anti-CD3 and anti-CD19 antibodies were used to distinguish T cells from
Raji-derived cells.
A549 and A549-spike cells were labeled with CFSE (MedChemExpress,
Shanghai, China) and CellTraceTM violet (Life Technologies Corporation, Eugene,
OR, USA), respectively, according to the manufacturer’s protocol. Then, 1.5 × 104
fluorescent dye-labeled A549 and A549-spike cells were plated on a 96-well plate.
After 6 h, 1 × 105 T cells and various concentrations of S-BiTE were added to the
culture. Killing efficiency was determined using the Operetta CLS (PerkinElmer,
Waltham, MA, USA).
Pseudotyped virus release assay. Lenti-X 293 T cells were transfected with Gag/
Pol (#12251, Addgene), RSV-Rev (#12253, Addgene), pcDNA3.1(+)-2019-nCoV-
spike-P2A-eGFP (#MC_0101087, MolecularCloud), and pCDH-EF-GFP-luc in 24-
well plates. After 24 h, 1 × 105 T cells were added to the culture with or without
S-BiTE stimulation. Supernatants were collected at 48 h post-transfection. The viral
titer was measured by infecting 293-ACE2 cells. Levels of TNF and IFN-γ in the
supernatant were analyzed by the CBA assay. The remaining virus-releasing cells
were imaged by REVOLVE fluorescent microscopy (ECHO, San Diego, CA, USA)
and analyzed by flow cytometry.
After 2 h, the free viruses were removed by washing with PBS. Human primary
T cells were added to the culture in the presence of 1 or10 μg/mL of S-BiTE. At
24 h and 48 h post infection, cells were collected and mRNA was isolated. Reverse-
transcription quantitative polymerase chain reaction (RT-qPCR) was used to test
the SARS-CoV-2 mRNA viral titer using the One-Step PrimeScript RT-PCR Kit
(Takara, Shiga, Japan) with the following primers:
SARS-CoV-2-N-F: GGGGAACTTCTCCTGCTAGAAT;
SARS-CoV-2-N-R: CAGACATTTTGCTCTCAAGCTG;
SARS-CoV-2-N-probe: 5’-FAM- TTGCTGCTGCTTGACAGATT-TAMRA-3’.
hACE2- hCD3ε transgenic mice were intranasally administrated with twenty-
five μg of S-BiTE, equal mole of ACE2-His, or equal volume of PBS. One hour later,
mice were intranasally infected with 10,000 PFU of SARS-CoV2 Delta-variant.
Twenty-five μg of S-BiTE, equal mole of ACE2-His, or equal volume of PBS were
administrated 24, and 48 h post-infection. Three days later, lungs and intestines of
three groups collected for RNA isolation and RT-PCR.
Mice. Six-eight weeks old female C57BL/6 J mice were purchased from Beijing
Vital River Laboratory Animal Technology Co., Ltd. (Beijing, China). Eight-ten
weeks old hACE2-hCD3ε transgenic mice, Six-eight weeks old female NOD-
PrkdcscidIL2rγtm1 (NSG) mice were purchased from the Shanghai Model Organ-
isms Center, Inc. (Shanghai, China). All mice were maintained under specific
pathogen-free conditions. Animal care and use were in accordance with institu-
tional and NIH protocols and guidelines, and all studies were approved by the
Animal Care and Use Committee of Shanghai Jiao Tong University and the
Institutional Laboratory Animal Care of Fudan University (20220609-001).
In vivo T cell killing assay. Raji and Raji-spike cells were labeled with 5 or 50 μM
of CFSE, respectively, according to the manufacturer’s protocol (MedChemEx-
press). Approximately 2 × 106 CFSE-labeled Raji and Raji-spike cells were mixed
with 5 × 106 T cells and injected intraperitoneally into NSG mice. The mice were
treated with PBS or S-BiTE, and cells in the peritoneal cavity were collected and
analyzed by flow cytometry 6 h after treatment.
Statistics and reproducibility. The number of independent biological replicates
(n) of each experiment was noted in the figure legends. All attempts at replication
were successful. All statistical analyses were performed using GraphPad Prism 8.
Error bars represent standard deviation (SD) or standard error of the mean (SEM).
Statistical analyses were performed using the Student’s t-test and one-way or two-
way analysis of variance (ANOVA) with Dunnett multiple comparisons correction.
Reporting summary. Further information on research design is available in the Nature
Portfolio Reporting Summary linked to this article.
Data availability
The main data supporting the results in this study are available within the paper and
its Supplementary Information. Source data for all figures can be found in Supplementary
Data 1. The raw and analysed datasets generated during the study are too large to be
publicly shared, yet they are available for research purposes from the corresponding
authors on reasonable request.
Received: 21 February 2023; Accepted: 18 May 2023;
References
1.
Zhou, P. et al. A pneumonia outbreak associated with a new coronavirus of
probable bat origin. Nature 579, 270–273 (2020).
2. Guan, W. J. et al. Clinical characteristics of coronavirus disease 2019 in China.
N. Engl. J. Med. 382, 1708–1720 (2020).
4.
3. Coronaviridae Study Group of the International Committee on Taxonomy of,
V. The species Severe acute respiratory syndrome-related coronavirus:
classifying 2019-nCoV and naming it SARS-CoV-2. Nat. Microbiol. 5,
536–544 (2020).
Jara, A. et al. Effectiveness of an inactivated SARS-CoV-2 vaccine in Chile. N.
Engl. J. Med. https://doi.org/10.1056/NEJMoa2107715 (2021).
Polack, F. P. et al. Safety and efficacy of the BNT162b2 mRNA Covid-19
vaccine. N. Engl. J. Med. 383, 2603–2615 (2020).
Sadoff, J. et al. Safety and efficacy of single-dose Ad26.COV2.S vaccine against
Covid-19. N. Engl. J. Med. 384, 2187–2201 (2021).
5.
6.
Live SARS-CoV-2 infection assay in vitro and in vivo. The inhibition assay for
live SARS-CoV-2 was performed in a biosafety level 3 (BSL3) facility at Fudan
University. A549-ACE2 cells were seeded in 24-well plates and infected with live
SARS-CoV-2 (GenBank: MT121215.1) at a multiplicity of infection (MOI) of 0.05.
7. Davies, N. G. et al. Estimated transmissibility and impact of SARS-CoV-2
lineage B.1.1.7 in England. Science 372, eabg3055 (2021).
8. Wang, Z. et al. mRNA vaccine-elicited antibodies to SARS-CoV-2 and
circulating variants. Nature 592, 616–622 (2021).
COMMUNICATIONS BIOLOGY |
(2023) 6:592 | https://doi.org/10.1038/s42003-023-04955-3 | www.nature.com/commsbio
9
ARTICLE
COMMUNICATIONS BIOLOGY | https://doi.org/10.1038/s42003-023-04955-3
9. Xiang, R. et al. Recent advances in developing small-molecule inhibitors
against SARS-CoV-2. Acta Pharm Sin B https://doi.org/10.1016/j.apsb.2021.
06.016 (2021).
10. Nepali, K., Sharma, R., Sharma, S., Thakur, A. & Liou, J. P. Beyond the
vaccines: a glance at the small molecule and peptide-based anti-COVID19
arsenal. J. Biomed. Sci. 29, 65 (2022).
11. Dryden-Peterson, S. et al. Nirmatrelvir plus ritonavir for early COVID-19 in a
large U.S. health system: a population-based cohort study. Ann. Intern Med.
176, 77–84 (2023).
12. Hammond, J. et al. Oral nirmatrelvir for high-risk, nonhospitalized adults
with Covid-19. N. Engl. J. Med. 386, 1397–1408 (2022).
43. Yan, R. et al. Structural basis for the recognition of SARS-CoV-2 by full-length
human ACE2. Science 367, 1444–1448 (2020).
44. Staflin, K. et al. Target arm affinities determine preclinical efficacy and safety
of anti-HER2/CD3 bispecific antibody. JCI Insight 5 https://doi.org/10.1172/
jci.insight.133757 (2020).
45. Bortoletto, N., Scotet, E., Myamoto, Y., D’Oro, U. & Lanzavecchia, A.
Optimizing anti-CD3 affinity for effective T cell targeting against tumor cells.
Eur. J. Immunol. 32, 3102–3107 (2002).
46. Wu, Y. et al. A noncompeting pair of human neutralizing antibodies block
COVID-19 virus binding to its receptor ACE2. Science https://doi.org/10.
1126/science.abc2241 (2020).
13. Ganatra, S. et al. Oral nirmatrelvir and ritonavir in non-hospitalized vaccinated
47. Pinto, D. et al. Cross-neutralization of SARS-CoV-2 by a human monoclonal
patients with Covid-19. Clin. Infect. Dis. https://doi.org/10.1093/cid/ciac673 (2022).
SARS-CoV antibody. Nature https://doi.org/10.1038/s41586-020-2349-y (2020).
14. Chen, X. et al. Human monoclonal antibodies block the binding of SARS-
48. Salazar, G., Zhang, N., Fu, T. M. & An, Z. Antibody therapies for the
CoV-2 spike protein to angiotensin converting enzyme 2 receptor. Cell. Mol.
Immunol. https://doi.org/10.1038/s41423-020-0426-7 (2020).
15. Wang, C. et al. A human monoclonal antibody blocking SARS-CoV-2
infection. Nat. Commun. 11, 2251 (2020).
16. Shi, R. et al. A human neutralizing antibody targets the receptor-binding site
of SARS-CoV-2. Nature 584, 120–124 (2020).
17. Cao, Y. et al. Potent neutralizing antibodies against SARS-CoV-2 identified by
high-throughput single-cell sequencing of convalescent patients’ B cells. Cell
182, 73–84 e16 (2020).
18. Chi, X. et al. A neutralizing human antibody binds to the N-terminal domain
of the Spike protein of SARS-CoV-2. Science 369, 650–655 (2020).
19. Weinreich, D. M. et al. REGN-COV2, a neutralizing antibody cocktail, in
outpatients with Covid-19. N. Engl. J. Med. 384, 238–251 (2021).
20. Lei, C. et al. Neutralization of SARS-CoV-2 spike pseudotyped virus by
recombinant ACE2-Ig. Nat. Commun. 11, 2070 (2020).
21. Glasgow, A. et al. Engineered ACE2 receptor traps potently neutralize SARS-
CoV-2. Proc. Natl Acad. Sci. USA 117, 28046–28055 (2020).
22. Chan, K. K. et al. Engineering human ACE2 to optimize binding to the spike
protein of SARS coronavirus 2. Science 369, 1261–1265 (2020).
23. Monteil, V. et al. Inhibition of SARS-CoV-2 infections in engineered human
tissues using clinical-grade soluble human ACE2. Cell https://doi.org/10.1016/
j.cell.2020.04.004 (2020).
24. Cho, H. et al. Bispecific antibodies targeting distinct regions of the spike
protein potently neutralize SARS-CoV-2 variants of concern. Sci. Transl. Med.
13, eabj5413 (2021).
25. De Gasparo, R. et al. Bispecific IgG neutralizes SARS-CoV-2 variants and
prevents escape in mice. Nature 593, 424–428 (2021).
26. Li, Z. et al. An engineered bispecific human monoclonal antibody against
SARS-CoV-2. Nat. Immunol. 23, 423–430 (2022).
27. Hanke, L. et al. A bispecific monomeric nanobody induces spike trimer dimers
and neutralizes SARS-CoV-2 in vivo. Nat. Commun. 13, 155 (2022).
28. Qian, K. & Hu, S. Ig-like ACE2 protein therapeutics: A revival in development
during the COVID-19 pandemic. MAbs 12, e1782600 (2020).
29. Miao, X. et al. A novel biparatopic hybrid antibody-ACE2 fusion that blocks
SARS-CoV-2 infection: implications for therapy. MAbs 12, 1804241 (2020).
30. Edara, V. V. et al. Infection and Vaccine-Induced Neutralizing-Antibody
Responses to the SARS-CoV-2 B.1.617 Variants. N. Engl. J. Med. 385, 664–666
(2021).
31. Lopez Bernal, J. et al. Effectiveness of Covid-19 Vaccines against the B.1.617.2
(Delta) Variant. N. Engl. J. Med. 385, 585–594 (2021).
32. Garcia-Beltran, W. F. et al. Multiple SARS-CoV-2 variants escape neutralization by
vaccine-induced humoral immunity. Cell 184, 2372–2383 e2379 (2021).
33. Tada, T. et al. Convalescent-phase sera and vaccine-elicited antibodies largely
maintain neutralizing titer against global SARS-CoV-2 variant spikes. mBio
12, e0069621 (2021).
34. Wang, P. et al. Antibody resistance of SARS-CoV-2 variants B.1.351 and
B.1.1.7. Nature 593, 130–135 (2021).
35. Wu, K. et al. Serum neutralizing activity elicited by mRNA-1273 vaccine. N.
Engl. J. Med. 384, 1468–1470 (2021).
36. Xie, X. et al. Neutralization of SARS-CoV-2 spike 69/70 deletion, E484K and
N501Y variants by BNT162b2 vaccine-elicited sera. Nat. Med. 27, 620–621 (2021).
37. Liu, J. et al. BNT162b2-elicited neutralization of B.1.617 and other SARS-
CoV-2 variants. Nature 596, 273–275 (2021).
38. Planas, D. et al. Reduced sensitivity of SARS-CoV-2 variant Delta to antibody
neutralization. Nature 596, 276–280 (2021).
39. Leen, A. M., Rooney, C. M. & Foster, A. E. Improving T cell therapy for
cancer. Annu Rev. Immunol. 25, 243–265 (2007).
40. Barry, M. & Bleackley, R. C. Cytotoxic T lymphocytes: all roads lead to death.
Nat. Rev. Immunol. 2, 401–409 (2002).
41. Baeuerle, P. A. & Reinhardt, C. Bispecific T-cell engaging antibodies for cancer
therapy. Cancer Res. 69, 4941–4944 (2009).
42. Hoffmann, M. et al. SARS-CoV-2 cell entry depends on ACE2 and TMPRSS2
and is blocked by a clinically proven protease inhibitor. Cell 181, 271–280. e278
(2020).
prevention and treatment of viral infections. NPJ Vaccines 2, 19 (2017).
49. Cao, Y. et al. Potent neutralizing antibodies against SARS-CoV-2 identified by
high-throughput single-cell sequencing of convalescent patients’ B cells. Cell
https://doi.org/10.1016/j.cell.2020.05.025 (2020).
50. Nimmerjahn, F. & Ravetch, J. V. Fcgamma receptors: old friends and new
family members. Immunity 24, 19–28 (2006).
51. Frenette, P. S., Pinho, S., Lucas, D. & Scheiermann, C. Mesenchymal stem cell:
keystone of the hematopoietic stem cell niche and a stepping-stone for
regenerative medicine. Annu Rev. Immunol. 31, 285–316 (2013).
52. Public Health England. Variants distribution of cases. https://www.gov.uk/
government/publications/covid-19-variants-genomically-confirmed-case-
numbers/variants-distribution-of-case-data-11-june-2021 (2021).
53. Baum, A. et al. Antibody cocktail to SARS-CoV-2 spike protein prevents rapid
mutational escape seen with individual antibodies. Science 369, 1014–1018 (2020).
54. Sun, Y. et al. Structure-based development of three- and four-antibody cocktails
against SARS-CoV-2 via multiple mechanisms. Cell Res. 31, 597–600 (2021).
55. Cho, H. et al. Ultrapotent bispecific antibodies neutralize emerging SARS-
CoV-2 variants. bioRxiv https://doi.org/10.1101/2021.04.01.437942 (2021).
56. Dogan, M. et al. Targeting SARS-CoV-2 infection through CAR-T-like bispecific
T cell engagers incorporating ACE2. Clin. Transl. Immunol. 11, e1421 (2022).
57. Zou, X. et al. Single-cell RNA-seq data analysis on the receptor ACE2 expression
reveals the potential risk of different human organs vulnerable to 2019-nCoV
infection. Front. Med. https://doi.org/10.1007/s11684-020-0754-0 (2020).
Acknowledgements
We thank members of the Core Facility of Microbiology and Parasitology of SHMC and
the Biosafety Level 3 Laboratory at Shanghai Medical College of Fudan University,
especially Qian Wang, Di Qu and Gaowei Hu. X.Y. was supported by the National
Natural Science Foundation of China (grant no. 32261143731 and 81971467), and Sheng
Yushou Foundation. L.L. was supported by the National Key R&D Program of China
under Grant number (2021YFC2300703 and 2022YFC2604102), Shanghai Municipal
Science and Technology Major Project (ZD2021CY001 to L.L. and W.X.) and the Pro-
gram of Shanghai Academic/Technology Research Leader (grant no. 20XD1420300).
Author contributions
X.Y., L.L, and YH.X. designed the project. F.L., W.X., X.Z., W.W., S.S., P.H., H.W., YQ.X.,
M.L., L.F., H.Z., Q.D., H.L., X.Q., J.L, X.W., S.J., and X.Y. performed the experiments.
F.L., X.Z., W.X., W.W., and X.Y. analyzed the results and wrote the manuscript with
input from all co-authors.
Competing interests
The authors declare no competing interests.
Additional information
Supplementary information The online version contains supplementary material
available at https://doi.org/10.1038/s42003-023-04955-3.
Correspondence and requests for materials should be addressed to Youhua Xie, Lu Lu or
Xuanming Yang.
Peer review information This manuscript has been previously reviewed at another
Nature Portfolio journal. Communications Biology thanks luca Varani, Roberto Speck
and the other, anonymous, reviewer(s) for their contribution to the peer review of this
work. Primary Handling Editors: Zhijuan Qiu and David Favero. A peer review file is
available. This document only contains reviewer comments and rebuttal letters for
versions considered at Communications Biology.
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| null |
10.1093_jncics_pkab068.pdf
|
Data Availability
The data underlying this article cannot be shared publicly due
to privacy restrictions of individuals that participated in the
study. Aggregated, deidentified data may be shared on reason-
able request to the corresponding author.
|
Data Availability The data underlying this article cannot be shared publicly due to privacy restrictions of individuals that participated in the study. Aggregated, deidentified data may be shared on reasonable request to the corresponding author.
|
JNCI Cancer Spectrum (2021) 5(5): pkab068
doi: 10.1093/jncics/pkab068
First published online 17 July 2021
Article
Project Forward: A Population-Based Cohort Among Young Adult
Survivors of Childhood Cancers
Joel Milam , PhD,1,2 * David R. Freyer
Katherine Y. Wojcik
, DO,1,3,4 Kimberly A. Miller
, PhD,7,8 Cynthia N. Ramirez, MPH,1 Anamara Ritt-Olson, PhD,1
, MD,9 Lourdes Baezconde-Garbanati, PhD,1 Michael Cousineau, PhD,1
, PhD,1,5 Jessica Tobin
Stefanie M. Thomas
, PhD,1,6
Denise Modjeski
, MS,1 Sapna Gupta
, MS,4 Ann S. Hamilton
, PhD1
1Department of Preventive Medicine, Keck School of Medicine, University of Southern California, Los Angeles, CA, USA; 2Departments of Medicine and Epidemiology
and Biostatistics, Chao Family Comprehensive Cancer Center,; University of California, Irvine, CA, USA; 3Children’s Hospital Los Angeles, Los Angeles, CA, USA; 4USC
Norris Comprehensive Cancer Center, Los Angeles, CA, USA; 5Department of Dermatology, Keck School of Medicine, University of Southern California, Los Angeles, CA,
USA; 6VA Greater Los Angeles Health Care System, Los Angeles, CA, USA; 7Public Health Sciences, Fred Hutchinson Cancer Center, Seattle, WA, USA; 8Department of
Epidemiology, University of Washington, WA, USA; and 9Department of Pediatric Hematology Oncology and Bone Marrow Transplantation, Cleveland Clinic Children’s
Hospital, Cleveland, OH, USA
*Correspondence to: Joel Milam, PhD, Department of Medicine, Department of Epidemiology and Biostatistics, Chao Family Comprehensive Cancer Center, University
of California, Irvine, 653 E. Peltason Dr, Irvine, CA 92697-7550, USA (e-mail: milamj@hs.uci.edu).
Abstract
Background: Childhood cancer survivors (CCS) face increased risk of morbidity and are recommended to receive lifelong
cancer-related follow-up care. Identifying factors associated with follow-up care can inform efforts to support the long-term
health of CCS. Methods: Eligible CCS (diagnosed between 1996 and 2010) identified through the Los Angeles County Cancer
Surveillance Program responded to a self-report survey that assessed demographic, clinical, health-care engagement, and
psychosocial risk and protective factors of recent (prior 2 years) cancer-related follow-up care. Weighted multivariable logistic
regression was conducted to identify correlates of care. All statistical tests were 2-sided. Results: The overall response rate
was 44.9%, with an analytical sample of n ¼ 1106 (54.2% Hispanic; mean [SD] ages at survey, diagnosis, and years since
diagnosis were 26.2 [4.9], 11.6 [5.4], and 14.5 [4.4] years, respectively). Fifty-seven percent reported a recent cancer-related
visit, with lower rates reported among older survivors. Having insurance, more late effects, receipt of a written treatment
summary, discussing long-term care needs with treating physician, knowledge of the need for long-term care, having a regu-
lar source of care, and higher health-care self-efficacy were statistically significantly associated with greater odds of recent
follow-up care, whereas older age, Hispanic or Other ethnicity (vs non-Hispanic White), and years since diagnosis were asso-
ciated with lower odds of recent care (all Ps < .05). Conclusions: Age and ethnic disparities are observed in receipt of follow-
up care among young adult CCS. Potential intervention targets include comprehensive, ongoing patient education; provision
of written treatment summaries; and culturally tailored support to ensure equitable access to and the utilization of care.
Improvements in childhood cancer treatment regimens have
resulted in 5-year survival rates of more than 80% (1,2).
Unfortunately, the majority of childhood cancer survivors (CCS)
experience late adverse effects of cancer treatment, which often
become clinically apparent years after treatment ends (3). Many
of these late effects are severe or life-threatening and cause a
range of symptomatic health problems, impaired function, and
reduced quality of life (3-6). To facilitate prevention, detection,
and management of late effects, the Children’s Oncology Group
developed the Long-Term Follow-Up Guidelines for Survivors of
Childhood, Adolescent and Young Adult Cancer, recommending
that all CCS receive lifelong, risk-adapted surveillance and sur-
vivorship care (7).
Despite these recommendations, rates of health-care en-
gagement among CCS decline with age and time since treat-
ment, especially as CCS enter their 20s (5,8-10). Because this
attrition coincides with the rising cumulative incidence of late
effects, it results in multiple missed opportunities for primary
and secondary prevention (8). Studies among racial and ethnic
minority CCS are also needed (11-14). Disparities in health-care
Received: 29 January 2021; Revised: 18 May 2021; Accepted: 14 July 2021
© The Author(s) 2021. Published by Oxford University Press.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/),
which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
1 of 10
2 of 10 |
JNCI Cancer Spectrum, 2021, Vol. 5, No. 5
utilization among CCS have been observed by ethnicity, with
higher proportions of non-Hispanic Whites (vs Hispanic) report-
ing receipt of cancer-related follow-up care, an association not
explained by health insurance coverage (8). However, such dis-
parities are not observed uniformly, suggesting variation in
study samples, or individual- and/or system-level factors asso-
ciated with health-care access (15-17). Underlying drivers of
age- and race- and ethnicity-related disparities in CCS follow-
up care need continued investigation, particularly among ethni-
cally diverse and more recently treated cohorts, as prior studies
of CCS have primarily included non-Hispanic Whites and CCS
diagnosed before 1999 and thus have been treated before nu-
merous advances in treatment and survivorship care practices
(eg, the broader use of survivorship care plans and survivorship
clinics) and the impact of the Afforda ble Care Act (ACA) (18,19).
Prior research among CCS on access to and utilization of
cancer-related follow-up care has focused predominantly on
sociodemographic and clinical factors and less on organiza-
tional and psychosocial factors. For example, little is known
about how many CCS have a regular source of care, the types of
providers seen for cancer-related follow-up care, and patient
knowledge of their health-care needs, as well as their confi-
dence in navigating the health-care system (ie, health-care self-
efficacy). Understanding these factors and their association
with health-care utilization in early adulthood will clarify op-
portunities for intervention to prepare and support young adult
CCS for managing their health care independently.
To address these gaps, we assessed the prevalence of clinical,
demographic, psychosocial, and care-related factors, as well as
their associations with receipt of cancer-related follow-up care
in a diverse, population-based cohort of young adult CCS. We hy-
pothesized that health insurance, greater knowledge of follow-
up recommendations, younger age, non-Hispanic White (vs
Hispanic) ethnicity, and higher health-care self-efficacy would
be associated with greater use of cancer-related follow-up care.
Methods
Study Population
is a cancer
The Project Forward Cohort
registry–derived,
population-based study of risk and protective factors of cancer-
related follow-up care among young adult CCS. Data on all cases
were obtained from the Los Angeles Cancer Surveillance
Program, which is the cancer registry for Los Angeles County
(part of the Surveillance, Epidemiology, and End Results pro-
gram). Eligible participants included CCS who were diagnosed
up to 19 years of age between 1996 and 2010 in Los Angeles
County, California, with any cancer diagnosis (stage 2 or greater,
except for brain and melanoma, which included stage 1 or
greater) and who were at least 5 years postdiagnosis and aged
18-39 years when the study was launched in 2015.
Procedure
Recruitment methods were based on our pilot work (20) and in-
cluded introductory postcards and self-report survey mailings in
English and Spanish with the option to complete the survey on-
line, over the phone, or in person in either language. Mailings
also included a brochure describing the study and an informa-
tional brochure concerning the California Cancer Registry.
Reminder mailings and calls occurred for those who did not re-
spond. Although initial contact information (both recent address
and address at diagnosis) is provided by the registry, we per-
formed address tracing to improve accuracy of addresses and
retraced potential participants who were difficult to contact (eg,
in cases of post office returns) before being classified as lost after
all efforts (see Figure 1). Participants received $20 cash and a lot-
tery entry ($300). Participants who self-reported receiving cancer
treatment less than 2 years prior to the study (n ¼ 60) were ex-
cluded from analyses, with the exception of those with chronic
myeloid leukemia due to the routine use of protracted mainte-
nance therapy with tyrosine kinase inhibitors. Procedures were
approved by the California State Committee for the Protection of
Human Subjects, the institutional review board at the University
of Southern California, and the California Cancer Registry.
Measures
Primary outcome. The primary outcome was receipt of cancer-
related follow-up care in the prior 2 years (1 ¼ yes, 0 ¼ no). This
was obtained via self-report and defined as any health-care visit
where a provider completed an examination or tests to assess
health problems from prior cancer or the cancer treatment they
received, similar to an item used in the Childhood Cancer
Survivor Study (5). Participants also indicated the type of
health-care provider seen for this care (9).
Demographic and clinical factors. Age at diagnosis, age at survey,
cancer diagnosis (site and histology), diagnosing hospital, sex,
race and ethnicity (non-Hispanic White, Hispanic, Asian, and
other), and quintiles of neighborhood socioeconomic status
(nSES) at diagnosis were obtained from the cancer registry. nSES
is a census-based composite score (relative to California’s state-
wide distribution; 1 ¼ lowest quintile nSES, 5 ¼ highest quintile
nSES), reflecting 7 indicators, including education index, per-
cent persons above 200% poverty line, percent persons with a
blue-collar job, percent persons employed, median rental, me-
dian value of owner-occupied housing unit, and median house-
hold income (21,22). Current health insurance (private, public,
other, or uninsured) was self-reported.
As described in Intensity of Treatment Rating Scale 3.0, clini-
cal and treatment information collected from medical charts is
used to categorize cancer cases into 4 levels of treatment inten-
sity (1 ¼ least intensive [eg, surgery only]; 2 ¼ moderately inten-
sive [eg, chemotherapy or radiation]; 3 ¼ very intensive [eg, 2 or
more treatment modalities]; and 4 ¼ most intensive [eg, relapse
regimens]) (23). Because of the prohibitive cost of accessing
medical charts for our large sample, we developed a novel
method of calculating treatment intensity using cancer registry
data as a proxy for chart data. Using our pilot study sample, for
which treatment intensity had been previously determined us-
ing medical chart data, concordance between treatment inten-
sity estimated by our method and treatment
intensity
estimated by the original chart-based method was assessed
with Cohen Kappa statistic to validate this approach showing
reasonable agreement between methods. A full description of
the validation of this method of estimation of treatment inten-
sity using cancer registry and self-reported data is available (24).
Self-reported late effects of cancer treatment included 11
items (eg, inability to have children, heart problems, difficulties
with learning and memory, eyesight). Items were selected based
on the most prevalent chronic conditions previously docu-
mented among CCS (3,25-27). Summary scores were categorized
as none, 1, or 2 or more late effects.
J. Milam et al.
| 3 of 10
Registry cases
iden(cid:2)fied/screened (n = 2788)
Ineligible (n = 196)
Incompetent/too ill (54)
(cid:2) Deceased (61)
(cid:2)
(cid:2) Cancer not confirmed at screening (41)
(cid:2) MD refused (20)
(cid:2)
In prison (11)
(cid:2)
Ineligible a(cid:3)er screening/linkage to registry (9)
(cid:2) Denied cancer (n = 47)
(cid:2) Did not meet inclusion criteria (n = 21)
Eligible & approached
(n = 2592)
Exclusions (n = 1426)
(cid:2) Declined to par(cid:2)cipate (207)
(cid:2) Requested no further contact (13)
(cid:2) Gatekeeper refusal (64)
(cid:2) Passive pa(cid:2)ent refusal (359)
(cid:2) Out of the country (9)
(cid:2) Lost a(cid:3)er all other efforts (774)
Enrolled
(n = 1166)
Addi(cid:2)onal exclusions (n = 60)
(cid:2) Reported on treatment in prior two
years (n = 60)
Analy(cid:2)c sample
(n = 1106)
Figure 1. Project forward CONSORT diagram. MD ¼ physician in registry record.
Indicators of health-care engagement. These included having dis-
cussed future cancer-related health-care needs with any doctor,
ever receiving a written cancer treatment summary, having a
regular doctor for noncancer care, and ever sharing this written
treatment summary with current doctors, which were separate,
self-reported variables (1 ¼ yes, 0 ¼ no or not sure) (28).
Participants reported whether they believed they needed
lifelong follow-up care (1 ¼ yes, 0 ¼ no or not sure).
Psychosocial factors. Health-care self-efficacy (HCSE) was mea-
sured by 3 items related to perceived confidence in making
appointments with physicians: obtaining cancer-related follow-
up care; and discussing concerns with physicians, adapted from
the Chronic Disease Self-Efficacy Scales from the Stanford
Patient Education Research Center (29). Responses included
“not at all confident” [0], “somewhat confident” [1], and “totally
confident” [2] and were summed to create a total score that
could range from 3 to 9 with higher scores representing greater
HCSE (Cronbach alpha ¼ 0.72).
Family influence was measured using a single item asking
how often family has influenced the health-care decisions of
the participants (1 ¼ often or occasionally or 0 ¼ never).
Depressive symptoms were assessed using the Center for
Epidemiologic Studies Depression Scale (30). This scale includes
20 items about how often participants experienced symptoms
in the past week, such as negative affect, sleep disruption, and
feelings of hopelessness. Response options range from “rarely
or none of the time” [0] to “most or all of the time” [3]. Scores
were summed with a possible range of 0-60 (Cronbach alpha ¼
0.80) and dichotomized (1/0) at a score of 16 or greater to indi-
cate likely depression.
Statistical Analysis
Prevalence rates of the different components of survivorship
care were examined both individually and cumulatively (to re-
flect receipt of multiple follow-up care recommendations) (31).
4 of 10 |
JNCI Cancer Spectrum, 2021, Vol. 5, No. 5
This approach is similar to that used previously for identifying
gaps in the implementation of recommended care for chronic
diseases (eg, HIV, diabetes), using a prevalence-based “cascade
of care” to highlight proportions receiving multiple dimensions
of care (32,33).
Bivariate and multivariable logistic regression analyses were
conducted to identify factors associated with receipt of cancer-
related follow-up care. The multivariable model was weighted
to account for survey response bias (correcting for differences in
the distribution of sex, race and ethnicity, and nSES between
survey responders and nonresponders) (34). Diagnosing hospital
data were obtained from the cancer registry, and we incorpo-
rated clustered standard errors in all models to control for
within-hospital correlations related to follow-up care.
Age at survey, sex, and race and ethnicity (as a proxy for
unmeasured cultural and societal factors known to impact
health-care access) were adjusted for in the multivariable
model (35). The entry criteria for other variables to be retained
in the multivariable model were a relationship with follow-up
care in bivariate analyses (P (cid:2) .10) (36), which included years
since diagnosis, nSES, health insurance, number of late effects,
treatment intensity, receipt of a written cancer treatment sum-
mary, having a regular doctor for noncancer care, discussion of
needed follow-up care with doctor, knowledge of the need for
long-term follow-up care, HCSE, and family influence over
health-care decisions. Depressive symptoms scores were di-
chotomized (0/1) at the clinical cut-point of 16, suggestive of de-
pression. Health insurance was dichotomized to insured or
uninsured because there was no statistically significant differ-
ence in follow-up care between public and private insurance
statuses, and less than 2% of the sample reported “other” insur-
ance. The variable, “shared a written treatment summary with
current doctor,” was included in the cascade of care for descrip-
tive purposes but was excluded from the final model because of
its linear dependence on receipt of a written treatment sum-
mary. Listwise deletion was used to handle missing data (as in-
dicated). Statistical significance was determined as a P-value
less than .05 for 2-sided hypothesis tests. Data analyses were
conducted in SAS statistical software (SAS Institute Inc, version
9.4, Cary, NC).
Results
Of 2788 eligible cases, 196 were subsequently deemed ineligible
(eg, too ill or incompetent, deceased) and 774 were lost (ie, no
valid contact information; Figure 1). We recruited 1166 respond-
ents. The response rate (denominator excludes confirmed ineli-
gible) was 44.9%. Among those successfully contacted (eg,
verified address and phone; n ¼ 1764), the participation rate (de-
nominator excludes confirmed ineligible and lost) was 64%:
39.3% (n ¼ 434) completed the survey online, 1.2% (n ¼ 13) over
the phone, and the rest on paper (n ¼ 659); 1.2% (n ¼ 13)
responded in Spanish. Responder analyses were performed us-
ing available demographic (at time of sample selection) and
clinical variables from the registry data (Table 1). There were no
differences between nonresponders (n ¼ 1426) and responders
(n ¼ 1166) in age at diagnosis, years since diagnosis, age, cancer
diagnosis, or stage of disease. However, those who responded
were more likely to be female (vs male) and non-Hispanic White
and have higher (vs lower) nSES. Our analyses excluded those
who self-reported as on treatment within the prior 2 years
(non–chronic myeloid leukemia, n ¼ 60), and the final analytic
sample size was 1106 (diagnosed across 68 sites).
Participants (54.2% Hispanic; 46.0% female) had a mean age
of 11.6 (SD ¼ 5.4) years at diagnosis and a mean age at survey
completion of 26.2 (SD ¼ 4.9) years (Table 2). At the time of sur-
vey, participants were an average of 14.5 (SD ¼4.4; range ¼ 5-22)
years from diagnosis. The most common cancer diagnoses in-
cluded leukemia (36.1%), lymphoma (21.7%), and brain (15.2%).
Of the participants, 57% reported a cancer-related follow-up
care visit in the prior 2 years. The most common health-care
providers for cancer-related follow-up care included adult
oncologists (41.8%), pediatric oncologists (29.9%), and primary
care physicians (15.5%) (not mutually exclusive). Rates of en-
dorsement for key components of survivorship care, including
discussing follow-up care, knowledge of the need for follow-up
care, receiving a written treatment summary, and sharing that
summary with doctors, individually ranged from 28.3% to 63.1%
(Figure 2). Examining these indicators cumulatively, the survi-
vorship cascade decreased at each step of care, resulting in
11.9% reporting yes to all measured follow-up care components
(cumulative bars in Figure 2).
In the adjusted multivariable model (Table 3), years since di-
agnosis, current age, Hispanic and Other ethnicity (vs non-
Hispanic White), and age at survey were statistically signifi-
cantly negatively associated with follow-up care (all Ps < .05).
Health insurance, number of late effects, receipt of a written
treatment summary, having a regular doctor for noncancer
care, discussion of needed follow-up care with physician,
knowledge of the need for long-term follow-up care, and HCSE
were all statistically significantly positively associated with re-
ceipt of recent care (all Ps< .05).
In exploratory models, we examined multivariable models
stratified by Hispanic ethnicity (Table 4). These results were
largely consistent between Hispanics and non-Hispanics, with
the exception of nSES, which showed a stronger positive associ-
ation with receipt of recent care among non-Hispanics.
Discussion
Long-term survivorship care is critical for health maintenance
among CCS, but determinants of engagement in care are
complex and vary by numerous patient- and system-level fac-
tors. This study leveraged a sociodemographically diverse,
population-based sample to examine novel correlates of cancer-
related health-care engagement, including health-care organi-
zational factors. We found each care component to have a sta-
tistically significant (all Ps < .01) independent association with
follow-up care, suggesting that each represents a unique indica-
tor of engagement. However, only 12% of the sample endorsed
all components, indicating the critical need for improvement of
the full spectrum of survivorship care. Because receiving (43.9%)
and sharing (28.1%) a written treatment summary were the least
endorsed elements, these represent components amenable to
improvement through practical interventions to increase utili-
zation of care (37,38).
In addition to equipping CCS themselves with a thorough
understanding of follow-up recommendations, their future,
nononcology physicians who may not be familiar with recom-
mended survivorship guidelines must also be supported. In a
study of primary care physicians who cared for CCS, 48% had
never or almost never received a cancer treatment summary,
two-thirds were not comfortable caring for CCS, and few cor-
rectly identified guideline-recommended surveillance for senti-
nel late effects such as cardiac dysfunction (39). Those providers
reported having access to clinical surveillance guidelines and
Table 1. Differences between study responders and nonresponders on cancer registry variables (n ¼ 2592 diagnosed in 1996-2010; Los Angeles
County)
J. Milam et al.
| 5 of 10
Characteristic
Age at diagnosis, y
0-4
5-9
10-14
15-19
Years since diagnosis (2015)
5-9
10-14
15-22
Sex
Male
Female
Age in 2015, y
18-20
21-25
26-30
31-39
Race and ethnicity
Non-Hispanic White
Hispanic
Asian
Other
Cancer diagnosis
Lymphoma
Leukemia
Brain and other nervous system
Endocrine system
Skin
Otherd
Stage of disease (missing n ¼ 2)
Local
Regional
Distant
Socioeconomic status
Lowest
Low
Medium
High
Highest
Nonresponder (n ¼ 1426)a
Responder (n ¼ 1166)b
187 (56.8)
281 (56.4)
361 (51.4)
551 (55.5)
358 (54.7)
480 (55.1)
588 (55.1)
834 (59.4)
592 (49.9)
314 (56.7)
538 (55.8)
345 (52.0)
229 (55.9)
309 (47.6)
815 (57.3)
106 (49.5)
196 (63.8)
257 (51.3)
479 (54.1)
260 (58.7)
79 (53.74)
60 (57.14)
291 (57.1)
271 (57.7)
398 (52.4)
755 (55.5)
521 (59.1)
314 (55.1)
225 (55.7)
169 (47.5)
197 (51.8)
142 (43.2)
217 (43.6)
342 (48.7)
442 (44.5)
296 (45.3)
391 (44.9)
479 (44.9)
571 (40.6)
595 (50.1)
240 (43.3)
427 (44.3)
318 (48.0)
181 (44.2)
340 (52.4)
607 (42.7)
108 (50.5)
111 (36.7)
244 (48.7)
407 (45.9)
183 (41.3)
68 (46.26)
45 (42.86)
219 (42.9)
199 (42.3)
361 (47.6)
606 (44.5)
361 (40.9)
256 (44.9)
179 (44.3)
187 (52.5)
183 (48.2)
Test statistic
v2
4.64
Pc
.20
.0268
.99
23.39
<.001
3.32
.34
29.68
<.001
6.69
.24
5.12
.16
15.67
.004
aAmong those eligible and approached.
bAmong those initially enrolled.
c Two-sided, v2 tests.
dOral cavity and pharynx, digestive system, respiratory system, soft tissue including heart, urinary system, eye and orbit, and miscellaneous.
receiving patient-specific information would be most likely to
improve their quality care for survivors (39). Therefore, care co-
ordination and information sharing between oncology and pri-
mary care physicians are needed to support survivors.
Specialized cancer survivor programs are unlikely to fully sup-
port the growing number of CCS, and indeed, more than 15.5%
of our sample reported seeing a primary care physician for their
follow-up care, underscoring the importance of equipping pri-
mary care providers to care for this unique population.
Our findings demonstrate that although roughly half the sam-
ple reported recent cancer-related follow-up care, rates differed
by race and ethnicity, consistent with prior research (8,9,18,40).
Among Hispanics, the odds of reporting recent follow-up care
were 31% lower compared with non-Hispanic Whites. This dis-
parity was not explained by nSES, health insurance, or treatment
differences, so additional factors need assessment to inform
efforts to improve equity in access to care. For example, failure to
adequately account for cultural characteristics and beliefs around
health and disease in the provision of care may partially drive
ethnic disparities by posing a barrier to patients’ understanding
of health-care providers’ instructions (41). Other factors that may
underlie ethnic differences in access to care include conceptions
about Western medicine, fatalism, or risk perception (41-44).
Investigation of sociocultural factors (eg, culturally based beliefs
about disease, language, understanding of insurance, neighbor-
hood resources) mediating disparities in follow-up care among
CCS is underway to clarify subgroups at greater risk of disengage-
ment from care and potential areas to target tailored support (14).
The observed decline in rates of follow-up care with age (and
years since diagnosis) is consistent with prior research showing
6 of 10 |
JNCI Cancer Spectrum, 2021, Vol. 5, No. 5
Table 2. Descriptive statistics of registry and self-report data from participants enrolled in the Project Forward Cohort (n ¼ 1106)
Variable
Cancer registry data
Age at diagnosis, y
Mean (SD) [range]
0-4
5-9
10-14
15-19
Years since diagnosis, y
Mean (SD) [range]
5-9
10-14
15-22
Sex
Male
Female
Age at survey completion, y
Mean (SD) [Range]
Age group at survey completion, y
18-20
21-25
26-30
31-41
Race and ethnicity
Non-Hispanic White
Hispanic
Asian
Other
Cancer diagnosis
Leukemia
Lymphoma
Brain and other nervous system
Endocrine system
Bones and joints
Skin
Genital system
Other
Treatment intensityc
1 (least intensive)
2 (moderately intensive)
3 (very intensive)
4 (most intensive)
Socioeconomic status at diagnosis
Lowest
Low
Medium
High
Highest
Self-report datad
Health insurance (missing n ¼ 35)
Private
Public
Other/Unknown
None
Health-care self-efficacy (missing n ¼ 20)e
Mean (SD) [range]
High levels of depressive symptoms (missing n ¼ 93)f
Family influence health-care decisions (yes; missing n ¼ 17)
Has doctor for regular (noncancer) health checkups (missing n ¼ 19)
Had any health-care visit in prior 2 years (missing n ¼ 0)
Discussed cancer-related follow-up care needs with a doctor (yes, in the last
2 years; missing n ¼ 20)
Knowledge of need of lifelong follow-up care (missing n ¼ 16)
No. (Weighted %)
11.60 (5.37) [0-19]
155 (14.3)
214 (19.5)
329 (29.8)
408 (36.5)
14.54 (4.37) [5-22]
174 (15.7)
354 (31.7)
578 (52.6)
544 (54.0)
562 (46.0)
26.15 (4.87) [18-41]
131 (11.7)
422 (38.7)
339 (30.3)
214 (19.3)
324 (27.4)
570 (54.2)
107 (9.2)
105 (9.2)a
392 (36.1)
240 (21.7)
169 (15.2)
60 (5.1)
56 (5.0)
41 (3.5)
56 (5.0)
92 (8.2)b
69 (6.0)
344 (30.9)
544 (49.9)
149 (13.3)
344 (34.8)
238 (21.2)
167 (14.6)
180 (14.6)
177 (14.8)
631 (57.2)
321 (31.1)
17 (1.8)
102 (10.0)
4.83 (1.3) [0-6]
353 (35.0)
935 (85.7)
783 (71.4)
851 (76.4)
561 (51.1)
698 (63.7)
(continued)
Table 2. (continued)
Variable
Received cancer-related follow-up care (missing n ¼ 19)
Received written cancer treatment summary (missing n ¼ 20)
Shared written treatment summary with other doctors (missing n ¼ 1)
J. Milam et al.
| 7 of 10
No. (Weighted %)
632 (57.7)
481 (43.9)
310 (28.1)
aIncluding 53 Black, 39 Middle Eastern, 1 non-Hispanic, American-Indian, and 12 other/unknown.
bOral cavity and pharynx, digestive system, respiratory system, soft tissue including heart, urinary system, eye and orbit, and miscellaneous.
cIntensity of Treatment Rating (based on both registry and self-report data, see Methods).
dBased on self-report data (all missing less than 5%, except for depressive symptoms, which was 8% missing).
eExamined as a continuous variable.
fCenter for Epidemiological Studies-Depression score of 16 or greater.
Figure 2. Cascade of recommended long-term follow-up care. Data reflect 1106 childhood cancer survivors in a population-based cohort of Los Angeles County (diag-
nosed in 1996-2010). Raw percentages (white bars) are mutually exclusive, and cascade percentages (black bars) are cumulative, from left to right (eg, the last column
indicates that 11.9% of the sample answered yes for all categories). The sequence of care elements is based on clinician feedback and does not represent a prescriptive
causal pathway.
a notable drop in the period of emerging adulthood (primarily
occurring between ages 18 and 25 years) (5,8,18,45). In our study,
the odds of recent care among those aged 31-41 years were 65%
lower compared with those ages 18-20 years. CCS in their early
20s are especially vulnerable to the effects of interrupted health
insurance due to the typical losses of state Children’s Health
Insurance Program coverage at age 21 years and of parent-
based private insurance coverage at age 26 years. Although pas-
sage of the ACA in 2010 expanded health insurance access for
young adults, 10% of our cohort was uninsured, and having in-
surance was associated with 106% greater likelihood of report-
ing recent follow-up care. Because follow-up care remains
suboptimal despite the widespread implementation of the ACA,
future work should examine discontinuity of coverage, high
deductibles, and/or partial coverage for screening as barriers to
follow-up care.
Declines in health-care engagement with age are likely
explained, in part, by competing developmental tasks, as young
adulthood is a time marked by major transitions and acquired
responsibilities (45). The transition from the pediatric oncology
setting to adult-focused care should ideally include interpro-
vider communication, involvement of family to discuss the
transition of responsibility, and patient education to support
health-care independence (eg,
information regarding prior
treatment exposure, health risks, health insurance, finding a
new provider) (46-48). However, survivors often transition by
default through simply aging out of pediatric care, which leads
to severe attrition to follow-up and reactive medical care (49).
Standardized transition assessments and patient navigation
systems may enable more CCS to successfully transition to, and
remain engaged in, adult survivor–focused care as they age with
unique health needs (50).
HCSE, the perceived ability to manage one’s health, was a
statistically significant (P < .001)
independent facilitator of
follow-up care. HCSE may promote and be promoted by engage-
ment in the health-care system. For example, attendance at a
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JNCI Cancer Spectrum, 2021, Vol. 5, No. 5
Table 3. Univariate and multivariable logistic regression models of receipt of cancer-related follow-up care (within prior 2 years) among child-
hood cancer survivors (diagnosed in 1996-2010; Los Angeles County)a
Bivariate analyses
Multivariable model
Characteristic
Years since diagnosis
Age at survey completion, y
18-20
21-25
26-30
31-39
Female (vs Male)
Race and ethnicity (relative to non-Hispanic White)
Non-Hispanic White
Hispanic
Asian
Other
Socioeconomic status (relative to lowest group)
Lowest
Low
Medium
High
Highest
Health insurance (any vs bone)
High levels of depressive symptoms
No. of late effects (relative to none)
0
1
(cid:3)2
Treatment intensity
Received written cancer treatment summary
Has doctor for regular (noncancer) health checkups
Discussed cancer-related follow-up care needs
with a doctor (in the last 2 years)
Knowledge of need of lifelong follow-up care
Health-care self-efficacy
Family influence health-care decisions
OR (95% CI)
0.88 (0.85 to 0.90)
1.00 (referent)
1.69 (1.31 to 2.19)
0.70 (0.54 to 0.92
0.45 (0.33 to 0.61)
1.39 (1.09 to 1.77)
1.00 (referent)
0.81 (0.59 to 1.11)
0.75 (0.43 to 1.29)
0.89 (0.61 to 1.31)
1.00 (referent)
0.89 (0.66 to 1.19)
1.06 (0.75 to 1.49)
1.59 (1.13 to 2.24)
1.09 (0.78 to 1.52)
3.05 (1.96 to 4.75)
0.93 (0.71 to 1.21)
1.00 (referent)
1.23 (0.89 to 1.69)
1.51 (1.10 to 2.07)
1.28 (1.10 to 1.50)
2.72 (2.10 to 3.52)
2.03 (1.54 to 2.67)
3.28 (2.54 to 4.24)
3.53 (2.71 to 4.60)
1.35 (1.23 to 1.48)
1.36 (0.96 to 1.93)
P
<.001
—
<.001
.01
<.001
.01
—
.18
.29
.54
—
.42
.74
.01
.60
<.001
.57
—
.21
.01
.002
<.001
<.001
<.001
<.001
<.001
.08
Adjusted OR (95% CI)
0.88 (0.84 to 0.92)
1.00 (referent)
0.65 (0.50 to 0.85)
0.32 (0.22 to 0.48)
0.35 (0.24 to 0.50)
1.16 (0.86 to 1.58)
1.00 (referent)
0.69 (0.51 to 0.95)
0.83 (0.52 to 1.31)
0.69 (0.48 to 0.99)
1.00 (referent)
0.92 (0.66 to 1.26)
1.12 (0.76 to 1.65)
1.01 (0.67 to 1.52)
0.93 (0.62 to 1.39)
2.06 (1.28 to 3.32)
(not included)
1.00 (referent)
1.41 (1.08 to 1.83)
1.54 (1.23 to 1.92)
1.18 (0.92 to 1.52)
1.47 (1.16 to 1.87)
1.47 (1.13 to 1.92)
1.95 (1.49 to 2.55)
3.57 (2.90 to 4.39)
1.23 (1.09 to 1.39)
0.90 (0.59 to 1.38)
P
<.001
—
.002
<.001
<.001
.34
—
.02
.42
.04
—
.59
.56
.97
.73
.003
—
—
.01
<.001
.20
.002
.005
<.001
<.001
<.001
.63
aAll logistic regression models adjust for clustering at diagnosing hospital. All variables are included, and mutually adjusted for, in the multivariable model except for
depressive symptoms (which was not statistically significant in the bivariate analyses). P values are 2-sided. CI ¼ confidence interval; OR ¼ odds ratio; — indicates no P
value.
survivorship clinic equips survivors with greater knowledge
about their disease, health risks, and preventive behaviors,
which may contribute to greater self-efficacy (51). In turn,
greater HCSE supports survivors in seeking out follow-up care
and maintaining long-term surveillance. Research among adult
cancer survivors has shown that receiving a verbal explanation
of follow-up care plans was statistically significantly associated
with higher HCSE, and higher HCSE was associated with lower
rates of hospitalization, possibly because of the improved ability
to manage health preventively (52). Enhancing HCSE through
comprehensive patient education can support lifelong health
management among CCS.
Strengths of this study include the ethnically diverse, re-
cently diagnosed, population-based sample with rich survey
data. Our response rate was similar to other registry-based epi-
demiologic studies of cancer survivorship, despite the chal-
lenges of recruiting a younger, more geographically mobile
population with a longer time since diagnosis (53,54). We were
able to address response bias by weighting our analyses on de-
mographic factors related to response (eg, sex). Although we
were unable to evaluate nonregistry variables associated with
likelihood of study participation (eg, current insurance status),
as they were unavailable for survey nonresponders, we believe
recruitment bias in this cohort is substantially lower than
hospital-based studies where study participants generally have
greater health-care access.
Additional limitations include the cross-sectional nature of
the data, which inhibits causal inference. For example, the posi-
tive association between late effects and follow-up care may be
due to CCS seeking care because of late effects and/or health-
care providers effectively identifying late effects. Analyses were
restricted to those diagnosed in 1 geographical region and may
not be generalizable to other areas (eg, with different geographi-
cally related characteristics related to health-care access).
Additionally, the cascade of care does not reflect a unidirec-
tional, prescriptive causal pathway. Longitudinal data are
needed to clarify causal pathways to better understand optimal
points of intervention to maximize the long-term health of CCS.
Finally, more in-depth assessments of perceived risk, risk-based
surveillance, and care received (eg, chart abstract data validat-
receipt of guideline-concordant screening
ing self-report,
exams) can further contextualize CCS knowledge and their
health-care utilization and are the focus of ongoing work.
Long-term follow-up care is essential to mitigate the height-
ened risk of morbidity among CCS. With growing numbers of
cancer survivors, greater efforts are needed to increase health-
J. Milam et al.
| 9 of 10
Table 4. Multivariable logistic regression models of receipt of cancer-related follow-up care (within prior 2 years), stratified by ethnicity
(Hispanic, non-Hispanic)a
Hispanic (n ¼ 570)
Non-Hispanic (n ¼ 536)
Characteristic
Years since diagnosis
Age at survey completion, y
18-20
21-25
26-30
31-39
Female (vs Male)
Socioeconomic status (relative to lowest)
Lowest
Low
Medium
High
Highest
Health insurance (any vs none)
No. of late effects (relative to none)
0
1
(cid:3)2
Treatment intensity
Received written cancer treatment summary
Has doctor for regular (non-cancer) health checkups
Discussed cancer-related follow-up care needs
with a doctor (in the last 2 years)
Knowledge of need of lifelong follow up care
Health-care self-efficacy
Family influence health-care decisions
OR (95% CI)
0.87 (0.82 to 0.93)
1.00 (referent)
0.63 (0.37 to 1.07)
0.32 (0.18 to 0.55)
0.30 (0.13 to 0.66)
1.00 (0.66 to 1.51)
1.00 (referent)
0.64 (0.45 to 0.91)
0.92 (0.43 to 2.00)
0.75 (0.42 to 1.36)
1.57 (0.75 to 3.28)
1.53 (1.00 to 2.35)
1.00 (referent)
1.15 (0.78 to 1.69)
1.67 (1.10 to 2.53)
1.12 (0.65 to 1.94)
1.37 (1.04 to 1.79)
1.70 (1.20 to 2.40)
2.40 (1.82 to 3.16)
3.93 (2.78 to 5.56)
1.25 (1.08 to 1.45)
0.69 (0.39 to 1.21)
P
<.001
—
.08
<.001
.004
.99
—
.01
.84
.34
.23
.049
—
.47
.02
.67
.03
.004
<.001
<.001
.004
.19
Adjusted OR (95% CI)
0.88 (0.84 to 0.93)
1.00 (referent)
0.66 (0.43 to 1.01)
0.31 (0.20 to 0.48)
0.44 (0.20 to 1.00)
1.28 (0.81 to 2.03)
1.00 (referent)
3.09 (1.14 to 8.37)
2.82 (1.50 to 5.31)
2.47 (1.09 to 5.57)
2.00 (0.91 to 4.38)
2.98 (1.06 to 8.32)
1.00 (referent)
2.17 (1.47 to 3.19)
1.72 (1.02 to 2.92)
1.17 (0.98 to 1.41)
1.64 (1.16 to 2.33)
1.24 (0.78 to 1.97)
1.44 (0.93 to 2.23)
3.70 (2.41 to 5.68)
1.25 (1.08 to 1.53)
1.24 (0.77 to 1.98)
P
<.001
—
.06
<.001
.049
.28
—
.003
.001
.03
.08
.04
—
<.001
.04
.09
.007
.36
.10
<.001
.04
.38
aAll models adjust for clustering at diagnosing hospital. All variables are included, and mutually adjusted for, in each multivariable logistic regression model. P values
are 2-sided. CI ¼ confidence interval; OR ¼ odds ratio; — indicates no P value.
care engagement as survivors age and to minimize ethnic dis-
parities in access. Based on these results, pragmatic approaches
for promoting preventive health management among CCS in-
clude patient and provider education, written treatment sum-
maries, and standardized plans for transitioning CCS from the
pediatric to adult care setting.
Funding
This work was supported by the National Institute on Minority
Health and Health Disparities of the National Institutes of
Health (grant number 1R01MD007801) and the National
Cancer Institute (grant numbers P30CA014089, T32CA009492).
Jessica Tobin was also supported by the VA Office of Academic
Affiliations through the Advanced Fellowship Program in
Health Services Research and Development. The contents do
not represent the views of the U.S. Department of Veterans
Affairs or the United States Government.
Notes
Role of the funder: The study funders played no role in the de-
sign of the study; the collection, analysis, and interpretation of
the data; the writing of the manuscript; and the decision to sub-
mit the manuscript for publication.
Disclosures: The authors have no conflicts of
disclose.
interest to
Author contributions: Conceptualization- JM, AH, DF. Data cura-
tion- JT. Formal analysis- JM, CR, JT. Funding acquisition- JM.
Investigation- JM, DM, CR, JT, KW, AH. Methodology- JM, AH, CR.
Project administration- JM, AH, DM. Resources- SG. Software-
JT. Supervision- JM, AH, LB, MC. Visualization- JM, CR. Writing-
original draft- JM, JT, CR. Writing- review & editing- JM DF KM JT
KW CR AR ST LB MC DM SG AH.
Prior presentations: This research was previously presented in
part at the North American Symposium on Late Complications
after Childhood Cancer, Atlanta, GA, June 2019.
Acknowledgements: We thank the participants for their in-
volvement with this study.
Data Availability
The data underlying this article cannot be shared publicly due
to privacy restrictions of individuals that participated in the
study. Aggregated, deidentified data may be shared on reason-
able request to the corresponding author.
References
1. Ward E, DeSantis C, Robbins A, Kohler B, Jemal A. Childhood and adolescent
cancer statistics, 2014. CA Cancer J Clin. 2014;64(2):83–103.
2. National Cancer Institute. Cancer Stat Facts: Cancer Among Adolescents
[Published online]. Surveillance,
and Young Adults (AYAs)
Epidemiology, and End Results (SEER) Program; 2020.
(Ages 15-39)
10 of 10 |
JNCI Cancer Spectrum, 2021, Vol. 5, No. 5
3. Kremer L, Mulder RL, Oeffinger KC, et al.; for the International Late Effects of
Childhood Cancer Guideline Harmonization Group. A worldwide collabora-
tion to harmonize guidelines for the long-term follow-up of childhood and
young adult cancer survivors: a report from the international late effects of
Childhood Cancer Guideline Harmonization Group. Pediatr Blood Cancer. 2013;
60(4):543–549.
4. Oeffinger KC, Mertens AC, Sklar CA, et al.; for the Childhood Cancer Survivor
Study. Chronic health conditions in adult survivors of childhood cancer. N
Engl J Med. 2006;355(15):1572–1582.
5. Nathan PC, Ford JS, Henderson TO, et al. Health behaviors, medical care, and
interventions to promote healthy living in the Childhood Cancer Survivor
Study cohort. J Clin Oncol. 2009;27(14):2363–2373.
6. Nathan PC, Hayes-Lattin B, Sisler JJ, Hudson MM. Critical issues in transition
and survivorship for adolescents and young adults with cancers. Cancer.
2011;117(10 suppl):2335–2341.
7. Landier W, Bhatia S, Eshelman DA, et al. Development of risk-based guide-
lines for pediatric cancer survivors: the Children’s Oncology Group Long-
term Follow-up Guidelines from the Children’s Oncology Group Late Effects
Committee and Nursing Discipline. J Clin Oncol. 2004;22(24):4979–4990.
8. Milam JE, Meeske K, Slaughter RI, et al. Cancer-related follow-up care among
Hispanic and non-Hispanic childhood cancer survivors: the Project Forward
study: Follow-Up Care Among Cancer Survivors. Cancer. 2015;121(4):605–613.
9. Nathan PC, Greenberg ML, Ness KK, et al. Medical care in long-term survivors
of childhood cancer: a report from the childhood cancer survivor study. J Clin
Oncol. 2008;26(27):4401–4409.
10. Oeffinger KC, Mertens AC, Hudson MM, et al. Health care of young adult sur-
vivors of childhood cancer: a report from the childhood cancer survivor
study. Ann Fam Med. 2004;2(1):61–70.
11. Hewitt M, Weiner SL, Simone, JV. Childhood Cancer Survivorship: Improving
Care and Quality of Life. Washington, DC: National Academies Press; 2003.
12. Jones BL. Promoting healthy development among survivors of adolescent
cancer. Fam Community Health. 2008;31(suppl 1):S61–70.
13. Yanez B, McGinty HL, Buitrago D, Ramirez AG, Penedo FJ. Cancer outcomes in
Hispanics/Latinos in the United States: an integrative review and conceptual
model of determinants of health. J Lat Psychol. 2016;4(2):114–129.
14. Mobley E, Moke D, Milam J, Ochoa C, Stal J, Osazuwa N, et al. Disparities and
Barriers to Pediatric Cancer Survivorship Care. Rockville, MD: Agency for
Healthcare Research and Quality; 2021.
15. May L, Schwartz DD, Frug(cid:2)e E, et al. Predictors of suboptimal follow-up in pe-
diatric cancer survivors. J Pediatr Hematol Oncol. 2017;39(3):e143–e149.
16. Zheng DJ, Sint K, Mitchell H-R, Kadan-Lottick NS. Patterns and predictors of
survivorship clinic attendance in a population-based sample of pediatric and
young adult childhood cancer survivors. J Cancer Surviv. 2016;10(3):505–513.
17. Castellino SM, Casillas J, Hudson MM, et al. Minority adult survivors of child-
hood cancer: a comparison of long-term outcomes, health care utilization,
and health-related behaviors from the childhood cancer survivor study. J Clin
Oncol. 2005;23(27):6499–6507.
18. Devine KA, Viola A, Capucilli P, Sahler OZ, Andolina JR. Factors associated
with non-compliance with long-term follow-up care among pediatric cancer
survivors. J Pediatr Hematol Oncol. 2017;39(3):167–173.
19. Gibson TM, Mostoufi-Moab S, Stratton KL, et al. Temporal patterns in the risk
of chronic health conditions in survivors of childhood cancer diagnosed
1970-99: a report from the Childhood Cancer Survivor Study cohort. Lancet
Oncol. 2018;19(12):1590–1601.
20. Hamilton AS, Zhuang X, Modjeski D, Slaughter R, Ritt-Olson A, Milam J.
Population-based survey methods for reaching adolescent and young adult
survivors of pediatric cancer and their parents. J Adolesc Young Adult Oncol.
2019;8(1):40–48.
21. Yost K, Perkins C, Cohen R, Morris C, Wright W. Socioeconomic status and
breast cancer incidence in California for different race/ethnic groups. Cancer
Causes Control. 2001;12(8):703–711.
22. Yang J, Schupp CW, Harrati A, Clarke C, Keegan THM, Gomez SL. Developing
an Area-Based Socioeconomic Measure from American Community Survey Data.
Fremont, CA: Cancer Prevention Institute of California; 2014.
23. Kazak AE, Hocking MC, Ittenbach RF, et al. A revision of the intensity of treat-
ment rating scale: classifying the intensity of pediatric cancer treatment.
Pediatr Blood Cancer. 2012;59(1):96–99.
24. Tobin JL, Thomas SM, Freyer DR, Hamilton AS, Milam JE. Estimating cancer
treatment intensity from SEER cancer registry data: methods and implica-
tions for population-based registry studies of pediatric cancers. Cancer Causes
Control. 2020;31(10):881–810.
25. Kadan-Lottick NS, Robison LL, Gurney JG, et al. Childhood cancer survivors’
knowledge about their past diagnosis and treatment: childhood cancer survi-
vor study. JAMA. 2002;287(14):1832–1839.
26. Whelan KF, Stratton K, Kawashima T, et al. Ocular late effects in childhood
and adolescent cancer survivors: a report from the childhood cancer survivor
study. Pediatr Blood Cancer. 2010;54(1):103–109.
27. Skinner R, Mulder RL, Kremer LC, et al. Recommendations for gonadotoxicity
surveillance in male childhood, adolescent, and young adult cancer
survivors: a report from the International Late Effects of Childhood Cancer
Guideline Harmonization Group in collaboration with the PanCareSurFup
Consortium. Lancet Oncol. 2017;18(2):e75–e90.
28. Desmond RA, Jackson BE, Waterbor JW. Disparities in cancer survivorship
indicators in the deep south based on BRFSS data: recommendations for sur-
vivorship care plans. South Med J. 2017;110(3):181–187.
29. Lorig K, Stewart A, Ritter P, Gonz(cid:2)alez V, Laurent D, Lynch J. Outcome Measures
for Health Education and Other Health Care Interventions. Thousand Oaks, CA:
SAGE; 1996.
30. Radloff LS. The CES-D scale: a self-report depression scale for research in the
general population. Appl Psychol Meas. 1977;1(3):385–401.
31. Hudson M, Landlier W, Constine L. Long-Term Follow-up Guidelines for Survivors
of Childhood, Adolescent, and Young Adult Cancers Version 5.0. Children’s
Oncology Group; 2018. http://www.survivorshipguidelines.org/
32. Ali MK, Bullard KM, Gregg EW, del Rio C. A cascade of care for diabetes in the
United States: visualizing the gaps. Ann Intern Med. 2014;161(10):681–689.
33. Kay ES, Batey DS, Mugavero MJ. The HIV treatment cascade and care contin-
uum: updates, goals, and recommendations for the future. AIDS Res Ther.
2016;13(1):35–37.
34. Brick JM. Unit nonresponse and weighting adjustments: a critical review. J Off
Stat. 2013;29(3):329–353.
35. Boyd RW, Lindo EG, Weeks LD, McLemore MR. On racism: a new standard for
publishing on racial health inequities. Health Aff Blog. Published July 2, 2020.
doi: 10.1377/hblog20200630.939347.
36. Hosmer DW Jr, Lemeshow, S Sturdivant, RX. Applied Logistic Regression vol 398.
Hoboken, NJ: John Wiley & Sons; 2013.
37. Bhatia S, Meadows AT. Long-term follow-up of childhood cancer survivors:
future directions for clinical care and research. Pediatr Blood Cancer. 2006;
46(2):143–148.
38. Blaes AH, Adamson PC, Foxhall L, Bhatia S. Survivorship Care Plans and the
Commission on Cancer Standards: The Increasing Need for Better Strategies to
Improve the Outcome for Survivors of Cancer. Alexandria, VA: American Society
of Clinical Oncology; 2020.
39. Nathan PC, Daugherty CK, Wroblewski KE, et al. Family physician preferen-
ces and knowledge gaps regarding the care of adolescent and young adult
survivors of childhood cancer. J Cancer Surviv. 2013;7(3):275–282.
40. Rokitka DA, Curtin C, Heffler JE, Zevon MA, Attwood K, Mahoney MC.
Patterns of loss to follow-up care among childhood cancer survivors. J Adolesc
Young Adult Oncol. 2017;6(1):67–73.
41. Shaw SJ, Huebner C, Armin J, Orzech K, Orzech K, Vivian J. The role of culture
in health literacy and chronic disease screening and management. J Immigr
Minor Health. 2009;11(6):460–467.
42. Jun J, Oh KM. Asian and Hispanic Americans’ cancer fatalism and colon can-
cer screening. Am J Health Behav. 2013;37(2):145–154.
43. Shelton RC, Jandorf L, Ellison J, Villagra C, DuHamel KN. The influence of so-
ciocultural factors on colonoscopy and FOBT screening adherence among
low-income Hispanics. J Health Care Poor Underserved. 2011;22(3):925–944.
44. Cheng EM, Chen A, Cunningham W. Primary language and receipt of recom-
mended health care among Hispanics in the United States. J Gen Intern Med.
2007;22(suppl 2):283–288.
45. Arnett JJ. Emerging adulthood: a theory of development from the late teens
through the twenties. Am Psychol. 2000;55(5):469–480.
46. Henderson TO, Friedman DL, Meadows AT. Childhood cancer survivors: tran-
sition to adult-focused risk-based care. Pediatrics. 2010;126(1):129–136.
47. Frederick NN, Bober SL, Berwick L, Tower M, Kenney LB. Preparing childhood
cancer survivors for transition to adult care: the young adult perspective.
Pediatr Blood Cancer. 2017;64(10):e26544.
48. Sadak KT, Neglia JP, Freyer DR, Harwood E. Identifying metrics of success for
transitional care practices in childhood cancer survivorship: a qualitative
study of survivorship providers. Pediatr Blood Cancer. 2017;64(11):e26587.
49. Freyer DR. Transition of care for young adult survivors of childhood and ado-
lescent cancer: rationale and approaches. J Clin Oncol. 2010;28(32):4810–4818.
50. Kenney LB, Melvin P, Fishman LN, et al. Transition and transfer of childhood
cancer survivors to adult care: a national survey of pediatric oncologists.
Pediatr Blood Cancer. 2017;64(2):346–352.
51. Szalda D, Pierce L, Hobbie W, et al. Engagement and experience with cancer-
related follow-up care among young adult survivors of childhood cancer af-
ter transfer to adult care. J Cancer Surviv. 2016;10(2):342–350.
52. Kenzik KM, Kvale EA, Rocque GB, et al. Treatment summaries and follow-up
care instructions for cancer survivors: improving survivor self-efficacy and
health care utilization. Oncologist. 2016;21(7):817–824.
53. Harlan LC, Lynch CF, Keegan TH, et al.; for the AYA HOPE Study Collaborative
Group. Recruitment and follow-up of adolescent and young adult cancer sur-
vivors: the AYA HOPE Study. J Cancer Surviv. 2011;5(3):305–314.
54. Gallicchio L, Elena JW, Fagan S, et al. Utilizing SEER cancer registries for
population-based cancer survivor epidemiologic studies: a feasibility study.
Cancer Epidemiol Biomarkers Prev. 2020;29(9):1699–1709.
| null |
10.1016/j.jbc.2022.102361
|
Data availability
Data available upon request. Contact anthony.koleske@yale.
edu for more information.
The limited proteolysis mass spectrometry data have been
deposited to the ProteomeXchange Consortium via the PRIDE
(46) partner repository with the dataset identifier PXD034393
(http://www.ebi.ac.uk/pride).
The cross-linking raw mass spectrometry data and peak lists
are available in the massIVE repository (https://massive.ucsd.
edu) with accession number: MSV000089621
Annotated spectra supporting the cross-linked identifica-
tions are published on MS-Viewer (https://msviewer.ucsf.edu/
cgi-bin/msform.cgi?form=msviewer) with the following search
keys:
Trio SR6-GEF1-WT: l4abvtas5a
|
Data availability Data available upon request. Contact anthony.koleske@yale. edu for more information. The limited proteolysis mass spectrometry data have been deposited to the ProteomeXchange Consortium via the PRIDE (46) partner repository with the dataset identifier PXD034393 ( http://www.ebi.ac.uk/pride ). The cross-linking raw mass spectrometry data and peak lists are available in the massIVE repository ( https://massive.ucsd. edu ) with accession number: MSV000089621
|
RESEARCH ARTICLE
Autoinhibition of the GEF activity of cytoskeletal regulatory
protein Trio is disrupted in neurodevelopmental
disorder-related genetic variants
Received for publication, January 11, 2022, and in revised form, August 4, 2022 Published, Papers in Press, August 10, 2022,
https://doi.org/10.1016/j.jbc.2022.102361
Josie E. Bircher1,‡
From the 1Department of Molecular Biophysics and Biochemistry, and 2Keck MS & Proteomics Resource, Yale University, New
Haven, Connecticut, USA; 3Department of Pharmaceutical Chemistry, University of California at San Francisco, San Francisco,
California, USA; 4Department of Neuroscience, Yale University, New Haven, Connecticut, USA
, Michael J. Trnka3, and Anthony J. Koleske1,4,*
, Ellen E. Corcoran1,‡
, TuKiet T. Lam1,2
Edited by Kirill Martemyanov
TRIO encodes a cytoskeletal regulatory protein with three
catalytic domains—two guanine exchange factor (GEF) do-
mains, GEF1 and GEF2, and a kinase domain—as well as
several accessory domains that have not been extensively
studied. Function-damaging variants in the TRIO gene are
known to be enriched in individuals with neurodevelopmental
disorders (NDDs). Disease variants in the GEF1 domain or the
nine adjacent spectrin repeats (SRs) are enriched in NDDs,
suggesting that dysregulated GEF1 activity is linked to these
disorders. We provide evidence here that the Trio SRs interact
intramolecularly with the GEF1 domain to inhibit its enzymatic
activity. We demonstrate that SRs 6-9 decrease GEF1 catalytic
activity both in vitro and in cells and show that NDD-
associated variants in the SR8 and GEF1 domains relieve this
autoinhibitory constraint. Our results from chemical cross-
linking and bio-layer interferometry indicate that the SRs pri-
marily contact the pleckstrin homology region of the GEF1
domain, reducing GEF1 binding to the small GTPase Rac1.
Together, our findings reveal a key regulatory mechanism that
is commonly disrupted in multiple NDDs and may offer a new
target for therapeutic intervention for TRIO-associated NDDs.
The TRIO gene encodes a large (>300 kDa) multidomain
protein with three catalytic domains (hence the name, Trio):
two guanine nucleotide exchange factor (GEF) domains, each
composed of Dbl homology (DH) and pleckstrin homology
(PH) regions, and a putative serine/threonine kinase domain.
The two GEF domains exhibit distinct substrate specificities:
the more N-terminal GEF domain (GEF1) promotes GTP
loading onto Rac1 and RhoG GTPases (1–3), while the more
C-terminal GEF domain (GEF2) activates RhoA (1, 4, 5). Trio
also contains an N-terminal lipid-binding Sec14 domain, nine
spectrin repeat
(SR) domains, and Src homology 3 and
immunoglobulin-like domains (1, 6–9). Beyond the potential
for protein–lipid and protein–protein interactions, the func-
tions of these accessory domains remain poorly understood.
‡ These authors contributed equally to this work.
* For correspondence: Anthony J. Koleske, anthony.koleske@yale.edu.
De novo mutations and ultra-rare variants in TRIO are
enriched in neurodevelopmental disorders (NDDs) (10–14)
and the pattern of these variants differs in different disorders.
For example, de novo missense and rare damaging variants in
the GEF1 domain and adjacent regulatory SRs are enriched in
autism, intellectual disability, and developmental delay, sug-
gesting that dysregulated GEF1 activity contributes to the
pathophysiology of these disorders. Indeed, our lab and
others have shown that some of these variants disrupt the
ability of GEF1 to catalyze Rac1 activation (12–15). Clusters
of variants in the SR8 and GEF1 domains impacted cellular
Rac1 activity in different ways and were associated with
distinct endophenotypes
in heterozygous carriers: SR8
domain variants were linked to developmental delay, mac-
rocephaly, and hyperactive Rac1 activity in cells, whereas
GEF1 domain variants were linked to mild intellectual
disability, microcephaly, and reduced Rac1 activity in cells
(15). However, the role of the SRs in Trio function and the
mechanism of SR8 variant-mediated increase in Rac1 activity
are unclear.
Previous studies demonstrated that expression of Trio
GEF1 increased Rac1 activity in cells and resulted in dominant
gain-of-function pathfinding defects in fly retinal axons (16,
17). Appending additional regions of Trio, including the SRs,
to GEF1 attenuated both Trio GEF1-dependent processes.
These observations strongly suggest that the SRs reduce GEF1
activity in Trio. However, it remains unknown whether the
SRs autoinhibit GEF1 activity directly or via the recruitment
of cellular cofactor(s). It is also unclear how variants in the
SRs would impact this regulatory mechanism in vitro and in
cells.
We provide evidence here that SRs 6-9 directly inhibit Trio
GEF1 activity in vitro and in cells. Using a GDP-fluorescein
(FL)-BODIPY nucleotide exchange assay (18), we show that
inclusion of SRs 6-9 is sufficient to inhibit GEF1 activity
in vitro, suggesting an autoinhibitory mechanism. We then find
that NDD-associated variants in the SR8 and GEF1 domains
increase GEF1 activity by relieving autoinhibition, whereas an
NDD-associated variant in SR6 reinforces autoinhibition. Using
interferometry, we
chemical cross-linking and bio-layer
J. Biol. Chem. (2022) 298(9) 102361 1
© 2022 THE AUTHORS. Published by Elsevier Inc on behalf of American Society for Biochemistry and Molecular Biology. This is an open access article under the CC
BY license (http://creativecommons.org/licenses/by/4.0/).
Trio GEF autoinhibition by spectrin repeats
demonstrate that the SRs make contact with the PH region of
the GEF1 domain and reduce the affinity of GEF1 for Rac1.
Together, our findings provide a novel RhoGEF regulatory
mechanism by which SRs disrupt Trio GEF1 activation by
reducing the interaction of Trio GEF1 with Rac1 and impairing
catalytic efficiency. This mechanism appears to be commonly
disrupted by NDD-associated variants in TRIO, making it a
potential target for therapeutic intervention.
Results
Inclusion of SRs 6-9 reduces Trio GEF1 activity
Genetic variants in SRs 6-9 are associated with NDDs (15),
some of which were previously shown to affect Trio-mediated
Rac1 activation in cells. To measure the impact of the SRs on
GEF1 activity in vitro, we generated and purified Trio GEF1
alone (42 kDa) and a Trio fragment containing SRs 6-9
appended to the GEF1 domain (SR6-GEF1, 99 kDa) (Fig. 1A).
Both proteins were monodisperse upon size-exclusion chro-
matography and eluted at a position consistent with being
monomers (estimated Stokes radius was 3.8 nm for GEF1,
5.6 nm for SR6-GEF1) (Fig. 1B). Using a fluorescence-based
guanine nucleotide exchange assay, we measured the cata-
lytic activity of GEF1 and SR6-GEF1. Purified 100 nM GEF1
efficiently catalyzed exchange of BODIPY-FL-GDP for GTP on
Rac1, with a first-order dissociation rate constant kobs = 2.4 ±
−1 (Fig. 1, C and D). Measurement of the rate
0.6 × 10
constant, kobs, as a function of GEF1 concentration yielded a
−1 (Fig. 1, E and F). SR6-GEF1
kcat/KM = 1.9 × 104 M
similarly promoted GTP exchange onto Rac1 but with a
significantly reduced ((cid:1)20 fold and 6-fold, respectively) kobs =
−1 (Fig. 1, C, D
−1 and kcat/KM = 3.1 × 103 M
1.2 ± 1.8 ×10
and F). These data indicate that inclusion of SRs 6-9 inhibits
Trio GEF1 activity for Rac1 in vitro.
−1 s
−3 s
−1 s
−4 s
Figure 1. Inclusion of SRs 6-9 reduces Trio GEF1 activity on Rac1. A, schematic of Trio proteins: full-length Trio, SR6-GEF1, and GEF1. B, Trio SR6-GEF1 and
GEF1 were purified and size-exclusion chromatography was performed to verify that proteins were monodisperse. Dotted lines indicate peak elution
volume, which is used to calculate Stokes radii. Samples (approximately 5 μg) of purified components were analyzed by SDS-PAGE and stained with
Coomassie Blue to assess purity. Gel images were spliced from separate lanes of the same gel, original gel shown in Figure 3B. C, 100 nM of Trio GEF
proteins were incubated with 12.8 μM Rac1 preloaded with 3.2 μM BODIPY-FL-GDP, and nucleotide exchange was tracked via the decrease in fluorescence
over time. Representative trace is shown here; traces in color, exponential fits overlaid in black. D, Trio SR6-GEF1 had approximately 20-fold lower exchange
activity, kobs, than GEF1 alone. N = 21 independent kobs measurements for overall quantification of rates per group. Bars represent average ± SD;
****p ≤ 0.0001 in a two-tailed t test. E, GEF1 catalytic efficiency was determined by measuring the kobs of GEF1 at multiple concentrations (top) and
extracting a linear fit from the plot of kobs versus GEF concentration. Sample traces shown with exponential fits overlaid in black. F, the catalytic efficiency of
SR6-GEF1 was 6-fold lower than GEF1 (n = 4). Bars represent average ± SD of four experimental replicates; **p ≤ 0.005 in a two-tailed t test. DH1, Dbl
homology domain; FL, fluorescein; GEF, guanine exchange factor; Ig, Ig-like domains; PH1, pleckstrin homology domain; SH3-1, Src homology 3 domain; SR,
spectrin repeat.
2 J. Biol. Chem. (2022) 298(9) 102361
Trio GEF autoinhibition by spectrin repeats
NDD-associated variants in SR8 increase Trio GEF1 activity in
the context of SR6-GEF1
GEF1 variant D1368V increases GEF activity only in the
context of SR6-GEF1
We generated and purified SR6-GEF1 expression constructs
containing single NDD-associated variants
in SR8 and
measured their ability to catalyze nucleotide exchange on Rac1
(Fig. 2, A and B). When tested at 100 nM, all SR8 variants,
except N1080I, increased the kobs by 4 to 8 fold over that of
WT SR6-GEF1 (Fig. 2, C and D). In agreement with these
findings, one representative SR8 variant, SR6-GEF1R1078Q,
−1,
which had a significantly increased kobs = 1.0 ± 0.5 × 10
−1, a 1.5-fold increase in cat-
−1 s
had a kcat/KM = 4.7 × 103 M
alytic efficiency over WT SR6-GEF1 (Fig. 2E). These findings
indicate that NDD-associated variants in SR8 are sufficient to
relieve SR autoinhibition.
−3 s
NDD-associated variants in SR6 decrease GEF1 activity in the
context of SR6-GEF1
We also generated two SR6-GEF1 constructs harboring
individual disease variants in the SR6 domain. While the rate
constant (kobs) values obtained for each construct did not
significantly decrease compared to WT SR6-GEF1, measure-
ment of catalytic efficiency, kcat/KM, of both WT SR6-GEF1
and SR6-GEF1E883D revealed that SR6-GEF1E883D had a
significantly decreased catalytic efficiency of a kcat/KM = 1.7 ×
−1, 1.8-fold lower than WT SR6-GEF1 (Fig. 2E). This
103 M
suggests that NDD-associated variants in SR6 decrease GEF1
activity.
−1 s
Hypothesizing that the SRs might contact GEF1 to impact
catalytic activity, we searched for GEF1 domain variants that
might impact potential autoinhibition of GEF1 activity by SRs.
lie in the GEF1:Rac1
Unlike GEF1 disease variants that
interface and decrease GEF1 activity (12–14), D1368V lies in
the DH domain but is distal to the GEF1:Rac1 interface, so its
impact is less well understood (Fig. 3A). However, introduc-
tion of the D1368V variant greatly potentiates the ability of
the Trio9 splice isoform, which contains all of the SRs, to
increase activity of a Rac1 reporter in cells (14). We intro-
duced D1368V into SR6-GEF1 and found that it significantly
−1
increased catalytic activity, with a kobs = 1.4 ± 0.3 × 10
−1 (Fig. 3, B–E), a 1.5-fold in-
−1 s
and kcat/KM = 4.8 × 103 M
crease over the kcat/KM for WT SR6-GEF1. In contrast,
introducing D1368V into GEF1 alone did not impact its ac-
tivity compared to GEF1 (Fig. 3, B–E), indicating that the
activating effects of D1368V require SRs 6-9. Together with
data reported above, these are consistent with a model in
which NDD-associated variants in SR8 and GEF1 relieve in-
hibition of GEF1 activity by the SRs.
−3 s
The SRs and GEF1 form distinct stable interacting domains
We used AlphaFold (19, 20) to model human Trio SR6-
GEF1 (Fig. 4, A and B). Strikingly, this model suggests that
SRs interact with the GEF1 domain, with SR8 closely apposed
Figure 2. Mutations in SR6 and SR8 differentially impact GEF1 activity. A, schematic of disease associated mutations in the SRs used in this study.
B, mutants were generated in the context of SR6-GEF1 and purified. C, sample GEF assay traces of SR6-GEF1E883D and SR6-GEF1R1078Q. Traces in color,
exponential fits overlaid in black. D, SR8 variants in SR6-GEF1 have significantly enhanced catalytic rates, kobs, at equal molar amounts (100 nM) (except
N1080I). **p ≤ 0.005; ***p ≤ 0.001; ****p ≤ 0.001 for a significant difference compared to SR6-GEF1 in a one-way ANOVA adjusted for multiple comparisons
(n ≥ 9). E, catalytic efficiency (kcat/KM) of representative SR6/8 mutants was determined by measuring the kobs values at different concentrations of GEF, as
shown in Figure 1D. The catalytic efficiency of SR6-GEF1R1078Q is (cid:1)1.5-fold greater than that of SR6-GEF1, while the catalytic efficiency of SR6-GEF1E883D is
(cid:1)1.8-fold slower (n = 3). Data for GEF1 and SR6-GEF1 from Figure 1 are shown again for reference, and all are reported as an average ± SD of three or more
experimental replicates. * = significantly different from SR6-GEF1, p ≤ 0.05 in a one-way ANOVA adjusted for multiple comparisons. GEF, guanine exchange
factor; SR, spectrin repeat.
J. Biol. Chem. (2022) 298(9) 102361 3
Trio GEF autoinhibition by spectrin repeats
Figure 3. GEF1 variant D1368V increases GEF1 activity in the context of SR6-GEF1. A, crystal structure of Trio GEF1 (light and dark blue) and Rac1 (gray),
accessed in PDB, ID = 2NZ8 (5). D1368, identified in the box, is distal to the Rac1-binding interface. B, samples (approximately 5 μg) of purified components
were analyzed by SDS-PAGE and stained with Coomassie Blue R250 to assess purity. Gel bands for WT SR6-GEF1 and WT GEF1 are the same as shown
spliced in Figure 1B. C, sample GEF assay traces of D1368V in the context of SR6-GEF1 and GEF1. Traces in color, exponential fits overlaid in black. D, D1368V
in SR6-GEF1 increases catalytic rate, kobs, at equal molar amounts of GEF but has no impact when inserted into GEF1 alone (****p ≤ 0.0001, unpaired t test
for mutant versus WT in respective GEF1 or SR6-GEF1, n = 3). E, catalytic efficiency (kcat/KM) of SR6-GEF1D1368V was determined by measuring the kobs values
at different concentrations of GEF, as in Figure 1D. Data for GEF1 and SR6-GEF1 shown again for reference. The catalytic efficiency, kcat/KM, of SR6-
GEF1D1368V is (cid:1)1.5-fold greater than that of SR6-GEF1 (n = 3). * = significantly different from SR6-GEF1, p ≤ 0.05 in a one-way ANOVA adjusted for mul-
tiple comparisons. GEF, guanine exchange factor; SR, spectrin repeat.
to GEF1 and the NDD-associated mutations concentrated at
this SR8:GEF1 interface. This model of SR6-GEF1 and addi-
tional analysis using DISOPRED predicted the existence of an
unstructured loop between SR9 and GEF1, suggesting this
flexible region may connect
the SRs and GEF1 domain
(Fig. 4C) (21). We used limited proteolysis to probe for the
presence of a flexible linker between SR9 and the GEF1
domain that might be susceptible to partial proteolysis.
Treatment of SR6-GEF1 at intermediate levels of trypsin
yielded two major bands, identified by mass spectrometry as
composed of SRs 6-9 and GEF1, respectively. This observation
indicates that SRs 6-9 and the GEF1 domain each make up
distinct folding units with increased relative resistance to
protease (Fig. 4D). Together, these findings support a model in
which the SRs make contact with GEF1.
To test directly for possible interactions between the SRs and
GEF1 domain, we incubated SR6-GEF1 with an 11.4 Å spacer
lysine cross-linker, BS3 (bis(sulfosuccinimidyl)suberate), and
analyzed cross-linked peptides via mass spectrometry to
identify sites in close enough proximity to cross-link. Several
long-distance cross-links were observed between the SRs and
the GEF1 domain (Fig. 5A). Specifically, the SR:GEF1 interface
includes a peptide in DH domain which is directly at the Rac1
binding interface (1429–1438, green in Fig. 5A) and a peptide
in the PH domain important for stabilizing the Rac1 interaction
(1529–1537, orange in Fig. 5A) (Fig. 5A) (5). Multiple regions
originating in SR6-9 contact these peptides in the GEF domain.
This suggests that SR6-GEF1 may be dynamic, with multiple
conformational states captured by cross-linking. We hypothe-
size that these SR:GEF1 contacts likely disrupt Rac1 binding to
GEF1
We also performed chemical cross-linking on three variants
in SR6-GEF1 to understand how intramolecular contacts may
change in the variants. The SR6-GEF1 variants that display
activated GEF activity, R1078Q and D1368V, both exhibited a
loss of contact between SR6, 7, 9, and the GEF1 domain
(Fig. 5B). In addition, R1078Q, but not D1368V, also reduced
SR8:GEF1 contacts (Table S2). In contrast, the SR6 variant,
E883D, which reduced GEF activity, did not reduce intra-
molecular contacts with GEF1; in fact, new contacts appeared
(SR7 and SR9 contacts, blue and purple arrowheads, Fig. 5B),
suggesting this variant may reinforce intramolecular SR:GEF
contacts (Fig. 5B). These data are consistent with a model in
which specific intramolecular contacts between the SRs and
GEF1 are altered in genetic variants with increased GEF1
activity.
4 J. Biol. Chem. (2022) 298(9) 102361
Trio GEF autoinhibition by spectrin repeats
Figure 4. AlphaFold predicts an interaction between the SRs and GEF1, which form independent folding units. A, AlphaFold model of human Trio
SR6-GEF1. SR6, 8 in light pink, SR7, 9 in dark pink, linker region in gray, and GEF1 in blue. Sites of mutations used in this study are modeled as black spheres,
with amino acids labeled. This model predicts an interaction between SR8 and GEF1. B, SR6-GEF1 from AlphaFold model, rotated to view flexible linker
region between GEF1 and SR9. C, probability of disorder was predicted using DISOPRED. The region between SR9 and DH1 has a high probability of being
disordered (cutoff > 0.5). D, limited proteolysis of SR6-GEF1. His-SR6-GEF1 was incubated with increasing concentrations of trypsin and select bands were
identified using mass spectrometry. Relative abundance of identified peptides was plotted to determine composition of each band. The y-axis displays
relative abundance of peptides and x-axis is ‘amino acid position’, which refers to the location in SR6-GEF1 that the peptide covers (with SR6-GEF1 diagram
below). Band 1 (pink box around gel band at (cid:1)60 kDa) comprises SR6-9 and Band 2 (blue box around band at (cid:1)40 kDa) comprises GEF1. Therefore, SR6-9
and GEF1 form distinct stable domains. DH1, Dbl homology domain; GEF, guanine exchange factor; SR, spectrin repeat.
The SRs reduce GEF1 binding to Rac1
Based on our cross-linking data, we hypothesized that an
interaction between SRs 6-9 and PH1 may impair the ability of
GEF1 to bind Rac1. We used bio-layer interferometry to
measure the association of nucleotide-free Rac1 with His-
GEF1 or His-SR6-GEF1 immobilized on a nitrilotriacetic
acid (Ni-NTA) affinity chip. GEF1 bound to Rac1 with a Kd =
151 ± 49 nM in nucleotide-free conditions (Fig. 6, A–C). SR6-
GEF1 had a reduced affinity for Rac1, with a Kd = 316 ± 87 nM
(Fig. 6, A–C). Taken together with the cross-linking data, this
supports a model where the SRs contact the PH domain to
impair GEF1 binding to Rac1, which likely contributes to the
reduction in observed GEF1 activity.
SRs 6-9 inhibit GEF1-induced cell spreading
Trio GEF1 activates Rac1 and RhoG to coordinate down-
stream cytoskeletal changes and mediate changes in cell
morphology (1–3, 22). We first expressed Trio GEF1-GFP in
HEK293 cells and quantified its impact on cell morphology
(Fig. 7, A–C). When matched for GFP expression levels, GEF1
expressing cells had significantly increased cell area compared
to GFP controls (Fig. 7, A–C). Cells expressing GEF1 appeared
to be more spread with round lamellipodia encompassing the
cell edge, a common result of Rac1 activation (23) (Fig. 7B).
The area of cells expressing a catalytic-dead mutant of GEF1,
GEF1 ND/AA (N1465A/D1466A), were similar to GFP con-
trols, indicating a key role for GEF1 catalytic activity in this
morphological change (24). In contrast to GEF1, SR6-GEF1
expressing cells had no measurable effect on cell area, but the
SR8 mutant, SR6-GEF1R1078Q, increased cell area over that of
GFP and SR6-GEF1 WT (Fig. 7, B and C). Cells expressing
SR6-GEF1R1078Q also appeared qualitatively
in
morphology to those cells expressing GEF1 alone, with more
full, rounded edges (Fig. 7B). Therefore, inclusion of SRs 6-9
inhibits Trio GEF1-dependent changes in cell morphology,
and disease-associated variants can disrupt this inhibitory
regulation.
similar
We then expressed GFP-Trio9s, a predominant neuronal
isoform throughout neurodevelopment, in HEK293 cells and
quantified its impact on cell morphology (25) (Fig. 7, A, D and
E). Interestingly, when matched for GFP expression levels,
GFP-Trio9s expressing cells had significantly decreased cell
area compared to GFP controls. Expressing two variants of
Trio9s, the most activated SR8 mutant, GFP-Trio9sR1078Q, and
a catalytic-dead mutant of GEF1, GFP-Trio9s ND/AA
(N1465A/D1466A), decreased cell area compared to GFP
alone (Fig. 7, D and E). Cells expressing any variant of
J. Biol. Chem. (2022) 298(9) 102361 5
Trio GEF autoinhibition by spectrin repeats
Figure 5. The SRs interact with GEF1. A, SR6-GEF1 was incubated with lysine cross-linker BS3 and cross-linked peptides were identified using mass
spectrometry. Crystal structure of GEF1 alone (gray, left panel) and with Rac1 (black, right panel) (from PDB, ID = 2NZ8 (5)) with cross-linked peptides
between SR6-9 and GEF1 (in WT case) shown in green (1429–1438), pink (1503–1506), orange (1529–1537), purple (1562–1588), and light blue (1574–1588).
SR6-9 contacts the DH domain at a peptide that likely interferes with Rac1 binding (1429–1438) and a region in the PH domain critical for stabilizing the
Rac1 interaction (1529–1537) (5). B, representative activating mutants (R1078Q and D1368V) display fewer contacts between SR6-9 and GEF1 (lost contacts
shown with dotted lines). Representative inactivating mutant (E883D) displays increased contacts between SR6-9 and GEF1 (New contacts shown with blue
or purple arrows). Cross-links were categorized based on their N-terminal cross-link site (in SR6, 7, or 9) and their C-terminal GEF1 contacts were visualized.
For the activating mutants, the peptides that were mutually lost for both activating mutants were visualized here. For table of all mutant cross-links
between SR6-9 and GEF1, see Table S2. BS3, bis(sulfosuccinimidyl)suberate; DH1, Dbl homology domain; GEF, guanine exchange factor; PH1, pleckstrin
homology domain; SR, spectrin repeat.
GFP-Trio9s appeared very round, completely lacking lamelli-
podia or cell edge protrusions (Fig. 7, D and E). We speculate
that activity of the Trio GEF2 domain, which targets RhoA to
promote cytoskeleton contractility (26), may dominate in this
context, making it difficult to discern specific effects on GEF1
activity.
interferometry, we show that the SRs contact regions of
GEF1 important for Rac1 binding and that inclusion of the SRs
is associated with reduced binding affinity for Rac1 in vitro.
We present a model for how Trio GEF1 activity is regulated,
and how this regulation is disrupted by disorder-associated
variants.
Discussion
Inclusion of Trio SRs autoinhibits GEF1 activity in vitro
We provide evidence here that the Trio SRs 6-9 directly
inhibit GEF1 activity via intramolecular interactions in vitro
and in cells. We demonstrate that NDD-associated variants in
the SR8 and GEF1 domains release this autoinhibitory
constraint, strongly suggesting that disruption of this GEF1
regulatory mechanism contributes to the pathophysiology of
these disorders. Using chemical cross-linking and bio-layer
Previous cell-based studies have shown that removing the
SRs is associated with increased downstream Rac1 activity and
Trio gain-of-function phenotypes in vivo, suggesting that the
Trio SRs function to inhibit GEF1 activity (16, 17, 27). This
hypothesis is supported by evidence that other RhoGEFs, like
Tiam1, contain autoinhibitory N-terminally adjacent accessory
domains (8, 28, 29). In most cases, how inhibition occurs and
6 J. Biol. Chem. (2022) 298(9) 102361
Trio GEF autoinhibition by spectrin repeats
Figure 6. Inclusion of SRs 6-9 reduce binding to Rac1. A, His-GEF1 or His-SR6-GEF1 were immobilized on an Ni-NTA biosensor and the association of
different concentrations of Rac1 was measured. Representative traces shown, with data in color and one phase exponential fits in black. Full concentration
gradients (4–5 Rac1 concentrations) were performed at least three independent times. B, kobs values were extracted from each association curve and
plotted against Rac1 concentration to calculate a Kd of GEF1 or SR6-GEF1 binding to Rac1. C, SR6-GEF1 has a 2-fold weaker affinity for Rac1 than GEF1
(*p ≤ 0.05, unpaired t test). GEF, guanine exchange factor; Ni-NTA, nitrilotriacetic acid; SR, spectrin repeat.
how it is released to activate GEF activity is unknown. Our
results show that SR6-GEF1 is monomeric in solution and that
inclusion of SRs significantly decreases GEF1 catalytic activity
in vitro. Collectively, these observations suggest that the SRs
are sufficient to inhibit GEF1 activity via intramolecular in-
teractions in cis.
SRs make direct contact with GEF1 and impair interactions
with Rac1
Within GEF1, the DH1 domain catalyzes GTP exchange
onto Rac1 and serves as the main Rac1-binding interface. The
PH domain plays a regulatory role in catalysis but also serves
to stabilize the Rac1:DH1 interaction (30, 31). Using chemical
cross-linking, we demonstrate that SRs 6-9 make extensive
contacts with the GEF1 domain, including at sites critical for
Rac1 binding, suggesting that SR6-9 sterically blocks contact
with Rac1. In addition, NDD-associated variants that activate
GEF1 exhibit reduced contacts between the SRs and GEF1 and
those that impair GEF1 activity exhibit increased contacts.
Hence, altering the interaction between the SRs and GEF1
impacts catalytic activity (5).
We found that inclusion of SRs 6-9 reduces the affinity of
GEF1 for Rac1 by 2-fold, compared to GEF1 alone. Whereas
our catalytic rate measurements suggest the presence of SRs
6-9 results in a 6-fold decrease in activity, the reduction in
affinity that we observed was smaller in magnitude. It is likely
that engagement of the SRs with GEF1 impairs other steps in
the catalytic cycle, as demonstrated by our catalytic efficiency
data, in addition to impacting Rac1-binding affinity. Future
studies will elucidate whether other components of
the
nucleotide exchange process are impacted by the SRs.
NDD-associated mutations in SR8 and GEF1 disrupt
SR-mediated GEF1 inhibition
Two rare variant clusters in TRIO, one in SR8 (Fig. 2A) and
one in GEF1, have been linked to distinct endophenotypes in
individuals with NDDs (15). For example, TRIO SR8 variants
are linked to developmental delay and macrocephaly in
humans and cause increased Rac1 (GEF1) activity in cells,
whereas most mutations in the GEF1 domain are linked to
mild intellectual disability, microcephaly, and reduced Rac1
activity in cells. However, how SR8 variants increased Rac1
activity was completely unknown. We hypothesized that the
increased Rac1 activity associated with SR8 domain variants
resulted from disruption of SR-mediated GEF1 inhibition. We
generated mutant SR6-GEF1 constructs harboring distinct
disorder-associated variants and found that nearly all SR8
mutants increased SR6-GEF1 catalytic activity 4 to 8 fold.
Interestingly, the one exception, N1080I, disrupts binding to
neuroligin-1 and blocks neuroligin-1–mediated synapto-
genesis (32). We hypothesize that other sites,
including
N1080I, in the SRs serve as convergence points for upstream
activators to regulate GEF1 activity and discuss this in a
following section. Together, these data demonstrate that many
J. Biol. Chem. (2022) 298(9) 102361 7
Trio GEF autoinhibition by spectrin repeats
Figure 7. SRs 6-9 reduce the impact of GEF1 on cell spreading. A, schematic of constructs used, with mutants shown below. B, constructs in (A) were
transfected into HEK293 cells and plated on fibronectin. Cells were fixed and stained using anti-GFP to visualize GFP expression and cell morphology. Cells
expressing GEF1 and SR6-GEF1R1078Q appeared to have more rounded edges and circular shapes. The scale bar represents 10 μm. Contrast was adjusted
between images shown to best visualize cell edge; cell edge is outlined with a white dashed line. C, cell area, normalized to protein expression on a cell-by-
cell basis, was quantified. Cell area increased upon expression of GEF1 and SR6-GEF1R1078Q, while expression of a catalytic-dead GEF1 mutant (ND/AA) or
SR6-GEF1 had no effect compared to GFP alone. D, cells visualized and analyzed as in (B). The scale bar represents 10 μm. Cells expressing Trio9s constructs
all appeared rounder and lacked cell edge protrusions. E, cell area quantified as in (C). Cell area was decreased upon expression of all GFP-Trio9s constructs
compared to GFP alone. Trio9sR1078Q did not increase cell area to levels seen with GFP alone. Two biological replicates were performed for each set of
constructs, with 25 to 40 cells analyzed per group per replicate (*p ≤ 0.05, ****p ≤ 0.0001, one-way ANOVA between GFP control and each group and
adjusted for multiple comparisons). GEF, guanine exchange factor; SR, spectrin repeat.
NDD variants in SR8 are sufficient to relieve SR-mediated
GEF1 inhibition.
We also found that a GEF1 domain variant associated with
Rac1 activation in cells likely impacts SR-mediated GEF1 in-
hibition. Unlike GEF1 disease variants that lie at the Rac1-
binding interface and decrease GEF1 activity, this variant,
D1368V, is distal to the Rac1 interface and hyperactivates Rac1
activity in cells when introduced in the Trio9 splice isoform
(12–14, 32). Our results indicate that D1368V significantly
increases GEF1 activity in the context of SR6-GEF1 but has no
effect on GEF1 alone. We propose that D1368V enhances SR6-
GEF1 activity by disrupting SR autoinhibition. Indeed, our
cross-linking data suggests that contacts between the SRs and
GEF1 are reduced for the D1368V variant.
NDD-associated variants in SR6 may reinforce SR-mediated
GEF1 inhibition
We also generated two SR6-GEF1 constructs harboring
individual disease variants in the SR6 domain, whose impact
on Trio function remains completely unknown. The catalytic
efficiency (kcat/KM) of SR6-GEF1E883D was significantly slower
than SR6-GEF1,
suggesting that SR6 mutants decrease
SR6-GEF1 catalytic activity. While the mechanism for this is
unclear, one possibility is that SR6 acts as a hinge region
allosterically governing the flexibility of the helices surround-
ing SR8 and that SR6 variants may decrease the ability for the
SRs to release their inhibitory lock on the GEF1 domain.
Indeed, we observed more contacts between SR7 and SR9 and
the GEF1 domain in SR6-GEF1E883D, suggesting that the
intramolecular contacts are more stable or extensive in the
variant case. This observation underscores the importance of
understanding how dysregulation of Trio GEF1 activity con-
tributes to NDDs.
The SRs may serve as a target for activators of Trio GEF1
activity
We demonstrated that the SRs inhibit Trio GEF1 activity,
but it is unclear how inhibition may be released in a cellular
context. SR domains are widely accepted as scaffolding pro-
teins that coordinate cytoskeletal interactions with high spatial
precision. Considering that Trio is known to act downstream
of cell surface receptors to coordinate cytoskeletal rearrange-
ments, we anticipate that the Trio SRs serve as a target of
interaction partners to engage and activate Trio GEF1 activity
in cells. Trio SRs interact with diverse cellular partners,
including synaptic scaffolding proteins (Piccolo and Bassoon)
(33), cell-adhesion molecules (VE-cadherin and Intercellular
Adhesion Molecule 1 (ICAM1)) (34, 35), and membrane
8 J. Biol. Chem. (2022) 298(9) 102361
trafficking proteins (RABIN8) (36). These SR-binding partners
may engage Trio to coordinate GEF1 activation and/or deac-
tivation in a spatiotemporal manner. Indeed, several studies
have shown that Trio interactions with binding partners im-
pacts Rac1 activity in cells (32, 34, 35, 37, 38). For example,
VE-cadherin binds Trio SR5 and SR6, and this interaction
locally increases Rac1 activity in cells (34). Similarly, the
ICAM1 intracellular tail binds Trio GEF1, and the Trio/
ICAM1 interaction potentiates ICAM1 clustering at adhesion
sites, promoting Rac1 activation in cells (35). Finally, the in-
tegral membrane protein Kidins220 regulates Rac1-dependent
neurite outgrowth via interactions with the Trio SRs (37).
While these studies suggest that the Trio signaling partners
may engage and activate Trio GEF1 activity, the specific
interaction interfaces and binding stoichiometry that mediates
GEF1 activation and how they are impacted by disorder-
associated variants is presently unknown. Based on our evi-
dence that SR8 variants relieve autoinhibitory constraint, we
anticipate that SR8 may be a convergence point for upstream
activators and coordinated regulation of GEF1 activity.
Conclusions
TRIO has emerged as a significant risk gene for NDDs.
Using biochemical and genetic tools, we identified a novel
regulatory mechanism by which Trio SRs inhibit GEF1 activity
and showed that disorder-associated variants are sufficient to
relieve this autoinhibitory constraint. This discovery will serve
as a model to understand how Trio GEF1 is regulated by
physiological signals and how its disruption leads to NDDs.
This mechanism may also offer a new target for therapeutic
interventions for TRIO-associated NDDs.
Experimental procedures
Expression construct cloning and protein purification
Human Trio SR6-GEF1 was PCR amplified and inserted
into the pFastBac1 HTa vector (Invitrogen). Site-directed
mutagenesis was used to insert point mutations into pFast-
Bac1-Hta-SR6-GEF1 construct and confirmed by DNA
sequencing. Primers used for cloning are included in Table S1.
Recombinant baculoviruses were generated using Sf9 cells
(Bac-to-Bac expression system, Thermo Fisher Scientific).
Baculoviruses were used to infect Hi5 cells at an estimated
multiplicity of infection = 1 for 48 h before lysis in lysis buffer
(20 mM Hepes pH 7.25, 500 mM KCl, 5 mM β-mercaptoe-
thanol, 5% glycerol, 1% TritonX-100, 20 mM imidazole, 1 mM
DTT, 1 mM PMSF, 1× Roche cOmplete protease inhibitors
EDTA free) for 20 min at 4 (cid:3)C. Lysates were affinity purified
using Ni-NTA resin (Qiagen) and eluted with 250 mM imid-
azole. Elution fractions were further purified over an Sephadex
200 (S200) Increase 10/300 GL column into assay buffer
(20 mM Hepes pH 7.25, 150 mM KCl, 5% glycerol, 0.01%
TritonX-100, 1 mM DTT), aliquoted, and flash frozen for
long-term storage.
Human Trio GEF1 and Rac1 were generated and affinity
purified from bacterial cells as described in Blaise et al. (18).
Point mutants were generated using site-directed mutagenesis.
Trio GEF autoinhibition by spectrin repeats
Following affinity purification, eluted protein was further pu-
rified over an S200 Increase column into assay buffer, ali-
quoted, and flash frozen for long-term storage.
Stokes radii of proteins were estimated based on the elution
volume from the S200 Increase column, calculated based on a
standard curve generated by running protein standards (Pro-
tein Standard Mix 15–600 kDa, Supelco).
BODIPY-FL-GDP nucleotide exchange assays
12.8 μM Rac1 was loaded with 3.2 μM BODIPY-FL-GDP
(Invitrogen) in 1× assay buffer (20 mM Hepes pH 7.25,
150 mM KCl, 5% glycerol, 1 mM DTT, 0.01% TritonX-100)
plus 2 mM EDTA to a total volume of 25 μl per reaction,
then incubated for 1 h at room temperature. BODIPY-FL-GDP
loading onto Rac1 was halted by the addition of 5 μl of MgCl2,
for a total reaction volume of 30 μl with a final MgCl2 con-
centration of 5 mM. Prior to initiating the reaction with
100 nM Trio GEF, 30 μl of GTPase (12.8 μM) plus MgCl2
(5 mM) mix or blank (3.2 μM BODIPY-FL-GDP, 2 mM EDTA,
and 1× assay buffer) was added to appropriate wells. During
the BODIPY-FL-GDP loading incubation period, GEF1-
containing proteins were prepared in 1× assay buffer, 4 mM
GTP, and 2 mM MgCl2. Exchange reactions were initiated by
adding 10 μl of 100 nM Trio GEF mixture (as stated above) to
each well, for a total reaction volume of 40 μl. Real-time
fluorescence data was measured every 10 s for 30 min moni-
toring BODIPY-FL fluorescence by excitation at 488 nm and
emission at 535 nm, as per Blaise et al. (18).
All kobs measurements of GEF1 activity represent at least
three experimental replicates with three technical replicates
per experiment. Results are shown as the mean ± SD from
multiple experiments. A one-way ANOVA was used to
determine statistical significance between SR6-GEF1 and all
other variants (two-tailed p-value < 0.05) and adjusted using
Dunnett’s multiple comparisons test. Catalytic efficiencies
(kcat/KM) of selected SR6-GEF1 constructs were extracted
−1) versus GEF1 con-
from a linear fit of catalytic rate (kobs, s
centration (nM). Three experimental replicates were per-
formed for each SR6-GEF1 construct, and the catalytic
efficiency values were averaged. Results are shown as the
mean ± SD. A one-way ANOVA was used to determine sta-
tistical significance between SR6-GEF1 and all other variants
(two-tailed p-value < 0.05) and adjusted using Dunnett’s
multiple comparisons test.
Protein structure predictions
AlphaFold was used to access the predicted structure of
human Trio spectrin repeats 1-GEF1 (amino acids 201–1600),
entry number AF-O75962-F2 (19, 20). Swiss pdb Viewer was
used to model SR6-GEF1, amino acids 788 to 1599 (39).
DISOPRED was used to predict the probability of disorder of
Trio SR6-GEF1, amino acids 788 to 1599 (21).
Limited proteolysis
SR6-GEF1 in assay buffer plus 10 mM CaCl2 was diluted to
0.4 mg/ml and incubated with increasing concentrations of
J. Biol. Chem. (2022) 298(9) 102361 9
Trio GEF autoinhibition by spectrin repeats
trypsin (0.001 mg/ml–0.11 mg/ml) for 1 h at room tempera-
ture in a 25 μl total reaction volume. Reactions were quenched
with 8 μl quench buffer (50 mM Tris–HCl pH 6.8, 4% SDS,
10% glycerol, 0.1% bromophenol blue, 5% β-mercaptoethanol,
1 mM PMSF, 4 mM EGTA, 4 mM EDTA) and immediately
boiled for 10 min. Samples were immediately run on a 12%
SDS-PAGE gel, and proteins were visualized by Coomassie
R250 staining.
Major gel bands were excised and washed with 50:50 ace-
tonitrile:water buffer containing 100 mM ammonium bicar-
bonate. Proteins in the gel were reduced with 4.5 mM DTT at
37 (cid:3)C for 20 min and alkylated with 10 mM iodoacetamide at
room temperature for 20 min in the dark. Gel bands were
washed twice with 50:50 acetonitrile:water containing 100 mM
bicarbonate and dried for 10 min in a SpeedVac. Trypsin
digestion was carried out (1:100 M ratio of trypsin to protein)
by incubation with the gel piece at 37 (cid:3)C overnight. The digest
samples were analyzed by LC–MS/MS using a Q-Exactive Plus
mass spectrometer equipped with a Waters nanoACQUITY
ultra-performance liquid chromatography system using a
Waters Symmetry C18 180 μm by 20 mm trap column and a
1.7 μm (75 μm inner diameter by 250 mm) nanoACQUITY
ultra-performance liquid chromatography column (35 (cid:3)C) for
peptide separation. Trapping was done at 15 μl/min with 99%
buffer A (100% water, 0.1% formic acid) for 1 min. Peptide
separation was performed at 300 nl/min with buffer A and
buffer B (100% acetonitrile, 0.1% formic acid) over a linear
gradient. High-Energy collisional dissociation was utilized to
fragment peptide ions via data-dependent acquisition. Mass
spectral data were processed with Proteome Discoverer (v. 2.3)
and protein database search was carried out in Mascot search
engine (Matrix Science, LLC; v. 2.6.0). Protein searches were
conducted against the Trichoplusia ni protein database and the
human Trio SR6-GEF1 sequence. Mascot search parameters
included the following: parent peptide ion tolerance of
10.0 ppm; peptide fragment ion mass tolerance of 0.020 Da;
strict trypsin fragments (enzyme cleavage after the C terminus
of K or R, but not if it is followed by P); fixed modification of
carbamidomethyl (C); and variable modification of phospho
(S, T, Y), oxidation (M), and propioamidation (C), and dea-
midation (NQ). Peptide identification confidence was set at
95% confidence probability based on Mascot MOWSE score.
Results were transferred to Scaffold software (Proteome Soft-
ware; v. 4) for further data analysis to look at peptide abun-
dances in reference to their start position. These were utilized
to plot in a frequency distribution to determine band identity.
Cross-linking mass spectrometry
Cross-linking experiments were performed as in Sanchez
et al. (40) with deviations noted below. Twenty five micro-
grams of protein was incubated in assay buffer with 100 μM
BS3 (Thermo Fisher) for 30 min on ice. The reaction was
quenched by adding Tris pH 7.25 to 10 mM final concentra-
tion. Protein was then acetone precipitated and the pellet was
alkylated with iodoacetamide and digested with trypsin. Pep-
tides were desalted on a 100 μl Omix C18 tip (Agilent), dried,
10 J. Biol. Chem. (2022) 298(9) 102361
and reconstituted in 100 μl of 0.1% formic acid. Mass spec-
trometry was performed on an Orbitrap Exploris 480 equipped
with an EasySpray nanoESI source, an EasySpray 75 μm ×
15 cm C18 column, and a FAIMS Pro ion mobility interface
coupled with an UltiMate 3000 RSLCnano system (Thermo
Scientific). Each sample was analyzed at four different FAIMS
compensation voltages (CV = −40 V, −50 V, −60 V, −70 V) to
provide gas-phase enrichment/fractionation of cross-linked
peptide ions (41). Each analysis was a separate injection
(2.5 μl sample). The sample was loaded at 2% B at 600 nl/min
for 35 min followed by a multisegment elution gradient to 35%
B at 200 nl/min over 70 min with the remaining time used for
column washing and reequilibration (buffer A: 0.1% formic
acid (aq); buffer B: 0.1% formic acid in acetonitrile). Precursor
ions were acquired at 120,000 resolving power, and ions with
charges 3 to 8+ were isolated in the quadrupole using a 1.6 m/z
unit window and dissociated by HCD at 30% NCE. Product
ions were measured at 30,000 resolving power. Peak lists were
generated using PAVA (in house Python app), searched with
Protein Prospector v6.3.23 (42), and classified as unique res-
idue pairs using Touchstone (an in-house R library) at
SVM.score ≥1.5 corresponding to a residue pair
level
FDR < 0.1% and then further summarized and presented as
domain-domain pairs using Touchstone. A custom database
consisting of the human Trio construct and a 10× longer decoy
database (11 sequences total) was used in the Prospector
search, using tryptic specificity with 2-missed cleavages and
tolerance of 10/25 ppm (precursor/product). DSS/BS3 cross-
linking was specified.
Bio-layer interferometry
Kinetic binding assays were performed using a ForteBio BLItz
instrument. Ni-NTA biosensors were prehydrated in assay
buffer for 10 min prior to the experiment. Biosensors were first
measured for a baseline signal for 30 s before loading His-GEF1
(0.5 μM) or SR6-GEF1 (2 μM) in assay buffer for 5 min (con-
centrations were optimized for reproducible biosensor loading
and signal change). Biosensors were then re-equilibrated in
assay buffer for 30 s before introducing varying concentrations
of Rac1 (at least four concentrations per experiment) in assay
buffer for 5 min to measure association. Association curves
were fit to a one phase exponential curve to obtain a kobs value
and these values were plotted against Rac1 concentration to
calculate a Kd from the linear fit of this line, where the
y-intercept = koff and slope = kon (Kd = koff/kon). Concentration
gradients were replicated at least three times independently, and
the Kd measurements of each interaction were compared using
an unpaired t test. Reported values are mean ± SD.
Measurement of GEF and SR6-GEF1 impact on cell
morphology
PEI was used to transfect HEK293 cells with 0.5 to 4 μg of
DNA in 6-well dishes at a density of 3 × 105 cells per well.
Twenty four hours after transfection, cells were trypsinized and
replated at a density of 2.5 × 104 cells per coverslip on
fibronectin-coated coverslips (10 μg/ml fibronectin). Twenty
four hours post plating, cells were fixed and stained as in Lim
et al. (43). Cells were fixed for 5 min in 2% paraformaldehyde in
cytoskeleton buffer (10 mM MES pH 6.8, 138 mM KCl, 3 mM
MgCl2, 2 mM EGTA, 320 mM sucrose). Cells were rinsed three
times in Tris Buffered Saline (TBS) (20 mM Tris pH 7.4,
150 mM NaCl) and incubated with 5 μg/ml Alexa Fluor Wheat
Germ Agglutinin 555 in TBS (Thermo Fisher) for 10 min to
visualize the cell membrane when imaging. Cells were washed
another three times in TBS, then permeabilized for 10 min in
0.3% TritonX-100/TBS and washed another three times in 0.1%
TritonX-100/TBS. Cells were blocked for 30 min in antibody
dilution buffer (ADB) (0.1% TritonX-100, 2% bovine serum
albumin, 0.1% NaN3, 10% fetal bovine serum, TBS) and incu-
bated with primary antibody (ADB containing a 1:2000 dilution
of Goat Anti-GFP, Rockland) at 4 (cid:3)C overnight. The next
morning, cells were washed in 0.1% TritonX-100/TBS three
times and incubated in secondary antibody for 1 h at room
temperature (in ADB, 1:2000 Alexa Fluor 488 Donkey Anti-
Goat, Abcam). Cells were washed once in 0.1% TritonX-100/
TBS, once in TBS, and then mounted onto glass slides using
AquaMount (Lerner Laboratories). After drying, coverslips
were sealed using clear nail polish and imaged using a 40×
objective on a spinning disk confocal microscope (UltraVIEW
VoX spinning disk confocal (PerkinElmer) Nikon Ti-E-Eclipse),
collecting a full z-stack of images for each cell. Identical mi-
croscope settings were used between imaging samples.
After imaging cells, images were processed using Fiji/ImageJ
(44) to generate a sum projection of the GFP channel for
quantifying fluorescence as a proxy for total protein expres-
sion. Images were then analyzed using CellProfiler to semi-
automatically detect cell edges and compute cell area (45).
Cell area was normalized for protein expression on a single cell
basis by dividing the total area of the cell by the total GFP
fluorescence of the cell (a proxy for total protein expression).
Two biological replicates were performed, with 25 to 40 cells
quantified per group per replicate. Statistical significance of
differences in the normalized cell area was determined using a
one-way ANOVA between the GFP control and all other
groups (two-tailed p-value < 0.05) and adjusted using Dun-
nett’s multiple comparisons test.
Data availability
Data available upon request. Contact anthony.koleske@yale.
edu for more information.
The limited proteolysis mass spectrometry data have been
deposited to the ProteomeXchange Consortium via the PRIDE
(46) partner repository with the dataset identifier PXD034393
(http://www.ebi.ac.uk/pride).
The cross-linking raw mass spectrometry data and peak lists
are available in the massIVE repository (https://massive.ucsd.
edu) with accession number: MSV000089621
Annotated spectra supporting the cross-linked identifica-
tions are published on MS-Viewer (https://msviewer.ucsf.edu/
cgi-bin/msform.cgi?form=msviewer) with the following search
keys:
Trio SR6-GEF1-WT: l4abvtas5a
Trio GEF autoinhibition by spectrin repeats
Trio SR6-GEF1-E883D: mmmpkfzwvo
Trio SR6-GEF1-R1078Q: paout3qryt
Trio SR6-GEF1-D1368V: 7xhepmd94b
Supporting information—This article contains supporting informa-
tion (18).
Institutes
of Health
Acknowledgments—The mass spectrometers and the accompany
biotechnology tools within the MS & Proteomics Resource at Yale
University (used for limited proteolysis experiments) were funded in
part by the Yale School of Medicine and by the Office of The Di-
rector, National
(S10OD02365101A1,
S10OD019967, and S10OD018034). Crosslinking Mass spectrom-
etry experiments were supported by the Adelson Medical Research
Foundation and the University of California, San Francisco Program
for Breakthrough Biomedical Research. The funders had no role in
study design, data collection and analysis, decision to publish, or
preparation of the article. We thank Daisy Duan, Amanda Jeng, and
Wanqing Lyu for helpful comments on the article and Titus Boggon
and Kimmie Vish for helpful insights on structure modeling and
protein purification. We also thank Florine Collin and Jean Kanyo
for help with mass spectrometry sample preparation and data
collection, respectively.
Author contributions—J. E. B., E. E. C., and A. J. K. conceptualiza-
tion; J. E. B. and E. E. C. methodology; J. E. B., E. E. C., T. T. L., and
M. J. T. formal analysis; J. E. B., E. E. C., T. T. L., and M. J. T.
investigation; J. E. B., E. E. C., and A. J. K. writing–original draft; J. E.
B. and E. E. C. visualization; J. E. B., E. E. C., and A. J. K. funding
acquisition; J. E. B., E. E. C., and A. J. K. project administration; T. T.
L. and M. J. T. writing–review and editing; A. J. K. supervision.
Funding and additional information—This work was supported by
the National Institute of Health (NIH) grants R56MH122449, R01
MH115939, and R01 NS105640 to A. J. K., F31MH127891-01 to E.
E. C., and F31 NS113511-03 to J. E. B. The content is solely the
responsibility of the authors and does not necessarily represent the
official views of the National Institutes of Health.
Conflict of interest—The authors declare no competing financial
conflicts of interest.
Abbreviations—The abbreviations used are: ADB, antibody dilution
buffer; BS3, bis(sulfosuccinimidyl)suberate; DH1, Dbl homology
domain; FL, fluorescein; GEF, guanine exchange factor; NDD,
neurodevelopmental disorder; Ni-NTA, nitrilotriacetic acid; PH1,
pleckstrin homology domain; SR, spectrin repeat; TBS, Tris Buff-
ered Saline.
References
1. Debant, A., Serra-Pages, C., Seipel, K., O’Brien, S., Tang, M., Park, S. H.,
et al. (1996) The multidomain protein Trio binds the LAR trans-
membrane tyrosine phosphatase, contains a protein kinase domain, and
has separate rac-specific and rho-specific guanine nucleotide exchange
factor domains. Proc. Natl. Acad. Sci. U. S. A. 93, 5466–5471
2. Steven, R., Kubiseski, T. J., Zheng, H., Kulkarni, S., Mancillas, J., Ruiz
Morales, A., et al. (1998) UNC-73 activates the Rac GTPase and is
required for cell and growth cone migrations in C. elegans. Cell 92,
785–795
3. Penzes, P., Johnson, R. C., Kambampati, V., Mains, R. E., and Eipper, B. A.
(2001) Distinct roles for the two Rho GDP/GTP exchange factor domains
J. Biol. Chem. (2022) 298(9) 102361 11
Trio GEF autoinhibition by spectrin repeats
of kalirin in regulation of neurite growth and neuronal morphology. J.
Neurosci. 21, 8426–8434
4. Bellanger, J. M., Lazaro, J. B., Diriong, S., Fernandez, A., Lamb, N., and
Debant, A. (1998) The two guanine nucleotide exchange factor domains
of Trio link the Rac1 and the RhoA pathways in vivo. Oncogene 16,
147–152
5. Chhatriwala, M. K., Betts, L., Worthylake, D. K., and Sondek, J. (2007)
The DH and PH domains of Trio coordinately engage Rho GTPases for
their efficient activation. J. Mol. Biol. 368, 1307–1320
6. Rabiner, C. A., Mains, R. E., and Eipper, B. A. (2005) Kalirin: a dual rho
guanine nucleotide exchange factor that is so much more than the sum of
its many parts. Neuroscientist 11, 148–160
7. Saito, K., Tautz, L., and Mustelin, T. (2007) The lipid-binding SEC14
domain. Biochim. Biophys. Acta 1771, 719–726
8. Schiller, M. R., Ferraro, F., Wang, Y., Ma, X. M., McPherson, C. E.,
Sobota, J. A., et al. (2008) Autonomous functions for the Sec14p/spectrin-
repeat region of Kalirin. Exp. Cell Res. 314, 2674–2691
9. Vishwanatha, K. S., Wang, Y. P., Keutmann, H. T., Mains, R. E., and
Eipper, B. A. (2012) Structural organization of the nine spectrin repeats of
Kalirin. Biochemistry 51, 5663–5673
10. Bircher, J. E., and Koleske, A. J. (2021) Trio family proteins as regulators
of cell migration and morphogenesis in development and disease -
mechanisms and cellular contexts. J. Cell Sci. 134, jcs248393
11. Paskus, J. D., Herring, B. E., and Roche, K. W. (2020) Kalirin and trio:
RhoGEFs in synaptic transmission, plasticity, and complex brain disor-
ders. Trends Neurosci. 43, 505–518
12. Katrancha, S. M., Wu, Y., Zhu, M., Eipper, B. A., Koleske, A. J., and
Mains, R. E. (2017) Neurodevelopmental disease-associated de novo
mutations and rare sequence variants affect TRIO GDP/GTP exchange
factor activity. Hum. Mol. Genet. 26, 4728–4740
13. Pengelly, R. J., Greville-Heygate, S., Schmidt, S., Seaby, E. G., Jabalameli,
M. R., Mehta, S. G., et al. (2016) Mutations specific to the Rac-GEF
domain of TRIO cause intellectual disability and microcephaly. J. Med.
Genet. 53, 735–742
14. Sadybekov, A., Tian, C., Arnesano, C., Katritch, V., and Herring, B. E.
(2017) An autism spectrum disorder-related de novo mutation hotspot
discovered in the GEF1 domain of Trio. Nat. Commun. 8, 601
24. Debreceni, B., Gao, Y., Guo, F., Zhu, K., Jia, B., and Zheng, Y. (2004)
Mechanisms of guanine nucleotide exchange and Rac-mediated signaling
J. Biol. Chem. 279,
revealed by a dominant negative trio mutant.
3777–3786
25. McPherson, C. E., Eipper, B. A., and Mains, R. E. (2005) Multiple novel
isoforms of Trio are expressed in the developing rat brain. Gene 347,
125–135
26. van Rijssel, J., Hoogenboezem, M., Wester, L., Hordijk, P. L., and Van
Buul, J. D. (2012) The N-terminal DH-PH domain of Trio induces cell
spreading and migration by regulating lamellipodia dynamics in a Rac1-
dependent fashion. PLoS One 7, e29912
27. Schiller, M. R., Chakrabarti, K., King, G. F., Schiller, N. I., Eipper, B. A.,
and Maciejewski, M. W. (2006) Regulation of RhoGEF activity by intra-
molecular and intermolecular SH3 domain interactions. J. Biol. Chem.
281, 18774–18786
28. Schmidt, A., and Hall, A. (2002) Guanine nucleotide exchange factors for
rho GTPases: turning on the switch. Genes Dev. 16, 1587–1609
29. Xu, Z., Gakhar, L., Bain, F. E., Spies, M., and Fuentes, E. J. (2017) The
Tiam1 guanine nucleotide exchange factor is auto-inhibited by its
pleckstrin homology coiled-coil extension domain. J. Biol. Chem. 292,
17777–17793
30. Bellanger, J. M., Estrach, S., Schmidt, S., Briancon-Marjollet, A., Zugasti,
O., Fromont, S., et al. (2003) Different regulation of the Trio Dbl-
homology domains by their associated PH domains. Biol. Cell 95,
625–634
31. Kubiseski, T. J., Culotti, J., and Pawson, T. (2003) Functional analysis of
the Caenorhabditis elegans UNC-73B PH domain demonstrates a role in
activation of the Rac GTPase in vitro and axon guidance in vivo. Mol. Cell.
Biol. 23, 6823–6835
32. Tian, C., Paskus, J. D., Fingleton, E., Roche, K. W., and Herring, B. E.
(2021) Autism spectrum disorder/intellectual disability-associated muta-
tions in trio disrupt neuroligin 1-mediated synaptogenesis. J. Neurosci. 41,
7768–7778
33. Terry-Lorenzo, R. T., Torres, V. I., Wagh, D., Galaz, J., Swanson, S. K.,
Florens, L., et al. (2016) Trio, a rho family GEF, interacts with the pre-
synaptic active zone proteins Piccolo and Bassoon. PLoS One 11,
e0167535
15. Barbosa, S., Debant, A., Schmidt, S., and Baralle, D. (2020) Opposite
modulation of RAC1 by mutations in TRIO is associated with distinct,
domain-specific neurodevelopmental disorders. Am. J. Hum. Genet. 106,
338–355
34. Timmerman, I., Heemskerk, N., Kroon, J., Schaefer, A., van Rijssel, J.,
Hoogenboezem, M., et al. (2015) A local VE-cadherin and Trio-based
signaling complex stabilizes endothelial junctions through Rac1. J. Cell
Sci. 128, 3514
16. Newsome, T. P., Schmidt, S., Dietzl, G., Keleman, K., Asling, B.,
Debant, A., et al. (2000) Trio combines with dock to regulate Pak ac-
tivity during photoreceptor axon pathfinding in Drosophila. Cell 101,
283–294
35. van Rijssel, J., Kroon, J., Hoogenboezem, M., van Alphen, F. P., de Jong, R.
J., Kostadinova, E., et al. (2012) The Rho-guanine nucleotide exchange
factor Trio controls leukocyte transendothelial migration by promoting
docking structure formation. Mol. Biol. Cell 23, 2831–2844
17. Estrach, S., Schmidt, S., Diriong, S., Penna, A., Blangy, A., Fort, P., et al.
(2002) The human Rho-GEF trio and its target GTPase RhoG are
involved in the NGF pathway, leading to neurite outgrowth. Curr. Biol.
12, 307–312
18. Blaise, A. M., Corcoran, E. E., Wattenberg, E. S., Zhang, Y. L., Cottrell, J.
R., and Koleske, A. J. (2022) In vitro fluorescence assay to measure GDP/
GTP exchange of guanine nucleotide exchange factors of Rho family
GTPases. Biol. Methods Protoc. 7, bpab024
19. Jumper, J., Evans, R., Pritzel, A., Green, T., Figurnov, M., Ronneberger, O.,
et al. (2021) Highly accurate protein structure prediction with AlphaFold.
Nature 596, 583–589
20. Varadi, M., Anyango, S., Deshpande, M., Nair, S., Natassia, C., Yorda-
nova, G., et al. (2021) AlphaFold protein structure database: massively
expanding the structural coverage of protein-sequence space with high-
accuracy models. Nucleic Acids Res. 50, D439–D444
21. Ward, J. J., McGuffin, L. J., Bryson, K., Buxton, B. F., and Jones, D. T.
(2004) The DISOPRED server for the prediction of protein disorder.
Bioinformatics 20, 2138–2139
22. Hall, A. (1998) Rho GTPases and the actin cytoskeleton. Science 279,
509–514
36. Tao, T., Sun, J., Peng, Y., Li, Y., Wang, P., Chen, X., et al. (2019) Golgi-
resident TRIO regulates membrane trafficking during neurite outgrowth.
J. Biol. Chem. 294, 10954–10968
37. Neubrand, V. E., Thomas, C., Schmidt, S., Debant, A., and Schiavo, G.
(2010) Kidins220/ARMS regulates Rac1-dependent neurite outgrowth by
direct interaction with the RhoGEF Trio. J. Cell Sci. 123, 2111
38. Son, K., Smith, T. C., and Luna, E. J. (2015) Supervillin binds the rac/rho-
GEF trio and increases trio-mediated Rac1 activation. Cytoskeleton
(Hoboken) 72, 47–64
39. Guex, N., and Peitsch, M. C. (1997) Swiss-Model and the Swiss-
pdbViewer: an environment for comparative protein modeling. Electro-
phoresis 18, 2714–2723
40. Sanchez, N. A., Kallweit, L. M., Trnka, M. J., Clemmer, C. L., and Al-
Sady, B. (2021) Heterodimerization of H3K9 histone methyltransferases
G9a and GLP activates methyl reading and writing capabilities. J. Biol.
Chem. 297, 101276
41. Schnirch, L., Nadler-Holly, M., Siao, S. W., Frese, C. K., Viner, R., and
Liu, F. (2020) Expanding the depth and sensitivity of cross-link identifi-
cation by differential ion mobility using high-field asymmetric waveform
ion mobility spectrometry. Anal. Chem. 92, 10495–10503
23. Wells, C. M., Walmsley, M., Ooi, S., Tybulewicz, V., and Ridley, A. J.
(2004) Rac1-deficient macrophages exhibit defects in cell spreading and
membrane ruffling but not migration. J. Cell Sci. 117, 1259–1268
42. Trnka, M. J., Baker, P. R., Robinson, P. J., Burlingame, A. L., and Chalkley,
R. J. (2014) Matching cross-linked peptide spectra: only as good as the
worse identification. Mol. Cell. Proteomics 13, 420–434
12 J. Biol. Chem. (2022) 298(9) 102361
Trio GEF autoinhibition by spectrin repeats
43. Lim, C., Berk, J. M., Blaise, A., Bircher, J., Koleske, A. J., Hochstrasser, M.,
et al. (2020) Crystal structure of a guanine nucleotide exchange factor
encoded by the scrub typhus pathogen Orientia tsutsugamushi. Proc.
Natl. Acad. Sci. U. S. A. 117, 30380–30390
44. Schindelin, J., Arganda-Carreras, I., Frise, E., Kaynig, V., Longair, M.,
Pietzsch, T., et al. (2012) Fiji: an open-source platform for biological-
image analysis. Nat. Methods 9, 676–682
45. McQuin, C., Goodman, A., Chernyshev, V., Kamentsky, L., Cimini, B. A.,
Karhohs, K. W., et al. (2018) CellProfiler 3.0: next-generation image
processing for biology. PLoS Biol. 16, e2005970
46. Perez-Riverol, Y., Bai, J., Bandla, C., Hewapathirana, S., García-Seisdedos,
D., Kamatchinathan, S., et al. (2022) The PRIDE database resources in
2022: a hub for mass spectrometry-based proteomics evidences. Nucleic
Acids Res. 50, D543–D552
J. Biol. Chem. (2022) 298(9) 102361 13
| null |
10.1038_s41586-023-06415-8.pdf
|
Data availability
Design structures, AF2 models and experimental measurements are
available at https://figshare.com/s/439fdd59488215753bc3. Cryo-EM
maps and corresponding atomic models for the Influenza HA binder in
Fig. 6d–h have been deposited in the PDB and the Electron Microscopy
Data Bank under accession codes 8SK7 and EMDB-40557, respectively.
Electron microscopy data collected for the HE0537 oligomer are avail-
able at EMDB-40602.
Code availability
Code for running RFdiffusion has been released on GitHub, free for
academic, personal and commercial use at https://github.com/Rosetta-
Commons/RFdiffusion. It is also available as a Google Colab notebook,
accessible through GitHub.
|
Data availability Design structures, AF2 models and experimental measurements are available at https://figshare.com/s/439fdd59488215753bc3 . Cryo-EM maps and corresponding atomic models for the Influenza HA binder in Fig. 6d -h have been deposited in the PDB and the Electron Microscopy Data Bank under accession codes 8SK7 and EMDB-40557, respectively. Electron microscopy data collected for the HE0537 oligomer are available at EMDB-40602 . Code availability Code for running RFdiffusion has been released on GitHub, free for academic, personal and commercial use at https://github.com/Rosetta- Commons/RFdiffusion . It is also available as a Google Colab notebook, accessible through GitHub.
|
De novo design of protein structure and
function with RFdiffusion
https://doi.org/10.1038/s41586-023-06415-8
Received: 14 December 2022
Accepted: 7 July 2023
Published online: 11 July 2023
Open access
Check for updates
Joseph L. Watson1,2,15, David Juergens1,2,3,15, Nathaniel R. Bennett1,2,3,15, Brian L. Trippe2,4,5,15,
Jason Yim2,6,15, Helen E. Eisenach1,2,15, Woody Ahern1,2,7,15, Andrew J. Borst1,2, Robert J. Ragotte1,2,
Lukas F. Milles1,2, Basile I. M. Wicky1,2, Nikita Hanikel1,2, Samuel J. Pellock1,2, Alexis Courbet1,2,8,
William Sheffler1,2, Jue Wang1,2, Preetham Venkatesh1,2,9, Isaac Sappington1,2,9,
Susana Vázquez Torres1,2,9, Anna Lauko1,2,9, Valentin De Bortoli8, Emile Mathieu10,
Sergey Ovchinnikov11,12, Regina Barzilay6, Tommi S. Jaakkola6, Frank DiMaio1,2, Minkyung Baek13
& David Baker1,2,14 ✉
There has been considerable recent progress in designing new proteins using deep-
learning methods1–9. Despite this progress, a general deep-learning framework for
protein design that enables solution of a wide range of design challenges, including
de novo binder design and design of higher-order symmetric architectures, has yet to
be described. Diffusion models10,11 have had considerable success in image and
language generative modelling but limited success when applied to protein modelling,
probably due to the complexity of protein backbone geometry and sequence–structure
relationships. Here we show that by fine-tuning the RoseTTAFold structure prediction
network on protein structure denoising tasks, we obtain a generative model of protein
backbones that achieves outstanding performance on unconditional and topology-
constrained protein monomer design, protein binder design, symmetric oligomer
design, enzyme active site scaffolding and symmetric motif scaffolding for therapeutic
and metal-binding protein design. We demonstrate the power and generality of the
method, called RoseTTAFold diffusion (RFdiffusion), by experimentally characterizing
the structures and functions of hundreds of designed symmetric assemblies, metal-
binding proteins and protein binders. The accuracy of RFdiffusion is confirmed by the
cryogenic electron microscopy structure of a designed binder in complex with influenza
haemagglutinin that is nearly identical to the design model. In a manner analogous to
networks that produce images from user-specified inputs, RFdiffusion enables the
design of diverse functional proteins from simple molecular specifications.
De novo protein design seeks to generate proteins with specified
structural and/or functional properties, for example, making a bind-
ing interaction with a given target12, folding into a particular topology13
or containing a catalytic site4. Denoising diffusion probabilistic models
(DDPMs), a powerful class of machine learning models recently dem-
onstrated to generate new photorealistic images in response to text
prompts14,15, have several properties well suited to protein design. First,
DDPMs generate highly diverse outputs, as they are trained to denoise
data (for instance, images or text) that have been corrupted with Gauss-
ian noise. By learning to stochastically reverse this corruption, diverse
outputs closely resembling the training data are generated. Second,
DDPMs can be guided at each step of the iterative generation process
towards specific design objectives through provision of conditioning
information. Third, for almost all protein design applications it is neces-
sary to explicitly model three-dimensional (3D) structures; rotation-
ally equivariant DDPMs can do this in a global representation frame
independent manner. Recent work has adapted DDPMs for protein
monomer design by conditioning on small protein ‘motifs’5,9 or on sec-
ondary structure and block-adjacency (‘fold’) information8. Although
promising, these attempts have shown limited success in generating
sequences that fold to the intended structures in silico5,16, probably due
to the limited ability of the denoising networks to generate realistic
protein backbones, and have not been tested experimentally.
We reasoned that improved diffusion models for protein design
could be developed by taking advantage of the deep understanding of
protein structure implicit in powerful structure prediction methods
1Department of Biochemistry, University of Washington, Seattle, WA, USA. 2Institute for Protein Design, University of Washington, Seattle, WA, USA. 3Graduate Program in Molecular
Engineering, University of Washington, Seattle, WA, USA. 4Columbia University, Department of Statistics, New York, NY, USA. 5Irving Institute for Cancer Dynamics, Columbia University,
New York, NY, USA. 6Massachusetts Institute of Technology, Cambridge, MA, USA. 7Paul G. Allen School of Computer Science and Engineering, University of Washington, Seattle, WA, USA.
8National Centre for Scientific Research, École Normale Supérieure rue d’Ulm, Paris, France. 9Graduate Program in Biological Physics, Structure and Design, University of Washington, Seattle,
WA, USA. 10Department of Engineering, University of Cambridge, Cambridge, UK. 11Faculty of Applied Sciences, Harvard University, Cambridge, MA, USA. 12John Harvard Distinguished Science
Fellowship, Harvard University, Cambridge, MA, USA. 13School of Biological Sciences, Seoul National University, Seoul, Republic of Korea. 14Howard Hughes Medical Institute, University of
Washington, Seattle, WA, USA. 15These authors contributed equally: Joseph L. Watson, David Juergens, Nathaniel R. Bennett, Brian L. Trippe, Jason Yim, Helen E. Eisenach, Woody Ahern.
✉e-mail: dabaker@uw.edu
Nature | Vol 620 | 31 August 2023 | 1089
Articlesuch as AlphaFold2 (ref. 17) (AF2) and RoseTTAFold18 (RF). RF has prop-
erties well suited for use in a protein design DDPM (Fig. 1a): it gener-
ates protein structures with high precision, operates on a rigid-frame
representation of residues with rotational equivariance and has an
architecture enabling conditioning on design specifications at the
individual residue, inter-residue distance and orientation, and 3D
coordinate levels. In previous work, we fine-tuned RF to complete
protein backbones around input functional motifs in a single step
(RFjoint Inpainting4). Experimental characterization showed that the
method can scaffold a wide range of protein functional motifs with
atomic accuracy19, but the approach fails on minimalist site descrip-
tions that do not sufficiently constrain the overall fold and, because it
is deterministic, can produce only a limited diversity of designs for a
given problem. We reasoned that by fine-tuning RF as the denoising net-
work in a generative diffusion model instead, we could overcome both
problems: because the starting point is random noise, each denoising
trajectory yields a different solution, and because structure is built up
progressively through many denoising iterations, little to no starting
structural information should be required. In this study, we used an
updated version of RF18 as the basis for the denoising network archi-
tecture (Supplementary Methods), but other equivariant structure
prediction networks (AF2 (ref. 17), OmegaFold20, ESMFold21) could in
principle be substituted into an analogous DDPM.
We construct a RF-based diffusion model, RFdiffusion, using the RF
frame representation that comprises a Cα coordinate and N-Cα-C rigid
orientation for each residue. We generate training inputs by noising
structures sampled from the Protein Data Bank (PDB) for up to 200
steps22. For translations, we perturb Cα coordinates with 3D Gaussian
noise. For residue orientations, we use Brownian motion on the mani-
fold of rotation matrices (building on refs. 23,24). To enable RFdiffusion
to learn to reverse each step of the noising process, we train the model
by minimizing a mean-squared error (m.s.e.) loss between frame pre-
dictions and the true protein structure (without alignment), averaged
across all residues (Supplementary Methods). This loss drives denoising
trajectories to match the data distribution at each timestep and hence
to converge on structures of designable protein backbones (Extended
Data Fig. 2a). The m.s.e. contrasts to the loss used in RF structure predic-
tion training (frame aligned point error or FAPE) in that, unlike FAPE,
m.s.e. loss is not invariant to the global reference frame and therefore
promotes continuity of the global coordinate frame between timesteps
(Supplementary Methods).
To generate a new protein backbone, we first initialize random resi-
due frames and RFdiffusion makes a denoised prediction. Each residue
frame is updated by taking a step in the direction of this prediction with
some noise added to generate the input to the next step. The nature
of the noise added and the size of this reverse step is chosen such that
the denoising process matches the distribution of the noising process
(Supplementary Methods and Extended Data Fig. 2a). RFdiffusion
initially seeks to match the full breadth of possible protein structures
compatible with the purely random frames with which it is initialized,
and hence the denoised structures do not initially seem protein-like
(Fig. 1c, left). However, through many such steps, the breadth of pos-
sible protein structures from which the input could have arisen narrows
and RFdiffusion predictions come to closely resemble protein struc-
tures (Fig. 1c, right). We use the ProteinMPNN network1 to subsequently
design sequences encoding these structures, typically sampling eight
sequences per design in line with previous work5,16 (but see Supplemen-
tary Fig. 2a). We also considered simultaneously designing structure
and sequence within RFdiffusion, but given the excellent performance
of combining ProteinMPNN with the diffusion of structure alone, we
did not extensively explore this possibility.
Figure 1a highlights the similarities between RF structure predic-
tion and an RFdiffusion denoising step: in both cases, the networks
transform coordinates into a predicted structure, conditioned on
inputs to the model. In RF, sequence is the primary input, with extra
1090 | Nature | Vol 620 | 31 August 2023
structural information provided as templates and initial coordinates to
the model. In RFdiffusion, the primary input is the noised coordinates
from the previous step. For specific design tasks, a range of auxiliary
conditioning information, including partial sequence, fold informa-
tion or fixed functional-motif coordinates can be provided (Fig. 1b and
Supplementary Methods).
We explored two different strategies for training RFdiffusion:
(1) in a manner akin to ‘canonical’ diffusion models, with predictions
at each timestep independent of predictions at previous timesteps
(as in previous work5,8,9,16), and (2) with self-conditioning25, in which
the model can condition on previous predictions between timesteps
(Fig. 1a, bottom row and Supplementary Methods). The latter strategy
was inspired by the success of ‘recycling’ in AF2, which is also central
to the more recent RF model used here (Supplementary Methods).
Self-conditioning within RFdiffusion notably improved performance
on in silico benchmarks encompassing both conditional and uncondi-
tional protein design tasks (Fig. 2e and Extended Data Fig. 1e). Increased
coherence of predictions within self-conditioned trajectories may,
at least in part, explain these performance increases (Extended Data
Fig. 1h). Fine-tuning RFdiffusion from pretrained RF weights was far
more successful than training for an equivalent length of time from
untrained weights (Extended Data Fig. 1f,g, also Supplementary Fig. 1)
and the m.s.e. loss was also crucial for unconditional generation
(Extended Data Fig. 1d). For all in silico benchmarks in this paper, we
use the AF2 structure prediction network17 for validation and define an
in silico ‘success’ as an RFdiffusion output for which the AF2 structure
predicted from a single sequence is (1) of high confidence (mean pre-
dicted aligned error (pAE), less than five), (2) globally within a 2 Å back-
bone root mean-squared deviation (r.m.s.d.) of the designed structure
and (3) within 1 Å backbone r.m.s.d. on any scaffolded functional site
(Supplementary Methods). This measure of in silico success has been
found to correlate with experimental success4,7,26 and is significantly
more stringent than template modelling (TM)-score-based metrics
used elsewhere5,16,27–29 (Supplementary Fig. 2c,d).
Unconditional protein monomer generation
As shown in Fig. 2a–c and Supplementary Fig. 3c,d, starting from ran-
dom noise, RFdiffusion can readily generate elaborate protein struc-
tures with little overall structural similarity to structures seen during
training, indicating considerable generalization beyond the PDB (see
Supplementary Table 1 for a comparison of all designs in the paper to
the PDB). The designs are diverse (Supplementary Fig. 3a), spanning
a wide range of alpha, beta and mixed alpha–beta topologies, with
AF2 and ESMFold (Fig. 2c, Extended Data Fig. 1b,c and Supplemen-
tary Fig. 2b) predictions very close to the design structure models for
de novo designs with as many as 600 residues. RFdiffusion generates
plausible structures for even very large proteins, but these are difficult
to validate in silico as they are probably generally beyond the single
sequence prediction capabilities of AF2 and ESMFold. The quality and
diversity of designs that are sampled are inherent to the model, and do
not depend on any auxiliary conditioning input (for example, second-
ary structure information8). We experimentally characterized six of
the 300 amino acid designs and three of the 200 amino acid designs,
and found that they have circular dichroism spectra consistent with
the mixed alpha–beta topologies of the designs and are extremely
thermostable (Extended Data Fig. 3). Physics-based protein design
methodologies have struggled in unconstrained generation of diverse
protein monomers because of the difficulty of sampling on the very
large and rugged conformational landscape30, and overcoming this
limitation has been a primary test of deep-learning based protein
design approaches5,6,8,16,27,31. RFdiffusion strongly outperforms (based
on the AF2 success metric described above) Hallucination with RF, an
experimentally validated method using Monte Carlo search or gradient
descent to identify sequences predicted to fold into stable structures
Articlea
Diffusion model
b
XT
X0
Unconditional
Forward (noising) process
N(0,1)
Gaussian
noise
...
Single
step
Protein
structure
XT
Xt
Xt–1
X0
Reverse (generative) process
MADHTI?DTREE
RF
RoseTTAFold
Input
sequence
Homologous
templates
Initial/recycled
coordinates
RFdiffusion
Masked input
sequence
ˆX0
(self-
conditioning)
t+1
Xt
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coordinates
Predicted
structure
????????????
RF
Single RFdiffusion step
Xt
RF
ˆX0
ˆ
interp(Xt, X0) + ε
Xt–1
Self-conditioning
Symmetric noise
Symmetric oligomers
Binding target
Binder design
ˆ
X0
Functional motif
Motif scaffolding
Symmetric motif
Symmetric scaffolding
c
t = 200
t = 175
t = 150
t = 125
t = 100
t = 1
)
t
u
p
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i
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t
X
)
n
o
i
t
c
d
e
r
p
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(
0
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Fig. 1 | Protein design using RFdiffusion. a, Diffusion models for proteins are
trained to recover corrupted (noised) protein structures and to generate new
structures by reversing the corruption process through iterative denoising
of initially random noise XT into a realistic structure X0 (top panel). The RF
structure prediction network (middle panel, left side) is fine-tuned with
minimal architectural changes into RFdiffusion (middle panel, right side); the
denoising network of a DDPM is also shown. In RF, the primary input to the
model is the sequence. In RFdiffusion, the primary input is diffused residue
frames (coordinates and orientations). In both cases, the model predicts final
3D coordinates (denoted X0 in RFdiffusion). The bottom panel shows that in
RFdiffusion, the model receives its previous prediction as a template input
(‘self-conditioning’, Supplementary Methods). At each timestep t of a trajectory
(typically 200 steps), RFdiffusion takes X
0
from the previous step and Xt and
+1
t
t
). The next coordinate input to
then predicts an updated X0 structure (X
0
t
the model (Xt−1) is generated by a noisy interpolation (interp) towards X
0.
b, RFdiffusion is broadly applicable for protein design. RFdiffusion generates
protein structures either without further input (top row) or by conditioning on
(top to bottom): symmetry specifications; binding targets; protein functional
motifs or symmetric functional motifs. In each case random noise, along with
conditioning information, is input to RFdiffusion, which iteratively refines
that noise until a final protein structure is designed. c, An example of an
unconditional design trajectory for a 300-residue chain, depicting the input to
prediction. At early timesteps (high t),
the model (Xt) and the corresponding X0
bears little resemblance to a protein but is gradually refined into a realistic
X0
protein structure.
(Fig. 2d). RFdiffusion generation is also more compute efficient than
unconstrained Hallucination with RF, and efficiency can be greatly
improved by taking larger steps at inference time and by truncating tra-
jectories early, which is possible because RF predicts the final structure
at each timestep (Extended Data Fig. 2b,c). For example, a 100-residue
protein can be generated in as little as 11 s on an NVIDIA RTX A4000
Graphical Processing Unit, in contrast to RF Hallucination, which takes
around 8.5 min.
It is often desirable to be able to specify a protein fold during design
(such as triose-phosphate isomerase (TIM) barrels or cavity-containing
Nature | Vol 620 | 31 August 2023 | 1091
300 amino acids
600 amino acids
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Fig. 2 | Outstanding performance of RFdiffusion for monomer generation.
a, RFdiffusion can generate new monomeric proteins of different lengths
(left 300, right 600) with no conditioning information. Grey, design model;
colours, AF2 prediction. r.m.s.d. AF2 versus design (Å), left to right: 0.90,
0.98, 1.15, 1.67. b, Unconditional designs from RFdiffusion are new and not
present in the training set as quantified by highest TM-score to the PDB;
the divergence from previously known structures increases with length.
c, Unconditional samples are closely repredicted by AF2 up to about 400 amino
acids. d, RFdiffusion significantly outperforms Hallucination (with RF) at
unconditional monomer generation (two-proportion z-test of in silico success:
n = 400 designs per condition, z = 9.5, P = 1.6 × 10−21). Although Hallucination
successfully generates designs up to 100 amino acids in length, in silico success
rates rapidly deteriorate beyond this length. e, Ablating pretraining (by starting
from untrained RF), RFdiffusion fine-tuning (that is, using original RF structure
prediction weights as the denoiser), self-conditioning or m.s.e. losses (by
training with FAPE) each notably decrease the performance of RFdiffusion.
r.m.s.d. between design and AF2 is shown, for the unconditional generation of
300 amino acid proteins (Supplementary Methods). f, Two example 300 amino
acid proteins that expressed as soluble monomers. Designs (grey) overlaid with
AF2 predictions (colours) are shown on the left, alongside circular dichroism
(CD) spectra (top) and melt curves (bottom) on the right. The designs are highly
thermostable. g, RFdiffusion can condition on fold information. An example
TIM barrel is shown (bottom left), conditioned on the secondary structure and
block adjacency of a previously designed TIM barrel, PDB 6WVS (top left).
Designs have very similar circular dichroism spectra to PDB 6WVS (top right)
and are highly thermostable (bottom right). See also Extended Data Fig. 3 for
further traces. Boxplots represent median ± interquartile range; tails are
minimum and maximum excluding outliers (±1.5× interquartile range).
NTF2s for small molecule binder and enzyme design32,33), and thus we
further fine-tuned RFdiffusion to condition on secondary structure
and/or fold information, enabling rapid and accurate generation of
diverse designs with the desired topologies (Fig. 2g and Extended Data
Fig. 4). In silico success rates were 42.5 and 54.1% for TIM barrels and
NTF2 folds, respectively (Extended Data Fig. 4d), and experimental
1092 | Nature | Vol 620 | 31 August 2023
Article
characterization of 11 TIM barrel designs indicated that at least eight
designs were soluble, thermostable and had circular dichroism spectra
consistent with the design model (Fig. 2g and Extended Data Fig. 4e,f).
Design of higher-order oligomers
There is considerable interest in designing symmetric oligomers, which
can serve as vaccine platforms34, delivery vehicles35 and catalysts36.
Cyclic oligomers have been designed using structure prediction net-
works with an adaptation of Hallucination that searches for sequences
predicted to fold to the desired cyclic symmetry, but this approach
fails for higher-order dihedral, tetrahedral, octahedral and icosahedral
symmetries, probably in part because of the much lower representation
of such structures in the PDB7.
We set out to generalize RFdiffusion to create symmetric oligomeric
structures with any specified point group symmetry. Given a specifica-
tion of a point group symmetry for an oligomer with n chains, and the
monomer chain length, we generate random starting residue frames
for a single monomer subunit as in the unconditional generation case,
and then generate n − 1 copies of this starting point arranged with the
specified point group symmetry. Because RFdiffusion is equivariant
(inherited from RF) with respect to rotation and relabelings of chains,
symmetry is largely maintained in the denoising predictions; we explic-
itly resymmetrize at each step but this changes the structures only
slightly (compare grey and coloured chains in Extended Data Fig. 5a
and Supplementary Methods). For octahedral and icosahedral archi-
tectures, we explicitly model only the smallest subset of monomers
required to generate the full assembly (for example, for icosahedra,
the subunits at the five-, three- and twofold symmetry axes) to reduce
the computational cost and memory footprint.
Despite not being trained on symmetric inputs, RFdiffusion is able
to generate symmetric oligomers with high in silico success rates
(Extended Data Fig. 5b), particularly when guided by an auxiliary inter-
and intrachain contact potential (Extended Data Fig. 5c). As illustrated
in Fig. 3 and Extended Data Fig. 5e, RFdiffusion designs are nearly indis-
tinguishable from AF2 predictions of the structures adopted by the
designed sequences, and many show little resemblance to previously
solved protein structures (Extended Data Fig. 5d and Supplementary
Table 1). Several of the oligomeric topologies are not seen in the PDB,
including two-layer beta barrels (Fig. 3a, C10 symmetry) and complex
mixed alpha/beta topologies (Fig. 3a, C8 symmetry; closest TM align
in PDB 6BRP, 0.47, and PDB 6BRO, 0.43, respectively).
We selected 608 designs for experimental characterization and
found using size-exclusion chromatography (SEC) that at least 87
had oligomerization states closely consistent with the design mod-
els (within the 95% confidence interval, 126 designs within the 99%
confidence interval, as determined by SEC calibration curves; Sup-
plementary Figs. 4 and 5). We took advantage of the increased size
of these oligomers (compared to the smaller unconditional and
fold-conditioned monomers described above) and collected nega-
tive stain electron microscopy (nsEM) data on a subset of these designs
across different symmetry groups. For most, distinct particles were
evident with shapes resembling the design models in both the raw
micrographs and subsequent two-dimensional (2D) classifications
(Fig. 3 and Extended Data Fig. 5f). nsEM characterization of a C3
design (HE0822) with 350 residue subunits (1,050 residues in total)
suggests that the actual structure is very close to the design, both
over the 350 residue subunits and the overall C3 architecture. 2D class
averages are clearly consistent with both top and side views of the
design model, and a 3D reconstruction of the density has key features
consistent with the design, including the distinctive pinwheel shape
(Fig. 3b, top row). Electron microscopy 2D class averages of C5 and
C6 designs with more than 750 residues (HE0794, HE0789, HE0841)
were also consistent with the respective design models (Extended
Data Fig. 5f).
RFdiffusion also generated cyclic oligomers with alpha and/or beta
barrel structures that resemble expanded TIM barrels and provide an
interesting comparison between innovation during natural evolution
and innovation through deep learning. The TIM barrel fold, with eight
strands and eight helices, is one of the most abundant folds in nature37.
nsEM confirmed the structure of two RFdiffusion designed cyclic oli-
gomers, which considerably extend beyond this fold (Fig. 3b, bottom
rows). HE0626 is a C6 alpha–beta barrel composed of 18 strands and
18 helices, and HE0675 is a C8 octamer composed of an inner ring of 16
strands and an outer ring of 16 helices arranged locally in a very similar
repeating pattern to the TIM barrel (1:1 helix:strand). For both HE0626
and HE0675 we obtained nsEM 3D reconstructions that are in agree-
ment with the computational design models. The HE0600 design is
also an alpha–beta barrel (Extended Data Fig. 5f), but has two strands
for every helix (24 strands and 12 helices in total) and hence is locally
different from a TIM barrel. Whereas natural evolution has extensively
explored structural variations of the classic eight-strand or eight-helix
TIM barrel fold, RFdiffusion can more readily explore global changes
in barrel curvature, enabling discovery of TIM barrel-like structures
with many more helices and strands.
RFdiffusion also readily generated structures with dihedral, tet-
rahedral and icosohedral symmetries (Fig. 3c,d and Extended Data
Fig. 5e,f). SEC characterization indicated that 38 D2, seven D3 and three
D4 designs had the expected molecular weights (these have four, six
and eight chains, respectively) (Supplementary Fig. 5). Although the
D2 dihedrals are too small for nsEM, 2D class averages—and for some,
3D reconstructions of D3 and D4 designs—were congruent with the
overall topologies of the design models (Fig. 3c and Extended Data
Fig. 5f). Similarly, 3D reconstruction (Fig. 3c) and cryogenic electron
microscopy (cryo-EM) 2D class averages (Extended Data Fig. 5g and Sup-
plementary Fig. 6) of the D4 HE0537 closely match the design model,
recapitulating the roughly 45° offset between tetramic subunits. 2D
nsEM class averages for a 12-chain tetrahedron (HE0964) were consist-
ent with the design model (Extended Data Fig. 5f). Forty-eight icosa-
hedra were selected for experimental validation, and one, HE0902, a
15 nm (diameter) highly porous assembly (Fig. 3d, left) was observed in
nsEM micrographs to form homogeneous particles. 2D class averages
and a 3D reconstruction very closely match the design model (Fig. 3d),
with triangular hubs arrayed around the empty C5 axes. Designs such
as HE0902 (and future similar large assemblies) should be useful as
new nanomaterials and vaccine scaffolds, with robust assembly and
(in the case of HE0902) the outward facing N and C termini offering
many possibilities for antigen display.
Functional-motif scaffolding
We next investigated the use of RFdiffusion for scaffolding protein
structural motifs that carry out binding and catalytic functions, in
which the role of the scaffold is to hold the motif in precisely the 3D
geometry needed for optimal function. In RFdiffusion, we input motifs
as 3D coordinates (including sequence and sidechains) both during
conditional training and inference, and build scaffolds that hold the
motif atomic coordinates in place. Many deep-learning methods
have been developed recently to address this problem, including
RFjoint Inpainting4, constrained Hallucination4 and other DDPMs5,8,29. To
rigorously evaluate the performance of these methods in comparison
to RFdiffusion across a broad set of design challenges, we established
an in silico benchmark test (Supplementary Table 9) comprising 25
motif-scaffolding design problems addressed in six recent publications
encompassing several design methodologies4,5,29,38–40. The challenges
span a broad range of motifs, including simple ‘inpainting’ problems,
viral epitopes, receptor traps, small molecule binding sites, binding
interfaces and enzyme active sites.
RFdiffusion solves 23 of the 25 benchmark problems, compared to
15 for Hallucination and 19 for RFjoint Inpainting (Fig. 4a,b). For 19 out
Nature | Vol 620 | 31 August 2023 | 1093
a
D2
C6
C8
C10
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AF2
2D class averages
3D reconstruction
HE0822
C3
HE0626
C6
HE0675
C8
c
HE0490
D3
HE0537
D4
90º
90º
90º
90º
90º
HE0902
HE0902
Representative
Representative
micrograph
micrograph
C3
C3
C2
C2
C5
C5
50 nm
90 A
Fig. 3 | Design and experimental characterization of symmetric oligomers.
a, RFdiffusion-generated assemblies overlaid with the AF2 structure
predictions based on the designed sequences; in all five cases they are nearly
indistinguishable (for the octahedron (bottom), the prediction was for the C3
substructure). Symmetries are indicated to the left of the design models.
b,c, Designed assemblies characterized by nsEM. Model symmetries are as
follows: cyclic, C3 (HE0822, 350 amino acids (AA) per chain), C6 (HE0626, 100
AA per chain) and C8 (HE0675, 60 AA per chain) (b); dihedral, D3 (HE0490, 80
AA per chain) and D4 (HE0537, 100 AA per chain) (c). From left to right:
(1) symmetric design model, (2) AF2 prediction of design following sequence
design with ProteinMPNN, (3) 2D class averages showing both top and side
views (scale bar, 60 Å for all class averages) and (4) 3D reconstructions from
class averages with the design model fit into the density map. The overall
shapes are consistent with the design models, and confirm the intended
oligomeric state. As in a, AF2 predictions of each design are nearly
indistinguishable from the design model (backbone r.m.s.d.s (Å) for HE0822,
HE0626, HE0490, HE0675 and HE0537, are 1.33, 1.03, 0.60, 0.74 and 0.75,
respectively). d, nsEM characterization of an icosahedral particle (HE0902,
100 AA per chain). The design model, including the AF2 prediction of the C3
subunit are shown on the left. nsEM data are shown on the right: on top, a
representative micrograph is shown alongside 2D class averages along each
symmetry axis (C3, C2 and C5, from left to right) with the corresponding 3D
reconstruction map views shown directly below overlaid on the design model.
of 23 of the problems solved by RFdiffusion, the fraction of successful
designs is higher than either Hallucination or RFjoint Inpainting. The
excellent performance of RFdiffusion required no hyperparameter tun-
ing or external potentials; this contrasts with Hallucination, for which
problem-specific optimization can be required. In 17 out of 23 of the
problems, RFdiffusion-generated successful solutions with higher in
silico success rates when noise was not added during the reverse diffu-
sion trajectories (see Extended Data Fig. 1i for further discussion on the
1094 | Nature | Vol 620 | 31 August 2023
Article
a
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p53
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RFdiffusion outperforms hallucination and RFjoint
5TRV long
7MRX 128
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Diffusion, noise = 0
Diffusion, noise = 1
Hallucination, MPNN
Hallucination, no MPNN
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Input
Design
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Oxidoreductase (EC1)
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p53/MDM2
Enzyme active
site scaffolding
EC1
EC2
EC3
EC4
EC5
Fig. 4 | Scaffolding of diverse functional sites with RFdiffusion. a, RFdiffusion
outperforms other methods across 25 benchmark motif-scaffolding problems
collected from six recent publications (Supplementary Table 9). In silico
success is defined as AF2 r.m.s.d. to design model less than 2 Å, AF2 r.m.s.d. to
the native functional motif less than 1 Å and AF2 pAE less than five. One
hundred designs were generated per problem, with no previous optimization
on the benchmark set (some optimization was necessary for Hallucination).
Supplementary Table 10 presents full results. In silico success rates on the
problems are correlated between the methods, and RFdiffusion can still
struggle on challenging problems in which all methods have low success.
b, Four examples of designs in which RFdiffusion significantly outperforms
existing methods. Teal, native motif; colours, AF2 prediction of a design.
Metrics (r.m.s.d. AF2 versus design/versus native motif (Å), AF2 pAE): 5TRV
long, 1.17/0.57; 4.73; 6E6R long, 0.89/0.27, 4.56; 7MRX long, 0.84/0.82 4.32;
5TPN, 0.59/0.49 3.77. c, RFdiffusion can scaffold the p53 helix that binds MDM2
(left) and makes extra contacts with the target (right, average 31% increased
surface area. Design was p53_design_89). Designs were generated with an
RFdiffusion model fine-tuned on complexes. d, BLI measurements indicate
high-affinity binding to MDM2 (p53_design_89, 0.7 nM; p53_design_53,
0.5 nM); the native affinity is 600 nM (ref. 42). e, Out of 95 designs, 55 showed
binding to MDM2 (more than 50% of maximum response). Thirty-two
of these were monomeric (Supplementary Fig. 10h). f, After fine-tuning
(Supplementary Methods), RFdiffusion can scaffold enzyme active sites.
An oxidoreductase example (EC1) is shown (PDB 1A4I); catalytic site (teal);
RFdiffusion output (grey, model; colours, AF2 prediction); zoom of active site.
AF2 versus design backbone r.m.s.d. 0.88 Å, AF2 versus design motif backbone
r.m.s.d. 0.53 Å, AF2 versus design motif full-atom r.m.s.d. 1.05 Å, AF2 pAE 4.47.
g, In silico success rates on active sites derived from EC1-5 (AF2 Motif r.m.s.d.
versus native: backbone less than 1 Å, backbone and sidechain atoms less than
1.5 Å, r.m.s.d. AF2 versus design less than 2 Å, AF2 pAE less than 5).
effect of noise on design quality, and Supplementary Fig. 8 for analysis
of design diversity). The ability of RFdiffusion to scaffold functional
motifs is not related to their presence in the RFdiffusion training set
(Supplementary Fig. 7).
One of the benchmark problems is the scaffolding of the p53 helix
that binds MDM2. Inhibiting this interaction through high-affinity
competitive inhibition by scaffolding the p53 helix and making further
interactions with MDM2 is a promising therapeutic avenue41. In silico
Nature | Vol 620 | 31 August 2023 | 1095
success has been described elsewhere4, but experimental success
has not been reported. We used an RFdiffusion model fine-tuned on
protein complexes (Supplementary Methods) to generate 96 designs
scaffolding this helix. We scaffolded the p53 helix in the presence of
MDM2, so extra interactions could be designed by RFdiffusion and
experimentally identified 0.5 and 0.7 nM binders (Fig. 4c,d), three
orders of magnitude higher affinity than the reported 600 nM affinity
of the p53 peptide alone42. The overall success rate was quite high: out
of the 96 designs, 55 showed some detectable binding at 10 μM (Fig. 4e
and Supplementary Fig. 10h).
Scaffolding enzyme active sites
A grand challenge in protein design is to scaffold minimal descriptions
of enzyme active sites comprising a few single amino acids. Whereas
some in silico success has been reported previously4, a general solu-
tion that can readily produce high-quality, orthogonally validated
outputs remains elusive. Following fine-tuning on a task mimicking
this problem (Supplementary Methods), RFdiffusion was able to scaf-
fold enzyme active sites comprising many sidechain and backbone
functional groups with high accuracy and in silico success rates across
a range of enzyme classes (Fig. 4f and Extended Data Fig. 6a–d; in
silico success required fine tuning). Although RFdiffusion is unable to
explicitly model bound small molecules at present (however, see our
conclusions), the substrate can be implicitly modelled using an exter-
nal potential to guide the generation of ‘pockets’ around the active
site. As a demonstration, we scaffold a retroaldolase active site triad
while implicitly modelling the reaction substrate (Extended Data
Fig. 6e–h).
Symmetric functional-motif scaffolding
Several important design challenges involve the scaffolding of several
copies of a functional motif in symmetric arrangements. For example,
many viral glycoproteins are trimeric and symmetry matched arrange-
ments of inhibitory domains can be extremely potent43–46. Conversely,
symmetric presentation of viral epitopes in an arrangement that mimics
the virus could induce new classes of neutralizing antibodies47,48. To
explore this general direction, we sought to design trimeric multiva-
lent binders to the SARS-CoV-2 spike protein. In previous work, flex-
ible linkage of a binder to the ACE2 binding site (on the spike protein
receptor binding domain) to a trimerization domain yielded a
high-affinity inhibitor that had potent and broadly neutralizing anti-
viral activity in animal models43. Ideally, however, symmetric fusions
to binders would be rigid, so as to reduce the entropic cost of binding
while maintaining the avidity benefits from multivalency. We used
RFdiffusion to design C3-symmetric trimers that rigidly hold three bind-
ing domains (the functional motif in this case) such that they exactly
match the ACE2 binding sites on the SARS-CoV-2 spike protein trimer.
The designs were confidently predicted by AF2 to both assemble as
C3-symmetric oligomers, and to scaffold the AHB2 SARS-CoV-2 binder
interface with high accuracy (Fig. 5a).
The ability to scaffold functional sites with any desired symmetry
opens up new approaches to designing metal-coordinating protein
assemblies49,50. Divalent transition metal ions show distinct prefer-
ences for specific coordination geometries (for example, square planar,
tetrahedral and octahedral) with ion-specific optimal sidechain–metal
bond lengths. RFdiffusion provides a general route to building up sym-
metric protein assemblies around such sites, with the symmetry of
the assembly matching the symmetry of the coordination geometry.
As a first test, we sought to design square-planar Ni2+ binding sites.
We designed C4 protein assemblies with four central histidine imida-
zoles arranged in an ideal Ni2+-binding site with square-planar coor-
dination geometry (Fig. 5b). Diverse designs starting from distinct
C4-symmetric histidine square-planar sites had good in silico success
1096 | Nature | Vol 620 | 31 August 2023
with the histidine residues in near ideal geometries for coordinating
metal in the AF2-predicted structures (Supplementary Fig. 9).
We expressed and purified 44 designs in Escherichia coli, and found
that 37 had SEC chromatograms consistent with the intended oligo-
meric state (Extended Data Fig. 7b). Of the designs, 36 were tested for
Ni2+ coordination by isothermal titration calorimetry, and 18 were found
to bind Ni2+ with dissociation constants ranging from low nanomolar
to low micromolar (Fig. 5c,d and Extended Data Fig. 7a). The inflection
points in the wild-type isotherms indicate binding with the designed
stoichiometry, a one to four ratio of ion to monomer. Although most of
the designed proteins showed exothermic metal coordination, in a few
cases binding was endothermic (Fig. 5d, left and Extended Data Fig. 7a:
NiB2.9, NiB2.10, NiB2.15 and NiB2.23), suggesting that Ni2+ coordination
is entropically driven in these assemblies. To confirm that Ni2+ binding
was indeed mediated by the scaffolded histidine 52, we mutated this
residue to alanine, which abolished or notably reduced binding in 17
out of 17 cases with successful expression (Extended Data Figs. 7a,c
and Fig. 5c,d; one mutant did not express). We structurally charac-
terized by nsEM a subset of the designs—NiB1.12, NiB1.15, NiB1.17 and
NiB1.20—that showed histidine-dependent binding. All four designs
showed clear fourfold symmetry both in the raw micrographs and in
2D class averages (Fig. 5c,d), with design NiB1.17 also clearly showing
twofold axis side views with a measured diameter approximating the
design model. A 3D reconstruction of NiB1.17 was in close agreement
with the design model (Fig. 5c).
Design of protein-binding proteins
The design of high-affinity binders to target proteins is a grand chal-
lenge in protein design, with numerous therapeutic applications51. A
general method for de novo binder design from target structure infor-
mation alone using the physically based Rosetta method was recently
described12, and subsequently, using ProteinMPNN for sequence design
and AF2 for design filtering was found to improve design success rates26.
However, experimental success rates were low, still requiring many
thousands of designs to be screened for each design campaign12, and
the approach relied on prespecifying a particular set of protein scaf-
folds as the basis for the designs, inherently limiting the diversity and
shape complementarity of possible solutions12. To our knowledge, no
deep-learning method has yet demonstrated experimental general
success in designing completely de novo binders.
We reasoned that RFdiffusion might be able to address this chal-
lenge by directly generating binding proteins in the context of the
target. For many therapeutic applications, for example, blocking a
protein–protein interaction, it is desirable to bind to a particular site
on a target protein. To enable this, we fine-tuned RFdiffusion on protein
complex structures, providing a feature as input indicating a subset of
the residues on the target chain (called ‘interface hotspots’) to which
the diffused chain binds (Fig. 6a and Extended Data Fig. 8a,b). For
design challenges in which a particular binder fold might be especially
compatible, we enabled coarse-grained control over binder scaffold
topology by fine-tuning an extra model to condition binder diffusion
on secondary structure and block-adjacency information, in addition
to conditioning on interface hotspots (Extended Data Fig. 8c,d and
Supplementary Methods).
To compare RFdiffusion to previous binder design methods, we
performed binder design campaigns against five targets: Influenza
A H1 Haemagglutinin (HA)52, Interleukin-7 Receptor-α (IL-7Rα)12,
Programmed Death-Ligand 1 (PD-L1)12, Insulin Receptor (InsR) and
Tropomyosin Receptor Kinase A (TrkA)12. We designed putative binders
to each target, both with and without conditioning on compatible fold
information, with high in silico success rates (Extended Data Fig. 8e,f).
Designs were filtered by AF2 confidence in the interface and mono-
mer structure26, and 95 were selected for each target for experimental
characterization.
ArticleC3 axis
C3 motif +
noise
a
Spike
trimer
b
C4 motif
C4 motif +
noise
c
s
e
g
a
r
e
v
a
l
s
s
a
c
D
2
–1
–3
–5
–7
–9
)
1
–
l
o
m
l
a
c
k
(
H
Δ
3D reconstruction
WT
H52A
KD < 20 nM
0
0.1
0.2
0.3
Molar ratio
0.4
0.5
d
)
1
–
l
o
m
l
a
c
k
(
H
Δ
3
1
–1
WT
H52A
KD < 20 nM
)
1
–
l
o
m
l
a
c
k
(
H
Δ
–2
–4
–6
–8
–10
WT
H52A
KD < 20 nM
)
1
–
l
o
m
l
a
c
k
(
H
Δ
0
–2
–4
WT
H52A
KD ≈ 77 nM
0
0.1
0.2
0.3
Molar ratio
0.4
0.5
0
0.1
0.2
0.3
Molar ratio
0.4
0.5
0
0.1
0.2
0.3
Molar ratio
0.4
0.5
Fig. 5 | Symmetric motif scaffolding with RFdiffusion. a, Design of
symmetric oligomers scaffolding the binding interface of ACE2 mimic AHB2
(left, teal) against the SARS-CoV-2 spike trimer (left, grey). Three AHB2 copies
are input to RFdiffusion along with C3 noise (middle); output are C3-symmetric
oligomers holding the three AHB2 copies in place to engage all spike subunits.
AF2 predictions (right) recapitulate the AHB2 structure with 0.6 Å r.m.s.d. over
the assymetric unit and 2.9 Å r.m.s.d. over the C3 assembly. b, Design of C4-
symmetric oligomers to scaffold a Ni2+ binding motif (left). Starting from
square-planar histidine rotamers within helical fragments (Supplementary
Methods), RFdiffusion generates a C4 oligomer scaffolding the binding domain
(middle). AF2 predictions (colour) agree closely with the design model (grey),
with backbone r.m.s.d. less than 1.0 Å (right). c, nsEM 2D class averages (scale
bar, 60 Å) and 3D reconstruction density are consistent with the symmetry and
structure of the NiB1.17 design model shown superimposed on the density in
ribbon representation (top). Isothermal titration calorimetry binding isotherm
of design NiB1.17 (blue) indicates a dissociation constant less than 20 nM at a
metal:monomer stoichiometry of 1:4. The H52A mutant isotherm (pink) ablates
binding, indicating scaffolded histidine residues are critical for metal binding.
d, Additional experimentally characterized Ni2+ binders NiB2.15 (left), NiB1.12
(middle) and NiB1.20 (right). Metal-coordinating sidechains in the design
models (top, teal) are closely recapitulated in the AF2 predictions (colours).
2D nsEM class averages (middle; scale bar, 60 Å) are consistent with design
models. Binding isotherms for wild-type (WT) and H52A mutant (bottom)
indicate Ni2+ binding mediated directly by the scaffolded histidines at the
designed stoichiometry. Note that for ITC plots, points represent single
measurements.
The designed binders were expressed in E. coli and purified, and
binding was assessed through single point biolayer interferometry
(BLI) screening at 10 μM binder concentration (Extended Data Fig. 8g).
The overall experimental success rate, defined as binding at or above
50% of the maximal response for the positive control, was 19% (this
is a conservative estimate as some designs that showed binding had
insufficient material to permit screening at 10 μM: Extended Data
Fig. 8g); an increase of roughly two orders of magnitude over our
previous Rosetta-based method on the same targets (Fig. 6b). Bind-
ers were identified for all five targets, with fewer than 100 designs
tested per target compared to thousands in previous studies. Full
BLI titrations for a subset of the designs showed nanomolar affini-
ties with no further experimental optimization, including HA and
IL-7Rα binders with affinities of roughly 30 nM (Fig. 6c). Binding
Nature | Vol 620 | 31 August 2023 | 1097
a
b
)
%
(
I
L
B
y
b
e
t
a
r
s
s
e
c
c
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l
a
t
n
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m
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e
p
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E
d
40
35
30
25
20
15
10
5
0
)
m
n
(
s
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u
e
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o
p
s
e
R
0.5
0.4
0.3
0.2
0.1
0
Interface
hotspots
c
IL-7Ra
InsR
PD-L1
TrkA
)
%
(
D
S
Y
y
b
e
t
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35
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25
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0
)
m
n
(
s
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n
u
e
s
n
o
p
s
e
R
0.12
0.10
0.08
0.06
0.04
0.02
0
RFdiffusion plus AF2 filtering
has orders-of-magnitude
higher experimental success
rates than previous methods
Rosetta pipeline →
RFdiffusion plus AF2 filtering ←
%
4
1
.
0
%
3
4
.
0
%
7
0
.
0
HA IL-7Ra INSR PD-L1 TrkA
Influenza HA
e
KD = 28 nM
f
KD = 28 nM
KD1 = 80 nM
KD2 = 27 nM
KD = 30 nM
0.08
0.06
0.04
0.02
0
)
m
n
(
s
t
i
n
u
e
s
n
o
p
s
e
R
0
100
Time (s)
200
0
200
400
600
Time (s)
5,000 1,000 200 40
[Binder] (nM)
1,000 333 111 37 12
[Binder] (nM)
0.30
0.25
0.20
0.15
0.10
0.05
)
m
n
(
s
t
i
n
u
e
s
n
o
p
s
e
R
0
0
g
0.4
0.3
0.2
0.1
)
m
n
(
s
t
i
n
u
e
s
n
o
p
s
e
R
0
0
KD = 1.4 μM
100
Time (s)
200
10,000 2,000 400 80
[Binder] (nM)
KD = 328 nM
100
Time (s)
200
10,000 2,000 400 80
[Binder] (nM)
r.m.s.d. = 0.63 Å
h
r.m.s.d. = 0.60 Å
90º
90º
0
100
200
300
Time (s)
[Binder (nM) 5,000 1,000 200 40 8
Fig. 6 | De novo design of protein-binding proteins. a, RFdiffusion generates
protein binders given a target and specification of interface hotspot residues.
b, De novo binders were designed to five protein targets; Influenza A H1 HA,
IL-7Rα, InsR, PD-L1 and TrkA and hits with BLI response greater than or equal to
50% of the positive control were identified for all targets. For IL-7Rα, InsR, PD-L1
and TrkA, RFdiffusion has success rates roughly two orders of magnitude
higher than the original design campaigns. We attribute one order of magnitude
to RFdiffusion, and the second to filtering with AF2 (estimated success rates for
previous campaigns if AF2 filtering had been used: HA, 0%; IL-7Rα, 2.2%; InsR,
5.5%; PD-L1, 3.7%; TrkA, 1.5%). c, For IL-7Rα, InsR, PD-L1 and TrkA, the highest
affinity binder is shown above a BLI titration series. Reported KD values are
based on global kinetic fitting with fixed global Rmax. d, The highest affinity HA
binder, HA_20, binds with a KD of 28 nM. c,d, Yellow or orange, target or hotspot
residues; grey, design model; purple, AF2 prediction (r.m.s.d. AF2 versus
design). Binders: IL7Ra_55 (2.1 Å), InsulinR_30 (2.6 Å), PDL1_77 (1.5 Å), TrkA_88
(1.4 Å) (left to right in c) and HA_20 (1.7 Å) (d). e, Cryo-EM 2D class averages of
HA_20 bound to influenza HA, strain A/USA:Iowa/1943 H1N1 (scale bar, 10 nm).
f, 2.9 Å cryo-EM 3D reconstruction of the complex viewed along two orthogonal
axes. HA_20 (purple) is bound to H1 along the stem of all three subunits. g, The
cryo-EM structure of the HA_20 binder in complex closely matches the design
model (r.m.s.d. to RFdiffusion design, 0.63 Å; yellow, influenza HA). h, Structure
of the HA_20 binder alone superimposed on the design model viewed along
two orthogonal axes. For cryo-EM panels, yellow, Influenza H1 map and/or
structure; grey, HA_20 binder design model; purple, HA_20 binder map or
structure.
interfaces were often highly distinct from interfaces to these tar-
gets in the PDB (Supplementary Figs. 11 and 12). To assess binder
specificity, six of the highest affinity IL-7Rα binders were assessed
by means of competition BLI, and all six competed for binding with
a structurally validated positive control binding to the same site
(Supplementary Fig. 10a; further work is required to fully characterize
proteome-wide specificity).
We solved the structure of the highest affinity Influenza binder,
HA_20, in complex with Iowa43 HA using cryo-EM (Extended
Data Table 1). Raw electron micrographs revealed a well-folded HA
1098 | Nature | Vol 620 | 31 August 2023
Article
glycoprotein with clearly discernible side, top and tilted view orienta-
tions suspended in a thin layer of vitreous ice (Extended Data Fig. 9a).
The 2D class averages further show clear secondary structure elements
corresponding to both Iowa43 HA (Extended Data Fig. 9b), as well as
the HA_20 binder bound to the stem (Fig 6e). The 3D heterogenous
refinement without symmetry revealed full occupancy of all three HA
stem epitopes by the HA_20 binder. A final non-uniform 3D refinement
reconstruction with C3 symmetry yielded a 2.9 Å map of the HA/HA_20
protein–protein complex (Fig 6f) and corresponding 3D structure that
almost perfectly matches the computational design model (0.63 Å,
Fig 6f,g; the sidechain interactions at the interface are very different
from the closest structure in the PDB; Extended Data Fig. 9h). Over the
binder alone, the experimental structure deviates from the RFdiffusion
design by only 0.6 Å (Fig. 6h). These results demonstrate the ability of
RFdiffusion to generate new proteins with atomic level accuracy, and to
precisely target functionally relevant sites on therapeutically important
proteins.
Discussion
RFdiffusion is a comprehensive improvement over current protein
design methods. RFdiffusion readily generates diverse uncondi-
tional designs up to 600 residues in length that are accurately pre-
dicted by AF2, far exceeding the complexity and accuracy achieved
by most previous methods (a recent Hallucination-based approach
also achieved high unconditional performance53). Half of our tested
unconditional designs express in a soluble way, and have circular
dichroism spectra consistent with the design models and high ther-
mostability. Despite their substantially increased complexity, the
ideality and stability of RFdiffusion designs is akin to that of de novo
protein designs generated using previous methods such as Rosetta.
RFdiffusion enables generation of higher-order architectures with any
desired symmetry, unlike Hallucination methods, which have so far
been limited to cyclic symmetries. Electron microscopy confirmed that
the structures of these oligomers are very similar to the design mod-
els, which in many cases show little global similarity to known protein
oligomers.
There has been recent progress in scaffolding protein functional
motifs using deep-learning methods (RF Hallucination, RFjoint Inpainting
and diffusion), but Hallucination is slow for large systems, Inpainting
fails when insufficient starting information is provided and previous
diffusion methods had low accuracy. RFdiffusion outperforms these
previous methods in the complexity of the motifs that can be scaf-
folded, the precision with which sidechains are positioned (for cataly-
sis and other functions), and the accuracy of motif recapitulation by
AF2. The design of MDM2 binding proteins with three orders of magni-
tude higher affinities than the scaffolded P53 motif demonstrates the
robustness of RFdiffusion motif scaffolding. Combining accurate motif
scaffolding with the design of symmetric assemblies enabled consist-
ent and atomically precise positioning of sidechains to coordinate Ni2+
ions across diverse tetrameric assemblies
For binder design from target structural information alone, previous
work required testing tens of thousands of sequences12. RFdiffusion,
when combined with improved filtering26 raises experimental success
rates by two orders of magnitude; high-affinity binders can be identi-
fied from dozens of designs, in many cases eliminating the require-
ment for slow and expensive high-throughput screening (at least for
the non-polar sites targeted here; further studies will be required
to assess success rates on more polar target sites and sites without
native binding partners). A high-resolution cryo-EM structure of one
of these designs in complex with influenza HA shows that RFdiffusion
can design functional proteins with atomic accuracy. Vázquez Torres
et al. demonstrate the ability of RFdiffusion to design picomolar affin-
ity binders to flexible helical peptides54, further highlighting its use for
de novo binder design. Vázquez Torres et al. also show how RFdiffusion
can be extended for protein model refinement by partial noising and
denoising, which enables tuneable sampling around a given input
structure. For peptide binder design, this enabled increases in affin-
ity of nearly three orders of magnitude without high-throughput
screening.
The breadth and complexity of problems solvable with RFdiffusion
and the robustness and accuracy of the solutions far exceeds what has
been achieved previously. In a manner reminiscent of the generation
of images from text prompts, RFdiffusion makes possible, with mini-
mal specialist knowledge, the generation of functional proteins from
minimal molecular specifications (for example, high-affinity binders
to a user-specified target protein, and diverse protein assemblies from
user-specified symmetries).
The power and scope of RFdiffusion can be extended in several
directions. RF has recently been extended to nucleic acids and
protein–nucleic acid complexes55, which should enable RFdiffusion to
design nucleic acid binding proteins and perhaps folded RNA struc-
tures. Extension of RF to incorporate ligands should similarly enable
extension of RFdiffusion to explicitly model ligand atoms, and allow the
design of protein–ligand interactions. The ability to customize RFdif-
fusion to specific design challenges by addition of external potentials
and by fine-tuning (as illustrated here for catalytic site scaffolding,
binder-targeting and fold specification), along with continued improve-
ments to the underlying methodology, should enable de novo protein
design to achieve still higher levels of complexity, to approach and, in
some cases, surpass what natural evolution has achieved.
Online content
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ries, source data, extended data, supplementary information, acknowl-
edgements, peer review information; details of author contributions
and competing interests; and statements of data and code availability
are available at https://doi.org/10.1038/s41586-023-06415-8.
1.
2.
Dauparas, J. et al. Robust deep learning-based protein sequence design using
ProteinMPNN. Science 378, 49–56 (2022).
Ferruz, N., Schmidt, S. & Höcker, B. ProtGPT2 is a deep unsupervised language model for
protein design. Nat. Commun. 13, 4348 (2022).
3. Singer, J. M. et al. Large-scale design and refinement of stable proteins using
sequence-only models. PLoS ONE 17, e0265020 (2022).
4. Wang, J. et al. Scaffolding protein functional sites using deep learning. Science 377,
5.
387–394 (2022).
Trippe, B. L. et al. Diffusion probabilistic modeling of protein backbones in 3D for the
motif-scaffolding problem. in The Eleventh International Conference on Learning
Representations (2023).
6. Anishchenko, I. et al. De novo protein design by deep network hallucination. Nature 600,
547–552 (2021).
7. Wicky, B. I. M. et al. Hallucinating symmetric protein assemblies. Science 378, 56–61
(2022).
8. Anand, N. & Achim, T. Protein structure and sequence generation with equivariant
9.
denoising diffusion probabilistic models. Preprint at https://doi.org/10.48550/arXiv.2205.
15019 (2022).
Luo, S. et al. Antigen-specific antibody design and optimization with diffusion-based
generative models. in Adv. Neural Information Processing Systems Vol. 35 (eds Koyejo,
S. et al.) 9754–9767 (Curran Associates, 2022).
10. Sohl-Dickstein, J., Weiss, E. A., Maheswaranathan, N. & Ganguli, S. Deep unsupervised
learning using nonequilibrium thermodynamics. in Proc. 32nd International Conference
on Machine Learning Vol. 37 (eds Bach, Francis and Blei, David) 2256–2265 (PMLR, 2015).
11. Ho, J., Jain, A. & Abbeel, P. Denoising diffusion probabilistic models. in Adv. Neural
Information Processing Systems Vol. 33 (eds Larochelle, H. et al.) 6840–6851 (Curran
Associates, 2020).
12. Cao, L. et al. Design of protein-binding proteins from the target structure alone. Nature
605, 551–560 (2022).
13. Kuhlman, B. et al. Design of a novel globular protein fold with atomic-level accuracy.
Science 302, 1364–1368 (2003).
14. Ramesh, A. et al. Zero-shot text-to-image generation. in Proc. 38th International
Conference on Machine Learning Vol. 139 (eds Meila, M. & Zhang, T.) 8821–8831 (PMLR,
2021).
15. Saharia, C. et al. Photorealistic text-to-image diffusion models with deep language
understanding. in Adv. Neural Information Processing Systems Vol. 35 (eds Koyejo, S. et al.)
36479–36494 (Curran Associates, 2022).
16. Wu, K. E. et al. Protein structure generation via folding diffusion. Preprint at https://doi.
17.
org/10.48550/arXiv.2209.15611 (2022).
Jumper, J. et al. Highly accurate protein structure prediction with AlphaFold. Nature 596,
583–589 (2021).
Nature | Vol 620 | 31 August 2023 | 1099
18. Baek, M. et al. Accurate prediction of protein structures and interactions using a three-track
41. Chène, P. Inhibiting the p53-MDM2 interaction: an important target for cancer therapy.
neural network. Science 373, 871–876 (2021).
Nat. Rev. Cancer 3, 102–109 (2003).
19. Watson, J. L., Bera, A., Juergens, D., Wang, J. & Baker, D. X-ray crystallographic validation
42. Kussie, P. H. et al. Structure of the MDM2 oncoprotein bound to the p53 tumor suppressor
of design from this paper. Science 377, 387–394 (2022).
transactivation domain. Science 274, 948–953 (1996).
20. Wu, R. et al. High-resolution de novo structure prediction from primary sequence.
43. Hunt, A. C. et al. Multivalent designed proteins neutralize SARS-CoV-2 variants of
Preprint at https://doi.org/10.1101/2022.07.21.500999 (2022).
21. Lin, Z. et al. Language models of protein sequences at the scale of evolution enable
concern and confer protection against infection in mice. Sci. Transl. Med. 14, eabn1252
(2022).
accurate structure prediction. Science 379, 1123–1130 (2023).
44. Silverman, J. et al. Multivalent avimer proteins evolved by exon shuffling of a family of
22. Berman, H. M. et al. The Protein Data Bank. Nucleic Acids Res. 28, 235–242 (2000).
23. De Bortoli, V. et al. Riemannian score-based generative modelling. in Adv. Neural
Information Processing Systems Vol. 35 (eds Koyejo, S. et al.) 2406–2422 (Curran
Associates, 2022).
24. Leach, A., Schmon, S. M., Degiacomi, M. T. & Willcocks, C. G. Denoising diffusion
probabilistic models on SO(3) for rotational alignment. In Proc. ICLR 2022 Workshop on
Geometrical and Topological Representation Learning (2022).
25. Chen, T., Zhang, R. & Hinton, G. Analog bits: generating discrete data using diffusion
models with self-conditioning. in The Eleventh International Conference on Learning
Representations (2023).
26. Bennett, N.R. et al. Improving de novo protein binder design with deep learning. Nat.
Commun. 14, 2625 (2023).
27. Anand, N. & Huang, P. Generative modeling for protein structures. in Adv. Neural
Information Processing Systems Vol. 31 (eds Bengio, S. et al.) (Curran Associates,
2018).
Ingraham, J. et al. Illuminating protein space with a programmable generative model.
Preprint at bioRxiv https://doi.org/10.1101/2022.12.01.518682 (2022).
28.
human receptor domains. Nat. Biotechnol. 23, 1556–1561 (2005).
45. Detalle, L. et al. Generation and characterization of ALX-0171, a potent novel therapeutic
nanobody for the treatment of respiratory syncytial virus infection. Antimicrob. Agents
Chemother. 60, 6–13 (2016).
46. Strauch, E.-M. et al. Computational design of trimeric influenza-neutralizing proteins
targeting the hemagglutinin receptor binding site. Nat. Biotechnol. 35, 667–671
(2017).
47. Boyoglu-Barnum, S. et al. Quadrivalent influenza nanoparticle vaccines induce broad
protection. Nature 592, 623–628 (2021).
48. Walls, A. C. et al. Elicitation of potent neutralizing antibody responses by designed
protein nanoparticle vaccines for SARS-CoV-2. Cell 183, 1367–1382.e17 (2020).
49. Salgado, E. N., Lewis, R. A., Mossin, S., Rheingold, A. L. & Tezcan, F. A. Control of protein
oligomerization symmetry by metal coordination: C2 and C3 symmetrical assemblies
through CuII and NiII coordination. Inorg. Chem. 48, 2726–2728 (2009).
50. Salgado, E. N. et al. Metal templated design of protein interfaces. Proc. Natl Acad. Sci.
USA 107, 1827–1832 (2010).
51. Quijano-Rubio, A., Ulge, U. Y., Walkey, C. D. & Silva, D.-A. The advent of de novo proteins
29. Lee, J. S. & Kim, P. M. ProteinSGM: Score-based generative modeling for de novo protein
for cancer immunotherapy. Curr. Opin. Chem. Biol. 56, 119–128 (2020).
design. Preprint at bioRxiv https://doi.org/10.1101/2022.07.13.499967 (2022).
52. Chevalier, A. et al. Massively parallel de novo protein design for targeted therapeutics.
30. Onuchic, J. N., Luthey-Schulten, Z. & Wolynes, P. G. Theory of protein folding: the energy
Nature 550, 74–79 (2017).
31.
landscape perspective. Annu. Rev. Phys. Chem. 48, 545–600 (1997).
Jendrusch, M., Korbel, J. O. & Sadiq, S. K. AlphaDesign: a de novo protein design
framework based on AlphaFold. Preprint at bioRxiv https://doi.org/10.1101/2021.10.11.
463937 (2021).
32. Basanta, B. et al. An enumerative algorithm for de novo design of proteins with diverse
pocket structures. Proc. Natl Acad. Sci. USA 117, 22135–22145 (2020).
33. Pan, X. et al. Expanding the space of protein geometries by computational design of
53. Frank, C. et al. Efficient and scalable de novo protein design using a relaxed sequence
space. Preprint at bioRxiv https://doi.org/10.1101/2023.02.24.529906 (2023).
54. Torres, S. V. et al. De novo design of high-affinity protein binders to bioactive helical
peptides. Preprint at bioRxiv https://doi.org/10.1101/2022.12.10.519862 (2022).
55. Baek, M., McHugh, R., Anishchenko, I., Baker, D. & DiMaio, F. Accurate prediction of
nucleic acid and protein-nucleic acid complexes using RoseTTAFoldNA. Preprint at
bioRxiv https://doi.org/10.1101/2022.09.09.507333 (2022).
de novo fold families. Science 369, 1132–1136 (2020).
34. Marcandalli, J. et al. Induction of potent neutralizing antibody responses by a designed
protein nanoparticle vaccine for respiratory syncytial virus. Cell 176, 1420–1431.e17
(2019).
35. Butterfield, G. L. et al. Evolution of a designed protein assembly encapsulating its own
RNA genome. Nature 552, 415–420 (2017).
36. Goodsell, D. S. & Olson, A. J. Structural symmetry and protein function. Annu. Rev.
Biophys. Biomol. Struct. 29, 105–153 (2000).
37. Sterner, R. & Höcker, B. Catalytic versatility, stability, and evolution of the (βα)8-barrel
enzyme fold. Chem. Rev. 105, 4038–4055 (2005).
38. Sesterhenn, F. et al. De novo protein design enables the precise induction of
RSV-neutralizing antibodies. Science 368, eaay5051 (2020).
39. Yang, C. et al. Bottom-up de novo design of functional proteins with complex structural
features. Nat. Chem. Biol. 17, 492–500 (2021).
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40. Glasgow, A. et al. Engineered ACE2 receptor traps potently neutralize SARS-CoV-2. Proc.
Natl Acad. Sci. USA 117, 28046–28055 (2020).
© The Author(s) 2023
1100 | Nature | Vol 620 | 31 August 2023
ArticleReporting summary
Further information on research design is available in the Nature
Portfolio Reporting Summary linked to this article.
Data availability
Design structures, AF2 models and experimental measurements are
available at https://figshare.com/s/439fdd59488215753bc3. Cryo-EM
maps and corresponding atomic models for the Influenza HA binder in
Fig. 6d–h have been deposited in the PDB and the Electron Microscopy
Data Bank under accession codes 8SK7 and EMDB-40557, respectively.
Electron microscopy data collected for the HE0537 oligomer are avail-
able at EMDB-40602.
Code availability
Code for running RFdiffusion has been released on GitHub, free for
academic, personal and commercial use at https://github.com/Rosetta-
Commons/RFdiffusion. It is also available as a Google Colab notebook,
accessible through GitHub.
56. Yeh, A. H.-W. et al. De novo design of luciferases using deep learning. Nature 614,
774–780 (2023).
57. Ribeiro, A. J. M. et al. Mechanism and Catalytic Site Atlas (M-CSA): a database of enzyme
reaction mechanisms and active sites. Nucleic Acids Res. 46, D618–D623 (2018).
58. Leaver-Fay, A. et al. ROSETTA3: an object-oriented software suite for the simulation and
design of macromolecules. Methods Enzymol. 487, 545–574 (2011).
Design (B.L.T., I.S., J.Y., H.E. and D.B.), the Washington State General Operating Fund supporting
the Institute for Protein Design (P.V. and I.S.), grant no. INV-010680 from the Bill and Melinda
Gates Foundation (W.B.A., D.J., J.W. and D.B.), grant no. DE-SC0018940 MOD03 from the US
Department of Energy Office of Science (A.J.B. and D.B.), grant no. 5U19AG065156-02 from the
National Institute for Aging (S.V.T. and D.B.), an EMBO long-term fellowship no. ALTF 139-2018
(B.I.M.W.), the Open Philanthropy Project Improving Protein Design Fund (R.J.R. and D.B.),
The Donald and Jo Anne Petersen Endowment for Accelerating Advancements in Alzheimer’s
Disease Research (N.R.B.), a Washington Research Foundation Fellowship (S.J.P.), a Human
Frontier Science Program Cross Disciplinary Fellowship (grant no. LT000395/2020-C, L.F.M.),
an EMBO Non-Stipendiary Fellowship (grant no. ALTF 1047-2019, L.F.M.), the Defense Threat
Reduction Agency grant nos. HDTRA1-19-1-0003 (N.H. and D.B.) and HDTRA12210012 (F.D.),
the Institute for Protein Design Breakthrough Fund (A.C. and D.B.), an EMBO Postdoctoral
Fellowship (grant no. ALTF 292-2022, J.L.W.) and the Howard Hughes Medical Institute (A.C.,
W.S., R.J.R. and D.B.), an NSF-GRFP (J.Y.), an NSF Expeditions grant (no. 1918839, J.Y., R.B. and
T.S.J.), the Machine Learning for Pharmaceutical Discovery and Synthesis consortium (J.Y., R.B.
and T.S.J.), the Abdul Latif Jameel Clinic for Machine Learning in Health (J.Y., R.B. and T.S.J.), the
DTRA Discovery of Medical Countermeasures Against New and Emerging threats program
(J.Y., R.B. and T.S.J.), EPSRC Prosperity Partnership grant no. EP/T005386/1 (E.M.) and the
DARPA Accelerated Molecular Discovery program and the Sanofi Computational Antibody
Design grant (J.Y., R.B. and T.S.J.). We thank Microsoft and AWS for generous gifts of cloud
computing resources.
Author contributions J.L.W., D.J., N.R.B., B.L.T., J.Y. and D.B. conceived the study. J.L.W., D.J.,
N.R.B., W.A., B.L.T. and J.Y. trained RFdiffusion. B.L.T. and J.Y., with assistance from V.D.B. and
E.M., extended diffusion to residue orientations. H.E.E., D.J., J.L.W., N.R.B., N.H., W.S., P.V. and
I.S. generated experimentally characterized designs. W.A., B.L.T., J.Y., D.J., J.L.W. and N.R.B.
generated computational designs. H.E.E., A.J.B., R.J.R., L.F.M., B.I.M.W., S.J.P., N.H., A.C., S.V.T.,
J.L.W. and B.L.T. experimentally characterized designs. J.W., A.L. and W.S. contributed
additional code. S.O. implemented RFdiffusion on Google Colab. M.B. and F.D. trained RF. D.B.,
T.S.J. and R.B. offered supervision throughout the project. J.L.W., D.J., B.L.T., N.R.B., J.Y., H.E. and
D.B. wrote the manuscript. All authors read and contributed to the manuscript. J.L.W. and D.J.
agree that the order of their respective names may be changed for personal pursuits to best
suit their own interests.
Competing interests The authors declare no competing interests.
Acknowledgements We thank N. Anand and D. Tischer for helpful discussions, and I. Kalvet
and Y. Kipnis for providing helpful Rosetta scripts. We thank A. Dosey for the provision of
purified influenza HA protein. We thank R. Wu, J. Mou, K. Choi, L. Wu and D. Blei for valuable
feedback during writing. We thank I. Haydon for help with graphics. We also thank L.
Goldschmidt and K. VanWormer, respectively, for maintaining the computational and wet
laboratory resources at the Institute for Protein Design. This work was supported by gifts from
Microsoft (D.J., M.B. and D.B.), Amgen (J.L.W.), the Audacious Project at the Institute for Protein
Additional information
Supplementary information The online version contains supplementary material available at
https://doi.org/10.1038/s41586-023-06415-8.
Correspondence and requests for materials should be addressed to David Baker.
Peer review information Nature thanks Arne Elofsson, Giulia Palermo, Alex Pritzel and the
other, anonymous, reviewer(s) for their contribution to the peer review of this work.
Reprints and permissions information is available at http://www.nature.com/reprints.
Extended Data Fig. 1 | See next page for caption.
ArticleExtended Data Fig. 1 | Training ablations reveal determinants of RFdiffusion
success. A–C) RFdiffusion can generate high quality large unconditional
monomers. Designs are routinely accurately recapitulated by AF2 (see also
Fig. 2c), with high confidence (A) for proteins up to approximately 400 amino
acids in length. B) Further orthogonal validation of designs by ESMFold.
C) Recapitulation of the design structure is often better with ESMFold
compared with AF2. For each backbone, the best of 8 ProteinMPNN sequences
is plotted, with points therefore paired by backbone rather than sequence.
D) Comparing RFdiffusion trained with MSE loss on Cα atoms and N-Cα-C
backbone frames (Methods 2.5), rather than with FAPE loss8,17. The MSE loss is
not invariant to the global coordinate frame, unlike FAPE loss, and is required
for good performance at unconditional generation (left, two-proportion z-test
of in silico success rate, n = 400 designs per condition, z = 4.1, p = 4.1e-5). For
motif scaffolding problems, where the ‘motif’ provides a means to align the
global coordinate frame between timesteps, FAPE loss performs approximately
as well as MSE loss, suggesting the L2 nature of MSE loss (as opposed to the L1
loss in FAPE) is not empirically critical for performance. E) Allowing the model
to condition on its X0 prediction at the previous timestep (see Supplementary
Methods 2.4) improves designs. Designs with self-conditioning (pink) have
improved recapitulation by AF2 (left) and better AF2 confidence in the
prediction (right). Two-proportion z-test of in silico success rate, n = 800
designs per condition z = 11.4, p = 6.1e-30. F) RFdiffusion leverages the
representations learned during RF pre-training. RFdiffusion fine-tuned from
pre-trained RF (pink) comprehensively outperforms a model trained for an
equivalent amount of time, from untrained weights (gray). For context,
sequences generated by ProteinMPNN on these output backbones are little
better than sampling ProteinMPNN sequences from random Gaussian-sampled
coordinates (white). Two-proportion z-test of in silico success rate, pre-training
vs without pre-training (or vs random noise; both have zero success rate),
n = 800 designs per condition, z = 23.0, p = 3.1e-117. Note that the data in pink in
D–F is the same data, reproduced in each plot for clarity. G) The median (by AF2
r.m.s.d. vs design) 300 amino acid unconditional sample highlighting the
importance of self-conditioning and pre-training. Without pre-training
(at least when trained with equivalent compute), RFdiffusion outputs bear little
resemblance to proteins (gray, left). Without self-conditioning, outputs show
characteristic protein secondary structures, but lack core-packing and ideality
(gray, middle). With pre-training and self-conditioning, proteins are diverse and
well-packed (pink, right). H) Greater coherence during unconditional denoising
may partly explain the effect of self-conditioning. Successive X0 predictions are
more similar when the model can self-condition (lower r.m.s.d. between X0
predictions, pink curve). Data are aggregated from unconditional design
trajectories of 100, 200 and 300 residues. I) During the reverse (generation)
process, the noise added at each step can be scaled (reduced). Reducing the
noise scale improves the in silico design success rates (left, middle; two-
proportion z-test of in silico success rate, n = 800 designs per condition,
0 vs 0.5: z = 1.7, p = 0.09, 0 vs 1: z = 6.5, p = 6.8e-11; 0.5 vs 1: z = 4.8, p = 1.4e-6).
This comes at the expense of diversity, with the number of unique clusters at a
TM-score cutoff of 0.6 reduced when noise is reduced (right). Note throughout
this figure the 6EXZ_long benchmarking problem is abbreviated to 6EXZ for
brevity. Boxplots represent median±IQR; tails: min/max excluding outliers
(±1.5xIQR).
Extended Data Fig. 2 | RFdiffusion learns the distribution of the denoising
process, and inference efficiency can be improved. A) Analysis of simulated
forward (noising) and reverse (denoising) trajectories shows that the
distribution of Cα coordinates and residue orientations closely match,
demonstrating that RFdiffusion has learned the distribution of the denoising
process as desired. Left to right: i) average distance between a Cα coordinate at
Xt and its position in X0; ii) average distance between a Cα coordinate at Xt and
Xt-1; iii) average distance between adjacent Cα coordinates at Xt; iv) average
rotation distance between a residue orientation at Xt and X0; v) average rotation
distance between a residue orientation at Xt and Xt-1. B-C) While RFdiffusion is
trained to generate samples over 200 timesteps, in many cases, trajectories
can be shortened to improve computational efficiency. B) Larger steps can be
taken between timesteps at inference. Decreasing the number of timesteps
speeds up inference, and often does not decrease in silico success rates (left)
(for example, on an NVIDIA A4000 GPU, 100 amino acid designs can be
generated with 15 steps, in ~11s, with an in silico success rate of over 60%). When
normalized for compute budget (center) it is often much more efficient to run
more trajectories with fewer timesteps. This can be done without loss of
diversity in samples (right). For harder problems (e.g. unconditional 300 amino
acids), one must strike an intermediate number of total timesteps (e.g., T = 50)
for optimal compute efficiency. Note that for all other analyses in the paper,
200 inference steps were used, in line with how RFdiffusion is trained. C) An
alternative to taking larger steps is to stop trajectories early (possible because
RFdiffusion predicts X0 at every timestep). In many cases, trajectories can be
stopped at timestep 50–75 with little effect on the final in silico success rate of
designs (left), and when normalized by compute budget (center), success rates
per unit time are typically higher generating more designs with early-stopping.
Again, this can be done without a significant loss in diversity (right).
ArticleExtended Data Fig. 3 | Unconditionally-generated designs are folded and
thermostable. A) Four 200 amino acid and fourteen 300 amino acid proteins
were tested for expression and stability. 9/18 designs expressed, with a major
peak at the expected elution volume. Blue: 300 amino acid proteins; Purple:
200 amino acid proteins. B) Colored AF2 predictions overlaid on gray design
models (left), circular dichroism spectra at 25 °C (blue) and 95 °C (pink) (middle)
and circular dichroism melt curves (right) for all 9 designs passing expression
thresholds. In all cases, proteins remain well folded even at 95 °C. Note that
data on 300aa_3 and 300aa_8 are duplicated from Fig. 2f, reproduced here
for clarity.
Extended Data Fig. 4 | See next page for caption.
ArticleExtended Data Fig. 4 | RFdiffusion can condition on fold information to
generate specific, thermostable folds. A) 6WVS is a previously-described
de novo designed TIM barrel (left). A fine-tuned RFdiffusion model can condition
on 1D and 2D inputs representing this protein fold, specifically secondary
structure (middle, bottom) and block-adjacency information (middle, top)
(see Supplementary Methods 4.3.2). RFdiffusion then generates proteins that
closely recapitulate this course-grained fold information (right). B) Outputs
are diverse with respect to each other. With this coarse-grained fold
specification, in silico successful designs are much more diverse (as quantified
by pairwise TM-scores) compared to diversity generated through simply
sampling many sequences for the original PDB backbone (6WVS). C) NTF2
folds are useful scaffolds for de novo enzyme design56, and can also be readily
generated with fold-conditioning in RFdiffusion. Designs are diverse and
closely recapitulated by AF2. D) In silico success rates are high with fold-
conditioned diffusion. TIM barrels are generated with an AF2 in silico success
rate of 42.5% (left bar, pink) with in silico success incorporating both AF2
metrics and a TM-score vs 6WVS > 0.5. NTF2 folds are generated with an AF2 in
silico success rate of 54.1% (right bar, pink), with in silico success incorporating
both AF2 metrics and a TM-score vs PDB: 1GY6 > 0.5. In silico success was
further validated with ESMFold (blue bars), where a pLDDT > 80 was used
as the confidence metric for success. Gray: RFdiffusion design, colors: AF2
prediction. E) 11 TIM barrel designs were purified alongside the 6WVS positive
control. Ten of these express and elute predominantly as monomers (note that
the designs are approximately 4kDa larger than 6WVS). F) Eight designs
expressed sufficiently for analysis by circular dichroism. All designs are folded,
with circular dichroism spectra consistent with the designed structure
(middle), and similar to 6WVS. Designs were also all highly thermostable,
with CD melt analyses demonstrating designs were folded even at 95 °C (right).
Designs are shown in gray, with the AF2 predictions overlaid in colors (left).
Note that data on 6WVS and TIM_barrel_6 are duplicated from Fig. 2g,
reproduced here for clarity.
Extended Data Fig. 5 | See next page for caption.
ArticleExtended Data Fig. 5 | Symmetric oligomer design with RFdiffusion. A) Due
to the (near-perfect - see Supplementary Methods 3.1) equivariance properties
of RFdiffusion, X0 predictions from symmetric inputs are also symmetric, even
at very early timepoints (and becoming increasingly symmetric through time;
r.m.s.d. vs symmetrized: t = 200 1.20 Å; t = 150 0.40 Å; t = 50 0.06 Å; t = 0 0.02Å).
Gray: symmetrized (top left) subunit; colors: RFdiffusion X0 prediction.
B) In silico success rates for symmetric oligomer designs of various cyclic and
dihedral symmetries. In silico success is defined here as the proportion of
designs for which AF2 yields a prediction from a single sequence that has mean
pLDDT > 80 and backbone r.m.s.d. over the oligomer between the design model
and AF2 < 2Å. Note that 16 sequences per RFdiffusion design were sampled.
C) Box plots of the distribution of backbone r.m.s.d.s between AF2 and the
RFdiffusion design model with and without the use of external potentials during
the trajectory. The external potentials used are the ‘inter-chain’ contact potential
(pushing chains together), as well as the ‘intra-chain’ contact potential (making
chains more globular). Using these potentials dramatically improves in silico
success (Two-proportion z-test of in silico success rate: n = 100 designs per
condition, z = 4.3, p = 1.9e-5). D) Designs are diverse with respect to the training
dataset (the PDB). While the monomers (typically 60–100 AA) show reasonable
alignment to the PDB (median 0.72), the whole oligomeric assemblies showed
little resemblance to the PDB (median 0.50). E) Additional examples of design
models (left) against AF2 predictions (right) for C3, C5, C12, and D4 symmetric
designs (the symmetries not displayed in Fig. 3) with backbone r.m.s.d.s (Å)
against their AF2 predictions of 0.82, 0.63, 0.79, and 0.78 with total amino acids
750, 900, 960, 640. F) Additional nsEM data for symmetric designs. The model
is shown on the left and the 2D class averages on the right for each design.
G) Two orthogonal side views of HE0537 by cryo-EM. Representative 2D class
averages from the cryo-EM data are shown to the right of 2D projection images
of the computational design model (lowpass filtered to 8 Å), which appear
nearly identical to the experimental data. Scale bars shown (white) are 60 Å.
Boxplot represents median ± IQR; tails: min/max excluding outliers (±1.5xIQR).
Extended Data Fig. 6 | See next page for caption.
ArticleExtended Data Fig. 6 | External potentials for generating pockets around
substrate molecules. A–D) Example in silico successful designs for enzyme
classes 2–5 (ref. 57, see also Fig. 4). Native enzyme (PDB: 1CWY, 1DE3, 1P1X, 1SNZ);
catalytic site (teal); RFdiffusion output (gray: model, colors: AF2 prediction).
Metrics (AF2 vs design backbone r.m.s.d., AF2 vs design motif backbone
r.m.s.d., AF2 vs design motif full-atom r.m.s.d., AF2 pAE): EC2: 0.93 Å, 0.50 Å,
1.29 Å, 3.51; EC3: 0.92 Å, 0.60 Å, 1.07 Å, 4.59; EC4: 0.93 Å, 0.80 Å, 1.03 Å, 4.41; EC5:
0.78 Å, 0.44 Å, 1.14 Å, 3.32. E–H) Implicit modeling of a substrate while
scaffolding a retroaldolase active site triad [TYR1051-LYS1083-TYR1180] from
PDB: 5AN7. E) The potential used to implicitly model the substrate, which has
both a repulsive and attractive field (see Supplementary Methods 4.4). F) Left:
Kernel densities demonstrate that without using the external potential (pink),
designs often fall into two failure modes: (1) no pocket, and (2) clashes with the
substrate. Right: clashes (substrate < 3 Å of the backbone) & pockets (no clash
and > 16 Cα within 3–8 Å of substrate) with and without the potential. Two-
proportion z-test: n = 71/51 +/− potential; clashes z = −2.05, p = 0.02, pocket
z = −2.27, p = 0.01. Each datapoint represents a design already passing the
stringent in silico success metrics (AF2 motif r.m.s.d. < 1 Å, AF2 backbone
r.m.s.d. < 2 Å, AF2 pAE < 5). Note that the potential and clash definition pertain
only to backbone Cα atoms, and do not currently include sidechain atoms.
G) Designs close to the labeled local maxima of the kernel density estimate.
Without the potential, the catalytic triad is predominantly (1) exposed on the
surface with no residues available to provide substrate stabilization or (2)
buried in the protein core, preventing substrate access. With the potential, the
catalytic triad is predominantly (3), partially buried in a concave pocket with
shape complementary to the substrate. Backbone atoms within 3 Å of the
substrate are shown in red. H) A variety of diverse designs with pockets made
using the potential, with no clashes between the substrate and the AF2-
predicted backbone. The functional form and parameters used for the pocket
potential are detailed in Supplementary Methods 4.4. In each case the substrate
is superimposed on the AF2 prediction of the catalytic triad.
Extended Data Fig. 7 | See next page for caption.
ArticleExtended Data Fig. 7 | Additional Ni2+ binding C4 oligomers. A) AF2
predictions of a subset of the experimentally verified Ni2+ binding oligomers,
with corresponding isothermal titration calorimetry (ITC) binding isotherms
for the wild-type (blue) and H52A mutant (pink) below. Note that these, with
Fig. 5, encompass all of the experimentally validated outputs deriving from
unique RFdiffusion backbones. Wild-type dissociation constants are displayed
in each plot. We observe a mixture of endothermic (NiB2.10, NiB2.23, NiB2.15)
and exothermic isotherms. For all cases displayed we observe no binding to the
ion for H52A mutants, indicating the scaffolded histidine at position 52 is
critical for ion binding. KD values in the isotherms indicate binding of the ion
with the designed stoichiometry (1:4 Ni2+:protein). Note that each backbone
depicted is from a unique RFdiffusion sampling trajectory, and that models and
data for designs NiB2.15, NiB1.12, NiB1.20 and NiB1.17 from Fig. 5 are duplicated
here for ease of viewing. B) Size exclusion chromatograms for elutions from the
44 purifications suggest the vast majority of designs are soluble and have the
correct oligomeric state. C) Size exclusion chromatograms for 20 H52A mutants
show that the mutants remain soluble and retain the intended oligomeric state.
Note that only 18 of these 20 had wild-type sequences that definitively bound
nickel. Note also that for ITC plots, points represent single measurements.
Extended Data Fig. 8 | See next page for caption.
ArticleExtended Data Fig. 8 | Targeted unconditional and fold-conditioned protein
binder design. A-B) The ability to specify where on a target a designed binder
should bind is crucial. Specific “hotspot” residues can be input to a fine-tuned
RFdiffusion model, and with these inputs, binders almost universally target
the correct site. A) IL-7Rα (PDB: 3DI3) has two patches that are optimal for
binding, denoted Site 1 and Site 2 here. For each site, 100 designs were generated
(without fold-specification). B) Without guidance, designs typically target Site
1 (left bar, gray), with contact defined as Cα-Cα distance between binder and
hotspot reside < 10 Å. Specifying Site 1 hotspot residues increases further the
efficiency with which Site 1 is targeted (left bar, pink). In contrast, specifying
the Site 2 hotspot residues can completely redirect RFdiffusion, allowing it
to efficiently target this site (right bar, pink). C-D) As well as conditioning
on hotspot residue information, a fine-tuned RFdiffusion model can also
condition on input fold information (secondary structure and block-adjacency
information - see Supplementary Methods 4.5). This effectively allows the
specification of a (for instance, particularly compatible) fold that the binder
should adopt. C) Two examples showing binders can be specified to adopt
either a ferredoxin fold (left) or a particular helical bundle fold (right).
D) Quantification of the efficiency of fold-conditioning. Secondary structure
inputs were accurately respected (top, pink). Note that in this design target
and target site, RFdiffusion without fold-specification made generally helical
designs (right, gray bar). Block-adjacency inputs were also respected for
both input folds (bottom, pink). E) Reducing the noise added at each step of
inference improves the quality of binders designed with RFdiffusion, both
with and without fold-conditioning. As an example, the distribution of AF2
interaction pAEs (known to indicate binding when pAE < 1026) is shown for
binders designed to PD-L1. In both cases, the proportion of designs with
interaction pAE < 10 is high (blue curve), and improved when the noise is scaled
by a factor 0.5 (pink curve) or 0 (yellow curve). F) Full in silico success rates
for the protein binders designed to five targets. In each case, the best fold-
conditioned results are shown (i.e. from the most target-compatible input fold),
and the success rates at each noise scale are separated. In line with current best
practice26, we tested using Rosetta FastRelax58 before designing the sequence
with ProteinMPNN, but found that this did not systematically improve designs.
In silico success is defined in line with current best practice26: AF2 pLDDT of the
monomer > 80, AF2 interaction pAE < 10, AF2 r.m.s.d. monomer vs design < 1 Å.
G) Experimentally-validated de novo protein binders were identified for all five
of the targets. Designs that bound at 10 μM during single point BLI screening
with a response equal to or greater than 50% of the positive control were
considered binders. Concentration is denoted by hue for designs that were
screened at concentrations less than 10 μM and thus may be false negatives.
Extended Data Fig. 9 | See next page for caption.
ArticleExtended Data Fig. 9 | Cryo-electron microscopy structure determination
of designed Influenza HA binder. A) Representative raw micrograph showing
ideal particle distribution and contrast. B) 2D Class averages of Influenza
H1+HA_20 binder with clearly defined secondary structure elements and a full-
sampling of particle view angles (scale bar = 10 nm). C) Cryo-EM local resolution
map calculated using an FSC value of 0.143 viewed along two different angles.
Local resolution estimates range from ~2.3 Å at the core of H1 to ~3.4 Å along the
periphery of the N-terminal helix of the HA_20 binder. D) Cryo-EM structure of
the full H1+HA_20 binder complex (purple: HA_20; yellow: H1; teal: glycans).
E) Global resolution estimation plot. F) Orientational distribution plot
demonstrating complete angular sampling. G) 3D ab initio (left) and 3D
heterogenous refinement (right - unsharpened) outputs, performed in the
absence of applied symmetry, and showing clear density of the HA_20 binder
bound to all three stem epitopes of the Iowa43 HA glycoprotein trimer, in all
maps. H) The designed binder has topological similarity to 5VLI, a protein in
the PDB, but binds with very different interface contacts.
Extended Data Table 1 | Cryo-EM data collection, refinement and validation statistics
ArticleCorresponding author(s): David Baker
Last updated by author(s): June 22nd, 2023
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RFdiffusion 1.0.0 (this study), ProteinMPNN, AlphaFold2, TMalign, Protein-Protein BLAST 2.11.0+, SerialEM
Data analysis
Matplotlib 3.6.2, ScIPy 1.9.3, Seaborn 0.11.2, PyMOL 2.5.0, ForteBio Data Analysis Software Version 9.0.0.14, pycorn 0.19, CryoSparc v4.0.3,
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Design structures, AlphaFold2 models and experimental measurements are available at https://figshare.com/s/439fdd59488215753bc3. Cryo-EM maps and
corresponding atomic models for the Influenza HA binder in Figure 6D-H have been deposited in the PDB and the Electron Microscopy Data Bank under accession
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codes 8SK7 and EMDB-40557, respectively. Electron microscopy data collected for the HE0537 oligomer is available at EMDB-40602. Cryo-EM data collection,
refinement and validation statistics are supplied in Extended Data Table 1.
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| null |
10.1088_1361-6501_ad0e9d.pdf
|
Data availability statement
The data cannot be made publicly available upon publication
because the cost of preparing, depositing and hosting the data
would be prohibitive within the terms of this research project.
The data that support the findings of this study are available
upon reasonable request from the authors.
|
Data availability statement The data cannot be made publicly available upon publication because the cost of preparing, depositing and hosting the data would be prohibitive within the terms of this research project. The data that support the findings of this study are available upon reasonable request from the authors.
|
Meas. Sci. Technol. 35 (2024) 035002 (15pp)
Measurement Science and Technology
https://doi.org/10.1088/1361-6501/ad0e9d
Attention features selection
oversampling technique (AFS-O) for
rolling bearing fault diagnosis with class
imbalance
Zhongze Han2, Haoran Wang2, Chen Shen1, Xuewei Song2, Longchao Cao1
and Lianqing Yu1,∗
1 Hubei Key Laboratory of Digital Textile Equipment, Wuhan Textile University, Wuhan 430200,
People’s Republic of China
2 School of Mechanical Engineering & Automation, Wuhan Textile University, Wuhan 430200, People’s
Republic of China
E-mail: yulq@wtu.edu.cn
Received 9 May 2023, revised 11 September 2023
Accepted for publication 21 November 2023
Published 5 December 2023
Abstract
When using data-driven methods for fault diagnosis of mechanical rotating components such as
gears and bearings, there is a problem of class imbalance in the lifecycle data collected by
sensors. The most commonly used method to address this issue is the synthetic minority
over-sampling technique, which synthesizes samples in the feature space, but its blind synthesis
may lead to redundant features in the synthetic samples. To avoid this deficiency, this paper
proposes a feature-weighted oversampling method called AFS-O (Attention Features Selection
Oversampling Technique). First, time–frequency domain features are extracted from the full
lifecycle data of bearings to construct an initial subset of features, which serves the input to
AFS. Then, AFS is then used to obtain the distribution of feature selection patterns and generate
feature weights to determine the inclusion or exclusion of each feature, thereby constructing an
optimal subset of features. Finally, the optimal feature subset is synthetically oversampled to
achieve class-balanced data, which is then fed into a classifier. AFS-O is applied to the rolling
bearing accelerated lifetime dataset from Xi’an Jiaotong University. Experimental results
demonstrate that AFS-O outperforms other state-of-the-art synthetic oversampling algorithms in
terms of Gmean, F2score, and Recall, confirming the effectiveness of the proposed method.
Keywords: rolling bearing fault diagnosis, class imbalance, attention mechanism,
oversampling technique
1. Introduction
Rotating machinery is one of the most important equipment
in modern industrial applications. Rotating machinery such
as gears and bearings work under many complex working
conditions resulting in their susceptibility to failure, which
∗
Author to whom any correspondence should be addressed.
reduces the transmission accuracy, productivity and safety of
the equipment [1, 2]. Therefore, fault diagnosis of rotating
machinery is crucial to ensure the reliability, productivity and
economic efficiency of industrial systems.
The existing fault diagnosis methods based on the pro-
gnostics and health management (PHM) [3] framework can
be classified into three categories: model-based methods,
data-driven methods, and hybrid methods. Different from the
1361-6501/24/035002+15$33.00
1
© 2023 IOP Publishing Ltd
Meas. Sci. Technol. 35 (2024) 035002
Z Han et al
model-based method, the data-driven method does not rely
on expert knowledge, which makes it the most widely used
method in the PHM framework. The performance of data-
driven method largely depends on the quality of the extrac-
ted features, that is, how to extract the features that effectively
represent the health state of rotating machinery is the core of
PHM technology.
Deep Learning (DL) models, as one of the mainstream
methods in PHM technology, utilize multi-layered neural net-
work structures to perform hierarchical abstraction of input
data, automatically extracting complex features. This effect-
ively compensates for the drawback of manual feature extrac-
tion methods, which lack the ability to adaptively learn
features [4–6]. The mainstream DL models in PHM include
deep belief network, autoencoder (AE), convolutional neural
network (CNN), recurrent neural network, and generative
adversarial network (GAN) [7]. These classic models have
been widely applied in various fields within the domain of
PHM. Zhou et al [8] applied channel fusion mechanism to con-
volutional AE, giving the model a more stable feature repres-
entation capability, thus improving its accuracy and efficiency
in fault diagnosis. Yao and Han [9] proposed a deep transfer
CNN for accurately estimating the capacity of lithium-ion bat-
teries to ensure their safety and reliability. Mitici [10] intro-
duced a CNN-based multi-component predictive maintenance
framework and validated its advantages in maintenance cost
and reliability using a real engineering dataset.
However, in actual production processes, the full life-
cycle data of rotating machinery exhibits class imbalance
characteristics [11], where the number of fault samples is
much smaller than that of normal samples. DL models are
affected by learning bias [12] when trained in a class-
imbalanced setting. In other words, when using a class-
imbalanced dataset to train a DL model, the majority class
samples have a larger influence on the loss function com-
pared to the minority class samples. As a result, the model
may perform well on majority class samples but poorly on
minority class samples, which is unfavorable for fault dia-
gnosis. Due to its prevalence and importance in industrial
scenarios, the class imbalance problem has attracted much
attention from researchers in various fields. Zhao et al [13]
proposed a method based on wavelet packet distortion and
CNN to address the class imbalance issue in mechanical fault
diagnosis. Wang et al [14] combined adaptive variational AE
with GAN to generate new fault samples.
Oversampling technique, as one of the main methods for
class imbalance, aims to balance the class sample quantities
by randomly replicating minority class samples. Tao et al [15]
defined a hypersphere region for minority class samples based
on the imbalance ratio and distance metrics, and performed
adaptive oversampling with varying radius for the minority
class samples contained within different hyperspheres. Liu
et al [16] proposed a method that effectively suppresses the
generation of noisy samples during the oversampling process.
Synthetic minority over-sampling technique (SMOTE)
[17], as one of the oversampling methods, differs from the
conventional random oversampling replication mechanism.
Instead of directly replicating minority class samples, SMOTE
performs linear interpolation between minority class samples
and randomly selected samples from their neighborhood. This
effectively alleviates the overfitting issue caused by over-
sampling. Li et al [18] proposed an improved SMOTE method
that adaptively selects the value of k based on the distribu-
tion of minority class samples to enhance the generalization of
synthetic samples. Meng and Li [19] defined positive regions
using a central offset factor and performed synthetic over-
sampling in sparsely distributed regions.
However, the blindness of SMOTE in synthesizing samples
in feature space results in a high dependency on the fea-
tures present in the minority class samples. Therefore, it is
necessary to perform feature selection on the minority class
samples themselves before synthetic oversampling. By remov-
ing redundant features and constructing an optimal feature
subset, the quality of the synthetic samples can be improved
significantly.
Feature selection is commonly considered as a necessary
preprocessing step for classification tasks in the context of
class imbalance [20–23] to construct an optimal feature subset.
The commonly used feature selection methods can be mainly
categorized into three types: Filter, Wrapper and Embedded
[24]. Among them, Filter methods are widely used due to its
low computational cost and simplicity of algorithms. Filter
methods individually evaluate the correlation between each
feature and the class labels, assigning weights to the features.
The features are then selected based on the weight magnitude
to construct an optimal feature subset. This process usually
requires evaluating feature relevance using scoring functions
and thresholding methods. However, even though the selected
features have the highest correlation with the class labels, they
may still be correlated with each other and contain redundant
information, leading to the loss of useful information from the
original feature subset [25]. Therefore, to obtain the best fea-
ture subset with strong representational capabilities, DL mod-
els, due to their powerful adaptive information extraction cap-
abilities, have been widely applied in feature selection across
various scenarios [26–28]. To further enhance the perform-
ance of DL models in specific tasks, the attention mechan-
ism (AM) [29] has been introduced into the field of DL. AM
aims to guide DL models to focus on more relevant inform-
ation for the current task by assigning feature weights, mak-
ing it similar to feature selection. Unlike common filter meth-
ods such as Fisher Score and Relief [30], AM utilizes its own
network structure to adaptively extract more complex rela-
tionships among features, in addition to their correlations, to
assign feature weights. It continuously adjusts these feature
weights using the backpropagation algorithm to achieve the
goal of feature selection. This means that AM can be used to
improve the minority class samples themselves, thereby avoid-
ing the problem of poor-quality synthetic samples caused by
the blindness of SMOTE in feature space.
This paper proposes a fault diagnosis method named
AFS-O (Attention Feature Selection with Oversampling),
2
Meas. Sci. Technol. 35 (2024) 035002
Z Han et al
which combines the attention feature selection (AFS) mech-
anism with synthetic oversampling technique. Firstly, time-
frequency domain features are extracted from the raw vibra-
tion signals of the bearings to construct an initial feature set,
which serves as the input to AFS. Next, the attention block in
AFS treats the correlation between each input feature and the
labels as a binary classification problem and generates feature
weights based on the distribution of the feature selection pat-
terns. Then, the learning block in AFS continuously adjusts the
feature weights to make choices among features and construct
the optimal feature subset. Finally, the optimal feature subset
undergoes synthetic oversampling and is fed into the classifier
for fault diagnosis.
The main contributions of this paper are as follows:
1. A fault diagnosis model based on an improved SMOTE
algorithm is proposed. Unlike the improvements on
SMOTE using neighborhood partitioning methods [31,
32], AFS-O focuses on enhancing the quality of synthetic
samples by improving the minority class samples them-
selves. This property allows AFS-O to avoid the problem
of poor synthetic samples quality caused by the blindness
of the SMOTE synthesis rules.
2. Compared to traditional feature selection methods, AFS, as
a DL model, considers complex relationships among fea-
tures by introducing the AM to construct the optimal feature
subset.
3. AFS-O was compared with the latest improved SMOTE
method on real engineering datasets, demonstrating the
superiority of AFS-O in addressing class imbalance issues.
Section 2 provides a review of synthetic oversampling
methods and feature selection methods in the context of DL.
Section 3 elaborates on the working principles of the proposed
approach. In section 4, comparative experiments are designed
on the rolling bearing accelerated life test dataset from Xi’an
Jiaotong University to validate the performance of AFS-O.
Finally, section 5 summarizes the work of this paper.
2. Related works
2.1. Overview of synthetic oversampling
The focus of this study is on binary classification problems
under class imbalance, where minority class samples often
carry more classification-relevant information [11]. We refer
to majority class samples as negative class and minority class
samples as positive class. Although SMOTE effectively alle-
viates the overfitting issue caused by oversampling, it also has
certain limitations.
Problem 1: poor-quality of synthetic samples. The positive
samples may contain noise samples, which directly affects the
quality of the synthetic samples.
Problem 2: blurred class boundaries. SMOTE does not
consider the distribution of negative samples when synthes-
izing positive samples. Positive samples at the class boundary
have their k-nearest neighbors also at the boundary, leading
to synthetic samples being in the class overlap region, which
further blurs the class boundaries.
Problem 3: uneven distribution of positive samples. When
the distribution of positive samples contains both dense and
sparse regions, the synthetic samples generated by SMOTE
follow the proximity principle and are distributed accordingly.
This means that after applying SMOTE, the dense regions of
the positive class will still remain relatively dense, while the
sparse regions will remain relatively sparse.
Researchers have made corresponding improvements to
SMOTE as for the problems. Borderline-SMOTE [33] was
proposed to address Problem 2, while ADASYN [34]
(Adaptive Synthetic Sampling) [35] assigns adaptive weights
to different distributions of positive samples, determining the
number of synthetic samples based on the weight magnitude
to address Problem 3. In recent years, several SMOTE variants
have also been proposed to tackle Problem 1.
For example, FW-SMOTE [31] uses weighted Minkowski
distance to define the neighborhood of positive samples. This
approach ensures that the partitioned neighborhood contains
positive samples that are more relevant to the classification
task, thereby improving the quality of synthetic samples.
SMOTIFIED-GAN [35] inputs both synthetic samples and
positive samples into a GAN and obtains realistic synthetic
samples after its convergence. Deep-SMOTE [36] success-
fully embeds SMOTE into a deep AE, obtaining high-quality
synthetic samples. Geometric-SMOTE [37] defines a flexible
geometric region around positive samples as the neighborhood
and performs synthesis at the boundary of positive samples.
However, for problem 1, the above methods do not consider
the negative impact of redundant features that may exist in pos-
itive samples on the classifier’s performance. Therefore, it is
necessary to perform appropriate feature selection on positive
samples before conducting synthetic oversampling to improve
the quality of synthetic samples.
2.2. AM for feature selection
In fact, traditional feature selection methods often perform
poorly in class-imbalanced scenarios because each feature
may not be independent and could have complex relation-
ships with others. Thanks to the network architecture of DL,
the unique global information extraction capability of the AM
gives it great potential in the field of feature engineering [38–
40], and researchers have successfully applied AM to fea-
ture selection. For example, Paul et al [41] proposed a GAN-
based multi-label feature selection method. Zhuang et al [42]
designed a residual convolution module for feature learning to
enhance classification and suppress redundant features. Zhang
et al [43] added attention to the frequency bands obtained
through wavelet packet transformation, highlighting key fea-
tures in the wavelet coefficients to improve the performance
of ResNet in wind turbine gearbox fault diagnosis.
Therefore, we believe that AM can be used in the feature
selection process before synthetic oversampling to improve
the positive samples and construct the optimal feature sub-
set. This approach addresses the issue of poor-quality synthetic
samples caused by the blindness of SMOTE’s synthesis rules.
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Meas. Sci. Technol. 35 (2024) 035002
Z Han et al
Figure 1. Overall framework of AFS-O.
3. The proposed method
This section presents the details of the proposed method.
Section 3.1 illustrates the overall architecture of the fault
diagnosis model based on AFS-O. Section 3.2 explains the
content of time-frequency domain feature extraction using
examples and equations. Sections 3.3 and 3.4 describe the
working principles of AFS and SMOTE, respectively.
3.1. Fault diagnosis module based on AFS-O
Figure 1 illustrates the rolling bearing full-lifecycle fault dia-
gnosis model based on AFS-O, with the following steps:
Step 1. Obtain the vibration signals of the rolling bearing
throughout its full lifecycle and extract time-frequency domain
features to create an initial feature subset.
Step 2. Input the initial feature subset into AFS. The atten-
tion block generates feature weights based on the distribution
of feature selection patterns, and the learning block continu-
ously adjusts these feature weights to make choices among
features and construct the optimal feature subset.
Step 3. Apply synthetic oversampling to the positive class
samples within the optimal feature subset to obtain a class-
balanced feature subset.
Step 4. Input the class-balanced feature subset into the clas-
sifier for classification, and evaluate the performance of AFS-
O based on the Recall, Gmean, and F2score of the classifier.
have conducted in-depth research in the field of fault diagnosis
and prediction [45–48]. In their work [49], they presented
a total of 24 time-frequency domain features for identify-
ing rotating machinery faults. Table 1 provides the calcula-
tion methods for 11 time-domain features and 13 frequency-
domain features, and these 24 time–frequency domain features
form the initial feature subset.
For example, p7 represents kurtosis, which is sensitive to
impulsive signals in bearing vibration data. p4 represents the
root mean square (RMS) value, reflecting the energy intensity
and stability of the vibration signal. p16 represents the centroid
frequency, describing the frequency of the dominant vibration
signal in the spectrum. p18 represents the frequency RMS,
reflecting the frequency distribution of the vibration signal.
In the table, N represents the number of samples, x (n)
denotes the input vibration signal, s (k) represents the power
spectral density, and fk corresponds to the frequency amp-
litude of each sample point. As shown in figure 2, after extract-
ing the time–frequency domain features from the source vibra-
tion signal, a preliminary feature dataset X is constructed from
each individual feature:
X = {xi
|i = 1, 2, . . . , n} ∈ Rm×n
where m represents the number of samples, and n represents
the dimensionality of the features.
3.3. AFS
3.2. Time–frequency domain features extraction
Time-domain and frequency-domain indicators to some extent
represent the health status of rotating machinery [44]. Lei et al
Although the above features can reflect rotational machinery
faults from different perspectives, there are differences in the
sensitivity of different features to faults. Therefore, it is neces-
sary to select key features that carry more fault information
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Z Han et al
Table 1. Time–frequency domain features for bearings.
Time-domain features
∑
N
n=1 x(n)
N
( ∑
√
N
n=1
|x(n)|
)
2
N
p1 =
p3 =
p5 = max |x (n)|
∑
N
n=1
(x(n)−p1)4
(N−1)p4
2
p7 =
p9 = p5
p3
p11 =
Np5∑
N
n=1
|x(n)|
√ ∑
√ ∑
N
n=1
(x(n)−p1)
N−1
N
n=1
(x(n))2
N
∑
N
n=1 (x(n)−p1)
(N−1)p3
2
p2 =
p4 =
p6 =
p8 = p5
p4
p10 =
Np4∑
N
n=1
|x(n)|
Frequency-domain features
p12 =
p14 =
p16 =
p18 =
p20 =
p22 =
p24 =
∑
∑
K
k=1 s(k)
K
K
k=1 (s(k)−p12)3
p13)3
K(
√
∑
K
k=1 s(k)fk
∑
K
k=1 s(k)
√
∑
K
k=1 s(k)f 2
∑
k
K
k=1 s(k)
∑
√∑
K
k=1 s(k)f 2
∑
k
∑
∑
K
k=1 s(k)f 4
k
K
k=1 s(k)
( fk
K
k=1
−p16)3s(k)
Kp3
17
−p16)1/2s(k)
√
K
K=1
( fk
K
p17
p13 =
p15 =
p17 =
p19 =
∑
∑
K
k=1 (s(k)−p12)
K−1
K
k=1 (s(k)−p12)4
Kp2
13
√ ∑
√
∑
∑
K
k=1
( fk
−p16)2s(k)
K
K
k=1 s(k)f 4
k
K
k=1 s(k)f 2
k
p21 = p17
p16
∑
p23 =
K
k=1
( fk
−p16)4s(k)
Kp4
17
Figure 2. Process of features extraction.
while removing redundant features to improve the overall per-
formance of the model. Figure 3 shows the framework of AFS.
AFS is composed of two main components: the attention
block and the learning block. The attention block is respons-
ible for generating feature weights based on the association
between features and class labels. It transforms this associ-
ation into a binary classification problem and assigns a shal-
low attention network to each feature. The learning block, on
the other hand, establishes the relationship between the labels
and the feature weights using a deep neural network. During
the training process, the learning block continuously corrects
the feature weights to find the optimal correlation between the
weighted features and the class labels. The initial feature sub-
set X serves as the input to the attention block.
Firstly, the Dense Net in the atten-
3.3.1. Attention block.
tion block is used to extract the intrinsic correlation within the
input X which is represented by equation (1). E compresses the
original feature space and remove noise or outliers,
E = Tanh (XW1 + b1)
(1)
5
where the W1 and b1 are the parameters to be learned in the
Dense Net.
Then, the attention block provides a shallow attention net-
work for each feature to determine the probability of the fea-
ture being selected. AFS proposes a novel soft AM in this
attention block. The shallow attention network considers the
correlation between features and labels as a binary classifica-
tion problem, where the attention network outputs two values
pk and uk (k is the kth feature), representing selection and non-
selection, respectively.
pk = wk
phk
L + bk
p
(2)
uk = wk
uhk
L + bk
u
L is the Lth hidden layer in the kth shallow attention
u are the parameters to be learned in
p and wk
u, bk
p, bk
where hk
network. wk
pk and uk.
Meas. Sci. Technol. 35 (2024) 035002
Z Han et al
Figure 3. Framework of AFS.
Furthermore, pk and uk are converted to the probability
values through Softmax, respectively. Here, only the probab-
ility ak of the kth feature selected by pk is concerned. ak is cal-
culated as follows:
(
)
exp
pk
vector S through backpropagation, constantly considering
whether to select certain features. After the loss function con-
verges, the feature matrix obtained by removing redundant
features is the optimal feature subset G before the synthesis
oversampling process G:
ak =
exp (pk) + exp (uk)
.
(3)
G = {gi|i = 1, 2, . . . , d} ∈ Rm×d
And all of above- ak constitute the attention matrix A:
{
ak
i
A =
|i = 1, 2, . . . , m; k = 1, 2, . . . , n
}
∈ Rm×n
where m is the number of samples, while n is the number of
features.
Finally, the weight factors sk for the corresponding features
are calculated from the ak obtained by the kth shallow attention
network using equation (5) :
sk =
1
m
m∑
i =1
ak
i
(4)
and the weight vector S is formed by all sk:
S = (si
|i = 1, 2, . . . , n) ∈ Rm×n.
In the learning block, the Hadamard
3.3.2. Learning block.
product between the weight vector S and input X results in the
matrix G with weighted features:
G = X ⊙ S.
(5)
For classification tasks, the learning block solves the cross
entropy loss function using a DNN and updates the weight
D = ReLu (GW2 + b2)
arg min
S
loss [ fD (Gθs
− Y)] + λR (θ)
(6)
where d represents the feature dimension after removing
redundant features. W2 and b2 are the parameters that need
to be learned in the DNN. fD (·) denotes the loss function of
the DNN, which is commonly used as the cross-entropy loss
function for binary classification tasks. λR (·) represents the
regularization term used to prevent overfitting.
3.4. Synthetic oversampling process
The fundamental concept behind SMOTE is presented shown
in figure 4. To generate a synthetic sample, firstly, a minor-
ity sample is selected as the root sample. Then, a sample is
randomly selected from the neighborhood (k nearest neigh-
bor sample regions of the same class) of xi with the upward
sampling rate N as the auxiliary sample of the synthetic
sample, and it is repeated n times. Lastly, linear interpolation
is carried out on each dimensional feature in the feature space
between the root sample and the auxiliary sample, utilizing
through equation (7), and n synthetic samples are ultimately
produced generated,
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Z Han et al
Figure 4. Linear synthesis rules of SMOTE.
xnew = xi + γ (xij
− xi)
(7)
is the root sample of
ith (i = 1, 2, 3, . . . , n),
where xi
jth
xij ( j = 1, 2, . . . , k) is the
the
ith selection, γ is a random number between [0,1], xnew
presents the synthetic samples after linear interpolation.
auxiliary sample of
After obtaining the optimal feature subset G, the positive
samples it contains need to be synthetically oversampled. In
this paper, the k value of SMOTE is set to 5 by default, and
the balanced class feature subset ˆG is obtained after SMOTE
processing and is fed into the classifier.
ˆG = {ˆgi|i = 1, 2, . . . , d} ∈ Rˆm×d
where ˆm represents the number of samples in ˆG, which is cal-
culated as follows:
ˆm = m × 2IR + 1
IR + 1
.
(8)
4. Experiment and results
4.1. Description of proposed datasets
The dataset used in this study is the rolling bearing accelerated
life test dataset from Xi’an Jiaotong University (XJTU-SY)
[50]。As presented in figure 5. The experimental setup com-
prises an AC motor, a motor speed controller, a rotating shaft,
support bearings, a hydraulic loading system, and test bear-
ings. The experimental platform allows for adjustment of oper-
ating conditions, primarily including radial force and speed,
and establish three different operating conditions by varying
the radial force and speed. The radial force is generated by the
hydraulic loading system and is applied to the bearing seat of
the test bearing, while the speed is set and adjusted by the AC
motor’s speed controller. The test bearing used in the experi-
ment is LDK UER204, and its detailed parameters are listed
in table 2.
Two PCB 352C33 unidirectional accelerometers were util-
ized to acquire vibration signals in the horizontal and ver-
tical directions of the test bearings. As shown in figure 6, the
sampling frequency was set to 25.6 kHz, with a sampling dur-
ation of 1.28 s per sampling and a sampling interval of 1 min.
The amount of data acquired from a single sampling was
32 768. Table 3 presents detailed information on each bearing
dataset under three operating conditions, including the corres-
ponding operating condition, the number of sampling times,
the class imbalance ratio IR (which is the negative samples
divided by the positive samples), and the actual life and fault
location of the bearing. Figure 7 shows three types of bearing
fault contained in XJTU-SY.
4.2. Evaluation metrics
In the full lifecycle data of rolling bearings, the number
of negative samples is much larger than that of positive
samples. Therefore, accuracy is not a suitable metric for eval-
uating the classification performance of classifiers under class
imbalance. Instead, Gmean, Fβ Score, and recall based on
the confusion matrix (as shown in table 4) are selected as
evaluation metrics to measure the performance of classifiers.
Among these, Gmean and Fβ Score are suitable for measuring
the overall performance of classifiers. A classifier must per-
form well on both classes to obtain larger values of Gmean and
Fβ Score. Recall is suitable for measuring the local perform-
ance of classifiers as it pays more attention to positive class
samples. The calculation formulas of the Gmean and Fβ Score
are as follows:
√
Gmean =
(
FβScore =
1 + β2
Recall ∗ Precision
)
Recall ∗ Precision
β2·Precision + Recall
where recall and precision are calculated as follows:
Recall = TP
TP+FN
Precision = TP
TP+FP .
(9)
(10)
(11)
Recall represents the proportion of correctly predicted pos-
itive samples out of all positive samples, while precision rep-
resents the proportion of true positive samples in the pre-
dicted positive samples. In fault diagnosis problems, detecting
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Meas. Sci. Technol. 35 (2024) 035002
Z Han et al
Figure 5. Bearing accelerated life test platform.
Table 2. LDK UER204 parameters.
Parameters
Values
Parameters
Values
Inner race diameter /mm
Outer race diameter /mm
Bearing mean diameter /mm
Load rating (dynamic) /kN
29.30
39.80
34.55
12.82
Ball diameter/mm
Number of balls
◦
Contact angle/(
Load rating (static) /kN
)
7.92
8
0
6.65
Figure 6. Settings for data acquisition.
Table 3. Information of XJTU-SY datasets.
Operating condition
Datasets
Sampling times
IR
Actual life
Fault location
Condition 1 (35 Hz/12kN)
Condition 2 (37.5 Hz/11kN)
Condition 3 (40 Hz/10kN)
Bearing1_1
Bearing1_2
Bearing1_3
Bearing2_1
Bearing2_2
Bearing2_3
Bearing3_1
Bearing3_2
Bearing3_3
29.69
39.57
11.97
14.83
11.99
9.77
64.86
93.42
38.41
2 h3 min
2 h2 min
52 min
8 h11 min
8 h53 min
5 h39 min
42 h18 min
41 h36 min
25 h15 min
Outer race
Cage
Inner race
Inner race
Cage
Outer race
Outer race
Cage
Inner race
123
122
52
491
533
339
2538
2496
1515
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Figure 7. Type of faults in XJTU bearings: (a) Outer race fracture. (b) Inner race wear. (c) Cage fracture.
Table 4. Confusion matrix.
True positive class
True negative class
Predicted Positive class
Predicted Negative class
TP
FN
FP
TN
Table 5. Parameter settings for AFS and VGG16.
AFS
Parameters
Batch size
Learning rate
Learning rate decay
Optimizer
Loss function
Activation
Epoch
Values
100
0.001
StepLR (gamma = 0.99)
Adam
CrossEntropyLoss
ReLu
3000
VGG16
Parameters
Batch size
Learning rate
Learning rate decay
Optimizer
Loss function
Activation
Epoch
Values
16
0.001
ReduceLRonPlateau
Adam
CrossEntropyLoss
ReLu/Sigmoid
100
positive samples is of utmost importance, so the value of β is
set to 2 in equation (9) to give more weight to recall.
4.3. Comparison experiments
To evaluate the performance of AFS as a feature selection
method, the experimental section compares four common
feature selection methods: maximum information coefficient
(MIC), variance selection, support vector machine (SVM)
with L1 penalty, and random forest (RF) on the XJTU-SY
dataset.
FW-SMOTE, SMOTIFIED-GAN, deep-SMOTE,
and
geometric-SMOTE are four oversampling methods that have
been proven effective in various class-imbalanced scenarios.
Therefore, AFS-O is compared with these four latest methods
on the XJTU-SY dataset to validate its performance.
To facilitate the description of the subsequent experimental
results, we consider the classifier’s scores as the scores for each
synthetic oversampling method.
The selected comparison meth-
4.3.1. Parameter settings.
ods use the parameters as set in the original paper. For AFS,
the initialization parameters are set to a truncated normal
distribution with a mean of 0 and a standard deviation of 0.1.
The dataset is divided using stratified k-fold cross-validation
to prevent classifier overfitting, and the default value for k is
set to 10. For consistency in comparison, all methods use the
VGG16 CNN as the classifier. Table 5 shows the parameter
settings for AFS andVGG16 CNN training.
feature
selection
4.3.2. Comparison with well-known
Figure 8 presents the Recall, Gmean,
methods on XJTU-SY.
and F2score of AFS and the other four common feature
selection methods. From figure 8(a), it can be observed that
AFS achieves the highest Recall on all datasets compared
to the other feature selection methods, with variance being
the lowest. Particularly, AFS achieves the highest Recall
of 0.948 on the Bearing2_3 dataset. Similarly, AFS also
obtains the highest Gmean and F2score on all datasets, with
the maximum values of 0.945 and 0.965 on the Bearing2_3,
respectively.
In summary, the performance of the machine learning-
based feature selection methods (RF and L1-SVM) is compar-
able to AFS, while methods solely relying on feature correla-
tions like Variance and MIC score lower than the three afore-
mentioned methods.
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Z Han et al
Figure 8. Comparison of AFS and well-known feature selection methods on XJTU-SY.
4.3.3. Comparison with mentioned oversampling methods
Tables 6–8 present the Recall, F2score, and
on XJTU-SY.
Gmean of AFS-O and the other four oversampling meth-
ods on the XJTU-SY dataset, respectively. The comparison
experiment results consist of the average and standard error of
ten sets of Gmean, F2 Score and Recall for each oversampling
method. The maximum in each row is highlighted in bold.
Figure 9 shows the distribution of scores for AFS-O and
other oversampling algorithms on the XJTU-SY dataset. As
shown in figure 9(a), Recall of AFS-O has a more concen-
trated score range and the highest mean value (0.914). In
comparison, FW-SMOTE has the most concentrated score
range and the second-highest mean value (0.878). Conversely,
SMOTIFIED-GAN exhibits larger fluctuations in Recall and
the lowest mean value (0.812). Deep-SMOTE and Geometric-
SMOTE show similar overall performance, with Recall mean
values of 0.846 and 0.855, respectively.
In figures 9(b) and (c), AFS-O achieves the highest mean
values of Gmean (0.932) and F2score (0.928). The trends in
Gmean and F2score for other oversampling methods are sim-
ilar to recall: Gmean and F2score of FW-SMOTE are more
concentrated compared to recall, while SMOTIFIED-GAN
has the lowest mean values for Gmean and F2score, at 0.744
and 0.753, respectively.
In conclusion, AFS-O has the highest recall mean, indic-
ating that it can identify more positive samples compared
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Z Han et al
Table 6. Comparison results of each oversampling method on recall.
Methods
Dataset No.
AFS-O
FW-SMOTE
SMOTIFIED-GAN
Deep-SMOTE
Geometric-SMOTE
1_1
1_2
1_3
2_1
2_2
2_3
3_1
3_2
3_3
Avg
0.913 ± 0.01
0.896 ± 0.01
0.929 ± 0.02
0.927 ± 0.02
0.934 ± 0.02
0.948 ± 0.01
0.887 ± 0.03
0.874 ± 0.02
0.907 ± 0.01
0.914 ± 0.02
0.875 ± 0.02
0.902 ± 0.01
0.872 ± 0.02
0.891 ± 0.02
0.909 ± 0.02
0.908 ± 0.02
0.890 ± 0.02
0.858 ± 0.03
0.879 ± 0.03
0.878 ± 0.02
0.772 ± 0.04
0.804 ± 0.05
0.835 ± 0.02
0.878 ± 0.02
0.857 ± 0.03
0.862 ± 0.02
0.739 ± 0.03
0.720 ± 0.05
0.811 ± 0.04
0.812 ± 0.03
0.864 ± 0.02
0.879 ± 0.02
0.850 ± 0.01
0.904 ± 0.02
0.873 ± 0.02
0.889 ± 0.02
0.824 ± 0.03
0.805 ± 0.04
0.844 ± 0.03
0.846 ± 0.02
0.863 ± 0.02
0.866 ± 0.02
0.832 ± 0.01
0.912 ± 0.02
0.872 ± 0.02
0.879 ± 0.01
0.817 ± 0.03
0.784 ± 0.03
0.870 ± 0.02
0.855 ± 0.02
Note: Bold highlights the best performance method in the certain dataset.
Table 7. Comparison results of each oversampling method on F2score .
Methods
Dataset No.
AFS-O
FW-SMOTE
SMOTIFIED-GAN
Deep-SMOTE
Geometric-SMOTE
1_1
1_2
1_3
2_1
2_2
2_3
3_1
3_2
3_3
Avg
0.927 ± 0.01
0.913 ± 0.01
0.941 ± 0.02
0.943 ± 0.01
0.936 ± 0.02
0.965 ± 0.01
0.922 ± 0.03
0.903 ± 0.02
0.926 ± 0.01
0.928 ± 0.02
0.895 ± 0.01
0.916 ± 0.01
0.877 ± 0.01
0.894 ± 0.02
0.882 ± 0.02
0.920 ± 0.01
0.873 ± 0.02
0.859 ± 0.02
0.890 ± 0.01
0.888 ± 0.02
0.804 ± 0.04
0.833 ± 0.04
0.839 ± 0.02
0.870 ± 0.03
0.862 ± 0.04
0.897 ± 0.03
0.792 ± 0.02
0.744 ± 0.05
0.820 ± 0.03
0.829 ± 0.03
0.880 ± 0.02
0.876 ± 0.01
0.863 ± 0.02
0.916 ± 0.02
0.878 ± 0.02
0.910 ± 0.01
0.845 ± 0.02
0.836 ± 0.03
0.854 ± 0.01
0.873 ± 0.02
0.879 ± 0.01
0.886 ± 0.01
0.914 ± 0.02
0.945 ± 0.02
0.886 ± 0.02
0.902 ± 0.02
0.844 ± 0.02
0.821 ± 0.03
0.871 ± 0.01
0.883 ± 0.02
Note: Bold highlights the best performance method in the certain dataset.
Table 8. Comparison results of each oversampling method on Gmean.
Methods
Dataset No.
AFS-O
FW-SMOTE
SMOTIFIED-GAN
Deep-SMOTE
Geometric-SMOTE
1_1
1_2
1_3
2_1
2_2
2_3
3_1
3_2
3_3
Avg
0.934 ± 0.01
0.917 ± 0.01
0.946 ± 0.02
0.936 ± 0.01
0.945 ± 0.02
0.976 ± 0.01
0.918 ± 0.02
0.899 ± 0.03
0.923 ± 0.01
0.932 ± 0.02
0.892 ± 0.01
0.914 ± 0.01
0.893 ± 0.01
0.910 ± 0.02
0.908 ± 0.02
0.919 ± 0.02
0.872 ± 0.02
0.865 ± 0.03
0.891 ± 0.01
0.901 ± 0.02
0.807 ± 0.04
0.831 ± 0.04
0.856 ± 0.03
0.882 ± 0.02
0.871 ± 0.03
0.885 ± 0.02
0.778 ± 0.02
0.753 ± 0.05
0.824 ± 0.03
0.843 ± 0.03
0.874 ± 0.02
0.883 ± 0.01
0.877 ± 0.02
0.920 ± 0.02
0.894 ± 0.02
0.907 ± 0.01
0.842 ± 0.02
0.831 ± 0.03
0.860 ± 0.01
0.876 ± 0.02
0.887 ± 0.01
0.892 ± 0.01
0.911 ± 0.02
0.940 ± 0.02
0.893 ± 0.02
0.913 ± 0.02
0.831 ± 0.02
0.835 ± 0.03
0.879 ± 0.01
0.882 ± 0.03
Note: Bold highlights the best performance method in the certain dataset.
to other oversampling methods. Additionally, as shown in
equation (8), the highest Gmean and F2score indicate that
AFS-O also achieves the highest precision. Therefore, in most
cases, AFS-O outperforms the other four oversampling meth-
ods. It is worth noting that while FW-SMOTE has a slightly
lower upper bound in terms of scores compared to AFS-
O, it exhibits better robustness. On the other hand, during
the training process of SMOTIFIED-GAN, we observed that
the GAN had difficulty converging to a Nash equilibrium
[51], which may lead to unstable synthetic sample quality
and poorer performance when faced with datasets of different
distributions.
4.3.4. Comparison with mentioned oversampling methods on
This section compares the performance of
different IRs.
11
Meas. Sci. Technol. 35 (2024) 035002
Z Han et al
Figure 9. Distribution of each oversampling method on the evaluation metrics.
each oversampling method under different IRs. We select
the feature subsets of Bearing3_2 (IR = 93.42), Bearing1_2
(IR = 39.57), and Bearing2_3 (IR = 9.77) to highlight the
performance differences of each oversampling method when
facing different IRs.
From figure 10,
it can be observed that AFS-O has
the highest Recall (0.948, 0.874), F2score (0.965, 0.903),
and Gmean (0.976, 0.899) on Bearing2_3 and Bearing3_2,
while SMOTIFIED-GAN has the lowest scores, with val-
ues of (0.862, 0.720), (0.885, 0.753), and (0.897, 0.744),
respectively. It can be seen that the scores of each over-
sampling method show a certain degree of decline as the
IR increases. Table 9 presents the decline in three evalu-
ation metrics for each oversampling method. Among them,
FW-SMOTE shows the smallest decline in each metric, with
percentages of 4.5% (Recall), 4.9% (F2score), and 7.1%
(Gmean). On the other hand, SMOTIFIED-GAN exhibits the
most significant declines, with percentages of 14.2% (Recall),
13.2% (F2score), and 15.3% (Gmean). Among the remaining
three oversampling methods, AFS-O demonstrates the best
robustness, with decreases of 7.4% (Recall), 6.2% (F2score),
and 7.7% (Gmean).
In summary, when the IR increases significantly, both FW-
SMOTE and AFS-O remain effective in helping the classifica-
tion model learn the features of positive samples to improve
the performance of the classifier. In fact, FW-SMOTE also
involves a feature selection process. Unlike AFS-O, it uses the
induced ordered weighted average operator to weight the fea-
tures of positive samples in the distance metric, and introduces
a feature ranking method to remove features with weights
below a specified threshold for feature selection. Therefore,
the excellent performance of AFS-O and FW-SMOTE on
feature subsets with high IR indicates the effectiveness and
superiority of establishing an optimal feature subset through
feature selection methods to address the class imbalance
problem.
12
Meas. Sci. Technol. 35 (2024) 035002
Z Han et al
Figure 10. Comparison of each oversampling method on different IRs.
Table 9. The decline of each oversampling method on the evaluation metrics.
AFS-O
FW-SMOTE
SMOTIFIED-GAN
Deep-SMOTE
Geometric-SMOTE
Recall
7.4%
4.5%
14.2%
8.4%
9.5%
F2-score
6.2%
4.9%
13.2%
7.4%
8.1%
Gmean
7.7%
7.1%
15.3%
7.6%
7.8%
5. Conclusions and future works
This paper proposes a data preprocessing method called AFS-
O, which combines attention-based feature selection with
synthetic oversampling techniques. The aim is to improve the
quality of synthetic samples and address the class imbalance
problem in the fault diagnosis of rolling bearings through-
out their entire lifecycle. Attention block treats the correlation
13
Meas. Sci. Technol. 35 (2024) 035002
Z Han et al
between each input feature and the labels as a binary classi-
fication problem and generates feature weights based on the
distribution of the feature selection pattern. The learning block
continuously adjusts these weights to select the most inform-
ative features and establish the optimal feature subset. The
main conclusions drawn from applying AFS-O and four other
latest oversampling methods to the XJTU-SY dataset are as
follows:
1. AFS outperforms common feature selection methods,
demonstrating the powerful potential of the AM in feature
selection. Similarly, AFS-O shows higher average scores on
all metrics across the nine feature subsets compared to the
other four oversampling methods, confirming the effective-
ness of AFS-O in addressing the class imbalance problem
in binary classification tasks.
2. From the performance of AFS-O on feature subsets with
high IR, it is evident that establishing an optimal feature
subset through feature selection is a viable preprocessing
step for extreme class imbalance scenarios in classification
tasks.
3. We infer that further improvements in classifier perform-
ance in class imbalance scenarios can be achieved by com-
bining the construction of an optimal subset of features with
improvements in the SMOTE’s neighborhood partitioning
or synthesis rules.
4. AFS-O is proposed specifically for binary classification
tasks in class imbalance scenarios. Therefore, in future
work, we will consider investigating the performance of
AFS-O in multi-class tasks or prediction tasks under class
imbalance conditions.
Data availability statement
The data cannot be made publicly available upon publication
because the cost of preparing, depositing and hosting the data
would be prohibitive within the terms of this research project.
The data that support the findings of this study are available
upon reasonable request from the authors.
Acknowledgments
Innovation Program of Wuhan-Shuguang
Knowledge
Project under Grant No. 2022010801020252, Guidance
Project of Science and Technology Research Program of
Hubei Provincial Department of Education under Grant
No. B2021107. Open Project of State Key Laboratory
of Intelligent Manufacturing Equipment and Technology
IMETKF2023011.
ORCID iD
Zhongze Han https://orcid.org/0009-0004-2953-971X
References
[1] Cheng C, Liu W, Wang W and Pecht M 2021 A novel deep
neural network based on an unsupervised feature learning
method for rotating machinery fault diagnosis Meas. Sci.
Technol. 32 095013
[2] Xu S, Yuan R, Lv Y, Hu H, Shen T and Zhu W 2023 A novel
fault diagnosis approach of rolling bearing using intrinsic
feature extraction and CBAM-enhanced InceptionNet
Meas. Sci. Technol. 34 105111
[3] Zio E 2022 Prognostics and health management (PHM): where
are we and where do we (need to) go in theory and practice
Reliab. Eng. Syst. Saf. 218 108119
[4] Yang D, Karimi H R and Gelman L 2023 An explainable
intelligence fault diagnosis framework for rotating
machinery Neurocomputing 541 126257
[5] Liu Y, Wen W, Bai Y and Meng Q 2023 Self-supervised
feature extraction via time–frequency contrast for
intelligent fault diagnosis of rotating machinery
Measurement 210 112551
[6] Ma S, Han Q and Chu F 2023 Sparse representation learning
for fault feature extraction and diagnosis of rotating
machinery Expert Syst. Appl. 232 120858
[7] Zhu Z, Lei Y, Qi G, Chai Y, Mazur N, An Y and Huang X
2023 A review of the application of deep learning in
intelligent fault diagnosis of rotating machinery
Measurement 206 112346
[8] Zou L, Zhuang K J, Zhou A and Hu J 2023 Bayesian
optimization and channel-fusion-based convolutional
autoencoder network for fault diagnosis of rotating
machinery Eng. Struct. 280 115708
[9] Yao J and Han T 2023 Data-driven lithium-ion batteries
capacity estimation based on deep transfer learning using
partial segment of charging/discharging data Energy
271 127033
[10] Mitici M, de Pater I, Barros A and Zeng Z 2023 Dynamic
predictive maintenance for multiple components using
data-driven probabilistic RUL prognostics: the case of
turbofan engines Reliab. Eng. Syst. Saf. 234 109199
[11] Haixiang G, Yijing L, Shang J, Mingyun G, Yuanyue H and
Bing G 2017 Learning from class-imbalanced data:
review of methods and applications Expert Syst. Appl.
73 220–39
[12] Jamal M A, Brown M, Yang M H, Wang L and Gong B (eds)
2020 Rethinking class-balanced methods for long-tailed
visual recognition from a domain adaptation perspective
2020 IEEE/CVF Conf. on Computer Vision and Pattern
Recognition (CVPR) 13–19 June 2020
[13] Zhao M, Fu X, Zhang Y, Meng L and Tang B 2022 Highly
imbalanced fault diagnosis of mechanical systems based on
wavelet packet distortion and convolutional neural networks
Adv. Eng. Inf. 51 101535
[14] Wang X, Jiang H, Wu Z and Yang Q 2023 Adaptive variational
autoencoding generative adversarial networks for rolling
bearing fault diagnosis Adv. Eng. Inf. 56 102027
[15] Tao X, Guo X, Zheng Y, Zhang X and Chen Z 2023
Self-adaptive oversampling method based on the
complexity of minority data in imbalanced datasets
classification Knowl.-Based Syst. 277 110795
[16] Liu Y, Liu Y, Yu B X B, Zhong S and Hu Z 2023 Noise-robust
oversampling for imbalanced data classification Pattern
Recognit. 133 109008
[17] Bowyer K W, Chawla N V, Hall L O and Kegelmeyer W P
2011 SMOTE: synthetic minority over-sampling technique
CoRR (arXiv:1106.1813v1)
[18] Li J, Zhu Q, Wu Q and Fan Z 2021 A novel oversampling
technique for class-imbalanced learning based on SMOTE
and natural neighbors Inf. Sci. 565 438–55
14
Meas. Sci. Technol. 35 (2024) 035002
Z Han et al
[19] Meng D and Li Y 2022 An imbalanced learning method by
combining SMOTE with center offset factor Appl. Soft
Comput. 120 108618
[20] Kim J, Kang J and Sohn M 2021 Ensemble learning-based
filter-centric hybrid feature selection framework for
high-dimensional imbalanced data Knowl.-Based Syst.
220 106901
[21] Hosseini E S and Moattar M H 2019 Evolutionary feature
subsets selection based on interaction information for high
dimensional imbalanced data classification Appl. Soft
Comput. 82 105581
[22] Liu J and Zio E 2019 Integration of feature vector selection
and support vector machine for classification of imbalanced
data Appl. Soft Comput. 75 702–11
[23] Wang Z, Jia P, Xu X, Wang B, Zhu Y and Li D 2021 Sample
and feature selecting based ensemble learning for
imbalanced problems Appl. Soft Comput. 113 107884
[24] Chandrashekar G and Sahin F 2014 A survey on feature
selection methods Comput. Electr. Eng. 40 16–28
[25] Taherkhani A, Cosma G and McGinnity T M 2018 Deep-FS:
a feature selection algorithm for deep Boltzmann machines
Neurocomputing 322 22–37
[26] Ahmeto˘glu H and Das¸ R (eds) 2020 Analysis of feature
selection approaches in large scale cyber intelligence data
with deep learning 2020 28th Signal Processing and
Communications Applications Conf. (SIU) 5–7 October
2020
[27] Haueise T, Liebgott A and Yang B (eds) 2022 A comparative
study on the potential of unsupervised deep learning-based
feature selection in radiomics 2022 44th Annual Int. Conf.
IEEE Engineering in Medicine & Biology Society (EMBC)
11–15 July 2022
[28] Lakshmanarao A, Srisaila A and Kiran T S R (eds) 2022
Machine learning and deep learning framework with feature
selection for intrusion detection 2022 Int. Conf. on
Communication, Computing and Internet of Things (Ic3iot)
10–11 March 2022
[29] Lv H, Chen J, Pan T, Zhang T, Feng Y and Liu S 2022
Attention mechanism in intelligent fault diagnosis of
machinery: a review of technique and application
Measurement 199 111594
[30] Robnik-ˇSikonja M and Kononenko I 2003 Theoretical and
Empirical analysis of ReliefF and RReliefF Mach. Learn.
53 23–69
[31] Maldonado S, Vairetti C, Fernandez A and Herrera F F W
2022 SMOTE: a feature-weighted oversampling approach
for imbalanced classification Pattern Recognit. 124 108511
[32] Li Y, Wang Y, Li T, Li B and Lan X S P 2021 SMOTE: a novel
space partitioning based synthetic minority oversampling
technique Knowl.-Based Syst. 228 107269
[33] Han H, Wang W-Y and Mao B-H (eds) Borderline-SMOTE: a
new over-sampling method in imbalanced data sets learning
Advances in Intelligent Computing; 2005 2005 (Springer)
[34] Haibo H, Yang B, Garcia E A and Shutao L (eds) 2008
ADASYN: adaptive synthetic sampling approach for
imbalanced learning 2008 IEEE Int. Joint Conf. on Neural
Networks (IEEE World Congress on Computational
Intelligence) 1–8 June 2008
[35] Sharma A, Singh P K and Chandra R 2022 SMOTified-GAN
for class imbalanced pattern classification problems IEEE
Access 10 30655–65
[36] Dablain D, Krawczyk B and Chawla N V 2022 DeepSMOTE:
fusing deep learning and SMOTE for imbalanced data IEEE
Trans. Neural Netw. Learn. Syst. 34 1–15
[37] Douzas G and Bacao F 2019 Geometric SMOTE a
geometrically enhanced drop-in replacement for SMOTE
Inf. Sci. 501 118–35
[38] Wang T, Liu Z, Ou W and Huo H 2023 Domain adaptation
based on feature fusion and multi-attention mechanism
Comput. Electr. Eng. 108 108726
[39] Zheng J, Zhu J and Xi H 2023 Short-term energy consumption
prediction of electric vehicle charging station using
attentional feature engineering and multi-sequence stacked
gated recurrent unit Comput. Electr. Eng. 108 108694
[40] Jiang Y, Chen Y, Yang F and Peng W 2023 State of health
estimation of lithium-ion battery with automatic feature
extraction and self-attention learning mechanism J. Power
Sour. 556 232466
[41] Paul D, Bardhan S, Saha S and Mathew J M L 2023
KnockoffGAN: deep online feature selection for multi-label
learning. Knowl.-Based Syst. 271 110548.
[42] Ye Z and Yu J 2021 Deep morphological convolutional
network for feature learning of vibration signals and its
applications to gearbox fault diagnosis Mech. Syst. Signal
Process. 161 107984
[43] Zhang K, Tang B, Deng L and Liu X 2021 A hybrid attention
improved ResNet based fault diagnosis method of wind
turbines gearbox Measurement 179 109491
[44] Zhou H, Huang X, Wen G, Lei Z, Dong S, Zhang P and
Chen X 2022 Construction of health indicators for
condition monitoring of rotating machinery: a review of the
research Expert Syst. Appl. 203 117297
[45] Miao Y, Zhao M, Lin J and Lei Y 2017 Application of an
improved maximum correlated kurtosis deconvolution
method for fault diagnosis of rolling element bearings
Mech. Syst. Signal Process. 92 173–95
[46] Lei Y, Yang B, Jiang X, Jia F, Li N and Nandi A K 2020
Applications of machine learning to machine fault
diagnosis: a review and roadmap Mech. Syst. Signal
Process. 138 106587
[47] Lei Y, He Z and Zi Y 2011 EEMD method and WNN for fault
diagnosis of locomotive roller bearings Expert Syst. Appl.
38 7334–41
[48] Yang B, Lei Y, Jia F and Xing S 2019 An intelligent fault
diagnosis approach based on transfer learning from
laboratory bearings to locomotive bearings Mech. Syst.
Signal Process. 122 692–706
[49] Lei Y, He Z, Zi Y and Hu Q 2007 Fault diagnosis of rotating
machinery based on multiple ANFIS combination with GAs
Mech. Syst. Signal Process. 21 2280–94
[50] Wang B, Lei Y, Li N, Li N and Hybrid Prognostics A 2020
Approach for estimating remaining useful life of rolling
element bearings IEEE Trans. Reliab. 69 401–12
[51] Goodfellow I, Pouget-Abadie J, Mirza M, Xu B,
Warde-Farley D, Ozair S, Courville A and Bengio Y (eds)
2014 Generative adversarial nets Neural Inf. Process. Syst.
15
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10.1371_journal.pone.0255730.pdf
|
Data Availability Statement: All relevant data are
within the manuscript.
|
All relevant data are within the manuscript.
|
RESEARCH ARTICLE
Glycemic profile and associated factors in
indigenous Munduruku, Amazonas
Hanna Lorena Moraes GomesID
Oliveira Cordeiro1, Zilmar Augusto de Souza Filho1, Noeli das Neves Toledo1, Evelyne
Marie Therese MainbourgID
2, Anto´ nio Manuel Sousa3, Gilsirene Scantelbury de Almeida1
1*, Neuliane Melo Sombra1, Eliza Dayanne de
1 Manaus School of Nursing, Federal University of Amazonas, Manaus, Brazil, 2 Leoˆ nidas & Maria Deane
Institute / FIOCRUZ Amazoˆ nia, Manaus, Brazil, 3 Amazonas State University, Manaus, Brazil
a1111111111
a1111111111
a1111111111
a1111111111
a1111111111
* hannahlorena.mg@gmail.com
Abstract
Objective
OPEN ACCESS
Citation: Gomes HLM, Sombra NM, Cordeiro
EDdO, Filho ZAdS, Toledo NdN, Mainbourg EMT, et
al. (2021) Glycemic profile and associated factors
in indigenous Munduruku, Amazonas. PLoS ONE
16(9): e0255730. https://doi.org/10.1371/journal.
pone.0255730
Editor: Fernando Guerrero-Romero, Mexican
Social Security Institute, MEXICO
Received: January 9, 2021
Accepted: July 22, 2021
Published: September 3, 2021
Peer Review History: PLOS recognizes the
benefits of transparency in the peer review
process; therefore, we enable the publication of
all of the content of peer review and author
responses alongside final, published articles. The
editorial history of this article is available here:
https://doi.org/10.1371/journal.pone.0255730
Copyright: © 2021 Gomes et al. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
Data Availability Statement: All relevant data are
within the manuscript.
Funding: This study received funding approved by
the National Council for Scientific and
To evaluate the glycemic profile and its association with sociodemographic, anthropometric,
clinical and lifestyle factors of Munduruku indigenous people.
Method
Cross-sectional study with a quantitative and analytical approach, a total of 459 indigenous
people (57.1% men, aged 36.3 ± 14.7 years old) belonging to the Munduruku ethnic group
from the Kwata´ -Laranjal Indigenous Land, in Amazonas, Brazil, were selected by probabilis-
tic sampling in all households in the four most populous villages. Sociodemographic and
anthropometric variables, blood pressure levels and lipid profile were evaluated. Fasting
capillary blood glucose was measured with a digital device. The associations were
assessed by multinomial logistic regression, and p-values�0.05 were considered
significant.
Results
For pre-diabetes, prevalence was 74.3% and, for diabetes, 12.2%. The variables associated
with the risk for pre-diabetes were the following: age (OR = 1.03; 95% CI = 1.00 – 1.06) and
obesity (OR = 9.69; 95% CI = 1.28 – 73.58). The positive associations indicating risk for dia-
betes were as follows: age (OR = 1.05; 95% CI = 1.03 – 1.08), overweight (OR = 4.17; 95%
CI = 1.69 – 10.32) and obesity (OR = 35.26; 95% CI = 4.12 – 302.08).
Conclusions
The risks associated with pre-diabetes and diabetes among the Munduruku indigenous peo-
ple revealed a worrying index. It is necessary to consider changes in eating habits and life-
style, as well as possible environmental and social changes that can affect this and other
groups, with emphasis on those who live in vulnerable conditions.
PLOS ONE | https://doi.org/10.1371/journal.pone.0255730 September 3, 2021
1 / 16
PLOS ONETechnological Development (CNPq) (Proc. 424053
/ 2016-0) and with funding from the Scientific
Article Publication Support Program (PAPAC) and
the Post Support Program -Graduation
(PROSGRAD), both of these are programs of the
Amazonas Research Support Foundation -
FAPEAM. Funders had no role in the study design,
data collection, analysis, decision to publish or
preparation of the manuscript.
Competing interests: The authors have declared
that no competing interests exist.
Glycemic profile and associated factors in indigenous Munduruku, Amazonas.
Introduction
The changes in the globalized world, as a result of the urbanization and industrialization pro-
cesses, brought about changes in habits and lifestyles, contributing to the increase of chronic
non-communicable diseases, among which we can highlight cardiovascular diseases. These
same impacts permeate the indigenous populations, through transitions in life, economic and
sociocultural habits, and in their own lifestyle [1, 2].
The destruction of the ecosystems that the Brazilian Indigenous Lands are facing, together
with the acceleration of the urbanization process, sedentary lifestyle, changes in the diet, obe-
sity and easy access to cities, contribute significantly to the transformations of the daily lives of
indigenous populations, leaving them more vulnerable to certain diseases, which contributes
to the increase of Chronic Non-communicable Diseases (CNCDs) [3, 4].
Social indicators of a national scope classify the North Region as belonging to Class “E” of
social vulnerability, as it consists of extensive rural areas, low demographic density, with a very
low human development index, precarious access to treated water, sewage and electricity,
among other negative results. Compared with the South and Southeast regions of the country,
the North has less capacity to respond to health problems, in terms of Health Care Network
structure [5].
Deaths due to non-communicable diseases (NCDs) represented the highest percentage:
73.4% (95% uncertainty interval [UI] = 72.5 – 74.1) in 2017. In relation to 2007, there was a
22.7% (21.5 – 23.9) increase, equivalent to 7.21 million (7.20 – 8.01) of estimated additional
deaths. There was a major increase in years of life lost due to neoplasms and cardiovascular
diseases.
In the general population, cardiovascular diseases (CVDs) are part of the group of main
causes of mortality. In 2016, approximately 17.9 million people died due to CVDs worldwide.
From this perspective, diabetes mellitus (DM) stands out as a highly prevalent health problem
and one of the main risk factors for CVDs [6–8].
DM is configured as a "metabolic disorder" characterized by persistent hyperglycemia,
resulting from a deficit in the production of insulin or in its action, or even in both mecha-
nisms, leading to long-term complications” (SBD, pg. 19). Data from the International Diabe-
tes Federation point out that, in the world, 8% of adults lived with DM in 2017. DM is a
growing and important health problem that affects the population of all countries, being
responsible for 4 million deaths worldwide in a single year [9, 10].
It is believed that changes in the social, economic and political scopes of indigenous Brazi-
lians may have favored changes in their lifestyle and in their epidemiological profile [1]. In the
Brazilian indigenous population, the first cases of DM began to be investigated from the 1970s,
when the prevalence of diabetes was non-existent [1].
In the state of Mato Grosso do Sul, several studies were carried out with the Terena, Gua-
rani and Kaiowa´ indigenous peoples, where it was found that 4.5% had DM in 2007 and 2008
[11]. Another two studies carried out in the same population found a prevalence rate of 5.8%
in the period from 2009 to 2011, and of 4.5% in 2008 and 2009 [12]. In 2013, among 385 Ter-
ena and Guarani women from the same region, 7% presented altered capillary glycaemia sug-
gestive of DM [13]. Among the Guarani and Tupinikin (ES), in 2003 and 2004, the prevalence
of DM was 4.5% [14]. In Khisêdjê in 2010 and 2011, prevalence was 3.8% [15]. The highest
prevalence rate of DM among indigenous people in Brazil was found among the Xavante in
the state of Mato Grosso (n = 948): 25.9% [16].
The data presented show that diabetes has been growing in indigenous populations [17]
and that is worsened by the increased consumption of industrialized food products, social
problems linked to the economy and the increasingly frequent contact with the non-
PLOS ONE | https://doi.org/10.1371/journal.pone.0255730 September 3, 2021
2 / 16
PLOS ONEGlycemic profile and associated factors in indigenous Munduruku, Amazonas.
indigenous population [1, 17]. Considering that most of the studies refer to ethnicities in the
Brazilian Midwest Region, the objective of the study was to assess the glycemic profile and its
association with sociodemographic, anthropometric, clinical and lifestyle factors of Mundur-
uku indigenous people from the state of Amazonas, Brazilian North Region.
Method
Study locus and population
The study was carried out in the Kwata´-Laranjal indigenous land (Fig 1), located in the munic-
ipality of Borba, state of Amazonas, in the Brazilian North Region. The study population con-
sisted of individuals from the Munduruku ethnic group who live in the villages of Laranjal,
Mucaja´, Kwata´ and Fronteira, members of the Kwata´-Laranjal Indigenous Land, aged between
18 and 80 years old, and of both genders. According to population data, released by the Special
Indigenous Sanitary District of Manaus in 2018, the total population over 18 years old of both
genders living in these four villages consisted in 635 inhabitants, divided as follows: 195 in
Mucaja´, 118 in Laranjal, 186 in Kwata´ and 136 in Fronteira.
Fig 1. Geographic location of the Kwata´-Laranjal Indigenous Land.
https://doi.org/10.1371/journal.pone.0255730.g001
PLOS ONE | https://doi.org/10.1371/journal.pone.0255730 September 3, 2021
3 / 16
PLOS ONEGlycemic profile and associated factors in indigenous Munduruku, Amazonas.
Study participants
The following was accepted for sample calculation: 50.0% proportion of the indigenous popu-
lation and the prevalence values of diabetes pointed out by the Guidelines of the Brazilian Dia-
betes Society and by the study by Soares et al. [9, 18]. The error margin adopted was 5%, 95%
confidence interval, and 10% for losses. The sample consisted of 459 individuals belonging to
the Munduruku ethnicity, from the villages of Mucaja´ (n = 129), Laranjal (n = 93), Kwata´
(n = 136) and Fronteira (n = 101).
The four most populous villages in the Kwata´-Laranjal Indigenous Land (Mucaja´, Laranjal,
Kwata´ and Fronteira) were chosen. Probabilistic sampling of individuals per household was
carried out, in which all members had an equal chance of participating in the study. The study
included indigenous people belonging to the Munduruku ethnic group, aged � 18 years old
and living in the selected villages. It is noted that all the Munduruku indigenous people drawn
to participate in this study were able to fluently communicate in the Portuguese language.
Only those who were ill and pregnant were excluded from the sample.
Data collection
Before starting data collection in the Kwata´-Laranjal Indigenous Land, the team of women
researchers visited the four villages included in this study, which allowed for previous contact
with the local indigenous leaders, closer contact with the health professionals who served in
those villages, and holding a meeting with the indigenous people to present the research objec-
tives and method.
For the data collection stage, the team underwent specific training in order to standardize
the procedures for: measuring blood glucose and capillary lipids after fasting for a minimum
of eight hours, measuring blood pressure, taking anthropometric measurements and conduct-
ing the interview.
At the beginning of data collection, the residents were invited again to be informed about
how the participants would be selected and the procedures for data collection. For each house-
hold, the research participants were selected by means of a draw. The indigenous health agent
assisted the team in locating the homes of the selected participants. The guidelines for data col-
lection were given the day before, with reinforcement regarding the location, day, time and,
mainly, the need for at least 8-hour fasting.
The collection of the anthropometric data, blood pressure, blood glucose and lipids was
always performed at dawn. Before starting the collection of blood drops from the digit pulp,
the indigenous people were asked at what time they had their last meal. Those who reported
breaking the fast were rescheduled for the following day and re-oriented.
In relation to the tests of capillary blood glucose and lipid levels, the equipment used were
as follows: Active portable digital device from the Accu-Chek1 manufacturer for the measure-
ment of capillary blood glucose and the Accutrend1 Plus device for the measurement of cho-
lesterol and triglycerides, both manufactured by Roche Diagno´stica, with their respective test
strips (Accutrend1 Cholesterol and Accutrend1 Triglycerides). The cut-off points used to
assess and classify fasting capillary glucose were as follows: normal < 100 mg/dL, pre-
diabetes � 100 mg/dL and < 126 mg/dL and diabetes � 126 mg/dL [9]. For the lipid levels, the
classification was the following: hypercholesterolemia when � 240 mg/dL and hypertriglyceri-
demia when � 175 mg/dL [19].
The following was used for the evaluation of the anthropometric measures: digital bioimpe-
dance scale (OMRON HBF-514C), portable stadiometer (ALTURA EXATA) and inelastic
measuring tape. The neck circumference measurement was taken at the smallest neck circum-
ference, just above the laryngeal prominence. The waist circumference measurement was
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PLOS ONEGlycemic profile and associated factors in indigenous Munduruku, Amazonas.
taken at the midpoint between the last rib and the lateral iliac crest, around the narrowest part
of the trunk. The taper index was determined, according to its definition, from the measure-
ments of weight, height and waist circumference. Both BMI and Body Fat Percentage were
assessed using the bioimpedance technique.
The cut-off points adopted to classify neck circumference measurements were as follows: �
37 cm for men and � 34 cm for women; and those for waist circumference were: � 102 cm for
men and � 88 cm for women [20]. For the taper index, the adopted values were: � 1.25 for
men and � 1.18 for women. As for the Body Mass Index (BMI), it was classified as: low weight
(< 18.5 kg/m2), normal weight (18.5 kg/m2-24.9 kg/m2), overweight (25.0 kg/m2-29.9 kg/m2)
and obesity (� 30.0 kg/m2) [21]. The classification of body fat percentage considered the fol-
lowing stratification by age group and gender: low (< 8.0%-< 13.0% for men and < 21.0%-<
30.0% for women), normal (13.0%-24.9% for men and 30.0%-� 35.9% for women) and high
(� 25.0% for men and � 36.0% for women).
Blood pressure levels were measured on the left arm, using an automatic professional blood
pressure monitor (OMRON/Model HBP-1100), properly calibrated. The procedures to per-
form the measurement and classification of blood pressure were conducted according to the
Brazilian Hypertension Directive. The following cut-off points were considered: pre-hyperten-
sion when systolic blood pressure levels are between 140 mmHg and 159 mmHg and/or when
the diastolic blood pressure is between 90 mmHg and 99 mmHg; hypertension when the value
is � 180 mmHg in systolic pressure and/or � 110 mmHg in diastolic pressure. Alternatively,
hypertension could be self-reported, if the indigenous participants reported having been diag-
nosed with hypertension by a physician or if they were taking some antihypertensive medica-
tion, regardless of the blood pressure values measured in the interview [22].
For the assessment of lifestyle, the level of physical activity was investigated using the IPAC
(International Physical Activity Questionnaire), in its short version, an instrument validated
with translation into the Portuguese language. The IPAQ allows quantifying the total minutes
spent in weekly physical activities and surveying the distribution of time by intensity of the
physical activity practiced. The level of physical activity was classified according to the instru-
ment. To assess the intake of alcoholic beverages, the Alcohol Use Disorder Identification Test
(AUDIT) questionnaire was used, allowing the identification of risk and harmful consumption
and of probable dependence on alcohol in the past 12 months.
A form consisting of closed questions related to the following variables was applied: gender,
age, marital status, schooling, paid work, social benefit received, monthly family income, self-
reported hypertension and/or consumption of antihypertensive medications, smoking, level of
physical activity, alcohol consumption and family history of cardiovascular diseases.
The participants who presented changes in capillary glycaemia, triglycerides, total choles-
terol or/and blood pressure, as well as those who were obese were referred directly to the care
provided by the health team at the Base Center (reference health unit, belonging to the Indige-
nous Health Sub-System) for evaluation and monitoring. For the changes in the anthropomet-
ric markers, this information was passed on to the health professionals working in the
respective Base Center.
Statistical analysis
The analysis of the data collected was performed by means of the R software, version 3.5.1. The
Kolmogorov-Smirnov test was used to verify normal distribution of the data. In this way, the
continuous variables were presented using means and standard deviations; and the categorical
variables, with absolute and relative frequencies. For the continuous variables, the Kruskal-
Wallis test was used; and for categorical ones, Fisher’s Exact test. The significance level was set
PLOS ONE | https://doi.org/10.1371/journal.pone.0255730 September 3, 2021
5 / 16
PLOS ONEGlycemic profile and associated factors in indigenous Munduruku, Amazonas.
at 5%. The Wald test was used for the multinomial logistic regression analysis. To verify the
association between the dependent variables (pre-diabetes and diabetes) and the independent
variables of the study, Odds Ratios (ORs) were estimated based on the multinomial regression
model and the respective 95% confidence interval (CI). For this being a multifactorial phe-
nomenon, the independent variables were grouped in blocks (sociodemographic, lifestyle and
anthropometric and clinical factors) and analyzed hierarchically.
Ethical aspects
The data were collected from August to September 2018, after the consent of the leaders of the
Kwata´-Laranjal Indigenous Land, approval by the National Research Ethics Commission
(CAAE 74361617.2.0000.5020), and authorization for entry into indigenous lands of the Min-
istry of Justice National Indian Foundation (43/AAEP/PRES/2018). All the indigenous people
who agreed to participate in the study signed the Free and Informed Consent Form.
Results
As shown in Table 1, the profile of the glycemic levels of the 459 indigenous Munduruku indi-
cates that 86.5% had high serum levels of fasting capillary glycaemia, with 74.3% being sugges-
tive of pre-diabetes and 12.2% of diabetes.
As for the sociodemographic factors, it was observed that 57.1% were men, with a mean age
of 36.6 years old, most with a partner, and 9.6% not having any schooling level. A little over
half of them were unemployed and 61.7% received some social benefit from the Brazilian fed-
eral government. In this way, most of the Munduruku indigenous people had a monthly family
income of up to US$ 470.67.
The general anthropometry assessment allowed identifying that the indigenous people had
high mean values of neck circumference, waist circumference and taper index. The mean BMI
indicated excess weight, in addition to the majority presenting high body fat percentages.
In relation to the clinical factors of the Munduruku indigenous people, the mean pressure
levels indicated normality, but 10.2% presented high levels of systolic and diastolic blood pres-
sure, suggestive of hypertension. Regarding the serum triglyceride levels, the indigenous popu-
lation presented a high mean value but, for total cholesterol, the mean remained within
normal limits.
Regarding the indigenous people’s lifestyle, there was a high prevalence of alcohol con-
sumption (71.2%) and smoking (54.2%), as well as a low prevalence of sedentary lifestyle
(7.6%). It is worth mentioning that most of the indigenous people reported having a family his-
tory of hypertension and diabetes.
Table 1 also shows that the group of Munduruku indigenous people with diabetes presented
statistically significant differences when compared to the other groups, in greater proportion
having some paid work and, in a smaller proportion, receiving some social benefit. The group
of diabetics presents higher values regarding age, mean in the anthropometric markers, preva-
lence of obesity and body fat, prevalence of pre-hypertension and hypertension, mean of tri-
glycerides and total cholesterol, as well as family members with diabetes or/and stroke.
Table 2 shows the unadjusted multinomial logistic regression model. The association of
pre-diabetes with age showed that, for every one-year-old increase in the age of the indigenous
Munduruku, their chance of becoming pre-diabetic increases by 4%. It is also worth noting
that the indigenous people without a partner had a lower risk of being pre-diabetic (OR = 0.55
[95% CI = 0.32 – 0.96]).
As for the association of pre-diabetes with the anthropometric factors, it was observed that,
with a one-centimeter increase in waist circumference (OR = 1.07 [95% CI = 1.03 – 1.10]), in
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6 / 16
PLOS ONETable 1. Categorization of the glycemic profile of indigenous Munduruku according to the sociodemographic and anthropometric variables, clinical factors, habits
and lifestyle, and family history.
Glycemic profile and associated factors in indigenous Munduruku, Amazonas.
Variables
Sociodemographic Factors
Gender
Female
Male
Age (years old), mean (SD)
Marital Status
Has a partner
No partner
Schooling
Illiterate
Elementary School
High School
Higher Education or Postgraduate
Paid work
Yes
No
Social benefit
Yes
No
Monthly family income (minimum wagea)
Does not have
<1 minimum wage (US$ 235.34)
1 - 2 minimum wages (US$ 235.35 – US$ 470.67)
3 - 4 minimum wages (US$ 706.01 – US$ 941.35)
� 5 minimum wages (US$ 1,176)
Anthropometric Factors
Neck circumference (cm), mean (SD)
Waist circumference (cm), mean (SD)
Taper index, mean (SD)
BMI (kg/m2), mean (SD)
BMI classification
Low weight (< 18.5 kg/m2)
Normal weight (18.5–24.9 kg/m2)
Overweight (25.0–29.9 kg/m2)
Obesity (�30 kg/m2)
Body fat classification
Low (<8.0%-<13.0% men/<21.0%-<30.0% women)
Normal (13.0%-24.9% men/30.0%-�35.9% women)
High (�25.0% men; �36.0% women)
Clinical Factors
Systolic blood pressure, SBP (mmHg), mean (SD)
Diastolic blood pressure, DBP (mmHg), mean (SD)
Blood pressure classification
Normal
N (%)
62 (13.5)
Glycemic Profile
Pre-diabetes
N (%)
337 (74.3)
Diabetes
N (%)
60 (12.2)
Total
N (%)
459 (100)
22 (35.5)
40 (64.5)
147 (43.6)
190 (56.4)
28 (46.7)
32 (53.3)
197 (42.9)
262 (57.1)
30.2 (±11.2)
36.5 (±14.8)
44.1 (±14.0)
36.6 (±14.7)
35 (56.5)
27 (43.5)
3 (4.8)
19 (30.6)
30 (48.4)
10 (16.1)
22 (35.5)
40 (64.5)
43 (69.4)
19 (30.6)
21 (26.2)
30 (37.5)
22 (27.5)
6 (7.5)
1 (1.3)
35.5 (±3.3)
79.5 (±7.9)
1.20 (±0.08)
23.6 (±2.8)
1 (1.6)
42 (67.7)
18(29.0)
1 (1.6)
1 (1.6)
35 (56.5)
26 (41.9)
236 (70.0)
101 (30.0)
30 (8.9)
134 (39.8)
128 (38.0)
45 (13.4)
138 (40.9)
199 (59.1)
211 (62.6)
126 (37.4)
7 (2.2)
134 (41.7)
115 (35.8)
49 (15.3)
16 (5.0)
36.2 (±3.3)
85.1 (±10.1)
1.24 (±0.09)
25.7 (±4.0)
4 (1.2)
158 (46.9)
127 (37.7)
48 (14.2)
7/337 (2.1)
126 (37.4)
204 (60.5)
41 (68.3)
19 (31.7)
11 (18.3)
22 (36.7)
19 (31.7)
8 (13.3)
34 (56.7)
26 (43.3)
29 (48.3)
31 (51.7)
1 (1.7)
21 (36.2)
24 (41.4)
11 (19.0)
1 (1.7)
312 (68.0)
147 (32.0)
44 (9.6)
175 (38.1)
177 (38.6)
63 (13.7)
194 (42.3)
265 (57.7)
283 (61.7)
176 (38.3)
29 (6.3)
185 (40.3)
161 (35.1)
66 (14.4)
18 (3.9)
37.7 (±3.2)
92.2 (±8.7)
1.29 (±0.07)
28.0 (±3.6)
36.3 (±3.3)
85.3 (±10.2)
1.24 (±0.09)
25.8 (±4.0)
0 (0)
12 (20.0)
31 (51.7)
17 (28.3)
0 (0)
7 (11.7)
53 (88.3)
5 (1.1)
212 (46.2)
176 (38.3)
66 (14.4)
8 (1.7)
168 (36.6)
283 (61.7)
p-value
0.404
<0.001
0.109
0.116
0.039
0.045
0.708
0.001
<0.001
<0.001
<0.001
<0.001
< 0.001
<0.001
110.0 (±12.2)
63.6 (±8.2)
113.6 (±15.0)
66.5 (±8.4)
121.2 (±16.9)
70.4 (±8.8)
114.1 (±15.2)
66.6 (±8.6)
<0.001
<0.001
0.001
(Continued )
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7 / 16
PLOS ONETable 1. (Continued)
Variables
Normal (SBP of �120–129 mmHg/DBP �80–84 mmHg)
Pre-hypertension (SBP of �130 mmHg-139 mmHg/BPD �80–89 mmHg)
Hypertension (SBP of �140 mmHg/DBP �90 mmHg)
Triglycerides (mg/dL)
Total cholesterol (mg/dL)
Lifestyle
Smoker
Yes
No
Level of physical activity
Sedentary
Irregularly active
Active
Very active
Alcohol Consumption
Low risk consumption
Risk intake, harmful or probable dependence
Family history
Hypertension
Diabetes
Stroke
Glycemic profile and associated factors in indigenous Munduruku, Amazonas.
Normal
N (%)
62 (13.5)
59 (95.2)
1 (1.6)
2 (3.2)
Glycemic Profile
Pre-diabetes
N (%)
337 (74.3)
294 (87.2)
12 (3.6)
31 (9.2)
Diabetes
N (%)
60 (12.2)
40 (66.7)
6 (10.0)
14 (23.3)
Total
N (%)
459 (100)
393 (85.6)
19 (4.1)
47 (10.2)
p-value
131.9 (±65.8)
171.3 (±25.5)
149.3 (±86.3)
176.5 (±32.3)
206.8 (±124.1)
189.7 (±35.4)
154.5 (±92.1)
177.5 (±32.2)
<0.001
0.003
36 (58.1)
26 (41.9)
2 (3.2)
13 (21.0)
21 (33.9)
26 (41.9)
7 (25.9)
20 (74.1)
43 (84.3)
31 (63.3)
20 (45.5)
184 (54.6)
153 (45.4)
26 (7.7)
92 (27.3)
114 (33.8)
105 (31.2)
35 (30.2)
81 (69.8)
211 (77.0)
161 (61.7)
75 (31.6)
29 (48.3)
31 (51.7)
7 (11.7)
18 (30.0)
24 (40.0)
11 (18.3)
4 (23.5)
13 (76.5)
43 (86.0)
38 (82.6)
19 (52.8)
249 (54.2)
210 (45.8)
35 (7.6)
123 (26.8)
159 (34.6)
142 (30.9)
46 (28.8)
114 (71.2)
297 (79.2)
230 (64.6)
114 (36.0)
0.542
0.125
0.800
0.222
0.023
0.018
Kwata´-Laranjal Indigenous Land, Borba, Amazonas, Brazil, 2018.
a Current minimum wage of R$ 954.00, equivalent to approximately US$ 235.34 in August 2018.
https://doi.org/10.1371/journal.pone.0255730.t001
the taper index (OR = 1.06 [95% CI = 1.02 – 1.09]) and in the BMI (OR = 1.20 [95%
CI = 1.10 – 1.32]), the indigenous people have a chances to develop pre-diabetes of 7%, 6%
and 20%, respectively. Excess weight among the indigenous people also presented an associa-
tion with pre-diabetes, since the chance of the indigenous person who presented overweight to
become pre-diabetic is 87%; and, among those who were obese, the chance becomes 12 times
greater (OR = 12.76 [95% CI = 1.71 – 95.26]). For the indigenous people with high body fat,
the risk of becoming pre-diabetics also increases the chance, but two-fold (OR = 2.18 [95%
CI = 1.25 – 3.79]).
The unadjusted analysis also indicated the association of diabetes with age, schooling, paid
work and any social benefits received. All the anthropometric variables were associated with
diabetes among the indigenous people. It is worth noting that, among the Munduruku indige-
nous people who presented overweight (OR = 6.17 [95% CI = 2.60 – 4.64]) and obesity
(OR = 61.03 [95% CI = 7.34 – 507.08]), the chances increased significantly. The clinical factors
were also associated with diabetes, such as: pre-hypertension, hypertension and an increase in
the total serum cholesterol level. On the other hand, the fact of having a Very Active level of
physical activity (OR = 0.12 [95% CI = 0.02 – 0.68]) reduces by 88% the chance of the indige-
nous Munduruku developing diabetes.
Table 3 shows the Odds Ratio adjusted for gender and age of the variables that presented
statistical significance (p�0.05) in the analyses from Table 2, considering the two outcomes
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8 / 16
PLOS ONETable 2. Unadjusted odds ratio and Confidence Interval (CI) for sociodemographic and anthropometric variables, clinical factors, lifestyle and family history asso-
ciated with pre-diabetes and diabetes among the Munduruku indigenous people.
Glycemic profile and associated factors in indigenous Munduruku, Amazonas.
Variables
Sociodemographic Factors
Gender (Ref. Female)
Male
Age (years old)
Marital Status (Ref. Has a partner)
Without partner
Schooling (Ref. Illiterate)
Elementary School
High School
Higher Education or Postgraduate
Paid work (Ref. Yes)
No
Social benefits (Ref. Yes)
No
Monthly family income (Ref. Does not have)
<1 minimum wage (US$: 235.34)
1–2 minimum wages (US$: 235.35–470.67)
3–4 minimum wages (US$: 706.01–941.35)
� 5 minimum wages (US$: 1,176)
Anthropometric Factors
Neck circumference (cm)
Waist circumference (cm)
Taper index
BMI (kg/m2)
BMI classification (Ref. Low weight/Normal weight
Overweight
Obesity
Body Fat Classification (Ref. Normal)
Low
High
Clinical Factors
Systolic blood pressure
Diastolic blood pressure
Blood Pressure Classification (Ref. Normal)
Pre-hypertension
Hypertension
Triglycerides
Total cholesterol
Habits and lifestyle
Smoker (Ref. No)
Yes
Physical activity level (Ref. Sedentary)
Irregularly active
Active
Pre-Diabetes vs Normal
Gross OR
(95% CI)
0.71 (0.40–1.25)
1.04 (1.02–1.07)
0.55 (0.32–0.96)
0.71 (0.20–2.54)
0.43 (0.12–1.49)
0.45 (0.11–1.77)
0.79 (0.45–1.39)
1.35 (0.75–2.42)
1.28 (0.25–6.45)
1.49 (0.29–7.67)
2.33 (0.39–13.91)
4.57 (0.35–59.12)
1.06 (0.98–1.15)
1.07 (1.03–1.10)
1.06 (1.02–1.09)
1.20 (1.10–1.32)
1.87 (1.03–3.40)
12.76 (1.71–95.26)
1.96 (0.23–1.65)
2.18 (1.25–3.79)
1.02 (1.00–1.04)
1.04 (1.01–1.08)
2.41 (0.31–18.88)
3.11 (0.72–13.35)
1.00 (1.00–1.01)
1.01 (1.00–1.02)
1.15 (0.67–1.99)
0.54 (0.12–2.57)
0.42 (0.09–1.89)
p-value
0.235
0.002
0.037
0.593
0.182
0.253
0.420
0.311
0.768
0.631
0.353
0.245
0.164
<0.001
0.002
<0.001
0.040
0.013
0.538
0.006
0.065
0.013
0.403
0.127
0.122
0.222
0.616
0.442
0.258
Diabetes vs Normal
Gross OR
(95% CI)
0.63 (0.30–1.30)
1.07 (1.04–1.11)
0.60 (0.29–1.26)
0.32 (0.08–1.30)
0.17 (0.04–0.70)
0.22 (0.04–1.06)
0.42 (0.20–0.87)
2.42 (1.15–5.07)
1.40 (0.12–16.47)
2.18 (0.18–25.78)
3.67 (0.27–49.30)
2.00 (0.05–78.31)
1.22 (1.09–1.37)
1.14 (1.10–1.19)
1.14 (1.09–1.19)
1.38 (1.24–1.53)
6.17 (2.60–14.64)
61.03 (7.34–507.08)
-
10.19 (3.99–26.00)
1.05 (1.02–1.08)
1.10 (1.05–1.15)
8.85 (1.03–76.36)
10.32 (2.22–47.92)
1.01 (1.00–1.01)
1.02 (1.01–1.03)
1.48 (0.72–3.02)
0.40 (0.07–2.22)
0.33 (0.06–1.75)
p-value
0.211
<0.001
0.177
0.111
0.014
0.059
0.020
0.019
0.789
0.536
0.327
0.711
<0.001
<0.001
<0.001
<0.001
<0.001
<0.001
-
<0.001
<0.001
<0.001
0.047
0.003
<0.001
0.004
0.283
0.292
0.191
(Continued )
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PLOS ONEGlycemic profile and associated factors in indigenous Munduruku, Amazonas.
Table 2. (Continued)
Variables
Very active
Pre-Diabetes vs Normal
Gross OR
(95% CI)
0.31 (0.07–1.39)
Consumption of Alcohol Beverages (Ref. Low risk consumption)
Risk intake, harmful or probable dependence
1.10 (0.46–2.60)
Family History
Hypertension (Ref. No)
Yes
Diabetes (Ref. No)
Yes
Stroke (Ref. No)
Yes
0.62 (0.28–1.39)
0.93 (0.50–1.76)
0.56 (0.29–1.07)
Kwata´-Laranjal Indigenous Land, Borba, Amazonas, Brazil, 2018.
https://doi.org/10.1371/journal.pone.0255730.t002
p-value
0.127
0.831
0.250
0.834
0.078
Diabetes vs Normal
Gross OR
(95% CI)
0.12 (0.02–0.68)
1.78 (0.49–6.43)
1.14 (0.38–3.43)
2.76 (1.06–7.19)
1.34 (0.55–3.24)
p-value
0.016
0.378
0.812
0.038
0.515
(pre-diabetes and diabetes). Thus, it is noteworthy that pre-diabetes was associated with
increasing age, BMI and obesity. And diabetes remained associated with increasing age, BMI,
overweight and obesity.
Discussion
The prevalence of diabetes among the Munduruku indigenous people (12.2%) was higher than
that found in other studies with indigenous populations, such as the Guarani, Kaiowa´ and Ter-
ena, from Dourados (Mato Grosso do Sul) (4.5%), Aymara, in Chile (1.5%) and was lower
when compared to the Xavante indigenous people (25.9%) from Mato Grosso and to the Pima
indigenous people from the state of Arizona (USA) [11, 16, 23, 24].
The largest participation in the study corresponded to the male gender (57.1%), unlike
studies on cardiovascular risk carried out with other indigenous populations, such as: Xavante
(49.2%) [18], Mura (42.2%) [25], Guarani-Kaiowa´ and Terena (44.2%) [11].
The mean age revealed that the Munduruku indigenous people were young adults: 36.6
years old (±14.7). A number of studies indicate that age is an important indicator for cardio-
vascular risk factors, especially for diabetes [18, 26, 27]. This study revealed that age presented
a positive and significant association with the glycemic profile and, under this perspective, a
study carried out with the Terena and Guarani indigenous peoples in 2016 also presented the
same association [13].
Table 3. Odds ratio adjusted for gender and age and confidence interval (CI) for sociodemographic and anthropometric variables, clinical factors, habits and life-
style and family history associated with pre-diabetes and diabetes among the Munduruku indigenous people.
Variables
Age (years old)
BMI (kg/m2)
Overweight
Obesity
Pre-Diabetes vs Normal
Adjusted OR (95% CI)
1.03 (1.00–1.06)
1.16 (1.06–1.28)
1.48 (0.79–2.77)
9.26 (1.22–70.45)
p-value
0.032
0.002
0.226
0.032
Diabetes vs Normal
Adjusted OR (95% CI)
1.05 (1.02–1.08)
1.28 (1.14–1.43)
4.07 (1.65–10.04)
29.14 (3.38–251.04)
p-value
0.004
<0.001
0.002
0.002
Kwata´-Laranjal Indigenous Land, Borba, Amazonas, Brazil, 2018.
https://doi.org/10.1371/journal.pone.0255730.t003
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PLOS ONEGlycemic profile and associated factors in indigenous Munduruku, Amazonas.
In relation to the socioeconomic conditions, the findings show a high proportion of low-
income individuals: 46.6% with a family income of less than US$ 235.34, while 57.73% of the
participants had no paid work and 61.66% were receiving social benefits from the Brazilian
federal government. A study carried out with Mura de Autazes indigenous people (Amazonas)
also revealed that 60.2% received income from some social benefits program of the Brazilian
federal government and 59.4% had a family income of less than US$ 237.00 [25]. Another
study carried out with the Guarani-Kaiowa´ and Terena indigenous peoples from Dourados
(Mato Grosso do Sul) presented a percentage of 84.2% of families benefited by the Bolsa Famí-
lia program, highlighting the conditions of social vulnerability experienced by the group and
the possibility of social benefits improving the living conditions of the indigenous people [28].
In this context, it is worth noting that the Munduruku indigenous population presented risk
for diabetes associated with low income.
The anthropometric data presented significant differences, revealing higher mean values
among the indigenous people classified as diabetic compared to pre-diabetics and to those
with normal blood glucose.
For the Body Mass Index, the global mean revealed excess weight [25.8 (±4.0) kg/m2]
among the Munduruku indigenous people, 38.3% of them with overweight and 14% with obe-
sity. A study carried out in 2016 with the Mura de Autazes indigenous people (Amazonas),
showed excess weight, with a BMI of 26.6 (±4.7) kg/m2 [25]. Similar results were found among
the indigenous women from the municipality of Dourados (Mato Grosso do Sul), who pre-
sented a mean BMI of 27.8 (±5.0) kg/m2 [13]. When it comes to the Xavante Indigenous
Reserves of São Marcos and Sangradouro, in the municipality of Volta Grande (Mato Grosso),
the mean BMI indicates obesity among these indigenous people [30.3 (±5.1) kg/m2] [18].
Overweight and obesity are worrisome conditions, as they increase the risk of developing car-
diovascular diseases [18].
Among the Munduruku considered diabetic, the percentage of obesity was 28.3%. Flor
et al. showed that, in 2008, the percentage attributable to obesity associated with diabetes melli-
tus was, for men, 37.3% in the Brazilian North Region against 45.4% in the entire country;
and, for women, 55.1% in the North Region against 58.3% throughout Brazil, and the Brazilian
mean was higher than the mean values found in the international literature [29].
When it comes to indigenous peoples, data for comparative analysis between diabetes and
neck circumference are scarce. In our study, the mean neck circumference was 36 cm (±3.3),
slightly below the national mean for the Brazilian male population (39.5±3.6) and slightly
above the national mean for the Brazilian female population (34.0±2.9) [30]. In relation to
other ethnic groups, such as Asian groups living in different cultural contexts, the mean found
was 33 cm (±4.16), indicating that the increase in fat in the neck region had a greater indica-
tion of cardiometabolic disease when compared to the increase in the body and visceral mass
index [31]. Another two studies conducted with the general American population suggest that
increased neck circumference was associated with hypertension, diabetes, metabolic syndrome
and dyslipidemia [32, 33].
In relation to waist circumference, the Munduruku presented a lower mean [85.3 cm
(±10.2)], when compared to the Xavante indigenous people (Mato Grosso) [95.1 (±8.3) [34],
but higher when compared to the Yanomami (Roraima) [76.3 (±46.8)] [35].
With regard to the Taper Index, the mean was 1.24 (± 0.9) among the Munduruku, similar
to the one found among the Mura (municipality of Autazes, Amazonas) [1.27 (±0.08)] [25].
However, these findings are much lower when compared to the mean of the Brazilian popula-
tion that varies between 1.35 (±0.08) and 1.34 (±0.09) [36, 37].
In relation to the blood pressure levels, the results of this study show that the prevalence of
people with blood pressure levels suggestive of arterial hypertension was 10.2%. A systematic
PLOS ONE | https://doi.org/10.1371/journal.pone.0255730 September 3, 2021
11 / 16
PLOS ONEGlycemic profile and associated factors in indigenous Munduruku, Amazonas.
review study with meta-analysis and meta-regression, conducted with indigenous people from
the North Region (Ianomaˆmi, Suruı´, Tembe´, Amondaua, Parkatêjê, Suruı´), from the Midwest
Region (Terena, Zoro´, Suya´, Kalapalo, Kuikuro, Matipus, Nahukwa´, Mehina´ku, Waura´, Yawa-
lapitı´, Guaranı´, Tupinikin, Xavante, Khisêdjê and indigenous people from the Jaguapiru vil-
lage), and from the Southeast and South Regions (Guaranı´-Mbya´, Kaingang), showed a 12%
increase in the chance of hypertension, in any indigenous person in Brazil, for each year stud-
ied [38]. The meta-analysis of this study showed that there was an increase in the prevalence of
arterial hypertension, since in 1970 it was non-existent in the indigenous population, 0.1%
(95% CI = 0.0% – 0.6%), when compared to 2014, when the highest prevalence of arterial
hypertension was identified: 29.7% (95% CI = 26.1% – 44.4%) [38].
A study that investigated cardiovascular risk factors among different ethnic groups, living
in the same urban area of Manaus (Amazonas), identified that, although the prevalence of
SAH among the indigenous people was lower than in white-skinned (62.5%) and brown-/
black-skinned (60.7%) individuals, that for pre-hypertension and hypertension was 28.6%
among the Satere´-Mawe´ and 46.5% among ethnic groups from the upper Rio Negro [39].
During the assessment of the lipid levels, this study presented a mean of triglycerides of
165.5 (±86.5) mg/dL. In turn, 21.1% of the participants had high levels of triglycerides. These
data are similar to those of the Mura de Autazes indigenous people (Amazonas) [163.5
(±104.7) mg/dL] [25] and Xavante of the São Marcos and Sangradouro Indigenous Reserves
(Mato Grosso) [199.1 (±171.2) mg/dL] [18], differing from the mean among the Guarani-
Mbya´ indigenous people (Rio de Janeiro), which was 116.0 (±74.9) mg/dL [3].
Regarding the total cholesterol levels, the mean was 177.5 (± 32.2) mg/dL, considered
within the boundary range and indicating that the Munduruku presented higher levels when
compared to other ethnicities, such as the Sangradouro and the Guarani-Mbya´ indigenous
peoples, whose mean total cholesterol values were 145.8 (±4.7) mg/dL [16] and 143.8 (±28.8)
mg/dL, respectively [3].
In relation to the diabetics indigenous individuals, 82.6% of them reported having a family
history of diabetes and 52.8%, a family history of stroke. Indigenous people under the age of
55, who live in remote areas of Australia, were 14 times more likely to have an ischemic stroke,
when compared to non-indigenous people belonging to the same age group. It is worth men-
tioning that the prevalence of diabetes found was 70.3% among indigenous people versus 34%
among non-indigenous people [40].
With regard to the findings obtained through Odds Ratio adjusted for gender and age, it is
possible to assert an increase in the chance of developing Pre-diabetes and Diabetes in relation
to age in the group under study. Australian indigenous peoples had a 7% chance of developing
diabetes each year of life [41]. A similar percentage was identified among the Munduruku, in
which at each one year of life increase, there is a 3% chance of having pre-diabetes, and 5% for
diabetes.
As for the BMI, for each increase in the unit of this ratio, the chance for the indigenous per-
son becoming a pre-diabetic is 16%; and 28%, for diabetes. Data found in a comparative study
between the population of the Aracruz Indigenous Reserve (Brazil) and the population of Espı´-
rito Santo (Brazil) showed that obese non-indigenous men and women were twice as likely to
have DM but, when it comes to the indigenous people in this study, no significant differences
were found [42].
Among the overweight indigenous people, the chance of having diabetes is four times
higher, respectively. For the obese, on the other hand, the chances substantially increase, both
for pre-diabetes, which increases to nine times, and for diabetes, which can reach 29 times. In
the study with Guarani, Kaiowa´ and Terena, from the Jaguapiru village (Mato Grosso do Sul),
the prevalence of diabetes among women was 9% and among men, 5%. The study also
PLOS ONE | https://doi.org/10.1371/journal.pone.0255730 September 3, 2021
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PLOS ONEGlycemic profile and associated factors in indigenous Munduruku, Amazonas.
indicated a positive and significant association between obesity and diabetes (PR = 1.88; 95%
CI = 1.45 – 2.43; p<0.001). A population-based study carried out in different Brazilian regions
showed that obese individuals had 35% [95% CI = 1.35 – 1.86; p<0.001] chances of developing
diabetes [43]. These findings show that the Munduruku, although still distant from the
national mean of the general Brazilian population, are in an unfavorable condition toward the
development of diabetes in relation to other ethnic groups living in a similar cultural context.
Study limitations
In the absence of specific cut-off points for indigenous populations, those used for the general
population were considered, also adopted in other studies on different ethnic groups.
As it was impossible to apply a dietary recall, it was not possible to verify how much the eat-
ing habits are associated with the values found for glucose, cholesterol and triglycerides.
The instruments adopted in the interview were not specific to indigenous peoples. How-
ever, since it is an essential requirement to achieve the proposed objectives, the adequacy of
language to the understanding of the group under study constituted a task that demanded dif-
ferent moments of planning and evaluation by the team.
Conclusion
The 12% prevalence of glycaemia found among the Munduruku indigenous people is sugges-
tive of diabetes mellitus, and that of 74.3%, revealing pre-diabetes, configure themselves as
worrying indexes, as well as the chance of pre-diabetes, which increases by 20% when the BMI
increases by one unit. It is necessary to consider changes in the eating habits and lifestyle, as
well as environmental and social changes that can affect the health of the Munduruku, and
consider the stress levels, with the possibility of each of these elements contributing or not to
the results of this study. Consequently, it becomes indispensable to develop strategies combin-
ing early diagnosis and treatment actions with actions to reduce the risk factors, in order to
meet the needs and singularities of the Munduruku indigenous people. It is also suggested to
develop new research studies on the topic in order to consolidate these findings in other Mun-
duruku indigenous contexts.
Author Contributions
Conceptualization: Zilmar Augusto de Souza Filho, Noeli das Neves Toledo, Anto´nio Manuel
Sousa, Gilsirene Scantelbury de Almeida.
Data curation: Hanna Lorena Moraes Gomes, Neuliane Melo Sombra.
Formal analysis: Anto´nio Manuel Sousa.
Funding acquisition: Noeli das Neves Toledo.
Investigation: Hanna Lorena Moraes Gomes, Neuliane Melo Sombra.
Methodology: Hanna Lorena Moraes Gomes, Neuliane Melo Sombra.
Project administration: Zilmar Augusto de Souza Filho, Noeli das Neves Toledo, Gilsirene
Scantelbury de Almeida.
Supervision: Zilmar Augusto de Souza Filho, Evelyne Marie Therese Mainbourg, Gilsirene
Scantelbury de Almeida.
Visualization: Hanna Lorena Moraes Gomes, Eliza Dayanne de Oliveira Cordeiro, Zilmar
Augusto de Souza Filho, Evelyne Marie Therese Mainbourg, Gilsirene Scantelbury de
Almeida.
PLOS ONE | https://doi.org/10.1371/journal.pone.0255730 September 3, 2021
13 / 16
PLOS ONEGlycemic profile and associated factors in indigenous Munduruku, Amazonas.
Writing – original draft: Hanna Lorena Moraes Gomes, Neuliane Melo Sombra, Eliza Day-
anne de Oliveira Cordeiro.
Writing – review & editing: Hanna Lorena Moraes Gomes, Neuliane Melo Sombra, Eliza
Dayanne de Oliveira Cordeiro, Evelyne Marie Therese Mainbourg, Gilsirene Scantelbury
de Almeida.
References
1. Coimbra CEA Jr., Santos RV, Escobar AL. Epidemiologia e sau´de dos povos indı´genas no Brasil. Fio
Druz. Abrasco, editor. Epidemiologia e sau´de dos povos indı´genas no Brasil. Rio de Janeiro; 2005.
2. Coimbra CEA Jr. Sau´de e povos indı´genas no Brasil: reflexões a partir do I Inque´rito Nacional de
Sau´ de e Nutric¸ão Indı´gena. Cad Saude Publica [Internet]. 2014; 30(4):855–9. Available from: http://
www.ncbi.nlm.nih.gov/pubmed/24896060 https://doi.org/10.1590/0102-311x00031214 PMID:
24896060
3. Cardoso AM, Mattos IE, Koifman RJ. doenc¸as cardiovasculares na populac¸ão Guaranı´-Mbya´ do
Estado do Rio de Janeiro Prevalenc. Cad Sau´de Pu´blica. 2001; 17(2):345–54. https://doi.org/10.1590/
s0102-311x2001000200009 PMID: 11283765
4. Cardoso AM, Horta BL, Coimbra Ju´ nior C, Folle´ r M-L, Souza MC de, Santos RV. Inque´rito Nacional de
Sau´ de e Nutric¸ão dos Povos Indı´genas [Internet]. Abrasco, editor. Rio de Janeiro; 2009. 496 p. Avail-
able from: https://goo.gl/nvzKjZ%5Cnecos-redenutri.bvs.br/tiki-download_file.php?fileId=1284
5. Codec¸o CT, Vilela D, Coelho F, Bastos LS, Carvalho LM, Gomes MFC, et al. Estimativa de risco de
espalhamento da COVID-19 no Brasil e avaliac¸ão da vulnerabilidade socioeconoˆmica nas microrre-
giões brasileiras. FGV Reposito´ rio Digit. 2020; 2:1–17.
6. Cunha E del BB, Fagundes RP, Scalabrin EE, Herai RH. Avaliac¸ão do perfil lipı´dico de adolescentes.
Int J Cardiovasc Sci. 2018; 31(4):367–73.
7. Schmidt MI, Duncan BB, E Silva GA, Menezes AM, Monteiro CA, Barreto SM, et al. Doenc¸as croˆnicas
não transmissı´veis no Brasil: carga e desafios atuais. Lancet. 2011; 377(9781):1949–61. https://doi.
org/10.1016/S0140-6736(11)60135-9 PMID: 21561658
8. Cardoso FN, Domingues TAM, Silva SS, Lopes J de L. Fatores de risco cardiovascular modifica´veis
em pacientes com hipertensão arterial sistêmica. Reme Rev Min Enferm [Internet]. 2020; 24:1–8. Avail-
able from: https://cdn.publisher.gn1.link/reme.org.br/pdf/e1275.pdf
9.
Lyra R, Oliveira M, Lins D, Cavalcanti N, Gross JL, Maia FFR, et al. Diretrizes Sociedade Brasileira de
Diabetes 2019–2020. Vol. 5, Clannad. 2019. 709–717 p.
10.
IDF. IDF DIABETES ATLAS. 2019. 168 p.
11. Oliveira GF De, Oliveira TRR De, Rodrigues FF, Corrêa LF, Ikejiri AT, Casulari LA. Prevalência de dia-
betes melito e toleraˆ ncia à glicose diminuı´da nos indı´genas da Aldeia Jaguapiru, Brasil. Rev Panam
Salud Publica. 2011; 29(5):315–21. https://doi.org/10.1590/s1020-49892011000500003 PMID:
21709935
12. Oliveira GF, Oliveira TRR, Ikejiri AT, Andraus MP, Galvao TF, Silva MT, et al. Prevalence of hyperten-
sion and associated factors in an indigenous community of Central Brazil: A population-based study.
PLoS One. 2014; 9(1):1–6.
13.
Freitas GA de, Souza MCC de, Lima R da C. Prevalência de diabetes mellitus e fatores associados em
mulheres indı´genas do Municı´pio de Dourados, Mato Grosso do Sul, Brasil. Cad Saude Publica. 2016;
32(8):1–12.
14. Meyerfreund D, Gonc¸alves CP, Cunha Roberto S, Pereira AC, Krieger JE, Mill JG. Age-dependent
increase in blood pressure in two different Native American communities in Brazil. J Hypertens. 2009;
27(9):1753–60. https://doi.org/10.1097/hjh.0b013e32832e0b2b PMID: 19701999
15. Santos KM dos, Tsutsui ML da S, Galvão PP de O, Mazzucchetti L, Rodrigues D, A SG, et al. Grau de
atividade fı´sica e sı´ndrome metabo´ lica: um estudo transversal com indı´genas Khisêdjê do Parque Indı´-
gena do Xingu, Brasil. Cad Sau´ de Pu´ blica. 2012; 28(12):2327–38. https://doi.org/10.1590/s0102-
311x2012001400011 PMID: 23288065
16. Dal Fabbro AL, Franco LJ, Silva AS da, Sartorelli DS, Soares LP, Franco LF, et al. High Prevalence of
type 2 Diabetes Mellitus in Xavante indians from Mato Grosso, Brazil. Ethn Dis. 2014; 24:35–40. PMID:
24620446
PLOS ONE | https://doi.org/10.1371/journal.pone.0255730 September 3, 2021
14 / 16
PLOS ONEGlycemic profile and associated factors in indigenous Munduruku, Amazonas.
17.
Freitas GA de, Souza MCC de, Lima R da C. Prevalência de diabetes mellitus e fatores associados em
mulheres indı´genas do Municı´pio de Dourados, Mato Grosso do Sul, Brasil. Cad Saude Publica. 2016;
32(8):e00023915. https://doi.org/10.1590/0102-311X00023915 PMID: 27626648
18. Soares LP, dal Fabbro AL, Silva AS, Sartorelli DS, Franco LF, Kuhn PC, et al. Cardiovascular risk in
Xavante indigenous population. Arq Bras Cardiol. 2018; 110(6):542–50. https://doi.org/10.5935/abc.
20180090 PMID: 30226913
19.
Faludi AA, Maria Cristina de Oliveira Izar, Kerr Saraiva Jose´ Francisco, Ana Paula Marte Chacra HTB,
Neto AA, Bertolami A, et al. Atualizac¸ão da diretriz brasileira de dislipidemias e prevenc¸ão da atero-
sclerose—2017. Arq Bras Cardiol. 2017; 109(1):76.
20. WHO. Obesity: preventing and managing the global epidemic. Who Tech Rep Ser. 2000; 37(10):253.
PMID: 11234459
21. Gallagher D, Heymsfield SB, Heo M, Jebb SA, Murgatroyd PR, Sakamoto Y. Healthy percentage body
fat ranges: An approach for developing guidelines based on body mass index. Am J Clin Nutr [Internet].
2000; 72(3):694–701. Available from: https://pubmed.ncbi.nlm.nih.gov/10966886/ https://doi.org/10.
1093/ajcn/72.3.694 PMID: 10966886
22. Barroso WKS, Cibele Isaac Saad Rodrigues LAB, Mota-Gomes MA, Brandão AA, Feitosa AD de M,
Machado CA, et al. Diretrizes Diretrizes Brasileiras de Hipertensão Arterial– 2020. Vol. 116. 2021.
516–658 p.
23. Santos JL, Pe´ rez-Bravo F, Carrasco E, Calvilla´ n M, Albala C. Low prevalence of type 2 diabetes despite
a high average body mass index in the aymara natives from Chile. Nutrition. 2001; 17(4):305–9. https://
doi.org/10.1016/s0899-9007(00)00551-7 PMID: 11369169
24. Bennett PH, Burch TA, Miller M. Diabetes Mellitus in American (Pima) Indians. Lancet. 1971; 298
(7716):125–8.
25. De Souza Filho ZA, Ferreira AA, Dos Santos J, Meira KC, Pierin AMG. Cardiovascular risk factors with
an emphasis on hypertension in the Mura Indians from Amazonia. BMC Public Health. 2018; 18(1):1–
12. https://doi.org/10.1186/s12889-018-6160-8 PMID: 30424745
26. Brasil MDS. Diretrizes e Recomendac¸ões para o Cuidado Integral de Doenc¸as Croˆnicas Diretrizes e
Recomendac¸ões para o Cuidado Integral de Doenc¸as Croˆ nicas Não-Transmissı´veis [Internet]. Preven-
tion. 2008. Available from: http://bvsms.saude.gov.br/bvs/publicacoes/diretrizes_recomendacoes_
cuidado_doencas_cronicas.pdf
27. WHO. Technical package for cardiovascular disease management in primary health care. Report.
2016;76.
28. Quermes PA de A, Carvalho JA de. Os impactos dos benefı´cios assistenciais para os povos indı´genas.
Servic¸o Soc e Soc [Internet]. 2013; 116:769–91. Available from: http://www.planalto.gov.br/ccivil_03/
leis/
29.
Flor LS, Campos MR, de Oliveira AF, Schramm JM de A. Diabetes burden in Brazil: Fraction attribut-
able to overweight, obesity, and excess weight. Rev Saude Publica. 2015;49. https://doi.org/10.1590/
S0034-8910.2015049005391 PMID: 26270011
30. Silva AAG de O, de Araujo LF, Diniz M de FHS, Lotufo PA, Bensenor IM, Barreto SM, et al. Neck cir-
cumference and 10-year cardiovascular risk at the baseline of the elsa-brasil study: Difference by sex.
Arq Bras Cardiol. 2020; 115(5):840–8. https://doi.org/10.36660/abc.20190289 PMID: 33295446
31.
Fu W, Zou L, Yin X, Wu J, Zhang S, Mao J, et al. Association between neck circumference and cardio-
metabolic disease in Chinese based cross- - adults: a community- - sectional study. BMJ Open.
2019;1–7. https://doi.org/10.1136/bmjopen-2019-030833 PMID: 31273011
32. Preis SR, Massaro JM, Hoffmann U, D’Agostino RB, Levy D, Robins SJ, et al. Neck Circumference as a
Novel Measure of Cardiometabolic Risck: The Framingham Heart Study. J Clin Endocr Metab. 2010; 95
(8):3701–10. https://doi.org/10.1210/jc.2009-1779 PMID: 20484490
33. Preis SR, Pencina MJ, D’Agostino RB, Meigs JB, Vasan RS, Fox CS. Neck Circumference and the
development of Cardiovascular Disease Risck Factors in the Framingham heart Study. Diabetes Care.
2013;36.
34. Welch JR, Ferreira AA, Tavares FG, Lucena JRM, Oliveira MVG de, Santos R V., et al. The Xavante
Longitudinal Health Study in Brazil: Objectives, design, and key results. Am J Hum Biol. 2019;1–12.
35. Bloch K V., Coutinho E da SF, Loˆ bo MS de C, Oliveira JEP de, Milech A. Pressão arterial, glicemia capi-
lar e medidas antropome´ tricas em uma populac¸ão Yanoma´ mi. Cad Saude Publica. 1993; 9(4):428–38.
36. Barroso TA, Marins LB, Alves R, Gonc¸alves ACS, Barroso SG, Rocha G de S. Associac¸ão Entre a Obe-
sidade Central e a Incidência de Doenc¸as e Fatores de Risco Cardiovascular. Int j Cardiovasc sci.
2017; 30(5):416–24.
PLOS ONE | https://doi.org/10.1371/journal.pone.0255730 September 3, 2021
15 / 16
PLOS ONEGlycemic profile and associated factors in indigenous Munduruku, Amazonas.
37.
Fontela PC, Winkelmann ER, C PRNV. Estudo do ı´ndice de conicidade, ı´ndice de massa corporal e cir-
cunferência abdominal como preditores de doenc¸a arterial coronariana. Rev Port Cardiol [Internet].
2017; 36(5):357–64. Available from: https://doi.org/10.1016/j.repc.2016.09.013 PMID: 28449975
38. Souza Filho ZA de, Ferreira AA, dos Santos B, Pierin AMG. Hypertension prevalence among indige-
nous populations in Brazil: A systematic review with meta-analysis. Rev da Esc Enferm [Internet]. 2015;
49(6):1012–22. Available from: https://www.scielo.br/pdf/reeusp/v49n6/0080-6234-reeusp-49-06-
1016.pdf
39.
Toledo N das N, Almeida GS de, Matos MMM, Balieiro AA da S, Martin LC, Franco RJ da S, et al. Car-
diovascular risk factors: differences between ethnic groups. Rev Bras Enferm. 2020; 73(4):e20180918.
https://doi.org/10.1590/0034-7167-2018-0918 PMID: 32578730
40. Balabanski AH, Goldsmith K, Giarola B, Buxton D, Castle S, McBride K, et al. Stroke incidence and sub-
types in Aboriginal people in remote Australia: A healthcare network population-based study. BMJ
Open. 2020; 10(10):1–9. https://doi.org/10.1136/bmjopen-2020-039533 PMID: 33033097
41. Brown A, Carrington MJ, McGrady M, Lee G, Zeitz C, Krum H, et al. Cardiometabolic risk and disease
in Indigenous Australians: The heart of the heart study. Int J Cardiol [Internet]. 2014; 171(3):377–83.
Available from: https://doi.org/10.1016/j.ijcard.2013.12.026 PMID: 24388543
42. Alvim RDO, Mourao CA, De Oliveira CM, Krieger JE, Mill JG, Pereira AC. Body mass index, waist cir-
cumference, body adiposity index, and risk for type 2 diabetes in two populations in Brazil: General and
Amerindian. PLoS One. 2014; 9(6).
43.
Flor LS, Campos MR. The prevalence of diabetes mellitus and its associated factors in the Brazilian
adult population: evidence from a population-based survey. Rev Bras Epidemiol. 2017; 20(1):16–29.
https://doi.org/10.1590/1980-5497201700010002 PMID: 28513791
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PLOS ONE
| null |
10.1371_journal.pbio.3002512.pdf
|
Data Availability Statement: Codes and
preprocessed data are available at https://osf.io/
m7dta/. Note that raw SEEG and neuroimaging
(T1-MPRAGE) data are protected and cannot be
shared (CPP Sud-Est V, 2009-A00239-48).
|
Codes and preprocessed data are available at https://osf.io/ m7dta/ . Note that raw SEEG and neuroimaging (T1-MPRAGE) data are protected and cannot be shared (CPP Sud-Est V, 2009-A00239-48).
|
RESEARCH ARTICLE
Cross-frequency coupling in cortico-
hippocampal networks supports the
maintenance of sequential auditory
information in short-term memory
Arthur Borderie1,2, Anne Caclin3, Jean-Philippe Lachaux3, Marcela Perrone-Bertollotti4,
Roxane S. Hoyer1, Philippe Kahane5, He´ lène Catenoix3,6, Barbara Tillmann3,7,
Philippe AlbouyID
1,2,3*
1 CERVO Brain Research Center, School of Psychology, Laval University, Que´ bec, Canada, 2 International
Laboratory for Brain, Music and Sound Research (BRAMS), CRBLM, Montreal, Canada, 3 Universite´ Claude
Bernard Lyon 1, CNRS, INSERM, Centre de Recherche en Neurosciences de Lyon CRNL U1028 UMR5292,
Bron, France, 4 Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, LPNC, Grenoble, France, 5 Univ.
Grenoble Alpes, Inserm, U1216, CHU Grenoble Alpes, Grenoble Institut Neurosciences, Grenoble, France,
6 Department of Functional Neurology and Epileptology, Lyon Civil Hospices, member of the ERN EpiCARE,
and Lyon 1 University, Lyon, France, 7 Laboratory for Research on Learning and Development, LEAD–
CNRS UMR5022, Universite´ de Bourgogne, Dijon, France
* philippe.albouy@psy.ulaval.ca
Abstract
AU : Pleaseconfirmthatallheadinglevelsarerepresentedcorrectly:
It has been suggested that cross-frequency coupling in cortico-hippocampal networks
enables the maintenance of multiple visuo-spatial items in working memory. However,
whether this mechanism acts as a global neural code for memory retention across sensory
modalities remains to be demonstrated. Intracranial EEG data were recorded while drug-
resistant patients with epilepsy performed a delayed matched-to-sample task with tone
sequences. We manipulated task difficulty by varying the memory load and the duration of
the silent retention period between the to-be-compared sequences. We show that the
strength of theta-gamma phase amplitude coupling in the superior temporal sulcus, the infe-
rior frontal gyrus, the inferior temporal gyrus, and the hippocampus (i) supports the short-
term retention of auditory sequences; (ii) decodes correct and incorrect memory trials as
revealed by machine learning analysis; and (iii) is positively correlated with individual short-
term memory performance. Specifically, we show that successful task performance is asso-
ciated with consistent phase coupling in these regions across participants, with gamma
bursts restricted to specific theta phase ranges corresponding to higher levels of neural
excitability. These findings highlight the role of cortico-hippocampal activity in auditory
short-term memory and expand our knowledge about the role of cross-frequency coupling
as a global biological mechanism for information processing, integration, and memory in the
human brain.
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OPEN ACCESS
Citation: Borderie A, Caclin A, Lachaux J-P,
Perrone-Bertollotti M, Hoyer RS, Kahane P, et al.
(2024) Cross-frequency coupling in cortico-
hippocampal networks supports the maintenance
of sequential auditory information in short-term
memory. PLoS Biol 22(3): e3002512. https://doi.
org/10.1371/journal.pbio.3002512
Academic Editor: Timothy D. Griffiths, Newcastle
University Medical School, UNITED KINGDOM
Received: May 23, 2023
Accepted: January 22, 2024
Published: March 5, 2024
Copyright: © 2024 Borderie et al. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
Data Availability Statement: Codes and
preprocessed data are available at https://osf.io/
m7dta/. Note that raw SEEG and neuroimaging
(T1-MPRAGE) data are protected and cannot be
shared (CPP Sud-Est V, 2009-A00239-48).
Funding: This work was conducted in the
framework of the LabEx CeLyA ("Centre Lyonnais
d’Acoustique", ANR-10-LABX-0060, https://celya.
universite-lyon.fr/labex-celya-151124.kjsp) and of
the LabEx Cortex ("Construction, Function and
PLOS Biology | https://doi.org/10.1371/journal.pbio.3002512 March 5, 2024
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Cognitive Function and Rehabilitation of the
Cortex", ANR-11-LABX-0042, https://labex-cortex.
universite-lyon.fr/) of Universite´ de Lyon, within the
program "Investissements d’avenir" (ANR-11-IDEX-
0007, https://anr.fr/) operated by the French
National Research Agency (ANR, https://anr.fr/).
This work was supported a NSERC Discovery grant
(https://www.nserc-crsng.gc.ca/) and a FRQS
Junior 1 and 2 grants (https://frq.gouv.qc.ca/sante/
) and a Brain Canada Future leaders Grant (https://
braincanada.ca/) to P.A. A.B. and R.S.H are funded
by the CERVO Foundation (https://fondationcervo.
com/, FRQS, https://frq.gouv.qc.ca/sante/). The
funders had no role in study design, data collection
and analysis, decision to publish, or preparation of
the manuscript.
Competing interests: The authors have declared
that no competing interests exist.
Cross-frequency coupling enables integration and memory of auditory information in the human brain
Introduction
It is well established that the medial temporal lobe, in particular the hippocampus, is involved
in the formation of long-term memories (LTM; [1]). Notably, hippocampal lesions consis-
tently entail LTM deficits (i.e., anterograde amnesia [2]). In contrast, numerous empirical data
obtained with a variety of materials, such as words [3], digits [4,5], tones [5], or single-dot loca-
tions [4], have led to the hypothesis that hippocampal lesions do not impact working memory
(WM) and short-term memory (STM) functions [6,7]. These findings suggest that WM and
STM functions rely on distinct processes from LTM (e.g., [8,9]; see also [10,11] for neuroimag-
ing studies).
However, this hypothesis has been challenged by (i) neuropsychological studies reporting
that patients with hippocampal lesions experience difficulties in maintaining items in WM or
STM [12–14]; and (ii) fMRI [15–17], intracranial EEG [18–21], or single-unit recordings
[22,23] in humans reporting persistent, load-dependent, hippocampal activity during WM
maintenance of visual information (see also [15] for evidence of hippocampal involvement
during auditory STM and [24] for a review about hippocampal activity during general auditory
processing).
honest significant difference;
Abbreviations: HSD, AU : Anabbreviationlisthasbeencompiledforthoseusedthroughoutthetext:Pleaseverifythatallentriesarecorrectlyabbreviated:
IES, inverse efficiency score; IFG, inferior frontal
gyrus; ITG, inferior temporal gyrus; LMM, linear
mixed model; LTM, long-term memory; PAC,
phase amplitude coupling; PLV, phase locking
value; RT, response time; STM, short-term
memory; STS, superior temporal sulcus; SVM,
support vector machine; WM, working memory.
Hippocampal activity during WM and STM has been originally associated with mainte-
nance-related increase of theta and gamma power [21,25–28]. Interestingly, recent studies
went a step further by showing that successful visual memory performance requires the cou-
pling of gamma activity to specific phases of the hippocampal theta (theta-gamma phase
amplitude coupling (PAC) [29–32]). Theta-gamma PAC consists in gamma subcycles (local
neural activity associated to the processing of each encoded item) that occur at specific theta
phase ranges. It has been suggested that theta-gamma PAC plays a critical role in the mainte-
nance of different items in memory and as well as their serial order [31–33]. To date, theta-
gamma PAC has been observed in cortico-thalamo-cortical, cortico-cortical, and cortico-hip-
pocampal networks for episodic, working, and long-term memory consolidation in the visual
modality [28,34,35]. For the specific case of STM, hippocampal theta-gamma PAC has first
been isolated with SEEG in a visual word recognition paradigm in humans: an increased syn-
chronization between the phase of the theta band, and the power changes in the beta and
gamma bands were observed when patients successfully remembered previously presented
words [36]. Several studies have since confirmed the implication of PAC in STM and WM by
showing that the simultaneous maintenance and/or manipulation of multiple visual items in
memory is implemented under the form of hippocampal theta-gamma PAC [18,20,37,38].
Overall, previous results suggest that WM or STM maintenance, in which different items
must be separately and sequentially maintained over a short period of time, is represented by
an ordered activity of cell assemblies implemented under the form of theta-gamma PAC in
human cortico-hippocampal networks [31]. However, to date, these studies have mainly
focused on visuo-spatial processing, and very little is known about the potential role of theta-
gamma PAC in auditory and hippocampal regions during the short-term retention of sequen-
tial auditory information. Coupling across cortical oscillations of distinct frequencies in the
auditory cortex has been assumed to enable the multiscale sensory analysis of speech (pho-
nemes and syllables [39–41]). However, the direct contribution of auditory-hippocampal
cross-frequency coupling for the short-term maintenance of sequential auditory information
has not yet been demonstrated. In the present study, we recorded intracranial EEG data while
drug-resistant patients with epilepsy performed a delayed matched-to-sample task with tone
sequences. If theta-gamma PAC is a predictor of successful memory maintenance, its strength
in the auditory and hippocampal regions should (i) be increased during short-term retention
of tone sequences (as compared to simple perception); (ii) decode correct and incorrect
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PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
responses in the STM task using machine learning analysis; and, finally, (iii) be positively cor-
related with individual auditory STM performance.
Results
Intracranial EEG recordings were obtained from 16 neurosurgical patients with focal drug-
resistant epilepsy. The participants performed an auditory STM task, consisting in the compar-
ison of tone sequences presented in pairs and separated by a silent retention period. In each
block of the task, in 50% of the trials, the tone sequences were identical (expected response
“same”) and 50% differed by one note (expected response “different”). To manipulate task dif-
ficulty, in different conditions, we varied the memory load (3 or 6 to-be-encoded tones, with a
tone duration of 250 ms) and the duration of the silent retention period between the to-be-
compared sequences (2 s, 4 s, and 8 s; see Table 1 for a detailed description of the conditions
and number of participants tested in each condition). Participants also performed a block of
listening of the same trials with the instruction to not compare the tone sequences and were
simply required to press a button as fast as possible at the end of the last tone of the second
sequence (Perception task, 6 tones, 2 s silent period between the tone sequences; see Methods).
Accuracy
Task performance was evaluated using d prime (signal detection theory). To evaluate the
impact of the duration of the silent retention period for 6-tone sequences, we performed a
nonparametric repeated measures ANOVA (Friedman test) with duration (2 s, 4 s, and 8 s) as
a within-participants factor (n = 6 participants, note that all participants did not perform all
the tasks—see Table 1). The main effect of duration was significant χ2 (2) = 7.00, p = .03. Post
hoc tests performed with Durbin–Conover pairwise comparisons revealed that performance
in the 2 s duration condition was significantly better than performance in the 2 other duration
conditions (4 s, p = 0.004; and 8 s, p = .03). Performance in the 4 s and 8 s conditions did not
differ significantly (p = 0.24, Fig 1B, left panel). To evaluate the impact of memory load on
accuracy (3 versusAU : PleasenotethatasperPLOSstyle; donotuse}vs:}exceptintablesandcaptions:Hence; allinstanceof }vs:}havebeenspelledoutto}versus}throughoutthetext:
a Wilcoxon rank test revealing, as expected, that performance was increased for the 3-tone
condition as compared to the 6-tone condition (W [5] = 21.0, p = 0.031; Fig 1B, right panel).
6 tones with a 4 s silent retention period, n = 6 participants), we performed
Response times
The same analyses were performed for response times of correct responses (RTsAU : PleasenotethatasperPLOSstyle; abbreviateanyinstanceofthefullword=phraseafterthefirstmention:Hence; allinstancesof }responsetime}or}responsetimes}havebeenchangedto}RT}or}RTs; }respectively:
; Fig 1C) in
the same participants (n = 6). Nonparametric repeated measures ANOVA (Friedman test)
Table 1. Description of the conditions.
Conditions
6 tones—short
retention
6 tones—medium
retention
6 tones—long retention
3 tones—medium
retention
Task
STM
STM
STM
STM
6 tones -perception
task
Do not compare sequences and press 1 key at the end of the
second sequence
STM, short-term memory.
https://doi.org/10.1371/journal.pbio.3002512.t001
Memory load
Retention duration
(s)
Number of patients
tested
6 tones (total sequence
duration 1.5 s)
6 tones (total sequence
duration 1.5 s)
6 tones (total sequence
duration 1.5 s)
3 tones (total sequence
duration 0.75 s)
6 tones (total sequence duration
2
4
8
4
2
16
6
16
6
16
1.5 s)AU : Pleaseconfirmthattheitalicized}6tonesðtotalsequenceduration1:5sÞ}underthe}Memoryload}columninTable1canbechangedtoregulartext:
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PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
Fig 1. Paradigm, behavioral performance, and brain oscillations. (A) Auditory tasks (here with 6-tone sequences, 2
s retention): “Same” trials: After a delay, the first melody was repeated. “Different” trials: One tone was changed in the
second melody of the pair in comparison to the first melody (red rectangle). Memory load (3 or 6 tones) and duration
of the retention period (2, 4, 8 s) varied in separate blocks. Source data can be found at https://osf.io/m7dta/. (B)
Accuracy in terms of d prime presented as a function of the duration of the retention period (left panel; N = 6) and
memory load (right panel; N = 6). Colored circles depict participants (one color per participant). Asterisks indicate
significance (p < 0.05, nonparametric tests; see text for details); NS, nonsignificant. Source data can be found at https://
osf.io/m7dta/. (C) Response time (s) presented as a function of the duration of the retention period (left panel; N = 6)
and memory load (right panel; N = 6). Colored circles depict participants (one color per participant; same color coding
as in Fig 1B). NS, nonsignificant. Source data can be found at https://osf.io/m7dta/. (D) Left panel: T-values in the
time-frequency domain (t test relative to baseline −1,000 to 0 before stimulus onset, FDR corrected in time and
frequency domains) of SEEG contacts located in the right and left Heschl’s gyrus (displayed on the single subject T1 in
the MNI space provided by SPM12) for a trial time window (−1,000 to 6,000 ms) for the condition 6-tone memory
load, 2 s retention period (n = 5). Right panel shows the PSD, power spectrum density (zscore) average over a trial time
window (0 to 5,000 ms) that was used to define frequency for phase and frequency for amplitude for the PAC analysis.
Shaded error bars indicate SEM. Source data can be found at https://osf.io/m7dta/. (E) Left panel: T-values in the time-
frequency domain (t test relative to baseline −1,000 to 0 before stimulus onset, FDR corrected in time and frequency
domains) of SEEG contacts located in the right and left hippocampus (displayed on the single subject T1 in the MNI
space provided by SPM12) for a trial time window (−1,000 to 6,000 ms) for the condition 6-tone memory load, 2 s
retention period (n = 14). Right panel shows the PSD, power spectrum density (zscore) average over a trial time
window (0 to 5,000 ms) that was used to define frequency for phase for the PAC analysis. Shaded error bars indicate
SEM. Source data can be found at https://osf.io/m7dta/. (F) SEEG contacts modelled with 4 mm radius spheres (see
Methods) in the MRI volume showing a significant increase in oscillatory power (FDR corrected) relative to baseline in
theta (4 Hz) and gamma (30–90 Hz) ranges (Hilbert transform averaged over time) during encoding, retention, and
retrieval in all memory conditions in all participants (n = 16). All results are displayed on the single subject T1 in the
MNI space provided by SPM12. Source data can be found at https://osf.io/m7dta/.
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PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
with duration (2 s, 4 s, and 8 s) as a within-participants factor revealed that the main effect of
duration of the silent retention period was not significant χ2 (2) = 0.33, p = .84. In addition,
Wilcoxon rank test revealed no significant difference of RTs between the 3-tone condition and
the 6-tone condition (4 s silent retention period, W [5] = 4.00, p = .21; Fig 1C, right panel).
Spectral fingerprints of perception and short-term memory of auditory
sequences
Fig 1D and 1E show the oscillatory activity (t test relative to the baseline −1,000 to 0 ms before
stimulus onset, FDR corrected in time and frequency) in the time-frequency domain for SEEG
contacts located in the left and right Heschl’s Gyri (according to the AAL3 atlas; see Methods,
Fig 1D, 9 SEEG contacts, n = 5 participants with one electrode in this area, S1 Table) and bilat-
eral hippocampal and para-hippocampal regions (Fig 1E, 72 SEEG contacts, n = 14 partici-
pants with one electrode in these areas, S2 Table) for a trial time window for the 6-tone
condition, 2 s retention period. Note that the same figures using a logarithmic scale for the fre-
quency axis are presented in S1 Fig. In the auditory cortex, for each tone during the encoding
and retrieval periods, transient gamma activity (30 to 90 Hz) was observed. As expected, the
encoding of the entire sequence in the auditory cortex was associated with sustained theta
oscillations at 4 Hz (tone presentation rate) and at 8 Hz (harmonic; Fig 1D). Moreover, a sig-
nificant alpha/beta (10 to 20 Hz) desynchronization (relative to baseline) was observed in the
auditory cortex during encoding, retrieval, and at the beginning of the retention period
(Fig 1D). In the hippocampal and para-hippocampal regions, sustained theta oscillations (4 to
8 Hz) were observed during the entire trial time window (Figs 1E and S1).
We then aimed to evaluate the fluctuations of power relative to baseline in these frequency
bands for all SEEG contacts in all participants and all memory conditions. We used Hilbert’s
transform (to reduce the dimension of the data) to extract the magnitude of theta (4 Hz) and
gamma (30 to 90 Hz) oscillations during encoding, retention, and retrieval periods of the dif-
ferent conditions (averaged in time; see Table 1 for the relevant time periods) for each partici-
pant, each SEEG contact, and each trial. A contrast with baseline (FDR corrected) revealed
that gamma activity was increased bilaterally in primary and secondary auditory regions and
in the hippocampus during encoding retention and retrieval (Fig 1F, top panel; see SupportingAU : PleasenotethatPLOSusestheterm}Supportinginformation:}Hence; }supplementaryinformation}hasbeenreplacedwith}Supportinginformation}throughoutthetext:
information for details and coordinates).
During memory retention, an increase in theta activity was observed in a distributed net-
work including the hippocampal/para-hippocampal regions, inferior frontal gyrus, and several
regions of the ventral auditory stream (see Supporting information for details and coordinates;
Fig 1F, bottom panel).
To investigate whether these fluctuations of oscillatory power were specific to the memory
task, we contrasted memory trials (6 tones, 2 s silent retention delay) with perception trials (6
tones, 2 s silent delay) for each frequency band (theta, gamma) and for all time periods (encod-
ing, retention, retrieval; note that period names apply to the memory task) with nonparametric
permutation tests (see Methods and supporting results). To assess significance, we applied a
cluster-based approach: We defined SEEG contacts as significant only when they were overlap-
ping for at least 2 participants or 2 SEEG contacts (overlap estimated on an MRI volume
where SEEG contacts are represented by spheres with a radius of 4 mm; see Methods). This
analysis did not reveal any significant effect for the contrast memory versus perception for
each of the periods of the task (encoding, retention, retrieval), all p-values > .05 (see S2 Fig
plotting theta and gamma power for memory and perception conditions in all SEEG contacts
located in regions showing increased theta and gamma power relative to baseline during the
retention period).
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PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
Theta-gamma PAC is associated with auditory STM retention
Notwithstanding the fact that no effect was observed for the memory versus perception con-
trast on theta and gamma power, we investigated whether theta-gamma PAC during memory
retention could rather be a more specific marker of STM retention. For all PAC analyses, we
adopted the following strategy: All analyses, except the memory versus perception contrast
(see Table 1 and Fig 2), were done within subject, for all participants, using all data of the
memory conditions. We then report only the significant SEEG contacts that were overlapping
between participants or between electrodes using a cluster procedure (see below and Meth-
ods). As expected, during encoding, clear transient gamma oscillations were nested in the
theta cycle (Fig 2A for illustration) in the auditory cortex (Heschl’s gyrus, 9 SEEG contacts,
n = 5 participants, S1 Table). To investigate whether this mechanism played a functional role
during retention, we contrasted the theta-gamma PAC strength values of memory trials (6
tones, 2 s retention) with the theta-gamma PAC strength values of perception trials (6 tones, 2
Fig 2. Theta-gamma PAC during encoding and retention. (A) Top: Time-frequency plot of mean gamma power modulation time-
locked to a 4-Hz (theta) oscillation during encoding in the right and left median belt (n = 7). Bottom: Theta (4 Hz) cycles for a 1-s time
window. Source data can be found at https://osf.io/m7dta/. (B) Memory vs. perception contrast during retention. Top: SEEG contacts
(left hippocampus (2 SEEG contacts, n = 2) and right auditory areas (15 SEEG contacts, n = 1)) showing a significant increase of theta (4
Hz)–gamma (30–90 Hz) PAC strength for memory trials as compared to perception trials during the silent (retention) delay (6 tones, 2 s
retention period). All results are displayed on the single subject T1 in the MNI space provided by SPM12. Source data can be found at
https://osf.io/m7dta/. (C) Bar plot shows theta-gamma PAC values averaged over trials and participants for memory and perception
conditions for the significant SEEG contacts displayed in (B). Circles show individual trials. Source data can be found at https://osf.io/
m7dta/. (D). T-values for the co-modulogram (in SEEG contacts identified in B) for memory versus perception contrast (p < .05, FDR
corrected). Source data can be found at https://osf.io/m7dta/.
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PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
s retention) during the retention period (permutation testing, 10,000 permutations), for each
participant and each of their SEEG contacts (Fig 2B). After computing this analysis for each
participant, we used the same cluster-based approach as for the analysis of oscillatory power
(see Methods). This analysis revealed a clear increase in theta-gamma PAC in the left hippo-
campus (2 SEEG contacts, n = 2) and right auditory regions (15 SEEG contacts, n = 1) in the
memory condition compared to the perception condition (Fig 2B and 2C, all ps < 0.001; see
S3 Table for coordinates).
However, one can question whether this coupling was specific to theta and gamma oscilla-
tions as theta-beta, alpha-gamma, and alpha-beta PAC have previously been reported during
working memory [42]. To test whether this effect was specific to the phase of the theta and the
amplitude of the gamma oscillations, we computed the same analysis in the SEEG contacts
showing significant PAC increase in the memory versus perception contrast (displayed Fig 2B;
see S3 Table for details and coordinates), but using multiple low frequencies as frequency for
phase (4 to 11 Hz, i.e., theta to alpha) and multiple high frequencies as frequency for amplitude
(15 to 140 Hz, i.e., beta to high gamma; see Fig 2D). Interestingly, the memory versus percep-
tion contrast performed on these co-modulograms (p < .05, FDR corrected) revealed that the
maximum increase in PAC strength for memory trials as compared to perception trials was
observed between theta (4 to 6 Hz) as frequency for phase and gamma as frequency for ampli-
tude (35 to 105 Hz). Note that we performed the same analysis in all SEEG contacts located in
regions showing increased theta and gamma power relative to baseline during retention
(Fig 1F, middle panel, coordinates in the Supporting information). This analysis revealed no
significant difference of PAC strength between memory and perception trials after FDR cor-
rection (see S3 Fig for illustration of the difference of PAC strength values between memory
and perception trials)
Theta-gamma PAC in fronto-temporal areas and hippocampus decodes
correct and incorrect memory trials and correlates with auditory STM
performance
We then investigated whether the strength of theta-gamma PAC during memory retention
can decode correct and incorrect memory trials and predict STM performance. To do so, we
used the SEEG data and the behavioral data of all memory conditions for each participant. We
first used a support vector machine (SVM) classifier with 3-fold cross-validation to classify
correct and incorrect trials in all memory conditions, using only PAC strength in each SEEG
contact as input features (see Methods). This approach was implemented for each participant:
The model is trained only on data from 2/3 of the trials to predict whether a trial is correct or
incorrect in the remaining 1/3 of the trials. The procedure is repeated 3 times, and the sum-
mary of the SVM’s performance (average of all models) reflects, for each participant, the
degree to which correct and incorrect STM trials can be discriminated based on PAC strength.
As all participants had more correct than incorrect trials for all memory conditions, we made a
random selection of the correct trials (to match the number of incorrect trials for each condi-
tion) to train and test the classifier. Then, we repeated this analysis 100 times with 100 different
random selection of correct trials for each participant. SVM’s performance was evaluated
using the output of the 100 models (accuracy minus chance) for each participant.
The models significantly classified correct and incorrect memory trials above chance in 12/
16 participants (all ps < .03 as measured by a Wilcoxon rank test; Fig 3A; ROC curves for each
participant are presented in Fig 3B). We then aimed to define the SEEG features (i.e., SEEG
contacts) the models relied upon to discriminate correct and incorrect STM trials. For each
participant with significant above chance decoding accuracy, we extracted the feature weights
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PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
Fig 3. PAC as markers of correct vs. incorrect memory retention identified with machine learning. (A) SVM
decoding accuracy (accuracy minus chance—chance level: 0%) for a 2-class decoding analysis of PAC strength and
SEEG contacts as features (correct vs. incorrect memory retention in all memory conditions). The colored bars
represent accuracy minus chance for each participant (sorted as a function of accuracy with a jet colormap). Orange
shaded rectangle overlaps with participants showing decoding accuracy significantly above chance. Blue shaded
rectangle overlaps with participants with decoding accuracy not significantly different from chance. Asterisk:
significant, ns: nonsignificant. Source data can be found at https://osf.io/m7dta/ (B) ROC for each participant (same
color code as in A). Black dashed line represents the chance level. Source data can be found at https://osf.io/m7dta/.
(C) Normalized feature weights showing features (SEEG contacts) with the largest influence (z-score) for each
participant with significant decoding accuracy. Source data can be found at https://osf.io/m7dta/. PAC, phase
amplitude coupling; ROC, receiver operating characteristic curve; SVM, support vector machineAU : AbbreviationlistshavebeencompiledforthoseusedinFigs3 (cid:0) 5:Pleaseverifythatallentriesarecorrectlyabbreviated:
.
https://doi.org/10.1371/journal.pbio.3002512.g003
to estimate their relative importance (z-scored, normalized across features for each partici-
pant) in the classification. We then extracted the SEEG contact showing the maximum zscore
value (i.e., contributing more to the classification) for each participant and represented it on a
MRI volume (Fig 3C). This analysis revealed that the right and left hippocampus, the right
IFG, the right and left primary auditory cortices, the left STS, and the left ITG (see S4 Table for
details) were the brain regions where PAC strength allowed to classify correct and incorrect
memory trials.
It is relevant to note, however, that this analysis does not allow to infer whether PAC
strength in the identified brain regions was associated to good or poor performance. Indeed,
the features weights shown in Fig 3C can be used only to infer that PAC strength in these
given SEEG contacts can decode correct and incorrect memory trials.
We thus investigated whether theta-gamma PAC during memory retention can be corre-
lated to STM performance. To do so, we used the SEEG data and the behavioral data of all
memory conditions for each participant. This allowed us to benefit from the variability in
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PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
Fig 4. Theta-gamma PAC in the hippocampus and ventral auditory stream correlates with behavior. (A) Left panel: SEEG contacts showing a
positive correlational relationship between theta-gamma PAC and performance (negative correlation with IES). Results are displayed on the single
subject T1 in the MNI space provided by SPM12. Right panel: Scatter plot of IES (note that the scale is inverted for clarity: 5 corresponding to poor
performance and 0 corresponding to good performance) against theta-gamma PAC strength for each significant SEEG contact. Each color depicts a
different participant (N = 6). Source data can be found at https://osf.io/m7dta/. (B) Left panel: SEEG contacts showing a negative correlational
relationship between theta-gamma PAC and performance (positive correlation with IES). Results are displayed on the single subject T1 in the MNI
space provided by SPM12. Right panel: Scatter plot of IES (note that the scale is inverted for clarity: 5 corresponding to poor performance and 0
corresponding to good performance) against theta-gamma PAC strength for each significant SEEG contact. Colors show the different participant
(N = 4). Source data can be found at https://osf.io/m7dta/. IES, inverse efficiency score; PAC, phase amplitude coupling.
https://doi.org/10.1371/journal.pbio.3002512.g004
behavioral performance associated with the manipulation of the memory load and of the dura-
tion of the retention period. As a significant effect of condition emerged for the accuracy data
(Fig 1B), but not for the RT data (Fig 1C), we computed for each trial the inverse efficiency
score (IES; correct RT at the single trial scale/percent correct in the corresponding condition;
see [43] and Methods). This behavioral metric increased the variability of behavioral scores
between memory conditions with a low score representing a rapid RT and a high percentage
of correctness. We then performed a Pearson’s correlation between IES and PAC strength val-
ues for each SEEG contact and each participant (across all conditions). This analysis revealed,
after cluster correction, that theta-gamma PAC values in the left hippocampus (4 SEEG con-
tacts, n = 2), left superior temporal sulcus (STS; 2 SEEG contacts, n = 2), right inferior tempo-
ral gyrus (ITG; 2 SEEG contacts, n = 2), and left inferior frontal gyrus/insula (IFG; 2 SEEG
contacts, n = 2) had a positive correlational relationship with performance (i.e., negatively cor-
related with the IES; Fig 4A and see S5 Table). Moreover, this analysis also revealed that theta-
gamma PAC in the left Heschl’s gyrus (4 SEEG contacts, n = 4) had a negative relationship
with performance (positively correlated with the IES; Fig 4B and S6 Table). Note that we per-
formed the same analysis only with the conditions that were performed by all 16 participants
(see Table 1) and obtained similar results (see S4 Fig).
Coupling phase is consistent across participants and trials
The analyses presented in Figs 2 to 4 evaluated PAC strength for each participant (coupling
consistent across trials, within participant). However, these analyses do not guarantee that the
coupling occurred at the same phase for all participants: Different participants could show a
preferred coupling at different phases of the theta oscillations. To investigate this question, we
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PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
further evaluated whether gamma bursts were consistently restricted to specific phase ranges
of the theta oscillations across participants in regions identified in Fig 4A (using data of all
conditions available for the participants showing significant effects in Fig 4A). We first com-
puted the theta-gamma phase consistency across trials, for the SEEG contacts where the PAC
strength was correlated with behavioral performance (see Fig 4A and S5 Table). For each trial,
and each SEEG contact, we extracted the magnitude of gamma oscillations (30 to 90 Hz) as a
function of the phase of the theta oscillation (4 Hz) (average over the entire retention period,
theta phase divided into 8 bins; see Methods). In both memory (correct trials) and perception
trials separately, we computed the intertrial phase locking value (PLV) as a measure of inter-
trial phase consistency of the coupling. Then, this metric was contrasted between memory and
perception trials (Wilcoxon rank test) for each region (grouping SEEG contacts as a function
of their location in the AAL atlas; Fig 5A). As expected, this analysis revealed greater consis-
tency in theta-gamma PAC for memory as compared to perception trials for all regions (all p-
values < .0001; Fig 5B).
Finally, we aimed to identify whether a specific coupling phase range between the phase of
the theta oscillations and the amplitude of gamma oscillations can be identified in these
regions across trials and participants. To do so, we used linear mixed models (LMM) and mod-
eled the variability between participants by defining by-participant random intercepts. This
analysis was done for each region with theta phase bin as fixed factors and participants as a
random factor (using data of all memory conditions available for the participants showing sig-
nificant effects in Fig 4A). For all regions, we observed a main effect of theta phase (all χ2 (7)
> 18.7; all ps < .01) on the gamma power. Post hoc Tukey analysis revealed increased gamma
power between −π/2 and 0 of the theta cycle as compared to other bins in all regions (Fig 5C,
see S7–S10 Tables for detailed statistics).
Discussion
Using intracranial electrophysiological recordings in humans, we showed that (i) the
strength of theta-gamma PAC in temporal regions and hippocampus was increased during
the short-term retention of auditory sequences as compared to simple perception; (ii) the
strength of theta-gamma PAC in STS, ITG, IFG, and hippocampus decode correct and
incorrect memory trials as evaluated with machine learning; (iii) the strength of theta-
gamma PAC in these regions was positively correlated with individual STM performance;
and, finally, that (iv) the coupling phase was highly consistent in these regions across indi-
vidual participants to enable successful memory performance (high-frequency oscillations
consistently restricted to specific phase ranges of the theta oscillations). The implications of
these findings are discussed below.
Increasing memory load and duration of the silent retention period
decrease performance
In line with previous studies, the present behavioral findings indicated that participants’ STM
abilities (as also observed for other materials, such as verbal or visuo-spatial) decreased with
increasing duration of the silent retention period [44] and increasing memory load ([45]; see
Fig 1B). In the present study, we used these manipulations to increase the variability in task
difficulty (and, consequently, modulate participants’ behavioral performance) across condi-
tions. By combining information from accuracy and response times, we extracted a behavioral
measure for each trial (IES; see methods and [43]) that we used to investigate the link between
PAC strength values and behavior for each participant.
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PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
Fig 5. Theta gamma PAC is consistent across trials and participants. (A) SEEG contacts identified in Fig 4A and
grouped as a function of their location according to the AAL Atlas: green, left STS; red, left hippocampus; blue, right
ITG; yellow, left IFG/insula. Regions are displayed on the single subject T1 in the MNI space provided by SPM12.
Source data can be found at https://osf.io/m7dta/. (B) PAC intertrial phase consistency computed for each region. Bar
plot shows intertrial phase locking values across participants and SEEG contacts for memory trials (correct responses,
colored as a function of the regions) and perception trials in the same region. Error bars indicate SEM. Asterisk
indicates significance. Source data can be found at https://osf.io/m7dta/. (C) Preferred coupling phase: gamma power
presented as a function of theta phase bins for each region. Shading represents the standard deviation across trials and
participants. Asterisks (*** p < .001; * p < .05) and grey shading indicate significance. Note that for clarity, we show
only the results for the post hoc tests performed for the peak of gamma power for each region. Detailed post hoc
statistics are reported in S7–S10 Tables. Source data can be found at https://osf.io/m7dta/. IFG, inferior frontal gyrus;
ITG, inferior temporal gyrus; PAC, phase amplitude coupling; STS, superior temporal sulcus.
https://doi.org/10.1371/journal.pbio.3002512.g005
Brain networks of auditory perception and short-term memory
Time-frequency analyses revealed that transient gamma activity was evoked by each tone of
the sequence in the auditory cortex, secondary auditory regions, hippocampus, and several
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PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
areas of the ventral pathway during the encoding and retrieval periods of the STM task and the
equivalent periods of the perception task (see Fig 1C and 1D). It is well established that gamma
oscillations are marking bottom-up and local (intraregional) processes during both passive
and active sensory integration [46,47]. Observing such transient bursts after each tone of the
to-be-encoded sequence can thus be considered as a marker of the integration of tones’ fea-
tures by the sensory system (bottom-up).
In addition, sustained theta oscillations were observed in distributed regions of the ventral
pathway, including STS, STG, IFG, and hippocampus (see Supporting information) during
encoding, retention, and retrieval. Theta oscillations (4 to 8 Hz) are typically considered as
markers of attention, arousal, or memory during demanding cognitive tasks [48–50]. Notably,
theta oscillations are known to play a key role in ordering items that are presented sequentially
in STM or WM [51]. Moreover, theta oscillations have been associated to long-range commu-
nication between distant brain regions during memory maintenance [49,50,52–54]. In the
present study, an increase relative to baseline in theta power was observed in the hippocampus,
inferior frontal regions, and secondary auditory regions, a brain network that has been consis-
tently reported as being recruited during auditory STM tasks [15,55–57] (Fig 1F).
However, during all phases of the task (referred to as encoding, retention, and retrieval
periods for the memory task and their equivalent for the perception task), we did not observe
any significant differences of gamma and theta magnitude between memory and perception
trials. This result contrasts with the studies reported above [49,50,52–54]. A possible interpre-
tation would be that the participants have been carrying out a form of WM during the percep-
tion task (always performed after the memory condition; see Methods) even if they were not
instructed to do so. An alternative interpretation would be that the fluctuations in oscillatory
magnitude in the theta and gamma frequency ranges extracted in the present study were not
specific to memory and might rather be associated with the perception of the sequence and
attention towards the auditory input (note that even in the perception task, participants had to
pay attention to the sound sequences to push a button at the end of S2).We thus aimed to
define whether more fine-grained oscillatory markers related to memory retention can be
identified with the investigation of theta-gamma PAC.
Theta-gamma PAC in auditory and hippocampal regions is associated to
auditory short-term memory retention
During encoding, we observed that gamma oscillations were nested in the theta cycle in the
auditory cortex (see Fig 2A for illustration). This effect was expected as each tone of the
sequence induced a time-locked (or evoked) increase in gamma power, and the phase of the
theta oscillation was entrained by the tone presentation rate (4 Hz; see [49,54] for basic princi-
ples of sensory entrainment). We then investigated whether this statistical dependency
between the phase of theta oscillations and the amplitude of gamma oscillations was still pres-
ent during the retention period, a time window for which no stimuli were presented. More
specifically, we investigated whether PAC signals were increased during memory retention as
compared to perception. In the left hippocampus and right temporal regions, the strength of
theta-gamma PAC was indeed significantly higher during the retention delay in the memory
condition compared to the perception condition (see Fig 2B and S3 Table). It is relevant to
note that this effect was observed in a limited number of SEEG contacts and participants. This
is related to the cluster correction procedure we have used that keep only SEEG contacts that
overlap between participants or contacts. One possible interpretation is that PAC during
memory retention could result from sustained PAC signals that originally emerged during
encoding (see Fig 2A; PAC coming from bottom-up entrainment at 4 Hz). It can thus be
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PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
argued that the significant effect observed between memory retention and perception could
result from attentional differences for memory and perception trials during encoding (partici-
pants paying more attention during memory than perception trials). However, one can argue
that attentional effects could not only be observed in PAC measures but could also affect theta
and gamma magnitude [58]. As the contrast between memory trials and perception trials for
theta and gamma magnitude was not significant in the present study, we propose that these
PAC effects were specific to memory.
These results thus suggest a role of the hippocampus in auditory STM. This is in line with
several neuroimaging studies in the visual modality [16,18,19,38] and also with recent single-
unit recording studies in humans reporting increased neural firing in the hippocampus during
the maintenance of visual representations [22,23,59]. For auditory STM, hippocampal involve-
ment has, however, been less frequently described in previous research. Using an auditory
STM task during fMRI recordings, Kumar and colleagues [15] have shown sustained activity
in both ventral and dorsal parts of the hippocampus during an auditory STM task. Here, we
observed activity mainly in its ventral part (y = −4), a finding fitting well with the fact that the
anterior portion of the hippocampus is anatomically and functionally connected to auditory
areas [60,61]. Interestingly, Kumar and colleagues [15] also reported that the pattern of fMRI
activity in hippocampal areas allows the decoding of the different sounds maintained in mem-
ory. Our present study goes beyond these findings by identifying the neurophysiological mech-
anism by which the hippocampus supports retention of auditory information in memory.
Indeed, here we showed that theta-gamma PAC in the hippocampus and temporal regions
(STS, ITG) decodes correct and incorrect memory trials (Fig 3A and S4 Table) and was posi-
tively correlated with behavioral performance (negative correlation with IES; Fig 4A and 4B
and S5 Table). This finding is well aligned with previous research showing that hippocampal
theta-gamma PAC plays a functional role during memory retention for visual material
[18,20,37,38]. In the present study, we show that the temporal and hippocampal regions imple-
ment the same electrophysiological mechanism to allow for the maintenance of sequential
auditory information, a finding that has, to our knowledge, never been reported before. This
finding is also well aligned with a recent study showing cortico-hippocampal interplay in the
theta range during both encoding and retention of a STM task with visually presented words
[62]. Taken together, our results suggest a clear role of theta-gamma PAC in the temporal and
hippocampal regions during auditory STM in the human brain.
In addition to auditory and hippocampal regions, we observed that theta-gamma PAC
strength in the left IFG decodes correct and incorrect memory trials (Fig 3A and S4 Table) and
was positively correlated with behavioral performance (negative correlation with IES; Fig 4A and
S5 Table). This is in line with the well-established role of the IFG in STM maintenance in humans
[15,50,55–57,63–69].Interestingly, we also observed that theta-gamma PAC in Heschl’s gyrus
during memory retention was negatively correlated with behavioral performance (positive corre-
lational relationship with IES; Fig 4B). This result suggests that to perform successfully the STM
task, PAC signals need to reach higher-level regions, namely, STS, ITG, hippocampus, and infe-
rior frontal regions, to allow for efficient maintenance of the information. This hypothesis
receives support in a recent study showing that theta and gamma activity in the human hippo-
campus is associated with successful recall when extrahippocampal activation patterns shifted
from perceptual toward mnemonic representations. This study also suggests that recurrent hip-
pocampal–cortical interactions are then implemented to support memory processing [70].
From a more global perspective, our results are in agreement with the theta-gamma neural
code hypothesis developed by Lisman and Jensen [31], proposing that cross-frequency signal-
ing in cortico-hippocampal networks is a sophisticated mechanism implanted by the brain to
hold sequentially organized information in memory [20,25,31]. This hypothesis assumes that
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PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
representations of individual encoded items (via high-frequency oscillations) do not occur
during the entire cycle of low-frequency oscillations. Instead, these high-frequency oscillations
are thought to be restricted to specific phase ranges of the slow oscillation that correspond to
higher levels of neural excitability [20,31,71]. To test the validity of this model, we investigated
for each region whether the gamma bursts in the present data were consistently restricted to a
specific phase range of the theta oscillations across trials and participants.
Consistent phase coupling across participants during successful memory
performance
We extracted the PAC consistency across trials and participants in the brain regions where PAC
strength was positively predicting behavioural performance (see Fig 5A and S5 Table). Inter-
trial-phase locking analysis on these signals revealed greater consistency in theta-gamma PAC
for memory trials than for perception trials in all regions (Fig 5B). We then aimed to identify
whether a preferred coupling phase range could be identified. We observed that, for correct
memory trials, the gamma bursts were occurring consistently at a specific phase range of the
theta cycle in the left STS, right ITG, left IFG, and the left hippocampus (see Fig 5C and S7–S10
Tables). This preferred phase is of interest because it suggests that similar mechanisms are
implemented in this network across trials and participants. Interestingly, the gamma burst
occurred from the trough of the theta cycle to its peak. As shown in earlier research, the phase
of theta oscillation reflects rhythmic fluctuations of neural excitability [72]. Such cycles, occur-
ring several times per second, represent fluctuations between (high-excitability) phases during
which relevant information is amplified and (low-excitability) phases during which information
is suppressed. Here, we observed high coupling consistency between −π/2 and 0 of the theta
cycle, a phase range corresponding to a high-excitability period of the oscillation where infor-
mation processing can be amplified [25,31,72]. Observing this effect only for correct memory
trials is another important cue suggesting that fronto-auditory-hippocampal theta-gamma PAC
allows successful integration and the retention of sequential auditory information in STM.
Overall, our study provides new information about the neurophysiological mechanisms by
which the fronto-temporal-hippocampal network encodes and maintains sequential auditory
information. The findings provide crucial insights into the networks and brain dynamics
involved in this fundamental process in the auditory modality.
Methods
Participants
Intracranial recordings were obtained from 16 neurosurgical patients with drug-resistant focal
epilepsy (8 females and 8 males, mean age: 32.6 +/− 8.73 years) at the Epilepsy Department of
the Grenoble Neurological Hospital (Grenoble, France) and the Epilepsy Department of Lyon
Neurological Hospital (Lyon, France). All patients were stereotactically implanted with multi-
lead EEG depth electrodes. Data from all electrodes exhibiting pathological waveforms were
discarded from the present study. All participants provided written informed consent, and the
experimental procedures were approved by the appropriate regional ethics committee (CPP
Sud-Est V, 2009-A00239-48). The study has been conducted according to the principles
expressed in the Declaration of Helsinki.
Task and conditions
The participants were asked to perform an auditory STM task, consisting in the comparison of
tone sequences presented in pairs and separated by a silent retention period. Participants also
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PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
performed a block of passive listening of these trials in which they were required to ignore the
content of tone sequences and press a button as fast as possible at the end of S2. To manipulate
task difficulty (only for the memory task), in different blocks, we varied the memory load (3 or
6 to-be-encoded items) as well as the duration of the silent retention period between the to-be-
compared sequences (2 s, 4 s, and 8 s; see Table 1 for a detailed description of the conditions).
All tone sequences were composed of 250-ms-long piano tones presented sequentially without
interstimulus interval. The 2 sequences could be either the same or different (50% of each trial
type). For “different” trials, the second sequence differed by a single tone altering the melodic
contour (Fig 1A). For the 6-tone melodies, 120 different tone sequences were created using 8
piano tones differing in pitch height (Cubase software, melodies from [55]); all used tones
belonged to the key of C Major (C3, D3, E3, F3, G3, A3, B3, C4). For the 3-tone sequences, 60
different tone sequences were created using the same pool of piano tones (material from
[55,56]).
Procedure
Presentation software (Neurobehavioral Systems, Albany, CA, USA) was used for the delivery
of the experimental protocol to present the auditory stimuli and to register button presses. For
each trial, participants listened binaurally (presented with headphone at a comfortable listen-
ing level) to the first 3- or 6-tone sequence with a total respective duration of 750 or 1,500 ms
(encoding, S1), followed by a silent retention period (2, 4, or 8 s), and then the second
sequence (retrieval, S2, 750 or 1,500 ms duration). Conditions were counterbalanced across
participants. Participants were informed of the block order and were asked to indicate their
answers by pressing one of 2 keys with their right hand after the end of S2. Their responses
were recorded during the first 2 s of the intertrial interval, whose random duration was com-
prised between 2.5 and 3 s. No feedback was given during the experiment. Each block of the
task included 30 trials (15 “same” trials and 15 “different” trials for each condition). Within
each block, the trials were presented in a pseudorandomized order; the same trial type (i.e.,
“same” or “different”) could not be repeated more than 3 times in a row. Before the first ses-
sion, participants performed a set of 10 practice trials (with melodies not used in the main
experiment).
Analysis of behavioral data
Task performance was measured with d prime (Signal Detection Theory). RTs were measured
from the end of S2. Behavioral data were analyzed with nonparametric repeated measures
ANOVA (Friedman) and Wilcoxon rank test (see Results). The IES was calculated for each
trial. IES is computed by normalizing, at the single trial scale, the participant RT by their
respective percentage of correct responses in each condition. As compared to RTs, this beha-
vioural metric increases the variability of behavioural scores with a low score representing a
short RT and a high percentage of correctness [43]. Correlation analysis between performance
at the single trial level and brain data (PAC values; see below) were performed using IES.
Localization of depth electrodes
In each patient’s brain, 10 to 16 semirigid, multilead electrodes were stereotactically implanted.
The SEEG electrodes had a diameter of 0.8 mm and, depending on the target structure, consist
of 10 to 15 contact leads 2.0 mm wide and 1.5 mm apart (DIXI Medical Instruments). All par-
ticipants underwent two 3D anatomical MPRAGE T1-weighted MRI scan on a 1.5T Siemens
Sonata scanner or on a 3T Siemens Trio (Siemens AG, Erlangen, Germany) before implanta-
tion and just after the SEEG implantation. The anatomical volume consisted of 160 sagittal
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PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
slices with 1 mm3 voxel, covering the whole brain. The scalp and cortical surfaces were
extracted from the T1-weighted anatomical MRI. All electrode contacts were identified on the
post-implantation MRI showing the electrodes and coregistered on a pre-implantation MRI
(ImaGIN toolbox; https://f-tract.eu/software/imagin/). MNI coordinates were computed using
the SPM (http://www.fil.ion.ucl.ac.uk/spm/) toolbox. In addition to MNI coordinates, we
computed the localization of the SEEG contacts in the AAL3 atlas [73].
Intracranial recordings
Intracranial recordings were conducted using a video-SEEG monitoring system (Micromed),
which allowed the simultaneous data recording from 128 depth EEG electrode sites (identical
acquisition system and acquisition parameters in the 2 recording sites). The data were band-
pass filtered online from 0.1 to 200 Hz and sampled at 512 Hz for all patients. At the time of
acquisition, data were recorded using a reference electrode located in white matter, and each
electrode trace was subsequently re-referenced to its immediate neighbour (bipolar deriva-
tions). This bipolar montage has several advantages over common referencing. It helps elimi-
nating signal artifacts common to adjacent electrode contacts (such as the 50 Hz mains artifact
or distant physiological artifacts) and achieves a high local specificity by cancelling out effects
of distant sources that spread equally to both adjacent sites through volume conduction. The
spatial resolution achieved by the bipolar SEEG is estimated to be on the order of 3 mm [74].
Preprocessing
SEEG data were preprocessed and visually checked to reject contacts contaminated by patho-
logical epileptic activity or environmental artifacts. Powerline contamination of the raw data
(main 50 Hz, harmonics 100 and 150 Hz) was reduced using notch filtering. Then, data were
epoched to create trials with a window of 1,000 ms before the onset of S1 and 500 ms after the
end of the last stimulus of the S2 sequence. SEEG contacts showing signal values exceeding
1,500 μV during the trial time window were excluded from the analysis: As a result, between
17 and 30 trials were kept for each participant and condition.
Time-frequency analysis in Heschl’s gyrus and hippocampus
We first performed time-frequency Morlet analysis for the SEEG contacts located in the right
and left Heschl’s gyrus and bilateral hippocampus (according to the AAL atlas). This analysis
was done to define the frequency bands of interest for the whole brain Hilbert’s analysis and to
define the frequency for phase and frequency for amplitude for the PAC analysis. Time-fre-
quency Morlet analysis was computed based on a wavelet transform of the signals [75]. The
wavelet family was defined by (f0 /sf) = 7 with f0 ranging from 1 to 150 Hz in 1 Hz steps. The
time-frequency wavelet transform was applied to each SEEG contact, each trial, and then
power was averaged across trials, resulting in an estimate of oscillatory power at each time
sample and each frequency bin between 1 and 150 Hz. Note that both evoked and induced
activity were estimated. We then performed a normalization (z-scoring) with −1,000 to 0 ms
preceding the presentation of the S1 sequence as baseline. Time-frequency plots of SEEG con-
tacts were regrouped in left and right Heschl’s gyrus and bilateral hippocampus across partici-
pants using the AAL3 brain atlas. By doing so, we were able to investigate the data of several
participants on one time-frequency map per area. Normalized and averaged time-frequency
maps of the auditory cortex and hippocampus were used to define the frequency for phase and
frequency for amplitude for the PAC analysis (see below). Frequency for amplitude was
defined from 30 Hz to 90 Hz as it matched with the amplitude of time-frequency maps gamma
bursts in the auditory cortex (see also [18] for similar parameters). Frequency for phase was
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PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
defined at 4 Hz because sustained theta power at 4 Hz was observed in the auditory cortex dur-
ing encoding (Fig 1D), and this frequency matched the frequency of presentation of the
stimuli.
Hilbert transform
Once the frequency bands of interest were defined, we aimed to investigate if fluctuation of
theta and gamma power were associated to memory processes (as compared to perception). In
order to perform this analysis at the whole brain level and to reduce the dimension of the data,
we computed for each participant the Hilbert transform for correct trials for each period of the
STM task (encoding, retention, and retrieval, average in time for each time period; see Table 1)
and the corresponding periods of the perception task. We extracted the magnitude of theta
activity at 4 Hz and gamma activity between 30 to 90 Hz for each trial for each SEEG contact.
These data were then used to contrast brain activity in the memory conditions and baseline
and to contrast brain activity in the memory and perception conditions using permutation
tests as implemented in MATLAB. Contrasts with baseline were corrected for multiple com-
parison using FDR corrections. Memory versus perception contrast were corrected with a
cluster procedure (see below).
Phase amplitude coupling
Theta-gamma PAC was computed using the method developed by [76]. Frequency for phase
and frequencies for amplitudes were defined by a power spectrum density analysis on SEEG
contacts located in the auditory cortex and in the hippocampus and computed over the total
duration of a trial time window (0 to 5.5 s for the 6 tones, 2 s memory condition as this condi-
tion was performed by all 16 participants). Frequency for phase was selected as the frequency
showing the highest peak in the theta band (4 to 8 Hz) in the auditory cortex and hippocampus
(see Fig 1D and 1E) and frequency for amplitude was defined as a 60-Hz-width frequency
band centered on the highest peak in the gamma band (peak at 60 Hz ± 30 Hz resulting in a
band between 30 and 90 Hz) in the auditory cortex. Based on these results (see Fig 1D and 1E),
we used 4 Hz as the frequency for phase (frequency of presentation of stimuli) and 30 to 90 Hz
as the frequency for amplitude for the PAC analyses. As no high gamma peak emerged in this
PSD analysis, we did not investigate PAC for frequencies above 90 Hz.
3D representation and cluster procedure
For all PAC analyses and Hilbert data, significant SEEG contacts were plotted on a MNI MRI
volume using marsbar and SPM functions [77]. To do so, we extracted the MNI coordinate of
each SEEG contact and represent the oscillatory magnitude and PAC values on spheres of 4
mm radius in the MRI volume. PAC plots were corrected with a cluster approach: by consider-
ing as significant only the contacts that were overlapping across at least 2 participants or 2
SEEG contacts in the MRI volume.
Multivariate analyses
Multivariate analyses were performed using MATLAB and SVM implementation (https://
www.mathworks.com/help/stats/fitcecoc.html). A linear classifier was chosen as SEEG data
contains many more features than examples, and classification of such data is generally suscep-
tible to overfitting. One way of alleviating the danger of overfitting is to choose a simple func-
tion (such as a linear function) for classification, where each feature affects the prediction
solely via its weight and without interaction with other features (rather than more complex
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PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
classifiers, such as nonlinear SVMs or artificial neural networks, which can let interactions
between features and nonlinear functions thereof drive the prediction). Our strategy was to
use the SVM classifier with 3-fold cross-validation to classify correct and incorrect memory
trials of all memory conditions, using the SEEG contact as features. For each participant, the
1/
model is trained only on data 2/3 of the trials to predict whether each trial in the remainingAU : Pleasecheckandconfirmthattheeditto}Foreachparticipant; themodelistrainedonlyondata:::}didnotaltertheintendedmeaningofthesentence:
3 set of trials is correct or incorrect. The procedure is repeated 3 further times to estimate the
classification performance across the full set folds. As all participants had more correct than
incorrect trials for all memory conditions, we made a random selection of the correct trials (to
match the number of incorrect trials for each condition) to train and test the classifier. Then,
we repeated this analysis 100 times with 100 different random selection of correct trials for
each participant. SVM’s performance was evaluated using the output of the 100 models (accu-
racy minus chance) for each subject. For each subject with above chance decoding accuracy,
we extracted the features weights (zscore) to evaluate the relative contribution of each feature
(SEEG contact) in the classification.
Phase consistency analysis
We extracted the PAC consistency across trials and participants in the brain regions where the
PAC strength was correlated with behavioural performance (see Figs 4A and 5A and S5
Table). For each trial, we extracted the magnitude of gamma oscillations (30 to 90 Hz) as a
function of the phase of the theta oscillation (4 Hz; phase divided into 8 bins). We then
extracted the intertrial phase locking (PLV) on these signals using PLV functions available in
Brainstorm. To identify whether significant preferred coupling phase could be identified, we
extracted for each SEEG contact the gamma power for 8 different phase bins of the theta cycle.
To define if a preferred coupling phase can be identified across trials and participant for each
region, we used LMMs. The variability between participants was modeled by defining by-par-
ticipant random intercepts. LMMs were performed in R 3.4.1 using the lme4 [78] and car [79]
packages. Both fixed and random factors were considered in statistical modeling. Wald chi-
squared tests were used for fixed effects in LMM [79]. The fixed effect represents the mean
effect across all participants after accounting for variability. We considered the results of the
main analyses significant at p < .05. When we found a significant main effect, post hoc honest
significant difference (HSD) tests were systematically performed using the R emmeans pack-
age (emmeans version 1.6.3). P values were considered as significant at p < .05 and were
adjusted for the number of comparisons performed. More precisely, to avoid increased Type I
error when multiple comparisons were performed, the p-value of the Tukey HSD test was
adjusted using the Tukey method for comparing the given number of estimates.
Supporting information
S1 Fig. Brain oscillations displayed with a logarithmic scale for the frequency axis. (A) T-
values in the time-frequency domain (t test relative to baseline −1,000 to 0 before stimulus
onset, FDR corrected in time and frequency domains) of SEEG contacts located in the right
and left Heschl’s gyrus (displayed on the single subject T1 in the MNI space provided by
SPM12) for a trial time window (−1,000 to 6,000 ms) for the condition 6-tone memory load, 2
s retention period (n = 5). (B) T-values in the time-frequency domain (t test relative to baseline
−1,000 to 0 before stimulus onset, FDR corrected in time and frequency domains) of SEEG
contacts located in the right and left hippocampus (displayed on the single subject T1 in the
MNI space provided by SPM12) for a trial time window (−1,000 to 6,000 ms) for the condition
6-tone memory load, 2 s retention period (n = 14).
(PDF)
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PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
S2 Fig. Theta (orange) and gamma (red) magnitude averaged over SEEG contacts located
in regions showing increased power relative to baseline during retention presented as a
function of task (memory, perception). NS, nonsignificant.
(PDF)
S3 Fig. Memory minus perception (the colormap represents the difference in PAC strength
between memory and perception trial—note that the contrast is not significant) for the co-
modulogram in SEEG contacts that had previously shown an increase in theta and gamma
power identified in Fig 1F, retention period).
(PDF)
S4 Fig. Theta-gamma PAC in the hippocampus and ventral auditory stream correlates
with behavior. Left panel: SEEG contacts showing a positive (hot colormap) and negative
(blue colormap) relationship between theta-gamma PAC and performance using data from
conditions performed by all 16 participants (6 tones encoding 2 s retention and 6 tones encod-
ing 8 s retention). Results are displayed on the single subject T1 in the MNI space provided by
SPM12.
(PDF)
S1 Table. Regions and coordinates Fig 1D: Heschl’s gyrus.
(PDF)
S2 Table. Regions and coordinates Fig 1E: Hippocampal regions.
(PDF)
S3 Table. Regions and coordinates Fig 2B: PAC memory vs. perception L, Left; R, Right;
Sup, Superior; Mid, Middle; Inf, Inferior.
(PDF)
S4 Table. Coordinates of the maximum value (zscore) of the features weights for each par-
ticipant with significant above chance decoding accuracy—Fig 3C, L, Left; R, Right; Sup,
Superior; Mid, Middle; Inf, Inferior; Tri, Triangular.
(PDF)
S5 Table. Regions and coordinates Fig 4A: Correlation between PAC and IES, L, Left; R,
Right; Sup, Superior; Mid, Middle; Inf, Inferior; Oper, Opercular.
(PDF)
S6 Table. Regions and coordinates Fig 4B: Correlation between PAC and IES.
(PDF)
S7 Table. Post hoc tests of Fig 5C: Left STS.
(PDF)
S8 Table. Post hoc tests of Fig 5C: Left IFG.
(PDF)
S9 Table. Post hoc tests of Fig 5C: Left hippocampus.
(PDF)
S10 Table. Post hoc tests of Fig 5C: Right ITG.
(PDF)
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PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
Acknowledgments
We thank Luc H. Arnal for his insightful comments on a previous version of this manuscript.
Author Contributions
Conceptualization: Anne Caclin, Jean-Philippe Lachaux, Barbara Tillmann, Philippe Albouy.
Data curation: Arthur Borderie, Anne Caclin, Marcela Perrone-Bertollotti, Barbara Tillmann,
Philippe Albouy.
Formal analysis: Arthur Borderie, Roxane S. Hoyer, Philippe Albouy.
Funding acquisition: Barbara Tillmann, Philippe Albouy.
Investigation: Arthur Borderie, Marcela Perrone-Bertollotti, Philippe Albouy.
Methodology: Arthur Borderie, Jean-Philippe Lachaux, Philippe Kahane, He´lène Catenoix,
Philippe Albouy.
Project administration: Anne Caclin, Jean-Philippe Lachaux, Philippe Kahane, He´lène Cate-
noix, Barbara Tillmann, Philippe Albouy.
Resources: Anne Caclin, Jean-Philippe Lachaux, Philippe Kahane, He´lène Catenoix, Barbara
Tillmann, Philippe Albouy.
Software: Philippe Albouy.
Supervision: Anne Caclin, Barbara Tillmann, Philippe Albouy.
Validation: Philippe Albouy.
Visualization: Arthur Borderie, Philippe Albouy.
Writing – original draft: Arthur Borderie, Philippe Albouy.
Writing – review & editing: Arthur Borderie, Anne Caclin, Jean-Philippe Lachaux, Roxane S.
Hoyer, Philippe Kahane, He´lène Catenoix, Barbara Tillmann, Philippe Albouy.
References
1. Scoville WB, Milner B. Loss of recent memory after bilateral hippocampal lesions. J Neurol Neurosurg
Psychiatry. 1957; 20(1):11–21. https://doi.org/10.1136/jnnp.20.1.11 PMID: 13406589
2. Spiers HJ, Maguire EA, Burgess N. Hippocampal amnesia. Neurocase. 2001; 7(5):357–382. https://doi.
org/10.1076/neur.7.5.357.16245 PMID: 11744778
3. Baddeley AD, Warrington EK. Amnesia and the distinction between long-and short-term memory. J
Verb Learning Verb Behav. 1970; 9(2):176–189.
4. Cave CB, Squire LR. Intact verbal and nonverbal short-term memory following damage to the human
hippocampus. Hippocampus. 1992; 2(2):151–163. https://doi.org/10.1002/hipo.450020207 PMID:
1308180
5. Wickelgren WA. Sparing of short-term memory in an amnesic patient: Implications for strength theory of
memory. Neuropsychologia. 1968; 6(3):235–244.
6. Baddeley A, Jarrold C, Vargha-Khadem F. Working memory and the hippocampus. J Cogn Neurosci.
2011; 23(12):3855–3861. https://doi.org/10.1162/jocn_a_00066 PMID: 21671734
7.
Jeneson A, Squire LR. Working memory, long-term memory, and medial temporal lobe function. Learn
Mem. 2012; 19(1):15–25. https://doi.org/10.1101/lm.024018.111 PMID: 22180053
8. Atkinson RC, Shiffrin RM. Human memory: a proposed system and its control processes. In: Spence
KW, editor. The Psychology of Learning and Motivation: Advances in Research and Theory. 2. New
York: Academic Press; 1968. p. 89–195.
9.
James W. The Principles of Psychology. Holt H, editor. New York; 1890.
PLOS Biology | https://doi.org/10.1371/journal.pbio.3002512 March 5, 2024
20 / 24
PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
10. Michels L, Bucher K, Luchinger R, Klaver P, Martin E, Jeanmonod D, et al. Simultaneous EEG-fMRI
during a working memory task: modulations in low and high frequency bands. PLoS ONE. 2010; 5(4):
e10298. https://doi.org/10.1371/journal.pone.0010298 PMID: 20421978
11.
Zarahn E, Rakitin B, Abela D, Flynn J, Stern Y. Positive evidence against human hippocampal involve-
ment in working memory maintenance of familiar stimuli. Cereb Cortex. 2005; 15(3):303–316. https://
doi.org/10.1093/cercor/bhh132 PMID: 15342440
12. Buffalo EA, Reber PJ, Squire LR. The human perirhinal cortex and recognition memory. Hippocampus.
1998; 8(4):330–339. https://doi.org/10.1002/(SICI)1098-1063(1998)8:4<330::AID-HIPO3>3.0.CO;2-L
PMID: 9744420
13. Holdstock JS, Mayes AR, Gong QY, Roberts N, Kapur N. Item recognition is less impaired than recall
and associative recognition in a patient with selective hippocampal damage. Hippocampus. 2005; 15
(2):203–215. https://doi.org/10.1002/hipo.20046 PMID: 15390152
14. Olson IR, Moore KS, Stark M, Chatterjee A. Visual working memory is impaired when the medial tempo-
ral lobe is damaged. J Cogn Neurosci. 2006; 18(7):1087–1097. https://doi.org/10.1162/jocn.2006.18.7.
1087 PMID: 16839283
15. Kumar S, Joseph S, Gander PE, Barascud N, Halpern AR, Griffiths TD. A Brain System for Auditory
Working Memory. J Neurosci. 2016; 36(16):4492–4505. https://doi.org/10.1523/JNEUROSCI.4341-14.
2016 PMID: 27098693
16. Ranganath C D’Esposito M. Medial temporal lobe activity associated with active maintenance of novel
information. Neuron. 2001; 31(5):865–873.
17. Nichols EA, Kao YC, Verfaellie M, Gabrieli JD. Working memory and long-term memory for faces: Evi-
dence from fMRI and global amnesia for involvement of the medial temporal lobes. Hippocampus.
2006; 16(7):604–616. https://doi.org/10.1002/hipo.20190 PMID: 16770797
18. Axmacher N, Henseler MM, Jensen O, Weinreich I, Elger CE, Fell J. Cross-frequency coupling supports
multi-item working memory in the human hippocampus. Proc Natl Acad Sci U S A. 2010; 107(7):3228–
3233. https://doi.org/10.1073/pnas.0911531107 PMID: 20133762
19. Axmacher N, Mormann F, Fernandez G, Cohen MX, Elger CE, Fell J. Sustained neural activity patterns
during working memory in the human medial temporal lobe. J Neurosci. 2007; 27(29):7807–7816.
https://doi.org/10.1523/JNEUROSCI.0962-07.2007 PMID: 17634374
20. Bahramisharif A, Jensen O, Jacobs J, Lisman J. Serial representation of items during working memory
maintenance at letter-selective cortical sites. PLoS Biol. 2018; 16(8):e2003805. https://doi.org/10.1371/
journal.pbio.2003805 PMID: 30110320
21.
van Vugt MK, Schulze-Bonhage A, Litt B, Brandt A, Kahana MJ. Hippocampal gamma oscillations
increase with memory load. J Neurosci. 2010; 30(7):2694–2699. https://doi.org/10.1523/JNEUROSCI.
0567-09.2010 PMID: 20164353
22. Boran E, Fedele T, Klaver P, Hilfiker P, Stieglitz L, Grunwald T, et al. Persistent hippocampal neural fir-
ing and hippocampal-cortical coupling predict verbal working memory load. Sci Adv. 2019; 5(3):
eaav3687. https://doi.org/10.1126/sciadv.aav3687 PMID: 30944858
23. Kornblith S, Quian Quiroga R, Koch C, Fried I, Mormann F. Persistent Single-Neuron Activity during
Working Memory in the Human Medial Temporal Lobe. Curr Biol. 2017; 27(7):1026–1032. https://doi.
org/10.1016/j.cub.2017.02.013 PMID: 28318972
24. Billig AJ, Lad M, Sedley W, Griffiths TD. The hearing hippocampus. Prog Neurobiol. 2022; 218:102326.
https://doi.org/10.1016/j.pneurobio.2022.102326 PMID: 35870677
25.
26.
27.
Lisman J, Buzsaki G, Eichenbaum H, Nadel L, Ranganath C, Redish AD. Viewpoints: how the hippo-
campus contributes to memory, navigation and cognition. Nat Neurosci. 2017; 20(11):1434–1447.
https://doi.org/10.1038/nn.4661 PMID: 29073641
Fell J, Klaver P, Lehnertz K, Grunwald T, Schaller C, Elger CE, et al. Human memory formation is
accompanied by rhinal-hippocampal coupling and decoupling. Nat Neurosci. 2001; 4(12):1259–1264.
https://doi.org/10.1038/nn759 PMID: 11694886
Fell J, Ludowig E, Staresina BP, Wagner T, Kranz T, Elger CE, et al. Medial temporal theta/alpha power
enhancement precedes successful memory encoding: evidence based on intracranial EEG. J Neurosci.
2011; 31(14):5392–5397. https://doi.org/10.1523/JNEUROSCI.3668-10.2011 PMID: 21471374
28. Colgin LL, Moser EI. Gamma oscillations in the hippocampus. Physiology (Bethesda). 2010; 25
(5):319–329. https://doi.org/10.1152/physiol.00021.2010 PMID: 20940437
29. Canolty RT, Edwards E, Dalal SS, Soltani M, Nagarajan SS, Kirsch HE, et al. High gamma power is
phase-locked to theta oscillations in human neocortex. Science. 2006; 313(5793):1626–1628. https://
doi.org/10.1126/science.1128115 PMID: 16973878
30. Canolty RT, Knight RT. The functional role of cross-frequency coupling. Trends Cogn Sci. 2010; 14
(11):506–515. https://doi.org/10.1016/j.tics.2010.09.001 PMID: 20932795
PLOS Biology | https://doi.org/10.1371/journal.pbio.3002512 March 5, 2024
21 / 24
PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
31.
32.
33.
Lisman JE, Jensen O. The theta-gamma neural code. Neuron. 2013; 77(6):1002–1016.
Lisman JE, Idiart MA. Storage of 7 +/- 2 short-term memories in oscillatory subcycles. Science. 1995;
267(5203):1512–1515. https://doi.org/10.1126/science.7878473 PMID: 7878473
Fuentemilla L, Penny WD, Cashdollar N, Bunzeck N, Duzel E. Theta-coupled periodic replay in working
memory. Curr Biol. 2010; 20(7):606–612. https://doi.org/10.1016/j.cub.2010.01.057 PMID: 20303266
34. Bergmann TO, Born J. Phase-Amplitude Coupling: A General Mechanism for Memory Processing and
Synaptic Plasticity? Neuron. 2018; 97(1):10–13. https://doi.org/10.1016/j.neuron.2017.12.023 PMID:
29301097
35. Helfrich RF, Mander BA, Jagust WJ, Knight RT, Walker MP. Old Brains Come Uncoupled in Sleep:
Slow Wave-Spindle Synchrony, Brain Atrophy, and Forgetting. Neuron. 2018; 97(1):221–30 e4. https://
doi.org/10.1016/j.neuron.2017.11.020 PMID: 29249289
36. Mormann F, Fell J, Axmacher N, Weber B, Lehnertz K, Elger CE, et al. Phase/amplitude reset and
theta-gamma interaction in the human medial temporal lobe during a continuous word recognition mem-
ory task. Hippocampus. 2005; 15(7):890–900. https://doi.org/10.1002/hipo.20117 PMID: 16114010
37. Chaieb L, Leszczynski M, Axmacher N, Hohne M, Elger CE, Fell J. Theta-gamma phase-phase cou-
pling during working memory maintenance in the human hippocampus. Cogn Neurosci. 2015; 6
(4):149–157. https://doi.org/10.1080/17588928.2015.1058254 PMID: 26101947
38.
39.
Leszczynski M, Fell J, Axmacher N. Rhythmic Working Memory Activation in the Human Hippocampus.
Cell Rep. 2015; 13(6):1272–1282. https://doi.org/10.1016/j.celrep.2015.09.081 PMID: 26527004
Fontolan L, Morillon B, Liegeois-Chauvel C, Giraud AL. The contribution of frequency-specific activity to
hierarchical information processing in the human auditory cortex. Nat Commun. 2014; 5:4694. https://
doi.org/10.1038/ncomms5694 PMID: 25178489
40. Hyafil A, Fontolan L, Kabdebon C, Gutkin B, Giraud AL. Speech encoding by coupled cortical theta and
gamma oscillations. Elife. 2015; 4:e06213.
41.
42.
Lakatos P, Shah AS, Knuth KH, Ulbert I, Karmos G, Schroeder CE. An oscillatory hierarchy controlling
neuronal excitability and stimulus processing in the auditory cortex. J Neurophysiol. 2005; 94(3):1904–
1911. https://doi.org/10.1152/jn.00263.2005 PMID: 15901760
van der Meij R, Kahana M, Maris E. Phase-amplitude coupling in human electrocorticography is spa-
tially distributed and phase diverse. J Neurosci. 2012; 32(1):111–123. https://doi.org/10.1523/
JNEUROSCI.4816-11.2012 PMID: 22219274
43. Bruyer R, Brysbaert M. Combining Speed and Accuracy in Cognitive Psychology: Is the Inverse Effi-
ciency Score (IES) a Better Dependent Variable than the Mean Reaction Time (RT) and the Percentage
Of Errors (PE)? Psychologica Belgica. 2011; 51(1):1–5.
44. Williamson VJ, McDonald C, Deutsch D, Griffiths TD, Stewart L. Faster decline of pitch memory over
time in congenital amusia. Adv Cogn Psychol. 2010; 6:15–22. https://doi.org/10.2478/v10053-008-
0073-5 PMID: 20689638
45. Albouy P, Cousineau M, Caclin A, Tillmann B, Peretz I. Impaired encoding of rapid pitch information
underlies perception and memory deficits in congenital amusia. Sci Rep. 2016; 6:18861. https://doi.org/
10.1038/srep18861 PMID: 26732511
46. Siegel M, Donner TH, Engel AK. Spectral fingerprints of large-scale neuronal interactions. Nat Rev Neu-
rosci. 2012; 13(2):121–134. https://doi.org/10.1038/nrn3137 PMID: 22233726
47.
Fries P. Rhythms for Cognition: Communication through Coherence. Neuron. 2015; 88(1):220–235.
https://doi.org/10.1016/j.neuron.2015.09.034 PMID: 26447583
48. Albouy P, Baillet S, Zatorre RJ. Driving working memory with frequency-tuned noninvasive brain stimu-
lation. Ann N Y Acad Sci. 2018. https://doi.org/10.1111/nyas.13664 PMID: 29707781
49. Albouy P, Martinez-Moreno ZE, Hoyer RS, Zatorre RJ, Baillet S. Supramodality of neural entrainment:
Rhythmic visual stimulation causally enhances auditory working memory performance. Sci Adv. 2022;
8(8):eabj9782. https://doi.org/10.1126/sciadv.abj9782 PMID: 35196074
50. Albouy P, Weiss A, Baillet S, Zatorre RJ. Selective Entrainment of Theta Oscillations in the Dorsal
Stream Causally Enhances Auditory Working Memory Performance. Neuron. 2017; 94(1):193–206 e5.
https://doi.org/10.1016/j.neuron.2017.03.015 PMID: 28343866
51. Roux F, Uhlhaas PJ. Working memory and neural oscillations: alpha-gamma versus theta-gamma
codes for distinct WM information? Trends Cogn Sci. 2014; 18(1):16–25.
52. Backus AR, Schoffelen JM, Szebenyi S, Hanslmayr S, Doeller CF. Hippocampal-Prefrontal Theta Oscil-
lations Support Memory Integration. Curr Biol. 2016; 26(4):450–457. https://doi.org/10.1016/j.cub.2015.
12.048 PMID: 26832442
PLOS Biology | https://doi.org/10.1371/journal.pbio.3002512 March 5, 2024
22 / 24
PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
53. Violante IR, Li LM, Carmichael DW, Lorenz R, Leech R, Hampshire A, et al. Externally induced fronto-
parietal synchronization modulates network dynamics and enhances working memory performance.
Elife. 2017:6. https://doi.org/10.7554/eLife.22001 PMID: 28288700
54. Hanslmayr S, Axmacher N, Inman CS. Modulating Human Memory via Entrainment of Brain Oscilla-
tions. Trends Neurosci. 2019; 42(7):485–499. https://doi.org/10.1016/j.tins.2019.04.004 PMID:
31178076
55. Albouy P, Mattout J, Bouet R, Maby E, Sanchez G, Aguera PE, et al. Impaired pitch perception and
memory in congenital amusia: the deficit starts in the auditory cortex. Brain. 2013; 136(Pt 5):1639–
1661. https://doi.org/10.1093/brain/awt082 PMID: 23616587
56. Albouy P, Peretz I, Bermudez P, Zatorre RJ, Tillmann B, Caclin A. Specialized neural dynamics for ver-
bal and tonal memory: fMRI evidence in congenital amusia. Hum Brain Mapp. 2019; 40(3):855–867.
https://doi.org/10.1002/hbm.24416 PMID: 30381866
57. Malinovitch T, Albouy P, Zatorre RJ, Ahissar M. Training allows switching from limited-capacity manipu-
lations to large-capacity perceptual processing. Cereb Cortex. 2023; 33(5):1826–1842AU : Pleasenotethatdetailshavebeenaddedtoref :57:Pleasecheckandconfirmthatthesearecorrect:
10.1093/cercor/bhac175 PMID: 35511687
. https://doi.org/
58. Keller AS, Payne L, Sekuler R. Characterizing the roles of alpha and theta oscillations in multisensory
attention. Neuropsychologia. 2017; 99:48–63. https://doi.org/10.1016/j.neuropsychologia.2017.02.021
PMID: 28259771
59. Kaminski J, Sullivan S, Chung JM, Ross IB, Mamelak AN, Rutishauser U. Erratum: Persistently active
neurons in human medial frontal and medial temporal lobe support working memory. Nat Neurosci.
2017; 20(8):1189. https://doi.org/10.1038/nn0817-1189d PMID: 28745722
60. Poppenk J, Evensmoen HR, Moscovitch M, Nadel L. Long-axis specialization of the human hippocam-
pus. Trends Cogn Sci. 2013; 17(5):230–240. https://doi.org/10.1016/j.tics.2013.03.005 PMID:
23597720
61. Strange BA, Witter MP, Lein ES, Moser EI. Functional organization of the hippocampal longitudinal
axis. Nat Rev Neurosci. 2014; 15(10):655–669. https://doi.org/10.1038/nrn3785 PMID: 25234264
62. Dimakopoulos V, Megevand P, Stieglitz LH, Imbach L, Sarnthein J. Information flows from hippocam-
pus to auditory cortex during replay of verbal working memory items. Elife. 2022:11. https://doi.org/10.
7554/eLife.78677 PMID: 35960169
63. Albouy P, Caclin A, Norman-Haignere SV, Leveque Y, Peretz I, Tillmann B, et al. Decoding Task-
Related Functional Brain Imaging Data to Identify Developmental Disorders: The Case of Congenital
Amusia. Front Neurosci. 2019; 13:1165. https://doi.org/10.3389/fnins.2019.01165 PMID: 31736698
64. Albouy P, Mattout J, Sanchez G, Tillmann B, Caclin A. Altered retrieval of melodic information in con-
genital amusia: insights from dynamic causal modeling of MEG data. Front Hum Neurosci. 2015; 9:20.
https://doi.org/10.3389/fnhum.2015.00020 PMID: 25698955
65. Samiee S, Vuvan D, Florin E, Albouy P, Peretz I, Baillet S. Cross-frequency brain network dynamics
support pitch change detection. J Neurosci. 2022; 42(18):3823–3835. https://doi.org/10.1523/
JNEUROSCI.0630-21.2022 PMID: 35351829
66.
67.
Zatorre RJ, Belin P, Penhune VB. Structure and function of auditory cortex: music and speech. Trends
Cogn Sci. 2002; 6(1):37–46. https://doi.org/10.1016/s1364-6613(00)01816-7 PMID: 11849614
Zatorre RJ, Evans AC, Meyer E. Neural mechanisms underlying melodic perception and memory for
pitch. J Neurosci. 1994; 14(4):1908–1919. https://doi.org/10.1523/JNEUROSCI.14-04-01908.1994
PMID: 8158246
68. Gaab N, Gaser C, Zaehle T, Jancke L, Schlaug G. Functional anatomy of pitch memory—an fMRI study
with sparse temporal sampling. Neuroimage. 2003; 19(4):1417–1426. https://doi.org/10.1016/s1053-
8119(03)00224-6 PMID: 12948699
69. Schulze K, Gaab N, Schlaug G. Perceiving pitch absolutely: comparing absolute and relative pitch pos-
sessors in a pitch memory task. BMC Neurosci. 2009; 10:106. https://doi.org/10.1186/1471-2202-10-
106 PMID: 19712445
70.
Treder MS, Charest I, Michelmann S, Martin-Buro MC, Roux F, Carceller-Benito F, et al. The hippocam-
pus as the switchboard between perception and memory. Proc Natl Acad Sci U S A. 2021; 118(50):
e2114171118. https://doi.org/10.1073/pnas.2114171118 PMID: 34880133
71. Alekseichuk I, Turi Z, Amador de Lara G, Antal A, Paulus W. Spatial Working Memory in Humans
Depends on Theta and High Gamma Synchronization in the Prefrontal Cortex. Curr Biol. 2016; 26
(12):1513–1521. https://doi.org/10.1016/j.cub.2016.04.035 PMID: 27238283
72. Buzsaki G, Draguhn A. Neuronal oscillations in cortical networks. Science. 2004; 304(5679):1926–
1929. https://doi.org/10.1126/science.1099745 PMID: 15218136
73.
Tzourio-Mazoyer N, Landeau B, Papathanassiou D, Crivello F, Etard O, Delcroix N, et al. Automated
anatomical labeling of activations in SPM using a macroscopic anatomical parcellation of the MNI MRI
PLOS Biology | https://doi.org/10.1371/journal.pbio.3002512 March 5, 2024
23 / 24
PLOS BIOLOGYCross-frequency coupling enables integration and memory of auditory information in the human brain
74.
75.
single-subject brain. Neuroimage. 2002; 15(1):273–289. https://doi.org/10.1006/nimg.2001.0978
PMID: 11771995
Jerbi K, Ossandon T, Hamame CM, Senova S, Dalal SS, Jung J, et al. Task-related gamma-band
dynamics from an intracerebral perspective: review and implications for surface EEG and MEG. Hum
Brain Mapp. 2009; 30(6):1758–1771. https://doi.org/10.1002/hbm.20750 PMID: 19343801
Tallon-Baudry C, Bertrand O. Oscillatory gamma activity in humans and its role in object representation.
Trends Cogn Sci. 1999; 3(4):151–162. https://doi.org/10.1016/s1364-6613(99)01299-1 PMID:
10322469
76. Ozkurt TE, Schnitzler A. A critical note on the definition of phase-amplitude cross-frequency coupling. J
Neurosci Methods. 2011; 201(2):438–443. https://doi.org/10.1016/j.jneumeth.2011.08.014 PMID:
21871489
77. Brett M, Anton JL, Valabregue R, Poline JB. Region of interest analysis using the MarsBar toolbox for
SPM 99. Neuroimage. 2002; 16(Suppl 1:S497).
78. Bates D, Ma¨chler M, Bolker B, Walker S. Fitting Linear Mixed-Effects Models Using lme4. J Stat Softw.
2015; 67(1):1–48.
79.
Fox J, Weisberg S. An R Companion to Applied Regression. Thousand Oaks, CA: Sage; 2019.
PLOS Biology | https://doi.org/10.1371/journal.pbio.3002512 March 5, 2024
24 / 24
PLOS BIOLOGY
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10.12688_f1000research.16224.3.pdf
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Data availability
Pediococcus acidilactici strain DS32 16S ribosomal RNA
gene, partial sequence, obtained during this study. GenBank
accession
http://identifiers.org/ncbigi/
GI:1481059229.
|
all the source data underlying the results available to ensure full reproducibility? Yes Are the conclusions drawn adequately supported Data availability Pediococcus acidilactici strain DS32 16S ribosomal RNA gene, partial sequence, obtained during this study. GenBank accession number MH938236: http://identifiers.org/ncbigi/ GI:1481059229 . Grant information This research was supported by Ministry of Research, Technology and Higher Education Republic of Indonesia through Master of Education Towards Doctoral Scholarship Program for Excellence Undergraduate and the support through World Class Professor Program Scheme-B No. 123.57/D2.3/KP/2018. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
|
F1000Research 2019, 7:1663 Last updated: 12 MAR 2020
RESEARCH ARTICLE
Molecular identification and phylogenetic analysis of
GABA-producing lactic acid bacteria isolated from indigenous
dadih of West Sumatera, Indonesia [version 3; peer review: 2
approved, 1 approved with reservations, 1 not approved]
Lili Anggraini
1
Yetti Marlida , Wizna Wizna , Jamsari Jamsari
,
4
5,6
5,6
2
2
Frederick Adzitey , Nurul Huda
3
2
, Mirzah Mirzah ,
1
2
3
4
5
6
Graduate Program, Andalas University, Padang, West Sumatera, Indonesia
Department of Nutrition and Feed Technology, Faculty of Animal Science, Andalas University, Padang, West Sumatera, Indonesia
Department of Plant Breeding, Faculty of Agriculture, Andalas University, Padang, West Sumatera, Indonesia
Department of Veterinary Science, University for Development Studies, Temale, Ghana
School of Food Industry, Universiti Sultan Zainal Abidin, Kuala Nerus, Terengganu, 21300, Malaysia
Faculty of Food Science and Nutrition, Universiti Malaysia Sabah, Kota Kinabalu, Sabah, 88400, Malaysia
v3
First published:
19 Oct 2018,
https://doi.org/10.12688/f1000research.16224.1
)
:1663 (
7
Second version:
06 Feb 2019,
https://doi.org/10.12688/f1000research.16224.2
)
:1663 (
7
Latest published:
https://doi.org/10.12688/f1000research.16224.3
)
17 Oct 2019,
:1663 (
7
Dadih (fermented buffalo milk) is a traditional Indonesian
Abstract
Background:
food originating from West Sumatra province. The fermentation process is
carried out by lactic acid bacteria (LAB), which are naturally present in
buffalo milk. Lactic acid bacteria have been reported as one of potential
producers of γ-aminobutyric acid (GABA). GABA acts as a neurotransmitter
inhibitor of the central nervous system.
In this study, molecular identification and phylogenetic analysis
Methods:
of GABA producing LAB isolated from indigenous dadih of West Sumatera
were determined. Identification of the GABA-producing LAB DS15 was
based on conventional polymerase chain reaction. 16S rRNA gene
sequence analysis was used to identify LAB DS15.
Results:
approximately 1400 bp amplicon. Phylogenetic analysis showed that LAB
DS15 was
query coverage to
Conclusions:
indigenous dadih was
, with high similarity of 99% at 100%
strain DSM 20284.
PCR of the 16S rRNA gene sequence of LAB DS15 gave an
It can be concluded that GABA producing LAB isolated from
Pediococcus acidilactici
Pediococcus acidilactici
Pediococcus acidilactici
.
Keywords
indigenous dadih, GABA, LAB, 16S rRNA gene, phylogenetic analysis
Open Peer Review
Reviewer Status
Invited Reviewers
1
2
3
4
report
report
report
report
report
version 3
(revision)
17 Oct 2019
version 2
(revision)
06 Feb 2019
version 1
19 Oct 2018
1
2
3
Qinglong Wu
, Baylor College of Medicine,
Houston, USA
Jagadish Mahanta
, Indian Council of Medical
Research (ICMR), Dibrugarh, India
Sahilah Abd Mutalib
, Universiti
Kebangsaan Malaysia (UKM), Selangor,
Malaysia
Page 1 of 15
F1000Research 2019, 7:1663 Last updated: 12 MAR 2020
4
Usman Pato
, Riau University, Pekanbaru,
Indonesia
Any reports and responses or comments on the
article can be found at the end of the article.
Corresponding author:
Yetti Marlida (
yettimarlida@ansci.unand.ac.id
)
Author roles: Anggraini L
Conceptualization;
Adzitey F
: Investigation;
Marlida Y
: Writing – Review & Editing;
: Supervision;
Huda N
Wizna W
: Writing – Review & Editing
: Conceptualization;
Jamsari J
: Conceptualization;
Mirzah M
:
Competing interests:
No competing interests were disclosed.
This research was supported by Ministry of Research, Technology and Higher Education Republic of Indonesia through
Grant information:
Master of Education Towards Doctoral Scholarship Program for Excellence Undergraduate and the support through World Class Professor
Program Scheme-B No. 123.57/D2.3/KP/2018.
The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
Copyright:
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
. This is an open access article distributed under the terms of the
© 2019 Anggraini L
et al
Creative Commons Attribution License
,
How to cite this article:
lactic acid bacteria isolated from indigenous dadih of West Sumatera, Indonesia [version 3; peer review: 2 approved, 1 approved with
reservations, 1 not approved]
et al. Molecular identification and phylogenetic analysis of GABA-producing
https://doi.org/10.12688/f1000research.16224.3
Anggraini L, Marlida Y, Wizna W
F1000Research 2019,
:1663 (
7
)
First published:
19 Oct 2018,
7
:1663 (
https://doi.org/10.12688/f1000research.16224.1
)
Page 2 of 15
REVISED
Amendments from Version 2
Additional information on the reference of forward primer 63F (5’-
CAG GCC TAA CAC ATG CAA GTC-3’) and reverse primer 1387R
(5’-GGG CGG GGT GTA CAA GGC-3’). Updating the sentence of
1% agarose electrophoresis to 1 % (w/v) agarose electrophoresis.
Mentioning the marker used 1 Kb Plus DNA ladder (ThermoFisher
Scientific).
Any further responses from the reviewers can be found at the
end of the article
acid
amino
γ-aminobutyric
Introduction
The non-proteinogenic
acid
(GABA) is widely found in bacteria, animals, plants, and fungi
(Dhakal et al., 2012; Nonaka et al., 2017). GABA acts as a
neurotransmitter inhibitor of the central nervous system (Olsen
& Li, 2012). It is formed by decarboxylation of L-glutamate, a
reaction catalyzed by an enzyme that depends on the peridoxal
phosphate of decarboxylated L-glutamate (Murray et al., 2003).
Lactic acid bacteria (LAB) have been reported as a potential
producer of GABA (Seo et al., 2013; Wu & Shah, 2017). LAB
are generally regarded as safe and non-pathogenic microbes,
and has been referred to as ‘generally recognized as safe’.
Therefore, GABA-producing LAB can be used directly in
functional foods (Zhao et al., 2017). Some LAB can be found
in the dairy industry for the production of cheese, yogurt, and
other fermented milk products (Yamada et al., 2018).
Dadih (fermented buffalo milk) is an Indonesian traditional
food originating from West Sumatra Province; it is an extremely
popular dairy product in Bukittinggi, Padangpanjang, Solok,
Lima Puluh Kota, and Tanah Datar, Indonesia (Surono, 2015).
Dadih is made from buffalo milk which is fermented in
bamboo for 24–48 hours. The fermentation process is carried
out by LAB which are naturally present in buffalo milk
(Rizqiati et al., 2015) and the environment (Wirawati et al.,
2017). Studies have found that, the LAB strains present in
dadih are generally Lactobacillus, Streptococcus, Leuconostoc
and Lactococcus (Collado et al., 2007; Surono, 2003).
Extraction of DNA is a basic principle in molecular analysis
and it is one of the success factors in DNA amplification that is
used in the analysis of genetic characters (Mustafa et al., 2016).
Polymerase chain reaction (PCR) and phylogenetic analysis
based on 16S rRNA gene sequences have been used for
successful identification of isolates from various fermented
food products (Malik et al., 2015). These molecular approaches
have allowed Lactobacillus species to be reliably identified
(Henry et al., 2015). This research was conducted to identify
and
isolated from
indigenous dadih of West Sumatera based on 16 S rRNA gene
sequence analysis.
to characterize GABA producing LAB
Methods
Sample
This study used lactic acid bacteria (LAB) DS15, a GABA-
producing LAB isolated from dadih of West Sumatera origin.
This bacterium was isolated previously according to the method
described by Ali et al. (2009). The experiment was carried out
at the Feed Technology Industry Laboratory, Faculty of Animal
F1000Research 2019, 7:1663 Last updated: 12 MAR 2020
Science, Andalas University, West Sumatra, Indonesia. LAB
DS15 was grown anaerobically
in MRS medium (Merck,
Darmstadt, Germany) at 30°C and stored for further analysis.
Isolation of bacterial genomic DNA
Isolation of the total genome of LAB DS15 was done using
Genomic DNA Mini Kit purchased from Invitrogen (Pure-
LinkTM, USA) by following the manufacturer’s instructions.
We used Lysozyme (PureLinkTM, USA) at a concentration of
20 mg/ml to break down the bacterial cell wall to improve protein
or nucleic acid extraction efficiency.
16S rRNA gene amplification
Genomic DNA of LAB DS15 was used for amplification of
16S rRNA gene. Amplification was done using forward primer
63F (5’-CAG GCC TAA CAC ATG CAA GTC-3’) and reverse
primer 1387R (5’-GGG CGG GGT GTA CAA GGC-3’).
of Laboratory of Medical Molecular Biology and Diagnos-
tic, Indonesian Institute of Sciences. The reaction was car-
ried out in a volume of 50 μl. The PCR mixture contained
22 μl of MQ, 25 μl DreamTaq Green DNA Polymerase
(Thermo Fisher Scientific, USA), 1 μl of each forward and
reverse primer (10 μM each, IDT synthesized) and 1 μl
template. Amplification conditions were 5 minutes of preheat-
ing at 95°C, 30 seconds denaturation at 95°C, 30 seconds of
primer annealing at 58°C, 1 minute extension step at 72°C and
post cycling extension of 5 minutes at 72°C for 35 cycles. The
reactions were carried out in a thermal cycler (Biometra’s
T-Personal Thermal Cycler, USA).
Electrophoresis
PCR products were stored at 4°C for further examination
using 1% (w/v) agarose electrophoresis in 1x TAE, 100 V for
30 minutes. The DNA bands formed from electrophoresis
process was visualized using UV transluminator. The marker
used was 1 Kb Plus DNA ladder (ThermoFisher Scientific).
Sequence alignment of the 16S rRNA gene
Sequencing of the 16S rRNA gene was performed at the
Laboratory of Medical Molecular Biology and Diagnostic,
Indonesian Institute of Sciences, Jakarta. Sequencing results were
edited (contig and peak chromatogram verification) using the
SeqManTM II program. Analysis of 16S rRNA sequences of
LAB DS15 was performed using NCBI BLAST. Multiple
alignment was done using the ClustalX 2.1 program. BioEdit
version 7.2.5 in edit mode to see the absence of an inverted
sequence and align the sequence length. Kinship visualization
was done using the combined phylogenetic tree of the MEGA
7.0.20 program with
the Neighbor-Joining hood method
(Saitou & Nei, 1987).
Results and discussion
The identification of LAB DS15 to determine the strain was
done based on 16S rRNA gene. The first step was amplification
using PCR method, with the electrophoresis image shown in
Supplementary File 1. The amplification process was carried out
to obtain more copies of the 16S rRNA gene for the sequencing
process. Analysis of sequencing results begun by aligning the
base sequence of the 63F forward sequence and reverse 138R
using the SegMan program. PCR of the 16S rRNA gene of LAB
DS15 gave an approximately 1400 bp amplicon (Figure 1).
Page 3 of 15
Saitou & Nei (1987) indicated that the evolutionary history of
organisms can be known using the neighbour-joining method.
Organisms within the same taxa are normally clustered together
in the phylogenetic tree and have better bootstrap values
(Felsenstein, 1985). In this study, we drew a phylogenetic tree
to scale and determined the evolutionary distances using the
p-distance method. A total of 26 nucleotide sequences and
codon positions 1st + 2nd + and 3rd + noncoding were con-
sidered, using MEGA 7.0 as reported by Kumar et al. (2016)
for evolutionary analyses.
Figure 1. Agarose gel (1%) electrophoresis showing amplified
16S rRNA gene of LAB DS18. M, DNA marker; 1, PCR product of
LAB DS18.
F1000Research 2019, 7:1663 Last updated: 12 MAR 2020
DNA sequencing results were analyzed using NCBI BLAST.
According to Willey et al. (2009), 16S rRNA sequencing
looks at the similarity of isolates to those already available in
GenBank; this is one molecular detection method that is ideal
enough to know the kinship relationship between bacteria
because the 16S rRNA sequence is a gene found in all microbes
and is indispensable in maintain life. The 16S rRNA gene
sequencing identified the LAB DS15 to belong to the genus
Pediococcus, forming a well-defined cluster with Pediococcus
acidilactici. This cluster was recovered in 100% of bootstrap
analysis. Pediococcus spp. are widely described as probiotics
(Porto et al., 2017). Abbasiliasi et al. (2012) also found
Pediococcus acidilactici in fermented milk products. Pediococcus
acidilactici are important LAB which have been used as starter
cultures in meat, vegetable and dairy fermentation causing charac-
teristic flavor changes, improving hygiene and extending the shelf
life of these products (Mora et al., 1997; Porto et al., 2017).
A phylogenetic tree (Figure 2) was constructed to determine
the kinship relationship of LAB DS15. The phylogenetic
tree is known to show a high consistency of the relationships
between organisms. In this study, the isolate showed similarity
of 99% at 100% query coverage to Pediococcus acidilactici
strain DSM 20284. A value of 99% indicates that the isolate can
be considered as the same species with Pediococcus acidilac-
tici strain DSM 20284. The sequence of homology levels was
high, as shown by the red color with a score of ≥200 (Figure 3).
Figure 2. Phylogenetic tree of 16S rRNA gene of LAB DS18 using the neighbor-joining method.
Page 4 of 15
F1000Research 2019, 7:1663 Last updated: 12 MAR 2020
Figure 3. Graphic summary of DS18 and Pediococcus acidilactici strain DSM 20284.
From the results of this homology it can be concluded that
the two sequences are the same and have an evolutionary
relationship.
LAB DS15 was Pediococcus acidilactici, with 99% similarity to
Pediococcus acidilactici strain DSM 20284.
The next closest species for which a sequence alignment of at
least 100% query coverage was observed were Pediococcus
pentosaceus strain DSM 20336, Pediococcus acidilactici strain
NGRI 0510Q and Pediococcus argentini strain CRL 776 at
98% similarity to the DS15 isolate. Pediococcus stilesi strain
FAIR-E 180 showed 98% similarity with 99% query coverage.
An alignment query result of 100% indicates a significant
alignment, which means the search sequence in this study was
identical with
the species
level.
identified genus, even at
the
Conclusion
The PCR of 16S rRNA gene sequence gave an approximately
1400 bp amplicon for LAB DS15, isolated from indigenous
dadih of West Sumatera. Phylogenetic analysis showed that
Data availability
Pediococcus acidilactici strain DS32 16S ribosomal RNA
gene, partial sequence, obtained during this study. GenBank
accession
http://identifiers.org/ncbigi/
GI:1481059229.
number MH938236:
Grant information
This research was supported by Ministry of Research, Technology
and Higher Education Republic of Indonesia through Master of
Education Towards Doctoral Scholarship Program for Excellence
Undergraduate and the support through World Class Professor
Program Scheme-B No. 123.57/D2.3/KP/2018.
The funders had no role in study design, data collection and
analysis, decision to publish, or preparation of the manuscript.
Supplementary material
Supplementary File 1. Electrophoresis image of the PCR amplification product.
Click here to access the data.
Page 5 of 15
References
Abbasiliasi S, Tan JS, Ibrahim TA, et al.: Isolation of Pediococcus acidilactici
Kp10 with ability to secrete bacteriocin-like inhibitory substance from milk
products for applications in food industry. BMC Microbiol. 2012; 12: 260.
PubMed Abstract | Publisher Full Text | Free Full Text
Ali FWO, Abdulamir AS, Mohammed AS, et al.: Novel, practical and cheap source
for isolating beneficial γ-aminobutyric acid-producing leuconostoc NC5 bacteria.
Res J Med Sci. 2009; 3(4): 146–153.
Reference Source
Collado CM, Surono IS, Meriluoto J, et al.: Potential probiotic characteristics
of Lactobacillus and Enterococcus strains isolated from traditional dadih
fermented milk against pathogen intestinal colonization. J Food Prot. 2007;
70(3): 700–705.
PubMed Abstract | Publisher Full Text
Dhakal R, Baipai VK, Baek KH: Production of gaba (γ - Aminobutyric acid) by
microorganisms: a review. Braz J Microbiol. 2012; 43(4): 1230–41.
PubMed Abstract | Publisher Full Text | Free Full Text
Felsenstein J: Confidence Limits On Phylogenies: An Approach Using The
Bootstrap. Evolution. 1985; 39(4): 783–791.
PubMed Abstract | Publisher Full Text
Henry DE, Halami PM, Prapulla SG: Lactobacillus plantarum mcc2034, a
novel isolate from traditional Indian lactic fermented preparation: molecular
identification and evaluation of its in vitro probiotic potential. J Microbiol
Biotechnol Food Sci. 2015; 4(4): 328–331.
Publisher Full Text
Kumar S, Stecher G, Tamura K: MEGA7: Molecular Evolutionary Genetics
Analysis version 7.0 for bigger datasets. Mol Biol Evol. 2016; 33(7): 1870–1874.
PubMed Abstract | Publisher Full Text
Malik V, Devi U, Yadav RNS, et al.: 16s rRNA based phylogenetic analysis of
lactobacillus plantarum isolated from various fermented food products of
Assam. J Microbiol Biotechnol Food Sci. 2015; 5(1): 20–22.
Publisher Full Text
Mora D, Fortina MG, Parini C, et al.: Identification of Pediococcus acidilactici
and Pediococcus pentosaceus based on 16s rRNA and ldhD gene-targeted
multiplex PCR analysis. FEMS Microbiol Lett. 1997; 151(2): 231–236.
PubMed Abstract | Publisher Full Text
Murray RK, Granner DK, Rodwell VW, et al.: Harper’s Illustrated Biochemistry
23th edn. McGraw-Hill Companies, Inc. USA. 2003.
Mustafa H, Rachmawati I, Udin Y: Genomic DNA concentration and purity
measurement of Anopheles barbirostris. Journal of Disease Vector. 2016; 1:
7–10.
Publisher Full Text
Nonaka S, Arai C, Takayama M, et al.: Efficient increase of γ-aminobutyric acid
(GABA) content in tomato fruits by targeted mutagenesis. Sci Rep. 2017; 7(1):
7057.
PubMed Abstract | Publisher Full Text | Free Full Text
F1000Research 2019, 7:1663 Last updated: 12 MAR 2020
Olsen RW, Li GD: Gaba. In Brady ST, Siegel GJ, Albers LW, Price DL, (Editors).
Basic Neurochemistry (Eight edition): Principles of molecular, cellular, and medical
neurobiology. 2012; 367–376.
Publisher Full Text
Porto MC, Kuniyoshi TM, Azevedo PO, et al.: Pediococcus spp.: An important
genus of lactic acid bacteria and pediocin producers. Biotechnol Adv. 2017;
35(3): 361–374.
PubMed Abstract | Publisher Full Text
Rizqiati H, Sumantri C, Noor RR, et al.: Isolation and identification of indigenous
lactic acid bacteria from North Sumatra river buffalo milk. Indonesian Journal of
Animal and Veterinary Sciences. 2015; 20(2): 87–94.
Publisher Full Text
Saitou N, Nei M: The neighbor-joining method: a new method for
reconstructing phylogenetic trees. Mol Biol Evol. 1987; 4(4): 406–425.
PubMed Abstract | Publisher Full Text
Seo MJ, Lee JY, Nam YD, et al.: Production of γ-Aminobutyric Acid by
Lactobacillus brevis 340G Isolated from Kimchi and Its Application to Skim
Milk. Food Eng Prog. 2013; 17(4): 418–423.
Publisher Full Text
Surono IS: In vitro probiotic properties of indigenous dadih lactic acid bacteria.
Asian-Australas J Anim Sci. 2003; 16(5): 726–731.
Publisher Full Text
Surono IS: Traditional Indonesian dairy foods. Asia Pac J Clin Nutr. 2015;
24 Suppl 1: S26–S30.
PubMed Abstract | Publisher Full Text
Willey JM, Sherwood LM, Woolverton CJ: Prescott’s Principles of Microbiology.
Boston: McGraw-Hill Higher Education. 2009.
Reference Source
Wirawati CU, Sudarwanto MB, Lukman DW, et al.: Characteristic and
development of cow’s milk dadih as an alternate of buffalo’s milk dadih.
WARTAZOA Indonesian Bulletin of Animal and Veterinary Sciences. 2017; 27(2):
95–103.
Publisher Full Text
Wu Q, Shah NP: High γ-aminobutyric acid production from lactic acid bacteria:
Emphasis on Lactobacillus brevis as a functional dairy starter. Crit Rev Food
Sci Nutr. 2017; 57(17): 3661–3672.
PubMed Abstract | Publisher Full Text
Yamada Y, Endou M, Morikawa S, et al.: Lactic Acid Bacteria Isolated from
Japanese Fermented Fish (Funa-Sushi) Inhibit Mesangial Proliferative
Glomerulonephritis by Alcohol Intake with Stress. J Nutr Metab. 2018; 2018:
6491907.
PubMed Abstract | Publisher Full Text | Free Full Text
Zhao A, Hu X, Wang X: Metabolic engineering of Escherichia coli to produce
gamma-aminobutyric acid using xylose. Appl Microbiol Biotechnol. 2017; 101(9):
3587–3603.
PubMed Abstract | Publisher Full Text
Page 6 of 15
F1000Research 2019, 7:1663 Last updated: 12 MAR 2020
Open Peer Review
Current Peer Review Status:
Version 3
Reviewer Report
12 March 2020
https://doi.org/10.5256/f1000research.22366.r56703
© 2020 Pato U. This is an open access peer review report distributed under the terms of the Creative Commons
Attribution License
work is properly cited.
, which permits unrestricted use, distribution, and reproduction in any medium, provided the original
Usman Pato
Faculty of Agriculture, Riau University, Pekanbaru, Indonesia
INTRODUCTION
1.
In general, the introduction is relatively good but needs to be added by the results of research from
Hosono et al 1989 and Wirawati et al., 2019 about micflora in dadih
1
2
2.
In the introduction, the author needs to explain in more detail the role of GABA produced by LAB
and other organisms
METHODS
1.
An explanation should be added as to why only to choose the DS15 strain producing GABA in this
study.
2.
It is necessary to add the reference methods used in the 16S rRNA gene amplification analysis and
electrophoresis process
RESULTS AND DISCUSSION
The results are well presented and discussed systematically because the authors used only one strain.
REFERENCES
The author needs to add references as a follow-up to suggestions for improvement in the introduction and
method of this paper
The strength of this paper
The strength of study is the first research to report on GABA-producing LAB from dadih and local
fermented milk products from Indonesia
The weakness of this paper
One of the weaknesses of this study is that the authors only used one LAB dadih isolate (strain DS15) so
that no comparative data were produced and the discussion was relatively limited.
References
1. Hosono A, Wardojo R, Otani H: Microbial flora in dadih a traditional fermented milk in indonesia. Life,
Earth
.
Page 7 of 15
F1000Research 2019, 7:1663 Last updated: 12 MAR 2020
.
Earth
2. Wirawati CU, Sudarwanto MB, Lukman DW, Wientarsih I, et al.: Diversity of lactic acid bacteria in dadih
produced by either back-slopping or spontaneous fermentation from two different regions of West
Sumatra, Indonesia.
PubMed Abstract Publisher Full Text
|
(6): 823-829
Vet World
. 2019;
12
Is the work clearly and accurately presented and does it cite the current literature?
Yes
Is the study design appropriate and is the work technically sound?
No
Are sufficient details of methods and analysis provided to allow replication by others?
Yes
If applicable, is the statistical analysis and its interpretation appropriate?
No
Are all the source data underlying the results available to ensure full reproducibility?
Yes
Are the conclusions drawn adequately supported by the results?
Yes
Competing Interests:
No competing interests were disclosed.
Reviewer Expertise: Food Microbiology, Probiotic
I confirm that I have read this submission and believe that I have an appropriate level of
expertise to confirm that it is of an acceptable scientific standard.
Reviewer Report
25 November 2019
https://doi.org/10.5256/f1000research.22366.r55312
© 2019 Wu Q. This is an open access peer review report distributed under the terms of the Creative Commons Attribution
License
, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is
properly cited.
Qinglong Wu
Texas Children's Microbiome Center, Baylor College of Medicine, Houston, TX, USA
I did not see any improvements of scientific value that have been made in the revision.
Is the work clearly and accurately presented and does it cite the current literature?
Yes
Is the study design appropriate and is the work technically sound?
Yes
Page 8 of 15
F1000Research 2019, 7:1663 Last updated: 12 MAR 2020
Are sufficient details of methods and analysis provided to allow replication by others?
Yes
If applicable, is the statistical analysis and its interpretation appropriate?
Yes
Are all the source data underlying the results available to ensure full reproducibility?
Yes
Are the conclusions drawn adequately supported by the results?
Yes
Competing Interests:
No competing interests were disclosed.
I confirm that I have read this submission and believe that I have an appropriate level of
expertise to state that I do not consider it to be of an acceptable scientific standard, for reasons
outlined above.
Version 2
Reviewer Report
11 June 2019
https://doi.org/10.5256/f1000research.19627.r48482
© 2019 Mutalib S. This is an open access peer review report distributed under the terms of the Creative Commons
Attribution License
work is properly cited.
, which permits unrestricted use, distribution, and reproduction in any medium, provided the original
Sahilah Abd Mutalib
Centre for Biotechnology and Functional Food, Faculty of Science and Technology, Universiti
Kebangsaan Malaysia (UKM), Selangor, Malaysia
1. Introduction - fairly good and can be improved
i. Dadih from Indonesia has-
Lactobacillus Streptococcus Leuconostoc
identify the bacteria? Biochemical tests or using molecular approaches?
ii. Is there any data on dadih from Malaysia as well for comparison.
,
,
and
Lactococcus -
How did they
2. Methods - can be improved
2.1 Sample - Subtopic sample suggested to change - Bacterial strain
The month and year of the bacterium should be mentioned for ex: in June 2009. Why too long to continue
the partial sequence 16s rRNA analysis?
2. 2 Isolation of bacterial genomic DNA
We used lysozyme-change to "Twenty(20) mg/ml of lysozyme was used to break down ...."
Please state where did you keep the genomic DNA. Example in -20 C freezer or 4 C refrigerator prior
o
o
analysis
Page 9 of 15
analysis
F1000Research 2019, 7:1663 Last updated: 12 MAR 2020
2.3 16S rRNA gene amplification
Please state the
reference
after forward and reverse primers is mentioned.
2.4 Electrophoresis
1% change to 1% (w/v)
in 1x change to1x TAE, 100 V
The marker should be mentioned in this section, 1 Kb ladder? What kind of dye did you used? Red dye,
syber green, ethidium bromide? State their brand as well
Results and discussion
Good - due to a single strain/isolate was studied, thus, the explanation is straight forward.
Is the work clearly and accurately presented and does it cite the current literature?
Yes
Is the study design appropriate and is the work technically sound?
Yes
Are sufficient details of methods and analysis provided to allow replication by others?
Yes
If applicable, is the statistical analysis and its interpretation appropriate?
No
Are all the source data underlying the results available to ensure full reproducibility?
Yes
Are the conclusions drawn adequately supported by the results?
Yes
Competing Interests:
No competing interests were disclosed.
Reviewer Expertise: Food microbiology, Halal Science, biomass degradation (EFB and POME)
I confirm that I have read this submission and believe that I have an appropriate level of
expertise to confirm that it is of an acceptable scientific standard.
Author Response 14 Aug 2019
Nurul Huda
, Universiti Malaysia Sabah, Malaysia, Malaysia
1. Introduction - fairly good and can be improved
i. Dadih from Indonesia has-
did they identify the bacteria? Biochemical tests or using molecular approaches?
Lactobacillus Streptococcus Leuconostoc
and
,
,
Lactococcus -
They identify bacteria with a molecular approach using the 16SsRNA technique
ii. Is there any data on dadih from Malaysia as well for comparison.
How
Page 10 of 15
F1000Research 2019, 7:1663 Last updated: 12 MAR 2020
ii. Is there any data on dadih from Malaysia as well for comparison.
No, we don’t have data on dadih from Malaysia.
2. Methods - can be improved
2.1 Sample - Subtopic sample suggested to change - Bacterial strain
The month and year of the bacterium should be mentioned for ex: in June 2009. Why too long to
continue the partial sequence 16s rRNA analysis?
Bacterial strains isolated in July 2017.
We did this isolation based on the method of Ali
et al.,
(2009), not isolates from the author.
2. 2 Isolation of bacterial genomic DNA
We used lysozyme-change to "Twenty (20) mg/ml of lysozyme was used to break down ...."
Please state where did you keep the genomic DNA. Example in -20 C freezer or 4 C refrigerator
prior Analysis
We keep the genomic DNA in 4 C refrigerator.
o
2.3 16S rRNA gene amplification
Please state the
reference
after forward and reverse primers is mentioned.
We got reference for forward primer 63F (5'-CAG GCC TAA CAC ATG CAA GTC-3') and reverse
primer 1387R (5'-GGG CGG GGT GTA CAA GGC-3') from Laboratory of Medical Molecular
Biology and Diagnostic, Indonesian Institute of Sciences, Jakarta, Indonesia.
2.4 Electrophoresis
1% change to 1% (w/v)
Ok we will change
in 1x change to1x TAE, 100 V
Ok we will change
The marker should be mentioned in this section, 1 Kb ladder? What kind of dye did you used? Red
dye, syber green, ethidium bromide? State their brand as well
We used 1 Kb Plus DNA Ladder (ThermoFisher Scientific)
Results and discussion
Good - due to a single strain/isolate was studied, thus, the explanation is straight forward.
Thank You.
Competing Interests:
No competing interests were disclosed.
Reviewer Report
08 April 2019
https://doi.org/10.5256/f1000research.19627.r46293
Page 11 of 15
F1000Research 2019, 7:1663 Last updated: 12 MAR 2020
© 2019 Mahanta J. This is an open access peer review report distributed under the terms of the Creative Commons
Attribution License
work is properly cited.
, which permits unrestricted use, distribution, and reproduction in any medium, provided the original
Jagadish Mahanta
Regional Medical Research Centre, Indian Council of Medical Research (ICMR), Dibrugarh, Assam, India
Authors wanted to identify and characterize GABA producing LAB isolated from “Dadih”.
1.
2.
3.
4.
However, authors have taken a strain already isolated and identified in 2009. Authors have not
mentioned anything about the gap in the previous research that necessitated undertaking the
present exercise. Authors may clarify the issue.
Authors have done elaborate molecular testing and phylogenetic analysis of the bacteria taken
from the stock. Authors should elaborate the achievement of this exercise.
As emphasized by the authors, they should elaborate, about characterization and GABA
production potential of the strain
Authors should elaborate on the novelty of the study.
Is the work clearly and accurately presented and does it cite the current literature?
Yes
Is the study design appropriate and is the work technically sound?
No
Are sufficient details of methods and analysis provided to allow replication by others?
Yes
If applicable, is the statistical analysis and its interpretation appropriate?
Not applicable
Are all the source data underlying the results available to ensure full reproducibility?
Partly
Are the conclusions drawn adequately supported by the results?
Yes
Competing Interests:
No competing interests were disclosed.
I confirm that I have read this submission and believe that I have an appropriate level of
expertise to confirm that it is of an acceptable scientific standard, however I have significant
reservations, as outlined above.
Author Response 10 Apr 2019
Nurul Huda
, Universiti Malaysia Sabah, Kota Kinabalu, Malaysia
Authors wanted to identify and characterize GABA producing LAB isolated from “Dadih”.
1. However, authors have taken a strain already isolated and identified in 2009. Authors have not
mentioned anything about the gap in the previous research that necessitated undertaking the
Page 12 of 15
F1000Research 2019, 7:1663 Last updated: 12 MAR 2020
1. However, authors have taken a strain already isolated and identified in 2009. Authors have not
mentioned anything about the gap in the previous research that necessitated undertaking the
present exercise. Authors may clarify the issue.
Exploration of isolates from dadih has been carried out, but no studies have used these isolates as
GABA producers. In this study we obtained DS15 isolate from the isolation of various fermented
foods which had the highest GABA production. We did this isolation based on the method of Ali et
al.,
(2019), not isolates from the author.
2. Authors have done elaborate molecular testing and phylogenetic analysis of the bacteria taken
from the stock. Authors should elaborate the achievement of this exercise.
The result of BLAST at the NCBI GenBank site from the sequences showed that DS15 isolate were
Pediococcus acidilactici
with
P. acidilactici
P. acidilactici
similarity.
DSM 20284, with the difference of one base pair. The next closest species were
. Based on the phylogenetic tree, DS15 has a 99% similarity or homology
FAIR-E 180 shows 98% similarity with 99% query coverage.
CRL 776 with 98%
DSM 20336 and
P. pentosaceus
P. argentinicus
NGRI 0510Q,
P. stilesi
3. As emphasized by the authors, they should elaborate, about characterization and GABA
production potential of the strain.
We have carried out quantitative screening on some of the isolates we obtained from dadih, and
we found that DS15 isolates produced the highest amount of GABA. Data and discussion are used
in another publications.
4. Authors should elaborate on the novelty of the study.
The novelty of this study was the use of bacterial isolates from dadih as a GABA producer.
Competing Interests:
No competing interests were disclosed.
Reviewer Report
01 April 2019
https://doi.org/10.5256/f1000research.19627.r46425
© 2019 Wu Q. This is an open access peer review report distributed under the terms of the Creative Commons Attribution
License
, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is
properly cited.
Qinglong Wu
Texas Children's Microbiome Center, Baylor College of Medicine, Houston, TX, USA
The authors detailed the 16S rRNA gene-based to be a good lab protocol without demonstrating any
scientific value. There is no experimental data to support the GABA production from isolate DS15. They
have to present the GABA data in terms of GABA yield under defined fermentation conditions. Meanwhile,
they have to demonstrate the pathway in isolate DS15 that is responsible for GABA biosynthesis and
GABA export in this strain.
Page 13 of 15
F1000Research 2019, 7:1663 Last updated: 12 MAR 2020
Secondly, the authors just use one isolate to achieve the claim "GABA producing LAB isolated from
indigenous dadih was
. This is not a rigorous way.
Pediococcus acidilactici"
Here are my questions:
1.
2.
3.
What is the level of GABA in dadih?
How is GABA production capacity of DS15?
There is no massive bacterial isolation from dadih; neither no microbial community profiling for
dadih, nor pathway identification of GABA production for microbial community of dadih; so one
isolate from dadih does not mean anything.
Is the work clearly and accurately presented and does it cite the current literature?
Partly
Is the study design appropriate and is the work technically sound?
No
Are sufficient details of methods and analysis provided to allow replication by others?
Yes
If applicable, is the statistical analysis and its interpretation appropriate?
Not applicable
Are all the source data underlying the results available to ensure full reproducibility?
Partly
Are the conclusions drawn adequately supported by the results?
No
Competing Interests:
No competing interests were disclosed.
Reviewer Expertise: Food microbiology, microbiome science, microbial genomics, functional genomics,
microbial GABA biosynthesis, biochemistry
I confirm that I have read this submission and believe that I have an appropriate level of
expertise to state that I do not consider it to be of an acceptable scientific standard, for reasons
outlined above.
Author Response 10 Apr 2019
Nurul Huda
, Universiti Malaysia Sabah, Kota Kinabalu, Malaysia
1.
What is the level of GABA in dadih?
We don't count the amount of GABA on dadih. We did not count the amount of GABA produced in
dadih. GABA is produced by lactic acid bacteria of dadih origin but not the dadih, so we don’t
count or determine GABA level of dadih
1.
How is GABA production capacity of DS15?
GABA production capacity of DS15 was 49.365 mg/L
1.
There is no massive bacterial isolation from dadih; neither no microbial community profiling
Page 14 of 15
F1000Research 2019, 7:1663 Last updated: 12 MAR 2020
1.
There is no massive bacterial isolation from dadih; neither no microbial community profiling
for dadih, nor pathway identification of GABA production for microbial community of dadih;
so, one isolate from dadih does not mean anything.
In this study, we isolated bacteria from various fermented food products (dadih, ikan budu, asam
durian and tape singkong), determined their GABA producing ability and selected the isolate with
the highest GABA production for further identification. The results of isolation and characterization
are explained in other articles. The distribution of LAB isolates from the indigenous West Sumatera
fermented food (dadih only) is;
1.
2.
3.
Origin from Aiadingin area. Number of isolate 131; Number of LAB isolate 125; Number of
GABA producing LAB isolate 23.
Origin from Sijunjung area. Number of isolate 166; Number of LAB isolate 93; Number of
GABA producing LAB isolate 19.
Origin from Solok area. Number of isolate 100; Number of LAB isolate 96; Number of GABA
producing LAB isolate 19.
In total, from 3 areas, number of isolate 397; number of LAB isolate 314; number of GABA
producing LAB isolate 62.
Competing Interests:
No competing interests were disclosed.
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Page 15 of 15
| null |
10.1038_s41598-022-24860-9.pdf
|
Data availability
All data presented here can be found online in Supplementary Information 1 (includes Methods S1–S6; Fig-
ures S1–S3; Tables S1–S5), and Supplementary Data S1.
|
Data availability All data presented here can be found online in Supplementary Information 1 (includes Methods S1-S6; Figures S1-S3; Tables S1-S5 ), and Supplementary Data S1.
|
OPEN
Quantification of biological
nitrogen fixation
by Mo‑independent
complementary nitrogenases
in environmental samples with low
nitrogen fixation activity
Shannon J. Haynes 1,3*, Romain Darnajoux 1,3, Eunah Han 1, Sergey Oleynik 1,
Ezra Zimble 2 & Xinning Zhang 1,2*
Biological nitrogen fixation (BNF) by canonical molybdenum and complementary vanadium and
iron‑only nitrogenase isoforms is the primary natural source of newly fixed nitrogen. Understanding
controls on global nitrogen cycling requires knowledge of the isoform responsible for environmental
BNF. The isotopic acetylene reduction assay (ISARA), which measures carbon stable isotope (13C/12C)
fractionation between ethylene and acetylene in acetylene reduction assays, is one of the few
methods that can quantify isoform‑specific BNF fluxes. Application of classical ISARA has been
challenging because environmental BNF activity is often too low to generate sufficient ethylene
for isotopic analyses. Here we describe a high sensitivity method to measure ethylene δ13C by
in‑line coupling of ethylene preconcentration to gas chromatography‑combustion‑isotope ratio
mass spectrometry (EPCon‑GC‑C‑IRMS). Ethylene requirements in samples with 10% v/v acetylene
are reduced from > 500 to ~ 20 ppmv (~ 2 ppmv with prior offline acetylene removal). To increase
robustness by reducing calibration error, single nitrogenase‑isoform Azotobacter vinelandii mutants
and environmental sample assays rely on a common acetylene source for ethylene production.
Application of the Low BNF activity ISARA (LISARA) method to low nitrogen‑fixing activity soils, leaf
litter, decayed wood, cryptogams, and termites indicates complementary BNF in most sample types,
calling for additional studies of isoform‑specific BNF.
Nitrogen (N) fundamentally sets the limits of biological productivity, likely constraining natural ecosystem
responses to global environmental change1–3. Biological nitrogen fixation (BNF), the prokaryotic process that
converts atmospheric dinitrogen (N2) into ammonia, is the primary biological input of new bioavailable N
to global and regional N budgets. It thus plays a key biogeochemical function in diverse ecosystems includ-
ing tropical, temperate, and high latitude forests, montane grass and shrublands, as well as benthic and open
ocean environments4,5. Nitrogenase, the metalloenzyme responsible for BNF, exists in three primary isoforms,
characterized by the transition metal present at the active site: the canonical nitrogenase and the ‘alternative’,
or more recently termed ‘complementary’ vanadium (V)-only and iron (Fe)-only nitrogenases6,7. The V- and
Fe-only nitrogenases are Mo-independent, containing the more abundant crustal-sourced trace metals V and
Fe in place of Mo8.
Determining the contribution of the different nitrogenase isoforms to environmental BNF is critical for
understanding the mechanistic controls on ecosystem BNF, particularly how the coupled biogeochemical cycles
of macronutrients and biologically active trace metals respond to anthropogenic perturbations. Because calcula-
tions of BNF rate based on traditional methods (i.e., acetylene reduction assays and 15N/14N natural abundance
1Department of Geosciences, Princeton University, Guyot Hall, Princeton, NJ 08544, USA. 2High Meadow
Environmental Institute, Princeton University, Guyot Hall, Princeton, NJ 08544, USA. 3These authors contributed
equally: Shannon J. Haynes and Romain Darnajoux. *email: sjhaynes@princeton.edu; xinningz@princeton.edu
Scientific Reports | (2022) 12:22011
| https://doi.org/10.1038/s41598-022-24860-9
1
Vol.:(0123456789)www.nature.com/scientificreportsmethods) are sensitive to the nitrogenase isoform9–11, incorrect attribution of the nitrogenase isoforms active
in BNF can alter N budget estimates by as much as 50%12,13, influencing ecosystem N status and management.
The metal specificity of environmental BNF fluxes can now be assessed with the application of isoform-specific
flux tracking via the Isotopic Acetylene Reduction Assay (ISARA) and ethane yield methods combined with
nitrogenase gene sequence analyses6,12–14. These approaches have identified significant contributions of comple-
mentary V- and Fe-only nitrogenases to non-rhizobial BNF in diverse samples ranging from temperate Everglade
mangrove leaf litter, temperate coastal salt marsh sediments, and boreal cyanolichens12,13,15,16. Most recently, a
study of cyanolichen BNF across a 600 km boreal forest nutrient gradient provided the first ecosystem-scale
evidence for the role of V-nitrogenase in sustaining BNF inputs under Mo-limited conditions13, validating a long
held hypothesis on the “backup” role of complementary nitrogenases originally suggested by laboratory studies17.
Additionally, low ratios of acetylene to nitrogen reduction activity (i.e., R ratios), suggestive of complementary
BNF, have been observed for temperate soil9, boreal moss11,18, and decaying wood19. Further, complementary and
uncharacterized nitrogenase genes have been detected in wood mulch20, termite hindguts21, soil9, moss22, and
cyanolichens23,24. These studies along with accumulating examples of Mo-limited BNF in boreal18,25,26, temper-
ate, and tropical forest biomes27–33 suggest that Mo-independent, complementary BNF could play a global role.
Nevertheless, quantification of Mo-independent BNF rates in environmental samples, which often have low BNF
activity, has been challenging as the most reliable method for complementary BNF attribution, ISARA 12, requires
much higher ethylene yields than are typically observed (e.g., soil, moss, leaf litter typically generate < 300 ppmv
ethylene over 1–2 day acetylene reduction assay incubations). Broader study of complementary BNF and its
controls within important ecosystems necessitate methodological improvements of ISARA.
The ISARA method, based on the widely used acetylene reduction assay (ARA) proxy for BNF activity,
relies on natural abundance carbon stable isotope 13C/12C fractionation of acetylene reduction to ethylene
(13εAR = δ13Cacetylene – δ13Cethylene, where δ13C (‰) = ([(13C/12C)sample/(13C/12C)standard) − 1] × 1,000 ) to quantify the
activity of the different nitrogenase isozymes12. Headspace samples from ARA incubations are analyzed by
manual injection into a gas chromatograph-combustion reactor-isotope ratio mass spectrometer (GC-C-IRMS,
Fig. 1a). Ethylene (C2H4) is separated from other constituents in headspace [typically, carbon dioxide (CO2),
water (H2O), methane (CH4), and acetylene (C2H2)] by gas chromatography, the combustion reactor then con-
verts ethylene into CO2, followed by IRMS measurement of the 13C/12C ratio of the produced CO2, which is
equivalent to the 13C/12C of ethylene. A similar process yields the 13C/12C of acetylene. Several technical limita-
tions and difficulties are associated with the methods as they are currently implemented. Firstly, there is a trade-
off between analytical sensitivity (i.e., the magnitude of signal obtained per unit of ethylene concentration) and
good chromatographic separation of ethylene (i.e., yielding sharp, well-defined peaks that do not overlap with
other headspace constituents) required for accurate and reproducible analyses. This phenomenon primarily
results from the conditions of sample injection into the system (e.g., injection volume, flow rate, dilution “split”
ratio in the GC injector). Precise δ13Cethylene measurements accommodate maximum injection volumes of ~ 1 mL
and thus require samples yielding high ethylene concentrations in ARAs (> 500 ppmv). Secondly, acetylene meas-
urements (δ13Cacetylene) often have large uncertainties due to peak tailing and memory effects, which necessitates
frequent GC column conditioning (i.e., a brief increase of temperature to remove water, acetylene, and any other
analytes accumulated on the column) and combustion reactor oxidations in which pure O2 is flushed into the
reactor at high temperature to regenerate the reactor’s oxidative capacity. Finally, ethylene and acetylene isotope
measurements are calibrated to the VPDB international carbon isotope reference scale using methane isotope
standards because no ethylene standards with NIST traceable δ13C values exist. Deviations in chemical behavior
between the methane standard and target analytes, ethylene and acetylene, during chromatographic separation
and combustion can lead to biases during drift correction along and across multiple sample runs comprised of
replicate measurements. The classical ISARA method is thus relatively time-consuming and limited to samples
with high BNF activity.
Here, we describe a highly sensitive ISARA method targeted at low nitrogen-fixing activity samples (Low
BNF activity ISARA, LISARA). It includes instrumental and methodological improvements to the classical
ISARA method that enable precise quantification of Mo-independent BNF rates in samples in an automated
fashion. The novel analytical design relies on interfacing a commercially available GC-C-IRMS system used in
traditional ISARA analyses with an in-house fabricated, fully automated on-line gas ethylene pre-concentration
system (EPCon) developed from Weigand et al.35. The EPCon removes acetylene, a headspace constituent with
the greatest peak interference with ethylene, and concentrates ethylene in samples to levels that enable high preci-
sion isotope analyses at the part-per-million level with little analytical interference from non-target molecules.
In this updated method, ISARA sample requirements have been reduced from ~ 500 ppmv ethylene down to
~ 2 ppmv. To reduce calibration-based uncertainties, we propose the use of commercially available and micro-
bially-derived in-house ethylene standards, thus removing the need for acetylene measurements and enabling
better within and across laboratory comparisons. To demonstrate environmental applicability, we use LISARA
to survey low activity BNF in wood-feeding termites as well as leaf litter, soil, moss, lichens, and decayed wood
samples from suburban forests of the Northeastern US. The results suggest significant complementary BNF
activity in diverse samples.
Material and methods
Direct injection method for ethylene and acetylene δ13C analyses by GC‑C‑IRMS. Following
the direct injection approach of classical ISARA 12 with a few modifications, ARA samples with high ethylene
yield (> 500 ppmv) in 10% v/v acetylene were manually injected into a Thermo Scientific Trace GC Ultra-Isolink
with an Agilent HP-PLOT/Q capillary GC column (30 m, i.d. = 0.32 mm, f.t. = 20 μm) and a combustion reactor
connected to a Thermo Scientific Delta V Plus isotope ratio mass spectrometer (GC-C-IRMS; Fig. 1a). Modifica-
Scientific Reports | (2022) 12:22011 |
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precipitation
< 20 ppmv (10% v/v Ac)
(c)
(b)
EPCon
> 2 ppmv (No Ac)
or
> 20 ppmv (10% v/v Ac)
ETHYLENE
(a)
GC-C-IRMS
> 500 ppmv
(10% v/v Ac)
Moisture removal
Sample collection
n
o
i
f
a
N
l
2
)
4
O
C
(
g
M
V1
Vent
He backflush
Ethanol chiller
Trap 1
Liquid N
Trap 2
2
High flow
e
H
l
e
p
m
a
S
Sealed vial
with sample
Sample injection
Low flow
GC 2
Oxidation
ethylene to CO2
Thermo
Delta V
IRMS
Thermo
GC
Isolink
He + sample
Separation of
analytes
Vent
GC 1
He carrier flow
V2
He backflush
Cryofocus
Liquid N2
Trap 3
He + sample
Low He flow
V3
Open for
future
testing
V4
vent out
acetylene
Acetylene removal
(b)
EPCon
δ13C measurement
(a)
Direct injection
Figure 1. Analytical methodology for δ13C measurement of ethylene in a background matrix containing 10%
v/v acetylene or no acetylene based on (a) classical ISARA methods involving direct injection12, (b) the EPCon
system, which adds ethylene preconcentration and acetylene removal steps, and (c) an optional chemical
precipitation to remove acetylene34 prior to sample loading on EPCon. EPCon development and schematic is
adapted from Weigand et al.35. Abbreviations: Ac – acetylene.
tions include the replacement of silver ferrules in the GC oven with Valcon polymide (graphite reinforced poly-
mer) ferrules to limit memory effects from acetylene. The combustion reactor was oxidized with pure oxygen
for 1 h before each run and brief (15 min) seed oxidations were performed between measurement batches (i.e.,
required every ~ 6–8 ethylene injections, ~ 4–6 acetylene injections) to regenerate reactor oxidation capacity and
minimize drift of δ13C values. See Supplementary Table S1a online for additional instrument settings.
Ethylene Pre‑Concentration (EPCon) method. ARA samples with < 500 ppmv ethylene were ana-
lyzed using an ethylene pre-concentration system developed based on Weigand et al.35 and fabricated in-house
(EPCon, Fig. 1b). The EPCon is a fully automated on-line gas preparation system that uses a series of precisely
timed valves, cryogenic traps, and a gas chromatograph (GC) to remove background components (particularly
water and acetylene) and concentrate ethylene before it is introduced into the GC-C-IRMS. The EPCon was
developed through modification of a similar in-house system designed by Weigand et al.35 to measure nitrogen
and oxygen isotopes in seawater and freshwater nitrate35–37 and optimized for measurement of low concentration
ethylene δ13C. Differences from its direct predecessor35 include direct connection between valve 4 in the EPCon
(“V4” on Fig. 1) to the GC column in the commercial GC-C-IRMS system, by-passing the injection chamber to
eliminate associated problems (e.g., decreased sensitivity, peak broadening). Flow rates, pressures, valve and trap
timings were adjusted to effectively separate ethylene and acetylene such that acetylene could be removed from
the analyte stream, and ethylene could be cryogenically focused into a small volume prior to introduction into
the GC-C-IRMS. See Supplementary Methods S1 and Supplementary Table S1b-c online for detailed instrument
information and settings.
Chemical precipitation of background headspace acetylene. For ISARA samples with less than ~ 20
ppmv ethylene, complete GC separation of acetylene and ethylene within the EPCon system was unachievable
under our laboratory working conditions due to extreme mass imbalance in analytes. Prior to EPCon δ13Cethylene
analysis of these samples, we performed off-line acetylene removal from sample headspace by chemical precipi-
tation of acetylene with silver nitrate (AgNO3) in ammonia, producing a silver carbide salt34 (Chemical precipi-
tation, Fig. 1c). Ammoniacal AgNO3 solution (0.5 g AgNO3 in 10 mL water) was added to each sample (0.5 mL
AgNO3/10 mL headspace containing 10% v/v acetylene). Once the reaction was complete (~ 10 min), sample
headspace was transferred to an autosampler vial for EPCon analysis (Fig. 1b), and the remaining carbide salt
solution was neutralized (1 mL of 5 N HCl). Complete acetylene removal was verified by analyzing it on a gas
chromatograph with a flame ionization detector (GC-FID). We estimated the influence of chemical precipita-
tion of acetylene on δ13Cethylene values using control samples made with 2000 ppmv ethylene (from tank EY-4)
with and without the addition of 10% v/v acetylene (n = 3, Table 1). Given the highly reactive nature of the silver
carbide salt product of precipitation when dry, acetylene precipitation needs to be handled with great care34 and
it was only performed as necessary in this study (e.g., sample ethylene < 20 ppmv).
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Quality controls and data processing. To ensure continuity between our sample analyses within-runs
and in the long term (between runs), we used commercially available ethylene and acetylene gas tanks as in-
house tank standards (ethylene EY-4, EY-8, acetylene AY-1, AY-4, Table 1) for drift correction and daily quality
assurance checks. Quality control standards to test IRMS and EPCon performance were analyzed before each
batch of samples that were run. All δ13Cethylene measurements produced by the EPCon-GC-C-IRMS during long
(~ 30 h) runs were corrected for drift in instrumental response over time relative to the drift correction standard
(EY-4) that was measured at uniform intervals throughout sample runs using linear interpolation between drift
correction standards. A second standard (EY-8 or a separate batch of EY-4 standards) was used to indepen-
dently validate the drift correction process. Data from direct injections were processed according to the classical
method described by Zhang et al., 201612, and did not require drift correction due to the frequent seed oxidations
of the reactor. See Supplementary Table S2 online for sample loading details with placement of quality control
check standards and Supplementary Data S1 online for data processing calculations.
Analytical method validation. For each measurement method (i.e., direct injection, EPCon, and chemi-
cal precipitation + EPCon), we determined the sensitivity, limit of quantification, linearity range, intraday repeat-
ability, and within laboratory reproducibility (as defined in Carter and Barwick, 201138) by repeated analysis of
the main in-house ethylene tank standard (EY-4) under various conditions (Table 1). Sensitivity was determined
by linear regression of the IRMS response mass 44 signal (area in volt seconds [Vs]) relative to the amount of
ethylene carbon (C) loaded (in nmols C). Linearity range was defined by the lowest and highest quantities of
ethylene C that could be directly injected into the GC or loaded into the EPCon autosampler to obtain a mass
44 peak amplitude of 1–6 V (typical conservative analytical range). Samples were loaded with a goal of ~ 2 V for
the mass 44 signal. Repeatability (i.e., intraday variability) was estimated as the average of the standard devia-
tions for each day over 26 days for the EPCon, and 6 days for direct injection. Within lab reproducibility was
calculated using the standard deviation of average δ13C measurements for each day over 26 days for the EPCon
and 6 days for direct injection.
The limit of quantification (LOQ) was determined based on the minimum ethylene concentration (in ppmv)
that could be measured using each method. The technical LOQ, based on ethylene standards and samples with
no acetylene, is bounded by the minimum accepted peak amplitude (1 V for mass 44) and the maximum loading
volumes for each method (direct injection, 1 mL as constrained by injector and GC column loading; EPCon and
chemical precipitation methods, 20 mL as constrained by autosampler vial volume). The methodological LOQ
for samples with a 10% matrix, set by the maximum loading volume that avoids overloading the system with
acetylene, is 0.5 mL for acetylene and 1.5 mL for EPCon. The methodological LOQ when chemical precipitation
was used is ~ 2 ppmv, the lowest sample concentration before the background ethylene concentration carried
over in acetylene generated from calcium carbide is greater than ethylene from sample acetylene reduction.
Bacterial cultures. Azotobacter vinelandii mutants utilizing only Mo-nitrogenase (‘MoNase’ mutant, strain
CA70.139) or only V-nitrogenase (‘VNase’ mutant, strain CA11.7040) for nitrogen fixation were grown aerobi-
cally at 30 °C in a modified Burks medium12,41 with 100 nM to 1 µM NaMoO4 (strain CA70.1) or NaVO3 (strain
CA11.70). CA70.1 is a double gene deletion mutant (ΔvnfDGK::spc, ΔanfHD70::kan) that expresses only the
nif genes (Mo-nitrogenase). CA11.70 is also a double gene deletion mutant (ΔnifHDK, ΔanfHD70::kan) that
expresses only the vnf genes (V-nitrogenase). Exponential phase cells (OD620nm ~ 0.3–0.8) were sampled to initi-
ate acetylene reduction assays. See Supplementary Methods S2 online for details.
Environmental samples. Natural surface samples (moss, cyanolichens, leaf litter, topsoil, decaying wood)
and wood-feeding termites with low BNF activity were assessed for complementary nitrogenase activity. Sam-
ples were collected from forested sites in central New Jersey (Institute of Advance Studies, Stony Ford Reserve,
Pine Barrens, Watershed Institute) and New Hampshire (Mount Moosilauke) from 2019 to 2021. At each site,
triplicates of each sample type were collected from one or more stations (10 m × 10 m per station separated
by 500–1000 m). Samples, stored at room temperature, were assessed by ARAs within 5 days of collection.
Wood-feeding termites (genus Zootermopsis) were obtained from Ward Scientific (https:// www. wards ci. com)
and maintained within controlled laboratory habitats for 2–16 days prior to ARA. See Supplementary Methods
S3 and Supplementary Table S3 online for details.
Acetylene reduction assays. Acetylene reduction assays42 (ARAs) were performed on Azotobacter cul-
tures and environmental samples using 10% v/v acetylene generated from calcium carbide. Headspace ethyl-
ene concentration was monitored by GC-FID. See Supplementary Methods S2, S3 and Supplementary Table S3
online for ARA details.
Azotobacter ARAs were conducted at 30 °C, 200–250 rpm shaking in 25–240 mL serum bottles sealed with
20 mm blue butyl stoppers (Bellco), containing 10% by volume of cell culture and a starting headspace composi-
tion of 90% v/v air and 10% v/v acetylene. Headspace gas was transferred to evacuated serum vials (10 mL) with
20 mm blue butyl stoppers (Bellco) to be saved for later IRMS analysis once headspace ethylene concentrations
reached 100–2200 ppmv (MoNase strain, typically within 4 h of incubation) and 50–200 ppmv (VNase strain,
within 6 h of incubation), yielding in-house ethylene scaling standards EY-Mo-1 and EY-V-1 (Table 1, Fig. 2).
Field sample ARAs were conducted in 100–500 mL glass canning jars (Mason, Ball) with metal lids fitted
with 20 mm blue butyl stoppers (leaf litter, soil, and wood, Supplementary Table S3); in 30 mL glass vials with
screw caps fitted with PTFE/silicone septa (moss, lichens, soil, Supplementary Table S3); or in 15 mL serum
vials sealed with 20 mm butyl stoppers (termites, Supplementary Table S3). Control incubations (no acetylene
added) were performed with leaf litter, soil, decaying wood (Mt. Moosilauke, Pine Barrens), moss and lichens (Mt.
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Vol:.(1234567890)www.nature.com/scientificreports/Moosilauke), and termite samples to assess natural endogenous ethylene production independent of acetylene
reduction. ARA incubation times for environmental samples varied from ~ 2 to 300 h (Supplementary Table S3)
depending on the rate of ethylene production, with a goal of obtaining at least 20 ppmv ethylene. Sample weights
for ARA incubations were variable due to sample availability and estimated ethylene production rate, and are
listed for each location and sample type in Supplementary Table S3. ARA headspace was subsampled (≤ 3 mL) to
measure ethylene concentration by GC-FID, and the remaining headspace was transferred to evacuated sealed
vials (10 mL) for later isotopic analysis.
Background ethylene correction. Due to low BNF activity, δ13Cethylene was corrected for isotopic influ-
ence of background ethylene (~ 2 ppmv) carried over into ARAs by 10% v/v source acetylene (See Supplemen-
tary Methods S4, Eqn. S1 online). Background correction was required for ARA samples producing < 20 ppmv
ethylene; no quantitative information on nitrogenase could be derived from samples producing < 5 ppmv ethyl-
ene due to the isotopic influence of background ethylene. For ARAs yielding ethylene > 5000 ppmv (i.e., 5% of
acetylene concentration), δ13Cethylene was also corrected for Rayleigh fractionation12,43.
Direct δ13Cethylene and 13εAR scaling methods to quantify complementary nitrogenase contribu‑
tion. One of three methods (Fig. 2) was used to quantify the contribution of complementary nitrogenase to
acetylene reduction (as %VNase or %FeNase) in ARAs using δ13Cethylene and δ13Cacetylene. The scaling method used
was dependent on whether precise measurements of source δ13Cacetylene values were achievable, given sample
availability and technical difficulties in chromatography and combustion. EPCon-GC-IRMS was used to meas-
ure δ13Cethylene. All δ13Cacetylene measurements were made using the direct injection approach. See Supplementary
Methods S5, Supplementary Table S4, and Supplementary Data S1 online for expanded calculation details.
Method 1- The direct scaling approach (Fig. 2), which circumvents the need to measure δ13Cacetylene, was used
to calculate complementary nitrogenase contribution when the same source of acetylene stock was used in envi-
ronmental sample ARAs as a set of calibration ARAs performed with MoNase and VNase strains of Azotobacter
vinelandii. Measured δ13Cethylene in environmental sample ARAs is converted to %VNase using endmember
δ13Cethylene values (e.g., ethylene scaling standards, Table 1, Fig. 2) diagnostic of 0% and 100% VNase activity
generated, respectively, by MoNase and VNase Azotobacter calibration ARAs (See Supplementary Methods, S4,
Eqn. S3 online). See Supplementary Methods S2 online for details on setup and analyses of Azotobacter ARAs.
When source acetylene stock used in sample ARAs was not processed in Azotobacter calibration ARAs, we
quantified complementary nitrogenase contribution using classical ISARA approaches12 (Fig. 2, methods 2 and
3), which require knowledge of both sample δ13Cacetylene and δ13Cethylene to account for isotopic variation in dif-
ferent acetylene stocks in calculations of 13εAR (= δ13Cacetylene – δ13Cethylene).
Method 2- The δ13Cacetylene of different acetylene stocks used in sample and Azotobacter ARAs, measured
with the direct injection method, was used with sample δ13Cethylene to calculate 13εAR, followed by calibration
to the %VNase scale using 13εV and 13εMo of Azotobacter and other diazotrophs, Rhodopseudomonas palustris
and Anabaena variabilis (Fig. 2, Supplementary Methods S5, Supplementary Table S4, Supplementary Data S1;
calculation modified from Zhang et al., 201612).
Method 3- When precise measurement of δ13Cacetylene by direct injection for the specific stock of acetylene
within an ARA was unachievable, we used the mean and standard deviation of δ13Cacetylene for seven different
batches of acetylene generated from calcium carbide over the past 4 years (δ13Cacetylene = 14.9 ± 0.9 ‰, n = 8;
Supplementary Fig. S1; Eqn. S5) in 13εAR calculations. %VNase was calculated using 13εV and 13εMo values from
Azotobacter and other diazotrophs as in method 2 (Fig. 2, Supplementary Methods S5, Supplementary Table S4,
Supplementary Data S1).
Unstable growth of the A. vinelandii Fe-only nitrogenase strain (RP1.1144, ‘FeNase’ mutant) precluded cal-
culations of %FeNase based on Azotobacter. Calculations %FeNase (Fig. 2, Supplementary Method S5, Table S4,
Data S1) used EPCon derived 13εFe = 5.2 ± 0.7‰ (s.d.) from Rhodopseudomonas palustris using only FeNase12 in
ARAs . Because 13εFe < 13εV < 13εMo
12, significant FeNase activity can lead to %VNase values > 100% (i.e., 100%
FeNase is equivalent to ~ 140% VNase; Supplementary Table S4). Estimated uncertainty on the %FeNase scale
is at most ~ 20%.
Complementary nitrogenase contributions to N2 fixation and isoform adjusted total N2 fixation rates can be
calculated using %VNase or %FeNase contribution to AR (see above) and R ratios specifying the rate of AR to
N2 fixation for each nitrogenase (e.g., RMoNase = 4 , RVNase = 2, RFeNase = 0.5)12.
Results
Increase in sensitivity and linearity range with the EPCon‑GC‑C‑IRMS system. Measurement
sensitivity of δ13Cethylene by GC-C-IRMS is ~ 40-times higher with the addition of the EPCon peripheral than
by direct injection (4.3 vs. 0.1 Vs nmolC−1, Table 1). By removing acetylene and condensing ethylene prior
to on-column introduction into the GC-C-IRMS, the EPCon-GC-C-IRMS system produces reliable δ13Cethylene
measurements with as little as 1.1 nmol C ethylene, whereas the direct injection method requires > 23.6 nmol C.
The larger volume allowance of the EPCon autosampler (20 mL) relative to the GC-C-IRMS sample inlet port
(≤ 1 mL) and increased sensitivity enables measurement of gases with ≥ 0.7 ppmv ethylene in the absence of
background acetylene. The minimum ethylene concentration for samples with a background of 10% v/v acety-
lene (typical ARA samples) is 9 ppmv, or 2 ppmv if background acetylene is removed by chemical precipitation
prior to EPCon analyses. Conservatively, minimum working ethylene concentrations for ARA samples are 500
ppmv (direct injection), 20 ppmv (EPCon-GC-C-IRMS), and 5 ppmv (chemical precipitation + EPCon-GC-C-
IRMS). The lower sensitivity of the direct injection GC-C-IRMS method is partly due to the necessary use of a
high split-ratio within the sample injector port (40:1 – the proportion of sample and He carrier gas flow that is
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Vol.:(0123456789)www.nature.com/scientificreports/Method 1
Methods 2, 3
10%
acetylene
VNase
mutant
ethylene
sample
ethylene
MoNase
mutant
ethylene
10%
acetylene
sample
ethylene
(cid:31)13C
100
sample
0
%VNase
VNase
est.
sample
MoNase
est.
(cid:31)13C
13(cid:30)
AR
%VNase
1.
%VNase =
(
(cid:31)13CMo - (cid:31)13Csample
(cid:31)13CMo - (cid:31)13CV
)x 100
2.
3.
%VNase =
(
%VNase =
(
100
sample
0
13(cid:30)
Mo est - ((cid:31)13Csource acetylene - (cid:31)13Csample )
13(cid:30)
Mo est - 13(cid:30)
V est
) x 100
13(cid:30)
Mo est - ((cid:31)13C acetylene est - (cid:31)13Csample )
13(cid:30)
Mo est - 13(cid:30)
V est
) x 100
Figure 2. Overview of direct δ13Cethylene and 13εAR (= δ13Csource acetylene – δ13Cethylene) scaling methods for
converting sample δ13Cethylene values to percent acetylene reduction by V-nitrogenase (%VNase). In the direct
scaling method 1, the same batch of source acetylene is used in ARA incubations of Azotobacter mutants
expressing only Mo or VNase as for the environmental samples, precluding the need to measure δ13Csource acetylene
and enabling %VNase to be calculated based solely on δ13Cethylene. Following 13εAR scaling methods12, different
batches of acetylene can be used for sample and single nitrogenase calibration (e.g., mutant) ARAs; measured
13Csource acetylene along with measured δ13Cethylene for each batch of
(method 2) or estimated (method 3) values of
ARAs are used to calculate 13εAR values, which are then converted to %VNase by comparison with 13εMo and 13εv.
ẟ
See Method section above and Supplementary Methods S5 online for equation details.
vented from the injection port relative to the proportion that enters the GC column) to fully resolve ethylene (~ a
few to several hundred ppmv) and acetylene (~ 100,000 ppmv) peaks with our capillary GC column.
Comparison of precision and accuracy between direct injection and EPCon‑GC‑C‑IRMS meth‑
ods. We used tank ethylene with constant δ13C compositions as internal standards over the course of ~ 30-h
runs (~ 75 samples and ~ 45 quality controls, typical run setup in Supplementary Table S2 online) for intra-day
drift corrections (2–4‰-range; Supplementary Fig. S3) caused by reactor aging over time (without frequent
seed-oxidations), ensuring the comparability of results over multiple days (long term s.d. = 0.2‰, Table 1).
Repeatability and within-lab reproducibility of δ13Cethylene from tank EY-4 are similar for both direct injection
and EPCon-GC-C-IRMS methods (repeatability 0.11‰ and 0.20‰; reproducibility 0.27‰ and 0.17‰, respec-
tively). In addition to high reproducibility of δ13Cethylene from the EPCon system, δ13Cethylene values obtained by
EPCon and direct injection methods for all ethylene standards were in good agreement (Table 1). We conclude
that the EPCon system does not introduce substantial bias into the accuracy of the results, and EPCon data are
directly comparable with published results obtained using direct injection methods12,13,15,16.
Several sources of uncertainty and bias for ethylene and acetylene δ13C measurements were identified using
tank standards. At times, the automatic integration proposed by the software under-estimated the expected
δ13C value of the standard, likely due to substantial tailing of 13C relative to 12C linked to the combustion reactor
(Supplementary Fig. S3). This phenomenon was more pronounced with δ13Cacetylene analyses, possibly due to
stronger interactions between acetylene and combustion reactor metals (CuO, NiO, Pt) as well as the GC column
itself. Excess acetylene (i.e., peak amplitude of mass 44 > 5 V) apparent during δ13Cethylene analyses exacerbated
peak tailing problems, causing decreased δ13Cethylene precision (by as much as 5‰). GC column and combustion
reactor reconditioning was required when excess acetylene was inadvertently introduced into the GC-C-IRMS
(e.g., incomplete venting within EPCon).
Robustness of the EPCon system to background components in headspace matrices. We
tested the interferences of different gases commonly present in environmental samples and of background gases
generated during ARA. The EPCon system successfully removes most background gases (Air/N2, CH4, CO2,
acetylene) and minimizes their peak interferences with ethylene (Table 1). Only ethane, produced at < 3% of the
rate of ethylene by nitrogenase in ARAs12,14, is retained by the EPCon, but its isotopic interference with ethyl-
ene is minimal as ethane and ethylene peaks are well-separated in the GC-C-IRMS.
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Vol:.(1234567890)www.nature.com/scientificreports/Analytical parameters
Direct injection
EPCon
Chem Precip + EPCon
Methods
Performance
Sensitivity (Vs.nmol C ethylene−1)
Technical limit of quantificationa (ppmv ethylene)
Methodological limit of quantification for samples in 10% v/v acetylene matrixb (ppmv
ethylene)
Linearity rangec (nmol C ethylene)
0.1
320
600
4.3
0.7
9
23.9 to 143.5
1.1 to 6.7
s.d.‰ (n days)
0.11 (6)
0.27 (6)
0.20 (26)
0.17 (26)
N/A
0.7
2
N/A
0.13
ND
Composition, vendor (part
no.)
δ13Clab CO2
δ13Clab CO2
δ13Clab CO2
Average ± s.d. ‰ (n days)
Precision
Repeatability ethylene d
Within lab reproducibility ethylene d
Accuracy
Standard ID, usage
Ethylene:
EY-4, drift correction, daily QC
100% ethylene, Airgas (EY R35) 10.0 ± 0.3 (6)
10.1 ± 0.3 (26)
10.4 ± 0.3 (2)
EY-8, drift validation, daily QC
EY-Mo-1e,f, relative scaling
EY-V-1e, relative scaling
Acetylene:
AY-1, daily QC
AY-4, daily QC
1000 ppmv ethylene in He,
Airgas (custom mix)
ethylene from Azotobacter
vinelandii MoNase mutant
ethylene from Azotobacter
vinelandii VNase mutant
10.6 ± 0.2 (2)
10.6 ± 0.2 (6)
0.6 ± 0.2 (2)
0.2 ± 0.4 (9)
7.0 ± 0.2 (2)
6.9 ± 0.3 (7)
100% acetylene, Airgas (spe-
cialty gas)
1,000 ppm acetylene in He,
Airgas (custom mix)
14.2 ± 0.9 (11)
15.9 ± 0.8 (3)
N/A
N/A
N/A
N/A
N/A
N/A
N/A
Chromatographic interference of background components
Acetylene (C2H2)
Air (N2)
Carbon dioxide (CO2)
Ethane (C2H6)
Methane (CH4)
Nitrous oxide (N2O)
Water (H2O)
If Vinj > 0.5 mL
If Vinj > 1.5 mL
N/A
Interference w/ methane
Yes
Vented at V1
Vented at V4
Vented at V1
Vented at V4
No interference
No interference
No interference
No interference w/ ethylene
Vented at cryotrap
Vented at cryotrap
Reduced to N2 in combustion
reactor
Reduced to N2 in
combustion reactor
Reduced to N2 in
combustion reactor
Accum. leads to instability
Trapped and/or
flushed
Trapped and/or
flushed
Table 1. Analytical performance of Direct Injection, EPCon, and Chemical Precipitation + EPCon methods
for δ13C measurements of ethylene. All parameters reported here were obtained under conditions typical of
a controlled laboratory environment (e.g. relative humidity between ~ 20 and 60%, temperature at 21 ± 2 °C).
Accuracy statistics are reported only for days when a particular standard was measured at least three times. See
Supplementary DATA 1, tab “Supporting data for Table 1” for the full data set. a constrained by the minimum
accepted peak amplitude (1 V for mass 44) and the maximum loading volumes for each method, 1 mL for
direct injection, and 20 mL for EPCon and Chemical precipitation. b set by the maximum loading volume
without overloading the system with acetylene (0.5 mL for direct injection and 1.5 mL for EPCon), and for
Chemical precipitation, by the overprinting of sample δ13C with background ethylene carried over in acetylene
generated from calcium carbide (~ 2 ppm). c conservative range of acceptable mass 44 peak amplitudes is 1–6 V.
d corrected for instrumental drift. e corrected for background ethylene in acetylene generated from calcium
carbide. f corrected for Rayleigh fractionation.
LISARA analyses of ARA incubations from environmental samples. The measurement of δ13Cethylene
by EPCon-GC-C-IRMS and δ13Cacetylene by direct injection GC-C-IRMS for sample ARAs forms the basis of the
Low BNF activity Isotopic Acetylene Reduction Assay method (LISARA). We applied LISARA to diverse envi-
ronmental samples (soil, leaf litter, decayed wood, moss, and cyanolichens from sites in the Northeastern US,
and laboratory raised wood-feeding termites) with a wide range of ethylene yields in ARAs (5–1000 ppmv).
One (or more) of three calculation methods (Fig. 2) was used to obtain %VNase (or %FeNase) contributions to
acetylene reduction (AR; methods 1, 2, 3, Figs. 2 and 3).
The classical ISARA method12 uses 13εAR, the carbon stable isotope fractionation due to acetylene reduction
in ARAs (i.e., δ13Cacetylene– δ13Cethylene), and diagnostic 13εAR values for AR by each nitrogenase isoform (13εMo, 13εV,
and 13εFe, Supplementary Table S4) to determine %VNase or %FeNase (Figs. 2 and 3). To circumvent acetylene
δ13C measurement, which has typical uncertainties 3–4 times higher than of ethylene (Table 1) and is often
retained in the system to necessitate frequent GC-C reconditioning, we developed a direct scaling approach to
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150
100
50
0
200
150
100
50
0
)
%
(
e
l
a
c
s
e
s
a
N
V
%
200
150
100
50
0
Av MoNase
Av VNase
Rp FeNase
Method #1
Method #2
Method #3
Lichens
Leaf litter
Moss
Sample Type
Termites
Soil
Decaying wood
Sample Identifiers
Laboratory grown
100
Mt. Moosilauke, NH
IAS Woods, NJ
Stony Ford, NJ
Pine Barrens, NJ
Watershed Institute, NJ
2x total uncertainty
50
0
)
%
(
e
l
a
c
s
e
s
a
N
e
F
%
100
50
0
100
50
0
Figure 3. Complementary nitrogenase contribution to acetylene reduction (as %VNase or %FeNase) within
ARAs on environmental samples with low BNF activity and single nitrogenase utilizing diazotroph cultures.
Sample summary statistics (Avg ± s.d. %VNase, Range %VNase, no. samples): Leaf litter (32.4% ± 45.4%,
− 19.9 to 195.4%, 30), Lichens (− 0.8% ± 4.7%, − 8.9 to 5.6%, 6), Moss (65.3% ± 37.9%, − 14.5 to 123.0%, 31),
Soil (123.9% ± 37.2%, 25.4 to 177.8%, 21), Termites (130.1% ± 22.0%, 104.8 to 156.6%, 7), and Decaying wood
(125.9% ± 32.6%, 40.6 to 167.6%, 43). Abbreviations are as follows: Av MoNase – Azotobacter vinelandii MoNase
strain, Av VNase – A. vinelandii VNase strain, and Rp FeNase – Rhodopseudomonas palustris FeNase strain. See
Supplementary Methods S5 and S6, and Supplementary Data S1 online for details of scaling and uncertainty
calculations.
calculate complementary nitrogenase contribution based solely on δ13Cethylene (Fig. 2, method 1). This is achieved
by comparing δ13Cethylene generated from a common source of acetylene stock used within environmental sample
ARAs (δ13Csample) and sets of isotopic calibration ARAs performed with MoNase and VNase strains of Azoto-
bacter vinelandii (δ13CMo and δ13CV, Fig. 2, Supplementary Methods S5). We could not determine δ13CFe values
for %FeNase calculations with A. vinelandii by direct scaling approaches as the growth of the FeNase strain
RP1.1144 was unstable.
Ideally, all samples isotope values would be scaled to % complementary nitrogenase using method 1, the
direct scaling approach because it is associated with the least amount of uncertainty. Methods 2 and 3, applied
to samples that were analyzed before direct scaling standards and associated protocols were developed, can
also be used in cases where direct scaling procedures could not be completed (e.g., insufficient acetylene, failed
Azotobacter ARA experiments). While method 3 is associated with the highest uncertainty, it provides the fastest
means to estimate the contribution of complementary nitrogenases to BNF.
With the exception of cyanolichens, all sample types exhibited an isotopic signal consistent with comple-
mentary nitrogenase activity (Fig. 3, summary statistics in legend, note that 140% VNase is equivalent to 100%
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FeNase, see Methods above). Potential contributions of complementary nitrogenase to AR in leaf litter and moss
samples ranged from 0 to 100% VNase, with the exception of one leaf litter sample with 195% VNase. Potential
contributions in decaying wood and termites ranged from 40 to 160% VNase. Soil data are also highly variable,
ranging from 30 to 180% VNase. A few of the 114 samples analyzed are outliers with greater than ~ 200% VNase
(1 moss, 2 soil samples, data not shown in Fig. 3), which we attribute to isotopic fractionation of gas due to
stopper leakage.
The estimated uncertainty for %VNase contributions to AR for environmental samples quantified by direct
scaling of δ13Cethylene values is lower than uncertainties from 13εAR–based methods: ~ 9% for direct scaling method
1, ~ 15% for 13εAR method 2, ~ 20% for 13εAR method 3 (Fig. 3, Supplementary Method S5; Supplementary Data
S1). The increased precision obtained by directly scaling δ13Cethylene to %VNase (method 1) avoids the uncer-
tainty associated with δ13Cacetylene measurements. This is evident in Fig. 3, where %VNase values for the single
nitrogenase mutants (i.e., values for Av MoNase, and Av VNase in Fig. 3) are more tightly clustered for method
1 (uses direct scaling of sample and mutant δ13Cethylene values) than those for methods 2 and 3 (uses explicit 13εAR
values). Most complementary nitrogenase attributions for single nitrogenase culture ARAs cluster within 15%
of their expected values (i.e., 0% VNase for A. vinelandii MoNase strain, 100% VNase for A. vinelandii VNase
strain, 100% FeNase = 140% VNase for R. palustris FeNase strain) however a few samples show ~ 20–30% errors
(e.g., ~ 130% VNase for A. vinelandii VNase strain, ~ − 20% VNase for A. vinelandii MoNase strain). Uncertain-
ties for %FeNase quantified using 13εAR and 13εFe from Rhodopseudomonas palustris FeNase are ~ 15–20% (Sup-
plementary Method S6, Supplementary Data S1). Thus, samples requiring the highest precision (very low BNF
activity) for quantifications of complementary nitrogenase contribution should use the δ13Cethylene-based direct
scaling method (method 1).
Given the uncertainties, ARA samples with > 160% in the %VNase scale and > 120% in the %FeNase scale must
be strongly influenced by processes unrelated to BNF (e.g. natural endogenous ethylene cycling—production or
consumption, gas leakage from stoppers). Non-BNF related fractionation may explain the > 160% VNase values
observed for certain samples of litter (n = 1), moss (n = 1), soil (n = 4), decayed wood (n = 2).
Discussion
Analytical improvements of δ13Cethylene measurement in environmental samples with trace
levels of ethylene.
Increased sensitivity in the EPCon-GC-C-IRMS system compared to GC-C-IRMS
(Table 1) results in ~ 120–450 times lower sample ethylene requirements (depending on whether acetylene is also
present in the sample, Table 1). Importantly, EPCon analyses of ARA samples results in limited exposure of the
GC column and combustion reactor to the acetylene in ARA samples, which causes substantial drift in analytical
outputs due to acetylene degradation of GC column and reactor performance. Combined with intra-day drift
corrections based on tank gas with a constant δ13C, use of the EPCon system yields more reproducible results,
limits the number of reactor oxidations, and extends the lifetime of the reactor and capillary GC column, thus
reducing time and long-term cost per IRMS analysis. Further, all of these instrumental and analytical improve-
ments ensure comparable results with much lower ethylene concentrations across analytical runs and experi-
ments, without compromising reproducibility. As a result, 120 measurements of δ13Cethylene can be achieved in an
automated fashion over a 30-h run in the EPCon system compared to 7–10 days of full-time work for one person
using direct injection into the GC-C-IRMS.
The LISARA method is a key analytical improvement necessary to studies of nitrogen fixation by complemen-
tary nitrogenases in the global environment. The EPCon-GC-C-IRMS analytical upgrade allows for the reliable
and reproducible isotopic characterization of ethylene in ARA samples at virtually any ethylene concentration.
In practice, samples with as low as 20 ppmv ethylene can be routinely measured before the capacity for acety-
lene removal by the EPCon is reached (Fig. 1). Very low yield ARA samples (5–20 ppmv ethylene) can also be
measured by the EPCon system following the complete removal of acetylene from the headspace using chemical
precipitation (see Methods section). However, the presence of background ethylene carried over in acetylene
used for ARAs and potential natural endogenous ethylene production (i.e. unassociated with BNF) can affect
δ13Cethylene values, complicating interpretations of complementary nitrogenase contribution in very low BNF
activity samples assessed using LISARA.
The development of a direct scaling approach to calculate complementary nitrogenase contributions based
solely on δ13Cethylene from LISARA analyses circumvents several limitations associated with traditional ISARA,
such as needing ethylene concentrations > 500 ppmv and the requirement for δ13Cacetylene measurements. Further,
the offline precipitation step to completely remove acetylene from ARA sample headspace would enable any
microbiology or wet-chemistry lab to outsource ISARA analyses of ethylene from sample and single nitrogenase
calibration ARAs run with the same source acetylene to other stable isotope analytical laboratories for δ13Cethylene
measurements. We note that the comparability of absolute δ13C values across research groups may vary and be
difficult to assess as multiple factors (e.g., type of GC column and oxidation reactor state) can influence absolute
δ13C values. This makes the simultaneous analyses of single nitrogenase calibration ARAs and environmental
samples particularly important.
Aside from studies of complementary nitrogenase, the EPCon system also has applications in other fields,
including plant biology. For example, EPCon analysis of the isotopic composition of endogenously produced
ethylene (e.g., by soil bacteria and plants), a phytohormone involved in stress response and seed germination45,
could help identify its sources, and track its cycling in complex soil environments.
LISARA suggests widespread complementary nitrogenase activity in environmental samples
from the Northeastern United States. Of the diverse terrestrial samples characterized using LISARA,
5 of the 6 sample types exhibited δ13Cethylene values consistent with some contribution of complementary nitro-
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Vol.:(0123456789)www.nature.com/scientificreports/genase to BNF activity (Fig. 3). These results add to growing evidence suggestive of widespread complementary
nitrogenase activity in terrestrial ecosystems. Contrary to a previous study on the cyanolichen species Peltigera
in boreal forests, which revealed high levels of complementary nitrogenase activity13, we found no evidence
of VNase activity in samples of the same genus collected in the temperate Northeastern US (Fig. 3, lichens).
Complementary nitrogenase activity in this cyanolichen genus has been found to be primarily controlled by the
−1)13, which reflects atmospheric
quantity of molybdenum in lichen thalli (Mo thalli content < 300 µgMo.gdry_lichen
deposition. The higher atmospheric deposition rate of Mo in the temperate Northeastern US46 may provide suf-
ficient Mo to these lichen samples to obviate the need for complementary nitrogenase BNF.
The consistent complementary nitrogenase activity observed here for Northeastern leaf litter, soil, decaying
wood samples, and for wood feeding termites likely reflects different and more complex Mo controls on BNF
than in cyanolichens and moss, which are more directly connected to Mo-rich atmospheric deposition. Differ-
ences likely exist in the Mo requirements among diazotrophs, possibly reflecting variations in organism-level
metal management strategies47 and in the physicochemical properties of environments around diazotroph cells,
which can modulate Mo bioavailability. For example, higher levels of certain forms of organic matter with strong
Mo binding capacity (catechol moieties) in samples48 could result in higher total Mo requirements for Mo BNF,
influencing Mo and complementary nitrogenase relationships across samples49. Collectively, our results highlight
the need for more detailed studies on complementary BNF and its controls in many common sample types.
Remaining analytical limitations and future methodological improvements. The presence of
background ethylene in the source acetylene (~ 2 ppmv ethylene per 10% v/v acetylene from calcium carbide)
remains a challenge when quantifying complementary nitrogenase in environmental samples with very low
activity (< 20 ppmv ethylene generated in ARAs). While the isotopic signal of background ethylene in source
acetylene can be determined easily using the present EPCon methods, there is significant variability (8.4 ± 1.9‰,
n = 8 acetylene batches). Isotopic corrections for the background ethylene do not lead to much loss in precision
and accuracy within ARAs containing 10–20 ppmv ethylene yield but would result in a large increase in uncer-
tainty for samples with ethylene < 10 ppmv. Hence the LISARA method can only provide qualitative information
on complementary nitrogenase for samples with 2–5 ppmv ethylene.
When probing environmental samples, natural cycling of endogenous ethylene by soil bacteria and plants can
also interfere with the quantification of complementary nitrogenase contribution (see Hendrickson 198950 and
references therein). Because low-oxygen conditions favor ethylene production and inhibit ethylene oxidation50,
long incubations are likely to increase this phenomenon. In this study, we observed significant endogenous pro-
duction of ethylene (i.e., > 5% of the ARA produced ethylene concentration for a given sample type and location)
in 12 out of 93 “no acetylene added” control samples. All 12 samples that contained endogenous ethylene were
incubated for 290 to 300 h (27 samples were incubated for that long). Another batch of 27 samples incubated
for 165 to 175 h did not show signs of endogenous ethylene production. Acetylene has been reported to inhibit
ethylene oxidation, thus “no acetylene added” control samples might not be sufficient to assess endogenous eth-
ylene production in ARAs with very low ethylene yield (< 20 ppmv)50. Thus, we recommend incubating samples
for ideally less than 60 h when conducting an ISARA or LISARA surveys. Overall, the low endogenous ethylene
production rate from our samples during incubations (Supplementary Table S3), and the similarity among iso-
topic signatures obtained for each sample type over four sites, 2 years, and various incubation times (2–300 h)
indicates that natural ethylene cycling has minimal influence on our reported results.
Our updated analytical procedure and methodology now allows for the investigation of the contribution
and environmental controls on complementary nitrogenase in most N2 fixing samples, notwithstanding the
remaining limitations in LISARA analysis of very low-yield ethylene samples from ARA. The LISARA method
decreases uncertainty and bias associated with acetylene measurements and allows for the broader use of the
ISARA methodology with pure cultures and high yield organisms. Finally, our study of common sample types in
several temperate ecosystems of the Northeastern US provides further evidence for the ecological importance of
complementary nitrogenase to the cycling of nitrogen and trace metals in terrestrial ecosystems. Sample-specific
differences in contribution, as suggested by our results, calls for more investigation into the controls on isozyme
specific nitrogenase in natural environments.
Data availability
All data presented here can be found online in Supplementary Information 1 (includes Methods S1–S6; Fig-
ures S1–S3; Tables S1–S5), and Supplementary Data S1.
Received: 22 August 2022; Accepted: 22 November 2022
References
1. Elser, J. J. et al. Global analysis of nitrogen and phosphorus limitation of primary producers in freshwater, marine and terrestrial
ecosystems. Ecol. Lett. 10, 1135–1142. https:// doi. org/ 10. 1111/j. 1461- 0248. 2007. 01113.x (2007).
2. LeBauer, D. S. & Treseder, K. K. Nitrogen limitation of net primary productivity in terrestrial ecosystems is globally distributed.
Ecology 89, 371–379 (2008).
3. Zhang, X., Ward, B. B. & Sigman, D. M. Global nitrogen cycle: critical enzymes, organisms, and processes for nitrogen budgets
and dynamics. Chem. Rev. 120, 5308–5351. https:// doi. org/ 10. 1021/ acs. chemr ev. 9b006 13 (2020).
4. Cleveland, C. C. et al. Patterns of new versus recycled primary production in the terrestrial biosphere. Proc. Natl. Acad. Sci. 110,
12733–12737. https:// doi. org/ 10. 1073/ pnas. 13027 68110 (2013).
5. Du, E. et al. Global patterns of terrestrial nitrogen and phosphorus limitation. Nat. Geosci. 13, 221–226. https:// doi. org/ 10. 1038/
s41561- 019- 0530-4 (2020).
Scientific Reports | (2022) 12:22011 |
https://doi.org/10.1038/s41598-022-24860-9
10
Vol:.(1234567890)www.nature.com/scientificreports/ 6. Bellenger, J. P., Darnajoux, R., Zhang, X. & Kraepiel, A. M. L. Biological nitrogen fixation by alternative nitrogenases in terrestrial
ecosystems: a review. Biogeochemistry 149, 53–73. https:// doi. org/ 10. 1007/ s10533- 020- 00666-7 (2020).
7. Harwood, C. S. Iron-only and vanadium nitrogenases: Fail-safe enzymes or something more?. Annu. Rev. Microbiol. 74, 247–266
(2020).
8. Wedepohl, H. K. The composition of the continental crust. Geochim. Cosmochim. Acta 59, 1217–1232. https:// doi. org/ 10. 1016/
0016- 7037(95) 00038-2 (1995).
9. Bellenger, J.-P., Xu, Y., Zhang, X., Morel, F. M. M. & Kraepiel, A. M. L. Possible contribution of alternative nitrogenases to nitrogen
fixation by asymbiotic N2-fixing bacterial in soils. Soil Biol. Biochem. 69, 413–420 (2014).
10. Zhang, X., Sigman, D., Morel, F. & Kraepiel, A. Nitrogen isotope fractionation by alternative nitrogenases and past ocean anoxia.
Proc. Natl. Acad. Sci. 111, 4782–4787. https:// doi. org/ 10. 1073/ pnas. 14029 76111 (2014).
11. Soper, F. M., Simon, C. & Jauss, V. Measuring nitrogen fixation by the acetylene reduction assay (ARA): Is 3 the magic ratio?.
Biogeochemistry 152, 345–351. https:// doi. org/ 10. 1007/ s10533- 021- 00761-3 (2021).
12. Zhang, X. et al. Alternative nitrogenase activity in the environment and nitrogen cycle implications. Biogeochemistry 127, 189–198
(2016).
13. Darnajoux, R. et al. Molybdenum threshold for ecosystem scale alternative vanadium nitrogenase activity in boreal forests. Proc.
Natl. Acad. Sci. 116, 24682. https:// doi. org/ 10. 1073/ pnas. 19133 14116 (2019).
14. Dilworth, M. J., Eady, R. R., Robson, R. L. & Miller, R. W. Ethane formation from acetylene as a potential test for vanadium nitro-
genase in vivo. Nature 327, 167–168 (1987).
15. McRose, D., Zhang, X., Kraepiel, A. & Morel, F. Diversity and activity of alternative nitrogenases in sequenced genomes and coastal
environments. Front. Microbiol. https:// doi. org/ 10. 3389/ fmicb. 2017. 00267 (2017).
16. Darnajoux, R. et al. Biological nitrogen fixation by alternative nitrogenases in boreal cyanolichens: importance of molybdenum
availability and implications for current biological nitrogen fixation estimates. New Phytol. 213, 680–689. https:// doi. org/ 10. 1111/
nph. 14166 (2017).
17. Robson, R. L., Eady, R. R. & Richardson, T. H. The alternative nitrogenase of Azotobacter chroococcum is a vanadium enzyme.
Nature 322, 388–390 (1986).
18. Rousk, K., Degboe, J., Michelsen, A., Bradley, R. & Bellenger, J.-P. Molybdenum and phosphorus limitation of moss-associated
nitrogen fixation in boreal ecosystems. New Phytol. 214, 97–107. https:// doi. org/ 10. 1111/ nph. 14331 (2017).
19. Benoist, A., Houle, D., Bradley, R. & Bellenger, J.-P. Evaluation of biological nitrogen fixation in coarse woody debris from Eastern
Canadian boreal forests. Soil Biol. Biochem. 165, 108531–108531. https:// doi. org/ 10. 1016/j. soilb io. 2021. 108531 (2021).
20. Betancourt, D. A., Loveless, T. M., Brown, J. W. & Bishop, P. E. Characterization of diazotrophs containing Mo-independent
nitrogenases, isolated from diverse natural environments. Appl. Environ. Microbiol. 74, 3471–3480. https:// doi. org/ 10. 1128/ aem.
02694- 07 (2008).
21. Desai, M. S. & Brune, A. Bacteroidales ectosymbionts of gut flagellates shape the nitrogen-fixing community in dry-wood termites.
The ISME J. 6, 1302–1313. https:// doi. org/ 10. 1038/ ismej. 2011. 194 (2012).
22. Nelson, J. M. et al. Complete genomes of symbiotic cyanobacteria clarify the evolution of vanadium-nitrogenase. Genome Biol.
Evolut. 11, 1959–1964. https:// doi. org/ 10. 1093/ gbe/ evz137 (2019).
23. Hodkinson, B. P. et al. Lichen-symbiotic cyanobacteria associated with Peltigera have an alternative vanadium-dependent nitrogen
fixation system. Eur. J. Phycol. 49, 11–19. https:// doi. org/ 10. 1080/ 09670 262. 2013. 873143 (2014).
24. Villarreal, A. J. C., Renaudin, M., Beaulieu-Laliberté, A. & Bellenger, J.-P. Stigonema associated with boreal Stereocaulon possesses
the alternative vanadium nitrogenase. Lichenologist 53, 215–220. https:// doi. org/ 10. 1017/ S0024 28292 10000 62 (2021).
25. Rousk, K. & Rousk, J. The responses of moss-associated nitrogen fixation and belowground microbial community to chronic Mo
and P supplements in subarctic dry heaths. Plant Soil 451, 261–276. https:// doi. org/ 10. 1007/ s11104- 020- 04492-6 (2020).
26. Scott, D. L. et al. Anthropogenic deposition of heavy metals and phosphorus may reduce biological N2 fixation in boreal forest
mosses. Sci. Total Environ. 630, 203–210. https:// doi. org/ 10. 1016/j. scito tenv. 2018. 02. 192 (2018).
27. Horstmann, J. L., Denison, W. C. & Silvester, W. B. 15N2 fixation and molybdenum enhancement of ARA by Lobaria Spp. New
Phytol. 92, 235–241 (1982).
28. Barron, A. R. et al. Molybdenum limitation of asymbiotic nitrogen fixation in tropical forest soils. Nat. Geosci. 2, 42–45 (2009).
29. Wurzburger, N., Bellenger, J. P., Kraepiel, A. M. L. & Hedin, L. O. Molybdenum and Phosphorus Interact to Constrain Asymbiotic
Nitrogen Fixation in Tropical Forests. PLoS One 7, e33710. https:// doi. org/ 10. 1371/ journ al. pone. 00337 10 (2012).
30. Jean, M. E., Phalyvong, K., Forest-Drolet, J. & Bellenger, J.-P. Molybdenum and phosphorus limitation of asymbiotic nitrogen
fixation in forests of Eastern Canada: influence of vegetative cover and seasonal variability. Soil Biol. Biochem. 67, 140–146. https://
doi. org/ 10. 1016/j. soilb io. 2013. 08. 018 (2013).
31. Reed, S. C., Cleveland, C. C. & Townsend, A. R. Relationships among phosphorus, molybdenum and free-living nitrogen fixation
in tropical rain forests: results from observational and experimental analyses. Biogeochemistry 114, 135–147. https:// doi. org/ 10.
1007/ s10533- 013- 9835-3 (2013).
32. Dynarski, K. A. & Houlton, B. Z. Nutrient limitation of terrestrial free-living nitrogen fixation. New Phytol. 217, 1050–1061. https://
doi. org/ 10. 1111/ nph. 14905 (2018).
33. Stanton, D. E., Batterman, S. A., Von Fischer, J. C. & Hedin, L. O. Rapid nitrogen fixation by canopy microbiome in tropical forest
determined by both phosphorus and molybdenum. Ecology 100, 1–8. https:// doi. org/ 10. 1002/ ecy. 2795 (2019).
34. David, K. A. V., Apte, S. K., Banerji, A. & Thomas, J. Acetylene reducton assay for nitrogenase activity: gas chromatographic
determination of ethylene per sample in less than 1 min. Appl. Environ. Microbiol. 39, 1078–1080. https:// doi. org/ 10. 1128/ aem.
39.5. 1078- 1080. 1980 (1980).
35. Weigand, M. A., Foriel, J., Barnett, B., Oleynik, S. & Sigman, D. M. Updates to instrumentation and protocols for isotopic analysis
of nitrate by the denitrifier method. Rapid Commun. Mass Spectrom. 30, 1365–1383. https:// doi. org/ 10. 1002/ rcm. 7570 (2016).
36. Sigman, D. M. et al. A bacterial method for the nitrogen isotopic analysis of nitrate in seawater and freshwater. Anal. Chem. 73,
4145–4153. https:// doi. org/ 10. 1021/ ac010 088e (2001).
37. Casciotti, K. L., Sigman, D. M., Hastings, M. G., Böhlke, J. K. & Hilkert, A. Measurement of the oxygen isotopic composition of
nitrate in seawater and freshwater using the denitrifier method. Anal. Chem. 74, 4905–4912. https:// doi. org/ 10. 1021/ ac020 113w
(2002).
38. Carter, J. F. & Barwick, V. J. Good practice guide for isotope ratio Mass Spectrometry. (2011).
39. Paulsen, D. M., Paerl, H. W. & Bishop, P. E. Evidence that molybdenum-dependent nitrogen fixation is not limited by high sulfate
concentrations in marine environments. Limnol. Oceanogr. 36, 1325–1334 (1991).
40. Joerger, R. D., Jacobson, M. R., Premakumar, R., Wolfinger, E. D. & Bishop, P. E. Nucleotide sequence and mutational analysis of
the structural genes (anfHDGK) for the second alternative nitrogenase from Azotobacter vinelandii. J. Bacteriol. 171, 1075–1086.
https:// doi. org/ 10. 1128/ jb. 171.2. 1075- 1086. 1989 (1989).
41. Bellenger, J. P., Wichard, T., Xu, Y. & Kraepiel, A. M. L. Essential metals for nitrogen fixation in a free-living n2-fixing bacterium:
chelation, homeostasis and high use efficiency. Environ. Microbiol. 13, 1395–1411. https:// doi. org/ 10. 1111/j. 1462- 2920. 2011. 02440.x
(2011).
42. Hardy, R. W. F., Holsten, R. D., Jackson, E. K. & Burns, R. C. Acetylene-ethylene assay for N2 fixation - laboratory and field evalu-
ation. Plant Physiol. 43, 1185–1207. https:// doi. org/ 10. 1104/ Pp. 43.8. 1185 (1968).
43. Hayes, J. M. An introduction to isotopic calculations. 1–10 (2004).
Scientific Reports | (2022) 12:22011 |
https://doi.org/10.1038/s41598-022-24860-9
11
Vol.:(0123456789)www.nature.com/scientificreports/ 44. Joerger, R. D. et al. Nucleotide sequences and mutational analysis of the structural genes for nitrogenase 2 of Azotobacter vinelandii.
J. Bacteriol. 172, 3400–3408. https:// doi. org/ 10. 1128/ jb. 172.6. 3400- 3408. 1990 (1990).
45. Iqbal, N. et al. Ethylene role in plant growth, development and senescence: interaction with other phytohormones. Front. Plant
Sci. 8, 475–475. https:// doi. org/ 10. 3389/ fpls. 2017. 00475 (2017).
46. Wong, M. Y., Neill, C., Marino, R., Silvério, D. & Howarth, R. W. Molybdenum, phosphorus, and pH do not constrain nitrogen
fixation in a tropical forest in the southeastern Amazon. Ecology 102, e03211. https:// doi. org/ 10. 1002/ ecy. 3211 (2021).
47. Darnajoux, R., Constantin, J., Miadlikowska, J., Lutzoni, F. & Bellenger, J.-P. Is vanadium a biometal for boreal cyanolichens?. New
Phytol. 202, 765–771. https:// doi. org/ 10. 1111/ nph. 12777 (2014).
48. Kraepiel, A. M. L., Bellenger, J. P., Wichard, T. & Morel, F. M. M. Multiple roles of siderophores in free-living nitrogen-fixing
bacteria. Biometals 22, 573–581. https:// doi. org/ 10. 1007/ s10534- 009- 9222-7 (2009).
49. Jouogo Noumsi, C. et al. Effect of organic matter on nitrogenase metal cofactors homeostasis in Azotobacter vinelandii under
diazotrophic conditions. Environ. Microbiol. Rep. 8, 76–84. https:// doi. org/ 10. 1111/ 1758- 2229. 12353 (2016).
50. Hendrickson, O. Q. Implications of natural ethylene cycling processes for forest soil acetylene reduction assays. Can. J. Microbiol.
35, 713–718. https:// doi. org/ 10. 1139/ m89- 116 (1989).
Acknowledgements
We gratefully acknowledge funding support from the Watershed Institute (https:// thewa tersh ed. org), the Carbon
Mitigation Initiative (Princeton High Meadows Environmental Institute to XZ), the Tuttle Fund (Princeton Geo-
science Department to XZ), NSF EAR grant 1631814 (to XZ), and a Simons Foundation Life Science Research
Postdoctoral Fellowship (to RD). We thank collaborators at the Watershed institute, the Rutgers Pineland Field
Station, the Stony Ford Center for Ecological Studies at Princeton University, the Institute of Advanced Studies,
and the Dartmouth College-Mt. Moosilauke Advisory Committee for permission and access to field samples;
Katja Luxem and Linta Reji for help with field work, Anne Kraepiel, F. Morel, J.P. Bellenger, and all members of
the Zhang laboratory for discussions.
Author contributions
S.J.H., R.D., and X.Z. wrote the manuscript text. S.J.H. and R.D. prepared the figures. S.O. built the EPCon
instrument utilized in this study. S.H. led methodological development with contributions by R.D., S.O., and
X.Z., S.J.H., R.D., E.H., and E.Z. collected field samples and contributed to data acquisition. S.J.H., R.D, and
E.H. performed data analysis. X.Z. provided technical expertise, project guidance, and financial support. All
authors reviewed the manuscript.
Competing interests
The authors declare no competing interests.
Additional information
Supplementary Information The online version contains supplementary material available at https:// doi. org/
10. 1038/ s41598- 022- 24860-9.
Correspondence and requests for materials should be addressed to S.J.H. or X.Z.
Reprints and permissions information is available at www.nature.com/reprints.
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| null |
10.1371_journal.pone.0279220.pdf
| null |
All relevant data are within the manuscript and its Supporting Information files. All files are available from thefigshare database ( 10.6084/m9.figshare. 22578787 10.6084/m9.figshare.22578808 ).
|
RESEARCH ARTICLE
Do environmental, social, and governance
scores improve green innovation? Empirical
evidence from Chinese-listed companies
Chunlian Zhang1,2‡, Danni ChenID
3‡*
1 School of Economics and Trade, Nanchang Institute of Technology, Nanchang, Jiangxi, China, 2 The
Water Economy and Water Rights Research Center, Nanchang Institute of Technology, Nanchang, Jiangxi,
China, 3 School of Finance, Jiangxi University of Finance and Economics, Nanchang, China
‡ DC and CZ have contributed equally to this work and share first authorship.
* 2202121925@stu.jxufe.edu.cn
Abstract
Environmental, social, and governance (ESG) has become a buzzword in investment circles
as ecological damage and climate warming occur. ESG assessment is one of the important
institutions of the green financial system, which plays a significant part in boosting corporate
green development. We use the number of green patent applications and green patent cita-
tions to measure corporate green innovation and analyze the micro-green effects of the
ESG score system using the panel fixed effects models, which means that we explore the
impact of the ESG scores on corporate green innovation performance, the specific mecha-
nism of this effect, and the asymmetry of this impact under different moderation effects by
using Chinese listed A-shares in Shanghai and Shenzhen from 2010–2019 as our research
sample. We find that ESG positively affects corporate green innovation; the higher the ESG
evaluation, the more it improves firms’ green innovation performance. The promotion effect
is reflected quantitatively and qualitatively and remains valid after several robustness tests.
In addition, the contribution of ESG to corporate green innovation is achieved through two
main paths improving corporate investment efficiency and government-enterprise relations.
Corporate black attributes inhibit the contribution of ESG to green innovation, while green
attributes strengthen the contribution of ESG to green innovation performance. Our study
demonstrates the importance of corporate participation in environmental, social, and gover-
nance practices for corporate green innovation, which is beneficial for achieving win-win
environmental, social, and economic results. Furthermore, our research completes the
research on the effects of corporate green performance and green finance. It can provide
empirical references for promoting corporate green development and improving the ESG
evaluation system.
Introduction
Green innovation mainly emphasizes the sustainability of innovation, which describes novel
products, processes, and techniques that might minimize the dangers to the environment,
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OPEN ACCESS
Citation: Zhang C, Chen D (2023) Do
environmental, social, and governance scores
improve green innovation? Empirical evidence
from Chinese-listed companies. PLoS ONE 18(5):
e0279220. https://doi.org/10.1371/journal.
pone.0279220
Editor: Jose´ Antonio Clemente Almendros,
Universidad Internacional de La Rioja, SPAIN
Received: December 2, 2022
Accepted: May 3, 2023
Published: May 25, 2023
Peer Review History: PLOS recognizes the
benefits of transparency in the peer review
process; therefore, we enable the publication of
all of the content of peer review and author
responses alongside final, published articles. The
editorial history of this article is available here:
https://doi.org/10.1371/journal.pone.0279220
Copyright: © 2023 Zhang, Chen. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
Data Availability Statement: All relevant data are
within the manuscript and its Supporting
Information files. All files are available from
PLOS ONE | https://doi.org/10.1371/journal.pone.0279220 May 25, 2023
1 / 24
PLOS ONEthefigshare database (10.6084/m9.figshare.
22578787 10.6084/m9.figshare.22578808).
Funding: The authors acknowledge the financial
support from the project of the Water Economy
and Water Rights Research Center, a school-level
platform in Nanchang Institute of Technology: An
empirical study on the Microeconomics of ESG
performance under the ’Dual-carbon’ vision
(22ZXZD01). The funders had no role in study
design, data collection and analysis, decision to
publish, or preparation of the manuscript.
Competing interests: The authors have declared
that no competing interests exist.
Do Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
pollution, and resource consumption throughout their life cycles [1–3]. Moreover, green inno-
vation is an essential form for companies to practice the environmental, social, and governance
concepts and an important tool to drive the green transformation of enterprises [4]. Green
innovations for companies are low-carbon, energy efficient, and effective [5], but it also has
characteristics such as long-term riskiness, public goods, and positive environmental externali-
ties [6]. With the increasing economic globalization and industrialization, the natural world is
subject to significant adverse impacts. Environmental pollution problems are becoming more
prominent, severe climate problems are becoming more powerful, and green innovation may
be essential to reconcile the contradictions between man and nature [7, 8].
Several elements drive corporate green innovation performance, as businesses need to
maintain a competitive edge and increase corporate value. The literature has classified the fac-
tors influencing green innovation into four categories. The first is market factors, including
market pressure, green consumer demand, capital market opening, and environmental label-
ing certification [9–14]. Corporate green innovation will be aided by the news media and pub-
lic social supervision [15]. The second is environmental policy issues. Some studies have
indicated that these rules can encourage corporate green innovation [16]. Some studies have
discovered a link between environmental restrictions that first inhibit corporate green innova-
tion and later promote it [17, 18]. Others have discovered pilot policies of emissions trading
[19], low-carbon pilot policies [20, 21], emission permit systems [22], carbon emission trading
systems [23, 24], green credit policies [25–27], clean production audit (CPA) program [28]
and environmental information disclosure system [29–32] can stimulate enterprises to make
green innovation. The third is the political-enterprise relationship, which manifests as political
affiliation and government subsidies. Political affiliation inhibits firms’ green innovation, espe-
cially when the market degree is low [33]. And subsidies have a driving influence on corporate
green innovation performance. However, political affiliation encourages enterprises’ green
innovation by raising R&D spending and organizational capital [34, 35], but some studies
show no significant relationship between corporate subsidies and green innovation [36]. The
fourth is internal corporate factors, CEO responsible leadership [3], executive academic expe-
rience [37], sustainability goals [38], CSR performance [4], and internal controls of institu-
tional investors all contribute to encouraging green business innovation.
In a broad sense, environmental, social, and governance (ESG) can be seen as an extension
of corporate social responsibility because it uses the three criteria of environmental, social, and
internal governance to evaluate businesses [39], which reflects the degree of green transforma-
tion, and environmental image of enterprises [40]. ESG is also an ESG investment concept
pursued by investors and becomes an investment basket of ESG factors. Hence, the ESG con-
cept gradually becomes the consensus of global enterprises, investors, and financial institutions
[41, 42]. ESG is an essential indicator of corporate green development, which is gradually
incorporated into corporate development strategies [43, 44]. Current research has focused on
the link between ESG and company performance. Some argue that ESG is unrelated to corpo-
rate profitability, cost of capital, or ESG deteriorates corporate performance [45]. Other
researchers find that ESG scores can alleviate firms’ financing constraints and improve their
business performance [46–49]. In addition, better business stock returns with correspondingly
higher stock liquidity and a dampening effect on crash risk are linked to higher ESG ratings
[50, 51]. ESG ratings can help firms improve innovation performance and corporate value [52,
53]. However, other research believes ESG has a detrimental effect on corporate value [54].
Furthermore, a study found ESG investors in the Asia-Pacific region and the US perform simi-
larly to the market. ESG investments are more suitable for ’value-driven investors’ (VDI). It
also found that European investors will pay the price for making ESG investments, which is
not conducive to improving company performance [55].
PLOS ONE | https://doi.org/10.1371/journal.pone.0279220 May 25, 2023
2 / 24
PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
As market competition becomes increasingly fierce, green innovation capability is becom-
ing increasingly widely concerned by society. Companies’ protection and attention to the envi-
ronment have been strengthened by deepening their ESG practices. Although companies have
gradually paid attention to carrying out ESG practices and focus on the sustainable develop-
ment route of enterprises, there aren’t many studies about how the ESG performance of com-
panies affects corporate green innovation. A portion of the literature has focused solely on the
social responsibility component, contending that social responsibility institutions and perfor-
mance favorably influence the quantity and caliber of corporate green innovation [4, 56]. The
ESG performance of a firm is not well represented by the social responsibility perspective,
which is simply one component of that performance. Some scholars have pointed out the posi-
tive association of environmental, social, and governance practices on corporate green innova-
tion from three ESG dimensions. However, the sample is heterogeneous and covers different
research settings [57]. Even though there is research that specifically investigates the influence
of ESG on green innovation using ESG rating data for Chinese business channels [58], the
paper has the following shortcomings: On the one hand, their main regression using whether
firms receive ratings as a quasi-natural test is not very plausible because the sample includes
unrated firms and the financial and green performance of firms that receive ratings is naturally
higher than those of non-rated firms. Green innovation output and quality are correspond-
ingly higher. Hence their empirical models are highly endogenous and cannot be considered a
quasi-natural experiment, and the grouping method is not clean. On the other hand, they also
discuss the effect of ESG-specific ratings on firms’ green innovation, with a much smaller sam-
ple size than the stated DID regression, and the small difference in ratings does not reflect the
difference in the refinement of corporate ESG performance, which therefore does not support
their conclusions.
It is significant to recognize that ESG performance can influence corporate innovations,
specifically how it affects business performance, share price, and corporate value. Therefore, to
understand how ESG performance affects corporate innovation activities, business perfor-
mance, share price, and enterprise value, we must first understand how it affects those activities.
Understanding the impact of ESG scores on corporate green innovation activities, the specific
mechanisms, and the asymmetry of the impact in different circumstances is of utmost practical
importance in the context of environmental pollution and resource depletion to realize green
economic development and corporate green transformation. To empirically analyze the rela-
tionship between corporate ESG scores and corporate green innovation, as well as its role mech-
anism and moderating effect, we use the number of green patent applications and the number
of green patent citations to measure corporate green innovation, build an empirical model
using ESG scores from 2010 to 2019 and data on the quantity and quality of green innovation
from 2011 to 2020. We also make an empirical model with a sample of listed Chinese companies
in Shanghai and Shenzhen. Our findings confirm our research hypothesis by demonstrating a
favorable relationship between company ESG performance and green innovation.
Meanwhile, corporate ESG scores promote corporate green innovation activities mainly
through two paths: improving investment efficiency and improving political and business rela-
tions. In addition, the stronger the green attributes of firms, the stronger the ESG’s contribu-
tion to green innovation performance; the stronger the black attributes of firms, the weaker
the positive impact of ESG on green innovation performance. We use Bloomberg ESG Disclo-
sure Scores published by Bloomberg as a proxy variable for ESG for the following reasons. On
the one hand, the scores data is published by a non-Chinese organization. Thus, it is more
independent in evaluating the ESG of enterprises. On the other hand, the variable is score
data, which overcomes the original rating problems that are the non-refined and non-accurate
evaluation of the ESG of enterprises.
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PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
The main contributions of our study are as follows. Firstly, to overcome the lack of refine-
ment and precision of ESG performance measurement in previous studies [58], we use the
ESG score variables instead of the original ESG ratings. Secondly, we tested the effectiveness of
the ESG evaluation system from two perspectives of green innovation quantity and quality.
Existing studies on ESG only analyze from three perspectives of corporate performance, stock
price, and value ignoring the environmental and green attributes of ESG. Studies on green
innovation explore from a quantitative standpoint ignoring the quality of green innovation.
The ESG concept is better reflected in our study’s green innovation elements, and the green
innovation quality is better reflected in the quantitative indicators used to measure green inno-
vation. Thirdly, we examine the possible mechanisms of ESG influence on green innovation
and analyze the asymmetry of ESG influence on green innovation in terms of the green and
black markets.
The remainder of the paper is as follows. Section 2 introduces the relevant theoretical foun-
dations and then presents the relevant research hypotheses. Section 3 outlines the data selec-
tion and model design. Section 4 presents and analyzes the empirical results. Section 5
provides robustness tests. In Section 6, the final section, we conclude with a discussion.
Theory and hypotheses development
ESG and green innovation
Enterprises pay more attention to the relationship with corporate stakeholders, whether it is
the green innovation activities based on technology or market-oriented business models [59],
and put more emphasis on the creation of multiple integrated values based on innovation-led
economic, social, and environmental [9] which are all associated with the ESG performance.
Green innovation is a type of innovation where businesses try to use resources more efficiently
and use less energy, and employ cutting-edge techniques to accomplish the twin objectives of
economic and environmental performance [1]. Through green process product innovation [2,
60], businesses can reduce emissions and save energy. The advantages of companies’ environ-
mental, social, and governance practices favorably increase the intensity of green technology
innovation [57], so the impact of ESG on corporate green innovation is mainly reflected in the
following three aspects.
First of all, the environmental responsibility of enterprises contributes to the promotion of
green innovation activities. Businesses’ production and operation activities are under signifi-
cant pressure from the legal limits of environmental rules and the informal constraints of pub-
lic environmental expectations. Enterprises engage in environmental responsibility while
compelled to take steps to enhance their environmental performance to preserve a positive
environmental reputation. Consequently, for environmental performance, energy saving, and
emission reduction, enterprises must use green innovation technology to improve production
technology to achieve clean production. And financial institutions consider companies’ envi-
ronmental compliance when making investment and financing decisions. Therefore good
environmental performance can alleviate financing constraints by reducing the financing cost
of enterprises [61]. Furthermore, the environment is an essential external stakeholder for com-
panies, and active corporate environmental responsibility helps to promote environmental
cooperation. Companies are more likely to gain ideas about environmental management from
their partners, including suppliers, to drive responsible green innovation projects [62].
Second, corporate social responsibility will promote green innovation by improving the
relationship with stakeholders and providing them with the resources and information needed
for green innovation activities. According to the stakeholder theory, actively undertaking
social responsibility can assist companies in establishing broader and stronger relationships
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PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
with multiple stakeholders, such as customers, investors, regulators, and the public. These
stakeholders will support enterprises’ green innovation activities by increasing consumption
and investment [63]. Based on the resource-based theory, corporate social responsibility is
conducive to gaining the trust of stakeholders, including investors and consumers, and getting
the market and financial resources needed for green innovation. Companies increase their
green innovation investment, thus promoting green corporate innovation [30, 58]. According
to signaling theory, on the one hand, CSR has the "information effect" of alleviating informa-
tion asymmetry and principal-agent problems, thus providing information to help enterprises
make long-term decisions on green innovation activities, which enables them to obtain more
green patent outputs [64]. On the other hand, the active fulfillment of social responsibility can
send positive signals to the market about the good business performance of the company,
which indicates that the company is capable of participating in social responsibility activities
with its resources and helps to attract positive media attention and improve their reputation
and brand image [65, 66], and enterprises faceless media pressure to enhance their risk toler-
ance for innovation failure and stimulate their innovation energy, which in turn drives them
to conduct green innovation activities with high uncertainty [67, 68]. In addition, higher par-
ticipation in socially responsible activities enhances firms’ product market recognition [69]. As
green markets develop and consumer demand soars dramatically, firms are more willing to
engage in environmentally friendly green innovation activities to increase corporate value.
Third, the better the internal governance, the higher the performance of corporate green
innovation [70]. As green innovation activities have the characteristics of higher risk and lon-
ger cycle, enterprises do not tend to make innovation investment decisions, thus hindering
green innovation, but good corporate governance alleviates principal-agent conflicts through
incentive and constraint mechanisms, prompting corporate management to increase corpo-
rate R&D and innovation investment to achieve long-term sustainable corporate development
[71, 72]. In addition, better internal governance can improve corporate performance, thus pro-
viding continuous and stable financial support for long-term corporate green innovation activ-
ities by mobilizing internal and external resources. Furthermore, ESG can promote corporate
green innovation by optimizing corporate governance structures [73]. Gender diversity in the
board of directors and executive management promotes more ESG practices in firms [74].
Board diversity can help companies become green organizations by promoting corporate ESG
practices to stimulate green creativity, which drives companies to engage in green innovation
[75].
Otherwise, ESG can help businesses adopt the ideas of sustainable development and crea-
tive growth [76]. On the one hand, these ideas encourage companies to pursue energy conser-
vation, emission reduction, and clean production goals, as well as to increase their innovation
spending and adopt technology that reduces energy consumption and protects the environ-
ment [77] to apply in their production and operation processes. On the other hand, enterprises
with the guidance of green concepts invest their funds in green projects through green financ-
ing to achieve a pro-environmental and pro-climate transformation of internal capital flows or
make investment funds further greener to provide strong support for green activities, includ-
ing green innovation activities, which can encourage corporate innovation in green.
Accordingly, we obtained the research hypothesis:
H1: ESG is positively correlated with corporate green innovation.
Mechanism of investment efficiency
The ESG evaluation system provides information and resources to support corporate invest-
ment and forms constraints on corporate investment. In general, the higher the ESG score, the
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PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
better performance of the company, the better the relationship between the firm and its stake-
holders, and the more willing they are to provide information and resources to support the
firm. At the same time, the ESG score also imposes constraints on enterprises, or to sustain the
current score, enterprises have to make more green investments to maintain their corporate
image, and the relevant investments are by the policy call and public expectation, so ESG
enhances the efficiency of enterprises’ investment through both resource support and invest-
ment constraints. In addition, it has been shown that corporate social responsibility can reduce
agency costs and information asymmetry, so ESG firms have a low cost of equity [78]. The
higher the ESG score of a firm, the lower the cost of equity, which is conducive to further
enhancing the firm’s investment efficiency. The higher the investment efficiency, the lower the
inefficient investment, the closer to the optimal investment level, the more the resource utiliza-
tion rate is about sufficient, the more the innovation output, and the more the green innova-
tion output, that is, the more the green innovation patents obtained by the enterprise.
Therefore, the higher the ESG score, the more efficient the firm’s investment and green inno-
vation output. Accordingly, we propose the research hypothesis:
H2: ESG can promote corporate green innovation by promoting investment efficiency.
Mechanism of government-business relations
The higher the ESG score, the better the relationship between the company and its stakehold-
ers. In Asia, many government-backed investment funds inject large amounts of money into
ESG activities to reflect the importance of ESG practices for social development [79]. In China,
companies pay particular attention to their relationship with the government because a good
relationship with the government provides them with government support, such as govern-
ment subsidies and tax breaks, and facilitates their financing, production, and management by
obtaining government approval. In recent years, the local ecological environment has been
related to the performance of the local government. Government regulation, technology push,
and market pull are the three major influencing factors on carbon technology innovation
activities. Government regulation is the only factor positively influencing carbon technology
innovation activities [80]. The promotion of green technology innovation in China cannot be
achieved without the power of the government, and the connection between the government
and firms will impact enterprises’ green technology innovation activities. Therefore, the better
the ESG performance of a company, the more the government will support it, and conversely,
its development will be restricted by the government. Since green innovation is long-term and
risky [6], this greatly constrains the willingness and confidence of firms to make green innova-
tion decisions. However, firms that maintain a good relationship with the government can
gain more government support to share innovation risks and losses [34], encouraging firms to
engage in green innovation activities. In summary, ESG scores can improve the relationship
between government and firms, provide more resources for green innovation, and thus pro-
mote innovation. Therefore, we develop the following research hypothesis.
H3: ESG scores promote corporate green innovation through improving government-busi-
ness relations.
Moderation effect of green and black attributes
The ESG evaluation, one of the critical components of the green financial system, can contrib-
ute to green finance by promoting the effectiveness of financial resource allocation through
the green flow of funds, thereby addressing the issue of environmental externality. This system
primarily affects the financing of small and medium-sized businesses. And the companies
internal and external environmental variables impact the green micro effect of the ESG system.
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PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
The stronger the black attribute, the stronger the environmental information asymmetry, the
greater the environmental risk, and the more inclined enterprises are to make green bleaching
behavior to cover up the poor environmental performance, thus maintaining the false ESG
score and the external regulation will identify the green bleaching behavior of enterprises and
thus inhibit the role of ESG. Nevertheless, when green attributes are stronger, environmental
information asymmetry is smaller, and the environmental risks faced by firms are reduced,
prompting ESG scores to be more objective to the ESG performance of firms, thus making full
utilization of the green micro effects of the ESG system.
In summary, we obtain the following research hypotheses. As a green attribute of a com-
pany, an increase in environmental disclosure is conducive to promoting corporate ESG prac-
tices. Such environmental and ethical practices can promote the legitimization of corporate
activities, improve corporate image and thus increase corporate financial performance [81].
Companies increase their investment in green technology innovation and enhance their inno-
vation capabilities.
H4: Black attributes can weaken the positive effect of ESG scores on the green innovation of
firms, and green attributes can enhance the promotion effect of ESG scores on the green inno-
vation of a company.
Methodology
Sample and data
The sample of this study is a research sample of Chinese listed businesses in Shanghai and
Shenzhen A-shares from 2010–2019 to analyze the impact of ESG on corporate green innova-
tion performance. We conduct the following treatment for the sample: firstly, we remove the
samples that were ST, PT, and *ST; secondly, we remove listed companies in the financial sec-
tor; thirdly, we remove companies listed before 2010; fourthly, we remove the samples with
missing main variables. After processing, we finally obtained 8258 annual observations of 1090
listed companies. We use a 1% and 99% tail reduction (Winsorize) for the primary variables.
The data green on patents is from the China Research Data Service Platform. The data
(CNRDS) on corporate finance is from the CSMAR and Wind databases, data on environmen-
tal disclosure from social responsibility reports published by Hexun.com, data on corporate
ESG scores are from Bloomberg’s Corporate Social Responsibility Disclosure Index (Bloom-
berg ESG Disclosure Scores), regional environmental data and economic data are from pro-
vincial statistical yearbooks, and macroeconomic data are from CEINet.
We declare that we have no human participants, human data, or human issues. We do not
have any individual person’s data in any form.
Variables
Explained variable. The explanatory variables in this paper are corporate green innova-
tion. We define firms’ green innovation performance as quantitative and qualitative to obtain
two explanatory variables for the number of green innovations (GI) and green patent citations
(GC). The green patent is the most widely selected indicator to measure the green innovation
ability of enterprises. The number of green patents granted reflects an enterprise’s green inno-
vation level more than the number of green patent applications, so we add one to the number
of green patents granted and take the logarithm to measure the quantity of green innovation
(GI) of enterprises. For the quality of green innovation, most existing scholars choose to mea-
sure the number of green invention patents and the number of green patents cited, among
which the number of patents cited is more convincing than the invention patents [58], so in
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PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
this paper, we choose the number of green patents cited plus one and take the natural loga-
rithm to measure the quality of green innovation (GC) of enterprises.
Explanatory variable. The core explanatory variable in this paper is the ESG score of
firms. The ESG data is derived from the Bloomberg ESG Disclosure Scores, which consists of
the ESG composite score and the ESG sub-scores with 122 sub-scores on 21 topics in three
major categories.
Intermediary variables.
(1) Efficacy of investments comes first (IE). We utilize the absolute value of the residuals from
the subsequent regression to measure inefficient investment as Model (1) [82]. The larger the
indicator, the less efficient the firm’s investment.
CIi;t ¼ b0 þ b1SGi;t(cid:0) 1 þ εi;t
ð1Þ
In Model (1), CIi,t represents the investment level of an enterprise, which is the proportion of
fixed and intangible assets to total assets. ESGi,t represents the investment opportunity of an
enterprise, which is the growth rate of sales revenue. The residual term represents the propor-
tion of inefficient investment in the total investment, and the absolute value is taken to obtain
the investment efficiency index IE. The larger the value, the less efficient the investment.
(2) Government subsidies (Subsidy). We use the normalized government subsidy (Subsidy) as a
proxy variable for the government-enterprise relationship, which reflects the characteristics
of the sample. The larger value indicates that means, the more government subsidy a firm
receives, the better the relationship between the firm and the government
Control variables. By previous studies [4, 15, 56, 83], we take into account variables such
as the firm’s age (year of foundation), gearing (leverage), return on total assets (ROA), and
Tobin’s Q. (Q), net cash from investing activities (ICF), fixed assets (Fix), foreign ownership
(QFII), dual employment (Dual), and audit opinion (Opinion). The key variables used in the
empirical analysis are shown in Table 1.
Model
Baseline model. Our data are short panel data, so a baseline regression model can repre-
sent the significant relationship between the independent variable ESG score and the depen-
dent variable green innovation level. We use this model to control for year-fixed, industry-
fixed, and province-fixed effects to control for the effect of unobservable factors at the industry
and province levels overtime on the relationship between ESG score firms and green innova-
tion level, and to city-level clustering. In addition, we can use the model to further examine the
mechanisms and moderators of ESG scores affecting firms’ green innovation. Based on the
prior analysis and variable definitions, we use Model (2) for testing hypothesis H1.
GIi;tþ1 ¼ a0 þ a1ESGi;t þ gXi;t þ lt þ Zj þ εi;t
ð2Þ
Where GIi,t+1 repents the firm i’s level of green innovation in year t+1, ESGi,t denotes the
firm i’s Bloomberg ESG score in that year, Xi,t suggests a series of control variables, λt denotes
time fixed effects, ηj denotes industry fixed effects; and εi,t represents the random disturbance
term.
Intermediation model. To test H2 and H3, the mediating effects of investment efficiency
(IE) and government-enterprise relationship (Subsidy), this paper further sets up the following
mediation model and sets up the following testing steps [84, 85]. First, Model (1) shows the
results of the regression model of corporate green innovation on ESG score. If β1 is significant,
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PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
Table 1. Descriptive statistics of the variables.
Variable classification
Variable name
Variable symbol
Variable definition
Explained variables
Quantity of Green Innovation
Quality of Green Innovation
Core explanatory
variables
ESG Score
Intermediate variables
Investment efficiency
Control variables
Years of Establishment
Government Grants
Gearing Ratio
Total Return on Assets
Tobin’s Q
Net cash from investing
activities
Fixed Assets
Foreign equity holdings
Two positions in one
GIt+1
GCIt+1
ESG
IE
Subsidy
Age
Leverage
ROA
Q
ICF
Fix
QFII
Dual
The logarithm of the number of green patents granted plus one to take the
logarithm
The logarithm of the number of green patent citations plus one to take the
logarithm
The logarithm of Bloomberg ESG
Estimated from the Model (1)
Normalized government grants
Ln(year—year of establishment)
Total liabilities/total assets
Total profit/total assets
Total market capitalization/total assets
Net cash from investing activities/total assets
Fixed Assets/Total Assets
Foreign shareholding ratio
The value is 1 if the chairman is also the general manager; otherwise, it is 0
https://doi.org/10.1371/journal.pone.0279220.t001
Audit opinion
Opinion
The standard unqualified opinion takes the value of 1; otherwise, it is 0
the second step is carried out. Second, the regression equation of ESG score and mediating
variables (IE and Subsidy) on corporate green innovation is constructed. The mediating mech-
anism exists if μ2 is significant and the signs of μ2 and β1 are the same.
IEi;t=Subsidyi;t ¼ b0 þ b1ESGi;t þ gXi;t þ lt þ Zj þ εi;t
GIi;tþ1 ¼ m0 þ m1ESGi;t þ m2IEi;t=Subsidyi;t þ gXi;t þ lt þ Zj þ εi;t
ð3Þ
ð4Þ
Where IEi,t, and Subsidyi,t represent the investment efficiency and government subsidies,
respectively, and the rest of the variables are consistent with the baseline model.
Moderating effect model. To test H4, the moderating effect of the environmental attri-
butes of firms, the following regression Model(5) was set up based on the baseline model.
GIi;tþ1 ¼ a0 þ a1ESGi;t þ a2ESGi;t � Rit þ gXi;t þ lt þ Zj þ εi;t
ð5Þ
Where R consists of the black and green attributes of the company. Black attributes include
regional, industry, and company pollution attributes. We use the high pollution region
dummy variable HPP (The regional pollution index for the current year takes a value of 1 if it
is higher than the average value, and 0 otherwise.), the high pollution industry dummy variable
HPI (high pollution industry takes a value of 1 otherwise it takes a value of 0) and the high pol-
lution company dummy variable HPC (If the enterprise is a key pollution monitoring unit
take the value of 1, otherwise it takes the value of 0) separately to measure black attributes.
Green attributes include provincial, city, and firm environmental attributes. We employ pro-
vincial green finance DGF (normalized green finance index), city green innovation DGI (ratio
of the total number of green patents in the city to the current year’s average), and corporate
environmental disclosure (the number of quantitative disclosures of environmental liability
items as a proportion of the total number of items) as green attributes. And the remaining var-
iables are consistent with Model 2.
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PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
Table 2. Descriptive statistics of the main variables.
Variables
GIt+1
GCt+1
ESG
E
S
G
Age
Leverage
ROA
Q
ICF
Fix
QFII
Dual
Opinion
N
8258
8258
8258
6950
8035
8258
8258
8258
8258
8258
8258
8258
8258
8258
8258
Mean
S. D.
0.25
0.41
2.97
2.16
3.07
3.80
2.87
0.47
7.29
1.90
-0.06
0.23
0.17
0.20
0.99
0.62
0.92
0.31
0.67
0.41
0.11
0.32
0.20
6.17
1.24
0.08
0.18
0.54
0.40
0.12
Max
2.48
4.56
3.77
3.72
4.03
4.05
3.53
0.89
36.44
8.78
0.17
0.70
2.79
1.00
1.00
Median
0.00
0.00
2.99
2.23
3.13
3.80
2.89
0.48
5.95
1.48
-0.05
0.19
0.00
0.00
1.00
Min
0.00
0.00
2.21
0.73
1.95
3.52
1.61
0.05
-8.26
0.88
-0.39
0.00
0.00
0.00
0.00
https://doi.org/10.1371/journal.pone.0279220.t002
Descriptive statistics. The results of the descriptive statistics for the primary variables are
shown in Table 2, where the mean value of green patents (GI) is 0.25, the standard deviation is
0.62, the maximum value is 0.48, and the minimum value is 0. This data suggests that the sam-
ple enterprises’ average level of green innovation is low and that there is significant enterprise-
level variation in their capacity for green innovation. ESG scores (ESG) vary significantly
among businesses; the mean value is 2.97, the standard deviation is 0.31, the maximum is 3.77,
the minimum is 2.21, and the median value is 2.99.
Correlation test. The Pearson correlation coefficient test matrix is displayed in Table 3.
We can infer from Table 3 that there is a significant positive association between ESG score
and corporate green innovation, which supports H1 preliminarily.
Panel unit root test. The existence of unit roots in panel data can have serious conse-
quences, such as pseudo-regression, so we use both the Im-Pesaran-Shin test and Levin-Lin-
Chu test to perform unit root tests to ensure the smoothness of each variable. Table 4 shows
the results of the panel unit root tests. It can be seen that all variables are stationary at the 1%
level, which means no unit root exists in the series. The results strongly reject the null
Table 3. Pearson correlation coefficient test.
GIt+1
1.000
0.513***
0.118***
0.110***
0.101***
0.028***
GCt+1
1.000
0.200***
0.182***
0.154***
0.098***
ESG
E
S
G
1.000
0.833***
0.820***
0.514***
1.000
0.508***
0.260***
1.000
0.306***
1.000
GIt+1
GCt+1
ESG
E
S
G
Note
***p < 0.01
**p < 0.05
*p < 0.1.
https://doi.org/10.1371/journal.pone.0279220.t003
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PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
Table 4. Panel unit root test.
Variables
GIt+1
GCt+1
ESG
Age
Leverage
ROA
Q
ICF
Fix
QFII
Dual
Opinion
Im-Pesaran-Shin test
Levin-Lin-Chu test
t-bar
-1.814
-1.898
-1.657
-2.509
-1.850
-2.044
-1.838
-2.033
-1.984
-6.425
-4.737
-1.988
W[t-bar]
-6.819
-8.581
-3.540
-21.349
-7.574
-11.631
-7.325
-11.404
-10.378
-103.261
-67.945
-10.455
P-value
0.000***
0.000***
0.000***
0.000***
0.000***
0.000***
0.000***
0.000***
0.000***
0.000***
0.000***
0.000***
t-value
-49.167
-47.758
-45.468
-71.791
-56.996
-57.075
-55.392
-50.308
-57.179
-161.793
-391.658
-283.569
t-star
-9.414
-37.025
-24.492
-65.239
-44.343
-38.191
-33.445
-28.543
-41.668
-164.627
-415.238
-300.026
P-value
0.000***
0.000***
0.000***
0.000***
0.000***
0.000***
0.000***
0.000***
0.000***
0.000***
0.000***
0.000***
https://doi.org/10.1371/journal.pone.0279220.t004
hypothesis of unit root, so we can argue that the data are stable and there is no biased informa-
tion in the panel.
Empirical results and analysis
Baseline regression
The ESG benchmark regression results are shown in Table 5. The explanatory variables in col-
umns (1)-(4) are the quantity of green innovation. In column (1), the coefficient of ESG on the
number of green innovation patents is 0.300, which is significant at the 1% level, indicating
that ESG can increase the number of green innovation patents for companies. Based on the
three sub-items of the ESG evaluation, we replace ESG with the natural logarithm of the corre-
sponding scores for Environmental E, Social S, and Corporate Governance G. In column (2)-
(4), the coefficient estimates of E and S are significantly positive at the 1% level, and the coeffi-
cient estimates of G is significantly positive at the 10% level, indicating that E, S, and G scores
all promote the level of green innovation in companies. The explanatory variables in columns
(5)-(8) are the quality of green innovation. In column (5), the regression coefficient of ESG is
0.610, which is significant at the 1% level, which suggests that ESG encourages business cita-
tion of green innovation patents. In columns (6)-(8), E, S, and G coefficient estimates are all
significantly positive at the 1% level. The coefficient values are increasing in order, demon-
strating that the positive effects of E, S, and G on the quality of green patents are in the order of
G, S, E. The result above indicates that E, S, and G scores all promote the quality of green inno-
vation in companies.
The regression results show that the amount and quality of green innovation output
increase with increasing ESG score, supporting H1. In addition, our regression results indicate
that all three subcategories of ESG can promote the quantity and quality of green innovation
in enterprises. For the subscores of corporate ESG scores, we find that the E score has the most
significant impact on corporate green innovation, and the G score has the least significant
impact on corporate green innovation. Still, overall, the subscores of ESG all drive the quantity
and quality of corporate green innovation. The descriptive statistics of the remaining control
variables are generally consistent with existing studies [35, 55, 58].
The results illustrate that ESG scores can increase the quantity and quality of green innova-
tion and that ESG is a sustainable "substantive innovation" rather than a "masked innovation"
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PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
Table 5. Baseline regression results.
Variables
ESG
E
S
G
Age
Leverage
ROA
Q
ICF
Fix
QFII
Dual
Opinion
Constant
Y/I/P FE
Observations
Adj R2
(1)
GI_1
0.300***
(7.04)
-0.193**
(-2.09)
0.183**
(2.35)
0.002
(0.89)
-0.028**
(-2.30)
-0.079
(-0.63)
-0.035
(-0.26)
0.026
(0.83)
0.041
(1.16)
0.081*
(1.80)
-0.128
(-0.40)
YES
8,258
0.114
(2)
GI_1
(3)
GI_1
(4)
GI_1
0.123***
(6.68)
-0.194**
(-2.00)
0.198**
(1.98)
0.002
(0.95)
-0.037***
(-2.62)
-0.125
(-0.78)
-0.069
(-0.49)
0.034
(1.08)
0.047
(1.26)
0.087
(1.61)
0.498
(1.63)
YES
6,950
0.120
0.167***
(5.75)
-0.195**
(-2.11)
0.201***
(2.66)
0.003
(1.22)
-0.032***
(-2.72)
-0.063
(-0.48)
0.018
(0.13)
0.029
(0.91)
0.035
(1.03)
0.079*
(1.76)
0.231
(0.73)
YES
8,035
0.107
0.312*
(1.75)
-0.203**
(-2.27)
0.209***
(2.83)
0.003
(1.17)
-0.034***
(-2.86)
-0.066
(-0.50)
0.035
(0.25)
0.029
(0.90)
0.029
(0.76)
0.102**
(2.19)
-0.446
(-0.55)
YES
8,258
0.0975
Note: T-statistics calculated for city-level clusters in parentheses.
https://doi.org/10.1371/journal.pone.0279220.t005
(5)
GC_1
0.610***
(7.32)
-0.223
(-1.33)
0.334**
(2.16)
-0.006*
(-1.78)
0.012
(0.68)
-0.440*
(-1.86)
-0.387***
(-2.74)
0.032
(0.75)
0.096
(1.27)
-0.123
(-1.18)
-0.712
(-1.28)
YES
8,258
0.0993
(6)
GC_1
(7)
GC_1
(8)
GC_1
0.267***
(6.87)
-0.217
(-1.12)
0.390**
(2.01)
-0.007*
(-1.87)
-0.006
(-0.28)
-0.590**
(-1.99)
-0.478***
(-2.91)
0.044
(0.98)
0.103
(1.25)
-0.080
(-0.68)
0.373
(0.66)
YES
6,950
0.0997
0.322***
(6.39)
-0.226
(-1.34)
0.379**
(2.56)
-0.005
(-1.54)
0.004
(0.24)
-0.411*
(-1.67)
-0.290*
(-1.92)
0.042
(0.95)
0.077
(1.04)
-0.122
(-1.14)
0.017
(0.03)
YES
8,035
0.0830
0.981***
(3.11)
-0.249
(-1.52)
0.367**
(2.40)
-0.006
(-1.55)
0.003
(0.16)
-0.424*
(-1.71)
-0.260*
(-1.74)
0.038
(0.86)
0.076
(0.96)
-0.087
(-0.78)
-2.645*
(-1.80)
YES
8,258
0.0754
to simply whitewash financial statements. It is worth mentioning that the G score affects the
number of green innovations less significantly than the E and S scores, probably because green
innovation projects crowd out the firm’s inherent resources and conflict with its short-term
financial performance. We also find that when the explanatory variable is replaced with the
number of green patents cited, all three aspects of ESG significantly improve the quality of
green innovation at the 1% level. The coefficient of the G score is the largest. This result indi-
cates that executives value the strategic perspective of the company’s long-term development
and choose to make high-quality green innovations to improve the company’s competitive-
ness, so companies with good green strategies significantly improve the quality of green
innovation.
Our results affirm the positive significance of ESG practices for green innovation, which
positively affect companies’ green transformation. The results also demonstrate the critical
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PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
role of the ESG scores of companies in influencing their green innovation decisions and that
favorable practices in environmental, social, and governance aspects of companies will jointly
promote corporate green innovation, achieve a sustainable development path for enterprises,
and promote the integration of environmental, social and economic effects of enterprises.
Intermediary mechanism analysis
Mechanism of investment efficiency. The regression results for the mediating influence
of investment efficiency are shown in columns (1)-(3) of Table 5. The coefficient estimate of
ESG in column (1) is -3.183 and significantly negative at the 1% level, which means businesses
with higher ESG scores make better investors. The coefficient estimates of IEt+1 in columns (2)
and (3) are -0.003 and -0.005, respectively, and are statistically negative at the 5% level, indicat-
ing the existence of this mediating effect and the relationship between investment efficiency
and green innovation performance, At the 1% level, both of the coefficient estimates of ESG in
columns (2) and (3)—0.291 and 0.594, respectively—are significantly positive. Both columns
(2) and (3) coefficient values of ESG 0.291 and 0.594, respectively—are statistically significant
at the 1% level. The regression results suggest that ESG performance contributes to green inno-
vation by improving firms’ investment efficiency. As a result, H3 should be accepted.
The results suggest that the fulfillment of ESG responsibilities will drive companies to make
green investments to cater to investors’ preference for environmentally friendly companies
and that ESG practices are conducive to improving the efficiency of investments and the utili-
zation of internal and external resources, which in turn will make companies willing to engage
in more green innovation activities and improve their green technological innovation
capabilities.
Mechanism of government-business relations. Columns (4) to (6) of Table 6 show the
regression results for the mediating effect of the government-firm relationship. The coefficient
estimate of ESG in column (4) is 0.027 and significantly positive at the 1% level, indicating that
the higher the ESG score, the more government subsidies the firm receives. In other words,
the ESG score significantly improves the relationship between the government and the firm;
the coefficient estimates of Subsidy in columns (5) and (6) are respectively 0.2289 and 5.407,
and both are positive at the 1% level, which means that government subsidies significantly pro-
mote green innovation, so the better the relationship with the government, the more govern-
ment subsidies the enterprises receive, and the more funds they have to engage in green
Table 6. Regression results for mediating mechanisms.
(1)
IEt+1
-3.184***
(-4.65)
Variables
ESG
IEt+1
Subsidy
Constant
13.907***
Controls
Y/I/P FE
Observations
Adj R2
(3.50)
YES
YES
8,258
0.082
https://doi.org/10.1371/journal.pone.0279220.t006
(2)
GIt+1
0.291***
(7.16)
-0.003**
(-2.53)
-0.109
(-0.34)
YES
YES
8,258
0.139
(3)
GCt+1
0.594***
(7.33)
-0.005**
(-2.38)
-0.673
(-1.25)
YES
YES
8,258
0.163
(4)
Subsidy
0.027***
(3.23)
-0.036*
(-1.69)
YES
YES
8,258
0.252
(5)
GIt+1
0.239***
(5.14)
2.289***
(10.80)
-0.065
(-0.21)
YES
YES
8,258
0.115
(6)
GCt+1
0.465***
(5.50)
5.407***
(7.58)
-0.541
(-1.04)
YES
YES
8,258
0.101
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PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
innovation behavior. Thus this mediating effect exists. The coefficient value decreases com-
pared to the baseline regression. Therefore the mediation effect is partial. The above regression
results suggest that ESG performance promotes corporate green innovation by improving the
relationship between government and business, which supports hypothesis H2.
The results indicate the important role of government-business relationships in mediating
the impact of ESG performance on corporate green innovation. The government encourages
and supports ESG practice projects, so companies that participate in ESG practice projects can
build a good corporate image, maintain good relations with the government, and gain political
resources, including government subsidies and the economic resources they bring. These com-
petitive resources can be regarded as a kind of external risk protection, which can reduce the
cost of green innovation and reduce the risk of R&D, and enhance the motivation of enter-
prises to invest in green innovation projects.
Moderation effects analysis
The regression results of Panel A in Table 7 show that the interaction coefficients of ESG with
HPP, HPI, and HPC decrease in significance and coefficient values compared with the esti-
mated values of the baseline regression ESG, which indicates that the stronger the black attri-
butes of the firm, the weaker the promotion effect of ESG on green innovation. The regression
Table 7. Regression results for moderating effects of black and green attributes.
Variables
ESG×HPP
ESG×HPI
ESG×HPC
Constant
Controls
Y/I/P FE
Observations
Adj R2
ESG×DGF
ESG×CGI
ESG×EDG
Constant
Controls
Y/I/P FE
Observations
Adj R2
(1)
GIt+1
0.026
(1.40)
0.693**
(2.40)
YES
YES
8,258
0.095
0.386***
(3.99)
-0.469*
(-1.66)
YES
YES
8,258
0.104
https://doi.org/10.1371/journal.pone.0279220.t007
(2)
GCt+1
0.101**
(2.54)
0.977**
(1.99)
YES
YES
8,258
0.068
0.826***
(3.83)
-1.521***
(-2.64)
YES
YES
8,258
0.083
(3)
GIt+1
Panel A: Black Features
0.015*
(1.78)
0.677**
(2.31)
YES
YES
8,258
0.096
Panel B: Green Features
0.572*
(1.93)
0.820**
(2.58)
YES
YES
5,439
0.127
(4)
GCt+1
0.038**
(2.24)
0.930*
(1.86)
YES
YES
8,258
0.068
1.306**
(2.48)
1.042**
(2.13)
YES
YES
5,439
0.125
(5)
GIt+1
(6)
GCt+1
0.011
(1.43)
0.698**
(2.38)
YES
YES
8,258
0.095
0.856***
(4.80)
0.673**
(2.34)
YES
YES
8,258
0.010
0.067***
(4.14)
1.024**
(2.05)
YES
YES
8,258
0.072
1.360***
(4.31)
0.933*
(1.91)
YES
YES
8,258
0.071
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PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
results of Panel B show that the coefficient values of ESG and DGF, CGI, and EDG are all signif-
icant at the 1% level and are greater than the baseline regression coefficient values, which sug-
gests that the stronger the green attributes of firms, the greater the positive impact of ESG on
green innovation.
The results demonstrate the opposed effects of corporate green and black attributes on the
relationship between ESG scores and corporate green innovation. At the black attribute level,
the sample, whether a highly polluting industry or a highly polluting firm, exacerbates environ-
mental information asymmetry and exposes firms to higher environmental risks. Firms will
mask the inherent risks through green bleaching practices. Thus ESG scores are more biased
towards a false reflection of ESG performance and will weaken the positive effect of ESG scores
on green innovation. At the level of green attributes, whether at the province, city, or firm
level, green attributes can reduce environmental information asymmetry, make ESG scores
more realistic and reliable reflections of firms’ true ESG performance, and enhance the effec-
tiveness of ESG scores in promoting corporate green innovation. The government should
increase the punishment for polluting enterprises, increase the cost of polluting enterprises
through environmental regulation pressure, and consciously promote the transformation of
enterprises from black attributes to green attributes. And enterprises should increase the dis-
closure of environmental information to reduce the uncertainty of environmental information
and enhance their green attributes, and at the same time, reduce emissions and environmental
pollution by improving production processes and greening production to reduce their black
attributes, to better utilize the positive effect of ESG performance on green innovation.
Robustness tests
Replacing measures of core variables
In the robustness test section, we use the number of green patent applications to measure the
quantity of green innovation of the firm (GGI_1) and the number of green invention patents
to measure the quality of green innovation of the firm (INNO_1). Table 8 reports the regres-
sion results for replacing the core variable measures. The results are consistent with the bench-
mark regression, where both the composite corporate ESG score and sub-scores contribute to
the quantity and quality of corporate green innovation.
Table 8. Regression results for replacing core variables.
Variables
ESG
E
S
G
Constant
Controls
Y/I/P FE
Observations
Adj R2
(1)
GGI_1
0.389***
(6.02)
-1.058***
(-3.25)
YES
YES
6,891
0.165
(2)
GGI_1
(3)
GGI_1
(4)
GGI_1
0.186***
(6.28)
-0.345
(-1.06)
YES
YES
5,724
0.169
0.187***
(4.16)
-0.530
(-1.59)
YES
YES
6,675
0.153
0.326*
(1.82)
-1.179
(-1.45)
YES
YES
6,891
0.150
https://doi.org/10.1371/journal.pone.0279220.t008
(5)
INNO_1
0.264***
(5.48)
-0.143
(-0.42)
YES
YES
8,258
0.0741
(6)
(7)
(8)
INNO_1
INNO_1
INNO_1
0.122***
(4.76)
0.368
(1.29)
YES
YES
6,950
0.0803
0.153***
(4.40)
0.158
(0.49)
YES
YES
8,035
0.0682
0.472**
(2.26)
-1.154
(-1.19)
YES
YES
8,258
0.0616
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PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
Fig 1. Placebo test.
https://doi.org/10.1371/journal.pone.0279220.g001
Placebo test
We used a non-parametric permutation test to perform a placebo test on the baseline regres-
sion. The placebo test is illustrated in Fig 1. We find that from the test results that the distribu-
tion of the estimated coefficients for the 500 random samples is close to a normal distribution
with mean zero and that the coefficients of the benchmark regressions for GIt+1 and GCt+1
green innovation indicated by the dashed lines in the figure, Table 5 columns (3) and (6) are dif-
ferent from the correlation coefficients obtained from the non-parametric tests. Therefore, the
test results exclude the possibility that the effect of ESG on green innovation performance is
dependent on other unobservable factors. In other words, the interference of other events in the
benchmark regression is excluded, and the obtained benchmark regression results are robust.
Adding variables
We next control provincial and national level economic variables that may affect firms’ green
innovation based on the baseline regression column (1) to verify the robustness of the baseline
regression results. We specifically introduce regional per capita gross product (PerGDP, the
logarithm of regional per capita gross product), regional financial development level (FD,
regional deposit and loan as a share of GNP), regional pollution level (DPG, industrial pollu-
tion investment as a share of GNP), broad money growth rate (M2), and Shanghai interbank
lending rate (Shibor, the annual 10-year Shanghai interbank lending average interest rate) to
control for regional economic, environmental and macroeconomic effects on the benchmark
regressions. Table 9 shows the results of the regressions with the addition of control variables.
From the regression results, the coefficient estimates for ESG are all significantly positive at the
1% level. The regression results are generally consistent with the benchmark regression, which
means the robustness of the benchmark regression.
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PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
Table 9. Regression results for adding control variables.
Variables
ESG
FD
DPG
M2
Shibor
Constant
Controls
Y/I/P FE
Observations
Adj R2
(1)
GIt+1
0.301***
(7.10)
0.002
(1.07)
-0.208**
(-2.56)
-5.300***
(-2.73)
YES
YES
8,258
0.114
(2)
GIt+1
0.301***
(7.10)
0.002
(1.07)
-0.208**
(-2.56)
0.288***
(5.05)
1.043***
(4.90)
-10.082***
(-3.48)
YES
YES
8,258
0.114
(3)
GCt+1
0.609***
(7.33)
-0.002
(-1.21)
0.089
(0.59)
-0.341
(-0.13)
YES
YES
8,258
0.074
(4)
GCt+1
0.609***
(7.33)
-0.002
(-1.21)
0.089
(0.59)
-0.142*
(-1.72)
-0.476
(-1.55)
1.829
(0.46)
YES
YES
8,258
0.074
https://doi.org/10.1371/journal.pone.0279220.t009
Replacement regression models
GIt+1 and GCt+1 are discrete variables suitable for Poisson, Tobin, and Negative Binomial
regression models. Table 10 shows the results of the substitution regression model. From the
regression results, the coefficient estimates of ESG are all significantly positive at the 1% level.
The regression results are generally consistent with the baseline regression, which suggests the
robustness of the baseline regression.
Instrumental variables approach
Using green innovation indicators for period t+1 avoids the problems associated with certain
simultaneity biases while reducing the estimation error associated with reverse causality issues.
However, the relationship between ESG and green innovation is still strongly endogenous,
which means that firms with higher green innovation performance also have higher ESG
scores. There may also be omitted variables that affect ESG scores. At the same time, there is
Table 10. Regression results of the replacement model.
Variables
ESG
Constant
Controls
Y/I/P FE
Observations
Loglikelihood
Pseudo R2
(1)
Poisson
1.181***
(8.24)
-4.124***
(-3.71)
YES
YES
8,258
-4437
0.186
https://doi.org/10.1371/journal.pone.0279220.t010
(2)
GIt+1
Tobit
0.300***
(7.10)
-0.148
(-0.46)
YES
YES
8,258
-7176
0.068
(3)
NB
1.169***
(7.35)
-3.901***
(-3.41)
YES
YES
8,258
-4338
0.147
(4)
Poisson
1.376***
(9.37)
-4.029***
(-3.72)
YES
YES
8,258
-6926
0.118
(5)
Tobit
GCt+1
0.609***
(7.36)
-0.737
(-1.33)
YES
YES
8,258
-10599
0.042
(6)
NB
1.378***
(8.08)
-3.857***
(-3.43)
YES
YES
8,258
-6345
0.067
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PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
Table 11. 2SLS and GMM results for instrumental variables.
Variables
ESGMeant-1
ESG
Constant
Observations
Controls
Y/I/P FE
Adj R2
F statistics
Kleibergen-Paaprk LM statistic
Cragg-Donald Wald F-statistic
Kleibergen-Paaprk Wald F-statistic
https://doi.org/10.1371/journal.pone.0279220.t011
(1)
ESG
0.679***
(17.29)
2.766***
(54.35)
8,258
YES
YES
0.211
35.95
(2)
2SLS
GIt+1
(3)
GCt+1
(4)
GIt+1
(5)
GCt+1
GMM
0.757***
(6.89)
-1.419***
(-4.45)
8,258
YES
YES
0.071
19.64
235.653
262.190
299.097
1.156***
(6.56)
-2.260***
(-4.45)
8,258
YES
YES
0.072
12.26
235.653
262.190
299.097
0.755***
(6.87)
-1.391***
(-4.37)
8,258
YES
YES
0.071
1.159***
(6.58)
-2.238***
(-4.40)
8,258
YES
YES
0.072
simultaneously an impact on firms’ green innovation that makes the benchmark regressions
biased and inconsistent. We use an instrumental variable to address this issue to eliminate the
effect of potential endogeneity on the benchmark regression. This paper chooses the industry-
level mean of ESG (ESGMeant-1) of the previous year as the instrumental variable [84]. The
industry influences the ESG score, but the industry-level mean is not directly related to the
green performance of individual firms, so ESGMeant-1 meets the requirements of an instru-
mental variable.
Before conducting the least squares regression of the instrumental variables, we first con-
ducted a correlation coefficient test between ESGMeant-1 and ESG. The Pearson correlation
coefficient test results showed that the correlation coefficient between the two was 0.194 and
significant at the 1% level, so we can initially conclude that the higher the industry ESG means,
the higher the ESG performance of the firm. The outcomes of the 2SLS and GMM results for
the instrumental variables are shown in Table 11. The first three columns are the estimated
results of 2SLS. According to the regression results, the first stage’s coefficient estimates of
ESGMeant-1 is 0.679 and significant at the 1% level, suggesting that the industry in which a
company operates impacts its ESG performance. The second stage regression shows that the
predicted ESG coefficients are considerably positive at the 1% level, demonstrating that ESG
improves business performance regarding green innovation. After conducting the main
regression, we conduct a series of tests for instrumental variables such as homogeneity of
instrumental variables, weak instrumental variables, and over-identification, whose results
show that the Model passes all tests. The last two columns are the estimated results of GMM.
The regression results also validate the baseline hypothesis of this paper.
Propensity score matching
To address the problem of sample selection bias, we choose the propensity score matching
method (PSM), using a 1:1 nearest neighbor matching with a matching radius of 0.05, with
whether it is a highly polluting industry as the grouping variable and all the control variables
in column (1) as covariates, inducing age of establishment (Age), gearing (Leverage), return on
total assets (ROA), Tobin’s Q (Q), net cash from investing activities (ICF), fixed assets (Fix),
PLOS ONE | https://doi.org/10.1371/journal.pone.0279220 May 25, 2023
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PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
Table 12. PSM-benchmark regression results.
Variables
ESG
E
S
G
Constant
Y/I/P FE
Observations
Adj R2
(1)
GIt+1
0.260***
(4.92)
0.016
(0.05)
YES
3,379
0.109
(2)
GIt+1
(3)
GIt+1
(4)
GIt+1
0.099***
(4.06)
0.663***
(2.69)
YES
2,894
0.111
0.138***
(3.85)
0.317
(1.16)
YES
3,274
0.103
0.284
(1.57)
-0.361
(-0.45)
YES
3,379
0.098
https://doi.org/10.1371/journal.pone.0279220.t012
(5)
GCt+1
0.504***
(5.98)
-0.129
(-0.23)
YES
3,379
0.082
(6)
GCt+1
(7)
GCt+1
(8)
GCt+1
0.236***
(4.89)
0.867*
(1.84)
YES
2,894
0.080
0.260***
(6.10)
0.460
(0.96)
YES
3,274
0.072
0.456
(1.05)
-0.509
(-0.27)
YES
3,379
0.069
foreign ownership (QFII), dual employment (Dual) and audit opinion (Opinion). After passing
the common support hypothesis and parallel trend hypothesis tests, the benchmark regression
was re-run, and the regression results are shown in Table 12. From the results, we find that the
regression coefficients of ESG are all significantly positive at the 1% level. Meanwhile, the coef-
ficient estimates of E and S are both significantly positive at the 1% level, but the coefficient
estimate of G is not statistically significant after eliminating the problem of the sample, which
indicates that the short-term corporate governance objectives of the company are contrary to
the long-term green innovation activities, consistent with economic theory and experience.
Conclusion and discussion
Green innovation is a crucial manifestation of corporate applying the ESG concept, which
reflects the micro-green effect of the ESG evaluation system. Using panel data and the sample
of Chinese listed businesses from 2010 to 2019, we empirically explore the impact of ESG
scores on corporate green innovation from corporate investment efficiency and government-
enterprise relations perspectives. The results indicate both the composite and sub-scores of a
company’s ESG contribute to the quantity and quality of its green innovation. And ESG sup-
ports corporate green innovation by increasing businesses’ investment effectiveness and
improving their government-business relationship. The results also show that corporate green
attributes strengthen the promotion function of ESG on corporate green innovation. In con-
trast, black attributes reduce the beneficial effects of ESG on corporate green innovation.
According to our research, the following recommendations can be made for enhancing the
ESG evaluation system and encouraging the sustainable growth of micro-enterprises. Firms
need to implement the ESG concept, manage the various environmental risks they face,
increase their level of pro-environmental preference, enhance the environmental disclosure
mechanism, pay more attention to the non-financial performance of green performance, and
promote business development and green development. The findings of this paper prove the
importance of practicing environmental, social, and governance responsibilities and the posi-
tive significance of ESG performance for enterprises’ green and sustainable development. The
implementation of the ESG concept by enterprises is conducive to promoting the integration
of environmental, social, and economic performance and achieving a win-win situation of
environmental, social, and economic effects. Moreover, the findings of this paper also point
PLOS ONE | https://doi.org/10.1371/journal.pone.0279220 May 25, 2023
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PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
out the way and direction for enterprises to promote green innovation development. By
actively fulfilling environmental and social responsibilities, enterprises can win the trust of
stakeholders, including governments and investors, obtain key political and economic
resources that are indispensable for green innovation, alleviate financing constraints, improve
resource utilization, enhance the output and quality of green technology innovation, and
embark on a sustainable green development transformation path.
Moreover, the government should implement green development into practice, create fiscal
policies for businesses based on the ESG evaluation system, subsidize green enterprises and
restrict black enterprises, and encourage businesses to engage in green innovation activities
that adhere to ESG standards. The conclusion of this paper proves the key role played by good
political-business relations between ESG scores and corporate green innovation. Therefore,
the government should focus on the role of important political and economic resources,
including government subsidies and tax incentives, and strongly support enterprises to carry
out ESG practice projects that are beneficial to social development and progress to attract
enterprises to participate in green innovation activities consciously and actively, thus guiding
more enterprises to take the green development path.
Regulators should create distinct regulatory policies based on businesses’ environmental
risks and enhance the mechanism for exchanging environmental information to encourage
companies to engage in green innovation activities. Regulators should pay attention to the
environmental information disclosure of enterprises, timely detect the possible "greenwashing"
behavior of enterprises and punish these enterprises, to promote the ESG score to reflect the
ESG performance of enterprises more truly and let the ESG performance promote the green
innovation of enterprises in practice, that is, let the green attributes better promote the positive
link between ESG score and green innovation of enterprises, and weaken the inhibiting effect
of black attributes on the relationship between the two.
Institutional investors need to pay attention to the ESG performance of enterprises and fur-
ther incorporate ESG factors into their investment strategies to better identify enterprises’
internal and external environmental risks and provide enterprises with corresponding funds
based on ESG evaluation. As an important external stakeholder of enterprises, enterprises will
pay attention to the investment tendency of institutional investors to obtain more financing
support. Therefore, institutional investors pay attention to ESG investment concepts, environ-
mental protection of enterprises, and sustainable development strategies, which are conducive
to guiding enterprises to pay attention to ESG practices, fulfilling environmental and social
responsibilities, and enhancing their green innovation drive.
The limitations of this paper lie in the following two aspects. On the one hand, we only
explore the micro-green effect of the ESG evaluation system and do not analyze the role of the
ESG evaluation system comprehensively. On the other hand, we ignored the motives of corpo-
rate greenwashing and failed to eliminate the part of corporate greenwashing in green innova-
tion. Future research can examine the relationship between ESG scores and green innovation
from two aspects. First, the research can analyze the role of ESG in greenwashing behaviors
such as environmental performance, production performance, and investment efficiency. Sec-
ond, future research will have indicators to identify green innovation drifting green motives to
better examine the effectiveness of the ESG evaluation system.
Author Contributions
Conceptualization: Danni Chen.
Data curation: Chunlian Zhang, Danni Chen.
PLOS ONE | https://doi.org/10.1371/journal.pone.0279220 May 25, 2023
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PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
Formal analysis: Chunlian Zhang, Danni Chen.
Methodology: Chunlian Zhang.
Software: Danni Chen.
Supervision: Danni Chen.
Validation: Chunlian Zhang, Danni Chen.
Visualization: Danni Chen.
Writing – original draft: Chunlian Zhang, Danni Chen.
Writing – review & editing: Chunlian Zhang.
References
1. Xie X., Huo J., Zou H., "Green process innovation, green product innovation, and corporate financial
performance: A content analysis method". Journal of Business Research, vol. 101, pp. 697–706, 2019.
2. Roh T., Lee K., Yang J. Y., "How do intellectual property rights and government support drive a firm’s
green innovation? The mediating role of open innovation". Journal of Cleaner Production, vol. 317, Arti-
cle ID 128422, 2021.
3. Wang Y., Shen T., Chen Y., et al., "CEO environmentally responsible leadership and firm environmental
innovation: A socio-psychological perspective". Journal of Business Research, vol. 126, pp. 327–340,
2021.
4. Hao J., He F., "Corporate social responsibility (CSR) performance and green innovation: Evidence from
China". Finance Research Letters, vol. 48, Article ID 102889, 2022.
5.
Lin R.-J., Tan K.-H., Geng Y., "Market demand, green product innovation, and firm performance: evi-
dence from Vietnam motorcycle industry". Journal of Cleaner Production, vol. 40, pp. 101–107, 2013.
6. Rennings K., "Redefining innovation—eco-innovation research and the contribution from ecological
economics". Ecological Economics, vol. 32, no. 2, pp. 319–332, 2000.
7. Huang Y.-C., Chen C. T., "Exploring institutional pressures, firm green slack, green product innovation
and green new product success: Evidence from Taiwan’s high-tech industries". Technological Fore-
casting and Social Change, vol. 174, Article ID 121196, 2022.
8. Razzaq A., Wang Y., Chupradit S., et al., "Asymmetric inter-linkages between green technology innova-
tion and consumption-based carbon emissions in BRICS countries using the quantile-on-quantile
framework". Technology in Society, vol. 66, Article ID 101656, 2021.
9.
10.
Triguero A., Moreno-Monde´ jar L., Davia M. A., "Drivers of different types of eco-innovation in European
SMEs". Ecological Economics, vol. 92, pp. 25–33, 2013.
Farza K., Ftiti Z., Hlioui Z., et al., "Does it pay to go green? The environmental innovation effect on cor-
porate financial performance". Journal of Environmental Management, vol. 300, Article ID 113695,
2021. https://doi.org/10.1016/j.jenvman.2021.113695 PMID: 34649325
11. Cillo V., Petruzzelli A. M., Ardito L., et al., "Understanding sustainable innovation: A systematic literature
review". Corporate Social Responsibility & Environmental Management, vol. 26, no. 5, pp. 1012–1025,
2019.
12.
Islam T., Islam R., Pitafi A. H., et al., "The impact of corporate social responsibility on customer loyalty:
The mediating role of corporate reputation, customer satisfaction, and trust". Sustainable Production
and Consumption, vol. 25, pp. 123–135, 2021.
13. Sha Y., Zhang P., Wang Y., et al., "Capital market opening and green innovation——Evidence from
Shanghai-Hong Kong stock connect and the Shenzhen-Hong Kong stock connect". Energy Economics,
Article ID 106048, 2022.
14. Ren S., He D., Yan J., et al., "Environmental labeling certification and corporate environmental innova-
tion: The moderating role of corporate ownership and local government intervention". Journal of Busi-
ness Research, vol. 140, pp. 556–571, 2022.
15.
Zhao L., Zhang L., Sun J., et al., "Can public participation constraints promote green technological inno-
vation of Chinese enterprises? The moderating role of government environmental regulatory enforce-
ment". Technological Forecasting and Social Change, vol. 174, Article ID 121198, 2022.
16. Wu B., Fang H., Jacoby G., et al., "Environmental regulations and innovation for sustainability? Moder-
ating effect of political connections". Emerging Markets Review, vol. 50, Article ID 100835, 2022.
PLOS ONE | https://doi.org/10.1371/journal.pone.0279220 May 25, 2023
21 / 24
PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
17. Yang C.-H., Tseng Y.-H., Chen C.-P., "Environmental regulations, induced R&D, and productivity: Evi-
dence from Taiwan’s manufacturing industries". Resource and Energy Economics, vol. 34, no. 4, pp.
514–532, 2012.
18.
Zhong Z., Peng B., "Can environmental regulation promote green innovation in heavily polluting enter-
prises? Empirical evidence from a quasi-natural experiment in China". Sustainable Production and Con-
sumption, vol. 30, pp. 815–828, 2022.
19. Du G., Yu M., Sun C., et al., "Green innovation effect of emission trading policy on pilot areas and neigh-
boring areas: An analysis based on the spatial econometric model". Energy Policy, vol. 156, Article ID
112431, 2021.
20. Hu G., Wang X., Wang Y., "Can the green credit policy stimulate green innovation in heavily polluting
enterprises? Evidence from a quasi-natural experiment in China". Energy Economics, vol. 98, Article
ID 105134, 2021.
21. Yang S., Wang W., Feng D., et al., "Impact of pilot environmental policy on urban eco-innovation". Jour-
nal of Cleaner Production, vol. 341, Article ID 130858, 2022.
22. Ren K., Kong Y., Zhang T., et al., "The impact of the pollution permits system on green innovation: Evidence
from the county-level data in China". Journal of Cleaner Production, vol. 344, Article ID 130896, 2022.
23.
24.
Zhang W., Li G., Guo F., "Does carbon emissions trading promote green technology innovation in
China?". Applied Energy, vol. 315, Article ID 119012, 2022.
Zhou F., Wang X., "The carbon emissions trading scheme and green technology innovation in China: A
new structural economics perspective". Economic Analysis and Policy, vol. 74, pp. 365–381, 2022.
25. Wang H., Qi S., Zhou C., et al., "Green credit policy, government behavior and green innovation quality
of enterprises". Journal of Cleaner Production, vol. 331, Article ID 129834, 2022.
26. Wang Y., Li M., "Credit policy and its heterogeneous effects on green innovations". Journal of Financial
Stability, vol. 58, Article ID 100961, 2022.
27.
Zhang Y., Li X., Xing C., "How does China’s green credit policy affect the green innovation of high pollut-
ing enterprises? The perspective of radical and incremental innovations". Journal of Cleaner Produc-
tion, vol. 336, Article ID 130387, 2022.
28. Cui J., Dai J., Wang Z., et al., "Does Environmental Regulation Induce Green Innovation? A Panel
Study of Chinese Listed Firms". Technological Forecasting and Social Change, vol. 176, Article ID
121492, 2022.
29.
30.
Li H., Zhang X., Zhao Y., "ESG and Firm’s Default Risk". Finance Research Letters, vol., Article ID
102713, 2022.
Luo Y., Xiong G., Mardani A., "Environmental information disclosure and corporate innovation: The
"Inverted U-shaped" regulating effect of media attention". Journal of Business Research, vol. 146, pp.
453–463, 2022.
31. Wang S., Lin W., Zhang Z., et al., "Does the environment information announcement promote green
innovation? A quasi-natural experimental evidence from the city-level of China". Ecological Indicators,
vol. 136, Article ID 108720, 2022.
32.
33.
34.
Zhang S., Zhang M., Qiao Y., et al., "Does improvement of environmental information transparency
boost firms’ green innovation? Evidence from the air quality monitoring and disclosure program in
China". Journal of Cleaner Production, vol. 357, no., pp. 131921, 2022.
Zhang C., Zhou B., Tian X., "Political connections and green innovation: The role of a corporate entrepreneur-
ship strategy in state-owned enterprises". Journal of Business Research, vol. 146, pp. 375–384, 2022.
Liu J., Zhao M., Wang Y., "Impacts of government subsidies and environmental regulations on green
process innovation: A nonlinear approach". Technology in Society, vol. 63, Article ID 101417, 2020.
35. Xiang X., Liu C., Yang M., "Who is financing corporate green innovation?". International Review of Eco-
nomics & Finance, vol. 78, pp. 321–337, 2022.
36. Ren S., Sun H., Zhang T., "Do environmental subsidies spur environmental innovation? Empirical evi-
dence from Chinese listed firms". Technological Forecasting and Social Change, vol. 173, Article ID
121123, 2021.
37. He K., Chen W., Zhang L., "Senior management’s academic experience and corporate green innova-
tion". Technological Forecasting and Social Change, vol. 166, Article ID 120664, 2021.
38. Ullah S., Nasim A., "Do firm-level sustainability targets drive environmental innovation? Insights from
BRICS Economies". Journal of Environmental Management, vol. 294, Article ID 112754, 2021. https://
doi.org/10.1016/j.jenvman.2021.112754 PMID: 34265739
39. Alda M., "The environmental, social, and governance (ESG) dimension of firms in which social responsi-
ble investment (SRI) and conventional pension funds invest: The mainstream SRI and the ESG inclu-
sion". Journal of Cleaner Production, vol. 298, Article ID 126812, 2021.
PLOS ONE | https://doi.org/10.1371/journal.pone.0279220 May 25, 2023
22 / 24
PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
40. Debbarma J., Choi Y., "A taxonomy of green governance: A qualitative and quantitative analysis
towards sustainable development". Sustainable Cities and Society, vol. 79, Article ID 103693, 2022.
41. Kraus S., Rehman S. U., Garcı´a F. J. S., "Corporate social responsibility and environmental perfor-
mance: The mediating role of environmental strategy and green innovation". Technological Forecasting
and Social Change, vol. 160, Article ID 120262, 2020.
42. Khan S. A. R., Godil D. I., Jabbour C. J. C., et al., "Green data analytics, blockchain technology for sus-
tainable development, and sustainable supply chain practices: evidence from small and medium enter-
prises". Annals of Operations Research, pp. 1–25, 2021.
43.
Tarmuji I., Maelah R., Tarmuji N., et al., "The Impact of Environmental, Social and Governance Prac-
tices (ESG) on Economic Performance: Evidence from ESG Score ". International Conference on Eco-
nomics & Finance Research; Vol. 37, no. 3, pp. 67–74,2016.
44. Nekhili M., Boukadhaba A., Nagati H., et al., "ESG performance and market value: the moderating role
of employee board representation". International Journal of Human Resource Management, vol. 32,
no. 14, pp. 3061–3087, 2021.
45. Atan R., Alam M. M., Said J., et al., "The impacts of environmental, social, and governance factors on
firm performance". Management of Environmental Quality: An International Journal, vol. 29, no. 2, pp.
182–194, 2018.
46. Wong W. C., Batten J. A., Ahmad A. H., et al., "Does ESG certification add firm value?". Finance
Research Letters, vol. 39, Article ID 101593, 2021.
47. Patel P. C., Pearce J. A., Oghazi P., "Not so myopic: Investors lowering short-term growth expectations
under high industry ESG-sales-related dynamism and predictability". Journal of Business Research,
vol. 128, pp. 551–563, 2021.
48. Alkaraan F., Albitar K., Hussainey K., et al., "Corporate transformation toward Industry 4.0 and financial
performance: The influence of environmental, social, and governance (ESG)". Technological Forecast-
ing and Social Change, vol. 175, Article ID 121423, 2022.
49. Becker M. G., Martin F., Walter A., "The power of ESG transparency: The effect of the new SFDR sus-
tainability labels on mutual funds and individual investors". Finance Research Letters, Article ID
102708, 2022.
50.
51.
Luo D., "ESG, liquidity, and stock returns". Journal of International Financial Markets, Institutions and
Money, vol. 78, Article ID 101526, 2022.
Lo¨ o¨ f H., Sahamkhadam M., Stephan A., "Is Corporate Social Responsibility investing a free lunch? The
relationship between ESG, tail risk, and upside potential of stocks before and during the COVID-19 cri-
sis". Finance Research Letters, vol. 46, Article ID 102499, 2022.
52. Giese G., Lee L., Melas D., et al., "Foundations of ESG Investing: How ESG Affects Equity Valuation,
Risk, and Performance". Journal of Portfolio Management, vol. 45, no. 05, pp. 69–83, 2019.
53. Broadstock D. C., Matousek R., Meyer M., et al., "Does corporate social responsibility impact firms’
innovation capacity? The indirect link between environmental & social governance implementation and
innovation performance". Journal of Business Research, vol. 119, pp. 99–110, 2020.
54.
Fatemi A., Glaum M., Kaiser S., "ESG performance and firm value: The moderating role of disclosure".
Global Finance Journal, vol. 38, pp. 45–64, 2018.
55. Auer B.R., Schuhmacher F., Do socially (ir)responsible investments pay? New evidence from interna-
tional ESG data, (2016) Quarterly Review of Economics and Finance, 59, pp. 51–62
56. Mbanyele W., Huang H., Li Y., et al., "Corporate social responsibility and green innovation: Evidence
from mandatory CSR disclosure laws". Economics Letters, vol. 212, Article ID 110322, 2022.
57. ESG and corporate financial performance: the mediating role of green innovation: UK common law ver-
sus Germany civil law, Chouaibi S., Chouaibi J., Rossi M. EuroMed Journal of Business, 2022, 17
(1), pp. 46–71
58.
Tan Y., Zhu Z., "The effect of ESG rating events on corporate green innovation in China: The mediating
role of financial constraints and managers’ environmental awareness". Technology in Society, vol. 68,
Article ID 101906, 2022.
59. Yoon B., Chung Y., "The effects of corporate social responsibility on firm performance: A stakeholder
approach". Journal of Hospitality and Tourism Management, vol. 37, pp. 89–96, 2018.
60. Albort-Morant G., Leal-Milla´n A., Cepeda-Carrio´n G., "The antecedents of green innovation perfor-
mance: A model of learning and capabilities". Journal of Business Research, vol. 69, no. 11, pp. 4912–
4917, 2016.
61. Shen H., Ma Z., "Local Economic Development Pressure, Firm Environmental Performance and Debt
Financing". Journal of Financial Research, vol., no. 2, pp. 153–166, 2014.
PLOS ONE | https://doi.org/10.1371/journal.pone.0279220 May 25, 2023
23 / 24
PLOS ONEDo Corporate ESG Scores Improve Green Innovation?Empirical Evidence from Chinese Listed Companies
62. Adomako S, Tran MD. Environmental collaboration, responsible innovation, and firm performance: The
moderating role of stakeholder pressure[J]. Business Strategy and the Environment, 2022, 31(4):
1695–1704.
63. Yuan B, Cao X. Do corporate social responsibility practices contribute to green innovation? The mediat-
ing role of green dynamic capability[J]. Technology in Society, 2022, 68: 101868.
64. Yan J., "Corporate Social Responsibility Disclosure and Innovation Performance: An Empirical Study
Based on Chinese Listed Firms during "the Post- mandatory Period"". Science of Science and Manage-
ment of S.& T., vol. 42, no. 1, pp. 57–75, 2021.
65. Cowan K, Guzman F. How CSR reputation, sustainability signals, and country-of-origin sustainability
reputation contribute to corporate brand performance: An exploratory study[J]. Journal of business
research, 2020, 117: 683–693.
66. Cahan SF, Chen C, Chen L, et al. Corporate social responsibility and media coverage[J]. Journal of
Banking & Finance, 2015, 59: 409–422.
67.
Tian X, Wang TY. Tolerance for failure and corporate innovation[J]. The Review of Financial Studies,
2014, 27(1): 211–255.
68. He JJ, Tian X. The dark side of analyst coverage: The case of innovation[J]. Journal of Financial Eco-
nomics, 2013, 109(3): 856–878.
69. Bardos KS, Ertugrul M, Gao LS. Corporate social responsibility, product market perception, and firm
value[J]. Journal of Corporate Finance, 2020, 62: 101588.
70.
Zhu D., Zhou X., "Equity Restriction, Managerial Ownership and Enterprise Innovation Efficiency". Nan-
kai Business Review, vol. 19, no. 3, pp. 136–144, 2016.
71. Ross S. A., "The Determination of Financial Structure: The Incentive-Signaling Approach". Bell Journal
of Economics, vol. 8, no. 1, pp. 23–40, 1977.
72. Cornell B., "ESG Preferences, Risk and Return". European Financial Management, vol. 27, no. 1, pp.
12–19, 2021.
73.
Zhai Y, Cai Z, Lin H, et al. Does better environmental, social, and governance induce better corporate
green innovation: The mediating role of financing constraints[J]. Corporate Social Responsibility and
Environmental Management, 2022, 29(5): 1513–1526.
74. Buallay A., Hamdan R., Barone E., & Hamdan A. (2022). Increasing female participation on boards:
Effects on sustainability reporting. International Journal of Finance and Economics, 27(1), 111–124.
75. Song W. H., & Yu H. Y. (2018). Green innovation strategy and green innovation: The roles of green cre-
ativity and green organizational identity. Corporate Social Responsibility and Environmental Manage-
ment, 25(2), 135–150.
76.
Limkriangkrai M., Koh S., Durand R. B., "Environmental, Social, and Governance (ESG) Profiles, Stock
Returns, and Financial Policy: Australian Evidence". International Review of Finance, vol. 17, no. 3, pp.
461–471, 2017.
77. Cheng B. T., Ioannou I., Serafeim G., "Corporate social responsibility and access to finance". Strategic
management journal, vol. 35, no. 1, pp. 1–23, 2014.
78.
79.
The effect of corporate social responsibility and the executive compensation on implicit cost of equity:
Evidence from French ESG data, Chouaibi, Y., Rossi, M., Zouari, G., Sustainability (Switzerland), 2021,
13(20), 11510
Tolliver C, Fujii H, Keeley AR, et al. Green innovation and finance in Asia[J]. Asian Economic Policy
Review, 2021, 16(1): 67–87.
80. Bi K., Huang P., Wang X. Innovation performance and influencing factors of low-carbon technological
innovation under the global value chain: A case of Chinese manufacturing industry, (2016) Technologi-
cal Forecasting and Social Change, 111, pp. 275–284.
81. Chouaibi S, Rossi M, Siggia D, et al. Exploring the moderating role of social and ethical practices in the
relationship between environmental disclosure and financial performance: evidence from ESG compa-
nies[J]. Sustainability, 2022, 14(1): 209.
82. Gomariz M. F. C., Ballesta J. P. S., "Financial reporting quality, debt maturity and investment efficiency".
Journal of Banking & Finance, vol. 40, pp. 494–506, 2014.
83. Yuan B., Cao X., "Do corporate social responsibility practices contribute to green innovation? The medi-
ating role of green dynamic capability". Technology in Society, vol. 68, Article ID 101868, 2022.
84. Baron R. M., Kenny D. A., "The moderator-mediator variable distinction in social psychological
research: Conceptual, strategic, and statistical considerations". Journal of Personality and Social Psy-
chology, vol. 51, pp. 1173–1182, 1986. https://doi.org/10.1037//0022-3514.51.6.1173 PMID: 3806354
85. Wu D., Zhao Q., Han J., "Corporate Social Responsibility and Technological Innovation: Evidence from
China". Nankai Economic Studies, no. 3, pp. 140–160, 2020.
PLOS ONE | https://doi.org/10.1371/journal.pone.0279220 May 25, 2023
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10.1016_j.jrurstud.2023.01.003.pdf
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Contents lists available at ScienceDirect
Journal of Rural Studies
journal homepage: www.elsevier.com/locate/jrurstud
Rural co-working: New network spaces and new opportunities for a
smart countryside
Gary Bosworth a, *, Jason Whalley a, Anita Fuzi b, Ian Merrell c, f, Polly Chapman d, Emma Russell e
a Newcastle Business School, Northumbria University, Newcastle Upon Tyne, UK
b Cushman & Wakefield, London, UK
c Rural Policy Centre, Scotland’s Rural University College, Edinburgh, Scotland
d Impact Hub Inverness, Inverness, Scotland, UK
e DIGIT Research Centre, University of Sussex, UK
f National Innovation Centre for Rural Enterprise, Newcastle University, UK
A R T I C L E I N F O
A B S T R A C T
Keywords:
Co-working
Rural entrepreneurship
Digital economy
Network-immiscibility
Smart countryside
Coworking has been a largely urban phenomenon although new initiatives are emerging in rural areas. Rural
coworking is partly a response to the growing need for ICT, which is unevenly provided across rural areas, and
partly to the social needs of freelancers and home-workers. By combining technological and social functions,
coworking spaces can play key roles in the progress of a Smart Countryside, supporting digital, knowledge-based
and creative entrepreneurs within rural places, thus reducing the need for extensive commuting and out-
migration, particularly among younger and higher-skilled workers.
As working practices evolve in the aftermath of Covid-19, these new physical spaces are expected to facilitate
new network connections. Castells’ Network Society provides a valuable lens through which to investigate how
coworking founders and managers promote a mix of internal and external networks that might create new, and
superior, entrepreneurial opportunities. The research highlights strategies to promote collaboration as well as
methods of adapting to meet new demands from rural workers in a range of rural settings. As an array of different
rural coworking models evolve, we also reflect on the importance of inclusivity and identity in determining their
relationship with other actors in the local economy.
1. Introduction
The digitalisation of information and communications in the Global
Network Society has facilitated working beyond traditional offices, so
long as individuals have the requisite network connectivity (Castells,
2004) and the skills required for digital and remote working (Helsper
and van Deursen, 2017; OECD, 2019). Remote working offers the po-
tential to create a so-called “cyber-utopia” without traffic jams or urban
overcrowding (Malecki and Moriset, 2008, p150), but this vision was
only unexpectantly realised as a consequence of the lockdown measures
adopted during the Covid-19 global pandemic, which were anything but
utopian. Despite the earlier, relatively slow development of coworking,
particularly in more rural settings, many commentators suggest that
elements of these new ways of working will perpetuate in varying forms
in a post-Covid economy (Clark, 2020; Kitagawa et al., 2021; Marcus,
2022; Tomaz et al., 2021; Reuschke et al., 2021).
In this article, we define coworking spaces as, “flexible, shared,
rentable and community-oriented workspaces occupied by professionals
from diverse sectors” that are “designed to encourage collaboration,
creativity, idea sharing, networking, socializing, and generating new
business opportunities for small firms, start-ups and freelancers” (Füzi,
2015, p462). Coworking offers the potential to reverse or slow down the
relentless expansion of commuting and other business travel (Fior-
entino, 2019; Ohnmacht et al., 2020), which can have major impacts for
the environment as well as the economic and social geography of both
cities and rural regions. Uncertainty about the future intensity of
city-centre office working in the wake of Covid-19 (Glaeser, 2021;
Florida et al., 2020; Marcus, 2022; Nathan and Overman, 2020) along
with increased investment in rural digital connectivity to address the
long-standing “digital divide” (Salemink et al., 2017) and increasing
* Corresponding author.
E-mail addresses: gary.bosworth@northumbria.ac.uk (G. Bosworth), jason.whalley@northumbria.ac.uk (J. Whalley), anita.fuezi@gmail.com (A. Fuzi), ian.
merrell@sruc.ac.uk (I. Merrell), polly.champman@impacthub.net (P. Chapman), emma.russell@sussex.ac.uk (E. Russell).
https://doi.org/10.1016/j.jrurstud.2023.01.003
Received 26 February 2022; Received in revised form 23 December 2022; Accepted 9 January 2023
JournalofRuralStudies97(2023)550–559Availableonline13January20230743-0167/©2023TheAuthors.PublishedbyElsevierLtd.ThisisanopenaccessarticleundertheCCBYlicense(http://creativecommons.org/licenses/by/4.0/).G. Bosworth et al.
demand for rural living (Property Wire, 2020) make this a critical time
to investigate the new entrepreneurial dynamics that might be activated
and sustained by rural coworking spaces.
We apply the lens of the Network Society (Castells, 2004), which
emphasises both social and technological processes, to assess the role of
coworking in so called “smart rural futures” that are themselves
dependent upon knowledge and innovation supported by advances in
communications technology (Naldi et al., 2015). Applying this lens, our
analysis focuses on two objectives: Firstly, to examine the new networks
that are emerging within rural coworking spaces and the strategies of
coworking operators that nurture collaborative communities; and sec-
ondly, to examine linkages that are developing between coworking
spaces and their wider rural and regional economies. As rural develop-
ment is influenced by both internal and external drivers of growth,
requiring a similar mix of network connections (Ray, 2006; Bock, 2016),
we are fundamentally concerned with the roles that rural coworking
spaces can play in integrating local and extra-local economies.
Our research examines whether coworking spaces build new con-
nections within their local communities and economies (i.e., are highly
embedded) to boost the local entrepreneurial ecosystem (Mason and
Brown, 2014), or whether they exist more as urban exclaves serving the
needs of urban-centric businesses and remote working practices among
urban employees. Just as Castells observed the potential for unequal
access to networks and resources in his Network Society, a study of a
London coworking venue, identified that the value of openness could
“constitute new geographies of exclusion, enclosure and exploitation”
(Lorne, 2019, p761). The diversity that is championed as a driver of
innovation reifies the entrepreneurial personality who is comfortable is
that space, but potentially alienates other kinds of diversity. This
dilemma helps us to frame the two objectives of this paper around the
internal and external dynamics of coworking.
In line with these objectives, we developed a qualitative approach to
engage with a range of coworking operators located in, and/or serving,
rural areas. After an initial review of the literature on the emergence of
coworking and the theoretical foundations of the Network Society and
Smart Rural Development, we present the full methodology and then
report on findings from interviews and focus groups. We finish by of-
fering conclusions and recommendations.
1.1. Rural coworking: the story pre-covid
Telework centres (Oestmann and Dymond, 2001) or telecottages
(Paavonen, 1999) developed through the 1990–2000s with early ver-
sions recognising the need of homeworkers to create physical and
mental separation between home and work, to access superior tech-
nology and to replicate the “buzz” of a traditional office setting (Malecki
and Moriset, 2008). Many early examples struggled to transition from
public funding into sustainable business models (Mokhtarian and Bag-
ley, 2000) but, moving into the 2010s, the number of coworking spaces
grew globally (Clifton et al., 2019). Although the sector has evolved
more slowly in rural areas, the impact of the Covid-19 pandemic has
drawn attention to more peripheral and rural working environments
(Akhavan et al., 2021).
Coworking spaces take a number of forms and operate with different
ownership and management structures (Fiorentino, 2019). Private en-
terprises can be single facilities or global companies operating a network
of venues. There are also a wide range of publicly-run and
community-led initiatives, filling these gaps left by private enterprise or
creating alternative spaces tailored to niche user-demands. Focusing on
rural regions, venues vary from informal community spaces, often
retro-fitted to take up otherwise redundant space, through to dedicated
spaces co-located with enterprise hubs or business incubators offering
users the option to rent fixed workspace as well as hot-desks (Merrell
et al., 2022).
The spread of coworking spaces into more rural areas has been
enabled by rapid advances in digital technologies and increased
coverage of Wi-Fi enabled broadband (Houghton et al., 2018; Nambisan
et al., 2019). The range of jobs that can be carried out beyond the
traditional workplace is also increasing, so long as the requisite con-
nectivity is available (Kane and Clark, 2019). In particular, the indi-
vidualisation of work, combined with low-cost software and an
explosion of cloud-based and mobile app-based digital services allow
co-workers to operate relatively independently (Vallas and Schor,
2020). Sole-traders can streamline a range of administration activities,
customer services and accounts (Atherton, 2016; Jordan, 2021),
changing the traditional professional service function for both service
user and service provider and creating new spaces for innovation. Dig-
ital technologies are also accelerating the inception, scaling and evolu-
tion of new ventures and leading to some radical re-thinking of creative
endeavours that span traditional industry/sectoral boundaries (Nambi-
san et al., 2019).
Coworking was traditionally most attractive to smaller start-up
businesses, creative industries, freelancers and solo consultancies
(Füzi, 2015), with only a few examples identifying their appeal to
homeworkers employed by larger institutions, including the public
sector (Houghton et al., 2018). The essential values of coworking
include work-life balance, reduced commuting and new network op-
portunities, whether for collaboration and knowledge-sharing or to help
homeworkers to overcome isolation (Spinuzzi 2012; Füzi, 2015) and
create important markers between work and home life (Russell and
Grant, 2020; Merrell et al., 2022). While pre-pandemic research has
shown that homeworking can enhance the well-being of many groups of
workers, especially employees, isolation of self-employed workers was
found to have impacts on the perceived financial situation of the
household in addition to feeling of loneliness (Reuschke, 2019). The
social value of coworking spaces extends to the provision of a stronger
collective voice to their members in local development policy circles
with the ability to lobby for better business support and infrastructure
improvements (Kolehmainen et al., 2016).
Whether just small-talk and companionship or more business focused
benefits of knowledge exchange and collaboration, the social functions
of coworking spaces have been linked to better time management,
personal and psychological health benefits and serendipitous moments
that trigger learning and innovations (Kov´acs and Zolt´an 2017). In rural
settings, this can extend to community well-being impacts too, partic-
ularly as coworking spaces have the potential to engage different com-
munity groups as well as businesses (Stojmenova Duh and Kos, 2016).
Where coworking spaces develop to become embedded as part of the
relational assets (Storper, 1997) of a local innovative milieu (Camagni,
1995) or entrepreneurial ecosystem (MasonandBrown, 2014), their in-
fluence can transcend the value to members by enhancing the image of a
place, providing a hub of activity to sustain other nearby enterprise and
providing support to a range of community initiatives (Hill, 2022). This
embedding role of coworking spaces fits with narratives of the influence
of social and community factors on rural entrepreneurship practices
(Korsgaard et al., 2015; Bosworth and Turner, 2018).
The benefits of interacting and collaborating with people from
different professions is frequently cited (Houghton et al., 2018;
ˇ
Sebestov´a et al., 2017), but research suggests that co-location alone is
not sufficient to generate cross-fertilization and innovation outcomes
(Füzi, 2015; Johns and Hall, 2020). Successful collaboration is depen-
dent on internal facilitators and the wider entrepreneurial environments
in which they are located (Kov´acs and Zolt´an, 2017; Clifton et al., 2019).
In particular, more facilitated models of coworking with skilled
hosts/managers were found to be important to support younger entre-
preneurs and start-ups, mirroring some of the more established learning
from business incubators (Füzi, 2015). This highlights the need to better
understand the nature of new network configurations that will form
within and beyond coworking spaces and the outcomes that may follow.
Predictions that rural coworking will advance through a combination of
tailored policies coupled with bottom-up initiatives (Akhavan et al.,
2021) lead us to examine these complex relationships through the lenses
JournalofRuralStudies97(2023)550–559551G. Bosworth et al.
of the Network Society and “smart” rural development.
2. Smart rural development and the Network Society
The likely impact of new connectivity and mobility technologies
mean that smart rural futures need to be framed differently from smart
cities (Cowie et al., 2020), and need to take account of different rural
and remote working patterns and coworking spaces. From a sustain-
ability perspective, new technologies within coworking hubs can reduce
commuting and carbon footprints and shorten supply chains, offering
the potential to revitalise rural economies (Zavratnik et al., 2019) and
helping to address the smart vs sustainable growth conundrum (Naldi
et al., 2015). To be effective, these technological developments depend
on social factors too, which are central to understanding the Network
Society.
The Network Society is defined as: “The social structure that results
from the interaction between social organisation, social change, and a tech-
nological paradigm constituted around digital information and communica-
tion technologies” (Castells, 2004, xvii). Although most references to
Castells’ work focus on the global reach of digital networks and examine
his “space of flows” concept (Simonsen, 2004; Zhen et al., 2020), Cas-
tells himself recognises the importance of different cultures, power and
localised networks being integral to understanding and shaping the
Network Society. While the Network Society connects many cultures on
one level, people’s local experiences can be “fragmented, customized
[and] individualized” (Castells, 2004, p30).
The Network Society allows people to participate in multiple net-
worked spaces of communication centred around mass media and the
Internet, and not necessarily embedded in the local community. This
spatial-social dichotomy is not unique to the online world, as shown by
research into rural migration and commuting patterns (Champion et al.,
2009; Bosworth and Venhorst, 2018), but the proliferation of digital
communications exacerbates fragmentation. The irony of framing
coworking spaces, which are themselves dependent on digital technol-
ogy, as the antidote for rural society to reconnect around “place” is not
lost on us, but we see their emergence as a key component of smart rural
development (Naldi et al., 2015; Slee, 2019). Just as smart growth is
founded on knowledge and innovation supported by advances in com-
munications technology (Naldi et al., 2015), the Network Society also
views economic growth as being dependent on global flows of infor-
mation structured around socio-technological networks (Castells, 2004).
Castells makes no particular reference to rural areas, suggesting that
rural spaces sit rather low in the hierarchy of network nodes (Murdoch,
2000) and at the periphery of knowledge-based networks (Benneworth
and Charles, 2005). However, a more positive outlook is that mecha-
nisms to enhance access to these global flows of information could break
down old spatial divisions such as the urban-rural divide (Murdoch,
2000). Coworking is one such mechanism, which brings the added
advantage that it can help to address the digital divide (Salemink et al.,
2017) by providing greater access to new technologies and supporting
the digital skills and social networks needed to promote local entre-
preneurship and innovation (Gerli and Whalley, 2022). This reinforces
the importance of places as mediators of technological change (Cowie
et al., 2020) as well as the environments in which meaningful cultural
and social existence occurs (Fisker et al., 2021).
The global nature of the Network Society demands cultural distinc-
tiveness as the cornerstone of communication and knowledge exchange.
Castells argues that “cultural identities become the trenches of auton-
omy” (2004, p39) offering the potential for “complementarity and
reciprocal learning” (2004, p42) between cultures. This requires local
actors to have sufficient agency to balance top-down and bottom-up
processes and develop a strong voice in dialogues with external orga-
nisations. In the language of the Network Society, actors need the means
to communicate and understand different cultures with the necessary
openness to allow the permeation of new ideas across diverse networks.
To advance “smart” forms of place-based development, local actors need
to draw upon the value and distinctiveness of local resources, knowledge
and traditions when engaging in wider networks (Naldi et al., 2015;
OECD, 2018).
Castells refers to cultures having their relevance as “nodes of a net-
worked system of cultural dialogue” (2004, p42) and Murdoch describes
“a constellation of networks that can be found in the contemporary
countryside” (2006, p172). While this shows that rural areas have an
important place in a global Network Society, we need to understand
more about the different types of networks, their resources, their
inter-connections and their reach. Where rural nodes become discon-
nected from dominant, resource-rich networks, their value is diminished
and individuals become excluded (Hacker et al., 2009). Exclusion from
networks relegates actors to the space of place alone, bypassed by the
network flows that are essential facilitators of social mobility as well as
entrepreneurship (Baker et al., 2017). Therefore, the spaces and pro-
cesses that create and sustain networks within rural spaces are critical to
explaining entrepreneurial and innovative potential. Returning to Cas-
tells, “We must place at the centre of the analysis the networking capacity of
institutions, organisations, and social actors, both locally and globally.
Connectivity and access to networks become essential” (2004, p42).
Local social and economic dynamics see rural entrepreneurs draw on
a range of resources to create distinctive business opportunities that
satisfy both economic and lifestyle goals (Korsgaard et al., 2015). Too
much emphasis on high growth, high-tech and innovative entrepre-
neurship within the entrepreneurial ecosystem literature constrains our
understanding of entrepreneurial enablers and dynamics in rural con-
texts (Mu˜noz and Kimmitt, 2019). Instead, capitalising on the value of
multiple, heterogenous rural assets requires networks through which
their distinctive values can be communicated effectively, thus
strengthening the identity of network nodes themselves. As Horlings et
al. observe, “The nature of a place is not just a matter of its internal
(perceived) features, but a product of its connectivity with other places.
Places are nodes in networks, integrating the global and the local” (2020.
P.356).
The value of networks depends upon the utility of their nodes and the
wider access that they provide (Anttiroiko, 2016; Varnelis, 2008). The
sparser networks of firms in rural areas may diminish some network
advantages, such as access to information, business support or training,
but they still motivate innovation and entrepreneurship (Copus and
Skuras 2006) and provide conduits through which firms can develop and
communicate their distinctive values and capabilities (Malecki 1997).
Indeed, the greater propensity for self-employment (Phillipson et al.,
2019) and greater overlap of social and economic imperatives among
many rural businesses (Steiner and Atterton, 2014) may see rural net-
works becoming more start-up oriented and mutually supportive,
drawing on a collective identity outside of urban networks. Within this
space, new combinations of local and extra-local knowledge and re-
lationships can spark new entrepreneurial ideas and opportunities. In
rural regions experiencing increased rates of counterurbanisation and
return migration, these trends add further to the network diversity
(Kalantaridis and Bika, 2011; Mitchell and Madden, 2014).
Until now, the economic potential of rural areas has been limited by
slower and inferior provision of communications infrastructure
compared to urban areas (Grubesic and Mack, 2017). The disadvantages
that this created for rural areas are, however, narrowing through the
collective impact of policy initiatives, government investment and
entrepreneurial activity (Gerli et al., 2020; Sadowski, 2017). As a result,
new opportunities are emerging for entrepreneurs to combine distinc-
tive features of rurality with the benefits of digital technologies –
reaching new markets, interacting more with customers and developing
new products and services as well as new working practices and business
models that reflect distinctive values attributed to rural places (Hill,
2022; Bosworth and Turner, 2018).
Rural coworking spaces form part of this evolution, challenging
conventional institutional and organisational cultures and affording
greater importance to individuals’ networks in their communities of
JournalofRuralStudies97(2023)550–559552G. Bosworth et al.
place (Mazur and Duchlinski, 2020). Recognising that rural coworking is
opening up to employees as well as freelancers, the idea that one shares
information with one’s coworking neighbour, in another firm or another
industry, before sharing it with one’s work colleague may be unsettling
for managers but transformative for innovation. With Covid-19 stimu-
lating a rapid increase in remote working, the “buzz” of urban locations
may be compromised, and the value of rural environments and their
community connections are accentuated.
The weakening gravitational pull of clusters, especially in the tech-
nology sector (Feldman et al., 2020), challenges conventional regional
economic theories and represents a major U-turn for firms who have
spent years investing in attractive, comfortable and collaborative
workplace environments (Dahl and Sorensen, 2020). Echoing calls from
Gruber and Soci (2010) a decade ago, such transformation calls for
greater attention to be afforded to the local dynamics of peripheral re-
gions, not just to dominant (traditionally urban-centric) network nodes.
While cities will recover, their functions may change and the new-found
acceptance of nomadic forms of working will see different features of
local environments attracting workers with the flexibility to work
remotely. Just as Castells observed, though, this will have implications
for those who are less able to engage in this new labour market and
whose jobs require a physical presence in fixed premises (Florida et al.,
2020; Marcus, 2022).
Reframing the Network Society to consider the uniqueness of rural
economies identifies that networks are not just spaces of flows but they
are fundamental to shaping and narrating rural places. However, the
configuration of networks within a spatially defined node and the extent
to which actors are embedded in more locally or externally-oriented
networks are essential to understanding the implications for rural pla-
ces. For example, more innovative services have been associated with
the need for stronger external networks connecting into nodes higher up
the urban hierarchy (Shearmur and Doloreux, 2015) yet other creative
businesses thrive as a result of their rural locations (Townsend et al.,
2017). The new spaces of rural coworking hubs and the increased va-
riety of remote-working practices prompted by the Covid-19 pandemic,
provide the context for rethinking the meaning and influence of rural
places becoming more vibrant and active nodes within the Network
Society.
The co-location of employees and entrepreneurs across a range of
sectors forms part of the entrepreneurial potential of rural coworking,
supporting an emerging literature on sector fluidity that views industries
sectors being less fixed or bounded (De Massis et al., 2018) and
collaborating in a quadruple helix relationship (Kolehmainen et al.,
2016). Rather than a sector-focused set of relationships, rural coworking
provides a greater emphasis on the social and cultural environment,
inspiration and opportunities
from where entrepreneurs derive
(Anderson et al., 2010; Honig and Samuelsson, 2021). At this
hyper-local scale, coworking spaces foster individual relationships and
knowledge exchange that erode boundaries between firms and sectors.
This is not technology breaking down barriers in the traditional lan-
guage of the Network Society but a hybrid space where re-localisation
presents a new nexus of opportunities and enterprising actors (Shane
and Venkataraman, 2000) combined with networks connecting to
external enablers (Davidsson, 2015).
To better understand these emerging entrepreneurial spaces, both
the internal and external dynamics of rural coworking spaces are
investigated. Recognising that digitization is offering the tools to sup-
port collective approaches to the pursuit of entrepreneurship (Nambi-
san, 2017), and combining this with analysis of the network structures
that surround rural coworking spaces, the methodology reflects
contemporary understanding of a smart countryside.
3. Methodology
Since the research took place during the Covid-19 pandemic, all data
collection was conducted online. This included a series of 17 semi-
structured video interviews with coworking operators/developers,
supplemented by two policy-maker focus groups, an interview with the
managing director of the Flexible Workspace Association and a larger
online workshop. In total, the research engaged with around 80 discrete
participants between September 2020 and June 2021. Additional data
was collected from analysis of website content to explore the marketing
messages used to describe the advantages of coworking, their key fea-
tures and the rationales behind their establishment. This captured the
perspectives of operators as well as the representation of rural cow-
orking that they seek to communicate externally – mirroring the twin
objectives of understanding both internal and external dynamics of rural
coworking.
The inability to access users of coworking spaces was a limitation of
the research project, something which is planned to be addressed in
future research. However, the framing of this paper means that the
founders and managers are best placed to explain their strategies and
give an informed overview of the evolving nature of rural coworking
based on their experiences. They were asked to comment on the reasons
that their members and customers gave for using their venues as well as
explaining their marketing strategies, business models, workspace and
technology provision, and the ways that they adapted to stay in contact
with their members through the various periods of Covid-19 lockdown.
The video interviews were audio-recorded and participants gave
their consent to transcribe the conversations. The online workshop was
staged on the Collab online conferencing platform (https://collabvirtual
world.com) and attracted 60 delegates, mainly coworking operators
along with a small number of researchers and policy-makers. This began
with a presentation of emerging findings after which participants were
asked to join one of a selection of “virtual tables” where members of the
research team led structured break-out discussions as one might do in a
global caf´e style event. Focus group participants were recruited through
an email to members of the Rural Services Network, a membership
organisation for rural Local Authorities and associated rural develop-
ment stakeholders. Each focus group was conducted on Microsoft Teams
with three members of the research team joined by 11 participants split
across two sessions.
Thematic analysis of the interview transcripts, focus groups and
workshop notes focused on key themes of coworking practices, intra-
group networks, wider connections within and beyond the rural econ-
omy, the impacts of Covid-19 and the role of technology. For this paper,
we focused principally on the interview data and analyse the transcripts
to draw out references to “internal collaboration and networks” and
“external networks and spillover effects”. Quotations were collected that
picked up both positive and negative features relating to each broad
theme and then arranged according to secondary themes of social or
economic factors, formal or informal networks and the degree to which
place was important in shaping the activities or networks being
analysed.
4. Findings
The sample of coworking spaces identified a wide range of organi-
sations with different business models, premises, clientele and future
aspirations. These ranged from social enterprises focusing on the needs
of small local communities through to wholly for-profit ventures with
growth plans across multiple settlements. We also spoke to operators of
coworking retreats that were more targeted towards digital nomads at
the national and even international scale as well as some in larger towns
and cities who served a heavily rural region and others in much smaller
and more remote locations. A summary of the 16 interviewees is pro-
vided in Table 1.
Although it is possible to identify a number of different coworking
models across the operators we interviewed (Author et al., 2022), this
section focuses on common elements of coworking that nurture sup-
portive networks and community identities internally, while building
extensive connections that help to develop their external profiles. Before
JournalofRuralStudies97(2023)550–559553G. Bosworth et al.
Table 1
Interview sample characteristics.
Interviewee
(pseudonym)
Location type
Type of Organisation
Annie
Ben
Connie
David
Ernie
Freddy
Graham
Harriet
Ian
Julia
Kenny
Louise
Martin
Neil
Olive
Peter
Rachel
Small city
Open
countryside
Village
2 Market
towns
Market town
Village
Market town
Village
Small city
Island town
Market town
Village
Market town
Market town
Market town
2 village
locations
Village
Non-profit
Private limited company
Private limited company
Private limited company
Private limited company
and social enterprise
Family business
Local Authority
Family Business
Community Interest
Company
Part of a private limited
company
Private company
Private company
Private company
Private limited company
Private company
Private company
Opened/
registered
2020
2016
2019
2017
2012
2020
2009/10
2021
2017
2018
2016
2017
2020
2021
2017
2013
Informal group
2020
exploring these networks, it is important to contextualise the research in
relation to the importance of the rural location as portrayed among
coworking operators. The interviewees identified both nature-based and
community-based values for co-workers, for whom connections with the
environment has been shown to benefit their wider well-being too
(Merrell et al., 2022). Whether moving into rural areas or already
embedded in the locality, many operators were very passionate about
the location as highlighted in the selected quotations below:
“We set it up in the countryside because we had identified … that
people actually wanted to not just go [to the countryside] for the
weekend or for a holiday but actually spend a longer amount of time,
and if they could they’d like to work on their projects outside of the
city. So we developed it as a way to help people escape the city”
(Louise)
“You don’t just get a nice desk. You get an AONB landscape out your
window and wetlands habitat and opportunity to plant trees or
whatever it might be. I think being out in the countryside around
green space can help with productivity [and] creative thinking”
(Neil)
“One of the advantages that we really have here is that we’re on the
coast and that in your lunch hour you can walk down to the beach
and have your picnic lunch there” (Harriet)
And operators were well aware of the marketing potential that rural
locations offered too:
“We definitely play on our rustic feel, like we can’t offer sleek city
centre kind of facilities. This is very much a country house with views
of the [mountains] and I guess it’s the location that sells it but the
house itself is rustic … so to be honest it kind of suits my style.”
(Connie)
Emphasising the distinctiveness of the location as a strong base from
which to communicate with the wider world is a good example of how
the Network Society can empower rural places to take advantage of their
distinctive characteristics. While urban coworking spaces may be rela-
tively homogenous, focusing on hi-spec and hi-tech office space that is
familiar to mobile workers wherever they happen to be, rural spaces
have the scope to position themselves differently. First impressions from
our research sample indicated that creating the “buzz” of urban loca-
tions requires alternative approaches to community-building as well as
efforts to raise awareness about coworking. These differences give rise to
a number of questions to explore, in terms of how these distinctive
identities are formed and the extent to which they are inclusive and
representative of their wider communities.
4.1. Internal networking
The literature on networking among rural firms and co-workers in-
dicates that simply being close together does not guarantee collabora-
tion, but it provides a foundation for new connections to emerge.
Therefore, in addition to functional responsibilities, a key role for
coworking operators is to promote an entrepreneurial and supportive
culture within their organisation. As David observed “We always find
that people think they need a desk and Wi-Fi and when people are in what
keeps them in is the community.”
The consensus among interviewees was that collaboration cannot be
forced upon people, only facilitated, but it was very rewarding for
founders when this worked:
“One of the nicest parts of running a coworking space is seeing those
connections being made and facilitating it, or it happening auto-
matically. It’s very enjoyable. I love that. I love when people interact
and they find each other and it works out and it’s very positive”.
(Ben)
The value of softer networks was illustrated by interviewees referring
to “socializing” more than business networking. Examples included the
value of being able to share the success of winning a new contract
(online workshop conversation), sharing the frustration of IT problems
(Rachel) or simply the need for companionship:
“[One member], he comes just for company really. But he needs
complete silence to work so he has his own office then comes down
for coffee and lunch to meet everyone. We have a couple of people
that just like to come in and know that there’s people to speak to if
they need to, but they just find their own space. And then the rest of
us come in and chat and then we work and then we chat a little bit
more and then we work again.” (Connie)
This culture was reinforced by another interview with a founder of a
high street coworking venue who described one member being “a little
bit too pushy” when it came to business networking:
“There’s one member … he wants us to have lunches where we talk
about what we do and maybe share some presentations, but [among
the wider group] it’s quite overwhelmingly an interest in socialising
and not talking about your business … and that actually becomes a
little bit of a thing because he’s not interested in socialising, he wants
to talk business and nobody else wants to.” (Annie)
Later in the same interview Annie said: “We always kind of look to
who’s in our building first when we look for collaborators. And I also think
that very much draws people to us”, highlighting that collaborative
working for mutual gain is part of their aspiration – but there is a
culturally acceptable way to facilitate it. A second example from Scot-
land identified similar collaborations that support members to bid for
larger contracts: “we’ve formed a consortium … together we are able to bid
for contracts. A lot of these contracts come along and you need to have
something like £5 million worth of public liability, or some kind of insurance
that is vast sums. And none of these individuals will have it whereas we’ve got
it” (Ian). Stimulating this type of collaboration was also important for
Local Authority focus group participants who are looking at how cow-
orking might translate into rural economic growth.
Whether providing a supportive social environment or actively
facilitating collaborative working, there is no prescription for what
makes an entrepreneurial culture. It might be relaxed, professional,
focused, sociable or collaborative, each requiring different combinations
of events, branding and spaces to support their members. The selection
of furniture, the layout of the venue and d´ecor of rooms all contribute to
JournalofRuralStudies97(2023)550–559554G. Bosworth et al.
the identity of the coworking group, often reflecting the attitudes of the
founders:
“Everything is community for us. We use second-hand furniture as
much as possible for environmental reasons [and] … so we don’t
spend millions of pounds on fitting out space. We’d much rather
spend that money on activities that happen within the space.”
(David)
“It was important for us to have a variety of workspace types … that’s
why we had this caf´e type space. That’s where people can be more
social. They can have little meetings, little coffee meetings, either
with their colleagues or for a break. The library is also more of a
shared space, a little bit more casual. But then we have the really
dedicated workspaces” (Louise)
“We’re professional but we’re not formal” (Harriet)
This focus on “community”, as something over and above the
fundamental provision of ICT, is a clear example of Castells’ argument
that nodes within the Network Society are defined by their internal
cultural identity. The functional or tangible elements of the service are
largely homogenous so can be accessed anywhere, but social capital and
community identity are seen by the coworking founders/managers as
being unique. In the case of founders who work in the space, it is often a
personal reflection of their own working culture too. Without this, the
homogeneity of a single Global Network Society becomes the dominant
trope of how new (digital) technologies influence working practices but
the response among coworking operators appears to engender a clear
desire for diversity.
Following this logic, spaces designed to facilitate different types of
behaviour and interaction are paramount to the success of coworking
spaces and consistently it was the kitchen area that was most discussed.
This is where people are “off-duty” and relaxing as themselves, so the
tone of the conversation is different and people become more open and
more interested in each other since the pressure of the next task, the next
phone call or next email is in another room:
“[the kitchen] should be the heart of a coworking space because
that’s where everyone collaborates and talks, and that should be
right in the middle of the building and it should be where everyone
goes and you should base everything around that coffee pod. (Ernie)
“In [the local region] you meet people in their kitchens so we
designed the front of the office to be a kitchen. So we’ve got a new
dishwasher, we’ve got the toaster, we’ve got everything else in there.
People come in and have their breakfast … That’s where you learn
stuff” (Ian)
As well as internal network building, common spaces allow for non-
members to see the coworking space and for new users or event at-
tendees to interact with established members. Breakfast clubs, caf´e’s
open to the public and rooms dedicated to community functions all
provided opportunities for events to widen the reach of the venue.
Where co-workers were able to host external guests, this also helped to
build a sense of community ownership among members (David). So long
as external events were not disruptive for co-workers, they become a key
foundation for external network connections.
4.2. Building external networks
Coworking spaces represent new network nodes that can strengthen
connections between rural and urban economies. A particular example
was cited in Scotland where bringing together sole-traders or very small
businesses allowed them to bid for larger projects outside of their lo-
cality (Ian). Not only did this help others realise that a geographically
peripheral business location was not a barrier to working further afield,
but it is also provides a practical demonstration of how internal net-
works can be leveraged externally. While the internal dynamics of the
coworking “node” are critical for generating the scale of activity and
cultural distinctiveness to engage in complimentary and reciprocal
learning within the Network Society (Castells, 2004), interviewees were
equally aware of their wider responsibilities. These include business
support programmes, networking events, boosting trade for other local
businesses and engaging in wider outreach activities. A number of
comments capture this mentality:
“We actively try and do stuff outside of our four walls which is why
we’ve recruited, two years ago we recruited an outreach manager. It
was her job to go out and run courses for people, so it’s a big part of
what we do.” (Ernie)
“We have a lot of partnerships with local businesses … I don’t think
it’s a nice thing to have a project in the community where you don’t
interact with the community” (Louise)
“We don’t just want our spaces being another coworking space,
we’re really set on a mission to make our spaces the hub of the
ecosystem … we work really hard to try to get that set in people’s
minds that it becomes a functional hub for the stakeholders” (David)
In some cases, building external networks to support rural economic
development was part of the founding principle of establishing a cow-
orking space too:
“The decision to start a rural hub really came from part of our pur-
pose which is to improve the connections between rural and urban
entrepreneurs, to see some of their learning spread a little bit further
than just within the city, [and] to see the rural entrepreneurs
benefiting from what’s happening in the vibrant start-up scene,
which is often city based” (Olive).
The bridging role of coworking spaces encompasses both the urban-
rural scale and more local connections beyond the traditional digital or
creative freelancer groups of co-workers. One opportunity at the local
scale is presented by the anticipated growth of homeworking among
salaried employees who are seeking to reduce their commuting fre-
quency following the impacts of the Covid-19 pandemic. This potential
new source of demand was a foundation of Neil’s business model and a
major topic of conversation in the research workshop sessions. From a
Local Authority perspective, potential new demand stimulated enthu-
siasm to promote coworking as part of a regeneration strategy to raise
the profile and appeal of small towns and failing High Streets. Although
there were mixed opinions about the role of the public sector as risk-
taking founder or arms’ length facilitator, there was optimism that
small town coworking could boost the footfall on the High Street and
support other town centre businesses.
Despite positive ambitions and rhetoric around the wider value of
coworking spaces, only one attempted to quantify their contribution:
“It’s bringing people here, has a pretty big impact so I estimate that
for the local business every year we generate about €1.2 million for
accommodation, for food, for transportation, for stuff that people
buy here.” (Kenny)
More typical, were comments such as:
“These people come here, spend money, spend time, accommoda-
tion, other services … I think we are a very good addition to the
landscape of [our] area” (Martin)
Beyond financial benefits, the research identified a variety of con-
tributions yielding more social value. A good example is Peter, the
founder of a rural coworking and co-living destination, who explained
that they involve local retired people in events because “they don’t need
the money … they need conversations.” Peter and his business partner have
also set up an educational programme where they “teach the skills of
digital nomads to people who want to become digital nomads” because “we
want to teach people who don’t want to leave their villages to work, but to
stay at home.” In a Network Society sense, the growth of digital
JournalofRuralStudies97(2023)550–559555G. Bosworth et al.
nomadism is an illustration that the urban-rural connectivity can be a
two-way dynamic where people chose to visit rural locations for certain
types of work. Thus, the rural coworking venue is not solely a mecha-
nism to reduce out-commuting from rural places but also a location that
attracts inward commuters that strengthens its role as a node linking
(rural and urban) places together.
The chance to support young people was echoed by Neil who felt that
they struggle to access to the same training and career development
opportunities as people in the big cities and recognised coworking as
part of a solution that offers “a stepping-stone to seeing new career op-
portunities [and] … a real opportunity for rural areas.” The sense that
coworking is a point of connection between places reflects the Network
Society but it also extends to a psychological connection where rural
places can be perceived as being less isolated and offering greater
equality in terms of access to skills and skilled employment.
Once the purpose and identity of a rural coworking space is under-
stood as something distinctive and place-based, the opportunity for a
range of community-focused activities emerge – both promoting the
space to other potential users and helping to develop a unique identity.
For example, another recent start-up explained her social values in
relation to future development plans:
“There’s another building that I want to refurbish … we were kind of
thinking like a gallery or an exhibition space or something for artists
or creatives … they could run workshops there because we’ve
already got a link with a local artist and she’s keen to set up chil-
dren’s activities and then also do a programme for 16-24 year-olds
that aren’t engaging that well with school. So that kind of thing …
as well as the desks I’d like to be doing some projects that actually
help people as well” (Harriet)
While Harriet and her family are firmly embedded in the local area,
and approach the community function from that perspective, an in-
comer in a similarly remote location gave an interesting perspective on
the integrative function that coworking can play.
“90 per cent, maybe even 95 per cent of the people who use the
Business Hub are incomers. I don’t know whether locals just feel like
they don’t need it because they’ve got enough contacts and they
know enough places where they can find space to work themselves,
so it’s the people who don’t have those connections in the commu-
nity who are coming to me. And I’m an incomer myself.” (Julia)
These examples highlight the potential for coworking spaces to
provide the connectivity and access to networks that are essential to the
Network Society. The combined social and technological functions also
highlight how this application of Network Society thinking is
commensurate with “Smart” rural development.
As well as highlighting the local/extra-local connections promoted
by coworking, the final quotation also opens up a new set of questions
about the inclusiveness of rural coworking. In the early phases of
development, and with the need to build communities of users, it ap-
pears inevitable that some cliques will emerge and not all people will
feel able to participate. This is where the variety of rural coworking
models can broaden3 accessibility far more than the corporate struc-
tures that have predominated in big cities. Introducing a range of social
and community activities that welcome different people into coworking
venues offers the potential to build new connections among increasingly
mobile, but less cohesive, rural populations. The inclusiveness of indi-
vidual coworking spaces is a question for future research with co-
workers but the variety of local spaces as interconnected and heterog-
enous nodes aligns with Castells’ conceptualization of cultural nodes in
the Network Society.
5. Discussion: conceiving diverse impacts for rural places
The two areas of findings have highlighted that network relation-
ships are critical to the development of rural coworking. In each case,
facilitation of soft, informal networks is a key role for coworking oper-
ators that was supported by a range of strategies from the design of the
space, particularly communal spaces like kitchens, the staging of events
(including some that were online during the pandemic) and the creation
of a collective identity that engages co-workers. As in urban coworking
spaces, collaboration and innovation occur through serendipitous
meetings of like-minded people, not through formal networking meet-
ings or hard-sell approaches. The difference in rural coworking spaces
arises when communities of users develop particular identities, often
based around place and nourished by the efforts of managers to create
distinctive community identities. As a result, rural coworking venues
become more heterogenous, shaped by combinations of social, cultural
and environmental factors, and represented through the interactions of
co-workers in different settings. The local environment, the character-
istics of the building itself, the range of non-business activities, the
personal characteristics of the owner and their ambitions to grow or
diversify the membership all contribute to a particular feel for each
venue. This was evident in the marketing messages of coworking web-
sites too, where quotations frequently drew on their location to
communicate opportunities to interact with nature, to socialise and to
enhance well-being:
“Pack your swimming trunks, take your to-do list and then nothing
like going out to the country”
“There is nowhere else can you surf in the morning and be in central
London by lunch time. This is a pure manifestation of the perfect
work/ life balance we all strive for”
“We want the freelancers that ultimately form the creative group at
NAME to feel like family”
“With its own garden, high ceilings, lots of light, natural finishes and
loads of plants, NAME is an energising, enjoyable place to work”
“You will gain inspiration while you work, and exchange experi-
ences, tips, ideas and contacts”
Through the examples here, aspects of creativity, inspiration and
collaboration are evident, but all were presented as part of something
more holistic in terms of the work/life experience that coworking can
provide. To realise this, coworking operators have to provide the right
working spaces, complete with both social and technological in-
frastructures – the twin pillars of smart rural development in microcosm.
Each pillar has implications for the internal and external network
structures, and the communications that evolve within and beyond
coworking spaces. In other words, the social and technological context
of rural coworking shapes the ways in which co-workers engage in the
Network Society and influences the balance of local and external factors
that shape business opportunities and identities.
The economic spillovers, although hard to quantify, appeared to
stem from building a community of co-workers with a sense of
connection to their locality. Through this, businesses are able to
collaborate with another and recognise opportunities to work with other
local firms. Business events and training, as well as more community-
focused events in some venues, all expanded the social networks
around coworking spaces, increasing their external visibility and often
building a sense of identity within the group – the local culture that
emerges provides a sense of autonomy and empowerment aligned with
that of the Network Society. The importance of the collective, can also
be explained in game-theory terms since if all members sought to exploit
the group for business growth, the working environment would become
a deterrent. In reality, the only way to foster collaboration over time is to
prioritise and develop the collective well-being of the group.
Shifting the locus of networking from corporate to community spaces
raises a number of questions about the agency of individuals within
social networks (Taselli and Kilduff, 2021); particularly the extent to
which they actively build new connections that spark the potential for
innovation and new network configurations. Where home-workers and
JournalofRuralStudies97(2023)550–559556G. Bosworth et al.
entrepreneurs interact in rural coworking spaces, the locality affords a
common frame of reference and shared identity out of which new ideas
can emerge. If these ideas are place-dependent, bringing characteristics
of a rural location to the fore, the cultural identities that evolve might
become new “trenches of autonomy” (Castells, 2004) that can sustain
rural social innovation as well as profit-motivated entrepreneurship. In
essence, where agency shifts to the local level, yet the actor remains
influentially connected into wider networks, this reflects the philosophy
of neo-endogenous development too (Ray, 2006).
Re-engaging with Network Society theory is especially timely
because of the new connections to ‘place’ deriving from the Covid-19
pandemic (Newman, 2020). In some interpretations, the Network So-
ciety emphasises networks to the detriment of places (Zhen et al., 2020)
where, rather than being in the right place, being in the right network
counts (Anttiroiko, 2016). Here, we argue that such a dichotomy be-
tween place and networks can be bridged by new remote-working and
coworking practices that build and sustain new network connections
within rural places while strengthening and extending connections
beyond. Furthermore, creating these new nodes offers significant po-
tential
innovation,
opportunity-creating and professional support networks associated with
agglomeration (relatively homogenous) while simultaneously strength-
ening heterogeneous, place-based identities and social networks that
capture distinctive qualities of their rural context.
rural communities
replicate
the
for
to
The growing diversity of rural businesses in the UK context has been
linked with professional incomers and rural returnees (Kalantaridis and
Bika, 2011; Stockdale, 2015). These mobile professionals (Keeble and
Nachum, 2002) and members of the rural creative class (Herslund,
2012) are better equipped to draw on valuable experience and con-
nections beyond the constraints of the local rural context (Bosworth and
Bat Finke, 2020); a feature aided by advances in communications
technology across rural areas. However, not all forms of employment
can benefit from digitalisation and the new ways of working that this
enables, with a notable divide between knowledge intensive and manual
occupations for example (Dingel and Neiman, 2020).
Throughout the Covid pandemic, the housing market has seen
increased demand for rural living, indicating that remote working
practices are likely to increase in popularity. Combined with the
continuing spread of online working and education, this likely to result
in further decentralisation of skilled work, with migration more aligned
to lifestyle choices and natural amenity values associated with the rural
creative class (McGranahan and Wojan, 2007) rather than proximity to
workplaces. On one hand, this offers opportunities for coworking, as
identified by several research participants, but it also reinforces the
perception that coworking is exclusively for mobile professionals and
skilled workers. In the Network Society, Castells framed this in terms of
differences in education and a person’s ability to work in the informa-
tion economy, not as class conflict (Ampuja and Koivsito, 2014). This is
reinforced by findings from research into homeworking during the
Covid-19 pandemic too, where personal and household factors were key
factors determining changes in worker productivity (Felstead and
Reuschke, 2021; Hackney et al., 2022; Kitagawa et al., 2021). Given that
there are multiple factors that influence workers’ productivity and their
ability to participate equally in new ways of working, there is a risk that
localised professional networks lead to a two-tier rural society with
increased social and economic inequalities.
Rural coworking is a possible cause and a possible solution to this
problem. The research has identified that many coworking spaces pro-
vide opportunities for community activities, training and inclusion. This
is essential to avoid the perils of “network immiscibility” (Bosworth and
Venhorst, 2018) where, just like the chemical properties of oil and
water, networks may co-exist in a place but they require catalysts to
stimulate new interactions to bridge between different sub-groups.
Where coworking spaces adopt an integrating role, they can facilitate
the human, social and financial capital in their networks to contribute to
local development. By contrast, if they become exclusive professional
spaces more integrated into urban economies, they will exacerbate the
marginalisation of other sections of rural society less equipped to
participate in the Network Society, perhaps lacking (access to) digital,
social or professional skills. As rural coworking evolves, the challenge
for operators and policymakers will be to ensure that other parts of the
rural economy can benefit, even if they are not active in coworking
themselves.
6. Conclusions
As creative industries and knowledge-intensive business services
continue to grow in rural areas (Townsend et al., 2017; Johnston and
Huggins, 2016), facilitated by improved digital connectivity (European
Commission, 2020; Ofcom, 2020) and the opportunity to work outside
of congested, costly city locations, they are likely to shape the next phase
of rural coworking development. In a post-Covid economy, there is
every likelihood that rural residential preferences and digitally-enabled
homeworking will fuel further demand for coworking too (McKinsey,
2021). Such a shift could challenge certain urban-centric assumptions of
the Network Society based on the greater density of flows of people,
knowledge and ideas that can fuel urban economic growth. Instead,
rural regions can be supported in catching up with their urban coun-
terparts if these flows of resources become increasingly accessible to
rural entrepreneurs. As evidenced by those participating in our research,
this can be facilitated through enhanced communications technologies,
personal mobility and extensive networks.
Rural coworking spaces can play important roles in elevating their
localities to become more significant network nodes, combining local
and extra-local networks around a space that depends upon both social
and digital infrastructures. Conceptually, this emphasis on social and
technological processes confirms that coworking can be an integral
component of smart rural development too (Naldi et al., 2015). The
potential for innovative mixing between sectors and professions adds a
further dimension to rural coworking as a driver of new economic op-
portunities. By fulfilling a combination of functions, they can be
simultaneously remote network bridges connecting urban centres and
urban firms and they can integrate rural economy actors into new
networks.
If, as a consequence of Covid-19, increased remote working becomes
the norm to the extent that we conceive of ‘remote employers’ rather
than ‘remote workers’, it is likely that the co-worker with rural business
connections will be strongly positioned. Conversely, if the growth of
remote working wanes, the potential functions of rural coworking nodes
become less clear. We argue that a critical mass of human and social
capital operating in rural places is integral to the development of cow-
orking spaces as hubs for enterprising businesses. Through improved
connectivity, which may take the form of better physical infrastructure
or digital networks, rural areas are then better able to draw on a wider
array of resources, which, in turn, can be leveraged to enhance the
attractiveness of rural places and generate new economic activities. If
resulting forms of entrepreneurship are socially embedded and digitally
enabled, they can contribute to new dynamics of smart rural develop-
ment that valorise spatial diversity (Naldi et al., 2015).
Our paper has sought to re-invigorate the Network Society by
applying its core ideas in the context of dominant place-based and
“smart” rural development paradigms. This has revealed significant
opportunities to promote new networks built around the social and
technological needs of contemporary ways of working. Moreover, the
strategies of rural coworking operators highlight the importance of
identity, or “cultural distinctiveness” (Castells, 2004), in addition to the
connectivity and openness to engage in heterogenous networks that
characterise the Network Society. The research has also identified a
challenge for rural policymakers and coworking operators to facilitate
networks that bridge spatial, social and skills divides while supporting
local cohesion and integration. We suggest that the most promising
avenues to achieve this require rural coworking spaces to enhance their
JournalofRuralStudies97(2023)550–559557G. Bosworth et al.
place-based distinctiveness by providing services to more isolated and
marginalised groups, as well as the essential facilities and network
brokerage demanded by rural co-workers.
Author statement
Gary Bosworth: Funding acquisition, Conceptualization, Method-
ology, Investigation, Original draft. Jason Whalley: Conceptualization,
Reviewing and editing. Anita Fuzi: Methodology, Investigation. Ian
Merrell: Investigation, Reviewing and editing. Polly Chapman: Meth-
odology, investigation, Reviewing and editing. Emma Russell: Funding
acquisition, Reviewing and editing.
Declaration of competing interest
The authors declare that they have no known competing financial
interests or personal relationships that could have appeared to influence
the work reported in this paper.
Data availability
Data will be made available on request.
Acknowledgements
We would like to acknowledge the Digital Futures at Work Research
Centre (Digit) for their funding and support throughout the project.
References
Akhavan, M., Mariotti, I., Rossi, F., 2021. The rise of coworking spaces in peripheral and
rural areas in Italy. Territorio - Sezione Open Access (97-Supplemento). https://doi.
org/10.3280/tr2021-097-Supplementooa12925.
Ampuja, M., Koivisto, J., 2014. From “post-industrial” to “network society” and beyond:
the political conjunctures and current crisis of information society theory. TripleC 12
(2), 447–463.
Anderson, A., Dodd, S., Jack, S., 2010. Network practices and entrepreneurial growth.
Scand. J. Manag. 26, 121–133.
Anttiroiko, A.-V., 2016. Castells’ network concept and its connections to social, economic
and political network analyses. J. Soc. Struct. 16, 1–18.
Atherton, B., 2016. The rise and rise of the tech-savvy sole trader, Xero blog. Accessed
23rd February 2022 at: https://www.xero.com/blog/2016/01/the-rise-and-rise-of-th
e-tech-savvy-sole-trader/.
Baker, S., Warburton, J., Hodgkin, S., Pascal, J., 2017. The supportive network: rural
disadvantaged older people and ICT. Ageing Soc. 37, 1291–1309.
Benneworth, P., Charles, D., 2005. University spin-off policies and economic
development in less successful regions: learning from two decades of policy practice.
Eur. Plann. Stud. 13 (4), 537–557.
Bock, B., 2016. Rural marginalisation and the role of social innovation; a turn towards
nexogenous development and rural reconnection. Sociol. Rural. 56 (4), 552–573,
2016.
Bosworth, G., Bat Finke, H., 2020. Commercial counterurbanisation and the changing
roles of rural businesses. Environ. Plann. 52 (3), 654–674.
Bosworth, G., Turner, R., 2018. Interrogating the meaning of a rural business through a
rural capitals framework. J. Rural Stud. 60 (1), 1–10.
Bosworth, G., Venhorst, V., 2018. Economic linkages between urban and rural regions
what’s in it for the Rural? Reg. Stud. 52 (8), 1075–1085.
Camagni, R., 1995. The concept of innovative milieu and its relevance for public policies
in European lagging regions. Pap. Reg. Sci. 74 (4), 317–340.
Castells, M., 2004. The Network Society: A Cross-Cultural Perspective. Edward Elgar,
Cheltenham.
Champion, T., Coombes, M., Brown, D., 2009. Migration and longer-distance commuting
in rural england. Reg. Stud. 43 (10), 1245–1259.
Clark, P., 2020. Here’s what the Office of 2021 Should Look like, 6 December. Financial
Times available at: www.ft.com.
Clifton, N., Füzi, A., Loudon, G., 2019. Coworking in the Digital Economy: Context,
Motivations, and Outcomes Futures, 102439. https://doi.org/10.1016/j.
futures.2019.102439.
Copus, A., Skuras, D., 2006. Business networks and innovation in selected lagging areas
of the European union: a spatial perspective. Eur. Plann. Stud. 14 (1), pp79–93.
Cowie, P., Townsend, L., Salemink, K., 2020. Smart rural futures: will rural areas be left
behind in the 4th industrial revolution? J. Rural Stud. 79, 169–176.
Dahl, M., Sorenson, O., 2020. Will Covid-19 Take the Air Out of Silicon Valley?
Entrepreneur & Innovation Exchange, 2020. https://doi.org/10.32617/586-
5fdfae3ca0cbf. Published online at EIX.org on December 20th.
Davidsson, P., 2015. Entrepreneurial opportunities and the entrepreneurship nexus: a re-
conceptualization. J. Bus. Ventur. 30, 674–695.
De Massis, A., Kotlar, J., Wright, M., Kellermanns, E.W., 2018. Sector-based
entrepreneurial capabilities and the promise of sector studies in entrepreneurship.
Enterpren. Theor. Pract. 42 (1), 47–69.
Dingel, J., Neiman, B., 2020. How many jobs can be done at home? National Bureau of
Economic Research. Accessed 14th February 2022 at: https://www.nber.org/papers
/w26948.
European Commission, 2020. Digital Economy and Society Index accessed 26th February
2022 at: https://digital-strategy.ec.europa.eu/en/policies/desi.
Feldman, M., Guy, F., Iammarino, S., 2020. Regional income disparities, monopoly and
finance. Camb. J. Reg. Econ. Soc. 14 (1), 25–49.
Felstead, A., Reuschke, D., 2021. A flash in the pan or a permanent change?. In: The
Growth of Homeworking during the Pandemic and its Effect on Employee
Productivity in the UK. Information Technology and People, pp. 1–22. https://doi.
org/10.1108/ITP-11-2020-0758.
Fiorentino, S., 2019. Different typologies of ‘coworking spaces’ and the contemporary
dynamics of local economic development in Rome. Eur. Plann. Stud. 27 (9),
1768–1790.
Fisker, J.K., Kwiatkowski, G., Hjalager, A.M., 2021. The translocal fluidity of rural
grassroots festivals in the network society. Soc. Cult. Geogr. 22 (2), 250–272.
Florida, R., Rodrıguez-Pose, A., Storper, M., 2020. Cities in a post-COVID world, papers
in evolutionary economic geography (PEEG). Accessed 5th December 2022 at:
http://econ.geo.uu.nl/peeg/peeg2041.pdf.
Füzi, A., 2015. Coworking spaces for promoting entrepreneurship in sparse regions: the
case of South Wales. Regional Studies, Regional Science 2 (1), 462–469.
Gerli, P., Whalley, J., 2022. Digital entrepreneurship in a rural context: the implications
of the rural-urban digital divide. In: Keyhani, M., Kollmann, T., Ashjari, A.,
Sorgner, A., Hull, C.E. (Eds.), Handbook of Digital Entrepreneurship. Edward Elgar,
Cheltenham, UK.
Gerli, P., Matteuci, N., Whalley, J., 2020. Infrastructure provision on the margins: an
assessment of Broadband Delivery UK. Int. J. Publ. Adm. 43 (6), 540–551.
Glaeser, E., 2021. Urban Resilience. National Bureau of Economic Research,
p. WP29261. Accessed 23rd February 2022 at: www.nber.org/papers/w29261.
Gruber, S., Soci, A., 2010. Agglomeration, agriculture and the perspective of the
periphery. Spatial Econ. Anal. 5 (1), 43–72.
Grubesic, T.H., Mack, E.A., 2017. Broadband Telecommunications and Regional
Development. Routledge, London, UK.
Hacker, K., Mason, S., Morgan, E., 2009. Digital disempowerment in a network society.
Int. J. Electron. Govern. Res. 5 (2), 57–71.
Hackney, A., Yung, M., Somasundram, K.G., Nowrouzi-Kia, B., Oakman, J., Yazdani, A.,
2022. Working in the digital economy: a systematic review of the impact of work
from home arrangements on personal and organisational performance and
productivity. PLoS One 17 (10), e0274728.
Helsper, E.J., van Deursen, A.J.A.M., 2017. Do the rich get digitally richer? Quantity and
quality of support for digital engagement. Inf. Commun. Soc. 20 (5), 700–714.
Herslund, L., 2012. The rural creative class: counterurbanisation and entrepreneurship in
the Danish countryside. Sociol. Rural. 52 (2), 235–255.
Hill, I., 2022. Rural Arts Entrepreneurs’ Placemaking – How ‘entrepreneurial
Placemaking’ Explains Rural Creative Hub Evolution during COVID-19 Lockdowns.
In: Local Economy (in press).
Honig, B., Samuelsson, M., 2021. Business planning by intrapreneurs and entrepreneurs
under environmental uncertainty and institutional pressure. Technovation 2021,
102124.
Horlings, L., Roep, D., Mathijs, E., Marsden, T., 2020. Exploring the transformative
capacity of place-shaping practices. Sustain. Sci. 15, 353–362.
Houghton, K., Foth, M., Hearn, G., 2018. Working from the other office: trialling
coworking spaces for public servants. Aust. J. Publ. Adm. 77 (4), 757–778.
Johns, J., Hall, S., 2020. I have so little time [. . .] I got shit I need to do’: critical
perspectives on making and sharing in Manchester’s FabLab. Environ. Plann. 52 (7),
1292–1312.
Johnshton, Huggins, 2016. Drivers of university-industry links: the case of knowledge-
intensive business service firms in rural locations. Reg. Stud. 50 (8), 1330–1345.
Jordan, A., 2021. Best Payment Processors for UK Small Businesses – 11 of the Best, Small
Business, 18 October available at: https://smallbusiness.co.uk.
Kalantaridis, C., Bika, Z., 2011. Entrepreneurial origin and the configuration of
innovation in rural areas: the case of Cumbria. In: Environment and Planning A, vol.
43. North West England, 886-884.
Kane, K., Clark, 2019. Mapping the landscape of urban work: home-based businesses and
the built environment. Environ. Plann. 51 (2), 323–350.
Keeble, D., Nachum, L., 2002. Why do business service firms cluster? Small
consultancies, clustering and decentralization in London and southern England.
Trans. Inst. Br. Geogr. 27 (1), 67–90.
Kitagawa, R., Kuroad, S., Okudaira, H., Owan, H., 2021. Working from home and
productivity under the COVID-19 pandemic: using survey data of four
manufacturing firms. PLoS One 16 (12), e0261761.
Kolehmainen, J., Irvine, J., Stewart, L., Karacsonyi, Z., Szab´o, T., Alarinta, J.,
Norberg, A., 2016. Quadruple Helix, innovation and the knowledge-based
development: lessons from remote, rural and less-favoured regions. Journal of the
Knowledge Economy 7 (1), 23–42.
Korsgaard, S., Muller, S., Tanvig, H., 2015. Rural entrepreneurship or entrepreneurship
in the rural – between place and space. Int. J. Entrepreneurial Behavior and Research
21 (1), 5–26.
Kov´acs, J., Zolt´an, E., 2017. Rural enterprise hub supporting rural entrepreneurship and
innovation – case studies from Hungary. Eur. Countrys. 9 (3), 473-385.
Lorne, C., 2019. The limits to openness: coworking, design and social innovation in the
neoliberal city. Environ. Plann. 52 (4), 747–765.
JournalofRuralStudies97(2023)550–559558G. Bosworth et al.
Malecki, E.J., 1997. Technology and Economic Development: the Dynamics of Local,
Regional and National Competitiveness. Longman, Harlow.
Malecki, E., Moriset, B., 2008. The Digital Economy; Business Organization, Production
Ray, C., 2006. Neo-endogenous rural development in the EU. In: Cloke, P., Marsden, T.,
Mooney, P. (Eds.), The Handbook of Rural Studies. SAGE Publications Ltd), London,
pp. 278–291.
Processes and Regional Developments. Routledge, Abingdon, UK.
Reuschke, D., 2019. The subjective well-being of homeworkers across life domains.
Marcus, S., 2022. COVID-19 and the Shift to Remote Working. Policy Contribution 09/
Environ. Plann. 51 (6), 1326–1349.
22, June, Accessed 15 December at. https://www.bruegel.org.
Mason, C., Brown, R., 2014. Entrepreneurial ecosystems and growth oriented
entrepreneurship. Final Report to OECD, Paris 30 (1), 77–102.
Mazur, P., Duchlinski, P., 2020. Credibility and creativity in network society. Creativity
Studies 13 (1), 53–63. https://journals.vgtu.lt/index.php/CS/article/view/6585/
9626.
McGranahan, D., Wojan, T., 2007. Recasting the creative class to examine growth
processes in rural and urban counties. Reg. Stud. 41 (2), 197–216.
McKinsey, 2021. The future of work after COVID-19. Accessed 2nd February 2022 at:
www.mckinsey.com/featured-insights/future-of-work/the-future-of-work-after-c
ovid-19.
Merrell, I., Fuzi, A., Russell, E., Bosworth, G., 2022. How rural coworking hubs can
Reuschke, D., Clifton, N., Long, J., 2021. Remote Working - Spatial Implications in
Wales. In: A Report Commissioned by the Welsh Parliament. Accessed 5th December
2022 at: https://research.senedd.wales/research-articles/new-publication-remote-
working-spatial-implications-in-wales/.
Russell, E., Grant, C., 2020. Agile Working and Well-Being in the Digital Age. Palgrave
MacMillan, Cham, Switzerland.
Sadowski, B.M., 2017. Advanced users and the adoption of high-speed broadband: results
of a living lab in The Netherlands. Technol. Forecast. Soc. Change 1155, 1–14.
Salemink, K., Strijker, D., Bosworth, G., 2017. Rural Development in the Digital Age: a
systematic literature review on unequal ICT availability, adoption, and use in rural
areas. J. Rural Stud. 54, 360–371.
ˇ
ˇ
Sebestov´a, J.,
Sperka, R., Małecka, J., Łuczka, T., 2017. Coworking centres as a potential
facilitate well-being through the satisfaction of key psychological needs. Local Econ
36 (7–8), 606–626.
supportive network for cross-border business co-operation. Forum Scientiae
Oeconomia 5 (4), 23–34.
Mitchell, C., Madden, M., 2014. Re-Thinking commercial counterurbanisation: evidence
Shane, S.A., Venkataraman, S., 2000. The promise of entrepreneurship as a field of
from rural nova scotia, Canada. J. Rural Stud. 36, 137–148.
Mokhtarian, P., Bagley, M., 2000. Modeling employees’ perceptions and proportional
preferences of work locations: the regular workplace and telecommuting
alternatives. Transport. Res. Pol. Pract. 34, 643–675.
Mu˜noz, P., Kimmitt, J., 2019. Rural entrepreneurship in place: an integrated framework.
Enterpren. Reg. Dev. 31 (9–10), 842–873.
research. Acad. Manag. Rev. 25 (1), 217–226.
Shearmur, R., Doloreux, D., 2015. Central places or networks? Paradigms, metaphors,
and spatial configurations of innovation-related service use. Environ. Plann. 47 (7),
1521–1539.
Simonsen, K., 2004. Networks, flows, and fluids – reimagining spatial analysis? Environ.
Plann. 36 (8), 1333–1337.
Murdoch, J., 2000. Networks – a new paradigm of rural development? J. Rural Stud. 16,
Slee, B., 2019. Delivering on the concept of smart villages – in search of an enabling
407–419.
Murdoch, J., 2006. Networking rurality: emergent complexity in the countryside. In:
Cloke, P., Marsden, T., Mooney, P.H. (Eds.), Handbook of Rural Studies. Sage,
London, pp. 171–184.
Naldi, L., Nilsson, P., Westlund, H., Wixe, S., 2015. What is smart rural development?
J. Rural Stud. (40) 190-101.
Nambisan, S., 2017. Digital entrepreneurship: toward a digital technology perspective of
entrepreneurship. Enterpren. Theor. Pract. 41 (6), 1029–1055.
Nambisan, S., Wright, M., Feldman, M., 2019. The digital transformation of innovation
and entrepreneurship: progress, challenges and key themes. Res. Pol. 48 (8), 103773.
Nathan, M., Overman, H., 2020. Will coronavirus cause a big city exodus? Environment
and Planning B: Urban Analytics and City Science 47 (9), 1537–1542.
Newman, P., 2020. Covid, cities and climate: historical precedents and potential
transitions for the new economy. Urban Science 4 (3), 32.
OECD, 2018. Rural 3.0: a framework for rural development. Accessed 23rd at: https://
www.oecd.org/rural/rural-development-conference/documents/.
OECD, 2019. Skills outlook – thriving in a digital world. Accessed 23rd December at:
https://www.oecd-ilibrary.org/education/oecd-skills-outlook-2019_df80bc12-en.
Oestmann, S., Dymond, A.C., 2001. Telecentres—experiences, lessons and trends.
Telecentres: Case studies and key issues 1, 1–15.
theory. Eur. Countrys. 11 (4), 634–650.
Spinuzzi, C., 2012. Working alone together: coworking as emergent collaborative
activity. J. Bus. Tech. Commun. 26 (4), 399–441.
Steiner, A., Atterton, J., 2014. The contribution of rural businesses to community
resilience. Local Econ. 29 (3), 228–244.
Stockdale, A., 2015. Contemporary and ‘messy’ rural in-migration processes: comparing
counterurban and lateral rural migration. Popul. Space Place 22 (6), 599–616.
Stojmenova Duh, E., Kos, A., 2016. Fablabs as drivers for open innovation and co-
creation to foster rural development. In: International Conference on Identification,
Information and Knowledge in the Internet of Things. https://doi.org/10.1109/
IIKI2016.70.
Storper, M., 1997. Regional economies as relational assets. In: Lee, R., Wills, J. (Eds.),
Geographies of Economics. Arnold, London, pp. 248–258.
Tasselli, S., Kilduff, M., 2021. Network agency. Acad. Manag. Ann. 15 (1) https://doi.
org/10.5465/annals.2019.0037.
Tomaz, E., Moriset, B., Teller, J., 2021. Rural coworking spaces in the Covid-19 era. A
window of opportunity? Accessed 16th December 2021 at: https://halshs.archives-ou
vertes.fr.
Townsend, L., Wallace, C., Fairhurst, G., Anderson, A., 2017. Broadband and the creative
industries in rural Scotland. J. Rural Stud. 54, 451–458.
Ofcom, 2020. Connected Nations 2020 - UK report, 17 December, available at: www.ofc
Vallas, S., Schor, J.B., 2020. What do platforms do? Understanding the gig economy.
om.gov.uk.
Ohnmacht, T., Z’Rotz, J., Dang, L., 2020. Relationships between Coworking Spaces and
CO2 emissions in work-related commuting: first empirical insights for the case of
Switzerland with regard to urban-rural differences. Environmental Research
Communications 2 (12), 125004.
Paavonen, W., 1999. Telecottages and other work centre experiments. Telektronikk 95
(4), 64–68.
Phillipson, J., Tiwasing, P., Gorton, M., Maioli, S., Newbery, R., Turner, R., 2019. Shining
a spotlight on small rural businesses: how does their performance compare with
urban? J. Rural Stud. 68, 230–239.
Annu. Rev. Sociol. 46, 273–294.
Varnelis, K., 2008. Networked Publics. MIT Press, Cambridge, MA.
Wire, Property, 2020. Demand for homes in rural areas rises due to the pandemic.
available at: www.propertywire.com.
Zavratnik, V., Superina, A., Stojmenova Duh, E., 2019. Living labs for rural areas:
contextualization of living lab frameworks, concepts and practices. Sustainability 11
(14), 3797.
Zhen, F., Jia, T., Wang, X., 2020. How does castells’s the rise of the network society
contribute to research in human geography? A citation content and context analysis.
Prof. Geogr. 72 (1), 96–108.
JournalofRuralStudies97(2023)550–559559
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10.1007_s00428-018-2504-0.pdf
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Virchows Archiv (2019) 474:289–296
https://doi.org/10.1007/s00428-018-2504-0
ORIGINAL ARTICLE
A novel algorithm for better distinction of primary mucinous ovarian
carcinomas and mucinous carcinomas metastatic to the ovary
Michiel Simons 1
Leon F. Massuger 4 & Iris D. Nagtegaal 1
& Thomas Bolhuis 1 & Anton F. De Haan 2 & Annette H. Bruggink 3 & Johan Bulten 1 &
Received: 16 May 2018 / Revised: 21 November 2018 / Accepted: 3 December 2018 / Published online: 10 January 2019
# The Author(s) 2019
Abstract
Primary mucinous ovarian carcinomas (MOC) are notoriously difficult to distinguish from mucinous carcinomas metastatic to the
ovary (mMC). Studies performed on small cohorts reported algorithms based on tumor size and laterality to aid in distinguishing
MOC from mMC. We evaluated and improved these by performing a large-scale, nationwide search in the Dutch Pathology
Registry. All registered pathology reports fulfilling our search criteria concerning MOC in the Netherlands from 2000 to 2011 were
collected. Age, histology, laterality, and size were extracted. An existing database covering the same timeline containing tumors
metastatic to the ovary was used, extracting all mMC, age, size, laterality, and primary tumor location. Existing algorithms were
applied to our cohort. Subsequently, an algorithm based on tumor histology, laterality, and a nomogram based on age and size was
created for differentiating MOC and mMC. We identified 735 MOC and 1018 mMC. Patients with MOC were significantly younger
and MOC were significantly larger and more often unilateral than mMC. Signet ring cell carcinomas were rarely primary. Our
algorithm used signet ring cell histology, bilaterality, and a nomogram integrating patient age and tumor size to diagnose mMC.
Sensitivity and specificity for mMC was 90.1% and 59.0%, respectively. Applying existing algorithms on our cohort yielded a far
lower sensitivity. The algorithm described here using tumor histology, laterality, size, and patient age has higher sensitivity but lower
specificity compared to earlier algorithms and aids in indicating tumor origin, but for conclusive diagnosis, careful integration of
morphology, immunohistochemistry, and clinical and imaging data is recommended.
Keywords Mucinous ovarian carcinoma . Colorectal carcinoma . Metastasis . Algorithm
Electronic supplementary material The online version of this article
(https://doi.org/10.1007/s00428-018-2504-0) contains supplementary
material, which is available to authorized users.
* Michiel Simons
Michiel.Simons@radboudumc.nl
1 Department of Pathology, Radboud University Medical Center,
Nijmegen 6525, GA, The Netherlands
2 Department for Health Evidence, Radboud University Medical
Center, Nijmegen 6525, GA, The Netherlands
3
PALGA, The Nationwide Network and Registry of Histo- and
Cytopathology in the Netherlands, 3995, GA
Houten, The Netherlands
4 Department of Obstetrics and Gynecology, Radboud University
Medical Center, Nijmegen 6525, GA, The Netherlands
Introduction
It is well known that a considerable part of mucinous ovar-
ian carcinomas are in fact metastases, mainly from the gas-
trointestinal tract, pancreas, and gallbladder [1–4]. The dis-
tinction of primary mucinous carcinomas of the ovary
(MOC) and mucinous carcinomas metastatic to the ovary
(mMC) might be difficult and misdiagnosis has important
consequences for therapy. Chemotherapy regimens differ
between tumor types and advanced stage MOC are gener-
ally associated with a poor response to treatment [5].
Although certain histological features may be indicative
of primary or metastatic origin, these are often inconclu-
sive [6–9]. A classic immunohistochemical panel of CK7,
CK20, and CDx2 is usually considered helpful in indicat-
ing tumor origin, but unfortunately shows overlap in ex-
pression patterns in MOC and mMC [10–13]. Also, partic-
ularly MOC arising from teratomas are known to express a
more gastrointestinal phenotype [14].
290
Virchows Arch (2019) 474:289–296
Macroscopic features as size and laterality have also
been investigated. Unilaterality and large size is indicative
of MOC, while bilaterality is more suggestive of mMC
[7]. We have shown earlier that colorectal mMC are uni-
lateral in almost 60% of cases [1]. Despite this, these
macroscopic features have been proposed by various stud-
ies as discriminators between MOC and mMC. Seidman
et al. proposed an algorithm designating unilateral tumors
smaller than 10 cm and bilateral tumors as mMC, and
unilateral tumors of at least 10 cm in size as MOC [2].
Another algorithm by Yemelyanova et al. used a different
size cut off point of 13 cm [15]. These algorithms classi-
fied 90% and 87% of tumors correctly, and yielded a
sensitivity for mMC of 94.7% and 82%, respectively.
These algorithms should focus on a low rate of false neg-
ative patients with mMC, since misdiagnosis will lead to
withholding the diagnostic workup to identify a primary
tumor elsewhere with important therapeutic and prognos-
tic consequences.
Previous studies were performed on relatively small co-
horts. We aimed to evaluate these algorithms on a larger tumor
cohort and improve them where possible.
Materials and methods
Case selection: primary mucinous ovarian tumors
The nationwide network and registry of histopathology and
cytopathology in the Netherlands (PALGA) codes and
saves pathology reports in the Netherlands from 1971 with
nationwide coverage from 1991 [16]. We performed a na-
tionwide search for primary (micro-)invasive mucinous
ovarian carcinomas diagnosed between 2000 and 2011 in
the PALGA database obtained by complete resection. All
tumors of non-mucinous, mixed, and uncertain histology
were excluded. Tumors labeled Krukenberg tumors were
excluded from the MOC group, since this term refers to
metastatic signet ring cell carcinomas [17]. Tumors asso-
ciated with pseudomyxoma peritonei (PMP) were exclud-
ed. Any tumors of which origin was reported to be uncer-
tain were excluded. History of eligible patients was re-
quested at PALGA, and patients with a history of a gastro-
intestinal tumor regardless of histology, a mucinous tumor
regardless of location, and an adenocarcinoma NOS locat-
ed in the genital tract were excluded. For each patient, we
extracted the following items: age at time of diagnosis,
origin (primary or metastasis), histological subtype,
laterality, and size of the ovarian tumor. In case of bilateral
tumors, both largest and smallest sizes were registered if
available. In case of unilateral tumors, size was scored as
largest. If only one ovary was resected or reported, we
considered the tumor to be unilateral.
Case selection: mucinous tumors metastatic
to the ovary
A database containing mMC was created earlier. Details
about criteria for this database are described elsewhere
[1]. From this database, we extracted all tumors metastatic
to the ovary with histological proof of extra-ovarian origin
and mucinous histology. Additional macroscopic data were
requested at PALGA. Cases were excluded from this data-
base if tumor size mentioned in additional macroscopy and
conclusion was discrepant or if macroscopy contained any
information making it uncertain whether a tumor was pri-
mary or metastatic. For cases in this dataset, we addition-
ally extracted location of the primary tumor.
These data were combined to create a database containing
both MOC and mMC.
Statistical analysis
For cases with no data available for laterality or size,
multiple imputation was applied to estimate these values
to maintain cohort size and to avoid biased estimates in
the regression analyses. With this technique, multiple
complete datasets are created by drawing a value for the
missing values based on the estimated distribution. Each
dataset is analyzed and the results are combined [18].
Imputed variables and variables used for imputation are
shown in Online Resource 1. Twenty imputated datasets
were created.
We applied the algorithms described earlier on our da-
tabase to evaluate sensitivity, specificity, and number of
correctly classified cases.
To identify discriminating factors, logistic regression
was carried out for each step in the algorithm creation
process. Our approach was based on a high sensitivity
for mMC.
For creating nomogram scores, regression coefficients
B were calculated using logistic regression with the con-
tinuous variables age and largest size. For size and age, a
score Score(size + age) was calculated for nomogram crea-
tion. Details are found in Online Resource 2.
Statistical analysis was performed using IBM SPSS
statistics version 20.0. For comparison of means, two-
tailed t tests were performed, for comparison of frequency
distributions between categorical data χ2 tests were per-
formed. A p value < 0.05 was considered statistically sig-
nificant. ROC curves were used to determine optimal cut-
off points.
Virchows Arch (2019) 474:289–296
Results
Features of primary mucinous ovarian tumors
and tumors metastatic to the ovary
A total of 735 MOC and 1018 mMC were identified.
Laterality data was missing for 52 MOC (7.1%) and 84
mMC (8.3%); largest size data were missing for 129 MOC
(17.6%) and 312 mMC (30.6%). Patients with MOC were
significantly younger than patients with mMC (54.6 vs.
59.6 years; p < 0.01) and had larger tumors (19.0 vs.
12.0 cm; p < 0.01). Size and age distribution among patients
with MOC and mMC are depicted in Fig. 1. Patients with
MOC had unilateral tumors in 662 cases (90.1%) vs. 73
(9.9%) bilateral tumors, whereas patients with mMC had bi-
lateral tumors in 508 cases (49.9%) and unilateral in 510 cases
(50.1%) (p < 0.001). Signet ring cell carcinomas were more
often metastatic than primary (122 (98.4%) vs. 2 (1.6%);
p < 0.001). Bilateral tumors were more often metastatic than
primary (508 (87.4%) vs. 73 (12.6%); p < 0.001), whereas
unilateral tumors were primary in 662 cases (56.5%) and were
metastatic in 510 cases (43.5%). Characteristics before and
after imputation are shown in Tables 1 and 2, showing that
this led to no significant changes.
Comparison to earlier studies
Seidman et al. [2] classified tumors as MOC if they were uni-
lateral and ≥ 10 cm. In our cohort, 15.4% of tumors < 10 cm
were primary and 84.6% was metastatic. Tumors ≥ 10 cm were
primary in 52.5% and were metastatic in 47.5%. MMC were <
10 cm in 41.5% and ≥ 10 cm in 58.5%. Of MOC, this was
10.5% and 89.5%, respectively. On our data, the Seidman al-
291
gorithm has a sensitivity of 72.5% and a specificity of 82.4%
and of all 76.6% tumors were classified correctly.
Yemelyanova et al. [15] used 13 cm as a size cutoff point.
In our cohort, tumors < 13 cm were primary in 26.8% and
were metastatic in 73.2%. Tumors ≥ 13 cm were primary in
56.9% and were metastatic in 43.1%. MMC were < 13 cm in
56.8% and ≥ 13 cm in 43.2%. Of MOC, this was 21.1% and
78.9%, respectively. On our data, the Yemelyanova algorithm
has a sensitivity of 79.9% and a specificity of 73.6% and of all
tumors 77.2% were classified correctly.
Further test details for both algorithms are shown in
Table 3.
Optimizing algorithm
Logistic regression identified age, largest size, histology, and
laterality as significant independent predicting factors for
distinguishing MOC from mMC. Regression coefficients,
odds ratios, and 95% confidence intervals are displayed in
Online Resource 2.
Signet ring cell histology compared to non-signet ring cell
histology showed a sensitivity of only 12.0%, but a specificity
of 99.7% for indicating metastasis, with a positive predictive
value for metastasis of 98.4%. Comparing bilaterality to
unilaterality as a next step, after excluding signet ring cell
carcinomas, shows a sensitivity of only 48.1%, but a specific-
ity of 90.0% for indicating metastasis, with a positive predic-
tive value of 85.5%.
Based on the remaining cases, areas under the curve (AUC)
for largest size and age as a determinant of origin were 0.78
and 0.64, respectively. To test a combination of these two
variables, logistic regression including age and largest size
was carried out and rendered regression coefficient Bsize
Metastasis
Primary
Metastasis
Primary
)
m
c
(
e
z
i
S
60
40
20
0
100
80
60
40
20
0
)
s
r
a
e
y
(
e
g
A
60
40
S
i
z
e
(
c
m
)
20
0
100
80
60
40
20
0
A
g
e
(
y
e
a
r
s
)
120 100 80
60
40
20
0
20
40
60
80
100
120
60
40
20
0
0
20
40
60
Frequency
Frequency
Frequency
Frequency
Fig. 1 Frequency distribution for largest size (a) and age (b)
292
Virchows Arch (2019) 474:289–296
Table 1
Features of primary and metastatic mucinous ovarian carcinomas before imputation, age, and size expressed as mean
Parameter
Age
Histology
Location primary tumor
Laterality
Size (largest)
Total
Primary
%
Metastasis
%
Mucinous
Signet-ring cell
Appendix
Bladder
Breast
Cervix
Endometrium
Colon
Duodenum
Small intestine
Pancreas
Bile ducts/gallbladder
Esophagus
Stomach
Urachus
Left
Right
Bilateral
Unknown
54.6 ± 15.1
733
2
45.0
1.6
284
330
69
52
18.9 ± 7.9
735
56.6
54.1
13.7
38.2
41.9
59.6 ± 13.1
896
122
97
2
3
2
4
748
1
22
17
14
7
100
1
218
280
436
84
11.6 ± 6.4
1018
55.0
98.4
9.5
0.2
0.3
0.2
0.4
73.5
0.1
2.2
1.7
1.4
0.7
9.8
0.1
43.4
45.9
86.3
61.7
58.1
p value
< 0.001
< 0.001
< 0.001
< 0.001
0.154 and Bage − 0.033, respectively (p < 0.001 for both vari-
ables). Larger tumors and lower age tended to be associated
with primary tumors, although distributions showed too much
overlap to be used as a solitary determinant (see Fig. 1). The
largest size range was 1 to 60 cm and age range was 15 to
95 years. Exact calculations can be found in Online Resource
3. Final scores for size and age can be found in
Online Resources 4 and 5, respectively.
The ROC curve for Score(size + age) showed an AUC of 0.81
(see Online Resource 6), and for Score(size) or Score(age) again
0.78 and 0.64, respectively. Based on the AUC, Score(size + age)
was considered superior to Score(size) or Score(age) separately.
An optimal cutoff point for the sum of these scores was
Table 2
carcinomas after imputation
Size and laterality of primary and metastatic mucinous ovarian
Parameter
Primary %
Metastasis %
Laterality Left
Right
Bilateral
Unknown
Size (largest)
Total
307
355
73
0
19.0
735
57.8
55.4
12.6
224
286
508
0
42.2
44.6
87.4
12.0
< 0.001
41.9
1018
58.1
determined as 6.1 using the ROC curve coordinates. A nomo-
gram based on this score is shown in Fig. 2. The final algo-
rithm as depicted in Fig. 3 shows a sensitivity and specificity
of 90.1% and 59.0%, respectively, and 77.1% of tumors were
classified correctly. Details are shown in Table 3.
Table 3 Results of algorithms on current tumor cohort
Study
Origin
Primary
Metastasis
Seidman et al.
Yemelyanova et al.
p value
< 0.001
Current study
Primary
Metastasis
Sensitivity
Specificity
Primary
Metastasis
Sensitivity
Specificity
Primary
Metastasis
Sensitivity
Specificity
604
131
72.4%
82.2%
541
194
79.9%
73.6%
434
301
90.1%
59.0%
280
738
205
813
101
917
Virchows Arch (2019) 474:289–296
293
Fig. 2 Nomogram based on Score(size + age). By applying patient age en tumor size to the corresponding axes and extrapolating a line through these points
to the lower axis, final Score(size + age) can be determined
Discussion
MOC are often difficult to distinguish from mMC, since mor-
phological and immunohistochemical features are unsatisfac-
tory differentiators. In the current study, we composed the
largest database of MOC and mMC to our knowledge to eval-
uate size and laterality as predictors of tumor origin. Patients
with MOC were significantly younger, and MOCs were larger
and more often unilateral, which is in line with earlier findings
[7, 8]. We compared our data to earlier algorithms using these
features and optimized the algorithm by adding presence of
signet ring cells and patient age.
Earlier algorithms, based on small patient cohorts, of only
50, 194, and 68 tumors, respectively, solely used laterality and
size of the tumors [2, 15, 19]. Application of a 10-cm cutoff in
two studies resulted in a sensitivity of 83–95% [2, 19]; adjust-
ment of the cutoff to 13 cm showed a 82% sensitivity [15].
The populations used in these studies were heterogeneous
because of diverse inclusion criteria regarding tumors of un-
certain primary site and endometrioid and signet ring cell
Fig. 3 Final algorithm for distinguishing primary mucinous carcinomas
and carcinomas metastatic to the ovary using parameters signet ring cells,
laterality, patient age, and tumor size. For calculating Score(size + age), use
the nomogram displayed in Fig. 2
histology. Signet ring cell carcinoma can be of primary ovar-
ian origin, but this is extremely rare [20]. In our cohort, less
than 2 per 100 signet ring cell carcinomas were MOC.
Applying the earlier algorithms to our cohort yielded far lower
sensitivity compared to our algorithm, suggesting that our
algorithm including signet ring cells and a combination of
relative values for tumor size and patient age renders superior
results. Interestingly, sensitivity was also lower than found in
the cohorts used in their original studies. Since the number of
correctly classified tumors in general was comparable (ap-
proximately 77%), these differences seem to be mainly the
consequence of different composition of the cohorts. This
can be explained by several factors. Firstly, the distribution
of primary tumors in the mMC group differs between study
populations, which may be due to geographical differences.
Secondly, revision of cases in our cohort is not feasible due to
large numbers, but since it concerns a nation-wide population-
based cohort, it reflects daily practice. Thirdly, patients from
tertiary referral centers include a selection of patients, with
unusual cases, as can be observed in the Yemelyanova study,
that included as much as 35% consultation cases.
No bilateral MOC were observed in the Yemelyanova co-
hort, as opposed to both our cohort (8.9% bilateral MOC) and
the cohorts of Seidman and Khunarmonpong (17% and
12.5%, respectively) [2, 19]. Bilaterality of MOC might be
explained by MOC metastasizing from one ovary to the con-
tralateral ovary without this being recognized or reported as
such. The possibility of a misdiagnosed mMC cannot be fully
excluded. In the current study, the number of bilateral mMC
was much lower with 49.9%, most likely due to the large
number of colorectal metastases in our cohort which are
known for their ability to present as large, unilateral metasta-
ses [21]. Another difference is that Yemelyanova et al. also
included atypical proliferative mucinous (borderline) tumors
(APMTs) and tumors associated with PMP. The latter may
have led to a higher number of bilateral metastatic tumors,
since we discarded cases associated with PMP. Ovarian in-
volvement of pseudomyxoma peritonei has been shown to
294
Virchows Arch (2019) 474:289–296
be almost invariably of appendiceal origin, the only potential
but rare exception being a mucinous neoplasm originating in
an ovarian teratoma [14, 22–24]. Hence, cases associated with
pseudomyxoma peritonei pose less diagnostic problems.
Also, pathological classification of pseudomyxoma peritonei
remains problematic [25–27]. We also excluded APMTs to
prevent contamination of the MOC group with misclassified
mMC, since APMTs would not generally trigger workup for
metastasis from a primary tumor elsewhere. Especially pan-
creatic tumors are known for their capability to mimic APMTs
of the ovary. In addition, we ideally wanted to include carci-
nomas according to WHO criteria, but for micro-invasion
varying criteria are used and the exact proportions of invasive
foci were rarely reported. To prevent exclusion of actual inva-
sive carcinomas falsely diagnosed as micro-invasive, we did
include tumors reported to be micro-invasive.
In our cohort, size and patient age were significantly differ-
ent between MOC an mMC, but showed too much overlap to
be discriminating by themselves. We integrated age in the
existing algorithm, using it in direct combination with size.
The optimized algorithm based on our own cohort led to a
sensitivity and specificity of 90.1% and 59.0%, respectively.
Since misdiagnosing an mMC as an MOC has greater conse-
quences for further diagnostic workup and therapy than vice
versa, our approach was based on a high sensitivity for diag-
nosing mMC and yielding a low number of false negative
patients. This reduces the possibility of patients ultimately re-
ceiving inappropriate treatment for their disease, which differs
considerably. Primary mucinous ovarian carcinomas are pri-
marily treated surgically, followed by a combination of
paclitaxel- and platinum-based chemotherapy in case of ad-
vanced stage disease. In case of mMC, patients will be surgi-
cally treated if possible, followed by up to triple therapy with
platinum-based chemotherapy, fluoropyrimidines, irinotecan,
and the addition of targeted therapy if indicated. With a positive
predictive value of 75.3% for mMC, almost 25% of patients
will undergo unnecessary diagnostic workup. In the intraoper-
ative setting the algorithm has limited value, since low speci-
ficity might lead to denial of surgical staging of patients with
MOC when a mMC is reported. However, in practice, manual
exploration of the abdominal cavity is performed, which—
given the high incidence of both colorectal and appendiceal
metastasis—can lead to clinical confirmation of metastasis. In
absence of this clinical confirmation, limited staging can be
performed, and the surgeon can consider to perform (limited)
surgical staging based on the intraoperative suspicion.
In this study, we used multiple imputations to replace
values missing at random (MAR) by values drawn from an
estimated distribution of the variable in question, a method
used frequently in biomedical research [28–30]. This tech-
nique is based on the general statistical principle that every
subject in a randomly chosen sample can be replaced by a new
subject that is randomly chosen from the same source
population. Analysis of available cases when values are
MAR is no longer based on a random sample from the source
population, leading to severely biased study associations and
incorrect standard errors. This can be reliably overcome by
multiple imputations, rendering this method superior to com-
plete cases analysis [31, 32]. The imprecision caused by the
fact that the distribution of the variables with missing values is
estimated, is taken into account by creating multiple
imputated datasets and combining these to obtain a pooled
estimate of the parameters and standard errors [32]. The ran-
dom subset of which new subjects are chosen or imputed is
defined by the already known characteristics (the variables
used for imputation). Using as many as six variables for im-
putation greatly reduces the influence of the technique on the
final result [33]. Our algorithm was not subjected to valida-
tion, since there is a lack of large validation sets for this type of
patient cohort. This might lead to overestimated accuracy,
although due to the large sample size this overestimation will
be relatively small.
Lack of a gold standard for classifying MOC and mMC
causes difficulties in creating study populations in all reported
studies to date. We did not revise the cases included in our
cohort. We used a proven primary tumor elsewhere as evi-
dence for metastatic ovarian disease, which can be considered
an objective criterion. The probability of patients presenting
with both a MOC and a gastrointestinal tumor simultaneously
seems very low. It is conceivable that metastatic disease may
have been falsely classified as a primary ovarian tumor, if no
diagnostic workup took place because of initial misdiagnosis
or if patients did not undergo surgery of the primary tumor.
However, the large sample size reduces the influence of these
factors to some extent.
Evaluation of histological and immunohistochemical features
as well as clinical and imaging data was impeded by the large
sample size and therefore considered beyond the scope of this
study. Microscopic features observed more often in MOC are for
example expansive growth patterns or presence of precursor
lesions, whereas features such as infiltrative growth, dirty necro-
sis, lymph vessel invasion, and surface involvement are seen
more often in mMC [7–9]. Multiple studies have shown that
MOC and mMC show overlap in classic immunohistochemical
expression patterns [10–13]. Despite overlap of these morpho-
logical and immunophenotypical features between MOC and
mMC, integrating histological and immunohistochemical fea-
tures will very probably further optimize the described algo-
rithm. Also, recently discovered markers may prove superior to
the existing combinations, such as SATB2 which is a promising
new marker with high specificity for gastrointestinal origin
[34–36]. This algorithm can be useful for frozen section, al-
though strictly for patients with unilateral salpingo-
oophorectomy it may be misleading since microscopic involve-
ment of the contralateral ovary may not be macroscopically vis-
ible preoperatively and therefore prevent bilateral resection.
Virchows Arch (2019) 474:289–296
295
In conclusion, our algorithm has a higher sensitivity of
90.1% for diagnosing mMC compared to earlier reported al-
gorithms, hereby validating these earlier approaches on a large
cohort and adding patient age and tumor histology as contrib-
uting factors. Macroscopic and demographic features as pro-
posed in the current study strongly aid in decision making, but
algorithms as described here should be regarded as helpful
rather than conclusive tools. Ultimately, differentiating MOC
from mMC is a task beyond the responsibility of the patholo-
gist alone and should be based on careful integration of pre-
operative workup including imaging and laboratory results
and macroscopic, histological, and immunophenotypical tu-
mor features and requires accurate and thorough multidisci-
plinary communication.
Authors’ contributions MS obtained funding. MS and TB contributed to
the study design, data analysis, and drafting of the manuscript. AB was
responsible for performing the national pathology database search. AH
contributed to the data analysis. HB, LM, and IN contributed to the study
design and data analysis. All authors reviewed the manuscript and ap-
proved the final version.
Funding This study was funded by the Dutch Cancer Society (grant
number KUN 2014–6613).
Compliance with ethical standards
Conflicts of interest The authors declare that they have no conflict of
interest.
Open Access This article is distributed under the terms of the Creative
C o m m o n s A t t r i b u t i o n 4 . 0 I n t e r n a t i o n a l L i c e n s e ( h t t p : / /
creativecommons.org/licenses/by/4.0/), which permits unrestricted use,
distribution, and reproduction in any medium, provided you give
appropriate credit to the original author(s) and the source, provide a link
to the Creative Commons license, and indicate if changes were made.
Publisher’s Note Springer Nature remains neutral with regard to juris-
dictional claims in published maps and institutional affiliations.
References
1. Bruls J, Simons M, Overbeek LI, Bulten J, Massuger LF, Nagtegaal
ID (2015) A national population-based study provides insight in the
origin of malignancies metastatic to the ovary. Virchows Arch 467:
79–86. https://doi.org/10.1007/s00428-015-1771-2
2. Seidman JD, Kurman RJ, Ronnett BM (2003) Primary and meta-
static mucinous adenocarcinomas in the ovaries: incidence in rou-
tine practice with a new approach to improve intraoperative diag-
nosis. Am J Surg Pathol 27:985–993
3. Moore RG, Chung M, Granai CO, Gajewski W, Steinhoff MM
(2004) Incidence of metastasis to the ovaries from nongenital tract
primary tumors. Gynecol Oncol 93:87–91. https://doi.org/10.1016/
j.ygyno.2003.12.039
4. Antila R, Jalkanen J, Heikinheimo O (2006) Comparison of sec-
ondary and primary ovarian malignancies reveals differences in
their pre- and perioperative characteristics. Gynecol Oncol 101:
97–101. https://doi.org/10.1016/j.ygyno.2005.09.046
5. Simons M, Ezendam N, Bulten J, Nagtegaal I, Massuger L (2015)
Survival of patients with mucinous ovarian carcinoma and ovarian
metastases: a population-based Cancer registry study. Int J Gynecol
C a n c e r 2 5 : 1 2 0 8 – 1 2 1 5 . h tt p s : / / d o i . o rg / 1 0 . 1 0 9 7 / I G C .
0000000000000473
6. McCluggage WG, Wilkinson N (2005) Metastatic neoplasms in-
volving the ovary: a review with an emphasis on morphological and
immunohistochemical features. Histopathology 47:231–247.
https://doi.org/10.1111/j.1365-2559.2005.02194.x
7. Lee KR, Young RH (2003) The distinction between primary and
metastatic mucinous carcinomas of the ovary: gross and histologic
findings in 50 cases. Am J Surg Pathol 27:281–292
8. Riopel MA, Ronnett BM, Kurman RJ (1999) Evaluation of diag-
nostic criteria and behavior of ovarian intestinal-type mucinous
tumors: atypical proliferative (borderline) tumors and
intraepithelial, microinvasive, invasive, and metastatic carcinomas.
Am J Surg Pathol 23:617–635
9. Lewis MR, Deavers MT, Silva EG, Malpica A (2006) Ovarian
involvement by metastatic colorectal adenocarcinoma: still a diag-
nostic challenge. Am J Surg Pathol 30:177–184
10. Vang R, Gown AM, Wu LS, Barry TS, Wheeler DT, Yemelyanova
A, Seidman JD, Ronnett BM (2006) Immunohistochemical expres-
sion of CDX2 in primary ovarian mucinous tumors and metastatic
mucinous carcinomas involving the ovary: comparison with CK20
and correlation with coordinate expression of CK7. Mod Pathol 19:
1421–1428. https://doi.org/10.1038/modpathol.3800698
11. Vang R, Gown AM, Barry TS, Wheeler DT, Yemelyanova A,
Seidman JD, Ronnett BM (2006) Cytokeratins 7 and 20 in primary
and secondary mucinous tumors of the ovary: analysis of coordi-
nate immunohistochemical expression profiles and staining distri-
bution in 179 cases. Am J Surg Pathol 30:1130–1139. https://doi.
org/10.1097/01.pas.0000213281.43036.bb
12. Groisman GM, Meir A, Sabo E (2004) The value of Cdx2 immu-
nostaining in differentiating primary ovarian carcinomas from co-
lonic carcinomas metastatic to the ovaries. Int J Gynecol Pathol 23:
52–57. https://doi.org/10.1097/01.pgp.0000101141.31270.a0
13. Werling RW, Yaziji H, Bacchi CE, Gown AM (2003) CDX2, a
highly sensitive and specific marker of adenocarcinomas of intesti-
nal origin: an immunohistochemical survey of 476 primary and
metastatic carcinomas. Am J Surg Pathol 27:303–310
14. Vang R, Gown AM, Zhao C, Barry TS, Isacson C, Richardson MS,
Ronnett BM (2007) Ovarian mucinous tumors associated with ma-
ture cystic teratomas: morphologic and immunohistochemical anal-
ysis identifies a subset of potential teratomatous origin that shares
features of lower gastrointestinal tract mucinous tumors more com-
monly encountered as secondary tumors in the ovary. Am J Surg
P a t h o l 3 1 : 8 5 4– 8 6 9 . h t t p s : / / d o i . o r g / 1 0 . 1 0 9 7 / PA S .
0b013e31802efb45
15. Yemelyanova AV, Vang R, Judson K, Wu LS, Ronnett BM (2008)
Distinction of primary and metastatic mucinous tumors involving
the ovary: analysis of size and laterality data by primary site with
reevaluation of an algorithm for tumor classification. Am J Surg
P a t h o l 3 2 : 1 2 8– 1 3 8 . h t t p s : / / d o i . o r g / 1 0 . 1 0 9 7 / PA S .
0b013e3180690d2d
16. Casparie M, Tiebosch AT, Burger G, Blauwgeers H, van de Pol A,
van Krieken JH, Meijer GA (2007) Pathology databanking and
biobanking in the Netherlands, a central role for PALGA, the na-
tionwide histopathology and cytopathology data network and ar-
chive. Cell Oncol 29:19–24
17. Vang RCA, Kommoss F, Matias-Guiu X, Ronnett BM, Young RH
(2014) Secondary Tumours. In: Kurman RJCM, Herrington CS,
Young RH (eds) WHO classification of Tumours of female repro-
ductive organs, 4th edn. International Agency for Research on
Cancer (IARC), Lyon, pp 83–86
296
18.
van Buuren S (2007) Multiple imputation of discrete and continu-
ous data by fully conditional specification. Stat Methods Med Res
16:219–242. https://doi.org/10.1177/0962280206074463
19. Khunamornpong S, Suprasert P, Pojchamarnwiputh S, Na
Chiangmai W, Settakorn J, Siriaunkgul S (2006) Primary and met-
astatic mucinous adenocarcinomas of the ovary: evaluation of the
diagnostic approach using tumor size and laterality. Gynecol Oncol
101:152–157. https://doi.org/10.1016/j.ygyno.2005.10.008
20. McCluggage WG, Young RH (2008) Primary ovarian mucinous
tumors with signet ring cells: report of 3 cases with discussion of
so-called primary Krukenberg tumor. Am J Surg Pathol 32:1373–
1379. https://doi.org/10.1097/PAS.0b013e31816b18c1
Judson K, McCormick C, Vang R, Yemelyanova AV, Wu LS,
Bristow RE, Ronnett BM (2008) Women with undiagnosed colo-
rectal adenocarcinomas presenting with ovarian metastases: clini-
copathologic features and comparison with women having known
colorectal adenocarcinomas and ovarian involvement. Int J
Gynecol Pathol 27:182–190. https://doi.org/10.1097/PGP.
0b013e31815b9752
21.
22. Ronnett BM, Shmookler BM, Diener-West M, Sugarbaker PH,
Kurman RJ (1997) Immunohistochemical evidence supporting the
appendiceal origin of pseudomyxoma peritonei in women. Int J
Gynecol Pathol 16:1–9
23. Young RH, Gilks CB, Scully RE (1991) Mucinous tumors of the
appendix associated with mucinous tumors of the ovary and
pseudomyxoma peritonei. A clinicopathological analysis of 22
cases supporting an origin in the appendix. Am J Surg Pathol 15:
415–429
24. Ronnett BM, Seidman JD (2003) Mucinous tumors arising in ovar-
ian mature cystic teratomas: relationship to the clinical syndrome of
pseudomyxoma peritonei. Am J Surg Pathol 27:650–657
25. Bradley RF, Stewart JH, Russell GB, Levine EA, Geisinger KR
(2006) Pseudomyxoma peritonei of appendiceal origin: a clinico-
pathologic analysis of 101 patients uniformly treated at a single
institution, with literature review. Am J Surg Pathol 30:551–559.
https://doi.org/10.1097/01.pas.0000202039.74837.7d
26. Ronnett BM (2006) Pseudomyxoma peritonei: a rose by any other
name. Am J Surg Pathol 30:1483–1484; author reply 1484-1485.
https://doi.org/10.1097/01.pas.0000213357.18380.36
27. Shetty S, Natarajan B, Thomas P, Govindarajan V, Sharma P,
Loggie B (2013) Proposed classification of pseudomyxoma
peritonei: influence of signet ring cells on survival. Am Surg 79:
1171–1176
Virchows Arch (2019) 474:289–296
28. Allard MA, Adam R, Giuliante F, Lapointe R, Hubert C, Ijzermans
JNM, Mirza DF, Elias D, Laurent C, Gruenberger T, Poston G,
Letoublon C, Isoniemi H, Lucidi V, Popescu I, Figueras J (2017)
Long-term outcomes of patients with 10 or more colorectal liver
metastases. Br J Cancer 117:604–611. https://doi.org/10.1038/bjc.
2017.218
30.
29. Lorincz AT, Nathan M, Reuter C, Warman R, Thaha MA, Sheaff M,
Vasiljevic N, Ahmad A, Cuzick J, Sasieni P (2017) Methylation of
HPVand a tumor suppressor gene reveals anal cancer and precursor
lesions. Oncotarget 8:50510–50520. https://doi.org/10.18632/
oncotarget.17984
Jansen IGH, Mulder M, Goldhoorn RB, investigators MCR (2018)
Endovascular treatment for acute ischaemic stroke in routine clini-
cal practice: prospective, observational cohort study (MR CLEAN
registry). BMJ 360:k949. https://doi.org/10.1136/bmj.k949
Janssen KJ, Donders AR, Harrell FE Jr, Vergouwe Y, Chen Q,
Grobbee DE, Moons KG (2010) Missing covariate data in medical
research: to impute is better than to ignore. J Clin Epidemiol 63:
721–727. https://doi.org/10.1016/j.jclinepi.2009.12.008
31.
32. Donders AR, van der Heijden GJ, Stijnen T, Moons KG (2006)
Review: a gentle introduction to imputation of missing values. J
Clin Epidemiol 59:1087–1091. https://doi.org/10.1016/j.jclinepi.
2006.01.014
33. Lang KM, Little TD (2018) Principled missing data treatments.
Prev Sci 19:284–294. https://doi.org/10.1007/s11121-016-0644-5
34. Moh M, Krings G, Ates D, Aysal A, Kim GE, Rabban JT (2016)
SATB2 expression distinguishes ovarian metastases of colorectal
and Appendiceal origin from primary ovarian tumors of mucinous
or Endometrioid type. Am J Surg Pathol 40:419–432. https://doi.
org/10.1097/PAS.0000000000000553
35. Strickland S, Wasserman JK, Giassi A, Djordjevic B, Parra-Herran
C (2016) Immunohistochemistry in the diagnosis of mucinous neo-
plasms involving the ovary: the added value of SATB2 and bio-
marker discovery through protein expression database mining. Int J
Gynecol Pathol 35:191–208. https://doi.org/10.1097/PGP.
0000000000000238
36. Perez Montiel D, Arispe Angulo K, Cantu-de Leon D, Bornstein
Quevedo L, Chanona Vilchis J, Herrera Montalvo L (2015) The value
of SATB2 in the differential diagnosis of intestinal-type mucinous
tumors of the ovary: primary vs metastatic. Ann Diagn Pathol 19:
249–252. https://doi.org/10.1016/j.anndiagpath.2015.05.004
| null |
10.1088_1402-4896_ad07c3.pdf
|
Data availability statement
The data cannot be made publicly available upon publication because they contain sensitive personal
information. The data that support the findings of this study are available upon reasonable request from the
authors.
|
Data availability statement The data cannot be made publicly available upon publication because they contain sensitive personal information. The data that support the findings of this study are available upon reasonable request from the authors.
|
Phys. Scr. 98 (2023) 125924
https://doi.org/10.1088/1402-4896/ad07c3
RECEIVED
25 August 2023
REVISED
24 October 2023
ACCEPTED FOR PUBLICATION
27 October 2023
PUBLISHED
7 November 2023
PAPER
Preparation and properties of MAO self-healing anticorrosion film on
5B70 Al alloy
Mingjin Wu1 and Feng Jiang1,2,∗
1 Light Alloy Research Institute, Central South University, Changsha, 410083, People’s Republic of China
2 School of Material Science and Engineering, Central South University, Changsha, 410083, People’s Republic of China
∗ Author to whom any correspondence should be addressed.
E-mail: jfeng2@csu.edu.cn
Keywords: 5B70 Al alloy, MAO, corrosion inhibitor, anti-corrosion performance, self-healing performance
Abstract
Micro-arc oxidation (MAO) was a new surface treatment technology for Al alloys. However, the MAO
ceramic film could not provide long-term protective performance owing to its inherent porous
structure. In this work, a new type of CeO2-sealed GO/Al2O3 composite film on 5B70 Al alloy with
excellent corrosion resistance was prepared by integrating MAO and the hole sealing technique. The
experimental results indicated that the loose and porous MAO ceramic film could serve as a ‘shield’
and a ‘reservoir’, respectively, to obtain improved impedance and sufficient corrosion inhibitor
loading. Compared to the original MAO ceramic film or GO/Al2O3 composite film, The GO/Al2O3
composite film after sealing treatment for 60 min had lower porosity and better corrosion resistance.
In addition, CeO2-sealed GO/Al2O3 composite film exhibited a positive self-healing effect in 3.5 wt%
NaCl solution.
1. Introduction
Al alloys were widely used in civil and aerospace fields due to their low density and high specific strength. For
example, the high-strength 5B70 Al alloy with light weight and weldability could be used to manufacture main
structures of the large sealed cabin of manned spacecraft [1, 2]. However, the wider application Al alloys were
restricted due to the high chemical reactivity and low anti-corrosion performance. Many surface treatment
technologies, such as thermal spraying [3], physical vapor deposition [4], chemical vapor deposition [5], laser
cladding [6] and MAO [7], have been used to improve the corrosion resistance of Al alloys. Among these
technologies, MAO was considered as a high productivity and eco-friendly technology, which could provide a
hard ceramic film with strong adhesion and medium corrosion resistance. However, the traditional MAO
ceramic film with porous structure could not meet the requirements of anti-corrosion performance, especially
in extreme circumstances.
To improve anti-corrosion performance of MAO ceramic film, the nanoparticles with special
−). It has been confirmed that GO was one of the best corrosion-resistant materials [8].
characteristics, such as ZrO2, CeO2, TiO2 and so on, were added to the electrolyte solution. Recently, we learned
that the two-dimensional material-graphite oxide (GO) had strong obstruct capability to molecules (O2 and
H2O) and ions (Cl
Therefore, we prepared GO/Al2O3 composite film on 5B70 Al alloy by MAO in the silicate electrolyte solution
with GO nanoparticles. The results suggested that the addition of GO nanoparticles could reduce the pores and
microcracks generated by MAO process, and improve the density of ceramic film. At the same time, GO would
form a barrier network in MAO ceramic film to prevent the penetration of corrosive media, and finally enhance
the corrosion resistance of MAO ceramic film. However, there were still a small number of micropores and
−
cracks on the surface of the GO/Al2O3 composite film, which could easily provide a diffusion path for Cl
and
O2 in corrosive environments. In long-term aggressive environment, once the ceramic film was damaged, the
substrate might be susceptible to local corrosion, causing the occurrence of pits, gaps, and the degradation in the
composite film [9], ultimately causing film detachment and Al alloy workpiece failure.
© 2023 IOP Publishing Ltd
Phys. Scr. 98 (2023) 125924
M Wu and F Jiang
At present, many researchers were particularly concerned about obtaining a robust self-healing composite
film with functional surfaces through defect sealing, which could effectively prevent the occurrence and further
expansion of corrosion behavior in damaged region of Al alloys [10, 11]. In terms of GO/Al2O3 composite film,
the micropores served as carriers for inhibitors, and corrosion inhibitors could fill the pores to seal the
GO/Al2O3 composite film. Gnedenkov et al [12] immersed the MAO ceramic film in a solution containing
8-hydroxyquinoline, which could reduce the current density of the composite film in 3.5 wt% NaCl solution by
30 times and avoid serious damage to the substrate. Liu et al [13] incorporated 2-mercaptobenzothiazole and
Na3PO4 into the MAO film, their synergistic effects could effectively enhanced the self-healing performance of
the composite film in 3.5 wt% NaCl solution.
To further improve the application scope of 5B70 Al alloy, it was important to enhance its anti-corrosion
performance or induce its self-healing performance. Nevertheless, there was little research on the self-healing
and anti-corrosion MAO films on 5B70 Al alloy. According to reports, Ce-based solutions could introduce
corrosion inhibitors into MAO ceramic film to fill the pores [14]. Therefore, in this paper, the self-healing and
anti-corrosion film based on MAO film on 5B70 Al alloy with the corrosion inhibitor was prepared by
immersing into the sealing solution. The corrosion resistance and self-healing performance of this sealed film in
3.5 wt% NaCl solution was investigated.
2. Experimental section
2.1. Materials
The 5B70 Al alloy used in this experiment (Mg:6.02wt%, Sc:0.25wt%, Mn:0.32wt%, Mn:0.1wt%, and Al
balance) was provided by Northeast Light Alloy Co., Ltd First, the 5B70 Al alloy sheet was cut into
20 mm × 20 mm × 3 mm samples. These samples were mechanically ground with 180#, 800#, and 1200# SiC
sandpaper, polished to a mirror surface, washed with deionized water, and finally dried in flowing air.
2.2. Preparation of the composite film
Direct-current power supply (Yisheng Electronic Technology Co., Ltd, China) was used for MAO treatment.
The alloy samples served as the anode, and the stainless steel container served as the cathode. The electrolyte
solution was composed of Na2SiO3(10 g l
−1. GO nanoparticles were purchased
Biochemical Co., Ltd The concentration of GO nanoparticles was 0.15 g l
from Shenzhen Huiheng Technology Co., Ltd. Before adding to the electrolyte solution, GO nanoparticles were
dispersed in deionized water by ultrasonic treatment for 20 min. A constant current mode was used in the MAO
process. The current density was 10 A cm
was maintained below 30 °C. After MAO treatment, the samples were washed with deionized water and dried in
flowing air.
−2, and the oxidation time was 15 min. The electrolyte temperature
−1), purchased from Shanghai Macklin
−1) and NaOH(1 g l
2.3. Micropores sealing process
The composite samples were immersed in a sealing solution for the holes sealing. The sealing solution was
prepared by dissolving Ce(NO3)3 and H2O2 in deionized water at room temperature and continuously stirring
mechanically. The concentration of Ce(NO3)3 and H2O2 were 6 g l
addition, these composite samples were immersed for 0 min, 10 min, 30 min, 60 min, and 90 min, respectively,
to load corrosion inhibitors, which could meet the requirements of the micropores sealing process (for
convenience, the corresponding samples were named MAO-S0, MAO-S10, MAO-S30, MAO-S60, and MAO-
S90, respectively). After sealing treatment, these samples were washed with deionized water and dried in air. The
entire experimental process was shown in figure 1.
−1 [14], respectively. In
−1 and 30 ml l
2.4. Electrochemical test
Electrochemical workstation (MULTIAUTOLABM204, Switzerland) was used to test the potentiodynamic
polarization curve and electrochemical impedance spectroscopy (EIS) of the composite sample and the sealed
samples to characterize its electrochemical characteristics in 3.5 wt% NaCl solution. A typical three electrode
device was used, in which a saturated calomel electrode (SCE) was used as the reference electrode, a platinum
electrode was used as the counter electrode, and the MAO sample with an exposure area of 1cm2 was used as the
working electrode. To get a stable open circuit potential, the sample needed to be immersion for 15 min in
3.5 wt % NaCl solution before testing. The frequency range measured by EIS was 105 Hz to 0.1 Hz, with an
amplitude of 10 mV. The EIS data was fitted using ZSimDemo software. During the measurement of
polarization curves, the scanning speed was designed to 1 mV s
three times to ensure the data repeatability.
−1. The above tests should be conducted at least
2
Phys. Scr. 98 (2023) 125924
M Wu and F Jiang
Figure 1. The experimental process.
2.5. Scratching test
To evaluate the self-healing performance of the sealing films, artificial defects were created by scratching the
sealing film with a sharp knife. The scratches were observed with an optical microscope to ensure the presence of
Al substrate in the visual field. Each sealing sample with artificial scratches were immersed in a 3.5 wt % NaCl
solution for 6 h and 12 h, respectively, to simulate the damage of Al alloy workpieces in the actual working
condition. Considering the possible failure of the sealing film, the appropriate self-healing time in 3.5 wt% NaCl
solution was determined. The optical photos, corrosion morphologies, and corresponding EDS spectra after
immersion were recorded.
2.6. Characterization
The surface roughness and three-dimensional morphology of composite sample and sealed samples were
measured the optical profilometer (Bruker, ContourX-200, USA). To ensure accuracy, three measurements on
the roughness of each sample were conducted to obtain an average value. Field emission scanning electron
microscope (FESEM, JEOL, Japan) equipped with energy dispersive x-ray spectroscopy (EDS) equipment was
used to observe the surface morphologies of composite sample and sealed samples. In addition, the elements
distribution on the sealing sample surface was also detected. The porosity of the composite sample and sealing
samples was measured using Image-pro plus software. The phase composition of the composite sample and
sealed samples was detected by x-ray diffractometer (XRD, Rigaku, Japan), using Cu-Kα radiation at 30 kV and
20 mA. Diffraction data were obtained at a scattering angle 2θ from 10° to 80°, with a scanning speed of 2°/min.
The chemical state of elements was detected by x-ray photoelectron spectroscopy (XPS, AXIS Supra, UK)
equipped with monochromatic Al-Kα radiation sources (6 mA, 12 kV, and 1486.68 eV).
3. Results and discussion
3.1. Composition analysis
To determine the chemical composition of the sealing films, XRD and XPS characterization methods were used.
Figure 2 showed the XRD spectra of the composite films after sealing treatment. All samples were composed of
γ-Al2O3 and α-Al2O3 and there was no significant difference in phase composition.
In order to investigate the chemical state of surface elements on the sealing films, XPS analysis was
performed on the MAO-S30 sample, and the results were shown in figure 3. The wide spectrum of the MAO-S30
sample confirmed the presence of Al, Ce, and O. The high-resolution spectrum of Al 2p (figure 3(b)) showed that
the binding energy of Al 2p was about 74.7 eV, which belonged to Al2O3. MAO-S30 sample showed obvious Ce
3d peak (figure 3(c)), which indicated that the corresponding compounds had successfully entered the
GO/Al2O3 composite film. To be exact, the Ce 3d spectrum was fitted through XPS simulation, and it was found
that the original spectrum was highly consistent with the standard specification spectrum of Ce 3d4+
indicated that the corrosion inhibitor contained Ce4+
898.1 eV, 901.1 eV, 905.9 eV and 916.7 eV indicated the presence of CeO2 in the sealing samples [15]. The high-
resolution spectrum of O1s (figure 3(d)) showed that two peaks at 531.05 eV and 532.3 eV, corresponded to the
binding energy of Al2O3 and CeO2, respectively. Therefore, it could be concluded that the corrosion inhibitor,
which was produced in GO/Al2O3 composite film after sealing treatment, was CeO2. The chemical reactions
were as followed:
, which
. The peaks at the binding energy of 882.5 eV, 886.8 eV,
3
+
2Ce
+
H O
2
2
+
2H O
2
(
2Ce OH
)
+
2
2
+
+
2H
( )
1
3
Phys. Scr. 98 (2023) 125924
M Wu and F Jiang
Figure 2. XRD spectra of the composite films after sealing treatment.
Figure 3. (a) Wide scan XPS spectrum and XPS high-resolution spectra of b) Al, c) Ce, and d) O of the MAO-S30 sample.
2H O O
+
2
+
4e
-
-
4OH
2
(
Ce OH
)
+
2
2
+
-
2OH
(
Ce OH
)
4
CeO
2
+
2H O
2
( )
2
( )
3
3.2. Morphology observation
The optical morphologies of the composite sample and sealing samples were shown in figure 4. From these
figures, the color changes of the samples surface could be clearly observed. It was obvious that with the extension
of sealing time, the color of these samples surface gradually deepened and changed from gray white to yellow
brown. As was well known, Ce4+
[16]. Therefore, it could be reasonably inferred that as the sealing time increasing, the corrosion inhibitors
ions could cause solutions or compounds to take on a yellow based appearance
4
Phys. Scr. 98 (2023) 125924
M Wu and F Jiang
Figure 4. Optical morphologies of the composite sample ((a)MAO-S0) and the sealing samples ((b) MAO-S10, (c) MAO-S30, (d)
MAO-S60 and (e) MAO-S90).
should gradually form in the GO/Al2O3 composite film, and the color changes were related to the enrichment of
Ce4+
based compounds.
The SEM images of GO/Al2O3 composite film and four sealing films were shown in figure 5. From the
figures, the surface morphology of MAO-S0 sample exhibited microcracks and pores, which were attributed to
the release of gas in the molten oxide and the thermal stress present at the discharge channel during the
formation process of GO/Al2O3 composite film. And there were many micropores with larger sizes on the
samples surface. Specifically, the surface porosity was 6.09%, and the average size of the micropores was
6.96 μm. When the composite samples were sealed for 10 min, 30 min and 60 min, the surface morphologies
were significantly different from that of composite sample, and the porosity of sealing films was 5.99%, 4.16%
and 3.93%, respectively. Average pore diameter significantly decreased with the increase of sealing time. This
was principally because the micro-pores in ceramic films were filled with corrosion inhibitors. However, after
the sealing treatment for 90 min, the surface porosity increased to 4.83%. This was mainly because the formation
and propagation of cracks led to an increase in the surface porosity of ceramic film. The chemical reactions
involved in the formation of corrosion inhibitors generated thermal stress, and cracks were usually formed at
these points. Stress concentration could cause local stresses in ceramic film to exceed their load-bearing capacity,
leading to the formation of the cracks, which could propagate under load or stress. The crack propagation could
lead to the detachment or destruction of the ceramic films, forming new micro-pores, which in turn led to an
increase in surface porosity. Therefore, we found that the porosity did not decrease with the increase of sealing
time, which indicated that there was a dynamic equilibrium relationship between the formation and dissolution
of corrosion inhibitor.
In order to elucidate the dispersion state of corrosion inhibitors in the sealing film, EDS elemental analysis
was performed on the sealed samples surface. The elemental distribution of Al, O, Ce, and Si was shown in the
figure. It was worth noting that Al and O elements were uniformly distributed on the surface, indicating that
Al2O3 was the main phase in the sealed film. Si element was mainly distributed in the protrusion around the
discharge hole, and Ce element was locally enriched to fill the micropores to seal the composite film, which
indicated that the micropores of composite film became a container for carrying corrosion inhibitor.
The three-dimensional morphologies and surface roughness of the GO/Al2O3 composite film and sealing
films were shown in figure 6. As shown in the figure, with the extension of sealing time, the surface roughness of
the sealing samples gradually increased. This phenomenon was attributed to the fact that the prolonged sealing
time led to the generation and deposition of more corrosion inhibitors.
The cross-sectional morphologies of GO/Al2O3 composite film and the sealing films were shown in figure 7.
It could be seen from the figure that there was an obvious interface between the oxide film and the 5B70 Al alloy
substrate. The outer layer of GO/Al2O3 composite film was loose and porous, and the inner layer was compact.
After being sealed with the sealing solution for 10–60 min, the cross-section of the sealing films did not show
obvious changes. However, after being sealed for 90 min, the obvious cracks occurred on the cross-section,
which had a negative impact on the anti-corrosion performance of the sealing films.
3.3. Corrosion evaluation
Figure 8(a) showed the polarization curves of GO/Al2O3 composite film and the sealed films after immersion in
a 3.5 wt % NaCl solution for 15 min. As shown in the figure, the presence of corrosion inhibitor improved the
corrosion resistance of GO/Al2O3 composite film. With the extension of the sealing time, the corresponding
curve moved to the left (lower current density) and upward (higher corrosion potential), suggesting that the
corrosion resistance of GO/Al2O3 composite film was improved by increasing the sealing time. The fitting data
of the polarization curves was displayed in table 1. As seen from the table, the corrosion inhibitor in the pores
was beneficial for improving the anti-corrosion performance of GO/Al2O3 composite film. Compared with the
MAO-S0 sample, when the sealing time was 60 min, the icorr of the sealing samples increased from 3.72 ×
−2 and Ecorr increased from −0.590 V to
10
–8A cm2 reduced by an order of magnitude to 1.04 × 10
−9 A cm
5
Phys. Scr. 98 (2023) 125924
M Wu and F Jiang
Figure 5. Surface morphologies and the EDS elemental mapping of the samples. (a) MAO-S0, (b) MAO-S10, (c) MAO-S30, (d) MAO-
S60 and (e) MAO-S90.
−0.528 V, indicating that the corrosion resistance of GO/Al2O3 composite film was increased evidently. The
polarization resistance (Rp) and corrosion rate (CR) were calculated using the Stern-Gray equation [17]. The
results showed that with the extension of sealing time, Rp increased and CR decreased. The MAO-S60 sample
had the optimal corrosion resistance, with Rp = 8.656 × 105 Ω cm2, CR = 1.16 × 10
−6 A cm
−2.
The Nyquist plots of the GO/Al2O3 composite film and the sealing films were displayed in figure 8(b). It was
found that these plots presented a distinct characteristic, which was the low capacitance semicircle that
constituting the impedance spectrum. The obvious difference between the five spectra was their arc radius,
which meant that the corrosion behavior of the five samples were different. Based on previous research findings,
the larger the radius was, the better the corrosion resistance was [18]. When the sealing time was less than
60 min, the curve radius gradually increased with the increase of sealing time. Therefore, the corrosion
resistance of these sealing samples gradually increased. At the same time, the change also meant that the charge
transfer process was suppressed, and the corrosion inhibitor was effectively loaded into the GO/Al2O3
composite film. As the sealing time prolonged, more Ce4+
ions entered the GO/Al2O3 composite film to form
6
Phys. Scr. 98 (2023) 125924
M Wu and F Jiang
Figure 6. 3D morphologies and surface roughness of the GO/Al2O3 composite film(a) and the sealing films (b) MAO-S10, (c) MAO-
S30, (d) MAO-S60 and (e) MAO-S90.
Figure 7. The cross-sectional morphologies of the GO/Al2O3 composite film after sealing treatment. (a) MAO-S10, (b) MAO-S30, (c)
MAO-S60 and (d) MAO-S90.
more corrosion inhibitors, leading to a gradual improvement of the sealing effect. When the sealing time was
90 min, the corrosion resistance took on a descendant trend. This phenomenon was attributed to that the
dissolution behavior was dominant during the formation process of the sealing film.
In addition, the Bode impedance plots and phase plots of GO/Al2O3 composite film and sealing films were
displayed in figures 8(c) and (d), respectively. In the low-frequency region, the sealing films with higher |Z|
always had better anti-corrosion performance. Obviously, the MAO-S60 sample exhibited the best corrosion
resistance. From the analysis of figure 8(d), two time-constants could be observed in the Bode phase plots of the
MAO-S0 and MAO-S90 samples, and thus the equivalent circuits shown in figures 8(a) and (c) were used for
fitting. while the one time-constant was observed in the Bode phase plots of other sealing samples, and thus the
equivalent circuit shown in figure 8(b) was used for fitting. Rs referred to the resistance of the corrosion solution.
Previous studies have shown that MAO ceramic films were composed of an external porous layer and an internal
dense layer [7]. Therefore, For the equivalent circuit of the MAO-S0 sample (figure 9(a)), the electrical elements
were composed of the resistance elements (R1 for porous layer, R2 for dense layer), and constant phase element
(Q1 and n1 for porous layer, Q2 and n2 for dense layer). For the equivalent circuit of the MAO-S10, MAO-S30
and MAO-S60 sample (figure 9(b)), Rm referred to the resistance of the sealing film, Qm referred to the
capacitance of the sealing film. For the equivalent circuit of MAO-S90 sample (figure 9(c)), the electrical
7
Phys. Scr. 98 (2023) 125924
M Wu and F Jiang
Figure 8. (a) Potentiodynamic polarization curves, (b) Nyquist plot, (c) Bode impedance plot, (d) Bode phase plot for the GO/Al2O3
composite sample and the four Sealing samples.
elements consisted of the resistance elements (Rf for the sealed film, Ri for the interface between film and
substrate), and constant phase element (Qf and nf for the sealed film, Qi and ni for the interface between film and
substrate. The parameters obtained from the corresponding equivalent circuit models were shown in table 2.
The Bode phase plots of MAO-S10, MAO-S30 and MAO-S60 samples only presented a time-constant. This
was because the corrosion inhibitor was successfully introduced into the GO/Al2O3 composite film, improving
the anti-corrosion performance of the porous layer and effectively suppressing the invasion of corrosive media.
When the sealing time reached 90 min, the Bode phase plot of the MAO-S90 sample once again presented two
time-constants. Based on the morphology observation in figure 5(d), long immersion in the sealing solution
would cause more cracks to generate on the GO/Al2O3 composite film surface, thereby accelerating the
corrosion reaction. In summary, electrochemical measurements and SEM images demonstrated that the hole
sealing technique could improve the corrosion resistance of GO/Al2O3 composite films. In addition, the
corrosion resistance of sealing film achieved the desired effect after the sealing treatment for 60 min.
R
P
=
b
a
2.3
⋅
i
corr
c
⋅
b
b
(
a
+
b
c
)
C
R
=
22.85
⋅
i
corr
( )
4
( )
5
Previous studies have shown that GO nanoparticles as an electrolyte additive could change the characteristic
of the electrolyte solution and affect the MAO process. In addition, GO nanoparticles had been proved to have
high aspect ratio and permeability resistance. The MAO process could effectively wrap GO nanoparticles in the
MAO ceramic film, which made the conduction path of corrosion medium in the GO/Al2O3 composite film
more tortuous, giving the GO/Al2O3 composite film a labyrinth effect. Finally, the corrosion resistance of the
GO/Al2O3 composite film was significantly improved.
When the GO/Al2O3 composite film was immersed in the sealing solution, under the action of mechanical
agitation, the corrosion inhibitor (CeO2) was formed in the loose structure to fill the micropores and ultimately
seal GO/Al2O3 composite film. Meanwhile, GO was lamellar, and had high transparency and wrinkled edges.
This undoubtedly indicated that GO could be applied as an excellent support material. CeO2 was adsorbed on
the GO matrix to nucleate and grow in different directions to obtain thin sheets with poor crystallinity and small
transverse size, which could act as a barrier layer to prevent the invasion of corrosive media, and to some extent,
protect 5B70 Al alloy. Meanwhile, CeO2 deposited on the lamellar structure of GO would maintain the high
surface and inherent folding properties of GO. In addition, it also exhibited a thicker crystal sheet-like structure,
8
Table 1. Electrochemical data obtained from potentiodynamic polarization tests.
9
Samples
Corrosion potential Ecorr/V(SCE)
Current density icorr/ (A·cm
−2)
Anodic slope βa(V/dec.)
Cathodic slope -βc(V/dec.)
Polarization resistance Rp(Ω·cm2)
Corrosion rate CR(A·cm
−2)
MAO-S0
MAO-S10
MAO-S30
MAO-S60
MAO-S90
−0.590
−0.581
−0.556
−0.528
−0.547
3.72E-8
5.79E-9
2.43E-9
1.04E-9
2.39E-9
0.182
0.175
0.219
0.181
0.155
0.215
0.167
0.166
0.167
0.213
1.15E6
6.42E6
1.69E7
3.63E7
1.63E7
8.50E-7
1.32E-7
5.55E-8
2.38E-8
5.46E-8
P
h
y
s
.
S
c
r
.
9
8
(
2
0
2
3
)
1
2
5
9
2
4
M
W
u
a
n
d
F
J
i
a
n
g
Table 2. The values of electrical element of equivalent data.
1
0
Sample
Rs(Ω/cm2)
R1(Ω/cm2)
Q1(F/cm2)
n1
R2(Ω/cm2)
Q2(F/cm2)
n2
Rm(Ω/cm2)
Qm(F/cm2)
MAO-S0
MAO-S10
MAO-S30
MAO-S60
MAO-S90
13.93
71.01
11.96
21.80
6.229
6.118E6
—
—
—
—
2.225E-7
—
—
—
—
0.7472
—
—
—
—
8.113E6
—
—
—
—
4.858E-7
—
—
—
—
0.8999
—
—
—
—
—
1.126E7
3.008E7
1.519E8
—
—
1.759E-7
2.889E-8
1.854E-8
—
nm
—
0.851
0.7935
0.7404
—
Rf(Ω/cm2)
Qf(F/cm2)
—
—
—
—
—
—
—
—
nf
—
—
—
—
Ri(Ω/cm2)
Qi(F/cm2)
—
—
—
—
—
—
—
—
ni
—
—
—
—
2.516E7
3.354E-7
0.5555
1.678E7
1.252E-7
0.8185
P
h
y
s
.
S
c
r
.
9
8
(
2
0
2
3
)
1
2
5
9
2
4
M
W
u
a
n
d
F
J
i
a
n
g
Phys. Scr. 98 (2023) 125924
M Wu and F Jiang
Figure 9. Equivalent electrical circuits used for fitting the EIS data of (a) MAO-S0 sample, (b) MAO-S10, MAO-S30 and MAO-S60
sample, (c) MAO-S90 sample.
Figure 10. Corrosion protection mechanism for the sealed films on 5B70 Al alloy.
Figure 11. Optical morphologies of the scratches on the MAO-S60 sample after immersion for different times in 3.5 wt% NaCl
solution. (a) 0 h, (b) 6 h and (c) 12 h.
providing greater possibilities for extending the invasion path of corrosive media. The corrosion mechanism
−
diagram was shown in figure 10. As the sealing time prolonged, the generated OH
effect on the alumina based sealing film, thereby reducing the integrity and anti-corrosion performance of the
sealing samples during long-term sealing treatment.
ions might have a dissolution
3.4. Scratching test
The self-healing performance of MAO-S60 sample with the best sealing effect in 3.5 wt% NaCl solution was
evaluated. Optical morphologies of the MAO-S60 sample with the scratches after immersion for different times
were displayed in figure 11. It was noteworthy that no obvious self-healing morphology was observed on the
MAO-S60 sample surface after immersion for 6 h. However, the scratches on the sample surface could be
effectively healed in a 3.5 wt% NaCl solution after immersion for 12 h, indicating the generation of self-healing
11
Phys. Scr. 98 (2023) 125924
M Wu and F Jiang
Figure 12. Potentiometric polarization curves of the MAO-S60 sample with scratches after self-healing treatment in 3.5 wt% NaCl
solution for different times.
Figure 13. Surface morphologies of the scratch area after self-sealing treatment in a 3.5 wt% NaCl solution: the SEM image of the
scratch area after self-sealing treatment for 6 h (a), the locally enlarged view of figure 13(a), (b), the locally enlarged view of
figures 13(b), (c); the EDS elemental mapping figure 13(c): (d) Al map; (e) O map; the EDS element analysis of P1(f) and P2(g) in
figure 13(c); the SEM images of the scratch area after self-sealing treatment for 12 h (h), the locally enlarged view of figure 13(h), (i),
and the locally enlarged view of figure 13(i) (j); the EDS elemental mapping figure 13(j): (k) Al map; (l) O map; the EDS element
analysis of P3(m) and P4(n) in figure 13(j).
products here. In general, as you could see from the optical morphologies of scratches, the sealing film on the
MAO-S60 sample surface had good self-healing effect after immersion in 3.5 wt% NaCl solution for 12 h.
In order to further determine the self-healing effect, electrochemical tests were conducted on MAO-S60
sample with scratches. Figure 12 displayed the potentiodynamic polarization curves of MAO-S60 samples with
scratches after self-healing treatment in a 3.5 wt% NaCl solution for different time. The fitting results were
shown in table 3. The Ecorr of MAO-S60 sample without self-sealing treatment was −0.790 V, and the icorr was
−2. However, after immersion in 3.5 wt% NaCl solution for 12 h, the Ecorr was increased to
4.29 × 10
−2. The improvement of anti-corrosion performance
−0.647 V and the icorr was reduced to 2.92 × 10
proved that scratch area was effectively repaired after self-healing treatment in 3.5 wt% NaCl solution. That was
to say, self-healing products should help improve corrosion resistance, which confirmed that the sealing film has
self-healing ability in 3.5 wt% NaCl solution.
−8 A cm
−8A·cm
Figure 13 showed the surface morphologies and the EDS element analysis of scratch area after self-sealing
treatment for 6 h and 12 h in 3.5 wt% NaCl solution. In figure 13(a), EDS analysis showed that there was no
significant self-healing effect, and a small amount of oxide or hydroxide of Al was generated in the scratch area.
In figure 13(b), the scratched area presented varying degrees of expansion and coverage of corrosion products.
EDS element analysis suggested that pitting corrosion preferentially occurred around Al3(Sc, Zr) particles in the
scratch area. There was a large amount of oxide or hydroxide of Al around the corrosion pit. Hence, the
12
1
3
Table 3. Polarization fitting results of the MAO-S60 sample with scratches after self-healing treatment in 3.5 wt% NaCl solution for different times.
Immersion time/h
Corrosion potential Ecorr/V(SCE)
Current density icorr/ (A·cm
−2)
Anodic slope βa(V/dec.)
Cathodic slope -βc(V/dec.)
Polarization resistance Rp(Ω·cm2)
Corrosion rate CR(A·cm
−2)
0
6
12
−0.790
−0.825
−0.647
4.29E-8
5.25E-6
2.92E-9
0.198
0.194
0.168
0.138
0.178
0.142
1.01E7
8.28E5
1.49E8
9.80E-7
1.19E-4
6.67E-8
P
h
y
s
.
S
c
r
.
9
8
(
2
0
2
3
)
1
2
5
9
2
4
M
W
u
a
n
d
F
J
i
a
n
g
Phys. Scr. 98 (2023) 125924
M Wu and F Jiang
Figure 14. XPS on the scratch area on MAO-S60 sample after immersion for 12 h in 3.5%wt NaCl solution.
appearance of corrosion morphology indicated that the pitting corrosion had an adverse effect on the self-
healing performance of sealing film.
The scratch area on MAO-S60 sample after immersion for 12 h was detected through XPS technique to
determine the composition of self-healing product. As shown from the high-resolution spectrum of Ce 3d, Al 2p
and O1s in figure 14, the Ce 3d peak of the scratch area on MAO-S60 sample was similar to that of the sample
without scratches. This meant that CeO2 was not involved in the self-healing reaction in 3.5 wt% NaCl solution.
The binding energy of Al 2p was about 75.0 eV, 74.4 eV, corresponding to Al2O3 and Al(OH)3, respectively. The
O1s peak could be divided into two peaks, corresponding to Al(OH)3 at 531.4 eV and Al2O3 at 532.2 eV,
respectively. It could be inferred that the exposed Al substrate could react with O2 and H2O to form Al(OH)3 to
repair the film in the scratch area. This dense insoluble precipitate covered the entire scratch area after
immersion for 12 h, delaying the invasion of corrosion ions into the alloy surface and achieving self-healing
effect.
4. Conclusion
(1) GO could better fix the corrosion inhibitor through its inherent lamellar structure and fold state. CeO2 grew
readily along the lamellar structure of GO to obtain a thicker lamellar structure, effectively extending the
diffusion path of the corrosive medium, thereby preventing the leakage of corrosion inhibitor, and
enhancing the corrosion resistance of the sealing films.
−8 A cm
(2) The GO/Al2O3 composite film after sealing treatment for 60 min had the best corrosion resistance, which
was mainly manifested as: the RP and CR of potentiometric polarization curve were 3.63 × 107 Ω cm2 and
−2, respectively. The impedance values of the sealing film in EIS were 1.519 × 108 Ω cm
2.38 × 10
−2.
(3) Scratch experiments showed that CeO2-sealed GO/Al2O3 composite film had self-healing properties, which
could automatically and independently repair defects partially, thereby extending the service life of the
workpiece.
Acknowledgments
This work was supported by the Fundamental Research Funds for the Central Universities of Central South
University (NO.2023ZZTS0360).
Data availability statement
The data cannot be made publicly available upon publication because they contain sensitive personal
information. The data that support the findings of this study are available upon reasonable request from the
authors.
Declaration of interests
The authors declare that they have no known competing financial interests or personal relationships that could
have appeared to influence the work reported in this paper.
14
Phys. Scr. 98 (2023) 125924
ORCID iDs
Feng Jiang
https://orcid.org/0000-0003-0239-259X
References
M Wu and F Jiang
[1] Wu M and Jiang F 2021 Investigation of alloying element Mg in the near surface layer of micro-arc oxidation coating on Al-Mg-Sc alloy
Vacuum 197 110823
[2] Zhongqin Tang F J, Long M, Jiang J, Liu H and Tong M 2020 Effect of annealing temperature on microstructure perties and corrosion
behavior of Al-Mg-Mn-Sc-Zr alloy Appl. Surf. Sci. 514 146081
[3] Sakata K et al 2013 Development of nanoporous alumina catalyst support by anodic oxidation of thermally and kinetically sprayed
aluminum coatings J. Therm. Spray Technol. 22 138–44
[4] Bashir M I et al 2017 Enhanced surface properties of aluminum by PVD-TiN coating combined with cathodic cage plasma nitriding
Surf. Coat. Technol. 327 59–65
[5] Sanjay S and Baskar K 2018 Fabrication of Schottky barrier diodes on clump of gallium nitride nanowires grown by chemical vapour
deposition Appl. Surf. Sci. 456 526–31
[6] Li Y and Shi Y 2020 Microstructure and wear resistance of the laser-cladded Al0.8CrFeCoNiCu0.5Bx high-entropy alloy coating on
aluminum Mater. Res. Express 7 026517
[7] Wu M and Jiang F 2023 Effect of Na2SiO3 concentration on corrosion resistance and wear resistance of MAO ceramic film on the Al-
Mg-Sc alloy Int. J. Appl. Ceram. Technol. 20 1828–45
[8] Askarnia R et al 2022 Effect of graphene oxide on properties of AZ91 magnesium alloys coating developed by micro-arc oxidation
process J. Alloys Compd. 892 162106
[9] Yan L et al 2019 One-step in situ synthesis of reduced graphene oxide/Zn-Al Layered double hydroxide film for enhanced corrosion
protection of magnesium alloys Langmuir 19 6312–20
[10] Wang T et al 2019 Triple-stimuli-responsive smart nanocontainers enhanced self-healing anticorrosion coatings for protection of
aluminum alloy ACS Appl. Mater. Interfaces 11 4425–38
[11] Manasa S et al 2017 Effect of inhibitor loading into nanocontainer additives of self-healing corrosion protection coatings on aluminum
alloy A356 J. Alloys Compd. 726 969–77
[12] Gnedenkov A S et al 2016 Localized corrosion of the Mg alloys with inhibitor-containing coatings: SVET and SIET studies Corros. Sci.
102 269–78
[13] Liu D et al 2019 Enhancing the self-healing property by adding the synergetic corrosion inhibitors of Na3PO4 and
2-mercaptobenzothiazole into the coating of Mg alloy Electrochim. Acta 323 134796
[14] Gong Y et al 2021 Self-healing performance and corrosion resistance of novel CeO2-sealed MAO film on aluminum alloy Surf. Coat.
Technol. 417 127208
[15] Bêche E et al 2008 Ce 3d XPS investigation of cerium oxides and mixed cerium oxide (CexTiyOz) Surf. Interface Anal. 40 264–7
[16] Sykora R E et al 2004 Isolation of intermediate-valent Ce (III)/Ce (IV) hydrolysis products in the preparation of cerium iodates:
electronic and structural aspects of Ce2 (IO3) 6 (OH x)(x ≈ 0 and 0.44) Chem. Mater. 16 1343–9
[17] Wu M, Jiang F and Jiang J 2022 Effect of Na2SiO3 concentration on microstructure and corrosion resistance of MAO coatings prepared
on Al-Mg-Sc alloys Anti-Corrosion Methods and Materials 69 417–25
[18] Deng Y et al 2020 Comparative investigations on the electrochemical behaviors among Al and aluminum alloys Mater. Res. Express 7
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Article
Quantitative Loop-Mediated Isothermal Amplification
Detection of Ustilaginoidea virens Causing Rice False Smut
Yu Zhang, Xinyue Li †, Shuya Zhang, Tianling Ma *, Chengxin Mao and Chuanqing Zhang *
Department of Plant Pathology, Zhejiang Agriculture and Forest University, Hangzhou 311300, China;
zy1335659339@163.com (Y.Z.); lixinyue1992@126.com (X.L.); 15168349553@163.com (S.Z.);
zafumaocx@163.com (C.M.)
* Correspondence: czipotw@163.com (T.M.); cqzhang@zafu.edu.cn (C.Z.)
† Current address: Station of Agriculture Techniques of Zhenhai District, Ningbo 315200, China.
Abstract: Rice false smut caused by Ustilaginoidea virens is one of the most devastating diseases in rice
worldwide, which results in serious reductions in rice quality and yield. As an airborne fungal disease,
early diagnosis of rice false smut and monitoring its epidemics and distribution of its pathogens is
particularly important to manage the infection. In this study, a quantitative loop-mediated isothermal
amplification (q-LAMP) method for U. virens detection and quantification was developed. This
method has higher sensitivity and efficiency compared to the quantitative real-time PCR (q-PCR)
method. The species-specific primer that the UV-2 set used was designed based on the unique
sequence of the U. virens ustiloxins biosynthetic gene (NCBI accession number: BR001221.1). The
q-LAMP assay was able to detect a concentration of 6.4 spores/mL at an optimal reaction temperature
of 63.4 ◦C within 60 min. Moreover, the q-LAMP assay could even achieve accurate quantitative
detection when there were only nine spores on the tape. A linearized equation for the standard curve,
y = −0.2866x + 13.829 (x is the amplification time, the spore number = 100.65y), was established for the
detection and quantification of U. virens. In field detection applications, this q-LAMP method is more
accurate and sensitive than traditional observation methods. Collectively, this study has established a
powerful and simple monitoring tool for U. virens, which provides valuable technical support for the
forecast and management of rice false smut, and a theoretical basis for precise fungicide application.
Keywords: rice false smut; quantitative loop-mediated isothermal amplification (q-LAMP); detection;
ustiloxins biosynthetic gene
1. Introduction
Rice false smut is a disease affecting rice spikes that occurs from the flowering to the
milking stage [1,2]. Its most typical and visible symptom is the replacement of rice grains
with false smut balls [3,4]. It occurs mainly in Asian countries such as China, Japan, Korea,
the Philippines, and India, and is one of the most devastating diseases in the world’s major
rice producing regions [5–8]. In recent years, due to the promotion of short-stalked compact
and high-yielding rice varieties, indica–japonica interspecific hybrid rice combinations,
changes in cultivation patterns, and the excessive use of nitrogen fertilizer during the
tillering and gestation periods, the occurrence of rice false smut has become increasingly
serious and has gradually risen from a previously minor or sporadic disease to become one
of the three new major diseases affecting rice in China [9,10].
The damage caused not only results in a decrease in rice quality and yield, but also
the generation of mycotoxin ustiloxins on infected rice spikelets [11,12]. As antimitotic
cyclopeptide mycotoxins, the ustiloxins produced within a false smut ball can inhibit
microtubule assembly and cell skeleton formation, which poses a serious threat to farmland
preservation and ecosystems, as well as the health of humans and animals [13]. Strategies
to manage this devastating disease are therefore urgently needed.
Citation: Zhang, Y.; Li, X.; Zhang, S.;
Ma, T.; Mao, C.; Zhang, C.
Quantitative Loop-Mediated
Isothermal Amplification Detection
of Ustilaginoidea virens Causing Rice
False Smut. Int. J. Mol. Sci. 2023, 24,
10388. https://doi.org/10.3390/
ijms241210388
Academic Editor: Fucheng Lin
Received: 28 April 2023
Revised: 14 June 2023
Accepted: 19 June 2023
Published: 20 June 2023
Copyright: © 2023 by the authors.
Licensee MDPI, Basel, Switzerland.
This article is an open access article
distributed under
the terms and
conditions of the Creative Commons
Attribution (CC BY) license (https://
creativecommons.org/licenses/by/
4.0/).
Int. J. Mol. Sci. 2023, 24, 10388. https://doi.org/10.3390/ijms241210388
https://www.mdpi.com/journal/ijms
International Journal of Molecular SciencesInt. J. Mol. Sci. 2023, 24, 10388
2 of 13
It is widely accepted that Ustilaginoidea virens (teleomorph Villosiclava virens) is the
causal agent of rice false smut [14,15]. As a typical airborne disease, virulent pathogen
spores land on the surface of a rice spikelet and germinate hyphae as well as false smut
balls on the spikelet [3,12,16–18]. Thus, the epidemic of rice false smut is closely related to
the amount of U. virens spores in the field, and the diagnosis of rice false smut, combined
with accurate detection and spore quantification, is of great importance for its prevention
and management [5,19]. Traditionally, the microscopic counting of spores after capture
is widely used in rice false smut diagnosis; however, this method requires specialist
taxonomic technicians [20]. Given the complexity of environmental samples and human
subjectivity, it is difficult to obtain reliable data with high efficiency via microscopic analysis.
A quantitative real-time PCR (q-PCR) technique has been applied for the early identification
and quantification of pathogens in airborne diseases [21]. However, this technique is
susceptible to interference from environmental dust and other pathogens, making it difficult
to quantify the low concentrations of spores captured [20].
in
Loop-mediated isothermal amplification (LAMP), developed by Notomi et al.
2000, is a non-PCR-based nucleic acid amplification technique that can be used for the
molecular detection of various bacteria, viruses, fungi in disease diagnosis [22–24]. The
LAMP reaction is carried out at a constant temperature (between 60 and 65 ◦C) in less
than an hour through the use of two pairs of primers—an inner primer (FIP/BIP) and an
outer primer (F3/B3). These two pairs of primers constitute the basic LAMP primer set
for the LAMP reaction, in order to recognize specific nucleic acid sequences of monitored
targets [25–27]. An additional pair of LAMP primers, loop primers, can also be used to
significantly improve LAMP efficiency. A simple and visual LAMP assay was developed
by Yang et al. in 2018 for the rapid diagnosis of U. virens [28]. However, this assay cannot
be used directly for quantitative detection of complex DNA samples. The quantitative-
LAMP (q-LAMP) assay (DiaSorin S.p.A., Saluggia, Italy) is a technical improvement from
the classical LAMP, which combines LAMP technology with the real-time fluorescence
quantitative PCR technique [29]. It is based on the addition of nucleic acid fluorescent dyes,
such as SYBR Green or SYTO, resulting in a more sophisticated method suitable for the
needs of field diagnosis [30,31]. In this study, we aimed to design and develop a specific and
sensitive q-LAMP assay for detection and quantification U. virens, which can be applied in
the early diagnosis of rice false smut for preventing the spread of this devastating airborne
disease. Additionally, this study is the first report to describe a quantitative diagnostic test
for the detection of U. virens using q-LAMP.
2. Results
2.1. Design of Primers for U. virens Detection
The best LAMP UV-2 primers were designed based on the ustiloxins biosynthetic gene
sequence of U. virens (NCBI accession number: BR001221.1) that did not show any simi-
larities to other sequences available in the National Center for Biotechnology Information
(NCBI) GenBank database, in order to allow specific amplification of U. virens (Figure 1,
Table 1) [32–34]. Additionally, the UV-2 primer sets met the requirement that ∆G values
must be less than or equal to −4 Kcal/mol at the 3(cid:48)end of F3/B3 and F2/B2 and 5(cid:48)ends of
F1c and B1c.
2.2. Optimization of the q-LAMP Assay
To optimize the q-LAMP assay system, the q-LAMP assay was carried out using the
UV-2 primer sets at temperatures ranging from 61.8 ◦C to 66 ◦C. As shown in Figure 2,
the fluorescence quantitative results show that the strongest fluorescence intensity and the
shortest reaction time were obtained when the reaction temperature was 63.4 ◦C (which
reached the amplification peak at 30 min). Thus, 63.4 ◦C was chosen as the reaction
temperature at which to carry out the optimal q-LAMP assays.
Int. J. Mol. Sci. 2023, 24, 10388
3 of 13
Figure 1. The species-specific primers for detecting Ustilaginoidea virens in the quantitative loop-
mediated isothermal amplification (q-LAMP) and quantitative real-time PCR (q-PCR). The species-
specific primers designed based on the sequence of the ustiloxins biosynthetic gene segments for
identification and quantification of U. virens in q-LAMP assay and q-PCR assay. The forward and
reverse primer sequences were highlighted with shade and arrow for orientation.
Table 1. The sequences of species-specific primers used in the quantitative loop-mediated isothermal
amplification (q-LAMP) assay and quantitative real-time PCR (q-PCR) assay.
Serial Number
UV-2
Sequence (5(cid:48)–3(cid:48))
F3
B3
FIP(F1c-F2)
BIP(B1c-B2)
GGCACAGCATGACAGGATG
TGCTCCCACACTGGTAGT
CCTGACATGGCCGGTTTCCCGACGCATGGCCAATAACTCC
AGCGGGGCACTTAGGTTCTGCCAATCAAGGCAGCTGATCT
Figure 2. Optimization of the q-LAMP assay via reaction temperature screening. The influence of
temperature ranged from 61.8 ◦C to 66 ◦C in the q-LAMP detection system and showed that the
strongest fluorescence intensity and the shortest reaction time were obtained at 63.4 ◦C (black line).
Int. J. Mol. Sci. 2023, 24, x FOR PEER REVIEW 3 of 14 Table 1. The sequences of species-specific primers used in the quantitative loop-mediated isother-mal amplification (q-LAMP) assay and quantitative real-time PCR (q-PCR) assay. Serial Number Sequence (5′–3′) UV-2 F3 GGCACAGCATGACAGGATG B3 TGCTCCCACACTGGTAGT FIP(F1c-F2) CCTGACATGGCCGGTTTCCCGACGCATGGCCAATAACTCC BIP(B1c-B2) AGCGGGGCACTTAGGTTCTGCCAATCAAGGCAGCTGATCT Figure 1. The species-specific primers for detecting Ustilaginoidea virens in the quantitative loop-mediated isothermal amplification (q-LAMP) and quantitative real-time PCR (q-PCR). The species-specific primers designed based on the sequence of the ustiloxins biosynthetic gene segments for identification and quantification of U. virens in q-LAMP assay and q-PCR assay. The forward and reverse primer sequences were highlighted with shade and arrow for orientation. 2.2. Optimization of the q-LAMP Assay To optimize the q-LAMP assay system, the q-LAMP assay was carried out using the UV-2 primer sets at temperatures ranging from 61.8 °C to 66 °C. As shown in Figure 2, the fluorescence quantitative results show that the strongest fluorescence intensity and the shortest reaction time were obtained when the reaction temperature was 63.4 °C (which reached the amplification peak at 30 min). Thus, 63.4 °C was chosen as the reaction tem-perature at which to carry out the optimal q-LAMP assays. Int. J. Mol. Sci. 2023, 24, x FOR PEER REVIEW 4 of 14 Figure 2. Optimization of the q-LAMP assay via reaction temperature screening. The influence of temperature ranged from 61.8 °C to 66 °C in the q-LAMP detection system and showed that the strongest fluorescence intensity and the shortest reaction time were obtained at 63.4 °C (black line). 2.3. Specificity Validation of the q-LAMP Assay System The specificity validation of design in the q-LAMP assay system (using UV-2 primer sets and 63.4 °C as reaction temperature) was tested using the U. virens stain and the other nine fungi. The results show that fluorescence signals were detected in the samples with the DNA template of U. virens, while the samples with the DNA template of the other nine fungi or ddH2O (negative control) did not show any fluorescence signal (Figure 3), indi-cating that the design of the q-LAMP assay system was highly specific to the detection of U. virens. Figure 3. Specificity validation of the q-LAMP assay system. The q-LAMP assay system (using UV-2 primer sets and 63.4 °C as reaction temperature) was highly specific for the detection of U. virens. The q-LAMP assay system showed that fluorescence signals were only detected in the samples with DNA template of U. virens (black line), while the samples with DNA template of the other 9 fungi (including Fusarium fujikuroi, F. oxysporum, F. proliferatum, F. solani, F. graminearum, Penicillium sp., Int. J. Mol. Sci. 2023, 24, 10388
4 of 13
2.3. Specificity Validation of the q-LAMP Assay System
The specificity validation of design in the q-LAMP assay system (using UV-2 primer
sets and 63.4 ◦C as reaction temperature) was tested using the U. virens stain and the other
nine fungi. The results show that fluorescence signals were detected in the samples with
the DNA template of U. virens, while the samples with the DNA template of the other
nine fungi or ddH2O (negative control) did not show any fluorescence signal (Figure 3),
indicating that the design of the q-LAMP assay system was highly specific to the detection
of U. virens.
Figure 3. Specificity validation of the q-LAMP assay system. The q-LAMP assay system (using UV-2
primer sets and 63.4 ◦C as reaction temperature) was highly specific for the detection of U. virens.
The q-LAMP assay system showed that fluorescence signals were only detected in the samples with
DNA template of U. virens (black line), while the samples with DNA template of the other 9 fungi
(including Fusarium fujikuroi, F. oxysporum, F. proliferatum, F. solani, F. graminearum, Penicillium sp.,
Pyricularia oryzae, Alternaria alternata and Rhizoctonia solani) or negative control (nucleic acid-free
water) did not show any fluorescence signal.
2.4. Sensitivity Validation of the q-LAMP Assay System
The sensitivity validation of the q-LAMP assay was determined using the genomic DNA
of gradient dilution of U. virens spores as templates under optimal conditions (using primer
sets UV-2 and 63.4 ◦C as reaction temperature). As shown in Table 2 and Figure 4, the fluo-
rescence signals were detected in the samples with 2 × 104 spores/mL, 4 × 103 spores/mL,
8 × 102 spores/mL, 1.6 × 102 spores/mL, 32 spores/mL, and 6.4 spores/mL within 60 min
(the spore extracts were used as DNA template in q-LAMP assay system), while no signals
were detected in the sample with the DNA template of 1.28 spores/mL. Thus, theoretically,
the q-LAMP assay was able to detect the sample with a concentration of 6.4 spores/mL.
We also compared the sensitivity of the q-LAMP assay system with quantitative real-time
PCR (q-PCR) for U. virens detection. The q-PCR assay was carried out using the FB/B3
primer set and the effective amplification reactions were detected in samples with spore
concentrations of 2 × 104, 4 × 103, 8 × 102, 1.6 × 102 spores/mL, but not 32 spores/mL
(Supplementary Figure S1). Thus, the q-LAMP assay system is more sensitive and efficient
compared to the q-PCR system used in this study.
2.5. Establishment of a Standard Curve for q-LAMP Detection of U. virens
A standard curve between the amplification time (x) and the Log10 value of spore
number (y) was constructed based on the q-LAMP assay: y = −0.2866x + 13.829 (Figure 5,
Supplementary Table S1), the formula used for calculating spore number is 100.65y, and the
correlation coefficient R2 = 0.9942, showing a good linear relationship.
Int. J. Mol. Sci. 2023, 24, x FOR PEER REVIEW 4 of 14 Figure 2. Optimization of the q-LAMP assay via reaction temperature screening. The influence of temperature ranged from 61.8 °C to 66 °C in the q-LAMP detection system and showed that the strongest fluorescence intensity and the shortest reaction time were obtained at 63.4 °C (black line). 2.3. Specificity Validation of the q-LAMP Assay System The specificity validation of design in the q-LAMP assay system (using UV-2 primer sets and 63.4 °C as reaction temperature) was tested using the U. virens stain and the other nine fungi. The results show that fluorescence signals were detected in the samples with the DNA template of U. virens, while the samples with the DNA template of the other nine fungi or ddH2O (negative control) did not show any fluorescence signal (Figure 3), indi-cating that the design of the q-LAMP assay system was highly specific to the detection of U. virens. Figure 3. Specificity validation of the q-LAMP assay system. The q-LAMP assay system (using UV-2 primer sets and 63.4 °C as reaction temperature) was highly specific for the detection of U. virens. The q-LAMP assay system showed that fluorescence signals were only detected in the samples with DNA template of U. virens (black line), while the samples with DNA template of the other 9 fungi (including Fusarium fujikuroi, F. oxysporum, F. proliferatum, F. solani, F. graminearum, Penicillium sp., Int. J. Mol. Sci. 2023, 24, 10388
5 of 13
Table 2. The time for fluorescence signal to reach the fluorescence threshold and fluorescence signal
records in the q-LAMP assays for testing samples with known spore concentration.
Spore Concentration
(Spores/mL)
Time a (min)
(Mean ± Standard Deviation)
Fluorescence Signals b
2 × 104
4 × 103
8 × 102
1.6 × 102
3.2 × 101
6.4
1.28
CK c
17.90 ± 1.64
31.44 ± 0.71
34.68 ± 1.26
37.92 ± 1.53
41.16 ± 0.98
44.40 ± 2.42
+
+
+
+
+
+
−
−
a Time for fluorescence signal reaching the fluorescence threshold in the q-LAMP assays. b “+” indicates a
successful fluorescence signal detection, “−” indicates no fluorescence signal detected in the q-LAMP assays.
c The nucleic acid-free water was used negative control (CK) in the q-LAMP assay.
Figure 4. Sensitivity validation of q-LAMP system. The fluorescence signals in q-LAMP assays
were detected in the samples with DNA template of 2 × 104 spores/mL, 4 × 103 spores/mL,
8 × 102 spores/mL, 1.6 × 102 spores/mL, 32 spores/mL, and 6.4 spores/mL within 60 min, while no
signals were detected in sample with DNA template of 1.28 spores/mL and CK. The bolded dark
green line (horizontal) indicates fluorescence threshold. Fluorescence signals above this threshold
marked as a successful detection of U. virens in q-LAMP assays.
2.6. Application of q-LAMP Assay for U. virens Spore Calculation
The standard curve of q-LAMP was applied to calculate U. virens spore number
on tapes, and each tape sample contained 450, 116, 29, and 9 manually added spores,
respectively. As shown in Table 3 and Figure 6, the amplification times quantitated using
the cycle threshold (Ct) values for the tested samples were 34.03, 37.12, 40.46, and 43.17,
corresponding to 446.07, 118.51, 28.29, and 8.85 predicted spores per tape, respectively,
which is very close to the actual spore number on each Melinex tape. Thus, this q-LAMP
system can efficiently quantitate U. virens spore number with high accuracy.
Int. J. Mol. Sci. 2023, 24, x FOR PEER REVIEW 6 of 14 Figure 4. Sensitivity validation of q-LAMP system. The fluorescence signals in q-LAMP assays were detected in the samples with DNA template of 2 × 104 spores/mL, 4 × 103 spores/mL, 8 × 102 spores/mL, 1.6 × 102 spores/mL, 32 spores/mL, and 6.4 spores/mL within 60 min, while no signals were detected in sample with DNA template of 1.28 spores/mL and CK. The bolded dark green line (horizontal) indicates fluorescence threshold. Fluorescence signals above this threshold marked as a successful detection of U. virens in q-LAMP assays. 2.5. Establishment of a Standard Curve for q-LAMP Detection of U. virens A standard curve between the amplification time (x) and the Log10 value of spore number (y) was constructed based on the q-LAMP assay: y = −0.2866x + 13.829 (Figure 5, Supplementary Table S1), the formula used for calculating spore number is 100.65y, and the correlation coefficient R2 = 0.9942, showing a good linear relationship. Figure 5. Standard curve of q-LAMP detection system. A standard curve between logarithmic values of the spore number (y) and the amplification time quantitated using the cycle threshold (Ct) values (x): y = −0.2866x + 13.829. The correlation coefficient (R2) is 0.9942, showing a good linear relation-ship. Int. J. Mol. Sci. 2023, 24, 10388
6 of 13
Figure 5. Standard curve of q-LAMP detection system. A standard curve between logarithmic
values of the spore number (y) and the amplification time quantitated using the cycle threshold
(Ct) values (x): y = −0.2866x + 13.829. The correlation coefficient (R2) is 0.9942, showing a good
linear relationship.
Table 3. Quantitative detection of U. virens spores using q-LAMP system.
Ct a
34.03
37.12
40.46
43.17
Manually Added Spores
(Spores/mL)
Predictive Spores
(Spores/mL)
R2
p Value
450
116
29
9
446.07
118.51
28.29
8.85
0.999
0.639
a the amplification times (x) quantitated using the cycle threshold (Ct) values.
Figure 6. Quantitative detection of U. virens spores on Melinex tape using q-LAMP system. Serial
numbers 1, 2, 3, and 4 represent 450, 116, 29, and 9 spores, respectively. The green line (horizontal)
indicates fluorescence threshold. Fluorescence signals above this threshold marked as a successful
detection of U. virens in q-LAMP assays.
Int. J. Mol. Sci. 2023, 24, x FOR PEER REVIEW 6 of 14 Figure 4. Sensitivity validation of q-LAMP system. The fluorescence signals in q-LAMP assays were detected in the samples with DNA template of 2 × 104 spores/mL, 4 × 103 spores/mL, 8 × 102 spores/mL, 1.6 × 102 spores/mL, 32 spores/mL, and 6.4 spores/mL within 60 min, while no signals were detected in sample with DNA template of 1.28 spores/mL and CK. The bolded dark green line (horizontal) indicates fluorescence threshold. Fluorescence signals above this threshold marked as a successful detection of U. virens in q-LAMP assays. 2.5. Establishment of a Standard Curve for q-LAMP Detection of U. virens A standard curve between the amplification time (x) and the Log10 value of spore number (y) was constructed based on the q-LAMP assay: y = −0.2866x + 13.829 (Figure 5, Supplementary Table S1), the formula used for calculating spore number is 100.65y, and the correlation coefficient R2 = 0.9942, showing a good linear relationship. Figure 5. Standard curve of q-LAMP detection system. A standard curve between logarithmic values of the spore number (y) and the amplification time quantitated using the cycle threshold (Ct) values (x): y = −0.2866x + 13.829. The correlation coefficient (R2) is 0.9942, showing a good linear relation-ship. Int. J. Mol. Sci. 2023, 24, x FOR PEER REVIEW 7 of 14 2.6. Application of q-LAMP Assay for U. virens Spore Calculation The standard curve of q-LAMP was applied to calculate U. virens spore number on tapes, and each tape sample contained 450, 116, 29, and 9 manually added spores, respec-tively. As shown in Table 3 and Figure 6, the amplification times quantitated using the cycle threshold (Ct) values for the tested samples were 34.03, 37.12, 40.46, and 43.17, cor-responding to 446.07, 118.51, 28.29, and 8.85 predicted spores per tape, respectively, which is very close to the actual spore number on each Melinex tape. Thus, this q-LAMP system can efficiently quantitate U. virens spore number with high accuracy. Table 3. Quantitative detection of U. virens spores using q-LAMP system. Ct a Manually Added Spores (Spores/mL) Predictive Spores (Spores/mL) R2 p Value 34.03 450 446.07 0.999 0.639 37.12 116 118.51 40.46 29 28.29 43.17 9 8.85 a the amplification times (x) quantitated using the cycle threshold (Ct) values. Figure 6. Quantitative detection of U. virens spores on Melinex tape using q-LAMP system. Serial numbers 1, 2, 3, and 4 represent 450, 116, 29, and 9 spores, respectively. The green line (horizontal) indicates fluorescence threshold. Fluorescence signals above this threshold marked as a successful detection of U. virens in q-LAMP assays. 2.7. Field Application of q-LAMP Assay System The q-LAMP system results show that spores of U. virens were first observed on the 27 August 2018, while the results obtained using the microscope show that spores were observed for the first time on the 2nd of September. Then, the number of spores began to rise rapidly and reached its peak on the 20 September and obvious symptoms of rice false trot were found in the field on the 25th of September. In the following year (2019), the q-LAMP system and microscope manual observation were used to monitor the spores of U. virens in the field again. The results showed that the q-LAMP system detected the spores for the first time on the 31st of August, while microscopic observation led to the detection of only a handful of spores on the 6th of September, and the concentration of spores reached its peak on the 30th of September. The symptoms of rice false smut were found Int. J. Mol. Sci. 2023, 24, 10388
7 of 13
2.7. Field Application of q-LAMP Assay System
The q-LAMP system results show that spores of U. virens were first observed on the
27 August 2018, while the results obtained using the microscope show that spores were
observed for the first time on the 2nd of September. Then, the number of spores began
to rise rapidly and reached its peak on the 20 September and obvious symptoms of rice
false trot were found in the field on the 25th of September. In the following year (2019),
the q-LAMP system and microscope manual observation were used to monitor the spores
of U. virens in the field again. The results showed that the q-LAMP system detected the
spores for the first time on the 31st of August, while microscopic observation led to the
detection of only a handful of spores on the 6th of September, and the concentration of
spores reached its peak on the 30th of September. The symptoms of rice false smut were
found in the field on the 5th of October. Through monitoring the dynamic changes in the
spore number of U. virens in the field for two consecutive years (Figure 7), it was clearly
seen that the q-LAMP system was faster and more efficient than the traditional microscopic
observation method.
Figure 7. Field application of U. virens spores using q-LAMP system. (A) Flow chart of field U. virens
spore sample detection, q-LAMP assay system and microscope observation were used for the collected
samples, respectively. (B) The results of U. virens spore concentration measured by different methods
in rice fields in 2018 (q-LAMP assay system is the gray line; microscope observation method is the
blue line). (C) The results of U. virens spore concentration measured by different methods in rice
fields in 2019 (q-LAMP assay system is the gray line; microscope observation method is the blue line).
The green arrow is the first detection of spores by q-LAMP assay system, the orange arrow is the first
observation of spores by microscope observation, and the red arrow is the occurrence time of rice
false smut in the field.
Int. J. Mol. Sci. 2023, 24, x FOR PEER REVIEW 8 of 14 in the field on the 5th of October. Through monitoring the dynamic changes in the spore number of U. virens in the field for two consecutive years (Figure 7), it was clearly seen that the q-LAMP system was faster and more efficient than the traditional microscopic observation method. Figure 7. Field application of U. virens spores using q-LAMP system. (A) Flow chart of field U. virens spore sample detection, q-LAMP assay system and microscope observation were used for the col-lected samples, respectively. (B) The results of U. virens spore concentration measured by different methods in rice fields in 2018 (q-LAMP assay system is the gray line; microscope observation method is the blue line). (C) The results of U. virens spore concentration measured by different meth-ods in rice fields in 2019 (q-LAMP assay system is the gray line; microscope observation method is the blue line). The green arrow is the first detection of spores by q-LAMP assay system, the orange arrow is the first observation of spores by microscope observation, and the red arrow is the occur-rence time of rice false smut in the field. 3. Discussion Currently, rice false smut disease caused by U. virens is one of the most devastating rice diseases in China, as well as many other countries [35]. The occurrence of rice false smut disease not only results in the decrease in rice quality and the serious loss of rice yield, but also threatens food safety due to its production of toxic mycotoxins within the false smut balls [10,11]. However, it has been found that rice false smut disease is difficult to control. As a typical airborne disease, the epidemic of rice false smut is closely related to the number of U. virens spores in the field; thus, early detection and warning are critical for preventing and mitigating rice false smut. In this study, a q-LAMP assay system was developed. The results show that the species-specific UV-2 primer sets in the q-LAMP assay system could correctly distinguish U. virens from the other nine air-dispersed fungi, including Fusarium fujikuroi, F. oxysporum, F. proliferatum, F. solani, F. graminearum, Penicil-lium sp, Pyricularia oryzae, Alternaria alternata, and Rhizoctonia solani (Figure 3). Addition-ally, sensitivity validation found that the q-LAMP assay was able to detect a concentration Int. J. Mol. Sci. 2023, 24, 10388
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3. Discussion
Currently, rice false smut disease caused by U. virens is one of the most devastating
rice diseases in China, as well as many other countries [35]. The occurrence of rice false
smut disease not only results in the decrease in rice quality and the serious loss of rice
yield, but also threatens food safety due to its production of toxic mycotoxins within
the false smut balls [10,11]. However, it has been found that rice false smut disease
is difficult to control. As a typical airborne disease, the epidemic of rice false smut is
closely related to the number of U. virens spores in the field; thus, early detection and
warning are critical for preventing and mitigating rice false smut. In this study, a q-LAMP
assay system was developed. The results show that the species-specific UV-2 primer sets
in the q-LAMP assay system could correctly distinguish U. virens from the other nine
air-dispersed fungi, including Fusarium fujikuroi, F. oxysporum, F. proliferatum, F. solani,
F. graminearum, Penicillium sp., Pyricularia oryzae, Alternaria alternata, and Rhizoctonia solani
(Figure 3). Additionally, sensitivity validation found that the q-LAMP assay was able
to detect a concentration of 6.4 U. virens spores/mL at an optimal reaction temperature
of 63.4 ◦C within 60 min (Figure 4), and the q-LAMP assay could even achieve accurate
quantitative detection when there were only nine U. virens spores on the Melinex tape
(Figure 6). Moreover, there was a good linear relationship between the spore amount (y)
and the amplification time (x) (Figure 5), which enables accurate quantification of U. virens
and early diagnosis of U. virens infection via q-LAMP assay.
The LAMP primer set consisted of two outer primers (forward primer F3 and backward
primer B3), two inner primers (forward inner primer FIP and backward inner primer BIP),
and two loop primers (forward loop F and backward loop B) (Supplementary Figure S2).
The outer primers (F3 and B3) were used in the initial steps of the LAMP reactions but later,
during the isothermal cycling, only the inner primers were used for strand-displacement
DNA synthesis. Outer and inner primers are necessary for LAMP primer design, while the
loop primers can be used to accelerate amplification reactions and improve the LAMP assay
efficiency [36]. In this study, the q-LAMP primer set was designed according to the work of
Wang et al. [20] and Li et al. [37], containing a forward inner primer (FIP), a backward inner
primer (BIP), and two outer (F3 and B3) primers. The ustiloxins biosynthetic gene sequence
was used to design primers to ensure their specificity. Meanwhile, we sequenced the
targeted region of ustiloxins biosynthetic gene in 15 U. virens stains and designed the primer
sets elaborately to eliminate the interference from nucleotide polymorphisms, ensuring the
amplification efficiency in U. virens detection (Figure 3).
For U. virens diagnosis, besides traditional disease diagnosis that includes the iden-
tification of symptoms, isolation of pathogens, and microscopic techniques, a conven-
tional nested-PCR assay has been developed for the detection U. virens in rice [6]. How-
ever, the nested-PCR has less sensitivity and cannot be used in accurate quantification of
U. virens [38]. Recently, the q-PCR technique and q-LAMP assay have been applied for the
identification and quantification of pathogens in disease diagnosis. In this study, we have
established these two systems for U. virens quantification. The q-PCR assay was carried
out using the F3/FB primer set and the effective amplification reactions were detected in
samples with spore concentrations of 2 × 104, 4 × 103, 8 × 102, 1.6 × 102 spores/mL, but
not 32 spores/mL (Supplementary Figure S1), indicating a lower sensitivity of q-PCR for
U. virens detection compared to the q-LAMP assay system.
Rice false smut has no symptoms in the early stage and can only be identified in the
late stage when the smut balls appear. Chemical control is the main means of rice false
smut prevention and control [39]. The previous study showed that the first 4~15 d of
ear bud breakage was the main period of control, and the first 4~7 d of control was the
best [40]. If the key window in the infection of U. virens in rice is not grasped, the efficacy of
management will be inadequate [16,40]. Therefore, for rice false smut that relies on airborne
transmission, early detection and early warning can aid in disease prevention and control.
In this study, we collected spore samples of U. virens from the field for two consecutive years
using the q-LAMP assay system and microscopic observation. Compared with manual
Int. J. Mol. Sci. 2023, 24, 10388
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observation, the q-LAMP assay system could detect spores in the air more accurately and
quickly, providing a theoretical basis for precise fungicide application (Figure 7). Therefore,
the q-LAMP assay, with higher efficiency and sensitivity, is a better choice for the early
diagnosis of rice false smut.
In conclusion, this is the first assay developed for the detection of U. virens using
q-LAMP assays. Compared with other U. virens detection methods, the newly developed
LAMP assay has superior operability, specificity, and sensitivity, and is more suitable for
the quantitative detection of U. virens and early diagnosis.
4. Materials and Methods
4.1. Fungal Isolates
Isolates of Ustilaginoidea virens and the nine other fungal pathogens used in this study
were isolated and identified in our lab, and detailed information on each fungus is listed in
Table 4. Isolates were maintained on potato dextrose agar (PDA, prepared by 200 g potato,
20 g glucose, and 20 g agar per 1 L pure water) slants at 4 ◦C.
Table 4. The information of strains used in the specificity validation of the q-LAMP assay system.
Species
Fusarium fujikuroi
F. oxysporum
F. proliferatum
F. solani
F. graminearum
Penicillium sp.
Ustilaginoidea virens
Pyricularia oryzae
Alternaria alternata
Rhizoctonia solani
Isolate NO.
/
ACCC30927 a
CICC2489 b
ACCC37119
ACCC37680
ACCC31507
ACCC2711
ACCC37631
ACCC36843
ACCC36246
Host
Rice
Rice
Rice
Rice
Wheat
Soil
Rice
Rice
Rice
Rice
Origin
Zhejiang, China
Hainan, China
Anhui, China
Hebei, China
Jiangxi, China
Shandong, China
Hunan, China
Fujian, China
Hainan, China
Beijing, China
a ACCC (Agricultural Culture Collection of China). b CICC (China Center of Industrial Culture Collection).
4.2. DNA Template Preparation from Mycelium and Spores for q-PCR and q-LAMP Analysis
Preparation of mycelial DNA template for optimum conditions and specificity of the q-
LAMP assay, after mycelia grew covering two-thirds of the PDA plate surfaces, the hyphae
were then transferred to a mortar and ground with liquid nitrogen. The resultant powder
was then placed into a 2-mL centrifuge tube and the mycelial DNA of each fungus was
extracted using a Genomic DNA Kit (Sangon Biotech Co., Ltd., Shanghai, China) according
to the manufacturer’s instructions. The extracted DNA was used as DNA template in q-
LAMP analyses and stored at −20 ◦C. For spore DNA template preparation, after growing
on PDA medium at 25 ◦C in darkness for 20 days, 5 mm diameter mycelial plugs taken from
colony margin were placed into the potato sucrose (PS, prepared by 200 g potato and 20 g
sucrose per 1 L pure water) medium at 25 ◦C 150 rpm, in darkness for 7 days. Spores were
separated from medium with filtration through four layers of lens tissue and washed twice
with distilled water. Then, spores were diluted with 10% sodium dodecylsulfate (SDS)
solution into a series of concentration gradients. An amount of 1-mL spore suspension
sample of known concentration mixed with 200-µL 10% Chelex-100 solution [20], 50-µL
10% SDS solution and 0.4 g acid-washed glass beads was placed into a 2.0-mL centrifuge
tube. The sample was lysed by Fast Prep Apparatus (JXFSTPRP-24L, Jingxin Technology,
Shanghai, China) for 40 s at speed of 6 m/s and placed in boiling water bath for 5 min.
The grinding and heating steps were repeated three times, after which the sample was
placed on ice for 2 min. The cooled lysate was used directly as DNA template in q-PCR
and q-LAMP analyses and stored at −20 ◦C.
Int. J. Mol. Sci. 2023, 24, 10388
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4.3. Design of q-LAMP Primers for U. virens Detection
Ustiloxin A and Ustiloxin B of U. virens are synthesized by ustiloxins biosynthetic gene
that was found to be species-specific to U. virens [13,41]. Thus, the sequence of ustiloxins
biosynthetic gene (NCBI accession number: BR001221.1) was chosen for q-LAMP primer
design using Primer Explore V5 (online web service, http://primerexplorer.jp/e/) ensuring
the specificity and accuracy of q-LAMP assay system for U. virens detection. The q-LAMP
primers contain forward inner primer (FIP), backward inner primer (BIP), and two outer
(F3 and B3) primers (Supplementary Figure S2). The primers were designed according to
the following rules: ∆G values of less than or equal to −4 Kcal/mol at the 3(cid:48)end of F3/B3
and F2/B2 and 5(cid:48)ends of F1c and B1c.
4.4. Determination of Optimum Condition of the q-LAMP Assay
To better facilitate the efficiency of q-LAMP reaction, the LAMP reaction system
was improved via screening for the optimal reaction temperature based on a reference
from Notomi [42]. The LAMP reaction was carried out in the following reaction mixtures
containing 0.25 µM·L−1 of the primers, FIP and BIP; 0.2 µM·L−1 of the primers, F3 and
B3; 1.0 mM·L−1 betaine; 2.0 mM·L−1 dNTPs (Takara Bio Inc., 108, San Jose, CA, USA);
25 mM·L−1 Tris-HCl (pH 8.8); 12.5 mM·L−1 KCl, 12.5 mM·L−1 (NH4)2SO4; 10 mM·L−1
MgCl2; 0.125% (v/v) Triton X-100; 0.2 U·L−1 of Bst DNA polymerase (New England Biolabs,
110, Beijing, China); 0.5 µL 1 × SYBR Green I; and 1 µL of DNA template extracted as
described above, and the volume was adjusted to 25 µL with nucleic-acid-free water. The
screened reaction temperature gradients were 61.8 ◦C, 62.1 ◦C, 62.6 ◦C, 63.4 ◦C, 64.4 ◦C,
65.2 ◦C, 65.6 ◦C, and 66 ◦C. LAMP reactions were performed using a Bio-Rad quantitative
fluorescent PCR instrument (Bio-Rad CFX96, Hercules, CA, USA) for 80 cycles each, each
cycle for 60 s, and the reaction was terminated at 80 ◦C for 10 min. Optimal reaction
temperature screening experiments were repeated three times.
4.5. Validation of the Specificity for q-LAMP Assay Systems
The specificity of the reaction system was tested by performing q-LAMP reactions at
the optimal reaction temperature with UV-2 primers in above 25-µL reaction mixtures for
70 min. The assay results were compared with the DNA of U. virens and the 9 other fungi
listed in Table 4. The nucleic acid-free water was set as negative control. Additionally, the
DNA template of U. virens and the 9 other fungi were prepared as descripted in 4.2 mycelial
DNA template preparation. The extracted DNA of U. virens and the 9 other fungi were
stored at −20 ◦C and their concentration were more than 150 µg·mL−1. The results were
rigorously validated with the assessment that the detectable peak of fluorescence signals
detected by Bio-Rad CFX96 as positive; no fluorescence signal as negative. The specificity
testing experiment was repeated three times.
4.6. Sensitivity Validation of q-LAMP and q-PCR Assay Systems
The sensitivity validation of q-LAMP reactions was performed at the optimal reaction
temperature with UV-2 primers in reaction mixtures above 25-µL for 60 min. An amount
of 1 µL of DNA lysate from U. virens spores of known concentration was used as a DNA
template in the LAMP reaction system. The nucleic-acid-free water was used as a DNA
template in the negative control (CK). The detectable peak of fluorescence signals detected
by Bio-Rad CFX96 was regarded as positive, while no fluorescence signal was regarded
as negative. Sensitivity assay experiments were repeated three times. The sensitivity of
the q-PCR reaction system was assayed via performing q-PCR amplification using primers,
UV-2 F3/B3. The q-PCR reaction system was 12.5 µL SYBR® Premix Ex Taq II (Tli RNaseH
Plus, 2×), 1.0 µL of forward primer F3 (10 µM), 1.0 µL of reverse primer B3 (10.0 µM),
1.0 µL DNA template (in CK, nucleic-acid-free water was used as DNA template), and the
volume was adjusted to 25 µL with nucleic-acid-free water. The reaction conditions were:
pre-denaturation at 95 ◦C for 2 min, denaturation at 95 ◦C for 5 s, annealing at 60 ◦C for
30 s, extension at 72 ◦C for 6 s. The fluorescence signal was collected during the extension
Int. J. Mol. Sci. 2023, 24, 10388
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for a total of 40 cycles, and finally the amplification curve was plotted. The detectable
peak of fluorescence signals detected by Bio-Rad CFX96 was regarded as positive, while no
fluorescence signal was regarded as negative. Sensitivity assay experiments were repeated
three times.
4.7. Establishment of Standard Curves for q-LAMP Assay Systems
A standard curve was constructed using software SPSS 13.0 by analyzing the associa-
tion of logarithmic values of the spore number (y) and the amplification time quantitated
using the cycle threshold (Ct) values (x). The correlation coefficient R2 was used for assess-
ing the linear relationship between the spore number in sample (y) and amplification time
(x). The experiments were repeated three times.
4.8. Calculating of U. virens Spore Using q-LAMP System
Spores of U. virens were artificially added to each of the four Melinex tape (1 cm × 2 cm)
in the ultra-clean bench, with 450, 116, 29 and 9 spores in each tape. The collected spore-
adsorbed Melinex tape was cut and placed in 2-mL centrifuge tubes, and the genomic DNA
of the spores on the Melinex tape was then extracted according to the method mentioned
above. An amount of 1 µL of the cooled lysate was used directly as DNA template. q-LAMP
assay was performed with the optimal reaction conditions in reaction mixtures above 25-µL
for 60 min, and the time quantitated using the cycle threshold (Ct) values detected by
Bio-Rad CFX96 was recorded as the amplification time (x). The linearized equation for the
standard curve was used for converting the amplification time to the corresponding spore
number. Then, the calculated spore number was compared to the amount of actual added
(listed above) to test the accuracy efficiency of this q-LAMP system.
4.9. Field Application of q-LAMP Assay by U. virens
An air borne spore catcher (DIANJIANG, DJ-0723) with Melinex tape was established
in Yongyou 1540 cultivation area, Jiangtang Village, Jinhua City, Zhejiang Province for
the collection of spores of U. virens, and samples were collected at six-day intervals for
11 consecutive times, starting on the 9th of August 2018. Similarly, starting on the 13th of
August of the following year (2019), 11 consecutive samples were collected every six days.
The spores of U. virens were adsorbed on the Melinex tape and the tapes (1 cm × 1 cm) with
spores were cut and placed in a 2-mL centrifuge tube, and the conidial DNA was extracted
according to the methods mentioned above. An amount of 1 µL of the cooled lysate was
used directly as DNA template. q-LAMP assay was performed with the optimal reaction
conditions in the reaction mixtures above 25-µL for 60 min, and the amplification time
quantitated using the cycle threshold (Ct) values was recorded. According to the established
standard curve, the number of spores was calculated. The spore population of U. virens
in the Melinex tape was recorded via q-LAMP assay at six-day intervals. Meanwhile, the
spores of U. virens (1 cm × 1 cm) adsorbed on the slide were suspended in 1 mL of ddH2O,
and the spore suspension was counted using a hemocytometer under the microscope to
determine the spore concentration. There were three spore catchers placed at the collection
site, and the data collected by each instrument were used as a repetition.
Supplementary Materials: The following supporting information can be downloaded at: https://
www.mdpi.com/article/10.3390/ijms241210388/s1.
Author Contributions: Conceptualization, T.M. and C.Z.; methodology, C.Z., Y.Z. and X.L.; software,
T.M. and Y.Z.; validation, T.M. and C.Z.; formal analysis, Y.Z. and S.Z.; investigation, S.Z, C.M. and
X.L.; writing—original draft preparation, Y.Z. and T.M.; writing—review and editing, T.M. and C.Z.;
visualization, C.M. and X.L.; supervision, T.M. and C.Z. All authors have read and agreed to the
published version of the manuscript.
Funding: This research was funded by Key Research and Development Project of Zhejiang Province,
China (2015C02019), Science &Technology Program of Agriculture and Country in Zhenhai District.
Institutional Review Board Statement: Not applicable.
Int. J. Mol. Sci. 2023, 24, 10388
12 of 13
Informed Consent Statement: Not applicable.
Data Availability Statement: Not applicable.
Conflicts of Interest: The authors declare no conflict of interest.
References
2.
1. Wei, S.; Wang, Y.; Zhou, J.; Xiang, S.; Sun, W.; Peng, X.; Li, J.; Hai, Y.; Wang, Y.; Li, S. The conserved effector UvHrip1 interacts
with OsHGW and infection of Ustilaginoidea virens regulates defense- and heading date-related signaling pathway. Int. J. Mol. Sci.
2020, 21, 3376. [CrossRef]
Andargie, M.; Li, J. Arabidopsis thaliana: A model host plant to study plant–pathogen interaction using rice false smut isolates of
Ustilaginoidea virens. Front. Plant Sci. 2016, 7, 192. [CrossRef]
Song, J.-H.; Wei, W.; Lv, B.; Lin, Y.; Yin, W.-X.; Peng, Y.-L.; Schnabel, G.; Huang, J.-B.; Jiang, D.-H.; Luo, C.-X. Rice False smut
fungus hijacks the rice nutrients supply by blocking and mimicking the fertilization of rice ovary. Environ. Microbiol. 2016, 18,
3840–3849. [CrossRef]
3.
4. Meng, S.; Xiong, M.; Jagernath, J.S.; Wang, C.; Qiu, J.; Shi, H.; Kou, Y. UvAtg8-mediated autophagy regulates fungal growth,
5.
6.
7.
8.
9.
stress responses, conidiation, and pathogenesis in Ustilaginoidea virens. Rice 2020, 13, 56. [CrossRef] [PubMed]
Devi, T.K.; Singh, N.I. Aerobiology and epidemiology of false smut disease of rice by Ustilagnoidea virens (Syn. Claviceps oryzae
sativae) in Thoubal District. J. Mycopatholog. Res. 2007, 45, 107–108.
Zhou, Y.-L.; Izumitsu, K.; Sonoda, R.; Nakazaki, T.; Tanaka, E.; Tsuda, M.; Tanaka, C. PCR-based specific detection of Ustilaginoidea
virens and Ephelis japonica. J. Phytopathol. 2003, 151, 513–518. [CrossRef]
Ashizawa, T.; Takahashi, M.; Moriwaki, J.; Hirayae, K. Quantification of the rice false smut pathogen Ustilaginoidea virens from
soil in Japan using real-time PCR. Eur. J. Plant Pathol. 2010, 128, 221–232. [CrossRef]
Tanaka, E.; Ashizawa, T.; Sonoda, R.; Tanaka, C. Villosiclava virens gen. nov., comb. nov., teleomorph of Ustilaginoidea virens, the
causal agent of rice false smut. Mycotaxon 2008, 106, 491–501. [CrossRef]
Zhang, Y.; Zhang, K.; Fang, A.; Han, Y.; Yang, J.; Xue, M.; Bao, J.; Hu, D.; Zhou, B.; Sun, X.; et al. Specific adaptation of
Ustilaginoidea virens in occupying host florets revealed by comparative and functional genomics. Nat. Commun. 2014, 5, 3849.
[CrossRef] [PubMed]
10. Zhou, Y.-L.; Xie, X.-W.; Zhang, F.; Wang, S.; Liu, X.-Z.; Zhu, L.-H.; Xu, J.-L.; Gao, Y.-M.; Li, Z.-K. Detection of quantitative
resistance loci associated with resistance to rice false smut (Ustilaginoidea virens) using introgression lines. Plant Pathol. 2013, 63,
365–372. [CrossRef]
Sun, X.; Kang, S.; Zhang, Y.; Tan, X.; Yu, Y.; He, H.; Zhang, X.; Liu, Y.; Wang, S.; Sun, W.; et al. Genetic diversity and population
structure of rice pathogen Ustilaginoidea virens in China. PLoS ONE 2013, 8, e76879. [CrossRef]
11.
12. Zhou, L.; Lu, S.; Shan, T.; Wang, P.; Wang, S. Chemistry and biology of mycotoxins from rice false smut pathogen. In Mycotoxins:
Properties, Applications, and Hazards; Melbor, B., Greene, J., Eds.; Nova Science Publishers, Inc.: New York, NY, USA, 2012.
Fu, X.; Wang, A.; Wang, X.; Lin, F.; He, L.; Lai, D.; Liu, Y.; Li, Q.X.; Zhou, L.; Wang, B. Development of a monoclonal antibody-based
icELISA for the detection of Ustiloxin B in rice false smut balls and rice grains. Toxins 2015, 7, 3481–3496. [CrossRef]
13.
14. Yu, M.; Yu, J.; Cao, H.; Song, T.; Pan, X.; Qi, Z.; Du, Y.; Zhang, R.; Huang, S.; Liu, W.; et al. SUN-family protein UvSUN1 regulates
the development and virulence of Ustilaginoidea virens. Front. Microbiol. 2021, 12, 739453. [CrossRef]
15. Yu, J.; Yu, M.; Song, T.; Cao, H.; Pan, X.; Yong, M.; Qi, Z.; Du, Y.; Zhang, R.; Yin, X.; et al. A homeobox transcription factor
UvHOX2 regulates chlamydospore formation, conidiogenesis, and pathogenicity in Ustilaginoidea virens. Front. Microbiol. 2019,
10, 1071. [CrossRef] [PubMed]
16. Tang, Y.-X.; Jin, J.; Hu, D.-W.; Yong, M.-L.; Xu, Y.; He, L.-P. Elucidation of the infection process of Ustilaginoidea virens (teleomorph:
Villosiclava virens) in rice spikelets. Plant Pathol. 2012, 62, 1–8. [CrossRef]
17. Hu, Y. Infection processes of Ustilaginoidea virens during artificial inoculation of rice panicles. Eur. J. Plant Pathol. 2014, 139, 67–77.
[CrossRef]
18. Yong, M.; Deng, Q.; Fan, L.; Miao, J.; Lai, C.; Chen, H.; Yang, X.; Wang, S.; Chen, F.; Jin, L.; et al. The role of Ustilaginoidea virens
sclerotia in increasing incidence of rice false smut disease in the subtropical zone in China. Eur. J. Plant Pathol. 2017, 150, 669–677.
[CrossRef]
19. Tsukui, T.; Nagano, N.; Umemura, M.; Kumagai, T.; Terai, G.; Machida, M.; Asai, K. Ustiloxins, fungal cyclic peptides, are
ribosomally synthesized in Ustilaginoidea virens. Bioinformatics 2014, 31, 981–985. [CrossRef] [PubMed]
20. Wang, Q.W.; Zhang, C.-Q. Q-LAMP assays for the detection of Botryosphaeria dothidea causing Chinese hickory canker in trunk,
water, and air samples. Plant Dis. 2019, 103, 3142–3149. [CrossRef] [PubMed]
21. Harrison, N.A.; Womack, M.; Carpio, M.L. Detection and characterization of a lethal yellowing (16SrIV) group phytoplasma in
Canary Island date palms affected by lethal decline in Texas. Plant Dis. 2002, 86, 676–681. [CrossRef]
22. Notomi, T.; Okayama, H.; Masubuchi, H.; Yonekawa, T.; Watanabe, K.; Amino, N.; Hase, T. Loop-mediated isothermal amplifica-
tion of DNA. Nucleic Acids Res. 2000, 28, E63. [CrossRef] [PubMed]
23. Aryan, E.; Makvandi, M.; Farajzadeh, A.; Huygen, K.; Bifani, P.; Mousavi, S.-L.; Fateh, A.; Jelodar, A.; Gouya, M.-M.; Romano, M.
A novel and more sensitive loop-mediated isothermal amplification assay targeting IS6110 for detection of Mycobacterium
tuberculosis complex. Microbiol. Res. 2010, 165, 211–220. [CrossRef] [PubMed]
Int. J. Mol. Sci. 2023, 24, 10388
13 of 13
24. McKenna, J.P.; Fairley, D.J.; Shields, M.D.; Cosby, S.L.; Wyatt, D.E.; McCaughey, C.; Coyle, P.V. Development and clinical validation
of a loop-mediated isothermal amplification method for the rapid detection of Neisseria meningitidis. Diagn. Microbiol. Infect. Dis.
2011, 69, 137–144. [CrossRef] [PubMed]
25. Xie, L.; Xie, Z.; Zhao, G.; Liu, J.; Pang, Y.; Deng, X.; Xie, Z.; Fan, Q.; Luo, S. A loop-mediated isothermal amplification assay for the
26.
visual detection of duck circovirus. Virol. J. 2014, 11, 76. [CrossRef]
Soleimani, M.; Shams, S.; Majidzadeh, A.K. Developing a real-time quantitative loop-mediated isothermal amplification assay as
a rapid and accurate method for detection of Brucellosis. J. Appl. Microbiol. 2013, 115, 828–834. [CrossRef]
27. Tomita, N.; Mori, Y.; Kanda, H.; Notomi, T. Loop-mediated isothermal amplification (LAMP) of gene sequences and simple visual
detection of products. Nat. Protoc. 2008, 3, 877–882. [CrossRef]
28. Yang, X.; Al-Attala, M.N.; Zhang, Y.; Zhang, A.-F.; Zang, H.-Y.; Gu, C.-Y.; Gao, T.-C.; Chen, Y.; Ali, F.; Li, Y.-F.; et al. Rapid
detection of Ustilaginoidea virens from rice using Loop-Mediated Isothermal Amplification Assay. Plant Dis. 2018, 102, 1741–1747.
[CrossRef]
Stella, S.; Gottardi, E.M.; Favout, V.; Gonzalez, E.B.; Errichiello, S.; Vitale, S.R.; Fava, C.; Luciano, L.; Stagno, F.; Grimaldi, F.; et al.
The q-LAMP method represents a valid and rapid alternative for the detection of the BCR-ABL1 rearrangement in Philadelphia-
positive leukemias. Int. J. Mol. Sci. 2019, 20, 6106. [CrossRef]
29.
30. Wang, Y.; Li, K.; Xu, G.; Chen, C.; Song, G.; Dong, Z.; Lin, L.; Wang, Y.; Xu, Z.; Yu, M.; et al. Low-cost and Scalable platform with
multiplexed microwell array biochip for rapid diagnosis of COVID-19. Research 2021, 2021, 2813643. [CrossRef]
31. Ku, J.; Chauhan, K.; Hwang, S.-H.; Jeong, Y.-J.; Kim, D.-E. Enhanced specificity in loop-mediated isothermal amplification with
poly(ethylene glycol)-engrafted graphene oxide for detection of viral genes. Biosensors 2022, 12, 661. [CrossRef]
32. Huang, Y.; Tang, X.; Zheng, L.; Huang, J.; Zhang, Q.; Liu, H. Development of generic immuno-magnetic bead-based enzyme-linked
immunoassay for Ustiloxins in rice coupled with enrichment. Toxins 2021, 13, 907. [CrossRef]
33. Wang, X.; Fu, X.; Lin, F.; Sun, W.; Meng, J.; Wang, A.; Lai, D.; Zhou, L.; Liu, Y. The contents of Ustiloxins A and B along with their
34.
distribution in rice false smut balls. Toxins 2016, 8, 262. [CrossRef]
Fu, R.; Chen, C.; Wang, J.; Liu, Y.; Zhao, L.; Lu, D. Transcription profiling of rice panicle in response to crude toxin extract of
Ustilaginoidea virens. Front. Microbiol. 2022, 13, 701489. [CrossRef]
35. Abbas, H.K.; Shier, W.T.; Cartwright, R.D.; Sciumbato, G.L. Ustilaginoidea virens infection of rice in Arkansas: Toxicity of false
smut galls, their extracts and the Ustiloxin fraction. Am. J. Plant Sci. 2014, 05, 3166–3176. [CrossRef]
36. Rovira, A.; Abrahante, J.; Murtaugh, M.; Claudia, M.-Z. Reverse transcription loop-mediated isothermal amplification for the
detection of porcine reproductive and respiratory syndrome virus. J. Veter-Diagn. Investig. 2009, 21, 350–354. [CrossRef]
37. Li, L.; Zhang, S.Y.; Zhang, C.-Q. Establishment of a rapid detection method for rice blast fungus based on one-step loop-mediated
isothermal amplification (LAMP). Plant Dis. 2019, 103, 1967–1973. [CrossRef]
38. Li, H.; Ni, D.; Duan, Y.; Chen, Y.; Li, J.; Song, F.; Li, L.; Wei, P.; Yang, J. Quantitative detection of the rice false smut pathogen
Ustilaginoidea virens by real-time PCR. Genet. Mol. Res. 2013, 12, 6433–6441. [CrossRef] [PubMed]
39. Wang, Z.; Yang, X.; Lyu, L.; Yuan, B.; Chang, X.; Zhang, S. Progress and prospective of Villosiclava virens infection mechanism.
Hubei Agric. Sci. 2019, 58, 5. [CrossRef]
40. Zhang, S.; Zhang, Q.; Luo, H. Test pesticides against rice false smut and choose optimum application period. J. Huazhong Agric.
41.
Univ. 2007, 26, 178.
Fu, X.; Xie, R.; Wang, J.; Chen, X.; Wang, X.; Sun, W.; Meng, J.; Lai, D.; Zhou, L.; Wang, B. Development of colloidal gold-based
lateral flow immunoassay for rapid qualitative and semi-quantitative analysis of Ustiloxins A and B in rice samples. Toxins 2017,
9, 79. [CrossRef]
42. Tomlinson, J.; Boonham, N. Real-time LAMP for Chalara fraxinea diagnosis. Methods Mol. Biol. 2015, 1302, 75–83. [CrossRef]
[PubMed]
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author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to
people or property resulting from any ideas, methods, instructions or products referred to in the content.
| null |
10.1038_s41467-021-27769-5.pdf
|
Data availability
The data and code underlying Fig. 2a, c, d are provided in the github repository https://
github.com/ClaMtnez/Ocean_tags. The data underlying Figs. 3, 4 & 5 and
Supplementary Figs. 1, 4 & 5 are provided as a Supplementary Data Files. The sequence
data generated in this study have been deposited in the EMBL Nucleotide Sequence
Database (ENA) database under Bioproject PRJEB35712 (metagenomic and
metatranscriptomic raw reads, metagenomic and metatranscriptomic assemblies,
metagenomic assembled genomes, and single-cell amplified genomes) and in the NCBI
Sequence Read Archive (SRA) under Bioproject PRJNA593264 (16S rRNA gene
amplicon reads). The following public databases were used in this study: Swiss-Prot
database, https://www.uniprot.org/, release-2018_10; Genome Taxonomy Database,
https://gtdb.ecogenomic.org/, release 80; SILVA non-redundant SSU Ref database,
https://www.arb-silva.de/, v.138; UniRef 100 VIROME database, http://
virome.dbi.udel.edu; Greening lab metabolic marker gene database, https://doi.org/
10.26180/c.5230745; CAZyme HMM database, https://bcb.unl.edu/dbCAN2/, v.8.0; Pfam
HMM database, http://pfam.xfam.org/, release 32.0; and TIGRFAM HMM database,
https://www.ncbi.nlm.nih.gov/genome/annotation_prok/tigrfams/, release 15.0
|
Data availability The data and code underlying Fig. 2a , c, d are provided in the github repository https:// github.com/ClaMtnez/Ocean_tags . The data underlying Figs. 3 , 4 & 5 and Supplementary Figs. 1, 4 & 5 are provided as a Supplementary Data Files. The sequence data generated in this study have been deposited in the EMBL Nucleotide Sequence Database (ENA) database under Bioproject PRJEB35712 (metagenomic and metatranscriptomic raw reads, metagenomic and metatranscriptomic assemblies, metagenomic assembled genomes, and single-cell amplified genomes) and in the NCBI Sequence Read Archive (SRA) under Bioproject PRJNA593264 (16S rRNA gene amplicon reads). The following public databases were used in this study: Swiss-Prot database, https://www.uniprot.org/ , release-2018_10; Genome Taxonomy Database, https://gtdb.ecogenomic.org/ , release 80; SILVA non-redundant SSU Ref database, https://www.arb-silva.de/ , v.138; UniRef 100 VIROME database, http:// virome.dbi.udel.edu ; Greening lab metabolic marker gene database, https://doi.org/ 10.26180/c.5230745 ; CAZyme HMM database, https://bcb.unl.edu/dbCAN2/ , v.8.0; Pfam HMM database, http://pfam.xfam.org/ , release 32.0; and TIGRFAM HMM database, https://www.ncbi.nlm.nih.gov/genome/annotation_prok/tigrfams/ , release 15.0
|
ARTICLE
https://doi.org/10.1038/s41467-021-27769-5
OPEN
Phylogenetically and functionally diverse
microorganisms reside under the Ross Ice Shelf
3, Zihao Zhao
3,4, Rachael J. Lappan
1,2,17, Chris Greening
3,4, Sean K. Bay
1,
Clara Martínez-Pérez
Daniele De Corte5, Christina Hulbe
Ramunas Stepanauskas
16✉
Sergio E. Morales
11, José M. González
& Federico Baltar
1,10✉
6, Christian Ohneiser
7, Craig Stevens
8,9, Blair Thomson10,
12, Ramiro Logares
13, Gerhard J. Herndl
1,14,15,
;
,
:
)
(
0
9
8
7
6
5
4
3
2
1
Throughout coastal Antarctica, ice shelves separate oceanic waters from sunlight by hun-
dreds of meters of ice. Historical studies have detected activity of nitrifying microorganisms
in oceanic cavities below permanent ice shelves. However, little is known about the microbial
In this study, we profiled the
composition and pathways that mediate these activities.
microbial communities beneath the Ross Ice Shelf using a multi-omics approach. Overall,
beneath-shelf microorganisms are of comparable abundance and diversity, though distinct
composition, relative to those in the open meso- and bathypelagic ocean. Production of new
organic carbon is likely driven by aerobic lithoautotrophic archaea and bacteria that can use
ammonium, nitrite, and sulfur compounds as electron donors. Also enriched were aerobic
organoheterotrophic bacteria capable of degrading complex organic carbon substrates, likely
derived from in situ fixed carbon and potentially refractory organic matter laterally advected
by the below-shelf waters. Altogether, these findings uncover a taxonomically distinct
microbial community potentially adapted to a highly oligotrophic marine environment and
suggest that ocean cavity waters are primarily chemosynthetically-driven systems.
1 Department of Functional and Evolutionary Ecology, University of Vienna, Djerassiplatz 1, 1030 Vienna, Austria. 2 Centre for Microbiology and Environmental
Systems Science, Division of Microbial Ecology, University of Vienna, Djerassiplatz 1, 1030 Vienna, Austria. 3 Department of Microbiology, Biomedicine
Discovery Institute, Monash University, Clayton, VIC 3800, Australia. 4 Securing Antarctica’s Environmental Future, Monash University, Clayton, VIC 3800,
Australia. 5 Institute for Chemistry and Biology of the Marine Environment, Carl von Ossietzky University of Oldenburg, Oldenburg, Germany. 6 School of
Surveying, University of Otago, Dunedin, New Zealand. 7 Department of Geology, University of Otago, Dunedin, New Zealand. 8 National Institute of Water
and Atmospheric Research, Greta Point, Wellington 6021, New Zealand. 9 Department of Physics, University of Auckland, Auckland, New Zealand.
10 Department of Marine Sciences, University of Otago, Dunedin, New Zealand. 11 Bigelow Laboratory for Ocean Sciences, East Boothbay, ME, USA.
12 Department of Microbiology, University of La Laguna, ES-38200 La Laguna, Spain. 13 Department of Marine Biology and Oceanography, Institut de Ciències
del Mar (CSIC), Barcelona, Spain. 14 NIOZ, Department of Marine Microbiology and Biogeochemistry, Royal Netherlands Institute for Sea Research, Utrecht
University, PO Box 59, 1790 AB Den Burg, The Netherlands. 15 Vienna Metabolomics Center, University of Vienna, Djerassiplatz 1, A-1030 Vienna, Austria.
16 Department of Microbiology and Immunology, University of Otago, Dunedin, New Zealand. 17Present address: Institute for Environmental Engineering,
Department of Civil, Environmental and Geomatic Engineering, Eidgenössische Technische Hochschule (ETH) Zürich, 8093 Zurich, Switzerland.
✉
email: sergio.morales@otago.ac.nz; federico.baltar@univie.ac.at
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1
ARTICLE
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Results
The water column under the Ross Ice Shelf is characterized by
a steep vertical ammonium gradient. During the Ross Ice Shelf
Program in December 2017, an access borehole was created by hot
longitude
water drilling at
site HWD-2 (latitude 80.6577 S,
ice shelf
Ice shelves are permanent floating extensions of grounded
sheets of ice that connect to a landmass. The Ross Ice Shelf, by
in the world, floats atop an
area the largest
~54,000 km3 ocean cavity that covers about half of the Ross Sea
and hugs the coast of Antarctica (Fig. 1a). Generally over 300 m
thick1, the ice shelf creates a “lid” that isolates the underlying
ocean from the atmosphere and from sunlight, and exerts a direct
effect on the chemical composition of the water column beneath
it (in general ~700 m deep2). Waters under the permanent ice
shelves are influenced by continental ice-sheet melting and are
thus an important intermediary between subglacial outflow from
the Antarctic continent and the open Ross Sea, and ultimately the
Southern Ocean. Despite their oceanographic significance, sub-ice
shelf habitats are among the least-studied ecosystems in the
world’s oceans.
Oceanographic and biogeochemical observations of the water
cavity beneath the Ross Ice Shelf have been largely concentrated
on the shelf margins, in particular at the McMurdo Ice Shelf
(northwestern portion of the Ross Ice Shelf). Here, nutrient- and
biomass-rich water advected from eastern McMurdo Sound likely
plays an important role in sub-ice biogeochemistry of the dark
ecosystem beneath the shelf front3,4. Direct observations in the
grounding area have also confirmed a stratified and quiescent
ocean setting5. As a result, water below the Ross Ice Shelf is
reported to be exchanged with the Ross Sea with an estimated
residence time of 0.9–5.4 years6,7. This allows transport of
nutrients and organisms from the sea into the cavity. However,
unlike other well-ventilated shelves (e.g., Amery shelf8),
the
proximity to open water is likely a major factor controlling bio-
geochemical process in the central basin of the Ross Ice Shelf
cavity.
Opportunities to directly access the central sub-ice shelf
cavity have been greatly limited by logistical constraints and
only one expedition to date has sampled the seawater beneath
the center of the Ross Ice Shelf. Sampling of the sub-ice water
column took place through borehole J9, during the Ross Ice
Shelf Project of 19779. The environment beneath the Ross Ice
Shelf was described as “similar to the abyssal ocean in being cold
and aphotic”. Within these waters, “sparse” populations of
bacteria, microbial eukaryotes, and animals were observed10,11.
The microbial populations were proven to be heterotrophically
active and incorporated radiolabeled organic carbon molecules
at very low rates comparable to the abyssal ocean10. Autotrophic
activity of
subsequently
these microbial communities was
reported and attributed to “nitrifying bacteria”12. In these
aphotic ecosystems lacking photosynthetic primary production,
dark carbon fixation by nitrifying microorganisms may be suf-
ficient
and macrofaunal
populations12. Lateral inputs of organic carbon from the Ross
Sea may also support these populations. However, given these
studies preceded the advent of molecular techniques, the com-
position of the microbial communities, their relatedness to open
ocean communities, and their possible links to ecosystem
function remained unexplored.
to sustain observed microbial
techniques
In this study we accessed the waters beneath the Ross Ice Shelf
to uncover the phylogenetic and functional diversity of
the
microbial communities under the Antarctic ice shelf. We com-
bined multi-omics
(metagenomics, metatran-
scriptomics, single-cell genomics) with supporting biogeochemical
measurements (nutrient measurements and heterotrophic bac-
terial production). We show that the waters below the shelf harbor
a diverse microbial community with a taxonomic composition
distinct from other open ocean environments. In addition, we
observed the transcription of various genes associated with
lithoautotrophic and organoheterotrophic growth, uncovering the
basis for previous activities reported in below-shelf waters.
Fig. 1 Sampling location. a Map showing the sampling location of this study
(HWD-2) and the borehole study site J9 drilled in 197710. Bathymetry and
ice thickness are based on the Bedmap-2 data set1. The transparent ice
surface image was sourced from the MOA2009 image map119. b (left)
Thermohaline structure of the water column at station HWD-2 and defined
regions. IBL, Ice basal boundary layer. V-IL, variable intermediate layer,
likely modulated by tides and resulting in patches of water with variable
temperature and salinity. S-IL, stratified intermediate layer. BBL, benthic
boundary layer. (right) Schematic of HWD-2 drilling site depicts the
sampling location of seawater samples (red circles) at 30, 180, and 330 m
below the ice shelf base.
2
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ARTICLE
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northwest of borehole J9 (Fig. 1a). The shelf ice was 370 m thick,
and the underlying waters extended to 750 m below the shelf sur-
face (Fig. 1b). Triplicate samples were collected at three depths: 30,
180, and 330 m below the bottom of the shelf (i.e., the ice-water
interface). These depths correspond to three regions based on the
thermohaline structure of the water column: a basal boundary layer
just beneath the ice (IBL), the upper part of an intermediate layer
characterized by highly variable temperature and salinity (V-IL),
and the lower part of the intermediate layer characterized by linear
stratification (S-IL). A homogeneous benthic layer was observed
(BBL) but not sampled (Fig. 1b; see13 for a detailed physical
oceanographic description of the study site). This structure con-
firmed that the cavity is filled southward by thermohaline convec-
tion in which dense, high salinity shelf water (HSSW) evolves into
very cold (~−2 °C) but relatively fresh Ice Shelf Water (ISW). The
temperature and salinity conditions suggest that, other than the
boundary layer regions, water properties conform to Deep Ice Shelf
Water, a mixture of high and low salinity shelf water and Antarctic
Surface Water (AASW)13. Contrary to what previous studies
detected at the shelf front3,4, other regional water masses were not
present at borehole HWD2. The flow of waters beneath the drilling
site was 2 cm s−1 towards the open ocean, suggesting a residence
time for these waters of ca. 4 years13. This estimate is within the
range of 1–6 years from previous ocean measurements6 and
modeling studies2,14.
the ice shelf3,4 and in deep waters of
Nutrient concentrations beneath the center of the Ross Ice
Shelf were generally lower than those measured at the edge of the
the Ross Sea15.
of
Concentrations of SiO2 (165–166 µM), NOx (7.32–7.37 µM) and
3− (0.71–0.72 µM) were relatively constant across the water
PO4
column (Table 1) and two- to fourfold lower than in the oceanic
cavity of the McMurdo Ice Shelf at the edge of the Ross Ice
Shelf3,4. In contrast, we observed a steep gradient of ammonium,
with concentrations tenfold higher at the basal layer (440 nM)
than in deeper waters (40–50 nM). Such high ammonium
concentrations, while lower than those in open waters of the
Ross Sea (which peak in summer with values >2 µM;15), were in
the same range as deep (400 m) high-salinity shelf waters (HSSW)
entering the front of the cavity (~500 nm;4). A similar nutrient
profile was reported beneath borehole J912, where ammonium
concentrations were higher beneath the ice shelf base and
−
− and NO2
decreased with depth, whereas values of NO3
remained constant
the water column. However,
concentrations of ammonium and NOx were 10- and 4-times
higher at the J9 borehole than we reported for the HWD-2
3− and SiO2 were not reported)13,16,17.
borehole (PO4
Microbial cell abundance ranged from 0.9 to 1.2 × 105 cells mL−1
(Table 1), which is typical for mesopelagic and upper bathypelagic
open ocean environments18 and comparable to deep waters at the
the McMurdo Ice Shelf4. In contrast, prokaryotic
margin of
heterotrophic production (PHP, a proxy for growth of hetero-
trophic organisms) ranged from 0.3 to 0.6 µmol C m−3 d−1
(Table 1), which is one to two orders of magnitude lower than at
the margins of the Ross Ice Shelf (~40 µmol C m−3 d−1;4) and the
average global PHP rates in the mesopelagic (24 µmol C m−3 d−1)
and bathypelagic (4 µmol C m−3 d−1) open ocean18. Based on these
PHP rates, the turnover time of the microbial community in our
study ranged between 339 and 461 days, within the same order of
magnitude as the approximately 400 days reported previously at
borehole J910.
throughout
Below-shelf microbial communities are distinct from open
ocean communities. Microbial community composition beneath
the Ross Ice Shelf was determined using a combination of 16S
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NATURE COMMUNICATIONS |
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3
ARTICLE
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NATURE COMMUNICATIONS | https://doi.org/10.1038/s41467-021-27769-5
d
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Dependentiae
Fig. 2 Comparison of bacterial and archaeal communities in the cavity beneath the Ross Ice Shelf with open ocean environments worldwide. a Global
map depicting the locations of metagenomic surveys utilized in the analysis and this study. Overlapping of symbols represent locations where multiple
depths were sampled. b Phylum-level composition of microbial communities under the Ross Ice Shelf based on 16S rRNA amplicon sequencing (this study).
The results for each sequencing triplicate are averaged; results for individual replicates and controls are shown in Supplementary Fig. 2a, b. Comparisons
with metagenomic 16S ribosomal RNA genes (miTags) are shown in Supplementary Fig. 2c. c Cluster dendrogram depicting the average linkage
hierarchical clustering based on a Bray-Curtis dissimilarity matrix of community compositions, based on the relative abundance of miTags from this study,
global ocean expeditions, and Antarctic and Arctic surveys20–23. The dashed box highlights the clustering of communities in the ocean cavity under the
Ross Ice Shelf with global deep-sea environments (in detail in 2d). d Heatmap visualization of calculated Z-scores from below-shelf and global deep-sea
environments, based on the relative abundance of miTags grouped at phylum level. Column dendrogram shows clustering of samples according to Bray-
Curtis dissimilarity index (detailed from 2b). Rows are clustered based on euclidean distance, grouping phyla that are most likely to co-occur in an
environment. Asterisks mark phyla that are significantly more abundant under the Ross Ice Shelf (Kruskal-Wallis test, p < 0.05, Supplementary Data 3).
Taxonomic assignment is based on the Genome Taxonomy Database (GTDB107).
rRNA gene amplicon sequencing and shotgun metagenomic
sequencing. The microbial community was dominated by six
phyla: Proteobacteria, SAR324, Crenarchaeota (mostly Nitroso-
sphaerales), Marinisomatota (formerly Marinimicrobia, SAR406
clade), Chloroflexota (mostly SAR202), and Planctomycetota
(Fig. 2b). Consistent with a dark oligotrophic environment, the
eukaryotic community was largely comprised of taxa typically
found in the meso- and bathypelagic open ocean,
including
Alveolata, Dinoflagellata, and Rhizaria lineages (Supplementary
Fig. 1a, Supplementary Data 1). With respect to viruses, most
bacteriophages detected in the metagenomic assemblies (~50%)
belonged to uncultured or unclassified taxa (Supplementary
Fig. 1b, Supplementary Data 2), with the most abundant classified
viruses affiliating with the family Myoviridae (~30%).
We used 16S rRNA gene sequences extracted from metage-
nomic reads (miTags;19) to profile the relatedness of microbial
communities beneath the Ross Ice Shelf to those of marine
ecosystems globally (Fig. 2a, c20–23,). This approach enabled
comparison of microbial communities from available marine
metagenomic datasets, while circumventing potential biases from
inter-study community composition comparisons based on
amplicon analyses24. In agreement with previous global metage-
nomic analyses20, beta diversity analysis (Bray-Curtis dissim-
ilarity) showed oceanic microbial communities cluster by depth,
in
especially
though this was less pronounced in polar regions (Fig. 2c, d). In
this global context, the communities beneath the Ross Ice Shelf
form a cluster that is related to, but distinct from, those of
(Fig. 2c, d). When
mesopelagic polar open ocean waters
compared to deep (>200 m) open ocean communities worldwide,
compositional differences between open-ocean and below-shelf
microbial communities are evident even at the phylum level
(Fig. 2d). For example, the relative abundances of Chloroflexota,
Gemmatimonadota, Marinisomatota, Myxococcota, Planctomy-
cetota, and SAR324 were significantly higher under the Ross Ice
Shelf,
test,
p = 9.4 × 10−7 − 1.9 × 10−5, full p values shown in Supplemen-
tary Data 3). The phyla Halobacterota, Anck6 and PAUC34f,
while typically rare in the open dark oceans, showed a tenfold
increase in relative abundance in the cavity beneath the Ross Ice
Shelf. Analyses restricted to polar environments using MGLM-
ANOVA confirmed significant compositional differences between
the ocean cavity and deep (>200 m) open-water polar environ-
ments (LRT = 17333, p = 0.001, Supplementary Data 3).
In
addition, Indicator Species Analysis (Indval) congruently identi-
fied ‘signature species’ of the ocean cavity (with respect to deep
open-water polar communities) belonging to the phyla PAUC34f,
Planctomycetota, and SAR324, as well as the classes Lenti-
sphaeria, and SAR202 (p = 0.001–0.002, full p values shown in
(Kruskal-Wallis
deeper
layers
4
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Fig. 3 Phylogeny of reconstructed genomes under the Ross Ice Shelf. Phylogenetic genome tree of the 235 metagenome-assembled genomes (MAGs)
and single-amplified genomes (SAGs) retrieved from this study. The genomes are labeled by order, shaded by phylum, and numbered as per
Supplementary Data 4. Genome characteristics (inner-to-outer circular heatmap): average genome completeness (%) at phylum level, relative abundance
expressed as counts per million (CPM) and relative transcriptional activity as transcripts per million (TPM, Log10 + 1 transformed), and presence of marker
genes for key metabolic pathways discussed in the main text.
Supplementary Data 3). These ‘signature species’ (with IndVal
p < 0.05, test statistic >0.5, Supplementary Data 3) represented on
average ~10% of the community beneath the Ross Ice Shelf,
reaching up to 17% in the mid water column, in comparison to an
average abundance of 0.75% in deep polar open waters.
Amplicon sequencing analysis provided additional taxonomic
resolution of the communities under the ice shelf and confirmed
the depth differentiation anticipated from oceanographic and
chemical data. Significant differences in community alpha and
beta diversity below the Ross Ice Shelf were observed between the
basal boundary layer below the ice (30 m) and the deep water
column (330 m) (p = 0.028, Supplementary Data 3, Supplemen-
tary Figs. 2 and 3). The species driving these differences are
described in the Supplementary Notes.
Nitrifying archaea and bacteria dominate transcription under
the shelf. We used a multi-omics approach to uncover the
functional capacity of the microbial community beneath the Ross
Ice Shelf, integrating genome-resolved metagenomics, single-cell
genomics, and metatranscriptomics. We assembled 235 derepli-
cated partial genomes (Fig. 3, Supplementary Figs. 4 and 5;
Supplementary Data 4). These comprised 67 SAGs (single-
amplified genomes) and 168 manually curated MAGs (meta-
genome-assembled genomes), all with completeness >50% and
contamination <5%25 (Fig. 3; Supplementary Data 4). These
represent on average 50–60% of each sample’s metagenomic and
including all phyla with relative
metatranscriptomic reads,
abundance above 0.5% (Fig. 2) and the top four most abundant
genera (Supplementary Fig. 2b). Their phylogenetic diversity,
metabolic traits, and relative abundances are depicted in Fig. 3.
The presence and transcription of key metabolic genes in
assembled and unassembled reads was used to identify prevailing
metabolic pathways in the cavity under the Ross Ice Shelf. By far the
most highly transcribed genes involved in autotrophic energy
conservation pathways were those for oxidation of ammonium
(ammonia monoxygenase, amoA) and nitrite (nitrite oxidoreductase,
nxrA) (Fig. 4b). Accordingly, ammonium transporters and amoA
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Fig. 4 Energy conservation and carbon fixation strategies of communities beneath the Ross Ice Shelf. a Dot plot showing the metabolic potential of the
235 metagenome-assembled genomes (MAGs) and single-amplified genomes (SAGs). The size class of each point represents the number of genomes in
each class that encode the gene of interest and the shading represents the average genome completeness. b Heatmaps showing the relative abundance of
these genes in the three metagenomic and metatranscriptomic unassembled short reads datasets. For metagenome reads, the heatmap shows the
abundance of each pathway, expressed as average gene copies per organism (across all genes listed in the pathway) calculated relative to the abundance
of 14 universal single-copy ribosomal genes, with scales capped at 1. For metatranscriptome reads, the heatmap shows log10-transformed reads per
kilobase million (RPKM). Where genes within the same pathway are collapsed together, the values (community percentage or RPKM) are summed. c
Phylogenetic tree of protein sequences of the highly transcribed ammonia monooxygenase subunit A (amoA) gene from archaeal single-amplified genomes
and unbinned metagenomic contigs shown in bold compared to reference sequences. See Supplementary Fig. 7 for a detailed version of this tree.
were the most transcribed genes overall (Supplementary Fig. 6).
Transcription patterns correlated with ammonium concentrations
(Table 1) and relative abundance of the archaeal order Nitrosophaer-
ales (Supplementary Figs. 2b, 4 and 5). Phylogenetic analysis
corroborated that the most numerous amoA genes and transcripts
were affiliated with Nitrosopumilus spp. (Fig. 4c, Supplementary
Fig. 7), the most abundant and active archaeal lineage beneath the ice
shelf (Supplementary Figs. 2b, 4 and 5), with some gammaproteo-
bacterial amoA reads also detected (Fig. 4a, Supplementary Fig. 7).
The metagenomic and metatranscriptomic reads of the marker gene
for nitrite oxidation, nxrA, affiliated with the phyla Nitrospinota and,
to a lesser extent Nitrospirota (Supplementary Data 5, Supplementary
Fig. 8). In line with an autotrophic lifestyle, we identified the
determinants of ammonium- or nitrite-dependent carbon fixation via
the archaeal 4-hydroxybutyrate cycle (hbsC, hbsT genes) and
Nitrospina reductive tricarboxylic acid cycle (aclB gene) (Fig. 4,
Supplementary Figs. 9, 10 and 11; Supplementary Data 3).
Consistent with these results, reconstructed genomes from the
genera Nitrosopumilus and Nitrospina were among those with
highest relative transcriptional activity in our dataset (S4, S5).
These groups express a small fraction of their genomes (i.e., ~25%
of total genes at 30 m) compared to other community members
(Supplementary Fig. 4d–f), devoting most of their transcriptional
effort to the key processes of carbon fixation and ammonia and
nitrite oxidation, respectively. Despite being well-represented in
the metatranscriptomic dataset, the relative abundance of the
genus Nitrospina was low in the metagenomic dataset. For
instance,
the Nitrospina lineage represented by SAG_5 was
among the least abundant genomes, but was highly active on the
level (RNA/DNA ~270; Supplementary Fig. 5)
transcriptional
(Supplementary Data 4). These discrepant findings are in line
with recent single-cell analyses showing Nitrospinota have high
activity despite low abundance;26 it is proposed that the large cell
these nitrite oxidizers are
size or high mortality rates of
responsible for
low abundance in metagenomes and
amplicon datasets compared to ammonium oxidizers26,27.
their
Various inorganic and organic energy sources likely support
below-shelf bacteria. Many members of the microbial community
are capable of supporting or surviving beneath the shelf through a
6
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Genome name
Genome Class (Phylum)
CAZyme diversity
Transcript counts (TPM)
MAG_106
SAG_36
MAG_15
MAG_22
MAG_133
MAG_104
MAG_116
MAG_137
MAG_84
MAG_79
MAG_64
MAG_92
MAG_129
MAG_155
MAG_66
MAG_77
MAG_143
MAG_160
MAG_65
MAG_99
MAG_100
MAG_105
MAG_120
MAG_122
MAG_148
MAG_58
MAG_67
MAG_74
MAG_83
MAG_86
MAG_126
MAG_130
MAG_70
MAG_111
MAG_131
MAG_37
MAG_45
MAG_47
MAG_78
MAG_94
MAG_139
MAG_128
MAG_156
MAG_60
MAG_72
MAG_75
MAG_81
MAG_88
MAG_95
SAG_30
Bacteroidia (Bacteroidota)
Bacteroidia (Bacteroidota)
Dehalococcoidia(Chloroflexota)
Dehalococcoidia(Chloroflexota)
Hydrogenedentia(Hydrogenedentota)
UBA2968 (Latescibacterota)
UBA2968 (Latescibacterota)
UBA2968 (Latescibacterota)
UBA2968 (Latescibacterota)
UBA8240 (Latescibacterota)
Marinisomatia (Marinisomatota)
UBA4248 (Myxococcota)
UBA796 (Myxococcota)
UBA796 (Myxococcota)
UBA796 (Myxococcota)
UBA796 (Myxococcota)
UBA9160 (Myxococcota)
Physciphaerae (Planctomycetota)
Physciphaerae (Planctomycetota)
Physciphaerae (Planctomycetota)
Planctomycetes (Planctomycetota)
Planctomycetes (Planctomycetota)
Planctomycetes (Planctomycetota)
Planctomycetes (Planctomycetota)
Planctomycetes (Planctomycetota)
Planctomycetes (Planctomycetota)
Planctomycetes (Planctomycetota)
Planctomycetes (Planctomycetota)
Planctomycetes (Planctomycetota)
Planctomycetes (Planctomycetota)
UBA1135 (Planctomycetota)
UBA1135 (Planctomycetota)
UBA1135 (Planctomycetota)
Gammaproteobacteria (Proteobacteria)
Gammaproteobacteria (Proteobacteria)
Gammaproteobacteria (Proteobacteria)
Gammaproteobacteria (Proteobacteria)
Gammaproteobacteria (Proteobacteria)
Gammaproteobacteria (Proteobacteria)
Gammaproteobacteria (Proteobacteria)
Lentisphaeria (Verrucomicrobiota)
Verrucomicrobiae (Verrucomicrobiota)
Verrucomicrobiae (Verrucomicrobiota)
Verrucomicrobiae (Verrucomicrobiota)
Verrucomicrobiae (Verrucomicrobiota)
Verrucomicrobiae (Verrucomicrobiota)
Verrucomicrobiae (Verrucomicrobiota)
Verrucomicrobiae (Verrucomicrobiota)
Verrucomicrobiae (Verrucomicrobiota)
Verrucomicrobiae (Verrucomicrobiota)
Nr. of CAZyme genes
per genome
20
40
60
80
GH transcription (TPM)
100
50
0
GT transcription (TPM)
200
150
100
50
0
CBM trancription (TPM)
50
40
30
20
10
0
GH GT
CBM
CAZyme class
30 m
180 m
330 m
30 m
180 m
330 m
30 m
180 m
330 m
Fig. 5 Relative abundance and transcription of selected carbohydrate active enzyme (CAZYme) classes. Data is displayed for reconstructed genomes
(MAGs and SAGs) where CAZyme diversity was highest (top 50 genomes). Bubble plots represent the number of different genes from each CAZyme
class per genome (GH, glycosyl hydrolases; GT, glycosyl transferases; CBD, genes containing carbohydrate binding domains). Heatmaps represent the
total gene transcription for each CAZyme class, normalized to total transcripts per sample (transcripts per million, TPM). The data used to construct these
plots is provided in Supplementary Data 7.
chemoautotrophic or mixotrophic lifestyle. These include gamma-
lineages, such as the Thioglobaceae (SUP05 and
proteobacterial
ARCTIC96BD-19) and UBA10353, which co-encode genes for the
Calvin-Benson-Bassham cycle and heterotrophic metabolism. Con-
sistently, RuBisCO genes (rbcL) affiliated to sulfur-oxidizing taxa
(Supplementary Fig. 10) were transcribed at high levels throughout
the water column (Supplementary Fig. 6). The potential of these
lineages to fuel chemoautotrophy using reduced sulfur compounds as
electron donors is supported by the presence and transcription of
marker genes for sulfide oxidation (sqr, r-dsrA) and thiosulfate oxi-
dation (soxB) (Fig. 4a, Supplementary Figs. 12, 13 and 14); (Sup-
plementary Data 5 and 6). Abundant heterotrophic lineages, such as
Marinisomatota and SAR324 (Fig. 2a, Supplementary Fig. 4), also
encoded carbon monoxide dehydrogenases (Fig. 4a, Supplementary
Fig. 15, Supplementary Data 6); carbon monoxide may serve as an
energy source supporting persistence of this community, as we have
recently described for other aerobic heterotrophic bacteria28,29. Genes
for formate oxidation were also widespread and highly transcribed
(Fig. 4b, Supplementary Fig. 6, Supplementary Data 6), whereas few
community members are predicted to use H2 (Supplementary
Fig. 16, Supplementary Data 6).
Metabolic annotations of the derived genomes suggests that
many identified taxa in this ecosystem adopt an organohetero-
trophic lifestyle. Highly transcribed genes include a wide range of
carbohydrate-active enzymes (CAZymes, Fig. 5,30), as well as the
substrate-binding protein of the oligopeptide transporter (OppA;
Supplementary Fig. 6). The highest enrichment (genes/Mbp),
diversity (number of different
families), and transcripts of
CAZymes were detected in reconstructed genomes of the phyla
Hydrogenedentota, Latescibacterota, Myxococcota, Planctomyce-
tota, and Verrucomicrobia. The CAZyme-rich genomes were
among the most abundant (i.e., with highest coverage) in our
study (Supplementary Fig. 4) and belong to the phyla enriched
under the Ross Ice Shelf with respect to deep ocean environments
(Fig. 2d). These genomes
contained glycoside hydrolases,
polysaccharide lyases, and glycosyltransferase families required
for the utilization of heterogeneous polysaccharide chains, such as
alginate, rhamnose, and xylan (Supplementary Data 7). These
genomic features are consistent with previous studies describing
the capability of these phyla to metabolize recalcitrant organic
polymers31–33. Thus, the proportion of the community differen-
tially enriched in this ecosystem could be adapted to degrade
refractory organic compounds persisting in the advected waters
beneath the Ross Ice Shelf. In contrast to their autotrophic
counterparts, these heterotrophic populations transcribed a large
percentage of their genome (~80%), especially in deeper waters
(Supplementary Fig. 4d–f), with transcriptional effort spreading
across a variety of substrate-utilization processes.
The metatranscriptome also revealed various other processes
supporting life beneath the shelf. The heterotrophic majority in
this system transcribed genes involved in the acquisition of
inorganic and organic nitrogen and phosphorus compounds (e.g.,
urea, isocyanates, phosphonates, polyphosphonates; Supplemen-
tary Fig. 6). Genes encoding for cold adaptation processes (e.g.,
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Ross Ice Shelf
HWD-2
melting/refreezing ice
NH3
?
NH3
NH3
ice basalboundary layer
Nitrosopumilus spp.
Nitrospina spp.
S-oxidizing lithoautotrophs
(e.g. Thioglobus spp.)
organoheterotrophs
(e.g. Latescibacterota )
advected Corg
in situ produced Corg
NH3
IBL
NH3
CO2
HbsC
GT
AmoA
CO2
AclB
-
NO2
NxrA
-
NO3
Sred
CO2
RbcL
2-
SO4
SoxB
GH
V-IL
S-IL
BBL
GH
GH
GT
Deep cavity circulation
Continental Shelf
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estimate that the waters sampled at the borehole location have
been in the cavity for as much as four years prior to sampling; this
is up to 10-20-fold longer than the time predicted for marine
snow from the ocean surface to reach the abyss (~6000 m38,).
Likewise, the heterotrophic production rates measured in this
study and at borehole J910 were among the lowest measured in
environments with similar
marine
temperatures39. It has been suggested that production rates are
highly influenced by the supply and concentration of labile dis-
solved organic material39, and thus the water column beneath the
ice shelf is predicted to be highly oligotrophic with respect to
labile organic matter.
ecosystems,
including
Based on these heterotrophic rates and assuming a heterotrophic
prokaryotic growth efficiency of ~5% (typical of deep oceanic
waters, e.g.,40.), we estimate a total organic carbon demand (i.e., the
combined carbon incorporation into biomass and respiration) of
~6–12 µmol C m−3 d−1. This total carbon demand is in the same
range as the carbon fixation rates reported from the environment
beneath the J9 borehole (8.3 µmol C m−3 d−112). While the con-
tribution of exogenous organic matter remains to be quantified, the
close coupling between in situ dark carbon fixation and organic
carbon demand suggests that the ecosystem beneath the Ross Ice
Shelf is largely sustained by dark carbon fixation. This would differ
from deep open ocean environments, where heterotrophic carbon
demand significantly relies on the vertical fluxes of particulate
organic carbon generated in the euphotic layer41,42.
Fig. 6 Schematic illustration of the dominant bacterial and archaeal
groups in the water column under the Ross Ice Shelf. Dotted lines
represent the three depths sampled below the sea ice in this study (not to
scale; for a scaled representation, see Fig. 1). At the lower fringe of the ice
basal boundary layer (IBL), high concentrations of ammonium (from a yet
unknown source) are likely to drive high relative abundance and
transcriptional activity of ammonium oxidizing archaea (Nitrosopumilus
ssp.) and nitrite oxidizing bacteria (Nitrospina ssp.). These, together with
sulfur-oxidizing chemolithoautrotrophs (belonging to e.g., the genus
Thioglobus), are likely the main source of new organic matter to this
ecosystem. The representative enzymes for the metabolic pathways are
displayed only once for simplicity but were detected at all depths. The
heterotrophic majority is characterized by metabolically versatile bacterial
lineages (e.g., belonging to the phylum Latescibacterota), encoding and
transcribing multiple copies of carbohydrate-active enzymes (CAZymes,
such as glycosyl transferases GT, or glycosyl hydrolases, GH). These likely
feed on in-situ generated or laterally advected complex organic matter.
cold-shock proteins), osmoregulation (e.g., glycine betaine
transporters), and motility (i.e., flagellar apparatus) were highly
transcribed (Supplementary Fig. 6). The constitutive expression of
cold-shock chaperones can protect against cold-induced protein
misfolding34 and is likely an adaptive response to maintain
protein homeostasis at the very low water temperatures below the
shelf. Furthermore, transport of compatible solutes protects the
cell against freezing, hyper-osmolality, and desiccation35. Glycine
betaine transporters may provide an additional advantage given
these transporters were recently shown to be multifunctional, as
in addition to the key
they transport multiple substrates
osmoregulatory compound glycine betaine36.
Discussion
Collectively, our results provide a detailed insight on the ecolo-
gical strategies adopted by communities living in the world’s most
extensive sub-ice shelf system. Oceanic cavities below ice shelf
systems are uniquely different from open ocean environments in
their dependence on in situ chemosynthesis and on lateral
advection of food sources from open-water areas, rather than on
vertical fluxes of phytoplankton-derived detrital matter37. We
Our multi-omic results support this hypothesis, while unco-
vering the mediators and pathways responsible for the auto-
trophic and heterotrophic activities under the Ross Ice Shelf
(Fig. 6). Among the lineages represented by MAGs and SAGs
with the highest transcriptional activity are those originating from
the chemolithoautotrophic genera Nitrosopumilus and Nitros-
pina. Overall, this agrees with previous reports that aerobic
ammonium-oxidizing microorganisms are widespread in Ant-
arctic marine environments (e.g.,43) and that ammonium oxida-
tion occurs beneath Antarctic shelves and sea ice12,44. These and
other inferred facultative chemolithoautotrophs (such as facul-
tative sulfur-oxidizing bacteria) are likely to be responsible for
dark carbon fixation rates previously observed beneath borehole
J912 and thus provide a supply of organic carbon to an ecosystem
shielded from sunlight.
(e.g., Nitrospina, Nitrosopumilus,
The importance of dark carbon fixation has been recognized in
various oceanic regions during the polar winter. Microbial
lineages
and
Marinisomatota45–47) and enzymes (such as those mediating
ammonium, nitrite, and sulfur oxidation48) that mediate che-
molithoautotrophy have been observed to increase in Antarctic
waters during the transition to the winter season. Likewise,
comparable lineages and genes capable of sulfur compound oxi-
dation have been detected in winter open waters and the central
basin under the Ross Ice Shelf. Together with mounting evidence
that sulfur compound oxidizers sustain carbon fixation in the
wide dark open ocean (e.g.,49) and the diverse sources of reduced
sulfur compounds in marine oxic environments (e.g.,50), it is
plausible that these clades can also contribute to chemoauto-
trophy in the oceanic cavity beneath the Ross Ice Shelf.
SAR324,
It is likely that ammonium is a primary energy source sustaining
primary production in aphotic Antarctic waters. Consistent with
this idea, ammonium oxidation rates have been reported to be
higher in Antarctic coastal waters during the austral winter and to
significantly support the heterotrophic demand43. In the absence of
direct rate measurements in this study, we estimated the ammo-
nium oxidation rates potentially supported by the standing
ammonium concentrations in the water column. Our estimates for
+ d−1) are in accordance to rates
the basal layer (~90 nM NH4
+ d−1) with
measured in the Southern Ocean (62 nM NH4
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+;43), and
comparable ammonium concentrations (0.7 µM NH4
could support the heterotrophic demand in the oceanic cavity
under the shelf (Supplementary Notes). These estimates suggests
that the microbial communities beneath the Ross Ice Shelf can
sustain ammonium oxidation at similar rates to those in the winter
Antarctic Ocean and have the potential to be significant primary
producers.
The ammonium profile beneath the Ross Ice Shelf is intriguing.
Contrary to other nutrient concentrations measured (which do
not vary significantly through the water column), ammonium
concentrations are significantly higher in the ice basal boundary
layer compared to the deeper water samples, but comparable to
those in the periphery of the shelf4. This profile (exclusive for
ammonium with respect to other nitrogen species) is consistent
with the reports beneath borehole J912. The proposed circulation
model beneath the shelf13, by which the cavity is filled southward
by dense water masses that reach its interior via deep cavity
circulation, renders it unlikely that the high ammonium con-
centrations detected in the fresh, northward flowing waters
beneath borehole HW2D or J9 originate from the open Ross Sea.
If externally sourced, nutrient concentrations would be
expected to be highest in deeper waters, or else be homogenized
in the water column as water masses evolve and mix in the cavity.
The latter appears to be the case for the other nutrients measured
in this and the J9 expedition. The exception observed in the
ammonium profile suggests that this compound could be sourced
beneath the ice shelf. In particular, terrestrial-origin sediments in
the basal ice layer may be a significant source of ammonium to
the seawater circulating beneath. Deployment of cameras at
HWD2 revealed sedimentary englacial debris in the lower 20
meters of the ice shelf13. While ice melting and freezing can
plausibly result in the rainout of the pellets in a sub-ice-shelf
cavity, we did not witness this effect; no sediments were retrieved
from the pumping samples and the microbial communities
sequenced from the englacial debris and the water column were
unrelated (Supplementary Fig. 2). However, temperature and
salinity data from our study site (Fig. 1b,13) clearly showed ice-
shelf basal melting and a supply of freshwater to the upper region
of the water column, a phenomenon that could result in the
observed replenishment of ammonium concentrations in this
system. In free-floating sea ice, as well as in subglacial lakes,
ammonium enrichments have been traditionally attributed to wet
and dry atmospheric deposition, as well as in situ organic matter
regeneration in brine channels, especially within older and thicker
ice51–53. The latter may be also a mechanism for ammonium
accumulation in deep layers of the ice shelf54, subject to solubi-
lization and transport by fresh melt water. If such is the case, the
ammonium transported by the ice basal boundary layer could be
sourced locally (at borehole HWD2) or elsewhere upstream.
Dissolved nutrients in the ice sheet or englacial debris are even-
tually diluted as they circulate the interior of the shelf54, which
could explain the observed higher concentrations in the water
column from borehole J912, 330 km upstream from our study site.
While the driving factors of the nutrient profile in the water
the tenfold decrease in ammonium
column remain unclear,
concentrations correlate with changes in relative transcriptional
activity of
the ammonium-oxidizing genus Nitrosopumilus
(Supplementary Fig. 4). As described in Supplementary Notes, we
observed depth-related differences
in microbial community
composition, metabolic capabilities, and gene expression, though
additional depth profiles would be required to confirm this.
The community members with highest relative abundance and
transcriptional activity throughout the water column included
nitrifying autotrophic taxa and organoheterotrophic bacteria
(Supplementary Figs. 4, 5 and 6). It is likely that the genomes with
highest relative transcriptional activity represent two opposite
adaptative strategies to the conditions beneath the Ross Ice Shelf.
Based on the proportion of their genome expressed, nitrifiers are
the surrounding environment by
likely to effectively exploit
expressing a reduced set of genes encoding a few metabolic
pathways. The opposite is observed in the highly expressed het-
erotrophic clades (Supplementary Fig. 4). By expressing up to
95% of their genome (e.g., in members of Latescibacterota and
Verrucomicrobiota), the transcriptional effort of the latter is
spread across a variety of process and in particular, to the
exploitation of multiple substrates. These observations are con-
sistent with previous studies combining expression and genomic
datasets, which suggest that activity levels, substrate utilization
and transcriptome diversity may be linked in defining ecological
niches of microbial communities55,56.
In particular, our results suggest that the most active hetero-
trophic organisms are adapted to degrade complex organic com-
pounds, including most of the enriched phyla in this environment,
such as Myxococcota and Planctomycetota. Their capacity to
degrade complex organic material
from a range of sources,
including potentially of both autochthonous and allochthonous
origin, likely confers a major selective advantage in this highly
oligotrophic ecosystem. Heterotrophy based on the consumption of
recalcitrant dissolved organic carbon has been considered as one
possibility for sustaining the oceanic Antarctic winter food web57,
and could also be an additional support for life under the Ross Ice
Shelf. Unlike organic carbon in Antarctic winter waters, which may
have accumulated during the highly productive summer season,
organic substrates beneath the Ross Ice Shelf potentially consist of
vertically transported exudates and necromass derived from
lithoautotrophic primary producers, but also recalcitrant complex
organic compounds laterally transported from the Ross Sea into the
shelf cavity. Decomposition of phytoplankton entering the shelf
cavity is estimated at a scale of ~10 years4. Together with previous
reports of diatoms in below-shelf waters9, this indicates that some
photoautotrophically-derived organic matter can reach the center of
the oceanic cavity. However, the metagenomes suggest that pho-
tosynthetic eukaryotes (i.e., class Bacillariophyceae) make a small
fraction of the eukaryotic community (0.05 %); this finding is also
consistent with undetectable concentrations of chlorophyll a
beneath borehole J912. Despite potentially serving as a substrate for
organoheterotrophs beneath the ice shelf, phytoplankton are
therefore unlikely contributors to the dissolved organic matter pool,
whereas detrital sources of bacterial substrates may be more
important. Further work is now needed to discriminate organic
matter sources and nutrient exchange processes within the shelf.
Overall, microorganisms under Antarctica’s ice shelves can
thrive in some of the coldest and possibly carbon-limited marine
waters, while playing a crucial role in the remineralization of
nutrients to the Southern Ocean. Our results not only suggest that
the waters below the Ross Ice Shelf are driven by chemo-
lithoautotrophic processes, but also uncover the mechanisms
responsible for sustaining that activity58. Alongside other recent
reports of oceanic dark carbon fixation,27,49,59, this study also
emphasizes the importance of inorganic energy sources in driving
marine communities in the absence of photosynthesis. Finally,
our results suggest that ammonium associated with fresh melt
waters at the base of the ice is an important supply of inorganic
electron donors supporting chemolithoautotrophy, and thus has a
significant
the
microbial community. Ocean-driven basal melting, a source of
freshwater and thus potentially of ammonium in the sub-ice
cavity, may increase in a warming climate scenario60. Assuming
that our observations are representative of the central region of
the cavity under the Ross Ice Shelf, increased basal ice melting
could result in an increased vulnerability of communities sup-
ported by sub-ice shelf processes61, potentially leading to shifts in
influence in the composition and activity of
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the relative biogeochemical importance of chemolithoautotrophic
processes in this extensive ecosystem. These insights emphasize
the importance of baseline data from existing sub-ice shelf eco-
systems, such as the Ross Ice Shelf, to inform the prediction of
biogeochemical impacts of climate change in the Southern Ocean.
Methods
Site selection and description. Sampling took place in December 2017 and was
conducted by members of the Aotearoa New Zealand Ross Ice Shelf Program.
Samples were collected from the sub-shelf water column at a site in the central
region of the ice shelf, borehole HWD-2 (Latitude -80.6577 N, Longitude
174.4626 W), ~300 km from the shelf front and 330 km northwest of borehole J9
(Fig. 1a). The sampling site is near the glaciological boundary between ice origi-
nating from the West Antarctic Ice Sheet and ice flowing from East Antarctica
through Transantarctic Mountain glaciers (Fig. 1a). Sediment of terrestrial origin
was observed in the lowermost ~60 m of the ice.
Hot water drilling and sampling. A hot water drilling system built and operated
by the Victoria University of Wellington Drilling Office was used to bore through
the ice shelf, creating an access borehole with a maximum diameter of 30 cm. The
borehole was used for direct sampling of water and sea floor sediments, and to
conduct in situ measurements in the water column. These activities were con-
ducted inside a custom-built tent that facilitated 24-h operations in any weather
conditions. Seawater samples were obtained from three depths (400 m, 550 m, and
700 m from the top of the shelf, which correspond to 30 m, 180 m, and 330 m deep
from the bottom of the ice shelf, respectively). These were chosen to characterize
the water column under the Ross Ice Shelf while keeping the sampler ca. 40–50 m
away from the seafloor and from ice crystals and sediment in the ice-shelf basal
layer. The drilling water was fresh (<15 psu) and relatively warm (between −1 and
+1 °C), so it remained stably floating in the borehole and did not sink into deeper
layers. This, together with the advection of seawater below the ice shelf, precluded
any contamination of collected seawater with the drilling water (Supplementary
Fig. 2a, b). The lack of intrusion of the freshwater used for the drilling was rou-
tinely checked by salinity and temperature-depth profiles.
Samples were collected by in situ filtration using a McLane WTS-LV-Bore Hole
filter pump fitted with a 142 mm diameter, 0.22 μm pore-size filter (Supor
membrane filters, Pall Corporation). Before and after deployment, the filter holder
was thoroughly cleaned to avoid sample cross-contamination. The pump head
interior was also flushed after every deployment with fresh water to prevent salt
crystal formation and sample contamination. This sampling approach was aimed at
obtaining the most realistic representation of the microbial community’s
composition and activity with the minimum possible sampling biases.
Approximately 200 L of water were filtered at each depth within ca. 2 h. Thereafter,
filters were placed in sterile Petri dishes and divided into seven sections using
sterile scalpels and transferred to cryovials. The filtered, frozen samples were
directly stored in zip lock bags in a 3 m deep borehole drilled into the cold surface
snow layer until transported to Scott Base (and further airplane transport to New
Zealand). The temperature of the samples deposited in the storage borehole
remained stable ranging mostly between –27 °C and –28 °C (Supplementary
Fig. 17). These samples were used for 16S rRNA amplicon sequencing,
metagenomics, and metatranscriptomics.
Water samples (150–300 mL) were also collected at the same three depths using
the McLane WTS-LV-Bore Hole pump without a filter-holder in order to further
minimize contamination. Once the pump was brought up, it was run in reverse to
collect the water, but excluding the first 30–60 mL of water (used for rinsing).
Water samples for inorganic nutrient analyses were filtered through combusted
Whatman GF/F filters, collected in acid-cleaned HDPE bottles, and stored frozen
until analysis in the home laboratory, following procedures recommended by the
Joint Global Ocean Flux Study (JGOFS62). The liquid samples for the
determination of microbial cell abundance, prokaryotic heterotrophic production,
and the generation of single-cell amplified genomes (SAGs) were collected in acid-
cleaned Nalgene™ opaque amber HDPE bottles, stored at 2 °C, and transported
within 48 h to Scott Base to perform further laboratory analyses. The samples were
imported to New Zealand under Ministry for Primary Industry permit number
2017063583 (Permit to import Restricted Biological Products of Animal Origin)
issued to the University of Otago Department of Marine Science.
To check for potential contamination, samples were also collected from the
following sites: freshly melted snow nearby the camp area, drilling water from a
reservoir tank, and sediments dislodged from the ice shelf (identified as englacial
debris) and collected with the reaming tool. Water samples were filtered onto
0.22 µm polycarbonate filters (47 mm filter diameter, Millipore), and all samples
were stored in cryovials and frozen.
Physicochemical measurements. A SBE 19plusV2 SeaCAT Profiler CTD (Seabird
Electronics, Inc.) was used to measure temperature, salinity and depth within the
borehole and in the water under the Ross Ice Shelf for a detailed characterization of
the water column. Furthermore, a self-contained single channel logger (RBR Solo)
was attached to the frame of the WTS-LV-Bore Hole pump (at the opposite side of
the water intake) for an accurate determination of the temperature and depth of the
sampling casts. Samples for determining the concentrations of nitrate, dissolved
62 were colorimetrically
reactive phosphorus (phosphate), ammonium and SiO2
analyzed using flow-injection analysis on a Lachat Auto-analyzer according to
methods described elsewhere63. Measurements of nutrient concentrations were
routinely corrected with reference blank solutions in each sample run. No
anomalies were detected in the blanks, indicating no source of detectable con-
tamination during the measurements.
Prokaryotic abundances and heterotrophic production. Prokaryotic abundance
was determined by flow cytometry. Samples (1.6 mL) were preserved with glutar-
aldehyde (2% final concentration), left at 4 °C in the dark for 15 min, flash-frozen
in liquid nitrogen, and stored at −80 °C until analysis. Prior to analysis, the fixed
samples were thawed, stained in the dark with a DMS-diluted SYTO-13 dye
(Molecular Probes Inc., 2.5 µM final concentration) for 5 min, and run on a BD
AccuriTM flow cytometer with a laser emitting at 488 nm wavelength. Samples
were run at low or medium speed until 10,000 events were captured. A suspension
of yellow–green 1 µm latex beads (105–106 beads mL−1) was added as an internal
standard (Polysciences, Inc.).
Prokaryotic heterotrophic activity was estimated via the incorporation of
3H-leucine using the centrifugation method64. 3H-leucine (Perkin-Elmer, specific
activity 169 Ci mmol−1) was added at saturating concentration (40 nmol L−1) to
triplicate 1.2 mL subsamples. Controls were established by adding 120 µL of 50%
trichloroacetic acid (TCA) to triplicate control tubes 10 min prior to radioisotope
addition. The microcentrifuge tubes were incubated in the dark at 4 °C for 48 h.
Incorporation of leucine in the quadruplicate tubes per sample was terminated by
adding 120 µL ice-cold 50% TCA. Subsequently, the samples and the controls were
kept at –20 °C until centrifugation (at ca. 12,000 × g) for 20 min followed by
aspiration of the water. Finally, 1 mL of scintillation cocktail was added to the
microcentrifuge tubes before determining the incorporated radioactivity after
24–48 h on a Tri-Carb 2000® Liquid Scintillation Counters scintillation counter
(Perkin-Elmer) with quenching correction. The blank-corrected leucine
incorporation rates were converted into prokaryotic heterotrophic production
(PHP) using the theoretical conversion of 1.55 kg mol−1 leucine incorporated65–67.
The rates of leucine incorporation obtained at the incubation temperature (4 °C)
were converted to the in situ temperature of -2 °C using an activation energy of
72 kJ mol−1[ 67.
Single cell genomics. Sample collection and analyses were performed as described
previously27, see Supplementary Methods for full description. Briefly, triplicate
seawater samples (1 mL) were transferred to a sterile cryovial containing 100 µL of
glyTE (20 mL of 100 × TE buffer pH 8.0, 60 mL Milli-Q water and 100 mL of
molecular-grade glycerol), and samples were stored at –80 °C until analysis. SAG
generation was performed at the Single Cell Genomic Center at Bigelow Laboratory
for Ocean Sciences (SCGC) using fluorescence-activated cell sorting and WGA-X
genomic DNA amplification. Paired-end Illumina libraries were created with
Nextera XT (Illumina), sequenced with NextSeq 500 (Illumina) and de novo
assembled using a workflow based on SPAdes68 as previously described69. The
quality of the sequencing reads was assessed using FastQC v0.11.7 (https://
www.bioinformatics.babraham.ac.uk/projects/fastqc/) and the quality of the
assembled genomes was determined using CheckM v.1.0.770 and tetramer fre-
quency analysis71. This workflow was evaluated for assembly errors using three
bacterial benchmark cultures with diverse genome complexity and %GC, indicating
no non-target and undefined bases in the assemblies and average frequencies of
mis-assemblies, indels and mismatches per 100 kbp: 1.5, 3.0 and 5.069. Functional
annotation was first performed using Prokka72 with default Swiss-Prot databases
supplied by the software. Prokka was run a second time with a custom protein
annotation database built from compiling Swiss-Prot73 entries for Archaea and
Bacteria.
DNA extraction, 16S rRNA gene amplicon and metagenomic sequencing. DNA
was extracted using a PowerSoil® DNA Isolation Kit (MoBio, Carlsbad, CA, USA).
The manufacturer’s protocol was modified to use a Geno/Grinder for 2 × 15 s
instead of vortexing for 10 min and a final elution of 50 µL solution C6 (sterile
elution buffer, 10 mM Tris) was used. DNA concentration was measured using a
Nanodrop spectrophotometer (Thermo Fisher). The median 260/280 nm wave-
length ratio was 1.5 with a lower quartile of 1.4 and an upper quartile of 1.7.
Extractions were performed in triplicate for each depth under the Ross Ice Shelf
(total of 9 samples) for subsequent amplicon and metagenomic sequencing.
16S rRNA gene amplicon sequencing was carried out using the Earth
Microbiome Project74 protocols and standards (http://earthmicrobiome.org/
protocols-and-standards/16s/), which include the following modifications to the
original 515F–806 R primer pair75 (the updated sequences, 5′- 3′, are as follows:
515 F: GTGYCAGCMGCCGCGGTAA; 806 R: GGACTACNVGGGTWTCTAAT).
In brief, degeneracy was added to both the forward and reverse primers to remove
known biases against Crenarachaeota/Thaumarchaeota (515 F, also called 515F-
Y76) and the marine and freshwater Alphaproteobacterial clade SAR11 (806 R77,).
All amplicons (independent replicates) were run on an Illumina (Foster City, CA,
USA) MiSeq 250 bp × 2 run. For metagenomic sequencing, Thruplex DNA libraries
10
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(~300 bp inserts) were created from each individual DNA extraction and
sequenced in an Illumina HiSeq 2500 platform (2 × 125 bp).
RNA extraction and metatranscriptomic sequencing. RNA was extracted fol-
lowing the RNeasy mini kit (Qiagen, Hilden, Germany) procedure and the ethanol
precipitation protocol. The remaining DNA was removed with TurboDNase
(Invitrogen, Carlsbad, CA, USA) and the efficiency of removal was tested with
PCR. Enrichment of RNA was performed with 20 μL of sample RNA following the
procedures of the MICROBEnrich (Ambion, Austin, TX, USA) and MICROBEx-
press (Ambion, Austin, TX, USA) kits. Thereafter, the MessageAmp II-Bacteria kit
(Invitrogen) was used to improve the subsequent amplification and purification:
enriched RNA was reverse transcribed to cDNA, which was in vitro transcribed
back to amplified RNA (aRNA) using the mentioned kit. Quantifications were
simultaneously run with a Nanodrop spectrophotometer (Thermo Fisher) and a
Qubit fluorometer (Invitrogen, Carlsbad, CA, USA) using the RNA HS Assay kit
and an RNA profile generated with a Bioanalyzer 2100 (Agilent Technologies,
Böblingen, Germany). aRNA was shotgun sequenced directly in an Illumina
HiSeq4000 platform (CNAG, Barcelona, Spain), generating between 28–35 Gb of
2 × 101 bp reads per sample.
16S rRNA gene amplicon profiling. Paired-end 16S rRNA gene amplicon
sequences were processed on the QIIME2 platform using the DADA2 pipeline to
resolve exact amplicon sequence variants78,79. Raw reads were demultiplexed,
yielding 302,585 reads across 16 samples. Quality plots were generated and
sequences failing to pass an average base call accuracy of 99% (Phred score 20)
were excluded. Low quality regions of each sequence were removed by trimming
the first 13 bases of the forward and reverse reads and truncating at 150 base pairs
before de-noising with DADA2 using the function qiime dada2 denoise-paired with
default parameters. The final dataset contained 1228 amplicon sequence variants
(ASVs) with a total frequency of 271,736. Taxonomic assignment was performed
by using a Genome Taxonomy Database classifier built for the QIIME2 platform,
using the SSU sequence files from GTDB ssu_r86.1_20180911 (https://osf.io/25djp/
wiki/home/). The classifier was first spliced to the 515 F/806 R primer pair using
the qiime feature-classifier extract-reads, and trained using the qiime feature-
classifier fit-classifier-naive-bayes command in QIIME279. The trained classifier was
then used to assign the taxonomy to the ASV features using our representative
reads via the function feature-classifier classify-sklearn. No sequence overlap was
observed between below-shelf waters with those of control samples (e.g., drilling
fluid, sediment recovered from basal ice on the shelf, snow at the camp site)
(Supplementary Fig. 2), confirming absence of contamination in the water column
samples.
Metagenomic community profiling. Raw metagenomic and metatranscriptomic
paired-end reads were quality-assessed with FastQC v0.11.7 and MultiQC v1.080.
BBDuk v38.51 from the BBTools suite (https://sourceforge.net/projects/bbmap/)
was used to trim adapter sequences, remove reads corresponding to Illumina’s
PhiX sequencing control, trim low-quality bases (minimum quality score 20), and
discard short sequences (minimum length 50 bp). The metatranscriptome reads
were further processed with SortMeRNA v2.1b81 to remove reads corresponding to
prokaryotic and eukaryotic ribosomal RNA, followed by BBDuk to filter low-
complexity reads (entropy threshold 0.05).
In addition, taxonomic profiling of bacteria, archaeal, and eukaryotic communities
was performed with 16S rRNA gene sequences extracted from metagenomic reads
(miTags) using a previously described protocol19. miTags were also extracted from
bathypelagic samples from the Malaspina Circumnavigation expedition23,
metagenomic surveys in the Arctic and Southern Ocean21, as well as metagenomic
datasets from polar regions obtained from the TARA Ocean Expedition22. This
allowed comparing these datasets to available miTags from epipelagic and
mesopelagic samples from the TARA Ocean Expedition20. Extracted 16S and 18S
rRNA gene reads were mapped to the SILVA non-redundant SSU Ref database
(v.138)82 and assigned to an approximate taxonomic affiliation (nearest taxonomic
unit, NTU) using PhyloFlash v3.083 (http://github.com/HRGV/phyloFlash).
Bacteriophage prediction was based on identifying viral signals in the
metagenomic-assembled contigs (described below) using VirSorter84. In brief,
viral-like genes were identified against a curated virome database84 and a set of
single-amplified viral genomes85. Abundance of viral contigs was estimated by
recruitment of metagenomic reads to viral contigs and calculation of contig
coverage. Open reading frames (ORFs) were detected and translated with Prodigal
v.2.6.386. Taxonomic classification of the translated sequences was based on
sequence homology search87 against the Uniref 100 viral database (http://
virome.dbi.udel.edu; e-value < 10−5) and used to obtain taxonomy classification of
viral contigs with the anvi-import-taxonomy function from Anvi’o v.5.288. The
metagenomic reads were mapped to the obtained viral contigs using Bowtie 289
(local alignment, sensitive setting). Coverage of viral contigs was calculated by
metagenomic read recruitment using Anvi’o.
Alpha- and beta-diversity analyses of 16S rRNA amplicons and extracted
miTAGs. All statistical analyses were carried out in R v3.5.3. Data manipulation
was performed using the R package tidyverse and all visualizations were made
using ggplot2. Community richness and beta-diversity was calculated using the R
packages Phyloseq90 and Vegan v2.5-691. In total, nine samples representing a
triplicate of depth profiles were used for downstream diversity analysis of ASVs
(Supplementary Fig. 3, Supplementary Data 3). Rarefaction curves were con-
structed to confirm that sequencing depth adequately captured richness in each
sample and rarefied using the Phyloseq rarefy_even_depth function with a sample
size of 15,400, which represented the minimum sequencing depth to retain 100% of
samples used for downstream analysis. Observed richness (counts) and estimated
richness (Chao1) was calculated using the estimate richness function in Phyloseq.
Normality of the distribution of alpha-diversity estimates was confirmed using a
Shapiro-Wilk test and a one-way analysis of variance (ANOVA) to test for sig-
nificant differences in richness across depth profiles. As a post-hoc, a Tukey
multiple comparison of means was used to confirm which pairs of sites showed
significant differences. For beta-diversity analysis on amplicon and miTag data,
Bray Curtis distance matrices were calculated in Vegan and visualized using a
principal coordinate analysis (PcoA). Independent permutational analysis of var-
iance (PERMANOVA) based on the Bray-Curtis dissimilarities values were cal-
culated with the adonis function in Vegan (999 random permutations), to test for
significant differences in community structure between depth profiles. Finally, a
beta-dispersion test (PERMDISP) was applied to confirm that observed differences
were not influenced due to dispersion. As a post-hoc evaluation of taxa responsible
for differences in microbial community structure, we performed an indicator
species analysis. We used the indicator value method92 to calculate indicator values
using the R package indicspecies. An individual ASV was considered a valid
indicator species if the p value was < 0.05 and the Test statistic (the indicator value)
was 0.5 or greater, based on 1000 random permutations93. IndVals were compared
between two groups, basal layer (30 m) and mid-column samples (180 m and
330 m), with the multipatt function in the R Indicspecies package (with the option
control = how(nperm = 999)). This function uses an extension of the original
Indicator Value method: it looks for indicator species of both individual site groups
and combinations of site groups94.
Counts per NTU (at species-level resolution) of extracted miTAGs were used
for comparative analyses between communities under the Ross Ice Shelf and other
oceanic samples. Only bacterial and archaeal species with >4 reads per sample were
included in the analyses. Samples were divided into four groups, according to
sampling depth or location: below-shelf ocean cavity (depth 30–330 m, n = 9),
epipelagic (depth <200 m, n = 169), mesopelagic (depth ~200–1000 m, n = 60),
and bathypelagic (depth 1000–4000 m, n = 54). The Vegan function vegdist was
used to calculate a Bray-Curtis dissimilarity matrix between all samples, which was
visualized by hierarchical cluster analysis (average linkage method, function hclust
in Vegan). Significant differences (p < 0.05) between relative abundances of taxa
from deep (>200 m) open ocean communities worldwide and below-shelf
communities were confirmed using a non-parametric one-way analysis of variance
(Kruskal-Wallis test, function kruskal.test() in R base).
The following comparisons were restricted to two groups from deep, polar
environments: samples from mesopelagic and bathypelagic polar environments
(n = 42) and samples from the below-shelf cavity (n = 9). As distance-based
multivariate methods can confound the within- and between-group effect size and
fail to account for the mean variance relationship95, a generalized linear model
(GLM) approach was used via the R package mvabund96. A multivariate model was
fitted using the manyglm function and negative binominal distribution. To test the
multivariate hypothesis of whether species composition varied across sub-ice and
open water, the anova function was used which performed an analysis of deviance
using likelihood ratio tests (LRT) and PIT-trap resampling of p values using 1000
iterations. To further examine which taxa contribute to compositional changes, a
series of univariate tests were performed on each taxon using the p.uni = “adjusted”
argument in the anova function. IndVal values were also calculated, using the same
parameters described above, to identify which species contributed most to the
differences between sub-ice environments and deep open ocean waters, Further, an
additional post hoc test for between-group differences was performed with analysis
of similarity percentages (simper97,) on a Bray-Curtis dissimilarity matrix
calculated as described above.
Metagenomic assembly and binning. For assembly, metagenome paired-end
reads were error corrected using Bayes Hammer implemented in SPAdes v.3.0.068,
merged with BBmerge v.36.3298 and normalized to a kmer depth of 42 with
BBnorm v.36.32, from the BBtools program suite. Co-assembly of metagenomes
was performed with MEGAHIT v.1.1.199 with merged and unmerged reads.
Metagenomic reads were mapped back to the co-assembly (min. length 1 kb) using
BBmap v.36.32100 to calculate differential coverage across all samples.
Contigs were binned with MetaWatt v.3.5.3101, MaxBin v.2.2.7102 and
MetaBAT v.2.12.1103. Bins were automatically de-replicated and aggregated with
DasTool104, then manually inspected and refined with Anvi’o v.5.288. Bins
classified as Archaea, Gammaproteobacteria, Deltaproteobacteria,
Gemmatimonadota, Actinobacteriota, and Chloroflexota were selected from the
bulk co-assembly and used for read recruitment with a minimum identity of 70%
using BBmap v.36.32. This led to less complex subsets of reads for subsequent re-
assembly with a more thorough assembler (SPAdes). For each taxonomic group a
separate re-assembly with SPAdes v.3.0.0 was performed followed by a new round
of binning as described above and manual refinement in Anvi’o. This procedure
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improves assembly (i.e., number of scaffolds reduced) and consequently bin
metrics such as contig length and purity of bins105. Completeness and quality of
final assemblies were assessed by CheckM v.1.0.770, with bins with >50%
completeness and <5% contamination (i.e., high and medium quality bins) retained
for further analysis25.
Genome de-replication, classification, and phylogenetic analysis. Metagenomic
bins and single-cell-assembled genomes with >50% completeness were defined as
MAGs and SAGs, respectively, and collectively as ‘genomes’ for simplicity. Com-
parison and de-replication of genomes were performed with dRep pipeline106. In
brief, genomes were grouped at an average nucleotide identity (ANI) of 99%.
Representative genomes from each cluster were selected based on the highest
‘genome score’106. This analysis provided a de-replicated genomic database of
population genomes. BBmap and samtools were used to recruit reads from the
metagenomes (97% identity), and Anvi’o was used to calculate the interquartile
(Q2Q3) mean coverage of the de-replicated genomes across samples. On average,
50–60% of each sample’s metagenomic reads mapped to the metagenomic and
SAG contigs.
MAGs and SAGs were taxonomically assigned using the tool GTDBTk v.0.0.6
(release 80, www.github.com/Ecogenomics/GtdbTk) in accordance to the Genome
Taxonomy Database107 (Supplementary Data 4). Phylogenetic tree construction for all
235 MAGS/SAGS was performed using ribosomal protein sequences retrieved from
CheckM v.1.0.770 (Fig. 3). The concatenated marker sequence for each genome was
aligned using MAFFT108 and an approximate maximum-likelihood phylogenetic tree
was generated using FastTree 2109 with default parameters. The tree was then visualized
and annotated using the web-based tool iTOL v.6 (https://itol.embl.de).
Metabolic profiling of MAGs, SAGs, and assembled unbinned reads. ORFs in
binned and unbinned contigs were predicted using Prodigal v.2.6.3.86, with default
noise-cut-offs followed by manual filtering using HMM cut-off scores previously
described110. The predicted ORFs were automatically annotated with the standard
RAST annotation pipeline111, and against the Pfam (release 32.0)112 and TIGRfam
(release 15.0)113 HMM models using Interproscan 5114.
Phylogenetic trees were constructed to validate findings and to determine
which protein classes / lineages were present in the Ross Ice Shelf (Supplementary
Figs. 7–16). Trees were constructed for AmoA, NxrA, HbsT, RbcL, AclB, DsrA, Sqr,
SoxB, CoxL, and the group 1 h [NiFe]-hydrogenase (HhyL). In all cases, protein
sequences retrieved from the MAGs, SAGs, and metagenomic assembled reads by
homology-based searches were aligned against a subset of reference sequences from
a custom database containing 51 proteins (available at https://doi.org/10.26180/
c.5230745) using ClustalW in MEGA7115. Evolutionary relationships were
visualized by constructing maximum-likelihood phylogenetic trees. Specifically,
initial trees for the heuristic search were obtained automatically by applying
Neighbor-Join and BioNJ algorithms to a matrix of pairwise distances estimated
using a JTT model, and then selecting the topology with superior log likelihood
value. All residues were used, and trees were bootstrapped with 50 replicates.
Annotation of carbohydrate active enzymes (CAZymes) was performed by
protein search against the CAZyme HMM database (dbCAN HMMdb release 8.0)
following the dbCAN2 CAZyme annotation pipeline116, with stringent parameters
for all CAZyme classes (E-value <1e−15 and coverage >0.35). We quantified the
number of genes in each genome encoding for different glycosyl hydrolases (GH),
glycosyl transferases (GT) and containing carbohydrate binding domains (CBD)
(Supplementary Data 7). Heatmaps for the 50 genomes with highest GH diversity
were generated in R with ggplot2 (Fig. 6), representing their abundance in the
metagenome and the metatranscriptome (as described in the section below).
Comparison of abundance and expression of assembled reads. To analyze the
expression of annotated ORFs, pre-processed metatranscriptomic paired reads
were merged with BBmerge98. Merged and unmerged non-rRNA sequences were
mapped to the metagenomic and SAG contigs (99% id) with BBmap (on average,
60% of each sample’s reads were successfully assigned). Quantification of mapped
reads per identified gene was performed with the function featureCounts of the R
Subread package117. The transcript abundance of each ORF was converted to
transcript per million (TPM) (Eq. (1)) for each sampled depth.
TPM ¼ A (cid:2) 1=ΣA (cid:2) 106
where A = reads mapped to gene/gene length (kbp).
ð1Þ
To minimize systematic variability of individual gene abundance, the genome
interquartile (Q2Q3) mean coverage (or, for unbinned contigs, the contig’s coverage)
was used to define gene abundance in the metagenome. Gene coverage was then
converted to counts per million (CPM), to allow for direct comparison with TPM.
CPM ¼ B (cid:2) 1=ΣB (cid:2) 106
ð2Þ
where B = gene coverage.
Data from sample replicates were combined for the above calculations.
metatranscriptomic reads were aligned using DIAMOND v0.9.24 to the 1 manually
curated protein databases described above and to the predicted ORFs that matched
the additional 10 HMMs described above (Supplementary Data 6). DIAMOND
mapping was performed with a query coverage threshold of >80% and a gene
specific threshold of 40% (RHO), 60% (AtpA, AmoA, MmoA, CoxL, NxrA, NuoF
and RbcL), 75% (HbsT), 70% (PsbA, YgfK, ARO, IsoA), (80%) PsaA, or 50% (all
other databases), with data further parsed to retain only group 1 and 2 [NiFe]-
hydrogenase hits. For the metagenomic data, forward reads with at least 124 bp in
length were used. For the metatranscriptomic data, paired-end reads were merged
with BBMerge v38.51 and merged reads of at least 124 bp in length were used. Data
from sample replicates were combined for this analysis. The abundance of each
gene was converted to reads per kilobase million (RPKM).
RPKM ¼ X=total sample reads (cid:2) 106
ð3Þ
where X = reads aligned to a gene/ gene length (kbp).
The gene abundances in RPKM from the metagenomic data were further used
to estimate the proportion of the community encoding these functions. The
processed metagenomic reads were aligned to each of the 14 universal single-copy
ribosomal marker genes available in SingleM (https://github.com/wwood/singlem)
with DIAMOND using a query coverage threshold of 80%. Alignments with a
bitscore below 40 were removed; the alignment counts were converted to RPKM as
described above and averaged across the 14 genes to represent the abundance of a
universal single-copy gene. Metabolic gene RPKM values were divided by this value
to obtain the average gene copies per organism in each sample (abundance relative
to a single-copy gene). Heatmaps representing the community percentage
(metagenomic data) and RPKM abundance (metatranscriptomic data) were
generated in R with ggplot2 (Fig. 4b). Where genes within the same pathway are
collapsed together, the values (community percentage or RPKM) are summed.
Reporting summary. Further information on research design is available in the Nature
Research Reporting Summary linked to this article.
Data availability
The data and code underlying Fig. 2a, c, d are provided in the github repository https://
github.com/ClaMtnez/Ocean_tags. The data underlying Figs. 3, 4 & 5 and
Supplementary Figs. 1, 4 & 5 are provided as a Supplementary Data Files. The sequence
data generated in this study have been deposited in the EMBL Nucleotide Sequence
Database (ENA) database under Bioproject PRJEB35712 (metagenomic and
metatranscriptomic raw reads, metagenomic and metatranscriptomic assemblies,
metagenomic assembled genomes, and single-cell amplified genomes) and in the NCBI
Sequence Read Archive (SRA) under Bioproject PRJNA593264 (16S rRNA gene
amplicon reads). The following public databases were used in this study: Swiss-Prot
database, https://www.uniprot.org/, release-2018_10; Genome Taxonomy Database,
https://gtdb.ecogenomic.org/, release 80; SILVA non-redundant SSU Ref database,
https://www.arb-silva.de/, v.138; UniRef 100 VIROME database, http://
virome.dbi.udel.edu; Greening lab metabolic marker gene database, https://doi.org/
10.26180/c.5230745; CAZyme HMM database, https://bcb.unl.edu/dbCAN2/, v.8.0; Pfam
HMM database, http://pfam.xfam.org/, release 32.0; and TIGRFAM HMM database,
https://www.ncbi.nlm.nih.gov/genome/annotation_prok/tigrfams/, release 15.0
Received: 13 January 2021; Accepted: 30 November 2021;
References
1.
Fretwell, P. et al. Bedmap2: improved ice bed, surface and thickness datasets
for Antarctica. Cryosph 7, 375–393 (2013).
2. Holland, D. M., Jacobs, S. S. & Jenkins, A. Modelling the ocean circulation
beneath the Ross Ice Shelf. Antarct. Sci. 15, 13–23 (2003).
3. Robinson, N. J., Williams, M. J. M., Barrett, P. J. & Pyne, A. R. Observations of
flow and ice-ocean interaction beneath the McMurdo Ice Shelf, Antarctica. J.
Geophys. Res. Ocean. 115, 1–10 (2010).
5.
4. Vick-Majors, T. J. et al. Biogeochemistry and microbial diversity in the marine
cavity beneath the McMurdo Ice Shelf, Antarctica. Limnol. Oceanogr. 61,
572–586 (2016).
Begeman, C. B. et al. Ocean Stratification and Low Melt Rates at the Ross Ice
Shelf Grounding Zone. J. Geophys. Res. Ocean. 123, 7438–7452 (2018).
Smethie, W. M. Jr & Jacobs, S. S. Circulation and melting under the Ross Ice
Shelf: estimates from evolving CFC, salinity and temperature fields in the Ross
Sea. Deep Sea Res. Part I Oceanogr. Res. Pap. 52, 959–978 (2005).
7. Michel, R. L., Linick, T. W. & Williams, P. M. Tritium and carbon-14
6.
Metabolic profiling of unassembled metagenome and metatranscriptome
reads. The abundance of particular metabolic functions independent of assembly
was calculated as previously described118. Briefly, pre-processed metagenomic and
8.
distributions in seawater from under the Ross Ice Shelf Project ice hole. Sci.
(80-.) 203, 445–446 (1979).
Post, A. L. et al. Modern sedimentation, circulation and life beneath the
Amery Ice Shelf, East Antarctica. Cont. Shelf Res. 74, 77–87 (2014).
12
NATURE COMMUNICATIONS |
(2022) 13:117 | https://doi.org/10.1038/s41467-021-27769-5 | www.nature.com/naturecommunications
NATURE COMMUNICATIONS | https://doi.org/10.1038/s41467-021-27769-5
ARTICLE
9. Clough, J. W. & Hansen, B. L. The Ross Ice Shelf Project. Sci. (80-.) 203,
433–434 (1979).
10. Azam, F. et al. Occurrence and metabolic activity of organisms under the Ross
Ice Shelf, Antarctica, at station J9. Sci. (80-.) 203, 451–453 (1979).
11. Bruchhausen, P. M. et al. Fish, crustaceans, and the sea floor under the Ross
Ice Shelf. Sci. (80-.) 203, 449–451 (1979).
12. Horrigan, S. G. Primary production under the Ross Ice Shelf, Antarctica1.
Limnol. Oceanogr. 26, 378–382 (1981).
13. Stevens, C. et al. Ocean mixing and heat transport processes observed under
the Ross Ice Shelf control its basal melting. Proc. Natl. Acad. Sci. USA 117,
16799–16804 (2020).
14. Reddy, T. E., Holland, D. M. & Arrigo, K. R. Ross ice shelf cavity circulation,
residence time, and melting: Results from a model of oceanic
chlorofluorocarbons. Cont. Shelf Res. 30, 733–742 (2010).
15. Gordon, L. I. et al. Seasonal evolution of hydrographic properties in the Ross
Sea, Antarctica, 1996–1997. Deep Sea Res. Part II Top. Stud. Oceanogr. 47,
3095–3117 (2000).
16. Tovar-Sánchez, A. et al., Impacts of metals and nutrients released from
melting multiyear Arctic sea ice. J. Geophys. Res. C Ocean. 115 (2010).
17. Biggs, D. C., Amos, A. F., Holm-Hansen, O., Oceanographic studies of
epi-pelagic ammonium distributions: the Ross Sea NH4+ flux experiment.
In Antarctic Nutrient Cycles and Food Webs. 93–103 (Springer Berlin
Heidelberg, 1985).
18. Arístegui, J., Gasol, J. M., Duarte, C. M. & Herndld, G. J. Microbial
oceanography of the dark ocean’s pelagic realm. Limnol. Oceanogr. 54,
1501–1529 (2009).
19. Logares, R. et al. Metagenomic 16S rDNA Illumina tags are a powerful
alternative to amplicon sequencing to explore diversity and structure of
microbial communities. Environ. Microbiol. 16, 2659–2671 (2014).
20. Sunagawa, S. et al. Structure and function of the global ocean microbiome. Sci.
(80-.) 348, 1261359 (2015).
21. Zhang, W. et al. Structure and function of the Arctic and Antarctic marine
microbiota as revealed by metagenomics. Microbiome 8, 1–12 (2020).
22. Salazar, G. et al. Gene expression changes and community turnover
differentially shape the global ocean metatranscriptome. Cell 179,
1068–1083.e21 (2019).
23. Duarte, C. M. Seafaring in the 21st century: the malaspina 2010
circumnavigation. Exped. Limnol. Oceanogr. Bull. 24, 11–14 (2015).
40. Baltar, F., Arístegui, J., Gasol, J. M. & Herndl, G. J. Prokaryotic carbon
utilization in the dark ocean: growth efficiency, leucine-to-carbon conversion
factors, and their relation. Aquat. Microb. Ecol. 60, 227–232 (2010).
41. Baltar, F. et al, Significance of non-sinking particulate organic carbon and dark
CO2 fixation to heterotrophic carbon demand in the mesopelagic northeast
Atlantic. Geophys. Res. Lett. 37, L09602, https://doi.org/10.1029/
2010GL043105.
42. Reinthaler, T., van Aken, H. M. & Herndl, G. J. Major contribution of
autotrophy to microbial carbon cycling in the deep North. Atlantic’s Inter.
Deep Sea Res. Part II Top. Stud. Oceanogr. 57, 1572–1580 (2010).
43. Tolar, B. B. et al. Contribution of ammonia oxidation to chemoautotrophy in
Antarctic coastal waters. ISME J. 10, 2605–2619 (2016).
44. Priscu, J., Downes, M., Priscu, L., Palmisano, A. & Sullivan, C. Dynamics of
ammonium oxidizer activity and nitrous oxide (N20) within and beneath
Antarctic sea ice. Mar. Ecol. Prog. Ser. 62, 37–46 (1990).
45. Luria, C. M., Amaral-Zettler, L. A., Ducklow, H. W. & Rich, J. J. Seasonal
succession of free-living bacterial communities in coastal waters of the
Western Antarctic Peninsula. Front. Microbiol. 7, 1731 (2016).
46. Grzymski, J. J. et al. A metagenomic assessment of winter and summer
bacterioplankton from Antarctica Peninsula coastal surface waters. ISME J. 6,
1901–1915 (2012). 2012 610.
47. Signori, C. N., Pellizari, V. H., Enrich-Prast, A. & Sievert, S. M. Spatiotemporal
dynamics of marine bacterial and archaeal communities in surface waters off
the northern Antarctic Peninsula. Deep Sea Res. Part II Top. Stud. Oceanogr.
149, 150–160 (2018).
48. Williams, T. J. et al. A metaproteomic assessment of winter and summer
bacterioplankton from Antarctic Peninsula coastal surface waters. ISME J. 6,
1883–1900 (2012). 2012 610.
49. Swan, B. K. et al. Potential for chemolithoautotrophy among ubiquitous
bacteria lineages in the dark ocean. Sci. (80-.). 333, 1296–1300 (2011).
50. Moran, M. A. & Durham, B. P. Sulfur metabolites in the pelagic ocean. Nat.
Rev. Microbiol. 17, 665–678 (2019). 2019 1711.
51. Thomas, D. N. & Dieckmann, G. S. Antarctic sea ice-a habitat for
extremophiles. Sci. (80-.) 295, 641–644 (2002).
52. Wolff, E. W. Ice sheets and nitrogen. Philos. Trans. R. Soc. B Biol. Sci. 368,
20130127 (2013).
53. Christner, B. C. et al. A microbial ecosystem beneath the West Antarctic ice
sheet. Nature 512, 310–313 (2014) .
24. Tremblay, J. et al. Primer and platform effects on 16S rRNA tag sequencing.
54. Smith, J. A. et al, The marine geological imprint of Antarctic ice shelves. Nat.
Front. Microbiol. 6, 771 (2015).
25. Bowers, R. M. et al. Minimum information about a single amplified genome
(MISAG) and a metagenome-assembled genome (MIMAG) of bacteria and
archaea. Nat. Biotechnol. 35, 725–731 (2017). T. G. S. Consortium.
26. Kitzinger, K. et al. Single cell analyses reveal contrasting life strategies of the
two main nitrifiers in the ocean. Nat. Commun. 11, 767 (2020).
27. Pachiadaki, M. G. et al. Major role of nitrite-oxidizing bacteria in dark ocean
carbon fixation. Sci. (80-.) 358, 1046–1051 (2017).
28. Cordero, P. R. F. et al. Atmospheric carbon monoxide oxidation is a widespread
mechanism supporting microbial survival. ISME J. 13, 2868–2881 (2019).
Islam, Z. F. et al. Two Chloroflexi classes independently evolved the ability to
persist on atmospheric hydrogen and carbon monoxide. ISME J. 13,
1801–1813 (2019).
29.
30. Cantarel, B. L. et al. The Carbohydrate-Active EnZymes database (CAZy):
an expert resource for glycogenomics. Nucleic Acids Res 37, D233–D238
(2009).
31. Yilmaz, P., Yarza, P., Rapp, J. Z. & Glöckner, F. O. Expanding the world of
marine bacterial and archaeal clades. Front. Microbiol. 6, 1–29 (2016).
32. Cabello-Yeves, P. J. et al, Reconstruction of diverse verrucomicrobial genomes
from metagenome datasets of freshwater reservoirs. Front. Microbiol. 8, 2131
(2017).
33. Youssef, N. H. et al, In silico analysis of the metabolic potential and niche
specialization of candidate phylum “Latescibacteria” (WS3). PLoS One. 10,
e0127499 (2015).
34. De Maayer, P., Anderson, D., Cary, C. & Cowan, D. A. Some like it cold:
understanding the survival strategies of psychrophiles. EMBO Rep. 15,
508–517 (2014).
35. Barria, C., Malecki, M. & Arraiano, C. M. Bacterial adaptation to cold.
Microbiology 159, 2437–2443 (2013).
36. Noell, S. E. & Giovannoni, S. J. SAR11 Bacteria have a high affinity and
multifunctional glycine betaine transporter. Environ. Microbiol. 21, 2559–2575
(2019).
Commun. 10, 5635 (2019).
55. Gifford, S. M., Sharma, S., Booth, M. & Moran, M. A. Expression patterns
reveal niche diversification in a marine microbial assemblage. ISME J. 7,
281–298 (2013).
56. Polz, M. F., Hunt, D. E., Preheim, S. P. & Weinreich, D. M. Patterns and
mechanisms of genetic and phenotypic differentiation in marine microbes.
Philos. Trans. R. Soc. B Biol. Sci. 361, 2009–2021 (2006).
57. Azam, F., Smith, D. C. & Hollibaugh, J. T. The role of the microbial loop in
Antarctic pelagic ecosystems. Polar Res 10, 239–244 (1991).
Ji, M. et al. Atmospheric trace gases support primary production in Antarctic
desert surface soil. Nature 552, 400–403 (2017).
58.
59. Shah, V., Chang, B. X. & Morris, R. M. Cultivation of a chemoautotroph from
the SUP05 clade of marine bacteria that produces nitrite and consumes
ammonium. ISME J. 11, 263–271 (2017).
60. Timmermann, R. & Hellmer, H. H. Southern Ocean warming and increased
ice shelf basal melting in the twenty-first and twenty-second centuries based
on coupled ice-ocean finite-element modelling. Ocean Dyn. 63, 1011–1026
(2013).
Ingels, J. et al, Antarctic ecosystem responses following ice-shelf collapse and
iceberg calving: Science review and future research. Wiley Interdiscip. Rev.
Clim. Chang. 12, 12:e682 (2021).
61.
62. Knap, A. H., Michaels, A., Close, A. R., Ducklow, H. and Dickson, A. G. (eds)
(1996): Protocols for the Joint Global Ocean Flux Study (JGOFS) Core
Measurements. JGOFS Report Nr. 19, vi+170 pp. Reprint of the IOC Manuals
and Guides No. 29, (UNESCO, 1994).
63. Parsons, T. R., Maita, Y., Lalli, C. M., A manual of chemical and biological
methods for seawater analysis (Pergamon Press, Oxford, UK, 1984).
64. Smith, D. C. & Azam, F. A simple, economical method for measuring bacterial
protein synthesis rates in seawater using 3H-leucine 1. Mar. Microb. Food
Webs. 6, 107–114 (1992).
65. Kirchman, D. L. In Handbook of methods in aquatic microbial ecology (Lewis
Publishers Boca Raton, FL, 1993), 58, 509–512.
37. Gutt, J. et al. Biodiversity change after climate-induced ice-shelf collapse in the
Antarctic. Deep Sea Res. Part II Top. Stud. Oceanogr. 58, 74–83 (2011).
38. Nowald, N. et al, in Oceans 2009-Europe (IEEE, 2009).
39. Kirchman, D. L., Morán, X. A. G. & Ducklow, H. Microbial growth in the
polar oceans - role of temperature and potential impact of climate change.
Nat. Rev. Microbiol. 7, 451–459 (2009).
66. Simon, M. & Azam, F. Protein content and protein synthesis rates of
planktonic marine bacteria. Mar. Ecol. Prog. Ser. 51, 201–213 (1989).
67. Lønborg, C. et al. Depth Dependent Relationships between Temperature and
Ocean Heterotrophic Prokaryotic Production. Front. Mar. Sci. 3, 90 (2016).
68. Bankevich, A. et al. SPAdes: a new genome assembly algorithm and its
applications to single-cell sequencing. J. Comput. Biol. 19, 455–477 (2012).
NATURE COMMUNICATIONS |
(2022) 13:117 | https://doi.org/10.1038/s41467-021-27769-5 | www.nature.com/naturecommunications
13
ARTICLE
NATURE COMMUNICATIONS | https://doi.org/10.1038/s41467-021-27769-5
69. Stepanauskas, R. et al.Improved genome recovery and integrated cell-size
analyses of individual uncultured microbial cells and viral particles. Nat.
Commun.8, 84 (2017).
101. Strous, M., Kraft, B., Bisdorf, R. & Tegetmeyer, H. E. The binning of
metagenomic contigs for microbial physiology of mixed cultures. Front.
Microbiol. 3, 410 (2012).
70. Parks, D. H., Imelfort, M., Skennerton, C. T., Hugenholtz, P. & Tyson, G. W.
CheckM: assessing the quality of microbial genomes recovered from isolates,
single cells, and metagenomes. Genome Res. 25, 1043–1055 (2015).
71. Woyke, T. et al. Assembling the marine metagenome, one cell at a time. PLoS
102. Wu, Y.-W., Simmons, B. A. & Singer, S. W. MaxBin 2.0: an automated
binning algorithm to recover genomes from multiple metagenomic datasets.
Bioinformatics 32, 605–607 (2016).
103. Kang, D. D., Froula, J., Egan, R. & Wang, Z. MetaBAT, an efficient tool for
One 4, e5299 (2009).
72. Seemann, T. Prokka: rapid prokaryotic genome annotation. Bioinformatics 30,
2068–2069 (2014).
73. Poux, S. et al. On expert curation and scalability: UniProtKB/Swiss-Prot as a
case study. Bioinformatics 33, 3454–3460 (2017).
74. Thompson, L. R. et al. A communal catalogue reveals Earth’s multiscale
microbial diversity. Nat 551, 457–463 (2017). 2017 5517681.
75. Caporaso, J. G. et al. Ultra-high-throughput microbial community analysis on
the Illumina HiSeq and MiSeq platforms. ISME J. 6, 1621–1624 (2012).
76. Parada, A. E., Needham, D. M. & Fuhrman, J. A. Every base matters: assessing
small subunit rRNA primers for marine microbiomes with mock
communities, time series and global field samples. Environ. Microbiol. 18,
1403–1414 (2016).
77. Apprill, A., McNally, S., Parsons, R. & Weber, L. Minor revision to V4 region
SSU rRNA 806R gene primer greatly increases detection of SAR11
bacterioplankton. Aquat. Microb. Ecol. 75, 129–137 (2015).
78. Callahan, B. J. et al. DADA2: High-resolution sample inference from Illumina
amplicon data. Nat. Methods 13, 581–583 (2016).
79. Bolyen, E. et al. Reproducible, interactive, scalable and extensible microbiome
data science using QIIME 2. Nat. Biotechnol. 37, 852–857 (2019).
80. Ewels, P., Magnusson, M., Lundin, S. & Käller, M. MultiQC: summarize
analysis results for multiple tools and samples in a single report.
Bioinformatics 32, 3047–3048 (2016).
81. Kopylova, E., Noé, L. & Touzet, H. SortMeRNA: fast and accurate filtering of
ribosomal RNAs in metatranscriptomic data. Bioinformatics 28, 3211–3217
(2012).
82. Quast, C. et al. The SILVA ribosomal RNA gene database project: improved
data processing and web-based tools. Nucleic Acids Res 41, D590–D596
(2012).
83. Gruber-Vodicka, H. R., Seah, B. K. B. & Pruesse, E. phyloFlash: Rapid small-
subunit rRNA profiling and targeted assembly from metagenomes. Msystems
5, e00920–e00920 (2020).
84. Roux, S., Enault, F., Hurwitz, B. L. & Sullivan, M. B. VirSorter: mining viral
signal from microbial genomic data. PeerJ 3, e985 (2015).
85. Martinez-Hernandez, F. et al. Single-virus genomics reveals hidden
cosmopolitan and abundant viruses. Nat. Commun. 8, 15892 (2017).
86. Hyatt, D. et al. Prodigal: prokaryotic gene recognition and translation
initiation site identification. BMC Bioinforma. 11, 119 (2010).
87. Camacho, C. et al. BLAST+: architecture and applications. BMC Bioinforma.
10, 421 (2009).
88. Eren, A. M. et al. Anvi’o: an advanced analysis and visualization platform for
‘omics data. PeerJ 3, e1319 (2015).
89. Langmead, B. & Salzberg, S. L. Fast gapped-read alignment with Bowtie 2. Nat.
Methods 9, 357–359 (2012).
90. McMurdie, P. J. & Holmes, S. phyloseq: an R package for reproducible
interactive analysis and graphics of microbiome census data. PLoS One 8,
e61217 (2013).
91. Oksanen, J. et al, vegan: Community Ecology Package. 2019. R package
version 2.5-6 (2019).
92. Dufrêne, M. & Legendre, P. Species assemblages and indicator species: the
need for a flexible asymmetrycal approach. Ecol. Monogr. 67, 345–366 (1997).
93. De Cáceres, M., Legendre, P., Wiser, S. K. & Brotons, L. Using species
combinations in indicator value analyses. Methods Ecol. Evol. 3, 973–982
(2012).
94. De Cáceres, M., Legendre, P. & Moretti, M. Improving indicator species
analysis by combining groups of sites. Oikos 119, 1674–1684 (2010).
95. Warton, D. I., Wright, S. T. & Wang, Y. Distance-based multivariate analyses
confound location and dispersion effects. Methods Ecol. Evol. 3, 89–101
(2012).
96. Wang, Y., Naumann, U., Wright, S. T. & Warton, D. I. mvabund– an R
package for model-based analysis of multivariate abundance data. Methods
Ecol. Evol. 3, 471–474 (2012).
97. Clarke, K. R. Non‐parametric multivariate analyses of changes in community
structure. Aust. J. Ecol. 18, 117–143 (1993).
98. Bushnell, B., Rood, J. & Singer, E. BBMerge–accurate paired shotgun read
accurately reconstructing single genomes from complex microbial
communities. PeerJ 3, e1165 (2015).
104. Sieber, C. M. K. et al. Recovery of genomes from metagenomes via a
dereplication, aggregation and scoring strategy. Nat. Microbiol. 3, 836–843
(2018).
105. Albertsen, M. et al. Genome sequences of rare, uncultured bacteria obtained
by differential coverage binning of multiple metagenomes. Nat. Biotechnol. 31,
533–538 (2013).
106. Olm, M. R., Brown, C. T., Brooks, B. & Banfield, J. F. dRep: a tool for fast and
accurate genomic comparisons that enables improved genome recovery from
metagenomes through de-replication. ISME J. 11, 2864–2868 (2017).
107. Parks, D. H. et al. A standardized bacterial taxonomy based on genome
phylogeny substantially revises the tree of life. Nat. Biotechnol. 36, 996 (2018).
108. Katoh, K. & Standley, D. M. MAFFT multiple sequence alignment software
version 7: improvements in performance and usability. Mol. Biol. Evol. 30,
772–780 (2013).
109. Price, M. N., Dehal, P. S. & Arkin, A. P. FastTree 2–approximately maximum-
likelihood trees for large alignments. PLoS One 5, e9490 (2010).
110. Anantharaman, K. et al. Thousands of microbial genomes shed light on
interconnected biogeochemical processes in an aquifer system. Nat. Commun.
7, 13219 (2016).
111. Aziz, R. K. et al. The RAST Server: Rapid Annotations using Subsystems
Technology. BMC Genomics 9, 75 (2008).
112. El-Gebali, S. et al. The Pfam protein families database in 2019. Nucleic Acids
Res 47, D427–D432 (2019).
113. Haft, D. H., Selengut, J. D. & White, O. The TIGRFAMs database of protein
families. Nucleic Acids Res 31, 371–373 (2003).
114. Jones, P. et al. InterProScan 5: genome-scale protein function classification.
Bioinformatics 30, 1236–1240 (2014).
115. Kumar, S., Stecher, G. & Tamura, K. MEGA7: molecular evolutionary genetics
analysis version 7.0 for bigger datasets. Mol. Biol. Evol. 33, 1870–1874 (2016).
116. Zhang, H. et al. dbCAN2: a meta server for automated carbohydrate-active
enzyme annotation. Nucleic Acids Res 46, 95–101 (2018).
117. Liao, Y., Smyth, G. K. & Shi, W. featureCounts: an efficient general purpose
program for assigning sequence reads to genomic features. Bioinformatics 30,
923–930 (2013).
118. Ortiz, M. et al, bioRxiv, in press.
119. Scambos, T. A., Haran, T. M., Fahnestock, M. A., Painter, T. H. & Bohlander,
J. MODIS-based Mosaic of Antarctica (MOA) data sets: Continent-wide
surface morphology and snow grain size. Remote Sens. Environ. 111, 242–257
(2007).
Acknowledgements
We are grateful to D. V. Meier and P. M. Leung for insightful discussions. We thank the
Victoria University of Wellington Hot Water Drilling Team led by A. Pyne and D.
Mendeno for fieldwork support. Staff of the Bigelow Laboratory Single Cell Genomics
Center are acknowledged for generating SAG data. We also thank L. Montiel and V.
Balagué from the Institut de Ciències del Mar (ICM, CSIC) for extracting RNA, and the
CNAG staff for RNAseq library preparation and sequencing. Bioinformatics analyses
were performed at the LiSC Cluster (University of Vienna), MARBITS platform (ICM,
CSIC) and the MonARCH HPC Cluster (Monash University). This research was
facilitated by the New Zealand Antarctic Research Institute (NZARI) funded Aotearoa
New Zealand Ross Ice Shelf Programme, the New Zealand Antarctic Science Platform
ANTA1801, the Austrian science fond (FWF) project AP3430411/21 (FB) and a
Rutherford Discovery Fellowship from the Royal Society of New Zealand (FB), the US
National Science Foundation grants DEB-1441717 (RS) and OCE 1335810 (RS), the
Simons Foundation Grant 827839 (RS), the Austrian Science Fund project P28781-B21
(GJH), the Spanish Ministry of Science and Innovation (Spanish State Research Agency,
https://doi.org/10.13039/501100011033) fellowship RYC-2013-12554 (RL) and projects
CTM2015-69936-P (RL) and PID2019-110011RB-C32 (JMG), the NHMRC EL2 Fel-
lowship APP1178715 (CG) and Discovery Project grant DP180101762 (CG), the ARC
SRIEAS Grant SR200100005 Securing Antarctica’s Environmental Future (SKB), and the
H2020 MSCA Individual Fellowship 886198 (CMP).
merging via overlap. PLoS One 12, e0185056 (2017).
99. Li, D. et al. MEGAHIT v1.0: A fast and scalable metagenome assembler driven
by advanced methodologies and community practices. Methods 102, 3–11
(2016).
100. Li, H. et al. The Sequence Alignment/Map format and SAMtools.
Bioinformatics 25, 2078–2079 (2009).
Author contributions
F.B., C.H., S.E.M., and C.O. designed field experiments. F.B., S.E.M., C.H., C.O., C.S., and
B.T. performed field sampling and measurements. S.E.M. and R.L. performed nucleic
acid extraction and library preparation for metagenomics and metatranscriptomics,
respectively. R.S. provided single-cell amplified genome sequencing. C.M.P., Z.Z., R.J.L.,
14
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S.K.B,. D.D.C., B.T., J.M.G., F.B., and C.G. analyzed the data. C.M.P., C.G., and F.B. wrote
the manuscript with assistance from all coauthors.
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in
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Competing interests
The authors declare no competing interests.
Additional information
Supplementary information The online version contains supplementary material
available at https://doi.org/10.1038/s41467-021-27769-5.
Correspondence and requests for materials should be addressed to Sergio E. Morales or
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10.1371_journal.pone.0240176.pdf
|
Data Availability Statement: All relevant data are
within the manuscript and its Supporting
Information files.
|
All relevant data are within the manuscript and its Supporting Information files.
|
RESEARCH ARTICLE
Behavioral and corticosterone responses to
carbon dioxide exposure in reptiles
Daniel J. D. NatuschID
Ain Isa5, Che Ku Zamzuri5, Andre GanswindtID
6,7, Dale F. DeNardo8
1,2☯*, Patrick W. Aust3,4☯, Syarifah Khadiejah5, Hartini Ithnin5,
a1111111111
a1111111111
a1111111111
a1111111111
a1111111111
OPEN ACCESS
Citation: Natusch DJD, Aust PW, Khadiejah S,
Ithnin H, Isa A, Zamzuri CK, et al. (2020) Behavioral
and corticosterone responses to carbon dioxide
exposure in reptiles. PLoS ONE 15(10): e0240176.
https://doi.org/10.1371/journal.pone.0240176
Editor: Todd Adam Castoe, University of Texas at
Arlington, UNITED STATES
Received: July 2, 2020
Accepted: September 21, 2020
Published: October 6, 2020
Copyright: © 2020 Natusch et al. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
Data Availability Statement: All relevant data are
within the manuscript and its Supporting
Information files.
Funding: Daniel Natusch recieved funding from the
Southeast Asian Reptile Conservation Alliance and
the Swiss Federal Veterinary Office. The funders
had no role in study design, data collection and
analysis, decision to publish, or preparation of the
manuscript.
Competing interests: The authors have declared
that no competing interests exist.
1 Department of Biological Sciences, Macquarie University, North Ryde, NSW, Australia, 2 EPIC
Biodiversity, Frogs Hollow, NSW, Australia, 3 Department of Zoology, University of Oxford, Oxford, United
Kingdom, 4 Bushtick Environmental Services, Grantham, Lincolnshire, United Kingdom, 5 Department of
Wildlife and National Parks, Peninsular Malaysia, Kuala Lumpur, Malaysia, 6 Endocrine Research
Laboratory, Mammal Research Institute, Department of Zoology and Entomology, Faculty of Natural and
Agricultural Sciences, University of Pretoria, Pretoria, South Africa, 7 Centre of Veterinary Wildlife Studies,
Faculty of Veterinary Science, University of Pretoria, Pretoria, Onderstepoort, South Africa, 8 School of Life
Sciences, Arizona State University, Tempe, Arizona, United States of America
☯ These authors contributed equally to this work.
* d.natusch@epicbiodiversity.com
Abstract
The use of carbon dioxide (CO2) exposure as a means of animal euthanasia has received
considerable attention in mammals and birds but remains virtually untested in reptiles. We
measured the behavioral responses of four squamate reptile species (Homalopsis buccata,
Malayopython reticulatus, Python bivitattus, and Varanus salvator) to exposure to 99.5%
CO2 for durations of 15, 30, or 90 minutes. We also examined alterations in plasma cortico-
sterone levels of M. reticulatus and V. salvator before and after 15 minutes of CO2 exposure
relative to control individuals. The four reptile taxa showed consistent behavioral responses
to CO2 exposure characterized by gaping and minor movements. The time taken to lose
responsiveness to stimuli and cessation of movements varied between 240–4260 seconds
(4–71 minutes), with considerable intra- and inter-specific variation. Duration of CO2 expo-
sure influenced the likelihood of recovery, which also varied among species (e.g., from
0–100% recovery after 30-min exposure). Plasma corticosterone concentrations increased
after CO2 exposure in both V. salvator (18%) and M. reticulatus (14%), but only significantly
in the former species. Based on our results, CO2 appears to be a mild stressor for reptiles,
but the relatively minor responses to CO2 suggest it may not cause considerable distress or
pain. However, our results are preliminary, and further testing is required to understand opti-
mal CO2 delivery mechanisms and interspecific responses to CO2 exposure before endors-
ing this method for reptile euthanasia.
Introduction
Ensuring the humane euthanasia of animals used by humans is critically important to fulfil
our ethical obligation for compassion towards other species. In addition, a painless and dis-
tress-free death can, in some contexts, result in a higher quality meat product for human
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PLOS ONECO2 exposure in reptiles
consumption [1]. In pursuit of these goals, methodologies, guidelines, and regulations for
humane euthanasia have been developed and implemented for animal use ranging from meat
production to scientific research [2].
However, a severe taxonomic bias currently exists. Although humane treatment protocols
are well established for mammals and birds, the welfare needs of reptiles and the methodolo-
gies considered humane and acceptable for euthanasia, especially in instances where human
consumption of part of the carcass occurs, remain in their infancy [2]. For example, debate
continues about the appropriateness of hypothermia (freezing) as an euthanasia method [3–5],
and humane killing methods for reptiles used in the meat and skin industries were only
adopted by the World Organization for Animal Health (OIE) in 2019 [see 6, 7].
Chemical agents offer an effective and humane way to euthanize reptiles, but their useful-
ness is sometimes limited. Access and use restrictions, and situations where large numbers of
animals are slaughtered for human consumption in short periods, often prohibit their use.
With the possible exception of hypothermia, all recommended non-chemical methods of rep-
tile euthanasia involve destruction of the brain (e.g., captive bolt, pithing). However, the effec-
tiveness of brain destruction is vulnerable to operator error and may be impractical in
situations where large numbers of animals need to be killed at one time.
Carbon dioxide (CO2) is widely used as a euthanizing agent in the livestock industry and
for scientific research [2, 8–10]. The guidelines of the American Veterinary Medical Associa-
tion cite 86 studies on the effectiveness and suitability of CO2 as a humane means of euthanasia
for mammals and birds [2]. Mammalian and avian responses to CO2 exposure vary consider-
ably by species, and are dependent on CO2 concentration and delivery method [2, 8–10].
Mice, rats, cats, dogs, pigs, rabbits, chickens, and turkeys lose consciousness after 20–120 sec-
onds of CO2 exposure, but may require exposures of 5–50 minutes to ensure death [2, 9, 10].
Exposure to CO2 has been shown to increase plasma corticosterone levels in rats and dogs and
results in mouth gaping in mice, rats, and chickens [2, 9]. Rats and mink will actively avoid
CO2 exposure if given the opportunity, but goats and chickens will not (despite the latter gap-
ing when exposed; [2, 8]).
The use of CO2 to euthanize reptiles has generally been discouraged by veterinary guidance,
animals ethics committees, and by the OIE based on physiological considerations [2, 6, 11, 12].
The rationale implies that because reptiles have a variable metabolic rate and can potentially
tolerate long periods without breathing or oxygen, they are vulnerable to the distressful effects
of suffocation. However, to the best of our knowledge the argumentation against using CO2 to
euthanize reptiles lacks empirical data and rests instead upon untested hypotheses and theoret-
ical inference.
Here, we examine the efficacy of CO2 to humanely euthanize squamate reptiles (lizards and
snakes). Specifically, we tested the potential value of CO2 in (1) creating a low-stress, tempo-
rary unconscious state to make physical methods of euthanasia safer and more efficient and
(2) killing squamates outright. We used both behavioral responses and blood corticosterone
concentrations (the primary glucocorticoid associated with stress in reptiles) to determine
whether CO2 exposure provides a humane transition to unconsciousness and examined how
duration of CO2 exposure influences the post-exposure duration of unconsciousness and like-
lihood of death.
Materials and methods
Study species and locations
Behavioral responses to CO2 exposure were examined in four species of reptile: reticulated
pythons (Malayopython reticulatus); Burmese pythons (Python bivittatus); masked water
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2 / 14
PLOS ONECO2 exposure in reptiles
snakes (Homalopsis buccata); and Asian water monitors (Varanus salvator). These species are
semi-aquatic to varying degrees and wide-ranging in Southeast Asia. The two python species
grow to be large (> 5 m), while masked water snakes are relatively small (< 1.2 m). Asian
water monitors are the world’s second largest lizard, growing to 3 metres in length and weigh-
ing as much as 25 kg. In many instances, these species are commensal with humans and are
regularly harvested and traded for their meat, skin, and medicinal value.
In May 2019, we examined responses to CO2 in these reptiles in Malaysia (2˚14’N, 103˚
03’E) and Thailand (17˚38’N, 100˚07’E) at two commercial facilities producing meat for
human consumption and skins for the exotic leather trade. In Malaysia, free-roaming M. reti-
culatus and V. salvator are legally collected from the wild by licensed hunters and brought to
abattoirs for processing [13, 14]. Animals are kept alive at the facility for up to a week before
being killed using a strong blow to the head followed by decapitation. No individual-based his-
tory was available for the animals used in our study, and animals were held according to stan-
dard commercial protocols (i.e., maintained individually in mesh bags with water provided
intermittently). In Thailand, we examined specimens of M. reticulatus, P. bivittatus, and H.
buccata. The two python species were captive-bred for commercial purposes following proto-
cols described in Natusch and Lyons [15]. The H. buccata were wild-caught and temporarily
held in large outdoor ponds with food provided. This research was undertaken with approval
from the Animal Institutional Care and Use Committee of Arizona State University (protocol
# 10-1689R).
Experimental design—behavioral monitoring
To assess behavioral responses of reptiles to CO2 exposure, we placed study animals individu-
ally into 100 micron 375 mm x 500 mm clear plastic bags. Very large animals were double-
bagged as a precaution. CO2 was supplied via 47 litre steel cylinders containing 99.5% CO2
and fitted with single-stage CO2 regulators. A 5 mm inside diameter CO2 supply hose was
placed in the bag through the opening at the top, and the bag was sealed with an elastic band
to limit but not eliminate the escape of gas. Bags were gently compressed around the body of
the animal prior to CO2 admission to minimize residual air pockets. This design enabled CO2
to rapidly displace the limited amount of air present in the bag and thus minimized gas equili-
bration time [16]. By using plastic bags instead of a rigid container, we were able to closely
evaluate the animal during its exposure to CO2 (e.g., examine the animal’s righting response
and its response to touch stimulation). CO2 flow was set to rapidly replace any existing air and
then reduced to maintain positive CO2 pressure in the bag. For the longer exposure times,
once the animal was unconscious, the flow of CO2 was stopped and the bagged was completely
sealed. The process was similar for water monitors except that the bag was secured over their
head rather than placing the entire body inside the bag (to minimize damage to the plastic bag
by the lizard’s claws). We prevented monitors from perforating the bag during movements by
gently placing a hand around the animal’s neck and preventing the forelimbs from contacting
the bag. For some individuals this was not necessary and did not prevent observation of gen-
eral body movements in response to CO2 exposure. For all individuals, the response of the ani-
mal to CO2 exposure was recorded via direct visual examination until the animal was removed
from the bag after the duration of CO2 exposure dictated by its assigned treatment group.
For each animal, we recorded signs of consciousness and all behavioral responses to CO2,
including movement, tongue flicking, and gaping. The animal’s behavior and body move-
ments at the time of removal were recorded, as were changes in behavior over time and the
eventual outcome (i.e., recovery or confirmed death). It was difficult to determine conscious-
ness in many specimens. Although several individuals continued to respond to deep-touch
PLOS ONE | https://doi.org/10.1371/journal.pone.0240176 October 6, 2020
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PLOS ONECO2 exposure in reptiles
stimuli (e.g., a deep pinch of the tail), a lack of righting reflex (failure to turnover when placed
upside down), corneal reflex in lizards, and cessation of breathing, strongly indicated that indi-
viduals were unconscious despite exhibiting a muscular response to deep stimuli. Animals that
reached a state indicative of imminent recovery of consciousness (i.e., voluntary movement
often associated with tongue flicking) were euthanized using standard commercial practices
(i.e., forceful blunt trauma to the dorsal surface of the head at the location of the brain case).
Animals were deemed dead if no heartbeat and/or movements were detected (visually or via
palpation) or by a lack of response to all stimuli (most notably a deep tail pinch) for up to one
hour after removal from CO2 exposure.
To test the effect of CO2 exposure duration on reptile responses, we first conducted a pre-
liminary assessment using different exposure durations on five M. reticulatus (30 min, 60 min,
90 min, 120 min, or 180 min; n = 1 per duration). Based on related observations, we selected
three CO2 exposure durations (15 min, 30 min, and 90 min) for the primary study. We used
the results from the reticulated pythons to select exposure durations for the other species. As
our results from M. reticulatus showed that 15 min was an insufficient duration, we began
studies of other species with the 30 min exposure duration to minimise the number of animals
used and to streamline efforts. If all specimens of the species failed to recover at this exposure
duration, we assumed longer durations would achieve the same result, so did not conduct lon-
ger duration trials. This was not true for H. buccata for which we did not complete the 90 min
exposure treatment due to specimen availability and logistic constraints. We measured snout-
vent length (SVL; using a steel tape measure) and body mass (using a digital scale) of each
specimen while unconscious or dead, and then determined sex via direct inspection of the
gonads upon dissection. Sample sizes for each species and their CO2 exposure times are pre-
sented in Table 1. Air temperature was recorded to confirm constant temperatures throughout
the course of study.
Experimental design–sample collection for hormone monitoring
We measured the effect of the CO2 euthanasia process on circulating corticosterone by collect-
ing blood from seven M. reticulatus and seven V. salvator before and after CO2 exposure. Spec-
imens were brought to the National Wildlife Forensic Laboratory, Department of Wildlife and
National Parks Peninsular Malaysia. Sexes and body sizes are reported in Table 2. Each animal
was kept individually within a mesh bag and secured within a plastic crate at ambient tempera-
ture for two days before trials began. We collected 2 ml of blood from each individual within
Table 1. Means, standard errors and ranges for snout-vent length (SVL) and body mass for reptile specimens used to examine behavioral responses to CO2
exposure.
Species
Thailand
Malayopython reticulatus
Python bivittatus
Homalopsis buccata
Malaysia
Malayopython reticulatus
Varanus salvator
Sex
M
F
M
M
M
F
M
F
N
1
3
18
11
12
14
5
5
https://doi.org/10.1371/journal.pone.0240176.t001
SVL (cm)
Mass (g)
N per exposure duration
Mean
Range
Mean
Range
15 min
30 min
90 min
273
265.3 ± 8.9
241.5 ± 2.7
104 ± 2.2
272.8 ± 8.6
297.4 ±8.3
63 ± 3.3
59 ± 3.8
-
255–283
220–263
93–116
238–331
255–374
50–68
52–71
8200
7200 ± 1790
6941 ± 545
686 ± 36
7335 ± 728
7878 ± 608
4990 ± 708
4000 ± 714
-
4200–10400
3900–11800
530–850
4550–13450
4050–12850
2250–6350
2550–6000
0
0
0
0
3
5
0
0
1
3
9
8
4
6
5
5
0
0
9
0
4
4
0
0
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4 / 14
PLOS ONECO2 exposure in reptiles
Table 2. Means, standard errors and ranges for snout-vent length (SVL) and body mass for reptile specimens used to examine plasma corticosterone responses to
CO2 exposure.
Species
Treatment
Sex
Malayopython reticulatus
CO2
Varanus salvator
Control
CO2
Control
https://doi.org/10.1371/journal.pone.0240176.t002
M
F
M
F
M
F
M
F
N
3
4
2
2
2
5
2
1
SVL (cm)
Mass (g)
Mean
246 ± 5.6
253.5 ± 4.6
295 ± 55
375 ± 25
53.7 ± 1.8
56.2 ± 2.9
79 ± 10
69
Range
235–255
240–260
240–350
350–400
51–57
47–63
69–89
-
Mean
4720 ± 204
5280 ± 225
8500 ± 3500
35000 ± 0
2830 ± 233
2900 ± 370
7850 ± 2350
6500
Range
4400–5100
4720–5800
5000–12000
35000
2600–3300
1500–3750
5500–10200
-
90 seconds of removal from the mesh bag using a 22 gauge needle and 5 ml syringe inserted
into the caudal vein at the base of the tail. The blood sample was then placed in a tube contain-
ing lithium heparin (Vacuette #454084, Greiner Bio-One, Kremsmu¨nster, Austria). After
blood collection, the same specimens were immediately exposed to CO2. A second blood sam-
ple was collected from the same specimen after 15 minutes of CO2 exposure when the animal
was unconscious. We did this by amputating the lower third of the tail and collecting the
blood directly into a heparinized tube. The animal was then immediately euthanized following
standard methods as described above. Blood samples were placed on ice until centrifugation to
separate the plasma. We stored the isolated plasma samples at -20˚C until they were assayed.
As confinement in the mesh bag may in itself result in elevated levels of corticosterone, we col-
lected blood samples from several ‘control’ animals for comparison. The control water moni-
tors (n = 3) were freshly killed wild animals harvested during a government sanctioned control
program in Ladang Eng Tai, Malaysia (4˚57’N 100˚27’E). Animals were harvested using a
12-gauge shotgun at close range, with head shots resulting in near-instantaneous death. We
collected blood from the severed tail of each animal within 90 seconds using the same method
described above. Control reticulated python (n = 4) samples were obtained from captive-bred
animals at a commercial reptile breeding facility outside Kuala Lumpur, Malaysia (2˚56’N
101˚53’E). The farm breeds high-value pythons for the pet trade, and general husbandry and
welfare standards are high. Animals were selected based on size and relative docility (i.e., ease
of handling), and blood samples were collected from the caudal vein within 90 seconds of
removal from their enclosures using the same method described above. We recorded tempera-
tures (27–30˚C) and kept all animals at approximately the same temperature both before and
after exposure to CO2. This was not possible for control specimens sampled in the wild, but
plasma corticosterone levels are not highly sensitive to body temperature in reptiles [17]. We
obtained all blood samples over several hours on the same day to avoid diel and seasonal varia-
tion in plasma hormone levels.
Hormone analysis
Immunoreactive plasma corticosterone concentrations were determined via an enzyme-linked
immunosorbent assay (ELISA; ADI-900-097, Enzo Life Sciences, Farmingdale, NY) following
the manufacturer’s instructions. This kit has been used in previous studies assessing plasma
corticosterone concentrations in a variety of animal species, including alligators [18], birds
[19], lizards [20] and turtles [21], but had not been previously documented for pythons or
monitor lizards. Based on results from other species, we used a dilution ratio of 40:1. All sam-
ples were run in duplicate format on a single assay plate. Results confirmed an average
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5 / 14
PLOS ONECO2 exposure in reptiles
difference between duplicates of less than 1.8% (mean: 1.73 ± 1.18%), and duplicate means
were thus used in the analysis.
Data analysis
Our behavioral analysis measured the binary dependent variable of whether reptiles recovered
after CO2 exposure or not. This metric was evaluated after different CO2 exposure durations
for each species. For our corticosterone study we used a paired sample t-test to test for signifi-
cant differences in plasma corticosterone concentrations before and after CO2 exposure. We
used a one-way analysis of variance to test for differences in corticosterone level between the
control animals and the pre-CO2 exposure samples from the study animals. Data were ln-
transformed where needed to meet the normality and homogeneity of variance assumptions
required for our parametric tests. All analyses were conducted in JMP Pro 14 (SAS Institute,
Cary, NC).
Results
Behavioral observations
Reticulated pythons (Malayopython reticulatus). After exposure to CO2, reticulated
pythons remained still for 60–300 secs (1–5 mins) before tongue flicking and gaping (Fig 1).
These responses eventually proceeded to slow and controlled whole-body movements; at this
time snakes were responsive to touch through the bag. It was difficult to determine the point at
which snakes lost full consciousness. However, we suspect that snakes lost consciousness, but
continued to undergo unconscious movements including a response to touch stimuli. Between
240–1380 secs (4–23 mins) after CO2 exposure the snakes ceased all movements and lost
responsiveness to stimuli (Fig 1). After the cessation of movement, but sometimes before, 18
of the 30 snakes exhibited mild muscle twitching of parts of their body. This twitching was
unique to the reticulated pythons.
All Malaysian reticulated pythons that were exposed to CO2 for 15 and 30 min eventually
recovered (Fig 2). At the time of removal from the bag, none of these snakes had voluntary
movements, but 7 of 8 snakes in the 15-min exposure group and 1 of 10 snakes in the 30-min
group responded to a deep tail pinch with local movement. First voluntary movements
occurred 4.9 ± 0.9 (mean ± SE) and 23.8 ± 4.7 min after removal from CO2 for the 15 min and
30-min exposure groups, respectively. In contrast, all reticulated pythons exposed to 90-min of
CO2 did not recover, never having any reflex or voluntary movements (Fig 2). Reticulated
pythons tested in Thailand that were exposed to CO2 for 30 min responded similarly to those
in Malaysia, but one of the four snakes did not recover and, for those that did, recovery took
13.7 ± 3.7 min (42% faster than the 30-min exposure snakes in Malaysia).
Burmese pythons (Python bivittatus). Burmese pythons showed similar behavioral
responses to reticulated pythons, but took slighter longer to gape and lose responsiveness to
stimuli (Fig 1). Burmese pythons also did not undergo muscle twitching and late-stage non-
responsive (likely unconscious) movements were greater. All 8 snakes in the 30-min group
responded to a deep tail pinch upon removal from the CO2, while none of the 90-min snakes
responded. Two of the 8 snakes exposed to CO2 for 30 min and all of the snakes exposed to
CO2 for 90 min did not recover (Fig 2). For the six 30-min snakes that did recover, it took
17.4 ± 2.5 min until they showed their first voluntary movements.
Masked water snakes (Homalopsis buccata). The water snakes exposed to CO2 for 30
min showed behavioral responses that were very similar to those of the Burmese pythons, with
no twitching but a considerable amount of unconscious movements. Mean time of first gape
was about 120 secs (range: 60–420 secs, 1–7 min) and complete loss of consciousness was 300–
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6 / 14
PLOS ONECO2 exposure in reptiles
Fig 1. Variation in timing (in minutes) of key behavioural changes in (a) Malayopython reticulatus, (b) Python bivittatus, (c) Homalopsis buccata, and (d) Varanus
salvator subject to carbon dioxide (CO2) exposure. Gaping: the time at which the mouth of the specimen opened. Unresponsive: the time the specimen had ceased
movement and became unresponsive to stimuli. Thicker parts of the violin plots represent CO2 exposure times where the behaviour was most often observed. Note the
different time scales represented on the x-axes of each panel.
https://doi.org/10.1371/journal.pone.0240176.g001
840 secs (5–14 mins) after the onset of exposure (Fig 1). While all eight water snakes had a tail
pinch reflex upon removal from the CO2, only two of the eight snakes recovered after 10 and
20 min, respectively.
Water monitors (Varanus salvator). The water monitors showed the least behavioral
response to exposure to CO2. The lizards exhibited no tongue flicking and no muscle twitching
during the 30 min exposure. All monitors gaped within 240 secs (4 mins) of the onset of CO2
exposure (Fig 1) Both conscious and unconscious movements were limited in number and
intensity with the last detected movements occurring 930 ± 66 secs (range: 720–1560 seconds)
after the onset of exposure (Fig 1). All monitors lacked a tail pinch reflex when removed from
the CO2, and they all failed to recover (Fig 2).
Plasma corticosterone concentrations
Corticosterone concentrations for the animals that did not go through the capture and con-
finement associated with the trade prior to killing (i.e., ‘controls’) were significantly lower than
those of the CO2-euthanized animals prior to CO2 exposure (pythons: 7.2 ± 1.3 ng/ml; F1,10 =
9.01, P = 0.015; monitors: 3.1 ± 0.7 ng/ml; F1,10 = 24.4, P < 0.001; Fig 3). Reticulated python
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PLOS ONECO2 exposure in reptiles
Fig 2. Percentage of Malayopython reticulatus, Python bivittatus, Homalopsis buccata, and Varanus salvator that recovered from different durations of CO2
exposure. X denotes treatments where no individuals recovered from CO2 exposure. Sample sizes appear above each column.
https://doi.org/10.1371/journal.pone.0240176.g002
plasma corticosterone concentrations increased by 14% after CO2 exposure, (t0 = 11.8 ± 0.9
ng/ml vs t15 = 13.2 ± 0.4 ng/ml). However, this increasing trend was not statistically significant
(matched pairs t-test: t6 = 2.23, P = 0.065; Fig 3). In contrast, CO2 exposure significantly
increased plasma corticosterone concentrations in water monitors (by 18%; t0 = 9.6 ± 0.9 ng/
ml; t15 = 11.7 ± 0.8 ng/ml; t6 = 5.03, P = 0.02; Fig 3). Individual immunoreactive plasma corti-
costerone concentrations before and after CO2 exposure were significantly correlated
(pythons: n = 7; r2 = 0.61; P = 0.037; lizards: n = 8; r2 = 0.77; P = 0.009).
Discussion
Although available euthanasia methods for commercial reptile processing (e.g., brain destruc-
tion) are humane, they can be vulnerable to operator error, are aesthetically displeasing, and
are inefficient for rapidly processing numerous individuals. Our study provides initial results
supporting the potential for carbon dioxide asphyxiation as an effective option for euthanizing
PLOS ONE | https://doi.org/10.1371/journal.pone.0240176 October 6, 2020
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PLOS ONECO2 exposure in reptiles
Fig 3. Mean plasma corticosterone concentrations (ng/ml) before and after 15 minutes of CO2 exposure and in control specimens (free-ranging or
farmed; see text) of (a) Malayopython reticulatus and (b) Varanus salvator. Differences between corticosterone concentrations before and after CO2
exposure were not statistically significant for M. reticulatus, but were for V. salvator. Corticosterone concentrations between control specimens not
subject to capture and handling are significantly lower than those captured from the wild for trade (although sample sizes were low; see text for details).
Sample sizes for each group are reported directly above the x-axis.
https://doi.org/10.1371/journal.pone.0240176.g003
reptiles in a variety of settings. Exposure to CO2 was effective for creating a temporary uncon-
scious state at all exposure durations that was sufficient to safely and humanely employ a phys-
ical method of euthanasia. Longer but still logistically practical exposures to CO2 were able to
kill reptiles.
The different taxa in our study varied subtly in their responses to CO2 exposure, both while
conscious and after losing consciousness. For example, despite the similar body size of the two
python species, the CO2 exposure duration required to induce unconsciousness in P. bivittatus
was greater than M. reticulatus (Fig 1). The only lizard species in our study was rapidly ren-
dered unconscious and did not recover from CO2 exposure durations that were unable to kill
most of the snakes (Fig 2). Taxonomic differences and variation in metabolic rates may both
be responsible for this difference [22–24]. The species we studied also differed in the effects
PLOS ONE | https://doi.org/10.1371/journal.pone.0240176 October 6, 2020
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PLOS ONECO2 exposure in reptiles
that a given duration of CO2 exposure had once the animal was removed from CO2, including
the extent of involuntary/reflex muscle activity and the likelihood of death. Unfortunately, we
did not have a sufficient sample size to examine sexual differences in species’ responses to CO2
exposure. Plausibly, CO2 may affect males and females differently, especially in those species
with strong sexual dimorphism. Related to this, our study was undertaken on several of the
world’s largest reptiles, all of which are semi-aquatic and can remain submerged under water
for considerable periods. Application of CO2 exposure to the myriad of smaller-bodied rep-
tiles, and to strictly terrestrial species, may yield different results.
We made the assumption that because the density of CO2 is greater than air, complete
(100%) CO2 saturation would occur as air was expelled from the small opening positioned at
the top of the bag [25]. However, we did not directly measure the concentration of CO2 within
the bag and whether the concentration was homogenous. Layering of CO2 could enable speci-
mens to avoid exposure [2]. The variation in responses to CO2 exposure in our study may be
related to minor but functionally significant difference in CO2 distribution [see 26]. In order
to more broadly apply CO2 as a euthanasia method in reptiles, there needs to be a better under-
standing of interspecific difference among taxa as well as a delivery system with established
displacement parameters and sufficient holding capacity.
Regardless of species, our behavioral observations suggest the reptiles used in our study do
not suffer significant distress from CO2 exposure. Although our observational assessments
were subjective, the body movements made by conscious reptiles were minor and appeared
considerably less vigorous than the escape behavior displayed by these same animals when first
removed from their holding bags. In the case of V. salvator, some specimens went unconscious
without showing any signs of movement. Nevertheless, it is challenging to accurately deter-
mine if reptiles are indeed dead, let alone feeling pain, based solely on behavioral responses
[27, 28]. For example, an active heartbeat, involuntary movements, and response to touch sti-
muli can continue for hours after complete destruction, pithing, and removal of the brain
[Natusch unpubl. data 2020, 2]. Similarly, our data on the time reptiles take to lose responsive-
ness are difficult to interpret. It was often unknown if specimens were consciously responsive,
or unconscious and merely exhibiting involuntary muscular reflex. Importantly, the difficulty
of assuring death, and the high but less than 100% effectiveness at killing at some CO2 expo-
sure durations, may warrant the use of a secondary method to ensure death as is commonly
used for chemical-induced euthanasia of research animals [see 2].
The most consistent behavioral response to CO2 exposure was the non-violent gaping dis-
played by most (90%) individuals. Gaping is common in mammals and birds subject to CO2
exposure, and in birds does not appear to be a sign of distress when exposed to CO2 [29]. It is
unknown whether gaping is a sign of significant distress in reptiles. Gaping occurred within 30
seconds to 16 minutes of initiating CO2 exposure and the timing varied among taxa (Fig 1). The
short duration between initial exposure and gaping, and then unconsciousness, suggests that
suffocation may not be the cause of death in reptiles exposed to CO2. All species used in our
study are semi-aquatic, and capable of spending significant time underwater (>20 minutes),
suggesting another physiological response is taking place. Despite the lack of behavioral indica-
tors for stress and pain, reptiles take considerably longer to lose consciousness than mammals
and birds [30–32]. Some consider a gentle death that takes longer is preferable to a rapid but
more distressing death [26, 33]. In the context of CO2 and reptiles, further research is needed.
Our additional approach to investigate the impact of CO2 exposure in our study species, by
monitoring plasma corticosterone concentrations, also suggests that reptiles experience rela-
tively minor distress from CO2 exposure. Comparison to our control (wild or farmed) speci-
mens suggests the relative increase in stress involved in restraint and transportation of
specimens to the laboratory was greater than the distress induced by CO2 exposure [2, 34].
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PLOS ONECO2 exposure in reptiles
Brown tree snakes (Boiga irregularis) and red-sided garter snakes (Thamnophis sirtalis) cap-
tured and placed in bags for 2–4 hours increased plasma corticosterone levels by 280–1200%
[35, 36], but resulted in no appreciable increase in corticosterone concentrations in bearded
dragons (Pogona barbata) [37]. Several studies reveal a lack of adverse impacts of corticoste-
rone increase on survival, feeding behavior, and reproduction [38–40]. Other studies docu-
ment invasive procedures (e.g., toe clipping, microchipping) inducing smaller corticosterone
increases than did natural stresses experienced in the wild [27]. The relatively small increases
in plasma corticosterone concentrations observed in pythons (14%) and lizards (18%) in our
study may suggest that the functional relevance (distress or pain) of CO2 exposure-induced
increases in corticosterone may be negligible. It is possible that the small increases in cortico-
sterone levels we observed were related mostly to the stress caused by restraining and collect-
ing an initial (T0) blood sample from each specimen, rather than by exposure to the CO2 itself.
Alternatively, a post-CO2 exposure increase in corticosterone may have been suppressed
because the recent capture, confinement, and handling had already maximized the hypotha-
lamic-pituitary-adrenal (HPA) axis response.
Intriguingly, exposure to CO2 may have additional benefits beyond the possibility of a pain-
less death. After death, animals can have spinal cord induced muscle activity, and this can last
for an extended duration in reptiles due to their tissue’s high tolerance of hypoxia. This phe-
nomenon can lead to the impression that the animals is still alive [2], and thus has been capi-
talized on by activists who oppose the consumption of animals, claiming they are being
processed while still alive. In addition to being aesthetically displeasing, continued muscle
movements after death force staff in commercial facilities to delay the harvesting of tissues for
up to two hours after death [41]. When killed via CO2 exposure, we recorded no involuntary
muscle movements after the presumed point of death, including during the processing of the
reptiles. The physiological cause of this lack of muscle tone is unknown but, given its func-
tional and cosmetic advantages, warrants further investigation.
In conclusion, our study presents some of the first results on the effects of CO2 exposure in
reptiles. We stress that our results are preliminary and therefore are reluctant to recommend
CO2 as a humane method of reptile euthanasia at this time. Despite our results being generally
positive, we identified some interspecific differences and methodological variables that may
influence the effectiveness of CO2 exposure. Future studies could usefully disentangle the
influence of these variables and employ alternative methods for assessing stress, pain, and
death in reptiles (e.g., electroencephalography).
Supporting information
S1 Data. CO analyses.
(XLSX)
Acknowledgments
We thank Yuan Wai Lek reptile trading company, Sisatchanalai python farm, and Lim Maju
Jaya Trading for providing the animals used in this study. We also thank the Malaysian
Department of Wildlife and National Parks Peninsular Malaysia for providing access to their
forensic laboratory and equipment. We thank anonymous reviewers for comments that
improved an earlier draft of this manuscript.
Author Contributions
Conceptualization: Daniel J. D. Natusch, Patrick W. Aust, Dale F. DeNardo.
PLOS ONE | https://doi.org/10.1371/journal.pone.0240176 October 6, 2020
11 / 14
PLOS ONECO2 exposure in reptiles
Data curation: Daniel J. D. Natusch, Dale F. DeNardo.
Formal analysis: Daniel J. D. Natusch, Andre Ganswindt, Dale F. DeNardo.
Funding acquisition: Daniel J. D. Natusch.
Investigation: Daniel J. D. Natusch, Patrick W. Aust, Syarifah Khadiejah, Hartini Ithnin, Ain
Isa, Che Ku Zamzuri, Dale F. DeNardo.
Methodology: Daniel J. D. Natusch, Patrick W. Aust, Syarifah Khadiejah, Hartini Ithnin,
Andre Ganswindt, Dale F. DeNardo.
Project administration: Daniel J. D. Natusch, Patrick W. Aust.
Resources: Daniel J. D. Natusch, Hartini Ithnin, Ain Isa, Che Ku Zamzuri.
Software: Daniel J. D. Natusch.
Supervision: Daniel J. D. Natusch, Patrick W. Aust, Dale F. DeNardo.
Validation: Daniel J. D. Natusch.
Visualization: Daniel J. D. Natusch.
Writing – original draft: Daniel J. D. Natusch, Patrick W. Aust, Andre Ganswindt, Dale F.
DeNardo.
Writing – review & editing: Daniel J. D. Natusch, Patrick W. Aust, Syarifah Khadiejah, Har-
tini Ithnin, Ain Isa, Che Ku Zamzuri, Andre Ganswindt, Dale F. DeNardo.
References
1. Chambers PG, Grandin T. Guidelines for humane handling, transport and slaughter of livestock. Heinz
G, Srisuvan T, editors. Humane Society and International 2001. [accessed on 28 May 2020]. pp. 1–17.
Available from: http://www.fao.org/3/a-x6909e.pdf.
2.
Leary SL, Underwood W, Anthony R, Cartner S, Corey D, Grandin T, et al. AVMA Guidelines for the
Euthanasia of Animals: 2020 Edition. American Veterinary Medical Association\. Schaumburg, IL.
[(accessed on 30 May 2020)]. Available from: https://www.avma.org/sites/default/files/2020-01/2020-
Euthanasia-Final-1-17-20.pdf.
3. Shine R, Amiel J, Munn AJ, Stewart M, Vyssotski AL, Lesku JA. Is “cooling then freezing” a humane
way to kill amphibians and reptiles? Biol Open 2015; 4: 760–763. https://doi.org/10.1242/bio.012179
PMID: 26015533
4. Shine R, Lesku JA, Lillywhite HB. Assessment of the cooling-then-freezing method for euthanasia of
amphibians and reptiles. J Am Vet Med Assoc 2019; 255: 48–50. https://doi.org/10.2460/javma.255.1.
48 PMID: 31194656.
5.
Lillywhite HB, Shine R, Jacobson E, DeNardo DF, Gordon MS, Navas CA, et al. Anesthesia and eutha-
nasia of amphibians and reptiles used in scientific research: should hypothermia and freezing be prohib-
ited? Bioscience 2017; 67:53–61. https://doi.org/10.1093/biosci/biw143
6. Swiss Expert Panel. Analysis of humane killing methods for reptiles in the skin trade. Swiss Federal Vet-
erinary Office. 2013. [(accessed on 30 May 2020)]. Available from: https://recht.pogona.ch/data/_
uploaded/file/3.0%20F%C3%BCtterung/5.2_BVET_Analysis%20on%20humane%20killing%
20methods%20for%20reptiles%20in%20the%20skin%20trade%20frm%5B1%5D.pdf.
7. World Organisation for Animal Health. Terrestrial Animal Health Code, Chapter 7.14. 2019 [accessed
on 29 June 2020)]. Available from: https://www.oie.int/international-standard-setting/terrestrial-code/.
8. Withrock IC. The use of carbon dioxide (CO2) as an alternative euthanasia method for goat kids. M.Sc.
Thesis, Iowa State University. 2015. Available from: https://lib.dr.iastate.edu/etd/14718.
9. Boivin GP, Hickman DL, Creamer-Hente MA, Pritchett-Corning KR, Bratcher NA. Review of CO2 as a
euthanasia agent for laboratory rats and mice. J Am Assoc Lab Anim Sci. 2017; 56: 491–499. PMID:
28903819.
10. C¸ avuşoğlu E, Rault JL, Gates R, Lay DC. Behavioral Response of Weaned Pigs during Gas Euthanasia
with CO2, CO2 with Butorphanol, or Nitrous Oxide. Animals 2020; 10: 787. https://doi.org/10.3390/
ani10050787 PMID: 32370086
PLOS ONE | https://doi.org/10.1371/journal.pone.0240176 October 6, 2020
12 / 14
PLOS ONECO2 exposure in reptiles
11. Close B, Banister K, Baumans V, Bernoth EM, Bromage N, Bunyan J, et al. Recommendations for
euthanasia of experimental animals: Part 2. Lab anim 1997; 31: 1–32. https://doi.org/10.1258/
002367797780600297 PMID: 9121105.
12. Warren K. Reptile Euthanasia—No Easy Solution? Pac Conserv Biol 2014; 20: 25–27. https://doi.org/
10.1071/PC140025
13. Khadiejah S, Razak N, Ward-Fear G, Shine R, Natusch DJD. Asian water monitors (Varanus salvator)
remain common in Peninsular Malaysia, despite intense harvesting. Wildl Res 2019; 46: 265–275.
https://doi.org/10.1071/WR18166
14. Natusch DJD, Lyons JA, Riyanto A, Mumpuni, Khadiejah S, Shine R. Detailed biological data are infor-
mative, but robust trends are needed for informing sustainability of wildlife harvesting: A case study of
reptile offtake in Southeast Asia. Biol Conserv 2019; 233: 83–92. https://doi.org/10.1016/j.biocon.2019.
02.016
15. Natusch DJD, Lyons JA. Assessment of python breeding farms supplying the international high-end
leather industry. A report under the ‘Python Conservation Partnership’ programme of research. Occa-
sional Paper of the IUCN Species Survival Commission 2014; 50. [(accessed on 15 May 2020)]. Avail-
able from: https://portals.iucn.org/library/sites/library/files/documents/SSC-OP-050.PDF.
16.
Lasiewski RC, Acosta AL, Bern-stein MH. Evaporative water loss in birds. 1. Characteristics of the open
flow method of determination, and their relation to estimates of thermoregulatory ability. Comp Biochem
Physiol 1966; 19:445–457.
17. Sykes KL, Klukowski M. Effects of acute temperature change, confinement and housing on plasma cor-
ticosterone in water snakes, Nerodia sipedon (Colubridae: Natricinae). J Exp Zool 2009; 311A: 172–
181. https://doi.org/10.1002/jez.515 PMID: 19051318.
18.
Finger JW Jr, Hamilton MT, Kelley MD, Stacy NI, Glenn TC, Tuberville TD. Examining the Effects of
Chronic Selenium Exposure on Traditionally Used Stress Parameters in Juvenile American Alligators,
Alligator mississippiensis. Arch Environ Contam Toxicol. 2019; 77(1):14–21. https://doi.org/10.1007/
s00244-019-00626-9 PMID: 30976886
19. Xie S, Romero LM, Htut ZW, McWhorter TJ. Stress responses to heat exposure in three species of Aus-
tralian desert birds. Physiol Biochem Zool. 2017; 90(3):348–358. https://doi.org/10.1086/690484 PMID:
28384428
20. Seddon RJ, Hews DK. Populations of the Lizard, Sceloporus occidentalis, that differ in melanization
have different rates of wound healing. J Exp Zool A Ecol Genet Physiol. 2016; 325(8):491–500. https://
doi.org/10.1002/jez.2033 PMID: 27597293
21. West JM, Klukowski M. Seasonal changes in baseline corticosterone, association with innate immunity,
and effects of confinement in free-ranging Eastern Box Turtles, Terrapene carolina carolina. Gen Comp
Endocrinol. 2018; 262:71–80. https://doi.org/10.1016/j.ygcen.2018.03.016 PMID: 29548757
22. Chappell MA, Ellis TM. Resting metabolic rates in boid snakes: allometric relationships and temperature
effects. J Comp Physiol B 1987; 157: 227–235. https://doi.org/10.1007/BF00692367 PMID: 3106432.
23.
Thompson G, Heger N, Heger T, Withers P. Standard metabolic rate of the largest Australian lizard,
Varanus giganteus. Comp Biochem Physiol A Mol Integr Physiol 1995; 111: 603–608.
24. Hopkins W, Roe J, Philippi T, Congdon J. Standard and digestive metabolism in the banded water
snake, Nerodia fasciata fasciata. Comp Biochem Physiol A Mol Integr Physiol 2004; 137: 141–149.
https://doi.org/10.1016/j.cbpb.2003.09.017 PMID: 14720599.
25. Murray D. (2009). CO2 euthanasia methods for neonatal piglets. Allen D. Lemon Swine Conference;
2009 University of Minnesota: Minneapolis, MN United States of America. p. 114–116. [(accessed on
15 May 2020)]. Available from: http://hdl.handle.net/11299/139762.
26. Coenen AM, Drinkenburg WH, Hoenderken R, van Luijtelaar EL. Carbon dioxide euthanasia in rats:
oxygen supplementation minimizes signs of agitation and asphyxia. Lab Anim 1995; 29: 262–268.
https://doi.org/10.1258/002367795781088289 PMID: 7564209.
27.
Langkilde T, Shine R. How much stress do researchers inflict on their study animals? A case study
using a scincid lizard, Eulamprus heatwolei. J Exp Biol 2006; 209:1035– 1043. https://doi.org/10.1242/
jeb.02112 PMID: 16513929.
28. Eatwell K. Options for analgesia and anaesthesia in reptiles. In Pract 2010; 32: 306–311. https://doi.org/
10.1136/inp.c3917
29. McKeegan DEF, McIntyre J, Demmers TGM, Wathes CM, Bryan Jones R. Behavioural responses of
broiler chickens during acute exposure to gaseous stimulation. Appl Anim Behav Sci 2006; 99: 271–
286. https://doi.org/10.1016/j.applanim.2005.11.002
30. Hewett TA, Kovacs MS, Artwohl JE, Bennett BT. A comparison of euthanasia methods in rats, using
carbon dioxide in prefilled and fixed flow-rate filled chambers. Lab Anim Sci 1993; 43: 579–582. PMID:
8158983.
PLOS ONE | https://doi.org/10.1371/journal.pone.0240176 October 6, 2020
13 / 14
PLOS ONECO2 exposure in reptiles
31. Shea SA, Harty HR, Banzett RB. Self-control of level of mechanical ventilation to minimize CO2-
induced air hunger. Respir Physiol 1996; 103: 113–125. https://doi.org/10.1016/0034-5687(95)00086-0
PMID: 8833543.
32. Reed B, Varon J, Chait BT, Kreek MJ. Carbon dioxide-induced anaesthesia result in a rapid increase in
plasma levels of vasopressin. Endocrinology 2009; 150: 2934–2939. https://doi.org/10.1210/en.2008-
1408 PMID: 19213839
33. Hawkins P, Playle L, Golledge H, Leach M, Banzett R, Coenen A, et al. Newcastle Consensus Meeting
on Carbon Dioxide Euthanasia of Laboratory Animals; Newcastle upon Tyne, UK. 27–28 February
2006; [(accessed on 28 May 2020)]. pp. 1–17. Available from: www.nc3rs.org.uk/downloaddoc.asp?id=
416&page=292&skin=0.
34. Sharp J, Azar T, Lawson D. Comparison of carbon dioxide, argon, and nitrogen for inducing uncon-
sciousness or euthanasia of rats. J Am Assoc Lab Anim Sci 2006; 45: 21–25. PMID: 16542038.
35. Moore IT, Lemaster MP, Mason RT. Behavioural and hormonal responses to capture stress in the male
red-sided garter snake, Thamnophis sirtalis parietalis. Anim Behav 2000; 59: 529e534. https://doi.org/
10.1006/anbe.1999.1344 PMID: 10715174.
36. Mathies T, Felix TA, Lance VA. Effects of trapping and subsequent short-term confinement stress on
plasma corticosterone in the brown treesnake, Boiga irregularis on Guam. Gen Comp Endocrinol 2001;
124(1):106–114. https://doi.org/10.1006/gcen.2001.7694 PMID: 11703076.
37. Cree A, Amey AP, Whittier JM. Lack of consistent hormonal responses to capture during the breeding
season of the bearded dragon, Pogona barbata. Comp Biochem Physiol 2000; 126: 275–285. https://
doi.org/10.1016/j.yhbeh.2005.08.004 PMID: 16153645.
38. Cote J, Clobert J, Meylan S, Fitze P. Experimental enhancement of corticosterone levels positively
affects subsequent male survival. Horm Behav 2006; 49: 320–327. https://doi.org/10.1016/j.yhbeh.
2005.08.004 PMID: 16153645.
39.
Thaker M, Vanak AT, Lima SL, Hews DK. Stress and aversive learning in a wild vertebrate: the role of
corticosterone in mediating escape from a novel stressor. Am Nat 2010; 175: 50–60. https://doi.org/10.
1086/648558 PMID: 19922261.
40. Dupoue´ A, Angelier F, Brischoux F, DeNardo DF, Trouve´ C, Parenteau C, et al. Water deprivation
increases maternal corticosterone levels and enhances offspring growth in the snake, Vipera aspis. J
Exp Biol 2016; 219: 658–667. https://doi.org/10.1242/jeb.132639 PMID: 26747902.
41. Aust PW, Webb GJW, DeNardo DF, Natusch DJD. Welfare Principles for Snakes and Monitor Lizards
in the Southeast Asian Skin Trade–a guide for stakeholders. Swiss Federal Veterinary Office, Switzer-
land; Southeast Asian Reptile Conservation Alliance, France 2019.
PLOS ONE | https://doi.org/10.1371/journal.pone.0240176 October 6, 2020
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| null |
10.1073_pnas.2220576120.pdf
|
Data, Materials, and Software Availability. Sequencing data is available at
National Center for Biotechnology Information Gene Expression Omnibus under
accession GSE214456 (52). All other data are included in the manuscript and/
or SI Appendix.
| null |
RESEARCH ARTICLE |
GENETICS
OPEN ACCESS
Derepression of Y-linked multicopy protamine-like genes interferes
with sperm nuclear compaction in D. melanogaster
Jun I. Parka,b,c
, and Yukiko M. Yamashitad,e,f,1
, George W. Belld
Edited by Mariana Wolfner, Cornell University, Ithaca, NY; received December 3, 2022; accepted March 17, 2023
Across species, sperm maturation involves the dramatic reconfiguration of chromatin
into highly compact nuclei that enhance hydrodynamic ability and ensure paternal
genomic integrity. This process is mediated by the replacement of histones by sperm
nuclear basic proteins, also referred to as protamines. In humans, a carefully bal-
anced dosage between two known protamine genes is required for optimal fertility.
However, it remains unknown how their proper balance is regulated and how defects
in balance may lead to compromised fertility. Here, we show that a nucleolar pro-
tein, modulo, a homolog of nucleolin, mediates the histone-to-protamine transition
during Drosophila spermatogenesis. We find that modulo mutants display nuclear
compaction defects during late spermatogenesis due to decreased expression of auto-
somal protamine genes (including Mst77F) and derepression of Y-linked multicopy
Mst77F homologs (Mst77Y), leading to the mutant’s known sterility. Overexpression
of Mst77Y in a wild-type background is sufficient to cause nuclear compaction defects,
similar to modulo mutant, indicating that Mst77Y is a dominant-negative variant
interfering with the process of histone-to-protamine transition. Interestingly, ectopic
overexpression of Mst77Y caused decompaction of X-bearing spermatids nuclei more
frequently than Y-bearing spermatid nuclei, although this did not greatly affect the
sex ratio of offspring. We further show that modulo regulates these protamine genes at
the step of transcript polyadenylation. We conclude that the regulation of protamines
mediated by modulo, ensuring the expression of functional ones while repressing
dominant-negative ones, is critical for male fertility.
protamine | spermatogenesis | Drosophila
In many species, spermatids undergo the process of nuclear compaction, an essential
process to produce sperm that are capable of fertilization (1–3). Nuclear compaction is
critical for the sperm’s hydrodynamic performance and protecting the paternal genome
against mutagens (4–6). Nuclear compaction involves the dramatic chromatin reorgan-
ization mediated by the histone-to-protamine transition (1–5, 7, 8). Sperm nuclear
basic proteins, also referred to as protamines, are small, positively charged proteins that
replace histone-based nucleosomes to achieve the extreme degree of DNA compaction
often seen in sperm (2). As such, these protamines are required for fertility across many
different species (4).
Although protamines are essential for fertility, they are rapidly evolving across species
(4, 9, 10), where the primary sequence, the number, and the functionality of protamine genes
are not well conserved. For example, human and mouse protamine genes, PRM1 and PRM2,
are required for fertility (4, 6, 7), while PRM2 has become nonfunctional in bulls and boars
(4, 11). Closely related Drosophila species have independently evolved many different
protamine-like genes (10): Drosophila melanogaster has Mst35Ba and Mst35Bb (also known
as ProtA and ProtB), which are the most similar to mammalian PRM1 and PRM2 (3, 12, 13),
as well as Mst77F, Prtl99C, and Y-linked multicopy Mst77Y, with evidence that several more
uncharacterized genes may also be involved (14). In contrast, in Drosophila simulans, there is
just one orthologous copy of the ProtA/B gene (Prot) as well as one ortholog each for Mst77F
(GD12157) and Prtl99c (GD21472). D. simulans lacks Mst77Y (10, 14), but have evolved
their own clade-specific genes that contain large regions of protamine sequences (Dox family
genes), which are not present in D. melanogaster (15, 16). Surprisingly, while ProtA and ProtB
are most similar to their mammalian counterparts, they are not required for fertility in
D. melanogaster (12); instead, more divergent genes Mst77F and Prtl99C are essential (17–19).
The potential function of the D. melanogaster-specific multicopy locus of Mst77F homologs
(the Mst77Y genes) is unknown (20, 21).
Interestingly, it has been observed that mammals appear to feature their own species-specific
ratios of protamine dosage (2, 11, 22, 23), and in humans, even small alterations in the ratio
of PRM1 and PRM2 are associated with infertility (2, 23–26), suggesting that a specific
balance of protamines is important for sperm DNA packaging. However, it remains unknown
Significance
Protamines are small, highly
positively charged proteins that
are required for packaging DNA
to produce mature sperm with
highly condensed nuclei capable
of fertilization. Even small
changes in the dosage of
protamines in humans is
associated with infertility.
Our work reveals the presence of
dominant-negative protamine
genes on the Y chromosome of
Drosophila melanogaster and
shows that the precise
expression of functional
protamines and repression of
dominant-negative protamines is
a critical process to ensure
male fertility.
Author affiliations: aLife Sciences Institute, University
of Michigan, Ann Arbor, MI 48109; bDepartment of Cell
and Developmental Biology, University of Michigan
cMedical
Medical School, Ann Arbor, MI 48109;
Scientist Training Program, University of Michigan
Medical School, Ann Arbor, MI 48109; dWhitehead
Institute for Biomedical Research, Cambridge, MA
02142; eDepartment of Biology, School of Science,
Massachusetts Institute of Technology, Cambridge, MA
02142; and fHHMI, Cambridge, MA 02142
Author contributions: J.I.P. and Y.M.Y. designed research;
J.I.P. performed
J.I.P. contributed new
reagents/analytic tools; J.I.P., G.W.B., and Y.M.Y. analyzed
data; and J.I.P. and Y.M.Y. wrote the paper.
research;
The authors declare no competing interest.
This article is a PNAS Direct Submission.
Copyright © 2023 the Author(s). Published by PNAS.
This open access article is distributed under Creative
Commons Attribution License 4.0 (CC BY).
1To whom correspondence may be addressed. Email:
yukikomy@wi.mit.edu.
This article contains supporting information online at
https://www.pnas.org/lookup/suppl/doi:10.1073/pnas.
2220576120/-/DCSupplemental.
Published April 10, 2023.
PNAS 2023 Vol. 120 No. 16 e2220576120
https://doi.org/10.1073/pnas.2220576120 1 of 8
why carefully balanced protamine expression is important and how
it is achieved to support fertility.
While studying D. melanogaster modulo mutants, we discovered
that modulo transheterozygotic mutant causes misregulation of
protamine genes. modulo mutant spermatids display decreased
nuclear incorporation of protamine-like protein Mst77F and
increased incorporation of its Y-linked homolog, Mst77Y, which
is barely incorporated in the wild type, leading to a DNA com-
paction defect that explains the reported sterility of modulo mutant.
Our data indicate that Mst77Y likely acts as a dominant-negative
form of Mst77F, interfering with the process of histone-to-protamine
transition. Interestingly, Mst77Y has disproportionate effects on
spermatids carrying an X chromosome, leading to biased decom-
paction of X-bearing spermatid nuclei, although it does not lead
to large effects on the sex ratio of offspring. We further find that
modulo is involved in safeguarding polyadenylation of Mst77F
transcript over that of the Y-linked Mst77Y. Our study reveals a
mechanism of protamine gene expression mediated by modulo,
balancing the correct ratio of protamine gene expression to ensure
male fertility.
Results
modulo Mutant Is Defective in Sperm Nuclear Compaction.
Modulo is the Drosophila homolog of Nucleolin, a nucleolar protein
implicated in RNA processing (27, 28). Although modulo-mutant
males have been known to be sterile (27, 29), the cytological
defects that lead to their sterility have not been characterized. We
find that the modulo transheterozygote mutant (mod L8/mod 07570)
exhibits defects in nuclear morphology transformation during
late spermiogenesis. In wild-type males, postmeiotic spermatid
nuclei undergo well-documented morphological changes (1), from
round spermatid stage, to “leaf ” stage, to “canoe” stage, resulting in
highly condensed “needle-” stage nuclei, which is accompanied by
the histone-to-protamine transition (Fig. 1A). Although modulo-
mutant germ cells proceeded through spermatogenesis normally,
including early nuclear compaction (Fig. 1 B and C), the modulo
mutant exhibited striking “decompaction” of the nuclei after
reaching the canoe stage, coinciding with the individualization of
spermatids (Fig. 1 D and E). Immunofluorescence (IF) staining
using anti-dsDNA, which has been previously used to assess the
compaction status of spermatid nuclei (30), revealed that defective
spermatid nuclei of modulo mutant are indeed decompacted (Fig. 1
F and G). Decompacting nuclei are initially negative via Terminal
deoxynucleotidyl transferase dUTP nick end labeling (TUNEL), a
method used to identify DNA breaks that occur during apoptosis
(Fig. 1 H and I), then become TUNEL positive (Fig. 1J), suggesting
that decompaction is not the result of cell death, but may rather
be a cause. Overall, 100% of the modulo-mutant testes exhibited
a nuclear decompaction phenotype (Fig. 1K), and it appeared that
all nuclei eventually become decompacted and die, filling the distal
end of the testis with cellular debris (SI Appendix, Fig. S1 A and B).
The eventual death of all sperm nuclei likely results in the entire
lack of mature sperm in the seminal vesicles (SI Appendix, Fig. S1
C and D) and the modulo mutant’s known sterility.
modulo Mutant Fails in Histone-to-Protamine Transition.
Because nuclear decompaction in the modulo mutant occurs at
stages when sperm chromatin is known to undergo reorganization
through the histone-to-protamine transition, we explored whether
the modulo mutant is defective in this process. Histone-to-
protamine transition occurs step wise: 1) histone modification
and removal, 2) transition protein incorporation then removal,
and 3) protamine incorporation (1). IF staining revealed that
modulo-mutant spermatids undergo proper histone removal and
transient transition protein incorporation (SI Appendix, Fig. S2 A–
F), but fail to properly accumulate ProtA/B and Mst77F (Fig. 2 A
and B). Moreover, using a specific antibody (SI Appendix, Fig. S3
A and B), we found that Mst77Y, Y-linked multicopy homologs of
Mst77F (20, 21) (SI Appendix, Fig. S4A), strongly accumulated in
modulo-mutant spermatid nuclei, whereas it was barely detectable
in control (Fig. 2 C–G), suggesting that Mst77Y is aberrantly
expressed in the modulo mutant. As the deletion of Mst77F and
ProtA/B does not cause nuclear decompaction as severe as that of
the modulo mutant (18), we infer that the incorporation of Mst77Y
(in addition to the depletion of Mst77F and ProtA/B) causes the
observed catastrophic nuclear decompaction seen in the modulo-
mutant spermatids.
Ectopic Expression of Mst77Y Alone Is Sufficient to Cause Nuclear
Decompaction. The Mst77Y genes have several interesting features.
First, the gene locus contains 18 copies of Mst77F homolog
(SI Appendix, Fig. S4 A and B), which originated from a single
event of Mst77F translocation to the Y chromosome, followed by
gene amplification (20, 21). Second, many of the Mst77Y genes
have mutations, which have resulted in changes in the position
and number of critical arginine, lysine, and cysteine residues
believed to be important for protamine function (4, 31). Other
mutations have resulted in premature truncations (SI Appendix,
Fig. S4B) (21). Note that anti-Mst77Y antibody was generated
by using multiple peptides from Mst77Y that are distinct from
Mst77F to increase specificity. The antibodies were also designed
to be able to identify all copies of Mst77Y, which feature similar
mutations and were tested to be able to identify both full-length
Mst77Y (Mst77Y-12) and normally truncated Mst77Y (Mst77Y-3)
(SI Appendix, Figs. S4 B and S5 A–C). Because Mst77Y’s mutations
likely alter Mst77F’s normal function, we hypothesized that
Mst77Y genes may function as a dominant-negative form of
Mst77F. Accordingly, Mst77Y’s aberrantly high expression in the
modulo mutant may interfere with the process of normal histone-
to-protamine transition.
To test the possibility that the expression of Mst77Y causes the
nuclear decompaction phenotype, we generated transgenic lines
that express Mst77Y under a male germline-specific tubulin pro-
moter (β2-tubulin promoter) (32–34). From the 18 copies of
Mst77Y homologs present on the Y chromosome (20, 21) we
generated two lines expressing either Mst77Y-12 (a full-length
version) or Mst77Y-3 (a truncated version due to premature stop
codon) (SI Appendix, Figs. S4B and S6), as the transcripts of these
two genes have been previously detected by qRT-PCR (21).
Strikingly, expression of either Mst77Y-3 or Mst77Y-12 recapitu-
lated a nuclear decompaction phenotype similar to that seen in
modulo mutant (Fig. 3 A–D): 45.7% and 43.2% of testes exam-
ined exhibited nuclear decompaction upon expression of Mst77Y-3
or Mst77Y-12, respectively (Fig. 3E), suggesting that high Mst77Y
expression is sufficient to cause nuclear decompaction in a subset
of spermatids. Notably, in contrast to the eventual decompaction
of all spermatids seen in the modulo mutant, Mst77Y overexpres-
sion alone does not cause sterility. We speculate that this might
be due to the added effect of the decreased incorporation of
Mst77F and ProtA/B, in addition to high Mst77Y incorporation,
seen in the modulo mutant.
Given that Barckmann et al. utilized the same promoter to
overexpress autosomal Mst77F and did not observe such nuclear
compaction defects during spermiogenesis (32) as we observed
with Mst77Y overexpression, we infer that Mst77Y may act as a
dominant-negative form, perhaps interfering with the function
of Mst77F (Discussion). This notion is further supported by the
2 of 8 https://doi.org/10.1073/pnas.2220576120
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A
Histone : Protamine exchange
round spermatid
Elongation
leaf stage
spermatocyte
growth/
maturation
mitoses
GSCs
meiotic
divisions
Seminal
Vesicle
canoe stage
needle stage
Nuclear Shaping,
nuclear compaction,
and individualization
)
+
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DAPI
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DAPI
phalloidin
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DAPI dsDNA
H
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DAPI TUNEL
mod 07570/+
mod 07570/+
mod 07570/+
mod 07570/+
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100
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***
100%
(105/105)
0%
(0/67)
control
mod 07570/+
mutant
modL8/mod 07570
DAPI TUNEL
mod L8/mod 07570
mod L8/mod 07570
mod L8/mod 07570
mod L8/mod 07570
mod L8/mod 07570
Fig. 1. Sterility of modulo mutant is accompanied by defective spermatid chromatin compaction. (A) Schematic of spermatogenesis in Drosophila proceeding
from germline stem cells to mature sperm. Proceeding from meiotic divisions onward, only nuclei are depicted. (B and C) Representative images of canoe-stage
nuclei stained with DAPI (gray) in control males (mod07570/+) (B), and modulo-mutant males (modL8/mod07570) (C). (D and E) Representative images at the stage shortly
before individualization stained with DAPI (gray) and phalloidin (cyan, to visualize the individualization complex) in control males (mod07570/+) (D) and modulo-
mutant males (modL8/mod07570) (E). Although all nuclei eventually become decompacted in modulo-mutant males, individualization complex (marked by phalloidin
staining) appears to be normally formed. Yellow arrowheads indicating decompacted nuclei. (F and G) Representative images of late canoe to needle stages stained
with anti-dsDNA (red) and DAPI (gray) in control (mod07570/+) (F) and modulo-mutant males (modL8/mod07570) (G). N: needle-stage spermatids that do not stain
for dsDNA due to advanced DNA compaction, C: canoe-stage spermatids that are less compact and positive for anti-dsDNA staining. (H–J) Staining via Terminal
deoxynucleotidyl transferase dUTP nick end labeling (TUNEL) (magenta) of needle-shaped spermatid cysts in control (mod07570/+) (H) and mutant (modL8/mod07570)
males without (I) or with (J) TUNEL signal. (K) Percentage of decompaction phenotype in modulo-mutant vs. wild-type males. *** indicates P < 0.001 (unpaired
Student’s t test assuming unequal variances in five independent experiments). n (total number of testes counted per genotype) is presented on the bar graph.
fact that a truncated version (Mst77Y-3) also causes the decom-
paction phenotype. Indeed, spermatid cysts of transgenic males
expressing Mst77Y-3 exhibited uneven Mst77F staining, sug-
gesting that some nuclei fail to accomplish proper Mst77F incor-
poration (SI Appendix, Fig. S5 D and E). It is important to note
that the nuclear decompaction was most prominently observed
when males were raised in 25 °C after their parents were raised
at 18 °C (Methods). Interestingly, using DNA Fluorescence
in situ hybridization (FISH) to distinguish X- vs. Y-bearing sper-
matids, we found that overexpression of Mst77Y results in biased
demise of X-bearing spermatids, where 61.8% of decompacting
nuclei were X-bearing, compared to only 38.2% being Y-bearing
(Fig. 3 F and G). It is important to note that this bias is not due
to differential efficiency of hybridization of X chromosome vs.
Y chromosome DNA FISH probes: Leaf to canoe stage sperma-
tids of control males (SI Appendix, Fig. S7 A and B), as well as
leaf to canoe stage spermatids of modulo-mutant males (before
they exhibit decompaction defects), exhibited ~50:50 ratio of
X:Y signal (SI Appendix, Fig. S7 C and D), further suggesting
that decompaction is biased toward X-bearing spermatids.
However, a fertility assay revealed only a minor increase in the
male progeny compared to sex chromosome–matched controls
(51.8% vs. 47.8%, P = 0.0005) (SI Appendix, Fig. S8A).
Likewise, only a small degree of sex ratio distortion was observed
in modulo heterozygous mutant, compared to sex chromosome–
matched control (SI Appendix, Fig. S8B) (Discussion).
Together, these results suggest that Mst77Y acts as a
dominant-negative form of Mst77F, interfering with the incorpo-
ration of normal protamines and leading to spermatid nuclear
decompaction.
Modulo Promotes Polyadenylation of Autosomal Mst77F
Transcript. How does modulo regulate the expression of Mst77F
and Mst77Y? Modulo protein is expressed in the nucleolus of
spermatogonia and spermatocytes, but is down-regulated prior to
the meiotic divisions (Fig. 4 A and B), days earlier than the stages
in which its mutant phenotype manifests. Protamine genes are
known to be transcribed many days prior to the sperm nuclear
compaction process in both flies and mice (3, 32, 35). Interestingly,
we found that Mst77F transcripts colocalize with Modulo in the
spermatocyte nucleolus, while Mst77Y transcripts localize adjacent
to the nucleolus (Fig. 4C). These results prompted us to examine
whether Mst77F and/or Mst77Y transcripts may be deregulated in
modulo mutant. Indeed, we found that Mst77F messenger RNA
(mRNA) is dramatically reduced in modulo mutant, whereas
Mst77Y mRNA was increased approximately threefold using
qRT-PCR of polyA-selected RNA (Fig. 4D). However, when
total RNA was used for qRT-PCR or total RNA sequencing, we
found that both Mst77F and Mst77Y transcripts were increased in
modulo mutant (Fig. 4D and SI Appendix, Fig. S9A). RNA FISH,
which visualizes total RNA, also confirmed the increase of both
Mst77F and Mst77Y transcripts in modulo mutant (SI Appendix,
PNAS 2023 Vol. 120 No. 16 e2220576120
https://doi.org/10.1073/pnas.2220576120 3 of 8
DAPI Prot A/B Mst77F
DAPI
Mst77F
Prot A/B
A
B
A′
A″
A‴
B′
B″
B‴
Control (mod 07570/+)
Mutant (mod L8/mod 07570)
G
DAPI Mst77Y
Basal
End
E
Basal
End
)
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mutant
modL8/mod 07570
D
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Fig. 2. Nuclear decompaction in modulo-mutant spermatids is associated with decreased incorporation of Mst77F and increased incorporation of Mst77Y.
(A and B) Representative images of late canoe-stage nuclei stained with DAPI (gray), anti-Prot A/B (cyan), and anti-Mst77F (magenta) in control (mod07570/+)
(A) and mutant (modL8/mod07570) (B) males. Split channel view of DAPI (A' and B'), anti-Mst77F (A'' and B''), and anti-Prot A/B (A''' and B''') in control (A) and mutant
(B) males. (C–F) Representative images of canoe-stage and needle-stage spermatids at the basal end of testis stained with DAPI (gray) and anti-Mst77Y (green)
in control (mod07570/+) (C and D) and mutant (modL8/mod07570) (E and F) males. Split channel view of anti-Mst77Y in control (D') and mutant (F') males. Dotted
lines outline the testis. (G) Proportion of canoe-stage cysts with nuclei positive for Mst77Y staining in mutant (modL8/mod07570) vs. control (mod07570/+) males.
*** indicates P ≤ 0.001 (unpaired Student’s t test assuming unequal variances) with n=10 testes in control and n=9 testes in mutant males from 2 independent
experiments. Exact P-values are listed SI Appendix, Table S1.
Fig. S9B). Furthermore, total RNA-Seq and qRT-PCR did not
detect any splicing defects of Mst77F or Mst77Y in modulo mutant
(SI Appendix, Fig. S10). Collectively, these results suggest that
Modulo specifically regulates transcripts of Mst77F and Mst77Y
at the step of polyadenylation.
Given that Modulo protein and Mst77F transcript colocalize in
the nucleolus, we speculate that Mst77F is directly regulated by
Modulo, whereas increased mRNA level of Mst77Y may be an indi-
rect consequence of reduced functional Mst77F mRNA. Interestingly,
RNA FISH using poly(T) probes revealed that poly(A) signal encir-
cles the nucleolus in wild-type spermatocytes, whereas markedly less
poly(A) was detected around the nucleolus in the modulo mutant
(Fig. 4 E and F), further suggesting that modulo may function to
facilitate polyadenylation of transcripts localized to the nucleolus.
Our findings are consistent with the known importance of polyade-
nylation to sperm-specific transcripts, such as protamines, which
must be translationally repressed for long periods(36–39). Taken
together, these results suggest that modulo plays an essential role in
sperm nuclear compaction by facilitating maturation of canonical
Mst77F transcript over that of Y-linked Mst77Y (Fig. 4G).
Discussion
The present study reveals a regulatory mechanism mediated by a
nucleolar protein Modulo that balances the expression of protamine
subtypes in D. melanogaster. This finding may represent a similar
theme to what is seen in the fragile balance of PRM1 and PRM2 in
mammalian fertility (2, 7, 24, 25). In the case of Mst77Y, Y-linked
4 of 8 https://doi.org/10.1073/pnas.2220576120
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UAS-
Mst77Y-12/+
(no driver)
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Mst77Y-3/+
2-Tub-
Mst77Y-12/+
n = 56 61 40
DAPI X Y
X (TAGA)
Y (AATAC)
F′
F″
Fig. 3. Mst77Y overexpression is sufficient to cause nuclear decompaction and causes biased decompaction of X chromosome-bearing spermatids.
(A–D) Representative images of needle-stage nuclei stained with DAPI (gray) showing normal morphology in control (y w) (A), decompaction phenotype in modulo-
mutant males (modL8/mod07570) (B), transgenic males expressing Mst77Y-3 (truncated copy) (C) or Mst77Y-12 (full-length copy) (D) driven by β2-tubulin promoter.
IF confirming overexpression shown in SI Appendix, Fig. S5 A–C. (E) Proportion of testes displaying decompaction phenotype in transgenic Mst77Y males. Control
(UAS–Mst77Y-12/+) does not express Mst77Y-12 due to the absence of driver. *** indicates P ≤ 0.001 (unpaired Student’s t test assuming unequal variance), ns
indicates P > 0.05, n = 56 testes in control, n = 61 testes in β2-tub–Mst77Y-3/+ condition, n = 40 in β2-tub–Mst77Y-12/+ condition from three independent experiments.
(F) Representative images of DNA Fluorescence in situ hybridization of decompacted spermatids in Mst77Y-3-expressing males using TAGA-Cy3 (magenta,
X-specific probe) (F') and AATAC-Cy5 (cyan, Y-specific probe) (F''). (G) Percentage of decompacted haploid nuclei containing X chromosome vs. Y chromosome in
Mst77Y-3-expressing males. *** indicates P(X ≥ 154) < 0.001 (exact binomial distribution) assuming P = 0.5 with n = 249 nuclei counted from three independent
experiments. Exact P-values listed in Table S1.
multicopy Mst77F homologs, our study suggests that they have the
ability to act as dominant-negative protamines and thus must be
carefully regulated/repressed. The present study also confirmed that
Mst77Y genes are expressed as proteins as suggested previously by
the finding that several of the copies contain complete open-reading
frames (21) and is also consistent with small RNA sequencing reveal-
ing that the Mst77Y locus is not a source of small RNAs (40).
We showed that overexpression of Mst77Y dominantly inter-
feres with Mst77F incorporation, leading to decompaction of
sperm nuclei and their demise. Mst77Y genes feature differences
from their autosomal homolog that further support the idea that
they are dominant-negative versions of Mst77F and interfere with
sperm chromatin compaction. Mst77Y-12, which retains the full
ORF of Mst77F (SI Appendix, Fig. S4), exhibits 87% overall
sequence homology to autosomal Mst77F. At the domain/motif
level, the MST-HMG-box domain, suggested to be important for
DNA binding (14), maintains 100% homology, while the
coiled-coil motif and C-terminal domain maintain only ~79.5%
and ~85% homology, respectively (SI Appendix, Fig. S6B). It has
been shown that the N-terminal domain of Mst77F, which con-
tains the coiled-coil motif, interacts with the C-terminal domain
to induce multimerization to mediate DNA compaction (41). The
changes to Mst77Y at important regions may thus influence the
multimerization of protamines and the formation of proper sperm
chromatin structure, by interfering with the ability of the canon-
ical version to multimerize. The notion that Mst77Y behaves as a
dominant-negative version of Mst77F is further supported by the
fact that overexpression of Mst77Y-3, a truncated version which
does not contain the C-terminal domain (SI Appendix, Fig. S6B),
is still sufficient to cause defects in nuclear compaction (Fig. 3C).
What is the potential “function” of dominant-negative pro-
tamines? We propose a few nonmutually exclusive possibilities.
First, dominant-negative protamines may participate in meiotic
drive, as suggested by recent works in D. simulans (15, 16) as well
as D. melanogaster (10). Indeed, our data suggest that Mst77Y has
the ability to disproportionally affect X-bearing spermatids. While
this did not result in a large sex ratio distortion in offspring
(SI Appendix, Fig. S8), this ability to harm a subset of developing
spermatids during postmeiotic development may indicate the pos-
sibility that these protamine variants could be exploited by a meiotic
drive system to unleash its own selfish purpose. Intriguingly, studies
on the Winters sex-ratio meiotic drive system in D. simulans
revealed that the driver, Dox, contains a large portion of the
Protamine gene (15, 16). While it has not been confirmed whether
this protamine-like region is essential for sex ratio distortion, the
derepression of Dox does seem to cause nuclear defects during sper-
miogenesis (42). We propose that a drive system that would be able
to localize a dominant-negative protamine such as Mst77Y to a
subset of spermatids containing one homolog over another could
be quite successful at achieving bias. Alternatively,
the
dominant-negative version of a protamine may be utilized when
spermatogenesis needs to be aborted (similar to the concept of
“programmed cell death”), for example under stress conditions. In
such a case, dominant-negative protamines (such as Mst77Y) can
be up-regulated to lead to abortive spermatogenesis. In such a sce-
nario, a dominant-negative protamine may have a beneficial func-
tion for the organism. Yet another possibility that may contribute
toward the rapid divergence of protamines is that protamine genes
evolve to optimally package the genome, which may be greatly
influenced by the composition of the most abundant sequences in
a given genome, i.e., repetitive DNA such as satellite DNA. As these
repetitive sequences are known to rapidly diverge across species
(43), protamine genes may have to adapt to accommodate diverged
repetitive DNA sequences, leading to rapid divergence and/or emer-
gence of multiple protamine genes to optimally package different
repetitive DNA with distinct structure/sequence. In such a scenario,
PNAS 2023 Vol. 120 No. 16 e2220576120
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F′
E″
F″
Modulo
AAAAA
Mst77F
Nucleolus
Mst77Y
AAAAA
Fig. 4. Modulo localizes to the nucleolus and functions to promote polyadenylation of Mst77F. (A and B) Localization of Modulo to the nucleolus in the apical tip
of the testis (A) and in the spermatocyte nuclei (B). Males expressing Modulotagged with Green fluorescent protein (gfp) at the C-terminus (yellow) stained with
anti-fibrillarin (magenta), a nucleolar marker, and DAPI (gray). Dotted lines outline the testis (A) and nucleus (B). (C) RNA FISH for Mst77F and Mst77Y transcripts in
wild-type spermatocyte nucleus. DAPI (gray), Modulo–gfp (yellow), Mst77F (magenta), and Mst77Y (cyan). Split channel view of Modulo-gfp (C'), Mst77F transcript
(C''), and Mst77Y transcript (C''') in spermatocytes. Dotted lines outline the nucleus. (D) qRT-PCR following polyA selection (dark gray) or using total RNA qRT-PCR
(light gray) in modulo-mutant males (modL8/mod07570) vs. sibling control males (mod07570/+) assessing levels of Mst77F (magenta) and Mst77Y (cyan). Data were
normalized to Rp49 and control. Mean ± SD from three technical replicates is shown. P-values are listed (unpaired Student’s t test assuming unequal variance
on untransformed ddct values). Similar results were obtained from two biological replicates. Primer locations are shown in SI Appendix, Fig. S11A. (E and F) RNA
FISH for polyA (magenta) and Mst77F transcript (cyan) in control (y w) (F) vs. modulo-mutant males (modL8/mod07570) (E), counterstained with DAPI (gray). Split
channel view of polyA-containing transcripts (E' and F') and Mst77F transcripts (E'' and F'') in control (E) and mutant males (F). Mst77F probe was used to identify
nucleolus. Yellow arrowhead indicates polyA-containing RNA-encircling nucleolus. (G) Model for Modulo function in the nucleolus.
fine-tuning the expression of different protamine genes may be
critical. Additionally, if any protamine genes have evolved to opti-
mally package certain satellite DNA, conversion of such protamine
into a dominant-negative version can immediately target the chro-
mosome that harbors the given satellite DNA, leading to meiotic
drive that selectively harms the specific chromosome. This possibility
6 of 8 https://doi.org/10.1073/pnas.2220576120
pnas.org
is intriguing as the Segregation Distorter (SD) meiotic drive system
in D. melanogaster is known to target Responder satellite DNA
repeats (44–46) and exhibits sperm nuclei decompaction similar to
what is observed in this study (30). The possibility that dominant-
negative protamines are involved in the decompaction of spermatid
nuclei in the SD drive system remains to be studied.
Taken together, our study identified a mechanism by which var-
ious protamine variants are coordinately regulated at the posttran-
scriptional level, possibly to achieve balanced expression of multiple
protamine variants. A similar mechanism may be at play to fine-tune
the expression levels of protamine variants in human and mouse,
disruption of which is associated with compromised fertility.
Methods
Fly Husbandry and Strains. All fly stocks were raised on standard Bloomington
medium at 25 °C, and young flies (1- to 3-d-old adults) were used for all exper-
iments unless otherwise specified. Flies used for wild-type experiments were
the standard laboratory wild-type strain y w (y1w1). The following fly stocks were
used: modulo07570/TM3 [Bloomington Drosophila Stock Center (BDSC): 11795],
moduloL8/TM3 (BDSC: 38432), and C(1)RM/C(1;Y)6, y1w1f1/0 (BDSC: 9460). The
β2-tubulin promoter sequence used for producing Mst77Y overexpression was
generously provided by Peiwei Chen and Alexei Aravin.
The Mst77Y transgenic flies were generated by phiC31 site–directed integra-
tion into the Drosophila genome. For UAS–Mst77Y-12, β2-tubulin–Mst77Y-3, and
β2-tubulin–Mst77Y-12 transgenic lines, the Mst77Y overexpression sequences in
D. melanogaster were synthesized by gene synthesis service from Thermo Fisher
Scientific (GeneArt Gene Synthesis) and were cloned into pattB vector to insert into
specific integration site on second chromosome (attP40) (SI Appendix, Fig. S5C and
Table S2). All injection and selection of flies containing integrated transgene were
performed by BestGene Inc. Because UAS–Mst77Y-12 transgene was injected to
the same host fly strain as β2-tubulin–Mst77Y-3, and β2-tubulin–Mst77Y-12 trans-
genic lines, we used this (without gal4 driver) as a “background-matched control.”
Modulo–gfp strain was constructed using CRISPR-mediated knock-in of a
Green fluorescent protein (gfp)-tag at the C terminus of Modulo (Beijing Fungene
Biotechnology Co.) (SI Appendix, Table S3).
Sex Ratio Assay. Individual 1-d-old males raised for at least one generation at
18 °C were crossed with 3× 1- to 3-d-old virgin y w females at 25 °C. After 1 d,
males were removed. This was done to maximize the proportion of males exhib-
iting decompaction phenotype described in Fig. 3. Females were left to produce
embryos for a total of 5 d before cleared. Following the onset of eclosion, sex of
offspring was scored for 10 consecutive days.
RNA Fluorescent In Situ Hybridization. All solutions used were Rnase free.
Testes from 1- to 3-d-old flies were dissected in 1X phosphate buffered saline
(PBS) and fixed in 4% formaldehyde in 1X PBS for 30 min. Then, the testes were
washed briefly in PBS and permeabilized in 70% ethanol overnight at 4 °C. For
strains expressing gfp (i.e., Modulo–gfp), the overnight permeabilization in 70%
ethanol was omitted. The testes were briefly rinsed with wash buffer (2X saline-so-
dium citrate (SSC), 10% formamide) and then hybridized overnight at 37 °C with
fluorescently labeled probes in hybridization buffer [2X SSC, 10% dextran sulfate
(sigma, D8906), 1 mg/mL E. coli transfer RNA (sigma, R8759), 2 mM vanadyl
ribonucleoside complex (NEB S142), 0.5% Bovine serum albumin (BSA) (Ambion,
AM2618), 10% formamide]. Following hybridization, samples were washed two
times in wash buffer for 30 min each at 37 °C and mounted in VECTASHIELD
with DAPI (Vector Labs).
Fluorescently labeled probes were added to the hybridization buffer to a final
concentration of 100 nM. Poly(T) probes for recognizing Poly(A) sequence were
from Integrated DNA Technologies. Probes against Mst77F and Mst77Y were
designed using the Stellaris1 RNA FISH Probe Designer (Biosearch Technologies,
Inc.) available online at www.biosearchtech.com/stellarisdesigner. Each set of
custom Stellaris1 RNA FISH probes was labeled with Quasar 670 or Quasar 570
(SI Appendix, Table S4).
Images were acquired using an upright Leica TCS SP8 confocal microscope
with a 63× oil immersion objective lens (NA = 1.4) and processed using Adobe
Photoshop and ImageJ software.
DNA Fluorescence In Situ Hybridization. Testes from 1- to 3-d-old flies were
rapidly dissected in 4% formaldehyde and 1mM Ethylenediaminetetraacetic acid
(EDTA) in 1X PBS and then nutated for 30 min. Then, the testes were washed
three times in 1X PBS containing 0.1% Triton-X (PBST) +1 mM EDTA for 30 min
each. The testes were briefly rinsed with 1X PBST and then incubated at 37 °C for
10 min with 2 mg/mL Rnase A in PBST. Following Rnase treatment, samples
were washed once in 1X PBST + 1 mM EDTA for 10 min. The samples were then
briefly rinsed with 2X SSC + 1 mM EDTA + 0.1% Tween-20, and then washed
three times in 2X SSC + 0.1% Tween-20 + formamide (20% for first wash, 40%
for second, 50% for third) for 15 min each. The samples were then washed with
2X SSC + 0.1% Tween-20 + 50% formamide for 30 min. The samples were then
incubated for 5 min at 95 °C with fluorescently labeled probes in hybridization
buffer (2X SSC, 10% dextran sulfate, 50% formamide, 1 mM EDTA) and then
transferred to 37 °C overnight. Following hybridization, the samples were washed
three times in 2X SSC + 1 mM EDTA + 0.1% Tween-20 for 20 min each and then
mounted in VECTASHIELD with DAPI (Vector Labs).
Fluorescently labeled probes were added to the hybridization buffer to
a final concentration of 500 nM. Satellite DNA probes distinguishing X and Y
chromosomes (AATAC)6-Cy5 for Y and (TAGA)8-Cy3 were from Integrated DNA
Technologies.
IF Staining. Testes were dissected in 1X PBS, transferred to 4% formaldehyde
in 1X PBS, and fixed for 30 min. The testes were then washed three times in 1X
PBST for 20 min each followed by incubation with primary antibodies diluted in
1X PBST with 3% BSA at 4 °C overnight. Samples were washed three times in 1X
PBST for 20 min each and incubated with secondary antibody in 1X PBST with 3%
BSA for 2 h at room temperature. The samples were then washed three times in
1X PBST for 20 min each and mounted in VECTASHIELD with DAPI (Vector Labs).
The following primary antibodies were used: anti-fibrillarin (1:200, mouse;
Abcam; ab5812), anti-Modulo (1:1,000, guinea pig; this study), anti-protamine
A/B [1:200, guinea pig, gift of Elaine Dunleavy, Centre for Chromosome Biology,
National University of Ireland, Galway, Ireland (47), anti-dsDNA (1:500; mouse,;
Abcam; ab27156), anti-histone H3 (1:200, rabbit; Abcam; ab1791), anti-Mst77F
(1:1,000; guinea pig, this study), anti-Mst77Y (1:500; rabbit, this study), anti-Tpl94D
(1:500; rabbit, this study), and phalloidin-Alexa Fluor 546 or 488 (1:200; Thermo
Fisher Scientific; A22283 or A12379). The Modulo antibody was generated by
injecting a peptide sequence CRKQPVKEVPQFSEED[48-62] targeting the N-terminal
end of Modulo in guinea pigs (Covance). The Tpl94D antibody was generated by
injecting a peptide DKGSAYKPLTLNRSYVIRKC[96-114] in rabbits (Covance). The
Mst77F antibody was generated by injecting multiple peptides (SKPEVAVTC[9-16],
YKKSIEYVNC[22-30], CRSSEGEHR[112-119],
LQRSSEGEHRMHSEC[110-123],
RSSGKPKPKGARPRKC[169-183]) targeting sites in Mst77F, as indicated, differen-
tiating it from Mst77Y in guinea pigs (Covance). The Mst77Y antibody was gen-
erated by injecting multiple peptides (IKPDVAVSC[9-16], SRKAIEYVKC[22-30],
CRSIEAELR[112-119], KTSRKAIEYVKSD[20-32], CVSSLQRSIEAELR[107-119]) target-
ing sites of varying aa length in Mst77Y, differentiating it from Mst77F in rabbits
(Covance). Alexa Fluor–conjugated secondary antibodies (Life Technologies) were
used at a dilution of 1:200.
qRT-PCR. Total RNA was purified from D. melanogaster adult testes (75 pairs/sam-
ple) by Direct-zol RNA Miniprep (Zymo Research), with DNase treatment according
to manufacturer’s protocol. One microgram total RNA was reverse transcribed
following priming with either random hexamers or polyT using SuperScript III®
Reverse Transcriptase (Invitrogen) followed by qPCR using Power SYBR Green rea-
gent (Applied Biosystems). Primers for qPCR were designed to amplify mRNA or
intron-containing transcript as indicated. Relative expression levels were normal-
ized to Rp49 and control siblings. All reactions were done in technical triplicates
with at least two biological replicates. Graphical representation was inclusive of all
replicates and P-values were calculated using a t test performed on untransformed
average ddct values. Primers used are described in SI Appendix, Fig. S11 A and B.
Total RNA-Seq. Total RNA was purified from D. melanogaster adult testes by
Direct-zol RNA Miniprep (Zymo Research), with Dnase treatment. Quality of the
indexed libraries was confirmed using an Agilent Fragment Analyzer and qPCR.
Sequencing libraries were prepared with the KAPA RNA HyperPrep Kit with
RiboErase. Samples were sequenced on a HiSeq 2500, producing 100 × 100
nt paired-end reads. The read pairs were mapped to the canonical chromosomes
of the D. melanogaster genome (assembly BDGP6/dm6) using STAR 2.7.1a (48);
PNAS 2023 Vol. 120 No. 16 e2220576120
https://doi.org/10.1073/pnas.2220576120 7 of 8
default parameters, except “—alignIntronMax 25000,” indexed with all FlyBase
genes (FB2020_06 Dmel Release 6.37) and the option “—sjdbOverhang 100.”
Gene counts were obtained using featureCounts (49); v 2.0.1, with “-M –fraction
-p -s 2.” After summing gene counts for technical replicates, differential expres-
sion was assayed using DESeq2 v1.26.0 (50), with lfcShrink(type=”ashr”)). RNA
coverage across genes at nucleotide resolution was quantified with “bedtools
coverage” (51) and scaled by the total number of reads mapped to genes.
All the statistical details of the experiments are provided in the main text and leg-
ends. P-values are listed either in figure, figure legends, or SI Appendix, Table S1.
Data, Materials, and Software Availability. Sequencing data is available at
National Center for Biotechnology Information Gene Expression Omnibus under
accession GSE214456 (52). All other data are included in the manuscript and/
or SI Appendix.
Statistics and Reproducibility. Data are presented as mean ± SD unless oth-
erwise indicated. The sample number (n) indicates the number of testes, nuclei,
or male flies in each experiment as specified in the figure legends. We utilized
two-sided Student’s t test to compare paired or independent samples, as applica-
ble and is specified in the figure legends. We calculated probability using exact
binomial distribution with parameters specified in Fig. 3G legend. No statistical
methods were used to predetermine sample sizes. The experimenters were not
blinded to the experimental conditions, and no randomization was performed.
ACKNOWLEDGMENTS. We thank the Bloomington Drosophila Stock Center and
Dr. Elaine Dunleavy for reagents. We thank the Data Science, Bioinformatics, and
Informatics Core at the University of Michigan for consulting and Dr. Bing Ye for
advice and support. We thank the Yamashita, Lehmann, and Ye lab members,
Drs. Daven Presgraves and Eric Lai for discussions, and Yamashita Lab members
for comments on the manuscript. The research was supported by the Eunice
Kennedy Shriver Institute of Child Health and Development of the NIH (to J.I.P.,
F30HD105324), HHMI (to Y.M.Y.), and Whitehead Institute for Biological Research.
1.
2.
3.
4.
5.
6.
7.
8.
9.
C. Rathke et al., Transition from a nucleosome-based to a protamine-based chromatin configuration
during spermiogenesis in Drosophila. J. Cell Sci. 120, 1689–1700 (2007).
D. T. Carrell, B. R. Emery, S. Hammoud, Altered protamine expression and diminished
spermatogenesis: What is the link? Hum. Reprod. Update 13, 313–327 (2007).
C. Rathke, W. M. Baarends, S. Awe, R. Renkawitz-Pohl, Chromatin dynamics during spermiogenesis.
Biochim. Biophys. Acta (BBA) - Gene Regul. Mechanisms 1839, 155–168 (2014).
R. Balhorn, The protamine family of sperm nuclear proteins. Genome Biol. 8, 227 (2007).
R. Oliva, Protamines and male infertility. Hum. Reprod. Update 12, 417–435 (2006).
C. Cho et al., Protamine 2 deficiency leads to sperm DNA damage and embryo death in Mice1. Biol.
Reprod. 69, 211–217 (2003).
C. Cho et al., Haploinsufficiency of protamine-1 or -2 causes infertility in mice. Nat. Genet. 28, 82–86
(2001).
D. Miller, M. Brinkworth, D. Iles, Paternal DNA packaging in spermatozoa: More than the sum of its
parts? DNA, histones, protamines and epigenetics. Reproduction 139, 287–301 (2010).
L. Lüke, A. Vicens, M. Tourmente, E. R. S. Roldan, Evolution of protamine genes and changes in
sperm head phenotype in Rodents1. Biol. Reprod. 90, 67 (2014).
28. K. Abdelmohsen, M. Gorospe, RNA-binding protein nucleolin in disease. RNA Biol. 9, 799–808
(2012).
29. D. H. Castrillon et al., Toward a molecular genetic analysis of spermatogenesis in Drosophila
melanogaster: Characterization of male-sterile mutants generated by single P element
mutagenesis. Genetics 135, 489–505 (1993).
30. M. Herbette et al., Distinct spermiogenic phenotypes underlie sperm elimination in the Segregation
Distorter meiotic drive system. PLoS Genet. 17, e1009662 (2021).
31. J. D. Lewis et al., Histone H1 and the origin of protamines. Proc. Natl. Acad. Sci. U.S.A. 101,
4148–4152 (2004).
32. B. Barckmann et al., Three levels of regulation lead to protamine and Mst77F expression in
Drosophila. Dev. Biol. 377, 33–45 (2013).
33. F. Michiels, D. Buttgereit, R. Renkawitz-Pohl, An 18-bp element in the 5’ untranslated region of
the Drosophila beta 2 tubulin mRNA regulates the mRNA level during postmeiotic stages of
spermatogenesis. Eur. J. Cell Biol. 62, 66–74 (1993).
34. F. Michiels, A. Gasch, B. Kaltschmidt, R. Renkawitz-Pohl, A 14 bp promoter element directs the testis
specificity of the Drosophila beta 2 tubulin gene. EMBO J. 8, 1559–1565 (1989).
10. C.-H. Chang, I. Mejia Natividad, H. S. Malik, Expansion and loss of sperm nuclear basic protein genes in
Drosophila correspond with genetic conflicts between sex chromosomes. Elife 12, e85249 (2023).
11. W.-M. Maier, G. Nussbaum, L. Domenjoud, U. Klemm, W. Engel, The lack of protamine 2 (P2) in boar and
bull spermatozoa is due to mutations within the P2 gene. Nucleic Acids Res. 18, 1249–1254 (1990).
35. R. E. Braun, J. J. Peschon, R. R. Behringer, R. L. Brinster, R. D. Palmiter, Protamine 3’-untranslated
sequences regulate temporal translational control and subcellular localization of growth hormone
in spermatids of transgenic mice. Genes Dev. 3, 793–802 (1989).
36. D. Elliott, Pathways of post-transcriptional gene regulation in mammalian germ cell development.
12. S. Tirmarche et al., Drosophila protamine-like Mst35ba and Mst35bb are required for proper
Cytogenet. Genome Res. 103, 210–216 (2003).
sperm nuclear morphology but are dispensable for male fertility. G3: Genes, Genomes, Genetics 4,
2241–2245 (2014).
37. G. Dreyf, Structure and function of nuclear and cytoplasmic ribonucleoprotein particles. Annu. Rev.
Cell Biol. 2, 459–498 (1986).
13. S. Jayaramaiah Raja, R. Renkawitz-Pohl, Replacement by Drosophila melanogaster Protamines and
38. S. Ozturk, F. Uysal, Potential roles of the poly(A)-binding proteins in translational regulation during
Mst77F of histones during chromatin condensation in late spermatids and role of sesame in the
removal of these proteins from the male pronucleus. Mol. Cell Biol. 25, 6165–6177 (2005).
spermatogenesis. J. Reprod. Dev. 64, 289–296 (2018).
39. H. K. Kini, M. R. Vishnu, S. A. Liebhaber, Too much PABP, too little translation. J. Clin. Invest. 120,
14. C. M. Doyen et al., A testis-specific chaperone and the chromatin remodeler ISWI mediate
3090–3093 (2010).
repackaging of the paternal genome. Cell Rep. 13, 1310–1318 (2015).
40. P. Chen et al., piRNA-mediated gene regulation and adaptation to sex-specific transposon
15. C. A. Muirhead, D. C. Presgraves, Satellite DNA-mediated diversification of a sex-ratio meiotic drive
expression in D. melanogaster male germline. Genes. Dev. 35, 914–935 (2021).
gene family in Drosophila. Nat. Ecol. Evol. 5, 1604–1612 (2021).
41. N. Kost et al., Multimerization of Drosophila sperm protein Mst77F causes a unique condensed
16. J. Vedanayagam, C. J. Lin, E. C. Lai, Rapid evolutionary dynamics of an expanding family of meiotic
chromatin structure. Nucleic Acids Res. 43, 3033–3045 (2015).
drive factors and their hpRNA suppressors. Nat. Ecol. Evol. 5, 1613–1623 (2021).
42. Y. Tao, J. P. Masly, L. Araripe, Y. Ke, D. L. Hartl, A sex-ratio meiotic drive System in Drosophila simulans
17. C. Rathke et al., Distinct functions of Mst77F and protamines in nuclear shaping and chromatin
condensation during Drosophila spermiogenesis. Eur. J. Cell Biol. 89, 326–338 (2010).
18. S. Kimura, B. Loppin, The Drosophila chromosomal protein Mst77F is processed to generate an
I: An Autosomal Suppressor. PLoS Biol. 5, e292 (2007).
43. M. Jagannathan, Y. M. Yamashita, Function of Junk: Pericentromeric satellite DNA in chromosome
maintenance. Cold Spring Harb. Symp. Quant. Biol. 82, 319–327 (2017).
essential component of mature sperm chromatin. Open Biol. 6, 160207 (2016).
44. A. M. Larracuente, The organization and evolution of the Responder satellite in species of the
19. Z. Eren-Ghiani, C. Rathke, I. Theofel, R. Renkawitz-Pohl, Prtl99C acts together with protamines and
safeguards male fertility in drosophila. Cell Rep. 13, 2327–2335 (2015).
20. F. J. Krsticevic, C. G. Schrago, A. B. Carvalho, Long-read single molecule sequencing to resolve
tandem gene copies: The Mst77Y region on the drosophila melanogaster Y chromosome. G3:
Genes, Genomes, Genetics 5, 1145–1150 (2015).
Drosophila melanogaster group: dynamic evolution of a target of meiotic drive. BMC Evol. Biol. 14,
233 (2014).
45. K. Houtchens, T. W. Lyttle, Responder (Rsp) alleles in the segregation distorter (SD) system of meiotic
drive in Drosophila may represent a complex family of satellite repeat sequences. Genetica 117,
291–302 (2003).
21. F. J. Krsticevic, H. L. Santos, S. Januário, C. G. Schrago, A. B. Carvalho, Functional copies of the
46. Y. Hiraizumi, L. Sandler, J. F. Crow, Meiotic drive in natural populations of Drosophila
Mst77F gene on the Y chromosome of Drosophila melanogaster. Genetics 184, 295–307 (2010).
22. M. Corzett, J. Mazrimas, R. Balhorn, Protamine 1: Protamine 2 stoichiometry in the sperm of
eutherian mammals. Mol. Reprod. Dev. 61, 519–527 (2002).
23. S. Hammoud, L. Liu, D. T. Carrell, Protamine ratio and the level of histone retention in sperm
selected from a density gradient preparation. Andrologia 41, 88–94 (2009).
24. K. Steger et al., Both protamine-1 to protamine-2 mRNA ratio and Bcl2 mRNA content in testicular
spermatids and ejaculated spermatozoa discriminate between fertile and infertile men. Hum.
Reprod. 23, 11–16 (2007).
melanogaster. III. Populational implications of the Segregation-Distorter Locus. Evolution (N Y)
14, 433 (1960).
47. W. K. Mills, Y. C. G. Lee, A. M. Kochendoerfer, E. M. Dunleavy, G. H. Karpen, RNA from a simple-
tandem repeat is required for sperm maturation and male fertility in Drosophila melanogaster. Elife
8, e48940 (2019).
48. A. Dobin et al., STAR: Ultrafast universal RNA-seq aligner. Bioinformatics 29, 15–21 (2013).
49. Y. Liao, G. K. Smyth, W. Shi, featureCounts: An efficient general purpose program for assigning
sequence reads to genomic features. Bioinformatics 30, 923–930 (2014).
25. S. Amjad et al., Protamine 1/Protamine 2 mRNA ratio in nonobstructive azoospermic patients.
50. M. I. Love, W. Huber, S. Anders, Moderated estimation of fold change and dispersion for RNA-seq
Andrologia 53, e13936 (2021).
data with DESeq2. Genome Biol. 15, 550 (2014).
26. V. W. Aoki, L. Liu, D. T. Carrell, Identification and evaluation of a novel sperm protamine abnormality
51. A. R. Quinlan, I. M. Hall, BEDTools: A flexible suite of utilities for comparing genomic features.
in a population of infertile males. Hum. Reprod. 20, 1298–1306 (2005).
Bioinformatics 26, 841–842 (2010).
27. L. M. Mikhaylova, A. M. Boutanaev, D. I. Nurminsky, Transcriptional regulation by Modulo integrates
52. J. I. Park, G. W. Bell, Y. M. Yamashita, Total RNA-seq in the modulo mutant reveals broad changes
meiosis and spermatid differentiation in male germ line. Proc. Natl. Acad. Sci. U.S.A. 103,
11975–11980 (2006).
to the transcriptome. Gene Expression Omnibus. https://www.ncbi.nlm.nih.gov/geo/query/acc.
cgi?acc=GSE214456. Deposited 29 September 2022.
8 of 8 https://doi.org/10.1073/pnas.2220576120
pnas.org
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10.1088_1748-3190_ad00a2.pdf
|
Data availability statement
All data that support the findings of this study are
included within the article (and any supplementary
files).
|
Data availability statement All data that support the findings of this study are included within the article (and any supplementary files).
|
RECEIVED
15 May 2023
REVISED
21 September 2023
ACCEPTED FOR PUBLICATION
5 October 2023
PUBLISHED
30 October 2023
Bioinspir. Biomim. 18 (2023) 066016
https://doi.org/10.1088/1748-3190/ad00a2
PAPER
Exploring storm petrel pattering and sea-anchoring using deep
reinforcement learning
Jiaqi Xue1,2,3,6, Fei Han1,2,6, Brett Klaassen van Oorschot4, Glenna Clifton5 and Dixia Fan1,2,∗
1 Key Laboratory of Coastal Environment and Resources of Zhejiang Province, School of Engineering, Westlake University, Hangzhou,
Zhejiang 310030, People’s Republic of China
2 School of Engineering, Westlake University, Hangzhou, Zhejiang 310024, People’s Republic of China
3 Walker Department of Mechanical Engineering, University of Texas at Austin, Austin, TX, United States of America
4 Biomimetics Lab, Experimental Zoology Group, Wageningen University, Wageningen, The Netherlands
5 Department of Biology, University of Portland, Portland, OR, United States of America
6 Equally contributed first authors.
∗
Author to whom any correspondence should be addressed.
E-mail: fandixia@westlake.edu.cn
Keywords: storm petrel, locomotory behaviors, deep reinforcement learning
Supplementary material for this article is available online
Abstract
Developing hybrid aerial-aquatic vehicles that can interact with water surfaces while remaining
aloft is valuable for various tasks, including ecological monitoring, water quality sampling, and
search and rescue operations. Storm petrels are a group of pelagic seabirds that exhibit a unique
locomotion pattern known as ‘pattering’ or ‘sea-anchoring,’ which is hypothesized to support
forward locomotion and/or stationary posture at the water surface. In this study, we use
morphological measurements of three storm petrel species and aero/hydrodynamic models to
develop a computational storm petrel model and interact it with a hybrid fluid environment. Using
deep reinforcement learning algorithms, we find that the storm petrel model exhibits high
maneuverability and stability under a wide range of constant wind velocities after training. We also
verify in the simulation that the storm petrel can use its ‘pattering’ or ‘sea-anchoring’ behavior to
achieve different biomechanical sub-tasks (e.g. weight support, forward locomotion, stabilization)
and adapt it under different wind speeds and optimization objectives. Specifically, we observe an
adjustment in storm petrel’s movement patterns as wind velocity increases and quantitively analyze
its biomechanics underneath. Our results provide new insights into how storm petrels achieve
efficient locomotion and dynamic stability at the air–water interface and adapt their behaviors to
different wind velocities and tasks in open environments. Ultimately, our study will guide the
design of next-generation biomimetic petrel-inspired robots for tasks requiring proximity to the
water interface and efficiency.
1. Introduction
Increasing attention from both academia and
industry has been put on water quality sampling [1],
ecological monitoring [2], and water search and res-
cue operations [3], especially in open and unexplored
environments. Aerial-aquatic vehicles that can inter-
act with the water’s surface while remaining aloft can
be useful in these tasks [1, 3, 4]. However, thus far, no
promising aerial-aquatic vehicle has been developed
due to the challenge of maintaining equilibrium on
yielding fluid surfaces and the unpredictable disturb-
ances of the open ocean.
Animals, on the other hand, have evolved a few
ways to achieve aerial-aquatic locomotion that over-
come these problems [5–9]. Some very small anim-
als, such as water striders (Gerridae spp.), benefit from
a low weight-to-volume ratio and can use surface
tension to remain above water [10]. However, lar-
ger animals must either wholly jump between the
two media (such as flying fish [11]) or paddle an
appendage in the water to prevent the body from
© 2023 IOP Publishing Ltd
Bioinspir. Biomim. 18 (2023) 066016
J Xue et al
submerging (such as basilisk lizards, grebes, and
dolphins [6]). A lesser-known example of air–water
interface locomotion occurs when some species of
storm petrels repetitively slap their feet against the
surface of the water to either jump around or stay
stationary. These behaviors are called ‘pattering’ or
‘sea-anchoring’, respectively [12]. The functions of
these behaviors have been disputed and hypothesized
to either ‘anchor’ the bird in place against incom-
ing winds [13, 14], exploit ground effect and hydro-
dynamic forces to support its weight, or provide for-
ward thrust. Not all species of storm petrel have been
observed pattering/sea-anchoring, with larger species
and those with relatively longer tarsi exhibiting more
pattering/sea-anchoring behavior [12].
Pattering and sea-anchoring are challenging to
study in situ due to the unpredictable nature of
these behaviors and their occurrence within harsh
pelagic environments. Therefore, most descriptions
result from personal accounts or recordings that
cannot quantify three-dimensional movements [14].
Pattering/sea-anchoring also cannot be studied in
a lab setting as storm petrels normally travel over
large oceanic areas and require natural environ-
ments to induce these foraging behaviors. The first
theoretical attempt at understanding pattering/sea-
anchoring behavior was from a mathematical per-
spective and used static models. It suggested that
the drag forces produced by the feet may be feas-
ible for an ‘anchoring’ function of the behavior [13].
The lack of further research on these behaviors could
be attributed to the high dimensionality and non-
linearity of fluid and storm petrel dynamics, which
is difficult to capture with steady or static mod-
els. To account for the complexity and variability
in this system, we build a reduced-order computa-
tional model based on the anatomy and biomechan-
ics of storm petrels and the fundamental principles
of hydrodynamics and aerodynamics under quasi-
steady assumptions. Built upon that, we use artifi-
cial intelligence (AI), specifically deep reinforcement
learning (DRL) algorithms, to help the storm pet-
rel learn the pattering/sea-anchoring behavior under
generic reward and environment conditions.
DRL algorithms, such as the deep deterministic
policy gradient (DDPG) algorithm [15], are a type
of model-free reinforcement learning method [16].
These algorithms combine deep neural networks with
reinforcement learning techniques to enable agents
to learn from their interactions with an environment
and make decisions based on their observations [17,
18]. DRL algorithms have emerged as powerful tools
for tackling complex systems and problems [19, 20]
and have demonstrated superior performance com-
pared to traditional approaches, mainly when dealing
with high-dimensional or uncertain environments
[15]. In particular, the DDPG algorithm has been
successful in tasks involving dynamic tracking for
soft robots [21], or faster and efficient locomotion in
2
quadrupedal systems [22]. These examples demon-
strate the potential of model-free DRL, specifically the
DDPG algorithm, to tackle complex problems in vari-
ous applications and highlight its ability to outper-
form traditional approaches in specific scenarios.
Accordingly, the goal of this paper is to develop an
integrated simulation framework, including a com-
putational storm petrel model, a quasi-steady fluid
environment, and a model-free DRL agent, that
enables the storm petrel model to learn how to inter-
act with the dynamic environment spontaneously
and produce biologically similar locomotory behavi-
ors to storm petrels in nature (i.e. pattering and/or
sea-anchoring). This paper will also investigate the
biomechanical implications of these behaviors and
explore how storm petrels adapt their behaviors and
performance under varying objectives and environ-
mental conditions, such as wind speeds.
2. Materials and methods
To systematically model the interaction between the
biological system (i.e. the storm petrel) and the
air/water fluid environment, we require some basic
information: (1) the storm petrel’s morphological
and kinematic constraints (see tables 1 and 2, respect-
ively), and (2) the aerodynamic and hydrodynamic
forces acting on the petrel. We then use a model-
free reinforcement learning algorithm to recreate the
locomotory behavior of storm petrels.
2.1. Simplified model of storm petrels
2.1.1. Anatomy
The bird’s anatomy (see figure 1) is approximated
using parametric geometries based on first-hand ana-
tomical measurements of three storm petrel speci-
mens (Oceanites oceanicus, Oceanodroma furcata, and
Oceanodroma leucorhoa) available at the University
of Washington Burke Museum of Natural History
(Seattle, WA, USA). These measurements can be
found in appendix A.
The trunk and head of the storm petrel are
approximated as a single ellipsoid with a uniform
prolate spheroidal cross-section, which is referred as
‘body’ in the following paper. The semi-major axis
length, a, relates to the body length of the storm pet-
rel, while the semi-minor axis length, b, corresponds
to the body width, shown in figures 1(A) and (B)
as a dashed ellipse. The projected body areas along
the x and y directions, Sx and Sy, are calculated as
Sx = π b2 and Sy = π ab. The tail and the wings are
modeled as thin plates with trapezoidal and rect-
angular shapes, respectively. The legs of the storm
petrel are comprised of the femur, tibiotarsus, tar-
sometatarsus, and foot, which are demonstrated in
figure 1(B). The femur is neglected in this simpli-
fied model since the hip demonstrates only minor
flexion/extension movements in running [23] and
hopping [24] birds. The leg segments distal to the
Bioinspir. Biomim. 18 (2023) 066016
J Xue et al
Figure 1. Model extraction of storm petrels. Presuming a symmetrical body structure of the storm petrel, we define the model’s
anatomical and kinematic parameters based on a single side. (A) Bottom view: simplification to parametric geometries from the
frozen specimen of storm petrels, and the definition of the flapping and pitching axis of the wings and the pitching axis of the tail;
(B) Side view: the anatomical definitions on storm petrel’s skeleton and degree of freedom (DoF) definitions of all controllable
joints except for the wing flapping joint, which is isolated and demonstrated in (C). The black circle-dot symbol denotes the
location of each joint and its rotation axis. The light-grey arrow line indicates the reference axes (zero rotation) for each DoF.
(C) Front view of the extracted model: Illustration of the flapping DoF of the wings.
Table 1. Dimensions of the simplified storm petrel model.
Table 2. Kinematic constraints at each joint.
Body (ellipsoid)
Semi-major axis (a)
Semi-minor axis (b)
Aspect ratio
Wings (rectangle)
Span (s)
Chord (c)
Maximum camber
Aspect ratio
Legs (Columns)
Tibiotarsus (L1)
Tarsometatarsus (L2)
Leg radius
Webs (Sectors)
Length (L3)
Web angle (ε)
Tail (Trapezoid)
Root width (w1)
Tip width (w2)
Length (t)
Value
72 mm
25 mm
2.6
Value
190 mm
52.6 mm
5 mm
3.04
Value
40 mm
35 mm
2 mm
Value
25 mm
50◦
Value
30 mm
70 mm
65 mm
femur are modeled as solid columns. The metatars-
als (i.e. digits) were combined with the foot’s web
and were thus modeled as a single thin plate with a
sector shape. The sector angle is estimated to be 50◦
3
Joint
Wing Pitching
Wing Flapping
Tail Pitching
Knee
Ankle
Metatarsal
Range of
motion (degree)
Max.velocity
(ms−1)
[−10, 50]
[−60, 30]
[−30, 30]
[−75, −30]
[0, 135]
[−45, 45]
15
20
15
25
70
20
based on the maximum intersection angle of meta-
tarsal bones measurement. The dimensions of these
simplified parametric geometries are summarized in
table 1 and illustrated in figure 1(A).
2.1.2. Kinematics
Flapping and hopping in birds are complex kin-
ematic behaviors comprising many degrees of free-
dom (DoF) at the base, within the wings and tail,
and at each hindlimb (leg) joint. Here, we gener-
ate a nine DoF kinematic model based on frame-by-
frame analysis of open-source videos [25] and ana-
tomical analysis of specimens. Specifically, we model
wing pitching and flapping, tail pitching, and flexion/
extension at the knee, intertarsal ‘ankle’, and metatar-
sophalangeal (or metatarsal) joints, shown in figure 1.
To estimate the leg joints’ maximum angular excur-
sions and velocities, we analyze the approximately
two-dimensional joint motion for a storm petrel over
Bioinspir. Biomim. 18 (2023) 066016
J Xue et al
Figure 2. Estimation of joint kinematics from video of a pattering storm petrel. (A-1)–(A-3) show the initial pose (landing) of the
storm petrel before it immerses its legs and strikes backward, while (B-1)–(B-3) exhibit the finishing pose (takeoff) after each leg
2, and αf
1, αf
strike. αs
stand for these joint angles at the takeoff phase. Still frame images courtesy of the Macaulay Library at the Cornell Lab of
Ornithology, ML201429031. Reproduced with permission from [25]. [© Josep del Hoyo].
3 represent the knee, ankle, and metatarsal joint angle at the landing phase, respectively, while αf
2, and αs
1, αs
3
several strides and wing beats, shown in figure 2 cap-
turing the initial (landing) and finishing (takeoff)
phase of the pattering behavior.
2.2. Calculation of fluid forces
The storm petrel model interacts with a complex
fluid environment, which we quantify through aero-
dynamic and hydrodynamic forces exerted on the
bird’s body components. The models are based on
quasi-steady assumptions using coefficients and cor-
recting factors from experimental data from previ-
ous literature [26–31]. These quasi-steady assump-
tions are a potential source of error in our models, but
since our focus here is on the integration of the bird,
hybrid fluid environment, and the RL framework, a
fully resolved unsteady fluid dynamic model is bey-
ond the scope of this study.
As demonstrated in figure 3, we define the free-
stream (absolute) wind velocity, U∞, as constant and
always in the horizontal direction (negative x-axis).
With non-zero local wind velocities, aerodynamics
will exert drag or/and lift on the storm petrel’s body,
wings, and tail. Lift, L, is defined herein as the force
perpendicular to the local wind velocity, while drag,
D, is the force parallel to the local velocity.
Although we will distinguish the pattering
and sea-anchoring behavior in the next section
(section 2.3) due to their different presumed goals,
4
we intend not to model the fluid dynamics separ-
ately for these two behaviors in this initial study until
more kinematics data are available, where these two
behaviors are currently assumed the same kinematic
constraints in the modeling.
2.2.1. Aerodynamic forces acting on the wings
In a generalized form, lift, LW, and drag, DW, can be
written in the following forms:
LW =
DW =
1
2
1
2
ρaSl ˆU2
wCLw
ρaSd ˆU2
wCDw,
(1)
(2)
where ρa, Sl, Sd, CL, and CD denote the air density,
the projected area along the lift force direction, pro-
jected area along the local velocity, lift coefficient,
and drag coefficient. ˆUw refers to the local wind velo-
city at the equivalent motion center of the wings,
ˆUw = U∞ − Uw.
The observed pattering or sea-anchoring loco-
motion of storm petrels is near the water surface,
where the ground effect plays a significant role in aug-
menting lift [28]. Under this condition, we assume the
direction of lift is always perpendicular to the local
wind velocity, with no induced drag, as demonstrated
in figure 3 [28]. We calculate the wing’s lift coefficient,
CLw, through the thin-plate model [26] as:
CLw = 2π sin (|α|) .
(3)
Bioinspir. Biomim. 18 (2023) 066016
J Xue et al
Figure 3. Body-fluid interaction. (A) Environmental forces present in the multi-body dynamic modeling: R represents the
hydrodynamic resistance on the feet; DB represents the aerodynamic drag on the body; LW and DW represent the aerodynamic lift
and drag on the wings, respectively; LT and DT represent the aerodynamic lift and drag on the tail, respectively. ˆUb, ˆUt, ˆUw and ˆUf
represent the local wind velocity at the storm petrel’s body, tail, wings, and feet in the global coordinates. ˆUf is the equivalent
velocity of water relative to the feet, which is the velocity component of feet velocity, Uf, in the direction normal to the feet surface.
(B) Demonstration of the body drag calculation, which is based on transforming the local wind velocity and reaction forces
between the fixed global coordinates (X), (Y) and local coordinates (u), (v) attached to the body. The blue dash lines are velocity
components of the local velocity at the body center discomposed in the local body coordinate (ˆUl
b); on the other hand, the orange
and red dash lines are force components represented in the local body coordinate (Dl
B) and global coordinate (DB), respectively. α
is the angle of attack of the airfoil of the body, while θ is the body pitch angle relative to the positive x-direction. (C)
Demonstration of the aerodynamic forces calculation of the wings. Local wind velocity at the wings can be decomposed to free
stream velocity, U∞, and the wing’s absolute velocity, Uw, which is equal to the body velocity, Ub, plus the relative wing’s velocity
to the body, Ub
w. The positive direction of global coordinates (X), (Y) are represented by two black dashed arrows in (A) and (C).
Figure 4. Drag coefficients for various bird wings across attack angles. Colored solid lines represent experimentally measured
drag. The black dashed line indicates the averaged data over all 13 bird species. This data is subsequently fitted by a bi-harmonic
function regression to be used in the actual calculation: CDw = 16.4sin(0.03|α| + 1.4) + 16.2sin(0.03|α| + 4.5). Reproduced
with permission from [32]. [© 2016. Published by The Company of Biologists Ltd].
While the drag coefficient, CDw, of a storm pet-
rel’s wing has not been experimentally measured, a
comparative analysis of 13 species shows reasonable
consistency across birds [32], shown in figure 4.
It is worth noticing that these experimental data
are collected from −5◦ to 50◦ angle of attack, α. To
enable a larger motion space for the simulated wings,
we mirror the data to the negative domain of α, which
leads to a symmetric data set with an α range of
[−50◦, 50◦].
2.2.2. Aerodynamic forces acting on the tail
We use the slender lifting surface theory to model the
aerodynamic force on the tail [33], which formulates
the lift force generated on the tail as:
LT = Kg
π
4
ρα ˆU2
t bmax
2
(4)
where Kg = 1.3 is the ground effect correction factor
[27, 28], ρ is the air density, α is the angle of attack,
5
Bioinspir. Biomim. 18 (2023) 066016
J Xue et al
and ˆUt is the local wind velocity at the tail’s geomet-
ric center, ˆUt = U∞ − Ut. bmax is defined as the tail’s
maximum width and equals the tail’s tip width, w2,
in our model.
The total drag on the tail consists of the induced
drag and the profile drag. The induced drag, Di, the
pressure drag, Dp, and profile drag skin friction drag,
Dr, are formulated as follows:
Di =
Dp =
Dr =
1
2
1
2
1
2
LTα
ρ ˆU2
t SpCdp
ρ ˆU2
t SfCdf,
(5)
where Sp and Sf are the frontal projected area of the
tail and the wetted surface area, respectively. Cdf =
1.328√
is the skin friction coefficient for Re < 106 [29],
Re
where Re = ρUc
µ is the Reynolds number and c is the
chord length. Cdp is the pressure drag coefficient,
which can be reasonably ignored over a realistic range
of steady angles of attack for bird tails of −10◦ to
25◦ [34].
Therefore, the drag of the tail, DT, can be formu-
lated as:
DT =
1
2
LTα +
1
2
ρ ˆU2
t SfCdf.
(6)
2.2.3. Aerodynamic forces acting on the body
The drag on the body ellipsoid is first calculated in the
body coordinates and then transformed to the global
coordinates, demonstrated in figure 3(B). The local
velocity at the body’s centroid in the spatial (global)
coordinates is denoted as Ub (or Ug
b) and is calculated
by ˆUb = U∞ − Ub, while ˆUl
b is that same velocity in
the storm petrel’s body (local) coordinates.
ˆUl
b = Rl
g
ˆUb
(7)
where Rl
g is the rotation matrix mapping from local
to global coordinates. Then we calculated the aerody-
namic drag on the body in the local coordinate, Dl
B,
as follows:
Dl
B =
1
2
ρ ˆUl2
b SpCdp
(8)
where the pressure drag coefficient Cdp of the ellips-
oidal body is selected to be 0.167 and 0.7 along the
major and minor axis, respectively [30].
After calculating the aerodynamic forces along the
major and minor axis of the elliptical cross-section
in the local coordinate, Dl
B, we transform these forces
back to the global coordinate, denoted as DB.
DB = Rg
l Dl
B,
(9)
where Rg
from the global to the local frame.
l = (Rl
g)−1 is the rotation matrix mapping
6
2.2.4. Hydrodynamic forces acting on the feet
In general, small water walkers, such as insects, rely
primarily on surface tension to support weight and
stay statically on the surface, while large creatures
dynamically generate hydrodynamic forces to support
body weight (y-direction) or/and provide propul-
sion or thrust (x-direction) with form drag, added
mass, and buoyancy playing significant roles [6].
Nevertheless, some large creatures, such as storm pet-
rels and basilisk lizards, do not submerge their bod-
ies during locomotion, so we can ignore the buoy-
ancy force as well considering the minimized volume
of feet. Although basilisk lizards are found to reduce
downward drag by retracting their feet from the water
through a generated air cavity, grebes retract their feet
laterally and do not use an air cavity, suggesting that
the utilization of air cavity varies across water-walking
organisms [9]. Although it is possible, there is no con-
crete evidence of air cavities forming in pattering or
sea-anchoring in storm petrels. Therefore, we do not
model air cavities in this initial study. Additionally,
although we did consider added mass force in our
early- hydrodynamics modeling, we find in our pre-
liminary testing that the magnitude of the added
mass force is not comparable to the form drag under
the current acceleration of the legs during the strike
phase. Therefore, the final modeling of the hydro-
dynamic resistance force acting on the feet R includes
only a form drag term, which is formulated as:
R =
1
2
ρwAUf
2CR,
(10)
where ρw, A, and CR denote the seawater density,
foot web area, and the hydrodynamic drag coefficient.
Here, we define Uf as the velocity of the feet at the
web’s geometric center along its surface’s normal dir-
ection. CR is estimated based on the experimental res-
ult of a Basilisk Lizard study [31].
2.3. DRL
Beginning from this section, we will distinguish the
pattering and sea-anchoring as two different loco-
motion patterns to validate different assumptions of
observed behavior’s biomechanical purposes (stabil-
ity, weight support, thrust), as well as to explore the
behavior or/and performance changes of storm pet-
rels under different goals and environmental condi-
tions (i.e. wind speed).
‘Pattering’ is defined in the following sections as
a persistent forward locomotive behavior in which
storm petrels strike their feet on the water while flap-
ping their wings to ‘jump’ on the water while foraging
for prey. This behavior is mostly observed on videos
with relatively still water surfaces, suggesting a low
free-stream wind velocity.
In addition to forward locomotion, storm petrels
show instances when an individual will drag their feet
in the water while keeping their wings outstretched
to stay stationary and/or against the incoming gust.
Bioinspir. Biomim. 18 (2023) 066016
J Xue et al
Figure 5. The relationship of agent-body-fluid interaction and the framework of the DDPG algorithm. K1–k7 are parameters or
weights of different terms in the reward functions tuned depending on specific cases. Here, we use k1 = 2.8, k2 = −0.65,
k3 = −0.02, k4 = 0.15, k5 = −3, k6 = 1, and k7 = −7.5. The red-inked terms in the reward function for ‘Locomotion pattern 2:
Sea anchoring’ highlight the modifications made based on the reward function for ‘Locomotion pattern 1: Pattering’, which filters
the forward velocity reward and adds an absolute x-position deviation penalty.
Although the biomechanics of this behavior is not
fully understood, it is hypothesized to help the storm
petrel maintain balance and avoid being blown away
by using its feet to generate hydrodynamic resist-
ance, like an anchor, against the aerodynamic drag
on the body, wings, and tail [13, 14]. This beha-
vior is defined in this paper as ‘sea-anchoring.’ In
videos that show this behavior, we observe that there
are often significant waves while storm petrels sea-
anchor on the water. Therefore, we assume that
this behavior is associated with relatively high wind
velocities.
and
Without
validated
quantitative
kin-
ematic data for these behaviors, hard-coded con-
trol algorithms are not practically implemented.
Therefore, we use a model-free DRL strategy for sen-
sorimotor learning and motion planning to explore
these behaviors. As graphically demonstrated in
figure 5, we implement DDPG algorithm using the
Reinforcement Learning Toolbox in Matlab (Matlab
R2021b, MathWorks, Inc.), which we integrate with
the storm petrel model and fluid environment mod-
els (force models) constructed in the Simscape
Multibody simulation environment (Matlab R2021b,
MathWorks, Inc.). The relationship of this agent-
body-fluid interaction and the framework of the
DDPG algorithm is demonstrated in figure 5.
2.3.1. Observation
For both training scenarios, the DRL agent will
the environment at each
observe the states of
sampling point, defined and summarized in table 3,
7
and take the optimal action based on these states
and the defined reward functions. In training scen-
arios that encourage forward motion (e.g. pattering in
section 3.1), the absolute x-position of the storm pet-
rel model makes no difference regarding control and
is therefore not one of the observed states. However,
the absolute x-position is a meaningful indicator
when the training scenario involves sea-anchoring
or destination-specified locomotion, as described in
section 3.2. Nevertheless, we include this x-position
state only in the reward function, not in the obser-
vation, of sea-anchoring training to have a uniform
input space (observation) for both behaviors and
improve the convergence of the model.
2.3.2. Terminating conditions
We set multiple conditions that terminate the cur-
rent training episode to prevent the storm petrel from
drowning, to minimize unstable body orientations,
and to accelerate the training process. The termin-
ating conditions are summarized in table 3. These
boundary conditions restrict the model’s range of
motion and guide it to behave naturally and remain
within the scope of this study.
2.3.3. Reward formulation
Although many generalized reward formulations for
achieving efficient and stable locomotion patterns
have been validated on various terrains, designing
reward functions for hybrid locomotion between air
and water is still intricate due to the innate instability
and complexity of the fluid environment.
Bioinspir. Biomim. 18 (2023) 066016
J Xue et al
Table 3. Variables definition and usage in the DRL framework. The double stars, ‘∗∗’, denotes that this variable is used in both
locomotion training scenarios (pattering and sea-anchoring), while the single star, ‘∗’, indicates that it is only used in the sea-anchoring
training. The bold font indicates variables that are in a vector form.
Variable Definition
Observation Reward Termination
X
Vx
Y
Vy
Ywt
Ytt
Yfc
θ
˙θ
γ
ϕ
β
α1
α2
α3
AOAt
P
a
preAct
The x-direction position of the body center
The x-direction velocity of the body center
The y-direction position of the body center
The y-direction velocity of the body center
The y-direction position of the wings’ tip
The y-direction position of the tail’s tip
The y-direction position of the feet’ center
The pitch angle of the body (degree)
The rotational velocity of the body
The pitching angle of the wing
The flapping angle of the wing
The pitching angle of the tail
The angle of the knee joint
The angle of the ankle joint
The angle of the metatarsal bones joint
Angle of attack of the tail
The vector of the instantaneous output power of joints
The vector of the normalized instantaneous
acceleration of joints
The vector of the actions taken at the last sampling time
∗∗
∗∗
∗∗
∗∗
∗∗
∗∗
∗∗
∗∗
∗∗
∗∗
∗∗
∗∗
∗∗
∗∗
∗
∗∗
<= −2.5 m & >= 6.75 m
<= −0.06 m & >= 0.4 m
<= 0
<= 0
∗∗
<= −50◦ & >= 50◦
<= −50◦ & >= 50◦
∗∗
∗∗
Specifically, in our case, except for stability and
efficiency, either pattering or sea-anchoring has its
own presumed biological purposes, which need more
heuristics to guide and restrict the model.
Based on early-stage exploratory testing, we sum-
marize several empirical but vital rules that affect the
storm petrel model’s locomotion or its capability to
patter or sea anchor:
(i) A reward for forward velocity encourages the
emergence of
locomotion, while a penalty
for backward velocity can improve the gust-
resistance ability.
(ii) A constant survival reward helps to extend the
surviving time under the unstable scenario of
each episode.
(iii) A penalty for
large body pitch rotations
improves the stability of the model.
(iv) A penalty for the system’s large instantaneous
net power output and acceleration at the joints
limits and reduces the energy consumption
(i.e. metabolic cost).
(v) A penalty for x-position deviation from the ref-
erenced location helps the model to stay around
the reference.
(vi) A reward for upward velocity encourages loco-
motion at low wind speeds but causes instability
at high wind speeds (e.g. tendency to be blown
away by a gust). It is, therefore, not included in
the final reward function.
Based on the previous definition of pattering and
sea-anchoring, pattering exhibits efficient forward
locomotion while close to the water surface, while
sea-anchoring focuses on staying around a certain
8
position. Thus, we differentiate the reward function
for sea-anchoring from pattering, because of their dif-
ferent focuses and purposes by filtering the forward
velocity reward and including a penalty for the x-
position offset from the initial position. The explicit
mathematical formulations of reward functions are
demonstrated in figure 5.
3. Results and discussion
3.1. Pattering
the
After approximately 3000 training episodes,
DRL model enables the storm petrel model
to
exhibit persistent forward locomotion in behavior
that resembles storm petrels in nature. The qualitat-
ive comparison of video captures in nature and sim-
ulation is presented in appendix B. The quantitative
analysis of the pattering storm petrel in simulation is
shown in figure 6. In general, this ‘pattering’ behavior
can be successfully trained over ambient wind speeds
ranging from 1 to 5 ms−1). Here, 1.5 m s−1 is a typical
wind condition in which storm petrels are most likely
to emerge pattering.
Based on the definition in section 2.3 and simula-
tion results, we characterize the pattering behavior of
storm petrels as the following phases:
(i) Landing: The storm petrel exerts negative
torque (extension) all lower limb joints (knee,
ankle, and metatarsal) during gliding to swing
the legs forward and moves the wings dorsally
before the legs drop into the water.
(ii) Strike: The storm petrel applies a rapid burst
leg and
of positive torque (flexion) on all
Bioinspir. Biomim. 18 (2023) 066016
J Xue et al
Figure 6. (A-1): Emergence of the pattering behavior in the simulation after a DRL training under 1.5 ms−1 incoming wind speed
(The simulation videos can be found in electronic supplemental material (ESM)): the blue dash line indicates the ocean surface,
and ten motion captures are evenly extracted from the data set. (A-2): trajectories of foot web tip and leg joints: the light blue, red,
and green trajectories represent the time-varying position of the web tip, Metatarsal joint, and ankle joint, respectively. Filled-in
green squares, red rhombuses, and blue triangles denote the joints’ position at thirty sampled points evenly extracted from the
data set. Black lines connect digitized joint positions in the same frame. (B) and (C): force profiles of the body, wings, tail, and
webbed feet during the pattering in the forward (B-1) and vertical (B-2) global directions. (C-1) and (C-2) exhibit the net forces
of all body parts in the forward and vertical directions, respectively. The forces are all normalized by the averaged weight of the
storm petrel specimens (∼0.41 (N), F∗ = F/0.41.
wing-flapping joints to generate both hydro-
dynamic and aerodynamic thrust and positive
vertical forces.
(iii) Takeoff: The foot webs leave the water surface
due to the momentum generated from the last
phase. The storm petrel then starts to glide
before recommencing the landing phase and
repeating this process to jump forward.
The dynamic contribution of each body part is
shown in figures 6(B-1) and (B-2) for the X and Y dir-
ections, respectively. Its Y-coordinate is dimension-
less and normalized by the average weight of the pet-
rel (0.41 N). It shows that the forward force is mainly
provided by the feet, with an average impulsive force
of up to four times body weight. Both the wings and
feet provide upward force. The feet generate part of
the upward force through impact with the water, and
the wing’s angle of attack modulates lift production
while maintaining appropriate body pitch. Once in
the air, the petrel mainly glides, maintaining the for-
ward relative flight speed out of the water.
Table 4 shows the maximum torque, velocity, and
power at each joint. The ankle produces most of the
power associated with pattering, partially due to high
angular velocities. These results are similar to those
found for ducks extending their legs during aquatic
take-offs, which demonstrate high ankle angular velo-
cities and produce over three times as much muscle
power in the ankle-extending lateral gastrocnemius
muscle compared to terrestrial take-offs [35]. The
simulation values we list may provide a preliminary
9
Bioinspir. Biomim. 18 (2023) 066016
J Xue et al
Table 4. Maximum torque, velocity, and instantaneous power of
each controllable joint.
Joints
Knee
Ankle
Metatarsal
Wing Pitch
Wing Flap
Tail Pitch
Max. torque
(Nm)
Max. velo-
city (ms−1)
Max. power
(W)
0.13
0.17
0.05
0.028
0.07
0.022
32
100
30
5.2
20
5
4
15.2
1.5
1.4
1.2
0.09
reference for future robotic designs, especially actu-
ation system design or motor selections.
3.2. Sea-anchoring
Although sea-anchoring behavior has been math-
ematically justified under a static scenario, previous
research has not considered or analyzed the behavior
from a dynamic perspective.
In this work, we first evaluate the sea-anchoring
dynamics of the storm petrel under a medium wind
speed, 3 ms−1. It can be observed from figure 7(A)
that the storm petrel keeps itself aloft and balanced
by rotating its wings, tail, and body dynamically while
dabbling its feet in the water. Figure 7(B) shows that
the storm petrel stays around the initial position,
although the centroid of the model oscillates slightly
caused by the periodic leg strikes. The trained storm
petrel model exhibits a high capability of maintaining
the body balance even under an abrupt and consider-
able body posture change (e.g. during the 1.5 s–2 s
period). Though the peak value of aerodynamic drag
is small, its persistent effect on the petrel requires rel-
atively high positive hydrodynamic impulses released
in a short time, shown in figures 7(C-1) and (D-1), to
compensate for the induced momentum and main-
tain the absolute body position in the horizontal
direction.
This sea-anchoring behavior should be regarded
as dynamic rather than statically stable. This stabil-
ity is achieved by the storm petrel model persist-
ently coordinating, adjusting, or manipulating all the
effective body components to balance the trade-off
between the weight support and drag. The fact that
the increase in the lift of either the wings or the tail
will generally accompany an increase in the aerody-
namic drag under a low angle of attack causes a trade-
off or a control challenge. Additionally, we observe
and analyze the change in sea-anchoring perform-
ance and behavioral pattern as wind speed increases
from 1 ms−1 to 8 ms−1 through separate simulations.
It is unsurprising that the sea-anchoring perform-
ance is limited and will be affected by the increasing
wind speed, which can be seen as a gradually back-
ward average x-position, see figure 8(A). It should be
acknowledged that the actual environment condition
is more complicated than a constant wind speed and
chances that the highest wind speed in nature under
which storm petrels exhibit sea-anchoring is much
higher than in the simulation. Despite that, there has
been a hypothesis that storm petrels will seek shelter
in the wave troughs, suggesting a much lower local
wind speed compared to the free stream [14].
The contributions of each body component (tail,
wings, feet, and body) to sub-tasks (e.g. weight sup-
port, balance) during sea-anchoring differ from those
observed during pattering and vary with wind speed.
Specifically, we observe that simulated sea-anchoring
storm petrels alter wing pitch instead of flapping (as
observed in pattering simulations), which helps them
maintain balance as wind speed increases. The lack of
flapping, especially at high wind speeds, could reduce
the risk of generating excess lift and elevating storm
petrel’s feet out of the water. This inference is suppor-
ted by early-stage exploratory testing where flapping
causes the petrel to be blown backward or flipped over
after the foot leaves the water.
Besides, as shown in figures 8(B) and (C), the drag
acting on the wings is almost constant across wind
speeds through the change of angle of attack modu-
lated by the pronation or supination (pitching) of the
wings. This is supported by the concomitant reduc-
tion of aerodynamic lift generated by the wings across
increasing wind speed. The tail plays an increas-
ingly significant role in generating lift as the wind
grows stronger, which could provide weight support
and counteract the rotational momentum induced
by the wings so as to maintain an appropriate body
angle.
In addition, the simulated sea-anchoring storm
petrel submerges its feet more frequently and for
longer durations under high wind conditions. At
low wind speeds, hydrodynamic forces acting on the
feet provide weight support (vertical) but limited
propulsion (horizontal) (figures 8(B) and (C)). At
higher wind speeds, these hydrodynamic forces shift
to primarily generating forward propulsion or thrust.
This aligns with intuition—low wind speeds gener-
ate less aerodynamic lift, requiring stronger contribu-
tions from the feet, but stronger winds induce larger
backward drag on the wings, demanding counteract-
ing propulsion from the feet. The force modulation by
the feet could be achieved by varying the trajectory or
angle of attack of the feet.
It is interesting to note that the total vertical force
produced by all body components is less than the
storm petrel’s weight (∼0.41 N). The result that the
averaged vertical force is less than the body weight
could be explained by the discrete striking pattern of
the legs, which leads to a less-than-one value after the
time average. The increase of this magnitude could,
therefore, be explained by an increase in the striking
frequency or duty cycle.
10
Bioinspir. Biomim. 18 (2023) 066016
J Xue et al
Figure 7. Emergence of the sea-anchoring behavior in the simulation. (A) Motion captures (2.2 Hz) of a sea-anchoring petrel
with an incoming wind speed of 3 ms−1. The blue dashed line denotes the ocean surface. (B) Profile of the x-position of the body
centroid across time (y-axis). (C-1) and (C-2) show the net aerodynamic forces acting on all body parts in the x- and y-directions,
respectively. (D-1) and (D-2) show the net hydrodynamic forces along the x- and y-respectively. All the forces are normalized here
by the storm petrel’s weight (∼0.41 N).
11
Bioinspir. Biomim. 18 (2023) 066016
J Xue et al
Figure 8. Displacement and force metrics of sea-anchoring storm petrels simulated under different constant wind velocities. All
values are calculated as averages across the training episodes (all more than 3 s) with the corresponding wind speed. (A) Mean
forward (x) displacement of the foot relative to the global starting position. (B) Mean forward (x-direction) forces acting on
different body parts (foot, wings, tail, trunk). (C) Mean vertical (y-direction) forces acting on different body parts. The x- and
y-forces are normalized using the averaged weight of measured storm petrel specimens (∼0.41 (N)), F∗ = F/0.41.
4. Conclusion
In this work, we simulate two storm petrel for-
aging behaviors at the air–water interface using meas-
ured anatomical data of storm petrel specimens and
quasi-steady fluid dynamics models. The complex
locomotive motions of the storm petrel are planned
using DRL techniques, successfully generating stable
behaviors that qualitatively resemble observations of
pattering (forward locomotion) and sea-anchoring
(stationary) behaviors in nature at different wind
speeds.
However, we have to acknowledge that due to
the scope of this initial study and the shortage of
resources, the simplified storm petrel model and
quasi-steady fluid dynamic models used in the sim-
ulation have limitations and might, to some extent,
affect the results of our simulations.
While the quasi-steady model may not fully cap-
ture the complexities of the fluid dynamics of storm
petrel behavior, the DRL models generated in this
study provide novel insight into why birds choose pat-
tering or sea-anchoring and provide a foundation to
further explore reinforcement learning as a way to
test behavioral hypotheses. The model presented here
performs pattering when forward motion is rewar-
ded and sea-anchoring when maintaining a station-
ary position is rewarded.
These results
support
is
lift, while the
provided mainly by the wings’
forward propulsion is primarily generated by the
show that weight
12
hydrodynamic drag produced by the webbed feet. To
maintain a stable body posture, the pattering simu-
lations coordinate different body components (e.g.
wings and tail) to reduce net torque. During sea-
anchoring simulations that prioritize a stationary
global position, the RL agent submerges the feet to
induce hydrodynamic resistance against the aero-
dynamic drag acting on the wings and tail. When
increasing constant wind speeds, sea-anchoring sim-
ulations (1) adjust the pitch of the wings and reduce
flapping to reduce drag and lift, and (2) increasingly
use the tail to counteract pitch moments generated
by the wings.
Additionally, we present the integration approach
used in this manuscript as a strategy for inform-
ing our understanding of otherwise elusive animal
behaviors, and we hope our methodological frame-
work inspires future investigations into storm pet-
rel behavior and/or other multidisciplinary investig-
ations. For example, additional analyses could exam-
ine how variation in wing loading and foot loading
in storm petrels [12] contributes to pattering suc-
cess, and therefore the evolution of this unique beha-
vior within Procellariiformes. Observations of storm
petrel foraging under varying environmental con-
ditions may confirm behavioral plasticity correlated
with wind speeds, and therefore predict the influence
of climatic shifts and anthropogenic influences, such
as ocean wind turbines [36].
Nevertheless,
learning algorithms used in this
the reduced-order models and
study have
Bioinspir. Biomim. 18 (2023) 066016
J Xue et al
improvements
that can be made in
potential
including (1) collecting more
future research,
quantitative data on storm petrel pattering/sea-
anchoring to validate modeling approaches, (2)
exploring new learning techniques, such as reward
to enhance the interoperabil-
shaping [37, 38],
ity of the AI ‘black box’, and (3) using empir-
ical data to measure the drag coefficient of objects
that replicate a storm petrel’s anatomy by fluid
dynamic experiments to build a higher fidelity force
model [39–41].
Data availability statement
All data that support the findings of this study are
included within the article (and any supplementary
files).
Acknowledgments
This work is partially supported by grants from
the research initiation grant provided by Westlake
University (No. 103110556022101). The authors are
grateful
to Dr Yuqing Chen at Xi’an Jiaotong-
Liverpool University for the useful discussion on
dynamic modeling and nonlinear control and PhD
candidate Bing Luo at Westlake University for the
guidance on 3D flapping wing kinematics. The
authors also want to acknowledge the University of
Washington Burke Museum of Natural History for
access to petrel specimens and the Macaulay Library
at the Cornell Lab of Ornithology for access to videos
of storm petrels.
Conflict of interest
We declare we have no competing interest.
Author contributions
J X: conceptualization, primary modeling of both
the biological system and fluid environment, DRL
implementation and tuning, data collection, formal
analysis, methodology, software, validation, visualiz-
ation, writing—original draft, writing—review and
editing; F H: modeling, DRL tuning, data collec-
tion and analysis, Graph design and plot, writing—
literature review and editing; B K v O: Anatomical
measurements and photos of storm petrel speci-
mens, modeling of the biological system, biological
hypothesis justification, writing—review and editing;
experiment design; G C: Biological and biomech-
anics hypothesis and assumption justification, mod-
eling of the biological system, experiment design;
D F: Conceptualization, modeling of both the fluid
environment, funding acquisition, supervision, pro-
ject administration, writing—review and editing. All
authors give final approval for publication and agree
to be held accountable for the work performed
therein.
Appendix A. Anatomical measurements
on storm petrel specimens
We take photographs of specimens available at the
University of Washington Burke Museum of Natural
History (Seattle, WA, USA). The measurements are
calibrated by a ruler put in the scene and analyzed
using ImageJ (ImageJ 1.53o, National Institutes of
Health (NIH)). Web angle is defined as the maximum
acute intersection angle of the foot webs. Total length
is measured from the specimens’ head tip to the tail
tip. Trunk length is measured from the head tip to the
tail root of the specimens, while tail length is meas-
ured from the tail root to the tail tip.
13
Bioinspir. Biomim. 18 (2023) 066016
J Xue et al
Table A1. Skeleton measurements (mm).
Species
Femur (mm)
Tibiotarsus (mm)
Tarsometatarsus (mm)
Oceanites oceanicus
Oceanodroma furcata
Oceanodroma leucorhoa
Average
14.9
18.5
15.1
16.2
46.1
38.3
34.9
39.8
33.5
23.6
21.4
26.2
Table A2. Skin Measurements (mm).
Species
Web Angle
(degree)
Total Length
(mm)
Trunk
Length (mm)
Tail Length
(mm)
Tarsometatarsus
(mm)
Metatarsals
(mm)
Oceanites oceanicus
Oceanodroma furcata
Oceanodroma leucorhoa N/A
51.0
Average
42
60
187
224
194.5
201.8
129.7
160.6
130
140.1
57.3
63.4
64.5
61.73
34.9
N/A
N/A
34.9
26
21.9
25.1
24.3
Figure B1. (A) Video footage of the storm petrel in nature (Reproduced with permission from [25]. [© Josep del Hoyo]).
(B) Captures of different pattering cycles of the storm petrel in simulation. The landing phase for all cycles recorded here is
timestamped as 0 ms, while the striking and takeoff phases are timestamped relative to the landing phase capture respectively for
each pattering cycle.
Appendix B. Video footage comparison of
pattering storm petrel in simulation and
nature
We capture and timestamp the gestures of patter-
ing storm petrels in the simulation and subsequently
compare these with video footage of storm petrels
in nature. Overall, we observe that the timing of the
striking and takeoff phases is of a similar order of
magnitude. Although figure B1 suggests that the sim-
ulation’s timestamps can vary between different pat-
tering cycles and differ from those seen in real storm
petrels, we find this variation acceptable. It can be
attributed to factors such as the low frame rate of the
video source, the limited availability of capture data,
and the challenges of manually aligning phases (land-
ing, striking, takeoff) across different cycles.
ORCID iDs
Jiaqi Xue https://orcid.org/0000-0002-8590-3764
Fei Han https://orcid.org/0009-0007-7982-1870
Brett Klaassen van Oorschot
https://orcid.org/0000-0003-4347-5391
Glenna Clifton https://orcid.org/0000-0002-5806-
7254
Dixia Fan https://orcid.org/0000-0002-6201-5860
References
[1] Horricks R A, Bannister C, Lewis-McCrea L M, Hicks J,
Watson K and Reid G K 2022 Comparison of drone
and vessel-based collection of microbiological water
samples in marine environments Environ. Monit. Assess.
194 1–9
14
Bioinspir. Biomim. 18 (2023) 066016
J Xue et al
[2] Wang J, Li G and Chen F 2022 Eco-environmental effect
evaluation of tamarix chinesis forest on coastal saline-alkali
land based on RSEI model Sensors 22 5052
[3] Gonçalves L and Damas B 2022 Automatic detection of
rescue targets in maritime search and rescue missions using
UAVs 2022 Int. Conf. on Unmanned Aircraft Systems (ICUAS)
(IEEE) pp 1638–43
[4] Winfield A F T et al 2016 euRathlon 2015: a multi-domain
multi-robot grand challenge for search and rescue robots
Annual Conf. Towards Autonomous Robotic Systems
(Springer) pp 351–63
[5] Hsieh S T and Lauder G V 2004 Running on water:
deep reinforcement learning IEEE Robot. Autom. Lett.
6 7193–200
[23] Kambic R E, Roberts T J and Gatesy S M 2014 Long-axis
rotation: a missing degree of freedom in avian bipedal
locomotion J. Exp. Biol. 217 2770–82
[24] Verstappen M, Aerts P and Van Damme R 2000 Terrestrial
locomotion in the black-billed magpie: kinematic analysis of
walking, running and out-of-phase hopping J. Exp. Biol.
203 2159–70
[25] Hoyo J del 2013 White-faced Storm-Petrel (ML201429031).
The macaulay library at the cornell lab of ornithology
(available at: https://macaulaylibrary.org/asset/201429031)
three-dimensional force generation by basilisk lizards Proc.
Natl Acad. Sci. 101 16784–8
[26] Munson B R, Okiishi T H, Huebsch W W and
Rothmayer A P 2013 Fluid Mechanics (Wiley)
[6] Bush J W M and Hu D L 2006 Walking on water:
biolocomotion at the interface Ann. Rev. Fluid Mech.
38 339–69
[7] Ma J, Lu H, Li X and Tian Y 2020 Interfacial phenomena of
water striders on water surfaces: a review from biology to
biomechanics Zool. Res. 41 231
[8] Dornburg A and Near T J 2021 The emerging phylogenetic
perspective on the evolution of actinopterygian fishes Annu.
Rev. Ecol. Evol. Syst. 52 427–52
[27] Mivehchi A, Zhong Q, Kurt M, Quinn D B and Moored K W
2021 Scaling laws for the propulsive performance of a purely
pitching foil in ground effect J. Fluid Mech. 919 R1
[28] Zhong Q, Han T, Moored K W and Quinn D B 2021 Aspect
ratio affects the equilibrium altitude of near-ground
swimmers J. Fluid Mech. 917 A36
[29] Yang C, Huang F and Noblesse F 2013 Practical evaluation of
the drag of a ship for design and optimization J. Hydrodyn.
25 645–54
[9] Clifton G T, Hedrick T L and Biewener A A 2015 Western
[30] Hoerner S F 1965 Fluid-dynamic drag. Theoretical,
and clark’s grebes use novel strategies for running on water J.
Exp. Biol. 218 1235–43
[10] Denny M W 2004 Paradox lost: answers and questions about
experimental and statistical information. Copyright by: SF
Hoerner Fluid Dynamics, Vancouver, Printed in the USA,
Card Number 64-19666
walking on water J. Exp. Biol. 207 1601–6
[11] Park H and Choi H 2010 Aerodynamic characteristics of
flying fish in gliding flight J. Exp. Biol. 213 3269–79
[12] Sausner J, Torres-Mura J C, Robertson J and Hertel F 2016
Ecomorphological differences in foraging and pattering
behavior among storm-petrels in the eastern Pacific Ocean
Auk 133 397–414
[31] Wei X, Xu L, Zhao J and Cao K 2012 Study and simulation of
control method based biped robot walking on water Proc.
31st Chinese Control Conf. (IEEE) pp 4900–3
[32] Klaassen van Oorschot B, Mistick E A and Tobalske B W
2016 Aerodynamic consequences of wing morphing during
emulated take-off and gliding in birds J. Exp. Biol.
219 3146–54
[13] Sugimoto T 1998 A theoretical analysis of sea-anchor soaring
[33] Thomas A L R 1993 On the aerodynamics of birds’ tails Phil.
J. Theor. Biol. 192 393–402
Trans. R. Soc. B 340 361–80
[14] Withers P C 1979 Aerodynamics and hydrodynamics of the
‘hovering’ flight of Wilson’s storm petrel J. Exp. Biol.
80 83–91
[34] Tucker V A 1992 Pitching equilibrium, wing span and tail
span in a gliding harris’ hawk, parabuteo unicinctus J. Exp.
Biol. 165 21–41
[15] Lillicrap T P, Hunt J J, Pritzel A, Heess N M O, Erez T,
Tassa Y, Silver D and Wierstra D 2015 Continuous
control with deep reinforcement learning CoRR (arXiv:1509.
02971)
[16] Sutton R S and Barto A G 2018 Reinforcement Learning: An
Introduction (MIT Press)
[35] Taylor-Burt K R and Biewener A A 2020 Aquatic and
terrestrial takeoffs require different hindlimb kinematics and
muscle function in mallard ducks J. Exp. Biol. 223 jeb223743
[36] Furness R W, Wade H M and Masden E A 2013 Assessing
vulnerability of marine bird populations to offshore wind
farms J. Environ. Manag. 119 56–66
[17] Mnih V et al 2015 Human-level control through deep
[37] Memarian F, Goo W, Lioutikov R, Niekum S and Topcu U
reinforcement learning Nature 518 529–33
[18] Silver D et al 2016 Mastering the game of go with deep
neural networks and tree search Nature 529 484–9
2021 Self-supervised online reward shaping in sparse-reward
environments 2021 IEEE/RSJ Int. Conf. on Intelligent Robots
and Systems (IROS) pp 2369–75
[19] Wang X, Wang S, Liang X, Zhao D, Huang J, Xu X, Dai B and
Miao Q 2022 Deep reinforcement learning: a survey IEEE
Trans. Neural Netw Learn. Syst.
[38] Okudo T and Yamada S 2021 Reward shaping with dynamic
trajectory aggregation 2021 Int. Joint Conf. on Neural
Networks (IJCNN) pp 1–9
[20] Zhu K and Zhang T 2021 Deep reinforcement learning based
mobile robot navigation: a review Tsinghua Sci. Technol.
26 674–91
[21] Centurelli A, Arleo L, Rizzo A, Tolu S, Laschi C and
Falotico E 2022 Closed-loop dynamic control of a soft
manipulator using deep reinforcement learning IEEE Robot.
Autom. Lett. 7 4741–8
[39] Leung Chan W and Kang T 2011 Simultaneous
determination of drag coefficient and added mass IEEE J.
Ocean. Eng. 36 422–30
[40] Zhang C, Huang H and Lu Xi-Y 2020 Effect of trailing-edge
shape on the self-propulsive performance of heaving flexible
plates J. Fluid Mech. 887 A7
[41] Han P, Lauder G V and Dong H 2020 Hydrodynamics of
[22] Wang J, Hu C and Zhu Y 2021 CPG-based hierarchical
locomotion control for modular quadrupedal robots using
median-fin interactions in fish-like locomotion: effects of fin
shape and movement Phys. Fluids 32 011902
15
| null |
10.1093_nar_gkad633.pdf
|
Analyses and data acquisition codes are upload on lab
GitHub account and archi v ed in Zenodo with the following
doi. Additionally, raw data that support our findings have
Nucleic Acids Research, 2023, Vol. 51, No. 17 8967
been uploaded and archi v ed in Zenodo, corresponding to
each individual figure.
GitHub: https://github.com/Ha-SingleMoleculeLab
Analyses , data acquisition codes , and raw data are
archi v ed in Zenodo:
Raw data analysis DOI: 10.5281 / zenodo.4925617
Data acquisition DOI: 10.5281 / zenodo.4925630
|
Data acquisition DOI: 10.5281 / zenodo.4925630 Raw data DOI: 10.5281 / zenodo.8088172
|
Published online 31 July 2023
Nucleic Acids Research, 2023, Vol. 51, No. 17 8957–8969
https://doi.org/10.1093/nar/gkad633
Linking folding dynamics and function of SAM / SAH
riboswitches at the single molecule level
Ting-Wei Liao 1 , Lin Huang 2 , Timothy J. Wilson 3 , Laura R. Ganser 1 , David M.J. Lilley 3
and Taekjip Ha 1 , 4 , 5 , *
1 Department of Biophysics, Johns Hopkins University, Baltimore, MD 21218, USA, 2 Guangdong Provincial Key
Laboratory of Malignant Tumor Epigenetics and Gene Regulation, Guangdong-Hong Kong Joint Laboratory for RNA
Medicine, Sun Yat-Sen Memorial Hospital, Sun Yat-Sen University, Guangzhou 510120, China, 3 Nucleic Acid
Structure Research Group, MSI / WTB Complex, The University of Dundee, Dundee, Dow Street, Dundee DD1 5EH,
UK, 4 Department of Biophysics and Biophysical Chemistry, Johns Hopkins University School of Medicine, Baltimore,
MD 21205, USA and 5 Ho w ard Hughes Medical Institute, Baltimore, MD, USA
Received April 19, 2023; Revised June 27, 2023; Editorial Decision July 12, 2023; Accepted July 18, 2023
ABSTRACT
GRAPHICAL ABSTRACT
Riboswitches are regulatory elements found in
bacterial mRNAs that control downstream gene
expression through ligand-induced conformational
chang es. Here , we used single-molecule FRET
to map the conformational landscape of the
translational SAM / SAH riboswitch and probe how
ligand-induced conformational
co-transcriptional
c hanges aff ect its translation regulation function. Ri-
boswitch folding is highly heterog eneous, sugg est-
ing a rugged conformational landscape that allows
for sampling of the ligand-bound conformation even
in the absence of ligand. The addition of ligand
shifts the landscape, favoring the ligand-bound con-
formation. Mutation studies identified a key struc-
tural element, the pseudoknot helix, that is crucial
for determining ligand-free conformations and their
ligand responsiveness. We also investigated ribo-
somal binding site accessibility under tw o scenar -
ios: pre-folding and co-transcriptional folding. The
regulatory function of the SAM / SAH riboswitch in-
volves kinetically favoring ligand binding, but co-
transcriptional folding reduces this preference with
a less compact initial conformation that exposes the
Shine–Dalgarno sequence and takes min to redis-
tribute to more compact conformations of the pre-
folded riboswitc h. Suc h slow equilibration decreases
the effective ligand affinity. Overall, our study pro-
vides a deeper understanding of the complex folding
process and how the riboswitch adapts its folding
pattern in response to ligand, modulates ribosome
accessibility and the role of co-transcriptional fold-
ing in these processes.
INTRODUCTION
Riboswitches are regulatory units of RNA that mediate
gene expression in response to binding of specific metabo-
lites. They are widely found in bacteria ( 1–3 ) but also exist in
archaea ( 4 ), plants ( 5 ) and fungi ( 6 , 7 ). To date, > 40 classes
of riboswitches have been discovered, and they bind chem-
ically di v erse ligands and contribute up to 4% to the bacte-
ria genetic control, especially in gram positi v e bacteria. Ri-
(cid:2) -untransla ted regions
boswitches are mostly loca ted a t the 5
(cid:2) -UTR), upstream of the regulated genes, and include an
(5
a ptamer domain ca pable of binding a particular metabolite
with exceptionally high specificity. The riboswitch adopts
a specific fold on binding the ligand, leading to up- or
down-regulation of the gene either by altering transcrip-
tion or translation. Since the riboswitch folds and acts as
a regulatory unit during transcription, the timing of ligand
* To whom correspondence should be addressed. Tel: +1 217 398 0865; Email: tjha@jhu.edu
C (cid:3) The Author(s) 2023. Published by Oxford University Press on behalf of Nucleic Acids Research.
This is an Open Access article distributed under the terms of the Creati v e Commons Attribution License (http: // creati v ecommons.org / licenses / by / 4.0 / ), which
permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
8958 Nucleic Acids Research, 2023, Vol. 51, No. 17
binding and conformational change is critical, necessitating
investigation into its folding kinetics. Substantial r esear ch
has been devoted to the origins of specificity, correlation of
sequence and structure ( 8 , 9 ), folding kinetics ( 10–12 ), and
identification of candidates that can be adapted for drug-
deli v ery ( 13 ) and in vivo imaging ( 14 ).
(SAM)-binding
S-adenosylmethionine
riboswitches
comprise one of the largest classes of riboswitches ( 1 ).
SAM is synthesized from methionine and ATP by SAM
synthetase, encoded by the metK gene. SAM is an es-
sential co-substrate of methyltransferases, supplying the
methyl group for methyl transfer. Once the methyl group
is donated, the resulting S -adenosyl- L -homocysteine
(SAH) is degraded due to its toxicity ( 15 , 16 ). To main-
tain SAM concentration, SAM acts as an inhibitor of
MetK synthesis ( 17–20 ) . This regulation is achie v ed by
the SAM-riboswitches, which bind SAM and acts as
negati v e feedback unit for genes in methionine or cysteine
biosynthesis. W hen SAM concentra tion goes up, expres-
sion of genes in methionine or cysteine biosynthesis is
(cid:2) -UTR adopting transla tion-of f
reduced by its upstream 5
conformation.
Six sub-classes of SAM riboswitches (SAM-I to SAM-
VI) have been identified, classified into three families ac-
cording to their structural features ( 17–25 ). In general,
SAM riboswitches exhibit strong discrimination between
SAM and SAH by electrostatically interacting with the
positi v e-charged sulfonium cation of the SAM molecule
( 26–33 ), as previously shown by X-ray crystallography
and single-molecule methods ( 22 , 34 ). By contrast, the
SAM / SAH riboswitch does not discriminate between SAM
and SAH ( 35 , 36 ).
The ligand binding interactions of this particular
SAM / SAH riboswitch have been pr eviously r evealed by
NMR and X-ray crystallo gra phy ( 35 , 36 ). Binding of SAM
or SAH is accompanied by the formation of three base pairs
that extend the helix of the stem-loop P1, and formation
of a pseudoknot helix PK (Supplementary Figure S1A).
The ligand binds in the major groove of the extended he-
lix, with the methionyl nitrogen and the adenine moiety hy-
drogen bonded to a specific cytosine nucleobase. The me-
thionine side chain containing the sulfonium of SAM or the
thioether of SAH does not make any direct contact with the
RN A, w hich explains the inability to distinguish between
the two ligands. Single-molecule FRET (fluorescence res-
onance energy transfer) ( 37 ) was utilized to compare the
binding of SAM and SAH and their kinetic characteristics
( 36 ), and no significant differences were observed between
the two ligands. Although the ligand-bound state and basic
kinetics have been characterized, important features such
as ligand-free conformations, binding, folding kinetics, and
its role in modula ting transla tion initia tion activity are still
unknown.
Here, we used single-molecule FRET to investigate
the ligand-free and ligand-bound conformations of the
SAM / SAH riboswitch and map the energy landscape of
folding dynamics and altered ribosome accessibility. Fold-
ing of the riboswitch is highly heterogeneous, suggesting
a rugged conformational landscape that allows for sam-
pling of the ligand-bound conformation e v en in the ab-
sence of ligand. The addition of ligand shifts the land-
scape, favoring the ligand-bound conformation. Site spe-
cific mutations showed that the PK helix is crucial for de-
ter mining ligand-free confor mations and their ligand re-
sponsi v eness. In addition, we investigated the accessibility
of the ribosomal binding site under two scenarios: ( i ) pre-
folding of the riboswitch: folding equilibrium is reached
in advance and ( i i) vectorial release of the RNA by mim-
icking co-transcriptional folding. Vectorial folding initially
favors an open conformation that exposes the ribosome
binding site, and it takes min bef ore conf ormational redis-
tribution to that of the pre-folded riboswitch. Such slow
equilibration decreases the effecti v e ligand affinity. Over-
all, our studies offer a deeper understanding of the com-
plexity of the folding process, revealing the mechanism by
which the riboswitch adapts its folding pattern in response
to ligand and modulates ribosome accessibility, and how co-
transcriptional folding influences these processes.
MATERIALS AND METHODS
Riboswitch ligands SAM (A7007), SAH (A9384) were all
obtained from Sigma. The RNAs (wide-typed and mutants)
are synthesized as described in the following sections. DNA
oligonucleotides for mimicking ribosome binding were pur-
chased from Integrated DNA Technologies (Coralville).
RNA synthesis for single-molecule experiments
The wild-type and mutated SAM / SAH riboswitches
for single molecule measurements contain a Cy3 flu-
orophore attached to the O2’ of U20 generated by
Cu 2+ -catalyzed reaction of alkyne-modified RNA with
an azide-attached fluorophore
(Lumiprobe Corp).
(cid:2) DNA exten-
The wild-typed RNA had an 18 nt 3
sion for base-pairing to the anchor DNA, and the
complete sequence was (DNA starts with d and under-
scored): GAUACCUGUCACAACGGCU(U-Cy3)CCU
GGCGUGA CGAGGUGA CCUCAGUGGAGCAA
d( ACCGCTGCCGT CGCT CCG ), and all the other mu-
tated sequences were showed in Supplementary Table S1.
(cid:2) -biotin and 3
The anchor DNA had a 5
(cid:2) Cy5 flu-
orophore and was complementary to the 18-nt ex-
tension of the SAMSAH riboswitch strand. Its se-
quence was: biotin-CGGA GCGACGGCA GCGGT-Cy5.
RNA oligonucleotides were synthesized using t-BDMS
phosphoramidite chemistry ( 38 ) as described in Wil-
son et al. ( 39 ), implemented on an Applied Biosys-
tems 394 DN A / RN A synthesizer. RN A was synthesized
using ribonucleotide phosphoramidites with 2 -Otter-
butyldimethyl-silyl (t-BDMS) protection (Link Technolo-
gies) ( 40 , 41 ). Oligonucleotides containing 5-bromocytidine
(ChemGenes) were deprotected in a 25% ethanol / ammonia
◦C. All oligoribonucleotides were re-
solution for 36 h at 20
dissolved in 100 (cid:2)l of anhydrous DMSO and 125 (cid:2)l tri-
eth ylamine trih ydrofluoride (Sigma-Aldrich) to remove t-
◦C in the dark for 2.5 h.
BDMS groups, and agitated at 65
After cooling on ice for 10 min, the RNA was precipitated
with 1 ml of butanol, washed once with 70% ethanol and
suspended in double-distilled w ater. RNA w as further puri-
fied by gel electrophoresis in polyacrylamide under denatur-
ing conditions in the presence of 7 M urea. The full-length
RNA product was visualized by UV shadowing. The band
was excised and electroeluted using an Elutrap Electroelu-
tion System (GE Healthcare) into 45 mM Tris-borate (pH
◦C . The
8.5), 5 mM EDTA buf fer for 12 h. a t 150 V a t 4
RNA was precipitated with isopropanol, washed once with
70% ethanol and suspended in water or ITC buffer (40 mM
HEPES-K (pH 7.0), 100 mM KCl, 10 mM MgCl 2 ).
Ligand titration of pre-folded riboswitches: wild-typed and
mutated riboswitches
40 pM of the pre-annealed SAM / SAH riboswitch
immobilized on a neutravidin-
molecules were
functionalized, polymer-passivated surface and
free
molecules were washed out with T50 b uffer. Ima ge b uffer
containing an oxygen-scavenging system was freshly mixed
befor e measur ements , comprising 1% (w / v) dextrose , 2 mM
Trolo x, glucose o xidase (1 mg / ml; Sigma-Aldrich), and
catalase (500 U / ml; Sigma-Aldrich)] in buffer containing
40 mM HEPES (pH 7.5), 100 mM KCl, 2 mM MgCl 2 . All
the ligands were diluted with image buffer immediately
prior to measurements. The ligands were incubated for 5
min before imaging. Short movies (duration of 1.5 s: 20
frames) were collected for 30 field of view for generating
distribution of FRET efficiencies ( E FRET ). The distribution
is then fitted by two individual Gaussian function, and the
high E FRET ratio is estimated accordingly.
Single-molecule imaging and data acquisition
Single-molecule FRET data were obtained using a prism-
based total internal reflection fluorescence (TIRF) micro-
scope. The Cy3 and Cy5 fluorophores were excited by a 532-
nm laser (Coherent Compass 315M) and a 638-nm laser
(Cobolt 06-MLD) respecti v ely. The fluorescence emission
was collected by a water immersion objecti v e (Olympus
NA 1.2, 60 ×) and recorded by a back-illuminated electron-
m ultipl ying charge-coupled device camera (iXON, Andor
Technology) with a dual-vie w setup. The dual-vie w setup
used a long-pass emission filter (Semrock BLP02-561R-
25) for eliminating the 532-nm laser, and a notch filter
(Chroma ZET633TopNotch) for eliminating the 638-nm
laser. The fluorescence emission was separated into donor
and acceptor emission by a long-pass dichr oic mirr or (Sem-
rock FF640-FDi01-25X36). The passivated PEG quartz
slides and coverslips were purchased from Johns Hopkins
Slides Core and were assembled into a reaction cham-
ber. ( 42 ) Spots detection, background subtraction, donor
leakage and acceptor direct-excitation correction followed
our previous protocol ( 42 ). Custom codes are available on
GitHub ( https://github.com/Ha-SingleMoleculeLab ) and
archi v ed in Zenodo with the following doi. Data acqui-
sition DOI: 10.5281 / zenodo.4925630; Raw data analysis
DOI: 10.5281 / zenodo.4925617.
Nucleic Acids Research, 2023, Vol. 51, No. 17 8959
E FRET fluctuated between the middle and high values. To
characterize further the dynamic species, the regions of dy-
namics were collected and analyzed by ebFRET ( 43 ) and
the two-state dwell time was plotted into log-scale scatter
plot.
Single-molecule data analysis of vectorially folded riboswitch
Single-molecule traces showing the immobilized heterodu-
plex was unwound were categorized into four types of be-
havior. We classified the riboswitch folding behavior into
four types (Supplementary Figure S7A): (i) molecules tran-
sitioned from the heteroduplex state to the closed confor-
mation without any detectable intermediate, then remain-
ing there, (ii) molecules transitioned from the heteroduplex
state to the open conformation, then remaining there, (iii)
molecules transitioned from the heteroduplex state to one
undergoing fluctuations between the open and closed con-
formations, (iv) molecules transitioned from the heterodu-
plex to fluctuating states after which they became locked in
the closed conformation.
Pseudo-functional readout of ribosome accessibility of pre-
folded riboswitch
40 pM of the pre-annealed SAM / SAH riboswitch
immobilized on a neutravidin-
molecules were
functionalized, polymer-passivated surface and
free
molecules were washed out with T50 buffer. All the ligand
(SAM) and DNA oligonucleotides with a designated con-
centration was freshly mixed with ima ge b uffer containing
an oxygen-scavenging system. Short movies (duration
of 1.5 sec: 20 frames) were collected for 30 field of view
immedia tely or a t designa ted time (5-min or 1 h) after
injection for generating distribution of FRET efficiencies
( E FRET ).
Sample pr epar ation f or the single-molecule FRET measur e-
ments
For preparation of the pre-folded assay, 10 (cid:2)M of the
SAM / SAH riboswitch molecule or the riboswitch mutants
with internal Cy3 labeled was annealed with 15 (cid:2)M an-
chored DNA with Cy5 and biotin label under 1 × T50 [10
mM Tris (pH 8.0), 50 mM NaCl) buffer follo wed by slo w
◦C to room temperature.
cooling from 95
For preparing of the vectorial folding assays, 10 (cid:2)M an-
chored DNA with Cy5 and biotin label was annealed with
20 (cid:2)M of the Cy3-labeled SAM / SAH riboswitch and 40
(cid:2)M complementary DNA oligos (cDNA) with dT30 over-
hang in 10 (cid:2)l of 1 × T50 [10 mM Tris (pH 8.0), 50 mM NaCl]
◦C for 5 min,
by incubating the mixture at 95
◦C for 15 min and finally equilibrating at room tempera-
37
ture for 5 min ( 44 , 45 ).
◦C for 1 min, 75
Single-molecule data analysis of pr e-f olded riboswitch
Vectorial folding as a mimic of riboswitch folding and ligand
binding
Single-molecule traces showing E FRET as a function of time
were categorized into three types of behavior. (i) E FRET re-
mained middle for the duration of observation, up to 1 min,
(ii) E FRET remained high for the duration of observation (iii)
Labeled and biotinylated heteroduplex es wer e immobilized
on a neutravidin-functionalized surface and free heterodu-
plex es wer e washed out. 50 nM of Rep-X ( 46 ) was incu-
bated for 2 min with heteroduplexes in the imaging buffer
8960 Nucleic Acids Research, 2023, Vol. 51, No. 17
(40 mM HEPES (pH 7.5), 100 mM KCl, 2 mM MgCl 2 )
containing an oxygen-scavenging system, and images (du-
ration of 1.5 s: 20 frames) were collected for 30 field of view
for confirming the heteroduplex conformation. Unwind-
ing was initiated by mixing unwinding buffer with / without
ligands at designated concentration. Unless specified oth-
erwise, the unwinding buffer contained 40 mM HEPES
(pH 7.5), 100 mM KCl, 2 mM MgCl 2 , 2 mM ATP with
an oxygen-scavenging system. Buffer with ATP then trig-
gered the pre-bound RepX into unwinding the anchored
heteroduplex.
For the real-time observation (‘flow-in’ experiments) of
riboswitch released from heteroduplex, imaging was started
12 s before the addition of the unwinding buffer. For char-
acterization of VFA products after helicase unwinding, im-
ages were taken after the addition of the unwinding buffer
a t designa ted time. The loading and unwinding buf fers used
during imaging contained additional 1% (w / v) dextrose, 2
mM Trolo x, glucose o xidase (1 mg / ml; Sigma-Aldrich), and
catalase (500 U / ml; Sigma-Aldrich).
Vectorial folding with ligand and ribosome mimic addition si-
multaneously
Labeled and biotinylated heteroduplex es wer e incubated
with 50 nM Rep-X as previously described, images were
taken before addition to confirm the heteroduplex confor-
mations. Ligands, ribosome mimics (oligonucleotides with
9-nt or 15-nt complementary to ribosome binding site),
and additional Rep-X (50 nM for 9-nt; 100 nM for 15-nt)
wer e mix ed with unwinding buffer. The additional Rep-X
is added in order to reduce the competition of free oligonu-
cleotides to the Rep-X pre-incubated before unwinding
mixture. This optimized condition is tested with a nega-
ti v e control, where additional Rep-X with dT9 or dT15
were added sim ultaneousl y into the heteroduplex, no ob-
servable loss of unwinding efficiency in this condition. The
negati v e control experiments were shown in Supplementary
Figure S10.
RESULTS
Heterogeneous folding energy landscape of ligand-free ri-
boswitch
First, we determined the conforma tional d ynamics of the
SAM / SAH riboswitch in the absence of ligand. Single ri-
boswitch molecules were tethered to the quartz slide by hy-
(cid:2) extension to an oligonucleotide carry-
bridization of a 3
(cid:2) termin us. The ribos witch con-
ing a Cy5 acceptor at its 3
struct has a Cy3 donor attached internally within the loop
region such that FRET efficiency, E FRET , between the two
fluorophores can be used to distinguish between conforma-
tions. We anticipated two major conformations: the open
state with a stem-loop structure previously determined by
in-line probing and the closed state with a H-type pseudo-
knot (Figure 1 A, ( 31 )). The closed conformation likely has
a global conformation similar to the crystal structure of the
liganded riboswitch that showed the 8-bp extended P1 he-
lix and 5-bp pseudoknot (PK) helix coaxially stacked with
each other ( 36 ). We previously showed that Cy3 labeling in
the loop region does not perturb folding ( 36 ).
Single-molecule histograms of E FRET showed two major
peaks, likely corresponding to the open conformation (mid-
E FRET = 0.4, Figure 1 B) and the closed conformation (high-
E FRET = 0.84, Figure 1 B), suggesting the ligand-bound con-
formation is adopted e v en without ligand. Lowering mag-
nesium concentration reduced the high- E FRET population
but a significant percentage ( > 30%) of high- E FRET popula-
tion remained e v en in the absence of Mg 2+ (Supplementary
Figure S1B), suggesting divalent cations promote the closed
conformation, but are not required.
Single-molecule time traces of E FRET displayed three
types of behavior: (i) constant mid-FRET ( E FRET = 0.4) (ii)
constant high-FRET ( E FRET = 0.84) and (iii) dynamic be-
havior showing transitions between mid- and high-FRET
values (Figure 1 C). The majority (55%, Figure 1 D) of traces
showed dynamic behavior, further indicating that e v en in
the ligand-free state the closed conformation is sampled.
The interconversion kinetics of the d ynamic popula tion was
quantified by calculating the average dwell times for high
and mid- E FRET states for each molecule and visualized as
a log-scale scatter plot. The average dwell times covered a
wide range, spanning up to 3 orders of magnitude (Fig-
ure 1 E and F). In most cases, the open conformation was
longer-li v ed than the closed conformation (Figure 1 G). The
dynamic transitioning was a long-lasting characteristic with
no clear population interconversions to or from constant
mid- or high-FRET states within our experimental window,
up to 50 min long (a typical trace shown in Supplemen-
tary Figure S2A with zoom-in traces in Supplementary Fig-
ure S2B-D, with intermittent 30 s e xposure e v ery 5 min).
We attribute this ‘static heterogeneity’ to deep energy wells,
and our preliminary investigation at higher temperature still
showed static heterogeneity.
Ligand binding reshapes the folding energy landscape
Next, we measured riboswitch folding in the presence of the
cognate ligand SAM. The high-FRET state indeed r epr e-
sents the closed conformation because SAM increased the
high-FRET population (Figure 2 A). SAM concentrations
we used in our study are similar to the physiological con-
centration in E. coli, ranging from 28 (cid:2)M to 228 (cid:2)M ( 20 ).
The fraction of molecules in the high-FRET population vs
ligand concentration could be fitted using a simple two-
state binding isotherm, yielding a dissociation constant ( K d )
of 10 (cid:2)M, similar to those measured in bulk solution us-
ing isothermal calorimetry ( 36 ). The fraction of molecules
in the constant high-FRET species increased from 0.16 to
0.43, and this increase appeared to occur at the expense of
the dynamic species while the population of the constant
mid-FRET species remained unchanged upon ligand bind-
ing (Figure 2 B). This suggests that the molecules already
in dynamic exchange with the closed conformation were
mor e r eadily locked into the closed conformation via lig-
and binding, while the constant mid-FRET population may
be trapped in a misfolded state that is not easily rescued
by ligand binding. Indeed, flow experiments demonstrated
that ∼43% of dynamic species (37 of 86) showed clear lock-
ing into the closed conformation after addition of 1 mM
SAM (Figure 2 C). Notably, a significant fraction (38%) of
molecules still exhibited dynamic transitioning e v en when
Nucleic Acids Research, 2023, Vol. 51, No. 17 8961
Figure 1. Studies of ligand-free conformations of the SAM / SAH riboswitch by single-molecule FRET. ( A ) A scheme showing the probable folding of
SAM / SAH riboswitch RNA. An 18 nt DNA molecule with a 3 (cid:2) Cy5 acceptor (red circle) was attached via its biotinylated 5 (cid:2) terminus to a quartz slide.
Cy3 donor (green circle) was attached to the bulged nucleotide in the PK helix of the riboswitch, and an 18 nt 3 (cid:2) DNA extension complementary to the
surface-attached DNA allowed the riboswitch to be tethered to the slide. If the pseudoknot helix is not formed the fluorophores should be separated
(the open conformation with mid FRET efficiency) whereas in the folded structure the fluorophores should be much closer (the closed conformation
with high FRET efficiency). ( B ) Distribution of FRET efficiencies ( E FRET ) for SAM / SAH riboswitch molecules corresponding to the open and closed
conformations. ( C ) Char acteristic tr aces of E FRET as a function of time r ecorded. Thr ee r epr esentati v e tr aces are shown, illustr ati v e of constant high FRET
(top), constant mid FRET (middle) and dynamic molecules (bottom) undergoing transitions between states of high and middle E FRET . ( D ) Histograms
showing the relati v e fraction of constant high FRET (black), constant middle FRET (dark gray) and dynamic molecules (light grey with line). ( E ) Among
traces showing dynamic transitioning, two characteristic traces are shown, indicating the kinetics of transitioning is di v erse and heterogenous. (F, G)
Such di v erse tr ansitioning kinetics is then fitted into two states tr ansitioning by ebFRET. Indi vidual molecule av erage dwell time is plotted into log-
scale scatter plot ( F ), indicating transitioning heterogeneity. And the high FRET and middle FRET probability within the d ynamic popula tion is plotted
individually ( G ).
excess ligand was added. However, the average high-FRET
dwell time became significantly longer upon ligand addition
(Figure 2 D). A schematic model is presented in Figure 2 F,
which illustra tes tha t in the absence of ligand, the riboswitch
is in a dynamic equilibrium between folded and unfolded
sta tes, and tha t the addition of a ligand results in a shift to-
wards the closed conformation.
Structural perturbations provide insights into the folding en-
ergy landscape
We ne xt e xamined alterations in the conformational land-
scape caused by mutations designed to impact the local
structural stability. As shown in Figure 1 A and Figure 3 A,
the ligand-bound riboswitch adopts H-type pseudoknot
structure with three stabilizing features: ( i ) P1x: the exten-
sion to helix P1, comprising one W-C base pair and two
non-W–C pairs, ( i i) PK: the pseudoknot helix, involving the
Shine–Dalgarno sequence and ( i ii) T: a triple base interac-
tion (G47:C16–G16) that is part of the PK helix (Figure
3 A). These structural features are abbreviated here as P1x,
PK and T, respecti v ely.
To perturb the closed conformation, we designed four dif-
ferent mutants, named according to the location of muta-
tion: P1x C26Z, P1x A14P, PK C18A / G49U / C50U, and
T G16P. For P1x mutants, the original base pairing was al-
tered by introducing a modified nucleotide: zebularine (Z:
cytosine with N4 removed) or purine (P: adenine with N6
r emoved) (Figur e 3 A). For mutation of the PK helix, two
original CG base pairings were replaced with weaker pair-
ings: AU and GU. For mutation of the base triple T G16P,
G16 was replaced by purine, disrupting the interaction
with the Hoogsteen edge of G47. In choosing the muta-
tion sites, we avoided altering nucleotides that interact di-
rectly with the ligand to minimize disruption of the binding
site. Additionally, the number of hydrogen bonds removed
was kept to a minimum. The positions of these sequence
variations can be found in Supplementary Figure S3, and
the sequences of the mutants are listed in Supplementary
Table S1.
All mutants exhibited an increase in the high FRET
population with increasing ligand concentrations, show-
ing that the mutations did not eliminate the ligand’s abil-
ity to stimulate riboswitch folding (Supplementary Figure
S4A–D). The fraction of the high FRET state versus lig-
and concentration could be fitted using a two-state bind-
ing isotherm, yielding K d values (Table 1 ). Mutants that af-
fect the PK helix stability (PK and T m utants) greatl y re-
duced binding affinity: K d (PK C18A / G49U / C50U) > 1
mM; K d (T G16P) = 607 (cid:2)M. In contrast, muta tions a t the
8962 Nucleic Acids Research, 2023, Vol. 51, No. 17
Figure 2. Studies of ligand-induced conformations of the SAM / SAH riboswitch by single-molecule FRET. ( A ) Distribution of FRET efficiencies ( E FRET )
as a function of SAM and ( B ) the histograms showing the relati v e fraction of constant high FRET (black), constant middle FRET (dark gray) and dynamic
molecules (light grey with line) in the presence of 1 mM SAM. ( C ) Two typical trajectories of riboswitches showed populations converted from dynamics
to constant high FRET while SAM was flowed into the reaction chamber at 20 s, corresponding to the change of the relati v e populations in the presence of
SAM. ( D, E ) Among molecules remained tr ansitioning, tr ansitioning kinetics was then fitted into two states by ebFRET. Individual molecule average dwell
time is plotted into log-scale scatter plot ( D ). And the high FRET and middle FRET probability within the dynamic population is plotted individually ( E ).
( F ) A scheme showing in the presence of ligand, conformations are shifted toward the closed conformations.
P1x region had milder effects: K d (P1x C26Z: 41 (cid:2)M;
P1x A14P: 61 (cid:2)M).
Ne xt, we e xamined the impact of mutations on ligand-
free folding dynamics and ligand responsi v eness. In the
absence of ligand, all mutants displayed peaks at similar
FRET values as the wild type, indica ting tha t open and
closed conformations themselves were not significantly al-
tered, but their relati v e populations changed (Figure 3 B
and C). For example, the destabilization of the closed con-
formation in the PK C18A / G49U / C50U mutant led to a
near-complete depletion of the closed conformations (Fig-
ure 3 D middle panel). The other three mutants showed a
more modest decrease in high FRET peak, by < 3% for
P1x C26Z, 20% for P1x A14P and 22% for T G16P (Figure
3 B and C). Considering both the binding affinity and the
ligand-free conformations, our findings provide evidence
for the notion that greater disruptions to the original ligand-
free conformations result in greater reduction in binding
affinity.
Upon ligand introduction, the general behavior observed
in the wild-type riboswitch was observed for all mutants, but
the relati v e populations and their ligand-induced changes
wer e mutation-dependent (Figur e 3 D and Supplementary
Figur e S5). Compar ed to mutants targeting the extended
P1 stem, mutants that were specifically designed to re-
duce the PK helix stability (PK C18A / G49U / C50U and
T G16P) exhibited larger changes in conformation, cor-
r esponding to r educed binding affinities. As an example,
the PK C18A / G49U / C50U mutant had the constant high
FRET population almost depleted, replaced by the domi-
nant constant mid FRET populations (Figure 3 E). Addi-
tionally, in the presence of the ligand, the dynamic popula-
tion became more prevalent at the expense of the constant
mid FRET population, while the constant high FRET pop-
ulation still remained nearly depleted (Figure 3 E).
We also tested another mutant P1x A14C / C26U, which
stabilizes the extended P1 helix by introducing extra hy-
drogen bond (P1x A14C, C26U) by replacing two original
non-WC base pairs ( cis sugar-Hoogsteen A13:C26, trans
Hoogsteen-sugar A14:G25) with WC base pairs (A13:U26,
C14:G25). Despite the introduction of extra hydrogen
bonds, the mutants showed a reduction in closed confor-
mation (Figure 3 C bottom panel). In addition, the dynamic
species increased in population accompanied by a loss of the
constant high FRET species (Figure 3 D). The substitution
of the WC base pairs may have disturbed the original stack-
ing geometry of the three extended P1 base pairs, resulting
in less stable PK conformation and affecting the base pair
C15:G24 that interacts with the ligand, and thus leading to
a reduced binding affinity ( K d = 593 (cid:2)M). These findings
highlight the complex nature of riboswitch folding and how
small, localized changes can alter the overall folding equi-
librium and responsi v eness to ligands, ultimately impacting
binding affinity.
Ribosome accessibility assay in the absence of ligand
We next explored the riboswitch function of blocking trans-
la tional initia tion in a ligand dependent manner by mim-
(cid:2) region of the riboswitch
icking ribosome binding. The 3
Nucleic Acids Research, 2023, Vol. 51, No. 17 8963
Figure 3. Studies of muta tions a t local structures affect conformations and ligand responsi v eness. ( A ) The ligand-bound riboswitch previously re v ealed
by X-r ay crystallogr aphy ( 36 ) adopts H-type pseudoknot structure with three stabilizing features: ( i ) P1x: the extension to helix P1, comprising one W-C
base pair and two non-W-C pairs, ( i i) PK: the pseudoknot helix, involving the Shine–Dalgarno sequence and ( i ii) a triple base interaction (G47:C16-G16).
(B, C) Distribution of FRET efficiencies ( E FRET ) of the ligand-free conformations of, ( B ) wild-type, P1x C26Z and P1x A14P mutants; ( C ) T G16P,
PK C18A / G49U / C50U and P1x A14C / C26U m utants. All m utations shared similar folding behaviors of constant high FRET, constant middle FRET,
and dynamics. ( D , E ) The histograms showing the relati v e fraction of constant high FRET (black), constant middle FRET (dark gray) and dynamic
molecules (light grey) of wild-type and all mutants (D). Among all mutants, PK C18A / G49U / C50U showed the most different populations both in the
absence or in the presence of ligands (E).
Table 1. Binding affinity of SAM
Mutation
Wild-typed
P1x C26Z
P1x A14P
T G16P
PK C18A, G49U, C50U
P1xA14C, C26U
Binding affinity ( K d ) in (cid:2)M
11
42
61
607
> 1000
593
contains Shine–Dalgarno (S–D) site to which the ribosome
binds to initiate translation. To fully cover the S–D sequence
and form stable binding, we used a 9 nt oligonucleotide
complementary to the S–D region in assessing the accessi-
bility of the transla tion initia tion site (Figure 4 A). Binding
of this oligonucleotide was easily monitored using our sin-
gle molecule experiment.
In the absence of ligands, adding the oligonucleotides de-
creased the two major FRET populations ( E FRET = 0.4
& 0.84) and created a new population with an E FRET of
a pproximatel y 0.22 (Figure 4 B). To identify a condition
that the oligonucleotides are saturated to the pre-exposed
S–D region, we conducted experiments with varying con-
centrations of oligonucleotides, and no discernible changes
in conformation were observed above 500 nM (Supple-
mentary Figure S6A). Consequently, all subsequent exper-
iments were performed with the sa tura ting oligonucleotide
concentration of 500 nM.
We attribute the low-FRET state to the lengthening of
9 nt S–D region upon ribos witch-oligon ucleotide complex
formation. A similar experiment using a 15 nt oligonu-
cleotide showed the low-FRET peak at a slightly lower
value ( ∼0.18), consistent with the longer helix that would
be formed (Figure 4 C and Supplementary Figure S6B).
Duplex formation was very stable and persisted even after
w ashing aw ay fr ee oligonucleotides (Supplementary Figur e
S6C), in contrast to transient duplex formation observed us-
ing a shorter 7 nt long ribosome mimic for 7-aminomethyl-
7-deazaguanine (preQ 1 )-sensing riboswitch ( 47 ).
We further examined the oligonucleotide binding reac-
tion in real time by flowing in the oligonucleotide dur-
ing observation. Most molecules remained unchanged or
showed photobleaching because oligo binding generally
took longer than our observation window of ∼180 s.
Among molecules showing evidence of oligonucleotide
binding, d ynamic fluctua tions between 0.4 and 0.84 FRET
states were observed before they were locked into the low-
FRET state (Figure 4 D). In addition, most low-FRET
states (75% and 91% for the 9-nt oligo and 15-nt oligo,
respecti v ely) were reached from the mid-FRET, open con-
formation (Figure 4 D), indicating that the S–D region be-
comes accessible in the open conformation prior to oligonu-
cleotide binding.
8964 Nucleic Acids Research, 2023, Vol. 51, No. 17
Figure 4. Pseudo-functional studies for assessing the accessibility of the translation initiation site. ( A ) A scheme showing 9 or 15-nt complementary oligonu-
cleotides bind to the open conformation of the SAM / SAH riboswitch. ( B ) Distribution of E FRET before and after addition of sa tura ted concentra tion
( = 500 nM) with various time points. ( C ) Distribution of E FRET comparing the oligo-free (top), 9-nt (middle) and 15-nt (bottom) oligonucleotide-bound
conformations. ( D ) Typical trajectories of riboswitches showed population converted from the mid-FRET to low FRET while oligonucleotides were flowed
into the reaction chamber at 12 s, corresponding to the generated conformations observed in distribution of E FRET . ( E ) Distribution of E FRET after si-
multaneous addition of 9-nt oligonucleotides ( = 500 nM) and SAM ( = 1 (cid:2)M) at various time points, both additions are a t sa tura ted concentra tion. ( F )
Distribution of E FRET showing the ligand responsi v eness after the riboswitches were pre-bound by oligonucleotides.
Ligand-induced conformational change outcompetes ribo-
some mimic binding
We ne xt e xamined the effect of the SAM ligand on the S–
D region accessibility and riboswitch folding by simulta-
neously adding the ligand SAM and oligonucleotide ribo-
some mimics. Within min, the high-FRET population in-
creased at the expense of the mid-FRET population. Only a
small fraction of molecules ( < 20%) went to the low-FRET
conformation corresponding to the ribosome-mimic bound
state (Figure 4 E). Therefore, under our experimental con-
ditions (1 mM SAM and 500 nM oligonucleotide), ligand
binding outcompetes 9-nt oligonucleotide binding at early
timepoints.
The riboswitch remained in the high-FRET state for the
whole observation window for the 9-nt oligonucleotide, up
to 60 min. Howe v er, for the 15-nt oligonucleotides, ∼40%
of high-FRET conformation was lost by 10 min and by 1
h, the low-FRET conformation became dominant (Supple-
mentary Figure S6D), suggesting that the ligand bound ri-
boswitch can still undergo occasional visits to the open con-
formation. The additional foothold of the 15-nt oligo en-
ables capturing the transiently exposed S–D site. At least
for the longer ribosome-mimic, the equilibrium favors the
oligo-bound ‘gene-on’ state w hereas earl y in the process,
ligand binding can trap the molecule in the closed con-
formation, momentarily blocking access to the ribosome.
Howe v er, it is also possible that the extra f oothold f or the
long oligo may facilitate pseudoknot unwinding by par-
tially hybridizing to an unpaired region followed by strand
displacement.
To test if the oligo-bound riboswitch remains responsi v e
to ligand, we added the ligand after pre-incubation with
oligonucleotide. Only ∼25% of 9-nt oligo-bound structures
converted to the ligand-bound ( E FRET = 0.84 state), and
a negligible fraction of the 15-nt oligo-bound riboswitch
was responsi v e to the ligand (Figure 4 F and Supplemen-
tary Figure S6E). Therefore, to function as a transla-
tional riboswitch, the decision must be made before the ar-
rival of the ribosome, assuming ribosome binding happens
only once. In the more realistic case of multiple ribosome
molecules arriving and initiating translation in succession,
the riboswitch activity can be gradational.
Vectorial folding assay disfavors ligand binding compared to
the pr e-f olded riboswitch
Because RNA folds co-transcriptionally, riboswitch func-
tion should be examined in the context of ongoing tran-
scription ( 48 ). Se v eral different methods of mimicking co-
transcriptional riboswitch folding and function are avail-
able ( 44 , 45 , 49–55 ). Here we used the vectorial folding assay
w here a DN A helicase is used to mimic co-transcriptional
RNA folding ( 44 , 45 ). The riboswitch was hybridized with
a complementary DNA oligonucleotide to form an RNA-
(cid:2) overhang at the DNA ter-
DNA heteroduplex with a 3
minus. The same Cy3–Cy5 FRET pair as in our pre-
vious experiments was used to determine the riboswitch
Nucleic Acids Research, 2023, Vol. 51, No. 17 8965
Figur e 5. Vectoriall y f olded assa ys f or mimicking co-transcriptional f olding. ( A ) A scheme showing the engineered superhelicase Rep-X was preincubated
and initia ted a t designa ted time for unwinding the heteroduplex. The riboswitch was hybridized with a complementary DNA oligonucleotide to form an
RN A-DN A heteroduplex with a 3 (cid:2) overhang at the DNA terminus. The same Cy3–Cy5 FRET pair was used to determine the riboswitch conformations. ( B )
Distribution of E FRET before introducing ATP, corresponding to the heteroduplex conformation. ( C ) Distribution of E FRET after vectorially folding, cor-
responding to the conformations released from the heteroduplex. ( D ) A typical trajectory showing a heteroduplex is unwound and folded into the constant
high FRET conformation, where the ATP is flowed in at 12 s. ( E ) Histograms of relati v e populations in the presence of various SAM concentrations.
conformation (Figure 5 A). A highly processi v e, engineered
DNA helicase, Rep-X ( 46 ), was used to unwind the het-
eroduplex unidirectionally by translocating on the DNA
(cid:2) direction, to release the RNA strand
(cid:2) to 5
strand in the 3
(cid:2) direction of transcription and at
(cid:2) to 3
progressi v ely in the 5
the speed of transcription, about ∼60 nt per second ( 44 , 45 ).
Upon Rep-X addition without ATP, we observed low
FRET efficiency ( E FRET = 0.2) because the fluorophores
remain separated by the heteroduplex (Figure 5 B). After
ATP addition, two new populations centered at 0.4 and
0.84 emerged, corresponding to the open and closed con-
formations, respecti v ely (Figure 5 C). A representati v e v ec-
torial folding trace shows two features (Figure 5 D). First,
Cy3 intensity shows a transient increase due to protein-
induced fluorescence enhancement ( 56 , 57 ), signifying Rep-
X approaching the Cy3 fluorophore on the RNA strand.
Second, the heteroduplex unwinds and riboswitch fold-
ing begins. We classified the riboswitch folding behavior
into four types (Supplementary Figure S7A) : (i) molecules
that transitioned from the heteroduplex state to the stable
closed conformation without any detectable intermediate,
(ii) molecules that transitioned from the heteroduplex state
to the stable open conformation, (iii) molecules that transi-
tioned from the heteroduplex state to one undergoing fluc-
tuations between the open and closed conformations and
(iv) molecules that transitioned from the heteroduplex to
the stable closed conformation after first fluctuating be-
tween open and closed states. These distinct populations
are in agreement with the observed conformations for pre-
folded riboswitches except for the type (iv), likely because
this behavior is observable only on the path to reach fold-
ing equilibrium.
Addition of ligand during vectorial folding changed the
relati v e populations of the four types of folding behavior.
Type I, direct transition to stable high-FRET state, became
more popula ted a t higher ligand concentra tions (Figure 5 E)
and its fraction vs ligand concentration could be well fit-
ted using a two-state binding isotherm (Supplementary Fig-
ure S7B), yielding an apparent K d value of 108 (cid:2)M. This
apparent K d is an order of magnitude higher than the K d
value of 10 (cid:2)M we observed for pre-folded RNA, suggest-
ing ligand-responsi v e conforma tion is not immedia tely ob-
tained during co-transcriptional folding. We hypothesized
that the increase in K d is due to insufficient time for the
nascent riboswitch to reach the stead y-sta te conforma tions.
Indeed, as shown in Supplementary Figure S7C, the con-
formational analyses of time points after vectorial folding
e xhibited noticeab le differences. Specifically, the conforma-
tions observed at 5 seconds post-folding displayed a lower
fraction of high-FRET population and decreased respon-
si v eness to ligand. These results imply that the nascent ri-
boswitch necessitates more than a few seconds to attain a
8966 Nucleic Acids Research, 2023, Vol. 51, No. 17
Figure 6. Pseudo-functional studies for assessing the accessibility of the translation initiation site during vectorially folding. ( A ) A scheme showing SAM,
oligonucleotides, and ATP are flowed in sim ultaneousl y for simulating competition over mutually e xclusi v e conformations during co-transcriptional fold-
ing. The oligonucleotide-bound state is termed ‘ON’ sta te, indica ting transla tion can be initia ted, whereas the ligand-bound sta te is termed ‘OFF’ state,
indicating the Shine–Dalgarno site is blocked. ( B ) Distribution of E FRET for pre-folded riboswitches under simultaneous addition of 9-nt oligonucleotides
and various concentrations of SAM. Similar competitions between oligonucleotides and ligands were carried out while the riboswitches are vectorially
folded and distribution of E FRET with various SAM concentrations is shown in ( D ). Similar competition experiments were carried out with longer 15-nt
oligonucleotides, f or pre-f olded competition, ( C ) distribution of E FRET with various SAM concentrations; for vectorially folded competition ( E ) distribu-
tion of E FRET with various SAM concentrations.
stead y sta te conforma tional distribution, ther eby r educing
its ligand-binding affinity during transcription.
Vectorial folding favors ribosome mimic binding
In the ribosome accessibility assay on pre-folded ri-
boswitches, we found that ligand binding is kinetically fa-
vored over ribosome mimic binding. To test if this result
holds for vectorial folding, we included sa tura ting concen-
tration of-9 nt or 15-nt oligonucleotides during vectorial
folding (Figure 6 A). In the absence of ligand, the closed
conformation was rarely observed, likely because the S–D
r egion r e v ealed thr ough heter oduplex unwinding is bound
by the ribosome mimic before the aptamer can fold into the
closed form (top histogram of Figure 6 D and E). This find-
ing is also in line with our observa tion tha t it takes min
for the nascent riboswitch to attain a stead y-sta te confor-
mational distribution (as demonstrated in Supplementary
Figure S7C).
In the presence of ligand, the closed conformation was
obtained in a ligand-concentration dependent manner. The
efficacy of the ligand in converting the riboswitch to its
closed conforma tion sta te was diminished in the vectorial
folding condition compared to the pre-folded condition for
both ribosome mimics (Figure 6 B–E and Supplementary
Figure S9). The nascent riboswitch likely first adopts the
open conformation, which facilitates ribosome mimic bind-
ing, and reduces the m utuall y e xclusi v e ligand bound con-
formation.
DISCUSSION
We propose a model describing the folding scheme and
its energy landscape based on our findings of multiple
populations of static folds, open or closed and dynamic
switching, and the highly heterogenous switching rates. The
FRET values (0.4 and 0.84) of the switching molecules
wer e indiffer entiable from those with sta tic conforma tions,
suggesting there is significant structural resemblance. We
were surprised that the majority ( ∼55%) of ligand-free ri-
boswitches showed dynamic switching between the closed
and open conformations. Most of the dynamically switch-
ing molecules are responsi v e to ligand, either by population
conversion to the static closed conformation or rate alter-
ations. The observed heterogeneity is likely to be a prop-
erty inherent to the riboswitch because our constructs with
their modifications for surface tethering and fluorescence
imaging showed comparable binding affinity to what was
determined from unmodified RNA in bulk solution. Fur-
thermore, all fiv e single-site mutants we tested show simi-
larl y hetero geneous behavior with onl y their relati v e popu-
lations and kinetics changed.
Mutants examined in this study showed that not only
the populations of static and dynamic populations were
strongly affected, but the rates of switching between con-
formations changed (Supplementary Figure S8). We specu-
la te tha t an y incomplete base pair f ormation of the extended
P1 stem (E-P1) or PK helix may introduce metastable
conformations, leading to heterogeneous folding / unfolding
rates for this riboswitch, and potentially for other func-
tional RNAs that also contain the H-type pseudoknot
( 58–61 ). Such heterogeneity, if present in vivo , may buffer
the riboswitch activity against a wide range of ligand
concentrations.
Our findings are most consistent with the previously pro-
posed hybrid model combining conformation selection &
induced-fit ( 10 ): whereas all conformations are sampled in
the absence of ligand (conformation selection), ligand addi-
tion repopulates the population ensemble by imparting fur-
ther stability to the ligand-bound state (induced-fit). A pre-
vious SAM-II riboswitch study reported that transient con-
formational excursions occur in the absence of ligand, sug-
gesting conformational sampling ( 10 ). Howe v er, they could
not determine if those transient conformations were respon-
si v e to ligands or how folding and ligand binding are pro-
moted through specific structural motifs.
Relevant to our evaluation of the riboswitch’s accessibil-
ity for ribosome mimics, a previous study probed the folding
of the 7-aminomethyl-7-deazaguanine-sensing riboswitch
using a 7 nt long fluorescently labeled oligonucleotides as
transla tional initia tion mimic ( 46 ). They observed bursts
of probe binding and showed that ligand addition reduces
burst duration and extends the intervals between bursts.
Howe v er, the use of fluorescently labeled probes limited
their analysis to sub- K d concentrations. By employing un-
labeled oligonucleotides, we were able to mimic translation
initiation under conditions of saturating ribosome mimic
so that the exposure of the binding site is rate-limiting
and show that the nascent folds adopted have yet to reach
an equilibrium, thus leading to a reduced ligand binding
affinity.
In the vectorial f olding assa y, we observed a decrease in
ligand binding affinity (Figure 6 and Supplementary Fig-
ur e S9), r esulting in a r eduction in the effecti v eness of lig-
and binding when competing with a ribosome mimic. These
differ ences between pr e-f olded and vectorially f olded ri-
boswitches suggest that the timing of regulatory decision
is critical to the effecti v eness of the riboswitch and may ex-
plain the r equir ement f or higher ligand concentration f or ef-
fecti v e regulatory control in vivo ( 62 ) . It is possible that there
ar e differ ent modes of r egulating accessibility, and the tim-
ing of transcription and translation coupling. For tighter
regulation, riboswitch needs to reach equilibrium first, thus
transcription needs to be carried out in advance of trans-
lation. Howe v er, when regulation needs not to be tight, the
transcription and translation can happen simultaneously.
In conclusion, our studies on this small SAM / SAH ri-
boswitch provide valuable insights into the complexities of
the folding landscape, including individual folding hetero-
geneity and the role of RNA folding kinetics. Furthermore,
our findings have implications for the translational control
governed by the riboswitch, highlighting the critical influ-
ence of folding equilibrium on the efficacy of regulatory
decisions.
DA T A A V AILABILITY
Analyses and data acquisition codes are upload on lab
GitHub account and archi v ed in Zenodo with the following
doi. Additionally, raw data that support our findings have
Nucleic Acids Research, 2023, Vol. 51, No. 17 8967
been uploaded and archi v ed in Zenodo, corresponding to
each individual figure.
GitHub: https://github.com/Ha-SingleMoleculeLab
Analyses , data acquisition codes , and raw data are
archi v ed in Zenodo:
Raw data analysis DOI: 10.5281 / zenodo.4925617
Data acquisition DOI: 10.5281 / zenodo.4925630
Raw data DOI: 10.5281 / zenodo.8088172
SUPPLEMENT ARY DA T A
Supplementary Data are available at NAR Online.
ACKNOWLEDGEMENTS
We thank Prof. Hui-Ting Lee, Dr Olivia Yang, Dr Boyang
Hua, and the members of the Ha laboratory and Sua My-
ong laboratory for their input and support. All the authors
w ould lik e to expr ess their gratitude to the funding sour ce
for their generous support.
FUNDING
US National Institutes of Health [R35 GM 122569 to
T.H. and F32 GM 139268 to L.R.G.]; Cancer Research
UK [Progr am gr ant A18604]; EPSRC [EP / X01567X / 1 to
D.M.J.L.]; National Natural Science Foundation of China
[32171191 to L.H.]; Guangdong Science and Technol-
ogy Department [2022A1515010328, 2020B1212060018,
2020B1212030004 to L.H.]; T.H. is an investigator of the
Howard Hughes Medical Institute. Funding for open ac-
cess charge: U.S. Department of Health and Human Ser-
vices [R35 GM 122569].
Conflict of interest statement. None declared.
REFERENCES
1. Mccown,P.J., Corbino,K.A., Stav,S., Sherlock,M.E. and
Breaker,R.R. (2017) Riboswitch di v ersity and distribution. RNA , 23 ,
995–1011.
2. Serganov,A. and Nudler,E. (2013) A decade of riboswitches. Cell ,
152 , 17–24.
3. Sherwood,A.V. and Henkin,T.M. (2016) Riboswitch-mediated gene
regulation: novel RNA architectures dictate gene expression
responses. Annu. Rev. Microbiol. , 70 , 361–374.
4. Speed,M.C., Burkhart,B.W., Picking,J.W. and Santangelo,J. (2018)
An Archaeal Fluoride-Responsi v e Riboswitch Provides an Inducible
Expression System for Hyperthermophiles. Appl. Environ. Microbiol. ,
84 , e02306-17.
5. Wachter,A., Tunc-Ozdemir,M., Grove,B.C., Green,P.J.,
Shintani,D.K. and Breaker,R.R. (2007) Riboswitch control of gene
expression in plants by splicing and alternative 3 (cid:2) end processing of
mRNAs. Plant Cell , 19 , 3437–3450.
6. Moldo van,M.A., Petro va,S.A. and Gelfand,M.S. (2018) Comparati v e
genomic analysis of fungal TPP-riboswitches. Fungal Genet. Biol. ,
114 , 34–41.
7. Li,S. and Breaker,R.R. (2013) Eukaryotic TPP riboswitch regulation
of alternati v e splicing involving long-distance base pairing. Nucleic
Acids Res. , 41 , 3022–3031.
8. Andreasson,J.O.L., Savinov,A., Block,S.M. and Greenleaf,W.J. (2020)
Comprehensi v e sequence-to-function mapping of cofactor-dependent
RN A catal ysis in the glmS ribozyme. Nat. Commun. , 11 , 1663.
9. Valeri,J.A., Collins,K.M., Ramesh,P., Alcantar,M.A., Lepe,B.A.,
Lu,T.K. and Camacho,D.M. (2020) Sequence-to-function deep
learning frame wor ks for engineer ed ribor egulators. Nat. Commun. ,
11 , 5058.
8968 Nucleic Acids Research, 2023, Vol. 51, No. 17
10. Haller,A., Rieder,U., Aigner,M., Blanchard,S.C. and Micura,R.
(2011) Conformational capture of the SAM-II riboswitch. Nat.
Chem. Biol. , 7 , 393–400.
11. Savinov,A., Perez,C.F. and Block,S.M. (2014) Single-molecule studies
of riboswitch folding. Biochim. Biophys. Acta - Gene Regul. Mech. ,
1839 , 1030–1045.
12. Holmstrom,E.D., Polaski,J.T., Batey,R.T. and Nesbitt,D.J. (2014)
Single-molecule conformational dynamics of a biolo gicall y functional
hydro x ocobalamin riboswitch. J. Am. Chem. Soc. , 136 , 16832–16843.
13. Panchal,V. and Brenk,R. (2021) Riboswitches as drug targets for
antibiotics. Antibiotics , 10 , 45.
14. Hallberg,Z.F., Su,Y., Kitto,R.Z. and Hammond,M.C. (2017)
Engineering and in vivo applications of riboswitches. Annu. Rev.
Biochem. , 86 , 515–539.
15. Loenen,W.A.M. (2006) S-Adenosylmethionine: jack of all trades and
master of e v erything? Biochem. Soc. T r ans . , 34 , 330–333.
16. Kredich,N.M. and Hershfield,M.S. (1979) S-adenosylhomocysteine
toxicity in normal and adenosine kinase-deficient lymphoblasts of
human origin. Proc. Natl. Acad. Sci. U.S. A. , 76 , 2450–2454.
17. Schubert,H.L., Blumenthal,R.M. and Cheng,X. (2003) Many paths
to methyltr ansfer : a chronicle of convergence. T r ends Biochem. Sci. ,
28 , 329–335.
18. Roje,S. (2006) S-Adenosyl-l-methionine: beyond the uni v ersal methyl
group donor. Phytoc hemistr y , 67 , 1686–1698.
19. Cantoni,G.L. (1975) Biological methylation: selected aspects. Annu.
Rev. Biochem. , 44 , 435–451.
20. Posnick,L.M. and Samson,L.D. (1999) Influence of
S-adenosylmethionine pool size on spontaneous mutation, dam
methylation, and cell growth of Escherichia coli. J. Bacteriol. , 181 ,
6756–6762.
21. Price,I.R., Grigg,J.C. and Ke,A. (2014) Common themes and
differences in SAM recognition among SAM riboswitches. Biochim.
Biophys. Acta - Gene Regul. Mech. , 1839 , 931–938.
34. Gilbert,S.D., Rambo,R.P., Van Tyne,D. and Batey,R.T. (2008)
Structure of the SAM-II riboswitch bound to S-adenosylmethionine.
Nat. Struct. Mol. Biol. , 15 , 177–182.
35. Weickhmann,A.K., Keller,H., Wurm,J.P., Strebitzer,E., Juen,M.A.,
Kremser,J., Weinberg,Z., Kreutz,C., Duchardt-Ferner,E. and
W ¨ohnert,J. (2019) The structure of the SAM / SAH-binding
riboswitch. Nucleic Acids Res. , 47 , 2654–2665.
36. Huang,L., Liao,T.W., Wang,J., Ha,T. and Lilley,D.M.J. (2020)
Crystal structure and ligand-induced folding of the SAM / SAH
riboswitch. Nucleic Acids Res. , 48 , 7545–7556.
37. Ha,T ., Enderle,T ., Ogletree,D .F., Chemla,D .S., Selvin,P.R. and
Weiss,S. (1996) Probing the interaction between two single molecules:
fluor escence r esonance energy transfer between a single donor and a
single acceptor. Proc. Natl. Acad. Sci. U.S.A. , 93 , 6264–6268.
38. Beaucage,S.L. and Caruthers,M.H. (1981) Deoxynucleoside
phosphoramidites-A new class of key intermediates for
deoxypolynucleotide synthesis. Tetr ahedr on Lett. , 22 , 1859–1862.
39. Wilson,T.J., Zhao,Z.Y., Maxwell,K., Kontogiannis,L. and
Lilley,D.M.J. (2001) Importance of specific nucleotides in the folding
of the natural form of the hairpin ribozyme. Bioc hemistr y , 40 ,
2291–2302.
40. Hakimelahi,G.H., Proba,Z.A. and Ogilvie,K.K. (1981) High yield
selecti v e 3 (cid:2) -silylation of ribonucleosides. Tetrahedron Lett. , 22 ,
5243–5246.
41. Perreault,J., Wutt,T., Cousineau,B., Ogilviett,K.K. and Cedergren,R.
(1990) Mixed deoxyribo- and ribo-oligonucleotides with catalytic
activity. Nature , 344 , 1988–1990.
42. Roy,R., Hohng,S. and Ha,T. (2008) A practical guide to
single-molecule FRET. Nat. Methods , 5 , 507–516.
43. Van De Meent,J.W., Bronson,J.E., Wiggins,C.H. and Gonzalez,R.L.
(2014) Empirical bayes methods enable advanced population-level
analyses of single-molecule FRET experiments. Biophys. J. , 106 ,
1327–1337.
22. Huang,L. and Lilley,D.M.J. (2018) Structure and ligand binding of
44. Hua,B., Panja,S., Wang,Y., Woodson,S.A. and Ha,T. (2018)
the SAM-V riboswitch. Nucleic Acids Res. , 46 , 6869–6879.
23. Fuchs,R.T., Grundy,F.J. and Henkin,T.M. (2006) The SMK box is a
Mimicking co-transcriptional RNA folding using a superhelicase. J.
Am. Chem. Soc. , 140 , 10067–10070.
new SAM-binding RNA for translational regulation of SAM
synthetase. Nat. Struct. Mol. Biol. , 13 , 226–233.
24. Lu,C., Smith,A.M., Fuchs,R.T., Ding,F., Rajashankar,K.,
Henkin,T.M. and Ke,A. (2008) Crystal structures of the
SAM-III / SMK riboswitch re v eal the SAM-dependent translation
inhibition mechanism. Nat. Struct. Mol. Biol. , 15 , 1076–1083.
25. Sun,A., Gasser,C., Li,F., Chen,H., Mair,S., Krasheninina,O.,
Micura,R. and Ren,A. (2019) SAM-VI riboswitch structure and
signature for ligand discrimination. Nat. Commun. , 10 , 5728.
26. Wang,J.X., Lee,E.R., Morales,D.R., Lim,J. and Breaker,R.R. (2008)
Riboswitches that sense S-adenosylhomocysteine and activate genes
involved in coenzyme recycling. Mol. Cell , 29 , 691–702.
27. Montange,R.K. and Batey,R.T. (2006) Structure of the
S-adenosylmethionine riboswitch regulatory mRNA element. Nature ,
441 , 1172–1175.
28. Mirihana Arachchilage,G., Sherlock,M.E., Weinberg,Z. and
Breaker,R.R. (2018) SAM-VI RNAs selecti v ely bind
S-adenosylmethionine and exhibit similarities to SAM-III
riboswitches. RNA Biol , 15 , 371–378.
29. Winkler,W.C., Nahvi,A., Sudarsan,N., Barrick,J.E. and Breaker,R.R.
(2003) An mRNA structure that controls gene expression by binding
S-adenosylmethionine. Nat. Struct. Biol. , 10 , 701–707.
30. Weinberg,Z., Regulski,E.E., Hammond,M.C., Barrick,J.E., Yao,Z.,
Ruzzo,W.L. and Breaker,R.R. (2008) The aptamer core of SAM-IV
riboswitches mimics the ligand-binding site of SAM-I riboswitches.
RNA , 14 , 822–828.
31. Weinberg,Z., Wang,J.X., Bogue,J., Yang,J., Corbino,K., Moy,R.H.
and Breaker,R.R. (2010) Comparati v e genomics re v eals 104
candidate structured RNAs from bacteria, archaea, and their
metagenomes. Genome Biol. , 11 , R31.
32. Corbino,K.A., Barrick,J.E., Lim,J., Welz,R., Tucker,B.J., Puskarz,I.,
Mandal,M., Rudnick,N.D. and Breaker,R.R. (2005) Evidence for a
second class of S-adenosylmethionine riboswitches and other
regulatory RNA motifs in alpha-proteobacteria. Genome Biol. , 6 ,
R70.
45. Hua,B., Jones,C.P., Mitra,J., Murray,P.J., Rosenthal,R.,
Ferr ´e-D’Amar ´e,A.R. and Ha,T. (2020) Real-time monitoring of
single ZTP riboswitches re v eals a complex and kinetically controlled
decision landscape. Nat. Commun. , 11 , 4531.
46. Arslan,S., Khafizov,R., Thomas,C.D., Chemla,Y.R. and Ha,T. (2015)
Engineering of a superhelicase through conformational control.
Science , 348 , 344–347.
47. Rinaldi,A.J., Lund,P.E., Blanco,M.R. and Walter,N.G. (2016) The
Shine–Dalgarno sequence of riboswitch-regulated single mRNAs
shows ligand-dependent accessibility bursts. Nat. Commun. , 7 , 8976.
48. Gong,S., Wang,Y., Wang,Z. and Zhang,W. (2017) Co-transcriptional
folding and regulation mechanisms of riboswitches. Molecules , 22 ,
1–14.
49. Duss,O., Stepanyuk,G.A., Puglisi,J.D. and Williamson,J.R. (2019)
Transient protein-RNA interactions guide nascent ribosomal RNA
folding. Cell , 179 , 1357–1369.e16.
50. Rodgers,M.L. and Woodson,S.A. (2019) Transcription increases the
cooperativity of ribonucleoprotein assembly. Cell , 179 , 1370–1381.
51. Juette,M.F., Terry,D.S., Wasserman,M.R., Altman,R.B., Zhou,Z.,
Zhao,H. and Blanchard,S.C. (2016) Single-molecule imaging of
non-equilibrium molecular ensembles on the millisecond timescale.
Nat. Methods , 13 , 341–344.
52. Uhm,H., Kang,W., Ha,K.S., Kang,C. and Hohng,S. (2017)
Single-molecule FRET studies on the cotranscriptional folding of a
thiamine pyrophosphate riboswitch. Proc. Natl. Acad. Sci. U.S.A. ,
115 , 331–336.
53. Yu,A.M., Gasper,P.M., Cheng,L., Lai,L.B., Kaur,S., Gopalan,V.,
Chen,A.A. and Lucks,J.B. (2021) Computationally reconstructing
cotranscriptional RNA folding from experimental data reveals
rearrangement of non-nati v e folding intermediates. Mol. Cell , 81 ,
870–883.
54. Strobel,E.J., Watters,K.E., Nedialkov,Y., Artsimovitch,I. and
Lucks,J.B. (2017) Distributed biotin-streptavidin transcription
roadblocks for mapping cotranscriptional RNA folding. Nucleic
Acids Res. , 45 , e109.
33. Poiata,E., Meyer,M.M., Ames,T.D. and Breaker,R.R. (2009) A
55. Chauvier,A., St-Pierre,P., Nadon,J.F., Hien,E.D.M.,
variant riboswitch aptamer class for S-adenosylmethionine common
in marine bacteria. RNA , 15 , 2046–2056.
Perez-Gonzalez,C., Eschbach,S.H., Lamontagne,A.M., Carlos
Penedo,J. and Lafontaine,D.A. (2021) Monitoring RNA dynamics in
Nucleic Acids Research, 2023, Vol. 51, No. 17 8969
nati v e transcriptional complexes. Proc. Natl. Acad. Sci. U.S.A. , 118 ,
e2106564118.
59. Staple,D.W. and Butcher,S.E. (2005) Pseudoknots: RNA structures
with di v erse functions. PLoS Biol. , 3 , 0956–0959.
56. Pettigrew,N.R., Thomas,A.C., Mcmanus,M.A., Paduan,J.D.,
60. Shen,L.X. and Tinoco,I. (1995) The structure of an RNA
Chavez,F.P., Nielsen,T.G., Desiderio,R.A., Carr,M., Osborn,T.R.,
Abe,T. et al. (2009) Cytosolic viral sensor RIG-I is a
5 (cid:2) -triphosphate-dependent translocase on double-stranded RNA.
Science , 323 , 1070–1074.
57. Hwang,H., Kim,H. and Myong,S. (2011) Protein induced
fluorescence enhancement as a single molecule assay with short
distance sensitivity. Proc. Natl. Acad. Sci. U.S.A. , 108 , 7414–7418.
58. Egli,M., Minasov,G., Su,L. and Rich,A. (2002) Metal ions and
flexibility in a viral RNA pseudoknot at atomic resolution. Proc.
Natl. Acad. Sci. U.S.A. , 99 , 4302–4307.
pseudoknot that causes efficient frameshifting in mouse mammary
tumor virus. J. Mol. Biol. , 247 , 963–978.
61. Wang,Y., Yesselman,J.D., Zhang,Q., Kang,M. and Feigon,J. (2016)
Structural conservation in the template / pseudoknot domain of
vertebr ate telomer ase RNA from teleost fish to human. Proc. Natl.
Acad. Sci. U.S.A. , 113 , E5125–E5134.
62. Neuner,E., Frener,M., Lusser,A. and Micura,R. (2018) Superior
cellular activities of azido- over amino-functionalized ligands for
engineer ed pr eQ1 riboswitches in E.coli. RNA Biol. , 15 , 1376–1383.
C (cid:3) The Author(s) 2023. Published by Oxford University Press on behalf of Nucleic Acids Research.
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ial, or not-for-profit sectors.
Availability of data and materials
The data that support the findings of this study are available from the National
Health Insurance Service in the Republic of Korea, but restrictions apply to the
availability of these data, which were used under license for the current study
and so are not publicly available. Data are, however, available from the authors
Son et al. BMC
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Availability of data and materials The data that support the findings of this study are available from the National Health Insurance Service in the Republic of Korea, but restrictions apply to the availability of these data, which were used under license for the current study and so are not publicly available. Data are, however, available from the authors
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Son et al. BMC Cardiovascular Disorders (2022) 22:44
https://doi.org/10.1186/s12872-022-02488-x
ORIGINAL RESEARCH
Open Access
Risk of aortic aneurysm and aortic dissection
with the use of fluoroquinolones in Korea:
a nested case–control study
Nayeong Son†, Eunmi Choi†, Soo Youn Chung, Soon Young Han and Bonggi Kim*
Abstract
Background: Recent studies have raised concern about the association of fluoroquinolones with an increased risk of
aortic aneurysm and aortic dissection. We aimed to evaluate such risk in a Korean population.
Methods: We conducted a nested case–control study using data from the National Health Insurance Service col-
lected from 2013 to 2017 in Korea. The study cohort included patients older than 40 years and excluded patients who
had used fluoroquinolones or been diagnosed with aortic aneurysm, aortic dissection, or related diseases 1 year prior
to the cohort entry date. We randomly matched four controls in the risk set with each case of aortic aneurysm and
aortic dissection (same sex, age, and cohort entry date). We assessed the risk of aortic aneurysm and aortic dissection
from fluoroquinolones and adjusted for potential confounders using a conditional logistic regression model.
Results: A total of 29,638 aortic aneurysm and aortic dissection patients were identified between 2014 and 2017. The
use of fluoroquinolones within a year was associated with a 10% increased risk of aortic aneurysm and aortic dissec-
tion (adjusted odds ratio: 1.10, 95% CI 1.07–1.14, p < 0.05) compared with nonusers. The risk was higher in patients
who had used fluoroquinolones within 60 days (adjusted odds ratio: 1.53, 95% CI 1.46–1.62, p < 0.05). The risk of aortic
aneurysm and aortic dissection positively correlated with the cumulative dose and duration of fluoroquinolone
therapy (p < 0.001).
Conclusions: Our study provides real-world evidence of the risk of aortic aneurysm and aortic dissection from fluo-
roquinolones in Korea. Patients and medical professionals should be aware that fluoroquinolones can increase the risk
of aortic aneurysm and aortic dissection, which may be acerbated by high dosage and duration of use.
Keywords: Fluoroquinolone, Aortic aneurysm, Aortic dissection, Drug safety, Pharmacovigilance, Adverse effect
Background
Fluoroquinolones (FQs) are among the most widely
used antibiotics in Korea, and their use has consistently
increased to account for 9 to 11% of all antibiotic use
[1]. Although FQs are powerful antibiotics with a wide
antibacterial spectrum [2], they induce degradation of
collagen and other structural components of the extra-
cellular matrix by stimulating matrix metalloproteinases
[3]. The possibility of excessive tissue breakdown by this
mechanism has raised concern about the risk of adverse
*Correspondence: bgkim@drugsafe.or.kr
†Nayeong Son and Eunmi Choi are co-first authors and contributed
equally. All the authors take responsibility for all aspects of the reliability
and freedom from bias of the data presented and their discussed
interpretation
Korea Institute of Drug Safety and Risk Management, 6th FL, 30, Burim-ro
169beon-gil, Dongan-gu, Anyang-si, Gyeonggi-do, Republic of Korea
© The Author(s) 2022. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which
permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the
original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or
other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line
to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory
regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this
licence, visit http:// creat iveco mmons. org/ licen ses/ by/4. 0/. The Creative Commons Public Domain Dedication waiver (http:// creat iveco
mmons. org/ publi cdoma in/ zero/1. 0/) applies to the data made available in this article, unless otherwise stated in a credit line to the data.
Son et al. BMC Cardiovascular Disorders (2022) 22:44
Page 2 of 9
reactions, such as aortic aneurysm (AA) and aortic dis-
section (AD).
In December 2018, the U.S. Food and Drug Adminis-
tration warned that FQs can increase the occurrence of
rare but serious ruptures or tears in the aorta. The warn-
ing included special caution for patients with a history
of aneurysms, blockages, or hardening of the arteries,
high blood pressure, or genetic conditions such as Mar-
fan or Ehlers–Danlos syndrome and instructed patients
to inform their health-care professional before starting a
fluoroquinolone prescription [4]. Following that warning,
the Ministry of Food and Drug Safety in Korea issued a
safety letter warning about the potential association of
fluoroquinolone use and the risk of AA/AD [5].
Many observational studies have suggested that fluo-
roquinolone use could be significantly associated with
an increased risk of AA/AD [3, 6–9]. Recently, a systemic
review and meta-analysis showed that fluoroquinolone
use incurs a risk of developing three collagen-associated
diseases, including AA/AD [10]. However, it has not yet
been established whether fluoroquinolone use increases
the risk of AA/AD in the Korean population. This study
aims to evaluate the association between fluoroquinolone
use and the risk of AA/AD in the Korean population.
Methods
Data source
Insurance Service
We conducted a nested case-control study using National
(NHIS)-customized data
Health
(NHIS-2019-1-024). The NHIS database covers almost
98% of the total population in Korea. It contains patient
demographic information such as sex, date of birth, date
of death, and medical treatment records, including details
of disease and prescriptions [11]. The authors declare no
conflicts of interest with NHIS.
Study population
The study population comprised all patients aged 40 to
99 years 2014–2017 in the NHIS database. The date of
1 January 2014 was defined as the cohort entry date for
patients aged 40 years or older in 2014. For patients aged
less than 40 years in 2014, we established the cohort entry
date as the first day of the year that the patient became 40
years old. We excluded 510,805 patients who:
• Had taken FQs more than once during the year prior
to the cohort entry date
• Were diagnosed with AA/AD during the year prior
to the cohort entry date
• Were diagnosed with underlying related diseases
(atherosclerosis of the aorta, arteritis, aortitis,
Lerche’s syndrome, coarctation of the aorta, Marfan’s
syndrome, valve diseases, endocarditis, congenital
malformations of valves, heart failure) (Additional
file 1: Table S1) during the year prior to the cohort
entry date.
Case selection
From the cohort, we identified 29,638 patients aged 40
years or older who had experienced AA/AD from 2014
to 2017 according to the definition of health outcomes of
interest “Statistical analysis” section . Patients in the case
group were observed from the cohort entry date to the
index date, which was defined as the first date of diagno-
sis of AA/AD.
Control selection
After we stratified the case group based on age and sex,
we created a risk set for each case using patients who
were of the same sex and age as those with AA/AD and
did not have a history of an AA/AD diagnosis. The size
of the risk set was 20 times the sample size of each stra-
tum. We randomly matched four controls in the risk set.
Patients in the control group were observed from the
cohort entry date to the index date of matched cases.
Health outcomes of interest
The outcome of the main analysis was defined as a diag-
nosis of AA/AD after entry to the cohort. Incident cases
were defined as those who had received an ICD 10 code
I71 (ICD 10 I71.0–I71.9) for all kinds of AA/AD. The
outcome for the sensitivity analysis was redefined as a
diagnosis of AA/AD in addition to having received a
laboratory test specific for AA/AD (abdominal/thoracic
aortography, computed tomography (CT), magnetic res-
onance imaging, ultrasonography, Doppler echocardiog-
raphy, transesophageal/transthoracic echocardiography,
abdominal vascular ultrasonography, or aorta Doppler
ultrasonography) within 28 days prior to the diagnosis.
The diagnosis and treatment of AA/AD were based on
the ACCF/AHA/AATS/ACR/ASA/SCA/SCAI/SIR/STS/
SVM guideline in the general Korean hospitals [12]. The
first date of diagnosis was defined as the index date for
cases and matched controls.
Exposure
The exposure of interest was the use of a fluoroquinolone
(balofloxacin, ciprofloxacin, enoxacin, gatifloxacin, gemi-
floxacin, levofloxacin, lomefloxacin, moxifloxacin, nor-
floxacin, ofloxacin, tosufloxacin, and zabofloxacin) in the
year prior to the index date.
We categorized fluoroquinolone users as current,
recent, or past users according to the time from the end
of supply of the fluoroquinolone prescription to the index
date. In this definition, ‘termination of fluoroquinolone
Son et al. BMC Cardiovascular Disorders (2022) 22:44
Page 3 of 9
exposure’ means the end of supply of the fluoroquinolone
prescription. Current users were defined as patients who
had terminated fluoroquinolone exposure within the 60
days prior to the index date. Recent users were defined
as patients who had terminated fluoroquinolone expo-
sure 61–120 days prior to the index date. Past users were
defined as patients who had terminated fluoroquinolone
exposure 121–365 days prior to the index date.
To investigate the effects of cumulative dose and dura-
tion of FQ exposure on the prevalence of AA/AD, we
categorized fluoroquinolone users into three groups
according to the quantiles of duration and into four
groups according to the quantiles of cumulative dose. The
duration was calculated as the sum of the total days of
supply for each prescription in the year prior to the index
date. The first and third quantiles of the cumulative days
of supply were found to be 2 and 14 days, respectively.
We represented the cumulative dose in the year prior to
the index date in terms of the defined daily dose (DDD),
as defined by the anatomical therapeutic chemical clas-
sification system. The first, second, and third quantiles of
cumulative dose were found to be 4 DDD, 7.5 DDD, and
15 DDD, respectively.
The NHIS dataset included the Korean ingredient
code of the drug, the date the prescription was written,
the number of days of supply, and the quantity. We used
these data to identify prescriptions for FQs and any con-
comitantly used drugs.
Statistical analysis
Pearson Chi-square tests and Fisher’s exact test were
used for the analysis of categorical variables. The odds
ratios of the association between FQ use and AA/AD
were calculated using multivariate conditional logistic
regression analysis. We considered covariates known to
be related to AA/AD or fluoroquinolone use from pre-
vious studies and included them as confounders in the
model [3, 6–9]. The covariates are listed in Table 1. We
also tested the tendency of AA/AD to occur with changes
in timing, cumulative dose, and duration of FQ use using
the Cochran-Armitage trend test. All data processing and
statistical analyses were performed using SAS 9.4 and R
5.3.1 using two-sided tests, and a p value of < 0.05 was
considered significant.
Results
Demographic and clinical characteristics
The final study population was composed of 148,190
patients, including 29,638 cases and 118,552 controls.
Table 1 shows the baseline characteristics of the study
population. This cohort comprised 92,645 male patients
(62.5%) and 55,545 female patients (37.5%). More than
half of the study population was 60–69 years old (23.7%)
or 70–79 years old (32.0%). Patients in the AA/AD case
group had a higher prevalence of cerebrovascular dis-
ease and cardiovascular disorders such as arterial disease
and ischemic heart disease. In the year prior to the index
date. Patients in the AA/AD case group were more often
users of angiotensin-converting enzyme inhibitors, anti-
arrhythmics, anticonvulsants, etc. from the cohort entry
date to the index date and experienced more cardiac or
aortic procedures and surgeries in the previous year.
Association between AA/AD and FQ use
During the observation period (1 year before the index
date), 8562 cases (28.9%) and 25,387 controls (21.4%)
received at least one prescription for FQs. Table 2 and
Figure 1 show the results of the conditional logistic
regression analysis. The adjusted odds ratio was 1.10
(95% CI 1.07–1.14, p < 0.05) during the 1-year observa-
tion period. However, the risk was substantially higher
in current users (adjusted OR 1.53, 95% CI 1.46–1.62,
p < 0.05). FQ use did not have a significant association
with AA/AD in recent users (adjusted OR 1.00, 95% CI
0.93–1.07, p < 0.05). The risk was even lower in past users
(adjusted OR 0.92, 95% CI 0.87–0.96, p < 0.05).
The risk of AA/AD was studied according to the dura-
tion of exposure and the cumulative dose of FQs. In this
study, 25% of FQ users were exposed to FQs for 2 days
or less. On the other hand, 25% of the FQ users were
exposed to FQs for more than 14 days. Among them,
50% of the FQ users were exposed to FQs for between 3
days and 13 days. We used the same covariates as those
adopted for the primary analysis. Patients who used FQs
for less than three days had a lower risk of AA/AD than
nonusers (adjusted OR 0.87, 95% CI 0.82–0.92, p < 0.05).
However, the risk was significantly higher in patients
who had used FQs for between three days and 13 days
(adjusted OR 1.14, 95% CI 1.09–1.19, p < 0.05) and was
highest in patients who used FQs for more than 14 days
(adjusted OR 1.33, 95% CI 1.26–1.40, p < 0.05).
FQ users were categorized into four groups with regard
to dose (low, mid-low, mid-high, or high) according to
the quantiles of cumulative dose. Patients in the low-
dose group had used FQs less than 4 DDDs during the
observation period. Patients in the mid-low dose group
and mid-high dose group had used 4 DDDs to 7.5 DDDs
and 7.5 DDDs to 15 DDDs, respectively. Patients in the
high-dose group had used more than 15 DDDs during
the observation period. Compared with nonusers, the
risk of AA/AD in the low-dose group (<4 DDDs) was not
significantly higher (adjusted OR 0.97, 95% CI 0.89–1.04,
p > 0.05). However, the risk was significantly higher in
patients who had used FQs at more than 4 DDDs. Spe-
cifically, the adjusted odds ratio of AA/AD was 1.25 (95%
CI 1.16–1.34, p < 0.05) in the mid-low dose group, 1.29
Son et al. BMC Cardiovascular Disorders (2022) 22:44
Page 4 of 9
Table 1 Demographics and clinical characteristics of the study population
Case (29,638)
Control (118,552)
p value*
Sex
Male
Female
Age (year)
40–49
50–59
60–69
70–79
80–89
90
+
Underlying disease
Cerebrovascular disease
Arterial disease
Ischemic heart disease
Cardiac valve disease
Conduction disorder
Heart failure or cardiomyopathy
Chronic obstructive pulmonary disease
Pneumonia
Cancer
Liver disease
Renal disease
Rheumatism
Psychiatric disorder
Diabetes
Hypertension
Lipid disorder
Trauma
Obstructive sleep apnea
Asthma
Obesity
Seizure disorder
Decubitus ulcer
Infectious disease
Hypothyrodism
Inflammatory bowel disease
Urinary tract infection
Ehlers–Danlos syndrome
Charlson comorbidity Index
Mean(SD)
0
1
2
3
+
Myocardial infarction
Congestive heart failure
Peripheral vascular disease
Cerebrovascular disease
N
18,529
11,109
2080
4422
7031
9479
5748
878
3124
8227
7845
884
115
2723
10,626
3579
3422
10,520
1773
2005
13,498
9518
19,716
16,673
15,191
73
6747
41
1225
9
13,949
1729
3876
2287
1
(%)
62.5
37.5
7
14.9
23.7
32
19.4
3
10.5
27.8
26.5
3
0.4
9.2
35.9
12.1
11.5
35.5
6
6.8
45.5
32.1
66.5
56.3
51.3
0.2
22.8
0.1
4.1
0
47.1
5.8
13.1
7.7
0
2.67(2.41)
1.86(2.07)
5371
5781
5425
13,061
1377
3731
7376
6913
18.1
19.5
18.3
44.1
4.6
12.6
24.9
23.3
N
74,116
44,436
8320
17,688
28,124
37,916
22,992
3512
6418
22,080
14,715
444
272
4108
31,726
9047
8462
32,012
2902
5720
41,650
33,700
60,520
50,268
53,280
190
19,825
116
3015
26
46,881
5087
11,773
5442
0
37,377
27,124
19,785
34,266
1924
6315
20,782
16,487
(%)
62.5
37.5
7
14.9
23.7
32
19.4
3
5.4
18.6
12.4
0.4
0.2
3.5
26.8
7.6
7.1
27
2.4
4.8
35.1
28.4
51
42.4
44.9
0.2
16.7
0.1
2.5
0
39.5
4.3
9.9
4.6
0
31.5
22.9
16.7
28.9
1.6
5.3
17.5
13.9
1
1
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
0.002
< 0.001
0.069
< 0.001
0.526
< 0.001
< 0.001
< 0.001
< 0.001
0.2
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
Son et al. BMC Cardiovascular Disorders (2022) 22:44
Page 5 of 9
Table 1 (continued)
Dementia
Chronic pulmonary diseases
Connective tissue disease
Peptic ulcer
Mild liver diseases
Uncomplicated diabetes
Diabetes complicated with retinopathy, neuropathy, renal disease
Hemiplegia
Moderate or severe renal diseases
Nonmetastatic solid cancer, leukemia, lymphoma, multiple myeloma
Moderate or severe liver diseases
Metastatic solid cancer
AIDS/HIV
Medication use**
Angiotensin-converting enzyme inhibitors
Antiarrhythmic
Anticonvulsant
Antidepressant
Immunodepressant
Anticoagulant
β-blocker
Oral hypoglycemic agent
Benzodiazepine
Calcium Channel Blockers
corticosteroid
Disease-modifying antirheumatic drugs
Insulin
Loop diuretics
Nonsteroidal anti-inflammatory drugs
Antipsychotic
Peripheral vasodilators
Lipid-lowering agent
Parkinson medication
Hydroxyzine
Cardiac or aortic procedure/surgery
*The p values are results from Chi-square or Fisher’s exact tests
Case (29,638)
Control (118,552)
p value*
N
3995
13,066
1827
10,817
9697
106
2868
936
1773
3288
180
337
7
1119
13,410
3375
5542
8901
20,898
7664
3935
10,934
13,194
16,632
618
1136
3483
23,354
7588
3425
11,079
1990
2616
287
(%)
13.5
44.1
6.2
36.5
32.7
0.4
9.7
3.2
6
11.1
0.6
1.1
0
3.8
45.2
11.4
18.7
30
70.5
25.9
13.3
36.9
44.5
56.1
2.1
3.8
11.8
78.8
25.6
11.6
37.4
6.7
8.8
1
N
11,955
40,316
5172
33,712
29,509
427
10,911
2016
2902
8082
545
765
25
2174
34,164
8889
14,066
27,220
68,727
15,373
18,862
30,683
38,216
56,174
1559
2876
5350
82,504
23,261
4115
31,002
6220
8049
251
(%)
10.1
34
4.4
28.4
24.9
0.4
9.2
1.7
2.4
6.8
0.5
0.6
0
1.8
28.8
7.5
11.9
23
58
13
15.9
25.9
32.2
47.4
1.3
2.4
4.5
69.6
19.6
3.5
26.2
5.2
6.8
0.2
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
0.991
0.012
< 0.001
< 0.001
< 0.001
0.001
< 0.001
0.965
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
< 0.001
**Information on underlying disease were derived from data recorded prior to the index date and after cohort entry. Information on medication use were derived
from data recorded in 1 year prior to the index date
Table 2 Results of conditional logistic regression analysis of the association between AA/AD and FQ use
Case
N
21,076
8562
Main analysis
Nonusers
Users
Control
Crude OR
Adjusted OR*
%
N
%
OR
95% CI
OR
95% CI
71.1
28.9
93,165
25,387
78.6
21.4
1
1.51**
–
1.47–1.56
1
1.10**
–
1.07–1.14
*Adjusted for covariates presented in Table 1 (sex, age, underlying disease, Charlson comorbidity index, medication use, history of procedure/surgery)
**p < 0.05
Son et al. BMC Cardiovascular Disorders (2022) 22:44
Page 6 of 9
Fig. 1 Results of conditional logistic regression analysis of the association between AA/AD and FQ use
(95% CI 1.20–1.38, p < 0.05) in the mid-high dose group,
and 1.36 (95% CI 1.26–1.45) in the high dose group.
Subgroup analysis and sensitivity analysis
From the subgroup analysis by sex (Fig. 1), we found that
the association between AA/AD and FQ use remained
statistically significant in both the male and female sub-
groups. In particular, the risk was high in female patients
(adjusted OR 1.15, 95% CI 1.09–1.21, p < 0.05) compared
with female nonusers. When ages were grouped into
10-year bands, the association between AA/AD and FQ
use remained statistically significant in every age group.
To verify the consistency of the results, we performed
sensitivity analysis (Table 3) by changing the definition
of AA/AD occurrence. The AA/AD occurrence in the
primary analysis was identified using the ICD 10 code
for AA/AD. For the sensitivity analysis, we changed the
definition of an AA/AD case to a diagnosis of AA/AD
in addition to having received a laboratory test specific
for AA/AD within the 28 days prior to the initial diag-
nosis of AA/AD. Among 29,648 AA/AD cases, 21,528
(72.6%) received the laboratory test specific for AA/
AD within the 28 days prior to the initial diagnosis of
AA/AD. Among those 21,528 patients, 17,875 (83.0%)
were diagnosed with AA/AD the day they took the
tests. Abdominal/thoracic CT, aortography, and tran-
sthoracic echocardiography were found to have been
the commonly performed procedures. The results
remained consistent with the primary results under the
new definition.
The risk of AA/AD by FQs was substantially higher
in current users. The risk increased as the duration of
exposure and cumulative dose increased. The associa-
tion remained statistically significant in every subgroup
Son et al. BMC Cardiovascular Disorders (2022) 22:44
Page 7 of 9
Table 3 Results of sensitivity analysis of the association between AA/AD and FQ use
Case
N
15,294
6234
Sensitivity analysis
Nonusers
Users
Controls
Crude OR
Adjusted OR*
%
N
%
OR
95% CI
OR
95% CI
71.0
29.0
67,570
18,542
78.5
21.5
1
1.51**
–
1.46–1.56
1
1.10**
–
1.06–1.14
Cases that received laboratory tests specific for AA/AD within 28 days prior to the initial diagnosis of AA/AD and their matched controls were included
*Adjusted for covariates presented in Table 1 (sex, age, underlying disease, Charlson comorbidity index, medication use, history of procedure/surgery)
**p < 0.05
by sex and age. See Additional file 1: Table S2 for
numeric results.
Discussion
In this study, FQ use showed a trend to be associated
with an increased risk of AA/AD during the 1-year
observation period, but the effect size was not remark-
able. However, the risk of AA/AD in current users of
FQs was relatively considerable. This result is in line
with preceding research in many ways. In an in vitro
study that assessed the effect of FQs on MMP activi-
ties in human aortic smooth muscle cells, 48 hours of
treatment with ciprofloxacin significantly increased
total MMP activity. Observational studies using Tai-
wanese and Swedish databases also showed that the
risk of AA/AD within 60 days after FQ use was signifi-
cantly higher than that of nonusers [3, 7, 8]. In addition,
a cohort study in Ontario, Canada and a signal analysis
using U.S. FAERS data also indicated significant asso-
ciations between FQ use and AA/AD [6, 9]. This trend
is consistent with the results of a systematic literature
review and meta-analysis conducted in 2019 [10]. In
particular, Pasternak et al. [3] showed that the cumula-
tive incidence of AA/AD increased significantly during
the first 10 days after FQ use. Given these findings, fur-
ther studies are needed to evaluate the risk in the early
period of FQ use.
Studies that utilized the Taiwanese database [7, 8]
reported that the risk of AA/AD increased as the dura-
tion of drug use increased. In this study, the adjusted
odds ratio of AA/AD also increased as the cumula-
tive duration of FQ use increased. In addition, while
no prior study has determined the effect of the cumu-
lative dose of FQs on the risk for AA/AD, this study
showed that an increased cumulative dose of FQs could
increase the risk for AA/AD. The dose–response rela-
tionship and duration-response relationship can be
interpreted as considerable evidence of the causal rela-
tionship between FQ use and the occurrence of AA/
AD. Therefore, the patient’s condition should be care-
fully monitored, keeping in mind that the risk of AA/
AD may increase as the cumulative dose or duration of
FQ use increases.
Our study suggests some different results from the
general understanding of AA/AD. In general, AA/AD
progresses slowly over several years, and men and old
age are known as risk factors. However, we found that
the risk of AA/AD from FQ use was significant (1) in the
early period of FQ use, (2) in female patients and male
patients, and (3) in all age groups. In this research, the
risk of AA/AD was 8% higher in male FQ users and 15%
higher in female FQ users than in nonusers of each sex.
Although the risk difference between female patients and
male patients was not statistically significant, it gives us
a reasonable inference that female patients may have a
higher risk of FQ-induced AA/AD, contrary to general
knowledge that the incidence of AA/AD is higher in male
patients. A previous study also showed that the risk was
higher in female patients [7]. For age, the risk was signifi-
cant in all age groups, but the differences between sub-
groups were not statistically significant. Given that the
risk was higher in patients aged 70 or older in a previous
study [7], we recommend that further research be under-
taken to understand the risk factors for FQ-induced AA/
AD. The sensitivity analysis supported the robustness of
the results, as they were very similar to the results before
the definition of the study population was changed.
Strengths and limitations
As an indication of the strength of this research, it was
conducted using the national health insurance claim
data of all adults aged 40 or older in Korea during the
five years from 2013 to 2017. The NHIS-customized
data are well accumulated in the form of detailed medi-
cal activities and drugs, making it easy to generalize the
research results, as nearly all domestic AA/AD patients
were included in the study population. Additionally, we
comprehensively considered various confounding fac-
tors, such as underlying diseases, medication use, and
Son et al. BMC Cardiovascular Disorders (2022) 22:44
Page 8 of 9
procedures and surgeries related to AA/AD. Moreover,
we performed a sensitivity analysis by changing the def-
inition of health outcomes of interest to minimize the
effect of classification errors on the results. The preced-
ing research results showed a 92% positive prediction
for the identification of AA/AD cases when defining a
group of cases considering both examination and diag-
nosis [7].
Our work clearly has some limitations. First, the
results may have been affected by confounding indica-
tions. To reduce the bias from confounding indications,
we excluded patients who had taken FQs during the
year prior to the cohort entry date and included major
indications of FQs as covariates in the adjusted model.
However, the results may still have been affected by
unmeasured underlying indications or the severity of
the indication. The result must be carefully interpreted
considering that patients who take FQs are possibly at
higher risk of AA/AD due to unmeasured underlying
conditions, indications for the drug, and important risk
factors such as smoking. We emphasize that this result
should not be interpreted as explicit evidence for causal
effects. It is clear that more studies would be necessary
to determine whether there is a causal relationship.
Second, due to the nature of the claim data, it is dif-
ficult to pinpoint the exact timing of treatment and
drug use, and it is not possible to analyze drug use,
procedures, or surgeries that are not covered by NHIS.
Third, socioeconomic and clinical confounding fac-
tors that could not be measured or predicted may have
affected the results. For example, the difference in base-
line characteristics of cases and controls can affect the
results. To minimize the effect of known risk factors for
AA/AD, we excluded patients with a history of AA/AD
or related diseases during the year prior to the cohort
entry date. However, some risk factors generally known
to affect AA/AD, such as blood pressure, smoking sta-
tus, and family history, were not considered in this
study. In this sense, further studies are needed to evalu-
ate the risk by patients’ baseline health status and par-
ticular medical conditions, such as known risk factors
for AA/AD.
Finally, the various clinical types and characteristics of
AA/AD were not analyzed because clinical information
such as severity and detailed disease symptoms could not
be fully determined by the diagnosis code alone. Thus,
the results of this study are not appropriate for direct
application to individuals, as patients may present with
a variety of clinical characteristics. To overcome the
potential bias introduced by confounding factors and the
definition of exposure and health outcome of interest, we
performed subgroup analysis, sensitivity analysis, and
examined the dose–response relationship.
Conclusion
In this nested case–control study, we found that the
use of FQs within a year was associated with a 10%
increased risk of AA/AD in the Korean population. AA/
AD is a life-threatening disease accompanied by severe
complications such as low blood pressure, shock, myo-
cardial infarction, stroke, lower limb paralysis, and
acute renal failure, which can lead to sudden death.
In particular, early diagnosis and prompt treatment of
abdominal AA/AD are critical, as 65% of patients die
from cases of rupture [13]. Therefore, if patients feel
symptoms such as chest pain in the early period of FQ
use, even if the patient is not in the previously known
risk group, medical professionals should suspect acute
FQ-induced AA/AD, make a close diagnosis and con-
sider changing or stopping the prescription. Moreover,
if FQs are used in patients with already identified AA/
AD, medical professionals should review the patient’s
history and carefully monitor them after drug admin-
istration, keeping in mind that FQs could increase the
risk of AA/AD and that the cumulative dose or dura-
tion of FQ use may affect the risk.
Abbreviations
AA: Aortic aneurysm; AD: Aortic dissection; DDD: Defined daily dose; FQs:
Fluoroquinolones; NHIS: National Health Insurance Service.
Supplementary Information
The online version contains supplementary material available at https:// doi.
org/ 10. 1186/ s12872- 022- 02488-x.
Additional file 1: Table S1. ICD 10 code of AA/AD–related dis-
ease. Table S2. Results of conditional logistic regression analysis of
the association between AA/AD and FQ use. Table S3. Frequency of
underlying disease and mediation use in exposed and unexposed con-
trols. Table S4. Association between AA/AD and FQ use in patients with
cardiovascular diseases or indications of FQs.
Acknowledgements
We would like to thank the Benefits Strategy Department of the National
Health Insurance Service for support.
Authors’ contributions
NYS and EMC are co-first authors and contributed equally. NYS contributed to
the conceptualization, methodology, software, statistical analysis, and writing
of the original draft. EMC contributed to conceptualization, methodology, and
writing—review & editing. SYH and SYC contributed to supervision. BGK
contributed to the supervision, project administration, writing, reviewing, and
editing of the manuscript. All authors read and approved the final manuscript.
Funding
This research did not receive any specific grant from funding agencies in the
public, commercial, or not-for-profit sectors.
Availability of data and materials
The data that support the findings of this study are available from the National
Health Insurance Service in the Republic of Korea, but restrictions apply to the
availability of these data, which were used under license for the current study
and so are not publicly available. Data are, however, available from the authors
Son et al. BMC Cardiovascular Disorders (2022) 22:44
Page 9 of 9
upon reasonable request and with permission from the National Health Insur-
ance Service.
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in pub-
lished maps and institutional affiliations.
Declarations
Ethics approval and consent to participate
Ethics approval for this study was obtained from the institutional review
board of Korea Institute of Drug Safety and Risk Management, which waived
informed consent (IRB approval number 2019-4). The study protocol conforms
to the ethical guidelines of the 1975 Declaration of Helsinki.
Consent for publication
Not applicable.
Competing interests
The authors declare that they have no competing interests.
Received: 4 March 2021 Accepted: 31 January 2022
References
1. Kim Y, Park Y, Youk T, Lee S, Son Y. A study on the use of antibiotics in
Korea and the resistance of major pathogens to antibiotics. NHIS Ilsan
hospital Report. 2016:20-001.
2. Redgrave LS, Sutton SB, Webber MA, Piddock LJ. Fluoroquinolone resist-
ance: mechanisms, impact on bacteria, and role in evolutionary success.
Trends Microbiol. 2014;22(8):438–45.
3. Pasternak B, Inghammar M, Svanström H. Fluoroquinolone use and
4.
risk of aortic aneurysm and dissection: nationwide cohort study. BMJ.
2018;360:k678.
Food and Drug Administration (FDA). Drug Safety Communication: FDA
warns about increased risk of ruptures or tears in the aorta blood vessel
with fluoroquinolone antibiotics in certain patients. 2018. https:// www.
fda. gov/ Drugs/ DrugS afety/ ucm62 8753. htm. Accessed 14 Jan 2022.
5. Ministry of Food and Drug Safety (MFDS). A notification on the distribu-
tion of safety letters on fluoroquinolone antibiotics. https:// www. mfds.
go. kr/ brd/m_ 545/ view. do? seq
%
ED% 94% 8C% EB% A3% A8% EC% 98% A4% EB% A1% 9C% ED% 80% B4% EB%
86% 80% EB% A1% A0& srchTp
0& itm_ seq_1
=
itm_ seq
& compa ny_ nm
& page
0& itm_ seq_2
& Data_ stts_ gubun
=
1. Accessed 14 Jan 2022.
0& compa ny_ cd
286& srchFr
& srchW ord
0& multi_
& srchTo
=
=
=
=
=
=
=
=
=
C9999
6. Daneman N, Lu H, Redelmeier DA. Fluoroquinolones and collagen
=
7.
8.
associated severe adverse events: a longitudinal cohort study. BMJ Open.
2015;5(11):e010077.
Lee C-C, Lee MG, Chen Y-S, Lee S-H, Chen Y-S, Chen S-C, et al. Risk of
aortic dissection and aortic aneurysm in patients taking oral fluoroqui-
nolone. JAMA Intern Med. 2015;175(11):1839–47.
Lee C-C, Lee MG, Hsieh R, Porta L, Lee W-C, Lee S-H, et al. Oral fluo-
roquinolone and the risk of aortic dissection. J Am Coll Cardiol.
2018;72(12):1369–78.
9. Meng L, Huang J, Jia Y, Huang H, Qiu F, Sun S. Assessing fluoroquinolone-
associated aortic aneurysm and dissection: data mining of the public
version of the FDA adverse event reporting system. Int J Clin Pract.
2019;73(5):e13331.
10. Singh S, Nautiyal A. Aortic dissection and aortic aneurysms associated
with fluoroquinolones: a systematic review and meta-analysis. Am J Med.
2017;130(12):1449-57.e9.
11. Lee J, Lee JS, Park S-H, Shin SA, Kim K. Cohort Profile: The National Health
Insurance Service-National Sample Cohort (NHIS-NSC), South Korea. Int J
Epidemiol. 2016;46(2):e15.
12. Foundation ACoC, Guidelines AHATFoP, Surgery AAfT, Radiology ACo,
Association AS, Anesthesiologists SoC, et al. 2010 ACCF/AHA/AATS/
ACR/ASA/SCA/SCAI/SIR/STS/SVM guidelines for the diagnosis and
management of patients with thoracic aortic disease. J Am Coll Cardiol.
2010;55(14):e27–129.
13. Sakalihasan N, Limet R, Defawe OD. Abdominal aortic aneurysm. Lancet.
2005;365(9470):1577–89.
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10.1088_1402-4896_ad075b.pdf
|
Data availability statement
All data that support the findings of this study are included within the article (and any supplementary files).
|
Data availability statement All data that support the findings of this study are included within the article (and any supplementary files).
|
Phys. Scr. 98 (2023) 125223
https://doi.org/10.1088/1402-4896/ad075b
PAPER
RECEIVED
25 August 2023
REVISED
17 October 2023
ACCEPTED FOR PUBLICATION
26 October 2023
PUBLISHED
10 November 2023
Analysis of a non-integer order compartmental model for cholera
and COVID-19 incorporating human and environmental
transmissions
Muhammad Usman1
, Mujahid Abbas2,3
and Andrew Omame1,4,∗
1 Abdus Salam School of Mathematical Sciences, Government College University Katchery Road, Lahore 54000, Pakistan
2 Department of Mathematics, Government College University Katchery Road, Lahore 54000, Pakistan
3 Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
4 Department of Mathematics, Federal University of Technology, Owerri, Nigeria
∗ Author to whom any correspondence should be addressed.
E-mail: m.usman_20@sms.edu.pk, abbas.mujahid@gcu.edu.pk and andrew.omame@futo.edu.ng
Keywords: COVID-19, Cholera, Co-dynamics, Existence and uniqueness, stability, fixed point
Abstract
Fractional differential operators have increasingly gained wider applications in epidemiological
modelling due to their ability to capture memory effect in their definitions; an attribute which lacks in
the concept of classical integer derivatives. In this paper, employing the Caputo fractional operator
with singular kernel, the co-dynamical model for cholera and COVID-19 diseases is proposed and
analyzed, incorporating both direct and indirect transmission routes for cholera. The necessary
conditions for existence of the unique solution of the proposed model are studied. Using the results
from fixed point theory, Ulam-Hyers stability analysis of the system is performed. The model is fitted
to real data from Pakistan and the optimized order of the fractional derivative for which the system fits
well to data is obtained. Other numerical assessments of the model are also executed. Phase portraits
of the infected classes with different initial conditions and various order of the fractional derivative are
obtained in the cases when the reproduction number
0 <
trajectories for the infected compartments tend towards the infection-free steady state when
and the endemic steady state when
irrespective of the initial conditions and the order of the
fractional derivative. Increment in the COVID-19 vaccine efficacy, keeping the vaccination rate fixed
at
, resulted in a decline in the COVID-19 disease. Also, increasing the COVID-19
vaccination rate, keeping the vaccine efficacy for COVID-19 fixed at
, led to a decline in the
COVID-19 associated reproduction number. The simulations also pointed out the impact of COVID-
19 and cholera vaccinations, direct and indirect transmissions of cholera.
1
. It is observed that the
cf =w
1d =w
0 >
0 <
0 >
0.85
and
0.8
1
1
1
1. Introduction
The ‘coronavirus disease 2019’ (COVID-19) is a respiratory illness which is caused by the ‘severe acute respiratory
syndrome coronavirus 2’ (SARS-CoV-2) [1]. It has symptoms such as a flu-like ailment, fever, muscle pains, loss of
taste/smell, fatigue, inability to breath well, cough as well as sore throat [2]. It could be transmitted between humans via
direct contact with objects or surfaces that are contaminated [3]. To slow down its transmission, several vaccines have
been developed in addition to the multiple non-clinical intervention mechanisms [4, 5].
On the other hand, an acute diarrheal disease known as Cholera has become an endemic infection in Pakistan [6]
with different outbreaks reported mainly in most populous regions such as Karachi [7, 8], Swat [9] and other areas of
the country [10]. Diarrhea and vomiting are the initial symptoms of this disease. The main cause of this disease is the
transmission of a bacterium ‘Vibrio Cholerae (V Cholerae)’ through ingestion of contaminated food and water [11].
Risk factors that tends to increase the susceptibility of indvidual to the infection include lack of proper sanitation,
potable water, ecological factors such as heavy downpour and air temperature [12, 13]. Although it originated in Asia
© 2023 IOP Publishing Ltd
Phys. Scr. 98 (2023) 125223
M Usman et al
but its outbreaks have also been reported in many other parts of the world [14]. In 2020, both cholera and COVID-19
pandemics coincided. Although, lower cases of cholera infections were reported globally in that year, the pandemic of
COVID-19 greatly affected worldwide surveillance/reporting of cholera.
1
b
SI
a+
I
Numerous integer-order mathematical models have been created to explore the dynamics of cholera transmission
b
SI
based on various transmission routes and incidence rates (see, for example, [15–19]. The saturated incidence rate
a+
I
was first used by Capasso and Serio [15, 16]. The expression
measures the inhibition effect from the behavioural
change of susceptible individuals when their number increases or from the crowd, and βI measures the infection force
when the disease is entering a fully susceptible population. Because it takes into account the behavioural changes and
crowding effects of the infected people and avoids the unboundedness of the contact rate by selecting appropriate
parameters, this incidence rate is more desirable than the bilinear incidence rate. In order to model cholera
transmission, Codeco [17] presented an incidence form of
exclusively) in the year 2001. This was the first time the pathogen concentration was explicitly incorporated. Both
transmission paths were assumed by Mukandavire et al [18] in the form of
(with environment-to-human transmission
SB
e
+
)
K B
have since used the aforementioned incidence types. We will combine the incidence rates:
respect to cholera transmission in our proposed COVID-19 and cholera co-infection model.
and
1
1 a+
I
with
. Many epidemic models
+ b
(
aSB
)+
K B
aSB
)+
K B
SIh
b
1
(
(
Mathematical models of the classical integer-order derivative have been adopted in studying the dynamics of
infectious diseases [20–26]. These models, due to the integer nature of the derivative constitute limitations.
Different fractional operators relying on power-law [27], exponential [28], generalized Mittag-Leffler [29] and
other forms of kernels have emerged and their applications to modelling biological processes have gained much
interest in recent times [30–39]. Few models have attempted to study the interactions between COVID-19 and
cholera in the literature. Hezam [26] proposed and analyzed an optimal control model for COVID-19 and
cholera using the integer order derivative. Also, the authors [40] have studied and analyzed a model for SARS-
CoV-2 and cholera using real data from Congo.
In this paper, a comprehensive non-integer order compartmental model for COVID-19 and cholera
incorporating human and environmental transmissions of cholera is proposed, and validated using data from
Pakistan (a country with frequent cholera outbreaks and high COVID-19 reported cases). The proposed model
also assumes separate vaccination groups for COVID-19 and cholera given the fact that both vaccines have
different effectiveness. We have also assumed two co-infection compartments (one involving asymptomatic
stage of COVID-19 and the other involving symptomatic stage of COVID-19) which are not available in
comparable existing models. We not only have established the conditions for existence, uniqueness, stability but
also assessed the impact of COVID-19 and cholera vaccinations as well as direct and indirect transmissions on
the dynamics of their co-infection. To the best of our knowledge, the proposed model for this research is novel
and appropriate to study the co-circulation of COVID-19 and cholera using fractional calculus tools.
1.1. Preliminaries
Definition 1.1. [27] The ‘Caputo fractional derivative’ of a function f of order
w Î
)
(
0, 1
is defined by
w
C
D f
t
( )
t
=
1
G -
(
n
w
)
t
ò
0
(
t
- Ã
)
n
- -
w
( )
n
1
f
à Ã
( )
d ,
(
)
1.1
where, n
[ ]a=
+ and Γ stands for the Gamma function.
1
Definition 1.2. [27] The Riemann-Liouville fractional integral of a function f of order
w Î
)
(
0, 1
is defined by
w
C
I
t
f
( )
t
=
t
1
w
(
G
) ò
0
(
t
- Ã
)
w
-
1
f
à Ã
( )
d
,
t
>
0,
Lemma 1.1. [27] The ‘Laplace transform of Caputo fractional derivative’ is defined as
{
w
C
D f
t
( )}
t
=
w
s
{ ( )}
t
f
-
s
w-
1
( )
f 0 ,
0
< <
w
1,
where is the ‘Laplace transform operator’.
(
)
1.2
(
)
1.3
2. Model formulation
t( ) , individuals vaccinated against COVID-19 c , individuals vaccinated against cholera
t( ) at a given time t is subdivided into: vulnerable or
tc( ) , infected with COVID-19 (symptomatic stage)
, individuals infected with COVID-19 (in asymptomatic stage) and
To formulate the model, the human population
uninfected persons
k , infected with COVID-19 (in asymptomatic stage)
tc( )
infected with cholera
ck( )
cholera
t
, individuals infected with cholera
ck( )
t
tk( )
, individuals infected with COVID-19 (in symptomatic stage) and infected with
and recovered from COVID-19, cholera or both
t( ) . The cholera population is denoted by . In
2
Phys. Scr. 98 (2023) 125223
M Usman et al
Figure 1. Schematic diagram of the model, where,
l
c
=
w w
b r
(
c
c
+ +
c
w
r
ck
+
)
ck
,
a
( )
=
c
w
k
w
+
+
1
+
w
b
k
w
1
(
+
w
2
k
+
k
ck
+
+
ck
)
ck
w
3
.
ck
Table 1. Model (2.1) parameters’ description.
Parameter
Description
Value
References
cb w
kb w
cx w
Λω
kx w
ckx w
1d w
2d w
cfw
kfw
chw
khw
ckhw
μ ω
,
,
ω
w
2
w
2
zw
z
,1
1aw
r
ρ ω
w
w
1
3
χ ω
κ ω
Ψω
w
q
,
1
Bmw
1Jw
2Jw
w
3
w
2
q
q
,
COVID-19 transmission rate
Cholera direct transmission rate
COVID-19 recovery rate
Human recruitment rate
Cholera recovery rate
Co-infection recovery rate
Vaccination rate for COVID-19
Vaccination rate for Cholera
Vaccine efficacy against COVID-19
Vaccine efficacy against Cholera
COVID-19 induced mortality rate
Cholera induced mortality rate
co-infection induced mortality rate
natural death rate
modification parameter
progression rate to symptomatic stage
Per capita pathogen reproduction rate
modification parameter
saturated incidence rates
Cholera indirect transmission rate
bacteria concentration
Pathogen carrying capacity
Pathogen shed rates
Bacteria removal rate
−1
−6 day
−1
0.0101 day
7.0232 × 10
−1
1
,1
] day
[
30
3
225, 000, 000
365´
67.27
day
0.1 day
−1
−1
0.15 day
−1
−1
−1
1.701694 day
1.818662 day
−1
0.82 day
−1
0.60-0.85 day
−1
0.0364 day
−1
0.024 07 day
−1
0.05 day
1
365´
67.27
−1
day
1.0
−1
[
−1
,1
14
] day
1
3
0.3-14.3 day
0.5
0.005
0.07
5000
105 − 107 day
0–100 cell litre day
-
1
0.0333 day
−1
−1
-
1
Rate of becoming susceptible to COVID-19 after recovery
Rate of becoming susceptible to Cholera after recovery
0.003
0.003
3
Fitted
Estimated
[50]
[47]
[51]
Assumed
[40]
[40]
[52]
[53]
Fitted
[54]
Assumed
[47]
Assumed
[50]
[51, 55]
Assumed
Assumed
Assumed
[56]
[55]
[51]
[26]
[26]
[26]
Phys. Scr. 98 (2023) 125223
M Usman et al
this study, the saturated form of incidence is adopted for cholera. Based on the dynamics of COVID-19 and
cholera, the following assumptions are taken into consideration: Vulnerable persons acquire COVID-19 and
+
(
(via direct transmission from humans) or
k
cholera at the rates
w
+
k
2
+ +
c
c
)
ck
w
3
w
b
k
w
1
and
w
b r
(
c
+
ck
+
+
+
r
1
ck
ck
ck
ck
)
w
w
w
(via indirect transmission from bacteria). The terms 1z w and 2z w are modification parameters for
c
w
k +
susceptibility to different infection. Diseases related death rates are
are
Natural death rate is assumed to be μ ω
described in table 1 and figure 1, respectively, while the system’s equations are presented in (2.1).
w and ckhw , respectively. Recovery rates
w and ckx w , for symptomatic infected with COVID-19, cholera and co-infected individuals, respectively.
for all compartments. The model’s parameters and flowchart are
hw
,c
xw
,c
h
x
k
k
C
w
t
( )
t
w
= L -
w
b r
(
c
w
c
+ +
c
w
r
+
)
ck
ck
-
c
w
k
w
+
w
b
k
w
+
1
k
1
w
m
+
(
+
(
ck
w
2
+
k
+
w
d
1
+
ck
d
)
ck
w
+
3
w
)
2
-
-
ck
+
w
J
+
1
w
w b r
(
)
c
c
f
w
J
,
2
w
+ +
c
c
w
r
+
)
ck
ck
c
C
w
c
t
( )
t
=
d
w
1
- -
(
1
-
c
w
k
w
+
c
-
1
+
C
w
t
( )
t
k
=
d
w
2
-
w
b
k
w
1
+
k
ck
k
+
+
(
w
2
c
w
b r
(
c
w
´
c
w
k
w
+
k
- -
(
1
f
w
k
)
1
+
w
ck
ck
r
+
ck
)
w
3
+ +
c
+
(
w
2
w
b
k
w
1
k
+
k
c
-
w
m
c
+
)
ck
ck
k
- -
(
1
f
w
k
)
ck
+
+
ck
ck
)
w
3
k
-
w
m
,
k
ck
C
w
t
c
( )
t
=
w
b r
(
c
w
-
(
w
a
1
+
w
m
)
c
c
r
+ +
c
w c
1
w
k
z
-
w
+
c
w
+
)
ck
ck
[
+ -
(
1
f
w
c
)
c
+
]
k
-
z
w
1 1
+
w
b
k
w
1
+
(
w
2
k
+
k
ck
+
+
ck
ck
)
w
3
,
c
ck
C
w
t
c
( )
t
=
w
a
1
c
-
(
x
w
c
+
h
w
c
+
w
m
)
c
-
z
w c
1
w
k
w
+
c
-
z
w
1
´
1
+
w
b
k
w
1
+
(
w
2
k
+
k
ck
+
+
ck
ck
)
w
3
c
,
ck
C
w
t
k
( )
t
=
-
z
w
w
w b r
(
c
2
C
w
t
( )
t
ck
=
(
c
w
k
w
+
c
+ +
c
w c
1
w
k
z
+
1
+
w
b
k
w
1
+
(
w
2
k
+
k
ck
w
r
+
)
ck
ck
,
k
+
+
ck
ck
)
w
3
)
[
ck
+ + -
1
c
(
f
w
k
)
]
k
-
(
x
w
k
+
h
w
k
+
w
m
)
k
w
+
c
+
z
w
1 1
+
w
b
k
w
1
+
(
w
2
k
+
k
ck
+
+
ck
ck
)
w
3
c
+
z
w
2
ck
w
b r
(
c
w
´
c
+ +
c
w
r
+
)
ck
ck
k
-
(
a
w
2
+
w
m
)
,
ck
C
w
t
( )
t
ck
=
a
w
2
ck
+
z
w c
1
w
k
w
+
c
+
z
w
1
´
1
+
w
b
k
w
1
+
(
w
2
k
+
k
ck
+
+
ck
ck
)
w
3
C
w
t
( )
t
=
w
r
-
ck
)
k
w
Y
w
k
-
(
x
c
w
ck
+
h
w
ck
+
w
m
)
,
ck
+
+
q
w
1
k
+
q
w
2
ck
+
q
w
3
ck
-
m
w
B
,
x
w
ck
ck
-
w
(
m
+
w
J
1
+
J
w
2
)
.
(
1
c
+
x
C
w
t
( )
t
=
x
w
c
where,
C
C
C
C
C
C
C
C
C
C
⎧
⎪
⎪
⎪
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎪
⎪
⎪
⎩
c
c
c
c
c
c
c
c
c
c
k
k
k
k
k
,
,
,
,
,
,
,
ck
ck
ck
ck
ck
ck
w
( )
t
t
w
( )
t
c
t
w
( )
t
k
t
w
( )
t
c
t
w
( )
t
t
w
( )
t
k
t
w
( )
t
ck
t
w
( )
t
ck
t
w
( )
t
t
w
( )
t
t
,
,
,
c
,
,
,
,
,
c
,
,
,
,
,
k
,
,
= Q
)
(
t
,
,
,
1
k
= Q
)
(
t
,
,
,
,
2
= Q
)
(
t
,
,
,
,
3
= Q
)
(
t
,
,
,
,
4
c
k
= Q
)
(
t
,
,
,
,
5
= Q
)
(
t
,
,
,
,
6
k
= Q
(
t
,
7
c
= Q
(
t
,
,
8
c
= Q
)
(
t
,
,
,
9
k
= Q
(
t
,
,
,
,
ck
,
,
,
,
,
ck
,
,
,
,
,
,
,
ck
,
ck
,
ck
,
ck
,
k
,
k
,
c
,
c
,
k
,
k
,
c
,
c
,
10
ck
ck
ck
ck
ck
ck
ck
ck
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
k
k
k
k
k
k
c
c
c
c
c
c
c
c
c
c
c
c
)
)
)
4
(
)
2.1
(
)
2.2
Phys. Scr. 98 (2023) 125223
M Usman et al
The system (2.1) can be represented in the compact form given as:
=
( )
where, K t
( )
t
(
Î =
]
b0,[
. That is, K J:
t
( )
t
c
(
,
t K t
( ))
,
C
0
K
w
( )
D K t
t
=
( )
0
K
⎧
⎨⎩
( )
t
k
10 is a function. Also,
=
,
( )
t
( )
t
c
0
k
c
( )
t
:
( )
( )
t
t
ck
ck
10
´
10
T
( ))
( )
t
t
defines a function.
10
Î
(
)
2.3
, for each
(
1
t K t
,
( ))
w
= L -
w
b r
(
c
w
c
+ +
c
w
r
+
)
ck
ck
-
c
w
k
w
+
w
b
k
w
+
1
k
1
w
m
+
(
+
(
ck
w
2
+
k
+
w
d
1
+
ck
d
)
ck
w
+
3
w
)
2
-
-
ck
+
2
(
,
t K t
( ))
=
d
w
1
- -
(
1
w
J
1
J
+
w
w b r
(
)
c
c
f
w
2
w
,
+ +
c
c
w
r
+
)
ck
ck
c
-
c
w
k
w
+
-
1
+
w
b
k
w
1
+
(
w
2
k
+
k
ck
+
+
ck
ck
)
w
3
3
(
,
t K t
( ))
=
d
w
2
-
c
-
w
m
c
ck
w
b r
(
c
w
c
+ +
c
w
r
+
)
ck
ck
k
- -
(
1
f
w
k
)
c
w
k
w
+
c
k
- -
(
1
f
w
k
)
k
-
w
m
,
k
´
1
+
w
b
k
w
1
k
+
ck
k
+
+
(
w
2
w
b r
(
c
ck
+
w
ck
)
w
3
c
ck
(
4
,
t K t
( ))
=
-
(
w
a
1
+
w
m
)
c
-
+ +
c
w c
1
w
k
z
w
+
c
w
r
+
)
ck
ck
[
+ -
(
1
f
w
c
)
c
+
]
k
-
z
w
1 1
+
w
b
k
w
1
+
(
w
2
k
+
k
ck
+
+
ck
ck
)
w
3
,
c
ck
5
(
,
t K t
( ))
=
w
a
1
c
-
(
x
w
c
+
h
w
c
+
w
m
)
c
-
z
w c
1
w
k
w
+
c
-
z
w
1
´
1
+
w
b
k
w
1
+
(
w
2
k
+
k
ck
+
+
ck
ck
)
w
3
6
(
,
t K t
( ))
=
(
c
w
k
w
+
ck
+
c
,
1
+
[
´ + + -
c
w
1
(
c
f
w
w
k
ck
r
-
z
w
w b r
(
c
2
)
]
k
+
)
ck
,
k
+ +
c
w c
1
w
k
z
w
b
k
w
1
-
ck
k
+
+
(
w
2
+
k
(
x
w
k
+
ck
h
+
w
k
ck
)
w
3
+
ck
m
)
w
)
k
7
(
t K t
,
( ))
=
w
+
c
+
z
w
1 1
+
w
b
k
w
1
+
(
w
2
k
+
k
ck
+
+
ck
ck
)
w
3
c
+
z
w
2
ck
w
b r
(
c
w
´
c
+ +
c
w
r
+
)
ck
ck
k
-
(
a
2
+
w
m
)
,
ck
8
(
t K t
,
( ))
=
a
2
ck
+
z
w c
1
w
k
w
+
c
+
z
w
1
´
1
+
w
b
k
w
1
+
(
w
2
k
+
k
ck
9
(
t K t
,
( ))
=
w
r
10
(
t K t
,
( ))
=
x
w
c
+
+
ck
ck
)
w
3
ck
c
(
1
c
-
+
w
Y
w
x
k
-
)
k
(
x
w
ck
+
h
w
ck
+
w
m
)
,
ck
+
q
w
1
k
+
q
w
2
ck
+
q
w
3
ck
-
m
,
+
x
w
ck
ck
-
w
(
m
+
w
J
1
+
J
w
2
)
w
B
.
System (2.4) can be written in form of the Volterra integral equation given by
( )
K t
=
K
( )
0
+
t
1
w
(
G
) ò
0
(
t
- Ã
)
w
-
1
(
Ã
,
K
à Ã
( ))
d
(
)
2.5
2.1. Basic properties of the model
2.2. Invariant domain
Theorem 2.1. The closed set
=
h
´
, where
b
h
=
{( ( )
t
,
c
( )
t
,
k
( )
t
,
c
( )
t
,
c
( )
t
,
k
( )
t
,
( )
t
,
ck
ck
( )
t
,
( ))
t
Î
R
9
+
:
( )
t
+
c
( )
t
+
k
( )
t
+
( )
t
ck
+
( )
t
ck
+
( )
t
w
L
w
m
}
,
{
is ‘positively invariant’ in relation to the system (2.1).
-
w
w w
(
r
R
=
Î
+
w
B
Y
m
:
b
r
)
}
.
5
Phys. Scr. 98 (2023) 125223
M Usman et al
Proof. Adding all the human components of the system (2.1) gives
C
0
w
D
t
w
= L -
w
m
( )
t
-
[
h
w
c
c
+
h
w
k
k
+
h
w
ck
]
.
ck
From (2.6), we have
Applying Laplace transform on (2.7), we obtain that
C
0
w
D
t
w
< L -
w
m
,
w
s
{ ( )}
t
-
s
w
-
1
( )
0
w
L
s
-
w
m
{ ( )}
t
,
which further implies that
{ ( )}
t
w
L
+
w
(
s s
w
m
)
+
( )
0
s
w
s
w
-
1
+
m
w
.
By partial fraction, the above expression reduces to
{ ( )}
t
w
L
⎛
w
m
⎝
1
s
⎞
⎠
-
(
w
L
w
m
-
( )
0
)
s
w
s
w
-
1
+
m
w
.
The inverse Laplace transform gives
( )
t
w
L
w
m
-
(
w
L
w
m
-
( )
0
)
E
w
((
-
m
w w
) )
t
.
(
)
2.6
(
)
2.7
(
)
2.8
(
)
2.9
(
)
2.10
Since the ‘Mittag-Leffler function’ has asymptotic behaviour, we have
(2.4) has solutions in and hence is ‘positively invariant’.
t ( )
Lw
w
m
as t ¥. Therefore, system
3. Existence and Uniqueness of the solution
3.1. Existence
In this section, necessary conditions for existence of solution of the proposed model shall be studied.
Consider a Banach space
sup ∣
FÎ
F =
t
, where,
( )∣
t
=
[
,
10
]
equipped with the norm:
|Φ(t)| = |Φ1(t)| + |Φ2(t)| + |Φ3(t)| + |Φ4(t)| + |Φ5(t)| + |Φ6(t)| + |Φ7(t)| + |Φ8(t)| + |Φ9(t)| + |Φ10(t)|.
The norms on
([
,
10
])
or
([
,
)
will be evident from the context of the framework.
Theorem 3.1. [41] Let M be a non-empty closed, bounded and convex subset in a Banach Space
,
operators P P M E
1
2 satisfy the following conditions:
:
=
([
,
10
])
. If
(i) P
1
F + F Î , whenever
M
P
2
1
2
F F Î
,
1
2
M
;
(ii) P2 is a contraction.
(iii) P1 is compact and continuous.
Then there exists
MF Î
such that
F = F + F.
P
2
P
1
Theorem 3.2. If
F
( ))∣
∣
t
Then the proposed model (2.1) has at the least one solution.
is continuous and satisfies
Î ´
(
t
,
10
´
,
for all
:
Y
( )∣
∣
t
( ))
t
F
(
t
10
10
,
and
Y Î
(
,
)
+
with
Y =
supt
YÎ
∣
( )∣
t
.
F + W Y ,
F
Proof. Consider B
Bh is closed convex and bounded subset of E. Define operators P P B
:
,
2
1
= F Î
{
}
, where
0 ∣
:
h
h
∣
h
F Î
0
h
10
by
and
W =
w
b
wG +
(
1
)
. Obviously
t
(
t
- Ã
)
w
-
1
(
à F à à " Î
d
( ))
t
,
(
P
1
F
)( )
t
=
G
1
w
(
0
) ò
(
P
2
)( )F
t
= F
0
,
" Î
t
.
Respectively. According to the given assumptions
:
10
´
10
is continuous and satisfies the condition,
for each t Î and
we have
( )F
t
Î
10
. That is,
:
10
´
10
is point-wise bounded. Now, for any
(
t
,
F
( ))
t
Y
∣
( )∣
t
6
F F Î h,
2
,1
B
Phys. Scr. 98 (2023) 125223
M Usman et al
(
P
1
F
)( )
t
1
+
(
P
2
F
2
)( )
t
=
sup
Î
t
∣
P
1
F
1
( )
t
+ F
P
2
( )∣
t
=
sup
Î
t
sup
Î
t
⎡
⎣
⎡
∣
⎣
F +
0
F +
∣
0
1
w
(
)
G
1
w
(
)
G
t
(
t
- Ã
)
w
-
1
(
ò
0
à F à Ã
2
( ))
d
,
⎤
⎦
t
(
t
- Ã
)
w
-
1
∣
Y Ã
( )∣
Ã
d
⎤
⎦
ò
0
t
∣
F +
∣
0
G
Y
w
(
)
sup
Î
t
ò
0
(
t
- Ã
)
w
-
1
Ã
d
∣
F +
∣
0
w
b
G
w w
(
w
Y
)
∣
∣
= F +
0
b
G +
w
(
)
1
= F + W Y
∣
∣
0
Y
h
Hence, P
1
F + F Î h.
P
2
B
1
2
It is clear that P2 is a contraction since it is a constant operator. As the function is continuous, so the
operator P1 is also continuous.
Now, for any Φ ä Bη, we have
(
P
1
F
)( )
t
=
sup
Î
t
∣
P
1
F
( )∣
t
=
sup
Î
t
1
w
(
)
G
t
(
t
- Ã
)
w
-
1
(
à F à Ã
( ))
d
,
ò
0
sup
Î G
t
1
w
(
)
t
(
t
- Ã
)
w
-
1
∣
Y Ã
( )∣
Ã
d
ò
0
G
Y
w
(
)
sup
Î
t
t
(
t
- Ã
)
w
-
1
Ã
d
ò
0
w
b
G +
w
(
)
1
= W Y
Y
h
)h is bounded and closed. In order to apply the ‘Arzela Ascoli theorem’, it now
Therefore, P1(Bη) ⊂ Bη. As P B1(
remains to show that P B1(
Now for any Φ ä Bη, consider
)h is equicontinuous.
∣(
P
1
F
)(
t
)
2
-
(
P
1
F
)( )∣
t
1
=
1
w
(
)
G
t
2
ò
0
(
t
2
- Ã
)
w
-
1
(
à F à Ã
( ))
d
,
-
1
w
(
)
G
t
1
ò
0
(
t
1
- Ã
)
w
-
1
(
à F à Ã
( ))
d
,
=
1
w
(
)
G
⎡
⎣⎢
Y
G +
w
(
1
)
t
1
ò
0
[(
t
2
- Ã
)
w
-
1
- - Ã
t
1
(
)
w
-
1
]
(
à F à Ã+
( ))
d
,
[(
t
w
2
-
w
t
1
)]
t
2
ò
t
1
(
t
2
- Ã
)
w
-
1
K
(
à F à Ã
( ))
d
,
⎤
⎦⎥
It is clear to see that the right hand side of the inequality above tends to zero as t2 → t1. Therefore, P1Bη is
equicontinuous and thus, P B1(
that implies P1 is a compact operator. Hence, all the conditions of theorem 3.1 are fulfilled. Therefore, there
exists Φin such that Φ(t) = P1Φ(t) + P2Φ(t). That is,
)h is closed, bounded and equicontinuous, it is compact and
)h . Thus, since P B1(
F = F +
( )
t
0
t
1
w
(
G
) ò
0
(
t
- Ã
)
w
-
1
(
à F à Ã
( ))
d
,
3.2. Uniqueness
Theorem 3.3. If
Î
([
,
10
])
satisfies the Lipschitz condition
for all tÎ ,
W <
that
F F Î ,
,1
2
.
1
∣
(
t
,
F
1
( ))
t
-
(
t
,
F
2
( ))∣
t
∣
F
1
( )
t
- F
2
( )∣
t
,
(
)
3.1
0>
. Then system (2.5), or its equivalent form (2.1) has unique solution provided
7
Phys. Scr. 98 (2023) 125223
M Usman et al
Proof. Define P:
by by
(
P
F
)( )
t
= F +
0
t
1
w
(
G
) ò
0
(
à F
,
( ))(
t
t
- Ã
)
w
-
1
Ã
d
.
For any
F F Î , we have
,1
2
(
P
F
)( )
t
1
- F
(
P
2
)( )
t
sup
Î
t
⎡
⎣
F +
0
1
w
(
)
G
t
(
t
- Ã
)
w
-
1
(
ò
0
à F à Ã
1
( ))
d
,
- F +
0
⎛
⎝
1
w
(
)
G
t
(
t
- Ã
)
w
-
1
(
ò
0
à F à Ã
2
( )
d
,
)
⎞
⎠
⎤
⎦⎥
t
)
1
w
(
t
G
(
sup
Î
t
(
ò
0
- Ã F Ã
( ))∣
,
t
2
sup
Î
t
w
G
(
)
ò
0
(
t
- Ã
)
w
-
1
∣
(
à F Ã
1
( ))
,
Ã
d
- Ã
)
w
-
1
∣
F Ã - F Ã
( )
( )∣
2
1
Ã
d
2
F - F
1
w
G
)
(
sup
Î
t
t
(
t
- Ã
)
w
-
1
Ã
d
ò
0
w
b
w
G +
(
=W
)
1
F
1
F - F
2
1
( )
t
- F
2
( )
t
,
This implies that P is a contraction mapping.
Since P(Φ(t)) = P1(Φ(t)) + P2(Φ(t)), PBη ⊂ Bη and the set Bη is closed and convex, the proposed model possess a
unique solution as a consequence of Banach contraction principle.
3.3. The Basic reproduction number of the model
The ‘disease free equilibrium’ (DFE) of the model (2.1) is:
y =
0
(
*
,
*
,
c
*
,
k
,
*
,
k
*
ck
*
*
)
,
*
,
c
w
L
w
+ +
d
1
=
(
w
m
*
,
c
w w
L
d
1
w
+ +
d
1
,
d
w
2
w
m m
(
w
,
d
w
2
)
w
m m
(
w
*
,
ck
w w
L
d
2
w
+ +
d
1
, 0, 0, 0, 0, 0, 0, 0, 0 .
)
d
w
2
)
Following the approach from [42], the transfer matrices for the model are, respe given by
w
A
1
c
0
0
w w
b r
c
0
0
A
1
A
1
b
b
b
b
b
F
=
⎛
⎜
⎜
⎜
⎜
⎜
⎝
0
0
0
+
w
m
0
0
0
x
w
k
0
0
w
A
2
k
0
0
0
w w
b r
c
0
w
A
2
k
0
0
0
w
A
1
c
0
w
A
2
k
0
0
0
+
+
w
m
0
0
w
h
k
0
0
q
-
w
1
0
0
0
m
+
w
a
2
w
q
2
w
2
-
-
w
a
x
w
ck
0
0
w
c
A
2
w
k
0
0
0
⎞
⎟
⎟
⎟
⎟
⎟
⎠
0
0
0
0
w
h
+
ck
w
q
-
3
+
0
0
0
0
0
-
⎞
⎟
⎟
⎟
⎟
⎟⎟
⎠
w
r
w
m
m
w
B
w
w
a
1
-
m
+
w
a
1
x
w
c
+
0
0
0
0
0
w
h
c
0
0
0
0
V
=
⎛
⎜
⎜
⎜
⎜
⎜⎜
⎝
(
)
3.2
(
)
3.3
The ‘basic reproduction number’ of the model (2.1) is given by
r=
=-
1
)
,W
COVID-19 and cholera are given by
max
(
FV
0
, where
{
0
D
}
0
C0 and
K0 are the associated ‘reproduction numbers’ for
0
C
=
w
b a
(
c
w
1
w
a
(
1
+
+
x
(
w
c
m x
)(
w
+ +
h
c
w
w
+ +
h
c
c
w
m r
)
w
m
)
w
)
A
1
0
K
=
w
k
b
A
2
w
+ +
h
k
x
w
k
w
m
+
w w
c q
A
2
1
w
w
w
+ +
h
x
)(
r
k
k
w
m
)
w
k m
(
w
B
-
respectively, where A
1
=
[
*
+ -
(
1
w
f
c
*
)
*
c
+
*
]
k
A
2
=
[
*
+ -
(
1
f
w
k
)
*
k
+
*
]
.
c
3.4. Local asymptotic stability of the disease free equilibrium (DFE) of the model
Theorem 3.4. The system’s DFE,
0 , is ‘locally asymptotically stable’ (LAS) if
0 <
1
, and unstable if
0 >
1
.
8
Phys. Scr. 98 (2023) 125223
M Usman et al
Proof. The stability of system (2.1) in the neighborhood of the DFE is analyzed by Jacobian of system (2.1)
evaluated at DFE,
0 , which is given by:
1
0
0
0
-
m
(
1
-
(
m
-
w
d
w w w
b r m
c
w
w
w
d
+ +
2
1
w w w w
f b r d
)
c
c
1
w
w
d
+ +
)
2
1
w w w
c
2
w
d
+ +
1
b r d
w
2
d
d
)
w
-
w
m
-
(
m
0
0
0
0
0
0
0
F -
1
1
w
a
1
0
0
0
0
0
-
w
m
0
0
0
0
0
0
0
0
d
d
w
1
w
2
⎛
-
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎝
0
0
0
0
0
0
0
-
-
-
w w
b m
[
c
(
m
(
(
d
d
w
m
m
-
1
w
w w
b m
c
w
w
d
+ +
2
1
w w w
f b d
)
c
c
1
w
w
d
+ +
1
2
w w
b d
c
2
w
w
d
d
+ +
2
1
w w
f d
+ -
(
)
1
c
1
w
w
w
d
+ +
1
2
-
m
w
d
)
(
2
)
)
+
-
w
m
w
2
w w
b
L
k
w
d
d
+ +
1
w w w
b d
L
k
1
w w
w
w
d
m m
+ +
)
(
2
1
w w w w
L
k
k
2
w
w
d
+ +
2
1
-
1
w w
m m
(
f b d
)
d
d
(
)
-
-
d
w
2
]
0
0
F -
2
3
0
0
w
q
1
w
k
x
0
0
0
0
0
0
0
0
0
0
0
0
c
-
)
d
w
2
w w
k m
(
c d
w w w
(
w w
c
L
w
d
+ +
1
w w w
L
1
w
w
d
d
+ +
2
1
w w w w
f c d
L
-
)
(
k
w w w
w
d
+ +
(
1
w
2
1
d
2
)
)
k m m
k m m
-
-
0
0
w w w
w
d
m
+ + -
[
(
1
1
w w w
w
d
+ +
[
1
k m m
L
]
w w
f d
)
k
2
w
]
2
d
-
4
w
a
2
w
q
2
0
5
0
-
w
q
3
w
ck
x
0
0
-
0
w
r
w
m
B
-
(
w
m
+
w
J
1
+
J
w
2
⎞
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎠
0
0
0
0
0
0
0
0
w
J
1
+
J
w
2
)
0
0
0
0
w
x
c
w
x
c
1
w
2
d
]
where,
1
5
=
=
f
1
=
w
a
+
1
w
x
+
ck
w w
b r m
c
[
=
w
,
+
m
w
h
ck
w
+ -
(
1
w
w
+ +
d
1
2
w
m
,
w
f d
)
c
w
d
2
w
1
)
m
(
+
The ‘characteristic polynomial’ is given by:
(
l
+
w
m
2
) (
l
+
+
1 2
(
1
-
w
m
w
b a
(
1
c
d
w
w
1
+
+
r
1 2
)
2
A
1
+
(
m
3
w
B
-
w
r
)(
1
-
b
w
k
A
2
3
This can be written as:
+
=
w
c
m
h
(
w
+
w
m
d
+
,
F =
2
b
,
w
1
w w
L
k
+
w
k
w
k
)
x
h
+
=
3
w
d
,
2
w
w
w
+ + -
f d
)
1
k
w
w
+ +
d
2
1
(
1
d
d
)
w
m
[
w
m m
(
+
w
m
,
4
=
a
w
2
+
w
m
,
w
2
]
.
+
d
w
2
)(
l
+
)(
4
l
+
)(
5
l
+
w
m
+
w
J
1
+
J
w
2
)[
2
l
+
l
(
1
+
2
-
w w
b c
c
A
1
)
)
⎤
⎦
-
[
2
l
+
l
(
3
+
m
w
B
w
- -
r
b
w
k
A
2
)
q c
1
w
w
k m
(
B
w
A
2
-
)
r
=
0.
)
⎤
⎦
3
(
)
3.4
(
)
3.5
(
)
3.6
(
)
3.7
(
l
w
+
+
+
2
m
) (
(
1
1 2
w
m
(
B
3
l
-
-
+
w
m
w
C
0
)(
1
w
+
d
1
2
l
)][
-
r
+
+
0
K
w
d
)(
2
l
(
3
=
)]
0.
l
+
+
m
+
l
)(
4
w
w
- -
r
B
)(
5
w
b
k
l
A
2
w
m
+
w
J
1
+
J
w
2
)[
2
l
+
l
(
1
+
2
-
w
b f
c
A
1
)
+
)
The eigenvalues are given by:
w
l
1
l
4
= -
= -
m
x
(
w
ck
(
)
with multiplicity of two ,
w
+
m
)
= -
+
m
l
h
(
w
5
w
ck
w
= -
l
m
(
2
w
w
+
J
J
)
2
1
,
+
+
d
w
1
+
d
w
2
)
,
l
3
= -
(
a
w
2
+
w
m
)
,
and the solution of the equations given by
2
l
+
l
(
1
+
2
-
w
b f
c
A
1
)
+
1 2
(
1
-
)
0
C
and
2
l
+
l
(
3
+
m
w
B
w
- -
r
b
w
k
A
2
)
+
(
m
3
w
B
-
w
r
)(
1
-
)
0
K
From the Routh-Hurwitz criterion, the equation (3.6) and equation (3.7) has roots with negative real parts if and
only if max
. Hence, the DFE is locally asymptotically stable if
1
max
} <
=
<
.
1
}
{
,
OC
{
,
C
OK
K
0
0
0
4. Ulam-Hyers stability
The Ulam-Hyers (UH) stability and generalized UH stability [43, 44] for the fractional system is discussed in this
section.
=
(
,
Let
sup
FÎ
F =
( )∣
∣
, where
t
t
be space of ‘continuous functions’from to 10 , coupled with the norm
b0,[
=
10
)
]
.
9
Phys. Scr. 98 (2023) 125223
M Usman et al
Figure 2. Fitting the model to data.
Definition 4.1. The model (2.1) or its transformed version given by
C
w
D
t
( )
0
F =
( )
t
F = F
,
0
⎧
⎨⎩
(
t
,
F
( ))
t
,
is UH stable if ∃k
0
¯ ( )
C
F
e
t
F Î , of system (4.1) in such a way that,
∃unique solution
0> , such that ∀
¯ ( )
F -
t
D
Î
e
(
w
t
t
,
,
,
e > and a given solution of (4.1) satisfying the following inequality,
=
max
(
e
i
T
)
,
i
=
1, 2 ,... 10.
(
)
4.1
(
)
4.2
¯ ( )
F - F
t
( )
t
k
e
,
t
Î
,
k
=
max
(
k
j
T
)
,
j
=
1, 2 ,... 10.
Definition 4.2. System (4.1) is ‘generalized UH stable’ if ∃a continous function :
such that for any other solution
f
¯F Î of the inequality (4.2), ∃ unique solution
+
+ with
( )f
0
=
0
F Î satisfying the following:
¯ ( )
F - F
t
( )
t
f e
( )
,
t
Î
,
f
=
max
(
f
j
T
)
,
j
=
1, 2 ,... 10.
Remark 4.1. ‘A function
the following properties:’
¯F Î satisfies the inequality (4.2) if and only if there exists a function h Î , having
i.
( )
h t
e
,
t
Î .
C
ii. D
w
¯ ( )
F =
t
(
t
,
¯ ( )
F +
t
( )
h t
, t Î .
Lemma 4.1. If
¯F Î holds for system (4.2), then ¯F also holds for the following:
¯ ( )
F - F +
t
¯
0
⎛
⎝
t
1
w
(
G
) ò
0
(
t
- Ã
)
w
-
1
(
¯ ( ))
à F à Ã
d
,
W
e
⎞
⎠
(
)
4.3
Proof. Using (ii.) of the remark 4.1, we have D
C
w
¯ ( )
F =
t
(
t
,
¯ ( ))
F
t
+
( )
h t
, t Î .
Apply Caputo integral, so that this is re-written as,
¯ ( )
F = F +
t
¯
0
1
w
(
)
G
t
ò
0
(
t
- Ã
)
w
-
1
(
¯ ( ))
à F à à +
d
,
1
w
(
)
G
t
ò
0
(
t
- Ã
)
w
-
1
h
à Ã
( )
d
(
)
4.4
Re-arranging, and then taking the norm on the both sides and applying the item (i.) of remark 4.1, we obtain that
¯ ( )
F - F +
t
¯
0
1
w
(
)
G
t
(
t
- Ã
)
w
-
1
(
¯ ( ))
à F à Ã
d
,
ò
0
⎞
⎠
1
w
(
)
G
t
(
t
- Ã
)
w
-
1
Ã
∣ ( )∣
h
Ã
d
⎛
⎝
ò
0
(
w
b
G +
w
(
1
)
)
e
e
W
Theorem 4.1. For all
, where
1
- W >
0
F Î and the Lipschitz mapping
W =
w
b
wG +
(
1
)
, the model (4.1) is generalized UH stable.
:
10
´
10
with Lipschitz constant
0>
) with
10
Phys. Scr. 98 (2023) 125223
M Usman et al
Figure 3. Simulations of the various classes for different fractional order when
0 <
1
.
11
Phys. Scr. 98 (2023) 125223
M Usman et al
Figure 4. Simulations of the Infected classes at different initial conditions when
0 <
1.
Proof. If
e" >
¯F Î satisfies the inequality given by (4.2) and
Î , together with lemma 4.1, we have,
t0,
F Î is a unique solution of (4.1). Then
¯ ( )
F - F
t
( )
t
=
sup
Î
t
¯
F +
0
1
w
(
)
G
t
(
t
- Ã
)
w
-
1
(
¯ ( ))
à F à à +
d
,
ò
0
1
w
(
)
G
t
(
t
- Ã
)
w
-
1
h
à Ã
( )
d
ò
0
- F +
0
⎛
⎝
1
w
(
)
G
t
(
t
- Ã
)
w
-
1
(
à F à Ã
( ))
d
,
ò
0
⎞
⎠
sup
Î
t
∣ ¯
F - F +
∣
0
0
sup
Î
t
∣ ( )∣
h t
⎡
⎣
1
w
(
)
G
⎛
⎝
t
(
t
- Ã
)
w
-
1
Ã
d
ò
0
⎞
⎠
⎤
⎦
+
sup
Î G
t
1
w
(
)
t
(
t
- Ã
)
w
-
1
∣
(
t
,
¯ ( ))
F
t
-
(
t
,
F
( ))∣
t
Ã
d
ò
0
e
W +
¯
F - F
G
w
(
)
sup
Î
t
t
(
t
- Ã
)
w
-
1
Ã
d
ò
0
e
W +
(
w
b
G +
w
(
e
= W + W
)
)
1
¯ ( )
F - F
t
¯
F - F
( )
t
.
Thus, we have
= W
1
where, k
- W
(UH) and generalized UH stable.
. Thus, if we take
¯
F - F
e
k ,
(
)
4.5
( )f e
e= , then
k
( )f
0
= and hence the system (4.1) is both Ulam Hyers
0
12
Phys. Scr. 98 (2023) 125223
5. Numerical scheme
M Usman et al
The fractional Euler Method shall be adopted to approximate the solution of the model designed in this study.
Applying the fundamental theorem of fractional calculus on (2.3), we have
( )
K t
=
K
0
+
t
1
w
(
G
) ò
0
(
t
- Ã
)
w
-
1
(
Ã
,
K
à Ã
( ))
d
,
At a given point t = tς+1 = (ς + 1)h , where h = tς+1 − tς is the time step size and ς = 0, 1, 2..., the above equation
discretizes to
(
K t
)
1
=
V
+
K
( )
0
+
(
K t
)
1
=
V
+
K
( )
0
+
1
w
(
)
G
1
w
(
)
G
t
V
+
1
ò
0
V
òå
j
=
0
t
(
t
V
+
1
- Ã
)
w
-
1
(
Ã
,
K
à Ã
( ))
d
t
j
+
1
j
(
t
V
+
1
- Ã
)
w
-
1
(
Ã
,
K
à Ã
( ))
d
.
(
)
5.1
With the help of the product rectangle rule [45], we get
t
j
+
1
j
ò
t
(
t
V
+
1
- Ã
)
w
-
1
(
Ã
,
K
à à =
( ))
d
w
h
w
[(
V
- +
j
w
)
1
- -
V
(
j
w
) ]
(
(
t K t
j
,
j
))
Thus,
(
K t
)
1
V
+
=
K
( )
0
+
w
h
G +
w
(
1
V
) å V
[(
j
=
0
- +
j
w
)
1
- -
V
(
j
w
) ]
(
(
t K t
j
,
j
))
(
)
5.2
Adopting the numerical scheme (5.2) into the fractional system (2.5) yields the following numerical solution;
(
t
)
1
V
+
=
S
( )
0
+
c
(
t
V
+
)
1
=
V
c
( )
0
+
w
h
w
G +
(
1
)
w
h
w
G +
(
1
V
- +
j
w
)
1
- -
V
(
j
w
) ]
(
1
(
t K t
j
,
j
))
[(
V
- +
j
w
)
1
- -
V
(
j
w
) ]
(
(
t K t
j
,
j
))
2
(
t
k
V
+
)
1
=
V
k
( )
0
+
w
h
w
G +
(
1
[(
V
- +
j
w
)
1
- -
V
(
j
w
) ]
(
(
t K t
j
,
j
))
3
1
(
t
c
V
+
)
1
=
A
c
( )
0
+
c
(
t
V
+
)
1
=
I
c
( )
0
+
k
(
t
V
+
)
1
=
I
k
( )
0
+
w
h
w
G +
(
w
h
w
G +
(
1
w
h
w
G +
(
1
)
)
[(
V
- +
j
w
)
1
- -
V
(
j
w
) ]
(
(
t K t
j
,
j
))
4
[(
[(
V
- +
j
w
)
1
- -
V
(
j
w
) ]
(
(
t K t
j
,
j
))
5
V
- +
j
w
)
1
- -
V
(
j
w
) ]
(
(
t K t
j
,
j
))
6
(
t
ck
V
+
)
1
=
A
ck
( )
0
+
[(
V
- +
j
w
)
1
- -
V
(
j
w
) ]
(
(
t K t
j
,
j
))
7
w
h
w
G +
(
)
)
)
[(
V
å
j
=
0
V
å
j
=
0
V
å
j
=
0
V
å
j
=
0
V
å
j
=
0
V
å
j
=
0
V
å
j
=
0
V
å
j
=
0
V
å
j
=
0
V
å
j
=
0
1
)
)
ck
(
t
V
+
)
1
=
I
ck
( )
0
+
(
t
)
1
V
+
=
B
( )
0
+
w
h
w
G +
(
w
h
w
G +
(
1
1
)
(
t
)
1
=
V
+
R
( )
0
+
w
h
w
G +
(
1
)
[(
V
- +
j
w
)
1
- -
V
(
j
w
) ]
(
(
t K t
j
,
j
))
8
[(
V
- +
j
w
)
1
- -
V
(
j
w
) ]
(
(
t K t
j
,
j
))
9
[(
V
- +
j
w
)
1
- -
V
(
j
w
) ]
10
(
(
t K t
j
,
j
))
(
)
5.3
The error estimates, stability analysis and th high accuracy of this numerical scheme have been well explored
in [46]
6. Model Fitting and numerical assessment
180, 000, 000
,
3000
Demographic data related to Pakistan have been used for the simulations. The initial conditions are set as:
( ) =
c( ) =
k( ) =
c( ) =
0
0
15, 000
0
0
. For the fitting of model to data, available
( ) =
k( ) =
,
0
0
0
records for reported COVID-19 cases in Pakistan [47] between Jan 1, 2022 to Apr 10, 2022, the fractional model
is fitted to real data.
c( ) =
0
ck( ) =
0
5, 000
20, 000, 000
ck( ) =
,
0
,
200, 000
( ) =
,
0
1, 296, 527
,
1000
0
,
,
,
13
Phys. Scr. 98 (2023) 125223
M Usman et al
Figure 5. Simulations of the various classes for different fractional order when
0 >
1
.
14
Phys. Scr. 98 (2023) 125223
M Usman et al
Figure 6. Simulations of the Infection classes at different initial conditions when
0 >
1.
Figure 7. Simulations to assess the impact of COVID-19 vaccination rates on infected classes.
15
Phys. Scr. 98 (2023) 125223
M Usman et al
Figure 8. Impact of COVID-19 vaccine efficacy while keeping the vaccination rate same.
Figure 9. Impact of COVID-19 vaccination rate while keeping the vaccine efficacy same.
The fitting of the model to the cumulative COVID-19 cases [47], was done using the fmincon function in the
Optimization Toolbox of MATLAB [48]. The fmincon’s optimization routine syntax:
=
(
,
,
,
,
,
x
@
, 0,
fmincon modelfun x A b Aeq beq lb ub nonlcon options
,
starts at x0 (the initial guesses) and finds an optimized x to the function described in @modelfun that fits the
model to a given data set, subject to the nonlinear inequalities c(x) or equalities ceq(x) defined in nonlcon, and
also subject to the linear inequalities A. x b and linear equalities Aeq. x = beq, defined in A, b, Aeq, beq,
respectively. x0 can be a scalar, vector, or matrix. lb and ub are the bounds on the parameters to be estimated. The
optimization parameters and error tolerance are specified in options. The method utilizes the least squares
method, which is very efficient and reliable [49]. The method seeks to fit the observed data sets, Yi, with the
estimated values, Xi, such that; the sum of squares of errors between the observed and fitted curve is minimal
[49]. The sum of squares error, SSE, is illustrated mathematically as:
,
,
)
k
å=
=
1
i
The fitting which is shown in figure 2 reveals that our model behaves very well with the Pakistan real data. The
estimated parameters are given in table 1. The optimized value of the Caputo derivative for which the model fits
well to data is ω = 0.97.
2
)
X .
i
SSE
-
Y
i
(
The flow chart describing the fitting process is also given in the Appendix (figure A1).
In figures 3(a)–(j), simulations of all the epidemiological compartments at different orders of the derivatives
are presented. It is observed that the fractional order greatly impact the dynamics of the disease in
when
each compartment. This is due to the memory effect which is an important feature of definition of the non-
integer derivative.
0 <
1
The trajectory diagram for the infected classes (AC, IK, ACK) at different initial conditions when
and
different order of the derivative are presented in figures 4(a)–(e), respectively. It can be observed that trajectories
for each infected compartment tends towards the infection-free steady state when
initial conditions and order of the derivative.
irrespective of the
0 <
0 <
1
1
Also, as can be observed in figures 5(a)–(j), simulations of all the model compartments at different orders of
are presented. It can be observed that the fractional order greatly impact
1
the fractional derivatives when
the dynamics of the disease in each compartment.
0 >
It is worthy of mention, to point out that, the Caputo fractional operator endowed with a singular kernel provides
more advantages in modeling epidemic disease transmissions by assuming a more flexible framework that captures
16
Phys. Scr. 98 (2023) 125223
M Usman et al
Figure 10. Simulations of the cholera and co-infected classes to assess the impact of direct and indirect transmissions.
memory effects, non-local behavior, as well as complex dynamics. This memory effects suggests that the history of the
system is captured. In a co-dynamical transmission model for COVID-19 and cholera, this might be particularly
useful for capturing the effect of past infections, immunity, or interventions on the current state of the population.
Unlike classical integer derivative, fractional derivative shows that the behavior of the system at a particular point in
time depends on its history over a range of time, which could be crucial for modeling the spread of disease co-
dynamics since past interactions can greatly influence future outcomes.
The phase portraits of the infected classes AC, IK and ACK at different initial conditions when
and for
different order of the derivative are presented in figures 6(a)–(e), respectively. It can be observed that the solution
paths for all the infected classes tend towards the endemic equilibrium when
conditions and order of the derivative.
1
, irrespective of the initial
0 >
0 >
1
Numerical assessment to observe the epidemiological impact of COVID-19 vaccination on the
dynamics of infected compartments are presented in figures 7(a)–(d). It is observed that increasing
vaccination rates for COVID-19 lead to positive population level impact on infected compartments. Thus,
for the reduction
of the co-spread of both diseases, more effort should be harnessed to increase vaccination rates for
COVID-19.
It is observed from the figures 8(a)–(b) that increasing the vaccine efficacy while keeping the vaccination rate
same yield decline in the infected individuals. It has been estimated that increment in the vaccine efficacy from
fc = 0.40 to fc = 0.60 yield decline of 34.21% and 33.32% for asymptomatic and symptomatic infected
individuals with COVID-19, respectively. It has also been observed that increment from fc = 0.40 to fc = 0.80
yield decline of 67.13% and 65.87% for the above mentioned compartments.
It is observed from the figures 9(a)–(b) that increasing the vaccination rate while keeping the vaccine
efficacy same yield the same behaviour described in the previous simulations. Specifically, it was
observed that increment in the vaccination rate from fc = 0.40 to fc = 0.60 yield decline of 31.80% and 30.78%,
17
Phys. Scr. 98 (2023) 125223
M Usman et al
Figure 11. Effect of some important model parameters on COVID-19 associated reproduction number.
respectively for asymptomatic infected individuals and symptomatic infected individuals with COVID-19. It was also
observed that an increment in the vaccination rate, from fc = 0.40 to fc = 0.80 per day yields decrease of 48.36% and
46.98% asymptomatic and symptomatic infected individuals, respectively.
Simulations to assess the impact of direct transmission of cholera disease on the dynamics of single infections and
co-infections are presented in figures 10(a)–(c), respectively. It is observed that the direct transmission rates greatly
impact the dynamics of the disease in these compartments. Similarly, simulations to investigate the impact of indirect
transmission of cholera on the infected components of the model are presented in figures 10(d)–(f). Also, a noticeable
impact of this transmission route is observed on the dynamics in the infected compartments. Figures 11(a)–(g) show
the contour plots of the COVID-19 associated reproduction number as a function of the transmission rate and some
other important parameters. It can be noticed from the figures that an increase in the transmission rates for COVID-19
resulted in a corresponding increase in the reproduction number (as expected). Similarly, increasing the transition rate
1aw also lead to an increase in the reproduction number. Increment in the COVID-19 vaccine efficacy (while keeping
the vaccination rate fixed at
COVID-19 vaccination rate (while fixing the vaccine efficacy for COVID-19 at
cf =w
COVID-19 associated reproduction number. The impacts of other parameters such as
) resulted in a decline in the COVID-19 disease burden. Also, increasing the
) led to a decline in the
w and ρ ω
x
on the
c
0.85
w
2d
,
1d =w
0.8
w
,c
h
18
Phys. Scr. 98 (2023) 125223
M Usman et al
Figure 12. Effect of different parameters on reproduction number for cholera
reproduction number are also pointed out. Figures 12(a)–(f) show the contour plots of the cholera associated
reproduction number as a function of the transmission rate and some other important parameters. It is observed that,
increasing the cholera vaccine efficacy (
) led to a decline in the
cholera disease burden. Similarly, reduction in cholera associated reproduction number is observed when we increase
the vaccination rate(
influencing the cholera dynamics are
2d w) for cholera while fixing the cholera vaccine efficacy (
w and 1qw.
k
kfw) while fixing the cholera vaccination rate (
). Other parameters
kf =w
2d =w
hw
,k
0.22
0.80
x
7. Conclusion
In this paper, a co-dynamical cholera and COVID-19 model, incorporating both direct and indirect
transmissions for cholera, is developed and analyzed using the concepts from fractional calculus. The definition
of Caputo operator is used and the necessary conditions for the existence of unique solution of the system are
derived. Using the results from fixed point theory, the system’s stability analysis is discussed in the sense of
Ulam-Hyers. The model is related with real data from Pakistan and fractional order which gave the best fit was
also investigated. Numerical experiments on the impact of vaccination were also performed. Through
simulations, it was also pointed out the impact of COVID-19 and cholera vaccinations, direct and indirect
transmissions of cholera on both diseases dynamics.
Highlights of the simulation include:
(i) The model relates well with data when the order of fractional derivative is taken as ω = 0.97.
(ii) Varying fractional order greatly impact the dynamics of diseases in each compartment.
(iii) Phase portraits of the infected classes at different initial conditions revealed that the trajectories of the
infected compartments tend towards the infection-free steady state when
state when
1
, irrespective of the initial conditions and order of the fractional derivative.
0 <
1
and the endemic steady
0 >
19
Phys. Scr. 98 (2023) 125223
M Usman et al
(iv) Increment in the COVID-19 vaccine efficacy (while keeping the vaccination rate fixed at
) resulted
in a decline in the COVID-19 disease burden. Also, increasing the COVID-19 vaccination rate (while fixing
the vaccine efficacy for COVID-19 at
) led to a decline in the COVID-19 associated reproduction
number. The simulations also pointed out the impact of COVID-19 and cholera vaccinations, direct and
indirect transmissions of cholera.
cf =w
1d =w
0.85
0.8
(v) Increasing vaccination rates for COVID-19 or cholera also resulted in some positive impact on the co-
infected compartments.
(vi) The indirect transmission rate had more impact on the dynamics of cholera in single and co-infected
compartments.
Thus, to reduce the co-spread of both diseases, more effort should be harnessed to increase vaccination rates for
both diseases, and also curtail the direct and indirect transmission of cholera infection.
The research in this paper can be extended in the following ways: One could consider stochastic equivalence
as well as fractal fractional of the current model for a possible research problem. Approximate solution of the
model using some other novel numerical schemes that can yield the better results can also be considered.
Moreover, one could also establish the existence, uniqueness and stability results using some novel fixed point
theorems.
Acknowledgments
The second author was supported by the Higher Education Commission of Pakistan (NRPU project No. 9340).
Data availability statement
All data that support the findings of this study are included within the article (and any supplementary files).
Conflict of interest
The authors declare that they have no conflict of interests.
Appendix
Figure A1. Flow chart for data fitting of the model.
20
Phys. Scr. 98 (2023) 125223
ORCID iDs
M Usman et al
Muhammad Usman
Mujahid Abbas
Andrew Omame
https://orcid.org/0000-0001-6818-086X
https://orcid.org/0000-0001-5528-1207
https://orcid.org/0000-0002-1252-1650
References
[1] Phelan A L, Katz R and Gostin L O 2020 The novel coronavirus originating in Wuhan, China: challenges for global health governance
JAMA 323 709–10
[2] Woelfel R et al 2020 Virological assessment of hospitalized patients with COVID-2019 Nature 581 465–9
[3] Bai Y, Yao L, Wei T, Tian F, Jin D Y, Chen L and Wang M 2020 Presumed asymptomatic carrier transmission of COVID-19 JAMA 323
1406–7
[4] United States Food and Drug Administration (2020). FDA Takes key action in fight against covid-19 by issuing emergency use
authorization for first covid-19 vaccine. Accessed June 17, 2021. 2021 https://fda.gov/news-events/press-announcements/
[5] Interim Clinical Considerations for Use of COVID-19 Vaccines Currently Authorized in the United States. Accessed July 14, 2021.
2021 https://cdc.gov/vaccines/covid-19/clinical-considerations/covid-19-vaccines-us.html
[6] Maliha Naseer T J 2022 Epidemiology, determinants and dynamics of cholera in Pakistan: gaps and prospects for future research—
PubMed J. Coll. Physicians Surg .Pak. 24 855–60. https://pubmed.ncbi.nlm.nih.gov/25404447/
[7] Dickson W P 1882 Report on an Outbreak of Cholera in the Lahore Central Jail in August 1881 Ind Med Gaz 17 204–8
[8] Siddiqui F J et al 2006 Consecutive outbreaks of Vibrio cholerae O139 and V. cholerae O1 cholera in a fishing village near Karachi,
Pakistan Trans R Soc. Trop. Med. Hyg. 100 476–82
[9] Khan H A, Masood W, Siddiqui A, Ahmad S, Salman Y and Essar M Y 2022 The Cholera outbreak in Karachi, Pakistan: Challenges,
efforts and recommendations Annals of Medicine and Surgery 78 103873
[10] 129 confirmed cholera cases in Karachi in 2022 but no outbreak, say health officials. https://www.thenews.com.pk/print/953609-
129-confirmed-cholera-cases-in-karachi-in-2022-but-no-outbreak-say-health-officials. (Accessed 6 May 2022). 2022
[11] Cholera. https://www.who.int/news-room/fact-sheets/detail/cholera. (Accessed 6 2022). 2022
[12] Jutla A et al 2013 Environmental factors influencing epidemic cholera The American Journal of Tropical Medicine and Hygiene 89 597
[13] Cholera—symptoms and causes—Mayo clinic. https://www.mayoclinic.org/diseases-conditions/cholera/symptoms-causes/syc-
20355287. (Accessed 6 May 2022). 2022
[14] Cholera, 2015. Releve epidemiologique hebdomadaire/Section d-hygiene du Secretariat de la Societe des Nations=Weekly
epidemiological record/Health Section of the Secretariat of the League of Nations. 2016;91:433-40.
[15] Capasso V and Serio G 1978 A generalization of the Kermack-McKendrick deterministic epidemic model Math. Biosci. 42 43–61
[16] Capasso V and Paveri-Fontana S L 1979 Mathematical model for the 1973 cholera epidemic in the European Mediterranean region,
Revue d’Epidemiologie et de Sante Publique 27 121–32
[17] Codeco C T 2001 Endemic and epidemic dynamics of cholera: the role of the aquatic reservoir BMC Infectious Diseases 1 1
[18] Mukandavire Z, Liao S, Wang J, Gaff H, Smith D L and Morris J G Jr. 2011 Estimating the reproductive numbers for the 2008-2009
cholera outbreaks in Zimbabwe PNAS 108 8767–72
[19] Liao S and Wang J 2012 Global stability analysis of epidemiological models based on Volterra-Lyapunov stable matrices Chaos Solitons
Fractals 45 966–77
[20] Omame A and Abbas M 2023 The stability analysis of a co-circulation model for COVID-19, dengue, and zika with nonlinear incidence
rates and vaccination strategies Healthcare Analytics 3 100151
[21] Olaniyi S 2018 Dynamics of zika virus model with nonlinear incidence and optimal control strategies Appl. Math. Inform. Sci. 12
969–82
[22] Opara C Z, Uche-Iwe N, Inyama S C and Omame A 2020 A mathematical model and analysis of an sveir model for streptococcus
pneumonia with saturated incidence force of infection Mathematical Modelling and Applications. 5 16–38
[23] Asamoah J K K, Okyere E, Abidemi A, Moore S E, Sun G-Q, Jin Z, Acheampong E and Gordon J F 2022 Optimal control and
comprehensive cost-effectiveness analysis for COVID-19 Results in Physics 33 105177
[24] Addai E, Zhang L, Preko A K and Asamoah J K K 2022 Fractional order epidemiological model of SARS-CoV-2 dynamism involving
Alzheimer’s disease Healthcare Analytics 2 100114
[25] Omame A and Abbas M 2023 Modeling SARS-CoV-2 and HBV co-dynamics with optimal control Physica A 615 128607
[26] Hezam I M, Foul A and Alrasheedi A 2021 A dynamic optimal control model for COVID-19 and cholera co-infection in Yemen Adv
Differ Equ. 108 2021
[27] Caputo M 1966 Linear models of dissipation whose Q is almost frequency independent Annals of Geophysics 19 383–93
[28] Caputo M and Fabrizio M 2015 A new definition of fractional derivative without singular kernel Progress in Fractional Differentiation
and Applications 1 1–3
[29] Atangana A and Baleanu D 2016 New fractional derivatives with nonlocal and non-singular kernel: theory and applications to heat
transfer model Therm Sci. 20 763–9
[30] Peter O J, Qureshi S, Yusuf A, Al-Shomrani M and Abioye Idowu A 2021 A new mathematical model of COVID-19 using real data from
Pakistan Results in Physics 24 104098
[31] Naik P A et al 2020 Modeling and analysis of COVID-19 epidemics with treatment in fractional derivatives using real data from
Pakistan Eur. Phys. J. Plus 135 795
[32] Musa S S, Qureshi S, Zhao S, Yusuf A, Mustapha U T and He D 2021 Mathematical modeling of COVID-19 epidemic with effect of
awareness programs Infectious Disease Modelling 6 448–60
[33] Memon Z, Qureshi S and Memon B R 2021 Assessing the role of quarantine and isolation as control strategies for COVID-19 outbreak:
A case study Chaos, Solitons Fractals 144 110655
[34] Ibrahim A, Humphries U W, Ngiamsunthorn P S, Baba I A, Qureshi S and Khan A 2023 Modeling the dynamics of COVID-19 with real
data from Thailand Sci. Rep. 13 13082
[35] Din A, Li Y, Khan F M, Khan Z U and Liu P 2021 On Analysis of fractional order mathematical model of Hepatitis B using Atangana-
Baleanu Caputo (ABC) derivative Fractals 30 2240017
[36] Din A, Li Y, Yusuf A and Ali A I 2022 Caputo type fractional operator applied to Hepatitis B system Fractals 30 2240023
21
Phys. Scr. 98 (2023) 125223
M Usman et al
[37] Liu P, Din A and Zarin R 2022 Numerical dynamics and fractional modeling of hepatitis B virus model with non-singular and non-local
kernels Results in Physics 39 105757
[38] Liu P, Huang X, Zarin R, Cui T and Din A 2023 Modeling and numerical analysis of a fractional order model for dual variants of SARS-
CoV-2 Alexandria Engineering Journal 65 427–42
[39] Usman M, Abbas M and Omame A 2023 Analysis of the solution of a model of sars-cov-2 variants and its approximation using two-step
lagrange polynomial and euler techniques Axioms 12 480
[40] Ozkose F, Habbireeh R and Senel M T 2023 A novel fractional order model of SARS-CoV-2 and Cholera disease with real data
J. Comput Appl Math 423 114969
[41] Yong Z, Jinrong W and Lu Z 2016 Basic Theory of Fractional Differential Equations (World Scientific)
[42] van den Driessche P and Watmough J 2002 Reproduction numbers and sub-threshold endemic equilibria for compartmental models
of disease transmission Math. Biosci. 180 29–48
[43] Ulam S M 1960 A Collection of Mathematical Problems (New York, NY, USA: Interscience Publ.)
[44] Ulam S M 2004 Problem in Modern Mathematics (Mineola, NY, USA: Dover Publications)
[45] Diethelm K, Ford N J and Freed A D 2004 Detailed error analysis for a fractional Adams method Numer. Algorithms 36 31–52
[46] Baleanu D, Jajarmi A and Hajipour M 2018 On the nonlinear dynamical systems within the generalized fractional derivatives with
Mittag-Leffler kernel Nonlinear Dyn 94 397–414
[47] Pakistan: Coronavirus Pandemic Country Profile. https://ourworldindata.org/coronavirus/country/pakistan. Accessed 11 Novem-
ber, 2022 2022
[48] McCall J 2005 Genetic algorithms for modelling and optimisation J. Comput. Appl. Math. 184 205–22
[49] Martcheva M 2015 An Introduction to Mathematical Epidemiology vol 61 (Springer)
[50] Okuonghae D and Omame A 2020 Analysis of a mathematical model for COVID-19 population dynamics in Lagos Nigeria, Chaos,
Solitons Fractals 139
[51] Cash R A, Music S I, Libonati J P, Snyder M J, Wenzel R P and Hornick R B 1974 Response of man to infection with Vibrio cholerae. I.
Clinical, serologic, and bacteriologic responses to a known inoculum J. Infect .Dis. 129 45–52
[52] Yang Z R et al 2023 Efficacy of SARS-CoV-2 vaccines and the dose-response relationship with three major antibodies: a systematic
review and meta-analysis of randomised controlled trials Lancet Microbe. 4 e236–46
[53] Song K R, Lim J K, Park S E, Saluja T, Cho S I, Wartel T A and Lynch J 2021 Oral Cholera Vaccine Efficacy and Effectiveness (Basel) 9 1482
[54] Shuai Z, Tien J H and van den Driessche P 2012 Cholera models with hyper infectivity and temporary immunity Bull. Math. Biol. 74
2423–45
[55] Jensen M A, Faruque S M, Mekalanos J J and Levin B R 2006 Modeling the role of bacteriophage in the control of cholera outbreaks
PNAS 103 4652–7
[56] Sanches R P, Ferreira C P and Kraenkel R A 2011 The role of immunity and seasonality in cholera epidemics Bull. Math. Biol. 73
2916–31
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10.1103_physrevd.106.012002.pdf
| null | null |
PHYSICAL REVIEW D 106, 012002 (2022)
Search for resonances decaying to three W bosons in the hadronic
p
ffiffi
s
= 13 TeV
final state in proton-proton collisions at
A. Tumasyan et al.*
(CMS Collaboration)
(Received 24 December 2021; accepted 15 June 2022; published 6 July 2022)
p
ffiffiffi
s
A search for Kaluza-Klein excited vector boson resonances, WKK, decaying in cascade to three W
bosons via a scalar radion R, WKK → WR → WWW, in a final state containing two or three massive jets is
¼ 13 TeV proton-proton collision data collected by the CMS
presented. The search is performed with
experiment at the CERN LHC during 2016–2018, corresponding to an integrated luminosity of 138 fb−1.
Two final states are simultaneously probed, one where the two W bosons produced by the R decay are
reconstructed as separate, large-radius, massive jets, and one where they are merged into a single large-
radius jet. The observed data are in agreement with the standard model expectations. Limits are set on the
product of the WKK resonance cross section and branching fraction to three W bosons in an extended
warped extra-dimensional model and are the first of their kind at the LHC.
DOI: 10.1103/PhysRevD.106.012002
I. INTRODUCTION
The search for physics beyond the standard model (SM)
is one of the most important elements of the research
program at the CERN LHC. Direct searches performed at
the LHC have not yet found any compelling evidence for
such new physics. However, novel
ideas and recently
developed techniques expand the potential for discovery.
For example, in the CMS Collaboration, deep machine
learning techniques for tagging Lorentz-boosted resonan-
ces decaying hadronically [1] have been developed and
exploited extensively for both searches beyond the SM and
measurements of the properties of the Higgs boson (H) [2].
New physics scenarios involving yet-unprobed signatures
of resonant triboson final states through a two-step cascade
decay of heavy resonances in extended warped extra-
dimensional models [3–8] have recently been proposed.
These models provide an attractive extension of the SM,
which addresses the Planck-electroweak scale difference
and flavor hierarchy problems simultaneously. The theory
model probed assumes a Randall-Sundrum scenario with
an extended bulk consisting of two extra branes other than
the one on which the SM resides [3]. Only the electroweak
gauge fields can propagate into the extended bulk. The size
*Full author list given at the end of the article.
Published by the American Physical Society under the terms of
license.
the Creative Commons Attribution 4.0 International
Further distribution of this work must maintain attribution to
the author(s) and the published article’s title, journal citation,
and DOI. Funded by SCOAP3.
of the extra dimension is stabilized with a mechanism
introducing a potential with a modulus field [9], resulting in
a bulk scalar boson, the radion, for each additional brane.
Such extended models can also incorporate heavy reso-
nances that have enhanced decays into triboson final states
as compared with direct decays into dibosons and top
quark-antiquark pairs. Thus, a set of new final states
emerges with a discovery potential within LHC reach.
In this paper, we report on a search for massive
resonances decaying in a cascade into three W bosons,
→ WR and R → WW, where WKK is a
through WKK
Kaluza-Klein (KK) massive excited gauge boson and R
is a scalar radion. The analysis is based on proton-proton
¼ 13 TeV collected by the CMS
(pp) collision data at
experiment at the LHC during 2016–2018, corresponding
to an integrated luminosity of 138 fb−1. Since the WKK
excitation has a mass of the order of several TeV, the W
bosons typically have transverse momenta (pT) of several
hundred GeV.
p
ffiffiffi
s
In a large fraction of the parameter space (mR ≲ 0.8mWKK),
the W boson not originating from the radion decay is highly
boosted and its decay products are contained in a single large-
radius jet. However, depending on the relative masses of the
WKK and R resonances, the two W bosons from the R decay
can either produce two large-radius jets (“resolved” case), or
one single large-radius jet containing both W bosons
(“merged” case). These two possibilities are illustrated in
Fig. 1; the merged case is predominant when mR ≤ 0.2mWKK,
where mR and mWKK are the masses of the R and WKK bosons,
respectively. As a result, the final states considered here
require two or three massive jets, predominantly targeting
2470-0010=2022=106(1)=012002(33)
012002-1
© 2022 CERN, for the CMS Collaboration
A. TUMASYAN et al.
PHYS. REV. D 106, 012002 (2022)
using jet substructure techniques, can be detected through
this search.
This paper is organized as follows: Section II provides a
description of the CMS detector. Section III describes the
datasets and simulation samples used in the analysis. The
triggers used for data collection and the event reconstruction
are discussed in Sec. IV. The massive jet tagging is described
in Sec. V. The event selection and event categorization are
presented in Sec. VI. The jet tagger calibration is described in
Sec. VII. Section VIII describes the estimation of the SM
background. Systematic uncertainties are discussed in
Sec. IX. The results and their interpretation are given in
Sec. X. A summary is presented in Sec. XI. Tabulated results
are provided in the HEPData record for this analysis [13].
II. THE CMS DETECTOR
The central feature of the CMS detector is a super-
conducting solenoid of 6 m internal diameter, providing a
magnetic field of 3.8 T. A silicon pixel and strip tracker, a
lead tungstate crystal electromagnetic calorimeter (ECAL),
and a brass and scintillator hadron calorimeter (HCAL),
each composed of a barrel and two end cap sections resides
within the solenoid volume. Forward calorimeters extend
the coverage provided by the barrel and end cap detectors
up to pseudorapidities of jηj ¼ 5. Muons are measured in
gas-ionization detectors embedded in the steel flux-return
yoke outside the solenoid.
Events of interest are selected using a two-tiered trigger
system. The first level, composed of custom hardware
processors, uses information from the calorimeters and
muon detectors to select events at a rate of around 100 kHz,
making a decision within the fixed period of 4 μs following
the beam crossing, allowed by the latency implemented in
the readout path [14]. The second level, known as the high-
level
trigger (HLT), consists of a farm of processors
running a version of the full event reconstruction software
optimized for fast processing, and reduces the event rate to
around 1 kHz before data storage [15]. A more detailed
description of the CMS detector, together with a definition
of the coordinate system and kinematic variables, can be
found in Ref. [16].
III. DATA SAMPLES AND EVENT SIMULATION
The data samples analyzed in this search correspond to a
total integrated luminosity of 138 fb−1. They were recorded
¼ 13 TeV in the years 2016, 2017,
in pp collisions at
and 2018, comprising 36.3, 41.5, and 59.7 fb−1, respec-
tively [17–19].
p
ffiffiffi
s
The signal is simulated at leading order (LO) using the
MadGraph5_aMC@NLO 2.4.2 generator [20], covering a wide
range of WKK and R masses (mWKK from 1.5 to 5.0 TeV,
and mR from 6 up to 90% of mWKK), together with the
parameters recommended by the authors of Refs. [3–6],
¼ 6,
i.e., a KK coupling to the radion and a W boson ggrav
FIG. 1. Schematic diagrams of the decay of a KK excitation of a
W boson (WKK) to the final states considered in this analysis.
Additional jets are allowed in the analysis but not considered
explicitly. Left: three individually reconstructed W bosons; right:
one individually reconstructed W boson and two W bosons
reconstructed as a single large-radius jet, which is predominant
for mR ≤ 0.2mWKK.
merged and resolved R decay topologies, respectively, and
no isolated charged leptons.
However, nonisolated leptons are allowed to be present
inside the jets formed by merged radion decay products
R → WW → lνqq. It is also possible to have additional
jets in the “compressed mass” scenario, mR ≳ 0.8mWKK
(depending on the specific value of mWKK), which can
feature at least one W boson with a low boost, whose decay
is resolved as two individual small-radius jets. Such events
are not explicitly targeted by this analysis as their pro-
duction rate is much smaller than the ones of the standard
scenarios described above. This is the first resonance search
of this kind in the all-hadronic final state. In the nonreso-
nant form, as predicted by the SM, the WWW process has
recently been observed in final states with at least two
charged leptons [10,11].
In both cases, merged and resolved, dedicated techniques
are applied to exploit the substructure of the W boson jets.
For the merged case, apart from the case in which a
nonisolated charged lepton overlaps with the hadronically
decayed W boson, it is also possible that the hadronization
products of one or more quarks from the fully hadronic
decay R → WW → qqqq are not clustered into the same
jet. Events identified as hadronically decaying W bosons
can also include cases where the decay W → τν is followed
by a hadronic decay of the tau lepton. These effects lead to
a complicated jet mass spectrum from the merged radion
that requires the design of a hybrid discriminant (“tagger”).
Events with a single isolated charged lepton in the final
state are considered in a similar, separate analysis with
nonoverlapping event selection, described in Ref. [12].
While the search is by design optimized for a WWW
signal, it is also partly sensitive to signals with similar
decay topologies. In particular, heavy resonances decaying
into WW, WZ, ZZ, WWZ, WZZ, ZZZ, Wt, Zt, WH, ZH,
WX, or ZX, where X denotes an unknown particle with
mass above 70 GeV whose decay products can be identified
012002-2
SEARCH FOR RESONANCES DECAYING TO THREE W …
PHYS. REV. D 106, 012002 (2022)
¼ 6.708, and a
KK gauge couplings gWKK
confinement parameter ϵ ¼ 0.5. The branching fraction
→ RW → WWW can reach values
for the decay WKK
above 50%.
¼ 3 and gZKK
Top quark pair and single top quark production are
modeled at next-to-LO (NLO) using the POWHEG 2.0
generator [21–26]. Events composed uniquely of jets
produced through the strong interaction are referred to
as quantum chromodynamics (QCD) multijet events.
These processes, along with background from W þ jets
and Z þ jets production, are simulated at LO with
MadGraph5_aMC@NLO, and matched to parton showers with
less important
the MLM [27] algorithm. The other,
backgrounds,
three
vector bosons V ¼ W, Z (diboson and triboson produc-
tion, respectively), are simulated at NLO with either
POWHEG (WW production) or MadGraph5_aMC@NLO (all
others). The simulation of t¯tW=Z events is performed at
LO using MadGraph5_aMC@NLO.
including processes with two or
All background and signal samples for the 2016 data-
taking conditions are generated with the NNPDF3.0 NLO
or LO parton distribution functions (PDFs) [28], with the
order matching that in the matrix element calculations. To
the
model processes in the 2017 and 2018 data sets,
NNPDF3.1 next-to-next-to-LO PDFs [29] are used for
all samples. Parton showering, fragmentation, and hadro-
nization for all samples are performed using PYTHIA 8.230
[30] with the underlying event tune CUETP8M1 [31] for
the 2016 analysis, and CP5 [32] for the 2017 and 2018
analyses. The CMS detector response is modeled using the
GEANT4 package [33,34]. A tag-and-probe procedure [35]
for data-to-simulation
is used to derive corrections
differences in reconstruction and selection efficiencies.
The simulated events include additional pp interactions
in the same and neighboring bunch crossings, referred to as
pileup (PU). The simulated events are weighted so the PU
vertex distribution matches the one from the data.
IV. EVENT RECONSTRUCTION
The candidate vertex with the largest value of summed
physics object p2
T is taken to be the primary pp interaction
vertex. The physics objects used for this determination are
the jets, clustered using the anti-kT jet finding algorithm
[36,37] with the tracks assigned to candidate vertices as
inputs, and the associated missing transverse momentum
( ⃗pmiss
), taken as the negative vector sum of the pT of
T
those jets.
A particle-flow (PF) algorithm [38] aims to reconstruct
and identify each interacting particle in an event, with an
optimized combination of information from the various
elements of the CMS detector. The energy of electrons is
determined from a combination of the track momentum at
the primary interaction vertex, the corresponding ECAL
cluster energy, and the energy sum of all bremsstrahlung
photons attached to the track. The energy of muons is
obtained from the curvature of the corresponding track. The
energy of charged hadrons is determined from a combi-
nation of their momentum measured in the tracker and the
matching ECAL and HCAL energy deposits, corrected for
the response function of the calorimeters to hadronic
showers. Finally, the energy of neutral hadrons is obtained
from the corresponding corrected ECAL and HCAL
energies.
For each event, hadronic jets are clustered from these
reconstructed particles using the infrared and collinear safe
anti-kT algorithm [36,37]. The clustering algorithm is run
twice over the same inputs, once with a distance parameter
of 0.4 (AK4 jets) and once with 0.8 (AK8 jets). Jet
momentum is determined as the vectorial sum of all particle
momenta in the jet, and is found from simulation to be, on
average, within 5% to 10% of the true momentum over the
entire pT spectrum and detector acceptance.
Pileup interactions can contribute additional tracks and
calorimetric energy depositions to the jet momentum. The
pileup per particle identification algorithm (PUPPI) [39,40]
is used to mitigate the effect of PU at the reconstructed
particle level. Using this algorithm,
the momenta of
charged and neutral particles are rescaled. Jet energy
corrections are derived from simulation to bring the
measured response of jets to that of particle-level jets on
average. In situ measurements of the momentum balance in
dijet, photon þ jet, Z þ jet, and multijet events are used to
account for any residual differences in the jet energy scale
between data and simulation [41]. The jet energy resolution
amounts typically to 15%–20% at 30 GeV, 10% at
100 GeV, and 5% at 1 TeV [41]. Additional selection
criteria are applied to each jet to remove jets potentially
dominated by anomalous contributions from various sub-
detector components or reconstruction failures [42].
takes as input:
Jets originating from the hadronization of b quarks are
identified using a deep neural network algorithm (DeepCSV)
that
tracks displaced from the primary
interaction vertex, identified secondary vertices, jet kin-
ematic variables, and information related to the presence of
soft leptons in the jet [43]. Working points (WPs) are used
that yield either a 1% (medium WP) or a 10% (loose WP)
probability of misidentifying a light flavor quark or a gluon
(udsg) AK4 jet with pT > 30 GeV as a b quark jet. The
corresponding average efficiencies for the identification of
the hadronization products of a bottom quark as a b quark
jet are about 70% and 85%, respectively.
The vector ⃗pmiss
is computed as the negative vector sum
of the transverse momenta of all the PF candidates in an
[44]. The ⃗pmiss
event, and its magnitude is denoted as pmiss
is modified to account for corrections to the energy scale of
the reconstructed jets in the event. Anomalous high-pmiss
events can be due to a variety of reconstruction failures,
detector malfunctions, or noncollision backgrounds. Such
events are rejected by event filters that are designed to
T
T
T
T
012002-3
A. TUMASYAN et al.
PHYS. REV. D 106, 012002 (2022)
identify more than 85%–90% of the spurious high-pmiss
events with a mistagging rate of less than 0.1% [44].
T
Hadronic decays of W=Z bosons are identified with the
groomed jet mass (mj) and a novel deep learning algorithm
with the PF candidates and secondary vertices as inputs [1].
The groomed jet mass is calculated after applying a
modified mass-drop algorithm [45,46] to AK8 jets, with
parameters β ¼ 0, zcut
¼ 0.1, and R0 ¼ 0.8. This algorithm
is also known as the soft-drop algorithm [47]. The variables
are calibrated in a top quark-antiquark sample enriched in
hadronically decaying W bosons [48]. Further details on
the calibration method used for this analysis are given in
Sec. VII.
Muon (μ) and electron (e) candidates are reconstructed in
order to veto events containing such energetic leptons.
Muon candidates are required to be within the geometrical
acceptance of the muon detectors (jηj < 2.4) and are
reconstructed by combining the information from the
silicon tracker and the muon chambers [49]. These candi-
dates are required to satisfy a set of quality criteria based on
the number of hits measured in the silicon tracker and in the
muon system, the properties of the fitted muon track, and
the transverse and longitudinal impact parameters of the
to the primary vertex of the event.
track with respect
Electron candidates within jηj < 2.5 are reconstructed
using an algorithm that associates fitted tracks in the silicon
tracker with electromagnetic energy clusters in the ECAL
[50]. To reduce the misidentification rate, these candidates
are required to satisfy identification criteria based on the
shower shape of the energy deposit, the matching of the
electron track to the ECAL energy cluster, the relative
amount of energy deposited in the HCAL detector, and the
consistency of the electron track with the primary vertex.
Because of nonoptimal reconstruction performance, elec-
tron candidates in the transition region between the ECAL
barrel and end caps, 1.44 < jηj < 1.57, are discarded.
Electron candidates identified as coming from photon
conversions in the detector are also rejected. Identified
muons and electrons are required to be isolated from
hadronic activity in the event. The isolation sum is defined
by summing the pT of all the PF candidates in a cone of
radius ΔR ¼
¼ 0.4ð0.3Þ around the
muon (electron) track, and is corrected for the contribution
of neutral particles from PU interactions [49,50].
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
ðΔηÞ2 þ ðΔϕÞ2
p
(ii) R3q, similar to the former but with one quark leaking
outside of the jet cone, producing a three-prong jet
(iii) Rlqq, where one of the two daughter W bosons
decays leptonically (R → WW → lνqq), resulting
in a jet containing an energetic, charged, nonisolated
lepton
All these types of R candidate jets are reconstructed as
AK8 jets.
Both W and R boson candidates are tagged using the
DEEPAK8 jet classification framework [1]. This modular
tagging framework has been designed by the CMS
Collaboration to identify hadronically decaying top quarks
as well as W, Z, and Higgs bosons. The algorithm uses
machine learning techniques based on PF candidates,
secondary vertices, and other inputs to classify the AK8
jets into 17 categories. These categories include jets arising
from W → qq, Z → qq, t → bqq, H → 4q, and gluon or
light-quark decay. To remove a potential mass dependence
from the classifier output, a generative adversarial neural
network is used to create “mass-decorrelated” outputs. The
final output is a set of 17 “raw scores” per jet, where each
one gives the likelihood of the jet originating from a
particular decay. Discriminants have been developed by
summing these raw scores and taking appropriate ratios to
select particular types of jets, while rejecting others.
Two particular discriminants are used for this analysis.
The first, “deep-W,” aims to identify W boson candidates
through the W → qq and QCD multijet
raw scores,
selecting and rejecting compatible jets, respectively. The
second, “deep-WH,” is used to identify merged R boson
candidates of types Rlqq, R3q, and R4q. This is achieved by
making use of the W → qq and H → 4q raw scores, which
select radionlike jet types while rejecting QCD multijet
candidates. The corresponding formulas are as follows:
deep-W ¼
raw scoreðW → qqÞ
raw scoreðW → qqÞ þ raw scoreðQCDÞ ;
ð1Þ
used for tagging W boson candidates with mass mj in the
range 60–100 GeV, and
deep-WH ¼
r:s:ðW → qqÞ þ r:s:ðH → 4qÞ
r:s:ðW → qqÞ þ r:s:ðH → 4qÞ þ r:s:ðQCDÞ ;
ð2Þ
V. MASSIVE JET TAGGING
The signal event signatures include two types of massive
jets (mj > 60 GeV) originating from the merged decay
products of either W or R bosons. We consider three main
cases for the merged R boson decay, designated and defined
as follows:
(i) R4q, where the two daughter W bosons decay
hadronically (R → WW → qqqq) with all four fi-
nal-state quarks contained in the reconstructed jet
where “r.s.” denotes the raw score, used for tagging radion
candidates with mass mj > 100 GeV.
For both taggers, the mass-decorrelated version is used
to avoid distorting the mass distribution (mass sculpting)
and to retain the sensitivity to radions with mass greater
than those of the W and Higgs bosons. The tagger
discriminant distributions are presented in Fig. 2 (lower
row) using a loose selection that will be defined in
Sec. VI B.
012002-4
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PHYS. REV. D 106, 012002 (2022)
138 fb
(13 TeV)
1−
, single t
Multijet
W+jets
tt
Other (VV, Z+jets)
Wm
Rm
Wm
= 0.2 TeV
Wm
= 1 TeV
Wm
Rm
= 1.5 TeV,
= 2 TeV,
= 2 TeV,
= 2.5 TeV,
= 1 TeV
Rm
Rm
= 0.3 TeV
310×
CMS Simulation
Preselection
N
= 2
j
1400
1200
1000
800
600
400
200
V
e
T
1
.
0
/
s
t
n
e
v
E
310×
CMS Simulation
Preselection
N
= 3
j
450
400
350
300
250
200
150
100
50
V
e
T
1
.
0
/
s
t
n
e
v
E
138 fb
(13 TeV)
1−
, single t
Multijet
W+jets
tt
Other (VV, Z+jets)
Wm
Rm
Wm
= 0.2 TeV
Wm
= 1 TeV
Wm
Rm
= 1.5 TeV,
= 2 TeV,
= 2 TeV,
= 2.5 TeV,
= 1 TeV
Rm
Rm
= 0.3 TeV
0
1
1.5
2
2.5
jjm
3
(TeV)
3.5
4
0
1
1.5
2
2.5
jjjm
3
3.5
4
(TeV)
138 fb
(13 TeV)
1−
, single t
Multijet
W+jets
tt
Other (VV, Z+jets)
Wm
Rm
Wm
= 0.2 TeV
Wm
= 1 TeV
Wm
Rm
= 1.5 TeV,
= 2 TeV,
= 2 TeV,
= 2.5 TeV,
= 1 TeV
Rm
Rm
= 0.3 TeV
138 fb
(13 TeV)
1−
, single t
Multijet
W+jets
tt
Other (VV, Z+jets)
Wm
Rm
Wm
= 0.2 TeV
Wm
= 1 TeV
Wm
Rm
= 1.5 TeV,
= 2 TeV,
= 2 TeV,
= 2.5 TeV,
= 1 TeV
Rm
Rm
= 0.3 TeV
310×
CMS Simulation
Preselection
= 2
N
j
700
600
500
400
300
200
100
V
e
G
0
1
/
s
t
n
e
v
E
0
50
100
150
maxm
j
200
(GeV)
250
300
310×
CMS Simulation
Preselection
= 3
N
j
350
300
250
200
150
100
50
0
50
100
150
138 fb
(13 TeV)
1−
, single t
Multijet
W+jets
tt
Other (VV, Z+jets)
Wm
Rm
Wm
= 0.2 TeV
Wm
= 1 TeV
Wm
Rm
= 1.5 TeV,
= 2 TeV,
= 2 TeV,
= 2.5 TeV,
= 1 TeV
Rm
Rm
= 0.3 TeV
310×
CMS Simulation
Preselection
= 2
N
j
maxm
j
> 100 GeV
1000
800
600
400
200
5
0
0
/
.
s
t
n
e
v
E
0
0
0.2
0.4
200
(GeV)
maxm
j
250
300
138 fb
(13 TeV)
1−
, single t
Multijet
W+jets
tt
Other (VV, Z+jets)
Wm
Rm
Wm
= 0.2 TeV
Wm
= 1 TeV
Wm
Rm
= 1.5 TeV,
= 2 TeV,
= 2 TeV,
= 2.5 TeV,
= 1 TeV
Rm
Rm
= 0.3 TeV
310×
CMS Simulation
Preselection
= 3
N
j
maxm
j
: 60-100 GeV
140
120
100
80
60
40
20
V
e
G
0
1
/
s
t
n
e
v
E
5
0
0
/
.
s
t
n
e
v
E
0.6
max
deep-WH
0.8
1
0
0
0.2
0.4
deep-W
0.6
max
0.8
1
, and deep-WH (for highest mass jet with mmax
FIG. 2. Variables discriminating between signal and background in simulation. Left column, upper to lower rows: the distributions of
j > 100 GeV) for preselected events with Nj ¼ 2. Right column, upper to lower
mjj, mmax
j < 100 GeV) for preselected events with Nj ¼ 3.
rows: the distributions of mjjj, mmax
The signal processes are scaled to 500 times their theoretical cross sections for visibility.
, and deep-W (for highest mass jet with 60 < mmax
j
j
012002-5
A. TUMASYAN et al.
PHYS. REV. D 106, 012002 (2022)
VI. EVENT SELECTION
A. Trigger
The analysis uses events that are selected by a range of
different HLT paths. One set of paths requires HT, the
scalar sum of the pT of all AK4 jets in the event, to be
greater than 800, 900, or 1050 GeV, depending on the data
collection year. In addition, events with HT > 650 GeV
and a pair of jets with invariant mass above 900 GeV and a
pseudorapidity separation jΔηj < 1.5 are also selected for
the 2016 dataset. A different set of paths selects events
where the pT of the leading AK8 jet
is greater than
500 GeV, or the pT is greater than 360 GeV and the
“trimmed mass” of an AK8 jet is above 30 GeV. The jet
trimmed mass is obtained after removing remnants of soft
radiation with the jet trimming technique [51], using a
subjet size parameter of 0.3 and a subjet-to-AK8 jet pT
fraction of 0.1. The trigger selection efficiency is measured
to be greater than 99% for events with HT > 1.1 TeV,
using an independent sample of data events collected with a
single-muon trigger.
B. Preselection and signal region
Events are selected in two stages; the first, “preselec-
tion,” is initially applied to explore kinematic features of the
signal compared to the SM background. A tighter selection,
the signal region (SR) selection, is then applied to further
improve the background rejection. The final analysis uses
the SR events, while the preselected events are used to
calibrate and validate the DEEPAK8 discriminants deep-W
and deep-WH. In the following, we simply use the term
“jets” to indicate massive AK8 jets if not stated differently.
the
conditions
kinematic
following
define
The
preselection:
(i) jet pj
T > 200 GeV
(ii) number of jets, Nj, exactly 2 or 3
(iii) highest pT jet pj1
T > 400 GeV
(iv) mass of the two highest pT jets mj1;j2 > 40 GeV
(v) no isolated lepton (Nl ¼ 0) with pl
and jηlj < 2.4ð2.5Þ for μ (e).
T > 20ð35Þ GeV
The triboson signal is expected to show a peak in the
distribution of the invariant mass of the jets, mjj in dijet
events and mjjj in trijet events. These distribution are used
for the statistical analysis. Figure 2 (upper row) shows the
mjj (mjjj) spectra for signal and background after prese-
lection. The signal processes are scaled to 500 times their
theoretical cross sections.
To define the SR selection, we add the following
¼
conditions to the preselection criteria. In the case of Nj
2 events, the higher and lower jet masses are designated as
mmax
, respectively. The higher-mass jet is taken to
j
be the radion candidate, and the lower-mass jet to be the W
j > 70 GeV
boson candidate. Therefore, we require mmax
and 70 < mmin
j < 100 GeV. In the case of events with
and mmin
j
j
j
j
¼ 3, mmax
; mmax
j
and mmin
are defined as above, with mmid
Nj
j
designating the jet
intermediate in mass. The two
highest mass jets are considered as W boson candidates,
Þ < 100 GeV. The low-
and we demand 70 < ðmmid
j < 100 GeV.
est mass jet is required to have mass mmin
This jet can correspond to either a merged W boson
(60 < mmin
j < 100 GeV) or to a single quark originating
j < 60 GeV). Therefore, we
from a W boson decay (mmin
allow at most one of the three W bosons to be resolved into
a pair of low-mass jets (mj < 60 GeV) with exactly one of
the two daughter-quark jets required to have pT above the
200 GeV threshold. Figure 2 (middle row) shows the mmax
distributions.
further
candidates,
Jets in the mass range 60–100 (> 100) GeV, as W boson
(radion)
selected using the
deep-Wðdeep-WHÞ discriminant. Figure 2 (lower row)
presents the deep-Wðdeep-WHÞ distributions for the high-
est mass jets after preselection. The conditions deep-W >
0.8 and deep-WH > 0.8 are required for events with two
massive jets, while the less stringent requirement of at least
two massive jets with deep-W > 0.6 is imposed for events
with three jets.
are
j
T
T
T
In order to select Lorentz-boosted final states, we addi-
tionally require that ST, the scalar sum of the transverse
momenta of the selected jets and the pmiss
, is greater than
1.3 TeV. The pmiss
in the ST sum enhances signal separation
for the cases where a hadronic τ lepton decay is present, or
where the decay products from a merged radion decay
include a nonisolated lepton, since in these cases the pmiss
arises from the undetected neutrino(s). To suppress t¯t
background, events are vetoed that contain a b-tagged
AK4 jet not overlapping with any AK8 jet (ΔR > 0.8). The
DeepCSV discriminant at the medium working point [43] is
used for this veto. As the signal region explored corre-
≥ 1.5 TeV, we also impose the condition
sponds to mWKK
Þ > 1.1 TeV to probe only the high-mass region,
mjj
although this condition has minimal impact on top of the ST
and HT constraints. While the selection requirements do
not explicitly target the case where the lowest pT W boson
is resolved into two single-quark jets, some of these events
are accepted if only one of the two single-quark jets
has pT > 200 GeV.
ðmjjj
The SR selection criteria, which are applied on top of
preselection, can be summarized as
(i) Number of additional b-tagged jets (nonoverlapping
with the AK8 jets) Nb ¼ 0 (medium WP)
the
and the pT of
(ii) Sum of pmiss
T
selected
jets: ST > 1.3 TeV
(iii) Dijet (trijet) invariant mass mjj
ðmjjj
Þ > 1.1 TeV for
¼ 2 (3)
Nj
(iv) For Nj
¼ 2: mmax
j < 100 GeV,
j > 70 GeV, 70 < mmin
with deep-WðWHÞ > 0.8 for 70 < mj < 100 GeV
(mj > 100 GeV)
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PHYS. REV. D 106, 012002 (2022)
FIG. 3. Schematic of the 2D jet mass regions for two-jet events (left) and 3D jet mass regions for three-jet events (right), indicating the
location of the six independent signal regions SR1–6, indicated by the colored areas. The SR4 and SR5 differ by the requirement of
exactly three and two W-tagged jets, respectively. The jet tagging discriminants used in the event selection are also shown for each of the
mass-ordered jets. The values in parentheses indicate that, depending on the SR, different selection requirements are employed.
¼ 3: 70 < ðmmax
Þ < 100 GeV and
j < 100 GeV, with deep-W > 0.6 (0.8) for three
; mmid
j
(v) For Nj
mmin
(two) massive jets.
j
C. Signal region definition
j
Six different SRs are defined in the following and are
summarized in Table I. In addition, Fig. 3 illustrates these
SRs in two-dimensional (2D) and 3D diagrams of the
jet mass.
¼ 2 are split into three samples
The SR events with Nj
based on the value of mmax
: SR1, SR2, and SR3 correspond
values of 70–100, 100–200, and > 200 GeV,
to mmax
j
respectively. This categorization serves as a binning over
the unknown radion mass. As Fig. 2 (middle row) illus-
trates, the merged radion jet mass has a broad distribution
populating the mmax
range of 70 GeV to mR. Signal events
j
j > 100 GeV) generally
in SR2 and SR3 (i.e., with mmax
contain a merged radion jet (Rlqq, R3q, R4q), and the
deep-WH discriminant separates these jets from the SM
background.
Events in SR1 have both jets in the 70–100 GeV mass
window. The merged radion jet lies in SR1 either for cases
where the higher-mass jet is in the Rlqq category and the
neutrino acquires most of the parent W boson momentum,
or when the higher-mass jet is a W boson jet (when the
decay products of R → WW receive imbalanced Lorentz
boosts and the softer W boson is not merged). Resolved-
radion events, i.e., events where the radion is reconstructed
as two W boson jets, can lie in SR1 if the softest
hadronically decaying W boson (typically the one produced
promptly from the WKK decay) is not reconstructed as a
single jet and therefore not selected as a candidate jet. In
addition, SR1 is sensitive to any diboson resonant signal
that might be present. Any jet of SR1–3 with a mass in the
range 70–100 GeV is required to satisfy the deep-W > 0.8
requirement to be tagged as a W (or Rlqq) boson candidate.
¼ 3 are split into three samples
SR4–6 as follows. In the case of mmin
j > 60 GeV, we
three jets to be W-tagged satisfying the
demand all
condition deep-W > 0.6, which defines the SR4 region;
events with exactly two W-tagged jets are placed in SR5.
j < 60 GeV and the other two massive jets
Events with mmin
satisfying 70 < ðmmid
Þ < 100 GeV and deep-W >
0.8 constitute SR6. These three regions are sensitive only to
the resolved-radion signal, with SR4 being the most
sensitive among them, as it demands three W-tagged jets.
The SR events with Nj
; mmax
j
j
TABLE I. Summary of the selection requirements for each of the signal regions.
Region
SR1
SR2
SR3
SR4
SR5
SR6
Nj
2
2
2
3
3
3
mmax
j
(GeV)
70–100
100–200
> 200
70–100
70–100
70–100
mmid
j
(GeV)
(cid:2) (cid:2) (cid:2)
(cid:2) (cid:2) (cid:2)
(cid:2) (cid:2) (cid:2)
70–100
70–100
70–100
(GeV)
mmin
j
70–100
70–100
70–100
60–100
60–100
0–60
Jet tagging conditions
Both with deep-W > 0.8
Higher with deep-WH > 0.8, lower with deep-W > 0.8
Higher with deep-WH > 0.8, lower with deep-W > 0.8
All three with deep-W > 0.6
Exactly two with deep-W > 0.6
Two highest with deep-W > 0.8
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A. TUMASYAN et al.
PHYS. REV. D 106, 012002 (2022)
The six different regions provide complementary sensi-
tivity to different regions of the mWKK-mR plane. Signal
scenarios with radion masses producing jets in the mass
range 100–200 GeV are predominantly probed in SR2; for
mR in the range 200–300 GeV, the signal events predomi-
nantly lie in SR2 and SR3; while for mR > 300 GeV (if the
the
radion remains merged), SR3 provides most of
sensitivity.
VII. CALIBRATION OF THE DEEPAK8 TAGGER
The deep-Wðdeep-WHÞ discriminants are not
fully
reproduced in simulation, especially at low and high scores.
In this section we describes the calibration procedure
followed to correct the deep-Wðdeep-WHÞ spectra for each
type of jet in two bins of pj
T and mj. All types of jets
involved in this procedure are illustrated in Table II. The
correction is quantified using scale factors (SFs), which are
applied to all simulated events (signal and background).
Events in the preselected sample are dominated by QCD
multijet background (99%). In SR1–6, QCD multijet events
make up 50%–75% of the expected background. The rest of
the events are from t¯t and single t quark processes (10%–
25%), W þ jets processes (10%–20%), and other processes
(e.g., WW, WZ, ttW=Z, or tribosons, making up less than
15%). Therefore, massive jets (mj > 60 GeV) selected in
jet
the SRs are predominantly a mixture of different
categories that we define as follows:
(i) hadronically decaying W bosons producing merged
W boson jets
(ii) light quarks or gluons (q=g), with radiation or
fragmentation, which are reconstructed as massive
q=g jets
(iii) three types of jets from hadronically decaying t
quarks, t → bW → bqq:
jets including the b quark and only one of the quarks
from the W boson decay, designated “t2”
jets including the b quark and both of the quarks from
the W boson decay, designated “t3”
same as “t3,” but requiring an additional energetic quark
or gluon inside the jet cone to define a four-prong
category, designated “t4”
For the t4 category, the additional q=g inside the jet cone
needs to have pT > 50 GeV. By considering t3 and t4 jets
separately, they can be compared directly to signal jets of
similar jet substructure (as discussed in Sec. VII C) and
systematic uncertainties can be derived as discussed in
Sec. IX C. For the calibration in data, these categories are
difficult
to distinguish experimentally and their tagger
response is similar. Thus, t3 and t4 jets are treated together
and designated t3;4 in the following. In simulation, jets are
placed into these categories, as well as signal categories, by
matching the reconstructed jets to the generator-level
partons in ΔR. The matching criteria are summarized in
Table II. The proportion of jets not matched to any of these
categories, is less than 6 (5)% of the SR (preselection)
events, and they have a negligible impact on the analysis.
The calibration of the W, t2, and t3;4 jets requires samples
enriched in those jets. Therefore, dedicated calibration
samples are defined, and the calibration for these jets is
summarized in Sec. VII A. The q=g jets are calibrated using
preselection jets, and this procedure is described in
Sec. VII B. The calibration of signal jets is presented in
Sec. VII C.
A. Calibration of W boson and top
quark jets with a matrix method
For the calibration of the taggers, a control sample
similar to the preselected one, but enriched in W boson
and top quark jets, is used. We refer to this sample as the
TABLE II. Matching criteria used to place a jet in one of the SM jet categories (left four columns) or merged radion jet categories (right
two columns). Each column lists the ΔR conditions demanded between the reconstructed jet (j) and the generator-level parton in order to
match a jet with a particular jet substructure. Lower indexes enumerate partons and indicate the particle from whose decay they originate
(e.g., t → btq1Wq2W). Schematic diagrams for each jet type are shown below each column.
q=g
ðq=g; jÞ < 0.6
(cid:2) (cid:2) (cid:2)
(cid:2) (cid:2) (cid:2)
(cid:2) (cid:2) (cid:2)
(cid:2) (cid:2) (cid:2)
W
ðW; jÞ < 0.6
ðq1W; jÞ < 0.8
ðq2W; jÞ < 0.8
ðbt; jÞ > 0.8
(cid:2) (cid:2) (cid:2)
t2
ðt; jÞ < 0.6
ðbt; jÞ < 0.8
ðq1W; jÞ < 0.8
ðq2W; jÞ > 0.8
(cid:2) (cid:2) (cid:2)
t3;4
ðt; jÞ < 0.6
ðbt; jÞ < 0.8
ðq1W; jÞ < 0.8
ðq2W; jÞ < 0.8
For t4 (t3):
ðq=g; jÞ < ð>Þ0.8
R3;4q
ðR; jÞ < 0.6
ðq1; jÞ < 0.8
ðq2; jÞ < 0.8
ðq3; jÞ < 0.8
For R4q (R3q) :
ðq4; jÞ < ð>Þ0.8
Rlqq
ðR; jÞ < 0.6
ðq1; jÞ < 0.8
ðq2; jÞ < 0.8
ðl; jÞ < 0.8
(cid:2) (cid:2) (cid:2)
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PHYS. REV. D 106, 012002 (2022)
“sideband.” The sideband is defined by requiring one
isolated lepton (μ or e), pmiss
T > 40ð80Þ GeV for μ (e),
and one or two massive jets. The neutrino pz is recon-
structed under the assumptions that the invariant mass of
the lν system is equal to the W boson mass mW ¼ 80 GeV
(as described in Ref. [52]) and the transverse momentum of
lν > 200 GeV. This
the lν system is required to satisfy pT
means that for the sideband one of the massive jets used for
the preselection is effectively replaced by a leptonically
decaying W boson candidate.
The highest mass jets in these sideband events with mj >
60 GeV are used for
the calibration. These jets are
categorized by the matching to the W, t2, t3;4, and q=g
categories described previously. We split the events into
two mj bins, one with 60 < mj < 120 GeV (low mass) and
the other one with mj > 120 GeV (high mass). In addi-
tion, we split the sideband events further into two bins,
based on the jet pj
T. For low-mass jets, the bins used are
200–400 and > 400 GeV, while for high-mass jets the
bins used are 200–500 and > 500 GeV. The resulting four
samples are designated LL, LH, HL, and HH, where the
first letter indicates low or high mj and the second letter
low or high pj
T. The two SM processes (W þ jets and top
quark production) are normalized in each of these four
categories by scaling them to match the data separately for
events with zero or one b-tagged jet(s). This corrects the
simulation for an Oð10%Þ mismodeling of the cross
section, and the residual data-to-simulation differences
in the deep-Wðdeep-WHÞ distribution can be attributed to
the mismodeling of the discriminant.
The LL and LH samples contain primarily events of the
W, t2, and q=g jet categories; the HL and HH samples
primarily events of the t2, t3;4, and q=g jet categories. Any
other jet contribution or unmatched jets (collectively < 5%)
can be ignored. For each of these jet types, we apply a set of
kinematic conditions to split
into three
subsamples so that each sample is highly pure in a single
jet type. The splitting conditions include kinematic varia-
bles such as N-subjettiness [53], Nj, Nb, and mj, as well as
DEEPAK8 discriminants other than the calibrated one.
them further
The deep-Wðdeep-WHÞ distributions are formed for
each of the three pure subsamples for LL. One equation
is written for each pure subsample by equating the data
yields Di;k for a jet type i in a deep-Wðdeep-WHÞ bin k
with the simulated jet yields for W, t2, and q=g (which we
write as W, t, and g here), scaled by the scale factors SFW
k ,
kgi;k þ di;k.
SFt
The di;k term accounts for the other types of jet yields; their
contribution is small (amounting to < 5% for most of the
bins), and these jet types are treated as not contributing to
the mismodeling. A similar equation can be written for each
of the three (i ¼ 1, 2, 3) subsamples W, t, and g to form a
system of three equations:
k: Di;k ¼ SFW
k Wi;k þ SFt
k, and SFg
kti;k þ SFg
0
B
@
D1;k − d1;k
D2;k − d2;k
D3;k − d3;k
1
0
C
A ¼
B
@
W1;k
W2;k
W3;k
t1;k
t2;k
t3;k
g1;k
g2;k
g3;k
1
0
C
A
B
@
1
C
A;
SFW
k
SFt
k
SFg
k
ð3Þ
k
type,
k , SFt
k, SFg
k ; SFt2
in which the jet yields and the data are known, while the
three SFs (SFW
k) are unknown. We solve this
3 × 3 system per deep-Wðdeep-WHÞ bin k to derive the
SFs for each type of jet. The scale factors obtained with this
k and SFt3;4
matrix method SFW
are shown in Fig. 4 for
LL, LH, HL, and HH. As the three subsamples are highly
enriched in exactly one jet
the matrix is nearly
diagonal, and the derivation of the SFs is dominated by
the data vs simulation modeling in the corresponding pure
subsamples. For example, the data/simulated yields in the
W-pure subsample dominate the determination of SFW
k . The
method yields reliable SFs in the regime where subsamples
are highly pure. Both deep-W and deep-WH are calibrated
with this procedure for each of the LL, LH, HL, and HH
bins separately. While the SFs are quite large and vary from
about 0.5 to 3, the integral over the tagger score yields an
effective SF close to 1; for example, W-boson jets with
deep-W > 0.6 ð0.8Þ have effective SFs of 0.89 (0.78) and
0.80 (0.74) for the LL and LH samples, respectively.
All simulated events, based on the types of the selected
jets they contain and their pj
T and mj, are corrected by the
SFs for the respective deep-W (deep-WH) bins. The
discriminant distributions before and after corrections are
shown in Fig. 5. Various validation tests show good
agreement between data and simulation. As the extracted
SFs are found to depend on the choice of splitting
conditions defining the pure subsamples, systematic uncer-
tainties resulting from the selection criteria are assigned, as
described in Sec. IX.
B. Calibration of quark and gluon jets
The quark and gluon jets are treated collectively as a
single type of jet, q=g. Their calibration is performed using
the preselected sample where SR events and events with b-
tagged AK4 jets are vetoed. This sample consists of more
than 13 million events, of which more than 97% are QCD
multijet events. Similarly to the single-lepton sideband
sample, we consider only the highest mass jet with mj >
60 GeV in each event, and define the same four LL, LH,
HL, and HH bins in mj and pj
T. The QCD events in each bin
are normalized to the data. The contribution from W, t2, and
t3;4 jets, amounting to less than 2%, is estimated using
simulation and subtracted from the data. The result is
divided by the q=g yields to define SFq=g
in each
deep-Wðdeep-WHÞ discriminant value bin k. The resulting
values of SFq=g are presented together with SFW, SFt2
, and
SFt3;4
in Fig. 4. The relative fraction of quarks and gluons is
the same for the preselection region where the SFs are
k
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138 fb
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CMS
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S
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deep-W
1
CMS
3
138 fb
(13 TeV)
1−
CMS
3
138 fb
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tSF
+Stat. unc.
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tSF
+Stat. unc.
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+Stat. unc.
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+Stat. unc.
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+Stat. unc.
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+Stat. unc.
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S
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> 120 GeV
jm
200 <
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< 500 GeV
j
T
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S
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0
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j
p
> 120 GeV
> 500 GeV
T
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
deep-WH
1
FIG. 4. Measured scale factors (SFs) for the deep-W and deep-WH discriminants. Upper row: SFs for W (dark blue), t2 (light blue),
and q=g (yellow) matched jets in the low-mj bins, LL (left) and LH (right), as functions of the deep-W discriminant value. Lower row:
SFs for t2 (light blue), t3;4 (green), and q=g (yellow) matched jets in the high-mj bins, HL (left) and HH (right), as functions of the
deep-WH discriminant value. For each discriminant value bin, the sum of the SF-corrected jet yields is required to be equal to the
observed data. The statistical and parton shower (PS) uncertainties are shown by the shaded bands.
defined, and the SRs and control regions (CRs). The only
difference between the jets is therefore their pT spectra.
Validation tests have shown a good post-correction per-
formance, where the ratio of data to simulation is consistent
with unity over the entire deep-Wðdeep-WHÞ range. To
perform these tests, we define CRs by using the SR1–6
least one of the deep-Wðdeep-WHÞ
selections with at
conditions inverted. For SR4 and SR5, this inversion leads
to the same sample with zero or one W-tagged jet. The five
resulting CRs, associated with the SRs, are named CR1,
CR2, CR3, CR45, and CR6. Figure 6 shows
the
deep-Wðdeep-WHÞ distributions for the highest mass jet
in each CR after the SFs are applied. A similar, almost flat
performance is exhibited by the middle and minimum mass
jets. Validation tests in samples using other CR definitions
lead to similar post-correction performance.
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60 <
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Uncorrected
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SF uncertainty
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< 500 GeV
138 fb
(13 TeV)
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q/g
Rest
Uncorrected
SF-corrected
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jm
< 120 GeV
> 400 GeV
Data
Total uncorrected
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3,4t
2t
W
q/g
Rest
Uncorrected
SF-corrected
SF uncertainty
0.1
0.2
0.3
0.4
0.6
0.5
deep-W
0.7
0.8
0.9
1
CMS
138 fb
(13 TeV)
1−
> 120 GeV
> 500 GeV
jm
jp
T
Data
Total uncorrected
Total SF-corrected
3,4t
2t
W
q/g
Rest
Uncorrected
SF-corrected
SF uncertainty
0.1
0.2
0.3
0.4
0.5
0.6
deep-WH
0.7
0.8
0.9
1
FIG. 5. DEEPAK8 discriminants of the jet with highest mass in the single-lepton sideband. The deep-W spectra in the LL (upper left)
and LH (upper right) samples are presented together with the deep-WH spectra in the HL (lower left) and HH (lower right) samples. The
W boson jets are shown in dark blue, t2 in light blue, t3;4 in green, q=g in yellow, and the “Rest” jet types (jets not matching any of the
categories) in gray. Before corrections (red), discrepancies between the prediction and the data can be observed, in particular at low and
high discriminant values. The corrected distributions after application of the scale factors (SFs) are shown in dark green. The lower
panels show the data-to-simulation ratios before and after corrections. The SF uncertainties are indicated by the shaded bands.
C. Calibration of signal jets with SM proxy jets
The deep-Wðdeep-WHÞ discriminant distributions for
simulated signal events are also corrected using SFs. For
¼ 3, SR4–6), the W-
resolved-radion signal events (Nj
boson-matched jets are scaled by SFW according to the pj
T,
mj, and deep-W values for each jet.
Merged radion signal events (Nj
¼ 2, SR1–3) contain
jets of the form W, Rlqq, R3q, and R4q. Figure 7 (left) shows
the relative contributions of each of these categories to the
total as a function of mmax
. There are very few SM jets with
the same substructure and flavor compositions as Rlqq, R3q,
and R4q jets that can be directly used for calibration
j
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Multijet
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tt
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Other (VV, Z+jets)
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, single t
Other (VV, Z+jets)
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CR3 multijet scaled by 0.70
Data
Multijet
W+jets
tt
, single t
Other (VV, Z+jets)
0.1 0.2
0.3
0.4
0.5
0.7
0.8
0.9
1
deep-WH
0.6
max
FIG. 6. Comparison between data (black markers) and simulated background events (histograms) of the deep-Wðdeep-WHÞ
distributions for the highest mass jet after SF application. The control regions CR1, CR2, CR3 are shown in the left column, upper to
lower rows, while CR45 and CR6 are presented in the right column, upper and middle rows, respectively. The lower panels show the
data-to-simulation ratio.
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138 fb
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1−
= 2.5 TeV,
Rm
= 0.2 TeV
Total
4q
R
3q
R
lqq
R
W
Rest
CMS Simulation
SR1+SR2+SR3
Wm
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50
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1−
CMS Simulation
SR1+SR2+SR3
Wm
= 2.5 TeV,
Rm
= 0.2 TeV
.
u
.
a
.
u
.
a
4q
R
3q
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lqq
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3,4t
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1−
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SR1+SR2+SR3
Wm
= 2.5 TeV,
Rm
= 0.2 TeV
4q
R
3q
R
lqq
R
W
3,4t
0
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
deep-WH
1
j
the mmax
distributions
FIG. 7. Shape comparison for different jet types in simulation.
for SR1–3 events without
Upper:
deep-Wðdeep-WHÞ constraints. Middle and lower: the deep-W
and deep-WH distributions normalized to unity for the shown
components, respectively. The t3;4 jets from the preselected
sample, normalized to unity, are superimposed to compare shapes
with the R3q and R4q distributions.
(considering that boosted Higgs bosons are not abundant).
Instead, we calibrate these using SM jets that have similar
prong substructure and deep-Wðdeep-WHÞ
response,
which we call “proxy jets.”
The W boson jets exhibit highly similar deep-W and
deep-WH distributions to Rlqq jets. Thus, we use W boson
jets as proxy jets for the Rlqq calibration. The similarity of
the two spectra can be seen in Fig. 7 for both the deep-W
(used in SR1) and deep-WH (used in SR2–3) discrimi-
nants. This similarity results from the discriminant design,
as the raw scores in both the numerator and denominator
have not been derived for events with leptons inside jets,
and so the deep-W and WH discriminants are largely blind
to the presence of a lepton.
The closest abundant SM jets with substructure similar to
R3q and R4q are fully merged top quark jets t3;4. As Fig. 7
(lower) shows, the deep-WH distributions of those three jet
types are similar and thus the t3;4 jets are used as proxy jets
to calibrate signal R3q and R4q jets. Accordingly,
the
corresponding SFt3;4
values derived in Sec. VII A are used
to calibrate R3q and R4q jets. We find that the individual t3
and t4 components have an even better shape agreement
with their corresponding signal jets R3q and R4q, respec-
tively. This consistency suggests
that despite their
differences (in quark flavor, kinematics, and color recom-
bination), the t3;4 and R3q;4q jets have a largely similar
response to the deep-WH discriminant. Systematic uncer-
tainties are assigned to account for differences in this
response and also to account for residual shape differences
as discussed in Sec. IX.
VIII. BACKGROUND ESTIMATION
The dominant background in all SRs consists of QCD
multijet events, making up 60%–80% of the total. As the
DEEPAK8 tagger rejects the majority of these events, only a
few of them remain in the SRs according to simulation.
Thus, we estimate this background contribution directly
from the data using CRs. The five CRs are defined by
inverting at least one tagger condition, as described in
Sec. VII B. The selected jets in these regions possess
similar kinematic properties to the ones in the correspond-
ing SRs. The mjj (mjjj) distributions in CRs 1–3 (4–6) are
shown in Fig. 8, where the SF-corrected simulation is
normalized to the data. After subtracting the other back-
ground processes estimated from simulated samples from
the data, the resulting mjj (mjjj) distributions are used to
predict the shape of the QCD multijet background in the
corresponding SRs. This shape compatibility has been
validated in simulation in multiple selections, and the
mjj (mjjj) distributions agree within the statistical uncer-
tainties over the entire spectra. The a priori normalization
in the SRs is taken from the SF-corrected simulation. All
other smaller background contributions such as W þ jets,
012002-13
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, single t
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1.5
2
2.5
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jj (TeV)
m
3.5
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138 fb
(13 TeV)
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Multijet
W+jets
tt
, single t
Other (VV, Z+jets)
1.5
2
2.5
3
(TeV)
jjm
3.5
4
FIG. 8.
Invariant mass distributions of the reconstructed triboson systems for control regions in data (black markers) and simulated
events (histograms). The mjj distributions for CR1, CR2, CR3 are presented in the left column, upper to lower rows, respectively; the mjjj
distributions for control regions CR45 and CR6 are presented in the right column, upper and middle rows, respectively. The simulation is
corrected by SFs, and the QCD multijet background is scaled to the data yields.
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PHYS. REV. D 106, 012002 (2022)
t¯t, single t quark, diboson, t¯tV, and triboson production are
taken from simulation.
IX. SYSTEMATIC UNCERTAINTIES
Systematic uncertainties are taken into account in the
background estimation and the signal prediction. For each
source of uncertainty, a nuisance parameter is assigned,
which is constrained by the data in the six SRs. These are
summarized in Table III.
A. Systematic uncertainties in the
scale factor estimation
Systematic uncertainties in the signal and background
rate and shape arise from the DEEPAK8 SF derivation. Two
uncertainty sources common to signal and background jets
are considered, and an additional two only for signal, which
are described in Sec. IX C. The common uncertainties are
from parton shower variations, and the SF dependence on
the jet subsample selection, referred to as the “selection
bias” uncertainty in Table III.
The SFs are derived using three different t¯t simulation
samples: the nominal sample is generated using POWHEG
with PYTHIA8, a second one using POWHEG with HERWIG7
[54], and a third one using MadGraph5_aMC@NLO with
PYTHIA8. The maximum difference of the three resulting
SFs is symmetrized and assigned as the parton shower
uncertainty for the W, t2, and t3;4 SFs. For the q=g SFs, the
parameters controlling the parton shower behavior in the
QCD multijet PYTHIA sample are varied to derive an
uncertainty. The resulting uncertainty bands are shown
in Fig. 4, combined with the significantly smaller statistical
uncertainty.
The bias in the SF calculation due to the selection
conditions defining the jet subsample is estimated by
performing closure tests in several validation regions such
as jet mass sidebands. The maximum nonclosure observed
amounts to 10% for W, t3;4, and q=g jets. Because of the
limited numbers of events in the validation regions for t2
jets and for jets not matching any of these categories, a
100% uncertainty is assigned to those. Uncertainties in the
parton shower modeling and those arising from the selec-
tion bias are added in quadrature, and are assigned a single
nuisance parameter for each matched jet in each LL, LH,
HL, or HH bin. The per-jet variation is treated as fully
correlated. Effects on both rate and shape of the mjj (mjjj)
distributions are considered. The overall rate uncertainties
due to this variation amount to about 35% for SRs 1–3 and
SR6, 52% for SR4, and 45% for SR5. These values are
TABLE III. Sources of systematic uncertainties accounted for in the analysis. The first three sets of uncertainty sources originate from
the tagger calibration. It is also indicated whether the uncertainties are evaluated for background (B) and/or signal (S), whether the
uncertainty affects shape and/or rate, and the total number of nuisance parameters used per source.
Sources
Parton shower þ selection bias
Parton shower þ selection bias
for W, Rlqq
for t2
Parton shower þ selection bias
for t3;4, R3q;4q
Parton shower þ selection bias
for q=g
Proxy uncertainty for Rlqq
Proxy uncertainty for R3q;4q
Proxy uncertainty for unmatched
High-pT extrapolation for W
High-pT extrapolation for Rlqq
High-pT extrapolation for R3q
High-pT extrapolation for R4q
QCD multijet normalization
t¯t normalization
Other background normalization
mjj, mjjj tail shape
t¯t shape
Pileup and integrated luminosity
PDFs, renormalization and factorization
scales
Jet energy scale and resolution
Jet mass scale
B or S
B þ S
Effect on
Shape þ rate
Magnitude
(cid:2) (cid:2) (cid:2)
Nuisance parameters
4 for deep-Wðdeep-WHÞ × LL, LH
(cid:2) (cid:2) (cid:2)
(cid:2) (cid:2) (cid:2)
(cid:2) (cid:2) (cid:2)
10%–35%
12%–43%
100%
100%
23%–30%
16%–34%
24%–33%
5%–40%
15%–30%
30%
(cid:2) (cid:2) (cid:2)
(cid:2) (cid:2) (cid:2)
1.7%
1.4%
(cid:2) (cid:2) (cid:2)
(cid:2) (cid:2) (cid:2)
B
Shape þ rate
B þ S
Shape þ rate
B
S
S
S
S
S
S
S
B
B
B
B
B
S
S
S
S
Shape þ rate
Rate
Rate
Rate
Rate
Rate
Rate
Rate
Rate
Rate
Rate
Shape
Shape
Rate
Rate
Shape
Shape
012002-15
2ðþ4Þ for deep-Wðdeep-WHÞ LL,
LH (LL, …, HH)
4 for deep-Wðdeep-WHÞ × HL, HH
2ðþ4Þ for deep-Wðdeep-WHÞ LL,
LH (LL, …, HH)
2, for deep-Wðdeep-WHÞ
2, for deep-Wðdeep-WHÞ
2, for deep-Wðdeep-WHÞ
2, for deep-Wðdeep-WHÞ
2, for deep-Wðdeep-WHÞ
2, for deep-Wðdeep-WHÞ
2, for deep-Wðdeep-WHÞ
5, common for SR4,5
5, common for SR4,5
5, common for SR4,5
6, one for each SR
6, one for each SR
1, common for all SRs
1, common for all SRs
2, common for all SRs
1, common for all SRs
A. TUMASYAN et al.
PHYS. REV. D 106, 012002 (2022)
driven by the SF uncertainty on q=g jets, which constitute
75%–90% of the highest mass jets in the SRs.
B. Systematic uncertainties in the
background estimation
For the shape of the dominant QCD multijet background,
we account for an additional uncertainty in the tail shape of
the mjj (mjjj) distributions. This uncertainty is derived in the
CRs by comparing the QCD multijet prediction in simu-
lation to the data. A linear fit is performed to the ratio of the
data and the simulation. The resulting (cid:3)2 standard
deviation bands are used as shape variations of the mjj
(mjjj) distributions in the SRs. A single nuisance parameter
with a Gaussian prior is used for each SR. This shape
uncertainty allows the tails of the distributions to be
adjusted by the data, accounting for effects that could lead
to differences between CRs and SRs, e.g., a potential
residual mass correlation of the taggers.
The uncertainty in the normalization of the QCD multijet
background is taken as the normalization difference
between data and SF-corrected simulation in the corre-
sponding CRs. These differences range from 9% to 40% for
SRs 1–3 and SR6, and 5% for SR4–5. For the top quark
production rate, uncertainties in the normalization to
NNLO and NLO predictions and missing higher orders
are accounted for and are in the range 15%–30%. In
addition, uncertainties in the t¯t shape are derived by varying
the top quark pT spectrum based on the measurements in
Refs. [55,56]. For the other background processes, which
are treated collectively, a 30% normalization rate uncer-
tainty is assigned for all SRs. Because of their similarity,
the same normalization nuisance parameters are used for
SRs 4 and 5. All rate uncertainties are estimated using a
log-normal prior.
C. Signal systematic uncertainties
The integrated luminosities of the 2016, 2017, and 2018
data-taking periods are individually known with uncertain-
ties in the 1.2%–2.5% range [17–19], while the total 2016–
2018 integrated luminosity has an uncertainty of 1.6%. The
simulated PU distribution is scaled to match data using an
effective total
inelastic cross section of 69.2 mb. The
uncertainty in this procedure is evaluated by varying the
total inelastic cross section by (cid:3)4.6% [57]. This results in a
0.5% uncertainty in the signal normalization in the SRs,
which is combined with the integrated luminosity uncer-
tainty for a total uncertainty of 1.7%, implemented with a
log-normal prior.
Renormalization μ
R and factorization μ
F scales and PDF
uncertainties affecting the signal selection efficiency are
evaluated per SR and mass point. The scale uncertainties
are obtained by varying μ
R and μ
F independently by factors
of 1=2 and 2 (without considering the extreme cases of the
opposite-direction variations). The maximum value of these
variations is taken as the prefit uncertainty. For
the
overall scale uncertainty, a single nuisance parameter is
used. Its typical magnitude is up to 1.4% for signal with
mWKK
≤ 4 TeV.
The jet energy scale is varied by its uncertainty and the
impact on the mjj (mjjj) distributions is taken to be the
associated shape uncertainty. Similarly, for the uncertain-
ties in the jet energy and jet mass resolution, shape
uncertainties are considered by varying the jets selected
three uncertainty
by the respective uncertainties. All
sources are implemented as nuisance parameters using
Gaussian priors.
All of the above signal uncertainties only have a small
impact on the final result. The largest signal uncertainty
originates from the DEEPAK8 tagger SF correction procedure.
Four different uncertainty sources are considered for the
SFs applied to the signal jets. The first two uncertainty
sources are the parton shower and selection bias, and have
only a small impact. They are evaluated together with those
of the background processes (described in Sec. IX A), using
common nuisance parameters for signal and background
jets. Signal jets categorized as W, Rlqq (R3q, R4q) are
assigned the same nuisance parameters as their correspond-
ing proxy jets W (t3;4) and are constrained using the data in
the SRs. The other two sources of SF uncertainty, described
below, are due to the differences between signal and proxy
jets (proxy uncertainty), and due to the significantly higher
pT that signal jets have compared to the SM jets (high-pT
extrapolation uncertainty). Varying the SFs within these
uncertainties has a major effect on the signal rates.
Although the signal jets share similar substructures with
the corresponding SM proxies and also have similar
deep-Wðdeep-WHÞ distributions, they are, with the excep-
tion of W boson jets, not the same objects. For example, the
flavor of the most energetic quarks might differ, the color
flow structure might not be the same, and overall
jet
substructure kinematic properties could be different. To
account for all these differences, the shape difference of
proxy and signal jets in six deep-Wðdeep-WHÞ bins above
the 0.7 discriminant selection value (0.7–1.0 in 0.05 bins) is
evaluated in simulation. For each of these six bins, the
relative difference between the proxy and the signal jets is
jets categorized as
taken as an uncertainty. For signal
R3q;4q, for which the corresponding proxy jet category is
t3;4, an additional uncertainty due to the difference
observed between t3 and t4 is assigned. It amounts to
5% and 10% for the deep-WH and deep-W discriminants,
respectively. The total resulting proxy uncertainties for
Rlqq, R3q, and R4q signal jets lie in the ranges 10%–35%,
13%–34%, and 12%–43%, respectively. This source of
uncertainty has the largest effect on the rate for the merged
signal. Signal jets not matching any of these categories are
assigned a 100% proxy uncertainty. The proxy uncertainty
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PHYS. REV. D 106, 012002 (2022)
138 fb
1(cid:2)
(13 TeV)
138 fb
1(cid:2)
(13 TeV)
CMS
SR1
Data
Multijet
tt
, single t
Other (VV, V+jets)
Systematic uncertainty
Wm
= 2.5 TeV,
Wm
= 2.5 TeV,
Rm
Rm
= 0.2 TeV
= 1.25 TeV
(Data-Prediction)/
(cid:3)
STAT
1.5
2
3
2.5
(TeV)
jj
m
(cid:3)(cid:4)
(cid:3)/SYS
3.5
STAT
CMS
SR2
138 fb
1(cid:2)
(13 TeV)
Data
Multijet
tt
, single t
Other (VV, V+jets)
Systematic uncertainty
Wm
= 2.5 TeV,
Wm
= 2.5 TeV,
Rm
Rm
= 0.2 TeV
= 1.25 TeV
(Data-Prediction)/
(cid:3)
STAT
1.5
2
2.5
jjm
(TeV)
3
(cid:3)(cid:4)
(cid:3)/SYS
3.5
STAT
4
CMS
SR3
138 fb
1(cid:2)
(13 TeV)
Data
Multijet
tt
, single t
Other (VV, V+jets)
Systematic uncertainty
Wm
= 2.5 TeV,
Wm
= 2.5 TeV,
Rm
Rm
= 0.2 TeV
= 1.25 TeV
(Data-Prediction)/
(cid:3)
STAT
160
140
120
100
V
e
T
1
.
0
/
s
t
n
e
v
E
l
l
u
P
80
60
40
20
0
4
2
0
2(cid:2)
4(cid:2)
1000
V
e
T
1
.
0
/
s
t
n
e
v
E
800
600
400
200
0
4
2
0
2(cid:2)
4(cid:2)
l
l
u
P
400
350
300
250
200
150
100
V
e
T
1
.
0
/
s
t
n
e
v
E
50
0
4
2
0
2(cid:2)
4(cid:2)
l
l
u
P
4
1.5
2
2.5
m
3
(TeV)
jjj
(cid:3)(cid:4)
(cid:3)/SYS
3.5
STAT
4
CMS
SR4
Data
Multijet
tt
, single t
Other (VV, V+jets)
Systematic uncertainty
Wm
= 2.5 TeV,
Wm
= 2.5 TeV,
Rm
Rm
= 0.2 TeV
= 1.25 TeV
(Data-Prediction)/
(cid:3)
STAT
CMS
SR5
138 fb
1(cid:2)
(13 TeV)
Data
Multijet
tt
, single t
Other (VV, V+jets)
Systematic uncertainty
Wm
= 2.5 TeV,
Wm
= 2.5 TeV,
Rm
Rm
= 0.2 TeV
= 1.25 TeV
(Data-Prediction)/
(cid:3)
STAT
1.5
2
2.5
jjjm
3
(TeV)
(cid:3)(cid:4)
(cid:3)/SYS
3.5
STAT
4
CMS
SR6
138 fb
1(cid:2)
(13 TeV)
Data
Multijet
tt
, single t
Other (VV, V+jets)
Systematic uncertainty
Wm
= 2.5 TeV,
Wm
= 2.5 TeV,
Rm
Rm
= 0.2 TeV
= 1.25 TeV
(Data-Prediction)/
(cid:3)
STAT
V
e
T
1
.
0
/
s
t
n
e
v
E
l
l
u
P
35
30
25
20
15
10
5
0
4
2
0
2(cid:2)
4(cid:2)
350
300
250
200
150
100
V
e
T
1
.
0
/
s
t
n
e
v
E
50
0
4
2
0
2(cid:2)
4(cid:2)
70
60
50
40
30
20
10
0
4
2
0
2(cid:2)
4(cid:2)
l
l
u
P
V
e
T
1
.
0
/
s
t
n
e
v
E
l
l
u
P
1.5
2
2.5
jjm
(TeV)
3
(cid:3)(cid:4)
(cid:3)/SYS
3.5
STAT
4
1.5
2
2.5
jjjm
3
(TeV)
(cid:3)(cid:4)
(cid:3)/SYS
3.5
STAT
4
FIG. 9. Post-fit distributions of the invariant mass of the reconstructed triboson system (mjj, mjjj) in data (black markers) and
simulation (histograms) for all SRs (SRs 1–3 in the left column and SRs 4–6 in the right column). Systematic uncertainties are indicated
by the shaded bands. Signal examples are superimposed, normalized to the theoretical prediction for the production cross section of
¼ 2.5 TeV with mR ¼ 0.2 TeV (solid light blue line) and 1.25 TeV (dashed purple line). The bottom panels show the pull
mWKK
distributions, indicating the difference between the data and background prediction, divided by the statistical uncertainty in the
background, with error bars representing the statistical uncertainty and shaded bands showing the one standard deviation systematic
uncertainty, normalized by the statistical uncertainty.
012002-17
A. TUMASYAN et al.
PHYS. REV. D 106, 012002 (2022)
is evaluated separately for the deep-W (used in SR1) and
deep-WH (used in SR2–3) distributions, and is different for
each signal mass scenario.
The high-pT extrapolation uncertainty accounts for the
fact that the SFs are derived in events containing jets with
transverse momenta of a few hundred GeV, while the signal
≥ 1 TeV. To account for this effect, the
jets often have pT
difference in the signal selection efficiency when using
HERWIG++ [58] to perform the parton shower is evaluated
with respect to the default PYTHIA8 parton shower. The
uncertainty is evaluated separately for each of the four
types of signal jets (W, Rlqq, R3q, and R4q) for the deep-W
and deep-WH discriminants. It lies in the ranges 20%–30%
and 5%–40% for
the merged and resolved signal,
respectively.
The four DEEPAK8 tagger SF uncertainties (PS, selection
bias, proxy, and high-pT extrapolation) are considered as
uncorrelated and result in a total uncertainty in the range
53%–63% and 10%–45% for merged and resolved signals,
respectively.
X. STATISTICAL ANALYSIS AND RESULTS
The final mjj
(mjjj) distributions for the SRs after
performing a binned maximum likelihood fit in all six
SRs simultaneously are shown in Fig. 9. No signal-like
excess over the background expectation is observed in the
data. Upper limits at 95% confidence level (C.L.) are set on
CMS
W→pp
KK
Expected
Expected
σ 1 ±
σ 1 ±
Observed limit
→ WR →
WWW
experiment
experiment
)
V
e
T
(
R
m
3.5
3
2.5
2
1.5
1
0.5
138 fb
(13 TeV)
1−
)
b
p
(
n
o
i
t
c
e
s
s
s
o
r
c
n
o
t
i
m
i
l
r
e
p
p
u
L
C
%
5
9
2−
10
3−
10
4−
10
Resolved R, merged
W boson decays
Merged R and
W boson decays
3.5
4
4.5
5
0
1.5
2
2.5
3
KKWm
(TeV)
FIG. 10. Expected (red dashed lines) and observed (solid black
line) lower limits at 95% C.L. on the WKK and R resonance
masses for the particular parameters of the explored model. The
colored area indicates the observed upper limit on the product of
the signal cross section and the branching fraction to three W
bosons. The blue dashed line indicates the border between the
merged and resolved decay topologies probed. A signal with mR
lower than 180 GeV is not considered in this search to maintain
on-shell W bosons, while for mWKK > 3 TeV, we only consider
mR > 0.06mWKK .
the production cross section of a potential resonance signal
as functions of the WKK and R resonance masses. The
limits are set following the modified frequentist approach
as described in Refs. [59,60] and the definition of the
profile likelihood test statistic as in Ref. [61] using an
asymptotic approximation [62]. Figure 10 shows the limits
on the product of the WKK production cross section and the
branching fraction to three W bosons.
We exclude WKK resonances decaying in cascade via a
scalar radion R to three W bosons at 95% C.L. with mWKK
up to 3 TeV for the lowest mR of 200 GeV probed using the
model provided in Refs. [3–6]. The highest mR value
excluded is 1.5 TeV for mWKK
¼ 2.3 TeV. The lower limits
set on the production cross sections range from 70 fb at
¼ 5 TeV. The
mWKK
observed limits set in the mWKK-mR plane are weaker than
the expected ones because of a mild excess of data events
¼ 3 (cid:3) 0.3 TeV, which, how-
observed in SR4 around mjjj
ever, exhibits no resonant structure.
¼ 1.5 TeV down to 0.5 fb at mWKK
For the resolved case, most of the sensitivity originates
from SR4, complemented by SR5. For the merged case,
SR2 and SR3 dominate the sensitivity and contribute
roughly equally. The SR1 and SR6 recover sensitivity
to events where one W boson has relatively low pT or
mass.
XI. SUMMARY
A search for resonances decaying in cascade via a radion
→ WR → WWW, in the all-
R to three W bosons, WKK
hadronic final state has been presented. The search is
performed in proton-proton collision data at a center-of-
mass energy of 13 TeV, corresponding to a total integrated
luminosity of 138 fb−1. The final states include two or three
massive, large-radius jets containing the decay products of
the hadronically decaying W bosons. The two-jet case
corresponds to events where the radion decay products are
reconstructed as a single merged jet. The three-jet case
corresponds to events where each W boson from the radion
decay is reconstructed as a single merged jet. In this
analysis and the analysis in the single-lepton channel
reported in Ref. [12], previously unexplored signatures
are probed, using novel jet substructure techniques. In
particular, a dedicated radion tagger based on a neural
network, targeting simultaneously three different radion
decay topologies, has been developed. This tagger has been
calibrated with a novel “matrix method.” These techniques
are also applicable to the identification of H → 4q and
H → qqlν decays of Lorentz-boosted Higgs bosons.
Exclusion limits are set on the product of the production
cross section and the branching fraction to three W bosons
in an extended warped extra-dimensional model. This
result and the analysis in the single-lepton channel [12]
are the first of their kind, and constrain the parameters of
this model for the first time.
012002-18
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PHYS. REV. D 106, 012002 (2022)
ACKNOWLEDGMENTS
We congratulate our colleagues in the CERN accelerator
departments for the excellent performance of the LHC and
thank the technical and administrative staffs at CERN and
at other CMS institutes for their contributions to the success
of the CMS effort. In addition, we gratefully acknowledge
the computing centers and personnel of the Worldwide
LHC Computing Grid and other centers for delivering so
effectively the computing infrastructure essential to our
analyses. Finally, we acknowledge the enduring support for
the CMS
the construction and operation of the LHC,
detector, and the supporting computing infrastructure
provided by the following funding agencies: BMBWF
and FWF (Austria); FNRS and FWO (Belgium); CNPq,
CAPES, FAPERJ, FAPERGS, and FAPESP (Brazil); MES
and BNSF (Bulgaria); CERN; CAS, MoST, and NSFC
(China); MINCIENCIAS (Colombia); MSES and CSF
(Croatia); RIF (Cyprus); SENESCYT (Ecuador); MoER,
ERC PUT, and ERDF (Estonia); Academy of Finland,
MEC, and HIP (Finland); CEA and CNRS/IN2P3 (France);
BMBF, DFG, and HGF (Germany); GSRI
(Greece);
NKFIA (Hungary); DAE and DST (India); IPM (Iran);
SFI (Ireland); INFN (Italy); MSIP and NRF (Republic of
Korea); MES (Latvia); LAS (Lithuania); MOE and UM
(Malaysia); BUAP, CINVESTAV, CONACYT, LNS, SEP,
and UASLP-FAI (Mexico); MOS (Montenegro); MBIE
(New Zealand); PAEC (Pakistan); MSHE and NSC
JINR (Dubna); MON,
(Poland); FCT (Portugal);
RosAtom, RAS, RFBR, and NRC KI (Russia); MESTD
(Serbia); MCIN/AEI and PCTI (Spain); MOSTR (Sri
Lanka); Swiss Funding Agencies (Switzerland); MST
and NSTDA
(Taipei); ThEPCenter,
(Thailand); TUBITAK and TAEK (Turkey); NASU
(Ukraine); STFC (United Kingdom); DOE and NSF
(USA).
from the
the European Research
Marie-Curie
Council and Horizon 2020 Grant, Contracts No. 675440,
No. 724704, No. 752730, No. 758316, No. 765710,
No. 824093, No. 884104, and COST Action CA16108
(European Union); the Leventis Foundation; the Alfred P.
von Humboldt
Sloan Foundation;
Individuals have received support
the Alexander
IPST, STAR,
program and
of
Science—EOS”—be.h
Foundation; the Belgian Federal Science Policy Office;
the Fonds pour la Formation `a la Recherche dans l’Industrie
et dans l’Agriculture (FRIA-Belgium);
the Agentschap
voor Innovatie door Wetenschap en Technologie (IWT-
Belgium); the F. R. S.-FNRS and FWO (Belgium) under
“Excellence
the
Project
the Beijing Municipal Science &
No. 30820817;
Technology Commission, No. Z191100007219010;
the
Ministry of Education, Youth and Sports (MEYS) of the
Czech Republic;
the Deutsche Forschungsgemeinschaft
(DFG), under Germany’s Excellence Strategy—EXC
2121 “Quantum Universe”—390833306,
and under
400140256—GRK2497;
Project No.
the Lendület
(“Momentum”) Program and the János Bolyai Research
Scholarship of the Hungarian Academy of Sciences, the
the NKFIA
New National Excellence Program ÚNKP,
research grants 123842, 123959, 124845, 124850, 125105,
128713, 128786, and 129058 (Hungary); the Council of
Science and Industrial Research, India; the Latvian Council
of Science; the Ministry of Science and Higher Education
and the National Science Center, Contracts Opus No. 2014/
15/B/ST2/03998 and No. 2015/19/B/ST2/02861 (Poland);
the Fundação para a Ciência e a Tecnologia, Grant
the National
No. CEECIND/01334/2018 (Portugal);
Priorities Research Program by Qatar National Research
Fund;
the Ministry of Science and Higher Education,
Projects No. 14.W03.31.0026 and No. FSWW-2020-
0008, and the Russian Foundation for Basic Research,
Project No. 19-42-703014 (Russia); MCIN/AEI/10.13039/
501100011033, ERDF “a way of making Europe,” and the
Programa Estatal de Fomento de la Investigación Científica
y T´ecnica de Excelencia María de Maeztu, Grant
No. MDM-2017-0765 and Programa Severo Ochoa del
Principado de Asturias (Spain);
the Stavros Niarchos
Foundation (Greece); the Rachadapisek Sompot Fund for
Postdoctoral Fellowship, Chulalongkorn University and the
Chulalongkorn Academic into Its 2nd Century Project
Advancement Project (Thailand); the Kavli Foundation;
the Nvidia Corporation; the SuperMicro Corporation; the
Welch Foundation, Contract No. C-1845; and the Weston
Havens Foundation (USA).
[1] CMS Collaboration,
Identification of heavy, energetic,
hadronically decaying particles using machine-learning
techniques, J. Instrum. 15, P06005 (2020).
[2] CMS Collaboration, A search for the standard model Higgs
boson decaying to charm quarks, J. High Energy Phys. 03
(2020) 131.
[3] K. Agashe, P. Du, S. Hong, and R. Sundrum, Flavor
universal resonances and warped gravity, J. High Energy
Phys. 01 (2017) 016.
[4] K. S. Agashe, J. Collins, P. Du, S. Hong, D. Kim, and R. K.
Mishra, LHC signals from cascade decays of warped vector
resonances, J. High Energy Phys. 05 (2017) 078.
[5] K. Agashe, J. H. Collins, P. Du, S. Hong, D. Kim, and R. K.
Mishra, Dedicated strategies for triboson signals from cascade
decays of vector resonances, Phys. Rev. D 99, 075016 (2019).
[6] K. Agashe, J. H. Collins, P. Du, S. Hong, D. Kim, and R. K.
Mishra, Detecting a boosted diboson resonance, J. High
Energy Phys. 11 (2018) 027.
012002-19
A. TUMASYAN et al.
PHYS. REV. D 106, 012002 (2022)
[7] Y.-P. Kuang, H.-Y. Ren, and L.-H. Xia, Further investigation
of the model-independent probe of heavy neutral Higgs
bosons at LHC Run 2, Chin. Phys. C 40, 023101 (2016).
[8] Y.-P. Kuang, H.-Y. Ren, and L.-H. Xia, Model-independent
probe of anomalous heavy neutral Higgs bosons at the LHC,
Phys. Rev. D 90, 115002 (2014).
[9] W. D. Goldberger and M. B. Wise, Modulus Stabilization
with Bulk Fields, Phys. Rev. Lett. 83, 4922 (1999).
[10] ATLAS Collaboration, Observation of WWW Production in
¼ 13 TeV with the ATLAS Detector
ffiffiffi
s
p
pp Collisions at
(to be published).
[11] CMS Collaboration, Observation of the Production of Three
¼ 13 TeV, Phys. Rev. Lett.
ffiffiffi
s
p
Massive Gauge Bosons at
125, 151802 (2020).
[12] CMS Collaboration, companion Letter, Search for Resonan-
ces Decaying to Three W Bosons in Proton-Proton Collisions
¼ 13 TeV, Phys. Rev. Lett. 129, 021802 (2022).
at
ffiffiffi
s
p
[13] HEPData record for this analysis (2021), 10.17182/hep-
data.115182.
[14] CMS Collaboration, Performance of the CMS Level-1
¼ 13 TeV,
in proton-proton collisions at
ffiffiffi
s
p
trigger
J. Instrum. 15, P10017 (2020).
[15] CMS Collaboration, The CMS trigger system, J. Instrum.
12, P01020 (2017).
[16] CMS Collaboration, The CMS experiment at the CERN
LHC, J. Instrum. 3, S08004 (2008).
[17] CMS Collaboration, Precision luminosity measurement in
p
¼ 13 TeV in 2015 and 2016
proton-proton collisions at
at CMS, Eur. Phys. J. C 81, 800 (2021).
ffiffiffi
s
[18] CMS Collaboration, CMS luminosity measurement for the
¼ 13 TeV, CMS Physics
2017 data-taking period at
Analysis Summary Report No. CMS-PAS-LUM-17-004,
2018, https://cds.cern.ch/record/2621960.
ffiffiffi
s
p
[19] CMS Collaboration, CMS luminosity measurement for the
¼ 13 TeV, CMS Physics
2018 data-taking period at
Analysis Summary Report No. CMS-PAS-LUM-18-002,
2019, https://cds.cern.ch/record/2676164.
ffiffiffi
s
p
[20] J. Alwall, R. Frederix, S. Frixione, V. Hirschi, F. Maltoni, O.
Mattelaer, H.-S. Shao, T. Stelzer, P. Torielli, and M. Zaro,
The automated computation of tree-level and next-to-lead-
ing order differential cross sections, and their matching
to parton shower simulations, J. High Energy Phys. 07
(2014) 079.
[21] P. Nason, A new method for combining NLO QCD with
shower Monte Carlo algorithms, J. High Energy Phys. 11
(2004) 040.
[22] S. Frixione, P. Nason, and C. Oleari, Matching NLO QCD
computations with parton shower simulations: The POWHEG
method, J. High Energy Phys. 11 (2007) 070.
[23] S. Alioli, P. Nason, C. Oleari, and E. Re, A general
framework for implementing NLO calculations in shower
Monte Carlo programs: The POWHEG BOX, J. High Energy
Phys. 06 (2010) 043.
[24] S. Alioli, S.-O. Moch, and P. Uwer, Hadronic top-quark
pair-production with one jet and parton showering, J. High
Energy Phys. 01 (2012) 137.
[25] S. Alioli, P. Nason, C. Oleari, and E. Re, NLO single-top
in POWHEG: s- and
production matched with shower
t-channel contributions, J. High Energy Phys. 09 (2009)
111; 02 (2010) 011(E).
[26] R. Frederix, E. Re, and P. Torrielli, Single-top t-channel
hadroproduction in the four-flavour scheme with POWHEG
and AMC@NLO, J. High Energy Phys. 09 (2012) 130.
[27] J. Alwall, S. Höche, F. Krauss, N. Lavesson, L. Lonnblad, F.
Maltoni, M. L. Mangano, M. Moretti, C. G. Papadopoulos,
F. Piccinini, S. Schumann, M. Treccani, J. Winter, and M.
Worek, Comparative study of various algorithms for the
merging of parton showers and matrix elements in hadronic
collisions, Eur. Phys. J. C 53, 473 (2008).
[28] R. D. Ball et al. (NNPDF Collaboration), Parton distribu-
tions for the LHC Run II, J. High Energy Phys. 04 (2015)
040.
[29] R. D. Ball et al. (NNPDF Collaboration), Parton distribu-
tions from high-precision collider data, Eur. Phys. J. C 77,
663 (2017).
[30] T. Sjöstrand, S. Ask, J. R. Christiansen, R. Corke, N. Desai,
P. Ilten, S. Mrenna, S. Prestel, C. O. Rasmussen, and P. Z.
Skands, An introduction to PYTHIA 8.2, Comput. Phys.
Commun. 191, 159 (2015).
[31] CMS Collaboration, Event generator tunes obtained from
underlying event and multiparton scattering measurements,
Eur. Phys. J. C 76, 155 (2016).
[32] CMS Collaboration, Extraction and validation of a new set
of CMS PYTHIA8 tunes from underlying-event measure-
ments, Eur. Phys. J. C 80, 4 (2020).
[33] S. Agostinelli et al. (GEANT4 Collaboration), GEANT4—A
simulation toolkit, Nucl. Instrum. Methods Phys. Res., Sect.
A 506, 250 (2003).
[34] J. Allison et al., GEANT4 developments and applications,
IEEE Trans. Nucl. Sci. 53, 270 (2006).
[35] CMS Collaboration, Measurement of the inclusive W and Z
¼ 7 TeV
production cross sections in pp collisions at
with the CMS experiment, J. High Energy Phys. 10
(2011) 132.
ffiffiffi
s
p
[36] M. Cacciari, G. P. Salam, and G. Soyez, The anti-kT
J. High Energy Phys. 04
jet clustering algorithm,
(2008) 063.
[37] M. Cacciari, G. P. Salam, and G. Soyez, FastJet user manual,
Eur. Phys. J. C 72, 1896 (2012).
[38] CMS Collaboration, Particle-flow reconstruction and global
event description with the CMS detector, J. Instrum. 12,
P10003 (2017).
[39] CMS Collaboration, Pileup mitigation at CMS in 13 TeV
data, J. Instrum. 15, P09018 (2020).
[40] D. Bertolini, P. Harris, M. Low, and N. Tran, Pileup
per particle identification, J. High Energy Phys. 10
(2014) 059.
[41] CMS Collaboration, Jet energy scale and resolution in the
CMS experiment in pp collisions at 8 TeV, J. Instrum. 12,
P02014 (2017).
[42] CMS Collaboration,
in
13 TeV data, CMS Physics Analysis Summary Report
No. CMS-PAS-JME-16-003, 2017, https://cds.cern.ch/
record/2256875.
algorithms performance
Jet
[43] CMS Collaboration, Identification of heavy-flavour jets
in pp collisions at 13 TeV,
with the CMS detector
J. Instrum. 13, P05011 (2018).
[44] CMS Collaboration, Performance of missing transverse
momentum reconstruction in proton-proton collisions at
012002-20
SEARCH FOR RESONANCES DECAYING TO THREE W …
PHYS. REV. D 106, 012002 (2022)
p
ffiffiffi
s
¼ 13 TeV using the CMS detector, J. Instrum. 14,
P07004 (2019).
[45] M. Dasgupta, A. Fregoso, S. Marzani, and G. P. Salam,
Towards an understanding of jet substructure, J. High
Energy Phys. 09 (2013) 029.
[46] J. M. Butterworth, A. R. Davison, M. Rubin, and G. P.
Salam, Jet Substructure as a New Higgs Search Channel
at the LHC, Phys. Rev. Lett. 100, 242001 (2008).
[47] A. J. Larkoski, S. Marzani, G. Soyez, and J. Thaler, Soft
drop, J. High Energy Phys. 05 (2014) 146.
[48] CMS Collaboration, Identification techniques for highly
boosted W bosons that decay into hadrons, J. High Energy
Phys. 12 (2014) 017.
[49] CMS Collaboration, Performance of the CMS muon de-
tector and muon reconstruction with proton-proton colli-
sions at
¼ 13 TeV, J. Instrum. 13, P06015 (2018).
ffiffiffi
s
p
[50] CMS Collaboration, Performance of electron reconstruction
in proton-
¼ 8 TeV, J. Instrum. 10, P06005
and selection with the CMS detector
p
ffiffiffi
s
proton collisions at
(2015).
[51] D. Krohn, J. Thaler, and L. Wang, Jet trimming, J. High
Energy Phys. 02 (2010) 084.
[52] CMS Collaboration, Search for heavy resonances decaying
to WW, WZ, or WH boson pairs in a final state consisting of
a lepton and a large-radius jet in proton-proton collisions at
p
¼ 13 TeV, Phys. Rev. D 105, 032008 (2022).
[53] J. Thaler and K. Van Tilburg, Maximizing boosted top
identification by minimizing N-subjettiness, J. High Energy
Phys. 02 (2012) 093.
ffiffiffi
s
[54] J. Bellm et al., HERWIG7.0/HERWIG++ 3.0 release note, Eur.
Phys. J. C 76, 196 (2016).
[55] CMS Collaboration, Measurement of differential cross
sections for top quark pair production using the lepton þ
jets final state in proton-proton collisions at 13 TeV, Phys.
Rev. D 95, 092001 (2017).
[56] CMS Collaboration, Measurement of t¯t normalised multi-
¼ 13 TeV,
differential cross sections in pp collisions at
and simultaneous determination of the strong coupling
strength,
top quark pole mass, and parton distribution
functions, Eur. Phys. J. C 80, 658 (2020).
ffiffiffi
s
p
[57] CMS Collaboration, Measurement of the inelastic proton-
¼ 13 TeV, J. High Energy Phys.
ffiffiffi
s
p
proton cross section at
07 (2018) 161.
[58] M. Bähr, S. Gieseke, M. A. Gigg, D. Grellscheid, K. Hamilton,
O. Latunde-Dada, S. Plätzer, P. Richardson, M. H. Seymour,
A. Sherstnev, J. Tully, and B. R. Webber, HERWIG++ physics
and manual, Eur. Phys. J. C 58, 639 (2008).
[59] T. Junk, Confidence level computation for combining
searches with small statistics, Nucl. Instrum. Methods Phys.
Res., Sect. A 434, 435 (1999).
[60] A. L. Read, Presentation of search results: The CLs tech-
nique, J. Phys. G 28, 2693 (2002).
[61] ATLAS and CMS Collaborations, and the LHC Higgs
Combination Group, Procedure for the LHC Higgs boson
search combination in Summer 2011, Reports No. CMS-
NOTE-2011-005 and No. ATL-PHYS-PUB-2011-11, 2011,
https://cds.cern.ch/record/1379837.
[62] G. Cowan, K. Cranmer, E. Gross, and O. Vitells, Asymp-
totic formulae for likelihood-based tests of new physics,
Eur. Phys. J. C 71, 1554 (2011); 73, 2501(E) (2013).
A. Tumasyan,1 W. Adam,2 J. W. Andrejkovic,2 T. Bergauer,2 S. Chatterjee,2 K. Damanakis,2 M. Dragicevic,2
A. Escalante Del Valle,2 R. Frühwirth,2,b M. Jeitler,2,b N. Krammer,2 L. Lechner,2 D. Liko,2 I. Mikulec,2 P. Paulitsch,2
F. M. Pitters,2 J. Schieck,2,b R. Schöfbeck,2 D. Schwarz,2 S. Templ,2 W. Waltenberger,2 C.-E. Wulz,2,b V. Chekhovsky,3
A. Litomin,3 V. Makarenko,3 M. R. Darwish,4,c E. A. De Wolf,4 T. Janssen,4 T. Kello,4,d A. Lelek,4 H. Rejeb Sfar,4
P. Van Mechelen,4 S. Van Putte,4 N. Van Remortel,4 E. S. Bols,5 J. D’Hondt,5 M. Delcourt,5 H. El Faham,5 S. Lowette,5
S. Moortgat,5 A. Morton,5 D. Müller,5 A. R. Sahasransu,5 S. Tavernier,5 W. Van Doninck,5 D. Vannerom,5 D. Beghin,6
B. Bilin,6 B. Clerbaux,6 G. De Lentdecker,6 L. Favart,6 A. K. Kalsi,6 K. Lee,6 M. Mahdavikhorrami,6 I. Makarenko,6
L. Moureaux,6 S. Paredes,6 L. P´etr´e,6 A. Popov,6 N. Postiau,6 E. Starling,6 L. Thomas,6 M. Vanden Bemden,6
C. Vander Velde,6 P. Vanlaer,6 T. Cornelis,7 D. Dobur,7 J. Knolle,7 L. Lambrecht,7 G. Mestdach,7 M. Niedziela,7 C. Rendón,7
C. Roskas,7 A. Samalan,7 K. Skovpen,7 M. Tytgat,7 B. Vermassen,7 L. Wezenbeek,7 A. Benecke,8 A. Bethani,8 G. Bruno,8
F. Bury,8 C. Caputo,8 P. David,8 C. Delaere,8 I. S. Donertas,8 A. Giammanco,8 K. Jaffel,8 Sa. Jain,8 V. Lemaitre,8
K. Mondal,8 J. Prisciandaro,8 A. Taliercio,8 M. Teklishyn,8 T. T. Tran,8 P. Vischia,8 S. Wertz,8 G. A. Alves,9 C. Hensel,9
A. Moraes,9 P. Rebello Teles,9 W. L. Aldá Júnior,10 M. Alves Gallo Pereira,10 M. Barroso Ferreira Filho,10
H. Brandao Malbouisson,10 W. Carvalho,10 J. Chinellato,10,e E. M. Da Costa,10 G. G. Da Silveira,10,f D. De Jesus Damiao,10
V. Dos Santos Sousa,10 S. Fonseca De Souza,10 C. Mora Herrera,10 K. Mota Amarilo,10 L. Mundim,10 H. Nogima,10
A. Santoro,10 S. M. Silva Do Amaral,10 A. Sznajder,10 M. Thiel,10 F. Torres Da Silva De Araujo,10,g A. Vilela Pereira,10
C. A. Bernardes,11,f L. Calligaris,11 T. R. Fernandez Perez Tomei,11 E. M. Gregores,11 D. S. Lemos,11 P. G. Mercadante,11
S. F. Novaes,11 Sandra S. Padula,11 A. Aleksandrov,12 G. Antchev,12 R. Hadjiiska,12 P. Iaydjiev,12 M. Misheva,12
M. Rodozov,12 M. Shopova,12 G. Sultanov,12 A. Dimitrov,13 T. Ivanov,13 L. Litov,13 B. Pavlov,13 P. Petkov,13 A. Petrov,13
T. Cheng,14 T. Javaid,14,h M. Mittal,14 L. Yuan,14 M. Ahmad,15 G. Bauer,15 C. Dozen,15,i Z. Hu,15 J. Martins,15,j Y. Wang,15
012002-21
A. TUMASYAN et al.
PHYS. REV. D 106, 012002 (2022)
K. Yi,15,k,l E. Chapon,16 G. M. Chen,16,h H. S. Chen,16,h M. Chen,16 F. Iemmi,16 A. Kapoor,16 D. Leggat,16 H. Liao,16
Z.-A. Liu,16,m V. Milosevic,16 F. Monti,16 R. Sharma,16 J. Tao,16 J. Thomas-Wilsker,16 J. Wang,16 H. Zhang,16 J. Zhao,16
A. Agapitos,17 Y. An,17 Y. Ban,17 C. Chen,17 A. Levin,17 Q. Li,17 X. Lyu,17 Y. Mao,17 S. J. Qian,17 D. Wang,17 J. Xiao,17
H. Yang,17 M. Lu,18 Z. You,18 X. Gao,19,d H. Okawa,19 Y. Zhang,19 Z. Lin,20 M. Xiao,20 C. Avila,21 A. Cabrera,21 C. Florez,21
J. Fraga,21 J. Mejia Guisao,22 F. Ramirez,22 J. D. Ruiz Alvarez,22 D. Giljanovic,23 N. Godinovic,23 D. Lelas,23 I. Puljak,23
Z. Antunovic,24 M. Kovac,24 T. Sculac,24 V. Brigljevic,25 D. Ferencek,25 D. Majumder,25 M. Roguljic,25 A. Starodumov,25,n
T. Susa,25 A. Attikis,26 K. Christoforou,26 A. Ioannou,26 G. Kole,26 M. Kolosova,26 S. Konstantinou,26 J. Mousa,26
C. Nicolaou,26 F. Ptochos,26 P. A. Razis,26 H. Rykaczewski,26 H. Saka,26 M. Finger,27,o M. Finger Jr.,27,o A. Kveton,27
E. Ayala,28 E. Carrera Jarrin,29 H. Abdalla,30,p A. A. Abdelalim,30,q,r M. A. Mahmoud,31 Y. Mohammed,31 S. Bhowmik,32
R. K. Dewanjee,32 K. Ehataht,32 M. Kadastik,32 S. Nandan,32 C. Nielsen,32 J. Pata,32 M. Raidal,32 L. Tani,32 C. Veelken,32
P. Eerola,33 H. Kirschenmann,33 K. Osterberg,33 M. Voutilainen,33 S. Bharthuar,34 E. Brücken,34 F. Garcia,34
J. Havukainen,34 M. S. Kim,34 R. Kinnunen,34 T. Lamp´en,34 K. Lassila-Perini,34 S. Lehti,34 T. Lind´en,34 M. Lotti,34
L. Martikainen,34 M. Myllymäki,34 J. Ott,34 H. Siikonen,34 E. Tuominen,34 J. Tuominiemi,34 P. Luukka,35 H. Petrow,35
T. Tuuva,35 C. Amendola,36 M. Besancon,36 F. Couderc,36 M. Dejardin,36 D. Denegri,36 J. L. Faure,36 F. Ferri,36 S. Ganjour,36
P. Gras,36 G. Hamel de Monchenault,36 P. Jarry,36 B. Lenzi,36 E. Locci,36 J. Malcles,36 J. Rander,36 A. Rosowsky,36
M. Ö. Sahin,36 A. Savoy-Navarro,36,s M. Titov,36 G. B. Yu,36 S. Ahuja,37 F. Beaudette,37 M. Bonanomi,37
A. Buchot Perraguin,37 P. Busson,37 A. Cappati,37 C. Charlot,37 O. Davignon,37 B. Diab,37 G. Falmagne,37 S. Ghosh,37
R. Granier de Cassagnac,37 A. Hakimi,37 I. Kucher,37 J. Motta,37 M. Nguyen,37 C. Ochando,37 P. Paganini,37 J. Rembser,37
R. Salerno,37 U. Sarkar,37 J. B. Sauvan,37 Y. Sirois,37 A. Tarabini,37 A. Zabi,37 A. Zghiche,37 J.-L. Agram,38,t J. Andrea,38
D. Apparu,38 D. Bloch,38 G. Bourgatte,38 J.-M. Brom,38 E. C. Chabert,38 C. Collard,38 D. Darej,38 J.-C. Fontaine,38,t
U. Goerlach,38 C. Grimault,38 A.-C. Le Bihan,38 E. Nibigira,38 P. Van Hove,38 E. Asilar,39 S. Beauceron,39 C. Bernet,39
G. Boudoul,39 C. Camen,39 A. Carle,39 N. Chanon,39 D. Contardo,39 P. Depasse,39 H. El Mamouni,39 J. Fay,39 S. Gascon,39
M. Gouzevitch,39 B. Ille,39 I. B. Laktineh,39 H. Lattaud,39 A. Lesauvage,39 M. Lethuillier,39 L. Mirabito,39 S. Perries,39
K. Shchablo,39 V. Sordini,39 L. Torterotot,39 G. Touquet,39 M. Vander Donckt,39 S. Viret,39 I. Lomidze,40 T. Toriashvili,40,u
Z. Tsamalaidze,40,o V. Botta,41 L. Feld,41 K. Klein,41 M. Lipinski,41 D. Meuser,41 A. Pauls,41 N. Röwert,41 J. Schulz,41
M. Teroerde,41 A. Dodonova,42 D. Eliseev,42 M. Erdmann,42 P. Fackeldey,42 B. Fischer,42 T. Hebbeker,42 K. Hoepfner,42
F. Ivone,42 L. Mastrolorenzo,42 M. Merschmeyer,42 A. Meyer,42 G. Mocellin,42 S. Mondal,42 S. Mukherjee,42 D. Noll,42
A. Novak,42 A. Pozdnyakov,42 Y. Rath,42 H. Reithler,42 A. Schmidt,42 S. C. Schuler,42 A. Sharma,42 L. Vigilante,42
S. Wiedenbeck,42 S. Zaleski,42 C. Dziwok,43 G. Flügge,43 W. Haj Ahmad,43,v O. Hlushchenko,43 T. Kress,43 A. Nowack,43
O. Pooth,43 D. Roy,43 A. Stahl,43,w T. Ziemons,43 A. Zotz,43 H. Aarup Petersen,44 M. Aldaya Martin,44 P. Asmuss,44
S. Baxter,44 M. Bayatmakou,44 O. Behnke,44 A. Bermúdez Martínez,44 S. Bhattacharya,44 A. A. Bin Anuar,44 F. Blekman,44
K. Borras,44,x D. Brunner,44 A. Campbell,44 A. Cardini,44 C. Cheng,44 F. Colombina,44 S. Consuegra Rodríguez,44
G. Correia Silva,44 V. Danilov,44 M. De Silva,44 L. Didukh,44 G. Eckerlin,44 D. Eckstein,44 L. I. Estevez Banos,44
O. Filatov,44 E. Gallo,44,y A. Geiser,44 A. Giraldi,44 A. Grohsjean,44 M. Guthoff,44 A. Jafari,44,z N. Z. Jomhari,44 H. Jung,44
A. Kasem,44,x M. Kasemann,44 H. Kaveh,44 C. Kleinwort,44 R. Kogler,44 D. Krücker,44 W. Lange,44 K. Lipka,44
W. Lohmann,44,aa R. Mankel,44 I.-A. Melzer-Pellmann,44 M. Mendizabal Morentin,44 J. Metwally,44 A. B. Meyer,44
M. Meyer,44 J. Mnich,44 A. Mussgiller,44 A. Nürnberg,44 Y. Otarid,44 D. P´erez Adán,44 D. Pitzl,44 A. Raspereza,44
B. Ribeiro Lopes,44 J. Rübenach,44 A. Saggio,44 A. Saibel,44 M. Savitskyi,44 M. Scham,44,bb V. Scheurer,44 S. Schnake,44
P. Schütze,44 C. Schwanenberger,44,y M. Shchedrolosiev,44 R. E. Sosa Ricardo,44 D. Stafford,44 N. Tonon,44
M. Van De Klundert,44 F. Vazzoler,44 R. Walsh,44 D. Walter,44 Q. Wang,44 Y. Wen,44 K. Wichmann,44 L. Wiens,44
C. Wissing,44 S. Wuchterl,44 R. Aggleton,45 S. Albrecht,45 S. Bein,45 L. Benato,45 P. Connor,45 K. De Leo,45 M. Eich,45
F. Feindt,45 A. Fröhlich,45 C. Garbers,45 E. Garutti,45 P. Gunnellini,45 M. Hajheidari,45 J. Haller,45 A. Hinzmann,45
G. Kasieczka,45 R. Klanner,45 T. Kramer,45 V. Kutzner,45 J. Lange,45 T. Lange,45 A. Lobanov,45 A. Malara,45 A. Mehta,45
A. Nigamova,45 K. J. Pena Rodriguez,45 M. Rieger,45 O. Rieger,45 P. Schleper,45 M. Schröder,45 J. Schwandt,45
J. Sonneveld,45 H. Stadie,45 G. Steinbrück,45 A. Tews,45 I. Zoi,45 J. Bechtel,46 S. Brommer,46 M. Burkart,46 E. Butz,46
R. Caspart,46 T. Chwalek,46 W. De Boer,46,a A. Dierlamm,46 A. Droll,46 K. El Morabit,46 N. Faltermann,46 M. Giffels,46
J. O. Gosewisch,46 A. Gottmann,46 F. Hartmann,46,w C. Heidecker,46 U. Husemann,46 P. Keicher,46 R. Koppenhöfer,46
S. Maier,46 M. Metzler,46 S. Mitra,46 Th. Müller,46 M. Neukum,46 G. Quast,46 K. Rabbertz,46 J. Rauser,46 D. Savoiu,46
M. Schnepf,46 D. Seith,46 I. Shvetsov,46 H. J. Simonis,46 R. Ulrich,46 J. Van Der Linden,46 R. F. Von Cube,46 M. Wassmer,46
012002-22
SEARCH FOR RESONANCES DECAYING TO THREE W …
PHYS. REV. D 106, 012002 (2022)
M. Weber,46 S. Wieland,46 R. Wolf,46 S. Wozniewski,46 S. Wunsch,46 G. Anagnostou,47 G. Daskalakis,47 A. Kyriakis,47
D. Loukas,47 A. Stakia,47 M. Diamantopoulou,48 D. Karasavvas,48 P. Kontaxakis,48 C. K. Koraka,48
A. Manousakis-Katsikakis,48 A. Panagiotou,48 I. Papavergou,48 N. Saoulidou,48 K. Theofilatos,48 E. Tziaferi,48 K. Vellidis,48
E. Vourliotis,48 G. Bakas,49 K. Kousouris,49 I. Papakrivopoulos,49 G. Tsipolitis,49 A. Zacharopoulou,49 K. Adamidis,50
I. Bestintzanos,50 I. Evangelou,50 C. Foudas,50 P. Gianneios,50 P. Katsoulis,50 P. Kokkas,50 N. Manthos,50 I. Papadopoulos,50
J. Strologas,50 M. Csanad,51 K. Farkas,51 M. M. A. Gadallah,51,cc S. Lökös,51,dd P. Major,51 K. Mandal,51 G. Pasztor,51
A. J. Rádl,51 O. Surányi,51 G. I. Veres,51 M. Bartók,52,ee G. Bencze,52 C. Hajdu,52 D. Horvath,52,ff,gg F. Sikler,52
V. Veszpremi,52 S. Czellar,53 D. Fasanella,53 F. Fienga,53 J. Karancsi,53,ee J. Molnar,53 Z. Szillasi,53 D. Teyssier,53 P. Raics,54
Z. L. Trocsanyi,54,hh B. Ujvari,54 T. Csorgo,55,ii F. Nemes,55,ii T. Novak,55 S. Bahinipati,56,jj C. Kar,56 P. Mal,56 T. Mishra,56
V. K. Muraleedharan Nair Bindhu,56,kk A. Nayak,56,kk P. Saha,56 N. Sur,56 S. K. Swain,56 D. Vats,56,kk S. Bansal,57
S. B. Beri,57 V. Bhatnagar,57 G. Chaudhary,57 S. Chauhan,57 N. Dhingra,57,ll R. Gupta,57 A. Kaur,57 H. Kaur,57 M. Kaur,57
P. Kumari,57 M. Meena,57 K. Sandeep,57 J. B. Singh,57 A. K. Virdi,57 A. Ahmed,58 A. Bhardwaj,58 B. C. Choudhary,58
M. Gola,58 S. Keshri,58 A. Kumar,58 M. Naimuddin,58 P. Priyanka,58 K. Ranjan,58 A. Shah,58 M. Bharti,59,mm
R. Bhattacharya,59 S. Bhattacharya,59 D. Bhowmik,59 S. Dutta,59 S. Dutta,59 B. Gomber,59,nn M. Maity,59,oo P. Palit,59
P. K. Rout,59 G. Saha,59 B. Sahu,59 S. Sarkar,59 M. Sharan,59 P. K. Behera,60 S. C. Behera,60 P. Kalbhor,60
J. R. Komaragiri,60,pp D. Kumar,60,pp A. Muhammad,60 L. Panwar,60,pp R. Pradhan,60 P. R. Pujahari,60 A. Sharma,60
A. K. Sikdar,60 P. C. Tiwari,60,pp K. Naskar,61,qq T. Aziz,62 S. Dugad,62 M. Kumar,62 S. Banerjee,63 R. Chudasama,63
M. Guchait,63 S. Karmakar,63 S. Kumar,63 G. Majumder,63 K. Mazumdar,63 S. Mukherjee,63 A. Alpana,64 S. Dube,64
B. Kansal,64 A. Laha,64 S. Pandey,64 A. Rastogi,64 S. Sharma,64 H. Bakhshiansohi,65,rr,ss E. Khazaie,65,ss M. Sedghi,65,tt
S. Chenarani,66,uu S. M. Etesami,66 M. Khakzad,66 M. Mohammadi Najafabadi,66 M. Grunewald,67 M. Abbrescia,68a,68b
R. Aly,68a,68b,vv C. Aruta,68a,68b A. Colaleo,68a D. Creanza,68a,68c N. De Filippis,68a,68c M. De Palma,68a,68b A. Di Florio,68a,68b
A. Di Pilato,68a,68b W. Elmetenawee,68a,68b F. Errico,68a,68b L. Fiore,68a A. Gelmi,68a,68b M. Gul,68a G. Iaselli,68a,68c
M. Ince,68a,68b S. Lezki,68a,68b G. Maggi,68a,68c M. Maggi,68a I. Margjeka,68a,68b V. Mastrapasqua,68a,68b S. My,68a,68b
S. Nuzzo,68a,68b A. Pellecchia,68a,68b A. Pompili,68a,68b G. Pugliese,68a,68c D. Ramos,68a A. Ranieri,68a G. Selvaggi,68a,68b
L. Silvestris,68a F. M. Simone,68a,68b Ü. Sözbilir,68a R. Venditti,68a P. Verwilligen,68a G. Abbiendi,69a C. Battilana,69a,69b
D. Bonacorsi,69a,69b L. Borgonovi,69a L. Brigliadori,69a R. Campanini,69a,69b P. Capiluppi,69a,69b A. Castro,69a,69b
F. R. Cavallo,69a C. Ciocca,69a M. Cuffiani,69a,69b G. M. Dallavalle,69a T. Diotalevi,69a,69b F. Fabbri,69a A. Fanfani,69a,69b
P. Giacomelli,69a L. Giommi,69a,69b C. Grandi,69a L. Guiducci,69a,69b S. Lo Meo,69a,ww L. Lunerti,69a,69b S. Marcellini,69a
G. Masetti,69a F. L. Navarria,69a,69b A. Perrotta,69a F. Primavera,69a,69b A. M. Rossi,69a,69b T. Rovelli,69a,69b G. P. Siroli,69a,69b
S. Albergo,70a,70b,xx S. Costa,70a,70b,xx A. Di Mattia,70a R. Potenza,70a,70b A. Tricomi,70a,70b,xx C. Tuve,70a,70b G. Barbagli,71a
A. Cassese,71a R. Ceccarelli,71a,71b V. Ciulli,71a,71b C. Civinini,71a R. D’Alessandro,71a,71b E. Focardi,71a,71b G. Latino,71a,71b
P. Lenzi,71a,71b M. Lizzo,71a,71b M. Meschini,71a S. Paoletti,71a R. Seidita,71a,71b G. Sguazzoni,71a L. Viliani,71a L. Benussi,72
S. Bianco,72 D. Piccolo,72 M. Bozzo,73a,73b F. Ferro,73a R. Mulargia,73a E. Robutti,73a S. Tosi,73a,73b A. Benaglia,74a
G. Boldrini,74a F. Brivio,74a,74b F. Cetorelli,74a,74b F. De Guio,74a,74b M. E. Dinardo,74a,74b P. Dini,74a S. Gennai,74a
A. Ghezzi,74a,74b P. Govoni,74a,74b L. Guzzi,74a,74b M. T. Lucchini,74a,74b M. Malberti,74a S. Malvezzi,74a A. Massironi,74a
D. Menasce,74a L. Moroni,74a M. Paganoni,74a,74b D. Pedrini,74a B. S. Pinolini,74a S. Ragazzi,74a,74b N. Redaelli,74a
T. Tabarelli de Fatis,74a,74b D. Valsecchi,74a,74b,w D. Zuolo,74a,74b S. Buontempo,75a F. Carnevali,75a,75b N. Cavallo,75a,75c
A. De Iorio,75a,75b F. Fabozzi,75a,75c A. O. M. Iorio,75a,75b L. Lista,75a,75b,yy S. Meola,75a,75d,w P. Paolucci,75a,w B. Rossi,75a
C. Sciacca,75a,75b P. Azzi,76a N. Bacchetta,76a D. Bisello,76a,76b P. Bortignon,76a A. Bragagnolo,76a,76b R. Carlin,76a,76b
P. Checchia,76a T. Dorigo,76a U. Dosselli,76a F. Gasparini,76a,76b U. Gasparini,76a,76b G. Grosso,76a L. Layer,76a,zz E. Lusiani,76a
M. Margoni,76a,76b A. T. Meneguzzo,76a,76b J. Pazzini,76a,76b P. Ronchese,76a,76b R. Rossin,76a,76b F. Simonetto,76a,76b
G. Strong,76a M. Tosi,76a,76b H. Yarar,76a,76b M. Zanetti,76a,76b P. Zotto,76a,76b A. Zucchetta,76a,76b G. Zumerle,76a,76b
C. Aim`e,77a,77b A. Braghieri,77a S. Calzaferri,77a,77b D. Fiorina,77a,77b P. Montagna,77a,77b S. P. Ratti,77a,77b V. Re,77a
C. Riccardi,77a,77b P. Salvini,77a I. Vai,77a P. Vitulo,77a,77b P. Asenov,78a,aaa G. M. Bilei,78a D. Ciangottini,78a,78b L. Fanò,78a,78b
M. Magherini,78a,78b G. Mantovani,78a,78b V. Mariani,78a,78b M. Menichelli,78a F. Moscatelli,78a,aaa A. Piccinelli,78a,78b
M. Presilla,78a,78b A. Rossi,78a,78b A. Santocchia,78a,78b D. Spiga,78a T. Tedeschi,78a,78b P. Azzurri,79a G. Bagliesi,79a
V. Bertacchi,79a,79c L. Bianchini,79a T. Boccali,79a E. Bossini,79a,79b R. Castaldi,79a M. A. Ciocci,79a,79b V. D’Amante,79a,79d
R. Dell’Orso,79a M. R. Di Domenico,79a,79d S. Donato,79a A. Giassi,79a F. Ligabue,79a,79c E. Manca,79a,79c G. Mandorli,79a,79c
D. Matos Figueiredo,79a A. Messineo,79a,79b M. Musich,79a F. Palla,79a S. Parolia,79a,79b G. Ramirez-Sanchez,79a,79c
012002-23
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PHYS. REV. D 106, 012002 (2022)
A. Rizzi,79a,79b G. Rolandi,79a,79c S. Roy Chowdhury,79a,79c A. Scribano,79a N. Shafiei,79a,79b P. Spagnolo,79a R. Tenchini,79a
G. Tonelli,79a,79b N. Turini,79a,79d A. Venturi,79a P. G. Verdini,79a P. Barria,80a M. Campana,80a,80b F. Cavallari,80a
D. Del Re,80a,80b E. Di Marco,80a M. Diemoz,80a E. Longo,80a,80b P. Meridiani,80a G. Organtini,80a,80b F. Pandolfi,80a
R. Paramatti,80a,80b C. Quaranta,80a,80b S. Rahatlou,80a,80b C. Rovelli,80a F. Santanastasio,80a,80b L. Soffi,80a
R. Tramontano,80a,80b N. Amapane,81a,81b R. Arcidiacono,81a,81c S. Argiro,81a,81b M. Arneodo,81a,81c N. Bartosik,81a
R. Bellan,81a,81b A. Bellora,81a,81b J. Berenguer Antequera,81a,81b C. Biino,81a N. Cartiglia,81a M. Costa,81a,81b
R. Covarelli,81a,81b N. Demaria,81a B. Kiani,81a,81b F. Legger,81a C. Mariotti,81a S. Maselli,81a E. Migliore,81a,81b
E. Monteil,81a,81b M. Monteno,81a M. M. Obertino,81a,81b G. Ortona,81a L. Pacher,81a,81b N. Pastrone,81a M. Pelliccioni,81a
M. Ruspa,81a,81c K. Shchelina,81a F. Siviero,81a,81b V. Sola,81a A. Solano,81a,81b D. Soldi,81a,81b A. Staiano,81a
M. Tornago,81a,81b D. Trocino,81a A. Vagnerini,81a,81b S. Belforte,82a V. Candelise,82a,82b M. Casarsa,82a F. Cossutti,82a
A. Da Rold,82a,82b G. Della Ricca,82a,82b G. Sorrentino,82a,82b S. Dogra,83 C. Huh,83 B. Kim,83 D. H. Kim,83 G. N. Kim,83
J. Kim,83 J. Lee,83 S. W. Lee,83 C. S. Moon,83 Y. D. Oh,83 S. I. Pak,83 S. Sekmen,83 Y. C. Yang,83 H. Kim,84 D. H. Moon,84
B. Francois,85 T. J. Kim,85 J. Park,85 S. Cho,86 S. Choi,86 B. Hong,86 K. Lee,86 K. S. Lee,86 J. Lim,86 J. Park,86 S. K. Park,86
J. Yoo,86 J. Goh,87 A. Gurtu,87 H. S. Kim,88 Y. Kim,88 J. Almond,89 J. H. Bhyun,89 J. Choi,89 S. Jeon,89 J. Kim,89 J. S. Kim,89
S. Ko,89 H. Kwon,89 H. Lee,89 S. Lee,89 B. H. Oh,89 M. Oh,89 S. B. Oh,89 H. Seo,89 U. K. Yang,89 I. Yoon,89 W. Jang,90
D. Y. Kang,90 Y. Kang,90 S. Kim,90 B. Ko,90 J. S. H. Lee,90 Y. Lee,90 J. A. Merlin,90 I. C. Park,90 Y. Roh,90 M. S. Ryu,90
D. Song,90 I. J. Watson,90 S. Yang,90 S. Ha,91 H. D. Yoo,91 M. Choi,92 H. Lee,92 Y. Lee,92 I. Yu,92 T. Beyrouthy,93
Y. Maghrbi,93 K. Dreimanis,94 V. Veckalns,94,bbb M. Ambrozas,95 A. Carvalho Antunes De Oliveira,95 A. Juodagalvis,95
A. Rinkevicius,95 G. Tamulaitis,95 N. Bin Norjoharuddeen,96 Z. Zolkapli,96 J. F. Benitez,97 A. Castaneda Hernandez,97
L. G. Gallegos Maríñez,97 M. León Coello,97 J. A. Murillo Quijada,97 A. Sehrawat,97 L. Valencia Palomo,97 G. Ayala,98
H. Castilla-Valdez,98 E. De La Cruz-Burelo,98 I. Heredia-De La Cruz,98,ccc R. Lopez-Fernandez,98
C. A. Mondragon Herrera,98 D. A. Perez Navarro,98 R. Reyes-Almanza,98 A. Sánchez Hernández,98 S. Carrillo Moreno,99
C. Oropeza Barrera,99 F. Vazquez Valencia,99 I. Pedraza,100 H. A. Salazar Ibarguen,100 C. Uribe Estrada,100
J. Mijuskovic,101,ddd N. Raicevic,101 D. Krofcheck,102 P. H. Butler,103 A. Ahmad,104 M. I. Asghar,104 A. Awais,104
M. I. M. Awan,104 H. R. Hoorani,104 W. A. Khan,104 M. A. Shah,104 M. Shoaib,104 M. Waqas,104 V. Avati,105 L. Grzanka,105
M. Malawski,105 H. Bialkowska,106 M. Bluj,106 B. Boimska,106 M. Górski,106 M. Kazana,106 M. Szleper,106 P. Zalewski,106
K. Bunkowski,107 K. Doroba,107 A. Kalinowski,107 M. Konecki,107 J. Krolikowski,107 M. Araujo,108 P. Bargassa,108
D. Bastos,108 A. Boletti,108 P. Faccioli,108 M. Gallinaro,108 J. Hollar,108 N. Leonardo,108 T. Niknejad,108 M. Pisano,108
J. Seixas,108 O. Toldaiev,108 J. Varela,108 S. Afanasiev,109 D. Budkouski,109 I. Golutvin,109 I. Gorbunov,109 V. Karjavine,109
V. Korenkov,109 A. Lanev,109 A. Malakhov,109 V. Matveev,109,eee,fff V. Palichik,109 V. Perelygin,109 M. Savina,109
V. Shalaev,109 S. Shmatov,109 S. Shulha,109 V. Smirnov,109 O. Teryaev,109 N. Voytishin,109 B. S. Yuldashev,109,ggg
A. Zarubin,109 I. Zhizhin,109 G. Gavrilov,110 V. Golovtcov,110 Y. Ivanov,110 V. Kim,110,hhh E. Kuznetsova,110,iii V. Murzin,110
V. Oreshkin,110 I. Smirnov,110 D. Sosnov,110 V. Sulimov,110 L. Uvarov,110 S. Volkov,110 A. Vorobyev,110 Yu. Andreev,111
A. Dermenev,111 S. Gninenko,111 N. Golubev,111 A. Karneyeu,111 D. Kirpichnikov,111 M. Kirsanov,111 N. Krasnikov,111
A. Pashenkov,111 G. Pivovarov,111 A. Toropin,111 V. Epshteyn,112 V. Gavrilov,112 N. Lychkovskaya,112 A. Nikitenko,112,jjj
V. Popov,112 A. Stepennov,112 M. Toms,112 E. Vlasov,112 A. Zhokin,112 T. Aushev,113 O. Bychkova,114 M. Chadeeva,114,kkk
P. Parygin,114 E. Popova,114 V. Rusinov,114 D. Selivanova,114 V. Andreev,115 M. Azarkin,115 I. Dremin,115 M. Kirakosyan,115
A. Terkulov,115 A. Belyaev,116 E. Boos,116 V. Bunichev,116 M. Dubinin,116,lll L. Dudko,116 A. Ershov,116 V. Klyukhin,116
O. Kodolova,116 I. Lokhtin,116 S. Obraztsov,116 M. Perfilov,116 S. Petrushanko,116 V. Savrin,116 V. Blinov,117,mmm
T. Dimova,117,mmm L. Kardapoltsev,117,mmm A. Kozyrev,117,mmm I. Ovtin,117,mmm O. Radchenko,117,mmm Y. Skovpen,117,mmm
I. Azhgirey,118 I. Bayshev,118 D. Elumakhov,118 V. Kachanov,118 D. Konstantinov,118 P. Mandrik,118 V. Petrov,118
R. Ryutin,118 S. Slabospitskii,118 A. Sobol,118 S. Troshin,118 N. Tyurin,118 A. Uzunian,118 A. Volkov,118 A. Babaev,119
V. Okhotnikov,119 V. Borshch,120 V. Ivanchenko,120 E. Tcherniaev,120 P. Adzic,121,nnn M. Dordevic,121 P. Milenovic,121
J. Milosevic,121 M. Aguilar-Benitez,122 J. Alcaraz Maestre,122 A. Álvarez Fernández,122 I. Bachiller,122 M. Barrio Luna,122
Cristina F. Bedoya,122 C. A. Carrillo Montoya,122 M. Cepeda,122 M. Cerrada,122 N. Colino,122 B. De La Cruz,122
A. Delgado Peris,122 J. P. Fernández Ramos,122 J. Flix,122 M. C. Fouz,122 O. Gonzalez Lopez,122 S. Goy Lopez,122
J. M. Hernandez,122 M. I. Josa,122 J. León Holgado,122 D. Moran,122 Á. Navarro Tobar,122 C. Perez Dengra,122
A. P´erez-Calero Yzquierdo,122 J. Puerta Pelayo,122 I. Redondo,122 L. Romero,122 S. Sánchez Navas,122 L. Urda Gómez,122
C. Willmott,122 J. F. de Trocóniz,123 B. Alvarez Gonzalez,124 J. Cuevas,124 C. Erice,124 J. Fernandez Menendez,124
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S. Folgueras,124 I. Gonzalez Caballero,124 J. R. González Fernández,124 E. Palencia Cortezon,124 C. Ramón Álvarez,124
V. Rodríguez Bouza,124 A. Soto Rodríguez,124 A. Trapote,124 N. Trevisani,124 C. Vico Villalba,124
J. A. Brochero Cifuentes,125 I. J. Cabrillo,125 A. Calderon,125 J. Duarte Campderros,125 M. Fernandez,125
C. Fernandez Madrazo,125 P. J. Fernández Manteca,125 A. García Alonso,125 G. Gomez,125 C. Martinez Rivero,125
P. Martinez Ruiz del Arbol,125 F. Matorras,125 P. Matorras Cuevas,125 J. Piedra Gomez,125 C. Prieels,125 A. Ruiz-Jimeno,125
L. Scodellaro,125 I. Vila,125 J. M. Vizan Garcia,125 M. K. Jayananda,126 B. Kailasapathy,126,ooo D. U. J. Sonnadara,126
D. D. C. Wickramarathna,126 W. G. D. Dharmaratna,127 K. Liyanage,127 N. Perera,127 N. Wickramage,127 T. K. Aarrestad,128
D. Abbaneo,128 J. Alimena,128 E. Auffray,128 G. Auzinger,128 J. Baechler,128 P. Baillon,128,a D. Barney,128 J. Bendavid,128
M. Bianco,128 A. Bocci,128 C. Caillol,128 T. Camporesi,128 M. Capeans Garrido,128 G. Cerminara,128 N. Chernyavskaya,128
S. S. Chhibra,128 S. Choudhury,128 M. Cipriani,128 L. Cristella,128 D. d’Enterria,128 A. Dabrowski,128 A. David,128
A. De Roeck,128 M. M. Defranchis,128 M. Deile,128 M. Dobson,128 M. Dünser,128 N. Dupont,128 A. Elliott-Peisert,128
F. Fallavollita,128,ppp A. Florent,128 L. Forthomme,128 G. Franzoni,128 W. Funk,128 S. Ghosh,128 S. Giani,128 D. Gigi,128
K. Gill,128 F. Glege,128 L. Gouskos,128 M. Haranko,128 J. Hegeman,128 V. Innocente,128 T. James,128 P. Janot,128 J. Kaspar,128
J. Kieseler,128 M. Komm,128 N. Kratochwil,128 C. Lange,128 S. Laurila,128 P. Lecoq,128 A. Lintuluoto,128 K. Long,128
C. Lourenço,128 B. Maier,128 L. Malgeri,128 S. Mallios,128 M. Mannelli,128 A. C. Marini,128 F. Meijers,128 S. Mersi,128
E. Meschi,128 F. Moortgat,128 M. Mulders,128 S. Orfanelli,128 L. Orsini,128 F. Pantaleo,128 E. Perez,128 M. Peruzzi,128
A. Petrilli,128 G. Petrucciani,128 A. Pfeiffer,128 M. Pierini,128 D. Piparo,128 M. Pitt,128 H. Qu,128 T. Quast,128 D. Rabady,128
A. Racz,128 G. Reales Guti´errez,128 M. Rovere,128 H. Sakulin,128 J. Salfeld-Nebgen,128 S. Scarfi,128 C. Schäfer,128
C. Schwick,128 M. Selvaggi,128 A. Sharma,128 P. Silva,128 W. Snoeys,128 P. Sphicas,128,qqq S. Summers,128 K. Tatar,128
V. R. Tavolaro,128 D. Treille,128 P. Tropea,128 A. Tsirou,128 J. Wanczyk,128,rrr K. A. Wozniak,128 W. D. Zeuner,128
L. Caminada,129,sss A. Ebrahimi,129 W. Erdmann,129 R. Horisberger,129 Q. Ingram,129 H. C. Kaestli,129 D. Kotlinski,129
U. Langenegger,129 M. Missiroli,129,sss L. Noehte,129,sss T. Rohe,129 K. Androsov,130,rrr M. Backhaus,130 P. Berger,130
A. Calandri,130 A. De Cosa,130 G. Dissertori,130 M. Dittmar,130 M. Doneg`a,130 C. Dorfer,130 F. Eble,130 K. Gedia,130
F. Glessgen,130 T. A. Gómez Espinosa,130 C. Grab,130 D. Hits,130 W. Lustermann,130 A.-M. Lyon,130 R. A. Manzoni,130
L. Marchese,130 C. Martin Perez,130 M. T. Meinhard,130 F. Nessi-Tedaldi,130 J. Niedziela,130 F. Pauss,130 V. Perovic,130
S. Pigazzini,130 M. G. Ratti,130 M. Reichmann,130 C. Reissel,130 T. Reitenspiess,130 B. Ristic,130 D. Ruini,130
D. A. Sanz Becerra,130 V. Stampf,130 J. Steggemann,130,rrr R. Wallny,130 C. Amsler,131,ttt P. Bärtschi,131 C. Botta,131
D. Brzhechko,131 M. F. Canelli,131 K. Cormier,131 A. De Wit,131 R. Del Burgo,131 J. K. Heikkilä,131 M. Huwiler,131 W. Jin,131
A. Jofrehei,131 B. Kilminster,131 S. Leontsinis,131 S. P. Liechti,131 A. Macchiolo,131 P. Meiring,131 V. M. Mikuni,131
U. Molinatti,131 I. Neutelings,131 A. Reimers,131 P. Robmann,131 S. Sanchez Cruz,131 K. Schweiger,131 M. Senger,131
Y. Takahashi,131 C. Adloff,132,uuu C. M. Kuo,132 W. Lin,132 A. Roy,132 T. Sarkar,132,oo S. S. Yu,132 L. Ceard,133 Y. Chao,133
K. F. Chen,133 P. H. Chen,133 P. s. Chen,133 H. Cheng,133 W.-S. Hou,133 Y. y. Li,133 R.-S. Lu,133 E. Paganis,133 A. Psallidas,133
A. Steen,133 H. y. Wu,133 E. Yazgan,133 P. r. Yu,133 B. Asavapibhop,134 C. Asawatangtrakuldee,134 N. Srimanobhas,134
F. Boran,135 S. Damarseckin,135,vvv Z. S. Demiroglu,135 F. Dolek,135 I. Dumanoglu,135,www E. Eskut,135 Y. Guler,135,xxx
E. Gurpinar Guler,135,xxx C. Isik,135 O. Kara,135 A. Kayis Topaksu,135 U. Kiminsu,135 G. Onengut,135 K. Ozdemir,135,yyy
A. Polatoz,135 A. E. Simsek,135 B. Tali,135,zzz U. G. Tok,135 S. Turkcapar,135 I. S. Zorbakir,135 G. Karapinar,136
K. Ocalan,136,aaaa M. Yalvac,136,bbbb B. Akgun,137 I. O. Atakisi,137 E. Gulmez,137 M. Kaya,137,cccc O. Kaya,137,dddd
Ö. Özçelik,137 S. Tekten,137,eeee E. A. Yetkin,137,ffff A. Cakir,138 K. Cankocak,138,www Y. Komurcu,138 S. Sen,138,gggg
S. Cerci,139,zzz I. Hos,139,hhhh B. Isildak,139,iiii B. Kaynak,139 S. Ozkorucuklu,139 H. Sert,139 D. Sunar Cerci,139,zzz
C. Zorbilmez,139 B. Grynyov,140 L. Levchuk,141 D. Anthony,142 E. Bhal,142 S. Bologna,142 J. J. Brooke,142 A. Bundock,142
E. Clement,142 D. Cussans,142 H. Flacher,142 J. Goldstein,142 G. P. Heath,142 H. F. Heath,142 L. Kreczko,142 B. Krikler,142
S. Paramesvaran,142 S. Seif El Nasr-Storey,142 V. J. Smith,142 N. Stylianou,142,jjjj K. Walkingshaw Pass,142 R. White,142
K. W. Bell,143 A. Belyaev,143,kkkk C. Brew,143 R. M. Brown,143 D. J. A. Cockerill,143 C. Cooke,143 K. V. Ellis,143 K. Harder,143
S. Harper,143 M.-L. Holmberg,143,llll J. Linacre,143 K. Manolopoulos,143 D. M. Newbold,143 E. Olaiya,143 D. Petyt,143
T. Reis,143 T. Schuh,143 C. H. Shepherd-Themistocleous,143 I. R. Tomalin,143 T. Williams,143 R. Bainbridge,144 P. Bloch,144
S. Bonomally,144 J. Borg,144 S. Breeze,144 O. Buchmuller,144 V. Cepaitis,144 G. S. Chahal,144,mmmm D. Colling,144
P. Dauncey,144 G. Davies,144 M. Della Negra,144 S. Fayer,144 G. Fedi,144 G. Hall,144 M. H. Hassanshahi,144 G. Iles,144
J. Langford,144 L. Lyons,144 A.-M. Magnan,144 S. Malik,144 A. Martelli,144 D. G. Monk,144 J. Nash,144,nnnn M. Pesaresi,144
B. C. Radburn-Smith,144 D. M. Raymond,144 A. Richards,144 A. Rose,144 E. Scott,144 C. Seez,144 A. Shtipliyski,144
012002-25
A. TUMASYAN et al.
PHYS. REV. D 106, 012002 (2022)
A. Tapper,144 K. Uchida,144 T. Virdee,144,w M. Vojinovic,144 N. Wardle,144 S. N. Webb,144 D. Winterbottom,144
K. Coldham,145 J. E. Cole,145 A. Khan,145 P. Kyberd,145 I. D. Reid,145 L. Teodorescu,145 S. Zahid,145 S. Abdullin,146
A. Brinkerhoff,146 B. Caraway,146 J. Dittmann,146 K. Hatakeyama,146 A. R. Kanuganti,146 B. McMaster,146 N. Pastika,146
M. Saunders,146 S. Sawant,146 C. Sutantawibul,146 J. Wilson,146 R. Bartek,147 A. Dominguez,147 R. Uniyal,147
A. M. Vargas Hernandez,147 A. Buccilli,148 S. I. Cooper,148 D. Di Croce,148 S. V. Gleyzer,148 C. Henderson,148 C. U. Perez,148
P. Rumerio,148,oooo C. West,148 A. Akpinar,149 A. Albert,149 D. Arcaro,149 C. Cosby,149 Z. Demiragli,149 E. Fontanesi,149
D. Gastler,149 S. May,149 J. Rohlf,149 K. Salyer,149 D. Sperka,149 D. Spitzbart,149 I. Suarez,149 A. Tsatsos,149 S. Yuan,149
D. Zou,149 G. Benelli,150 B. Burkle,150 X. Coubez,150,x D. Cutts,150 M. Hadley,150 U. Heintz,150 J. M. Hogan,150,pppp
T. Kwon,150 G. Landsberg,150 K. T. Lau,150 D. Li,150 M. Lukasik,150 J. Luo,150 M. Narain,150 N. Pervan,150 S. Sagir,150,qqqq
F. Simpson,150 E. Usai,150 W. Y. Wong,150 X. Yan,150 D. Yu,150 W. Zhang,150 J. Bonilla,151 C. Brainerd,151 R. Breedon,151
M. Calderon De La Barca Sanchez,151 M. Chertok,151 J. Conway,151 P. T. Cox,151 R. Erbacher,151 G. Haza,151 F. Jensen,151
O. Kukral,151 R. Lander,151 M. Mulhearn,151 D. Pellett,151 B. Regnery,151 D. Taylor,151 Y. Yao,151 F. Zhang,151 M. Bachtis,152
R. Cousins,152 A. Datta,152 D. Hamilton,152 J. Hauser,152 M. Ignatenko,152 M. A. Iqbal,152 T. Lam,152 W. A. Nash,152
S. Regnard,152 D. Saltzberg,152 B. Stone,152 V. Valuev,152 Y. Chen,153 R. Clare,153 J. W. Gary,153 M. Gordon,153 G. Hanson,153
G. Karapostoli,153 O. R. Long,153 N. Manganelli,153 W. Si,153 S. Wimpenny,153 Y. Zhang,153 J. G. Branson,154 P. Chang,154
S. Cittolin,154 S. Cooperstein,154 N. Deelen,154 D. Diaz,154 J. Duarte,154 R. Gerosa,154 L. Giannini,154 J. Guiang,154
R. Kansal,154 V. Krutelyov,154 R. Lee,154 J. Letts,154 M. Masciovecchio,154 F. Mokhtar,154 M. Pieri,154
B. V. Sathia Narayanan,154 V. Sharma,154 M. Tadel,154 F. Würthwein,154 Y. Xiang,154 A. Yagil,154 N. Amin,155
C. Campagnari,155 M. Citron,155 G. Collura,155 A. Dorsett,155 V. Dutta,155 J. Incandela,155 M. Kilpatrick,155 J. Kim,155
B. Marsh,155 H. Mei,155 M. Oshiro,155 M. Quinnan,155 J. Richman,155 U. Sarica,155 F. Setti,155 J. Sheplock,155
P. Siddireddy,155 D. Stuart,155 S. Wang,155 A. Bornheim,156 O. Cerri,156 I. Dutta,156 J. M. Lawhorn,156 N. Lu,156 J. Mao,156
H. B. Newman,156 T. Q. Nguyen,156 M. Spiropulu,156 J. R. Vlimant,156 C. Wang,156 S. Xie,156 Z. Zhang,156 R. Y. Zhu,156
J. Alison,157 S. An,157 M. B. Andrews,157 P. Bryant,157 T. Ferguson,157 A. Harilal,157 C. Liu,157 T. Mudholkar,157
M. Paulini,157 A. Sanchez,157 W. Terrill,157 J. P. Cumalat,158 W. T. Ford,158 A. Hassani,158 G. Karathanasis,158
E. MacDonald,158 R. Patel,158 A. Perloff,158 C. Savard,158 N. Schonbeck,158 K. Stenson,158 K. A. Ulmer,158 S. R. Wagner,158
N. Zipper,158 J. Alexander,159 S. Bright-Thonney,159 X. Chen,159 Y. Cheng,159 D. J. Cranshaw,159 S. Hogan,159 J. Monroy,159
J. R. Patterson,159 D. Quach,159 J. Reichert,159 M. Reid,159 A. Ryd,159 W. Sun,159 J. Thom,159 P. Wittich,159 R. Zou,159
M. Albrow,160 M. Alyari,160 G. Apollinari,160 A. Apresyan,160 A. Apyan,160 L. A. T. Bauerdick,160 D. Berry,160
J. Berryhill,160 P. C. Bhat,160 K. Burkett,160 J. N. Butler,160 A. Canepa,160 G. B. Cerati,160 H. W. K. Cheung,160
F. Chlebana,160 K. F. Di Petrillo,160 J. Dickinson,160 V. D. Elvira,160 Y. Feng,160 J. Freeman,160 Z. Gecse,160 L. Gray,160
D. Green,160 S. Grünendahl,160 O. Gutsche,160 R. M. Harris,160 R. Heller,160 T. C. Herwig,160 J. Hirschauer,160
B. Jayatilaka,160 S. Jindariani,160 M. Johnson,160 U. Joshi,160 T. Klijnsma,160 B. Klima,160 K. H. M. Kwok,160 S. Lammel,160
D. Lincoln,160 R. Lipton,160 T. Liu,160 C. Madrid,160 K. Maeshima,160 C. Mantilla,160 D. Mason,160 P. McBride,160
P. Merkel,160 S. Mrenna,160 S. Nahn,160 J. Ngadiuba,160 V. Papadimitriou,160 K. Pedro,160 C. Pena,160,lll F. Ravera,160
A. Reinsvold Hall,160,rrrr L. Ristori,160 E. Sexton-Kennedy,160 N. Smith,160 A. Soha,160 L. Spiegel,160 S. Stoynev,160
J. Strait,160 L. Taylor,160 S. Tkaczyk,160 N. V. Tran,160 L. Uplegger,160 E. W. Vaandering,160 H. A. Weber,160 P. Avery,161
D. Bourilkov,161 L. Cadamuro,161 V. Cherepanov,161 R. D. Field,161 D. Guerrero,161 B. M. Joshi,161 M. Kim,161 E. Koenig,161
J. Konigsberg,161 A. Korytov,161 K. H. Lo,161 K. Matchev,161 N. Menendez,161 G. Mitselmakher,161
A. Muthirakalayil Madhu,161 N. Rawal,161 D. Rosenzweig,161 S. Rosenzweig,161 K. Shi,161 J. Wang,161 Z. Wu,161
E. Yigitbasi,161 X. Zuo,161 T. Adams,162 A. Askew,162 R. Habibullah,162 V. Hagopian,162 K. F. Johnson,162 R. Khurana,162
T. Kolberg,162 G. Martinez,162 H. Prosper,162 C. Schiber,162 O. Viazlo,162 R. Yohay,162 J. Zhang,162 M. M. Baarmand,163
S. Butalla,163 T. Elkafrawy,163,ssss M. Hohlmann,163 R. Kumar Verma,163 D. Noonan,163 M. Rahmani,163 F. Yumiceva,163
M. R. Adams,164 H. Becerril Gonzalez,164 R. Cavanaugh,164 S. Dittmer,164 O. Evdokimov,164 C. E. Gerber,164
D. J. Hofman,164 A. H. Merrit,164 C. Mills,164 G. Oh,164 T. Roy,164 S. Rudrabhatla,164 M. B. Tonjes,164 N. Varelas,164
J. Viinikainen,164 X. Wang,164 Z. Ye,164 M. Alhusseini,165 K. Dilsiz,165,tttt L. Emediato,165 R. P. Gandrajula,165
O. K. Köseyan,165 J.-P. Merlo,165 A. Mestvirishvili,165,uuuu J. Nachtman,165 H. Ogul,165,vvvv Y. Onel,165 A. Penzo,165
C. Snyder,165 E. Tiras,165,wwww O. Amram,166 B. Blumenfeld,166 L. Corcodilos,166 J. Davis,166 A. V. Gritsan,166
S. Kyriacou,166 P. Maksimovic,166 J. Roskes,166 M. Swartz,166 T. Á. Vámi,166 A. Abreu,167 J. Anguiano,167
C. Baldenegro Barrera,167 P. Baringer,167 A. Bean,167 Z. Flowers,167 T. Isidori,167 S. Khalil,167 J. King,167 G. Krintiras,167
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A. Kropivnitskaya,167 M. Lazarovits,167 C. Le Mahieu,167 C. Lindsey,167 J. Marquez,167 N. Minafra,167 M. Murray,167
M. Nickel,167 C. Rogan,167 C. Royon,167 R. Salvatico,167 S. Sanders,167 E. Schmitz,167 C. Smith,167 Q. Wang,167
Z. Warner,167 J. Williams,167 G. Wilson,167 S. Duric,168 A. Ivanov,168 K. Kaadze,168 D. Kim,168 Y. Maravin,168 T. Mitchell,168
A. Modak,168 K. Nam,168 F. Rebassoo,169 D. Wright,169 E. Adams,170 A. Baden,170 O. Baron,170 A. Belloni,170 S. C. Eno,170
N. J. Hadley,170 S. Jabeen,170 R. G. Kellogg,170 T. Koeth,170 Y. Lai,170 S. Lascio,170 A. C. Mignerey,170 S. Nabili,170
C. Palmer,170 M. Seidel,170 A. Skuja,170 L. Wang,170 K. Wong,170 D. Abercrombie,171 G. Andreassi,171 R. Bi,171 W. Busza,171
I. A. Cali,171 Y. Chen,171 M. D’Alfonso,171 J. Eysermans,171 C. Freer,171 G. Gomez Ceballos,171 M. Goncharov,171
P. Harris,171 M. Hu,171 M. Klute,171 D. Kovalskyi,171 J. Krupa,171 Y.-J. Lee,171 C. Mironov,171 C. Paus,171 D. Rankin,171
C. Roland,171 G. Roland,171 Z. Shi,171 G. S. F. Stephans,171 J. Wang,171 Z. Wang,171 B. Wyslouch,171 R. M. Chatterjee,172
A. Evans,172 J. Hiltbrand,172 Sh. Jain,172 M. Krohn,172 Y. Kubota,172 J. Mans,172 M. Revering,172 R. Rusack,172 R. Saradhy,172
N. Schroeder,172 N. Strobbe,172 M. A. Wadud,172 K. Bloom,173 M. Bryson,173 S. Chauhan,173 D. R. Claes,173
C. Fangmeier,173 L. Finco,173 F. Golf,173 C. Joo,173 I. Kravchenko,173 I. Reed,173 J. E. Siado,173 G. R. Snow,173,a W. Tabb,173
A. Wightman,173 F. Yan,173 A. G. Zecchinelli,173 G. Agarwal,174 H. Bandyopadhyay,174 L. Hay,174 I. Iashvili,174
A. Kharchilava,174 C. McLean,174 D. Nguyen,174 J. Pekkanen,174 S. Rappoccio,174 A. Williams,174 G. Alverson,175
E. Barberis,175 Y. Haddad,175 Y. Han,175 A. Hortiangtham,175 A. Krishna,175 J. Li,175 J. Lidrych,175 G. Madigan,175
B. Marzocchi,175 D. M. Morse,175 V. Nguyen,175 T. Orimoto,175 A. Parker,175 L. Skinnari,175 A. Tishelman-Charny,175
T. Wamorkar,175 B. Wang,175 A. Wisecarver,175 D. Wood,175 S. Bhattacharya,176 J. Bueghly,176 Z. Chen,176 A. Gilbert,176
T. Gunter,176 K. A. Hahn,176 Y. Liu,176 N. Odell,176 M. H. Schmitt,176 M. Velasco,176 R. Band,177 R. Bucci,177
M. Cremonesi,177 A. Das,177 N. Dev,177 R. Goldouzian,177 M. Hildreth,177 K. Hurtado Anampa,177 C. Jessop,177
K. Lannon,177 J. Lawrence,177 N. Loukas,177 D. Lutton,177 J. Mariano,177 N. Marinelli,177 I. Mcalister,177 T. McCauley,177
C. Mcgrady,177 K. Mohrman,177 C. Moore,177 Y. Musienko,177,eee R. Ruchti,177 A. Townsend,177 M. Wayne,177
M. Zarucki,177 L. Zygala,177 B. Bylsma,178 L. S. Durkin,178 B. Francis,178 C. Hill,178 M. Nunez Ornelas,178 K. Wei,178
B. L. Winer,178 B. R. Yates,178 F. M. Addesa,179 B. Bonham,179 P. Das,179 G. Dezoort,179 P. Elmer,179 A. Frankenthal,179
B. Greenberg,179 N. Haubrich,179 S. Higginbotham,179 A. Kalogeropoulos,179 G. Kopp,179 S. Kwan,179 D. Lange,179
D. Marlow,179 K. Mei,179 I. Ojalvo,179 J. Olsen,179 D. Stickland,179 C. Tully,179 S. Malik,180 S. Norberg,180 A. S. Bakshi,181
V. E. Barnes,181 R. Chawla,181 S. Das,181 L. Gutay,181 M. Jones,181 A. W. Jung,181 D. Kondratyev,181 A. M. Koshy,181
M. Liu,181 G. Negro,181 N. Neumeister,181 G. Paspalaki,181 S. Piperov,181 A. Purohit,181 J. F. Schulte,181 M. Stojanovic,181,s
J. Thieman,181 F. Wang,181 R. Xiao,181 W. Xie,181 J. Dolen,182 N. Parashar,182 D. Acosta,183 A. Baty,183 T. Carnahan,183
M. Decaro,183 S. Dildick,183 K. M. Ecklund,183 S. Freed,183 P. Gardner,183 F. J. M. Geurts,183 A. Kumar,183 W. Li,183
B. P. Padley,183 R. Redjimi,183 J. Rotter,183 W. Shi,183 A. G. Stahl Leiton,183 S. Yang,183 L. Zhang,183,xxxx Y. Zhang,183
A. Bodek,184 P. de Barbaro,184 R. Demina,184 J. L. Dulemba,184 C. Fallon,184 T. Ferbel,184 M. Galanti,184
A. Garcia-Bellido,184 O. Hindrichs,184 A. Khukhunaishvili,184 E. Ranken,184 R. Taus,184 G. P. Van Onsem,184 B. Chiarito,185
J. P. Chou,185 A. Gandrakota,185 Y. Gershtein,185 E. Halkiadakis,185 A. Hart,185 M. Heindl,185 O. Karacheban,185,aa
I. Laflotte,185 A. Lath,185 R. Montalvo,185 K. Nash,185 M. Osherson,185 S. Salur,185 S. Schnetzer,185 S. Somalwar,185
R. Stone,185 S. A. Thayil,185 S. Thomas,185 H. Wang,185 H. Acharya,186 A. G. Delannoy,186 S. Fiorendi,186 S. Spanier,186
O. Bouhali,187,yyyy M. Dalchenko,187 A. Delgado,187 R. Eusebi,187 J. Gilmore,187 T. Huang,187 T. Kamon,187,zzzz H. Kim,187
S. Luo,187 S. Malhotra,187 R. Mueller,187 D. Overton,187 D. Rathjens,187 A. Safonov,187 N. Akchurin,188 J. Damgov,188
V. Hegde,188 S. Kunori,188 K. Lamichhane,188 S. W. Lee,188 T. Mengke,188 S. Muthumuni,188 T. Peltola,188 I. Volobouev,188
Z. Wang,188 A. Whitbeck,188 E. Appelt,189 S. Greene,189 A. Gurrola,189 W. Johns,189 A. Melo,189 K. Padeken,189 F. Romeo,189
P. Sheldon,189 S. Tuo,189 J. Velkovska,189 M. W. Arenton,190 B. Cardwell,190 B. Cox,190 G. Cummings,190 J. Hakala,190
R. Hirosky,190 M. Joyce,190 A. Ledovskoy,190 A. Li,190 C. Neu,190 C. E. Perez Lara,190 B. Tannenwald,190 S. White,190
N. Poudyal,191 S. Banerjee,192 K. Black,192 T. Bose,192 S. Dasu,192 I. De Bruyn,192 P. Everaerts,192 C. Galloni,192 H. He,192
M. Herndon,192 A. Herve,192 U. Hussain,192 A. Lanaro,192 A. Loeliger,192 R. Loveless,192 J. Madhusudanan Sreekala,192
A. Mallampalli,192 A. Mohammadi,192 D. Pinna,192 A. Savin,192 V. Shang,192 V. Sharma,192 W. H. Smith,192 D. Teague,192
S. Trembath-Reichert,192 and W. Vetens192
(CMS Collaboration)
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1Yerevan Physics Institute, Yerevan, Armenia
2Institut für Hochenergiephysik, Vienna, Austria
3Institute for Nuclear Problems, Minsk, Belarus
4Universiteit Antwerpen, Antwerpen, Belgium
5Vrije Universiteit Brussel, Brussel, Belgium
6Universit´e Libre de Bruxelles, Bruxelles, Belgium
7Ghent University, Ghent, Belgium
8Universit´e Catholique de Louvain, Louvain-la-Neuve, Belgium
9Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro, Brazil
10Universidade do Estado do Rio de Janeiro, Rio de Janeiro, Brazil
11Universidade Estadual Paulista, Universidade Federal do ABC, São Paulo, Brazil
12Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria
13University of Sofia, Sofia, Bulgaria
14Beihang University, Beijing, China
15Department of Physics, Tsinghua University, Beijing, China
16Institute of High Energy Physics, Beijing, China
17State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing, China
18Sun Yat-Sen University, Guangzhou, China
19Institute of Modern Physics and Key Laboratory of Nuclear Physics and Ion-beam Application
(MOE)—Fudan University, Shanghai, China
20Zhejiang University, Hangzhou, China, Zhejiang, China
21Universidad de Los Andes, Bogota, Colombia
22Universidad de Antioquia, Medellin, Colombia
23University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture,
Split, Croatia
24University of Split, Faculty of Science, Split, Croatia
25Institute Rudjer Boskovic, Zagreb, Croatia
26University of Cyprus, Nicosia, Cyprus
27Charles University, Prague, Czech Republic
28Escuela Politecnica Nacional, Quito, Ecuador
29Universidad San Francisco de Quito, Quito, Ecuador
30Academy of Scientific Research and Technology of the Arab Republic of Egypt,
Egyptian Network of High Energy Physics, Cairo, Egypt
31Center for High Energy Physics (CHEP-FU), Fayoum University, El-Fayoum, Egypt
32National Institute of Chemical Physics and Biophysics, Tallinn, Estonia
33Department of Physics, University of Helsinki, Helsinki, Finland
34Helsinki Institute of Physics, Helsinki, Finland
35Lappeenranta University of Technology, Lappeenranta, Finland
36IRFU, CEA, Universit´e Paris-Saclay, Gif-sur-Yvette, France
37Laboratoire Leprince-Ringuet, CNRS/IN2P3, Ecole Polytechnique, Institut Polytechnique de Paris,
Palaiseau, France
38Universit´e de Strasbourg, CNRS, IPHC UMR 7178, Strasbourg, France
39Institut de Physique des 2 Infinis de Lyon (IP2I), Villeurbanne, France
40Georgian Technical University, Tbilisi, Georgia
41RWTH Aachen University, I. Physikalisches Institut, Aachen, Germany
42RWTH Aachen University, III. Physikalisches Institut A, Aachen, Germany
43RWTH Aachen University, III. Physikalisches Institut B, Aachen, Germany
44Deutsches Elektronen-Synchrotron, Hamburg, Germany
45University of Hamburg, Hamburg, Germany
46Karlsruher Institut fuer Technologie, Karlsruhe, Germany
47Institute of Nuclear and Particle Physics (INPP), NCSR Demokritos, Aghia Paraskevi, Greece
48National and Kapodistrian University of Athens, Athens, Greece
49National Technical University of Athens, Athens, Greece
50University of Ioánnina, Ioánnina, Greece
51MTA-ELTE Lendület CMS Particle and Nuclear Physics Group,
Eötvös Loránd University, Budapest, Hungary
52Wigner Research Centre for Physics, Budapest, Hungary
53Institute of Nuclear Research ATOMKI, Debrecen, Hungary
54Institute of Physics, University of Debrecen, Debrecen, Hungary
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55Karoly Robert Campus, MATE Institute of Technology, Gyongyos, Hungary
56National Institute of Science Education and Research, HBNI, Bhubaneswar, India
57Panjab University, Chandigarh, India
58University of Delhi, Delhi, India
59Saha Institute of Nuclear Physics, HBNI, Kolkata, India
60Indian Institute of Technology Madras, Madras, India
61Bhabha Atomic Research Centre, Mumbai, India
62Tata Institute of Fundamental Research-A, Mumbai, India
63Tata Institute of Fundamental Research-B, Mumbai, India
64Indian Institute of Science Education and Research (IISER), Pune, India
65Isfahan University of Technology, Isfahan, Iran
66Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
67University College Dublin, Dublin, Ireland
68aINFN Sezione di Bari, Bari, Italy
68bUniversit`a di Bari, Bari, Italy
68cPolitecnico di Bari, Bari, Italy
69aINFN Sezione di Bologna, Universit`a di Bologna, Bologna, Italy
69bINFN Sezione di Bologna, Bologna, Italy
69cUniversit`a di Bologna, Bologna, Italy
70aINFN Sezione di Catania, Universit`a di Catania, Catania, Italy
70bINFN Sezione di Catania, Catania, Italy
70cUniversit`a di Catania, Catania, Italy
71aINFN Sezione di Firenze, Universit`a di Firenze, Firenze, Italy
71bINFN Sezione di Firenze, Firenze, Italy
71cUniversit`a di Firenze, Firenze, Italy
72INFN Laboratori Nazionali di Frascati, Frascati, Italy
73aINFN Sezione di Genova, Universit`a di Genova, Genova, Italy
73bINFN Sezione di Genova, Genova, Italy
73cUniversit`a di Genova, Genova, Italy
74aINFN Sezione di Milano-Bicocca, Universit`a di Milano-Bicocca, Milano, Italy
74bINFN Sezione di Milano-Bicocca, Milano, Italy
74cUniversit`a di Milano-Bicocca, Milano, Italy
75aINFN Sezione di Napoli, Universit`a di Napoli ‘Federico II’, Napoli, Italy, Universit`a della Basilicata,
Potenza, Italy, Universit`a G. Marconi, Roma, Italy, Napoli, Italy
75bINFN Sezione di Napoli, Napoli, Italy
75cUniversit`a di Napoli ’Federico II’, Napoli, Italy
75dUniversit`a della Basilicata, Potenza, Italy
75eUniversit`a G. Marconi, Roma, Italy
76aINFN Sezione di Padova, Universit`a di Padova, Padova, Italy, Universit`a di Trento,
Trento, Italy, Padova, Italy
76abINFN Sezione di Padova, Padova, Italy
76cUniversit`a di Padova, Padova, Italy
76dUniversit`a di Trento, Trento, Italy
77aINFN Sezione di Pavia, Pavia, Italy
77bUniversit`a di Pavia, Pavia, Italy
78aINFN Sezione di Perugia, Universit`a di Perugia, Perugia, Italy
78bINFN Sezione di Perugia, Perugia, Italy
78cUniversit`a di Perugia, Perugia, Italy
79aINFN Sezione di Pisa, Universit`a di Pisa, Scuola Normale Superiore di Pisa, Pisa Italy,
Universit`a di Siena, Siena, Italy, Pisa, Italy
79bINFN Sezione di Pisa, Pisa, Italy
79cUniversit`a di Pisa, Pisa, Italy
79dScuola Normale Superiore di Pisa, Pisa, Italy
79eUniversit`a di Siena, Siena, Italy
80aINFN Sezione di Roma, Sapienza Universit`a di Roma, Rome, Italy, Rome, Italy
80bINFN Sezione di Roma, Rome, Italy
80cSapienza Universit`a di Roma, Rome, Italy
81aINFN Sezione di Torino, Universit`a di Torino, Torino, Italy,
Universit`a del Piemonte Orientale, Novara, Italy, Torino, Italy
81bINFN Sezione di Torino, Torino, Italy
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81cUniversit`a di Torino, Torino, Italy
81dUniversit`a del Piemonte Orientale, Novara, Italy
82aINFN Sezione di Trieste, Universit`a di Trieste, Trieste, Italy
82bINFN Sezione di Trieste, Trieste, Italy
82cUniversit`a di Trieste, Trieste, Italy
83Kyungpook National University, Daegu, Korea
84Chonnam National University, Institute for Universe and Elementary Particles, Kwangju, Korea
85Hanyang University, Seoul, Korea
86Korea University, Seoul, Korea
87Kyung Hee University, Department of Physics, Seoul, Republic of Korea, Seoul, Korea
88Sejong University, Seoul, Korea
89Seoul National University, Seoul, Korea
90University of Seoul, Seoul, Korea
91Yonsei University, Department of Physics, Seoul, Korea
92Sungkyunkwan University, Suwon, Korea
93College of Engineering and Technology, American University of the Middle East (AUM),
Egaila, Kuwait, Dasman, Kuwait
94Riga Technical University, Riga, Latvia
95Vilnius University, Vilnius, Lithuania
96National Centre for Particle Physics, Universiti Malaya, Kuala Lumpur, Malaysia
97Universidad de Sonora (UNISON), Hermosillo, Mexico
98Centro de Investigacion y de Estudios Avanzados del IPN, Mexico City, Mexico
99Universidad Iberoamericana, Mexico City, Mexico
100Benemerita Universidad Autonoma de Puebla, Puebla, Mexico
101University of Montenegro, Podgorica, Montenegro
102University of Auckland, Auckland, New Zealand
103University of Canterbury, Christchurch, New Zealand
104National Centre for Physics, Quaid-I-Azam University, Islamabad, Pakistan
105AGH University of Science and Technology Faculty of Computer Science,
Electronics and Telecommunications, Krakow, Poland
106National Centre for Nuclear Research, Swierk, Poland
107Institute of Experimental Physics, Faculty of Physics, University of Warsaw, Warsaw, Poland
108Laboratório de Instrumentação e Física Experimental de Partículas, Lisboa, Portugal
109Joint Institute for Nuclear Research, Dubna, Russia
110Petersburg Nuclear Physics Institute, Gatchina (St. Petersburg), Russia
111Institute for Nuclear Research, Moscow, Russia
112Institute for Theoretical and Experimental Physics named by A.I. Alikhanov of
NRC ‘Kurchatov Institute’, Moscow, Russia
113Moscow Institute of Physics and Technology, Moscow, Russia
114National Research Nuclear University ’Moscow Engineering Physics Institute’ (MEPhI),
Moscow, Russia
115P.N. Lebedev Physical Institute, Moscow, Russia
116Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia
117Novosibirsk State University (NSU), Novosibirsk, Russia
118Institute for High Energy Physics of National Research Centre ‘Kurchatov Institute’, Protvino, Russia
119National Research Tomsk Polytechnic University, Tomsk, Russia
120Tomsk State University, Tomsk, Russia
121University of Belgrade: Faculty of Physics and VINCA Institute of Nuclear Sciences, Belgrade, Serbia
122Centro de Investigaciones Energ´eticas Medioambientales y Tecnológicas (CIEMAT), Madrid, Spain
123Universidad Autónoma de Madrid, Madrid, Spain
124Universidad de Oviedo, Instituto Universitario de Ciencias y Tecnologías Espaciales de Asturias (ICTEA),
Oviedo, Spain
125Instituto de Física de Cantabria (IFCA), CSIC-Universidad de Cantabria, Santander, Spain
126University of Colombo, Colombo, Sri Lanka
127University of Ruhuna, Department of Physics, Matara, Sri Lanka
128CERN, European Organization for Nuclear Research, Geneva, Switzerland
129Paul Scherrer Institut, Villigen, Switzerland
130ETH Zurich—Institute for Particle Physics and Astrophysics (IPA), Zurich, Switzerland
131Universität Zürich, Zurich, Switzerland
132National Central University, Chung-Li, Taiwan
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133National Taiwan University (NTU), Taipei, Taiwan
134Chulalongkorn University, Faculty of Science, Department of Physics, Bangkok, Thailand
135Çukurova University, Physics Department, Science and Art Faculty, Adana, Turkey
136Middle East Technical University, Physics Department, Ankara, Turkey
137Bogazici University, Istanbul, Turkey
138Istanbul Technical University, Istanbul, Turkey
139Istanbul University, Istanbul, Turkey
140Institute for Scintillation Materials of National Academy of Science of Ukraine, Kharkov, Ukraine
141National Scientific Center, Kharkov Institute of Physics and Technology, Kharkov, Ukraine
142University of Bristol, Bristol, United Kingdom
143Rutherford Appleton Laboratory, Didcot, United Kingdom
144Imperial College, London, United Kingdom
145Brunel University, Uxbridge, United Kingdom
146Baylor University, Waco, Texas, USA
147Catholic University of America, Washington, DC, USA
148The University of Alabama, Tuscaloosa, Alabama, USA
149Boston University, Boston, Massachusetts, USA
150Brown University, Providence, Rhode Island, USA
151University of California, Davis, Davis, California, USA
152University of California, Los Angeles, California, USA
153University of California, Riverside, Riverside, California, USA
154University of California, San Diego, La Jolla, California, USA
155University of California, Santa Barbara—Department of Physics, Santa Barbara, California, USA
156California Institute of Technology, Pasadena, California, USA
157Carnegie Mellon University, Pittsburgh, Pennsylvania, USA
158University of Colorado Boulder, Boulder, Colorado, USA
159Cornell University, Ithaca, New York, USA
160Fermi National Accelerator Laboratory, Batavia, Illinois, USA
161University of Florida, Gainesville, Florida, USA
162Florida State University, Tallahassee, Florida, USA
163Florida Institute of Technology, Melbourne, Florida, USA
164University of Illinois at Chicago (UIC), Chicago, Illinois, USA
165The University of Iowa, Iowa City, Iowa, USA
166Johns Hopkins University, Baltimore, Maryland, USA
167The University of Kansas, Lawrence, Kansas, USA
168Kansas State University, Manhattan, Kansas, USA
169Lawrence Livermore National Laboratory, Livermore, California, USA
170University of Maryland, College Park, Maryland, USA
171Massachusetts Institute of Technology, Cambridge, Massachusetts, USA
172University of Minnesota, Minneapolis, Minnesota, USA
173University of Nebraska-Lincoln, Lincoln, Nebraska, USA
174State University of New York at Buffalo, Buffalo, New York, USA
175Northeastern University, Boston, Massachusetts, USA
176Northwestern University, Evanston, Illinois, USA
177University of Notre Dame, Notre Dame, Indiana, USA
178The Ohio State University, Columbus, Ohio, USA
179Princeton University, Princeton, New Jersey, USA
180University of Puerto Rico, Mayaguez, Puerto Rico, USA
181Purdue University, West Lafayette, Indiana, USA
182Purdue University Northwest, Hammond, Indiana, USA
183Rice University, Houston, Texas, USA
184University of Rochester, Rochester, New York, USA
185Rutgers, The State University of New Jersey, Piscataway, New Jersey, USA
186University of Tennessee, Knoxville, Tennessee, USA
187Texas A&M University, College Station, Texas, USA
188Texas Tech University, Lubbock, Texas, USA
189Vanderbilt University, Nashville, Tennessee, USA
190University of Virginia, Charlottesville, Virginia, USA
191Wayne State University, Detroit, Michigan, USA
192University of Wisconsin—Madison, Madison, Wisconsin, USA
012002-31
A. TUMASYAN et al.
PHYS. REV. D 106, 012002 (2022)
aDeceased.
bAlso at TU Wien, Wien, Austria.
cAlso at Institute of Basic and Applied Sciences, Faculty of Engineering, Arab Academy for Science, Technology and Maritime
Transport, Alexandria, Egypt.
dAlso at Universit´e Libre de Bruxelles, Bruxelles, Belgium.
eAlso at Universidade Estadual de Campinas, Campinas, Brazil.
fAlso at Federal University of Rio Grande do Sul, Porto Alegre, Brazil.
gAlso at The University of the State of Amazonas, Manaus, Brazil.
hAlso at University of Chinese Academy of Sciences, Beijing, China.
iAlso at Department of Physics, Tsinghua University, Beijing, China.
jAlso at UFMS, Nova Andradina, Brazil.
kAlso at The University of Iowa, Iowa City, Iowa, USA.
lAlso at Nanjing Normal University Department of Physics, Nanjing, China.
mAlso at University of Chinese Academy of Sciences, Beijing, China.
nAlso at Institute for Theoretical and Experimental Physics named by A.I. Alikhanov of NRC ‘Kurchatov Institute’,
Moscow, Russia.
oAlso at Joint Institute for Nuclear Research, Dubna, Russia.
pAlso at Cairo University, Cairo, Egypt.
qAlso at Helwan University, Cairo, Egypt.
rAlso at Zewail City of Science and Technology, Zewail, Egypt.
sAlso at Purdue University, West Lafayette, Indiana, USA.
tAlso at Universit´e de Haute Alsace, Mulhouse, France.
uAlso at Tbilisi State University, Tbilisi, Georgia.
vAlso at Erzincan Binali Yildirim University, Erzincan, Turkey.
wAlso at CERN, European Organization for Nuclear Research, Geneva, Switzerland.
xAlso at RWTH Aachen University, III. Physikalisches Institut A, Aachen, Germany.
yAlso at University of Hamburg, Hamburg, Germany.
zAlso at Isfahan University of Technology, Isfahan, Iran.
aaAlso at Brandenburg University of Technology, Cottbus, Germany.
bbAlso at Forschungszentrum Jülich, Juelich, Germany.
ccAlso at Physics Department, Faculty of Science, Assiut University, Assiut, Egypt.
ddAlso at Karoly Robert Campus, MATE Institute of Technology, Gyongyos, Hungary.
eeAlso at Institute of Physics, University of Debrecen, Debrecen, Hungary.
ffAlso at Institute of Nuclear Research ATOMKI, Debrecen, Hungary.
ggAlso at Universitatea Babes-Bolyai—Facultatea de Fizica, Cluj-Napoca, Romania.
hhAlso at MTA-ELTE Lendület CMS Particle and Nuclear Physics Group, Eötvös Loránd University, Budapest, Hungary.
iiAlso at Wigner Research Centre for Physics, Budapest, Hungary.
jjAlso at IIT Bhubaneswar, Bhubaneswar, India.
kkAlso at Institute of Physics, Bhubaneswar, India.
llAlso at Punjab Agricultural University, Ludhiana, India.
mmAlso at Shoolini University, Solan, India.
nnAlso at University of Hyderabad, Hyderabad, India.
ooAlso at University of Visva-Bharati, Santiniketan, India.
ppAlso at Indian Institute of Science (IISc), Bangalore, India.
qqAlso at Indian Institute of Technology (IIT), Mumbai, India.
rrAlso at Deutsches Elektronen-Synchrotron, Hamburg, Germany.
ssAlso at Department of Physics, Isfahan University of Technology, Isfahan, Iran.
ttAlso at Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran.
uuAlso at Department of Physics, University of Science and Technology of Mazandaran, Behshahr, Iran.
vvAlso at INFN Sezione di Bari, Universit`a di Bari, Politecnico di Bari, Bari, Italy.
wwAlso at Italian National Agency for New Technologies, Energy and Sustainable Economic Development, Bologna, Italy.
xxAlso at Centro Siciliano di Fisica Nucleare e di Struttura Della Materia, Catania, Italy.
yyAlso at Scuola Superiore Meridionale, Universit`a di Napoli Federico II, Napoli, Italy.
zzAlso at Universit`a di Napoli ’Federico II’, Napoli, Italy.
aaaAlso at Consiglio Nazionale delle Ricerche—Istituto Officina dei Materiali, Perugia, Italy.
bbbAlso at Riga Technical University, Riga, Latvia.
cccAlso at Consejo Nacional de Ciencia y Tecnología, Mexico City, Mexico.
dddAlso at IRFU, CEA, Universit´e Paris-Saclay, Gif-sur-Yvette, France.
eeeAlso at Institute for Nuclear Research, Moscow, Russia.
012002-32
SEARCH FOR RESONANCES DECAYING TO THREE W …
PHYS. REV. D 106, 012002 (2022)
fffAlso at National Research Nuclear University ’Moscow Engineering Physics Institute’ (MEPhI), Moscow, Russia.
gggAlso at Institute of Nuclear Physics of the Uzbekistan Academy of Sciences, Tashkent, Uzbekistan.
hhhAlso at St. Petersburg Polytechnic University, St. Petersburg, Russia.
iiiAlso at University of Florida, Gainesville, Florida, USA.
jjjAlso at Imperial College, London, United Kingdom.
kkkAlso at P.N. Lebedev Physical Institute, Moscow, Russia.
lllAlso at California Institute of Technology, Pasadena, California, USA.
mmmAlso at Budker Institute of Nuclear Physics, Novosibirsk, Russia.
nnnAlso at Faculty of Physics, University of Belgrade, Belgrade, Serbia.
oooAlso at Trincomalee Campus, Eastern University, Sri Lanka, Nilaveli, Sri Lanka.
pppAlso at INFN Sezione di Pavia, Universit`a di Pavia, Pavia, Italy.
qqqAlso at National and Kapodistrian University of Athens, Athens, Greece.
rrrAlso at Ecole Polytechnique F´ed´erale Lausanne, Lausanne, Switzerland.
sssAlso at Universität Zürich, Zurich, Switzerland.
tttAlso at Stefan Meyer Institute for Subatomic Physics, Vienna, Austria.
uuuAlso at Laboratoire d’Annecy-le-Vieux de Physique des Particules, IN2P3-CNRS, Annecy-le-Vieux, France.
vvvAlso at Şırnak University, Sirnak, Turkey.
wwwAlso at Near East University, Research Center of Experimental Health Science, Nicosia, Turkey.
xxxAlso at Konya Technical University, Konya, Turkey.
yyyAlso at Piri Reis University, Istanbul, Turkey.
zzzAlso at Adiyaman University, Adiyaman, Turkey.
aaaaAlso at Necmettin Erbakan University, Konya, Turkey.
bbbbAlso at Bozok Universitetesi Rektörlügü, Yozgat, Turkey.
ccccAlso at Marmara University, Istanbul, Turkey.
ddddAlso at Milli Savunma University, Istanbul, Turkey.
eeeeAlso at Kafkas University, Kars, Turkey.
ffffAlso at Istanbul Bilgi University, Istanbul, Turkey.
ggggAlso at Hacettepe University, Ankara, Turkey.
hhhhAlso at Istanbul University—Cerrahpasa, Faculty of Engineering, Istanbul, Turkey.
iiiiAlso at Ozyegin University, Istanbul, Turkey.
jjjjAlso at Vrije Universiteit Brussel, Brussel, Belgium.
kkkkAlso at School of Physics and Astronomy, University of Southampton, Southampton, United Kingdom.
uuuuAlso at Georgian Technical University, Tbilisi, Georgia.
vvvvAlso at Sinop University, Sinop, Turkey.
wwwwAlso at Erciyes University, Kayseri, Turkey.
xxxxAlso at Institute of Modern Physics and Key Laboratory of Nuclear Physics and Ion-beam Application (MOE)—Fudan University,
llllAlso at Rutherford Appleton Laboratory, Didcot, United Kingdom.
mmmmAlso at IPPP Durham University, Durham, United Kingdom.
nnnnAlso at Monash University, Faculty of Science, Clayton, Australia.
ooooAlso at Universit`a di Torino, Torino, Italy.
ppppAlso at Bethel University, St. Paul, Minneapolis, USA.
qqqqAlso at Karamanoğlu Mehmetbey University, Karaman, Turkey.
rrrrAlso at United States Naval Academy, Annapolis, Maryland, USA.
ssssAlso at Ain Shams University, Cairo, Egypt.
ttttAlso at Bingol University, Bingol, Turkey.
Shanghai, China.
yyyyAlso at Texas A&M University at Qatar, Doha, Qatar.
zzzzAlso at Kyungpook National University, Daegu, Korea.
012002-33
| null |
10.1057_s41287-023-00576-y.pdf
| null | null |
The European Journal of Development Research (2023) 35:323–350
https://doi.org/10.1057/s41287-023-00576-y
SPECIAL ISSUE ARTICLE
Revealing the Relational Mechanisms of Research
for Development Through Social Network Analysis
· Guillaume Fournie2 · Barbara Haesler2 · Grace Lyn Higdon1 ·
Marina Apgar1
Leah Kenny3 · Annalena Oppel3 · Evelyn Pauls3 · Matthew Smith4 ·
Mieke Snijder1 · Daan Vink2 · Mazeda Hossain3
Accepted: 6 December 2022 / Published online: 25 January 2023
© The Author(s) 2023
Abstract
Achieving impact through research for development programmes (R4D) requires
engagement with diverse stakeholders across the research, development and policy
divides. Understanding how such programmes support the emergence of outcomes,
therefore, requires a focus on the relational aspects of engagement and collaboration.
Increasingly, evaluation of large research collaborations is employing social network
analysis (SNA), making use of its relational view of causation. In this paper, we use
three applications of SNA within similar large R4D programmes, through our work
within evaluation of three Interidsiplinary Hubs of the Global Challenges Research
Fund, to explore its potential as an evaluation method. Our comparative analysis
shows that SNA can uncover the structural dimensions of interactions within R4D
programmes and enable learning about how networks evolve through time. We
reflect on common challenges across the cases including navigating different forms
of bias that result from incomplete network data, multiple interpretations across
scales, and the challenges of making causal inference and related ethical dilemmas.
We conclude with lessons on the methodological and operational dimensions of
using SNA within monitoring, evaluation and learning (MEL) systems that aim to
support both learning and accountability.
Keywords Social network analysis · Collaboration · Relational · Evaluation ·
Learning · Research for Development
* Marina Apgar
m.apgar@ids.ac.uk
1
Institute of Development Studies, University of Sussex, Library Road, Falmer,
Brighton BN1 9RE, East Sussex, UK
2 Royal Veterinary College, 4 Royal College St, London NW1 0TU, UK
3 London School of Economics, Houghton St, London WC2A 2AE, UK
4 Edinburgh Napier University, Sighthill Campus, Sighthill Court, Edinburgh EH11 4BN, UK
Vol.:(0123456789)324
M. Apgar et al.
Résumé
Pour que les programmes de recherche pour le développement (R4D ou Research for
Developmement en anglais) aient un impact, il faut un engagement entre diverses
parties prenantes dans les domaines de la recherche, du développement et des poli-
tiques. Il est nécessaire de se concentrer sur les aspects relationnels de l’engagement
et de la collaboration si l’on souhaite comprendre la façon dont ce type de programme
permet l’émergence de résultats. L’évaluation des grands consortia de recherche
utilise de plus en plus fréquemment l’analyse des réseaux sociaux (SNA ou social
network analysis en anglais) en appliquant sa vision relationnelle de la causalité.
Dans cet article, en vue d’explorer son potentiel en tant que méthode d’évaluation,
nous utilisons trois applications d’analyse des réseaux sociaux au sein de grands pro-
grammes R4D similaires dans le cadre de notre travail d’évaluation de trois pôles
interdisciplinaires du Fonds de recherche sur les défis mondiaux. Notre analyse
comparative montre que l’analyse des réseaux sociaux peut révéler les dimensions
structurelles des interactions au sein de ces programmes et permettre d’apprendre
comment les réseaux évoluent dans le temps. Nous menons une réflexion quant aux
défis communs qui émanent de ces cas, y compris la gestion de différentes formes
de biais qui résultent de données de réseau incomplètes, de multiples interprétations
sur des échelles différentes et les défis liés au fait d’établir une inférence causale et
les dilemmes éthiques connexes. Nous concluons par des leçons sur les dimensions
méthodologiques et opérationnelles de l’utilisation de l’analyse des réseaux sociaux
dans les systèmes de suivi, d’évaluation et d’apprentissage (SEA) qui visent à soute-
nir à la fois l’apprentissage et la redevabilité.
Introduction
Research for development programmes (R4D) aim to put research at the service of
solving intractable development challenges, and often have a focus on improving
livelihoods of marginalised or excluded populations. Achieving development out-
comes for these populations requires engagement with diverse stakeholders across
the research, development and policy divides. Relationships between partners within
R4D networks are central mechanisms for shaping activities as well as engagement
and impact strategies through collaboration (Temple et al. 2018). Outcomes emerge
from these interactions, leading to uncertainty in their pathways to impact (Jacobi
et al. 2020; Maru et al. 2018; Thornton et al. 2017). Understanding if and how R4D
programmes support the emergence of outcomes, therefore, requires a focus on the
relational aspects of engagement and collaboration.
In the case of the Global Challenges Research Fund of the UK the funder, UKRI,
set the ambition for the portfolio of R4D programmes well beyond the delivery of
world class research, and included partnerships between the UK and the Global
South as a desired outcome, requiring strong networks to be built between diverse
stakeholders (Barr et al. 2019).1 The scale of the GCRF portfolio (initially proposed
1 https:// www. ukri. org/ our- work/ colla borat ing- inter natio nally/ global- chall enges- resea rch- fund/.
325
at £1.5billion) embracing R4D programme as network building initiatives, empha-
sising collaboration and learning across the research and development sectors, cre-
ated an unprecedented opportunity to deepen understanding of the relational mecha-
nisms that contribute to achieving outcomes and impact.
In this paper, we explore methodologies from within GCRF programmes used
in evaluating them as network building initiatives. We focus on the use of social
network analysis (SNA) as one tool in an R4D methodological repertoire. Although
SNA alone is not sufficient to fully understand the contribution of these complex
programmes to development outcomes and impact, our comparative analysis shows
that it can uncover the structural dimensions of interactions within large R4D pro-
grammes and enable learning about how networks evolve through time. We reflect
on common challenges across the cases including navigating different forms of bias
that result from incomplete network data, multiple interpretations across scales,
the challenges of making causal inference and related ethical dilemmas. We con-
clude with lessons on the methodological and operational dimensions of using SNA
within monitoring, evaluation and learning (MEL) systems with dual aims of sup-
porting both learning and accountability.
SNA Within Complexity‑Aware Evaluation
The uncertainty of impact pathways in R4D programmes, and the need to centre
the network of social actors and their interactions throughout implementation call
for evaluation designs that focus on explaining how change is unfolding in real
time, often referred to as complexity-aware (Bamberger et al. 2015; Douthwaite and
Hoffecker 2017; Gates and Fils‐Aime 2021; Patton 2010). These designs respond
to understanding development programmes, policies and interventions as operat-
ing under conditions of complexity, requiring multiple strategies and engagement
with diverse actors within systems. Programme outcomes emerge from interac-
tions between the parts (relationships between actors) rather than from what indi-
vidual parts achieve alone (Hargreaves 2021; Walton 2016). This is even more evi-
dent when programmes are working in conflict-affected contexts which are highly
dynamic. Such programming requires non-linear evaluation designs to capture
emergent outcomes through the interactions, as well as understanding achievement
of intended outcomes, and emphasize iterative learning as change happens (Apgar
et al. 2020). These new approaches to evaluation offer opportunities for focussing
on the interactions between actors in an R4D network. Within these broad designs,
there is a need to zoom into the structural dimensions of collaboration in order to
then explore causal relationships between networking and intended outcomes, along
impact pathways.
SNA is a recognised interdisciplinary methodological field within social sci-
ence research, building on its sociological and mathematical (graph theory)
roots (Freeman 2000). One of the central offerings of SNA is its relational
view of causation, as Marin and Wellman (2011, p. 13) describe it “social net-
work analysts argue that causation is not located in the individual, but in the
social structure”. Using SNA as a method allows for intuitive visualisations of
Revealing the Relational Mechanisms of Research for Development…326
M. Apgar et al.
relationships as well as tangible measures of “network quality” (Davies 2009).
Analytical approaches for SNA are diversifying (including quantitative, qualita-
tive, and mixed strategies), and combining structural and relational approaches
to causation is leading to greater exploration of its use for evaluation. As a
recent scoping review of the use of SNA in evaluation shows, there is a steady
increase in its application since the turn of the century (Popelier 2018) increas-
ing its potential to support evaluation of complex systems. A number of appli-
cations are relevant to the R4D programming context (e.g. Aboelela et al. n.d.;
Drew et al. 2011; Haines et al. 2011; Honeycutt and Strong 2012) and high-
light both opportunities and challenges. In this paper, we add to this nascent
field through comparative analysis of three experiences of SNA in the context of
large R4D programmes.
Methodology
We use a case study methodology (Yin 1989) to learn within and across three
applications of SNA in similar large interdisciplinary collaborations funded as
Interdisciplinary Hubs by UKRI under the GCRF—we will refer to these R4D
programme as ‘Hubs’. They have sufficient similarity in scale and approach to
evaluation to support cross-case analysis, while each application is necessarily
bespoke to its programme context and needs. Table 1 summarises each of the
cases, showing that evaluation and research questions that drove the use of SNA
in each Hub differ slightly, and consequently, the design of the data collection
tools and analytical strategies also differ (justification for each analytical strat-
egy can be found in the Online Technical Appendix).
The Hubs experienced two major disruptions in the early phases of imple-
mentation that influenced both the network formation processes and relatedly
the application of the SNA method; (i) the COVID-19 pandemic required all
Hubs to adapt to online collaboration and many network forming activities were
no longer possible, and (ii) an unexpected and significant reduction in fund-
ing (due to a reduction in overall UK government funding for ODA) led to loss
of staff and reduced scope of monitoring activities for a 12-month period. Our
focus in this paper, therefore, is necessarily on the initial phases of work. All
three cases include a baseline application of SNA with the shared goal of assess-
ing the way in which collaborations were shaped through the early phases of
implementation, and where possible, how this was influenced by the disruptions
experienced.
We, the co-authors, are the designers and implementers of the SNA within
the Hubs, involved as researchers, MEL specialists, data analysts and pro-
gramme managers. The within-case analysis was carried out by each programme
team independently, following its own strategy, and focussed on what the SNA
revealed about the particular evaluation and learning goals. We were not exter-
nal researchers using SNA to understand the programmes but active users of the
method as a mechanism for programmatic learning through our positions within
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each Hub. The diversity of roles we played has enabled analysis across methodo-
logical, operational and strategic layers of use of SNA as an evaluation method.
Learning from Use of SNA
In this section, we summarise the application of SNA in each case and present the
findings from within-case analysis. Full technical details of the SNA applications in
each Hub are presented in the Online Technical Appendix and illustrate that analyti-
cal strategies were specific to each case. In all cases, we reflect on whether the SNA
findings primarily displayed aspects of project design (controlled) or social collabo-
ration that occurs within the project (uncontrolled) in the early phases of programme
implementation.
One Health Poultry Hub
The One Health Poultry Hub (OHPH) addresses zoonotic disease risks associated
with poultry intensification, with a geographic focus on Bangladesh, India, Sri
Lanka and Viet Nam. To address this challenge and ensure the safe and sustain-
able production of poultry, it aims to promote interdisciplinary and cross-sectoral
dialogue within a One Health environment. Indeed, given the cross-cutting nature of
these issues, strengthening interdisciplinary research capability and competencies,
collaboration and knowledge exchange are core activities. Assessment and monitor-
ing of such attributes over the OHPH’s lifetime form part of the Hub’s MEL frame-
work. Given the programme design we expected that (i) connections between study
countries would be mainly mediated by a small number of UK partners in the early
network, and (ii) the network structure would then become less centralised in the
later study periods, with more direct connections between study country partners.
A key principle driving the evaluation and so the demand by the UK management
team was to produce learning to feed adaptive programme management and encour-
age decentralised network growth.
In this context, we applied SNA methods to investigate the evolution of the
OHPH network, a dynamic partnership network consisting of approximately 120
named researchers from 27 institutions in 10 countries. Specific objectives were (i)
to assess the way in which collaborations were being shaped among its members
during the course of the project; (ii) to characterise the extent to which the emerg-
ing network is dynamically changing across countries and research areas; and (iii) to
investigate characteristics in the development of the OHPH network associated with
factors such as career stage, scientific discipline and gender.
Methods
The SNA was conducted using data from two bespoke online surveys (see full tech-
nical details in the Online Technical Appendix). The first was carried out in March
Revealing the Relational Mechanisms of Research for Development…330
M. Apgar et al.
Fig. 1 Network diagrams showing the OHPH cohort networks (network of those who responded to all
three time periods). Nodes are coloured according to the country in which they were based
2020, one year after the Hub’s launch, and the second in February 2021. All co-
investigators and researchers engaged with the Hub, contracted research staff, post-
graduate students and managerial staff were invited to respond (120 named research-
ers). Respondents were asked to consider their collaborations and activities with all
other Hub members over three periods: P0 (before the Hub’s inception), P1 (dur-
ing the first year of the Hub) and P2 (during the second year of the Hub). In addi-
tion, respondents were asked to indicate their primary scientific discipline or area of
expertise, their primary role in the Hub, gender, and age category.
Findings
While some respondents filled the survey for all three periods, others provided
information for only one or two. For each period, we, thus, considered two sets
of nodes: all respondents who responded within each period (period-specific net-
works), and respondents who completed all three questionnaires (cohort networks)
for which changes in connection patterns over time among the same set of nodes can
be assessed. The comparison of cohort and period-specific networks allows us to
assess whether analytical results are affected by the composition of our sampled net-
works (i.e. selection bias). All networks were undirected: if at least one respondent
reported a collaboration with another respondent, an edge was constructed between
them. The size of the period-specific networks ranged from 58 to 81 nodes (35 to
45% of Hub partners). The cohort networks had 37 nodes (see Online Technical
Appendix for details). About two thirds of respondents were from the study coun-
tries, and almost all others were based in the UK. Most respondents were male, bio-
logical scientists, and at mid to late career stage.
Each period-specific and cohort network showed a high small-world index which
is indicative of high clustering and short path lengths between nodes (Humphries
and Gurney 2008) See Fig. 1. From P0 to P1, the proportion of connected dyads
increased as the OHPH’s project activities started. This increase in connectedness
was distributed among partners, reducing the extent to which a small number of
331
actors acted as mediators between most others. This small-world structure, and the
evolution towards a reduction in centralisation would be expected to promote the
diffusion of information and knowledge, and their equitable access by Hub mem-
bers. Several face-to-face meetings were organised during P0 and P1, including a
whole-Hub conference. Such meetings enabled partners from all disciplines and
partner countries to meet and collaborate directly. This was likely a major driver
in increasing the network connectedness and reducing its centralisation when com-
pared to the pre-inception period. However, the COVID -19 pandemic effectively
eliminated all such opportunities from the OHPH’s second year (which commenced
in March 2020). Similar to other GCRF interdisciplinary Hubs, all OHPH-wide
events, regular project coordination meetings, meetings of working groups leading
the design and implementation of research, impact and learning activities, ad-hoc
workshops, conferences, early career researcher group meetings and other opportu-
nities for interaction were migrated to online platforms. Possibly as a result of this,
we found that the network’s connectedness decreased from P1 to P2 as well as it
becoming more centralised—that is, more connections were mediated by a small
number of highly-connected nodes. This pattern was observed in the period-specific
as well as cohort networks.
We assessed whether the centrality of a node was associated with its attributes
(country, discipline, career stage, gender) using multivariable permutation-based lin-
ear models (as in Delabouglise et al. 2017). We considered two centrality measures:
degree (the number of other nodes with which a node was connected) and between-
ness (the extent to which a node lay on the shortest path between two others). For
the period-specific network at P2, there was weak evidence that the average degree
could be lower for study countries than for UK partners, and for women than for
men. Active participation in P2 online events varied depending on internet access,
bandwidth and quality. Not all participants had access to the required IT hardware
when working from home, and it was apparent that online formats made participa-
tion more challenging for partners for whom English is a second language. These
associations were not, however, observed on the cohort network. Betweenness was
not associated with any abovementioned node-level attributes.
We assessed the possible influence of individual respondent factors (country, dis-
cipline, career stage, gender) on the occurrence of edges between any two nodes.
We found that, for all periods and network types, the likelihood of a connection
increased if two partners were from the same country, but decreased if they were
both from different study countries. By the second year of the Hub’s operation (P2),
all UK and 82% of study country partners were engaged in connections between the
UK and study countries, whereas connections across study countries only involved
47% of study country partners. The connectedness was higher among social sci-
entists, mid and late career stage and male partners in the period-specific network.
These associations were not, however, found in the cohort-specific networks. The
design of the OHPH’s research programme, which was initiated in the second year,
was to an extent replicated across the countries in which it was implemented (to
enable standardisation and comparability of outcomes), but required modifications
for each of the study sites to enable specific research questions to be addressed, as
well as incorporating local differences. This required central coordination by the
Revealing the Relational Mechanisms of Research for Development…332
M. Apgar et al.
core research and management team (based primarily in the UK) as well as intensive
collaboration within the site teams. It is likely that this further contributed to cen-
tralisation and compartmentalisation of the network over the P2 period. Moreover,
online meetings might have made it more difficult for participants who may per-
ceive themselves as being lower in the hierarchy of their institution (e.g. early career
researchers) to express opinions or share knowledge.
Reflections on Contributions of SNA for MEL
While SNA has been useful to visualise and assess changes in connectivity and
centrality of the OHPH’s network, care should be taken not to overinterpret these
results. A major limitation in this analysis is the likely selection bias. Only a small
proportion of the total hub partners (between 35 and 45%) took part in the study.
The composition of the respondent groups was likely to be non-representative in
the two surveys, as well as varying between the two surveys. Hence, depending on
the factors which affected participation, some of the results may only be valid for
the group of respondents and not the entire collaborative network, as suggested by
the discrepancies in some analytical results between the cohort and period-specific
networks.
Nevertheless, the implementation of SNA using a repeated annual survey was
found to be helpful to characterise the changing nature of the OHPH network over
its lifetime, and provide insights into the dynamic processes and factors (some of
which are external) which influence this. It allowed the Hub to assess whether the
network structure was evolving towards the emergence of desirable characteris-
tics, such as a reduced UK-focus centralisation, increased interactions across study
countries and disciplines and reduced influence of one’s career stage and gender on
node centrality. Although the limitations mentioned previously imply that the scope
for SNA alone to explore or quantify such nuanced or complex issues is limited, it
should be considered as a tool that can be applied alongside output-based indicator
measurement approaches.
Gender Justice and Security Hub
Gendered political, economic and social injustices shape the outbreak and dynamics
of conflict; war itself involves violence against women and girls as well as violations
of other human rights; and redress from the gendered harms of war is intimately
connected to the establishment of a lasting and just peace. In short, gender is a fun-
damental web of social relations through which justice and security are mediated.
The Gender, Justice and Security Hub (GJSH) responds to this challenge through
bringing together 121 members across 42 partner organisations from a variety of
333
disciplinary perspectives, skill sets, career stages and geographic locations—with
Afghanistan, Colombia, Kurdistan-Iraq, Lebanon, Sierra Leone, Sri Lanka and
Uganda as focus countries and 17 more in which project work takes place. It aims
to achieve the creation and growth of a network of academics, activists, practitioners
and policymakers to advance progress towards gender justice and inclusive security
in conflict-affected societies.
A central component of the Hub’s MEL plan was tracking whether and how
network collaborations and connections develop and change over time.. A quan-
titative social network analysis was used to understand how collaborations were
being shaped during the course of the project so that they could produce learning
to inform programme adaptation. The study was to be applied at every year of the
Hub’s lifetime (2020–2024); however, due to the ODA funding cuts, we only report
on the first round of the survey in this paper. The objectives of the SNA were (i) to
map the Hub network in order to visualise its overall structure, including density
and strength of connections between members; (ii) to document how network con-
nections change in number and strength over time; (iii) to identify patterns of con-
nections within the network by attributes (by stream, career stage, geography, etc.)
and (iv) to facilitate introductions among Hub members to improve the number and
depth of collaborative relationships within the Hub. The expectation was that the
Hub would be a fairly centralised network in its early stages given that the setting
up of the Hub-level structure was run by a central Management Impact Commu-
nications Administration (MICA) team based in the UK and the Executive Group,
consisting of 12 Co-Directors leading six research streams.2 The Hub activities were
designed to strengthen and expand connections over time between Hub members
who are not in the core group during the initial setting up period, leading to a less
centralised network structure.
Methods
Data were collected between June and December 2020. Our sampling framework
included all individuals associated with the GJSH at the time of the study (121
individuals). This included individuals directly or indirectly involved with the Hub
research and advocacy-related activities (e.g. administrative staff, research partners,
management, activists and Hub Champions). Nearly half (45%) of GJSH members
completed the full survey. (See further methodological details in the Online Techni-
cal Appendix).
Findings
The analysis shows that one year after the establishment of the Hub, it was a mildly
centralised network whereby a small number of actors at the centre of the network
2 The six research streams are thematic areas of work (Law and Policy Frameworks; Livelihood Land
and Rights; Masculinities and Sexualities; Methodological Innovation; Migration and Displacement;
Transformation and Empowerment).
Revealing the Relational Mechanisms of Research for Development…334
M. Apgar et al.
Fig. 2 Network diagram showing all GJS Hub country networks
Fig. 3 Network diagram showing all GJS Hub stream networks
have a large number of connections across the Hub, and a majority have a small
number of connections across the network. We further looked at whether actors with
similar levels of connectivity are more likely to connect with each other or if it var-
ies depending on their centralisation (e.g. the core group has a lot of ties to less well
connected actors but they do not connect well with each other). We found that the
central group is very well connected across the entire Hub but the individuals outside
the core group are not well connected to each other. This matches the expectation
335
of how the setting up of the Hub would develop with the UK-based MICA team
(see red dots in Fig. 2 and blue dots in Fig. 3) at the core. This small group of peo-
ple (high degree actors), which also includes most members of the Executive Group
(half of which are based in the UK), have connections to almost every individual in
the network. We can see this confirmed in Fig. 2, which segments the network by
country affiliation, clearly showing a core (red) group of UK-based Hub members.
These findings confirm our initial design.
Regarding connections within the different thematic streams of the Hub, mem-
bers who responded to the survey had more connections external to their stream than
within (see Fig. 3). This is most likely the result of streams having been established
by the core group of the Hub, rather than being pre-existing research networks who
joined the Hub as a whole. At the time of the survey, streams had only met in person
once, at the Hub Convention in January 2020.
Although we have only conducted one round of the survey so far, respondents
could indicate if they had a connection with another member prior to the inception
of the Hub and if so, how their relationship had changed over the last year of their
joint Hub membership and what was driving this change. We found that 72% of tie
changes were driven by the Hub (31% through the Convention and 41% through
other Hub-related interactions). Roughly 60% of Hub members attended the in-per-
son Convention in Sri Lanka in January 2020 and we would expect this to be the
major event that introduced a lot of people to each other. In fact, 66% of respondents
first met through a Hub-related activity. Apart from the Convention, members of
the Hub mostly interact through their project work on the Hub, which most likely
accounts for most of the ‘other Hub-related’ tie changes, but also, in the case of
members of the management team and executive group, through regular meetings.
Many members of the executive group were instrumental in putting together the ini-
tial application for the Hub and setting up its operational structures so we would
expect their relationships to have strengthened during the first year of the project.
Reflections on Contribution of SNA for MEL
The interpretation of SNA results is based on several assumptions from network
theory. The most important one being that it is a good thing if individuals in a net-
work have many ties and are well connected to other members of the network. This
assumes that everyone wants or should want to connect, network and collaborate. It
does, in the first instance, not take into account whether there might be disciplinary,
gendered, or geographical differences, which might, for example, encourage work in
small, closely knit teams—maybe because extremely sensitive work is taking place
in conflict contexts—rather than across the entire Hub. Some of the projects e.g.
in Colombia, Iraqi Kurdistan, Sierra Leone, or Uganda rely on extensive networks
across the Hub for comparative work and policy influence nationally and with inter-
national organisations—we would expect researchers and partners on these projects
to be as connected as possible across the network. Other projects, e.g. in Afghani-
stan or Sri Lanka, due to the sensitivity of the work on gender in Afghanistan (even
before the Taliban takeover in August 2021), or on human rights violations and post-
conflict issues in Sri Lanka, might look to connect extensively with communities
Revealing the Relational Mechanisms of Research for Development…336
M. Apgar et al.
they are embedded and limit their interaction with foreign researchers and institu-
tions as it might increase their exposure.
There are two stages of growing this network over the course of the Hub. First,
the Hub itself as a network had to be established by facilitating connections and
collaborations between different members of the Hub who are from different
geographies, disciplines and professions. In the early years of the Hub, we would
likely expect a fairly centralised network structure with the Principal Investiga-
tor (PI), Executive Group and the Management, Impact, Communication and
Administration (MICA) team at its core. Those are the actors who were involved
in the application stage and set up the governance structure of the Hub. The PI,
MICA team and half of the Executive Group are Global North based and one
aim of developing the Hub as a network is to decentralise it and facilitate more
South-to-South connections. Hub members come from a variety of disciplinary
perspectives, skill sets, career stages and geographic locations. The Hub model
was designed to encompass feminist principles, which also includes an empha-
sis on collaborative working and ensuring that opportunities, including network-
ing opportunities, are equitably distributed among all Hub members. Since the
inception of the Hub and especially in preparation for and during the in-person
Convention in January 2020, almost all communication happened over Microsoft
Teams, a cloud-based team collaboration software. It was used as a collabora-
tive platform for whole-Hub interaction, including to communicate information
from the central team, but also for stream- and project-level interaction with
some projects using it as their main platform for data storage and virtual meet-
ings. It also allowed for the quick creation of new communication channels when
members expressed an interest, e.g. in arts-based approaches. Since Teams was
already established as a platform for communication and all Hub members had
access to it prior to the COVID-19 pandemic, the move to online-only interac-
tion was fairly smooth. During the pandemic, Conventions were moved online
and included cross-project collaborations and presentations. In the later stages of
the Hub and after the SNA was completed, we have moved to co-creating outputs
with Hub members from different projects, streams and countries such as books,
papers, documentaries, and trainings.
The SNA results allowed for the mapping of emerging relationships across the
network and were designed to trace the development of relationships between and
within groups including Global North and Global South partners, Early Career
Researchers (ECRs) and more senior members, and practitioners and academics.
Importantly, the SNA study aimed to provide tangible evidence on how networks
like the GJS Hub can generate new insights through relationship development. The
SNA would have been an important addition to surveys and anecdotal evidence in
deciding where to target efforts of partnership building (as per objective iv). How-
ever, in the absence of this longitudinal evidence due to the interrupted funding
mid-way, the ability to do this in an adaptive and tailored way was significantly
hampered.
The second phase is to grow the Hub’s connections externally and link them
to existing and emerging international networks and communities of practice on
Women, Peace and Security, peacebuilding, International Law, and development.
337
It would have been possible to identify which Hub members would benefit from
a closer connection with external networks—that could then be fostered—and
which networks to tap into at a Hub level to create the most impact, especially
on a policy level. The connections built with these other networks are ultimately
what will facilitate local and global policy change and institutional reform to
advance gender justice and sustainable peace, building on new knowledge and
advocacy networks, which amplify marginalised voices across different conflict
contexts.
Tomorrow’s Cities Hub
In a rapidly urbanising world, 60% of the area expected to be urban by 2030
remains to be built, opening a huge opportunity to build risk out of tomorrow’s
cities. An initial assessment of the challenge showed that the disaster risk reduc-
tion community (including scientists, policymakers, development practitioners
and business leaders) is currently operating in disconnected communities of prac-
tice and despite existing policy frameworks (e.g. Sendai Framework) approaches
to disaster risk reduction are focussed on crisis management and not integrated
into urban planning. The Tomorrow’s Cities Hub responds to this opportunity
by working through research and development partnerships in four cities (Kath-
mandu, Nairobi, Istanbul and Quito). Its aim is to co-produce interdisciplinary
research on multi-hazard risk working with stakeholders in order to influence dis-
aster risk reduction policy and practice.
The co-produced research is implemented through a network consisting of 174
individuals from 54 partners including academic institutions, research centres,
government departments and NGOs focussed in the four core cities. Given the
aim of the Hub, strengthening capacity for interdisciplinary working as well as
facilitating collaboration between researchers and stakeholders are critical to suc-
cess. Monitoring how the hub network evolves through time, therefore, is a core
component of the hubs MEL strategy. The drive for use of SNA as a tool for
monitoring evolution of the hub network came from the evaluation and learning
team, as part of a theory-based evaluation design. The intended users of the find-
ings were the managers at central Hub level as well as in the city teams who were
responsible for building an enabling environment for collaboration.
SNA was used as a baseline to understand the extent to which cross-collabora-
tion was occurring across different attributes of individuals including their gen-
der, career level and location in the initial phases of implementation. The expec-
tation based on the Hub design was for an initial centralised network given the
central UK-based leadership team had built the proposal through their own rela-
tionships with partners based in cities. Given the Hub’s commitment to equitable
partnerships and to learn across the city contexts, we expected the network to
evolve towards a less centralised structure through time. Intentionality in equita-
ble partnerships and the potential of power asymmetries that funding structures
across partners of the global North and South could reproduce the management
Revealing the Relational Mechanisms of Research for Development…338
M. Apgar et al.
Fig. 4 Network diagram showing all TC Hub geographic location networks
and research structures were built to enable work across UK and cities. Collabo-
ration was encouraged through formation of cross-hub thematic research groups,
as well as building and supporting a network of ECRs to co-produce research
outputs. Regular all hub meetings were convened online and plans for the first in-
person all hub conference in 2021 was curtailed by the pandemic.
Methods
Data were collected between February and March 2021, through two databases.
An administrative database with generic information about collaborators in the hub
and an online survey through the SumApp platform generated a specialised sur-
vey to capture and visualise connections with other collaborators in the network.
Our sampling framework included all individuals associated with the TC project at
the time of the study. The total sample was 174 individuals and 53% made at least
one connection (47% only show incoming ties and so we assume did not complete
the survey) (for full details see Online Technical appendix). Self-identified female
workers are slightly over-represented in the respondents (41% in respondents versus
23% non-respondents) which could account for more ties for women across the net-
work, while ECRs are also slightly over-represented (47% respondents versus 37%
non-respondents) which could also explain higher observed connections for ECRs
overall.
339
Findings
The analysis shows that after the establishment of the TC project, the network is
fairly centralized. UK-based collaborators tend to be at the centre of the network and
have a large number of connections across different locations—they are high degree
actors. Yet, UK-based collaborators are also connected amongst themselves (purple
nodes in Fig. 4). For example, connections realised (expressed as density) is twice
as high among UK-based collaborators compared to those that work in LMIC coun-
tries. This shows that overall collaborations are initiated by the UK as the central
hub whereby the four city networks tend to be connected through UK-based and
cross-city affiliated individuals (shown in Fig. 4).
We then analysed collaborations between key attributes of location, career stage,
gender and disciplines. We found that on average, individuals have 13 connections
with those based at different locations. Yet only 9% (or an average of 1.2 connec-
tions) of those occur between LMIC-based collaborators (South–South collabora-
tion). Collaborations are higher between UK-based members than between LMIC
located members (an average of 9.5 versus 4.2 connections, respectively). It is more
likely for those located in the same location to collaborate if they have a common
contact. These findings were expected given the project design. The UK represents
the biggest segment with 80 collaborators who are linked to one or more cities
and organized around disciplinary/thematically focussed groups that co-designed
research within and across disciplines. A greater extent of shared contacts within
members in similar locations may further reflect historical collaborations and con-
textual knowledge held prior to establishing the new TC network.
Collaboration also occurs among and across career stages. Peer-to-peer col-
laboration is more frequent overall among those at mid and senior career stages
(an average of 17) that among those at early career stage (an average of 12). This
could be explained in part by the fact that most of the 77 ECRs were independently
recruited new hires in the TC project and so did not have existing connections to
each other. Yet when looking at location, this pattern is different. For those based
in the UK, peer-to-peer connection is higher among mid and senior career mem-
bers (16 connections on average) than among ECRs (6 connections on average). And
cross-career level collaborations are 8 connections on average. In LMIC locations,
however, peer-to-peer collaboration among ECRs is more common (7 connections
on average), while peer-to-peer collaboration among mid and senior researchers is
lower (average of 4). Cross-level collaborations are 7 connections on average. What
this shows is that peer-to-peer collaboration of ECRs is driven largely by their loca-
tion as is illustrated in Fig. 5.
Lastly, regarding collaboration across genders, there are more connections among
male collaborators overall (17 versus 12 among women). Yet, there is also col-
laboration between men and women (an average of 13 connections) overall. Again
we found the pattern differed depending on location. Men located in the UK are
more likely to collaborate with other men as compared to men located in LMIC.
For instance, collaboration between men located in the UK is higher (on average
by 6 connections) than between women located in the UK. In LMIC, this is overall
Revealing the Relational Mechanisms of Research for Development…340
M. Apgar et al.
Fig. 5 Network diagram showing collaboration among Early Career Researchers based outside of the UK
for TC Hub
more balanced. This suggests that gender influences how much members collaborate
within their peer group.
Reflections on Contribution of SNA for MEL
This application of SNA was part of a staged and modular theory-based evalua-
tion design that aimed to explore a core assumption of the hub’s theory of change
around interdisciplinary working and equitable partnerships. The baseline appli-
cation described the network at the outset in order: (i) to identify opportunities to
enhance interdisciplinary and equitable partnerships as part of adaptive programme
management; and, (ii) to inform impact evaluation design to assess the contribution
of network collaborations to achieving intended shifts in urban planning (evaluating
relationships beyond the hub).
Visualization of the network overall and specific visual patterns in collaboration
did enhance understanding of how the initial project design is reflected in the social
fabric of collaboration. The fairly centralised initial network built confidence in the
initial design with a large UK-based central team, and an explicit intent to build city-
focussed research partnerships. While we did not have an ‘ideal network’ structure
against which we intended to monitor the evolution of the network, we did anticipate
that through time we would see greater collaboration between the non-UK-based
members, in line with the intention to build equity in the partnership.
341
The analysis also enabled observation of unanticipated dynamics—such as gen-
dered dynamics of collaboration between UK and non-UK-based individuals, and
the marked difference between the way ECRs and more senior individuals are con-
nected across the network. These structural patterns revealed would need to be
deepened through focus groups with hub collaborators to explore the drivers behind
them and identify potential programme adaptations in line with the goal of moving
towards a network structure with greater connections across more members. Visual-
ising these patterns could also support existing conversations within the Hub around
undertaking gender bias and power training as signalled by at least one of the city
leadership teams as a priority. In this way, the application of SNA has shown poten-
tial to produce learning that could influence the next phases of work to support col-
laboration in the Hub.
The application of these findings for decision-making processes, however,
depends in large part on the quality of data and resulting findings. Data limitations
are a common challenge in SNA (e.g. Wasserman and Faust 1994; Newman 2003)
due to its exponential growth of observations and complexity. Further, SumApp
required respondents to scroll through a list of all 174 people in the Hub which
could result in biases, e.g. individuals mentioned towards the end could be less fre-
quently selected due to response fatigue. This and other sources of response biases
(which are common in SNA) influence the extent to which these findings constituted
actionable learning for the Hub.
Findings from Cross‑Case Analysis
As R4D programmes, all three Hubs set out to intentionally build collaboration
across disciplines, geographies and hierarchies. All cases share the dual (and inter-
connected) objectives of (i) using SNA to monitor progress of their intended designs
through describing and tracking how collaborative relationships change over time
across significant attributes, and (ii) using the visualisations and resulting appre-
ciation of the structure of the network to influence its development in intentional
ways—to support ‘network weaving’ (Vance-Borland and Holley 2011). Our experi-
ences are from the early phases of implementation. While we do not discuss result-
ing adaptations, we do reflect on the opportunities for responding to learning that
emerged when using SNA as a learning and an evaluation tool.
Data Challenges and Respondent Bias
The practical challenges of data collection and analysis in SNA are well described
in the literature and relate, among other factors, to the extensive time required to
respond to lengthy surveys leading to incomplete data sets with consequent implica-
tions for rigorous understandings of whole networks (e.g. (Newman 2003; Penuel
et al. 2006; Popelier 2018). Particularly relevant to applications within evaluation
are threats to construct validity that result from ambiguity in how relational attrib-
utes are collected (how the type and strength of collaboration is described) and
Revealing the Relational Mechanisms of Research for Development…342
M. Apgar et al.
relatedly, how these are interpreted (Popelier 2018). Incomplete datasets can lead to
weak ties being under reported, influencing the overall validity of findings.
Consequently, perhaps the most important step in the design of a SNA study
in the context of evaluation is defining the ties, or connections, at the outset.
This requires clarity of the aspects of collaboration that are of interest to the
study, as well as knowledge of how these will be interpreted by respondents. All
our cases are large networks (with over 100 members), and given the novelty of
using SNA to explore relational aspects of research projects, choosing where
to focus had to align with key evaluation and learning demands. As shown in
Table 1, the relational attributes used in each case were driven by the specific
and different evaluation objectives of each—OHPH mapped Hub-related collab-
orations (including research, outreach, administrative activities), GJSH mapped
both the strength (light, good, strong, none) and origin of connections (non-Hub,
Hub, specific Hub activity), while TCH mapped both formal and informal inter-
actions within the hub through strengths (in four categories).
OHPH members were asked with whom they had worked on a range of activi-
ties over pre-defined periods of time. However, the interpretation of the level of
engagement which qualifies as “working together”, as well as the definition of a
specific task is likely to vary among respondents. In the TCH case, four catego-
ries or strengths of collaboration were used, but interpretations of each cannot
be assumed to have been uniform. Given the size of the partnerships and the
period of time covered by each survey, especially in the case of OHPH, recall
bias cannot be excluded. Attempts were made to minimise them by including the
list of all members in the questionnaire (and TCH and GJS included photos), so
respondents were less likely to forget collaborators.
In spite of these efforts, unsurprisingly, missing data was a challenge in all
three cases. This was dealt with in different ways. OHPH avoided under estimat-
ing connections by examining only partial networks, TCH used the reconstruc-
tion method (Liu et al. 2019; Stork and Richards 1992) and assumed incoming
ties are reciprocal for non-respondents in order to examine the full network, and
GJSH examined both the full network (including non-respondents) and the par-
tial network using the listwise approach (Pepinsky 2018). Complex model-based
approaches, such as Baysean models, are gaining popularity, but are often dif-
ficult to implement (requiring a complex model to be specified and estimated),
and can result in introducing other forms of bias by imputing edges that over
generalise the tendencies observed in other parts (i.e. information rich areas) of
the network (Smith et al. 2022). In the context of SNA for learning, these more
complex modelling strategies were not considered worth the additional time and
effort. As we discuss later, there are inherent limits to what SNA can reveal on
its own, and as part of broader MEL strategies, triangulation with other methods
we posit is a better approach to mitigating the challenge of missing data.
An obvious yet not insignificant response to overcoming the challenge of
incomplete network data is to invest early in strategies to increase the proportion
of Hub members participating in the survey. The TCH chose to use the SumApp
survey in order to turn the SNA process into an explicit network weaving exer-
cise, with the assumption that this would motivate hub members to respond.
343
SumApp creates a personal profile for each hub member with a unique URL
and users can visualise the network real time as respondents update their con-
nections (while the application is ‘live’). Feedback from ECR members sug-
gests that this was indeed motivating for many of them because it aligned with
their motivation to network within a large hub. Yet this did not necessarily hold
true for other members of the Hub. Understanding what might motivate greater
response, therefore, is an important step in planning SNA as a learning and net-
work weaving tool.
Challenges of Interpretation
The challenge of confirmation bias in interpreting SNA findings in the context of
programme evaluation is well described in the literature (e.g. (Popelier 2018)).
Critics argue that limited ability to objectively interpret the results may lead to an
interpretation which aligns with the investigators’ (and/or programme managers’)
preconceived ideas rather than taking the data at face value, or indeed, pretend-
ing that an ‘objective’ interpretation exists. This follows a gold standard view in
evaluation that confirmation bias is to be avoided at all costs. In contrast, employ-
ing complexity-aware evaluation designs, we were working within programmes
implementing SNA as a participatory and learning-oriented evaluation method,
working with (rather than controlling for) the experiences and aspirations of those
involved in programme design (Apgar and Allen 2021). Interpretation of the find-
ings, therefore, required the situated experiences of programme implementers and
we embraced their interpretations (which are inherently biased) as an important
explanatory device.
As (Durland and Fredericks 2005) note the importance of specific network
information should be seen as relative to programme needs at that particular time,
embracing internal interpretation as the principle goal. In all three cases, the
baseline application of SNA served as a useful empirical check on how the initial
programme design was reflected in the social fabric of collaboration. The network
structures that became visible at the initial phase were interpreted based on our
expectations given the intentional designs. Table 2 provides a comparative view
across the three cases. In all three cases, the network structures revealed in the
early stages of the Hubs matched the expectation of centralised structures, based
on their set up driven by the parameters of the funding set by UKRI. In all cases
UK-based research leaders built the Hub networks initially through contracting
partners and researchers based in countries of focus or operation.
As others have shown, it is the repeated applications of SNA that enables a
picture of evolution and change through time and brings it to life as a monitor-
ing tool (Aboelela et al. n.d.; Provan et al. 2005). Yet as social networks are liv-
ing and constantly evolving systems, we expect that they will organically shift in
time and some of their dynamics will be unpredictable. This leads us to ask—
how should we interpret the changes as part of monitoring the network? Some
argue that lack of an ideal network structure means there cannot be standard
Revealing the Relational Mechanisms of Research for Development…344
M. Apgar et al.
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345
benchmarks for judging performance through use of SNA and this weakens its
evaluation potential (e.g. (Haines et al. 2011)).
Our intention was not to monitor progress against an ideal structure, but rather,
to iteratively learn with and as the structure evolves. But assumptions from net-
work theory are, often implicitly, applied. For example, assuming that a network
is ‘stronger’ when individuals have many ties and are well connected to other
members of the network. In large networks, such as R4D collaborations, however,
it may in fact be that specialisation, or particular geographic clustering within the
network is optimal for achievement of desired goals. Interpretation of the struc-
ture, then, must follow the intention of the network, which in turn is always situ-
ated in a particular moment and context. Our cases illustrate such a situated con-
textual approach to using SNA.
In all cases, we held assumptions about a desirable evolution of the hub struc-
ture in line with the stated goals of equity across specific hierarchies of power
(such as gender, Global North-Global South, career level) (see Table 2 for
observed versus expected network structures). These assumptions are aligned
with the theory of change of the GCRF funding mechanism overall and the pro-
grammes specifically. The OHPH interpreted their findings based on an assumed
evolution along a spectrum—a hypothetical star network (with the PI being
connected to everyone and no link between others) at one end, and a complete
network (with everyone connected to each other) at the other end. Indeed the
SNA across time periods revealed an unexpected surge in centralisation in the
last study period which suggested movement in the opposite direction. These
observed trends in network development could be related to the move from face-
to-face to online interactions due to COVID-19, adding some confidence that they
are reflective of ‘actual’ processes. This finding can help to identify individuals
between which collaborations should be fostered, and support thinking further
about how the hub could recover post-pandemic to continue to build collabora-
tion in the ways it intended.
The GJSH captured connections prior to the inception of the Hub (retrospec-
tively) and then 16 months into the project (time of the survey). This showed how
the Hub was set up and how members started to connect. The importance of in-
person all-Hub Conventions was underlined as it was both a key event where peo-
ple first met each other as well as a key driver of strengthening connections. Over
the course of the pandemic, similar to the OHPH, Conventions moved online
and while this continued the opportunity to meet officially, it greatly reduced
the chances for spontaneous interactions which are most likely to strengthen
relationships.
What our experiences suggest is that whether implicit or explicit, the programme
designs were manifest through the baseline and subsequent application in a way that
made them visible. This offered the opportunity to challenge earlier assumptions
and to identify hidden or unexpected dimensions that warrant further exploration,
as well as mechanisms to nudge the network in desirable directions. In the case of
the TCH baseline, we saw that even in the early stages some unexpected dynam-
ics were revealed—such as collaborations between female members based outside
of the UK being greater than for female members based in the UK. The TCH had
Revealing the Relational Mechanisms of Research for Development…346
M. Apgar et al.
procedures for reflecting on the ways in which power imbalances influenced internal
team dynamics and how equitable decision making was. This was part of a broader
intention to work in equitable ways (Snijder et al. this issue). Revealing the gendered
dynamics of collaboration could add further weight to the requests of some city
management teams to provide gender sensitivity training to all network members.
It also allowed questioning an underpinning (positivist) premise of ‘more is better’.
Starting with a deliberate project design as we did, network studies as an M&E tool
offer the opportunity to re-evaluate and -classify measures from an aspect of appli-
cability for the ‘ideal function’ rather than ‘ideal structure’ of a network.
Strengthening Causal Inference
The ways in which SNA can support causal inference are still debated within the
evaluation literature, and many applications of SNA still struggle to determine
causal relationships between internal network structure and external network out-
comes. In the context of evaluating R4D programmes, being able to make this
link is important to add weight to SNA as an evaluation method. The structural
paradigm of SNA suggests that structural mechanisms influence how changes
unfold, yet the relational aspects are so many, indeed potentially infinite, that
establishing clear causal links is challenging (Doreian 2001; VanderWeele and
An 2013). A response to this dilemma is to situate the structural analysis within
a contextualized theory about how the causal inference is hypothesized (a causal
theory of change).
As discussed above, all three of our SNA cases were part of broader evalua-
tion designs. While all three are focussed on visualising and describing the ‘inter-
nal’ networks, in TCH and GJSH, the intention (prior to funding cuts) was to
use understanding of how the internal network is working (and evolving through
time), alongside other evaluation research on equitable partnerships to build con-
tribution claims around how the network structure (and ways collaborations are
taking shape across hierarchies and power structures) contributes to intended pro-
gramme outcomes. In the case of TCH, the focus of external interactions is on
influencing the co-production of risk informed urban planning, while in the case
of GJSH, the focus is on the end goal of shifting patriarchal modes of knowledge
production on sustainable peace. In this way, using SNA as a monitoring tool can
not only build a picture of how the internal structure is evolving but also can offer
data points to support theory-based evaluation.
Additional methods are required to enhance interpretation and reveal the mean-
ing given to relations identified and so to crystalise key causal mechanisms for
evaluation to investigate further. Often quantitative SNA is complemented with
qualitative approaches (Hopkins 2017; Kolleck 2016). All three Hubs have mul-
tiple other sources of monitoring data that could be used to supplement the SNA.
TCH, for example, developed outcome case studies for monitoring outcomes, and
implemented a survey on interdisciplinary working to shed light on some of the
patterns revealed. For example, an outcome case study on interdisciplinary work-
ing in Quito evidences how intentional reflection on ways of working and building
347
of interdisciplinary capacities within the team has opened up opportunities for
greater engagement with local partners for multi-hazard risk research. This quali-
tative analysis can support causal claims around how collaboration between team
members from different disciplines (visualised through SNA) which produce
internal outcomes (such as openness to participatory methods) relates to move-
ment along a desired pathway towards equitable outcomes. While SNA is not a
causal methodology, it can provide evidence of collaboration and thus can con-
firm or disconfirm achievement of early and internal desired outcomes in the way
the programme (network) is set up to deliver impact.
Ethical Dilemmas in SNA for Evaluation
Making visible how individuals are interacting with colleagues or partners comes
with ethical challenges and risks if the results are interpreted as judgements of indi-
vidual performance (Kadushin 2005; Penuel et al. 2006). The GCRF Hubs were
funded to intentionally support collaboration across established hierarchies of
power, turning collaborative behaviours into expectations. Anonymization, which is
the standard approach to managing research ethics and minimizing risk to partici-
pants, is often not possible and usually not desirable when using SNA to intention-
ally support network weaving.
The GJS Hub experienced a concern that members might alter how they reported
a connection based on a perception of how socially acceptable that connection might
be. Of course any reported connection is a subjective measure of that individual’s
perception of a relationship but there is still likely to be systematic under- or over-
reporting. For example, it is likely that an ECR might underreport connections with
more senior scholars so as not to assume a ‘strong’ relationship when that percep-
tion might not be reciprocal. Similarly, there might be cultural differences in percep-
tions of relationship strength, where, for example, a US-based member of the Hub
might consistently rate relationships as stronger than UK-based Hub members.
As discussed above, the TCH used the SumApp online tool to support intentional
network weaving which was experienced as motivating for ECRs. On the other hand,
accessibility of all connections to everyone in the Hub might have deterred some
from reporting for similar reasons described for GJSH. Visualising your own posi-
tion in a network that aspires to be collaborative could, therefore, be experienced as
positive or negative depending on how connected you are and how much you value
connection. One advantage is that individual learning, and first person reflection, is
made possible through seeing oneself as part of the network. But this requires net-
work members to value this capability for self-reflections above any concerns they
have about being judged based on their position in a network.
Revealing the Relational Mechanisms of Research for Development…348
M. Apgar et al.
Lessons for Future Use of SNA in Evaluation of R4D Programmes
Across the three cases of SNA in evaluation of large R4D programmes, we have
illustrated that in spite of the challenges with data and interpretation (which are
common to SNA), it is useful as a monitoring tool when used to reflect on under-
lying assumptions about collaboration and resulting network structures. From our
analysis we conclude with three lessons for future use of SNA within evaluation of
R4D programmes.
1. The more explicit assumptions about collaboration are at the outset, the more
useful the empirical view of collaboration revealed is to programme learning. A
contextualized theory of collaboration could be created at the outset to guide the
SNA study. This is in line with Davies’ (2009) call for a theory-based and deduc-
tive approach to SNA in evaluation.
2. Combining SNA with other methods can enhance interpretation and reveal the
meaning given to structural views. This can strengthen causal inference about
relational causal mechanisms making SNA a necessary, but not sufficient method
to evaluate R4D programmes.
3. Navigating the challenges of interpretation and ethical dilemmas requires careful
consideration as well as an enabling institutional and political environment for use
of SNA to support learning. Embedding the interpretation of SNA findings within
participatory learning moments (such as after-action reviews) would strengthen
the use of SNA findings in learning-oriented evaluation design, as suggested by
others (Drew et al. 2011; Durland and Fredericks 2005)
Supplementary Information The online version contains supplementary material available at https:// doi.
org/ 10. 1057/ s41287- 023- 00576-y.
Funding Funding was provided by Natural Environment Research Council.
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License,
which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as
you give appropriate credit to the original author(s) and the source, provide a link to the Creative Com-
mons licence, and indicate if changes were made. The images or other third party material in this article
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ses/ by/4. 0/.
References
Aboelela, S.W., J.A.M. Rn, K.M. Carley, and E.L. Rn. 2007. Social Network Analysis to Evaluate an
Interdisciplinary Research Center. Journal of Research Administration 38: 15.
Apgar, M., and W. Allen. 2021. Participatory Monitoring, Evaluation and Learning: Taking Stock and
Breaking New Ground. In SAGE Handbook of Participatory Research and Inquiry, ed. D. Burns, J.
Howard, and S. Ospina. London: Sage Publications.
349
Apgar, Marina, K. Hernandez, and G. Ton. 2020. Contribution Analysis for Adaptive Management. 14.
Bamberger, M., J. Vaessen, and E. Raimondo. 2015. Dealing with Complexity in Development Evalua-
tion: A Practical Approach. London: Sage Publications.
Barr, J., P. Simmonds, B. Bryan, and I. Vogel. 2019. Inception report—Global Challenge Research Fund
(GCRF) Evaluation—Foundation Stage.https:// doi. org/ 10. 13140/ RG.2. 2. 31983. 89762
Davies, R. 2009. The Use of Social Network Analysis Tools in the Evaluation of Social Change Com-
munications C.pdf. https:// mande. co. uk/ wp- conte nt/ uploa ds/ 2018/ 08/ The% 20Use% 20of% 20Soc
ial% 20Net work% 20Ana lysis% 20Too ls% 20in% 20the% 20Eva luati on% 20of% 20Soc ial% 20Cha nge%
20Com munic ations% 20C. pdf
Delabouglise, A., N. Antoine‐Moussiaux, D. Tatong, A. Chumkaeo, A. Binot, G. Fournié, E. Pilot, W.
Phimpraphi, S. Kasemsuwan, M.C. Paul, and R. Duboz. 2017. Cultural practices shaping zoonotic
diseases surveillance: the case of highly pathogenic avian influenza and Thailand native chicken
farmers. Transboundary and emerging diseases 64 (4): 1294–1305.
Doreian, P. 2001. Causality in Social Network Analysis. Sociological Methods & Research 30 (1):
81–114. https:// doi. org/ 10. 1177/ 00491 24101 03000 1005.
Douthwaite, B., and E. Hoffecker. 2017. Towards a Complexity-Aware Theory of Change for Partici-
patory Research Programs Working Within Agricultural Innovation Systems. Agricultural Systems
155: 88–102. https:// doi. org/ 10. 1016/j. agsy. 2017. 04. 002.
Drew, R., P. Aggleton, P. Boyce, H. Chalmers, C. Maxwell, S. Pachauri, F. Thomas, I. Warwick, and
K. Wood. 2011. Social Network Analysis to Evaluate Organisational Networks on Sexual Health
and Rights. Development in Practice 21 (8): 1062–1079. https:// doi. org/ 10. 1080/ 09614 524. 2011.
590884.
Durland, M.M., and K.A. Fredericks. 2005. An Introduction to Social Network Analysis. New Directions
for Evaluation 2005 (107): 5–13. https:// doi. org/ 10. 1002/ ev. 157.
Freeman, L.C. 2000. Social Network Analysis: Definition and History. New York: Oxford University
Press.
Gates, E.F., and F. Fils-Aime. 2021. System Change Evaluation: Insights from The Rippel Foundation
and its ReThink Health Initiative. New Directions for Evaluation 2021 (170): 125–138. https:// doi.
org/ 10. 1002/ ev. 20462.
Haines, V.A., J. Godley, and P. Hawe. 2011. Understanding Interdisciplinary Collaborations as Social
Networks. American Journal of Community Psychology 47 (1–2): 1–11. https:// doi. org/ 10. 1007/
s10464- 010- 9374-1.
Hargreaves, M. 2021. Bricolage: A Pluralistic Approach to Evaluating Human Ecosystem Initiatives.
New Directions for Evaluation 2021 (170): 113–124. https:// doi. org/ 10. 1002/ ev. 20460.
Honeycutt, T.C., and D.A. Strong. 2012. Using Social Network Analysis to Predict Early Collaboration
Within Health Advocacy Coalitions. American Journal of Evaluation 33 (2): 221–239. https:// doi.
org/ 10. 1177/ 10982 14011 424201.
Hopkins, M. 2017. A Review of Social Network Analysis and Education: Theory, Methods, and Applica-
tions. Journal of Educational and Behavioral Statistics 42 (5): 639–646. https:// doi. org/ 10. 3102/
10769 98617 698111.
Humphries, M.D., and K. Gurney. 2008. Network ‘Small-World-Ness’: A Quantitative Method for Deter-
mining Canonical Network Equivalence. PLoS ONE 3 (4): e0002051. https:// doi. org/ 10. 1371/ journ
al. pone. 00020 51.
Jacobi, J., A. Llanque, S. Bieri, E. Birachi, R. Cochard, N.D. Chauvin, C. Diebold, R. Eschen, E.
Frossard, T. Guillaume, S. Jaquet, F. Kämpfen, M. Kenis, D.I. Kiba, H. Komarudin, J. Madrazo,
G. Manoli, S.M. Mukhovi, V.T.H. Nguyen, and C. Robledo-Abad. 2020. Utilization of Research
Knowledge in Sustainable Development Pathways: Insights from a Transdisciplinary Research-for-
Development Programme. Environmental Science & Policy 103: 21–29. https:// doi. org/ 10. 1016/j.
envsci. 2019. 10. 003.
Kadushin, C. 2005. Who Benefits from Network Analysis: Ethics of Social Network Research. Social
Networks 2 (27): 139–153. https:// doi. org/ 10. 1016/j. socnet. 2005. 01. 005.
Kolleck, N. 2016. Uncovering Influence Through Social Network Analysis: The Role of Schools in Edu-
cation for Sustainable Development. Journal of Education Policy 31 (3): 308–329. https:// doi. org/
10. 1080/ 02680 939. 2015. 11193 15.
Liu, X., L. Li, S. Wang, Z.-J. Zha, D. Meng, and Q. Huang. 2019. Adaptive Reconstruction Network for
Weakly Supervised Referring Expression Grounding. IEEE/CVF International Conference on Com-
puter Vision (ICCV) 2019: 2611–2620. https:// doi. org/ 10. 1109/ ICCV. 2019. 00270.
Marin, A., and B. Wellman. 2011. SNA: An Introduction. Jhon Scott and Peter J. Carrington.
Revealing the Relational Mechanisms of Research for Development…350
M. Apgar et al.
Maru, Y.T., A. Sparrow, J.R.A. Butler, O. Banerjee, R. Ison, A. Hall, and P. Carberry. 2018. Towards
Appropriate Mainstreaming of “Theory of Change” Approaches into Agricultural Research for
Development: Challenges and Opportunities. Agricultural Systems 165: 344–353. https:// doi. org/ 10.
1016/j. agsy. 2018. 04. 010.
Newman, M.E.J. 2003. The Structure and Function of Complex Networks. SIAM Review 45 (2): 167–
256. https:// doi. org/ 10. 1137/ S0036 14450 342480.
Patton, M.Q. 2010. Developmental Evaluation: Applying Complexity Concepts to Enhance Innovation
and Use. New York: Guilford press.
Penuel, W.R., W. Sussex, C. Korbak, and C. Hoadley. 2006. Investigating the Potential of Using Social
Network Analysis in Educational Evaluation. American Journal of Evaluation 27 (4): 437–451.
https:// doi. org/ 10. 1177/ 10982 14006 294307.
Pepinsky, T.B. 2018. A Note on Listwise Deletion versus Multiple Imputation. Political Analysis 26 (4):
480–488. https:// doi. org/ 10. 1017/ pan. 2018. 18.
Popelier, L. 2018. A Scoping Review on the Current and Potential Use of Social Network Analysis for
Evaluation Purposes. Evaluation 24 (3): 325–352. https:// doi. org/ 10. 1177/ 13563 89018 782219.
Provan, K.G., M.A. Veazie, L.K. Staten, and N.I. Teufel-Shone. 2005. The Use of Network Analysis to
Strengthen Community Partnerships. Public Administration Review 65 (5): 603–613. https:// doi. org/
10. 1111/j. 1540- 6210. 2005. 00487.x.
Smith, J.A., J.H. Morgan, and J. Moody. 2022. Network Sampling Coverage III: Imputation of Missing
Network Data Under Different Network and Missing Data Conditions. Social Networks 68: 148–
178. https:// doi. org/ 10. 1016/j. socnet. 2021. 05. 002.
Stork, D., and W.D. Richards. 1992. Nonrespondents in Communication Network Studies: Problems and
Possibilities. Group & Organization Management 17 (2): 193–209. https:// doi. org/ 10. 1177/ 10596
01192 172006.
Temple, L., D. Barret, G. Blundo Canto, M.-H. Dabat, A. Devaux-Spatarakis, G. Faure, E. Hainzelin, S.
Mathé, A. Toillier, and B. Triomphe. 2018. Assessing Impacts of Agricultural Research for Devel-
opment: A Systemic Model Focusing on Outcomes. Research Evaluation 27 (2): 157–170. https://
doi. org/ 10. 1093/ resev al/ rvy005.
Thornton, P., T. Schuetz, W. Förch, L. Cramer, D. Abreu, S. Vermeulen, and B. Campbell. 2017.
Responding to Global Change: A Theory of Change Approach to Making Agricultural Research for
Development Outcome-Based. Agricultural Systems 152: 145–153. https:// doi. org/ 10. 1016/j. agsy.
2017. 01. 005.
Vance-Borland, K., and J. Holley. 2011. Conservation Stakeholder Network Mapping, Analysis, and
Weaving: Conservation Stakeholder Networks. Conservation Letters 4 (4): 278–288. https:// doi. org/
10. 1111/j. 1755- 263X. 2011. 00176.x.
VanderWeele, T.J., and W. An. 2013. Social Networks and Causal Inference. In Handbook of Causal
Analysis for Social Research, ed. S.L. Morgan, 353–374. Amsterdam: Springer.
Walton, M. 2016. Expert Views on Applying Complexity Theory in Evaluation: Opportunities and Barri-
ers. Evaluation 22 (4): 410–423. https:// doi. org/ 10. 1177/ 13563 89016 667890.
Wasserman, S., and K. Faust. 1994. Social Network Analysis: Methods and Applications. Cambridge,
U.K.: Cambridge University Press.
Yin, R. K. 1989. Case Study Research: Design and Methods. https:// books. google. co. uk/ books? hl= en&
lr= & id= FzawI AdilH kC& oi= fnd& pg= PR1& dq= Case+ study+ resea rch:+ Design+ and+ metho ds&
ots=l_ 1X8ci W3x& sig= oQbz6 MCByW Q0zM0 kBHxq amutE n4#v= onepa ge&q= Case% 20stu dy%
20res earch% 3A% 20Des ign% 20and% 20met hods&f= false
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10.1038_s41467-022-35112-9.pdf
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Data availability
Data from this study is available at https://zenodo.org/badge/
latestdoi/566835035.
Code availability
The version of the model code used in this study is tagged as release
v1.0 and is available at https://zenodo.org/badge/latestdoi/566835035.
Necessary boundary condition files and observational data are inclu-
ded as part of the code release.
|
Data availability Data from this study is available at https://zenodo.org/badge/ latestdoi/566835035 . Code availability The version of the model code used in this study is tagged as release v1.0 and is available at https://zenodo.org/badge/latestdoi/566835035 . Necessary boundary condition files and observational data are included as part of the code release.
|
Article
https://doi.org/10.1038/s41467-022-35112-9
Transfer efficiency of organic carbon in
marine sediments
Received: 29 April 2022
Accepted: 18 November 2022
Check for updates
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James A. Bradley 1,2,7
Sandra Arndt6
, Dominik Hülse 3,4,7, Douglas E. LaRowe5 &
Quantifying the organic carbon (OC) sink in marine sediments is crucial for
assessing how the marine carbon cycle regulates Earth’s climate. However,
burial efficiency (BE) – the commonly-used metric reporting the percentage of
OC deposited on the seafloor that becomes buried (beyond an arbitrary and
often unspecified reference depth) – is loosely defined, misleading, and
inconsistent. Here, we use a global diagenetic model to highlight orders-of-
magnitude differences in sediment ages at fixed sub-seafloor depths (and vice-
versa), and vastly different BE’s depending on sediment depth or age horizons
used to calculate BE. We propose using transfer efficiencies (Teff’s) for quan-
tifying sediment OC burial: Teff is numerically equivalent to BE but requires
precise specification of spatial or temporal references, and emphasizes that
OC degradation continues beyond these horizons. Ultimately, quantifying OC
burial with precise sediment-depth and sediment-age-resolved metrics will
enable a more consistent and transferable assessment of OC fluxes through
the Earth system.
Quantifying feedbacks between the carbon cycle and climate requires
knowledge of organic carbon (OC) fluxes between Earth’s main
reservoirs. The ocean’s biological carbon pump (BCP) delivers OC
from the sunlit ocean to the deep sea, where it can be buried and
sequestered in sediments over geological timescales. Variations in the
long-term OC burial rate have played an important role in regulating
atmospheric O2 and CO2 over Earth’s history1,2, and potentially con-
tributed to glacial-interglacial cycles3. Geologic sequestration of OC
relies ultimately on removal of OC from the active carbon cycle by
burial in marine sediments and incorporation into the solid Earth.
Burial efficiency (BE) is a commonly-used metric to assess the burial
versus degradation of OC in marine sediments. It thus serves as an
important link in quantifying the flux of OC between fast-cycling sur-
ficial reservoirs (i.e.,
the ocean, atmosphere, biosphere, soils,
upper sediments) and geological reservoirs (i.e., deeper sediments,
crustal rocks) that cycle slowly over timescales of thousands to mil-
lions of years. BE is loosely defined as the percentage of the OC
deposited on the seafloor that becomes buried. Similar to assessing
the BCP in the ocean4, the benthic BE metric requires that a particular
reference depth beneath the seafloor (zref) is prescribed, beyond which
OC is considered ‘buried’ and ostensibly ‘preserved’. However, OC
continues to be degraded beyond these horizons, which are often
unspecified. Furthermore, different depth horizons can represent
vastly different timescales of burial (largely due to differences in local
sedimentation rates). The lack of clearly defined reference horizons for
the calculation of BE renders this idealized notion of OC burial and
preservation imprecise, inconsistent, misleading, and vague. It thus
hinders the comparability of benthic OC fluxes between studies, sites,
and reservoirs.
Specifically, BE at a certain depth (zref) beneath the seafloor
(hereafter BEdepth) is the percentage of the OC flux through the
sediment-water interface (SWI) (FSWI) that is transferred to depth zref
(Fz) (Fig. 1). Assuming steady-state conditions (i.e., that the sum of OC
degradation (during its transit from the SWI to zref) and burial (i.e., the
1Queen Mary University of London, London, UK. 2GFZ German Research Center for Geosciences, Potsdam, Germany. 3University of California, Riverside,
Riverside, CA, USA. 4Max-Planck-Institute for Meteorology, Hamburg, Germany. 5University of Southern California, Los Angeles, CA, USA. 6Université Libre de
Bruxelles, Brussels, Belgium. 7These authors contributed equally: James A. Bradley, Dominik Hülse.
e-mail: jbradley.earth@gmail.com
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Fig. 1 | Schematic of the deposition and burial of organic carbon (OC) in idea-
lized marine sediments in shelf and abyssal zones. The dashed black lines
represent illustrative OC concentrations ([OC]) for shelf and abyssal sediments at
certain depths and their equivalent (exemplar) ages, and the dark shading repre-
sents possible variability in OC concentration between sites. The red arrows indi-
cate the flux of OC through the sediment water interface (FSWI), as well as through
specific depth or age layers (Fdepth (e.g., F0.5 m), and Fage (e.g., F0.1 ka), respectively).
The widths of the red arrows represent the magnitude of the OC fluxes through
those layers. In shelf sediments, OC is rapidly degraded near the sediment-water
interface, where shallow sediment depths correspond to short burial times. Con-
versely, in abyssal sediments, low concentrations of OC persist over long time-
scales. In the deep ocean, sediments buried at shallow depths (beneath the SWI)
have much longer burial times than sediments of an equivalent depth (beneath the
SWI) in shallow water. This is due to low sedimentation rates in abyssal zones.
flux of OC through zref) balances the OC flux through the SWI), BEdepth
is calculated according to:
BEdepth =
100 × F z
F SW I
ð1Þ
typical coastal sediments, and millions of years of burial in some
abyssal regions (Fig. 2a). In addition, post-depositional reworking
of sediments (e.g., due to bioturbation, erosion, tectonic events,
and turbidity currents) may alter their position relative to
sediments of other ages.
The burial depth-horizon (zref) is intended to be the lower limit of
the zone within which early diagenesis occurs—which, under steady-
state conditions, is represented by the point at which the change in OC
concentration (OC) with sediment depth (z) reaches zero (i.e., δOC/
δz = 0)5.
We note the following issues with the BEdepth metric:
I. OC is never irreversibly ‘buried’ or ‘preserved’ in the sediment.
Empirical evidence and numerical modeling affirm that OC con-
tinues to be utilized by microbes even in very deep and ancient
sediment6–9. Thus, the theoretical point at which OC degradation
stops (zref) (under steady-state conditions, where δOC/δz = 0)
does not exist. The continual nature of OC degradation becomes
particularly apparent when OC degradation processes are framed
over longer timescales.
II. Specified reference depths (beneath the SWI) are highly variable
between studies and can be from as little as 15 cm to tens of
meters, sometimes pragmatically chosen to be the maximum
depth of the sampled sediment core, and sometimes not
reported5,10,11.
III. Sediment depth can be an inadequate reference frame since
biogeochemists and modelers are often concerned with under-
standing the fate of elements over particular timescales, rather
than depth horizons.
IV. There is limited comparability of BEdepth between sites. A depth-
based reference horizon ignores vastly different sedimentation
rates between sites and thus the differing amounts of time that OC
has been subject to degradation processes and other diagenetic
alterations. For example, a sediment depth of 10 meters below the
seafloor (mbsf) represents several thousand years of burial in
We argue that it is crucial to quantify OC burial by its depositional
history and not simply by considering its depth beneath the seafloor.
Studies should therefore consider using both explicitly-stated refer-
ence depth and age-horizons for quantifying carbon transfer through
the ocean-sediment system.
BE can also be calculated on a temporal (rather than spatial) basis
according to the flux of OC through a specified sediment age horizon
(BEage):
BEage =
100 × F age
F SW I
ð2Þ
Here, Fage represents the OC flux through a specific sediment
age horizon (defined by the transit time t since deposition on the
seafloor, e.g., t = 100 ka). BEage may be adjusted depending on the
timescale of interest. The comparison of equivalent BEage’s between
different benthic settings may offer more consistency than using
BEdepth’s—since the timescales of diagenetic alterations can be
standardized using BEage. However, we are aware of only one study
12. The limitation of this metric is that the age of a
that uses BEage
particular sediment horizon must be known or estimated (e.g., by
using knowledge of past sedimentation rates, and chemical and
biological age markers, whilst accounting for any post-depositional
disturbances and sediment reworking).
We propose a new terminology, transfer efficiency (Teff), for
describing the fate of OC through clearly defined depth (Teff,depth) or
time (Teff,age) horizons in marine sediments. The calculation of Teff is
numerically equivalent to the calculation of BE, but it requires a
precise definition of spatial or temporal reference horizons.
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Teff,depth|age is calculated according to:
T ef f ,depth∣age SW I ! depth∣age
ð
Þ =
100 × F depth∣age
F SW I
ð3Þ
Where depth|age represents the depth or age of the sediment horizon
of interest, and F depth∣age refers to the flux of organic carbon through
that depth or age horizon. For example, Teff,age (SWI→100 ka) denotes
the percentage of OC that has survived 100 ka of burial since its
deposition at the SWI. The Teff terminology emphasizes that OC is not
irreversibly buried but simply transits through a specified horizon. In
addition, the precise specification of reference horizons enables
comparability and upscaling between sites and studies.
We have carried out a series of calculations to illustrate how
inconsistencies in BE metrics translate across different timescales,
spatial scales, and depositional settings, using a spatially-resolved
reaction transport model (RTM) for global sediments13,14.
Results and discussion
We estimate that the global OC burial rate at 0.11 mbsf (approxi-
mately equivalent to the bottom of the bioturbated zone) is between
0.114 and 0.202 Pg C yr−1 (Fig. 3c, Supplementary Table 1). Our cal-
culated OC burial rate is at the lower end of previous estimates
(0.15–0.31 Pg C yr−1)15,16. However, these previous estimates reported
OC burial at unspecified depths beneath the seafloor. We estimate
that the majority of OC is buried on the shelves (~0.105 Pg C yr−1 at
0.11 mbsf). This is also the area with the highest uncertainty in
estimated burial rates (between 0.079 and 0.135 Pg C yr−1, Supple-
mentary Table 1). Calculated Teff’s are highest in abyssal sediments
(Fig. 3a, b). However, the total OC burial flux in abyssal zones is low
(between 0.024 and 0.048 Pg C yr−1 at 0.11 mbsf, Fig. 3c, Supple-
mentary Fig. 1, and Supplementary Table 1) since the OC con-
centrations in sediments in these regions (at
the SWI and
throughout the sediment depth profile) are generally much lower
than in shelf and margin sediments17,18. The transit time (t) of sedi-
ment from deposition at the seafloor to 0.11 mbsf is also con-
siderably longer in abyssal zones than in margin settings (Fig. 2).
Our results show that reference depths and ages (used to calculate
Teff,depth and Teff,age, respectively) greatly influence the total amount of
carbon assumed to be buried in different depositional settings and
across the entire seafloor (Fig. 3). Values of Teff,depth and Teff,age, as well
as the rates of OC burial, are most sensitive to reference depths and
ages in shallower (<100 cm) and younger (<10 ka) sediments (Fig. 3b).
These upper-most zones of sediments correspond to areas where OC
degradation is fastest, due to the greater availability and preferential
degradation of more reactive OC compounds (refs. 19, 20 and refer-
ences therein). Therefore, precise specification and reporting of
Teff,depth or Teff,age is particularly important for studies focusing on early
diagenesis.
The clear specification of reference horizons used in the calcu-
lation of Teff,depth’s or Teff,age’s allows for adjustments to be made to
these metrics based on the characteristic (temporal or spatial) scales
of the problem considered. For example, to quantify the near-
instantaneous interactions between the sediment and the ocean over
annual timescales, the mixed-layer depth could be specified as a
depth-horizon. Alternatively, a reference depth of meters to tens of
meters below the seafloor could be specified to make estimates of
OC budgets on millennial to million-year timescales. What deter-
mines a suitable reference depth or age depends on the specific
application and problem to be addressed. However, studies report-
ing BE using a reference depth that is too shallow or a reference age
that is too young may convey the impression that an unrealistically
high amount of OC is buried (and presumed sequestered) in sedi-
ments. This is because OC continues to be degraded beyond these
horizons (in deeper and older layers) (Fig. 3c).
Fig. 2 | Sediment ages and depths at specific horizons. a Estimated sediment age
(i.e., the time elapsed since its deposition at the SWI) at 10 mbsf. The estimated age
of sediment at 10 mbsf varies by over three orders of magnitude globally.
b Estimated sediment depth (mbsf) at horizons of equal sediment ages: 0.1 ka, 10
ka, and 100 ka. For a fixed sediment age, sediment depth beneath the seafloor
varies globally by over three orders of magnitude.
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Fig. 3 | Transfer and burial of organic carbon (OC) in marine sediments
according to sediment depth and sediment age. a Global maps of transfer effi-
ciency from the sediment-water interface (SWI) to 1 mbsf (Teff,depth (SWI→1 mbsf), %)
and from the SWI to 0.1 ka (Teff,age (SWI→0.1 ka), %). b Transfer (or burial) efficiency
according to changes in the specified reference depth horizons and reference age
horizons. c Total OC buried beyond specified sediment depths and ages. Gray
shading in (b) and (c) represent uncertainty envelopes (±10% in φ and ω, see
Supplementary Discussion).
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Transfer efficiency (Teff) (Eq. 3) is a more consistent and precise
terminology for describing the fate of OC in marine sediments as it
requires the specification of clearly defined depth (Teff,depth) or age
(Teff,age) horizons within sediments, and is thus similar to how parti-
culate OC fluxes are reported in the ocean4,21,22. This explicit descrip-
tion of OC burial according to a common pelagic-benthic framework
(e.g., using Teff (SWI→100 ka) to describe the proportion of OC
deposited that has survived 100,000 years of burial) ensures com-
parability of mass balance and flux calculations, as well as facilitating
upscaling efforts between studies. In addition, the Teff notation
emphasizes that OC is not irreversibly buried but simply transits
through a given horizon and is thus removed from the OC pool at the
particular spatial or temporal scale that is defined by Teff. The Teff
notation is thus more precise and consistent than BE in evaluating the
transport and continual degradation of OC from the surface ocean to
specific sediment depths and ages.
We propose that if Teff’s are to be compared across settings, both
depth and age should be considered. This is owing to (i) the enormous
spatial heterogeneities in the age of sediment layers at fixed depths
below the seafloor (Fig. 2a), and similarly variable sediment depths at
fixed sediment age horizons (Fig. 2b), as well as (ii) the effect of
changing reference depths and ages on Teff (Fig. 3). Studies should
ideally consider both depth and time, i.e., when specifying a reference
depth, time should be discussed (and vice-versa).
A complete mechanistic and quantitative understanding of the
flux of OC through the sunlit ocean, its sinking and degradation in
the water column, and its burial and degradation within sediments is
necessary to understand global elemental cycling and its various
roles on climate and the biosphere. The numerous biological, che-
mical, and physical processes controlling OC degradation and
sequestration in sediments are highly heterogeneous over a wide
range of spatial and temporal scales19,20. Moreover, the varying
characteristics of diverse depositional settings (e.g., burial velocities,
porosities, geochemistry) directly affect the timescales over which
OC is degraded, and these must be considered when labeling OC as
‘buried’ or ‘sequestered’. Reporting benthic OC fluxes according to a
common spatially and temporally defined framework, Teff, will ensure
comparability between sites and studies, enable the integration
between new measurements and existing data, and facilitate knowl-
edge transfer and upscaling efforts. Ultimately, quantifying marine
OC fluxes using consistent and robust metrics will enable an
improved understanding of benthic-pelagic coupling and the role of
marine carbon cycling in the Earth system.
Methods
We use a one-dimensional RTM to calculate the burial and degrada-
tion rate of OC in sub-seafloor sediments13,14, following the approach
described in refs. 12, 23, and 24. The model is implemented on a
0.25° × 0.25° resolution global grid. The geographical delineation of
shelf, margin, and abyssal zones are adopted from ref. 12 (Supple-
mentary Fig. 2). Teff,depth and Teff,age are calculated according to Eq. 3.
The OC flux through a specific depth (Fz) is calculated according to:
(e.g., refs. 25, 26):
ÞOC
∂ 1 (cid:2) φ
ð
∂t
=
∂
∂z
(cid:1)
ð
Db 1 (cid:2) φ
Þ
(cid:3)
(cid:2)
∂OC
∂z
ÞωOC
∂ 1 (cid:2) φ
ð
∂z
+ 1 (cid:2) φ
ð
ÞROC
ð5Þ
Where Db (cm2 yr−1) denotes the bioturbation coefficient, and
ROC (g C cm−3 yr−1) stands for the rate of organic carbon
degradation.
We use a multi-G approximation of a reactive continuum model
(RCM) to simulate organic carbon degradation kinetics (building on
previous approaches14,27). The initial OC distribution of the RCM is
constrained using the Gamma-distribution (Γ) and parameters a, ν,
and k:
f k, 0ð
Þ =
aν (cid:3) k
ν(cid:2)1 (cid:3) exp (cid:2)a (cid:3) k
ð
Þ
Γ νð Þ
ð6Þ
Where f(k, 0) determines the fraction of OC having a reactivity of k
at time zero. In Eq. 6, a is the average lifetime (years) of the more
reactive components of the OC mixture and ν is a dimensionless
parameter determining the shape of the distribution near k = 0. The
adjustable parameters a and ν completely determine the shape of
the initial distribution of OC compounds over the reactivity range
and thus its overall reactivity. High ν and low a values define an OC
mixture dominated by compounds that are more rapidly degraded,
and vice-versa. The Gamma distribution is defined (for any random
variable, x) as:
Γ νð Þ =
Z 1
0
xν(cid:2)1 (cid:3) exp (cid:2)xð
Þdx
ð7Þ
The corresponding cumulative distribution function (CDF) which
gives the fraction of total OC having a reactivity of ≤ k at time zero is
defined as:
F k, 0ð
Þ =
ð
Γ ν, 0, a (cid:3) k
Γ νð Þ
Þ
=
R
a(cid:3)k
0 xν(cid:2)1 (cid:3) exp (cid:2)xð
R 1
0 xν(cid:2)1 (cid:3) exp (cid:2)xð
Þdx
Þdx
ð8Þ
Bulk OC, as constrained by the RCM above, is then approxi-
mated by 100 finite fractions each with their own first-order
degradation rate constant, ki. The reactivity range, here chosen to
be k = [10−15, 10emax], with emax = − log(a) + 2 (ref. 12), is divided into
i = 100 equal reactivity bins. The fraction of OC within the least
reactive fraction i = 1 (i.e., with a degradation rate constant
k ≤ 10−15 yr−1) is calculated based on the lower incomplete Gamma
function:
(cid:4)
F 1 10
(cid:5)
(cid:2)15, 0
=
Z
(cid:2)15
a(cid:3)10
0
xν(cid:2)1 (cid:3) exp (cid:2)xð
Þdx
ð9Þ
The fraction, i = 100, of OC characterized by the highest reactivity
is calculated based on the upper incomplete Gamma function:
ð
F z = (cid:2) 1 (cid:2) φ
(cid:1)
Þ (cid:3) (cid:2)Db
(cid:3)
∂OC zð Þ
∂z
(cid:3)
+ ω (cid:3) OC zð Þ
ð4Þ
(cid:6)
(cid:7)
F 100 10emax , 0
=
R 1
a(cid:3)emax
0 xν(cid:2)1 (cid:3) exp (cid:2)xð
R 1
0
0 xν(cid:2)1 (cid:3) exp (cid:2)xð
Þdx (cid:2)
R
xν(cid:2)1 (cid:3) exp (cid:2)xð
Þdx
Þdx
ð10Þ
Where OC is the concentration of organic carbon (g C cm−3 dry sedi-
ment), z is depth below the seafloor (cm), φ represents sediment
porosity and ω is the sedimentation rate (cm yr−1).
Organic carbon degradation dynamics
The one-dimensional conservation equation describing the transport
and transformation of organic carbon (OC) in porous media is given by
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The fractions of total OC within intermediate reactivity bins, i ∈ [2, 99],
are calculated with the CDF:
(cid:7)
(cid:6)
F i ki, 0
=
(cid:6)
Γ ν, 0, a (cid:3) ki + 1
(cid:7)
(cid:6)
(cid:2) Γ ν, 0, a (cid:3) ki
(cid:7)
R
a(cid:3)ki + 1
0
=
Γ νð Þ
R
xν(cid:2)1 (cid:3) exp (cid:2)xð
a(cid:3)ki
Þdx (cid:2)
R 1
0
0 xν(cid:2)1 (cid:3) exp (cid:2)xð
xν(cid:2)1 (cid:3) exp (cid:2)xð
Þdx
Þdx
ð11Þ
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All fractions Fi add up to unity. The degradation rate of bulk OC can
thus be calculated as:
ROC =
X100
i = 1
ki
(cid:3) OCi zð Þ
ð12Þ
Where OCi(0) = Fi · OC0 assuming a known OC content at the SWI, OC0.
The derived degradation rate of OC, ROC, was then used in Eq. 5 (i.e.,
the general conservation equation) to calculate OC concentrations,
degradation and burial rates for the different sediment layers. For this
purpose, the general conservation equation (Eq. 5) was solved analy-
tically. Assuming steady-state conditions (i.e., ∂OC
∂t = 0), and Db = 0 for
z > zbio (where Db represents the bioturbation coefficient (cm2 year−1),
and zbio is the maximum depth of the bioturbated zone (cm)), the
general solution of Eq. 5 for each organic carbon fraction i in the
bioturbated zone (z ≤ zbio) is given by:
OCi zð Þ = A1ie a1iz
ð
Þ
ð
+ B1ie b1iz
Þ
And in the non-bioturbated zone (z > zbio) by:
With:
OCi zð Þ = A2ie a2iz
ð
Þ
ω (cid:2)
a1i =
q
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
(cid:7)
(cid:6)
ω2 + 4Dbki
2Db
ω +
b1i =
q
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
(cid:7)
(cid:6)
ω2 + 4Dbki
2Db
a2i =
(cid:2)ki
ω
ð13Þ
ð14Þ
ð15Þ
ð16Þ
ð17Þ
The bulk OC concentration as a function of depth is then calculated as:
OC zð Þ =
X100
i = 1
OCi zð Þ
ð18Þ
The integration constants A1i, B1i, and A2i are defined by chosen
boundary conditions. Here, we apply a known OC concentration at the
SWI and we assume continuity (in concentration and flux) across the
bottom of the bioturbated zone, zbio. The integration constants are
thus calculated as:
B1i = OC0
(cid:2) A1i
ð19Þ
(cid:1)
(cid:3) exp a1i
A1i
(cid:3)
(cid:7)
(cid:6)
(cid:3) lim
h!0
(cid:2) h
zbio
(cid:1)
(cid:1)
(cid:3) exp b1i
(cid:3)
(cid:7)
(cid:3)
(cid:7)
(cid:6)
(cid:3) lim
h!0
zbio
(cid:2) h
+ B1i
(cid:6)
exp a2i
(cid:3) lim
h!0
zbio + h
A2i =
(cid:2)B1ib1i
A1i =
a1i
(cid:1)
(cid:3) exp b1i
(cid:1)
(cid:3) exp a1i
(cid:6)
zbio
(cid:7)
(cid:2) h
(cid:3)
(cid:7)
(cid:3) lim
h!0
(cid:6)
(cid:3) lim
h!0
zbio
(cid:2) h
(cid:3)
ð20Þ
ð21Þ
For h > 0 (see e.g., ref. 13 for details).
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Parameters and boundary conditions
For every grid cell we prescribe a particular concentration of organic
carbon at the SWI, OC0, and a set of parameter values (i.e., ω, Db, φ,
and a) (Supplementary Fig. 3). Values of OC0 are taken from ref. 18.
Sedimentation rates, ω, were calculated using an algorithm that cor-
relates water depth and sedimentation rate according to a double
logistic equation28. The bioturbation coefficient, Db, also depends on
water depth and follows the empirical relationship of ref. 29.
The porosities of sediments at the SWI were taken from ref. 30. We
neglect sediment compaction and porosity changes (approximately 1/
600 m−1, ref. 31) in the upper 10 m of the sediment in order to find an
analytical solution to Eq. 5. A comparison of the analytical solution with
a numerical early diagenetic model with depth dependent porosity
shows that porosity changes do not meaningfully affect our results13.
A global parameter compilation20 and inversely calculated RCM
parameters32,33 indicate that ν does not vary much between sites, while
parameter a can vary over orders of magnitude. Based on these results,
we assume a constant ν value of ν = 0.125 (characteristic of fresh
organic matter). The values of parameter a (i.e., shelf a = 0.1 yr, margin
a = 1.0 yr, abyss a = 20.0 yr) were chosen to produce a realistic global
OC burial rate that reflects the range observed in ref. 20. In order to
account for lower OM reactivities and minimal bioturbation in low
oxygen environments (e.g., refs. 29, 34, 35) we reduce the OM reac-
tivity by an order of magnitude and set zbio equal to 1 cm in hypoxic
seafloor zones (i.e., [O2] < 60 μM, according to bottom-water marine
oxygen concentrations from the World Ocean Atlas 201836).
Model evaluation and sensitivity analysis
A detailed evaluation of the diagenetic model is provided in refs. 13, 14.
We also compared our model output to five organic carbon (OC)
profiles measured in sediment cores collected from different ocean
(Supplementary Table 2, Supplementary
depths and regions
Discussion).
We performed a global sensitivity analysis to generate a ranking of
the most important unknown model parameters (besides the reactivity
of OM, i.e., φ, ω, zbio, and Db) according to their relative contribution to
the variability in model output (SI Fig. 4, Supplementary Discussion).
The sensitivity analysis was used to generate uncertainty envelopes for
our estimates of Teff and OC burial (Fig. 3) using a variability of ±10% of
the two most influential parameters (i.e., ω and φ).
We used the method of ref. 37, also called the ‘Elementary Effect
Test’ (EET38), which takes the mean of r finite differences (also called
the ‘Elementary Effects’ or EEs) as a measure of global sensitivity of
input parameter i:
Si =
1
r
Xr
j = 1
EEj =
1
r
P
r
(cid:4)
j = 1 g xj
1,:::,xj
i + Δj
i,:::,xj
M
Δj
i
(cid:5)
(cid:4)
(cid:2) g xj
1,:::,xj
i,:::,xj
M
(cid:5)
ð22Þ
Where g() is our diagenetic model, OMEN-SED, that maps the
j) into the output space—here
j, …, xM
vector of the input factors xj = (x1
the simulated OC burial rates at 1 mbsf. Δi
j represents the variation of
the input parameter i. We compute the standard deviation of the EEs,
which measures the degree of interaction of input parameter i with the
other input parameters. Both sensitivity indices are relative measures,
hence their values do not have a specific meaning and can only be used
to rank the influence of the input parameters. As a strategy to select the
parameter vectors xj (j = 1, …,r) and the input variations Δi for the
investigated model parameters (M = 4), we used the Latin hypercube
sampling approach as implemented in the Sensitivity Analysis for
Everyone (SAFE) MATLAB toolbox39. For zbio we explored a range
between 1 and 15 cm. For φ, ω, and Db we varied the nominal values in
each grid cell by up to 20%.
The calculations of the mean and standard deviation of the EEs of
M input parameters requires N = r·(M + 1) model evaluations. To assess
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https://doi.org/10.1038/s41467-022-35112-9
the robustness of our sensitivity indices, i.e., to analyze if they are
independent of the specific input–output sample, we calculated
bootstrapping-based confidence limits of the indices. Following
recommendations in the literature (e.g., ref. 40), we calculated r = 30
finite differences, which is sufficient to differentiate between influen-
tial and non-influential parameters, to calculate reasonable confidence
bounds of the sensitivity indices. In total we ran N = r·(M + 1) = 150
global model simulations with different input parameter values.
Data availability
Data from this study is available at https://zenodo.org/badge/
latestdoi/566835035.
Code availability
The version of the model code used in this study is tagged as release
v1.0 and is available at https://zenodo.org/badge/latestdoi/566835035.
Necessary boundary condition files and observational data are inclu-
ded as part of the code release.
References
1.
Berner, R. A. Burial of organic carbon and pyrite sulfur in the modern
ocean: Its geochemical and environmental significance. Am. J. Sci.
282, 451–473 (1982).
Berner, R. A. A model for atmospheric CO2 over Phanerozoic time.
Am. J. Sci. 291, 339–376 (1991).
2.
3. Cartapanis, O., Bianchi, D., Jaccard, S. L. & Galbraith, E. D. Global
pulses of organic carbon burial in deep-sea sediments during gla-
cial maxima. Nat. Commun. 7, 1–7 (2016).
Buesseler, K. O., Boyd, P. W., Black, E. E. & Siegel, D. A. Metrics that
matter for assessing the ocean biological carbon pump. Proc. Natl
Acad. Sci. USA 117, 9679 LP–9687 (2020).
4.
5. Canfield, D. E. Factors influencing organic carbon preservation in
marine sediments. Chem. Geol. 114, 315–329 (1994).
6. Arndt, S., Brumsack, H.-J. & Wirtz, K. W. Cretaceous black shales as
active bioreactors: A biogeochemical model for the deep biosphere
encountered during ODP Leg 207 (Demerara Rise). Geochim. Cos-
mochim. Acta 70, 408–425 (2006).
Inagaki, F. et al. Exploring deep microbial life in coal-bearing sedi-
ment down to ~2.5 km below the ocean floor. Science 349, 420
LP–420424 (2015).
7.
8. Westrich, J. T. & Berner, R. A. The role of sedimentary organic-
9.
matter in bacterial sulfate reduction—the G model tested. Limnol.
Oceanogr. 29, 236–249 (1984).
Jørgensen, B. B. A comparison of methods for the quantification of
bacterial sulfate reduction in coastal marine sediments: I. Mea-
surement with radiotracer techniques. Geomicrobiol. J. 1, 11–27
(1978).
10. Stein, R. Surface-water paleo-productivity as inferred from sedi-
ments deposited in oxic and anoxic deepwater environments of the
mesozoic Atlantic Ocean. Biogeochem. Black Shales 60, 55–70
(1986).
11. Hartnett, H. E., Keil, R. G., Hedges, J. I. & Devol, A. H. Influence of
oxygen exposure time on organic carbon preservation in con-
tinental margin sediments. Nature 391, 572–575 (1998).
12. LaRowe, D. E. et al. Organic carbon and microbial activity in marine
sediments on a global scale throughout the Quaternary. Geochim.
Cosmochim. Acta 286, 227–247 (2020).
13. Hülse, D., Arndt, S., Daines, S., Regnier, P. & Ridgwell, A. OMEN-SED
1.0: a novel, numerically efficient organic matter sediment diag-
enesis module for coupling to Earth system models. Geosci. Model
Dev. 11, 2649–2689 (2018).
14. Pika, P., Hülse, D. & Arndt, S. OMEN-SED(-RCM) (v1.1): a pseudo-
15. Muller-Karger, F. E. et al. The importance of continental margins in
the global carbon cycle. Geophys. Res. Lett. 32, 1–4 (2005).
16. Dunne, J. P., Sarmiento, J. L. & Gnanadesikan, A. A synthesis of
global particle export from the surface ocean and cycling through
the ocean interior and on the seafloor. Global Biogeochem. Cycles
21, 1–16 (2007).
17. Seiter, K., Hensen, C., Schröter, J. & Zabel, M. Organic carbon
content in surface sediments—defining regional provinces. Deep
Sea Res. Part I Oceanogr. Res. Pap. 51, 2001–2026 (2004).
18. Lee, T. R., Wood, W. T. & Phrampus, B. J. A machine learning (kNN)
approach to predicting global seafloor total organic carbon. Global
Biogeochem. Cycles 33, 37–46 (2019).
19. LaRowe, D. E. et al. The fate of organic carbon in marine sediments
—new insights from recent data and analysis. Earth-Sci. Rev. 204,
103146 (2020).
20. Arndt, S. et al. Quantifying the degradation of organic matter in
marine sediments: a review and synthesis. Earth-Sci. Rev. 123,
53–86 (2013).
21. Weber, T., Cram, J. A., Leung, S. W., DeVries, T. & Deutsch, C. Deep
ocean nutrients imply large latitudinal variation in particle transfer
efficiency. Proc. Natl Acad. Sci. 113, 8606 LP–8608611 (2016).
22. Henson, S. A., Sanders, R. & Madsen, E. Global patterns in efficiency
of particulate organic carbon export and transfer to the deep
ocean. Global Biogeochem. Cycles 26, 1–14 (2012).
23. Bradley, J. A. et al. Widespread energy limitation to life in global
subseafloor sediments. Sci. Adv. 6, eaba0697 (2020).
24. Bradley, J. A., Arndt, S., Amend, J. P., Burwicz-Galerne, E. & LaRowe,
D. E. Sources and Fluxes of Organic Carbon and Energy to Micro-
organisms in Global Marine Sediments. Front. Microbiol. 13, (2022).
25. Berner, R. A. Early Diagenesis: A Theoretical Approach. Princeton
Series in Geochemistry (1980).
26. Boudreau, B. P. Diagenetic Models and Their Implementation.
Modelling Transport and Reactions in Aquatic Sediments Vol. 171
(Springer, 1997).
27. Dale, A. W. et al. A revised global estimate of dissolved iron fluxes
from marine sediments. Glob. Biogeochem. Cycles 29,
691–707 (2015).
28. Burwicz, E. B., Rüpke, L. H. & Wallmann, K. Estimation of the global
amount of submarine gas hydrates formed via microbial methane
formation based on numerical reaction-transport modeling and a
novel parameterization of Holocene sedimentation. Geochim.
Cosmochim. Acta 75, 4562–4576 (2011).
29. Middelburg, J. J., Soetaert, K. & Herman, P. M. J. Empirical rela-
tionships for use in global diagenetic models. Deep Sea Res. Part I
Oceanogr. Res. Pap. 44, 327–344 (1997).
30. Martin, K. M., Wood, W. T. & Becker, J. J. A global prediction of
seafloor sediment porosity using machine learning. Geophys. Res.
Lett. 42, 10640–10646 (2015).
31. Einsele, G. Sedimentary Basins: Evolution, Facies, and Sediment
Budget (Springer, 2000).
32. Boudreau, B. P. & Ruddick, B. R. On a reactive continuum repre-
sentation of organic matter diagenesis. Am. J. Sci. 291,
507–538 (1991).
33. Freitas, F. S. et al. New insights into large-scale trends of apparent
organic matter reactivity in marine sediments and patterns of
benthic carbon transformation. Biogeosciences 18,
4651–4679 (2021).
34. LaRowe, D. E. & Van Cappellen, P. Degradation of natural organic
matter: a thermodynamic analysis. Geochim. Cosmochim. Acta 75,
2030–2042 (2011).
35. Aller, R. C. in Treatise on Geochemistry: Second Edition Vol. 8 (2013).
36. Garcia, H. et al. World Ocean Atlas 2018, Volume 3: Dissolved
reactive continuum representation of organic matter degradation
dynamics for OMEN-SED. Geosci. Model Dev. 14, 7155–7174 (2021).
Oxygen, Apparent Oxygen Utilization, and Dissolved Oxygen
Saturation. NOAA Atlas NESDIS Vol. 83 (2019).
Nature Communications |
(2022) 13:7297
7
Article
https://doi.org/10.1038/s41467-022-35112-9
37. Morris, M. D. Factorial sampling plans for preliminary computa-
tional experiments. Technometrics 33, 161–174 (1991).
Correspondence and requests for materials should be addressed to
James A. Bradley.
38. Saltelli, A. et al. Global sensitivity analysis: The primer. Global Sen-
sitivity Analysis: The Primer. https://doi.org/10.1002/
9780470725184 (2008).
39. Pianosi, F., Sarrazin, F. & Wagener, T. A Matlab toolbox for global
sensitivity analysis. Environ. Model. Softw. 70, 80–85 (2015).
40. Pianosi, F. et al. Sensitivity analysis of environmental models: a
Peer review information Nature Communications thanks Virginia Edg-
comb, Jamie Wilson and the other, anonymous, reviewer(s) for their
contribution to the peer review of this work. Peer reviewer reports are
available.
systematic review with practical workflow. Environ. Model. Softw.
79, 214–232 (2016).
Reprints and permissions information is available at
http://www.nature.com/reprints
Acknowledgements
We acknowledge funding from NERC (NE/T010967/1) (J.A.B.), the Alex-
ander von Humboldt Foundation (J.A.B.), the Human Frontier Science
Program (J.A.B.), the Simons Foundation (653829) (D.H.), C-DEBI (NSF
OCE0939564) (D.E.L.), NASA-NSF Origins of Life Ideas Lab
(NNN13D466T) (D.E.L.), NASA Habitable Worlds (80NSSC20K0228)
(D.E.L.), and BELSPO FedtWin program RECAP (S.A.).
Author contributions
J.A.B. and D.H. contributed equally to this work. J.A.B. conceived the
study. J.A.B., D.H., and S.A. designed the research. D.H. conducted the
simulations. J.A.B., D.H., D.E.L., and S.A. analyzed model output. J.A.B.
and D.H. wrote the manuscript with input from D.E.L. and S.A.
Competing interests
The authors declare no competing interests.
Additional information
Supplementary information The online version contains
supplementary material available at
https://doi.org/10.1038/s41467-022-35112-9.
Publisher’s note Springer Nature remains neutral with regard to jur-
isdictional claims in published maps and institutional affiliations.
Open Access This article is licensed under a Creative Commons
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© The Author(s) 2022
Nature Communications |
(2022) 13:7297
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| null |
10.1016_j.celrep.2023.112408.pdf
|
Data and code availability—Original small-RNA sequencing datasets are publicly
available in NCBI under the accession number BioProject: PRJNA874806.
| null |
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HHS Public Access
Author manuscript
Cell Rep. Author manuscript; available in PMC 2023 August 22.
Published in final edited form as:
Cell Rep. 2023 May 30; 42(5): 112408. doi:10.1016/j.celrep.2023.112408.
The nuclear Argonaute HRDE-1 directs target gene re-
localization and shuttles to nuage to promote small RNA-
mediated inherited silencing
Yue-He Ding1, Humberto J. Ochoa1, Takao Ishidate1, Masaki Shirayama1, Craig C.
Mello1,2,3,*
1RNA Therapeutics Institute, University of Massachusetts Medical School, Worcester, MA 01605,
USA
2Howard Hughes Medical Institute, Worcester, MA 01605, USA
3Lead contact
SUMMARY
Argonaute/small RNA pathways and heterochromatin work together to propagate
transgenerational gene silencing, but the mechanisms behind their interaction are not well
understood. Here, we show that induction of heterochromatin silencing in C. elegans by RNAi or
by artificially tethering pathway components to target RNA causes co-localization of target alleles
in pachytene nuclei. Tethering the nuclear Argonaute WAGO-9/HRDE-1 induces heterochromatin
formation and independently induces small RNA amplification. Consistent with this finding,
HRDE-1, while predominantly nuclear, also localizes to peri-nuclear nuage domains, where
amplification is thought to occur. Tethering a heterochromatin-silencing factor, NRDE-2, induces
heterochromatin formation, which subsequently causes de novo synthesis of HRDE-1 guide
RNAs. HRDE-1 then acts to further amplify small RNAs that load on downstream Argonautes.
These findings suggest that HRDE-1 plays a dual role, acting upstream to initiate heterochromatin
silencing and downstream to stimulate a new cycle of small RNA amplification, thus establishing a
self-enforcing mechanism that propagates gene silencing to future generations.
In brief
Ding and colleagues investigate inherited silencing in C. elegans. They demonstrate that the
nuclear Argonaute HRDE-1 induces subnuclear-co-localization of target genes in heterochromatin.
Heterochromatin formation subsequently triggers de novo HRDE-1 guide RNA loading. Finally,
This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
*Correspondence: craig.mello@umassmed.edu.
AUTHOR CONTRIBUTIONS
Conceptualization, Y.-H.D. and C.C.M.; investigation, Y.-H.D. and H.J.O.; methodology, Y.-H.D., H.J.O., T.I., and C.C.M.; data
analysis, Y.-H.D.; writing – review & editing, Y.-H.D. and C.C.M.; supervision, C.C.M.
SUPPLEMENTAL INFORMATION
Supplemental information can be found online at https://doi.org/10.1016/j.celrep.2023.112408.
DECLARATION OF INTERESTS
The authors declare no competing interests.
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HRDE-1 enters nuage and activates small RNA amplification. Thus, HRDE-1 effects multiple
steps of a self-enforcing transgenerational silencing process.
Graphical Abstract
INTRODUCTION
In many animal germlines, small RNA/Argonaute pathways function transgenerationally
to install and re-inforce chromatin silencing essential for fertility. For example, in flies,
worms, and mammals, members of the PIWI Argonaute family engage genomically encoded
small RNAs termed PIWI-interacting RNAs (piRNAs) that silence transposons to maintain
genome integrity.1–6 Although the details differ, all transgenerational small RNA silencing
pathways studied to date require amplification and engagement of secondary Argonautes.7
Many of the components of the amplification machinery localize prominently in peri-nuclear
non-membranous organelles called nuage. However, how the amplification system in nuage
communicates with and drives the nuclear events during the initiation and maintenance of
transgenerational silencing is not well understood.
In C. elegans, transgenerational silencing can be initiated by the PIWI pathway, by
the canonical double-stranded RNA (dsRNA)-induced RNAi pathway, or by intronless
mRNA.8–11 Inherited silencing is maintained by a family of related downstream worm-
specific Argonautes (WAGO Argonautes) guided by small RNAs (22G-RNAs) produced
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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by cellular RNA-dependent RNA polymerase. Once established, inherited silencing can be
propagated independently of the initiating cues via continuous cycles of WAGO 22G-RNA
amplification and transmission of the WAGO Argonautes and their small RNA co-factors to
progeny.8,12–14
The nuclear WAGO Argonaute, HRDE-1/WAGO-9, plays a central role in transgenerational
silencing in C. elegans.15,16 HRDE-1 is thought to engage nascent transcripts at target
loci to induce heterochromatin and transcriptional silencing through the nuclear RNAi
pathway.15,17 HRDE-1 promotes the transgenerational silencing of many genes18 and is
thought to do so by recruiting chromatin remodeling factors, including the nucleosome
remodeling and deacetylase complex (NuRD) and histone methyltransferases (e.g., MET-2,
SET-25, SET-32).9,18,19 The nuclear RNAi pathway is also required for the spreading of
secondary small RNAs from piRNA target sites.14,20
Transgenerational silencing requires a series of events that are thought to occur in the nuage,
nucleus, and cytoplasm. Because all of these events are essential for the cycle of inherited
silencing, their order has been difficult to determine. For example, it is not known whether
the nuclear Argonaute HRDE-1 directly triggers RdRP recruitment and amplification of
small RNAs or whether it must first induce heterochromatin at its targets to elicit small
RNA amplification. Here, we use the phage lambda N (λN)-boxB tethering system21–25 to
recruit—i.e., tether—HRDE-1 or the nuclear silencing factor NRDE-2 to a reporter mRNA.
In principle, tethering enables initiation of silencing in the absence of upstream initiators
such as piRNAs or dsRNA and, with appropriate genetic tests, can be used to order events
in the pathway. We show that tethering either HRDE-1 or NRDE-2 can induce a complete
silencing response, including small RNA amplification and transgenerational silencing that
persists even after the λN-fusion protein is crossed from the strain. Tethering NRDE-2
initiates chromatin silencing through nrde-4 and independently of hrde-1 but requires hrde-1
for small RNA amplification. By contrast, tethering HRDE-1 stimulates chromatin silencing
through NRDE-2 and NRDE-4 but can elicit small RNA amplification independently of
both these chromatin-silencing factors. Mutations that block HRDE-1 from binding small
RNA disarm silencing and cause HRDE-1 to become cytoplasmic, but tethering HRDE-1
in these mutants nevertheless initiates a strong silencing response that requires small
RNA amplification proximal to the tether site. The small RNA amplification machinery
is recruited to the tether site by sequences in the N-terminal half of HRDE-1 (the N-terminal
domain [NTD]). Like full-length HRDE-1 protein, HRDE-1 NTD co-localizes with MUT-16
in Mutator foci, subdomains of cytoplasmic nuage where the small RNA amplification
machinery resides.26 Our findings suggest that HRDE-1 lies at a nexus in the silencing
pathway, shuttling from the nucleus to the nuage and back, to coordinate the nuclear and
cytoplasmic events of transgenerational silencing.
RESULTS
HRDE-1 and NRDE-2 tethering induce transgenerational silencing
To order events in inherited silencing, we sought to uncouple initiation and maintenance
of silencing. To do this, we used the phage λN-boxB tethering system to recruit nuclear
silencing factors HRDE-1 or NRDE-2 to a target reporter that is robustly expressed in the
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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germline (Figure 1A). We hypothesized that if artificial recruitment of a silencing factor
mimics a physiological event, then it should elicit a silencing response that is independent of
upstream factors but depends on known downstream factors. For example, directly tethering
a chromatin factor should, in principle, induce silencing without requiring machinery
necessary to amplify the small RNAs that would normally guide the chromatin silencing
machinery to the appropriate targets.
Using CRISPR, we inserted an in-frame λN coding sequence at the 5′ end of the
endogenous hrde-1 or nrde-2 loci (see STAR Methods). Both fusion genes were fully
functional, based on their ability to mediate piRNA silencing (Figure S1A). Moreover, both
strains exhibited wild-type patterns and distributions of endogenous small RNA species
(Figure S1B).We then tested whether the λN fusions could induce heritable silencing of
a reporter gene whose 3′ UTR contains λN-binding sites (i.e., boxB elements) (Figures
1A–1D). Both λN::HRDE-1 and λN::NRDE-2 induced silencing of the reporter beginning
at the initial heterozygous generation (Figures 1C and 1D). Notably, silencing of the reporter
persisted in subsequent generations after genetically segregating away the λN-fusion alleles
(Figures 1E and S1C; data not shown). As expected, inherited silencing (after segregating
the λN-fusion alleles) required known components of the transgenerational RNA silencing
pathway, including HRDE-1, the small RNA amplification factors RDE-3/MUT-2 and
MUT-16,6,27,28 and the nuclear silencing factors NRDE-2 and NRDE-49,29 (Figures 1E–
1G, S1C, and S1H; data not shown). Moreover, λN::HRDE-1 and λN::NRDE-2 tethering
induced trimethylation of histone H3 lysine 9 (H3K9me3; Figures 2A and 2B) and reduced
both reporter mRNA and pre-mRNA levels (Figures 2C and 2D), consistent with the role
of H3K9me3 in transcriptional silencing.15 Thus, artificially recruiting HRDE-1 or NRDE-2
to a target locus was sufficient to initiate the full cycle of events required for inherited
silencing, including small RNA amplification and heterochromatin formation.
Having established that tethering induces inherited silencing that depends genetically on
known components of the RNA silencing pathway, we asked which factors were required
for silencing when the tethered protein was continuously present. For example, because
the λN-boxB interaction recruits HRDE-1 and NRDE-2 independently of a guide RNA,
we reasoned that the small RNA amplification machinery should be unnecessary when
nuclear silencing factors are tethered to the reporter. Consistent with this idea, we found that
λN::NRDE-2 silenced the reporter in the absence of rde-3, mut-16, and hrde-1 (Figures 2E,
S2A–S2C) but failed to silence it in the absence of nrde-4 (Figures 2E and S2D). These
results suggest that NRDE-2 acts downstream of HRDE-1 and upstream of NRDE-4 in
nuclear silencing.
In wild-type animals without tethering, inherited silencing requires nuclear chromatin
silencing factors (e.g., nrde-2 and nrde-4) and nuage-localized factors (e.g., rde-3 and
mut-16; Figure 1G), indicating that these pathways function together, possibly sequentially,
to propagate inherited silencing. In contrast, when λN::HRDE-1 was tethered to the
reporter, we found that leaving either pathway intact was sufficient to maintain silencing,
as monitored by GFP epifluorescence. For example, silencing of the reporter GFP was
maintained independently of nrde-2, nrde-4, or rde-3 and only partly required mut-16
activity (Figures 2F and S2E–S2H). To completely prevent silencing, it was necessary to
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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simultaneously mutate components of both the small RNA amplification machinery (rde-3
or mut-16) and components of the chromatin nuclear silencing machinery (nrde-2 or nrde-4)
(Figures 2F and S2E–S2K).
HRDE-1 tethering in wild-type worms reduced the unspliced pre-mRNA reporter level
by 2-fold and the spliced RNA level by 100-fold, as measured by quantitative PCR
(qPCR) (Figure 2C). For unknown reasons, nrde-2 mutants exhibited a 4-fold increase in
reporter pre-mRNA both with and without HRDE-1 tethering (Figure 2C) but exhibited
discordant effects on spliced reporter RNA levels. Removing nrde-2 activity in animals
without tethering had little effect on spliced reporter mRNA levels (a slight 1.2-fold
increase) compared with wild type, but removing nrde-2 activity in the context of tethering
caused spliced RNA levels to increase (compared with levels in wild-type HRDE-1-tethered
animals), reaching levels of approximately 40% of wild-type mRNA levels. It is important
to note that the qPCR assay cannot distinguish mRNA from template RNA being silenced,
as template RNAs derive from spliced RNAs. Moreover, the high levels of spliced RNA
in λN::HRDE-1;nrde-2 worms correlate with a marked accumulation of reporter RNA
localized in nuage (via RNA fluorescence in situ hybridization [FISH], shown below). Thus,
the accumulated spliced RNA likely reflects template RNA engaged in amplifying the small
RNA silencing signal, perhaps to compensate for the loss of heterochromatin silencing.
Further study is needed to understand the effects of nrde-2 mutants on pre-mRNA levels,
such as whether increased pre-mRNA levels in nrde-2 mutants reflect processing defects.30
Nevertheless, in the nrde-2 background, HRDE-1 tethering reduces mRNA and pre-mRNA
levels by 2-to 3-fold, suggesting that tethered HRDE-1 can exert effects on both mRNA
and pre-mRNA levels independently of NRDE-2. Taken together, our findings suggest
that HRDE-1 functions twice during inherited silencing—upstream of nuclear silencing
to recruit NRDE-2 and NRDE-4 and again downstream of these factors to induce small
RNA amplification and post-transcriptional clearance of mRNA. While these events likely
occur sequentially and thus depend on each other during the normal course of inherited
silencing,31 tethering HRDE-1 initiates both modes of silencing independently, either of
which is sufficient to prevent reporter GFP expression.
HRDE-1 acts downstream of NRDE-2 to promote small RNA amplification
The above findings indicate that HRDE-1 can initiate inherited silencing independently of
nrde-2 and nrde-4, while NRDE-2 requires both nrde-4 and hrde-1. A likely explanation
for these findings is that heterochromatin silencing directed by NRDE-2 and NRDE-4
induces the de novo synthesis of small RNAs that engage HRDE-1 and that HRDE-1 can
further amplify these small RNAs to propagate silencing to offspring. Indeed, whereas we
detected very few small RNAs targeting the reporter in the absence of tethering (Figure
3A), λN::NRDE-2 induced small RNA accumulation that required nrde-4, rde-3, and hrde-1
(Figures 3B–3E). These findings suggest that NRDE-2 tethering induces silencing and
heterochromatin formation through NRDE-4 (Figures 2B and 2D) and that downstream
events (e.g., heterochromatin formation itself or other NRDE-4-dependent events) act
through RDE-3 and HRDE-1 to induce small RNA amplification.
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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λN::HRDE-1 tethering induced abundant small RNA accumulation that was independent of
nrde-2 and nrde-4 (Figures 3F, 3G, and S3A). However, interestingly, both the distribution
of small RNAs and their levels of accumulation along the target mRNA were dramatically
altered in the nrde mutants. Small RNA levels were markedly increased adjacent to the
boxB sites and were diminished on the gfp coding sequences (Figures 3F, 3G, S3A, and
S3B). Small RNAs targeting the reporter were greatly reduced by mutations in rde-3 and
mut-16, as expected, (Figures 3H and 3I). Interestingly, however, a low level of small RNAs
persisted directly adjacent to the boxB sites when λN::HRDE-1 was tethered in the absence
of rde-3 but not in the absence of mut-16 (Figure 3H). This result is consistent with the
observation that tethering of λN::HRDE-1 can bypass rde-3 but cannot fully bypass mut-16
(Figure 2F).
When outcrossed to a hrde-1(+) background to segregate away λN::HRDE-1, the reporter
remained silent for at least 13 generations, with no change in penetrance. Moreover, we
observed only a slight reduction in small RNA levels primarily in regions juxtaposed to the
boxB hairpins (Figure 3J). In contrast, when outcrossed to a hrde-1 null background, the
reporter was fully de-silenced, and small RNAs were absent (Figure 3K). As expected, the
maintenance of silencing, and of small RNA levels, also required rde-3(+) and mut-16(+)
(Figures 3L and 3M). Taken together, these findings suggest that heterochromatin formation
at the target locus induces de novo transcription and loading of small RNAs onto the nuclear
Argonaute HRDE-1. HRDE-1, in turn, further promotes small RNA amplification and then
functions again, perhaps in the next life cycle, to reinitiate heterochromatin silencing (see
discussion).
HRDE-1 guide RNA loading is not required for small RNA amplification
The finding that λN::HRDE-1 can direct chromatin silencing in rde-3 and mut-16 mutants,
which are defective in small RNA amplification, suggests that the unloaded Argonaute
can direct chromatin silencing when tethered. To further test this idea, we monitored
silencing (1) by λN::HRDE-1 in an hrde-2 mutant, which is defective in HRDE-1 small
RNA loading13 and (2) by a λN::HRDE-1(Y669E) mutant, predicted by structural work
to be defective in guide RNA binding (Figure S5B).32 In both cases, tethering completely
silenced the boxB reporter as monitored by GFP fluorescence (Figure 4C and S4D) and by
quantitative reverse transcription PCR (qRT-PCR) of the mRNA (Figure 4D). For unknown
reasons, compromising nuclear silencing by hrde1-(Y669E) caused elevated pre-mRNA
levels as measured by qRT-PCR (Figure 4D), similar to nrde-2 mutants. As expected,
the hrde-1(Y669E) mutant was defective in silencing a piRNA reporter (Figure S4A)
and showed a collapse of small RNAs resembling that in hrde-1(null) (Figures S4B and
S4C). However, in these mutant contexts, loss of rde-3 alone was sufficient to completely
de-silence the reporter (Figures S4E and 4C), suggesting that in the absence of guide RNA
loading, HRDE-1 fails to engage the NRDE heterochromatin machinery. Deep sequencing
revealed an abundant accumulation of rde-3-dependent small RNAs targeting the boxB
reporter in λN::HRDE-1(Y669E) animals (Figures 4E and 4F). Notably, the pattern and
levels of small RNA accumulation induced by λN::HRDE-1(Y669E) resembled those
observed when wild-type λN::HRDE-1 is tethered in a nrde-2 mutant (compare Figures
4E–3G)—i.e., resulting in increased levels of small RNAs targeting sequences adjacent to
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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the boxB sites and reduced levels targeting GFP sequences. Taken together, these results
suggest that tethering of unloaded HRDE-1 can induce local small RNA amplification and
silencing but that tethered HRDE-1 must be loaded with small RNAs to induce chromatin
silencing, which is in turn required for small RNA targeting to spread into the 5′ sequences
of the target mRNA.
HRDE-1 promotes small RNA amplification through its NTD
We next attempted to dissect functional domains of HRDE-1 required for small RNA
amplification. We used CRISPR to make a series of λN::hrde-1 truncation mutants
(Figure 5A). These studies identified the N-terminal half (herein the NTD) as the minimal
fragment of HRDE-1 that could fully silence the reporter. The NTD and the remaining
C-terminal domain (CTD) truncations of HRDE-1 are predicted by I-TASSER33 to fold into
self-contained globular structures, with subdomains similar to those identified in atomic
resolution studies on humanAgo234 (Figures 5B, S5A, and S5B). As expected, in the
absence of tethering, hrde-1(NTD) and hrde-1(CTD) alleles failed to silence a piRNA sensor
(Figure S4A).
Silencing by λN::NTD required rde-3 but not nrde-2 (Figures 5C and S5C), and deep
sequencing revealed that λN::NTD induces abundant rde-3-dependent small RNAs targeting
the boxB reporter (Figures 5D and 5E). Truncations that failed to silence the reporter
did not trigger small RNA generation (Figure S5D). The small RNA pattern induced
by λN::NTD resembled the patterns caused by λN::HRDE-1 in nrde-2 mutants or by
λN::HRDE-1(Y669E)—i.e., dramatically increased levels of small RNAs proximal to the
boxB sites and reduced levels of small RNAs targeting GFP sequences. Interestingly,
the magnitude of small RNA accumulation induced by λN::NTD at the boxB sites
was ~4-fold greater than that induced by either λN::HRDE-1 in nrde-2 mutants or by
λN::HRDE-1(Y669E) (compare Figure 5D with Figures 3G and 4E). These results suggest
that the NTD of HRDE-1 robustly recruits the small-RNA amplification machinery to the
target and promotes silencing that is independent of the NRDE-2 nuclear silencing pathway.
HRDE-1 tethering promotes accumulation of poly-UG-modified target fragments
During RNA silencing in worms, truncated target RNAs are converted into templates for
small RNA production via the RDE-3-dependent addition of poly-UG tails.27 We therefore
used a qPCR assay27 to detect poly-UG additions to reporter RNA in the absence of a λN
fusion or in worms expressing λN::HRDE-1, λN::NTD, or λN::HRDE-1(Y669E) (Figures
5G and 5H). Priming from an endogenous UGUG motif in the reporter 3′ UTR serves as a
control for the presence of full-length mRNA. This analysis revealed that faster-migrating,
poly-UG-modified RNAs accumulated in strains where silencing was active. In wild-type
λN::HRDE-1 worms, poly-UG-modified RNAs were most robustly detected at truncations
within the GFP sequences (Figures 5G and 5H). As expected, only full-length mRNA was
detected in rde-3 mutants, confirming that RDE-3 is absolutely required for poly-UG RNA
accumulation. Notably, mutation of nrde-2 or tethering the NTD or Y669E mutants shifted
poly-UG addition toward the 3′ end of the reporter, close to the boxB elements (Figures
5G and 5H). These results suggest that HRDE-1 tethering induces RDE-3-dependent poly-
UG modification of truncation products that are generated near the tethering sites and
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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that nuclear silencing promotes the induction of additional truncations far away from the
tethering sites that likely support the 5′ spread of small RNA amplification.
To further analyze changes in target RNA caused by tethering, we used qRT-PCR.
Surprisingly, whereas tethering wild-type λN::HRDE-1 reduced the reporter pre-mRNA
by 50% and mRNA by 99% (Figure 2C), λN::NTD increased the reporter pre-mRNA by
~2.5-fold and reduced the mRNA by ~40% (Figure 5F). This result was surprising given
that GFP fluorescence was undetectable in λN::NTD worms (Figures 5C and S5C) and
suggested that the accumulating species in λN::NTD animals might reflect the accumulation
of nearly full-length pUG RNA.
Functional HRDE-1 RNA-induced silencing complex (RISC) is not required parentally for
transmission of silencing to offspring
We next asked if λN::NTD can initiate inherited silencing. To do this, we first established
reporter silencing by tethering λN::NTD in otherwise wild-type worms. We then crossed
to a reporter strain homozygous for a hrde-1 null allele to generate animals heterozygous
for the tethering construct. Finally, we crossed these λN::NTD/null heterozygotes (either
as males or hermaphrodites) to a hrde-1(+) reporter strain, resulting in two types of cross
progeny—λN::NTD/+ or null/+ heterozygotes. Remarkably, although the λN::NTD/null
parents lacked a functional HRDE-1 RISC, they nevertheless robustly transmitted silencing
to the next generation (Figures S7A and S7B). As expected, HRDE-1(+) was required in
the inheriting generation for silencing to occur (Buckley et al.15 and Figure 1F). Since the
NTD fails to establish heterochromatin upon tethering and cannot directly form a RISC
complex, these findings suggest that parentally established heterochromatin and HRDE-1
RISC are not required in gametes for inheritance, a finding consistent with previous work in
which hrde-1 homozygous mutant hermaphrodites were shown to transmit silencing to their
heterozygous progeny.15 Rather, in the parental generation, the tethered NTD can stimulate
amplification of small RNAs that likely engage with other Argonautes to propagate silencing
to offspring (see discussion).
HRDE-1 localizes to Mutator foci
HRDE-1 localization is primarily nuclear15; however, template formation and small RNA
amplification are thought to occur in domains of peri-nuclear nuage termed Mutator
foci, where several components of the small RNA amplification machinery localize.26–28
To examine whether HRDE-1 localizes in Mutator foci, we expressed GFP::HRDE-1
(without tethering) in worms that also express either mCherry::GLH-1, which localizes
broadly within nuage, or MUT-16::mCherry, which localizes prominently in Mutator foci.
GFP::HRDE-1 co-localized to a subset of peri-nuclear mCherry::GLH-1 foci, especially
in association with late pachytene germ nuclei (Figures 6A and S6A). Moreover, the
GFP::HRDE-1 foci only partially overlapped with mCherry::GLH-1 foci, suggesting that
the HRDE-1+ foci occupy subdomains of larger GLH-1+ nuage, reminiscent of Mutator
foci. Indeed, GFP::HRDE-1 foci coincided almost perfectly with MUT-16::mCherry
foci (Figure 6B). Similarly, GFP::HRDE-1(NTD) co-localized with GLH-1::mCherry and
mCherry::MUT-16 foci (Figures 6C, 6D, and S6B). Taken together, these findings suggest
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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that HRDE-1 localizes via its NTD to Mutator foci, where it functions to promote small
RNA amplification.
Silencing by dsRNA or tethering causes target genes to co-localize
To understand how HRDE-1 and nuclear silencing regulate their target genes and RNAs,
we performed RNA and DNA FISH studies to visualize the boxB reporter mRNA and
DNA. In the absence of silencing, reporter RNA foci were detected throughout the germline
cytoplasm (Figures 6E and S6C). In addition, we observed prominent RNA signals in the
majority (~70%) of pachytene nuclei (most nuclei, 57%, exhibited at least two closely paired
nuclear dots, while the remainder exhibited a single dot; Figures 6E and 6I). The positions of
these nuclear signals adjacent to DAPI-stained chromosomes suggests that they correspond
to sites of transcription on the paired sister chromatids within the axial loops of synapsed
meiotic homologs. Silencing, induced either by exposure to dsRNA targeting the reporter or
by tethering λN::HRDE-1, eliminated cytoplasmic reporter RNA signal and greatly reduced
the nuclear signal (Figures 6F, 6L, and S6C). More than 80% of the pachytene nuclei with
visible RNA signal exhibited a single nuclear focus (Figures 6F, 6L, 6I, and 6O). The
changes in nuclear RNA signal induced by silencing correlated with changes in the reporter
DNA FISH signal. In the absence of silencing, we observed a pair of nuclear DNA FISH
signals in approximately 50% of pachytene nuclei that have visible DNA signal (Figures 6P
and 6T), while in the presence of silencing, we observed a single focus of DNA FISH signal
in approximately 90% of pachytene nuclei with visible DNA signal (Figures 6Q, 6J, 6T, and
S6E). These results suggest that nuclear silencing mediated by HRDE-1 causes the target
alleles to become merged from predominantly paired DNA FISH signals into a single focus
containing all 4 silenced alleles.
Mutations that disarm nuclear silencing cause target RNA to accumulate in nuage
subdomains that resemble Mutator foci
We next examined how mutations that disarm only the nuclear silencing pathway impact
RNA and DNA localization after RNAi or tethering. To do this, we performed RNA and
DNA FISH on λN::NTD worms and on nrde-2 mutants. In these mutants, where nuclear
silencing is disarmed, we found that nuclear RNA and DNA FISH signals resembled the
nuclear signals observed in wild-type animals in the absence of silencing: predominantly
two foci of RNA and DNA FISH signals detected in each background (Figures 6M, 6N,
6I, 6J, 6O, 6T, and S6D). In contrast, however, the cytoplasmic RNA FISH signals were
dramatically altered. While RNA signal was absent from the bulk cytoplasm throughout the
gonad, consistent with cytoplasmic post-transcriptional silencing, we noticed pronounced
accumulation of reporter RNA signals in multiple peri-nuclear foci surrounding pachytene
nuclei. Co-staining experiments with GFP::GLH-1 or MUT-16::GFP revealed that these
RNA foci coincide with most of the nuage subdomains that express MUT-16::GFP (Figures
6G, 6H, 6M, and 6N). The accumulation of target RNA in the MUT-16 foci required
RDE-3(+) activity (Figure S6F), suggesting that these RNA signals may correspond to RdRP
templates engaged in small RNA amplification.
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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MUT-16 promotes the nuclear localization of GFP::HRDE-1 but not its nuage localization
MUT-16 is required for the co-localization of small RNA amplification factors within
Mutator foci.26,28,35 We therefore wondered if MUT-16 is also required for the co-
localization of HRDE-1 in Mutator foci. To answer this question, we introduced a null allele
of mut-16 into worms expressing both GFP::HRDE-1 and mCherry::GLH-1. As shown
previously,24 we found that MUT-16 activity is required for the nuclear localization of
HRDE-1 (Figures 7A and 7B). MUT-16 was not, however, required for the localization of
GFP::HRDE-1 to nuage (Figures 7A and 7B). The localization of GFP::HRDE-1 in nuage
appeared more obvious in mut-16 mutants, but the levels of GFP::HRDE-1 within nuage and
the approximate numbers of foci appeared similar with or without mut-16 activity (Figures
7A and 7B). Finally, the localization of MUT-16 itself to nuage was not disrupted in hrde-1
mutants (data not shown), thus HRDE-1 and MUT-16 localize within a nuage subdomain (or
domains) independently of each other.
DISCUSSION
In many eukaryotes, the installation and maintenance of chromatin silencing is coupled
to Argonaute small RNA pathways that promote transmission to offspring. Here, we
have explored the role of a nuclear Argonaute HRDE-1 in coordinating transgenerational
silencing in the C. elegans germline. In addition to its known role in directing
heterochromatin silencing downstream of RNAi13,15 and Piwi Argonaute silencing,8,9,14
our tethering studies have shown that HRDE-1 is also de novo loaded with small RNA,
downstream of heterochromatin silencing, enabling it to prime a new round of small RNA
amplification within nuage (Figure 7C, model).
The nuclear silencing events that depend on HRDE-1 cause the target alleles to co-localize
into a single focus of DNA FISH signal (Figures 6P–6S and S6E). Presumably, the
heterochromatinized alleles within this focus are transcribed at low levels to produce
template RNA that feeds transgenerational silencing; indeed, the continued expression of
the target locus after heterochromatin induction is a conserved feature of co-transcriptional
small RNA silencing.36 Consistent with this idea, the inactivation of heterochromatin
silencing caused target alleles to remain separated and increased the levels of the nuclear-
and nuage-localized RNA signals as measured by RNA FISH. The failure to engage nuclear
silencing did not de-silence protein expression in the context of our tethering studies nor
indeed in previously published studies on nuclear-silencing mutants when an RNAi trigger is
present.13,15 Instead, our RNA FISH studies suggest that unabated transcription of the target
gene feeds increased levels of target RNA localization in nuage (also noted in a recent study
by Ouyang et al.37) and that small RNA levels also increase dramatically to compensate
and silence mRNA expression. Taken together, our findings suggest that when the nuclear
heterochromatin pathways are inactive, the target mRNA is silenced by a combination of
cytoplasmic clearance or trapping in the P granule.
In the yeast S. pombe, the RNAi-induced transcriptional silencing complex (RITS), which
includes an RdRP and a nuclear Argonaute AGO1p, resides in heterochromatin. A previous
study showed that tethering of AGO1p to RNA via a boxB reporter system, similar to the
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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one used here, was sufficient to recruit the RITS complex, induce small RNA amplification,
and drive reporter silencing25.
HRDE-1 associates with NRDE-2 and components of the nucleosome re-modeling
and deacetylase NuRD complex to establish heterochromatin silencing.15,18,38 How
heterochromatin leads to de novo programming of HRDE-1 is nevertheless unknown. In
C. elegans, the RdRP EGO-1 has been shown to associate with germline chromatin,39,40 and
several of our findings would be consistent with a cycle of nuclear small RNA transcription
and de novo HRDE-1 loading within heterochromatin. Such a mechanism could explain
why tethering NRDE-2 in the absence of HRDE-1 initiates heterochromatin silencing
but not small RNA amplification (Figures 2E and 3E). Perhaps after a nuclear cycle of
HRDE-1 loading, the protein exits the nucleus along with nascent target/template RNA to
further amplify small RNA production. Consistent with this idea, we have shown that the
N-terminal half of HRDE-1 is sufficient to stimulate small RNA amplification and loading
and that both the NTD and full-length HRDE-1 (as well as target RNA) localize within a
specialized nuage domain known as Mutator foci.
Mutator foci accumulate poly-UG-modified templates derived from target RNA27 and are
thought to serve in the amplification of small RNA signals that are propagated to offspring.
Thus, our findings suggest that HRDE-1 shuttles out of the nucleus to nuage to promote
small RNA amplification. A mutant HRDE-1 protein incapable of binding guide RNA
was sufficient (when tethered) to induce silencing that transmits to offspring via either
the sperm or the egg (Figures S7A and S7B). Thus, as previously reported,15 a functional
HRDE-1 RISC is not required in gametes for transgenerational silencing but is required
in offspring to renew silencing for another generation (Buckley et al.15 and Figure 1F).
In the parental germline, Mutator foci likely serve as locations where HRDE-1 and other
upstream Argonautes trigger the expansion of small RNAs that are loaded onto downstream
WAGO Argonautes, including the two prominent nuage-localized Argonautes WAGO-18
and WAGO-4.41 Consistent with this idea, silencing induced by λN::HRDE-1(Y669E) was
partially dependent on wago-1 (75% de-silenced, N = 32, and Figure S4G).
Taken together, our findings suggest that heterochromatin renews small RNA silencing (and
vice versa) during each germline life cycle. For example, small RNAs guide heterochromatin
formation in the zygote, and heterochromatin then propagates silencing before feeding back
into the de novo synthesis of guide RNAs that load onto HRDE-1. HRDE-1 promotes
expansion of small RNAs that are then transmitted to offspring through HRDE-1 and other
WAGOs to re-establish heterochromatin. Heterochromatin then, in turn, transcribes RNA
that forms templates for RdRP-dependent amplification, renewing the cycle. Consistent
with these ideas, neither pathway, small RNA or heterochromatin alone, is sufficient
to stably transmit silencing signals for multiple generations8,9,13,15 (Figures S7C–S7F).
Given the similarities between the worm and yeast mechanisms—and by extension, the
intriguing relationships between long non-coding RNAs and chromatin modifiers in flies
and mammals7—feedforward RNA-chromatin circuits that amplify and maintain silencing
across cell divisions or generations will likely be a common feature of gene regulation in
eukaryotes.
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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Limitations of the study
Page 12
In this study, we use an artificial mechanism to recruit RNA silencing factors to their targets.
Recruiting, factors via the λN/boxB system may elicit non-physiological mechanisms
that block gene expression. For example, tethering factors to the reporter UTR could
prevent proper recruitment of translation-initiation machinery or 3′ end processing factors.
Transcripts that are not processed properly (for example, unspliced mRNA11) could trigger
default recruitment of the same RNA silencing factors that mediate physiological silencing
in response to bona fide Argonaute-guided silencing. To control for such possibilities, we
used genetics to dissect the nature of the silencing pathways induced by tethering and
found that tethering different factors elicited different genetic dependencies for silencing.
For example, λN::NRDE-2 required nrde-4(+) activity for silencing but λN::HRDE-1
tethering did not. We have controlled for possible artifacts by initiating parallel studies on
untethered factors and by using a combination of genetics, microscopy, and RNA-expression
profiling. Together, these studies give us high confidence that tethering, in these instances,
has faithfully replicated actual physiological steps in silencing.
STAR★METHODS
RESOURCE AVAILABILITY
Lead contact—Further information and requests for resources and materials
should be directed to and will be fulfilled by the lead contact, Craig Mello
(Craig.Mello@umassmed.edu).
Materials availability—All materials generated in this study are available from the lead
contact without restrictions.
Data and code availability—Original small-RNA sequencing datasets are publicly
available in NCBI under the accession number BioProject: PRJNA874806.
This study did not generate any new code, but the scripts used in the study are available from
the lead contact upon request.
Any additional information required to reanalyze the data reported in this paper is available
from the lead contact upon request.
EXPERIMENTAL MODEL AND SUBJECT DETAILS
All the strains used in this study were derived from C. elegans Bristol N2 (CGC) and
cultured on nematode growth media (NGM) plates with E. coli OP5043 or E. coli HT115
for RNAi experiments. Strains used in this study were generated by CRISPR-cas9 method or
Cross (see Table S1 for details).
METHOD DETAILS
CRISPR-Cas9 genome editing—The Cas9 ribonucleoprotein (RNP) CRISPR strategy44
were used to edit the genome. Plasmid pRF4 containing rol-6 (su-1006) was used as
co-injection marker. For short insertions like λN and deletion mutations, synthesized
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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single-strand DNAs were used as the donor; for long insertions like GFP, mCherry, and
5xBoxB, the annealed PCR products were used instead. The gRNA and donor sequences
were listed in Table S2. The BoxB reporter strain was constructed based on a single copy
insertion of Ppie-1:GFP::his-58:unc-54UTR (WM701). The 5xBoxB sequence amplified
from a previously published strain JMC00222 was inserted before the unc-54 UTR.
Live worm fluorescent image—Young adult worms were transferred to glass slide in
M9 buffer with 0.4mM Tetramisole. Epifluorescence and differential interference contrast
(DIC) microscopy were performed on a Zeiss Axio Imager M2 Microscope and images were
processed with ZEN Microscopy Software (Zeiss). Confocal images were taken by a Andor
Dragonfly Spinning Disk confocal microscope. Confocal images were processed with Imaris
Microscopy Image Analysis Software.
Quantifying reporter RNA using qPCR—Young adult worms were collected and
washed with M9 for three times and ddH2O once. Total RNA was extracted with TRIZOL
and treated with DNase I to remove DNA contamination. First strand cDNA was synthesized
by Superscript IV with random hexamers. Quantitative PCR was performed on a Quant
studio 5 Real-time PCR machine together with Fast SYBR Green Master Mix. Actin was
used as internal reference (primer set S5265 and S527). Primer set of oYD826 and oYD827
were used for reporter. All primers used were listed in Table S2.
CHIP-qPCR—A traditional worm CHIP method45 was applied to the young adult worm
samples. Anti H3K9me3 antibody (Upstate 07523) and CHIP grade IgA/G magnetic beads
were used for the immunoprecipitation. During elution, RNase A and Protease K were used
to remove RNA and proteins. For qPCR, actin was used as internal reference. All primers
used were listed in Table S2.
Small RNA cloning and data analysis—Small RNA cloning was conducted as
previously reported.6 Synchronized young adult worms were collected and total RNA were
purified with Trizol. Two biological repeats were included for each strain. Small RNAs were
enriched using a mirVana miRNA isolation kit. Homemade PIR-1 was used to remove the
di or triphosphate at the 5′ to generate 5′ monophosphorylated small RNA. Adaptors of 3’
(DA35) and 5’ (DA4) were ligated to the small RNA by T4 RNA ligase 2 (NEB) and T4
ligase 1 (NEB) sequentially. Reverse transcription was performed with SuperScript III and
RT primer (DA5). After PCR amplification, productions around 150 bp were separated by
12% SDS-PAGE and equally mixed. Libraries were sequenced on a NextSeq 550 sequencer
with the illumina NextSeq 500/550 high output kit in 75bp single-end sequencing mod.
Reads were trimmed by cutadapt and mapped using Bowtie2.42 For small RNAs mapped
to the reporter, total reads with length longer than 16 nt were used to normalized between
samples. Plots were generated by R and R studio.
QUANTIFICATION AND STATISTICAL ANALYSIS
To determine the genes with increased or decreased antisense small RNAs (Figures S4B
and S4C), small RNAs were cloned and sequenced as described above with two biological
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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repeats for each strain. DEseq2 package in R was used to find out genes with 2-fold decrease
of antisense small RNA (p value ≤ 0.05) in hrde-1(null) or hrde-1(Y669E) compared to WT.
Structure prediction—The 3D structure of HRDE-1 was predicted by I-TASSER online
server33 with default setting. HRDE-1 structure was aligned with hAgo2 by PyMOL46 and
its domains were annotated based on the alignment.
pUG RNA analysis—As previously reported,27 total RNAs were extracted with Trizol.
SuperScript IV was used to generate the first strand DNA with reverse transcription primer
oYD1001. A pair of outer primers (oYD998 and oYD1002) were used for the first round
PCR amplification with Taq DNA polymerase. After 100-fold dilution, another round of
PCR was performed with a pair of inner primers (oYD256 and oYD1003). PCR products
were analyzed by 1.5% agarose gels. DNA bands were purified, cloned with TOPO TA
Cloning Kit and sent for sanger sequencing. gsa-1 served as a control for pUG PCR analysis.
RNA FISH—Worms at young adult stage were dissected in Happy Buffer (81mM
HEPES pH 6.9, 42mM NaCl, 5mM KCl, 2mM MgCl2, 1mM EGTA) (From personal
correspondence with James Priess). Dissected gonads were transferred to poly-lysine treated
dish with 80 μl of Happy Buffer and fixed by adding equal volume of 5% formaldehyde in
PBST (PBS+0.1% Tween 20) for 30 min. After one wash with PBST, gonads were treated
with PBST-Triton (PBST+0.1% Triton) for 10 min, washed with PBST again and emerged
in 70% ethanol for 30 min to overnight. Before hybridization, samples were washed with
fresh wash buffer (2xSSC +10% formamide) for 5 min hybridization was performed at 37°C
for 18 h to overnight in hybridization buffer (900 μl Stellaris RNA FISH Hybridization
Buffer+ 100ul formamide) with 10 pmol RNA FISH probes. Samples were washed with
wash buffer, once quick wash, one wash for 30 min at 37°C and two quick washes.
Mounting medium with DAPI was added to preserve the signal. Confocal images were taken
with an Andor Dragonfly Spinning Disk confocal microscope and processed with Fusion
and Imaris.
DNA FISH—Same to RNA FISH, gonads were dissected, fixed and washed with PBST
and treated with 70% ethanol. Then, samples were washed with wash buffer three times,
one at room temperature for 5 min, one at 95°C for 3 min, and one at 60°C for 20
min. Hybridization was performed in hybridization buffer (700 μl Stellaris RNA FISH
Hybridization Buffer +300 μl formamide + primary probes (final 10 pmol) + detection
probe (final 10 pmol)) at 95°C for 5 min and then transferred to 37°C for 3 h to overnight.
After hybridization, samples were wash with 2xSSC for 20 min at 60°C, and then 2xSSCT
(2xSSC +0.3% Triton X-100) for 5 min at 60°C and another 20 min at 60°C.
After another wash with 2xSSCT for 5 min at room temperature, samples were preserved
in the mounting medium with DAPI. Confocal images were taken with an Andor Dragonfly
Spinning Disk confocal microscope and processed with Fusion and Imaris. Primary probes
of DNA FISH were picked from the oligo lists generated by OligoMiner.47
RNAi experiments—Synchronous L1 worms of the reporter strain were plated on NGM
plates for 48 h. Then the worms were collected and washed with M9. About 100 worms
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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were plated on every IPTG plate with the gfp RNAi food. After 24 h, worms were dissected
for the FISH experiment. RNA FISH and DNA FISH were performed as described above.
Supplementary Material
Refer to Web version on PubMed Central for supplementary material.
ACKNOWLEDGMENTS
We thank members of Mello and Ambros labs for discussions; James Priess (Fred Hutchinson Cancer Center) for
sharing the receipt of happy buffer and imaging experiences; Weifeng Gu (University of California, Riverside) for
providing the PIR-1 protein for small RNA cloning; Ahmet Ozturk for building the small RNA analysis pipeline;
Darryl Conte for critical comments and edits on the manuscript; and the RNA Therapeutics Institute for offering
the Nextseq 550 sequencing machine. The work was supported by NIH funding (GM058800 and HD078253) to
C.C.M. C.C.M. is a Howard Hughes Medical Institute Investigator.
REFERENCES
1. Kasschau KD, Fahlgren N, Chapman EJ, Sullivan CM, Cumbie JS, Givan SA, and Carrington JC
(2007). Genome-wide profiling and analysis of Arabidopsis siRNAs. PLoS Biol. 5, e57. [PubMed:
17298187]
2. Czech B, Malone CD, Zhou R, Stark A, Schlingeheyde C, Dus M, Perrimon N, Kellis M,
Wohlschlegel JA, Sachidanandam R, et al. (2008). An endogenous small interfering RNA pathway
in Drosophila. Nature 453, 798–802. [PubMed: 18463631]
3. Ghildiyal M, Seitz H, Horwich MD, Li C, Du T, Lee S, Xu J, Kittler ELW, Zapp ML, Weng Z,
and Zamore PD (2008). Endogenous siRNAs derived from transposons and mRNAs in Drosophila
somatic cells. Science 320, 1077–1081. [PubMed: 18403677]
4. Tam OH, Aravin AA, Stein P, Girard A, Murchison EP, Cheloufi S, Hodges E, Anger M,
Sachidanandam R, Schultz RM, and Hannon GJ (2008). Pseudogene-derived small interfering
RNAs regulate gene expression in mouse oocytes. Nature 453, 534–538. [PubMed: 18404147]
5. Watanabe T, Totoki Y, Toyoda A, Kaneda M, Kuramochi-Miyagawa S, Obata Y, Chiba H, Kohara
Y, Kono T, Nakano T, et al. (2008). Endogenous siRNAs from naturally formed dsRNAs regulate
transcripts in mouse oocytes. Nature 453, 539–543. [PubMed: 18404146]
6. Gu W, Shirayama M, Conte D Jr., Vasale J, Batista PJ, Claycomb JM, Moresco JJ, Youngman EM,
Keys J, Stoltz MJ, et al. (2009). Distinct argonaute-mediated 22G-RNA pathways direct genome
surveillance in the C. elegans germline. Mol. Cell 36, 231–244. [PubMed: 19800275]
7. Weick E-M, and Miska EA (2014). piRNAs: from biogenesis to function. Development 141, 3458–
3471. [PubMed: 25183868]
8. Shirayama M, Seth M, Lee H-C, Gu W, Ishidate T, Conte D Jr., and Mello CC (2012). piRNAs
initiate an epigenetic memory of nonself RNA in the C. elegans germline. Cell 150, 65–77.
[PubMed: 22738726]
9. Ashe A, Sapetschnig A, Weick E-M, Mitchell J, Bagijn MP, Cording AC, Doebley A-L, Goldstein
LD, Lehrbach NJ, Le Pen J, et al. (2012). piRNAs can trigger a multigenerational epigenetic
memory in the germline of C. elegans. Cell 150, 88–99. [PubMed: 22738725]
10. Fire A, Xu S, Montgomery MK, Kostas SA, Driver SE, and Mello CC (1998). Potent and specific
genetic interference by double-stranded RNA in Caenorhabditis elegans. nature 391, 806–811.
[PubMed: 9486653]
11. Makeyeva YV, Shirayama M, and Mello CC (2021). Cues from mRNA splicing prevent default
Argonaute silencing in C. elegans. Dev. Cell 56, 2636–2648.e4. [PubMed: 34547227]
12. Lee HC, Gu W, Shirayama M, Youngman E, Conte D Jr., and Mello CC (2012). C. elegans
piRNAs mediate the genome-wide surveillance of germline transcripts. Cell 150, 78–87. 10.1016/
j.cell.2012.06.016. [PubMed: 22738724]
13. Spracklin G, Fields B, Wan G, Becker D, Wallig A, Shukla A, and Kennedy S (2017). The RNAi
inheritance machinery of Caenorhabditis elegans. Genetics 206, 1403–1416. [PubMed: 28533440]
Cell Rep. Author manuscript; available in PMC 2023 August 22.
A
u
t
h
o
r
M
a
n
u
s
c
r
i
p
t
A
u
t
h
o
r
M
a
n
u
s
c
r
i
p
t
A
u
t
h
o
r
M
a
n
u
s
c
r
i
p
t
A
u
t
h
o
r
M
a
n
u
s
c
r
i
p
t
Ding et al.
Page 16
14. Sapetschnig A, Sarkies P, Lehrbach NJ, and Miska EA (2015). Tertiary siRNAs mediate
paramutation in C. elegans. PLoS Genet. 11, e1005078.
15. Buckley BA, Burkhart KB, Gu SG, Spracklin G, Kershner A, Fritz H, Kimble J, Fire A, and
Kennedy S (2012). A nuclear Argonaute promotes multigenerational epigenetic inheritance and
germline immortality. Nature 489, 447–451. [PubMed: 22810588]
16. Rechavi O, i-Ze’evi L, Anava S, Goh WSS, Kerk SY, Hannon GJ, and Hobert O (2014).
Starvation-induced transgenerational inheritance of small RNAs in C. elegans. Cell 158, 277–287.
[PubMed: 25018105]
17. Almeida MV, Andrade-Navarro MA, and Ketting RF (2019). Function and evolution of nematode
RNAi pathways. Noncoding. RNA 5, 8. [PubMed: 30650636]
18. Kim H, Ding Y-H, Zhang G, Yan Y-H, Conte D Jr., Dong M-Q, and Mello CC (2021). HDAC1
SUMOylation promotes Argonaute-directed transcriptional silencing in C. elegans. Elife 10,
e63299.
19. Towbin BD, González-Aguilera C, Sack R, Gaidatzis D, Kalck V, Meister P, Askjaer P, and Gasser
SM (2012). Step-wise methylation of histone H3K9 positions heterochromatin at the nuclear
periphery. Cell 150, 934–947. [PubMed: 22939621]
20. Luteijn MJ, Van Bergeijk P, Kaaij LJT, Almeida MV, Roovers EF, Berezikov E, and Ketting
RF (2012). Extremely stable Piwi-induced gene silencing in Caenorhabditis elegans. The EMBO
journal 31, 3422–3430. [PubMed: 22850670]
21. Baron-Benhamou J, Gehring NH, Kulozik AE, and Hentze MW (2004). Using the λN peptide to
tether proteins to RNAs. In mRNA Processing and Metabolism (Springer), pp. 135–153.
22. Wedeles CJ, Wu MZ, and Claycomb JM (2013). Protection of germline gene expression by the C.
elegans Argonaute CSR-1. Dev. Cell 27, 664–671. [PubMed: 24360783]
23. Aoki ST, Lynch TR, Crittenden SL, Bingman CA, Wickens M, and Kimble J (2021). C.
elegans germ granules require both assembly and localized regulators for mRNA repression. Nat.
Commun. 12, 996–1014. [PubMed: 33579952]
24. Cornes E, Bourdon L, Singh M, Mueller F, Quarato P, Wernersson E, Bienko M, Li B, and Cecere
G (2022). piRNAs initiate transcriptional silencing of spermatogenic genes during C. elegans
germline development. Dev. Cell 57, 180–196.e7. [PubMed: 34921763]
25. Bühler M, Verdel A, and Moazed D (2006). Tethering RITS to a nascent transcript initiates
RNAi-and heterochromatin-dependent gene silencing. Cell 125, 873–886. [PubMed: 16751098]
26. Phillips CM, Montgomery TA, Breen PC, and Ruvkun G (2012). MUT-16 promotes formation of
perinuclear mutator foci required for RNA silencing in the C. elegans germline. Genes Dev. 26,
1433–1444. [PubMed: 22713602]
27. Shukla A, Yan J, Pagano DJ, Dodson AE, Fei Y, Gorham J, Seidman JG, Wickens M, and Kennedy
S (2020). Poly (UG)-tailed RNAs in genome protection and epigenetic inheritance. Nature 582,
283–288. [PubMed: 32499657]
28. Zhang C, Montgomery TA, Gabel HW, Fischer SEJ, Phillips CM, Fahlgren N, Sullivan CM,
Carrington JC, and Ruvkun G (2011). mut-16 and other mutator class genes modulate 22G and
26G siRNA pathways in Caenorhabditis elegans. Proc. Natl. Acad. Sci. USA 108, 1201–1208.
[PubMed: 21245313]
29. Guang S, Bochner AF, Burkhart KB, Burton N, Pavelec DM, and Kennedy S (2010). Small
regulatory RNAs inhibit RNA polymerase II during the elongation phase of transcription. Nature
465, 1097–1101. [PubMed: 20543824]
30. Jiao AL, Perales R, Umbreit NT, Haswell JR, Piper ME, Adams BD, Pellman D, Kennedy S, and
Slack FJ (2019). Human nuclear RNAi-defective 2 (NRDE2) is an essential RNA splicing factor.
RNA 25, 352–363. [PubMed: 30538148]
31. Billi AC, Fischer SE, and Kim JK Endogenous RNAi pathways in C. elegans (May 7, 2014).
WormBook, ed. The C. elegans Research Community, WormBook, 10.1895/wormbook.1.170.1,
[http://www.wormbook.org].
32. Rüdel S, Wang Y, Lenobel R, Körner R, Hsiao H-H, Urlaub H, Patel D, and Meister G (2011).
Phosphorylation of human Argonaute proteins affects small RNA binding. Nucleic Acids Res. 39,
2330–2343. [PubMed: 21071408]
Cell Rep. Author manuscript; available in PMC 2023 August 22.
A
u
t
h
o
r
M
a
n
u
s
c
r
i
p
t
A
u
t
h
o
r
M
a
n
u
s
c
r
i
p
t
A
u
t
h
o
r
M
a
n
u
s
c
r
i
p
t
A
u
t
h
o
r
M
a
n
u
s
c
r
i
p
t
Ding et al.
Page 17
33. Yang J, and Zhang Y (2015). I-TASSER server: new development for protein structure and
function predictions. Nucleic Acids Res. 43, W174–W181. [PubMed: 25883148]
34. Schirle NT, Sheu-Gruttadauria J, and MacRae IJ (2014). Structural basis for microRNA targeting.
Science 346, 608–613. [PubMed: 25359968]
35. Uebel CJ, Anderson DC, Mandarino LM, Manage KI, Aynaszyan S, and Phillips CM (2018).
Distinct regions of the intrinsically disordered protein MUT-16 mediate assembly of a small RNA
amplification complex and promote phase separation of Mutator foci. PLoS Genet. 14, e1007542.
36. Holoch D, and Moazed D (2015). RNA-mediated epigenetic regulation of gene expression. Nat.
Rev. Genet. 16, 71–84. [PubMed: 25554358]
37. Ouyang JPT, Zhang WL, and Seydoux G (2022). The conserved helicase ZNFX-1 memorializes
silenced RNAs in perinuclear condensates. Nat. Cell Biol. 24, 1129–1140. [PubMed: 35739318]
38. Wan G, Yan J, Fei Y, Pagano DJ, and Kennedy S (2020). A conserved NRDE-2/MTR-4
complex mediates nuclear RNAi in Caenorhabditis elegans. Genetics 216, 1071–1085. [PubMed:
33055090]
39. Maine EM, Hauth J, Ratliff T, Vought VE, She X, and Kelly WG (2005). EGO-1, a putative
RNA-dependent RNA polymerase, is required for heterochromatin assembly on unpaired DNA
during C. elegans meiosis. Curr. Biol. 15, 1972–1978. [PubMed: 16271877]
40. Claycomb JM, Batista PJ, Pang KM, Gu W, Vasale JJ, van Wolf-swinkel JC, Chaves DA,
Shirayama M, Mitani S, Ketting RF, et al. (2009). The Argonaute CSR-1 and its 22G-RNA
cofactors are required for holocentric chromosome segregation. Cell 139, 123–134. [PubMed:
19804758]
41. Xu F, Feng X, Chen X, Weng C, Yan Q, Xu T, Hong M, and Guang S (2018). A cytoplasmic
Argonaute protein promotes the inheritance of RNAi. Cell Rep. 23, 2482–2494. [PubMed:
29791857]
42. Langmead B, and Salzberg SL (2012). Fast gapped-read alignment with Bowtie 2. Nat. Methods 9,
357–359. [PubMed: 22388286]
43. Brenner S (1974). The genetics of Caenorhabditis elegans. Genetics 77, 71–94. [PubMed:
4366476]
44. Dokshin GA, Ghanta KS, Piscopo KM, and Mello CC (2018). Robust genome editing with
short single-stranded and long, partially single-stranded DNA donors in Caenorhabditis elegans.
Genetics 210, 781–787. [PubMed: 30213854]
45. Askjaer P, Ercan S, and Meister P (2014). Modern techniques for the analysis of chromatin and
nuclear organization in C. elegans. WormBook, 1–35. 10.1895/wormbook.1.169.1.
46. Schrodinger L (2010). The PyMOL Molecular Graphics System, Version 2.4.0 (Schrodinger, L.).
47. Beliveau BJ, Kishi JY, Nir G, Sasaki HM, Saka SK, Nguyen SC, Wu C. t., and Yin P (2018).
OligoMiner provides a rapid, flexible environment for the design of genome-scale oligonucleotide
in situ hybridization probes. Proc. Natl. Acad. Sci. USA 115, E2183–E2192. [PubMed: 29463736]
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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Highlights
•
•
•
•
Nuclear Argonaute HRDE-1 separately induces heterochromatin and small
RNA production
HRDE-1 induces target alleles to merge into a single focus of
heterochromatin
Transcription within heterochromatin feeds de novo loading of HRDE-1 with
small RNAs
HRDE-1 shuttles to nuage and promotes small RNA production via its N-
terminal domain
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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Figure 1. HRDE-1 tethering caused reporter silencing and generated the silencing memory
(A) Scheme of λN-BoxB tethering system. A sequence encoding five BoxB hairpins
(5xBoxB) was inserted immediately after the coding region of the GFP::his-58(H2B)
transgene and before the unc-54 3′ UTR. The reporter is driven by the pie-1 promoter
(Ppie-1). The BoxB sites recruit λN::HRDE-1 or λN::NRDE-2 fusion proteins, thereby
tethering HRDE-1 or NRDE-2 to the reporter RNA.
(B) Representative fluorescence image of a syncytial germline (outlined by dashed lines) in
the absence of tethering. The image represents 100% of worms scored, N > 30.
(C) Representative fluorescence image in the presence of HRDE-1 tethering. The image
represents 100% of worms scored, N > 30.
(D) Representative fluorescence image in the presence of NRDE-2 tethering. The image
represents 100% of worms scored, N > 30.
(E and F) Analysis of inherited silencing triggered by λN::HRDE-1 tethering. After outcross
to hrde-1 wild type (E) or hrde-1 null (F), reporter worms were scored for gfp expression for
13 generations after segregating away the λN::hrde-1 allele. The percentage of GFP+ (ON)
or GFP– (OFF) worms is indicated, N > 30 worms scored in each generation.
(G) Color chart showing genetic requirements of inherited silencing triggered by
λN::HRDE-1 tethering. The λN::hrde-1; reporter worms were crossed to the indicated
mutants. After segregating away λN::hrde-1, reporter worms homozygous for the indicated
mutations were scored for GFP expression: ON or OFF, as indicated. N > 30 worms scored
for each genotype.
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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Figure 2. HRDE-1 and NRDE-2 tethering induce heterochromatin formation
(A and B) Quantification of H3K9me3 levels near the reporter in the presence or absence
of HRDE-1 or NRDE-2 tethering, as determined by chromatin immunoprecipitation (ChIP)-
qPCR. P1 and P4 primer sets analyze sequences 5 kb upstream or downstream of the
reporter, and P2 and P3 analyze sequences within the reporter, as indicated in the schematic.
All quantities were normalized to the level of P1 in reporter control samples. Error bars
show the standard deviation from the mean.
(C and D) Bar graphs showing the quantification of reporter RNA and pre-mRNA levels in
response to HRDE-1 or NRDE-2 tethering, as determined by qPCR. The average quantities
relative to wild type (WT) are indicated. Error bars show the standard deviation from the
mean.
(E and F) Color chart showing the genetic requirements of silencing in the presence of
λN::NRDE-2 or λN::HRDE-1. Reporter worms homozygous for the indicated mutations
were scored for GFP expression: ON or OFF, as indicated. N > 30 worms scored for each
genotype. *GFP is ON, but signal is weak (see Figure S2H).
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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Figure 3. HRDE-1 and NRDE-2 tethering promote antisense small RNA production
(A) Plot showing antisense small RNA reads (per million total reads) mapping to the
reporter (indicated below the plot) in the absence of tethering. Only the first nucleotide is
counted. Green boxes, GFP coding; blue box, H2B coding; pink boxes, BoxB hairpins.
(B–E) Genetic requirements of small RNAs induced by NRDE-2 tethering. Plots showing
antisense small RNA reads mapping to the reporter in the presence of λN::NRDE-2 in WT
(B), nrde-4 (C), rde-3 (D), or hrde-1 (E) worms.
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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(F–I) Genetic requirements of small RNAs induced by HRDE-1 tethering. Plots showing
antisense small RNA reads mapping to the reporter in the presence of λN::HRDE-1 in WT
(F), nrde-2 (G), rde-3 (H), or mut-16 (I) worms.
(J–M) Genetic requirements of inherited small RNAs induced by HRDE-1 tethering. Plots
showing antisense small RNA reads mapping to the reporter in WT (F), nrde-2 (G), rde-3
(H), or mut-16 (I) worms after segregating λN::HRDE-1.
Note that in (G), the y axis is compressed 50% compared with other plots to conserve space.
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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Figure 4. HRDE-1 guide RNA loading is not required for small RNA amplification
(A) Western blot analysis to detect GFP::HRDE-1 and GFP::HRDE-1(Y669E) in worm
lysates. Top panel: probed with anti-GFP antibody. GFP::HRDE-1 was indicated. Bottom
panel: probed with anti-tubulin antibody as a loading control.
(B) Confocal images showing the localization of GFP::HRDE-1(WT) or
GFP::HRDE-1(Y669E) with mCherry::GLH-1 as P granule marker. The white dashed lines
outline a gonadal arm of the germline.
(C) Representative fluorescence (left panels) and differential interference contrast (DIC;
right) images showing that λN::HRDE-1(Y669E) silences the BoxB reporter in WT worms
(top panels, OFF) but not in rde-3 mutant worms (bottom panels, ON). The images represent
100% of the animals scored, N > 30.
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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(D) Bar graphs showing the quantification of reporter RNA and pre-mRNA levels in
response to HRDE-1(Y669E) tethering, determined by qPCR. The average quantities
relative to WT are indicated. Error bars show the standard deviation from the mean.
(E and F) Plots showing antisense small RNA reads mapping to the reporter in the presence
of λN::HRDE-1(Y669E) in WT (E) or rde-3 (F) worms.
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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Figure 5. HRDE-1 N-terminal domain promotes small RNA amplification and poly-UG
modification
(A) Schematic showing HRDE-1 linear domain structure and truncations tested. The
subdomains are color coded based on human Ago2 (Figure S5A). The percentage of GFP+
worms (ON) is indicated, N > 30 worms scored in each test.
(B) Predicted three-dimensional structures of HRDE-1 N-terminal domain (NTD) and C-
terminal domain (CTD). Subdomains as in (A).
(C) Color chart indicating the expression (ON) or silencing (OFF) of the reporter in the
presence of λN::CTD or λN::NTD and the requirement of nrde-2 or rde-3. N > 30 worms
scored for each genotype.
(D and E) Plots showing antisense small RNA reads mapping to the reporter in the presence
of λN::NTD in WT (D) or rde-3 worms (E).
(F) Bar graphs showing the quantification of reporter RNA and pre-mRNA levels in
response to NTD tethering, as determined by qPCR. The average quantities relative to the
control are indicated. Error bars show the standard deviation from the mean.
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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(G and H) Analysis of poly-UG modification of reporter RNA in response to tethering in the
indicated mutants. Poly-UG PCR products in (G) were cloned and sequenced to identify the
precise positions of poly-UG addition (H), indicated by arrowheads. A gsa-1-specific PCR
was used as loading control.
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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Figure 6. HRDE-1 localizes in Mutator foci, and HRDE-1 tethering caused peri-nuclear
accumulation of reporter RNA in nuclear silencing mutants
(A and B) Confocal image of live germ cells showing the co-localization of GFP::HRDE-1
with mCherry::GLH-1 (A) and MUT-16::mCherry (B). Each subpanel shows a projected
view of a segment of the germline to the left, and the nucleus bounded by a dashed box is
shown as a single-focal-plane image to the right. Yellow arrows point to peri-nuclear foci
where HRDE-1 co-localizes with GLH-1 and MUT-16.
(C and D) Confocal images of live germ cells showing the co-localization of
GFP::HRDE-1(NTD) with mCherry::GLH-1 (C) and MUT-16::mCherry (D). As in (A) and
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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Page 28
(B). (E and F) Confocal images of RNA FISH experiments showing the localization of
reporter RNA with mCherry::GLH-1 (left) or MUT-16::mCherry (right) in control worms
(E) or in worms exposed to gfp RNAi (F). Magenta, RNA; green, GLH-1 or MUT-16; and
blue, DAPI. Each subpanel shows a projected view of a segment of a representative germline
to the left, and the nucleus bounded by a dashed box is shown as a single-focal-plane image
with DNA and GLH-1 or MUT-16 signals (center) or with DNA signal only (right). Yellow
arrows point to nuclear RNA foci that likely correspond to transcription sites.
(G and H) As in (F) but in hrde-1 (G) or nrde-2 (H) mutant worms.
(I) Bar graphs showing the percentage of nuclei from (E)–(H) containing one reporter RNA
focus (orange) or two or more reporter RNA foci (light green). Three independent germlines
were measured for each condition. Error bars show the standard deviation from the mean.
(J) Bar graphs showing the percentage of nuclei from DNA FISH (Figure S6E) containing
one reporter DNA focus or two or more reporter DNA foci. Similar to (I). (K–N) Confocal
images of RNA FISH showing the localization of reporter RNA with mCherry::GLH-1 (left)
or MUT-16::mCherry (right) in the absence (K) or presence (L–N) of HRDE-1 tethering, as
indicated. Details as in (E) and (F).
(O) Bar graphs showing the percentage of nuclei from (J)–(N) containing one reporter RNA
focus (peach) or two or more reporter RNA foci (light green).
(P–S) Confocal images of DNA FISH experiments showing the localization of reporter DNA
loci in the absence (P) or presence (Q–S) of HRDE-1 tethering, as indicated. Green, DNA
FISH signal; blue, DAPI. A projected view of a segment of a representative germline is
shown to the left, and the nucleus bounded by a dashed box is shown as a single-focal-plane
image to the right. Yellow arrows point to the nuclear DNA signals.
(T) Bar graphs showing the percentage of nuclei from DNA FISH experiments in (P)–(S)
containing one reporter DNA focus or two or more reporter DNA foci. Details as in (I).
Cell Rep. Author manuscript; available in PMC 2023 August 22.
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Figure 7. Model of HRDE-1-mediated self-enforcing mechanism
(A and B) Confocal images showing the localization of GFP::HRDE-1 with
mCherry::GLH-1 in WT worms (A) and mut-16 mutants (B). Green, GFP::HRDE-1 (left);
magenta, mCherry::GLH-1 (middle); merge (right). Each subpanel shows a projected image
of a representative pachytene region of the germline to the left, and the nucleus bounded by
a dashed box is shown as a single-focal-plane image to the right.
(C) Model (see Discussion).
Cell Rep. Author manuscript; available in PMC 2023 August 22.
Ding et al.
Page 30
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| null |
10.1088_1402-4896_ad0b51.pdf
|
Data availability statement
The data cannot be made publicly available upon publication because they are not available in a format that is
sufficiently accessible or reusable by other researchers. The data that support the findings of this study are
available upon reasonable request from the authors.
|
Data availability statement The data cannot be made publicly available upon publication because they are not available in a format that is sufficiently accessible or reusable by other researchers. The data that support the findings of this study are available upon reasonable request from the authors.
|
RECEIVED
22 September 2023
REVISED
5 November 2023
ACCEPTED FOR PUBLICATION
9 November 2023
PUBLISHED
23 November 2023
Phys. Scr. 98 (2023) 125518
https://doi.org/10.1088/1402-4896/ad0b51
PAPER
Efficient infrared nine-channel reflective polarization-dependent
splitter
, Bo Wang∗
Guoyu Liang
School of Physics and Optoelectronic Engineering, Guangdong University of Technology, Guangzhou 510006, People’s Republic of China
∗ Author to whom any correspondence should be addressed.
E-mail: wangb_wsx@yeah.net
and Yuqing Xu
Keywords: polarization sensitivity, addition-shaped grating, simulated annealing algorithm, nine-channel splitter.
Abstract
In order to meet the requirements of a multi-beam splitter in optical communication systems, an
efficient infrared nine-channel reflective polarization-dependent beam splitter based on an addition-
shaped ridge structure is proposed. All structural parameters of this polarization-dependent beam
splitter are derived from the rigorous coupled-wave analysis. Upon the vertical entry of a plane wave
with a wavelength of 800 nm into the grating, for transverse magnetic polarization, the diffraction
efficiencies are 10.66%, 10.69%, 10.69%, 10.65%, and 10.67% at 0th, ±1st, ±2nd, ±3rd and ±4th
orders, respectively. For transverse electric polarization, the diffraction efficiencies of the 0th, ±1st,
±2nd, ±3rd and ±4th orders are 10.79%, 10.86%, 10.88%, 10.84%, and 10.86%, respectively. In
addition, the tolerance analysis in this paper reveals the practicality and efficiency of this beam splitter.
Therefore, the addition-shaped ridge structure has a good performance of uniformity and broad
application prospects in nine-channel reflective applications.
1. Introduction
Beam splitter have a crucial role in various optical systems that can be widely used in the design of optical
components [1–4], such as sensors [5, 6], interferometers [7–9], photonic crystal [10–14], and optical
communication [15–19], etc. Reflective beam splitter is an important type of beam splitter [20–22]. Over the
past few years, in the production and application field, multi-channel reflective beam splitters have gained
significant attention from researchers due to the advancements in ultra-precision optical devices [23–28]. Lin
et al developed a polarization-sensitive terahertz reflective multi-channel beam splitter [29]. The splitter utilizes
resonance-domain diffraction gratings with periods similar to the incident wavelength, enabling effective multi-
channel beam separation. Zhou et al introduced a two-dimensional (2D) reflective grating with remarkable
polarization selectivity [30]. Through rigorous coupled wave analysis, they determined that the grating exhibited
high sensitivity to the polarization states of incoming light. Consequently, this versatile 2D grating holds
considerable potential for optical communication applications. Jin et al proposed a reflective polarizing beam
splitter grating, which utilizes a multilayer metal-dielectric structure as its foundation [31]. The grating is
optimized by the simplified simulated annealing method and has a high extinction ratio and high diffraction
efficiency. Huang et al analyzed an analysis on a nanodisk array-based multi-port two-dimensional (2D)
reflective grating, which demonstrates the capability for high-efficiency optical control at communication
wavelengths, specifically for four-port and five-port configurations [32]. Although there are many multi-
channel reflective grating studies, the nine-channel reflection polarization-dependent beam splitter is rare.
In this paper, an addition-shaped ridge reflective polarization-dependent beam splitter is proposed. With a
wavelength of 800 nm, through the optimization of rigorous coupled-wave analysis and simulated annealing
algorithm, the polarization-dependent beam splitter with nine channels of uniform and efficient output can be
obtained, and the total diffraction efficiency can reach more than 96%. And the reflective efficiency of each order
under TM polarization is 10.66%, 10.69%, 10.69%, 10.65%, and 10.67%, respectively. Meanwhile, the paper
also makes the tolerance analysis on the duty cycle, grating period, and grating ridge thickness of this
© 2023 IOP Publishing Ltd
Phys. Scr. 98 (2023) 125518
G Liang et al
Figure 1. The (a) two-dimensional and (b) three-dimensional schematic diagram of a nine-channel reflective polarization-dependent
beam splitter at normal incidence.
polarization-dependent beam splitter. Through the analysis results, it can be concluded that each structural
parameter of the grating has good manufacturing tolerance, so the structure can be well used in industrial
applications. Finally, to verify the accuracy of the calculation results of the rigorous coupled-wave analysis and
the simulated annealing algorithm, the paper also uses the finite element method (FEM) to solve the reflection
efficiency of the polarization-dependent beam splitter at each order to enhance the credibility of the data in this
paper. According to the performance of polarization-dependent optical devices, precision instruments such as
interferometers [33, 34], and fiber optic sensors [35, 36] can be designed.
2. Structure of addition-shaped reflective beam splitter
The two-dimensional and three-dimensional images of the polarization-dependent beam splitter with a cross-
shaped grating ridge are shown in figures 1(a) and (b). As figure 1(a) shows, the grating ridge of the polarization-
dependent beam splitter is designed to be an addition-shaped structure, which means that the duty cycle f1 of the
first layer is the same as the third layer’s duty cycle f3. Meanwhile, f1 and f3 are all smaller than the second layer’s
duty cycle f2. In addition, below the grating ridge is a reflective layer of Ag and the substrate is fused silica. In the
z-axis direction, from top to bottom, the addition-shaped grating ridge is defined as the first layer, second layer,
and third layer. Therefore, the thickness of the grating ridge is characterized as h1, h2, and h3. The thickness of the
2
Phys. Scr. 98 (2023) 125518
G Liang et al
Figure 2. The schematic diagram of the etching region.
Table 1. Parameters of nine-channel polarization-dependent beam splitter after optimization.
TE polarization
h1(nm)
h2(nm)
h3(nm)
hm(nm)
753
1694
1049
100
TM polarization
h1(nm)
h2(nm)
h3(nm)
hm(nm)
1349
1213
1613
100
f1
0.4
f1
0.4
f2
0.6
f2
0.6
f3
0.4
f3
0.4
d(nm)
3743
d(nm)
3344
metallic mirror silver is defined as hm. The d in figure 1(a) is the grating period of the polarization-dependent
beam splitter and the width of each layer of the grating ridge is defined as d1, d2, and d3. Hence, the duty cycle of
each layer is defined as f1, f2, and f3 respectively. The duty cycle fi is di/d and i represents the corresponding layer
of grating ridge. When the wavelength is 800 nm, the refractive index n2of the grating ridge, whose substance is
resin, is 1.51, the refractive index n1 of the fused silica is 1.45 and the refractive index nm of the metallic mirror
*
silver is 0.469–9.32
i. Besides, the medium of the grating groove is air and the refractive index n0 is 1.00.
According to [37, 38], the cost-effective and time-efficient fabrication of the addition-shaped structure
mentioned in the study can be achieved through dry etching [39, 40] and HF etching [41, 42] methods. A layer of
SiO2 is initially applied to the substrate, followed by the uniform deposit of resin and Ag. Under the protection of
the photoresist, excess silica in region I of figure 2 can be removed by dry etching and HF etching. Then, a cross-
shaped resin grating ridge can be obtained.
The objective of this study is to create an infrared reflective nine-channel beam splitter that possesses an
addition-shaped structure, exhibits high total efficiency, and demonstrates moderate efficiency uniformity.
Therefore, the polarization-dependent beam splitter is optimized by rigorous coupled-wave analysis
(RCWA) and simulated annealing algorithm (SAA). The RCWA is utilized in this study to solve Maxwell’s
equations specifically for the grating layer. This enables the determination of the diffractive efficiency for each
order. For a more comprehensive understanding of the calculation procedure, readers are recommended to
consult [43, 44] for detailed information. These references provide a thorough explanation of the step-by-step
calculations involved in the procedure. The SAA is a method of filtering data, which is used to screen the
diffraction efficiency of each group calculated by RCWA to find the most uniform and efficient. The detailed
optimization algorithm process of SAA is mentioned in [45]. The cost function for a beam splitter with nine
ports can be expressed as follows:
(
4
=-
i
where the term Ii symbolizes the diffraction efficiency of the ith order, and Iav denotes the average efficiency for
the nine-port beam splitter, given by:
F =
å
av
)
I
I
I
,
4
i
i
-
( )
1
4
=-
4
i
å
2
I
av
4
1
⎛
å=
⎜
9
⎝
=-
4
i
I
i
.
⎞
⎟
⎠
3
( )
2
Phys. Scr. 98 (2023) 125518
G Liang et al
Figure 3. The relationship between the efficiency of each order for TM polarization and the thickness: (a) the thickness of h1, (b) the
thickness of h2, (c) the thickness of h3.
4
Phys. Scr. 98 (2023) 125518
G Liang et al
Figure 4. The relationship between the efficiency of each order for TE polarization and the thickness: (a) the thickness of h1, (b) the
thickness of h2, (c) the thickness of h3.
The calculation of Ii is performed using the RCWA. The optimization parameters for the grating structure
are acquired by achieving the minimum value of F. In addition, to obtain a nine-channel beam splitter, the
grating period d and working wavelength λ should meet the following criteria, which have been pointed out
5
Phys. Scr. 98 (2023) 125518
G Liang et al
Figure 5. Normalized field magnitude distribution of the nine-port beam splitter at normal incidence for (a) TE polarization and (b)
TM polarization.
in [46]:
Meanwhile, the uniformity of beam splitters is a crucial feature. The uniformity of the nine-channel beam
splitter can be defined by the following formula:
l
4
d
l
5 .
U
=
h
h
max
max
-
+
h
h
min
min
´
100%,
( )
3
( )
4
where hmax and hmin is the maximum and the minimum diffraction efficiency of each order for the beam splitter.
6
Phys. Scr. 98 (2023) 125518
G Liang et al
Figure 6. Efficiencies in orders for the grating versus the duty cycle of the first layer f1 and the duty cycle of the second layer f2 for TM
polarizations: (a) the 0th order for TM polarization, (b) the 1st order for TM polarization, (c) the 2nd order for TM polarization, (d)
the 3rd order for TM polarization, (e) the 4th order for TM polarization.
For normal incidence at the wavelength of 800 nm, the optimal structural parameters can be obtained by RCWA
and SAA, which can be seen clearly in table 1.
Before optimizing the beam splitter, the thickness of the Ag layer hm is set to 100 nm, which is enough for reflection
[47]. Based on the conditions of these grating structure parameters, a nine-channel polarization-dependent beam
7
Phys. Scr. 98 (2023) 125518
G Liang et al
Figure 6. (Continued.)
Table 2. Diffraction efficiency of nine-channel reflection beam splitter through RCWA and FEM.
0th
−1st/+1st
−2nd/+2nd
−3rd/+3rd
−4th/+4th
Total
Uniformity
TE(RCWA)
TE(FEM)
TM(RCWA)
TM(FEM)
10.79%
10.95%
10.66%
10.63%
10.86%
10.64%
10.69%
10.65%
10.88%
11.08%
10.69%
10.62%
10.84%
10.69%
10.65%
10.73%
10.86%
10.87%
10.67%
10.48%
97.67%
97.51%
96.06%
95.75%
0.42%
2.02%
0.19%
1.18%
splitter can be obtained, and the reflective efficiency of each order is shown in table 2. At the same time, the results of
RCWA and SAA are also verified by the finite element method (FEM), and the reflective efficiency is shown in table 2.
To verify the practical application prospects of polarization-dependent beam splitters, further data analysis
is mentioned. Due to the symmetry of the transmission efficiency at all levels of the grating, in the following
discussion, only one side of the transmission efficiency will be discussed, that is, only the transmission efficiency
at the order of 0th, 1st, 2nd, 3rd, and 4th will be discussed. As shown in figure 3, it can be observed that when h1
varies in the range of 1345–1365 nm, h2 varies in the range of 1205–1228 nm, and h3 varies in the range of
1608–1624 nm, each order of TM polarization exhibits an efficiency of over 9.5%. For TE polarization, the
relationship between reflection efficiency and thickness is shown in figure 4. When h1 is between 744 nm and
760 nm, h2 is between 1688 nm and 1700 nm, and h3 is between 1043 nm and 1055 nm, the reflection efficiency
of each order is greater than 9.5%. Finally, through the RCWA and the SAA, it is found that when h1, h2, and h3
are equal to the values in table 1, an efficient and uniformly output reflective nine-channel polarization-
dependent beam splitter is obtained.
8
Phys. Scr. 98 (2023) 125518
G Liang et al
Figure 7. Efficiencies in orders for the grating versus the duty cycle of the first layer f1 and the duty cycle of the second layer f2 for TE
polarizations: (a) the 0th order for TE polarization, (b) the 1st order for TE polarization, (c) the 2nd order for TE polarization, (d) the
3rd order for TE polarization, (e) the 4th order for TE polarization.
9
Phys. Scr. 98 (2023) 125518
G Liang et al
Figure 7. (Continued.)
Figure 8. Efficiency versus grating period under TM polarization with λ = 800 nm, f1 = 0.4, f2 = 0.6, f3 = 0.4, h1 = 1349 nm, h2 = 1213
nm and h3 = 1613 nm.
10
Phys. Scr. 98 (2023) 125518
G Liang et al
Figure 9. Efficiency versus grating period under TE polarization with λ = 800 nm, f1 = 0.4, f2 = 0.6, f3 = 0.4, h1 = 753 nm, h2 =
1694 nm and h3 = 1049 nm.
Figure 10. Efficiency versus operating band under TM polarization with d = 3344 nm, f1 = 0.4, f2 = 0.6, f3 = 0.4, h1 = 1349 nm,
h2 = 1213 nm and h3 = 1613 nm.
3. Analysis and discussions
To have a clearer understanding of the working state of the beam splitter at the wavelength of 800 nm, figure 5
shows the normalized electric field diagram at vertical incidence in this band. From the energy distribution
inside the grating, it can be seen that most of the energy under TM polarization is mainly distributed at the
centerline of the grating ridge. Moreover, the energy of the grating ridge is symmetrically distributed. For TE
polarization, the energy of the grating ridge is symmetrically distributed, and the energy of the grating ridge is
evenly distributed in each layer.
If the beam splitter is to be applied in practical industries, attention should be paid to its manufacturing
tolerances. When the duty cycle of the grating ridge changes, it will have a significant impact on the output
efficiency of each port. Because the grating ridge is cross-shaped and the duty cycle of the first and third layers is
the same, only the influence of duty cycles f1 and f2 is considered in the following tolerance analysis. As shown in
figure 6, the relationship between the duty cycle of the grating ridge and the reflection efficiency of each order is
11
Phys. Scr. 98 (2023) 125518
G Liang et al
Figure 11. Efficiency versus operating band under TE polarization with d = 3743 nm, f1 = 0.4, f2 = 0.6, f3 = 0.4, h1 = 753 nm,
h2 = 1694 nm and h3 = 1049 nm.
determined when all other structural parameters are optimal. Combining simulation data and figures 6(a)–(e),
the following results can be obtained. Due to the symmetrical output efficiency of the grating, the following
discussion will only focus on the positive order diffraction order. Under the vertical incidence of 800nm
wavelength, the 0th order, 1st order, 2nd order, 3rd order, and 4th order reflection efficiency under the TM
polarization is greater than 9.0%, when the duty cycle is 0.385 < f1 < 0.403, 0.595 < f2 < 0.610. In summary,
when the reflection efficiency of each port remains the highest and uniform, f1 = f3 = 0.4, f2 = 0.6. For TE
polarization, the impact of the change in the duty cycle is shown in figures 7(a)–(e). When f1 is in the range of
0.397–0.406 and f2 is in the range of 0.596–0.609, the reflection efficiency of each order is greater than 9%.
In addition, the diffraction efficiency at all levels of the beam splitter is not only related to the width and
thickness of the grating ridge but also to the grating period. Therefore, it is necessary to analyze the
manufacturing tolerance of the grating period. As shown in figure 8, for TM polarization, when the grating
period d changes in the range of 3325–3354 nm, the reflection efficiency of each order is above 9.0%. Meanwhile,
for TE polarization, the reflection efficiencies of the 0th, 1st, 2nd, 3rd, and 4th orders are above 9.0% when the
grating period d varies between 3732–3754 nm.
Moreover, the working wavelength of the polarization-dependent beam splitter is 800 nm. However, in
practical applications, the working wavelength may change. So, the paper analyzed the tolerance of working
wavelength. Combining figure 10 with the optimized data, when the working wavelength is between 796–804
nm, the reflection efficiency of each level for TM polarization is above 9.0%. From figure 11, it can be observed
that when the working wavelength λ is within the range of 798 to 801 nm, the reflection efficiency of each level is
greater than 9%.
4. Conclusions
A polarization-dependent reflection beam splitter of addition-shaped for equal nine-channel generated is
proposed in this paper. The optimization parameters of the grating are obtained through RCWA and SAA.
Under the optimization parameters in the second section, a nine-channel output for TM polarization with
uniformity of 0.19% and a total diffraction efficiency of over 96% can be obtained. For TE polarization, the
uniformity of the nine-channel beam splitter is less than 0.5%, and the total diffraction efficiency reaches over
97%. At the same time, the maximum difference between the diffraction efficiency of each order calculated by
the finite element method and the results calculated by RCWA is less than 0.3%, which enhances the credibility
of the article’s data. The analysis of the manufacturing tolerance and normalized energy distribution of the beam
splitter in the y = 0 plane in the third section can guide the future manufacturing of nine-channel gratings with
similar structures. It is believed that the proposed polarization-dependent reflection beam splitter has potential
application value in many fields of optical application.
12
Phys. Scr. 98 (2023) 125518
Acknowledgments
G Liang et al
This work is supported by the Science and Technology Program of Guangzhou (202002030284).
Data availability statement
The data cannot be made publicly available upon publication because they are not available in a format that is
sufficiently accessible or reusable by other researchers. The data that support the findings of this study are
available upon reasonable request from the authors.
ORCID iDs
Guoyu Liang
Bo Wang
Yuqing Xu
https://orcid.org/0009-0001-5868-210X
https://orcid.org/0000-0002-0927-699X
https://orcid.org/0009-0005-8784-8315
References
[1] Torcal-Milla F J and Sanchez-Brea L M 2022 Optik 271 170119
[2] Ko M C, Kim N C, Choe H, Ri S R, Ryom J S and Kim S G 2021 Plasmonics 16 1991–8
[3] Radhakrishnan S, Raja G T and Kumar D S 2021 Plasmonics 16 493–500
[4] Chen P, Chen C, Xi J, Du X, Liang L, Mi J and Shi J 2021 Plasmonics 17 43–9
[5] Gao P, Liu Y, Zheng X and Wang Z 2023 Opt. Commun. 526 128942
[6] Wu J, Yang D, Huang X, Li Y and Xia Y 2021 Phys. Lett. A 389 127080
[7] Bera J, Halder B, Ghosh S, Lee R K and Roy U 2022 Phys. Lett. A 453 128484
[8] Olivares S 2021 Phys. Lett. A 418 127720
[9] Sengupta C and Bhattacharya K 2023 Phys. Scr. 98 045015
[10] Chen D, Wang Z, Zeng Y, Zhang X and Sun X 2022 Phys. Lett. A 432 128020
[11] Xu Y, Yuan J, Qu Y, Qiu S, Zhou X, Yan B, Wang K, Sang X and Yu C 2022 Opt. Eng. 61 057104
[12] Huang J, Xu X, Mu S, Zhang H, Liu Y and Zhai N 2022 Opt. Eng. 61 027103
[13] Hong P, Xu L, Ying C and Rahmani M 2022 Opt. Lett. 47 2326–9
[14] Yuan M, Han X, Xiao H, Nguyen T G, Boes A, Ren G, Hao Q, Xue J, Mitchell A and Tian Y 2023 Opt. Lett. 48 171–4
[15] Li X, Zhao Z, Tan J, Chen R, Wang J, Yu F, Chen J, Li G, Li Z and Chen X 2023 Plasmonics 18 485–92
[16] Dizaj L S, Abbasian K and Nurmohammadi T 2020 Plasmonics 15 2213–21
[17] Yu Z, Liu D, Cheng L, Meng Z, Zhao Z, Yuan X and Xu K 2022 Opt. Express 30 46822–37
[18] Shan M, Jin Q, Zhong Z and Lin L 2023 Phys. Scr. 98 045102
[19] Mai V and Kim H 2023 Opt. Commun. 527 128963
[20] Zhang H, Yang J and Zhang H 2020 Plasmonics 15 957–66
[21] Shen C, Huang Z, Chen X, Chen H, Wang Z, Li Y, Liu J and Zhou J 2022 J. Lightwave Technol. 40 6296–302
[22] Wang Y, Liu Y, Wu T, Li J, Sun Y and Ye H 2021 Opt. Eng. 60 115108
[23] Gao C and Wang B 2020 Phys. Scr. 95 085501
[24] Zhou Y, Li X, Wang B and Li L 2022 Optik 259 169014
[25] Xiong Z and Wang B 2023 Opt. Laser Technol. 168 109959
[26] Li J, Sun Y, Fan H, Wang X, Ye H and Liu Y 2023 Results Phys. 44 106181
[27] Huang Y and Wang B 2022 Opt. Eng. 61 035102
[28] Li J 2021 Laser Phys. 31 026203
[29] Lin Z, Wang B, Xing X, Zhang F, Xue J and Zhou J 2021 Results Phys. 28 104702
[30] Zhou B, Jia W, Xiang C, Xie Y, Zhang S, Wang J and Zhou C 2023 Opt. Laser Technol. 163 109332
[31] Jin G, Zhou C, Jia W, Xie Y, Zhou B and Wang J 2023 Optik 280 170789
[32] Huang Z and Wang B 2022 Opt. Laser Technol. 152 108102
[33] Shen C, Zhong C, You Y, Chu J, Zou X, Dong X, Jin Y, Wang J and Gong H 2012 Opt. Express 20 15406–17
[34] Tugolukov M, Levin Y and Vyatchanin S 2018 Phys. Lett. A 382 2181–5
[35] Wang M, Zhang N, Huang X, Yin B, Mu H, Han M and Chen D 2020 Opt. Lett. 45 4519–22
[36] Liu H, Zhu C, Wang Y, Tan C, Li H and Cheng D 2017 Opt. Eng. 56 057112
[37] Wang B, Zhou C, Feng J, Ru H and Zheng J 2008 Appl. Opt. 47 4004–8
[38] Wang S, Zhou C, Zhang Y and Ru H 2006 Appl. Opt. 45 2567–71
[39] Wilkinson C D W and Rahman M 2004 Phys. Eng. Sci. 362 125–38
[40] Morikawa K, Chen P, Tran H, Kazoe Y, Chen C and Kitamori T 2023 J. Micromech. Microeng. 33 047001
[41] Tamayo A, Rubio J, Rubio F and Rodriguez M A 2021 Materials 14 3276
[42] Zhao S and Liu H 2015 Nanotechnology 26 015301
[43] Moharam M G and Gaylord T K 1981 Appl. Opt. 20 240–4
[44] Moharam M G and Gaylord T K 1981 J. Opt. Soc. Am. 71 811–8
[45] Wu J, Zhou C, Cao H, Hu A, Yu J, Sun W and Jia W 2011 J. Opt. 13 115703
[46] Zheng J, Zhou C, Wang B and Feng J 2008 J. Opt. Soc. Am. A 25 1075–83
[47] Gao C, Wang B, Wen K, Meng Z, Nie Z, Xing X, Chen L, Lei L and Zhou J 2019 Opt. Commun. 452 395–9
13
| null |
10.1103_physrevd.107.035007.pdf
| null | null |
PHYSICAL REVIEW D 107, 035007 (2023)
Neutrino nonstandard interactions with arbitrary couplings
to u and d quarks
New York University Abu Dhabi, P.O. Box 129188, Saadiyat Island, Abu Dhabi, United Arab Emirates
Nicolás Bernal
*
Yasaman Farzan
†
School of Physics, Institute for Research in Fundamental Sciences (IPM),
P.O. Box 19395-5531, Tehran, Iran
(Received 5 December 2022; accepted 19 January 2023; published 7 February 2023)
We introduce a model for nonstandard neutral current interaction (NSI) between neutrinos and the matter
fields, with an arbitrary coupling to the up and down quarks. The model is based on a new Uð1Þ gauge
symmetry with a light gauge boson that mixes with the photon. We show that the couplings to the u and d
quarks can have a ratio such that the contribution from NSI to the coherent elastic neutrino-nucleus
scattering (CEνNS) amplitude vanishes, relaxing the bound on the NSI from the CEνNS experiments.
Additionally, the deviation of the measured value of the anomalous magnetic dipole moment of the muon
from the standard-model prediction can be fitted. The most limiting constraints on our model come from
the search for the decay of the new gauge boson to e−eþ and invisible particles, carried out by NA48=2 and
NA64, respectively. We show that these bounds can be relaxed by opening up the decay of the new gauge
boson to new light scalars that eventually decay into the e−eþ pairs. We show that there are ranges that can
lead to both a solution to the ðg − 2Þμ anomaly and values of ϵμμ ¼ ϵττ large enough to be probed by future
solar neutrino experiments.
DOI: 10.1103/PhysRevD.107.035007
I. INTRODUCTION
Within the Standard Model (SM) of the elementary
particles, apart from gravity,
the only interaction that
neutrinos have is through the weak coupling. With the
ever-increasing sensitivity of neutrino experiments, it is
timely to ask whether there are any new subdominant
interactions between neutrinos and matter fields. In recent
years, a remarkable number of studies have been carried out
on the impact of neutral current nonstandard interaction
(NSI) on neutrino propagation in matter. The neutral
current NSI can be parametrized as a four-fermion inter-
action
ffiffiffi
p
2
2
GFεf
αβ
(cid:3)
¯ναγμ 1 − γ5
2
(cid:4)
ð ¯fγμð1 þ κγ5ÞfÞ;
νβ
ð1Þ
where f ∈ fu; d; eg. εf
quantify the strength of the NSI, and the limit εf
αβ are dimensionless parameters that
αβ ¼ 0
*nicolas.bernal@nyu.edu
†
yasaman@theory.ipm.ac.ir
Published by the American Physical Society under the terms of
license.
the Creative Commons Attribution 4.0 International
Further distribution of this work must maintain attribution to
the author(s) and the published article’s title, journal citation,
and DOI. Funded by SCOAP3.
corresponds to the standard coupling. In the case where
jεf
αβj ∼ 1, NSI becomes as strong as the weak interaction. It
is straightforward to show that the axial part of NSI (i.e., the
one proportional to κ) cannot induce matter effects for the
propagation of neutrinos in an unpolarized medium such as
Earth or the Sun. Moreover, the coherent elastic neutrino-
scattering (CEνNS) experiments are mainly
nucleus
sensitive to the vector part of the NSI. However,
the
measurement of total solar neutrino flux by the Sudbury
Neutrino Observatory (SNO) was sensitive only to the axial
NSI with the quarks. That is, the SNO measurement of the
Gamow-Teller process ν þ D → ν þ n þ p can constrain
the products κ × εu
αβ.
Measurements of solar neutrino scattering off electrons can
constrain both εe
αβ by studying the dependence of
the scattering cross section of the electron recoil energy. In
this paper, we focus on model building for vectorlike NSI,
so we fix κ ¼ 0.
αβ rather than εu
αβ and κ × εd
αβ and κεe
αβ and εd
The effective Lagrangian shown in Eq. (1) can be
obtained by integrating out a heavy UNEWð1Þ gauge boson
that couples both to neutrinos and to matter fields. This idea
has been pursued in several studies; see, e.g., Ref. [1].
Concerning the propagation of neutrinos in matter, only
forward scattering with vanishing energy-momentum trans-
fer (q2 → 0) is relevant, so that here, again, one can
integrate out the mediator and use the effective action in
2470-0010=2023=107(3)=035007(10)
035007-1
Published by the American Physical Society
NICOLÁS BERNAL and YASAMAN FARZAN
PHYS. REV. D 107, 035007 (2023)
Eq. (1), even if the energy of the neutrino beam in the rest
frame of the medium is much larger than the media-
tor mass.1
p
ττ − εf
μμ − εf
ee ≃ εf
In the presence of NSI, new degeneracies appear in the
neutrino oscillation parameters. For example, the so-called
generalized mass ordering degeneracy appears [3–7],
which leads to an alternative solution to the solar neutrino
anomaly known as the large mixing angle (LMA)-dark
solution with θ12 > 45° and εf
ee ∼ 1. As
pointed out in Ref. [8], if we want to test the LMA-dark
solution via only oscillation experiments, different media
with different proton-to-neutron compositions are required.
Furthermore, NSI with jεfj ≳ 0.1 can be tested, in princi-
ple, in scattering experiments. There are, however, a few
exceptions: (i) In scattering experiments, if the mediator
mass mZ0
is smaller than the typical energy-momentum
ffiffiffiffiffiffiffiffi
jq2j
transfer (
), we cannot use the four-Fermi analysis and
we should employ the whole propagator of the mediator
Z0 − q2Þ
that gives an amplitude proportional
than to g2
Z0=m2
rather
Z0, and hence a suppression of
m2
Z0 − q2Þ. (ii) With a given target at CEνNS experi-
ments, the contributions of NSI to the amplitudes of the
scattering off the neutrons and protons of the target cancel
out each other
[9,10].
Motivated by this phenomenological consideration, we
build a model for NSI with an arbitrary ratio of NSI
couplings to the u and d quarks. The scenario is based on a
flavor gauge model with a light gauge boson Z0, which
mixes with the photon. We enumerate the relevant bounds
on the parameters of the model.
for certain ratios of εu
Z0=ðm2
Z0=ðm2
αβ=εd
αβ
to g2
We focus on the allowed range of the parameter space
that can (i) explain the ðg − 2Þμ anomaly [11,12], (ii) lead to
large NSI, and (iii) yield ratios of εu=εd for which CEνNS
bounds can be relaxed [9]. In our model, as in the case of
B − L, the new gauge boson couples to electrons and
neutrinos, so it can appear in the NA64 experiment as a
missing energy on which there are strong bounds [13,14].
We discuss how the model can be augmented to suppress
the invisible decay modes of Z0 and, therefore, open the
parameter space to accommodate the solution to ðg − 2Þμ
and a large NSI.
The paper is organized as follows. In Sec. II, the model is
presented. It is also shown how to augment the model
to suppress the branching ratios of Z0 → e−eþ and
Z0 → invisible in order to avoid the bounds from searches
for these decay modes. In Sec. III, various observables that
can test the model are discussed, and the relevant bounds
are reviewed. Figures displaying the bounds on the param-
eter space of our model are presented. The results are
summarized in Sec. IV.
II. THE MODEL
We will augment the SM gauge group with a new local
UNEWð1Þ to obtain NSI. We show the lepton and baryon
numbers of the three generations with Lα and Bi, respec-
tively. For any arbitrary real value of c, the combination of
lepton and baryon numbers
Lμ þ Lτ − cðB1 þ B2Þ − 2B3ð1 − cÞ
ð2Þ
is anomaly-free. The gauge boson of the UNEWð1Þ sym-
metry is denoted by Z0, with a gauge coupling gZ0. Unless
c ¼ 2=3, the UNEWð1Þ charges of the third generation of
quarks are different from those of the first and second
generations. As a result, on the quark-mass basis, left-
handed down quarks can obtain a flavor-violating coupling
to Z0. This feature has been invoked in Ref. [15] to address
the so-called b anomalies observed at the LHCb.2 We shall
comment on whether, in the range of parameters of our
interest, the deviation of b → sμþμ− from the SM pre-
diction is within the observed range or not. We have taken
equal charges for the first and second generations of the
quarks to respect the bounds from the neutral-kaon mixing.
In the lepton sector, the charged lepton mass basis and the
electroweak basis coincide, so we shall not have lepton
flavor-violating coupling for the charged leptons, but we
can have off-diagonal couplings in the neutrino mass basis
μ ¯νiγμνj, where U is the Pontecorvo–
like gZ0ðδij − UeiU(cid:2)
Maki–Nakagawa–Sakata mixing matrix. This can lead to
three-body decay of the heavy neutrinos to lighter ones, but
with lifetimes much larger than the age of the Universe, an
effect irrelevant for phenomenological purposes. Notice that
we have set the new UNEWð1Þ charge of the first generation
of leptons equal to zero. As a result, the strong limits of
GEMMA on ¯νe þ e scattering can be relaxed [18,19]. The
gauge symmetry in Eq. (2) induces equal couplings to the u
and d quarks. We break this universality by introducing a
kinetic mixing between Z0 and the photon parametrized by ϵ.
The couplings of quarks to Z0 can then be written as
ejÞZ0
(cid:5)(cid:3)
− c
2
3 eϵ
3 gZ0 þ
(cid:3)
− c
3 gZ0 −
þ
(cid:4) X
¯uiγμui
ui∈fu;cg
(cid:4) X
1
3 eϵ
di∈fd;sg
(cid:6)
¯diγμdi
Z0
μ
and the couplings of leptons as
½ðgZ0 − eϵÞ¯μγμμ þ gZ0 ¯νμγμνμ þ ðgZ0 − eϵÞ¯τγμτ
þ gZ0 ¯ντγμντ − eϵ¯eγμe(cid:3)Z0
μ;
ð3Þ
ð4Þ
1Indeed, as long as the mass of the mediator is larger than the
inverse of
the medium, we can integrate out
the mediator and rely on the four-Fermi effective potential
formalism [2].
the size of
2Very recently, the LHCb Collaboration reported measure-
ments of the lepton flavor universality in b → slþl−, which for
many years dominated the B-physics anomalies, compatible with
the SM prediction [16,17].
035007-2
NEUTRINO NONSTANDARD INTERACTIONS WITH ARBITRARY …
PHYS. REV. D 107, 035007 (2023)
where e and e, respectively, denote the electric charge and
the electron field. As shown in the appendixes of Ref. [20],
as long as there is no mass mixing between Z0 and the
hypercharge boson, the kinetic mixing cannot induce an
electric charge for neutrinos, on which there are extremely
strong bounds [21]. Furthermore, in the absence of mass
mixing in the Stückelberg mass term for the new gauge
boson, the bounds from violation of atomic parity do not
constrain ϵ [22]. Reference [23] has also invoked a Lμ − Lτ
model with a gauge boson kinetically mixed with the photon
that can explain the ðg − 2Þμ anomaly.
Integrating out the Z0 boson, we can write the following
effective couplings to quarks:
μμ ¼ εu
εu
ττ ¼
ð2eϵ − cgZ0ÞgZ0
ffiffiffi
GFm2
2
Z0
p
6
;
μμ ¼ εd
εd
ττ ¼ − ðeϵ þ cgZ0ÞgZ0
ffiffiffi
p
GFm2
2
6
Z0
;
ee ¼ εd
εu
ee ¼ 0;
and to electrons
ee ¼ 0;
εe
μμ ¼ εe
εe
ττ ¼ −
gZ0eϵ
ffiffiffi
GFm2
2
Z0
p
2
:
ð5Þ
ð6Þ
ð7Þ
ð8Þ
ð9Þ
From Eqs. (5) and (6), one can obtain the effective
couplings to neutrons and protons,
εn
μμ ¼
−cg2
ffiffiffi
Z0
p
GFm2
2
Z0
2
and εp
μμ ¼
ðeϵ − cgZ0ÞgZ0
ffiffiffi
p
2
2
GFm2
Z0
;
ð10Þ
2
3 Nu −
1
3 Nd − Ne ¼ 0:
ð14Þ
Taking Nn=Np ≃ 0.54 at the center of the Sun [24], we can
translate the LMA-dark 2σ band found in Refs. [3,10] into
2 ≲ εmedium
μμ
¼ εmedium
ττ
≲ 3;
ð15Þ
which translates into
gZ0 ¼ ð6.5 − 8.0Þ × 10−5 mZ0
10 MeV
(cid:3)
−
(cid:4)
1
1=2
c
:
ð16Þ
Of course, there is also the standard LMA solution with
θ12 < π=4 that requires [3,10]
−0.081 < εmedium
μμ
¼ εmedium
ττ
< 1.422;
ð17Þ
which, for Nn=Np ≃ 0.54, corresponds to
(cid:4)
2
(cid:3)
−3 × 10−9
mZ0
10 MeV
< cg2
Z0 < 1.7 × 10−10
(cid:3)
mZ0
10 MeV
(cid:4)
2
:
ð18Þ
In our model, the coupling to the muon is given by
gμ ≡ gZ0 − eϵ, which can be rewritten as
(cid:3)
(cid:5)
1 − c
ffiffiffi
p
GFm2
2
2
Z0
−c
gμ ¼ gZ0
(cid:5)
¼
1 −
(cid:4)(cid:6)
1
tan η
Ne
Nn þ Np
(cid:6)1=2(cid:5)
(cid:3)
εmedium
μμ
1 − c
1 −
(cid:4)(cid:6)
:
1
tan η
ð19Þ
and their ratio tan η [9],
tan η ¼
εn
μμ
εp
μμ
¼
−cgZ0
eϵ − cgZ0
:
In the limit jcj ≪ 1, gμ ≃ gZ0 as expected. To explain the
ðg − 2Þμ anomaly, gμ should be in the range found in
Ref. [25]. For example, if mZ0 ∼ 10 MeV, the 2σ band
compatible with ðg − 2Þμ is
ð11Þ
In this model, the contribution from NSI to the effective
form
in matter
takes
the
potential of neutrinos
VNSI ¼ Diagð0; Vμ; VτÞ, with
Vμ ¼ Vτ ¼ 2
¼ 2
ffiffiffi
p
GFðNeεe
2
;
ffiffiffi
p
GFNeεmedium
2
μμ
μμ þ Nuεu
μμ þ Ndεd
μμÞ
in which
εmedium
μμ
¼
−cg2
ffiffiffi
Z0
p
GFm2
2
2
Z0
Nn þ Np
Ne
:
ð12Þ
ð13Þ
Notice that we have used the fact that the medium is
electrically neutral, so that
gμ ¼ ð3.5–7Þ × 10−4:
ð20Þ
In the next section, we discuss the various bounds on the
model and find the parameter range that can lead to
interesting phenomenology.
If ϵ does not vanish, Z0 can be produced by its coupling
to electrons. Furthermore, if Z0 is lighter than 2mμ, the main
Z0 decay modes are into νμ ¯νμ, ντ ¯ντ, and e−eþ. Up to
corrections of order of ðme=mZ0Þ2,
BrðZ0 → e−eþÞ ¼
BrðZ0 → invisibleÞ ¼
and
ðeϵÞ2
ðeϵÞ2 þ g2
Z0
g2
Z0
ðeϵÞ2 þ g2
Z0
:
ð21Þ
035007-3
NICOLÁS BERNAL and YASAMAN FARZAN
PHYS. REV. D 107, 035007 (2023)
As discussed in the next section, the NA48=4 experiment
strongly constrains the scenario in which Z0 can be
produced by the π0 decay with subsequent decay into a
pair e−eþ. On the other hand,
the NA64 experiment
constrains Z0
that can be produced by its coupling to
electrons and then decay invisibly. Motivated by saving the
dark-photon solution to the ðg − 2Þμ anomaly, Ref. [26]
suggests opening up a semivisible decay mode for Z0 to
avoid these bounds.
In the following, we suggest an alternative detour to
these bounds by augmenting the model such that Z0
predominantly decays into a pair of intermediate scalars
φ ¯φ that, in turn, decay to pairs e−eþ. We will see that this
mechanism also gives mass to the Z0 boson. For φ lighter
than 10 MeV decaying to a pair e−eþ, there are strong
bounds from E774 and E141 [27], so we take φ to be
heavier than 10 MeV. As a result, the mass of Z0 should be
larger than 20 MeV. We assign a UNEWð1Þ charge cφ ≫ 1
to the φ scalars, obtaining the coupling
For φ to decay into e−eþ, it should be coupled to electrons.
A direct coupling would break both the UNEWð1Þ gauge
symmetry and the electroweak symmetry. Therefore, we
introduce a second φ0 with the same charge as φ and
heavier than Z0. Furthermore, we add a new inert Higgs
doublet Φ with a large coupling to e−eþ via the terms
λφ†φ0H · Φ þ λe
¯eRΦ†Le;
ð27Þ
in which Le ¼ ðνeeLÞ. Since the SM Higgs coupling to
electrons is very suppressed, we need this new Φ with a
relatively large Yukawa coupling λe to ensure a fast decay
of φ → e−eþ with τφ ∼ 10−14 sec. With such a short
lifetime, the bounds from E177 can also be relaxed [28]
because decays occur before φ or Z0 reach the detector. The
vacuum expectation value of φ0 breaks the UNEWð1Þ
symmetry and gives mass to the Z0 boson,
mZ0 ¼ cφgZ0hφ0i:
ð28Þ
cφgZ0Z0
μ½iðφ(cid:2)∂μφÞ þ H:c:(cid:3);
ð22Þ
Furthermore, along with hHi, it leads to the mixing of φ
with the neutral component of Φ given by
which leads to a partial decay width
ΓðZ0 → φ ¯φÞ ¼
φg2
c2
Z0mZ0
48π
(cid:4)
3=2
(cid:3)
1 − 4
m2
φ
m2
Z0
:
ð23Þ
It is important to note that, despite cφ being large, we are
interested in a range of parameters where the coupling of φ
to Z0, cφgZ0, is very small and well within the perturbative
range. In the limit c2
Z0 ≫ e2ϵ2, the branching ratios can be
rewritten as
φg2
BrðZ0 → e−eþÞ ¼
BrðZ0 → invisibleÞ ¼
φg2
c2
8ðeϵÞ2
Z0ð1 − 4m2
8
φ=m2
φð1 − 4m2
c2
φ=m2
Z0Þ3=2
Z0Þ3=2 :
and
ð24Þ
As we shall see in the next section, to avoid the NA64
bounds, a Z0 with the energy of ∼30 GeV should be able to
decay to φ ¯φ before traveling a distance of ∼1 cm.
Similarly, the φ produced should decay before traveling
more than ∼1 cm. That is,
τZ0 < 3 × 10−14 mZ0
τφ < 3 × 10−14 mφ
30 MeV
30 MeV
30 GeV
EZ0
30 GeV
Eφ
sec
and
sec;
ð25Þ
and hence,
cφgZ0 > 3.3 × 10−4 30 MeV
mZ0
(cid:4)
−3=4
(cid:3)
1 − 4
m2
φ
m2
Z0
:
ð26Þ
sin β ¼
λhHihφ0i
Φ0 − m2
m2
φ
ð29Þ
and, therefore, to an effective coupling of the form
λφeφ† ¯ee with
λφe ≡ λe sin β:
ð30Þ
should be of
For τφ ∼ 10−14 sec, λφe
the order of
4 × 10−4ð10 MeV=mφÞ1=2. Furthermore, Φ0 should be
heavier than ∼400 GeV to avoid present bounds from
direct searches at colliders. Taking λe ∼ 0.1, sin β should be
of the order of 10−3. Note that such mixing is small enough
not to cause an unnaturally large contribution to the φ mass:
mφ ≫ mΦ sin2 β. We can then write
λ ¼ 0.026 sin β
10−3
30 MeV
mZ0
cφgZ0
8.5 × 10−4
m2
Φ0
ð400 GeVÞ2 :
ð31Þ
Finally, to allow λ to remain in the perturbative range, it is
necessary that cφgZ0 < few × 10−2.
III. THE BOUNDS
For the values of the gZ0 coupling of interest for NSI or
for ðg − 2Þμ, Z0 reaches thermal equilibrium in the early
Universe with the plasma. If Z0 is lighter than ∼5 MeV, Z0
and/or its decay products can contribute significantly to the
extra relativistic degrees of freedom in which there are
strong bounds from Cosmic microwave background and
big bang nucleosynthesis [29]. Therefore, we focus on the
case where mZ0 > 5 MeV. Now, we present a compilation
of the most stringent bounds relevant
to the present
scenario.
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PHYS. REV. D 107, 035007 (2023)
A. Bounds from beam dump experiments, meson
decays, and scattering experiments
In the absence of φ, two regimes can be distinguished
for mZ0 ∼ 10 MeV.
(1) g2
Z0 ≫ e2ϵ2: In this case, Z0 decays mainly into νμ ¯νμ
and ντ ¯ντ. Thus, Z0 would appear as missing energy
in experiments such as BABAR [30] and NA64
[13,14], where Z0 can be produced by its coupling
to electrons (for example, by e−eþ → γZ0 or electron
bremsstrahlung). These experiments established an
upper bound ϵ ≲ Oð10−5Þ for mZ0 ∼ 10 MeV. As
invisible decay modes dominate over visible decay
modes, the bounds of beam dump experiments on
gZ0 and/or on ϵ are relaxed. The Z0 coupling to
neutrinos can appear in meson decays such as
Kþ → μþνZ0. Using the constraint of E949 on
Kþ → μþ þ missing energy [31], an upper bound
on the coupling of Z0 to νμ can be extracted [32].
With an improved constraint from NA62 on such
decay modes [33], the bound for the mass range
m2
Z0=m2
K can be rewritten as
(cid:3)
gZ0 < 0.003
mZ0
5 MeV
(cid:4)
:
ð32Þ
Moreover, from the bound on π0 → Z0γ, an upper
bound of Oð10−3Þ on the coupling of Z0 to quarks is
obtained [34,35].
Z0 ≪ e2ϵ2: In this case, a Z0 with mass mZ0 ∼
Oð10Þ MeV decays mainly into pairs e−eþ, relaxing
the bound from NA64. Instead, the bounds from
beam dump experiments apply. For mZ0 ∼ 10 MeV,
the strongest upper bound on ϵ comes from the
NA48=2 experiment [36]. The bound on ϵ versus
mZ0 fluctuates violently between 5 × 10−4 and 10−3.
the parameter space where
For the time being,
the ðg − 2Þμ anomaly can be fitted (that
is,
gZ0 ∼ 7 × 10−4) is experimentally allowed. Interest-
ingly, such parameter space will be probed by future
experiments such as MESA [37], VEPP-3 [38,39],
and DARKLIGHT [40].
(2) g2
target.
(ECAL)
Opening the decay mode Z0 → φ ¯φ described at
the
end of the previous section,
the bounds from NA64
and NA48=2 can be relaxed. In NA64, an electron beam
of 100 (cid:4) 3 GeV [13]
to an electromagnetic
is sent
calorimeter
the energy deposited
If
within a few radiation lengths is less than 50 GeV, the
signal is interpreted as e− þ nucleus → e−Z0X, with Z0 →
missing energy. In our model, Z0 → φ ¯φ and φ → e−eþ
within a few centimeters, so the entire energy of the initial
e− entering the target at NA64 will be deposited at the
ECAL within a few radiation lengths, so the NA64 bound
will be relaxed. In NA48=2, the signal is e−eþγ from π0
decays, and events in which the invariant mass of the three
final tracks significantly deviates from mπ0 are vetoed.
is, when gZ0 ¼ 0),
u þ q2
dÞ2 ¼ ð5=9Þ2e2ϵ2.
and ϵ are nonzero,
Thus, e−eþ from the φ decay will be vetoed. To recast the
bound from BABAR [30] and NA64 [14] on the coupling of
Z0
the
to the electron, we should take into account
expression of BrðZ0 → invisibleÞ in the present model.
Similarly, the bound from NA48=2 [36] should be recasted
by considering BrðZ0 → e−eþÞ in this model. In the simple
the π0
kinetic mixing model (that
decay rate to a photon and a dark photon is proportional
to e2ϵ2ðq2
In our model, where
both gZ0
it will be given by
½equðeϵqu þ cgZ0=3Þ þ eqdðeϵqd þ cgZ0=3Þ(cid:3)2. Thus,
the
branching ratio of a π0 decaying to a photon and a Z0
will be given by the same formula for pure kinetic
mixing, replacing ϵ2 with ðϵ − cgZ0=ð5eÞÞ2. Furthermore,
in our model, BrðZ0 → e−eþÞ is not one, so the bound on
the square of mixing found by NA48=2 should be inter-
preted as a limit on ½ϵ − cgZ0=ð5eÞ(cid:3)2 × BrðZ0 → e−eþÞ.
In
[14],
BrðZ0 → invisibleÞjB−L ¼ BrðZ0 → ν¯νÞ=½BrðZ0 → e−eþÞ
þBrðZ0 → ν¯νÞ(cid:3) ¼ 3=5. In NA64, Z0 is produced by its
coupling to electrons, which for us is eϵ. As a result, the
upper bound on the square of the B − L coupling found in
Ref. [14] should be interpreted as an upper bound on
ðeϵÞ2 × BrðZ0 → invisibleÞjours=BrðZ0 → invisibleÞjB−L.
the B − L model
A dedicated search using experiments such as BABAR,
NA64, or NA48=2 may be able to test our model where Z0
production leads to the emission of two pairs (rather than
one pair) of e−eþ. As mentioned above, the bounds from
the E177, E774, and E141 beam dump experiments can be
avoided in our model. Finally, we note that Z0 bosons can
also be probed at the intensity and lifetime frontier experi-
ments such as FASER, FASER2, DUNE, and the ILC [41].
considered
in Ref.
B. CEνNS experiments
In our model, since the coupling of νe to Z0 is zero (i.e.,
εee ¼ 0), the reactor CEνNS experiments such as Dresden
II [42] or CONUS do not constrain the model. However, we
expect bounds from CEνNS experiments with a muon
decay source such as COHERENT, as well as from direct
dark matter search experiments sensitive to solar neutrinos.
The cross section of the CEνNS process νμ þ nucleus →
νμ þ nucleus is proportional to
(cid:4)
(cid:3)
(cid:4)
(cid:3)
;
Q2
m2
m2
þ N
ð33Þ
μ ¼ Z
n þ εn
gV
μμ
p þ εp
gV
μμ
m2
Z0
Z0 − t
m2
Z0
Z0 − t
p ¼ 1=2 − 2 sin2 θW
with t being a Mandelstam variable. gV
n ¼ −1=2 are the vector couplings of the standard Z
and gV
gauge boson to protons and neutrons,
respectively.
Furthermore, Z and N are the numbers of protons and
neutrons in the target nucleus. With εn
μμ (that
is, tan η ¼ −Z=N), the NSI effect completely cancels out.
these ratios are tan η ¼ −0.7 and
For CsI and argon,
tan η ¼ −0.8, respectively. The results of Ref. [9] confirm
this argument. For our model, the allowed range of NSI can
μμ ¼ −ðZ=NÞεp
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PHYS. REV. D 107, 035007 (2023)
Z0=ðm2
be even larger due to the suppression jm2
Z0 − tÞj < 1.
In our figures, we take the average for argon and CsI:
tan η ¼ −0.75. For other target materials, this cancellation
occurs at different values of tan η. For example, for silicon,
tan η ¼ −Z=N ¼ −1. As a result, the change of the target
material to silicon has the potential to test this degen-
eracy [43].
the latter
μμ ¼ −2ðZgV
Note that there is also degeneracy under Qμ → −Qμ. For
m2
Z0 ≫ t,
transformation can take place for
Zεp
μμ þ Nεn
p þ NgV
[9]
finds a fourfold degeneracy. However, for m2
Z0 ∼ jtj, the
Qμ → −Qμ degeneracy (but not the εn=εp ¼ −Z=N degen-
eracy) can be solved, in principle, by studying the depend-
ence of the recoil energy.
n Þ. As a result, Ref.
C. Borexino results for the scattering
of neutrinos off electrons
μμ ¼ εe
In our model, εe
ττ ≠ 0, so the bounds from the
Borexino experiment in Ref. [44] have to be taken into
account. Rewriting Eq. (9) as
(cid:3)
(cid:4)
εe
μμ ¼ εe
ττ ¼ εmedium
μμ
1 −
1
tan η
Ne
Nn þ Np
;
ð34Þ
μμ ¼ εe
it can be realized that the Borexino bound on jεe
ττj <
2 [44] implies that the LMA-dark solution from tan η ¼
−0.8 to −0.7 is excluded regardless of the values of mZ0, c,
and other parameters. Within our model, LMA-dark can be
compatible with the Borexino bound only for tan η > 0.5 or
for tan η < −37. However, a large NSI with εe
ττ ∼ 1
still escapes the Borexino bound even at tan η ∼ −0.75.
Such a large NSI will induce a significant deviation from
the standard Mikheyev-Smirnov-Wolfenstein prediction for
the low-energy part of the 8B solar neutrino spectrum,
despite the vanishing contribution to CEνNS.
μμ ¼ εe
D. White dwarf cooling
Large effective couplings between electrons and neu-
trinos could lead to rapid cooling of white dwarfs [45]. As
shown in Ref. [46], white dwarf cooling sets a bound
2g2
Z0ϵ
3m2
Z0
< 1.12 × 10−5 GeV−2;
ð35Þ
which is considerably weaker than the other relevant
bounds discussed above.
νμ ¯νμ; ντ ¯ντ → Z0 → νμ ¯νμ; ντ ¯ντ,
E. Self-interaction of neutrinos in supernovae
The gZ0 coupling could lead to resonant annihilation
processes
at
mZ0 ∼ 30 MeV, even for gZ0 ∼ 10−5, the mean free path
of neutrinos (antineutrinos) will be shorter than that of SM
scattering off nucleons [47]. This consideration has been
invoked in Ref. [48] to evaluate the duration of the burst
such that
using the simplified formula Δt ∼ R2
core=ðmean free pathÞ
and to set a bound on the coupling gZ0 from the measured
duration of the SN1987a neutrino burst. However, as shown
in Ref. [49], when neutrinos are isotropically distributed,
self-interactions cannot prolong the duration of neutrino
bursts [47].
F. B physics
As mentioned above, since in our model the UNEWð1Þ
charges of the third generation of quarks are different from
those of the first two generations, in the mass basis, the
quarks obtain a flavor-changing neutral current (FCNC)
coupling to Z0. After integrating out the Z0 boson, we obtain
an effective coupling of the form
Heff ¼
g2
Z0π
2m2
Z0
VtiV(cid:2)
tj
ð3c − 2Þ
3
ð ¯diγμPLdjÞð¯lγμlÞ;
ð36Þ
where l ∈ fμ; τg, di, dj ∈ fd; s; bg, and Vti and Vtj are the
elements of the third row of the Cabibbo-Kobayashi-
Maskawa matrix. Note that although we start with a
nonchiral coupling of Z0 to fermions, the FCNC coupling
in Eq. (36) is chiral because it originates from the quark-
mass term, which mixes chiralities. That is, we have the
freedom to choose a basis where the right-handed quark
couplings to Z0 remain diagonal and attribute all FCNC to
left-handed down quarks. Here, we use the common
notation used in the literature of b anomalies [15],
C9 ¼ −
g2
Z0π
ffiffiffi
p
m2
2
Z0
1
α
EMGF
3c − 2
3
:
ð37Þ
In the case where C9 ∼ −1, the so-called b anomalies can
be explained [50]. However, very recent LHCb results seem
to be compatible with the SM, reducing the need for new
physics [16,17]. We should note that,
in our model
mZ0 ≪ mb, and therefore the effective action formalism
cannot be used to calculate b → sμþμ−. In fact,
the
contribution of our model to the amplitude of this process
will be suppressed by a factor of m2
Z0 − q2Þ relative to
C9, where q2 is the invariant mass of the final muon pair.
In our model,
Z0=ðm2
C9 ×
m2
Z0
Z0 − q2 ¼ −2
m2
(cid:3)
gZ0
3.5 × 10−4
(cid:4)
2 GeV2
q2
3c − 2
−2 :
ð38Þ
Note that for gZ0 in the range that explains ðg − 2Þμ, the
deviation in the low-energy bins of q2 can be significant.
Taking c ¼ 2=3, the UNEWð1Þ charges of the quarks of all
generations will be equal, so b → sμþμ− cancels out. The
anomaly cancellation can also be fulfilled by adding more
generations of fermions charged under UNEWð1Þ. Notice that
in our model, the FCNC contribution to b → d is suppressed
by one more order of magnitude, that is, by Vtd=Vts.
035007-6
NEUTRINO NONSTANDARD INTERACTIONS WITH ARBITRARY …
PHYS. REV. D 107, 035007 (2023)
FIG. 1. Bounds on the parameter space of the model for c ¼ −0.1 and tan η ¼ −0.75. The colored regions are excluded by various
experiments as indicated in the legend and described in the text. The vertically dashed regions are favored by the ðg − 2Þμ anomaly. The
LMA-dark solution to the solar neutrino anomaly, as well as the bounds on NSI from the neutrino oscillation data [3,10], are indicated by
diagonally dashed lines. The right and left panels correspond to the variations of the model with and without φ, respectively (see Sec. II
for a description). Right: we have taken cφ ¼ 40 and mφ ¼ mZ0 =3. With this ratio, for mZ0 < 30 MeV (i.e., to the left of the vertical line
in the right panel), φ would be too light to avoid the bounds from E774 and E141 [27].
Figures 1–4 summarize all the relevant bounds discussed
above. Figure 1 shows the bounds for c ¼ −0.1 and tan η ¼
−0.75 in the ½mZ0; gZ0(cid:3) plane. The value of tan η ¼ −0.75 is
chosen because at
this value the contribution of new
physics to CEνNS cancels out. The colored regions show
the excluded parameter ranges as follows: Borexino mea-
surements of solar neutrino scattering off electrons (solid
red), searches for Z0 decaying into eþe− at NA48=2
(dashed green), searches for invisible Z0 decays at NA64
(dotted blue), the upper bound mφ < 10 MeV from the
combination of E774 with E141 (vertical dashed blue),
and the region where the contribution of new physics to
ðg − 2Þμ exceeds the observed deviation from the SM
prediction (dash-dotted green). In the vertical dashed area,
the ðg − 2Þμ
our model provides an explanation for
the diagonally dashed regions
anomaly. Furthermore,
FIG. 2. The same as Fig. 1, but projected in the ½εmedium
solutions. The horizontal line depicts tan η ¼ −0.75 for which the contribution from the new physics to CEνNS is suppressed.
; tan η(cid:3) plane. The vertical bands correspond to the LMA and LMA-dark
μμ
035007-7
NICOLÁS BERNAL and YASAMAN FARZAN
PHYS. REV. D 107, 035007 (2023)
FIG. 3. The same as Fig. 1, but for c ¼ 2=3.
FIG. 4. The same as Fig. 2, but for c ¼ 2=3.
μμ
μμ
< 1.422 and 2 < εmedium
correspond to the LMA and LMA-dark solutions, for which
−0.081 < εmedium
< 3, respec-
tively. The right panel of Fig. 1 shows the case with an
additional scalar φ, assuming cφ ¼ 40 and mφ ¼ mZ0=3.
With this value of cφ, the perturbativity limit discussed at
the end of Sec. II is still satisfied.
Similar information projected in the ½εmedium
; tan η(cid:3) plane
is presented in Fig. 2. The vertical bands correspond to the
LMA and LMA-dark solutions, and the horizontal line
represents tan η ¼ −0.75, at which the contribution from
new physics to CEνNS vanishes. As discussed above, for
−37 ≲ tan η ≲ 0.5, the LMA-dark solution cannot be com-
patible with the Borexino bound within our model, regard-
less of the values of the other parameters. However, for
μμ
light Z0
[51,52]. As shown in Fig. 2,
higher values of tan η, we can have the LMA-dark solution
without conflict with other bounds. The CEνNS measure-
ments will eventually test this solution with tan η > 0.5
even for
for
tan η > 0.5, both the LMA-dark and LMA bands have a
significant overlap with the dashed area in which our model
can explain the ðg − 2Þμ anomaly. Figure 2 also shows the
conflict between LMA-dark and the Borexino bound for
negative values of tan η. However, as seen in these figures
for c ¼ −0.1 and mZ0 ∼ 40 MeV, values of εmedium
¼
εmedium
∼ 1 can be compatible with the Borexino bound
ττ
at tan η ∼ −0.7, with the values of gμ also explaining the
ðg − 2Þμ anomaly. Without φ, the NA64 results exclude this
interesting part of the parameter range but can be revived by
μμ
035007-8
NEUTRINO NONSTANDARD INTERACTIONS WITH ARBITRARY …
PHYS. REV. D 107, 035007 (2023)
μμ
introducing φ, as demonstrated in the right panels of
Figs. 1 and 3. This solution to the ðg − 2Þμ anomaly can
be tested by (i) searching for φ coupled to the electron in
beam dump experiments, (ii) searching for the εmedium
¼
εmedium
effects in the spectrum of solar neutrinos especially
ττ
around Eν ∼ 3 MeV to be probed by the THEIA detector,
(iii) searching for new physics in b → sμþμ− with a
signature enhanced in lower bins of the μþμ− invariant
mass, and (iv) by a dedicated search for light Z0 producing
two electron-positron pairs.
From Eq. (13), we observe that, for c < 0 (c > 0),
εmedium
¼ εmedium
is positive (negative). The bound on the
μμ
ττ
negative values of εmedium
from the oscillation
data is more stringent. For completeness, we have included
Figs. 3 and 4 with a positive c: c ¼ þ2=3. At this value of
c,
the quarks of the three generations have the same
UNEWð1Þ charges, leading to a vanishing new contribution
to FCNC and therefore to b → sμþμ−.
¼ εmedium
ττ
μμ
IV. CONCLUSIONS AND DISCUSSION
large NSI
In the literature, there is a class of models based on flavor
gauge symmetries with a MeV-ish gauge boson that leads
to nonstandard neutral current interaction between neutri-
nos and quarks. By gauging the baryon number,
the
couplings of the u and d quarks are equal since they share
the same baryon number. For relatively light Z0,
the
contribution to CEνNS is suppressed, so the present
CEνNS
for
allow relatively
bounds
mZ0 < 30 MeV. However,
these models can eventually
be tested by improving the precision of the CEνNS
experiments. As shown in Ref. [9], to hide NSI from
CEνNS, the ratio of tan η ¼ εn=εp should have a certain
value tan η ¼ −Z=N ≃ −0.75. In this paper, we have built a
model that can produce NSI with arbitrary tan η. The model
is based on gauging a combination of the lepton and baryon
numbers of different generations with a light gauge boson
Z0
that mixes with the photon. The mixing breaks the
equality of the couplings of the up and down quarks
because they have unequal electric charges. Within this
framework, the NSI couplings are lepton flavor conserving.
Since we do not gauge Le, the NSI for νe and ¯νe (that is, εee)
remains zero, so the bounds from νe or ¯νe scattering (such
as the ones from GEMMA [19]) can be evaded. However,
μμ and εe
because of the gauge boson mixing with the photon,
nonstandard interactions between the muon and tau neu-
trinos with the electron (i.e., εe
ττ, respectively) are
unavoidable. Thus, we expect an observable effect on the
scattering of solar neutrinos off electrons at detectors
such as Borexino. Within our model, the Borexino bound
is not compatible with the LMA-dark solution for
−37 < tan η < 0.5. However, we have found regions of
the parameter space with tan η > 0.5 in which both LMA-
dark and a solution to the ðg − 2Þμ anomaly can be
this parameter space range can
achieved. Interestingly,
be tested by CEνNS experiments exploiting spallation
neutron sources.
μμ
μμ
¼ εmedium
ττ
We have focused on regions of the parameter space for
which tan η ≃ −0.75. In this range, even large values for
εmedium can be hidden from CEνNS experiments. We have
found that εmedium
∼ 1 and a solution to ðg − 2Þμ
can be obtained simultaneously. If the invisible decay mode
of Z0 dominates, the bound from NA64 rules out the tan η ∼
−0.75 range with large εmedium
∼ 1. However, it becomes
viable once the decay mode Z0 → φ ¯φ → e−eþe−eþ is
allowed. The light φ particles that decay into pairs e−eþ
can be searched by beam dump experiments. Furthermore,
εmedium
∼ 1 can be tested with future solar
μμ
neutrino experiments. If in the solar neutrino data evidence
∼ 1 is found without a corresponding
for εmedium
μμ
signal at CEνNS, an interpretation would be tan η ¼ −0.7.
Within our model, this also implies a distinct feature in the
distribution of the invariant mass of the muon pair at
b → sμþμ−, which can be tested.
¼ εmedium
ττ
¼ εmedium
ττ
ACKNOWLEDGMENTS
support
N. B. received funding from the Spanish FEDER/MCIU-
AEI under Grant No. FPA2017-84543-P. Y. F. has received
financial
from Saramadan under Contract
No. ISEF/M/401439. She would like to acknowledge the
support from the ICTP through the Associates Programme
and from the Simons Foundation through Grant
No. 284558FY19. This project has received funding and
support from the European Union’s Horizon 2020 research
and innovation program under the Marie Skłodowska-
Curie Grant Agreement No. 860881 (H2020-MSCA-
ITN-2019 HIDDeN).
[1] Y. Farzan, Phys. Lett. B 748, 311 (2015); Y. Farzan and
I. M. Shoemaker, J. High Energy Phys. 07 (2016) 033; Y.
Farzan and J. Heeck, Phys. Rev. D 94, 053010 (2016); Y.
Farzan, arXiv:1612.04971; Y. Farzan and M. Tortola, Front.
Phys. 6, 10 (2018); J. Heeck, M. Lindner, W. Rodejohann,
and S. Vogl, SciPost Phys. 6, 038 (2019); P. B. Denton,
Y. Farzan, and I. M. Shoemaker, Phys. Rev. D 99, 035003
(2019); Y. Farzan, Phys. Lett. B 803, 135349 (2020); C. A.
Argüelles, G. Barenboim, M. Bustamante, P. Coloma, P. B.
Denton, I. Esteban, Y. Farzan, E. F. Martínez, D. V. Forero,
A. M. Gago et al., arXiv:2203.10811; M. Hoferichter, J.
Men´endez, and A. Schwenk, Phys. Rev. D 102, 074018
035007-9
NICOLÁS BERNAL and YASAMAN FARZAN
PHYS. REV. D 107, 035007 (2023)
(2020); P. Coloma, M. C. Gonzalez-Garcia, and M. Maltoni,
J. High Energy Phys. 01 (2021) 114; A. Crivellin, M.
Hoferichter, M. Kirk, C. A. Manzari, and L. Schnell, J. High
Energy Phys. 10 (2021) 221.
[2] A. Y. Smirnov and X. J. Xu, J. High Energy Phys. 12 (2019)
046.
[3] M. C. Gonzalez-Garcia and M. Maltoni, J. High Energy
Phys. 09 (2013) 152.
[4] S. K. Agarwalla, P. Bagchi, D. V. Forero, and M. Tórtola,
J. High Energy Phys. 07 (2015) 060.
[5] P. Bakhti and Y. Farzan, J. High Energy Phys. 07 (2014)
064.
[28] J. D. Bjorken, S. Ecklund, W. R. Nelson, A. Abashian, C.
Church, B. Lu, L. W. Mo, T. A. Nunamaker, and P.
Rassmann, Phys. Rev. D 38, 3375 (1988).
[29] B. D. Fields, K. A. Olive, T. H. Yeh, and C. Young,
J. Cosmol. Astropart. Phys. 03 (2020) 010; 11 (2020) E02;
T. Kahniashvili, E. Clarke, J. Stepp, and A. Brandenburg,
Phys. Rev. Lett. 128, 22 (2022); J. Coffey, L. Forestell, D. E.
Morrissey, and G. White, J. High Energy Phys. 07 (2020)
179.
[30] J. P. Lees et al. (BABAR Collaboration), Phys. Rev. Lett.
119, 131804 (2017).
[31] A. V. Artamonov et al. (E949 Collaboration), Phys. Rev. D
[6] P. Coloma and T. Schwetz, Phys. Rev. D 94, 055005 (2016);
94, 032012 (2016).
95, 079903(E) (2017).
[7] J. Liao, D. Marfatia, and K. Whisnant, J. High Energy Phys.
[32] P. Bakhti and Y. Farzan, Phys. Rev. D 95, 095008 (2017).
[33] E. Cortina Gil et al. (NA62 Collaboration), Phys. Lett. B
01 (2017) 071.
816, 136259 (2021).
[8] Y. Farzan and M. Tortola, Front. Phys. 6, 10 (2018).
[9] M. Chaves and T. Schwetz, J. High Energy Phys. 05 (2021)
[34] Y. Farzan and J. Heeck, Phys. Rev. D 94, 053010 (2016).
[35] J. Altegoer et al. (NOMAD Collaboration), Phys. Lett. B
042.
[10] I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni, I. Martinez-
Soler, and J. Salvado, J. High Energy Phys. 08 (2018) 180.
[11] T. Aoyama, N. Asmussen, M. Benayoun, J. Bijnens, T.
Blum, M. Bruno, I. Caprini, C. M. Carloni Calame, M. C`e,
G. Colangelo et al., Phys. Rep. 887, 1 (2020).
[12] B. Abi et al. (Muon g-2 Collaboration), Phys. Rev. Lett.
428, 197 (1998).
[36] J. R. Batley et al. (NA48/2 Collaboration), Phys. Lett. B
746, 178 (2015).
[37] T. Beranek, H. Merkel, and M. Vanderhaeghen, Phys. Rev.
D 88, 015032 (2013).
[38] B. Wojtsekhowski, AIP Conf. Proc. 1160, 149 (2009).
[39] B. Wojtsekhowski, D. Nikolenko,
and I. Rachek,
126, 141801 (2021).
arXiv:1207.5089.
[13] D. Banerjee, V. E. Burtsev, A. G. Chumakov, D. Cooke, P.
Crivelli, E. Depero, A. V. Dermenev, S. V. Donskov, R. R.
Dusaev, T. Enik et al., Phys. Rev. Lett. 123, 121801 (2019).
[14] Y. M. Andreev, D. Banerjee, B. Banto-Oberhauser, J.
Bernhard, P. Bisio, M. Bondi, V. Burtsev, A. Celentano,
N. Charitonidis, A. G. Chumakov et al., Phys. Rev. Lett.
129, 161801 (2022).
[15] A. Crivellin, G. D’Ambrosio, and J. Heeck, Phys. Rev. D
91, 075006 (2015).
[16] LHCb Collaboration, arXiv:2212.09153.
[17] LHCb Collaboration, arXiv:2212.09152.
[18] R. Harnik, J. Kopp, and P. A. N. Machado, J. Cosmol.
Astropart. Phys. 07 (2012) 026.
[19] A. G. Beda, E. V. Demidova, A. S. Starostin, V. B.
Brudanin, V. G.
Egorov, D. V. Medvedev, M. V.
Shirchenko, and T. Vylov, Phys. Part. Nucl. Lett. 7, 406
(2010).
[20] D. Feldman, Z. Liu, and P. Nath, Phys. Rev. D 75, 115001
(2007).
[21] M. Cadeddu, C. Giunti, K. A. Kouzakov, Y. Li, A. I.
Studenikin, and Y. Zhang, Proc. Sci. EPS-HEP2019
(2020) 423 [arXiv:2001.02278].
[22] H. Davoudiasl, H. S. Lee, and W. J. Marciano, Phys. Rev. D
85, 115019 (2012).
[23] A. Greljo, P. Stangl, A. E. Thomsen, and J. Zupan, J. High
Energy Phys. 07 (2022) 098.
[24] A. Serenelli, S. Basu, J. W. Ferguson, and M. Asplund,
Astrophys. J. Lett. 705, L123 (2009).
[25] D. W. P. Amaral, D. G. Cerdeno, A. Cheek, and P.
Foldenauer, Eur. Phys. J. C 81, 861 (2021).
[26] G. Mohlabeng, Phys. Rev. D 99, 115001 (2019).
[27] A. Bross, M. Crisler, S. H. Pordes, J. Volk, S. Errede, and J.
Wrbanek, Phys. Rev. Lett. 67, 2942 (1991).
[40] M. Freytsis, G. Ovanesyan, and J. Thaler, J. High Energy
Phys. 01 (2010) 111.
[41] K. Asai, A. Das, J. Li, T. Nomura, and O. Seto, Phys. Rev. D
106, 095033 (2022).
[42] P. B. Denton and J. Gehrlein, Phys. Rev. D 106, 015022
(2022).
[43] D. Baxter, J. I. Collar, P. Coloma, C. E. Dahl, I. Esteban, P.
Ferrario, J. J. Gomez-Cadenas, M. C. Gonzalez-Garcia,
A. R. L. Kavner, C. M. Lewis et al., J. High Energy Phys.
02 (2020) 123.
[44] P. Coloma, M. C. Gonzalez-Garcia, M. Maltoni, J. P.
Pinheiro, and S. Urrea, J. High Energy Phys. 07 (2022) 138.
[45] H. K. Dreiner, J. F. Fortin, J. Isern, and L. Ubaldi, Phys. Rev.
D 88, 043517 (2013).
[46] M. Bauer, P. Foldenauer, and J. Jaeckel, J. High Energy
Phys. 07 (2018) 094.
[47] D. G. Cerdeño, M. Cermeño,
and Y.
Farzan,
arXiv:2301.00661.
[48] A. Kamada and H. B. Yu, Phys. Rev. D 92, 113004
(2015).
[49] D. A. Dicus, S. Nussinov, P. B. Pal, and V. L. Teplitz, Phys.
Lett. B 218, 84 (1989).
[50] M. Algueró, B. Capdevila, S. Descotes-Genon, J. Matias,
and M. Novoa-Brunet, Eur. Phys. J. C 82, 326 (2022); W.
Altmannshofer and P. Stangl, Eur. Phys. J. C 81, 952 (2021);
M. Ciuchini, M. Fedele, E. Franco, A. Paul, L. Silvestrini,
and M. Valli, arXiv:2110.10126; S. Neshatpour, T. Hurth, F.
Mahmoudi, and D. Martinez Santos, Proc. Sci. EPS-
HEP2021 (2022) 564 [arXiv:2112.08343].
[51] P. B. Denton, Y. Farzan, and I. M. Shoemaker, J. High
Energy Phys. 07 (2018) 037.
[52] V. De Romeri, O. G. Miranda, D. K. Papoulias, G. Sanchez
Garcia, M. Tórtola, and J. W. F. Valle, arXiv:2211.11905.
035007-10
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10.1371_journal.pone.0241692.pdf
|
Data Availability Statement: Data are contained
within the paper.
|
Data are contained within the paper.
|
RESEARCH ARTICLE
Understanding growth and age of red tree
corals (Primnoa pacifica) in the North Pacific
Ocean
Emma Choy1, Kelly Watanabe1, Branwen WilliamsID
Ellen Druffel4, Thomas Lorenson5, Mary Knaak1
1*, Robert Stone2, Peter Etnoyer3,
1 W.M. Keck Science Department of Claremont McKenna, Pitzer, and Scripps Colleges, Claremont, CA,
United States of America, 2 Alaska Fisheries Science Center, National Marine Fisheries Service, NOAA,
Juneau, AK, United States of America, 3 NOAA National Centers for Coastal Ocean Science, Charleston,
SC, United States of America, 4 Department of Earth System Science, University of California Irvine, Irvine,
CA, United States of America, 5 USGS Pacific Coastal and Marine Science Center, Santa Cruz, CA, United
States of America
* bwilliams@kecksci.claremont.edu
Abstract
Massive, long-lived deep-sea red tree corals (Primnoa pacifica) form a solid, layered axis
comprised of calcite and gorgonin skeleton. They are abundant on the outer continental
shelf and upper slope of the Northeast Pacific, providing habitat for fish and invertebrates.
Yet, their large size and arborescent morphology makes them susceptible to disturbance
from fishing activities. A better understanding of their growth patterns will facilitate in-situ
estimates of population age structure and biomass. Here, we evaluated relationships
between ages, growth rates, gross morphological characteristics, and banding patterns in
11 colonies collected from depths of ~141–335 m off the Alaskan coast. These corals ran-
ged in age from 12 to 80 years old. They grew faster radially (0.33–0.74 mm year-1) and axi-
ally (2.41–6.39 cm year-1) than in previously measured older colonies, suggesting that
growth in P. pacifica declines slowly with age, and that basal diameter and axial height even-
tually plateau. However, since coral morphology correlated with age in younger colonies (<
century), we developed an in-situ age estimation technique for corals from the Northeast
Pacific Ocean providing a non-invasive method for evaluating coral age without removing
colonies from the population. Furthermore, we determined that annual bands provided the
most accurate means for determining coral age in live-collected corals, relative to radiomet-
ric dating. Taken together, this work provides insight into P. pacifica growth patterns to
inform coastal managers about the demographics of this ecologically important species.
With this new ability to estimate the age of red tree corals in-situ, we can readily determine
the age-class structure and consequently, the maturity status of thickets, using non-invasive
video survey techniques when coupled with mensuration systems such as lasers or stereo-
cameras. Enhanced surveys could identify which populations are most vulnerable to distur-
bance from human activities, and which should be highlighted for protection.
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OPEN ACCESS
Citation: Choy E, Watanabe K, Williams B, Stone R,
Etnoyer P, Druffel E, et al. (2020) Understanding
growth and age of red tree corals (Primnoa
pacifica) in the North Pacific Ocean. PLoS ONE
15(12): e0241692. https://doi.org/10.1371/journal.
pone.0241692
Editor: Erik Caroselli, University of Bologna, ITALY
Received: January 10, 2020
Accepted: October 20, 2020
Published: December 1, 2020
Copyright: This is an open access article, free of all
copyright, and may be freely reproduced,
distributed, transmitted, modified, built upon, or
otherwise used by anyone for any lawful purpose.
The work is made available under the Creative
Commons CC0 public domain dedication.
Data Availability Statement: Data are contained
within the paper.
Funding: BW & PE NA08OAR4300817 NOAA’s
West Coast & Polar Regions Undersea Research
Center. Program no longer running. The funders
had no role in study design, data collection and
analysis, decision to publish, or preparation of the
manuscript.
Competing interests: The authors have declared
that no competing interests exist.
PLOS ONE | https://doi.org/10.1371/journal.pone.0241692 December 1, 2020
1 / 18
PLOS ONEPrimnoidae age models
Introduction
Fishing practices, including bottom trawling and long lining, can disturb benthic ecosystems,
particularly those where the seafloor is highly structured with large sedentary invertebrates
such as corals and sponges [1–4]. Gorgonian corals are especially vulnerable to fishing prac-
tices due to easy ensnarement of this large arborescent sea-fan, which adheres to the seafloor
with a single holdfast. Some gorgonians are very long-lived and communities of older colonies
compromised by fishing gear may take decades to centuries to recover [5–9]. Understanding
how fast these corals grow and the relationship between size and age can provide estimates of
recovery times of these communities [2, 10, 11]. This is critically important in areas vulnerable
to fishing disturbance such as those in the Northeast Pacific Ocean where the importance of
these habitats to fisheries has been documented [3, 4, 12].
Gorgonian coral communities are important components of the sea floor because they pro-
vide habitat for a diversity of invertebrates and fishes [13, 14]. In fact, these corals can serve as
habitat engineers [15]: in their absence, shallow-water assemblages shift from predominately
corals and sponges to algae and turf-forming species [16]. Furthermore, some gorgonian corals
are indicator species, and in addition to disturbance from fishing activities are sensitive to
warming ocean temperatures [16, 17] and oil pollution [18, 19]. The conservation of these cor-
als is thus critical for maintaining ecological diversity and community resilience.
The gorgonian Primnoa pacifica [20], also known as the red tree coral, are ecologically
important deep-sea corals in the North Pacific Ocean [4]. They have been referred to as “key-
stone species,” “foundation species,” and “ecosystem engineers” [4, 21]. These animals are com-
prised of an internal skeleton arising from the holdfast attached directly to hard substrate. Their
skeleton is largely comprised of protein-rich organic gorgonin sometimes interspersed with cal-
cite. The source of elements to the gorgonin skeleton is organic material produced in surface
waters and transported to depth to be fed upon by the corals. In contrast, the calcite elements
are sourced from ambient seawater at depth [22–24]. A thin layer of coenenchyme with polyps
covers the entirety of the skeleton. The skeletal central axis grows axially and radially, such that
through time the coral grows taller along its axial axis and adds layers to the outside of its skele-
tal trunk increasing the trunk diameter. They can grow to massive size (greater than 2 m in
height [25]), in part because of their long lifespans that can exceed a century or more [26].
In the central skeletal axis of some gorgonian corals, concentric couplets of gorgonin-calcite
bands form annually, providing a means to determine the age of a colony; however, fine-scale
bands of unknown periodicity are also present, indicating possible drivers of skeletal banding
[9, 26–29]. The finer bands may reflect variations in the color of the organic skeleton (which in
turn reflects the degree of protein cross-linkages during skeletal formation) and/or alternations
of the gorgonin with calcite skeleton [9, 30, 31]. In addition to annual growth band counts,
radiometric dating (14C and 210Pb) can provide estimates of coral age, albeit with potential
uncertainties depending on the age and collection date of the coral [24, 26, 32, 33].
Previous studies using a combination of annual growth band counts and radiometric dating
in P. pacifica yielded different estimates of radial growth rates ranging from 0.14 to 0.57 mm
yr-1 [26, 34, 35]. Axial growth rates for this species have only been reported for two specimens,
and those estimates ranged from 1.60 to 2.32 cm yr-1 [26]. Obtaining axial growth rates in a
much larger sample of corals is key to determine the rate of recovery of disturbed
communities.
Therefore, the objectives of this study were to 1) determine the age and growth (radial and
axial) for a suite of colonies collected in the Northeast Pacific Ocean with morphological data;
2) develop and evaluate age estimate calculations converting morphological data into age; 3)
evaluate annual growth band counts and radiometric dating as age determination techniques;
PLOS ONE | https://doi.org/10.1371/journal.pone.0241692 December 1, 2020
2 / 18
PLOS ONEPrimnoidae age models
and 4) examine the periodicity and potential drivers of sub-annual banding in the axial skele-
ton. As a whole, this work provides critical insight into recovery times of P. pacifica which
helps inform management policies of important deep-sea coral habitats.
Materials and methods
Sample sites and collection
Three intact colonies were collected in 2013 using the remotely operated vehicle (ROV) H2000
deployed from the F/V Alaska Provider (Table 1; Figs 1 and 2). Seven intact colonies were col-
lected in 2015 using the ROV Zeus II deployed from the R/V Dorado Discovery (Table 1, Fig
1). Additionally, a single specimen (GOA 004; Table 1) was collected with a research bottom
trawl deployed from the F/V Alaska Provider just prior to the 2013 cruise. Fieldwork research
was performed by NOAA’s Alaska Fisheries Science Center and Deep Sea Coral Research and
Technology Program under the authority of the U.S. Department of Commerce. Colonies
were air dried on board the vessels and morphological data were recorded, including maxi-
mum height, basal diameter, wet weight, and distance from the base to first branch.
Sample preparation
In the laboratory, a diamond-edge saw was used to cut three adjacent 0.25–0.50 cm cross-sec-
tion discs from the basal portion (holdfast) of each coral. One cross-section from each coral
was mounted on a glass slide and polished for annual band counts and digital imaging, one
cross-section was used for dissected band counts and radiocarbon dating, and one cross-sec-
tion was used for 210Pb dating. Although growth rings were only counted in two of the three
cross sections, it is assumed that all cross sections contain the same number of growth bands
since they were cut from adjacent parts of the coral. The two cross-sections used for (1) dis-
sected band counts and radiocarbon dating and (2) 210Pb dating were bathed in 100 ml of 5%
HCl solution for a minimum of 10 days (up to four weeks). The HCl solution was refreshed
every other week for four weeks so that all the calcite bands layered between the organic
Table 1. Sample ID, collection information, and morphological data for the 11 coral colonies included in this study. Age estimates for all specimens are derived from
annual growth bands. Dates are mm/dd/yyyy.
Sample
ID
Collection
date
WPA 001
6/4/2015
WPA 002
6/5/2015
WPA 003
6/5/2015
WPA 004
6/7/2015
Locality
Latitude Longitude Depth
58.2457
-138.9045
(m)
141
58.2458
-138.9044
142
58.2377
-138.9894
147
58.2047
-138.8175
163
Fairweather
Grand
Fairweather
Grand
Fairweather
Grand
Fairweather
Grand
WPB 005
6/9/2015
Dixon Entrance
54.6252
-132.8828
WPB 006
6/8/2015
Dixon Entrance
54.6345
-132.8510
WPB 007
6/8/2015
Dixon Entrance
54.6345
-132.8510
GOA 004
7/19/2013
Portlock Bank
58.3102
-149.5087
GOA 011
8/13/2013
Shutter Ridge
56.1749
-135.1165
GOA 022
8/13/2013
Shutter Ridge
56.1722
-135.1160
GOA 067
8/15/2013
Shutter Ridge
56.1784
-135.1180
335
164
164
147
191
203
214
Height
(cm)
Width
(cm)
123
171
110
223
160
99
87
78
65
72
67
60
70
101
98
26
23
50
24
32
153
121
BaseD
(mm)
32.5
25.5
45.0
53.0
49.0
19.0
15.0
15.0
10.0
16.0
45.0
DistToBr�
(cm)
Wet weight
(kg)
Age estimate
(years)
7
62
30
2.24
1.25
n/a
29.5
20.45
29
20
17
16
8.5
12.3
32
16.6
1.14
0.64
1.08
0.62
1.13
n/a
26 ± 2
28 ± 2
19 ± 2
80 ± 1
67 ± 4
16 ± 2
15 ± 1
14 ± 2
12 ± 2
18 ± 1
31 ± 2
�Distance to first branch.
https://doi.org/10.1371/journal.pone.0241692.t001
PLOS ONE | https://doi.org/10.1371/journal.pone.0241692 December 1, 2020
3 / 18
PLOS ONEPrimnoidae age models
Fig 1. Map showing the collection sites of Primnoa pacifica from the current project relative to previous studies
(Andrews et al., 2002 [26]; Aranha et al., 2014 [34]; Williams et al., 2007 [35]). Map created by Michele Masuda.
https://doi.org/10.1371/journal.pone.0241692.g001
skeleton had dissolved. After acidification, the sample was transferred to soak in Milli’Q water
for band peeling.
Photographed band counts
Using the mounted and polished cross-sections (Fig 2), the number of annual bands along the
longest radial transect were counted by two researchers under a light microscope for all speci-
mens in this study. The radial growth rate (mm year-1) of each coral was obtained by dividing
the base diameter of the coral by the age of the coral, as determined by annual growth bands.
Similarly, axial growth rates (cm year-1) were calculated by dividing the maximum height of
the coral by the age of the coral, as determined by annual growth bands.
The cross sections were then imaged using a Nikon digital microscope with NIS-Elements,
a Nikon microscope software package. Using these high-resolution images, the total number
of sub-annual bands were counted along the same longest radial transect for four specimens
(GOA 011, WPA 002, WPA 004, and WPB 005) by two researchers (S1 File). Four larger speci-
mens were chosen to encompass a range in sizes and the ability to cut adjacent cross sections.
The bands were sometimes difficult to distinguish; when major discrepancies in band counts
were evident, researchers re-counted bands collaboratively, discussing the presence or absence
of a band when uncertainties arose.
Dissected band counts
Using one of the HCl-bathed cross-sections, sub-annual growth bands were peeled and
counted in sections from the outside to the center of the coral cross-section using forceps and
PLOS ONE | https://doi.org/10.1371/journal.pone.0241692 December 1, 2020
4 / 18
PLOS ONEPrimnoidae age models
Fig 2. (A) Primnoa pacifica colonies on the Shutter Ridge at a depth of 180 m, (B) sub-section from specimen WPA
005 with a white line showing region of axis used to count growth bands, (C) image showing annual growth bands and
(D) sub-annual growth bands.
https://doi.org/10.1371/journal.pone.0241692.g002
working under a microscope at 30x magnification. Without tearing the bands, sections were
peeled with the least number of bands possible, with each section containing approximately
1–20 bands depending on the ease of band separation. If possible, sections were peeled all the
way around the circumference of the sample. The separated sections were air dried and pack-
aged into labeled weigh paper packets.
Radiocarbon analysis
For radiocarbon sample preparation, a laminar flow hood workspace was cleaned with deion-
ized water. All glassware was soaked in 10% HCl for a minimum of 1 hour. The glass vials used
for radiocarbon dating were additionally combusted at 540 ˚C for 2 hours, while the vial caps
were washed with soap and water, and then acid washed in 10% HCl for 30 seconds and rinsed
with water. After sub-annual bands were dissected and counted, three of the four colonies
(WPA 002, WPB 005, and WPA 004) were selected for radiocarbon analysis. Based on annual
band counts, colony GOA 011 was too young for radiocarbon dating to be effective. Five milli-
gram sub-samples reflecting no more than 10% of the entire sample and equidistant from each
other based on dissected band count numbers were pulverized into acid washed glass vials.
The outermost bands of each sample’s cross-section were analyzed to determine the Δ14C val-
ues at the time of collection. The 14C was measured at the Keck Carbon Cycle Accelerator
Mass Spectrometry at the University of California, Irvine. Five milligrams of a National Insti-
tute of Standards and Technology (NIST) wood standard (Firi H) and a coal standard were
also prepared as a reference for radiocarbon analysis and sample preparation backgrounds
were subtracted based on these measurements. All results were corrected for isotopic fraction-
ation according to the conventions of Stuiver and Polach (1977) [36]. Δ14C values were
assigned a year using the following equation:
Year ¼
ðD14C (cid:0) DClo AÞðYearhi A (cid:0) Yearlo AÞ
DChi A (cid:0) D14Clo A
þ Yearlo A
PLOS ONE | https://doi.org/10.1371/journal.pone.0241692 December 1, 2020
ð1Þ
5 / 18
PLOS ONEPrimnoidae age models
where Year is the associated year calculated for this study, Δ14C is the measured value of the
coral sub-section being dated, Δ14Clo A and Yearlo A are the lower estimates of Δ14C and calcu-
lated year, and Δ14Chi A and Yearhi A are the upper estimates of Δ14C and calculated year (data
from Andrews et al., 2013 [37]). Radiocarbon records from Andrews et al. (2013) [37] were
constructed using Δ14C data from otoliths of Northeast Pacific yelloweye rockfish (Sebastes
ruberrimus), Pacific halibut, and known-age abalone shell samples. A loess curve, including
95% confidence intervals, was fit to the Δ14C otolith data of Northeast Pacific yelloweye rock-
fish to produce a radiocarbon bomb curve (S1 Fig in S1 File). The yelloweye rockfish are bot-
tom dwelling fish that were collected in waters off southeast Alaska [38]. The rockfish
chronology identified the initial rise in 14C in the late 1950s and peak values in the late 1960s/
early 1970s, which agrees with the 14C reconstruction by Roark et al. (2005) [23] for a bamboo
coral from the northwestern coast of Canada.
Lead-210 dating
Measurements of 210Pb activity provided a third method for evaluating coral age for specimens
WPA 002, WPA 004, and WPB 005. Specimens were rinsed thoroughly in Milli-Q water and
then dried on a clean watch glass in a laminar flow hood. While still malleable enough to be
manipulated, the specimens were split into three sections for sub-sampling (exterior, middle,
and interior). Subsamples were dried, cooled in liquid nitrogen, and pulverized in a Genogrin-
der. Subsamples were weighed (~ 1 g) and placed in clean, new 4-ml vials. Due to the smaller
size of the cross-sections initially cut, it was necessary to cut a second cross-section for WPA
002 and WPA 004, such that the sub-samples for these specimens were a combination of two
cross-sections. All prepared 210Pb samples were sent to the United States Geological Survey at
the Pacific Coastal and Marine Science Center for 210Pb dating using a germanium gamma ray
detector. 210Pb decays at a constant rate yet is also in secular equilibrium with 226Ra. To deter-
mine the specimen age from 210Pb values, the excess amount of 210Pb (210Pbex), ultimately
derived from deposition of atmospheric 222Rn, which in turn decays to 210Pb, is determined by
subtracting measured 226Ra activity. 210Pbex decays according to the law of radioactive decay:
Aex ¼ Aoe(cid:0) lt
ð2Þ
where Aex is the measured 210Pbex at time t, Ao is the initial 210Pbex at time 0, and λ is 0.0311 or
the natural log of 2 divided by the half-life of 210Pb (22.3 years). Inputting the calculated
210Pbex values for each specimen into the equation above yields the age of each sample.
Data analysis
The relationship between specimen age derived from annual band counts and the morphologi-
cal data was quantified by comparing linear and logarithmic fits to find the best fit model
using R software. For height, width, and basal diameters, these equations represent a means to
convert a measurement of a morphological parameter into specimen age. We primarily focus
on basal diameter because this metric has most often been reported in corals that also have
their ages determined. We validated these age estimation calculations in three ways: 1) We
applied the calculations to ten previously collected and aged corals with available radii data
that were less than a century old from the northeast Pacific Ocean ([34, 35]; Table 3). Basal
diameter was determined from the radius in these corals (assumed diameter = 2�radius,
although see discussion on this assumption below). 2) We developed and validated a second
calculation relating basal diameter to age using all available colonies (< century in age) for the
northeast Pacific Ocean. 3) We apply this regional age estimation to corals collected from the
western Pacific Ocean [39]. For each of these comparisons, we evaluated how well the ages
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PLOS ONEPrimnoidae age models
derived from the basal estimates correspond to the ages derived from annual band counts or
210Pb dating.
In the three specimens with 14C-dating (WPA 002, WPA 004, WPB 005), we calculated
banding frequencies and sub-annual radial and axial growth rates. Banding frequencies
(growth bands year-1) were calculated through time for each colony according to the following
equation:
Banding frequency ¼
Band countn (cid:0) Band countnþ1
Agen (cid:0) Agenþ1
;
n ¼ 1; 2; 3 . . .
ð3Þ
Where Band count is the average associated growth band count of the sub-section used for
radiocarbon dating, Agen is the radiocarbon age of the older n sub-section of the coral, and n is
the sub-section of the coral sent in for radiocarbon dating (a smaller n is closer to the center of
the coral representing older skeleton).
Results
Morphological data
Eleven intact specimens were collected during two research cruises in 2013 and 2015. Coral
height (axial length) ranged from 65 to 223 cm, width ranged from 23 to 121 cm, and basal
diameter ranged from 1 to 5.3 cm (Table 1). Many of the morphological parameters signifi-
cantly correlated with each. Height and width were significantly correlated, such that taller
specimens were wider (p = 0.004, r2 = 0.62, N = 11) (Table 2). Basal diameter significantly cor-
related with height (p = 0.0003, r2 = 0.79, N = 11) and width (p<0.0001, r2 = 0.85, N = 11)
(Tables 1 and 2). Height correlated with the distance to first branch (p = 0.03, r2 = 0.41,
N = 11) (Table 2). The weight of the specimen significantly correlated with age, height, weight,
and axial and radial growth rates (Table 2).
Table 2. Statistics comparing morphological data, ages, and growth rates of Primnoa pacifica.
Age estimate
(years)
Age estimate (years)
Height (cm)
Width (cm)
BaseD (cm)
DistToBr (cm)
Wet weight (kg)
(N = 9)
Radial growth rates
(mm yr-1)
Axial growth rates (cm
yr-1)
Height
(cm)
0.0001�
0.83
Width
(cm)
0.0028�
0.65
BaseD
(mm)
0.0000�
0.90
0.0041
0.0003
0.62
0.79
0.0001
0.85
DistToBr
(cm)
Wet weight (kg)
(N = 9)
0.3475
0.10
0.0333
0.41
0.2020
0.17
0.2821
0.13
0.0000
0.97
0.0100
0.64
0.0021
0.76
0.0003
0.86
0.5543
0.05
Radial growth rate
(mm yr-1)
0.0748
Axial growth rate
(cm yr-1)
0.0008
0.31
0.3930
0.08
0.8160
0.01
0.6523
0.02
0.7496
0.01
0.0296
0.51
0.73
0.0866
0.29
0.0631
0.33
0.0089
0.55
0.8717
0.00
0.0022
0.76
0.0689
0.32
Age estimates for all specimens are derived from visual counts of annual growth bands. Reported is the p-value and r2 for each comparison. All statistics are based on a
linear model, except those indicated with an asterisk, which are based on a logarithmic model. N = 11 unless otherwise noted. Significant relationships are in bold.
https://doi.org/10.1371/journal.pone.0241692.t002
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PLOS ONEPrimnoidae age models
Age estimates based on annual band counts ranged from 12 ± 2 to 80 ± 1 years. These age
estimates correlated with all of the morphological data, except distance to first branch
(Table 2). Using a logarithmic model, older specimens were taller (p<0.0001, r2 = 0.83,
N = 11), wider (p = 0.0028, r2 = 0.65, N = 11), and had a larger basal diameter (p<0.0001, r2 =
0.90, N = 11) (Table 2; Fig 3). A logarithmic model provided the best fit between age and mor-
phological data, excluding weight (Fig 3). Thus height, width, and basal diameter can be used
to determine specimen age in years (± standard error) using the following equations:
ð
Age �21
Þ ¼ e
Heightþ109:8
72:6
ð
Age �21
Þ ¼ e
Widthþ79:4
44:1
Age �5ð
Þ ¼ e
Basal Diameterþ45:8
23:0
ð4Þ
ð5Þ
ð6Þ
Axial growth rates varied from 2.41 to 6.39 cm year-1 and radial growth rates varied from
0.33 to 0.74 mm year-1 (Table 3). Using a linear model, axial growth rates significantly
inversely correlated with age (p<0.001, r2 = 0.73, N = 11) and basal diameter (p = 0.0089, r2 =
0.55, N = 11), and positively correlated with specimen weight (p = 0.0022, r2 = 0.76, N = 9)
(Table 2). Radial growth rates only significantly varied with specimen weight (p = 0.030, r2 =
0.51, N = 9) (Table 2).
Band count comparisons
In four specimens ranging in age from 12 to 80 years, based on annual band counts, the num-
ber of sub-annual dissected bands ranged from 290 ± 28 to 1589 ± 124, while the number of
sub-annual photographed bands ranged from 152 ± 10 to 1131 ± 45 (Table 4). The number of
sub-annual photographed growth bands positively correlated with the number of annual
growth bands, such that there is an average of 14 ± 0.8 sub-annual bands for every annual
Fig 3. Height (black circles), width (white circles), and basal diameter (grey circles) of Primnoa pacifica decrease
logarithmically with age. Statistics are presented in Table 2, Eqs (4)–(6). Dashed lines represent 95% confidence
intervals.
https://doi.org/10.1371/journal.pone.0241692.g003
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PLOS ONEPrimnoidae age models
Table 3. Reported ages, radial and axial growth rates of Primnoa pacifica. Radiometric age estimates for Andrews et al. (2002) [26] and Williams et al. (2007) [35] were
derived from 210Pb. Radiometric age estimates for Aranha et al. (2014) [34] were derived from 14C. OCNMS is the Olympic Coast National Marine Sanctuary. Shiribeshi
seamount is located in the Sea of Japan off the western coast of Hokkaido, Japan. Annual bands were ambiguous in specimens missing age estimates from growth bands
(column 3).
Location
Colony name Age estimate
Fairweather Ground
Fairweather Ground
Fairweather Ground
WPA 001
WPA 002�
WPA 003
Fairweather Ground
WPA 004
Dixon Entrance
Dixon Entrance
Dixon Entrance
Portlock Bank
Shutter Ridge
Shutter Ridge
Shutter Ridge
Dixon Entrance
Dixon Entrance
Dixon Entrance
Dixon Entrance
Dixon Entrance
OCNMS
OCNMS
OCNMS
OCNMS
Dixon Entrance
Dixon Entrance
WPB 005
WPB 006
WPB 007
GOA 004
GOA 011
GOA 022
GOA 067
R1153-0003
R1155-0012
R1155-0013
R1156-0004
R1156-0016
R1162-0015
R1162-0016
R1162-0005
R1165-0002
Colony 1
Colony 2
Portlock Bank, Alaska
Southeast Alaska
Eastern Aleutian Islands
PAL
P88
P26
Shiribeshi Seamount
Shiribeshi Seamount
Shiribeshi Seamount
Shiribeshi Seamount
Shiribeshi Seamount
Shiribeshi Seamount
Shiribeshi Seamount
Shiribeshi Seamount
Shiribeshi Seamount
1
2
3
4
5
6
7
8
9
Shiribeshi Seamount
10
(annual
bands)
26
28
19
80
67
16
15
14
12
18
31
46
34
30
22
16
45
31
40
21
124
5
8
5
9
12
14
15
18
29
40
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
##
——
±
——
——
±
±
±
±
±
±
±
±
±
±
2
2
2
1
4
2
1
2
2
1
2
4
2
3
2
1
2
2
2
4
3
3
2
2
2
2
3
2
6
2
2
Age estimate
(radiometric)
Radius (mm)
Radial growth
rate (mm year-1)
Height (cm)
Axial growth
rate (cm year-1)
Reference
——
42 ± 0.1
——
66 ± 1
38 ± 1
——
26
11
47
6
13
15
11
10
4
5
5
0.6
46
34
119
22
49
75
51
62
87
195
123
43
——
——
——
——
——
±
±
±
±
±
±
±
±
±
112
——
±
±
±
——
——
——
——
——
——
——
——
——
——
16.3
12.8
12.0
26.5
24.5
9.5
7.5
7.5
5.0
8.0
22.5
10.00
19.50
9.00
5.00
4.60
18.75
16.50
13.00
8.10
——
——
17
23
16
0.7
0.9
1.0
1.2
1.3
1.7
2.0
2.2
2.8
5.4
0.64 ± 0.05
0.46 ± 0.04
0.65 ± 0.07
0.33 ± 0.00
0.37 ± 0.02
0.61 ± 0.08
0.52 ± 0.04
0.56 ± 0.08
0.43 ± 0.08
0.46 ± 0.03
0.74 ± 0.05
0.08
0.22
±
±
±
±
±
±
±
±
±
0.13
0.07
0.05
0.08
0.06
0.06
0.03
0.08
0.002
±
——
0.57
0.30
0.23
0.29
0.42
0.53
0.33
0.39
0.18
0.14
0.19
0.37
0.13
0.11
0.19
0.13
0.11
0.12
0.14
0.12
0.10
0.13
123
171
110
223
160
99
87
78
65
72
153
——
——
——
——
——
——
——
——
——
——
——
——
——
——
——
——
——
——
——
——
——
——
——
——
4.82 ± 0.37 This study
6.22 ± 0.44 This study
5.95 ± 0.62 This study
2.79 ± 0.03 This study
2.41 ± 0.14 This study
6.39 ± 0.79 This study
6.00 ± 0.39 This study
5.78 ± 0.81 This study
5.65 ± 0.93 This study
4.11 ± 0.22 This study
5.02 ± 0.32 This study
1.74
2.32
——
——
——
——
——
——
——
——
——
±
±
——
——
——
——
——
——
——
——
——
——
——
——
——
Aranha et al., 2014
Aranha et al., 2014
Aranha et al., 2014
Aranha et al., 2014
Aranha et al., 2014
Aranha et al., 2014
Aranha et al., 2014
Aranha et al., 2014
Aranha et al., 2014
0.19 Andrews et al., 2002
0.09 Andrews et al., 2002
Williams et al., 2007
Williams et al., 2007
Williams et al., 2007
Matsumoto, 2007
Matsumoto, 2007
Matsumoto, 2007
Matsumoto, 2007
Matsumoto, 2007
Matsumoto, 2007
Matsumoto, 2007
Matsumoto, 2007
Matsumoto, 2007
Matsumoto, 2007
�14C results for WPA 002 could also yield an age of 49.1 years with radial growth rates of 0.31 mm yr-1 and axial growth rate of 4.12 cm yr-1.
https://doi.org/10.1371/journal.pone.0241692.t003
band (p = 0.0002, r2 = 1.0, N = 4). Conversely, there is an average of 18 ± 5. Sub-annual dis-
sected growth bands for every annual growth band, although this relationship was not statisti-
cally significant (p = 0.096, r2 = 0.82, N = 4). The number of dissected band counts increased
linearly with sub-annual photographed bands and in most cases was greater than the number
of sub-annual photographed band counts, although this relationship was also not significant
(p = 0.103, r2 = 0.81, N = 4) (Table 4).
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PLOS ONEPrimnoidae age models
Table 4. Annual, sub-annual dissected, and sub-annual photographed band counts for four Primnoa pacifica col-
onies in this study.
Sample ID
Annual Band Count
Sub-annual Dissected Band
Count
Sub-annual Photographed
Band Count
WPA 002
WPA 004
WPB 005
GOA 011
28
80
67
12
±
±
±
±
2
1
4
2
477
1589
790
290
±
±
±
±
64
124
93
28
399
1131
960
152
±
±
±
±
36
45
72
10
https://doi.org/10.1371/journal.pone.0241692.t004
Radiometric age determination
Measured Δ14C values ranged from -93.7 ± 1.3 to 89.4 ± 2.0 (Table 5) and were consistent with
previously published regional Δ14C records from the North Pacific Ocean [23, 37] (S1 Fig in
S1 File). The ages of the corals determined from the timing of the bomb-curve radiocarbon
ranged in age from 38 ± 1 (WPB 005) to 66 ± 1 (WPA 004) years old. Thus, based on ages and
collection year, the corals started growing between 1949 and 1977.
The radiocarbon-derived coral ages were similar to, but consistently older, than the ages
derived from the lead-210 dating (Table 5). WPA 002 has two data points for the oldest value
(S1 Fig in S1 File) because the innermost Δ14C value in this specimen could reflect either rising
or declining bomb Δ14C values. Based on growth rates and comparisons with the other corals,
Table 5. Δ14C and 210Pbex values for radiocarbon and lead-210 dating, respectively, and resulting ages from each dating method for specimens WPA 002, WPA 004,
and WPB 005. The banding frequency and growth rate for each specimen was calculated from the radiocarbon ages. The brackets around the 210Pbex values represent the
possible range of bands associated with this measurement.
Sample ID &
sub-section
Sub-annual
dissected band
count
Δ14C (‰)
Age from
radiocarbon (years)
Frequency (growth
band year-1)
Radial growth
rate (mm yr-1)
Vertical growth
rate (cm yr-1)
210Pbex
(dpm/g)
Age from
210Pb (years)
WPA 002
(Outer) 1
2
(Center) 3
(Center)� 3
WPA 004
(Outer) 1
2
3
4
5
6
7
(Center) 8
WPB 005
(Outer) 1
2
3
4
5
(Center) 6
6.5 ± 2
241 ± 56
477 ± 64
477 ± 64
13.5 ± 2
534 ± 38
712 ± 47
869 ± 19
1070 ± 81
1210 ± 6
1332 ± 33
1589 ± 124
23 ± 10
265 ± 52
348 ± 11
416 ± 28
534 ± 106
790 ± 93
-5.8 ± 2.0
31.5 ± 1.5
43.6 ± 1.7
43.6 ± 1.7
-12.2 ± 1.8
68.1 ± 1.6
80.0 ± 2.2
89.4 ± 2.0
75.3 ± 1.8
-22.5 ± 1.9
-56.1 ± 1.8
-93.7 ± 1.3
5.2 ± 1.8
87.2 ± 1.6
27.5 ± 1.9
-58.3 ± 1.7
-91.0 ± 1.4
-93.5 ± 1.6
0
38.2 ± 0.6
41.5 ± 0.1
49.1 ± 0.4
0
50.0 ± 0.3
47.7 ± 0.3
47.0
48.1 ± 0.1
51.7 ± 1.0
53.8 ± 0.2
65.7 ± 1.0
0 ± 0.7
19.5
22.4 ± 0.1
26.6 ± 0.2
35.4 ± 1.4
38.1 ± 1.3
0
6.1
16.1
53.6
0
11.6
81.5
203.5
177.1
39.5
56.4
17.5
0
12.4
29.3
16.1
13.3
83.6
—
—
0.26
0.307
—
—
—
—
—
—
—
0.404
—
—
—
—
—
0.644
—
—
3.49
4.12
—
—
—
—
—
—
—
3.4
—
—
—
—
—
4.2
2.52 ± 0.96
5.46 ± 1.28
2.82 ± 1.38
1.51 ± 0.73
—
—
—
0
0.90 ± 1.76
16.5
0.24 ± 0.69
59.7
3.57 ± 0.96
3.54 ± 1.28
0
0.3
1.58 ± 1.23
26.2
�WPA 002 center Δ14C value yielded two ages depending if the sample was placed on the rise or the decline of the bomb carbon.
https://doi.org/10.1371/journal.pone.0241692.t005
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PLOS ONEPrimnoidae age models
we estimate that the older value is more likely accurate and estimate the 14C-derived coral age
as 42 ± 0.1 years old.
210Pbex values ranged from 0.24 ± 0.69 to 3.57 ± 0.96 dpm/g (desentigrations per minute /
gram) and decreased as expected from the outside of the colony toward the inside for corals
WPA 004 and WPB 005 (Table 5; S2 Fig in S1 File). Eq (2) calculated the age of WPA 004 to
between 28.4 and 59.7 and WPB 005 to be 26.2 (+ 38.4/– 10.9) years old. 210Pb dating for sam-
ple WPA 002 was inconclusive because 210Pbex activity increased from the outside of the coral
toward the inside (Table 5; S2 Fig in S1 File).
Age estimation validation
In previously collected and aged corals (Table 2; corals from Aranha et al., 2104 [34] and Wil-
liams et al., 2007 [35]), we find that the calculated ages using Eq (6) were similar in magnitude
but underestimated age (on average ~ 10 years) relative to the reported ages (Fig 4).
Thus, we revised the age estimate equation to include the corals with reported basal diame-
ters from the Aranha et al. (2014) [34] and Williams et al. (2007) [35] for corals < century old:
Age �8ð
Þ ¼ e
Basal Diameterþ41:9
20:5
ð7Þ
that is inclusive of corals from the northeast Pacific Ocean (Fig 5; N = 21). Using this new
regional equation, the average difference between age estimation from annual band counts or
210Pb dating versus basal diameter declined to only three years (Fig 6).
We evaluated Eq (7) by calculating age in ten P. pacifica colonies collected from the Sea of
Japan [39]. We find that the age estimated from basal diameter underestimated age compared
to the annual band counts by an average of seven years, although this was largely driven by
older corals with wider diameters (Fig 7). In coral IDs 1 through 7, the basal diameter underes-
timated age by three years.
Discussion
The results of this analysis indicate a strong correlation between age and size (height, width,
and basal diameter) of Primnoa pacifica (Table 2; Fig 3), and thus provide support for develop-
ment of non-destructive techniques to estimate the age of younger (< century) specimens in
situ. In this species of gorgonian coral, the growth rates declined logarithmically with age such
Fig 4. Age estimations based on basal diameter (light grey bar) compared to age (annual bands; black line) of
Primnoa pacifica <100 years old from previous studies (Aranha et. al. 2014 [34]; Williams et al. 2007 [35]). Age
estimations were calculated using Eq 6 which translates basal diameter into a calculated age. Error bars show standard
deviation. �Age based on lead-210 dating not annual growth bands.
https://doi.org/10.1371/journal.pone.0241692.g004
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PLOS ONEPrimnoidae age models
Fig 5. Basal diameter of Primnoa pacifica corals from this study (white circles), Aranha et al., 2014 [34] (black
circles), and Williams et al., 2007 [35] (grey circles) decrease logarithmically with age (Eq (7), r2 = 0.66, p<0.001,
N = 21). Corals over a century in age were excluded from this analysis.
https://doi.org/10.1371/journal.pone.0241692.g005
that younger corals grew faster than older corals. This is consistent with other species of gorgo-
nians [32, 40, 41].
Radial growth rates were similar to those reported in previous studies, albeit on the higher
end of the reported ranges (Table 3). Axial growth rates were higher than previously reported
for two colonies, both of which were older than a century (Table 3). Thus, there is significant
variability in radial and axial growth rates, depending the age of the coral. The faster growth
rates reported here likely reflect the younger age of the corals. Because growth logarithmically
declines with age (Fig 3), eventually reaching a plateau–the age estimate techniques developed
here are less useful for older corals and may underestimate the age of very old corals.
Fig 6. Age estimations based on basal diameter (grey bar) compared to age (annual growth bands; black line) for
21 Primnoa pacifica colonies <100 years old from three studies (This study; Aranha et al. 2014 [34]; Williams
et al. 2007[35]). Age estimations were calculated using Eq (7). Colonies are ordered from left to right based on
increasing basal diameter measurements; diamond markers indicate a basal diameter of 39 mm or more. �Age based
on lead-210 dating not annual growth bands.
https://doi.org/10.1371/journal.pone.0241692.g006
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PLOS ONEPrimnoidae age models
Fig 7. Age estimations based on basal diameter (grey bar) compared to age (annual growth bands; black line) for
ten (n = 10) Primnoa pacifica colonies collected from the Sea of Japan [39]. Age estimations were calculated using
Eq (7). Colonies are ordered from left to right based on increasing basal diameter measurements.
https://doi.org/10.1371/journal.pone.0241692.g007
Age estimation validation
Age estimated from basal diameter largely agreed with age from annual band counts in a suite
of corals from the northeast Pacific (Fig 6). Discrepancies between the age estimation and
annual band counts was the greatest for the oldest specimens with the largest diameters. We
hypothesize that smaller corals represent colonies with minimal branching and symmetric
radii. In contrast, the larger diameter colonies have more asymmetric basal growth (in which
the basal diameter may not reflect 2 x radius) and often with many branches (e.g., specimen
WPB 005, Fig 2). Thus Eq 7 is most effective for colonies with basal diameter < 39 mm to pro-
vide approximate age estimates for P. pacifica corals in the North Pacific Ocean.
When the northeast Pacific regional age estimation (Eq 7) was applied to corals from the
western Pacific Ocean, basal diameter underestimated age in the oldest colonies. These colo-
nies were, on average, collected from colder, deeper waters (350–505 m; 0.6–0.7˚C) and exhib-
ited slower radial growth rates (0.1–0.19 mm year-1) than those from the northeast Pacific
Ocean [39]. Thus, growth rates may plateau earlier in these corals than in the northeast Pacific
Ocean.
Some coral colonies in this study were collected remotely with fishing techniques, which
tends to result in fragments, or portions, of a full colony, such that accurate height and width
measurements are unavailable, so in-situ age estimations were not possible based on these
properties. However, the equations can also be retroactively applied to previous studies that
collected morphological data via video analysis but that did not collect corals for age analyses.
A Stone (2014) [3] study used video with scaling lasers to categorize red tree corals into four
size (height) categories: <0.5 m (small), 0.5–1 m (medium), 1–2 m (large), and >2 m (very
large). The height categories can be transformed into the following approximate age ranges
using Eq (4): 0–9 years, 9–18 years, 18–71 years, and 71+ years. Equs (4), (5) and (7) provide
approximate age estimations for corals based solely on morphological data derived from in
situ observations. The age estimates are most accurate for the smaller, younger corals
(< century) because of the plateau in growth with age. Using this technique, it is possible to
identify the locations of gorgonian thickets where recruitment is particularly high (many
younger colonies), or colonies may serve as a source of the recruits (many larger colonies), and
to locate climax communities where all age classes are well represented.
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PLOS ONEPrimnoidae age models
Insights into coral dating
Three techniques determined the ages of a subset of the collected corals: annual growth bands
were counted in 11 corals, and 14C and 210Pb dating techniques were performed on three cor-
als. In some cases, results were ambiguous. In P. pacifica, growth bands form annually but are
sometimes difficult to distinguish. Furthermore, radial growth does not always form concen-
trically, meaning one direction of the coral can form more growth bands than other directions
(Fig 2). Thus, most researchers count along the axes of maximum growth yielding the highest
number of growth bands. In P. pacifica, annual growth bands form as clumps of gorgonin
bands with some contributions of calcite. Older P. pacifica corals form significant calcite build-
ups that mask growth bands; consequently, radiometric estimates of coral age typically exceed
those of ages derived from growth bands for older corals [34].
The modern use of radiocarbon dating relies on the identification of the 14C bomb curve
signature from thermonuclear bomb detonations in the 1950-60s. In the three corals analyzed
for 14C content, identification of bomb-derived carbon provided age constraints on the timing
of skeletal growth. The coral sample sizes analyzed for 14C typically included multiple years of
growth, smoothing any seasonal variability in ocean 14C so that the coral 14C values should
align with the regional 14C bomb curves. However, exact placement on that curve is subject to
uncertainty, which is compounded by the analytical uncertainty of the 14C measurement.
There are two instances in this study where these uncertainties impact age estimates. In WPA
002, the earliest 14C value measured from the core could either fall on the rising or declining
limb of the bomb carbon curve (S1 Fig in S1 File). We assign it to the rise of the curve because
otherwise radial growth rates are unreasonably high for the earliest part of this coral’s growth.
In WPB 005, the coral was collected with no living tissue at the base of the specimen; thus, the
outer layers of the skeleton were likely not formed immediately prior to collection. The 14C
value for the outer layers is higher than the outer layers of the live collected WPA 002 and
WPA 004, indicating it died some time prior to collection. However, because the slope of the
decline of the 14C bomb curve flattens toward recent time, the placement of this sample on the
curve has large uncertainty with time. Aligning the point exactly on the regional bomb curve
gives an age of 38 years for the coral, which yields potentially unrealistically high growth rates.
In this colony, annual band counts suggest a much older coral, with a death of only a few years
prior to collection. As a result, the strength of 14C dating is most evident for specimens with
known collection date, and with an age range that encompass the full bomb curve (extending
prior to the mid-1950s).
The 210Pb dating technique provides only rough age estimates. For example, 210Pb of a P.
pacifica colony yielded an age range of 78 to 193 years with 95% confidence [26]. 210Pb dating
can also yield inconclusive results, potentially in corals that are collected dead, although a
mechanism of why is unknown [26]. Here, 210Pb yields an age for the dead colony WPB 005,
albeit this age may be unrealistically young when viewed in the context of specimen size. In
contrast, 210Pb yielded inconclusive results for the small live-collected coral WPA 002. Due to
the large uncertainty around 210Pb, we propose that 14C and growth band counting are pre-
ferred methods for determining coral age in this species.
Sub-annual growth bands
We closely examined the sub-annual banding using two techniques: growth bands counted
through physical dissection of a cross-section and those visible in photographs of polished
cross-sections. The number of dissected growth bands counted was in most cases much greater
than the number counted in photographs, although the opposite was true for specimen WPB
004 (Table 4). The skeletal bands were difficult to count, which likely contributed to some of
PLOS ONE | https://doi.org/10.1371/journal.pone.0241692 December 1, 2020
14 / 18
PLOS ONEPrimnoidae age models
the variation within each counting method–particularly with the photographed bands. Fused
growth bands could, in some cases, be carefully peeled apart and counted, although more com-
monly a peeled fused section included numerous bands that could not be separated. These
bands were likely not individually visible in the photographed sections; thus, they were not
included in the photographed band counts.
We compared the number of sub-annual bands with the age of each coral to determine
banding frequency. Overall, photographed bands average 14 ± 0.80 sub-annual bands year-1 and
dissected bands average 18 ± 5.2 sub-annual bands year-1. We did not count the number of sub-
annual bands per year directly because the annual groupings of sub-annual bands were not visible
when physically dissecting the cross-sections nor at the lower magnification needed to count the
annual bands in the photographs. However, when compared to ages derived from 14C-dating, the
sub-annual banding frequency ranged from 200 bands year-1 to less than 15 bands year-1 for spec-
imen WPA 004, 80 bands year-1 to less than 15 bands year-1 for specimen WPB 005, and over 15
bands year-1 to less than 10 bands year-1 for specimen WPA 002 (Table 5). Thus, the banding fre-
quency can be highly variable through time. Spring tides (26 per year) have been proposed as a
primary driver of sub-annual banding due to the influx of sedimentary organic layer [9]. How-
ever, the variability in frequency and the number of bands per year is not consistent with only
spring tides. We instead hypothesize that high seasonal and interannual variability of primary pro-
ductivity [42] and/or energy allocation to reproduction [43, 44] combined with spring tides can
influence the variable banding and growth pattern. Additional collections of colonies spanning
the size range of the species coupled with time series in situ measurements of primary productiv-
ity, specifically flux (POC or particulate organic carbon) delivery to the seafloor, and studies on
reproductive seasonality of P. pacifica in the eastern Gulf of Alaska could elucidate the relationship
between these factors and the sub-annual skeletal development.
Growth rates
Reported radial growth rates of Primnoa pacifica range from 0.14 to 0.74 mm year-1 (Table 3),
with the corals in this study on the higher end of that range 0.33 to 0.74 mm year-1, compared
with 0.22 to 0.57 mm year-1 (Aranha et al., 2014 [34]), 0.36 mm year-1 (Andrews et al., 2002
[26]), and 0.14 to 0.37 mm year-1 (Williams et al., 2007 [35]). Expanding the age–growth com-
parisons to include all of these studies shows that radial growth rates are lower in older speci-
mens (linear regression; p = 0.004, r2 = 0.35, N = 22). The decrease in radial growth rates
overtime is also observed in North Atlantic Primnoa resedaeformis, a slower growing congener
of P. pacifica [9, 32, 41]. Additionally, reported radial growth rates of P. resedaeformis (0.083 to
0.215 mm year-1) varied based on colony location; colonies in areas with a stronger tidal cur-
rent exhibited faster radial growth than colonies in areas of weaker current [32]. There was no
statistical difference between location and radial growth rates of the P. pacifica included in this
study (one-way ANOVA; F4,17 = 1.15, p>0.05).
Axial growth rates ranged from 2.41 to 6.39 cm year-1 (Table 3). This is substantially faster
than previously reported axial growth rates of 1.74 and 2.32 cm year-1 (Andrews et al., 2002
[26]). This difference is easily explained by the decline in growth rates with age, and that the
specimens measured by Andrews et al. (2002) [26] were substantially older than those in the
present study (age of 114 years is reported for the specimen growing 1.74 cm year-1, with no
age for the second colony). Age continues to have a strong, significant explanation of axial
growth rates when we add this one specimen with both age and axial growth rates to our age–
growth comparisons (linear regression; p<0.0001, r2 = 0.80, N = 12). A similar decrease in
axial growth rates with age was reported in North Atlantic P. resedaeformis, where it was pro-
posed that young corals (<30 years) grew four times as fast as older corals (>30 years) [41].
PLOS ONE | https://doi.org/10.1371/journal.pone.0241692 December 1, 2020
15 / 18
PLOS ONEPrimnoidae age models
Axial growth rates in these P. resedaeformis studies ranged from 1.00 to 2.61 cm year-1 (coral
ages ranged from 18 years to 100 years) and were on the lower end compared to P. pacifica in
this study [32, 41].
Implications for coral conservation
With the ability to now estimate the age of red tree corals in situ we can readily determine how
old corals are using non-invasive video survey techniques coupled with mensuration systems
such as lasers or stereo-cameras [4, 6]. Such enhanced surveys could quickly determine the
age-class structure and consequently maturity status of coral habitats. This information could
be used by coastal managers to identify which aggregations are most vulnerable to disturbance
from human activities, and which should be highlighted for protection. If age and growth char-
acteristics are phylogenetically constrained, as has been suggested for some taxa [40], then the
techniques developed and insights gained in this study could have broader application in the
North Atlantic Ocean where another Primnoa species (e. g. P. resedaeformis; [13, 45]) also
forms ecologically important habitats.
Supporting information
S1 File.
(PDF)
Acknowledgments
We thank Ocean Science Services and the captain and crew of the FV Alaska Provider (2013) and
Pelagic Research Services and the captain and crew of the RV Dorado Discovery (2015) for their
support. Many thanks to Enrique Salgado and Robert McGuinn for assistance with specimen col-
lection and field preparation. The findings and conclusions in this report are those of the author
(s) and do not necessarily represent the views of the National Marine Fisheries Service (NOAA).
The work was performed under the authority of the U.S. Department of Commerce.
Author Contributions
Conceptualization: Branwen Williams, Peter Etnoyer.
Data curation: Emma Choy, Kelly Watanabe, Robert Stone, Thomas Lorenson, Mary Knaak.
Formal analysis: Emma Choy, Kelly Watanabe, Ellen Druffel, Mary Knaak.
Funding acquisition: Branwen Williams, Peter Etnoyer.
Methodology: Branwen Williams.
Project administration: Branwen Williams.
Supervision: Robert Stone.
Writing – original draft: Emma Choy, Kelly Watanabe, Branwen Williams, Robert Stone.
Writing – review & editing: Emma Choy, Kelly Watanabe, Branwen Williams, Robert Stone,
Ellen Druffel.
References
1. Althaus F., Williams A., Schlacher T.A., Kloser R.J., Green M.A., Barker B.A., et al. 2009. Impacts of
bottom trawling on deep-coral ecosystems of seamounts are long-lasting. Marine Ecology Progress
Series 397, 279–294.
PLOS ONE | https://doi.org/10.1371/journal.pone.0241692 December 1, 2020
16 / 18
PLOS ONEPrimnoidae age models
2. Davies A.J., Roberts J.M. and Hall-Spencer J. 2007. Preserving Deep-Sea Natural Heritage: Emerging
Issues in Offshore Conservation and Management. Biological Conservation 138, 299–312.
3. Stone R., 2014. The ecology of deep-sea coral and sponge habitats of the Aleutian Islands of Alaska.
NOAA Profissional Paper NMFS 16, 52 pp, https://doi.org/10.7755/PP.7719
4. Stone R., Masuda M., Karinen J., 2014. Assessing the ecological importance of red tree coral thickets
in the eastern Gulf of Alaska. ICES Journal of Marine Sciences, https://doi.org/10.1093/icesjms/
fsu1190
5. Clark M.R., Althaus F., Schlacher T., Williams A., Bowden D.A., and Rowden A.A. 2016. The Impacts of
Deep-Sea Fisheries on Benthic Communities: A Review. ICES Journal of Marine Science 73, 51–69.
6. Etnoyer P., Wagner D., Fowle H., Poti M., Kinlan B., Georgian S., et al. 2018. Models of habitat suitabil-
ity, size, and age-class structure for the deep-sea black coral Leiopathes glaberrima in the Gulf of
Mexico. Deep Sea Research Part II: Topical Studies in Oceanography 150, 218–228.
7. Krieger K., Wing B., 2002. Megafaunal associations with deepwater corals (Primnoa sp.) in the Gulf of
Alaska. Hydrobiologia 471, 83–90.
8. Morgan L., Etnoyer P., Scholz A., Mertens M., Powell M., 2005. Conservation and management impli-
cations of deep-sea coral and fishing effort distributions in the Northeast Pacific Ocean. Cold-Water
Corals and Ecosystems, 1171–1187.
9. Risk M., Heikoop J., Snow M., Beukens R., 2002. Lifespans and growth patterns of two deep-sea cor-
als: Primnoa resedaeformis and Desmophyllum cristigalli. Hydrobiologia 471, 125–131.
10. Hapsari K.A., Biagioni S.A., Jennerjahn T.C., Reimer P., Saad A., Sabiham S., et al. 2018. Resilience of
a Peatland in Central Sumatra, Indonesia to Past Anthropogenic Disturbance: Improving Conservation
and Restoration Designs Using Palaeoecology. Journal of Ecology 106, 2473–2490.
11.
Lovich J.E., and Bainbridge D., 1999. Anthropogenic Degradation of the Southern California Desert
Ecosystem and Prospects for Natural Recovery and Restoration. Environmental Management 24,
309–326. https://doi.org/10.1007/s002679900235 PMID: 10486042
12. Du Preez C.D., and Tunnicliffe V., 2011. Shortspine thornyhead and rockfish (Scorpaenidae) distribu-
tion in response to substratum, biogenic structures and trawling. Marine Ecology Progress Series 425,
217–231.
13. Risk M., McAllister D., Behnken L., 1998. Conservation of cold- and warm-water seafans: threatened
ancient gorgonian groves. Sea Wind 12, 2–21.
14. Roberts S., Hirshfield M., 2004. Deep-sea corals: out of sight but no longer out of mind. Frontiers in
Ecology and the Environment 2, 123–130.
15. Stone RP, Shotwell SK (2007) State of the deep coral ecosystems of the Alaska Region: Gulf of Alaska,
Bering Sea, and the Aleutian Islands. In: Lumsden SE, Hourigan TF, Bruckner AW, Dorr G, editors. The
State of Deep Coral Ecosystems of the United States, pp. 65–108. United States Department of Com-
merce, NOAA Technical Memorandum CRCP-3. Silver Spring, MD.
16. Verdura J., Linares C., Ballesteros E., Coma R., Uriz M.J., Bensoussan N., et al. 2019. Biodiversity loss
in a Mediterranean ecosystem due to an extreme warming event unveils the role of an engineering gor-
gonian species. Scientific Reports 9, 5911. https://doi.org/10.1038/s41598-019-41929-0 PMID:
30976028
17. Gugliotti E.F., DeLorenzo M.E., Etnoyer P.J., 2019. Depth-dependent temperature variability in the
Southern California bight with implications for the cold-water gorgonian octocoral Adelogorgia phyllo-
sclera. Journal of Experimental Marine Biology and Ecology 514– 515, 118–126.
18. DeLeo D., Ruiz-Ramos D., Baums I., Cordes E., 2016. Response of deep-water corals to oil and chemi-
cal dispersant exposure. Deep Sea Research Part II: Topical Studies in Oceanography 129, 137–147.
19.
Frometa J., DeLorenzo M., Pisarski E., Etnoyer P., 2017. Toxicity of oil and dispersant on the deep
water gorgonian octocoral Swiftia exserta, with implications for the effects of the Deepwater Horizon oil
spill. Marine Pollution Bulletin 122, 91–99. https://doi.org/10.1016/j.marpolbul.2017.06.009 PMID:
28666594
20. Kinoshita K., 1907. Vorlaufige Mitteilung uber einige neue japanische Primnoidkorallen. Annotationes
zoologicae Japonenses 6, 229–237.
21. Rossin A.H., Waller R.G., Stone R.P. 2019. The effects of in-vitro pH decrease on the gametogenesis
of the red tree coral, Primnoa pacifica. PLoS ONE 14, e0203976. https://doi.org/10.1371/journal.pone.
0203976 PMID: 30998686
22. Griffin S., & Druffel E. (1989). Sources of Carbon to Deep-Sea Corals. Radiocarbon, 31(3), 533–543.
23. Roark E. B., Guilderson T. P., Flood-Page S., Dunbar R. B., Ingram B. L., Fallon S. J., et al. (2005),
Radiocarbon-based ages and growth rates of bamboo corals from the Gulf of Alaska, Geophys. Res.
Lett., 32, L04606, https://doi.org/10.1029/2004GL021919
PLOS ONE | https://doi.org/10.1371/journal.pone.0241692 December 1, 2020
17 / 18
PLOS ONEPrimnoidae age models
24. Sherwood OA., Scott DB., Risk MJ., Guilderson, TP. (2005) Radiocarbon evidence for annual growth
rings in the deep-sea octocoral Primnoa resedaeformis. Marine Ecology Progress Series. 301:129–
134.
25. Rooper C., Stone R., Etnoyer P., Conrath C., Reynolds J., Greene H.G., et al. 2017. Deep-Sea Coral
Research and Technology Program: Alaska Deep-Sea Coral and Sponge Initiative Final Report.
NOAA Tech. Memo. NMFS-OHC-2, 65 p.
26. Andrews A., Cordes E., Mahoney M., Munk K., Coale K., Cailliet G., et al. 2002. Age, growth and radio-
metric age validation of a deep-sea, habitat-forming gorgonian (Primnoa resedaeformis) from the Gulf
of Alaska, in: Watling L., Risk M. (Eds.), Hydrobiologia. Kluwer Academic Publishers, Netherlands.
27. Grigg R., 1974. Growth rings: Annual periodicity in two gorgonian corals. Ecology 55, 876–888.
28. Mistri M., Ceccherelli V., 1994. Growth and secondary production of the Mediterranean gorgonian Para-
muricea clavata. Marine Ecology Progress Series 103, 291–296.
29. Mitchell N., Dardeau M., Schroeder W., 1993. Colony morphology, age structure, and relative growth of
two gorgonian corals, Leptogorgia hebes (Verrill) and Leptogorgia virgulata (Lamarck), from the north-
erm Gulf of Mexico. Coral Reefs 12, 65–70.
30. Goldberg W., 1974. Evidence of a sclerotized collagen from the skeleton of a gorgonian coral. Compar-
ative Biochemistry and Physiology Part B: Comparative Biochemistry 49, 525–526. https://doi.org/10.
1016/0305-0491(74)90188-6 PMID: 4154179
31. Szmant-Froelich A., 1974. Structure, iodination and growth of the axial skeletons of Muricea californica
and M. fruticosa (Coelenterata: Gorgonacea). Marine Biology 27, 299–306.
32. Sherwood OA, and Edinger E. (2009) Ages and Growth Rates of Some Deep-Sea Gorgonian and Anti-
patharian Corals of Newfoundland and Labrador, Canadian Journal of Fisheries and Aquatic Sciences,
2009, 66(1): 142–152.
33. Noe´ S.U., Lembke-Jene L. & Dullo W. (2008) Varying growth rates in bamboo corals: sclerochronology
and radiocarbon dating of a mid-Holocene deep-water gorgonian skeleton (Keratoisis sp.: Octocorallia)
from Chatham Rise (New Zealand). Facies 54, 151–166 (2008).
34. Aranha R., Edinger E., Layne G., Piercey G., 2014. Growth rate variation and potential paleoceano-
graphic proxies in Primnoa pacifica: Insights from high-resolution trace element microanalysis. Deep-
Sea Research II 99, 213–226.
35. Williams B., Risk M., Stone R., Sinclair D., Ghaleb B., 2007. Oceanographic changes in the North
Pacific Ocean over the past century recorded in deep-water gorgonian corals. Marine Ecology Progress
Series 335, 85–94.
36. Stuiver M. and Polach H.A. (1977) Discussion Reporting of 14C Data. Radiocarbon. 19:355–363.
37. Andrews A., Leaf R., Rogers-Bennett L., Neuman M., Hawk H., Cailliet G. 2013. Bomb radiocarbon dat-
ing of the endangered white abalone (Haliotis sorenseni): investigations of age, growth and lifespan.
Marine and Freshwater Research 64, 1029–1039.
38. Kerr L.A., Andrews A.H., Frantz B.R., Coale K.H., Brown T.A., and Cailliet G.M. 2004. Radiocarbon in
otoliths of yelloweye rockfish (Sebastes ruberrimus): a reference time series for the coastal waters of
southeast Alaska. Canadian Journal of Fisheries and Aquatic Sciences 61, 443–451.
39. Matsumoto A., 2007. Effects of low water temperature on growth and magnesium carbonate concentra-
tions in the cold-water gorgonian Primnoa pacifica. Bulletin of Marine Science 81: 423–435.
40. Stone R., Malecha P., Masuda M., 2017. A Five-Year, In Situ Growth Study on Shallow-Water Popula-
tions of the Gorgonian Octocoral Calcigorgia spiculifera in the Gulf of Alaska. PLos ONE 12, e0169470.
https://doi.org/10.1371/journal.pone.0169470 PMID: 28068374
41. Mortensen P.B. and Buhl-Mortensen L. 2005. Morphology and growth of the deep-water gorgonians
Primnoa resedaeformis and Paragorgia arborea. Marine Biology. 147: 775–788.
42. Balcom B., Biggs D., Hu C., Montaga P., Stockwell D., 2011. A comparison of marine productivity
among Outer Continental Shelf planning areas, in: Prepared by CSA International Inc. for the U. S.
Dept. of the Interior, Bureau of Ocean Energy Management, Regulation and Enforcement (Eds.), Hern-
don, VA., OCS Study BOEMRE 2011– 019, 195 pp.
43. Waller R.W., Stone R.P., Johnstone J., Mondragon J., 2014. Sexual reproduction and seasonality of
the Alaskan red tree coral, Primnoa pacifica. PLos ONE 9, e90893. 908 https://doi.org/10.1371/journal.
pone.0090893 PMID: 24770675
44. Waller R.W., Stone R. P., Rice L.N., Johnstone J., Rossin A.M., Hartill E., et al. 2019. Phenotypic plas-
ticity or a reproductive dead end? Primnoa pacifica (Cnidaria: Alcyonacea) in the southeastern Alaska
region. Frontiers in Marine Science 6, https://doi.org/103389/fmars.2019.00709
45. Auster P.J., Kilgour M., Packer D., Waller R., Auscavitch S. Watling L. 2013. Octocoral gardens in the
Gulf of Maine (NW Atlantic). Biodiversity 14, 193–194.
PLOS ONE | https://doi.org/10.1371/journal.pone.0241692 December 1, 2020
18 / 18
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Article
Molecular Crowding Facilitates Ribozyme-Catalyzed RNA Assembly
Saurja DasGupta,* Stephanie Zhang, and Jack W. Szostak*
Cite This: ACS Cent. Sci. 2023, 9, 1670−1678
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*sı Supporting Information
ABSTRACT: Catalytic RNAs or ribozymes are considered to be
central to primordial biology. Most ribozymes require moderate to
high concentrations of divalent cations such as Mg2+ to fold into
their catalytically competent structures and perform catalysis.
However, undesirable effects of Mg2+ such as hydrolysis of reactive
RNA building blocks and degradation of RNA structures are likely
to undermine its beneficial roles in ribozyme catalysis. Further,
prebiotic cell-like compartments bounded by fatty acid membranes
are destabilized in the presence of Mg2+, making ribozyme function
inside prebiotically relevant protocells a significant challenge.
Therefore, we sought to identify conditions that would enable
ribozymes to retain activity at low concentrations of Mg2+. Inspired by the ability of ribozymes to function inside crowded cellular
environments with <1 mM free Mg2+, we tested molecular crowding as a potential mechanism to lower the Mg2+ concentration
required for ribozyme-catalyzed RNA assembly. Here, we show that the ribozyme-catalyzed ligation of phosphorimidazolide RNA
substrates is significantly enhanced in the presence of the artificial crowding agent polyethylene glycol. We also found that molecular
crowding preserves ligase activity under denaturing conditions such as alkaline pH and the presence of urea. Additionally, we show
that crowding-induced stimulation of RNA-catalyzed RNA assembly is not limited to phosphorimidazolide ligation but extends to
the RNA-catalyzed polymerization of nucleoside triphosphates. RNA-catalyzed RNA ligation is also stimulated by the presence of
prebiotically relevant small molecules such as ethylene glycol, ribose, and amino acids, consistent with a role for molecular crowding
in primordial ribozyme function and more generally in the emergence of RNA-based cellular life.
■ INTRODUCTION
The catalytic repertoire of RNA lies at the foundation of the
RNA world hypothesis, which posits that early life used RNA
as both the genetic material and enzymes (ribozymes).1 The
ability of single-stranded RNA molecules to assume a wide
range of folded structures endows them with functions such as
molecular recognition and catalysis, suggesting that folded
RNA structures would have been essential to early life. RNA
assembly processes (ligation and polymerization) that generate
complex folded RNA structures were therefore likely to have
played an important role in the propagation and evolution of
the earliest living cells. Ribozymes usually require divalent
cations like Mg2+ to access their functional folds and perform
catalysis. Mg2+ facilitates RNA folding by partially neutralizing
the negatively charged RNA backbone and often participates in
catalytic interactions within the ribozyme active site.2−4
to RNA function, Mg2+ can also be
Although essential
detrimental. Mg2+ catalyzes RNA backbone hydrolysis, thereby
disrupting functional
the
structures.
hydrolysis of intrinsically reactive RNA building blocks such
as phosphorimidazolides that would have been important for
primordial RNA assembly.5−7 Additionally, Mg2+ is generally
detrimental to the integrity of prebiotic cell-like compartments
bounded by fatty acids, which are commonly used models of
primordial cell membranes. This incompatibility between
It also accelerates
ribozyme function and the stability of protocell membranes
poses a significant challenge for efficient RNA catalysis within
fatty acid protocells.5
RNA assembly would have driven primordial genetics and
generated the catalytic diversity required to sustain RNA-based
primordial life; therefore, ribozymes that catalyze RNA ligation
or polymerization were crucial to primordial biology. Such
ribozymes have been identified through in vitro evolution.5
Ligase and polymerase ribozymes that use 5′-triphosphorylated
oligoribonucleotides and nucleoside triphosphates as sub-
respectively, exhibit high Mg2+ requirements. For
strates,
example, the Mg2+ concentration at which the half-maximum
ligation rate was achieved, [Mg2+]1/2, of the first of its kind,
class I ligase is 70−100 mM,8 and polymerase ribozymes
derived from the class I ligase have an optimal [Mg2+] of ∼200
mM.9,10 We previously reported ribozymes that catalyze the
ligation of RNA oligomers 5′ activated with a prebiotically
plausible, 2-aminoimidazole (2AI) moiety. 2AI-activated RNA
Received: May 1, 2023
Published: August 3, 2023
© 2023 The Authors. Published by
American Chemical Society
1670
https://doi.org/10.1021/acscentsci.3c00547
ACS Cent. Sci. 2023, 9, 1670−1678
ACS Central Science
http://pubs.acs.org/journal/acscii
Article
Figure 1. Stimulation of ribozyme activity of ligase 1 at 1−2 mM Mg2+ in the presence of ethylene glycol and PEGs. (A) Schematic of ribozyme-
catalyzed ligation of a 2-aminoimidazole-activated RNA substrate. (B) Catalytic ligation is undetectable at 1 mM Mg2+ in a solution without any
crowder but is rescued in crowded solutions. (C) Ligation yields after 3 h in the absence and presence of crowding agents at the indicated
concentrations. (D) Ligation rates in the absence and presence of crowding agents. Ligation reactions contained 1 μM ribozyme, 1.2 μM RNA
template, and 2 μM 2-AI-activated RNA substrate in 100 mM Tris-HCl pH 8.0 and the indicated concentrations of MgCl2. Reactions contained
additives (EG, PEG 200−8000) as indicated. None indicates the absence of crowders.
monomers/oligomers are useful substrates for nonenzymatic
RNA assembly; therefore, these “2AI-ligase” ribozymes provide
continuity between chemical and enzymatic RNA ligation.6
low Mg2+
Most of
these 2AI-ligases were inefficient at
concentrations (<4 mM); however, we identified a single
ligase sequence that had a significantly lower Mg2+ requirement
([Mg2+]1/2 ≈ 0.9 mM).11 Although ribozymes with reduced
Mg2+ requirements clearly exist, they are apparently relatively
uncommon in the RNA sequence space. We have therefore
searched for a more general solution that would have enabled
ribozymes to operate in low-Mg2+ environments such as
freshwater ponds or within protocells bounded by prebiotic
fatty acids.12 Mechanisms that stimulate ribozyme activity at
low [Mg2+] would lower the evolutionary threshold for the
emergence of such molecules in the RNA world.
Although ribozymes usually require moderate to high Mg2+
concentrations
to function in vitro, naturally occurring
ribozymes have evolved to function in the presence of 0.5−1
mM free Mg2+ within cellular environments.13 This lower Mg2+
requirement is thought to be a consequence of the crowded
cellular environment. In addition to cellular structures like
organelles, the intracellular milieu is crowded with molecules
that range from biopolymers like nucleic acids and proteins to
smaller molecules including amino acids, nucleotides, sugars,
amines, and alcohols, which collectively occupy up to 30% of
the cellular volume.13,14 The presence of these molecules
introduces a variety of physical and chemical forces that alter
the properties of cellular RNAs.15−17 Volume excluded by
macromolecules decreases the conformational entropy of
unfolded RNA (an effect commonly referred to as “macro-
molecular crowding”) and consequently promotes RNA
folding and RNA function. Unfavorable interactions between
the solvent-exposed RNA backbone and low-MW species in
the cellular milieu also induce folding to minimize these
interactions. A decrease in dielectric constant may favor RNA−
Mg2+ association due to the diminished solvation of free Mg2+,
which can stimulate RNA folding and catalysis. A decrease in
water activity caused by cosolutes may favor the formation of
RNA folds with reduced solvent-exposed surface area that is
accompanied by water release.
Investigations into RNA structure and function in solutions
artificially crowded with cosolutes like polyethylene glycol
(PEG) have revealed favorable effects of crowding on RNA
function.17 Biophysical
studies using small-angle X-ray
scattering (SAXS) and single-molecule Förster
resonance
energy transfer (smFRET) demonstrated that molecular
crowding induces RNA folding. This effect is most pronounced
in the low-Mg2+ regime, where folded structures are not usually
predominant.18−20 Enhanced folding in crowded solutions is
often reflected in modest to significant increases in catalytic
rates.17 Ribozymes in the RNA world may have evolved in
similarly crowded environments within either primitive cellular
compartments or confined microspaces on the Earth’s surface,
which may have allowed them to function at
low
concentrations of Mg2+.17,21
Here, we demonstrate the beneficial effects of molecular
crowding on ribozyme-catalyzed RNA assembly, which
includes the stimulation of ribozyme ligase activity at low
millimolar concentrations of Mg2+ and the preservation of
ribozyme activity under harsh reaction conditions such as
alkaline pH or urea-induced denaturation. We propose that the
stabilization of catalytic RNA folds in prebiotic crowded
environments could provide a general means of enabling
ribozyme-catalyzed RNA assembly in diverse environments
including those with low availability of Mg2+.
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Figure 2. Crowding decreases the Mg2+ requirement for RNA-ligase activity. Mg2+ dependence on ligation rates of the ligase 1 ribozyme (A) in the
absence of crowders and (B−D) in the presence of (B) 10% (w/v) EG, (C) 30% (w/v) PEG 200, and (D) 19% (w/v) PEG 1000. (E) Crowding
agents reduce the [Mg2+]1/2 values for the rate of ribozyme ligation. Ligation reactions contained 1 μM ribozyme, 1.2 μM RNA template, and 2 μM
2-AI-activated RNA substrate in 100 mM Tris-HCl pH 8.0 and the indicated concentrations of MgCl2. Reactions contained additives (EG, PEG
200, or PEG 1000) as indicated.
■ RESULTS AND DISCUSSION
Crowding Rescues RNA-Catalyzed RNA Ligation at
Low Mg2+ Concentrations. To test the effect of crowding on
RNA-catalyzed RNA assembly, we chose a ligase ribozyme
(henceforth,
ligase 1) (Figure 1A, Table S1), previously
identified by in vitro selection, that catalyzes the template-
directed ligation of a primer strand to a 2AI-activated
oligonucleotide. This ribozyme exhibited significantly reduced
product yields at Mg2+ concentrations below 4 mM.6 For
example, ligation proceeded to ∼30% in 3 h at 4 mM Mg2+, but
yields were reduced to 8%, 2%, and 1% at 3, 2, and 1 mM
Mg2+, respectively. This ribozyme exhibits a corresponding
reduction in activity in the low-Mg2+ regime with only 5−15-
fold rate enhancement over background at 2−3 mM Mg2+
compared to the ∼300-fold enhancement observed at 10 mM
Mg2+.6 We used polyethylene glycol (PEG) to generate a
crowded environment in vitro. PEG is chemically inert and
available in a wide range of MWs, which allowed us to simulate
the presence of a variety of small molecules and biopolymers
that could have been present in prebiotic milieus. We also
included ethylene glycol (EG) in our studies in addition to
PEGs of various MWs (PEG 200, PEG 400, PEG 1000, PEG
8000). EG can be synthesized abiotically22,23 and is one the
larger molecules detected in interstellar medium.24,25 We first
screened various concentrations of EG, PEG 200, PEG 400,
PEG 1000, and PEG 8000 to identify optimal crowding
conditions for ligase 1 activity in the presence of 1 mM Mg2+
and 100 mM Tris-HCl, pH 8 (Figure S1). We observed
remarkable ligation rescue in the presence of EG and both low-
and high-MW PEGs. Ligation yield rose from barely detectable
levels in the absence of crowding agents to about 20% and 50%
after 3 h at 1 and 2 mM Mg2+, respectively, in the presence of
10% (w/v) EG. Similar stimulation in ligation was observed in
30% (w/v) PEG 200, 30% (w/v) PEG 400, 19% (w/v) PEG
1000, and 19% (w/v) PEG 8000 at 1 mM Mg2+ with ∼50%
ligation after 3 h, which is comparable to the 60% ligation
observed in solution at 10 mM Mg2+ with no crowding agents
(Figure 1B and 1C). Ligation rates in the presence of crowders
at low Mg2+ (from 0.7 to 1.3 h−1) were also comparable to the
rate observed in the absence of crowders at 10 mM Mg2+
(∼1.5 h−1) (Figure 1D). Ligation yield decreased with an
increase in the concentration of EG. This trend is different
from other PEG-based crowders which exhibit better ligation
at higher concentrations (Figure S1). This difference between
EG and PEGs could be due to the mechanism by which these
crowders effect RNA structure. EG cannot exclude significant
volume due to its small size and must act through direct
interactions with the RNA backbone or through solvent effects
which increase the association between RNA and Mg2+.
Therefore, the crowding effects observed are likely enthalpic, in
contrast to the entropic contributions from PEGs, especially
ones with moderate to high MWs.
To understand the attenuated Mg2+ dependence of
ribozyme-ligase activity, we measured ligation rates as a
function of Mg2+ concentration in the presence of 10% EG
(low-MW additive), 30% PEG 200 (low-MW additive), and
19% PEG 1000 (high-MW additive). [Mg2+]1/2 was signifi-
cantly lowered in the presence of crowding agents (Figure 2,
Figure S2), consistent with the enhanced ligation yield
observed at low Mg2+ concentrations. A 3-fold reduction in
[Mg2+]1/2 was observed in 10% EG, while 30% PEG 200 and
19% PEG 1000 caused a ∼10-fold reduction (Figure 2E).
While all three crowders (EG, PEG 200, PEG 1000) supported
ligase 1 activity at lower concentrations of Mg2+, maximal rates
were achieved at submillimolar Mg2+ with PEG 200 and PEG
1000 and at ∼2 mM Mg2+ with EG. Because EG shows optimal
activity at 2 mM Mg2+, all experiments with EG (except for the
screening experiment in Figure S1 and the ligation experiment
at 55 °C) were performed at 2 mM Mg2+.
Previous studies have found a decrease in Mg2+ requirement
for ribozyme activity to accompany a decrease in Mg2+
requirement for folding in both the group II intron20 and
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Figure 3. Molecular crowding counteracts loss of ligase 3 ribozyme activity under denaturing conditions. Crowding rescues the loss of ligation
activity induced by (A) molar concentrations of urea and (B) alkaline pH. Ligation reactions contained 1 μM ribozyme, 1.2 μM RNA template, and
2 μM 2-AI-activated RNA substrate in 100 mM Tris-HCl pH 8.0, 1 mM MgCl2. Reactions contained additives (PEG 200, PEG 1000, or PEG
8000) and urea (1 or 2.5 M) as indicated.
the HDV26 ribozymes, supporting a role of crowding in
facilitating the formation of catalytically relevant folds. An
alternative explanation to the induction of RNA folding is that
the addition of cosolutes like PEG may alter solution
properties such as dielectric constant and water activity
which result in greater association between RNA and Mg2+.
An RNA-bound Mg2+ ion may activate the nucleophile at the
site of ligation or stabilize the transition state.27 We tested
nonenzymatic ligation in the presence of EG and various PEGs
at 1 mM Mg2+ using a FAM-labeled primer (corresponding to
the 3′ end sequence of the ligase downstream of the linker,
Table S1),
the 2AI-activated RNA substrate, and an
appropriate RNA template. Ligation yields were unaffected in
the presence of EG or PEGs (Figure S3), supporting the
importance of ribozyme structure in crowding-induced rate
enhancement.
To ask if the crowding-induced stimulation of ribozyme-
catalyzed phosphorimidazolide ligation was specific to ligase 1
or was more general, we tested the activity of another ligase
ribozyme (henceforth, ligase 2) identified from our previous in
vitro selection experiment (Table S1).6 Although distinct in
sequence and structure, ligase 2 exhibited a similar response to
crowding as ligase 1. While ∼6% ligation was observed in the
absence of crowding agents after 3 h at 1 mM Mg2+, crowding
increased ligation yields up to ∼60%, which was comparable to
the ligation yield at 10 mM Mg2+ in the absence of crowding
agents. The rates of
ligase 2-catalyzed ligation followed a
similar trend (Figure S4).
Crowding Protects Ligase Ribozyme from Denatura-
tion. Since crowding promotes the formation of compact RNA
folds, we wondered if molecular crowding could protect
ribozymes from unfolding under denaturing conditions at the
low Mg2+ concentrations that are compatible with fatty acid-
based protocell membranes. As ligase 1 and ligase 2 are
inactive at low Mg2+ in the absence of crowding agents, these
ribozymes cannot be used to capture the detrimental effects of
denaturants or the protective effects of crowding in the
presence of denaturants under these low-Mg2+ conditions.
Therefore, we used a previously reported 2AI-ligase (hence-
forth, ligase 3) that is functional under these conditions for the
following experiments.11 First, we tested RNA ligation by ligase
3 in the presence of urea, which is an effective denaturant of
RNA and also an important precursor molecule in the
prebiotic syntheses of ribonucleotides and amino acids.28 As
ligation rates in the background of 1 mM Mg2+
expected,
respectively,
decreased by ∼6-fold in the presence of 1 M urea, and ligation
was further reduced in the presence of 2.5 M urea (Figure 3A,
Figure S5A). Next, we tested the stabilizing effects of PEG 200,
a low-MW crowder, and PEG 1000, a high-MW crowder, in
the presence of urea. Ligation in 1 M urea was restored upon
addition of 30% PEG 200 and 19% PEG 1000 (Figure 3A).
Ligase 3 was even active in 2.5 M urea in the presence of PEG
200 and PEG 1000 with rate enhancements of 25-fold and 33-
fold,
relative to solutions without crowding
agents. Interestingly, EG did not show any ligation rescue
under these partially denaturing conditions (Figure S5B).
Ribozyme activity in the presence of molar concentrations of
urea is consistent with the stabilization of compact, solvent-
excluded RNA tertiary structures by crowding agents.26 We
suggest
that polymeric crowders such as polypeptides or
polyesters or even “proto-peptides” such as depsipeptides that
contain a mixture of amide and ester linkages, if present in
sufficient concentrations in prebiotic environments, could have
shielded catalytic RNA structures from nonspecific denatura-
tion by molecules such as urea and formamide.29
Alkaline pH, which can be beneficial for certain prebiotic
processes such as the synthesis of sugars28 and RNA strand
separation,30 is detrimental to the chemical stability of RNA.
However, compact folded RNAs are more resistant to alkaline
degradation than their unfolded counterparts. Encouraged by
the protective effect of crowding in the presence of urea, we
measured the activity of ligase 3 at pH 10 and pH 11 in
crowded solutions. No ligation was observed at pH 11 in the
presence or absence of crowders. A small amount of ligated
product was detected at pH 10 in the absence of crowding
agents with an 11-fold reduction in reaction rate relative to that
at pH 8 (kobs values of 0.1 h−1 at pH 10 vs 1.1 h−1 at pH 8).
We tested ligation at pH 10 with different crowders. Low-MW
crowders like EG and PEG 200 showed no benefit; however,
the loss of ligase activity at pH 10 was less pronounced in the
presence of high-MW crowders PEG 1000 and PEG 8000 with
only a 2.6-fold and 2.3-fold reduction in kobs, respectively,
relative to their values at pH 8 (Figure 3B, Figure S6A). This
represents a 4−5-fold rate enhancement
ribozyme-
catalyzed ligation at pH 10 upon crowding (Figure 3B).
Although ligase activity was rescued in the presence of
crowders, crowding had a minimal effect on the extent of
RNA degradation at pH 10 or pH 11. Therefore, the beneficial
effect of crowders may result from the protection of the
catalytic fold from disruption at alkaline pH or by preserving
for
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Figure 4. RNA ligation catalyzed by the ligase 1 ribozyme is stimulated in the presence of prebiotic molecules. (A) Ligation yields after 3 h at 1
mM Mg2+ in the presence of ribose and prebiotic amino acids. (B) Ligation rates at 1 mM Mg2+ in the presence of ribose and prebiotic amino acids.
Ligation reactions contained 1 μM ribozyme, 1.2 μM RNA template, and 2 μM 2-AI-activated RNA substrate in 100 mM Tris-HCl pH 8.0 and 1
mM or 10 mM MgCl2. Reactions contained additives (3.8% (w/v) D-ribose, 2.5 mM individual amino acid, or 2.5 mM amino acid mixture) as
indicated.
base-pairing interactions between the substrate, template, and
ribozyme.
We asked whether crowding could have had a similar
protective function during fluctuating temperature cycles on
the early Earth. Only a modest enhancement in ligation rates
by ligase 3 was observed at 55 °C in the presence of EG, PEG
400, PEG 1000, and PEG 8000 (Figure S6B and S6C). The
lack of substantial benefit from crowding at high temperatures
is consistent with UV melting experiments with the ligase 1
ribozyme, which revealed a negligible increase (ΔTm = 0.5 °C)
in its thermal stability in the presence of high-MW crowder,
PEG 1000 (Figure S7A and S7B). EG, on the other hand,
caused a 4 °C decrease in Tm (Figure S7A and S7B). A similar
decrease in Tm value in the presence of EG has been observed
with the hammerhead ribozyme, which we speculate could be
due to a destabilization of base-paired helices.31
Crowding Stimulates RNA-Catalyzed RNA Polymer-
ization at Low Mg2+ Concentrations. Although ribozymes
that catalyze the template-directed polymerization of nucleo-
side phosphorimidazolides have not yet been reported,
polymerase ribozymes that use NTPs as substrates have been
evolved from the class I ligase ribozyme.9,10,32 These ribozymes
generally require 50−200 mM Mg2+, which makes them
incompatible with fatty acid vesicle-based models for primitive
cells. Tagami et al. demonstrated modest polymerase function
at 10 mM free Mg2+ in the presence of lysine decapeptide
(K10), which enabled RNA-catalyzed RNA polymerization
within Mg2+-resistant 1-palmitoyl-2-oleoylphosphatidylcholine
(POPC) vesicles.33 Similarly, Takahashi et al. demonstrated
the addition of up to 5 nucleotides by the tC9Y polymerase
ribozyme in the presence of 10 mM Mg2+ upon addition of
20% PEG 200.34 We tested the ability of the 38−6 polymerase
ribozyme10 to extend a 10 nt RNA primer on a 21 nt RNA
template in the presence of 5 mM Mg2+ in solutions containing
low- or high-MW PEGs. Negligible extension beyond +4 was
observed in the absence of crowding agents; however, small
amounts of full-length products (+11) were detected in the
presence of PEG 200 or PEG 1000 after 24 h. The prominent
+1 extension product increased from 24% without crowding
agents to 33% and 40% in the presence of PEG 200 and PEG
1000, respectively. While only 26% of the primer was extended
in the absence of crowding agents, 37% and 43% of the primer
was extended in the presence of PEG 200 and PEG 1000,
respectively (Figure S8). Enhancement of ribozyme polymer-
ase activity at low millimolar Mg2+ underscores the generality
of the beneficial effects of crowded environments on ribozyme-
catalyzed RNA assembly. Interestingly, molecular crowding has
also been found to enhance the polymerization of NTPs35 and
dNTPs36 by biologically derived protein polymerases, which
further supports the role of crowding in facilitating nucleic acid
assembly.
Prebiotically Relevant Small Molecules Enable Ribo-
zyme-Catalyzed RNA Ligation at Low Mg2+. While our
observations on the effects of molecular crowding agents on
ribozyme activity are promising,
the above results were
obtained with prebiotically irrelevant synthetic PEG molecules
with the exception of EG. Therefore, we explored the potential
of prebiotically relevant small molecules for stimulating
ribozyme-ligase activity. Considering the importance of simple
sugars in a pre-RNA/RNA world and the stabilizing effect of
ribose on fatty acid membranes, we decided to explore the
effect of ribose on ligase 1 ribozyme activity.28,37,38 We also
tested a subset of amino acids thought to be available on early
Earth as products of prebiotic synthetic pathways such as the
cyanosulfidic protometabolic reaction network.39 Ribose at 2%
(w/v) and 3.8% (w/v) increased ligation yield from ∼1% to
∼11% and ∼26% after 3 h in the presence of 1 mM Mg2+ with
kobs values of ∼0.4 and ∼0.5 h−1, respectively (Figure S9,
Figure 4). We also screened the amino acids glycine, alanine,
proline, leucine, serine, and aspartic acid at 2.5, 5, 10, and 20
mM concentrations for their ability to stimulate ligation at 1
mM Mg2+. All of the above amino acids were found to
stimulate ligation regardless of their concentrations with yields
of 25−35% after 3 h (Figure S10). As lower concentrations are
prebiotically more likely in most microenvironments, we
measured the yield and rate of ligase 1-catalyzed RNA ligation
in the presence of 2.5 mM of each amino acid and a mixture of
all six amino acids at a total concentration of 2.5 mM (Figure
4). The presence of amino acids both individually and as a
mixture rescued ligation rates to within a factor of 1.4−3.8 of
that observed at 10 mM Mg2+ without any additive (Figure
4B). As ligase 1 exhibits negligible ligation at 1 mM Mg2+ even
in the presence of high concentrations of Na+ (300 mM),6 low
in reactions
concentrations of monovalent counterions
containing 2.5−20 mM amino acids are unlikely to cause
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this pronounced rate stimulation, and the amino acids must be
playing a direct role.
The mechanism for ribozyme activation at low Mg2+ by
ribose or amino acids is not clear. Aliphatic alcohols such as
methanol, ethanol, propanol, 2-methoxyethanol, and propane-
1,3-diol stimulate hammerhead catalysis at 1 mM Mg2+ by
decreasing the dielectric constant of the solution, thereby
enhancing interactions between the ribozyme and Mg2+.31
Ribose-mediated enhancement of ribozyme-catalyzed RNA
ligation could be a result of similar solution-level effects. The
beneficial effect of amino acids toward ribozyme activity has
It was
been previously observed for RNA self-cleavage.
proposed that the increase in ribozyme activity resulted from
structural compaction of the RNA, which allowed greater
sampling of its catalytic fold.40 This assertion was supported by
thermal denaturation and SAXS studies. Amino acids may
stimulate RNA folding by altering solvent properties like
dielectric constant or water activity.17 Additionally, as amino
acids can weakly chelate Mg2+, the chelated amino acids may
form a layer on the RNA surface,
increasing the local
concentration of Mg2+, which may lead to improved folding
and catalysis.40,41 Regardless, this ability of prebiotic small
molecules to facilitate ribozyme-catalyzed RNA assembly
presents a “systems”-level solution for lowering the Mg2+
requirement for this central process in primordial biochemis-
try.
■ CONCLUSION
results
the emergence of RNA-based cellular
The crucial role of Mg2+ in both nonenzymatic- and ribozyme-
catalyzed RNA replication coupled with its ability to accelerate
RNA degradation and destabilize fatty acid protocells presents
a puzzle for
life.
Therefore, exploring scenarios that mitigate this “Mg2+
problem” is of critical importance. The low Mg2+ requirement
for natural ribozymes that function within crowded cellular
environments inspired us to study molecular crowding as a
general solution to the Mg2+ problem in the context of
ribozyme-catalyzed RNA assembly. Our
show a
dramatic stimulation of ribozyme-catalyzed assembly of 2AI-
activated RNA oligomers and nucleoside triphosphates at low
millimolar Mg2+ by prebiotically relevant amino acids, ribose,
ethylene glycol, and polyethylene glycols of various MWs
(200−8000). The beneficial effects of amino acids, ribose, and
ethylene glycol are especially notable since these molecules can
be synthesized abiotically and therefore were likely to have
been present in early Earth environments. The 3−10-fold
lower Mg2+ requirement for ligase ribozymes in the presence of
such solutes likely stems from enhanced RNA folding in
“crowded” solutions as the corresponding nonenzymatic
ligation reaction was not affected by crowding. Stimulation
of catalytic activity in the presence of molecular crowding has
been reported for other ribozymes.17 Since the crowding-
induced enhancement of RNA assembly was
largely
independent of crowder size,
ribozyme folding could be
favored by an interplay of both enthalpic forces arising from
interactions between the RNA surface and the crowder and
entropic forces arising from volume exclusion.17 In most cases
where both low-MW and high-MW crowders affect macro-
molecular function, it is extremely difficult to delineate the
individual contributions of volume exclusion and the various
enthalpic forces that are always at play.17 Further studies may
help isolate the effects of these distinct thermodynamic forces.
We demonstrated that in addition to enabling RNA ligation
in the low-Mg2+ regime, crowding offers modest to significant
protection to ligase ribozymes under various denaturing
conditions relevant to early Earth environments. The ability
to function under conditions that favor the disruption of RNA
secondary structure could have been important for rapid RNA-
catalyzed RNA replication, which requires the separation of
newly synthesized RNA strands from their RNA templates
while preserving catalytic RNA structures.
Efficient RNA assembly, at
low Mg2+ concentrations,
presents a path to reconcile ribozyme function with the
stability of protocell membranes made of fatty acids. Protocells
crowded with prebiotic small molecules like sugars, alcohols,
and amines and polymeric species such as short oligonucleo-
tides or polypeptides could potentially support a wide range of
the low Mg2+ concentrations
ribozyme activities under
is
required for maintaining membrane integrity. This
particularly interesting in the context of our earlier observation
that prebiotically relevant small molecules including ribose also
reduce RNA leakage from fatty acid vesicles.11 The combined
effect of enhancing ribozyme function under low Mg2+
conditions and stabilizing protocell membranes against Mg2+
suggests a potential role for these prebiotic molecules that is
separate from their roles as components of the building blocks
of life. By providing a general mechanism to activate RNA
low Mg2+ concentration, molecular crowding
catalysis at
expands the range of environments in which ribozymes can
function to less salty environments such as freshwater bodies12
and increases the likelihood of
the emergence of active
ribozymes from the RNA sequence space.21 Suboptimal
sequences that would otherwise not be selected in low-Mg2+
environments could emerge in crowded milieus, potentially
creating neutral mutational pathways that would facilitate
ribozyme evolution and therefore increase the catalytic
diversity of the RNA world.
■ EXPERIMENTAL PROCEDURES
the 3′ end of
RNA Preparation and Substrate Activation. Ribozymes
were prepared by in vitro transcription of PCR-generated
dsDNA templates containing 2′-O-methyl modifications to
reduce transcriptional heterogeneity at
the
RNA42 (Table S1). Transcription reactions contained 40 mM
Tris-HCl (pH 8), 2 mM spermidine, 10 mM NaCl, 25 mM
MgCl2, 10 mM dithiothreitol (DTT), 30 U/mL RNase
inhibitor murine (NEB), 2.5 U/mL thermostable inorganic
pyrophosphatase (TIPPase) (NEB), a 4 mM concentration of
each NTP, 30 pmol/mL DNA template, and 1U/μL T7 RNA
Polymerase (NEB) and were incubated for 3 h at 37 °C. DNA
template was digested by DNase I (NEB) treatment, and RNA
was extracted with phenol−chloroform−isoamyl alcohol
(PCI), ethanol precipitated, and purified by denaturing
PAGE. Ligation templates, FAM-labeled primers, and ssDNA
were purchased from Integrated DNA Technologies.
The 5′-monophosphorylated oligonucleotide corresponding
to the substrate sequence was activated by incubating it with
0.2 M 1-ethyl-3-(3 dimethylaminopropyl) carbodiimide (HCl
salt) and 0.6 M 2-aminoimidazole (HCl salt, pH adjusted to 6)
for 2 h at room temperature. The reaction was washed with
water in Amicon Ultra spin columns (3 kDa cutoff) 4−5 times
(200 μL of water per wash) and purified by reverse-phase
analytical HPLC using a gradient from 98% to 75% 20 mM
TEAB (triethylamine bicarbonate, pH 8) versus acetonitrile
over 40 min.6
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Ligation Assays. Ligation reactions contained 1 μM
ribozyme, 1.2 μM RNA template, and 2 μM 2-AI-activated
RNA substrate in 100 mM Tris-HCl pH 8.0, the indicated
concentrations of MgCl2, and crowding agents. All reactions
were performed at
room temperature unless mentioned
otherwise. Aliquots were quenched with 5 volumes of quench
buffer (8 M urea, 100 mM Tris-Cl, 100 mM boric acid, 100
mM EDTA) and analyzed by denaturing PAGE. Gels were
stained using SYBR Gold,43 imaged on an Amersham Typhoon
RGB instrument (GE Healthcare), and analyzed in Image-
Quant IQTL 8.1. Intensities corresponding to the ligated
product were normalized to account for the difference in size
between the 95 nt precursor band and the 111 nt product
band. Kinetic data were nonlinearly fitted to the modified first-
order rate equation, y = A(1 − e−kx), where A represents the
fraction of active complex, k is the first-order rate constant, x is
time, and y is the fraction of ligated product in GraphPad
Prism 9. For nonenzymatic ligation, a 5′-FAM-labeled RNA
primer corresponding to the last 8 nt of the ribozyme sequence
was used instead of the ribozyme, and the gel was directly
imaged.
Ligation Assays under Denaturing Conditions. All ligation
assays under denaturing conditions were performed with the
ligase 3 ribozyme, which retains activity under low [Mg2+].
Ligation at High pH. Ribozyme and template were heated
at 95 °C for 2 min in the absence of any buffer and cooled to
room temperature. CAPS buffer (pH 10 or 11) was added to a
final concentration of 100 mM in the absence or presence of
crowding agents (19% PEG 1000 or 19% PEG 8000) and 1
mM MgCl2. The substrate was added immediately after the
addition of MgCl2 to initiate ligation.
Ligation at High Temperatures. Reactions with or without
crowding agents (10% ethylene glycol, 30% PEG 400, 19%
PEG 1000, or 19% PEG 8000) were incubated at 55 °C after
initiating ligation by adding the substrate.
Ligation in the Presence of Urea. A 10 M concentration of
urea was added to final concentrations of 1 or 2.5 M after
refolding in the presence of crowding agents (30% PEG 200 or
19% PEG 1000) and 1 mM MgCl2 to minimize degradation at
high temperatures required for refolding. The substrate was
added immediately after the addition of MgCl2 to initiate
ligation.
Ribozyme-Catalyzed NTP Polymerization Assays. A
FAM-labeled RNA primer (80 nM), RNA template (100 nM),
and polymerase ribozyme (100 nM) were heated in the
absence and presence of crowding agents and 25 mM Tris·HCl
pH 8 at 80 °C for 30 s and cooled to 17 °C at a gradient of 0.1
°C/s. MgCl2 was added to final concentrations of 5 and 200
followed by a 0.5 mM concentration of each NTP.
mM,
Reactions were incubated at 17 °C for 24 h, and 1 μL aliquots
were quenched with 7 μL of quench buffer (8 M urea, 100 mM
Tris-Cl, 100 mM boric acid, 100 mM EDTA containing 5 μM
DNA oligo complementary to template). Reactions were
analyzed by denaturing PAGE. Gels were imaged on an
Amersham Typhoon RGB instrument (GE Healthcare) and
analyzed in ImageQuant IQTL 8.1.
UV Melting Analysis of Ligase Ribozyme. UV melting
experiments were performed to determine the thermal stability
of the ligase 1 ribozyme in the absence of presence of low- and
high-MW crowding agents according to the protocol used by
Struslon et al.44 Briefly, 0.5 μM ribozyme was incubated at 95
°C for 2 min in 10 mM sodium cacodylate buffer (pH 7) and
refolded in the absence or presence of crowding agents (10%
ethylene glycol or 19% PEG 1000) in the presence of 1 mM
MgCl2 by heating the solution to 55 °C for 10 min followed by
cooling to room temperature for 10 min. A Cary UV−vis
multicell Peltier spectrophotometer was used for melting
experiments. Absorbance was recorded at 260 nm every
minute between 20 and 90 °C. Data was normalized with
respect to “buffer only” sample in each case, which contained
all components in the experimental sample except RNA.
Derivative plots of normalized data (dA/dT) vs T) and melting
temperatures (Tm) were obtained by the instrument’s default
software.
■ ASSOCIATED CONTENT
*sı Supporting Information
The Supporting Information is available free of charge at
https://pubs.acs.org/doi/10.1021/acscentsci.3c00547.
Supplementary table with RNA oligonucleotides used in
this work; identification of optimal crowding conditions
for ligase 1-catalyzed RNA ligation; representative gels
illustrating the Mg2+ dependence of ligase 1 ribozyme-
catalyzed RNA ligation in the absence and presence of
crowding agents; nonenzymatic ligation is not influenced
by molecular crowding; ligase 2 activity at low Mg2+
concentrations is rescued by crowding agents; effect of
molecular crowding on ligase 3-catalyzed RNA ligation
in the presence of urea; effect of molecular crowding on
ligase 3-catalyzed RNA ligation under alkaline pH and
high temperature; effect of molecular crowding on the
thermal stability of the ligase 1 ribozyme; RNA-catalyzed
polymerization of NTPs at low Mg2+ concentration;
ribozyme-catalyzed RNA ligation is stimulated in the
presence of ribose; ribozyme-catalyzed RNA ligation is
stimulated in the presence of prebiotically relevant
amino acids (PDF)
Transparent Peer Review report available (PDF)
■ AUTHOR INFORMATION
Corresponding Authors
Saurja DasGupta − Department of Molecular Biology, Center
for Computational and Integrative Biology, Massachusetts
General Hospital, Boston, Massachusetts 02114, United
States; Howard Hughes Medical Institute, Massachusetts
General Hospital, Boston, Massachusetts 02114, United
States; Department of Genetics, Harvard Medical School,
Boston, Massachusetts 02115, United States;
0000-0002-9064-9131; Email: dasgupta@
molbio.mgh.harvard.edu
orcid.org/
Jack W. Szostak − Department of Molecular Biology, Center
for Computational and Integrative Biology, Massachusetts
General Hospital, Boston, Massachusetts 02114, United
States; Howard Hughes Medical Institute, Massachusetts
General Hospital, Boston, Massachusetts 02114, United
States; Department of Genetics, Harvard Medical School,
Boston, Massachusetts 02115, United States; Department of
Chemistry and Chemical Biology, Harvard University,
Cambridge, Massachusetts 02138, United States; Present
Address: Howard Hughes Medical Institute, Department
of Chemistry, University of Chicago, Chicago, Illinois
60637, United States.;
1203; Email: jwszostak@uchicago.edu
orcid.org/0000-0003-4131-
1676
https://doi.org/10.1021/acscentsci.3c00547
ACS Cent. Sci. 2023, 9, 1670−1678
http://pubs.acs.org/journal/acscii
Article
ACS Central Science
Author
Stephanie Zhang − Department of Molecular Biology, Center
for Computational and Integrative Biology, Massachusetts
General Hospital, Boston, Massachusetts 02114, United
States; Department of Chemistry and Chemical Biology,
Harvard University, Cambridge, Massachusetts 02138,
United States; Present Address: Department of Pathology,
Brigham and Women’s Hospital, Boston, Massachusetts
02115, United States
Complete contact information is available at:
https://pubs.acs.org/10.1021/acscentsci.3c00547
Notes
The authors declare no competing financial interest.
■ ACKNOWLEDGMENTS
J.W.S.
is an Investigator of the Howard Hughes Medical
Institute. This work was supported in part by a grant from the
Simons Foundation (290363) to J.W.S.
■ REFERENCES
(1) Gilbert, W. The RNA World. Nature 1986, 319, 618.
(2) DasGupta, S.; Piccirilli, J. A. The Varkud Satellite Ribozyme: A
Journey through Biochemistry, Crystallography, and
Thirty-Year
Computation. Acc. Chem. Res. 2021, 54 (11), 2591−2602.
(3) Lee, K. Y.; Lee, B. J. Structural and Biochemical Properties of
Novel Self-Cleaving Ribozymes. Molecules 2017, 22 (4), 678.
(4) Ren, A.; Micura, R.; Patel, D. J. Structure-based mechanistic
insights into catalysis by small self-cleaving ribozymes. Curr. Opin
Chem. Biol. 2017, 41, 71−83.
(5) Joyce, G. F.; Szostak, J. W. Protocells and RNA Self-Replication.
Cold Spring Harb. Perspect. Biol. 2018, 10 (9), a034801.
(6) Walton, T.; DasGupta, S.; Duzdevich, D.; Oh, S. S.; Szostak, J.
W. In vitro selection of ribozyme ligases that use prebiotically
plausible 2-aminoimidazole-activated substrates. Proc. Natl. Acad. Sci.
U. S. A. 2020, 117 (11), 5741−5748.
(7) AbouHaidar, M. G.;
I. G. Non-enzymatic RNA
Ivanov,
hydrolysis promoted by the combined catalytic activity of buffers
and magnesium ions. Z. Naturforsch C J. Biosci 1999, 54 (7−8), 542−
548.
(8) Bartel, D. P.; Szostak, J. W. Isolation of new ribozymes from a
large pool of random sequences [see comment]. Science 1993, 261
(5127), 1411−1418.
(9) Attwater, J.; Wochner, A.; Holliger, P. In-ice evolution of RNA
polymerase ribozyme activity. Nat. Chem. 2013, 5 (12), 1011−1018.
(10) Tjhung, K. F.; Shokhirev, M. N.; Horning, D. P.; Joyce, G. F.
An RNA polymerase ribozyme that synthesizes its own ancestor. Proc.
Natl. Acad. Sci. U. S. A. 2020, 117 (6), 2906−2913.
(11) DasGupta, S.; Zhang, S. J.; Smela, M. P.; Szostak, J. W. RNA-
Catalyzed RNA Ligation within Prebiotically Plausible Model
Protocells. Chem. Eur. J. 2023, No. e202301376.
(12) Maurer, S. The Impact of Salts on Single Chain Amphiphile
Membranes and Implications for the Location of the Origin of Life.
Life (Basel) 2017, 7 (4), 44.
(13) Leamy, K. A.; Assmann, S. M.; Mathews, D. H.; Bevilacqua, P.
C. Bridging the gap between in vitro and in vivo RNA folding. Q. Rev.
Biophys. 2016, 49, No. e10.
(14) Fulton, A. B. How crowded is the cytoplasm? Cell 1982, 30 (2),
345−347.
(15) Minton, A. P. The influence of macromolecular crowding and
macromolecular confinement on biochemical reactions in physio-
logical media. J. Biol. Chem. 2001, 276 (14), 10577−10580.
(16) Zhou, H. X.; Rivas, G.; Minton, A. P. Macromolecular crowding
and confinement: biochemical, biophysical, and potential physio-
logical consequences. Annu. Rev. Biophys 2008, 37, 375−397.
(17) DasGupta, S. Molecular crowding and RNA catalysis. Org.
Biomol Chem. 2020, 18 (39), 7724−7739.
(18) Dupuis, N. F.; Holmstrom, E. D.; Nesbitt, D. J. Molecular-
crowding effects on single-molecule RNA folding/unfolding thermo-
dynamics and kinetics. Proc. Natl. Acad. Sci. U. S. A. 2014, 111 (23),
8464−8469.
(19) Paudel, B. P.; Rueda, D. Molecular crowding accelerates
ribozyme docking and catalysis. J. Am. Chem. Soc. 2014, 136 (48),
16700−16703.
(20) Paudel, B. P.; Fiorini, E.; Borner, R.; Sigel, R. K. O.; Rueda, D.
S. Optimal molecular crowding accelerates group II intron folding and
maximizes catalysis. Proc. Natl. Acad. Sci. U. S. A. 2018, 115 (47),
11917−11922.
(21) Saha, R.; Pohorille, A.; Chen, I. A. Molecular crowding and
early evolution. Orig Life Evol Biosph 2014, 44 (4), 319−324.
(22) Karsili, T. N. V.; Fennimore, M. A.; Matsika, S. Electron-
induced origins of prebiotic building blocks of sugars: mechanism of
self-reactions of a methanol anion dimer. Phys. Chem. Chem. Phys.
2018, 20 (18), 12599−12607.
(23) Liu, Z.; Wu, L. F.; Kufner, C. L.; Sasselov, D. D.; Fischer, W.
W.; Sutherland, J. D. Prebiotic photoredox synthesis from carbon
dioxide and sulfite. Nat. Chem. 2021, 13 (11), 1126−1132.
(24) Rivilla, V. M.; Beltrán, M. T.; Cesaroni, R.; Fontani, F.; Codella,
C.; Zhang, Q. Formation of ethylene glycol and other complex
organic molecules in star-forming regions. Astron. Astrophys. 2017,
598, A59.
(25) Fedoseev, G.; Cuppen, H. M.; Ioppolo, S.; Lamberts, T.;
Linnartz, H. Experimental evidence for glycolaldehyde and ethylene
glycol formation by surface hydrogenation of CO molecules under
dense molecular cloud conditions. Mon. Not. R. Astron. Soc. 2015, 448
(2), 1288−1297.
(26) Strulson, C. A.; Yennawar, N. H.; Rambo, R. P.; Bevilacqua, P.
C. Molecular crowding favors reactivity of a human ribozyme under
ionic conditions. Biochemistry 2013, 52 (46), 8187−
physiological
8197.
(27) Shechner, D. M.; Grant, R. A.; Bagby, S. C.; Koldobskaya, Y.;
Piccirilli, J. A.; Bartel, D. P. Crystal structure of the catalytic core of an
RNA-polymerase ribozyme. Science 2009, 326 (5957), 1271−1275.
(28) Yadav, M.; Kumar, R.; Krishnamurthy, R. Chemistry of Abiotic
Nucleotide Synthesis. Chem. Rev. 2020, 120 (11), 4766−4805.
(29) Frenkel-Pinter, M.; Haynes, J. W.; Mohyeldin, A. M.; C, M.;
Sargon, A. B.; Petrov, A. S.; Krishnamurthy, R.; Hud, N. V.; Williams,
L. D.; Leman, L. J. Mutually stabilizing interactions between proto-
peptides and RNA. Nat. Commun. 2020, 11 (1), 3137.
(30) Mariani, A.; Bonfio, C.; Johnson, C. M.; Sutherland, J. D. pH-
Driven RNA Strand Separation under Prebiotically Plausible
Conditions. Biochemistry 2018, 57 (45), 6382−6386.
(31) Nakano, S.; Kitagawa, Y.; Yamashita, H.; Miyoshi, D.;
Sugimoto, N. Effects of Cosolvents on the Folding and Catalytic
Activities of the Hammerhead Ribozyme. Chembiochem 2015, 16
(12), 1803−1810.
(32) Horning, D. P.; Joyce, G. F. Amplification of RNA by an RNA
polymerase ribozyme. Proc. Natl. Acad. Sci. U. S. A. 2016, 113 (35),
9786−9791.
(33) Tagami, S.; Attwater, J.; Holliger, P. Simple peptides derived
from the ribosomal core potentiate RNA polymerase ribozyme
function. Nat. Chem. 2017, 9 (4), 325−332.
(34) Takahashi, S.; Okura, H.; Sugimoto, N. Bisubstrate Function of
RNA Polymerases Triggered by Molecular Crowding Conditions.
Biochemistry 2019, 58 (8), 1081−1093.
(35) Takahashi, S.; Okura, H.; Chilka, P.; Ghosh, S.; Sugimoto, N.
Molecular crowding induces primer extension by RNA polymerase
through base stacking beyond Watson-Crick rules. RSC Adv. 2020, 10
(55), 33052−33058.
(36) Takahashi, S.; Herdwijn, P.; Sugimoto, N. Effect of Molecular
Crowding on DNA Polymerase Reactions along Unnatural DNA
Templates. Molecules 2020, 25 (18), 4120.
(37) Furukawa, Y.; Chikaraishi, Y.; Ohkouchi, N.; Ogawa, N. O.;
Glavin, D. P.; Dworkin, J. P.; Abe, C.; Nakamura, T. Extraterrestrial
1677
https://doi.org/10.1021/acscentsci.3c00547
ACS Cent. Sci. 2023, 9, 1670−1678
ACS Central Science
http://pubs.acs.org/journal/acscii
Article
ribose and other sugars in primitive meteorites. Proc. Natl. Acad. Sci.
U. S. A. 2019, 116 (49), 24440−24445.
(38) Meinert, C.; Myrgorodska, I.; de Marcellus, P.; Buhse, T.;
Nahon, L.; Hoffmann, S. V.; d’Hendecourt, L. L. S.; Meierhenrich, U.
J. Ribose and related sugars from ultraviolet irradiation of interstellar
ice analogs. Science 2016, 352 (6282), 208−212.
(39) Wu, L. F.; Sutherland, J. D. Provisioning the origin and early
evolution of life. Emerg Top Life Sci. 2019, 3 (5), 459−468.
(40) Yamagami, R.; Bingaman, J. L.; Frankel, E. A.; Bevilacqua, P. C.
Cellular conditions of weakly chelated magnesium ions strongly
promote RNA stability and catalysis. Nat. Commun. 2018, 9 (1),
2149.
(41) Yamagami, R.; Huang, R.; Bevilacqua, P. C. Cellular
Concentrations of Nucleotide Diphosphate-Chelated Magnesium
Ions Accelerate Catalysis by RNA and DNA Enzymes. Biochemistry
2019, 58 (38), 3971−3979.
(42) Kao, C.; Zheng, M.; Rudisser, S. A simple and efficient method
to reduce nontemplated nucleotide addition at the 3 terminus of
RNAs transcribed by T7 RNA polymerase. RNA 1999, 5 (9), 1268−
1272.
(43) Guillen, D.; Schievelbein, M.; Patel, K.; Jose, D.; Ouellet, J. A
simple and affordable kinetic assay of nucleic acids with SYBR Gold
gel staining. PLoS One 2020, 15 (3), No. e0229527.
(44) Strulson, C. A.; Boyer, J. A.; Whitman, E. E.; Bevilacqua, P. C.
Molecular crowders and cosolutes promote folding cooperativity of
RNA under physiological ionic conditions. RNA 2014, 20 (3), 331−
347.
1678
https://doi.org/10.1021/acscentsci.3c00547
ACS Cent. Sci. 2023, 9, 1670−1678
| null |
10.1371_journal.pclm.0000184.pdf
|
journal.pclm.0000184 April 19, 2023
1 / 20
PLOS CLIMATEmajor data source of the study and are included in
the submitted manuscript. Search terms and the
extraction matrix used for the literature search to
develop preliminary causal loop models are
included as Supplementary material. Listing of the
literature accessed and data extracted are lodged
on the QMU eData repository: https://eresearch.
qmu.ac.uk/handle/20.500.12289/12889.
| null |
RESEARCH ARTICLE
Informing adaptation strategy through
mapping the dynamics linking climate change,
health, and other human systems: Case
studies from Georgia, Lebanon, Mozambique
and Costa Rica
Giulia Loffreda1, Ivdity ChikovaniID
Laura C. Blanco6, Liz Grant7, Alastair Ager1,8*
2, Ana O. Mocumbi3,4, Michele Kosremelli AsmarID
5,
1 Research Unit on Health in Situations of Fragility, Institute for Global Health and Development, Queen
Margaret University, Edinburgh, United Kingdom, 2 Curatio International Foundation, Tbilisi, Georgia,
3 Instituto Nacional de Sau´ de, Marracuene, Mozambique, 4 Universidade Eduardo Mondlane, Maputo,
Mozambique, 5 Institut Supe´rieur de Sante´ Publique, Saint Joseph University of Beirut, Beirut, Lebanon,
6 School of Economics, Universidad de Costa Rica, San Jose´, Costa Rica, 7 Global Health Academy,
University of Edinburgh, Edinburgh, United Kingdom, 8 Department of Population and Family Health,
Columbia Mailman School of Public Health, New York, NY, United States of America
* alastair.ager@gmail.com
Abstract
While scientific research supporting mitigation of further global temperature rise remains a
major priority, CoP26 and CoP27 saw increased recognition of the importance of research
that informs adaptation to irreversible changes in climate and the increasing threats of
extreme weather events. Such work is inevitably and appropriately contextual, but efforts to
generalise principles that inform local strategies for adaptation and resilience are likely cru-
cial. Systems approaches are particularly promising in this regard. This study adopted a sys-
tem dynamics framing to consider linkages between climate change and population health
across four low- and middle-income country settings with a view to identifying priority inter-
sectoral adaptation measures in each. On the basis of a focused literature review in each
setting, we developed preliminary causal loop diagrams (CLD) addressing dynamics operat-
ing in Mozambique, Lebanon, Costa Rica, and Georgia. Participatory workshops in each
setting convened technical experts from different disciplines to review and refine this causal
loop analysis, and identify key drivers and leverage points for adaptation strategy. While
analyses reflected the unique dynamics of each setting, common leverage points were iden-
tified across sites. These comprised: i) early warning/preparedness regarding extreme
events (thus mitigating risk exposure); ii) adapted agricultural practices (to sustain food
security and community livelihoods in changing environmental conditions); iii) urban plan-
ning (to strengthen the quality of housing and infrastructure and thus reduce population
exposure to risks); iv) health systems resilience (to maintain access to quality healthcare for
treatment of disease associated with increased risk exposure and other conditions for which
access may be disrupted by extreme events); and v) social security (supporting the liveli-
hoods of vulnerable communities and enabling their access to public services, including
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OPEN ACCESS
Citation: Loffreda G, Chikovani I, Mocumbi AO,
Asmar MK, Blanco LC, Grant L, et al. (2023)
Informing adaptation strategy through mapping the
dynamics linking climate change, health, and other
human systems: Case studies from Georgia,
Lebanon, Mozambique and Costa Rica. PLOS Clim
2(4): e0000184. https://doi.org/10.1371/journal.
pclm.0000184
Editor: Shouro Dasgupta, Centro Euro-
Mediterraneo sui Cambiamenti Climatici, ITALY
Received: November 12, 2022
Accepted: March 20, 2023
Published: April 19, 2023
Peer Review History: PLOS recognizes the
benefits of transparency in the peer review
process; therefore, we enable the publication of
all of the content of peer review and author
responses alongside final, published articles. The
editorial history of this article is available here:
https://doi.org/10.1371/journal.pclm.0000184
Copyright: © 2023 Loffreda et al. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
Data Availability Statement: Causal loop diagrams
refined during workshop discussion comprise the
PLOS Climate | https://doi.org/10.1371/journal.pclm.0000184 April 19, 2023
1 / 20
PLOS CLIMATEmajor data source of the study and are included in
the submitted manuscript. Search terms and the
extraction matrix used for the literature search to
develop preliminary causal loop models are
included as Supplementary material. Listing of the
literature accessed and data extracted are lodged
on the QMU eData repository: https://eresearch.
qmu.ac.uk/handle/20.500.12289/12889.
Funding: This work was supported by an NIHR
grant (16/136/100) to AA (PI) and through a CoP26
International Climate Change Network award by the
Royal Society of Edinburgh (RSE) to AA and LG for
the work of the Research Unit on Heath in Fragility
at Queen Margaret University, Edinburgh. This
grant funded GL’s role as research coordinator of
the project. The funders had no role in study
design, data collection and analysis, decision to
publish, or preparation of the manuscript.
Competing interests: The authors have declared
that no competing interests exist.
Informing adaptation strategy through mapping the dynamics of linked systems
healthcare). System dynamics modelling methods can provide a valuable mechanism for
convening actors across multiple sectors to consider the development of adaptation
strategies.
Introduction
Of all nations, low- and middle-income countries (LMIC) face the severest consequences of
the climate crisis, despite having contributed the least to its occurrence [1, 2]. Climate change
significantly threatens the major health gains witnessed across these settings over recent
decades. Established direct and indirect pathways of influence [3] include: floods, increasing
risk of water-borne disease; diminishing freshwater availability, eroding food security and san-
itation; changes in temperature and rainfall impacting habitats and thus the spread of zoonotic
and vector-borne disease; air pollution impacting pulmonary health and lung functions; land
degradation and deforestation driving food insecurity and undernutrition; and environmental
change compromising mental health [4]. Critically, highly inequitable, inefficient, and unsus-
tainable patterns of resource consumption and technological development, together with pop-
ulation growth, exacerbate these risks [5].
Addressing these pathways therefore requires an understanding of their interaction and
linkage. Adaptation and resilience measures are actions to accommodate environmental
changes anticipated as a result of projected increases in global temperature, complementing
mitigation actions seeking to reduce drivers of further temperature increase (centrally through
reduction of carbon emissions). Resilience, a crucial theme within environmental research,
has also emerged as a central concept in the health systems literature [6]. Reflecting a broader
engagement in systems thinking [4, 7], research in this field has come to increasingly focus on
identifying system capacities for absorption, adaptation, and transformation developed from
system dynamic analyses [8, 9]. In a similar fashion, the planetary health education framework
highlights the importance of using system dynamics to understand how different factors inter-
act as part of a complex system [10].
Adaptation and resilience became focal points for CoP26: the Glasgow Climate Pact agreed
by 197 countries at its conclusion set out a way forward from the 2015 Paris Agreement,
emphasising the urgency of scaling up action and support to enhance adaptive capacity,
strengthen resilience and reduce vulnerability [11]. The launch of the Sharm-El-Sheikh
Adaptation Agenda at CoP27 then outlined thirty adaptation outcomes which can enhance
resilience for up to 4 billion people living in the most climate vulnerable communities by 2030
[12]. Steps were taken to initiate a Loss and Damage Fund to pay for climate related damage
for vulnerable nations made increasingly vulnerable because of the rapidity of climate related
adverse events, with a Transitional Committee set up to provide recommendations on types of
financing, levels of vulnerability and what the fund should cover. Understanding the intercon-
nected nature of loss (and the amplification of different losses, such as economic impacts on
the loss of cultural heritage, or habitable land) will require new data and new tools to interpret
this. Systems science has strong potential in this regard [5, 7, 10, 13].
This study addressed the linkages between climate change and health, by adopting a case
study approach drawing on system science. The aim was to map the complex dynamics
between climate change and population health across four settings linked to the Research Unit
on Health in Situations of Fragility (RUHF) network [14]. By making more explicit the interre-
lationships between the factors shaping climate and health in each context the aim was to
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PLOS CLIMATEInforming adaptation strategy through mapping the dynamics of linked systems
identify key entry-points and pathways for targeted adaptation and resilience measures. While
other studies have used system dynamics to explore the dynamics of climate change and
health, they have used it for specific settings or diseases [13]. To our knowledge, this is the first
study to use a comparative case study design across different settings and consider the role of
broader socio-political systems in connecting climate events and human health.
Methods
Theoretical framework
The study adopted a socio-ecological and political ecology approach. The emerging field of
planetary health reinforces the importance of the interconnections between environmental
and human health and the relevance of considering these to formulate feasible solutions to the
complex challenges of climate change [10]. We also drew on system thinking to better under-
stand the non-linear relationships that exist among the complex systems under study and to
address key adaptation and resilience measures.
Research design
We conducted case studies with partners in four low- and middle-income countries (LMICs):
Mozambique, Lebanon, Georgia, and Costa Rica. These four settings each reflect some form of
fragility as reflected in current OECD definitions [15], but exhibit diverse geographical, social,
and political characteristics and forms of climate vulnerability. We adopted a mixed method
approach incorporating a preliminary scoping literature review followed by group-based sys-
tem dynamic modelling (Fig 1).
Literature review. The search strategy for the preliminary scoping literature review
included key terms such as climate change, country name, and adaptation or resilience. We
intentionally kept our search approach wide to ensure retrieval of a sample of papers from
Fig 1. Flow diagram of research process used to develop case studies.
https://doi.org/10.1371/journal.pclm.0000184.g001
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PLOS CLIMATEInforming adaptation strategy through mapping the dynamics of linked systems
different disciplines. No timeframe restrictions were applied. We searched peer-reviewed arti-
cles and grey literature both in English and Spanish (for Costa Rica) in the following databases:
PubMed/Medline, Google Scholar, WHO IRIS, World Bank. Based on our pre-defined inclu-
sion criteria, we identified 36 papers. An additional six papers were shared by country partners
and included for data extraction.
The country specific literature was complemented and triangulated with key references
from the global literature to assess accuracy of information on the more general issues. We
piloted, revised, and finalised an extraction matrix covering the following information: biblio-
graphic information; socio-ecological factors (such as climate, political, social stressors,
human health, animal health) [16]; adaptation and resilience measures proposed; political
ecology factors [17]; and other themes such as gender [18].
Participatory workshops and system dynamic modelling. We collated information
from this preliminary scoping literature review–separately for each country—using a causal
loop seed model (see Fig 2) suggested by the work of Proust and colleagues [13]. This spatially
located variables identified in the reviewed literature with respect to three core domains: the
state of the earth system; human made influence/activities, and human health/wellbeing. An
initial causal loop diagram (CLD) was then elaborated for each country linking geographical,
socio-political, health system, disease, and extreme weather event variables on the basis of the
evidence presented by the reviewed literature and the research team consultations. CLDs were
developed using the software package Vensim MLE.
These CLDs were then refined during online consultations with collaborators in each set-
ting. The consultations involved participatory workshops with health, climate and environ-
ment specialists. Each workshop lasted approximately 2.5 hours and was conducted online
between July and August 2021. A total of 18 participants took part across the four workshops.
Participants, selected using a snowballing approach, were predominantly academics in differ-
ent fields (climate science, health, forestry, economics etc.) and all based in the countries
under study.
Fig 2. Seed model adopted for the development of causal loop diagrams. Adapted from Proust et al. (2012) showing
five key causal linkages between the state of the earth system, human influence and activities and human health and
well-being.
https://doi.org/10.1371/journal.pclm.0000184.g002
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PLOS CLIMATEInforming adaptation strategy through mapping the dynamics of linked systems
Workshops involved confirmation of the key variables of relevance and negotiation–on the
basis of the local multidisciplinary expertise and evidence available–of the core dynamics link-
ing them. Participants were asked to confirm the relevance of each variable in turn, confirm or
revise its pathway of connections and suggest additional variables linked to that pathway [7].
Feedback from participants was integrated into the CLDs in an iterative manner, editing the
diagram on screen. While discussions and model development followed the lead of partici-
pants (that is, the sequence of addressing variables and the pathways connecting them followed
the flow of discussion of system dynamics by the group), it was ensured that all pathways were
scrutinised at some stage of the workshop.
Once the CLD reflected the inputs of all participants, the group was invited to indicate
potential leverage points for instituting adaptation measures that would impact the dynamics
mapped for their setting [13]. The implications for national and local adaptation strategies
were then discussed.
On the completion of each workshop the CLD was finalised by the research team, utilising
a recording of the session to ensure that it reliably reflected the analysis of the group in terms
of the directionality of connections and their polarity (i.e. whether they acted to increase or
decrease the value of a connected variable) [7, 13].
Finally, after all four workshops were completed, researchers present at each conducted an
integrative analysis, comparing the four models to identify common features and potential
synergies regarding adaptation strategy. This analysis was shared and revised with input from
the full research team.
Ethics. Ethical approval for the research was granted through the Research Ethics Panel at
Queen Margaret University (QMU).
Results
We discuss each country case study in turn by providing a brief introduction to the setting and
then presenting the emerging themes from the analysis, including adaptation strategies priori-
tized. We then present an integrative analysis noting commonalities in the dynamics observed
across the four settings.
Georgia case study
Country profile. Georgia is a post-Soviet upper-middle-income country located in the
South Caucasus, a region characterised by instability and economic challenges [19, 20]. It is
rated as moderately fragile on the Fragile State Index (FSI) [21], with progressive erosion of
state legitimacy and aspects of community cohesion. The country borders Armenia and Azer-
baijan (now in conflict over the disputed region of Nagorno-Karabakh), Turkey and Russia.
Armed conflict in 1990 in Tskhinvali region and Abkhazia, a history of civil war, rapid market-
ization and hyperinflation following independence from the Soviet Union in 1991, have left
Georgia in a state of economic collapse [22]. Since 1994, policy reforms and economic growth
have improved the economic situation in the country [23]; however, signs of economic stress
were again observed in 2008 due to the conflict between Georgia and Russia over Tskhinvali
region. While recent decades have witnessed rapid economic development, socio-economic
inequalities continue to pose a challenge, with one-fifth of the population living in relative
poverty.
The country’s disease profile is dominated by non-communicable diseases (NCD) which
account for over 97% of all deaths and comprise 9 out of 10 conditions presenting for care,
with significant prevalence of circulatory diseases, cancer, diabetes and respiratory diseases
[22]. While Georgia has made progress on a number of indicators, such as maternal and infant
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PLOS CLIMATEInforming adaptation strategy through mapping the dynamics of linked systems
mortality, others remain above the regional average, with multi-drug resistant tuberculous
(TB) a continuing threat and an increasing incidence of HIV.
Since 2013 the government increased public spending on health to reduce financial barriers
to access and use of services. As a result, the share of out-of-pocket payment in current spend-
ing on health reduced to 48% in 2018. However public spending on health remains low (2.8%
of GDP) and degree of financial hardship (impoverishing and catastrophic health spending) is
among the highest in the European region [24].
Topographically, Georgia is characterized by the Great Caucasus Mountains in the north
and the Lesser Caucasus in the south. Georgia has many natural resources and is highly depen-
dent upon tourism, both of which are highly vulnerable to climate variability and change [25].
Almost half of the population lives in rural areas. In 2015, Georgia submitted its Nationally
Determined Contribution (NDC) and has pledged to reduce its Green House Gas (GHG)
emissions by 15% by 2030. Georgia’s National Adaptation Plan [26] includes the healthcare
sector, although a lack of data is viewed as constraining progress in implementation. Georgia’s
2030 Climate Change Strategy and Action Plan [27] explicitly seeks to integrate healthcare
needs into climate change adaptation and mitigation strategy. It highlights a number of respi-
ratory conditions (e.g. chronic obstructive pulmonary disease and asthma) clearly associated
with climate change and high greenhouse gas emissions. Cases of infectious and parasitic dis-
eases also doubled between 2008 and 2017, with the influence of changing climate again
implicated.
Emerging themes and strategies. Workshop participants highlighted several dynamics
characterising climate impact in the country (see Fig 3). One related to air pollution and cli-
mate change and how they influence each other through complex interactions in the atmo-
sphere and their consequences on health. Air pollution has been directly associated with
cardiovascular and pulmonary related health issues. This has received political attention and is
being recognised as a research priority with health impact assessments now underway.
Heatwaves are becoming more common in the country and are associated with increased
mortality due to cerebrovascular events, dehydration, and other health problems. Heatwaves
additionally burden health services through increased strain on water, energy, and transporta-
tion resources. High temperatures also raise the levels of ozone and other pollutants in the air
that exacerbate cardiovascular and respiratory disease. Food and livelihood security is also be
impacted when people lose their crops or livestock due to extreme heat.
Extreme weather events (such as floods) are causing coastal erosion, which impacts the live-
lihoods and mental health of people living in coastal areas; coastal erosion has also led to the
displacement of communities. Despite most of the Georgian population having access to
improved water supplies, participants added an additional pathway in relation to the availabil-
ity of water resources and sanitation, potentially at risk with projected increases in extreme
weather events. For many of these pathways of impact it was observed that risks fell dispropor-
tionally on lower-income households, and act to increase socio-economic and health inequali-
ties in the country.
In terms of adaptation, capacity building was considered to be a key requirement. In the
health sector, one participant highlighted the importance of planetary health advocacy targeted
to medical students and health professionals. Setting up multi-sectoral collaborations and a
‘whole-of-society-approach’ was viewed as essential for political progress on, and effective
implementation of, adaptation strategies. To achieve this necessary coordination across actors
and stakeholders in tackling climate change networks or institutions needed to be established
connecting civil society, non-governmental organisations and academics. In terms of practical
measures to strengthen resilience, discussion focused on the establishment of alerts and early
warning systems to protect populations from the risks of floods and poor air quality.
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Fig 3. Georgia causal loop analysis. Key pathways exacerbating threat considered in the workshop flagged in light blue; potential foci of adaptation and
resilience shown in red.
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Mozambique case study
Country profile. Mozambique is located in sub-Saharan Africa, a region exposed to gen-
erally high levels of economic and environmental risk. The OECD formally classifies Mozam-
bique as fragile, with several dimensions of fragility flagging concern, including environmental
risk [15]. Following independence from Portugal in 1975, Mozambique experienced a long-
lasting civil war which damaged the country’s infrastructure and institutions, severely limiting
the state’s capacity to provide essential services [28]. The country faces many development
challenges, including widespread poverty, low life expectancy, and wide gaps in educational
achievement. Provision of social sector services is heavily dependent upon donor contribu-
tions, which have prevented greater deterioration of wellbeing of vulnerable groups [29].
Despite sustained economic growth and improvements in socio-economic indicators in
recent years, Mozambique is still one of the poorest countries in the world [30]. Tropical
cyclones Idai and Kenneth, which hit the country in 2019, massively damaged infrastructure
and left 2.2 million people in need urgent assistance. Environmental, security and economic
risks shape both resource availability for the health system and the burden of NCD in the
country [31].
While communicable diseases (including HIV/AIDS) and maternal and neonatal condi-
tions remain the greatest contributors to disease burden, 15 of the top 22 causes of loss of
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disability-adjusted life-years (DALYs) relate to NCD, notably cardiovascular disease, neo-
plasms, unintentional injuries and mental health disorders [32].
Over two–thirds of the population live and work in rural areas. The country is endowed
with ample arable land, water, energy, as well as newly discovered natural gas and mineral
resources offshore; three, deep seaports; and a relatively large potential pool of labour. Agricul-
ture remains the pillar of Mozambique’s economy, contributing 28% of GDP and employing
over 81% of the workforce. The majority of the country’s agricultural production is through
small-scale subsistence farming, with 95% of food production is rain-fed.
Through the Ministry for Coordination of Environmental Affairs (MICOA), the Govern-
ment of Mozambique developed a national climate change strategy in 2011. This targeted
increased resilience in communities and the national economy and the promotion of low-car-
bon development and the green economy through integrating adaptation and mitigation strat-
egies across multiple sectors. The Government of Mozambique subsequently defined its
climate mitigation and adaptation commitments through Mozambique’s First Nationally
Determined Contribution (NDC 1) 2020–30, which came into force in 2018 when the country
formally became a party to the Paris Agreement [33]. WHO and the Ministry of Health devel-
oped the 2022–2025 National Health Adaption Plan for Climate Change, which reflects an
integrated and multisectoral approach. This was informed by a district-by-district health vul-
nerability and adaptation to climate change assessment [34], utilising the WHO-recom-
mended Health Vulnerability Index. This featured projections of the impact of climate change
on the incidence of malaria and diarrhoea calculated considering the scenarios of low, medium
and high emissions.
Emerging themes and strategies. Workshop participants addressed several dynamics
linking climate change and health (see Fig 4). Key threats were identified in relation to the
increased intensity and frequency of extreme weather events. Participants highlighted that
water resources were a particular focus of concern with regard to both floods (influenced by
La Niña, in the north) and droughts (by El Niño, in the south). During floods, large amounts
of water (including from neighbour countries) strained the ability of the country to effectively
manage water resources, impacting water quality and sanitation and thus population health
risk from water-borne disease. This pathway had not been identified from the literature
review. Population health was acknowledged to also be impacted by the influence of restricted
access to health services due to flooding.
Due to its low-lying topography, rising sea level is a cause of coastal erosion, impacting
both biodiversity and the livelihoods of the poor populations living in coastal zones depending
on fishing and agriculture. With respect to such populations, the quality of housing was con-
sidered an important factor in mediating the impacts of climate change. Poor housing exposed
households to much greater risks regarding health and livelihoods, and was linked to a range
of factors including migration, unplanned urbanisation and dependence on biomass fuels.
Current governance of the health system, constraints on the health workforce due to migra-
tion and damage to infrastructure due to extreme events were all contributing to greater fragil-
ity of the health system, with implications for addressing the increasing burden of both non-
communicable (including mental health) and communicable disease (including emerging
infections and chronic infectious disease such as HIV and TB).
Discussion on adaptation strategies focused particularly on issues of water management.
Monitoring and surveillance systems needed to be strengthened, particularly in the coastal
areas and to anticipate flooding. Given hydrological linkages with neighbouring countries, the
political security of water needed be addressed when designing water management strategies.
In this regard, stronger data collection and information systems would enable and support
political decision-making as well as inform locally driven strategies. Strengthening the health
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Fig 4. Mozambique causal loop analysis. Key pathways exacerbating threat considered in the workshop flagged in light blue; potential foci of adaptation and
resilience shown in red.
https://doi.org/10.1371/journal.pclm.0000184.g004
system–in terms of preparedness, capacity and resilience of infrastructure–was also identified
as a key focus for action if the impacts of climate change were to be moderated.
Lebanon case study
Country profile. Lebanon is located on the eastern basin of the Mediterranean Sea. It is a
LMIC with a population of approximately 6 million people [35]. In recent years, Lebanon has
witnessed political instability, sectarian division, economic crises and recurring civil unrest
[36] which has affected its ability to build consensus on political issues and develop equitable
and effective policies. The World Bank characterises Lebanon as exhibiting high institutional
and social fragility [15]. Even before considering the significant impacts of climate change, the
stressors experienced by the country are substantive, including the need to accommodate the
highest number of Syrian refugees per capita post 2011 [37], progressive economic collapse
precipitated by high levels of unrest and limited economic growth [38, 39], and the devastating
impacts of the August 4th 2020 explosion [40].
Lebanon struggles with an increased burden of NCD (including mental health) needs, pre-
cipitated by the fragility-related risks it has navigated over time. These have limited the coun-
try’s capacity to deliver primary care and related NCD services through its network of primary
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health centres [35, 41, 42]. Current circumstances underscore the need to identify effective
and affordable primary care-based services which can be sustainably financed by the diverse
stakeholders active in Lebanon (e.g., Ministry of Health, World Bank, and UNHCR).
Dominated by mountains, 67% of the country’s total land is arable and 24% is forest and
other wooded lands. The economy is dominated by the service sector, which contributes 45%
of the country’s GDP. Degraded sandy soils contribute to dust and sandstorms, which are haz-
ardous to both humans and livestock. Signs of water shortages are evident due to increased
demand from agriculture and industry. Weak institutional structures, policies and legislations,
limited access to new technologies, skills and technical resources all hamper Lebanon’s ability
to address the current challenges, especially in relation to water, agriculture, forests, and man-
agement of coastal areas [35].
In 2013 Lebanon identified Nationally Appropriate Mitigation Actions (NAMAs) articulat-
ing voluntary emission reduction proposals, and established working groups on the transport,
energy, waste, forestry, and industry sectors. Lebanon signed the Paris Agreement in 2016 and
submitted an update to its initial NDC in 2020 [43]. The country’s most recent WHO Health
and Climate Change Country Profile [44] particularly highlights health risks due to heat stress,
food safety and security, and water quantity and quality. Associated risks due to air pollution
are also noted, with recent data indicating annual mean PM2.5 levels for major cities over five
times greater than the WHO guideline value of 5 μg/m3.
Emerging themes and strategies. A core focus of workshop discussion was the complex
dynamics related to the environment and agricultural production which mediated between cli-
mate and health (see Fig 5). Such variables were not initially included in the CLD but were
highlighted by participants during the workshop. Harvesting of pine nuts, for example, is one
of a number of important sources of livelihood threatened by changing climatic conditions.
Irrigation to sustain horticulture through changing seasonal conditions is placing a strain on
insecure water sources. Extension of dairy and cattle farming to meet local demand for food
supply is further taxing water resources, as well as contributing to greenhouse gas emissions.
Fig 5. Lebanon causal loop analysis. Key pathways exacerbating threat considered in the workshop flagged in light blue; potential foci of adaptation and
resilience shown in red.
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All these dynamics impact population health (e.g., through food security or availability of
water) as well as upon household livelihoods and environmental conditions.
Human displacement and population pressure were other factors considered to be shaping
the dynamics of climate and health. War and conflict in the region have driven a cycle of envi-
ronmental degradation and population movement. The influx of refugees has exacerbated pres-
sure on land, urban settlements, food and water, adding to the direct impacts of climate change.
The political and economic crisis facing the country drives further dynamics eroding popula-
tion health and the capacity to moderate climate impacts. There are implications for food secu-
rity and the sustainability of agricultural production. Economic conditions are also restricting
access to vital commodities to support the operation of the health system. Together with popula-
tion displacement involving outward migration of health workers, these trends are contributing
to greater fragility of the health system, with major implications for population health.
Potential adaptation strategies addressed include strengthening sustainable agricultural
solutions (such as climate smart agriculture, agroforestry and greater use of small ruminants
such as local goats and sheep) and developing sustainable water services. Although govern-
ment policy can facilitate development, given the economic and governance challenges in the
country, local community-based initiatives were considered crucial. Conflict- and climate-
sensitive approaches were viewed as vital to sustain access to health services enabling universal
health coverage (UHC). Greater cross-sectoral collaboration is required to ensure public health
safety and disaster risk reduction are integrated into national health plans.
Costa Rica case study
Country profile. Costa Rica, situated between Nicaragua and Panama, has moderate pov-
erty rates in comparison with other states within Latin America and the Caribbean. However,
fiscal challenges and increasing income inequality are persistent pressing issues [45], with the
Fragile State Index (FSI) noting escalating concerns on issues of security and resource distribu-
tion [15]. The country is characterised by high rates of migration from across Central America,
being one of the top ten countries in the world to receive asylum requests [46]. Evidence from
2015 suggests that the average disposable income of the 10% richest households was 32 times
higher than that of the poorest 10% (c.f. OECD average of 9.6) [47].
The threat of economic recession leaves the Costa Rican population open to health-related
risk. While UHC is formally guaranteed, more than one-third of the assets of the Caja Costar-
ricense de Seguro Social (social security and health insurance agency) are owed to it by the State
[48], itself struggling to raise revenues given rapid increases in unemployment, informal
employment [49] and effects of COVID-19. The country’s disease profile is dominated by a
high NCD burden, typically addressed by high-cost treatments at the level of secondary care.
The country has a varied topography that includes coastal plains separated by rugged
mountains, including over 100 volcanic cones. Even though Costa Rica constitutes less than
0.05 percent of the total Earth surface, its habitats represent around 5 percent of the planet’s
biodiversity. Costa Rica is known worldwide for its conservation efforts and is a ‘hot spot’ for
eco-tourism, with more than 26 percent of its land under protection.
However, due to a combination of geographic and economic factors, Costa Rica is highly
vulnerable to extreme climate events and natural hazards. Part of this vulnerability is a result
of the presence of populations in areas prone to volcanic eruptions and in unstable lands,
degraded by widespread cattle ranching, or in poorly planned settlements prone to landslides
and flooding. Costa Rica’s National Climate Change Strategy (ENCC) and its Plan of Action,
as well as advances in the Framework Law on Climate Change, frame policy objectives in this
area. The ENCC prioritizes action on mitigation, adaptation, technology, education and
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Fig 6. Costa Rica causal loop analysis. Key pathways exacerbating threat considered in the workshop flagged in light blue; potential foci of adaptation and
resilience shown in red.
https://doi.org/10.1371/journal.pclm.0000184.g006
finance with the goal to integrate climate change policy with the long-term competitiveness of
the country and a strategy of sustainable development. The National Adaptation Policy (2018–
2030), the National Decarbonization Plan (2018–2050), and the country’s NDC [50] all affirm
the country priorities and commitment to tackle climate change. The National Adaptation
Plan to Climate Change 2022–2026 [51] makes a clear reference to the links between climate
change and health, noting marked increases in the prevalence of infectious diseases such as
Zika, malaria, dengue, and chikungunya. It also emphasises the increasing vulnerabilities of
indigenous communities, women, and the elderly to climate change stressors.
Emerging themes and strategies. With important changes in patterns of rainfall, a major
focus of discussion amongst participants were the dynamics influencing water resources,
whether directly through droughts, floods and salinization of aquifers or indirectly through
the impact of forestry and agricultural practices (see Fig 6). A lack of safe water was seen as
impacting economic growth (due to water cuts and rationing) and as a major contribution to
compromised hygiene and increased risk of diarrhoeal disease. Floods contaminate freshwater
supplies, heighten the risk of water-borne diseases, and create breeding grounds for disease
vectors, for many of which climate change was lengthening the transmission season and geo-
graphic range.
Another major focus of discussion was the role of settlement on marginal land, poorly
planned settlements and, more broadly, poverty and inequality on mediating the influences of
climate change. Areas where there was significant population pressure on land and public
infrastructure had poorer access to public services, which data confirmed affected both health
and educational outcomes. These variables and associated pathways were elaborated during
the workshop. Economic development which addressed deep inequalities was viewed as
important to confront these sources of vulnerability.
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Potential adaptation strategies discussed included the need to tackle the direct impacts of
climate change via surveillance, monitoring and early warning systems. Strengthened social
security strategies were considered of significance in reducing the multiple risks linked to pov-
erty. Health systems need to expand traditional systems of healthcare delivery by integrating
climate change considerations (e.g. control of climate-sensitive diseases), improving manage-
ment of environmental determinants of health (such as water and sanitation, nutrition, and air
quality), and establish emergency preparedness plans for extreme events. Urban and housing
planning in marginal lands, coastal or flood-risk areas was also considered a key area of
intervention.
Integrative analysis. Causal loop analysis identified complex dynamics reflecting the
unique characteristics of each setting. Modelling served a valuable function in collating evi-
dence from multiple sources, convening consultations from researchers of varied disciplines,
and identifying actions—and interactions—of relevance across multiple sectors. This approach
to mapping the linkage of climate change, health, and other human systems such as agricul-
ture, settlement, and livelihoods is thus perhaps best suited to local, contextual engagement of
actors in identifying key leverage points for adaption strategy. However, while the causal loop
analyses across these four settings reflect the unique characteristics of each setting, they also
suggest some dynamics that are shared across these contexts.
The causal loop diagram (Fig 7) seeks to represent some of the recurrent features from the
country system dynamics. In all settings, mean temperature rise is leading to an increased fre-
quent and intensity of extreme weather events that–whether through the means of floods,
droughts, heatwaves etc.–expose populations to health risks. These risks exacerbate disease
Fig 7. Causal loop diagram showing common dynamics across the four settings. Key foci of adaptation strategy indicated in red.
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burden and undermine population health. This pathway of climate impact on population
health is complemented by a pathway mediated by loss of agricultural production and reduced
food security. Additional dynamics influencing the degree of impact of climate change are
commonly mediated by the economic livelihoods of communities; migration (often related to
conflict) and the resulting pressures on housing and infrastructure; and access to quality
healthcare.
There may–as illustrated in the country case studies—be multiple factors linking these path-
ways, and this figure is not presented as an exhaustive analysis. Such interlinkage may be cru-
cial in determining appropriate foci for local adaptation policy and practice (e.g. impact of
government investment in healthcare on functional service access). However, the pathways
highlighted in Fig 7 serve to signal broad classes of adaptation strategy operating with respect
to factors highlighted in this integrative analysis.
The five strategies are focused on i) early warning/preparedness regarding extreme events
(thus mitigating exposure to risk); ii) adapted agricultural practices (to sustain food security
and community livelihoods in changing environmental conditions); iii) urban planning (to
strengthen the quality of housing and infrastructure and thus reduce population exposure to
risks); iv) health systems resilience (to maintain access to quality healthcare both for the treat-
ment of disease associated with increased risk exposure and for other conditions for which
access may be disrupted by extreme events); and v) social security (supporting the livelihoods
of communities vulnerable through the impact of climate change or otherwise) enabling their
access to public services, including healthcare.
Identification of key leverage points for intervention within a complex system of interac-
tions is a valuable outcome of system dynamics analyses and an increasingly important focus
of inter-disciplinary research focus [13, 52].
Discussion
Climate change represents a significant threat globally, but particularly for LMIC and fragile
settings. Linkages with health are increasingly recognised and becoming prioritised in the
global health agenda [53]. While the Sharm-El-Sheikh Adaptation Agenda [12] does not list
health as one of the ‘impact systems’ targeted for adaptation, its recognition of the importance
that ‘actors across several sectors see . . . their actions and progress mutually reinforce to over-
come obstacles, break silos, enhance synergies and create catalytic action’ has clear implica-
tions for acknowledging the linkage of climate, health and other human systems. Indeed, the
analyses presented illustrate how the ‘impact systems’ defined within the Sharm-El-Sheikh
Adaptation Agenda –food and agriculture; water and nature; human settlement; coastal and
ocean systems; infrastructure; planning; and finance–in practice richly interact with each
other in shaping well-being.
This research thus aimed to contribute to understanding by providing country specific
findings and recommendation and by developing further the adoption of system thinking
methodologies for use for climate and health research. We used a case study approach based
on system dynamic modelling to identify adaptation strategies in four settings that present dif-
ferent fragility features. The aim is ultimately to sustain the development of climate-resilient
health systems, in line with the WHO operational framework [54]. The findings also speak
directly to the interventions outlined in the WHO guidance for climate resilient and environ-
mentally sustainable healthcare facilities [55] in providing evidence of the amplification of
impacts through the interconnectedness of the challenges. This not only informs adaptation
and mitigation measures required but also signals the co-benefits of investments in, for exam-
ple, solar power, where transition from fossil fuels reduces carbon emissions, mitigates the
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destabilising effects of energy systems facing outages because of adverse climate events, and
reduces health risks through cleaner air.
The causal loop diagrams presented in this paper act as useful starting points to identify fra-
gility and leverage points that can support the policy development process. The use of system
thinking has been recognised to be a key element to unpack climate change and build resilient
health systems. Systems thinking, which stems from complexity theory, analyses the interac-
tions between systems’ components to explain how and why they give rise to observed system
outcomes and behaviours [56]. System thinking is particularly useful to support multi-sectoral
collaboration through a shared understanding of the nexus between climate change and health
and to foster political action by identifying effective strategies. For instance, the four models
developed for this study highlighted the need to build surveillance and early warning systems.
Key steps to reach these goals would include establishing key indicators [57], such as the ones
suggested by The Lancet Countdown on health and climate change (e.g., risk exposures, vul-
nerability factors, adaptation, planning, and resilience; mitigation and health co-benefits; eco-
nomics; and political engagement) [58]. In this regard, risk assessment and health impact
assessments should be integrated in routine assessments to quantify climate-driven health
impacts. A system thinking approach to climate change and its impact on health is well suited
to support health in all policy (HiAP) approach. HiAP is required to develop a comprehensive
response to the risks presented by short-term climate variability and long-term climate change
[59] and to define the health components of National Health Adaptation Plans (NHAPs)
under the UN Framework Convention on Climate Change (UNFCCC). By identifying vulner-
abilities in the health system as well as opportunities to increase the resilience of health systems
to climate change, countries will be making important steps to achieve Universal Health Care
(UHC). Climate-driven health outcomes should be included in the essential health services
coverage by way of workforce training on climate–health relationships, financing, and increas-
ing resilience of health care service delivery which may be disrupted during climate-related
events (e.g., storms, and flooding). These can bolster UHC to address context-specific climate-
driven health effects that are already being experienced and expected to worsen over time.
Overall, more research and action are required to avoid the effects of climate change aggra-
vating even further global health inequalities. A more profound question of justice is at play,
whereby climate change interacts with existing social and economic disparities and exacerbates
longstanding trends within and between countries. Finally, it is essential to incorporate differ-
ent types of knowledge and an indigenous lens into the conceptualisation and implementation
of planetary health [60].
Limitations
To our knowledge, this is the first study that presented country case studies on the link
between climate change and health using system thinking. Even though we used a robust
methodological approach, some limitations need to be noted. Given the qualitative nature of
the approach, we acknowledge that researcher perspectives may have influenced the work and
findings; however, researchers from diverse backgrounds and from local contexts collaborated
on the synthesis of the CLDs, bringing in diverse positions and perspectives.
Conclusions
Our research highlights five important lessons. First, system dynamics modelling methods,
such as participatory group model building, provide a useful mechanism for convening actors
across multiple sectors to consider the development of adaptation strategies. Consultations at
national and local levels using approaches informed by systems dynamics should be used to
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identify linkages that can promote–or, unattended, would undermine—coherent, cross-sec-
toral action in support of adaptation.
Second, in line with the OECD multi-dimensional analysis of fragility [61], climate-related
environmental risks need to be increasingly factored into appraisal of state and regional fragil-
ity, alongside issues of security and social, economic and political risks.
Third, our modelling has highlighted how pathways of impact of climate change can dis-
proportionally affect those with lower household incomes, exacerbating inequalities. Adapta-
tion strategies need to consider a priori investments which prioritise social security of
vulnerable communities and populations.
Fourth, strategies focused on strengthening health systems resilience need to consider the
relevant influences not only of national preparedness and early warning systems, but also of
evolving agricultural (and wider livelihood) practices and patterns of settlement.
Finally, fifth, effective data monitoring systems need to be prioritised at national level to
integrate information from all relevant sectors, with datasets and analyses shared across all
ministries.
We consider these lessons to have important implications for conceptualizing adaptation
both nationally and globally. In terms of the former, we have shared findings with governmen-
tal partners regarding national climate adaptation strategy and, in Mozambique, are working
with the National Institute for Health on a major prospective study of community adaptation
measures in three locations at particular risk for extreme weather events. In terms of the latter,
the lessons have been shared in a range of fora, ranging from fringe meetings in the context of
CoP26 in Scotland to the multi-stakeholder policy forum of the 2023 Prince Mahidol Award
Conference in Bangkok focused on ‘Setting a New Health Agenda: at the Nexus of Climate
Change, Environment and Biodiversity’. By such means we aim for findings to foster the adop-
tion of systems thinking in the formulation of adaptation strategies reflecting the dynamic
linkages between climate change, health, and other human systems.
Supporting information
S1 Table. Search terms and inclusion criteria for literature review.
(DOCX)
S2 Table. Extraction template/matrix for literature review.
(DOCX)
S3 Table. List of included studies.
(DOCX)
Acknowledgments
We are deeply grateful to our workshops participants who provided their knowledge, time and
expertise to develop the case studies. These include: Dr Maia Uchaneishvili, Research Unit
Director, Curatio International Foundation; Dr Nia Giuashvili, Environmental Health Expert,
Advisor of the National Center for Disease Control and Public Health General Director on
Environmental Health; Dr Mariam Maglakelidze, Head, Department of Institutional Culture
Development, Petre Shotadze Tbilisi Medical Academy; Affiliate Scholar, Institute for
Advanced Sustainability Studies, Potsdam, Germany; Ina Girard, Climate Change and Human
Health Expert, WHO Focal Point on the Environmental Health Issues at the National Environ-
mental Agency; Dr Tamar Kashibadze, Public Health Specialist, NCD Department, National
Center for Disease Control and Public Health; Dr Tatiana Marrufo, Instituto Nacional de
Sau´de (INS), National Health Observatory Technical Secretariat, Program Lead of
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Environmental Health; Dr Fady Asmar, Forestry Expert, Lebanon; D.E.A. Pascal Girot, Head
of the School of Geography, Universidad de Costa Rica; Dr Valeria Lentini, Lecturer, School of
Economics, Universidad de Costa Rica; Dr Juan Robalino, Head of the Economics Research
Institute, Universidad de Costa Rica; Dr Yanira Xirinachs-Salazar, Associate Professor, School
of Economics, Universidad de Costa Rica; and Dr Paola Zu´ñiga-Brenes, Associate Professor,
School of Economics, Universidad de Costa Rica.
Author Contributions
Conceptualization: Giulia Loffreda, Liz Grant, Alastair Ager.
Data curation: Giulia Loffreda, Ivdity Chikovani, Ana O. Mocumbi, Michele Kosremelli
Asmar, Laura C. Blanco.
Formal analysis: Giulia Loffreda, Alastair Ager.
Funding acquisition: Liz Grant, Alastair Ager.
Investigation: Giulia Loffreda, Ivdity Chikovani, Ana O. Mocumbi, Michele Kosremelli
Asmar, Laura C. Blanco, Alastair Ager.
Methodology: Giulia Loffreda, Alastair Ager.
Project administration: Alastair Ager.
Resources: Ivdity Chikovani, Ana O. Mocumbi, Michele Kosremelli Asmar, Laura C. Blanco.
Software: Giulia Loffreda.
Supervision: Alastair Ager.
Validation: Ivdity Chikovani, Ana O. Mocumbi, Michele Kosremelli Asmar, Laura C. Blanco.
Writing – original draft: Giulia Loffreda.
Writing – review & editing: Giulia Loffreda, Ivdity Chikovani, Ana O. Mocumbi, Michele
Kosremelli Asmar, Laura C. Blanco, Liz Grant, Alastair Ager.
References
1. United Nations Framework Convention on Climate Change. Copenhagen Accord. 2009. Available from:
https://unfccc.int/resource/docs/2009/cop15/eng/l07.pdf
2. World Meteorological Organisation. State of the Climate in Africa. Avail. 2020. Available from: https://
library.wmo.int/doc_num.php?explnum_id=10421
3. Whitmee S, Haines A, Beyrer C, Boltz A., Capon A G, de Souza Dias B F et al. Safeguarding human
health in the anthropocene epoch: Report of The Rockefeller Foundation–Lancet Commission on Plan-
etary Health. Lancet, 2015; 386:1973–2028 https://doi.org/10.1016/S0140-6736(15)60901-1 PMID:
26188744
4. Berry H L, Waite T D, Dear K B G., Capon A G and Murray V. The case for systems thinking about cli-
mate change and mental health. Nature Climate Change. 2018; 8, 282–290. https://doi.org/10.1038/
s41558-018-0102-4
5. Romanello M., Di Napoli C, Drummond P, Green C, Kennard H, Lampard P, et al. The 2022 report of
the Lancet Countdown on health and climate change: health at the mercy of fossil fuels. Lancet, 2022;
400:1619–1654. https://doi.org/10.1016/S0140-6736(22)01540-9 PMID: 36306815
6. European Observatory on Health Systems and Policies, Thomas S, Sagan A, Larkin J, Cylus J. et al.
Strengthening health systems resilience: key concepts and strategies. World Health Organization,
Regional Office for Europe. 2020. Available from: https://apps.who.int/iris/handle/10665/332441
7. El-Sayed A M and Galea S Systems Science and Population Health. OUP: Oxford; 2017.
8.
Jamal Z, Alameddine M, Diaconu K, Lough G, Witter S, Ager A et al. Health system resilience in the
face of crisis: analysing the challenges, strategies and capacities for UNRWA in Syria, Health Policy
and Planning, 2020; 35 (1), 26–35. https://doi.org/10.1093/heapol/czz129 PMID: 31625558
PLOS Climate | https://doi.org/10.1371/journal.pclm.0000184 April 19, 2023
17 / 20
PLOS CLIMATEInforming adaptation strategy through mapping the dynamics of linked systems
9. Blanchet K, Nam SL, Ramalingam B, Pozo-Martin F. Governance and Capacity to Manage Resilience
of Health Systems: Towards a New Conceptual Framework. Int J Health Policy Manag. 2017; 6
(8):431–435. https://doi.org/10.15171/ijhpm.2017.36 PMID: 28812842; PMCID: PMC5553211.
10. Guzma´n CAF, Aguirre AA, Astle B, Barros E, Bayles B, Chimbari M, et al. A framework to guide plane-
tary health education. Lancet Planet Health. 2021 May; 5(5):e253–e255. https://doi.org/10.1016/
S2542-5196(21)00110-8 Epub 2021 Apr 21. PMID: 33894134.
11. UNFCCC Report of the Conference of the Parties serving as the meeting of the Parties to the Paris
Agreement on its third session, held in Glasgow from 31 October to 13 November 2021. Available from:
https://unfccc.int/sites/default/files/resource/cma2021_10_add1_adv.pdf
12. Sharm-El-Sheikh Adaptation Agenda: The global transformations towards adaptive and resilient devel-
opment. 2022. Available from: https://climatechampions.unfccc.int/wp-content/uploads/2022/11/SeS-
Adaptation-Agenda_Complete-Report-COP27_FINAL-1.pdf
13. Proust K, Newell B, Brown H, Capon A, Browne C, Burton A, et al. Human health and climate change:
leverage points for adaptation in urban environments. Int J Environ Res Public Health. 2012; 9
(6):2134–58. https://doi.org/10.3390/ijerph9062134 Epub 2012 Jun 6. PMID: 22829795; PMCID:
PMC3397369.
14. Ager A, Saleh S, Wurie H, Witter S. Health systems research in fragile settings. WHO Bulletin, 2020,
https://doi.org/http%3A//dx.doi.org/10.2471/BLT.19.233965 PMID: 31210671
15. OECD. States of Fragility 2022. OECD Publishing, Paris, 2022. Available from: https://doi.org/10.1787/
c7fedf5e-en
16. De Garine-Wichatitsky M, Binot A, Ward J, Caron A, Perrotton A, Ross H, et al. “Health in” and “Health
of” Social-Ecological Systems: A Practical Framework for the Management of Healthy and Resilient
Agricultural and Natural Ecosystems. Front. Public Health 2021; 8:616328. https://doi.org/10.3389/
fpubh.2020.616328 PMID: 33585387
17. Benjaminsen T A, Svarstad H. Political ecology. In: Encyclopedia of Ecology, 2nd ed. Volume 4. Else-
vier; 2019.
18. United Nations Climate Change. Introduction to Gender and Climate Change. UNFCCC; 2020. Avail-
able from: https://unfccc.int/gender
19. Markedonov, Sergey M., and Suchkov M. A. Russia and the United States in the Caucasus: cooperation
and competition. Caucasus Survey. 2020; 8.2: 179–195. https://doi.org/10.1080/23761199.2020.
1732101
20. Rukhadze T. An overview of the health care system in Georgia: expert recommendations in the context
of predictive, preventive and personalised medicine. EPMA J. 2013; 4(1):8. https://doi.org/10.1186/
1878-5085-4-8 PMID: 23442219; PMCID: PMC3621519.
21.
The Fund for Peace. Fragile States Index Report. 2021. Available from: https://fragilestatesindex.org/
wp-content/uploads/2021/05/fsi2021-report.pdf
22. World Health Organization. Regional Office for Europe, European Observatory on Health Systems and
Policies. Georgia: health system review. World Health Organization. Regional Office for Europe, 2017.
23. World Health Organization. Regional Office for Europe, European Observatory on Health Systems and
Policies, Gamkrelidze A, Atun R, Gotsadze G. et al. Health care systems in transition: Georgia. WHO,
Regional Office for Europe; 2002. Available from: https://apps.who.int/iris/handle/10665/107402
24. Goginashvili K, Nadareishvili M, Habicht T. Can people afford to pay for health care? New evidence on
financial protection in Georgia. Copenhagen: WHO Regional Office for Europe; 2021.
25. USAID. Climate risk profile Georgia, Factsheet, 2017. Available from: https://www.climatelinks.org/
sites/default/files/asset/document/2017_USAID%20ATLAS_Climate%20Change%20Risk%20Profile
%20-%20Georgia.pdf
26.
Fourth National Communication of Georgia under the UNFCCC, 2021. Available from: https://unfccc.
int/sites/default/files/resource/4%20Final%20Report%20-%20English%202020%2030.03_0.pdf
27. Georgia’s 2030 Climate Change Strategy and Action Plan. Government of Georgia. Available from:
https://mepa.gov.ge/En/Files/ViewFile/50123
28. Batley R, Bjørnestad L, Cumbi A. Joint Evaluation of General Budget Support 1994–2004: Mozambique
Country Report. International Development Department School of Public Policy University of Birming-
ham. 2006. Available from: https://www.oecd.org/countries/mozambique/43867765.pdf
29. Anselmi L, Lagarde M, Hanson K. Health service availability and health seeking behaviour in resource
poor settings: evidence from Mozambique. Health Econ Rev. 2015; 5(1):62. https://doi.org/10.1186/
s13561-015-0062-6 Epub 2015 Sep 2. PMID: 26329425; PMCID: PMC4556719.
30. World Bank. The World Bank in Mozambique [Internet] Accessed 24 June 2022. Available from: https://
www.worldbank.org/en/country/mozambique/overview
PLOS Climate | https://doi.org/10.1371/journal.pclm.0000184 April 19, 2023
18 / 20
PLOS CLIMATEInforming adaptation strategy through mapping the dynamics of linked systems
31. Bukhman G, Mocumbi AO, Atun R, Becker AE, Bhutta Z, Binagwaho A et al. Lancet NCDI Poverty
Commission Study Group. The Lancet NCDI Poverty Commission: bridging a gap in universal health
coverage for the poorest billion. Lancet. 2020; 3; 396(10256):991–1044. https://doi.org/10.1016/
S0140-6736(20)31907-3 Epub 2020 Sep 14. PMID: 32941823; PMCID: PMC7489932.
32. Mozambique. [internet] Institute for Health Metrics and Evaluation, Global Burden of Disease. Accessed
10 November 2022. Available from https://www.healthdata.org/mozambique
33. Update of the First Nationally Determined Contribution to the United Nations Framework Convention on
Climate Change Mozambique Period: 2020–2025. Republic of Mozambique. 2021. Available from
https://unfccc.int/sites/default/files/NDC/2022-06/NDC_EN_Final.pdf
34. Clim-Health Africa. Health vulnerability and adaptation to climate change assessment conducted in
Mozambique. May 2020. Available from: https://climhealthafrica.org/news-mozambique-vulnerability-
and-adaptation-assessment
35. World Health Organization and the United Nations Framework Convention on Climate Change. Leba-
non Health and Climate Change Country Profile. WHO/UNFCCC, 2021.
36. Government of Lebanon and United Nations, Lebanon Crisis Response Plan 2017–2020: 2020 Update.
Available from: https://lebanon.un.org/sites/default/files/2021-02/LCRP2020%20update_EN_Full_
180122-035824.pdf
37. United Nation Refugee Agency (UNHCR). UNHCR Global Appeal, 2015 Update. Available from:
https://www.unhcr.org/uk/publications/fundraising/5461e5ec3c/unhcr-global-appeal-2015-update-
populations-concern-unhcr.html
38. Masri S., Srour I. Assessment of the impact of Syrian refugees in Lebanon and their employment profile.
International Labour Organization. Geneva, 2014. Available from: https://www.ilo.org/beirut/
publications/WCMS_240134/lang—en/index.htm
39. Situation Syria Regional Refugee Response [internet] United Nation Refugee Agency (UNHCR).
Accessed: 16 August 2021. Available from: https://data.unhcr.org/en/situations/syria
40. Devi S. Lebanon faces humanitarian emergency after blast. Lancet. 2020; 396(10249): 456. https://doi.
org/10.1016/S0140-6736(20)31750-5 PMID: 32798477
41. Naja F., Shatila H., El Koussa M, Lokman M, Ghandour L, Saleh S. Burden of non-communicable dis-
eases among Syrian refugees: a scoping review. BMC Public Health, 2019; 19, 637. https://doi.org/10.
1186/s12889-019-6977-9 PMID: 31126261
42. Noubani A, Diaconu K, Loffreda G, et al. Readiness to deliver person-focused care in a fragile situation:
the case of Mental Health Services in Lebanon. Int J Ment Health Syst. 2021 15, 21. https://doi.org/10.
1186/s13033-021-00446-2 PMID: 33653392
43.
44.
Lebanon’s Nationally Determined Contribution Updated 2020 Version. Government of Lebanon; 2020.
Lebanon: WHO Health and Climate Change Country Profile 2021. WHO/UNFCCC; 2021. Available
from: https://www.who.int/publications/i/item/WHO-HEP-ECH-CCH-21.01.09
45. Costa Rica [Internet] The World Bank. Accessed 10 November 2022. Available from: https://data.
worldbank.org/country/CR
46. Costa Rica. [Internet] United Nations Refugee Agency (UNHCR). Accessed 10 November 2022. Avail-
able from: https://www.unhcr.org/uk/costa-rica.html
47. OECD Costa Rica Policy Brief: Inequity. February 2016. Available from: https://www.oecd.org/policy-
briefs/costa-rica-towards-a-more-inclusive-society.pdf
48. Caja Costarricense de Seguro Social. Estados financieros: Seguro de salud, San Jose´: CCSS. Geren-
cia Financiera; 2020.
49. National Institute of Statistics and Census. Continuous Survey on Employment for the first quarter of
2020. General Results. San Jose´ : INEC; 2020.
50. Contribucio´ n Nacionalmente Determinada de Costa Rica. [Internet] Accessed 10 November 2022.
Available: https://cambioclimatico.go.cr/contribucion-nacionalmente-determinada-ndc-de-costa-rica/
51. Direccio´ n de Cambio Clima´ tico; Ministerio de Ambiente y Energı´a. Plan Nacional de Adaptacio´ n al
Cambio Clima´ tico de Costa Rica, 2022–2026. San Jose´ , Costa Rica, 2022.
52. Schnitter R. and Berry P. The Climate Change, Food Security and Human Health Nexus in Canada: A
Framework to Protect Population Health. International Journal of Environmental Research and Public
Health 16(14):2531. https://doi.org/10.3390/ijerph16142531 PMID: 31315172
53.
The 2022 Global Report of the Lancet Countdown: Tracking Progress on Health and Climate Change.
Available from: https://www.lancetcountdown.org/2022-report/
54. Operational framework for building climate resilient health systems, WHO, 2015. Available from: https://
www.who.int/publications/i/item/9789241565073
PLOS Climate | https://doi.org/10.1371/journal.pclm.0000184 April 19, 2023
19 / 20
PLOS CLIMATEInforming adaptation strategy through mapping the dynamics of linked systems
55. WHO guidance for climate-resilient and environmentally sustainable health care facilities. Geneva:
World Health Organization, 2020.
56. Kwamie A, Ha S, Ghaffar A. Applied systems thinking: unlocking theory, evidence and practice for
health policy and systems research, Health Policy and Planning. 2021; 36 (10), 1715–1717. https://doi.
org/10.1093/heapol/czab062 PMID: 34131699
57. World Health Organization. WHO Guidance to Protect Health from Climate Change through Health
Adaptation Planning; World Health Organization: Geneva, Switzerland, 2015.
58. Watts N, Amann M, Arnell N, Ayeb-Karlsson S, Beagley J. Belesova K. et al. The 2020 report of The
Lancet Countdown on health and climate change: Responding to converging crises. Lancet 2020, 396,
129–170.
59. Pongsiri M J and Bassi A M. A Systems understanding underpins actions at the climate and health
nexus. Int. J. Environ. Res. Public Health 2021, 18, 2398. https://doi.org/10.3390/ijerph18052398
PMID: 33804531
60. Redvers N, Celidwen Y, Schultz C, Horn O, Githaiga C, Vera M et al. The determinants of planetary
health: an Indigenous consensus perspective. Lancet Planet Health. 2022 Feb; 6(2):e156–e163.
https://doi.org/10.1016/S2542-5196(21)00354-5 PMID: 35150624.
61. Diaconu K, Falconer J, Vidal N, O’May F, Azasi E, Elimian K et al. Understanding fragility: implications
for global health research and practice, Health Policy and Planning, 2020; 35 (2) 235–243. https://doi.
org/10.1093/heapol/czz142 PMID: 31821487
PLOS Climate | https://doi.org/10.1371/journal.pclm.0000184 April 19, 2023
20 / 20
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10.1186_s12917-019-2170-8.pdf
|
Availability of data and materials
The datasets used and/or analyzed during the current study are available
from the corresponding author on reasonable request.
|
Availability of data and materials The datasets used and/or analyzed during the current study are available from the corresponding author on reasonable request.
|
Sirikaew et al. BMC Veterinary Research (2019) 15:419
https://doi.org/10.1186/s12917-019-2170-8
R E S E A R C H A R T I C L E
Open Access
Proinflammatory cytokines and
lipopolysaccharides up regulate MMP-3 and
MMP-13 production in Asian elephant
(Elephas maximus) chondrocytes:
attenuation by anti-arthritic agents
Nutnicha Sirikaew1, Siriwadee Chomdej2, Siriwan Tangyuenyong3, Weerapongse Tangjitjaroen3,
Chaleamchat Somgird3, Chatchote Thitaram3 and Siriwan Ongchai1*
Abstract
Background: Osteoarthritis (OA), the most common form of arthritic disease, results from destruction of joint
cartilage and underlying bone. It affects animals, including Asian elephants (Elephas maximus) in captivity, leading
to joint pain and lameness. However, publications regarding OA pathogenesis in this animal are still limited.
Therefore, this study aimed to investigate the effect of proinflammatory cytokines, including interleukin-1 beta (IL-
1β), IL-17A, tumor necrosis factor-alpha (TNF-α), and oncostatin M (OSM), known mediators of OA pathogenesis,
and lipopolysaccharides on the expression of cartilaginous degrading enzymes, matrix metalloproteinase (MMP)-3
and MMP-13, in elephant articular chondrocytes (ELACs) cultures. Anti-arthritic drugs and the active compounds of
herbal plants were tested for their potential attenuation against overproduction of these enzymes.
Results: Among the used cytokines, OSM showed the highest activation of MMP3 and MMP13 expression,
especially when combined with IL-1β. The combination of IL-1β and OSM was found to activate phosphorylation of
the mitogen-activated protein kinase (MAPK) pathway in ELACs. Lipopolysaccharides or cytokine-induced
expressions were suppressed by pharmacologic agents used to treat OA, including dexamethasone, indomethacin,
etoricoxib, and diacerein, and by three natural compounds, sesamin, andrographolide, and vanillylacetone.
Conclusions: Our results revealed the cellular mechanisms underlying OA in elephant chondrocytes, which is
triggered by proinflammatory cytokines or lipopolysaccharides and suppressed by common pharmacological or
natural medications used to treat human OA. These results provide a more basic understanding of the
pathogenesis of elephant OA, which could be useful for adequate medical treatment of OA in this animal.
Keywords: Elephas maximus, Osteoarthritis, Proinflammatory cytokines, MMP-3, MMP-13
* Correspondence: siriwan.ongchai@cmu.ac.th
1Thailand Excellence Center for Tissue Engineering and Stem Cells,
Department of Biochemistry, Faculty of Medicine, Chiang Mai University, 110
Intrawarorot Rd., Chiang Mai 50200, Thailand
Full list of author information is available at the end of the article
© The Author(s). 2019 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0
International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and
reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to
the Creative Commons license, and indicate if changes were made. The Creative Commons Public Domain Dedication waiver
(http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.
Sirikaew et al. BMC Veterinary Research (2019) 15:419
Page 2 of 13
Background
Osteoarthritis (OA), the most prevalent arthritic disease,
is characterized by cartilage degradation and consequent
joint pain and disability [1, 2]. OA affects many species,
including elephants, especially Asian elephants (Elephas
maximus) kept in captivity. Excessive body weight along
with the captive environment and trained behaviors are
critical factors of OA pathogenesis in elephants [3, 4].
These factors disturb the equilibrium between the syn-
thesis and degradation of the extracellular matrix (ECM)
by chondrocytes, leading to further degradation of the
ECM by matrix-degrading enzymes, especially matrix
metalloproteinases (MMPs) [5]. The disturbance of this
equilibrium is found particularly among captive ele-
phants [6].
MMPs are a group of zinc-dependent endopeptidases
that, when in excess, cause degeneration of the cartilage
ECM. There has been a reported increase in MMP-3
and MMP-13 in humans and animals with OA, suggest-
ing that these MMPs play a pivotal role in OA cartilage
destruction [7–10]. It has previously been shown that
the production of matrix-degrading enzymes is activated
by proinflammatory cytokines,
including interleukin-1
beta (IL-1β), IL-17A, tumor necrosis factor-alpha (TNF-
α), and oncostatin M (OSM) [11–14]. In addition, the
combination of OSM with other proinflammatory cyto-
kines causes the greatest loss of cartilage matrix in OA
[15–17]. Moreover, lipopolysaccharides (LPS), i.e., outer-
membrane components of Gram-negative bacteria, con-
tribute to septic arthritis and cartilage degeneration by
upregulating the synthesis of catabolic factors, including
proinflammatory cytokines and matrix-degrading en-
zymes [18, 19]. In OA pathogenesis, cytokine-induced
signal
transduction involves the activation of several
pathways, including those of the mitogen-activated pro-
tein kinase (MAPK) family [20].
OA in elephants is caused by an imbalance of pressure
on joints, which in turn is caused by a lack of exercise or
an excessive body weight. This damages the cartilage,
releasing inflammatory mediators and enzymes and,
consequently, leading to joint inflammation. Affected el-
ephants show signs of lameness and joint swelling and
are reluctant to lay down because it will be difficult to
stand up again. Swimming in a big pool to reduce weight
bearing and administration of anti-inflammatory drugs
are considered suitable treatments [21].
Current pharmacologic approaches for OA treatment
aim at reducing inflammation and pain, improving joint
function, and delaying disease progression. Commonly
used medicines include steroids, non-steroidal anti-
inflammatory drugs (NSAIDs), and disease-modifying
OA drugs (DMOADs) [22], among which the most com-
mon agents are dexamethasone,
indomethacin, etori-
coxib, and diacerein, which have been shown to inhibit
the expression of MMPs such as MMP1, MMP2, MMP3,
MMP9, and MMP13 [23–26]. However, these substances
are associated with a high incidence of adverse effects,
including gastrointestinal damage and heart failure [27].
Thus, natural product-derived compounds with anti-
inflammatory activity and low toxicity have become
alternative treatments for OA. Among such compounds,
sesamin, andrographolide, and vanillylacetone or zinger-
one have been reported to exhibit chondroprotective
activity by inhibiting the expression of MMP1, MMP3,
and MMP13 in chondrocytes [28–30].
It was reported that IL-1β stimulated the degradation
of elephant cartilage in an explant culture model [31].
However,
the existence of published studies on the
cellular mechanisms of OA in elephants is limited.
Therefore, the present study aimed to investigate the
molecular mechanisms underlying the activation of ex-
pression of MMP-3 and MMP-13 by proinflammatory
cytokines and LPS in elephant articular chondrocytes
(ELACs). Additionally, the ability of commonly used
anti-OA medications and natural compounds to inhibit
these mechanisms was investigated. The information
gained from this study will be useful in improving the
treatment of elephants with OA and in supporting fur-
ther research on elephant degenerative arthritis, both of
which are important for a better quality of life for the el-
ephants and contribute to vital elephant conservation.
Results
Proinflammatory cytokines induced upregulation of
MMP3 and MMP13 expression in ELACs culture
Treatment with OSM alone resulted in a slight increase
in MMP3 mRNA levels and a marked elevation of
MMP13 levels. However, IL-1β, IL-17A, and TNF-α did
not influence the expression of these genes in the mono-
layer culture model (Fig. 1). The combination of cyto-
kines OSM and TNF-α significantly induced MMP13
expression, whereas the combination of OSM and IL-1β
or IL-17A tended to induce MMP3 expression. In the
pellet culture model (Fig. 2), the results of individual
cytokine treatments show that only TNF-α could signifi-
cantly activate the expression of MMP13. Meanwhile,
the results of treatments with combined cytokines dem-
onstrate that OSM combined with IL-1β dramatically in-
creased the expression of both MMP3 and MMP13,
whereas OSM combined with TNF-α slightly induced
the expression of MMP13 but not that of MMP3.
Drugs and active compounds of medicinal plants
inhibited cytokine-induced expression of MMP3 and
MMP13 in ELACs culture
The results show that medications used to treat OA in
humans, such as diacerein, dexamethasone, indometh-
acin, and etoricoxib, significantly attenuated MMP3 and
Sirikaew et al. BMC Veterinary Research (2019) 15:419
Page 3 of 13
Fig. 1 Proinflammatory cytokines upregulate the mRNA expression of MMP3 (a) and MMP13 (b) in ELACs. The chondrocytes were treated with
individual proinflammatory cytokines as follows: IL-1β (2.5 ng/mL); IL-17A (5 ng/mL); and TNF-α (5 ng/mL), or their combination with OSM (2 ng/
mL) or IL-17A (5 ng/mL), for 24 h. mRNA levels were assessed by real-time RT-PCR. Results are presented as mean ± SEM. * signifies statistical
significance compared with control (*p < 0.05), whereas # signifies statistical significance in relation to single-cytokine treatment (#p < 0.05)
MMP13 mRNA levels in the ELACs culture (Fig. 3a and
b). Likewise, natural active compounds, including sesa-
min, andrographolide, and vanillylacetone, significantly
suppressed the MMP3 and MMP13 mRNA levels in a
dose-dependent manner (Fig. 4a and b).
LPS induced the expression of MMP3 and MMP13 along
with proinflammatory cytokine genes in ELACs culture
The results show that LPS at a 0.125 μg/mL concentra-
tion significantly increased MMP3 and MMP13 mRNA
levels as well as the levels of IL1B and IL6 while increas-
ing the expression of the TNF-α gene (TNFA) at a con-
centration of only 0.25 μg/mL (Fig. 5).
Co-treatment with LPS and anti-arthritic drugs such
indomethacin, and etori-
as diacerein, dexamethasone,
coxib significantly suppressed MMP3 and MMP13
mRNA levels in a dose-dependent manner (Fig. 6a and
b). Figure 6c illustrates the LPS-induced increase of
MMP-13 protein levels in the culture media, which was
significantly suppressed by dexamethasone and indo-
methacin. However, the level of MMP-3 in the culture
media could not be assessed using a human MMP-3
CLIA kit (data not shown).
Activation of the MAPK pathway in ELACs by IL-1β
combined with OSM
The MAPK pathway, one of the molecular mechanisms
involved in OA pathogenesis, was activated in ELACs
treated with a combination of IL-1β and OSM. The re-
sults show that the combined proinflammatory cytokines
activated the maximum phosphorylation of p38, ERK,
and JNK from 5 to 10 min, followed by its gradual de-
crease after 15 min (Fig. 7).
Discussion
OA is the most prevalent musculoskeletal disorder in
both humans and animals. Most studies on OA have fo-
cused on humans, with few reports available on animals,
Sirikaew et al. BMC Veterinary Research (2019) 15:419
Page 4 of 13
the mechanisms underlying OA pathogenesis. Although
the pellet culture, a three-dimensional culture model,
mimicked the chondrocytes’ microenvironment within
cartilage tissue more accurately [32], two-dimensional
monolayer cultures are a faster and simpler model for
cell-based studies. They allowed for quick evaluation of
the effects of several proinflammatory cytokines known to
be involved in OA pathogenesis on the expressions of
MMP3 and MMP13 in ELACs.
The present results clearly demonstrate that ELACs
are sensitive to activation by proinflammatory cytokines.
Among the proinflammatory cytokines, the treatment
with OSM alone strongly induced the expression of
MMP13 in the monolayer cultures; TNF-α, which has
been previously reported to induce the expression of
MMP1, MMP3, and MMP13 in equine chondrocytes
[11], caused a significant upregulation of MMP13 in the
elephant chondrocyte pellet culture. IL-17A, alone or in
combination with IL-1β or TNF-α, did not alter the ex-
pression of MMP3 or MMP13. The treatment with a
combination of IL-17A and OSM caused a slight upreg-
ulation of MMP3 with no effect on MMP13. This result
is inconsistent with previous studies on human cartilage
cultures, which showed that the combination of IL-17A
with TNF-α and OSM synergistically upregulates the ex-
pression of enzymes MMP-1 and MMP-13 [33]. This
cytokine is known to be increased in the serum of OA
patients,
in human OA
pathogenesis [34].
suggesting its
involvement
Although IL-1β has been reported to play a key role in
the OA pathogenesis of large animals by upregulating
the expression of MMP-1, MMP-3, and MMP-13 en-
zymes [13, 35, 36], our results clearly demonstrate that
in the elephant chondrocyte pellet culture model, this
cytokine could only induce the expression of MMP3 and
MMP13 in combination with OSM. This result is con-
sistent with a recent report suggesting that IL-1α and
IL-1β are not crucial mediators of murine OA, which
may explain the lack of success of IL-1-targeted therap-
ies for OA [37]. Nevertheless, a previous report by our
team demonstrated a great loss of hyaluronan from
elephant cartilage explants treated with human recom-
binant IL-1β, suggesting the catabolic potential of this
cytokine via accelerating the processes of cleavage and
release of ECM biomolecules from the affected cartilage
tissue, leading to degenerative cartilage in OA [31].
Fig. 2 IL-1β in combination with OSM stimulates expression of
MMP3 (a) and MMP13 (b) in ELAC pellets culture. ELAC pellets were
treated with IL-1β or TNF-α, alone or in combination with OSM, for
3 days. The mRNA levels were assessed by real-time RT-PCR. Results
are presented as mean ± SEM. * signifies statistical significance
compared with control (*p < 0.05), whereas # signifies statistical
significance in relation to single-cytokine treatment (#p < 0.05)
especially elephants. Asian elephants kept in captivity
frequently suffer from OA caused primarily by residing
in damp buildings and being overworked by humans as
well as by restricted movement, which leads to cartilage
degeneration and lameness [3, 4]. Reports on the mecha-
nisms underlying OA in elephants are rare.
The present study used monolayer and pellet cultures of
elephant chondrocytes as in vitro models to investigate
OSM, which belongs to the IL-6 family, is one of the
proinflammatory cytokines that contribute to inflamma-
tion and cartilage destruction in degenerative arthritis
[38]. OSM induces the expression of MMP1, MMP3,
and MMP13 in bovine chondrocytes [12]. This cytokine
has also been reported to synergize the action of other
proinflammatory cytokines such as IL-1β, TNF-α, and IL-
17A, resulting in acceleration of cartilage degeneration
Sirikaew et al. BMC Veterinary Research (2019) 15:419
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Fig. 3 Anti-arthritic drugs decrease the cytokines-induced expressions of MMP3 (a) and MMP13 (b) in ELACs. Chondrocytes were pre-treated with
a combination of IL-1β (2.5 ng/mL) and OSM (2 ng/mL) for 2 h, after which they were treated with various concentrations of DIA (diacerein; 2.5–
10 μM), DEX (dexamethasone; 5–20 nM), INDO (indomethacin; 2.5–10 μM), and ETORI (etoricoxib; 2.5–10 μM), for 24 h. mRNA levels were assessed
by real-time RT-PCR. Results are presented as mean ± SEM. * signifies statistical significance compared with control (*p < 0.05), whereas # signifies
statistical significance in relation to the cytokines treatment group (#p < 0.05)
[15–17]. In this study, in elephant chondrocytes, the com-
bination of OSM with IL-1β exerted the strongest induc-
tion of MMP3 and MMP13 expression in both the
monolayer and pellet culture models, whereas the com-
bined OSM with TNF-α only influenced the expression of
MMP13. Our results suggest a cell-type specificity in
response to the activation of cytokines. Additionally, all
cytokines used in the present study were human recom-
binant proteins, implying that their actions on elephant
chondrocytes may not represent the actions of species-
specific cytokines. Nevertheless, the significant enhance-
ment of MMP3 and MMP13 expression achieved by the
combination of OSM and IL-1β provides important infor-
mation regarding the action of these cytokines in the cata-
bolic processes of elephant OA, which are similar to OA
pathogenesis in other animals [17, 39].
Enzymes MMP-3 and MMP-13 are members of a
zinc-dependent group of endopeptidases and considered
crucial for the destruction process of cartilage ECM that
occurs in OA [7–10]. The present study reveals that the
expression of elephant MMP13 is more sensitive to in-
duction by cytokines than MMP3. Among MMPs, most
studies have focused on MMP-13, a collagenase-3, which
is suggested to play a critical role in both the early stages
and progression of OA [9, 40]. It is overexpressed in pa-
tients with OA but not in healthy patients. MMP-13 in-
volves in cartilage degradation and also acts as a
regulatory factor. It has been suggested that it plays a
key role in controlling the onset of OA by leading chon-
drocytes from a normal to a pathological state [41].
MMP-3, stromelysin-1,
is a matrix-degrading enzyme
found to be increased in the serum and plasma of
Sirikaew et al. BMC Veterinary Research (2019) 15:419
Page 6 of 13
Fig. 4 Natural active compounds reduce the cytokines-induced mRNA levels MMP3 (a) and MMP13 (b) in ELACs. The chondrocytes were pre-
treated with a combination of IL-1β (2.5 ng/mL) and OSM (2 ng/mL) for 2 h, after which they were treated with various concentrations of SE
(sesamin; 0.25–1 μM), AD (andrographolide; 1.25–5 μM), and VA (vanillylacetone; 20–80 μM), for 24 h. The mRNA levels were assessed by real-time
RT-PCR. Results are presented as mean ± SEM. * signifies statistical significance compared with control (*p < 0.05), whereas # signifies statistical
significance in relation to the cytokines treatment group (#p < 0.05)
humans with OA, although its levels are not directly as-
sociated with OA severity [42]. Immunohistochemical
assay of the synovium tissue of OA shows a high expres-
sion of MMP-3, which is positively correlated to the se-
verity of the disease [10].
Likewise, in this study, the high expression of these
enzymes in elephant chondrocytes was demonstrated
under activation by the proinflammatory cytokines re-
sponsible for OA pathogenesis. Our results suggest that
these enzymes, especially MMP-13, which exerts a
strong response to cytokine activation, may be one of
the key catabolic enzymes involved in elephant cartilage
degeneration. Cytokine-induced upregulation of MMP13
mRNA levels was accompanied by an increase of MMP-
13 protein levels in the culture media. This protein was
successfully measured by a test kit designed to deter-
mine the level of human MMP-13, suggesting that the
structures of elephant and human MMP-13 is closely re-
lated. However, another test kit designed to analyze hu-
man MMP-3 levels could not successfully be applied to
measure the level of MMP-3 protein in elephant chon-
drocytes. Therefore, we postulate that the MMP-3 pro-
tein structure similarity between humans and elephants
falls below the threshold of the recognizable capability of
the human MMP-3 monoclonal antibody provided with
the test kit.
Currently, scientific evidence on OA pathogenesis in
elephants is limited. Expanding information regarding
the biomechanisms of the disease as well as the effective-
ness of drugs will support the development of thera-
peutic interventions
to treat
elephant OA. As such, the present study selected four
drugs commonly prescribed to treat OA in humans and
indomethacin,
other animals, namely, dexamethasone,
that may be helpful
Sirikaew et al. BMC Veterinary Research (2019) 15:419
Page 7 of 13
Fig. 5 LPS induces expression of MMP3 and MMP13 (a), and proinflammatory cytokines (b) in ELACs culture. The chondrocytes were treated with
LPS at various concentrations (0.125–1 μg/mL) for 24 h, then mRNA levels were assessed by real-time RT-PCR. Results are presented as mean ±
SEM. * signifies statistical significance compared with control (*p < 0.05)
etoricoxib, and diacerein. Dexamethasone is a synthetic
corticosteroid previously shown to inhibit the expression
of MMP3 and MMP13 in IL-1α-induced bovine chon-
drocytes and suppress cytokine-induced inhibition of
matrix biosynthesis in bovine cartilage [26]. NSAIDs are
generally used to reduce pain and inflammation in arth-
ritis through inhibition of cyclooxygenase (COX) [43].
Indomethacin is a non-selective inhibitor, whereas etori-
coxib is in the COX2 selective class of NSAIDs. The
former has been reported to reduce the expression of
MMP1 and MMP3 in IL-1α-induced bovine chondro-
cytes [23], whereas the latter has been found to decrease
the levels of MMP-2 and MMP-9 [25]. Diacerein, a
DMOADs, has been reported to decrease the production
of IL-1-converting enzyme and IL-1β in human osteo-
arthritic cartilage [44] as well as suppress the expression
of MMP1, MMP3, MMP13, ADAMTS-4, and ADAMTS-
5 in IL-1β-induced bovine chondrocytes [24]. Our re-
sults show that these drugs effectively suppress the ex-
pression of MMP3 and MMP13 induced by the
combination of IL-1β and OSM or LPS, suggesting that
they exhibited an anti-arthritic potential in the elephant
chondrocytes culture model.
Moreover, this study demonstrates the protective ef-
fect of natural compounds previously reported to have
anti-arthritic properties such as sesamin, andrographo-
lide, and vanillylacetone against cytokine-induced ex-
pression of MMP3 and MMP13 in elephants, suggesting
similarities in human and elephant OA pathogenesis,
which is ameliorated by the action of these natural com-
pounds. The concentration ranges of the natural com-
pounds used in this study did not cause cell mortality
but still effectively reduced the expression of MMP3 and
MMP13 and were selected based on the results of the
Sirikaew et al. BMC Veterinary Research (2019) 15:419
Page 8 of 13
Fig. 6 Anti-arthritic drugs suppressed mRNA levels of MMP3 (a) and MMP13 (b) and decreasing MMP13 protein levels (c). The chondrocytes were
pre-treated with 0.5 μg/mL LPS for 2 h, after which they were treated with various concentrations of DIA (diacerein; 2.5–10 μM), DEX
(dexamethasone; 5–20 nM), INDO (indomethacin; 2.5–10 μM), and ETORI (etoricoxib; 2.5–10 μM) for 24 h. mRNA levels were then assessed by real-
time RT-PCR. Results are presented as mean ± SEM. * signifies statistical significance compared with control (*p < 0.05), whereas # signifies
statistical significance in relation to the cytokines treatment group (#p < 0.05)
MTT cytotoxic assay [see Additional file 1]. However,
the therapeutic dose of these agents on human or animal
arthritis remains unclear. Therefore, the application of
these agents to human or animal arthritis must be
further investigated to achieve the maximum therapeutic
effect.
It was reported that supplementation of sesame seed
in patients with knee OA at a dose of 40 g daily for 2
Sirikaew et al. BMC Veterinary Research (2019) 15:419
Page 9 of 13
Fig. 7 Activation of the MAPK pathway in ELACs by IL-1β combined with OSM. ELACs were stimulated by the combination of IL-1β (2.5 ng/mL)
and OSM (2.5 ng/mL) at the indicated time points. Cell lysates were immunoblotted to investigate the total and phosphorylated molecular forms,
which indicated an active MAPK pathway. Immunoblots are represented in (a) and bar graphs (b) show the proportion between the band
intensities of phosphorylated p38, ERK, and JNK over their total forms. Results are presented as mean ± SEM. * signifies statistical significance
compared with control (*p < 0.05)
months, along with standard medical therapy, improved
the disease activity by reducing serum IL-6 [45]. In
papain-induced rat OA, intra-articular injection of 20 μL
of 1 or 10 μM sesamin reduced cartilage distortion [28].
This compound is the most prominent lignan in sesame
seed oil
[46] and has been reported to exert anti-
arthritic effects by reducing IL-1β-induced production of
proinflammatory mediators and cartilage-degrading en-
zymes MMP-1, MMP-3, and MMP-13, in human osteo-
arthritic chondrocytes via suppressing phosphorylation
of NF-κB p65 and IκB and activation of the Nrf2 signal-
ing pathway [28, 47].
[48].
Vanillylacetone, also called zingerone,
is the major
component of ginger root and has known antioxidant
and anti-inflammatory properties
In cytokine-
induced degradation of porcine cartilage explant, this
compound decreased the release of MMP-13 and cartil-
age matrix biomolecules into the culture media by sup-
pressing the p38 and JNK MAPK signaling pathways
[30]. Patients receiving one ginger extract capsule pre-
pared from 2500 to 4000 mg of dried ginger rhizomes
twice daily for 6 weeks showed a significant reduction of
OA symptoms [49]. However, reports on the usage of
vanillylacetone for anti-arthritic purposes in humans or
animals are still limited.
Andrographolide is a major bioactive compound of
Andrographis paniculata (Burm.f.) that was found to in-
hibit the expression of MMPs and inducible nitric oxide
synthase in an IL-1β-induced OA model [29]. This agent
reduced the productions of proinflammatory cytokines
in vitro by suppressing the p38 MAPK and ERK1/2
pathways and alleviated arthritis severity in mice treated
by oral administration of andrographolide 100 mg/kg/d
[50]. It was reported that a combined administration of
andrographolide 50 mg/kg/d and methotrexate 2 mg/kg/
week in rat arthritis induced by complete Freund’s adju-
vant significantly attenuated inflammatory symptoms
and reduced liver injury caused by methotrexate [51].
Andrographolide has been proposed as a new potential
anti-arthritic agent [52]. Therefore, it is worth further
investigating the optimal dose of this agent for arthritis
treatments in animals or humans. LPS are known to in-
duce infectious arthritis and contribute to low-grade
inflammation in OA pathogenesis [19, 53, 54]. They en-
hance the production of MMP-1, MMP-3, MMP-13, ni-
tric oxide, and prostaglandin E2 in OA patients, leading
to an increase in the area of cartilage destruction [55].
Likewise, the present study on elephant chondrocytes
demonstrated a strong inducing effect of bacterial LPS
on the expression of proinflammatory cytokine genes,
including IL1B, TNFA, and IL6, together with matrix-
degrading enzymes MMP3 and MMP13. These results
shed light on the in vitro mechanisms of septic arthritis
in an elephant chondrocyte culture model, which, when
induced by LPS, showed an increased expression of pro-
inflammatory cytokines and matrix-degrading enzymes.
These effects were mitigated by dexamethasone, indo-
methacin, etoricoxib, and diacerein. Our findings suggest
Sirikaew et al. BMC Veterinary Research (2019) 15:419
Page 10 of 13
that these drugs attenuate LPS-induced inflammation
and catabolic factors in both elephant and human
chondrocytes.
MAPK is one of the most important signaling path-
ways regulating OA pathogenesis [56]. It is activated by
including IL-1β and OSM
proinflammatory cytokines,
[12, 57], with consequent upregulation of cartilage-
degrading enzyme production, including that of MMP-3
and MMP-13 [56, 58]. This study investigated the mech-
anisms underlying elephant OA by treating elephant
chondrocytes with a combination of IL-1β and OSM via
a commercial test kit commonly used to detect cellular
activation in human cells via the MAPK signaling path-
way. The present study shows that this test kit was suc-
cessful in revealing the effects of these cytokines on the
activation of p38, ERK, and JNK phosphorylation within
5–10 min before the phosphorylated forms gradually
weakened. Our results support the notion that signal
transduction in elephants is similar to that in humans
and that
to elephant
is
chondrocytes.
applicable
test kit
this
Conclusions
Overall, the findings of this study provide insight into
in
the molecular mechanisms of OA pathogenesis
ELACs, which share similarities with those occurring in
humans and other animals. In addition, anti-arthritic
drugs commonly used to treat OA in humans and other
animals were found to ameliorate the expression of fac-
tors associated with arthritis, including proinflammatory
cytokines and enzymes responsible for cartilage degener-
ation. The present study provides data that contribute to
the development of treatments for elephants with OA
and support research into arthritis in this species.
Methods
Preparation of primary ELACs
A stillborn elephant calf was caused by dystocia with no
clinical appearance of joint disease in an elephant camp
in Chiang Mai, Thailand. Cartilage samples from the
femoral head of the stifle joint were aseptically collected
within 6 h postmortem during the necropsy process,
which was consented by the owner. Primary ELACs were
isolated by overnight digestion with type II collagenase
at 37 °C. The ELACs were washed with phosphate-
buffered saline and grown in Dulbecco’s Modified Eagle
Medium (DMEM) containing 10% v/v fetal calf serum
(FCS), penicillin (100 U/mL), and streptomycin (100 μg/
mL) in a humidified incubator at 37 °C with 5% CO2
until confluence.
Monolayer culture and cytokine treatment of ELACs
ELACs at a 3 × 105 cells/well density were grown to con-
fluence in DMEM containing 10% FCS. The ELACs were
sustained in serum-free DMEM for 24 h, after which
they were
cytokines
treated with proinflammatory
(ProSpec, Rehovot, Israel), IL-1β (2.5 ng/mL), IL-17A (5
ng/mL), and TNF-α (5 ng/mL), either alone or in com-
bination with OSM (2 ng/mL) for 24 h or with IL-17A
(5 ng/mL) for 24 h. The ELACs were also treated with
various concentrations of 0.125–1 μg/mL LPS (Sigma-
Aldrich, U.S.A.). After 24 h, the cells were harvested, and
the expression of MMP3 and MMP13 was investigated
by real-time RT-PCR.
Pellet culture and cytokine treatment of ELACs
ELACs at 1 × 106 were centrifuged in 15 mL conical cul-
ture tubes at 1500 rpm for 5 min. The pellets that
formed at the bottom of the tube were cultured for
seven days in 500 μl of chondrogenic medium (DMEM
containing 10% FCS, 1X Insulin-Transferrin-Selenium
− 7 M dexa-
[59], 25 μg/mL ascorbic acid-2 phosphates, 10
methasone) in a humidified incubator at 37 °C and 5%
CO2 to allow for spherical shape formation of each pel-
let. The pellets were then further treated with IL-1β (5
ng/mL) and TNF-α (10 ng/mL), alone or in combination
with OSM (4 ng/mL), for 3 days before being harvested
for MMP3 and MMP13 mRNA expression analysis by
real-time RT-PCR.
Treatment with drugs and natural compounds
ELACs in monolayer cultures were treated with a combin-
ation of 2.5 ng/mL IL-1β and 2 ng/mL OSM or 0.5 μg/mL
LPS for 2 h [60]. Following this, they were treated with
drugs, including diacerein (2.5–10 μM; TRB Chemidica,
Italy), dexamethasone (5–20 nM; Sigma-Aldrich, U.S.A.),
indomethacin (2.5–10 μM; Sigma-Aldrich, U.S.A.), and
etoricoxib (2.5–10 μM; Zuelling, Philippines) or with nat-
ural bioactive compounds (Sigma-Aldrich, U.S.A.), includ-
ing sesamin (0.25–1 μM), andrographolide (1.25–5 μM),
and vanillylacetone (20–80 μM), for 24 h. The cells were
then harvested to investigate the expression of MMP3 and
MMP13 by real-time RT-PCR, and the culture media were
analyzed for protein levels of MMP-3 and MMP-13.
Real-time RT-PCR
Total RNA was extracted from the ELACs obtained from
the monolayer or pellet cultures using the Illustra RNAs-
pin Mini RNA Isolation Kit (GE Healthcare Life Sciences,
U.K.), according to the manufacturer’s protocol. The total
(0.25 μg)
the monolayer (0.5 μg) and pellet
RNA of
cultures was reverse transcribed into complementary
DNA using the ReverTra Ace® qPCR RT Master Mix
(TOYOBO, Japan). The elephant primer sequences were
designed based on the NCBI Primer-BLAST tool in asso-
ciation with GenBank accession numbers and synthesized
by Bio Basic, Canada (Table 1). Real-time RT-PCR was
performed using the SensiFAST™ SYBR No-ROX Kit
Sirikaew et al. BMC Veterinary Research (2019) 15:419
Page 11 of 13
Table 1 Real-time RT-PCR primer sequences
Gene
MMP3
MMP13
IL1β
IL6
TNFα
GAPDH
Primer sequence (5′-3′)
Forward: AAAGGCAGGCATTTTTGGCG
Reverse: AGGGTGAGGGTAGCTCTCG
Forward: AGTTCCAAAGGCTACAACTT
Reverse: CGCCAGAAGAATCTGTCTTT
Forward: CTTGGTGCTTTCTGGTCCTTAT
Reverse: AGACAAATCGCTTTTCCATCCT
Forward: GGCACTGGCAGGAAACAATC
Reverse: GCATTTGCAGTTGGGTCAGG
Forward: ATCAGCCGTATCGCTGTCTC
Reverse: CCAAAGTAGACCTGCCCAGA
Forward: ATCACTGCCACCCAGAAGA
Reverse: TTTCTCCAGGCGGCAGGTCAG
(Bioline, U.K.). Gene expression quantification was
−ΔΔCt method against the expression of
based on the 2
the glyceraldehydes-3-phosphate dehydrogenase gene
(GAPDH) as a housekeeping gene [61].
Measurement of MMP-3 and MMP-13 levels in the culture
media
The levels of MMP-3 and MMP-13 enzymes in the
culture media were measured using human MMP-3
(catalog number: E-CL-H0931) and MMP-13 (catalog
number: E-CL-H0127) sandwich ELISA kits (Elabscience,
China), according to the manufacturer’s instructions.
Briefly, 100 μl of MMP-3 or MMP-13 standard and sam-
ple (culture media) was added to the monoclonal antibody
against the proteins (MMP-3 or MMP-13) pre-coated mi-
cro CLIA plate well, then incubated at 37 °C. After 90 min
of incubation, the standard and sample were discarded,
and 100 μl of a biotinylated detection antibody working
solution was added to each well. The plate was incubated
for 1 h at 37 °C, followed by three washings. A horseradish
peroxidase conjugate (HRP) working solution was then
added to each well (100 μl/well) and left to incubate at
37 °C for 30 min. After washing, 100 μl of substrate mix-
ture solution was added to each well before being incu-
bated in the dark for 5 min at 37 °C. The luminescence
value was detected using a Synergy H4 hybrid multi-mode
microplate reader (BioTek, U.S.A.), and the protein con-
centrations were calculated by comparing the samples
with standard curves.
Western blot analysis of intracellular signaling molecules
ELACs were treated with a combination of the cytokines
IL-1β (2.5 ng/mL) and OSM (2.5 ng/mL) at various time
points. To investigate the activation of the MAPK path-
way, the cells were collected in a radioimmunoprecipita-
tion assay buffer. The cell lysates were vortexed every
few minutes before centrifugation at 14,000 g for 10 min
at 4 °C, after which the supernatants of the cell lysate
were transferred into new tubes. The cells were lysed
with a sample buffer containing 5% mercaptoethanol.
Equal amounts (25 μg protein) of the cell lysates were
heated for 10 min at 95 °C then subjected to 13% SDS-
PAGE and transferred to a nitrocellulose membrane.
After blocking non-specific proteins with 5% skim milk
in TBS containing 0.1% Tween 20 (TBS-T) for 1 h, the
membranes were washed with TBS-T and probed with
primary antibodies (Cell Signaling Technology, U.S.A.),
including rabbit anti-phosphorylated-p38 MAPK anti-
body, rabbit anti-phosphorylated-p44/42 MAPK anti-
body, rabbit anti-phosphorylated-SAPK/JNK antibody,
rabbit anti-p44/42
rabbit anti-p38 MAPK antibody,
MAPK antibody, rabbit anti-SAPK/JNK antibody, and
mouse anti-β-actin (Biolegend, CA), at 4 °C overnight.
After being washed with TBS-T, the membranes were
incubated for 1 h with the secondary antibody conju-
gated with HRP anti-rabbit IgG or anti-mouse IgG at
room temperature. The positive bands were visualized
by enhanced chemiluminescence using the ChemiDoc
system (Bio-Rad, U.S.A.). The intensity of the immuno-
positive bands was calculated using the TotalLab TL120
software.
Statistical analysis
The results are presented as the mean ± standard error
of the mean of three independent experiments. The stat-
istical analysis was performed using one-way analysis of
variance followed by LSD for post-hoc multiple compar-
isons. A level of p < 0.05 was considered statistically
significant.
Supplementary information
Supplementary information accompanies this paper at https://doi.org/10.
1186/s12917-019-2170-8.
Additional file 1. The effect of natural compounds on elephant articular
chondrocytes viability by using MTT assay.
Abbreviations
ELACs: Elephant articular chondrocytes; FCS: Fetal calf serum; IL-
17A: Interleukin-17A; IL-1β: Interleukin-1beta; LPS: Lipopolysaccharides;
MAPK: the mitogen-activated protein kinase; MMP: Matrix metalloproteinase;
NSAIDs: Non-steroidal anti-inflammatory drugs; OA: Osteoarthritis;
OSM: Oncostatin M; TNF-α: Tumor necrosis factor-alpha
Acknowledgements
The authors gratefully acknowledge all general support throughout the
research process from Thailand Excellence Center for Tissue Engineering and
Stem Cells, Department of Biochemistry, Faculty of Medicine, Chiang Mai
University, Thailand. In addition, we wish to thank Miss Pianghathai Yavirach
for her valuable suggestions in some parts of molecular analysis.
Authors‘contributions
SO and SC designed the experiments and applying for Grants; S.O.
contributed as a project administrator; ST, WT, CS, and CT worked out for the
ethical approval and collected the animal tissues; N.S. performed the
experiments; SO and N.S. analyzed the data; N.S. and S.O. prepared the
original draft of manuscript; SC, ST, WT, CS, and CT, NS and SO revised and
edited the manuscript. All the authors mentioned in this manuscript have
Sirikaew et al. BMC Veterinary Research (2019) 15:419
Page 12 of 13
agreed for authorship, read and approved the manuscript, and given
consent for submission and subsequent publication of the manuscript.
Funding
This research work was supported by Thailand and the National Research
Council of Thailand (Government Budget; 2015). The funder had no role in
study.
Availability of data and materials
The datasets used and/or analyzed during the current study are available
from the corresponding author on reasonable request.
Ethics approval
Animal use and all procedures in the present study were approved by the
Animal Care and Use Committee, Faculty of Veterinary Medicine, Chiang Mai
University, Thailand (FVM–ACUC; Ref. No. R22/2559). We obtained written
informed consent to use the deceased elephant from the owner of the
elephant camp.
Consent for publication
Not applicable.
Competing interests
The authors declare that they have no competing interests.
Author details
1Thailand Excellence Center for Tissue Engineering and Stem Cells,
Department of Biochemistry, Faculty of Medicine, Chiang Mai University, 110
Intrawarorot Rd., Chiang Mai 50200, Thailand. 2Department of Biology,
Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand.
3Department of Companion Animal and Wildlife Clinic, Faculty of Veterinary
Medicine, Chiang Mai University, Chiang Mai 50100, Thailand.
Received: 23 November 2018 Accepted: 8 November 2019
References
1.
Kapoor M, Martel-Pelletier J, Lajeunesse D, Pelletier JP, Fahmi H. Role of
proinflammatory cytokines in the pathophysiology of osteoarthritis. Nat Rev
Rheumatol. 2011;7:1.
Loeser RF, Goldring SR, Scanzello CR, Goldring MB. Osteoarthritis: a disease
of the joint as an organ. Arthritis Rheum. 2012;64:6.
Hittmair KM, Vielgrader HD. Radiographic diagnosis of lameness in African
elephants (Loxodonta africana). Vet Radiol Ultrasound. 2000;41:6.
Clubb R, Mason G. A review of the welfare of zoo elephants in Europe:
RSPCA Horsham, UK; 2002.
Im HJ, Li X, Muddasani P, Kim GH, Davis F, Rangan J, et al. Basic fibroblast
growth factor accelerates matrix degradation via a neuro-endocrine
pathway in human adult articular chondrocytes. J Cell Physiol. 2008;215:2.
Egger GF, Witter K, Weissengruber G, Forstenpointner G. Articular cartilage
in the knee joint of the African elephant, Loxodonta africana, Blumenbach
1797. J Morphol. 2008;269:1.
Brama PA, TeKoppele JM, Beekman B, van El B, Barneveld A, van Weeren PR.
Influence of development and joint pathology on stromelysin enzyme
activity in equine synovial fluid. Ann Rheum Dis. 2000;59:2.
Clements DN, Carter SD, Innes JF, Ollier WE, Day PJ. Analysis of normal and
osteoarthritic canine cartilage mRNA expression by quantitative polymerase
chain reaction. Arthritis Res Ther. 2006;8:6.
2.
3.
4.
5.
6.
7.
8.
9. Wang M, Sampson ER, Jin H, Li J, Ke QH, Im HJ, et al. MMP13 is a
critical target gene during the progression of osteoarthritis. Arthritis Res
Ther. 2013;15:1.
10. Chen JJ, Huang JF, Du WX, Tong PJ. Expression and significance of MMP3 in
synovium of knee joint at different stage in osteoarthritis patients. Asian Pac
J Trop Med. 2014;7:4.
11. Richardson DW, Dodge GR. Effects of interleukin-1β and tumor necrosis
12.
factor-α on expression of matrix-related genes by cultured equine articular
chondrocytes. Am J Vet Res. 2000;61:6.
Li WQ, Dehnade F, Zafarullah M. Oncostatin M-induced matrix
metalloproteinase and tissue inhibitor of metalloproteinase-3 genes
expression in chondrocytes requires Janus kinase/STAT signaling pathway. J
Immunol. 2001;166:5.
13.
14.
15.
Tung J, Fenton J, Arnold C, Alexander L, Yuzbasiyan-Gurkan V, Venta P, et al.
Recombinant equine interleukin-1ß induces putative mediators of articular
cartilage degradation in equine chondrocytes. Can J Vet Res. 2002;66.
Sylvester J, Liacini A, Li WQ, Zafarullah M. Interleukin-17 signal transduction
pathways implicated in inducing matrix metalloproteinase-3, −13 and
aggrecanase-1 genes in articular chondrocytes. Cell Signal. 2004;16:4.
Koshy PJ, Henderson N, Logan C, Life PF, Cawston TE, Rowan AD.
Interleukin 17 induces cartilage collagen breakdown: novel synergistic
effects in combination with proinflammatory cytokines. Ann Rheum Dis.
2002;61:8.
16. Hui W, Rowan AD, Richards CD, Cawston TE. Oncostatin M in combination
with tumor necrosis factor alpha induces cartilage damage and matrix
metalloproteinase expression in vitro and in vivo. Arthritis Rheum. 2003;48:12.
17. Durigova M, Roughley PJ, Mort JS. Mechanism of proteoglycan aggregate
degradation in cartilage stimulated with oncostatin M. Osteoarthr Cartil.
2008;16:1.
18. Campo GM, Avenoso A, Campo S, D'Ascola A, Traina P, Sama D, et al.
Glycosaminoglycans modulate inflammation and apoptosis in LPS-treated
chondrocytes. J Cell Biochem. 2009;106:1.
19. Huang ZY, Stabler T, Pei FX, Kraus VB. Both systemic and local
lipopolysaccharide (LPS) burden are associated with knee OA severity and
inflammation. Osteoarthr Cartil. 2016;24:10.
Loeser RF, Erickson EA, Long DL. Mitogen-activated protein kinases as
therapeutic targets in osteoarthritis. Curr Opin Rheumatol. 2008;20:5.
20.
21. West G. Musculoskeletal system. Biology, medicine, and surgery of
elephants Ames. IA: Blackwell Publishing; 2006.
22. Qvist P, Bay-Jensen AC, Christiansen C, Dam EB, Pastoureau P, Karsdal MA.
23.
24.
The disease modifying osteoarthritis drug (DMOAD): is it in the horizon?
Pharmacol Res. 2008;58:1.
Sadowski T, Steinmeyer J. Effects of non-steroidal antiinflammatory drugs
and dexamethasone on the activity and expression of matrix
metalloproteinase-1, matrix metalloproteinase-3 and tissue inhibitor of
metalloproteinases-1 by bovine articular chondrocytes. Osteoarthr Cartil.
2001;9:5.
Legendre F, Bogdanowicz P, Martin G, Domagala F, Leclercq S, Pujol JP,
et al. Rhein, a diacerhein-derived metabolite, modulates the expression of
matrix degrading enzymes and the cell proliferation of articular
chondrocytes by inhibiting ERK and JNK-AP-1 dependent pathways. Clin
Exp Rheumatol. 2007;25:4.
25. Yang SF, Hsieh YS, Lue KH, Chu SC, Chang IC, Lu KH. Effects of nonsteroidal
anti-inflammatory drugs on the expression of urokinase plasminogen
activator and inhibitor and gelatinases in the early osteoarthritic knee of
humans. Clin Biochem. 2008;41:1–2.
Li Y, Wang Y, Chubinskaya S, Schoeberl B, Florine E, Kopesky P, et al. Effects of
insulin-like growth factor-1 and dexamethasone on cytokine-challenged
cartilage: relevance to post-traumatic osteoarthritis. Osteoarthr Cartil. 2015;23:2.
26.
27. Varga Z, Sabzwari SRA, Vargova V. Cardiovascular risk of nonsteroidal anti-
inflammatory drugs: an under-recognized public health issue. Cureus. 2017;9:4.
28. Phitak T, Pothacharoen P, Settakorn J, Poompimol W, Caterson B,
Kongtawelert P. Chondroprotective and anti-inflammatory effects of
sesamin. Phytochemistry. 2012;80.
29. Ding QH, Ji XW, Cheng Y, Yu YQ, Qi YY, Wang XH. Inhibition of matrix
metalloproteinases and inducible nitric oxide synthase by andrographolide
in human osteoarthritic chondrocytes. Mod Rheumatol. 2013;23:6.
31.
30. Ruangsuriya J, Budprom P, Viriyakhasem N, Kongdang P, Chokchaitaweesuk C,
Sirikaew N, et al. Suppression of cartilage degradation by Zingerone involving
the p38 and JNK MAPK signaling pathway. Planta Med. 2017;83:3–04.
Tangyuenyong S, Viriyakhasem N, Aungsuchawan S, Peansukmanee S,
Thitaram C, Kongtawelert P, et al. Catabolism of Asian elephant cartilage
matrix biomolecules in explant culture. KKU Vet J. 2012;22:2.
Edmondson R, Broglie JJ, Adcock AF, Yang L. Three-dimensional cell culture
systems and their applications in drug discovery and cell-based biosensors.
Assay Drug Dev Technol. 2014;12:4.
32.
33. Moran EM, Mullan R, McCormick J, Connolly M, Sullivan O, Fitzgerald O, et al.
Human rheumatoid arthritis tissue production of IL-17A drives matrix and
cartilage degradation: synergy with tumour necrosis factor-alpha, Oncostatin M
and response to biologic therapies. Arthritis Res Ther. 2009;11:4.
34. Askari A, Naghizadeh MM, Homayounfar R, Shahi A, Afsarian MH,
Paknahad A, et al. Increased serum levels of IL-17A and IL-23 are
associated with decreased vitamin D3 and increased pain in
osteoarthritis. PLoS One. 2016;11:11.
Sirikaew et al. BMC Veterinary Research (2019) 15:419
Page 13 of 13
inhibition of MAPK signaling pathways in rat articular chondrocytes.
Drug Dev Res. 2017;78:8.
58. Hellman NE, Spector J, Robinson J, Zuo X, Saunier S, Antignac C, et al.
Matrix metalloproteinase 13 (MMP13) and tissue inhibitor of matrix
metalloproteinase 1 (TIMP1), regulated by the MAPK pathway, are both
necessary for Madin-Darby canine kidney tubulogenesis. J Biol Chem.
2008;283:7.
Su SC, Tanimoto K, Tanne Y, Kunimatsu R, Hirose N, Mitsuyoshi T, et al.
Celecoxib exerts protective effects on extracellular matrix metabolism of
mandibular condylar chondrocytes under excessive mechanical stress.
Osteoarthritis Cartilage. 2014;22:6.
59.
60. Zheng X, Xia C, Chen Z, Huang J, Gao F, Li G, et al. Requirement of the
phosphatidylinositol 3-kinase/Akt signaling pathway for the effect of
nicotine on interleukin-1beta-induced chondrocyte apoptosis in a rat model
of osteoarthritis. Biochem Biophys Res Commun. 2012;423:3.
61. Al-Shanti N, Saini A, Stewart CE. Two-step versus one-step RNA-to-CT 2-step
and one-step RNA-to-CT 1-step: validity, sensitivity, and efficiency. J Biomol
Tech. 2009;20:3.
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in
published maps and institutional affiliations.
35. Dvorak LD, Cook JL, Kreeger JM, Kuroki K, Tomlinson JL. Effects of carprofen
and dexamethasone on canine chondrocytes in a three-dimensional culture
model of osteoarthritis. Am J Vet Res. 2002;63:10.
36. Cortial D, Gouttenoire J, Rousseau C, Ronzière M-C, Piccardi N, Msika P, et al.
Activation by IL-1 of bovine articular chondrocytes in culture within a 3D
collagen-based scaffold. An in vitro model to address the effect of
compounds with therapeutic potential in osteoarthritis. Osteoarthr Cartil.
2006;14:7.
37. Nasi S, Ea H-K, So A, Busso N. Revisiting the role of Interleukin-1 pathway in
osteoarthritis: interleukin-1α and-1β, and NLRP3 Inflammasome are not
involved in the pathological features of the murine Menisectomy model of
osteoarthritis. Front Pharmacol. 2017;8.
38. Plater-Zyberk C, Buckton J, Thompson S, Spaull J, Zanders E, Papworth J,
et al. Amelioration of arthritis in two murine models using antibodies to
Oncostatin M. Arthritis Rheum. 2001;44:11.
40.
39. Rowan AD, Hui W, Cawston TE, Richards CD. Adenoviral gene transfer of
interleukin-1 in combination with oncostatin M induces significant joint
damage in a murine model. Am J Pathol. 2003;162:6.
Kamekura S, Hoshi K, Shimoaka T, Chung U, Chikuda H, Yamada T, et al.
Osteoarthritis development in novel experimental mouse models induced
by knee joint instability. Osteoarthr Cartil. 2005;13:7.
Li H, Wang D, Yuan Y, Min J. New insights on the MMP-13 regulatory
network in the pathogenesis of early osteoarthritis. Arthritis Res Ther.
2017;19:1.
41.
42. Naito K, Takahashi M, Kushida K, Suzuki M, Ohishi T, Miura M, et al.
Measurement of matrix metalloproteinases (MMPs) and tissue inhibitor
of metalloproteinases-1 (TIMP-1) in patients with knee osteoarthritis:
comparison with generalized osteoarthritis. Rheumatology (Oxford).
1999;38:6.
43. Yoon JB, Kim SJ, Hwang SG, Chang S, Kang SS, Chun JS. Non-steroidal anti-
inflammatory drugs inhibit nitric oxide-induced apoptosis and
dedifferentiation of articular chondrocytes independent of cyclooxygenase
activity. J Biol Chem. 2003;278:17.
44. Moldovan F, Pelletier J, Jolicoeur F-C, Cloutier J-M, Martel-Pelletier J.
45.
Diacerhein and rhein reduce the ICE-induced IL-1β and IL-18 activation in
human osteoarthritic cartilage. Osteoarthr Cartil. 2000;8:3.
Khadem Haghighian M, Alipoor B, Malek Mahdavi A, Eftekhar Sadat B,
Asghari Jafarabadi M, Moghaddam A. Effects of sesame seed
supplementation on inflammatory factors and oxidative stress biomarkers in
patients with knee osteoarthritis. Acta Med Iran. 2015;53:4.
46. Murata J, Matsumoto E, Morimoto K, Koyama T, Satake H. Generation of
47.
48.
triple-transgenic Forsythia cell cultures as a platform for the efficient, stable,
and sustainable production of Lignans. PLoS One. 2015;10:12.
Kong P, Chen G, Jiang A, Wang Y, Song C, Zhuang J, et al. Sesamin inhibits
IL-1beta-stimulated inflammatory response in human osteoarthritis
chondrocytes by activating Nrf2 signaling pathway. Oncotarget. 2016;7:50.
Kim MK, Chung SW, Kim DH, Kim JM, Lee EK, Kim JY, et al. Modulation of
age-related NF-κB activation by dietary zingerone via MAPK pathway. Exp
Gerontol. 2010;45:6.
49. Altman RD, Marcussen KC. Effects of a ginger extract on knee pain in
50.
51.
patients with osteoarthritis. Arthritis Rheum. 2001;44:11.
Li ZZ, Tan JP, Wang LL, Li QH. Andrographolide benefits rheumatoid arthritis
via inhibiting MAPK pathways. Inflammation. 2017;40:5.
Li F, Li H, Luo S, Ran Y, Xie X, Wang Y, et al. Evaluation of the effect of
andrographolide and methotrexate combined therapy in complete Freund's
adjuvant induced arthritis with reduced hepatotoxicity. Biomed
Pharmacother. 2018;106.
52. Hidalgo MA, Hancke JL, Bertoglio JC, Burgos RA. Andrographolide a new
potential drug for the long term treatment of rheumatoid arthritis disease.
Innovative Rheumatology: IntechOpen; 2013.
53. Blasioli DJ, Kaplan DL. The roles of catabolic factors in the development of
osteoarthritis. Tissue Eng Part B Rev. 2014;20:4.
54. Huang Z, Kraus VB. Does lipopolysaccharide-mediated inflammation have a
55.
56.
57.
role in OA? Nat Rev Rheumatol. 2016;12:2.
Kim HA, Cho ML, Choi HY, Yoon CS, Jhun JY, Oh HJ, et al. The catabolic
pathway mediated by toll-like receptors in human osteoarthritic
chondrocytes. Arthritis Rheum. 2006;54:7.
Shi J, Zhang C, Yi Z, Lan C. Explore the variation of MMP3, JNK, p38 MAPKs,
and autophagy at the early stage of osteoarthritis. IUBMB Life. 2016;68:4.
Li X, Guo Y, Huang S, He M, Liu Q, Chen W, et al. Coenzyme Q10
prevents the Interleukin-1 Beta induced inflammatory response via
| null |
10.1088_1402-4896_ad0a2a.pdf
|
Data availability statement
The data that support the findings of this study are openly available at the following URL/DOI: https://orcid.
org/0000-0003-3389-9318.
|
Data availability statement The data that support the findings of this study are openly available at the following URL/DOI: https://orcid. org/0000-0003-3389-9318 .
|
Phys. Scr. 98 (2023) 125949
https://doi.org/10.1088/1402-4896/ad0a2a
PAPER
RECEIVED
21 July 2023
REVISED
27 October 2023
ACCEPTED FOR PUBLICATION
6 November 2023
PUBLISHED
17 November 2023
Electroplating of hydrophobic/hydrophilic ZnO nano-structural
coatings on metallic substrates
Zehira Belamri
, Leila Boumaza and Smail Boudjadar
Department of Physics, Phase Transformation Laboratory, Frères Mentouri_Constantine 1 University, Constantine 25000, Algeria
E-mail: belamri.zehira@umc.edu.dz
Keywords: hydrophobic, hydrophilic, wettability properties, contact angle, ZnO nanostructure
Abstract
In the present work, ZnO thin film is shown as a coating on an aluminum substrate. In order to
synthesize ZnO thin films, electroplated Zn thin layers were thermally oxidized in atmospheric air for
different times (1h–4h) at a fixed annealing temperature of 500 °C. The samples were characterized by
scanning electron microscopy (FEG-SEM) equipped with energy dispersive x-ray analysis (EDX), a
profilometer, x-ray diffraction (XRD), and Raman spectroscopy. The wettability properties of the
synthesized films were evaluated by measuring the contact angle between the surface of the films and a
deposited water drop (WCA). The FEG-SEM images show that the surface morphologies change
throughout treatment time. The sample treated for 2 h shows flower-like microstructures with an
average size of 100 μm, which are covered with spherical ZnO nanostructures with a size less than
50 nm. Measured surface roughness ranges from 5.800 μm to 6.560 μm. Layers thicknesses vary
between 31 and 38 μm. Structural characterization by XRD demonstrates that the synthesized ZnO
thin films were polycrystalline and have Wurtzite hexagonal structures, grown manly along the (101)
plan. The estimated crystallite sizes are in the nanometric scale and reach their maximum value for the
sample treated for 2 h. This annealing time corresponds to the low dislocation density (δ) and low
lattice strain (ε), indicating fewer defects. The Raman analysis shows five normal vibrational modes,
which correspond to the ZnO Wurtzite structure. It was possible to obtain both hydrophobic and
hydrophilic surfaces; the shape and surface roughness of the as-prepared films had an impact on the
results. The largest measured contact angle, of 97°, was obtained after annealing for 2 h at 500 °C.
1. Introduction
Because of their higher mechanical and physicochemical characteristics, metals including steel, copper, and
aluminum are frequently utilized in industrial applications and in daily activities [1–4]. However, it is easily
corroded in the environment as chemical or electrochemical reactions occur on the metal’s surface to turn it into
an oxidized or ionic state [5, 6]. Stress corrosion cracking and corrosion fatigue will occur in the metal material
as a result, which will significantly reduce its mechanical properties. One of the best ways to prevent corrosion on
metal surfaces is to form a passivation coating [2, 3].
The most important quality of the material surface is wettability, which deals with the surface’s affinity for
water. It is widely known that a surface’s wettability depends mostly on its surface energy, surface roughness, or
topography surface micro-nano structure and chemical composition [13–15]. Hydrophobic thin coatings have
many applications, including making waterproof clothing, self-cleaning surfaces, anti-fog coatings, and anti-
corrosion coatings to minimize the loss of efficiency in photovoltaic cells and biomedical devices [7–12]. As an
accepted rule in a scientific community, surfaces with water contact angle θ < 90° are hydrophilic, those have
contact angle θ > 90° are considered hydrophobic and superhydrophobic when θ > 145° [16].
Among these materials used as coating thin film is zinc oxide (ZnO), which is an extremely promising
material because of its abundance and exceptional physicochemical properties, such as a large direct band gap
(3.37 eV), high excitonic energy (60 meV), stability, and biocompatibility [17–19]. Zinc oxide (ZnO) can exist in
© 2023 IOP Publishing Ltd
Phys. Scr. 98 (2023) 125949
Z Belamri et al
several different crystalline structures, also known as polymorphs, depending on the conditions of its synthesis
and processing. The Wurtzite structure is the most stable and commonly observed form of ZnO. The zinc blend
structure is a high-pressure phase, and the rocksalt structure is known as a high-temperature phase [20]. Several
studies have been carried out on this subject. Depending on the wetting properties, roughness, durability, and
anti-icing performance, water-repellent surfaces on aluminum substrates have been demonstrated [21]. The
hydrophobic self-cleaning surfaces of transparent ZnO thin films have been reported to be controllable through
surface homogeneity manipulations [22]. A successful method for inducing specially patterned PAA substrates
to produce superhydrophobic lotus-leaf-like ZnO micro-nanostructured films with extremely strong adhesion
forces was demonstrated [23].
Hydrophobic and hydrophilic ZnO thin films can be applied to self-cleaning glass [24]. The combination
of superhydrophilic and hydrophobic photocatalytic effectivity makes ZnO a promising choice for the use of
self-cleaning glass [25]. It was found that the structural properties of ZnO thin films have a major influence on
wettability behavior as well as electrical, optical, and photocatalytic properties [26].
There are many methods for synthesizing ZnO thin films. However, the selection of the synthesis method
depends on the specific requirements of the application, the desired thickness, uniformity of the film, and
surface states, as well as the equipment and resources available. Sputtering, Molecular Beam Epitaxy (MBE),
Pulse Laser Deposition (PLD), and Metal–Organic Chemical Vapor Deposition (MOCVD) are considered as
complicated and expensive methods, which involve sophisticated experimental apparatus and specific
conditions [27–32]. Soft chemistry methods such as spray pyrolysis, dip- and spin-coating, and
electrodeposition are regarded as relatively easy and inexpensive techniques [33–37].
The objective of this research is to examine the impact of annealing time on the morphological and
structural characteristics of zinc oxide thin films grown on aluminum cathode substrates using a low-cost,
simple electroplating technique. Additionally, contact angle measurement will be used to determine the
wettability (hydrophobic and hydrophilic) of the layers.
2. Experiment
2.1. Preparation of the substrate
In this present work, pure aluminum is used as a substrate; it must undergo mechanical polishing with abrasive
paper of 600 until obtaining a flat shape with a thickness of about 2 mm. Before use, the substrates have been
cleaned in ultrasound baths for 15 min with distilled water and methanol, respectively.
2.2. Deposition of thin films
To make an aqueous solution, 1.755 g of dehydrated zinc acetate (Zn (CH3COO)2−2H2O) precursors were
dissolved in distilled water (0.2 M). Acetic acid (CH3COOH) was used as the complexing agent. A cleaned
aluminum substrate is used as a cathode and the platinum plate as an anode; both electrodes were vertically
immersed in the as-prepared solution and kept at a distance of 1.5 cm. A voltage of −10 V DC was applied for
15 min. The bath temperature is maintained at 50 °C to activate chemical reactions. After deposition, the thin Zn
layers of 37 μm were annealed at different times at 500 °C (1 h, 2 h, 3 h, and 4 h). In order to ensure the complete
oxidation of Zn, it became clear through our previous work [38] that temperatures below 500 °C are insufficient
for generating a full ZnO compound.
2.3. Characterizations
The morphological and elemental analyses were performed using a Field Emission Gun Scanning Electron
Microscope (FEG-SEM, JEOL FEG JSM-7100F) equipped with an energy dispersive x-ray spectrometer (EDS).
The thickness and roughness of deposited ZnO films were measured on a PCE-RT 1200 model profilometer.
The crystallographic properties of the as-prepared samples were determined using a PANALYTICAL empyrean
diffractometer (XRD, λCu = 1.540 Å). The data from XRD were analyzed using X’Pert High Score software. The
Raman spectra were measured on a HORIBA LabRAM HR Evolution spectrometer at room temperature with a
monochromatic light source of 473 nm. In this work, we used a commercial ZnO powder that was purchased
from Fluka Analytical company in order to compare the vibration modes of this compound to those of the
studied samples.The measurement of the water contact angle (WCA (θ)) has been used to determine the surface
wettability of the elaborated ZnO thin films. A light source of the LEYBOLD type (6 V, 30 W) was used for
lighting and projecting the drop’s image onto the sample, together with a projection lens that allowed the image
to be magnified onto a transparent screen of dimensions 30 × 30 cm2.
2
Phys. Scr. 98 (2023) 125949
Z Belamri et al
Figure 1. FEG-SEM image of electrodeposited Zn thin film (untreated sample).
3. Results and discussions
3.1. Morphological studies
Figure 1 shows the FEG-SEM image of the electrodeposited Zn thin layer. The image shows that this layer has an
overlapping structure of micrometric hexagonal sheets.
The morphology of the surface of ZnO thin films electrodeposited on an Al substrate with different
annealing times is presented in figures 2 (a)–(d). On the left, show the low and high magnification (inset)
FEG-SEM images of ZnO thin films treated at 500 °C for different times (1 h, 2 h, 3 h, and 4) , and on the right,
the corresponding EDS analysis. The images show that there are some changes in the morphologies of
samples as treatment time increases. For figures (a), (b), and (c), at the micrometric scale, there are fissures,
pores, flower-like structures, and digging on the surface of films. From figure 2(b), extending the thermal
oxidation time to 2 h induced the formation of a rough surface with flower-like microstructures of about 100
μm. Each flower-like is consists of conical pores. These micro-flowers are distributed randomly, which
increases the roughness of the surface. Similar morphology was observed in previous work [39]. The surface
of these cones is covered by a large number of uniform spherical ZnO nanostructures of about 50 nm in size,
as shown in the magnified images.
For the sample that was heated to 500 °C for 4 h (figure 2(d)), the thin film’s surface exhibits a vertical mico-
sheet structure with a needle-like structure at the nonmetric scale. To confirm the chemical composition of the
ZnO films, an EDX analysis is performed (the right of figure 2). It shows that zinc and oxygen were the only
elements present in the films. Height Zn and O peak intensities in the sample indicated preponderance of ZnO
and within the EDX detection limit; no traces of contaminants were discovered. While Zn was normalized to 1 at
the atomic percentage of Zn and O in ZnO, the O:Zn ratios were 1.3, 1.18, 1.24 and 1.01 in sample treated 1 h,
2 h, 3 h, and 4 h respectively. With the exception of the sample processed for four hours, where the stoichiometry
is almost achieved (table 1), this might be a result of the diffusion of oxygen toward the bulk of the sample or the
desorption phenomenon. As known, ZnO is the most stable metallic oxide compound; consequently, it is not
affected by annealing time, where the stoichiometric characteristic is always verified.
The thickness of the studied thin layers ranged between 31 and 38 μm, and the surface roughness increased
with the increase in annealing time from 5.800 μm to 6.560 μm. The coexistence of surface roughness (micro-
nanostructure) and low surface energy coating is crucial for surfaces that exhibit superhydrophobicity, as
highlighted by a number of previously published works on superhydrophobic surfaces made using
water [39, 40].
3.2. Structural studies
The identification of the substrate structure, electrodeposited Zn, and ZnO thin films was carried out by
comparison with existing databases in the form of ICSD cards N° : 1109-00-00–/03-065- 3358/00-036-1451,
respectively. After the designation of the substrate peaks, the x-ray diffraction spectrum of the untreated sample
shows Zn peaks where they appear to crystallize well and orient in the most intense direction (figure 3 (b)).The
3
Phys. Scr. 98 (2023) 125949
Z Belamri et al
Figure 2. FEG-SEM images of electrodeposited ZnO thin films annealed at 500 °C for 1 h (a), 2 h (b), 3 h (c) and 4 h. (d), (inset shows a
high magnification FEG-SEM images of ZnO thin films) and on the right the corresponding EDX analysis.
various diffraction peaks of Zn are observed at 2θ = 36.366°, 39.086°, 43.321°, 54.447°, 70.244°, 70.815°, and
77.233 which correspond to (002), (100), (101), (102), (103), (110), and (004) lattice planes, respectively
(figure 3 (b)).
4
Phys. Scr. 98 (2023) 125949
Z Belamri et al
Figure 3. XRD spectra of (a) substrate and (b)–(f) untreated and treated electrodeposited Zn thin films.
Table 1. Oxygen–Zinc atomic ratio in all samples as
function of treatment time.
Treatment time, h
O:Zn Atomic ratio
1h
1.3
2h
3h
4h
1.18
1.24
1.01
After annealing for1h at 500 °C, the different diffraction peaks are observed at 2θ = 31.770°, 34.422°,
36.253°, 47.539°, 56.603°, and 62.864°, which attributed respectively to the (100), (002), (101), (102), (110) and
(103) lattice planes of the Wurtzite hexagonal structure (figures 3 (c)–(f)). However, there is a shift in the peaks
position for the other spectra of the samples annealed for 2 h, 3 h, and 4 h, which will be discussed later. For all
samples, the planes (100), (002), and (101) have the sharpest peaks with the greatest intensities, which is a sign of
good crystallinity and a larger grain boundary dimension [41, 42].
Equation (1) was used to determine the highly oriented plane by calculating the relative peak intensity
orientation (hkl) of the three main planes, which is equal to the ratio of the intensity of the (hkl) orientation to
the sum of the intensities of the three dominant orientations (100), (002), and (101) in ZnO thin films [43].
Table 2 displays the results of the calculations.
*(
I hkl
)
=
(
)
I hkl
(
I hkl
i
å
i
)
( )
1
The diffraction peak at the (101) plane clearly shows the highest intensity, demonstrating that growth is
manifest along the (101) plane. The intensity reaches its maximum after two hours of treatment and then begins
to decrease as time increases. Plan (002) is the lowest of all samples, indicative of weak preferred growth toward
this plan [43]. This can be illustrated by the texture coefficient TC(hkl) calculated using the following relation,
equation 2 [44]:
5
Phys. Scr. 98 (2023) 125949
Z Belamri et al
Table 2. Intensity ratio of main peaks in ZnO thin films with
treatment time.
Treatment time at 500 °C
*(
)
I 100
*(
)
I 002
*(
)
I 101
1h
2h
3h
4h
0.183
0.110
0.278
0.259
0.155
0.102
0.219
0.228
0.662
0.787
0.502
0.512
Table 3. Crystallite sizes of elaborated ZnO thin films with
treatment time.
Treatment time at 500 °C
2 q, (101) peak
D (nm)
1h
2h
3h
4h
54
93
65
65
36.288
36.233
36.240
36.310
I
(
hkl
)
TC
(
hkl
)
=
1
N
hkl
)
(
0
I
å
I
(
hkl
)
N
I
0
(
hkl
)
( )
2
Where:
TC(hkl): the texture coefficient of (hkl) plane,
I(hkl): the XRD peak intensities obtained from the films,
I0(hkl): the intensities of the standard diffraction pattern (JCPDS card 00-036-1451)
N is the number of diffraction peaks considered.
The obtained calculus shows that the texture coefficient of the (101) peak varies from one sample to another
and takes the maximum value for the sample annealed for 2 h (2.044), whose maximum value of the thickness
39.00 μm. As the film thickens, more crystallites are formed via the gathering of more solute [44]. This shows
that greater film thickness can enhances the crystallinity of the films.
Therefore, the crystalline size can be estimated based on the Scherrer method [14] using the full width at half
maximum (FWHM) of the highly oriented peak (101) located around 36.2° in the XRD spectrum, equation 3.
D
=
l
0.9
b
cos
q
( )
3
Where λ, θ, and β are the x-ray wavelength (0.1540 nm), Bragg diffraction angle, and FWHM, respectively.
Table 3 summarizes the position of the (101) peak and estimated crystallite sizes. The obtained results reveal that
the crystallite size is on the nanometric scale.
The crystallite size increases from 54 nm for the ZnO thin film treated for 1 h at 500 °C to 93 nm for the
sample treated for 2 h at 500 °C. This may be due to the energy input provided by the heat treatment and the
interaction between atmospheric oxygen and the surface layer. During annealing, oxygen atoms captured by the
surface of the layer can diffuse into the crystallite joints. This can decrease the oxygen-related defects in the film,
increase the crystallite sizes, and improve the stœchiometry of thin films.
As the treatment time increases to 3 h at 500 °C, the crystallite sizes decrease to 65 nm; this decrease is
probably related to the recrystallization of the material following the refining of the crystallites. The observed
change confirms that the ZnO layer properly needs a certain amount of energy to crystallize.
There is also a shift of the preferentially oriented peak (101) towards higher values than the normalized one
(2θ = 36.215°) after a treatment time of 4 h at 500 °C (figure 4). The shift toward a high diffraction angle may be
due to decreasing crystallite sizes as treatment time increases. This is because the capillary pressure exerted by
grain boundaries in the case of nanomaterials can result in peak shift, high dislocation density, and peak
broadening [45].
In order to explain this shift, we can calculate the lattice parameter c using the following relations valid for
the hexagonal structure [46–49]:
a
=
l
q
sin
3
c
=
l
sin
q
6
( )
4
( )
5
Phys. Scr. 98 (2023) 125949
Z Belamri et al
Figure 4. Superposition of XRD spectra for the ZnO (101) peak of samples treated at 500 °C for 1 h, 2 h, 3 h, and 4 h.
Table 4. Values of a, c, ezz, σ as a function of heat treatment time at 500 °C for
elaborated ZnO thin films.
Treatment time
at 500 °C
1 h
2 h
3 h
4 h
a (nm)
c (nm)
0.3249
0.3252
0.3252
0.3244
0.5199
0. 5203
0.5203
0.5196
ezz (%)
−0.154
−0.077
−0.077
−0.211
σ (GPa)
0.349
0.179
0.179
0.489
4
3
1
2
d
hkl
=
2
d
hkl
2
h
⎜
⎛
⎝
sin
+
hk
2
a
)
+
2
k
+
⎟
⎞
⎠
l=
n
2
l
c
2
( )
6
( )
7
(
q
hkl
Where :
λ: The wavelength of the x-ray used (0.1540 nm)
θ: The diffraction angle of the peak (100) for the parameter a and of the peak (002) for c parameter.
dhkl: The interreticular distance
The lattice parameters calculated for the ZnO thin films elaborated in this present work are given in table 4.
These values are slightly different from those of the normalized ZnO, which are: a0 = 0.3253 nm and c0 =
0.5213 nm. This indicates that these layers are compressed parallel to their growth direction; this may be due to
the difference in the thermal expansion coefficients between the ZnO thin film and the substrate [46]. It is
known that the expansion coefficient (α) of aluminum substrate is 23 × 10
structure, its room temperature expansion coefficients α11 and α33 at room temperature are 6.05 × 10
−1 respectively [46]. So regardless of α value of ZnO, the expansion coefficient of the
and 3.53 × 10
substrate used is greater than that of ZnO. Consequently, this maladjustment generates stresses in the deposited
layer.
−1. While ZnO has a hexagonal
−1
−6 °C
−6 °C
−6 °C
When the crystal lattices of the substrate and the thin film perfectly accommodate each other, a
crystallographic relationship can appear at the interface. A deformation due to a disagreement between the
lattice parameters of both materials can also be caused by this accommodation. This type of deformation
generates coherence stresses in the two contact materials.
The XRD spectra of an elaborated ZnO thin film can be used to determine the state of stress. The biaxial
stress ezz along the c-axis direction perpendicular to the substrate is calculated from the following relationship
[34]:
C
0
´
100
( )
8
-
film
C
0
C
e
zz
=
7
Phys. Scr. 98 (2023) 125949
Z Belamri et al
Table 5. Structural parameters of elaborated ZnO thin films as a function of the heat treatment time at 500 °C.
Treatment time at 500 °C
Crystallite size D (nm)
Dislocation density δ × 1014 (ligne/m2)
Lattice deformation (ε x10
−3)
1 h
2 h
3 h
4 h
54
93
65
65
3,4
1,2
2,4
2,4
0,64
0,38
0,52
0,52
Where cfilm is the lattice parameter of the elaborated thin film and c0 is the lattice parameter of the unconstrained
thin film (c0 = 0.5213 nm). We can confirm the type of stress by studying the sign of the ezz parameter. In this
present work, the ezz values represented in table 4 are negative, which confirms that this film undergoes a
compressive stress parallel to its growth direction. The residual stress parallel to the thin film surface is expressed
as follows [50]:
2
13
-
2
C
s =
(
C C
33
C
2
13
With cij is the elastic constant for a monocrystalline structure of ZnO (c13 = 104.2 GPa, c33 = 213.8 GPa,
c11 = 208.8 GPa and c12 = 119.7 GPa [35]).
s
film
C
= -
-
233xe
GPa
C
C
C
12
11
x
(
)
)
0
0
+
zz
( )
9
(
)
10
It was discovered that there is a relationship between the biaxial stress ezz and the residual stress; they have
the opposite direction in the plane of the thin film-substrate interface [46].
The calculated (σ) values of samples treated at 500 °C for different times are presented in table 4. All these
values have a positive sign, indicating that the elaborated ZnO thin films are under traction stress perpendicular
to the c axis. The change in film stress values can be attributed to the variation in treatment time. When the
treatment time increases to 2 h, ZnO crystallizes due to oxygen atom diffusion in the material through the
crystallite joints. This could decrease the oxygen-related defects in the film and increase the crystallite size,
leading to a decrease in stress. If the treatment time increases again, the stress increases due to the increase in
defects, in particular in the crystallite joints after recrystallization.
A study of other structural parameters, especially the dislocation density (δ) and the lattice strain (ε), was also
carried out to better evaluate the quality state of thin films [47]. The obtained results are shown in table 5.
d =
b
e
=
1
2
D
cos
4
q
(
10
a
)
(
)
11
Where; D is the average crystallite size.
The obtained results show that the low value of (δ) is reached after a heat treatment of 2 h at 500 °C, which
indicates the presence of fewer defects in the deposited ZnO thin film. This time corresponds to the best
crystallization of the ZnO hexagonal phase. The increase in the crystallite size of this film is the origin of the
decrease in stress. When the heat treatment time is sufficient, the dislocations become spontaneously mobile and
a reorganization of the crystalline structure, accompanied by an increase in the stress that the elaborated thin
film undergoes, which is known as recrystallization.
The lattice strain (ε) is mainly due to the lattice shift between the film and the aluminum substrate. The
minimum value of (ε) obtained for a treatment time of 2 h at 500 °C indicates very little lattice mismatch
between the substrate and the deposited film, with fewer defects in the elaborated ZnO thin film. The decrease in
lattice defects as crystallite size increases can be attributed to the presence of sufficiently thicker films in a less
strained state. This, in turn, leads to a reduction in lattice strain and dislocation density, signifying an
enhancement in crystallinity or a decrease in film intrinsic defects [44].
3.3. Raman spectroscopy study
Raman spectra are more sensitive to crystallinity, structural disorder, chemical composition of materials, and
defects in nanostructures. Figures 5 (c)–(f) show the Raman spectra of the samples annealing at 500 °C for 1 h,
−1. No vibration mode appears on the
2 h, 3 h, and 4 h, respectively, in wavenumber ranges of 50 to 900 cm
Raman spectrum of the untreated sample. All spectra contain the characteristic Raman active modes for the
hexagonal Wurtzite structure [48, 49]. The vibrational modes that are strongest are E2
high − E2
high at
E2
−1 caused by the sublattice vibration of the oxygen atoms in the ZnO crystal [51, 52]. The high
around 443 cm
intensity of this peak reflects the crystallization quality of ZnO thin films with a hexagonal Wurtzite structure.
Low at 100 cm
−1, and E1 (LO) around 587 cm
−1, A1 (TO) at 383 cm
high at 443 cm
Low at 329 cm
−1,
−1. E2
−1, E2
8
Phys. Scr. 98 (2023) 125949
Z Belamri et al
Figure 5. Raman spectra of ZnO powder (a), untreated electrodeposited Zn thin film (b), ZnO thin films treated at 500 °C (c)-(f) for
different times.
high peak towards high wavenumber values (figure 5(c);
This confirms the results obtained from the XRD analysis. In comparison to massive ZnO (figure 5(a), ZnO thin
film treated for 1 h at 500 °C results in a shift of the E2
this could be the result of stress in the treated thin films. Other, more intense peaks were observed on the Raman
scattering spectra of the samples treated at 500 °C (figure 5 (c)–(f)) around 587 cm
E1(LO) modes, which is a Raman-active mode of hexagonal Wurtzite ZnO [51–54], caused by impurities and
−1, appears on all the Raman
formation defects such as oxygen vacancies. The E2
scattering spectra of the annealed samples and is associated with the vibration of the lattice of zinc atoms
−1. The peak at 383 cm
[52, 53, 56]. Another two low-intensity peaks appeared near 336 cm
attributed to the A1 (TO) mode, which is a first-order optical mode of hexagonal Wurtzite ZnO, based on
previous experimental studies. The observed peak at 336 cm
characteristic of second order caused by the multiphonon process [54, 55].
−1 was attributed to the mode E2
−1, corresponding to the
Low peak, located at 100 cm
−1 and 383 cm
low, which is a
high-E2
−1 is
Based on the findings of this investigation, no changes in Raman spectra were observed with an increase in
annealing time. Therefore, the increase in annealing time has no effect on the vibration mode of elaborated ZnO.
This can be due to several possible reasons: ZnO may have reached a stable crystal structure after a certain
annealing time, which means that more annealing time will not result in significant changes in the crystal
structure. The vibrations observed in the Raman spectrum can already be associated with all possible
characteristics of ZnO under the given annealing conditions. Therefore, extending the annealing time does not
add new vibrational characteristics. It is also possible that the annealing time of 2 h at 500 °C is already sufficient
to achieve the desired properties of ZnO in this study, and extending the annealing time provides no additional
benefit.
3.4. Study of the wettability
The wetting characteristics of the elaborated ZnO thin film on the metallic Al substrate were analyzed by
measuring the water contact angles (figures 6 (a)–(d)). Their contact angle and annealing time were correlated.
The hydrophilic and hydrophobic characteristics of ZnO films were directly influenced by their
micromorphology. In this work, the measurements reveal that the maximum value of the contact angles is
97.01°, which was found for a sample treated for 2 h at 500 °C. This indicates that the sample exhibits
hydrophobic characteristics.
9
Phys. Scr. 98 (2023) 125949
Z Belamri et al
Figure 6. Contact angle with water of ZnO thin films treated: 1 h (a), 2 h (b), 3 h (c) and 4 h (d).
The state of the surface of the treated sample for 2 h at 500 °C (figure 2(b)) shows the coexistence of micro-
nanostructure. The formation of conical ZnO micropores on the surface of the layers traps air on this surface
and prevents water from adhering to the ZnO film, which leads to the hydrophobicity of the material.
Additionally, the presence of nanostructures can trap air between them, resulting in air pockets on the surface
that inhibit the uniform diffusion of water. Surface roughening can also contribute to an increased contact angle.
Rough surfaces tend to trap air pockets, preventing the liquid from spreading and resulting in a higher contact
angle. It is found that the surface roughness increases with the increase in annealing time from 5.800 μm to
6.560 μm, accompanied by an increase in contact angle. This may be due to the increased size and density of the
micro-clusters of ZnO. Similar results were discussed previously [56], where the authors found that the water
contact angle and the surface roughness of the elaborated ZnO thin films on aluminum substrate increased with
the increase in bath temperature. The idea of the effect of roughness on the contact angle has been studied where
liquid does not penetrate the grooves on a rough surface and leaves air gaps [57].
From the obtained results, it was found that the largest crystallite size corresponds to the largest thickness
and roughness, which may be linked to the increased intensity of the (101) peak in the x-ray diffraction
spectrum. Such observations are consistent with the decreasing FWHM of the (101) peak. These characteristics
correspond to the sample annealed at 2 h, which presents the biggest contact angle.
The extension of the treatment time up to 4 h at 500 °C leads to a decrease in the contact angle. This may be
due to the decrease in crystallite size and the increase in defects in the ZnO film structure. Thus, the formation of
ZnO nano- needles leads to a decrease in the contact angle, and the surface becomes hydrophilic.
However, the samples heated to 500 °C for 1, 3, and 4 h exhibit hydrophilic characteristics, with contact
angles of 66.1°, 73.37°, and 61.31°, respectively. These might result from the significant large pores and cracks on
the surface of thin films and the high density of needles on the surface of the (d) sample. Extended annealing time
may allow the ZnO material to reach a more stable or equilibrium state where its surface properties are different
from those during the initial phase. Surface reactions, diffusion, or restructuring processes may continue to
evolve, leading to a surface that is more amenable to wetting.
As the behavior of fluids strongly depends on the hydrophilic nature of the surface, in this case, hydrophilic
ZnO films can be used as microchannels.
10
Phys. Scr. 98 (2023) 125949
4. Conclusion
Z Belamri et al
Stable and stoichiometric ZnO thin films were obtained by simple thermal oxidation of electrodeposited Zn on
aluminum substrates.
The FEG-SEM analysis shows that the morphologies of ZnO thin layers depend on time treatment. There are
fissures, pores, and flower-like structures of about 100 μm on the surface of the ZnO film treated for 2 h. Every
flower-like structure has conical pores, which are covered by a large number of uniform nanospheres of about
50 nm in size. The thickness of the studied thin layers changes between 31 and 38 μm, and the surface roughness
increases with the increase in annealing time from 5.800 μm to 6.560 μm.
The conical flower-like morphology covered with ZnO nanostructures and micropores observed after 2 h at
500 °C can all contribute to the hydrophobicity of the surface by creating rough structures and areas of
trapped air.
The treatment for 2 h at 500 °C of electroplating Zn layers leads to the best crystallization of the ZnO
nanostructure thin films. The obtained results show that the low value of dislocation density (δ) reached after
this treatment accompanied by a low value of lattice strain (ε), which indicates the presence of fewer defects in
the layers deposited during this treatment time.
Results from Raman spectroscopy support those from the XRD analysis. The obtained spectra showed five
normal vibrational modes that are consistent with the hexagonal ZnO Wurtzite structure. The study’s results
indicate that increasing the annealing time does not alter the Raman spectra, implying that it has no impact on
the vibration mode of the ZnO produced in this work. This may be attributed to several factors, such as the
stability of the ZnO crystal structure, saturation of the ZnO properties, and optimal annealing conditions.
Crystallite size increases, and crystallinity improves with increasing film thickness. These surface
characteristics promote the formation of water drops with a high contact angle, indicating better
hydrophobicity.
The observed changes in the contact angle during treatment likely reflect the dynamic interplay of surface
roughness, chemical transformations, and material stability. The initial increase in the contact angle may be due
to surface changes that render the surface less wettable, while the subsequent decrease in the contact angle may
result from further surface evolution that promotes wetting.
It can be deduced that the sample produced with a deposition time of 15 min and a voltage of −10 V followed
by treatment for 2 h at 500 °C has perfect hydrophobicity, which means that these conditions are optimal for the
manufacture of ZnO hydrophobic coatings.
Acknowledgments
The authors warmly thank Prof D HAMANA, director of the Ecole Nationale Polytechnique de Constantine
(ENPC), Algeria, for her precious help and support. Authors also would like to thank Mr K CHETTAH
researcher in the mechanics research center (CRM) of Frères Mentouri-Constantine 1 university, for the
roughness and thickness mesurement.
Data availability statement
The data that support the findings of this study are openly available at the following URL/DOI: https://orcid.
org/0000-0003-3389-9318.
ORCID iDs
Zehira Belamri
https://orcid.org/0000-0003-3178-9318
References
[1] Liu L J, Xu F Y, Yu Z L and Dong P 2012 Facile fabrication of non-sticking superhydrophobic boehmite film on Al foil Appl. Surf. Sci.
258 8928e8933
[2] Feng L, Che Y, Liu Y, Yan Z, Wang Y and Qiang X 2016 One-step immersion method for fabricating superhydrophobic aluminum alloy
with excellent corrosion resistance Surf. Interface Anal. 48 1320e1327
[3] Zheng S, Li F Q, Hu W, Xiang T, Wang Q, Du M, Liu X and Chen Z 2016 Development of stable superhydrophobic coatings on
aluminum surface for corrosion-resistant, self-cleaning, and anti-icing applications Mater. Des. 93 261e270
[4] Zhang S, Huang J, Tang Y, Li S, Ge M, Chen Z, Zhang K and Lai Y 2017 Dynamic wettability: understanding the role of dynamic
wettability for condensate microdrop self-propelling based on designed superhydrophobic TiO2 nanostructures Small 13 1600687
11
Phys. Scr. 98 (2023) 125949
Z Belamri et al
[5] Wang S, Xu C, Hua Y, Ren X, Lu J, Li J, Chen X, Xiang Q and Li Y 2012 Anodic dissolution of aluminum in AlCl3-[BzMIM]Cl ionic
liquid J. Electroanal. Chem. 900 115715
[6] Vargel C 2020 Chapter B.1—The Corrosion of Aluminium Corrosion of Aluminium (Second Edition) 1 Elsevier, Amsterdam, the
Netherlands 41–61
[7] Loghin C, Ciobanu L, Ionesi D, Loghin E and Cristian I 2018 Introduction to waterproof and water repellent textiles Waterproof And
Water Repellent Textiles And Clothing (Woodhead Publishing) pp 3–24
[8] Yilbas B S, Hassan G, Al-Qahtani H, Al-Aqeeli N, Al-Sharaf A, Al-Merbati A S, Baroud T N and Adukwu J A E 2019 Stretchable
hydrophobic surfaces and self-cleaning applications Sci Rep. 9 14697
[9] Shi J, Xu L and Qiu D 2022 Effective antifogging coating from hydrophilic/hydrophobic polymer heteronetwork Adv. Sci. 9 2200072
[10] Williams J, Griffiths C, Dunlop T and Jewell E 2022 Improving the processability of a one-step hydrophobic coating for hot-dipped
galvanised Steel for industrial applications Coatings 12 895
[11] Alamri H R, Rezk H, Elbary H A, Ziedan H A and Elnozahy A 2020 Experimental investigation to improve the energy efficiency of solar
PV panels using hydrophobic SiO2 nanomaterial Coatings 10 503
[12] Falde E J, Yohe S T, Colson Y L and Grinstaff M W 2016 Superhydrophobic materials for biomedical applications Biomaterials 104 87
[13] Khan S A, Al-Hazmi F, Al-Heniti S, Faidah A and Al-Ghamdi A 2010 Effect of cadmium addition on the optical constants of thermally
evaporated amorphous Se–S–Cd thin films Curr. Appl Phys. 10 145
[14] Kenanakis G, Stratakis E, Vlachou K, Vernardou D, Koudoumas E and Katsarakis N 2008 light-induction reversible hydrophylicity of
ZnO structures grown by aqueous chemical growth Appl. Surf. Sci. 254 5695
[15] Lv J, Zhu J, Huang K, Meng F, Song X and Sun Z 2011 Tunable surface wettability of ZnO nanorods prepared by two-step method Appl.
Surf. Sci. 257 7534
[16] Law K 2014 Definitions for hydrophilicity, hydrophobicity, and superhydrophobicity: getting the basics right J. Phys. Chem. Lett. 5 686
[17] Huang H W, Chang W C, Lin S J and Chueh Y L 2012 Growth of controllable ZnO film by atomic layer deposition technique via
inductively coupled plasma treatment J. Appl. Phys. 112 124102
[18] Pilz J, Perrotta A, Christian P, Tazreiter M, Resel R, Leising G, Griesser T and Coclite A M 2018 Tuning of material properties of ZnO
thin films grown by plasma-enhanced atomic layer deposition at room temperature J. Vac. Sci. Technol. A: Vacuum, Surfaces, and Films
3 01A109
[19] Zhou J, Xu N and Wang Z L 2006 Dissolving behavior and stability of ZnO wires in biofluids: a study on biodegradability and
biocompatibility of ZnO nanostructures Adv. Mater. 18 2432
[20] Geurts J 2010 Crystal Structure, Chemical Binding, and Lattice Properties In: Zinc Oxide. Springer Series in Materials Science 120 7–37
[21] Montes Ruiz-Cabello F J, Ibañez-Ibañez P, Paz-Gomez G, Cabrerizo-Vilchez M and Angel Rodriguez-Valverde M 2018 Fabrication of
superhydrophobic metal surfaces for anti-icing applications J. Vis. Exp. 138 e57635
[22] Patra S, Sarkar S, Bera S K, Ghosh R and Paul G K 2009 Hydrophobic self-cleaning surfaces of ZnO thin films synthesized by sol–gel
technique J. Phys. D: Appl. Phys. 42 075301
[23] Li Y, Zheng M, Ma L, Zhong M and Shen W 2008 Fabrication of hierarchical ZnO architectures and their superhydrophobic surfaces
with strong adhesive force Inorg. Chem. 47 3140
[24] Mufti N, Arista D, Diantoro M, Fuad A, Taufiq A and Sunaryono S 2017 Series: Materials Science and Engineering 202 012006 IOP Conf
[25] Kenanakis G, Vernardou D and Katsarakis N 2012 Light-induced self-cleaning properties of ZnO nanowires grown at low
temperatures Appl. Catal. Gen. 411 7–14
[26] Ghannam H, Chahboun A and Turmine M 2019 Wettability of zinc oxide nanorod surfaces RSC Adv. 9 38289
[27] Jiang F X, Tong R X, Yan Z and Xu L F J X H d-electron-dependent transparent conducting oxide of V-doped ZnO thin films J. Alloys
Compd. 822 153706
[28] Kennedy O W 2019 MBE-grown ZnO-based Nanostructures for Electronics Applications, thesis University College London.
[29] Kramer A, Engel S, Sangiorgi N, Sanson A, Bartolome J F, Graf S and Muller F A 2017 ZnO thin films on single carbon fibres fabricated
by pulsed laser deposition (PLD) Appl. Surf. Sci. 399 282
[30] Wang Z et al 2019 Vacancy cluster in ZnO films grown by pulsed laser deposition Sci Rep. 9 3534
[31] Guerrero de León J A, Centeno A P, Rosas G G, Mariscal A, Serna R, Aranda M A S and Galván J G Q 219 Influence of the Zn plasma
kinetics on the structural and optical properties of ZnO thin films grown by PLD SN Appl. Sci. 1 475
[32] Li J, Wu Z, Xu Y, Pei Y and Wang G 2019 Stability analysis of multi process parameters for metal-organic chemical vapor deposition
reaction cavity Molecules 24 876
[33] Amlouk A, Boubaker K and Amlouk M 2010 A new procedure to prepare semiconducting ternary compounds from binary buffer
materials and vacuum-deposited copper for photovoltaic applications Vacuum 85 60
[34] Karyaoui M, Jaballah A B, Mechiak R and Chtourou R 2012 The porous nature of ZnO thin films deposited by sol–gel Spin-Coating
technique IOP Conf. SeriesMaterials Science and Engineering, IOP Publishing 012019
[35] Jacob A A, Balakrishnan L, Meher S, Shambavi K and Alex Z 2017 Structural, optical and photodetection characteristics of Cd alloyed
ZnO thin film by spin coating J. Alloy. Compd. 695 3753
[36] Ganesh V, Salem G, Yahia I and Yakuphanoglu F 2018 Synthesis, optical and photoluminescence properties of Cu-doped ZnO nano-
fibers thin films: nonlinear optics J. Electron. Mater. 47 1798
[37] Nithyaa Sree D, Paul Mary Deborrah S, Gopinathan C and Inbanathan S S R 2019 Enhanced UV light induced photocatalytic
degradation of methyl orange by Fe doped spray pyrolysis deposited ZnO thin films Appl. Surf. Sci. 494 116
[38] Belamri Z, Darenfad W and Guermat N 2023 Impact of annealing temperature on surface reactivity of ZnO nanostructured thin films
deposited on aluminum substrate journal of Nano- and Electronic Physics 15 02026
[39] Huang Y, Sarkar D K and Chen X-G 2011 Fabrication of superhydrophobic surfaces on aluminum alloy via electrodeposition of copper
followed by electrochemical modification Nano-Micro Lett. 3 160–5
[40] Sarkar D K, Farzaneh M and Paynter R W 2008 Superhydrophobic properties of ultrathin rf-sputtered Teflon films coated etched
aluminum surfaces Mater. Lett. 62 1226
[41] Perillo P M, Atia M N and Rodríguez D F 2018 Studies on the growth control of ZnO nanostructures synthesized by the chemical
method Rev. Mater. 23 e-12133
[42] Malek M F, Mamat M H, Sahdan M Z, Zahidi M M, Khusaimi Z and Mahmood M R 2013 Influence of various sol concentrations on
stress/strain and properties of ZnO thin films synthesised by sol–gel technique Thin Solid Films 527 102
[43] Singh G, Shrivastava S B, Jain D, Pandya S and Ganesan V 2009 Effect of molarity of precursor solution on nanocrystalline Zinc Oxide
thin films Defect and Diffusion Forum 293 99
[44] Khedmi N, Ben Rabeh M, Abdelkadher D, Ousgi F and Kanzari M 2014 Effect of thickness on structural and optical properties of
vacuum-deposited Sn2Sb2S5 thin films Cryst. Res. Technol. 1–8
12
Phys. Scr. 98 (2023) 125949
Z Belamri et al
[45] Muhammed S P and Chandra A B 2015 Impact of crystalline defects and size on x-ray line broadening: a phenomenological approach
for tetragonal SnO2 nanocrystals AIP Adv. 5 057137
[46] Srinivasulu T, Saritha K and Ramakrishna Reddy K T 2017 Synthesis and characterization of Fe-doped ZnO thin films deposited by
chemical spray pyrolysis Mod. Electron. Mater. 3 76
[47] Zegadi C, Abderrahmane A, Djelloul A, Hamzaoui S, Adnane M, Chaumont D and Abdelkebir K 2015 Effects on structural and electro-
optical properties of iron incorporation to p-Zinc Oxide (ZnO) thin films deposited by dip-coating process Int. Rev. Phys. 9 39
[48] Shakti N and Gupta P S 2010 Structural and optical properties of sol-gel prepared ZnO thin film Appl. Phys. Res. 2 19
[49] Chen M, Pei Z L, Sun C, Wen L S and Wang X 2000 Surface characterization of transparent conductive oxide Al-doped ZnO films
J. Cryst. Growth 220 254
[50] Tüzemen E S, Eker S, Kavak H and Esen R 2009 Dependence of film thickness on the structural and optical properties of ZnO thin films
Appl. Surf. Sci. 255 6195
[51] Miranda G G, Lucas de Sousa e Silva R, Veridiana dos Santos Pessoni H and Franco Jr A 2021 Raman spectroscopy study of Ga-doped
ZnO ceramics: an estimative of the structural disorder degree Physica B 606 412726
[52] Gupta H, Joshi K, Gautam S K, Singh R G and Singh F 2020 Raman scattering from irradiated nanocrystalline zinc oxide thin films:
perspective view on effects of energy loss, ion fluence, and ion flux Vacuum 181 109598
[53] Taziwa R, Meyer E, Katwire D and Ntozakhe L 2017 Influence of carbon modification on the morphological, structural, and optical
properties of zinc oxide nanoparticles synthesized by pneumatic spray pyrolysis technique J. Nanomater. Article ID 9095301 1
[54] Ozgur U, Alivov Y I, Liu C, Teke A, Reshchikov M A, Dogan S, Avrutin V, Cho S J and Morkoc H 2005 A comprehensive review of ZnO
materials and devices J. Appl. Phys. 98 1
[55] Cusco R, Alarcon-Llado E, Ibanez J, Artus L, Jimenez J, Wang B G and Callahan M J 2007 Temperature dependence of raman scattering
in ZnO Phys. Rev. B 75 1
[56] Huang Y, Sarkar D K and Chen X-G 2015 Superhydrophobic nanostructured ZnO thin films on aluminum alloy substrates by
electrophoretic deposition Appl. Surf. Sci. 327 327
[57] Cassie A B D and Baxter S 1944 Wettability of porous surfaces Trans. Faraday Soc. 40 546
13
| null |
10.1038/s41467-023-35891-9
|
Data availability
The data that support the findings of this study are available from the
corresponding authors upon request.
|
Data availability The data that support the findings of this study are available from the corresponding authors upon request.
|
Article
https://doi.org/10.1038/s41467-023-35891-9
Universality of light thermalization in
multimoded nonlinear optical systems
Received: 28 July 2022
Accepted: 5 January 2023
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Qi Zhong1,5, Fan O. Wu 1,5, Absar U. Hassan1, Ramy El-Ganainy 2,3 &
Demetrios N. Christodoulides
1,4
Recent experimental studies in heavily multimoded nonlinear optical systems
have demonstrated that the optical power evolves towards a Rayleigh–Jeans
(RJ) equilibrium state. To interpret these results, the notion of wave turbulence
founded on four-wave mixing models has been invoked. Quite recently, a
different paradigm for dealing with this class of problems has emerged based
on thermodynamic principles. In this formalism, the RJ distribution arises
solely because of ergodicity. This suggests that the RJ distribution has a more
general origin than was earlier thought. Here, we verify this universality
hypothesis by investigating various nonlinear light-matter coupling effects in
physically accessible multimode platforms. In all cases, we find that the system
evolves towards a RJ equilibrium—even when the wave-mixing paradigm
completely fails. These observations, not only support a thermodynamic/
probabilistic interpretation of these results, but also provide the foundations
to expand this thermodynamic formalism along other major disciplines
in physics.
Nonlinear optics plays a crucial role in a wide range of modern sci-
ence and technologies. These include optical cavity microcombs1,2,
high-power light sources3, cavity optomechanics4,5, nonlinear topo-
logical and non-Hermitian photonics6–10, bioimaging11,12, as well as
classic/quantum networks and signal processing13–16. While nonlinear
interactions widely vary in strength and differ from one material
system to another, their vast majority can still be described using an
relies on perturbative
framework that
underlying theoretical
analysis17. Particularly, by expressing the electric polarization vector
as a Taylor series expansion in terms of the driving electric field, one
can classify nonlinear optical effects into several, largely indepen-
dent processes such as those associated with second harmonic and
sum/difference frequency generation and multi-wave mixing
interactions17. A few decades ago, this same paradigm was adopted
by Zakharov and colleagues to study optical nonlinear propagation
effects when an infinite number of Fourier components is involved—a
field of research that is nowadays known as wave turbulence18. In this
seminal work, it was shown that such a system can be described by a
Boltzmann-like kinetic model that admits a steady-state solution in
the form of a Rayleigh–Jeans (RJ) distribution. In this regard, it was
conjectured that the RJ law results as a mere byproduct of the non-
linear attractor dynamics taking place during multi-wave mixing19. In
developing this model, several assumptions were made. Firstly, it was
implicitly assumed that four-wave mixing dominates the interaction
process. Secondly, the so-called random phase approximation20 was
employed to omit off-resonant interaction terms. Meanwhile, recent
progress in the general area of multimode fiber optics21–29 has
enabled a new generation of nonlinear experimental setups where
the RJ distribution (power allocation among modes) was successfully
observed for the first time30–33. The clear demonstration of RJ ther-
malization in such settings has been touted as evidence in support of
the wave turbulence theory. While reaching such a conclusion does
not seem to pose a problem from a practical point of view, it is
unsettling at a more fundamental level. In essence, adopting the wave
1CREOL, College of Optics and Photonics, University of Central Florida, Orlando, FL 32816, USA. 2Department of Physics, Michigan Technological University,
Houghton, MI 49931, USA. 3Henes Center for Quantum Phenomena, Michigan Technological University, Houghton, MI 49931, USA. 4Ming Hsieh Department
of Electrical and Computer Engineering, University of Southern California, Los Angeles, CA 90089, USA. 5These authors contributed equally: Qi Zhong,
Fan O. Wu.
e-mail: ganainy@mtu.edu; demetri@creol.ucf.edu
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turbulence hypothesis is to a great extent analogous to attempting to
infer, for example, the nature of the interactions between gas
molecules solely from the Maxwell–Boltzmann distribution. Even
more importantly, while the laws of simple thermodynamic systems
like gases can be developed from either classical (Newtonian) kinetic
theories or quantum mechanical perspectives, this is by no means
necessary, given that the corresponding equations of state can be
derived from purely entropic principles—in total disregard to the
underlying collisional mechanisms. So, the question naturally arises:
is the RJ distribution an actual byproduct of multi-wave mixing pro-
cesses or does it represent a much more general result that has little
to do with the specifics of the inherent nonlinearity involved?
Quite recently, a different approach for studying light thermali-
zation was put forward on the basis of statistical mechanics and
thermodynamics34–38. While this latter theoretical framework reaches
similar conclusions to those derived from the aforementioned kinetic
theories18,19 as far as the RJ distribution is concerned, its perspective of
optical thermalization is fundamentally different. Being founded on
notions from statistical mechanics, this paradigm34,35 allows one to
predict and interpret the RJ law emerging in a microcanonical system
from purely entropic considerations. In this regard, the RJ equilibrium
state macroscopically manifests itself because it is ergodically asso-
ciated with a largest number of microstates (in phase space) and thus it
can be considered a byproduct of probability theory—an aspect that
has little to do with the nature of the underlying nonlinearity involved.
If this is indeed the case, then in analogy with statistical mechanics of
gases, the RJ thermalization should occur in systems with more generic
nonlinearities beyond the wave mixing paradigm as illustrated in Fig. 1.
The situation is however more complex. Nonlinear optical systems
often exhibit two constants of motion, i.e., the power and the Hamil-
tonian. The first, which describes the conservation of optical power, is
analogous to the number of particles in a gas system. The second,
however, when expressed in the linear eigenbasis, involves both a
linear and a nonlinear component. Thus, strictly speaking, such a
system is not necessarily expected to relax to a RJ distribution. Only
under the condition that the linear part is constant, the RJ distribution
can be anticipated. In reality, however, even under weak nonlinear
conditions, the linear part of the Hamiltonian is only quasi-conserved.
In other words, the analogy between multimoded nonlinear optical
arrangements and idealized thermodynamic systems involving two
constants of motion is not formal, which further complicates the
question about thermalization in nonlinear optical systems and the
physical mechanism responsible for observing the RJ distribution.
Non-equilibrium state
Equilibrium state
FWM
SHG
OM
MWM
w/o WM
y
c
n
a
p
u
c
c
O
Maximize the entropy
y
c
n
a
p
u
c
c
O
RJ
Energy level
Energy level
Fig. 1 | Conceptual illustration of thermalization in a nonlinear multimode
optical system. Similar to thermalization in matter, the nature of the interaction
forces (like forces between gas molecules) is irrelevant. Here, we show that light
thermalization into a Rayleigh–Jeans (RJ) distribution can take place under a wide
range of nonlinear conditions beyond the traditional four-wave mixing (FWM)
paradigm. These include second harmonic generation (SHG), multi-wave mixing
(MWM), optomechanical (OM) cascaded interactions between optical and
mechanical modes, and even scenarios where the system cannot be described by
any wave mixing expansion (w/o WM).
In this work, we critically examine the manner in which optical
thermalization processes unfold in nonlinear environments with dif-
ferent types of nonlinearities such as those arising from optomecha-
interactions (where wave mixing interpretations are rather
nical
cumbersome) and those associated with photorefractive crystals
(where above certain power thresholds, standard perturbative wave
mixing expansions are not possible). In addition, we consider also
artificial nonlinear systems with nonanalytic and discontinuous non-
linear functions that cannot be described by any convergent poly-
nomial and demonstrate that such set-ups can also reach the RJ
equilibrium distribution. Our work thus establishes the universality of
the thermalization towards the RJ state in nonlinear optical systems,
and, in doing so, presents compelling evidences in favor of the more
general entropic view of optical thermalization as opposed to the more
restrictive four-wave mixing paradigm.
Results
Before we proceed, perhaps it would be useful to highlight some of the
basic notions upon which the optical thermodynamic approach relies
on. As in the case of standard statistical mechanics39, the entropy of the
optical multimode arrangement can be built within a microcanonical
ensemble formalism by accounting all possible microstates, each
containing information as to the energy/power and phase distribution
among all modes in the system. In defining the macrostates, the
energy/power distribution is retained while the phase information is
omitted40 (being superfluous given that it is uniformly distributed
within the range 0 to 2π). In this respect, the nonlinear interaction acts
merely as an agent that enables a chaotic reshuffling of optical energy
among modes and therefore facilitates thermalization. On the other
hand, the specifics of nonlinearity are inconsequential. Optical ther-
modynamic equilibrium is then reached when entropy is maximized
over all possible microstates under the constraints dictated by the two
constants of motion35.
Kerr nonlinearity
We begin our analysis by first considering a Kerr nonlinear multimode
tight-binding model—a one-dimensional photonic array comprised of
M evanescently coupled single-mode waveguides with nearest neigh-
bor coupling41,42 (a situation most relevant to experimental imple-
mentations), as shown in Fig. 2a. Under these conditions,
light
propagation along z in such a lattice can be described by the following
normalized discrete nonlinear Schrödinger equation43:
i
dam
dz + am(cid:1)1 + am + 1 + ∣am∣2am = 0,
ð1Þ
(cid:2)
m = 1
PM
∣am∣2 =
PM
j = 1
where am is the field amplitude at site m, and the last term denotes
Kerr nonlinear effects. Equation (1) exhibits two constants of motion.
The first invariant (denoting power conservation)
is given by
∣cj∣2, where cj is the field amplitude component
P =
associated with supermode ∣ψji of the linear array (i.e., the normal
modes obtained by diagonalizing Eq. (1) in the absence of the nonlinear
term). The complex amplitudes cj at any distance z are obtained by
projecting the state ∣ψ
of the system on the linear supermodes as
expressed in the local representation (i.e., in terms of am). The second
invariant is associated with the optical Hamiltonian comprised of a
linear HL and a nonlinear HNL component, i.e., H = HL + HNL where
∣am∣4, where aM+1 = 0
H
because of the truncated boundary condition. Under weak nonlinear
conditions, the contribution from the linear term HL dominates, and as
a result one can define a quasi-invariant
internal energy by
εj∣cj∣2, where εj = 2 cosð jπ
Þ are the eigenvalues
U (cid:3) (cid:1)H
M + 1
associated with the linear supermodes ∣ψji. As indicated above, by
using purely entropic principles, one can show that light propagating
in such a system evolves towards a thermal state obeying the RJ
m + 1 + a*
PM
j = 1
Þ and H
mam + 1
L = (cid:1)
ðama*
PM
PM
NL =
L =
m = 1
m = 1
1
2
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Fig. 2 | Thermalization of light in nonlinear waveguide arrays with different
nonlinearities. Linear and nonlinear couplings in three optical lattices when
acted upon by three different nonlinearities: a a Kerr nonlinearity, c cascade χ(2)
process, and e optomechanical nonlinearities, as described by Eqs. (1), (3), and (4),
respectively. Numerical simulations provide the modal occupancies after therma-
lization in all these three scenarios, in good agreement with the predicted
Rayleigh–Jeans (RJ) distributions (black lines), as shown in b, d, and f. The insets
display a monotonic increase in entropy S as well as the invariants of the motion U
and P. Note that in all cases, numerical simulations are performed over ensemble
averages. The thermal fluctuations of quasi-invariants (when applicable) are indi-
cated by gray lines, depicting the instantaneous values of U and P around their
mean values. In all cases, the nonlinear array has M = 100 sites and the dashed lines
represent the initial occupancies for the linear optical supermodes.
distribution34,35:
∣cj∣2 = (cid:1)
T
μ + εj
,
ð2Þ
where T and μ represents the optical temperature and chemical
potential, respectively. In general, the equilibrium values of T, μ can be
predicted from the initial conditions, i.e., from the invariants P and
U34,36,38. For instance, for a lattice with M = 100 elements, an input
excitation ∣cj∣2 = 0.05(εj + 2) (dashed line in Fig. 2b) leads to P = 10 and
U = − 9.9, which in turn predicts T = 0.15 and μ = − 2.5 (see Supplemen-
tary Note 1). The size of the systems considered in this study is large
enough so as to guarantee the extensivity of the entropy and the self-
consistency of the thermodynamic formulation used44. By numerically
integrating Eq. (1), we find that the equilibrium modal occupancies ∣cj∣2
are consistent with the theoretically predicted RJ distribution (Fig. 2b).
The inset panel in Fig. 2b shows that during propagation, the optical
j = 1 lnð∣cj∣2Þ monotonically increases until it reaches a
entropy S =
maximum (as expected by the second law of thermodynamics) while
the optical energy U remains quasi-invariant.
PM
Cascade second order χ(2) nonlinearity
In order to demonstrate the universality of RJ thermalization, we
now investigate a variety of scenarios. In this respect, we consider
cascade second order χ(2) nonlinear processes unfolding in
waveguide arrays, governed by the following normalized coupled
evolution equations45–47:
ða2
m = 1
mb*
PM
PM
mbmÞ(cid:4)
m = 1
(cid:1) 1
2
mam + 1
PM
j = 1
m + 1 + a*
where am and bm are the local site field amplitudes associated with the
fundamental and the second-harmonic frequency, and Δ is the phase
mismatch. Here the linear coupling among bm is neglected46, as
illustrated in Fig. 2c. This system exhibits two constants of motion: the
ð∣am∣2 + ∣bm∣2Þ and the Hamiltonian
total optical power P =
m + a*2
Δ∣bm∣2 + 1
½ama*
H =
(see Sup-
2
plementary Note 2). Under weak nonlinear conditions, the field in
the fundamental frequency am dominates, and therefore its power and
∣cj∣2, and
energy can be regarded as quasi-invariants, i.e., Pa =
Ua = (cid:1)
εj∣cj∣2, where cj is the field amplitude of the corresponding
supermode . If indeed this system can thermalize through the χ(2)
process under these two invariants, one should then anticipate a RJ
distribution once equilibrium is reached. To confirm this hypothesis,
we numerically simulated Eq. (3) with Δ = 1, M = 100 when the first 30
modes in the fundamental frequency were evenly excited (dashed line
in Fig. 2d). As shown in Fig. 2d, after a non-equilibrium prethermaliza-
tion stage, the quantities Pa and Ua eventually settle to Pa = 8:3 and
Ua = −15.1, i.e., they remain invariants. For this set of values, once
thermal equilibrium is attained, our theory predicts T = 0.016 and
μ = −2.007,
in excellent agreement with our numerical simula-
tions (Fig. 2d).
PM
j = 1
Optomechanical nonlinearity
Next, we consider a lossless nonlinear optomechanical cavity array
where the intracavity optical fields and the vibrational motions are
described by the following evolution equations48:
dam
dz + am(cid:1)1 + am + 1 + a*
i
dbm
i
dz
(cid:1) Δbm + a2
m = 0,
mbm = 0,
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ð3Þ
i
i
dam
dt
dbm
dt
(cid:1) ðam(cid:1)1 + am + 1
Þ + amðbm + b*
mÞ = 0,
(cid:1) Ωbm + ∣am∣2 = 0:
ð4Þ
3
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https://doi.org/10.1038/s41467-023-35891-9
m = 1
m = 1
PM
∣am∣2 =
PM
Þ + ∣am∣2ðbm + b*
PM
j = 1
½(cid:1)ðama*
Here am and bm stands for the optical field and the mechanical oscil-
lation amplitude in cavity m, respectively (Fig. 2e), while the parameter
Ω represents a normalized angular frequency of the mechanical
resonance. Synchronization between driven optomechanical oscilla-
tors have been investigated in earlier studies and it was shown that
the synchronization dynamics follow the generic features of the Kur-
amoto model49. Here, instead, we are interested in the nonlinear
dynamics of coupled optomechanical oscillators in the absence of the
driving force. We proceed by first noting that the above system
exhibits two invariants: the number of “photons” in the cavities
∣cj∣2, and the overall Hamiltonian of the sys-
Pa =
tem H =
mam + 1
m + 1 + a*
(see
Supplementary Note 3), where cj denotes the field amplitude of the jth
optical supermode. As before, under weakly nonlinear conditions
and when the normalized Ω is large, such as Ω = 8 in our
numerical simulations, one finds that
the
Hamiltonian associated with the optical field is a quasi-invariant,
εj∣cj∣2. Even in this more
Ua =
complex scenario, the RJ distribution emerges at thermal equilibrium
as a result of ergodicity as can be seen in Fig. 2f. In all cases, a good
agreement was found to exist between numerical simulations and the
theoretically anticipated RJ distribution once Pa, Ua were specified by
initial conditions. Note that in this case, it is impossible to associate a
multi-wave mixing process to the optical nonlinearity—an aspect that
dispels the wave turbulence paradigm. Interestingly, unlike their
photon counterparts, the mechanical vibrations themselves do not
display a pair of (quasi-)invariants P and U (see Supplementary Note 3),
and therefore cannot thermalize to a RJ equilibrium state in the same
manner.
the linear part of
mÞ (cid:1) Ω∣bm∣2(cid:4)
m + 1 + a*
PM
j = 1
½(cid:1)ðama*
mam + 1
PM
Þ(cid:4) =
m = 1
Nonlinearity described by a smooth but nowhere analytic
function
So far, we have analyzed thermalization effects in multimode systems
where the nonlinearities conform to standard Taylor series expan-
sions. Naturally, one may ask whether the RJ thermalization process
can indeed manifest itself in more general nonlinear settings.
To address this question, we now consider optical lattices involving
generalized intensity-dependent nonlinearities F(x) as described by50:
i
dam
dz + am(cid:1)1 + am + 1 + Fð∣am∣2Þam = 0:
ð5Þ
PM
j = 1
m = 1
PM
½ama*
m + 1 + a*
∣cj∣2 as well as the Hamiltonian
Here the optical power P =
H =
mam + 1 + Gð∣am∣2Þ(cid:4) of the system are still con-
served, where G(x) is the antiderivative of F(x) (i.e., dG(x)/dx = F(x), and
G(0) = 0). As before, in the weak nonlinear regime, i.e., F(x) ≪ 1, the
linear part of the Hamiltonian U = (cid:1)
εj∣cj∣2 is a quasi-invariant.
PM
j = 1
1
PN
ðxÞ =
First, we consider the case where F(x) is chosen to be a smooth
(infinitely differentiable) function everywhere, yet nowhere analytic
(i.e., it does not have a convergent Taylor series representation). This
function, which we will henceforth denote as F1(x). For example, here
we construct such a nonanalytic function via Fourier series
n = (cid:1)N hn expði2πnxÞ, where the Fourier coefficients hn are
F
random variables chosen such that their amplitudes drop with n faster
than the reciprocal of any polynomial but slower than exponential51–53
(see Supplementary Note 4). This condition guarantees that in the limit
N → ∞, the function F1(x) is infinitely differentiable but nowhere ana-
lytic. In other words, this function has a Taylor series but its radius of
convergence tends to 0 as N → ∞. From a practical point of view, one
can choose N to be large enough so as the function F1(x) does not have
a proper Taylor series within the range of interest of the intensities
involved in our simulations. Figure 3a shows one such possible func-
tion F1(x) used in our computations. In this case, numerical simulations
carried out on Eq. (5) clearly indicate that the RJ distribution still
emerges upon thermalization, as shown in Fig. 3b. While these results
clearly support the universality hypothesis for RJ thermalization, they
still do not provide compelling evidence, mainly because the function
F1(x) is continuous. In this case, the Stone–Weierstrass theorem54
guarantees that it can be still represented by a polynomial expansion,
even though it does not correspond to its Taylor series. Thus, in this
Fig. 3 | Thermalization of light in nonlinear lattices involving generalized
intensity-dependent nonlinearities F(x). a An example of non-analytic function
used in our simulations. b Corresponding Rayleigh–Jeans (RJ) distribution (T = 0.15,
μ = −2.5) occurring after thermalization. c A discontinuous multi-step function used
in our simulations. d Again this nonlinearity leads to a RJ distribution. e A saturable
nonlinearity described by F
1 + x, and (f) its corresponding RJ distribution. In
ðxÞ = x
3
(b) and (d), the initial excitation conditions are exactly the same and as a result
they attain the same RJ allocation, an aspect indicating universality in thermaliza-
tion.The insets have been plotted in a manner similar to Fig. 2. As before, here
we used M = 100 and the initial mode occupancies are represented by the
dashed lines.
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scenario one could still argue that the underlying nonlinear interac-
tions do arise from a series of higher-order wave mixing terms.
A discontinuous nonlinearity function
In order to assert the universality of RJ thermalization, i.e., being of a
purely entropic (ergodic) origin that goes beyond the wave mixing
picture, we next consider a nonlinearity that is described by a dis-
continuous multi-step function55–57 such as that depicted in Fig. 3c,
denoted as F2(x). Due its discontinuous nature, the function F2(x)
cannot be analytically represented by a polynomial expansion across
its entire domain. In other words, the wave mixing paradigm com-
pletely fails in this case. Interestingly, even in this case, the system
thermalizes and reaches a RJ equilibrium state as shown in Fig. 3d, in
full accord with theoretically anticipated results. This latter example
demonstrates once and for all that optical thermalization in multi-
mode systems has a more fundamental origin—rooted in the system’s
ergodicity rather than in the intricate nature of the nonlinear interac-
tions involved. In other words, the onset of a RJ distribution does not
necessarily require the presence of any multi-wave mixing mechan-
isms. Instead, it is simply the outcome of the maximizing the entropy
itself. Note that the simulations depicted in Fig. 3b, d were carried out
for the same parameters and initial conditions (M = 100, P = 10,
U = −9.9). Interestingly, despite the profound differences in their
nonlinearity, they all settle exactly at the same RJ distribution with
T = 0.15 and μ = −2.5. This further supports our hypothesis. In other
words, as indicated before, one cannot infer the nature of the inter-
molecular collision processes from the Maxwell–Boltzmann distribu-
tion as manifested in actual gases.
3
ðxÞ = x
Saturable nonlinearity
We finally extend this discussion to more realistic material systems. For
instance, consider photorefractive crystals where the nonlinearity is
saturable57,58 F
1 + x, as shown in Fig. 3e. In the domain where x > 1,
F3(x) does not have a Taylor representation but instead has a Laurent
series expansion59: F3(x) = 1 − x−1 + x−2 − x−3 + . . . . Obviously,
in this
regime, the nonlinear interaction cannot be described by a simple
wave mixing approach. Yet, assuming that ergodicity holds, and given
that two invariants P and U still exist, as per our previous arguments,
this should lead to RJ thermalization. This is verified using numerical
simulations as shown in Fig. 3f. To ensure the validity of our conclu-
sions, the values of the local intensities ∣am∣2 have been monitored
during our simulations so as the F3(x) function was predominantly
within the Laurent series expansion (see Supplementary Note 5).
Discussion
In conclusion, we have critically examined the manner in which
optical thermalization processes unfold in nonlinear multimode
environments and showed that the RJ distribution law is universal: it
can manifest itself even in systems where the multi-wave mixing
picture fails. These results extend the notion of wave thermalization
beyond the original wave turbulence hypothesis that is founded on
the premise of wave mixing interactions. In other words, through the
use of counterexamples we demonstrated that nonlinear wave mix-
ing may be sufficient but by no means necessary. Importantly, it
would seem that, in some cases, these processes may not be in fact
responsible for thermalization. Instead, our results suggest that RJ
equilibrium is obtained because of ergodicity and entropy max-
imization as expected by the second law of thermodynamics. These
observations, not only support a thermodynamic/probabilistic
interpretation of these results, but also provide appropriate foun-
dations to expand the thermodynamic formalism in other physical
settings governed by classical bosonic interactions. Finally, of inter-
est would be to investigate the prospects of devising a formal proof
that would dictate the universality of thermalization processes under
general nonlinear conditions.
Methods
Numerical simulation
All the simulation results in this work are obtained by numerically
integrating the nonlinear equations of motion described by Eqs. (1),
and (3)–(5). Due to the finite size of the system, the modal occupancies
∣cj∣2 fluctuate around their equilibrium values. Thus, the final equili-
brium state can be evaluated either by calculating the time (distance)
average or ensembles average. In this work, we adopted the latter
strategy. In particular, for each simulation in Figs. 2 and 3, we have
employed 400 ensembles, each of which corresponds to a random
initial condition that have the same intensity profile (i.e., same values
for ∣cj∣2) but a different phase distribution.
Data availability
The data that support the findings of this study are available from the
corresponding authors upon request.
References
1.
2.
Bao, H. et al. Laser cavity-soliton microcombs. Nat. Photonics 13,
384–389 (2019).
Kippenberg, T. J., Holzwarth, R. & Diddams, S. A.
Microresonator-based optical frequency combs. Science 332,
555–559 (2011).
3. Wright, L. G., Christodoulides, D. N. & Wise, F. W. Spatio-
temporal mode-locking in multimode fiber lasers. Science
358, 94–97 (2017).
Kippenberg, T. J. & Vahala, K. J. Cavity optomechanics: back-action
at the mesoscale. Science 321, 1172–1176 (2008).
4.
5. Aspelmeyer, M., Kippenberg, T. J. & Marquardt, F. Cavity opto-
mechanics. Rev. Mod. Phys. 86, 1391–1452 (2014).
6. Xia, S. et al. Nontrivial coupling of light into a defect: the interplay of
7.
nonlinearity and topology. Light Sci. Appl. 9, 147 (2020).
Kirsch, M. S. et al. Nonlinear second-order photonic topological
insulators. Nat. Phys. 17, 995–1000 (2021).
8. Wimmer, M. et al. Observation of optical solitons in PT-symmetric
lattices. Nat. Commun. 6, 7782 (2015).
9. Xia, S. et al. Nonlinear tuning of PT symmetry and non-Hermitian
topological states. Science 372, 72–76 (2021).
10. Bongiovanni, D. et al. Dynamically emerging topological phase
transitions in nonlinear interacting soliton lattices. Phys. Rev. Lett.
127, 184101 (2021).
11. Bezryadina, A. et al. Nonlinear self-action of light through biological
suspensions. Phys. Rev. Lett. 119, 058101 (2017).
12. Zhang, S. et al. Recent advances in nonlinear optics for bio-imaging
applications. Opto-Electron. Adv. 3, 200003 (2020).
13. Tan, M. et al. RF and microwave photonic temporal signal proces-
sing with Kerr micro-combs. Adv. Phys. X 6, 1838946 (2021).
14. Reimer, C. et al. High-dimensional one-way quantum processing
implemented on d-level cluster states. Nat. Phys. 15, 148–153 (2019).
15. Ramos, A., Fernández-Alcázar, L., Kottos, T. & Shapiro, B. Optical
phase transitions in photonic networks: a spin-system formulation.
Phys. Rev. X 10, 031024 (2020).
16. Shi, C., Kottos, T. & Shapiro, B. Controlling optical beam thermali-
zation via band-gap engineering. Phys. Rev. Res. 3, 033219 (2021).
17. Boyd, R. W. Nonlinear Optics (Academic Press, 2008).
18. Zakharov, V. E., L’vov, V. S. & Falkovich, G. Kolmogorov Spectra of
Turbulence I: Wave Turbulence (Springer, 2012).
19. Picozzi, A. et al. Optical wave turbulence: towards a unified none-
quilibrium thermodynamic formulation of statistical nonlinear
optics. Phys. Rep. 542, 1–132 (2014).
20. Abarbanel, H. D., Rabinovich, M. I. & Sushchik, M. M. Introduction to
Nonlinear Dynamics for Physicists (World Scientific, 1993).
21. Kibler, B. & Béjot, P. Discretized conical waves in multimode optical
fibers. Phys. Rev. Lett. 126, 023902 (2021).
Nature Communications |
(2023) 14:370
5
Article
https://doi.org/10.1038/s41467-023-35891-9
22. Mafi, A. Pulse propagation in a short nonlinear graded-index
43. Christodoulides, D. N. & Joseph, R. I. Discrete self-focusing in
multimode optical fiber. J. Lightwave Technol. 30,
2803–2811 (2012).
23. Nazemosadat, E. & Mafi, A. Nonlinear multimodal interference and
saturable absorption using a short graded-index multimode optical
fiber. J. Opt. Soc. Am. B 30, 1357–1367 (2013).
24. Pourbeyram, H., Agrawal, G. P. & Mafi, A. Stimulated Raman scat-
tering cascade spanning the wavelength range of 523 to 1750 nm
using a graded-index multimode optical fiber. Appl. Phys. Lett. 102,
201107 (2013).
25. Teğin, U. et al. Controlling spatiotemporal nonlinearities in multi-
mode fibers with deep neural networks. APL Photonics 5,
030804 (2020).
26. Rahmani, B., Loterie, D., Konstantinou, G., Psaltis, D. & Moser, C.
Multimode optical fiber transmission with a deep learning network.
Light Sci. Appl. 7, 69 (2018).
27. Mumtaz, S., Essiambre, R.-J. & Agrawal, G. P. Nonlinear propagation
in multimode and multicore fibers: generalization of the Manakov
equations. J. Lightwave Technol. 31, 398–406 (2013).
28. Chen, T. et al. All-fiber passively mode-locked laser using nonlinear
multimode interference of step-index multimode fiber. Photonics
Res. 6, 1033–1039 (2018).
nonlinear arrays of coupled waveguides. Opt. Lett. 13,
794–796 (1988).
44. Selim, M. A., Wu, F. O., Ren, H., Khajavikhan, M. & Christodoulides,
D. Thermodynamic description of the near- and far-field intensity
patterns emerging from multimode nonlinear waveguide arrays.
Phys. Rev. A 105, 013514 (2022).
45. Trillo, S. & Torruellas, W. Spatial Solitons (Springer, 2001).
46.
Iwanow, R. et al. Observation of discrete quadratic solitons. Phys.
Rev. Lett. 93, 113902 (2004).
47. Siviloglou, G. A. et al. Observation of discrete quadratic surface
solitons. Opt. Express 14, 5508–5516 (2006).
48. Xiong, H., Gan, J. & Wu, Y. Kuznetsov-Ma soliton dynamics
based on the mechanical effect of light. Phys. Rev. Lett. 119,
153901 (2017).
49. Heinrich, G., Ludwig, M., Qian, J., Kubala, B. & Marquardt, F. Col-
lective dynamics in optomechanical arrays. Phys. Rev. Lett. 107,
043603 (2011).
50. Yang, J. Nonlinear Waves in Integrable and Nonintegrable Systems
(SIAM, 2010).
51. Trefethen, N. Smoothies: nowhere analytic functions. https://www.
chebfun.org/examples/stats/Smoothies.html (2020).
29. Poletti, F. & Horak, P. Dynamics of femtosecond super-
52. Trefethen, N. Notes of a numerical analyst: random smoothies. LMS
continuum generation in multimode fibers. Opt. Express 17,
6134–6147 (2009).
30. Pourbeyram, H. et al. Direct observations of thermalization to a
Rayleigh–Jeans distribution in multimode optical fibres. Nat. Phys.
18, 685–690 (2022).
Newsletter 43 (2021).
53. Bilodeau, G. G. The origin and early development of non-analytic
infinitely differentiable functions. Arch. Hist. Exact Sci. 27,
115–135 (1982).
54. Stone, M. H. The generalized weierstrass approximation theorem.
31. Mangini, F. et al. Statistical mechanics of beam self-cleaning in
Math. Mag. 21, 237–254 (1948).
GRIN multimode optical fibers. Opt. Express 30,
10850–10865 (2022).
32. Podivilov, E. V. et al. Thermalization of orbital angular momentum
beams in multimode optical fibers. Phy. Rev. Lett. 128,
243901 (2022).
33. Baudin, K. et al. Classical Rayleigh-Jeans condensation of light
waves: observation and thermodynamic characterization. Phys.
Rev. Lett. 125, 244101 (2020).
34. Wu, F. O., Hassan, A. U. & Christodoulides, D. N. Thermodynamic
theory of highly multimoded nonlinear optical systems. Nat. Pho-
tonics 13, 776–782 (2019).
35. Makris, K. G., Wu, F. O., Jung, P. S. & Christodoulides, D. N. Statis-
tical mechanics of weakly nonlinear optical multimode gases. Opt.
Lett. 45, 1651–1654 (2020).
36. Parto, M., Wu, F. O., Jung, P. S., Makris, K. & Christodoulides, D. N.
Thermodynamic conditions governing the optical temperature and
chemical potential in nonlinear highly multimoded photonic sys-
tems. Opt. Lett. 44, 3936–3939 (2019).
37. Wu, F. O., Jung, P. S., Parto, M., Khajavikhan, M. & Christodoulides,
D. N. Entropic thermodynamics of nonlinear photonic chain net-
works. Commun. Phys. 3, 216 (2020).
38. Efremidis, N. K. & Christodoulides, D. N. Fundamental entropic
processes in the theory of optical thermodynamics. Phys. Rev. A
103, 043517 (2021).
39. Pathria, R. K. Statistical Mechanics (Elsevier, 2016).
40. Wu, F. O. et al. Thermalization of light’s orbital angular momentum
in nonlinear multimode waveguide systems. Phys. Rev. Lett. 128,
123901 (2022).
41. Leblond, H., Kremer, D. & Mihalache, D. Few-cycle spatiotemporal
optical solitons in waveguide arrays. Phys. Rev. A 95,
043839 (2017).
55. Musslimani, Z. H., Segev, M., Christodoulides, D. N. & Soljačić, M.
Composite multihump vector solitons carrying topological charge.
Phys. Rev. Lett. 84, 1164–1167 (2000).
56. Musslimani, Z. H., Segev, M. & Christodoulides, D. N. Multi-
component two-dimensional solitons carrying topological charges.
Opt. Lett. 25, 61–63 (2000).
57. Musslimani, Z. H., Soljačić, M., Segev, M. & Christodoulides, D.
N. Interactions between two-dimensional composite vector
solitons carrying topological charges. Phys. Rev. E 63,
066608 (2001).
58. Jia, P., Li, Z., Hu, Y., Chen, Z. & Xu, J. Visualizing a nonlinear response
in a Schrödinger wave. Phys. Rev. Lett. 123, 234101 (2019).
59. Arfken, G., Weber, H. & Harris, F. Mathematical Methods for Physi-
cists: A Comprehensive Guide (Academic Press, 2012).
Acknowledgements
This work was partially supported by ONR MURI (Grant No. N00014-20-1-
2789), AFOSR MURI (Grant Nos. FA9550-20-1-0322 and FA9550-21-1-
0202), National Science Foundation (Grant Nos. DMR-1420620 and
EECS-1711230), MPS Simons Collaboration (Simons Grant No. 733682),
W. M. Keck Foundation, U.S.-Israel Binational Science Foundation (Grant
No. 2016381), and US Air Force Research Laboratory (Grant No.
FA86511820019).
Author contributions
R.E.-G. and D.N.C. conceived the idea. Q.Z. and F.O.W. developed the
theory and conducted the simulations with feedback from A.U.H. All the
authors contributed in preparing the manuscript.
42. Pelinovsky, D. E., Sukhorukov, A. A. & Kivshar, Y. S. Bifurcations and
stability of gap solitons in periodic potentials. Phys. Rev. E 70,
036618 (2004).
Competing interests
The authors declare no competing interests.
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10.1371_journal.pone.0262844.pdf
|
Data Availability Statement: All relevant data are
within the paper.
|
All relevant data are within the paper.
|
RESEARCH ARTICLE
Improvements following multimodal pelvic
floor physical therapy in gynecological cancer
survivors suffering from pain during sexual
intercourse: Results from a one-year follow-
up mixed-method study
Marie-Pierre CyrID
Paul Bessette2,5, Annick Pina6,7, Walter Henry GotliebID
He´ lène Mayrand7,10, Me´ lanie Morin1,2*
1,2, Rosalie Dostie1,2, Chantal Camden1,2, Chantale DumoulinID
3,4,
8,9, Korine Lapointe-Milot2,5, Marie-
1 Faculty of Medicine and Health Sciences, School of Rehabilitation, University of Sherbrooke, Sherbrooke,
Quebec, Canada, 2 Research Center of the Centre Hospitalier Universitaire de Sherbrooke, Sherbrooke,
Quebec, Canada, 3 Faculty of Medicine, School of Rehabilitation, University of Montreal, Montreal, Quebec,
Canada, 4 Research Center of the Institut Universitaire de Ge´ riatrie de Montre´al, Montreal, Quebec, Canada,
5 Faculty of Medicine and Health Sciences, Division of Gynecologic Oncology, Department of Obstetrics and
Gynecology, University of Sherbrooke, Sherbrooke, Quebec, Canada, 6 Faculty of Medicine, Division of
Gynecologic Oncology, Department of Obstetrics and Gynecology, University of Montreal, Montreal, Quebec,
Canada, 7 Research Center of the Centre Hospitalier de l’Universite´ de Montre´al, Montreal, Quebec,
Canada, 8 Faculty of Medicine, Division of Gynecologic Oncology, Department of Obstetrics and
Gynecology, McGill University, Montreal, Quebec, Canada, 9 Lady Davis Institute of the Jewish General
Hospital, Montreal, Quebec, Canada, 10 Faculty of Medicine, Departments of Obstetrics and Gynecology
and Social and Preventive Medicine, University of Montreal, Montreal, Quebec, Canada
* melanie.m.morin@usherbrooke.ca
Abstract
Background
A large proportion of gynecological cancer survivors suffer from pain during sexual inter-
course, also known as dyspareunia. Following a multimodal pelvic floor physical therapy
(PFPT) treatment, a reduction in pain and improvement in psychosexual outcomes were
found in the short term, but no study thus far has examined whether these changes are sus-
tained over time.
Purpose
To examine the improvements in pain, sexual functioning, sexual distress, body image con-
cerns, pain anxiety, pain catastrophizing, painful intercourse self-efficacy, depressive symp-
toms and pelvic floor disorder symptoms in gynecological cancer survivors with dyspareunia
after PFPT, and to explore women’s perceptions of treatment effects at one-year follow-up.
Methods
This mixed-method study included 31 gynecological cancer survivors affected by dyspareu-
nia. The women completed a 12-week PFPT treatment comprising education, manual
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OPEN ACCESS
Citation: Cyr M-P, Dostie R, Camden C, Dumoulin
C, Bessette P, Pina A, et al. (2022) Improvements
following multimodal pelvic floor physical therapy
in gynecological cancer survivors suffering from
pain during sexual intercourse: Results from a one-
year follow-up mixed-method study. PLoS ONE
17(1): e0262844. https://doi.org/10.1371/journal.
pone.0262844
Editor: Diego Raimondo, Dipartimento di Scienze
Mediche e Chirugiche (DIMEC), Orsola Hospital,
ITALY
Received: September 10, 2021
Accepted: January 6, 2022
Published: January 25, 2022
Copyright: © 2022 Cyr et al. This is an open access
article distributed under the terms of the Creative
Commons Attribution License, which permits
unrestricted use, distribution, and reproduction in
any medium, provided the original author and
source are credited.
Data Availability Statement: All relevant data are
within the paper.
Funding: The Quebec Network for Research on
Aging funded the current study. The Fonds de
recherche du Que´bec – Sante´ granted a
scholarship to Marie-Pierre Cyr and salary awards
to Me´lanie Morin, Chantal Camden and Marie-
He´lène Mayrand. The Canadian Research Chair Tier
PLOS ONE | https://doi.org/10.1371/journal.pone.0262844 January 25, 2022
1 / 20
PLOS ONEII on Urogynecological Health and Aging supported
Chantale Dumoulin. The laboratory infrastructures
were funded by the Canadian Foundation for
Innovation. The funders had no role in study
design, data collection and analysis, decision to
publish, or preparation of the manuscript.
Competing interests: The authors have declared
that no competing interests exist.
Multimodal pelvic floor physical therapy for cancer survivors suffering from pain during sexual intercourse
therapy and pelvic floor muscle exercises. Quantitative data were collected using validated
questionnaires at baseline, post-treatment and one-year follow-up. As for qualitative data,
semi-structured interviews were conducted at one-year follow-up to better understand wom-
en’s perception and experience of treatment effects.
Results
Significant improvements were found from baseline to one-year follow-up on all quantitative
outcomes (P � 0.028). Moreover, no changes were found from post-treatment to one-year
follow-up, supporting that the improvements were sustained at follow-up. Qualitative data
highlighted that reduction in pain, improvement in sexual functioning and reduction in urinary
symptoms were the most meaningful effects perceived by participants. Women expressed
that these effects resulted from positive biological, psychological and social changes attrib-
utable to multimodal PFPT. Adherence was also perceived to influence treatment
outcomes.
Conclusions
Findings suggest that the short-term improvements following multimodal PFPT are sus-
tained and meaningful for gynecological cancer survivors with dyspareunia one year after
treatment.
Introduction
An increasing number of women live with the deleterious, long-term consequences of cancer
[1,2]. Alongside urinary incontinence, chronic pain during sexual intercourse, also known as
dyspareunia, is one of the most common sexual health issues, affecting more than half of gyne-
cological cancer survivors [3,4]. Dyspareunia is recognized as resulting from the complex
interaction of anatomical, physiological, psychological and relationship factors related to can-
cer and oncological treatments [5], in line with the biopsychosocial model [6,7]. Vaginal steno-
sis, impaired tissue flexibility, heightened pelvic floor muscle tone and contractility
impairments as well as vaginal dryness [5,8] may contribute to experiencing pain during inter-
course. These biological factors interplay with pain anxiety (i.e., fear of pain), pain catastro-
phizing [9] and low pain self-efficacy [10], thereby intensifying the pain [11]. Gynecological
cancer survivors are also at risk of depressive symptoms and body image concerns [12,13],
which may disturb how they perceive themselves as women [14–16]. These pain and psycho-
logical factors may contribute to sexual distress [17,18]. Moreover, women who have been
treated for gynecological cancer are often affected by other sexual dysfunctions such as loss of
libido or sexual desire [17]. All this can lead to relationship difficulties [12,13], disrupting their
quality of life [19–21].
Despite the high prevalence of dyspareunia, there are limited treatment options supported
by empirical evidence. Clinical survivorship guidelines suggest multimodal pelvic floor physi-
cal therapy (PFPT) as a nonhormonal, non-pharmacological and non-invasive first-line treat-
ment to alleviate dyspareunia in cancer survivors [22–24]. Through psychosexual education,
manual therapy techniques and pelvic floor muscle exercises, PFPT targets the consequences
of oncological treatments by restoring the pelvic floor tissues [8] while providing support and
guidance to women to resume painless sexual activities [25,26]. So far, only one recent
PLOS ONE | https://doi.org/10.1371/journal.pone.0262844 January 25, 2022
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PLOS ONEMultimodal pelvic floor physical therapy for cancer survivors suffering from pain during sexual intercourse
multicenter prospective study conducted by our team investigated a 12-week PFPT treatment
in this population [27]. Significant changes in biological and psychosexual outcomes were
found following treatment [27–29]. Using a comprehensive assessment combining intra-vagi-
nal dynamometry and ultrasound imaging, pelvic floor muscle tone was significantly reduced
while tissue flexibility, muscle contractile properties, control as well as endurance significantly
improved immediately after treatment [28]. An increase in vaginal dimensions and a reduction
in vaginal atrophy signs were also measured [28]. Concurrently, pain during intercourse, sex-
ual distress, body image concerns, pain anxiety, pain catastrophizing, depressive symptoms,
urinary symptoms, vaginal symptoms and sexual matters decreased while sexual functioning
and pain self-efficacy improved after PFPT [27,29].
To date, no study has examined whether the short-term improvements following PFPT in
gynecological cancer survivors with dyspareunia are sustained over time. Long-term treatment
effects have important socioeconomic implications [30,31], and evaluating them may provide
critical insights beyond those assessed in the short term [32]. More importantly, using only
quantitative methods may not be sufficient to fully capture the extent of PFPT effects as these
are multidimensional and likely depend on the interaction of multiple factors [6]. Further-
more, it has been recently recognized that PFPT is not only a physical treatment but it is also a
behavioral treatment, which emphasizes the relevance of investigating physical, cognitive and
behavioral outcomes associated with PFPT [33]. Combining quantitative and qualitative meth-
ods would therefore provide a better understanding of the treatment effects and how they
influence each other considering the clinical context of multimodal PFPT [34,35]. This mixed-
method study aimed to examine the improvements in pain, sexual functioning, sexual distress,
body image concerns, pain anxiety, pain catastrophizing, pain self-efficacy, depressive symp-
toms and pelvic floor disorder symptoms in gynecological cancer survivors with dyspareunia
after multimodal PFPT, and to explore women’s perceptions of treatment effects at one-year
follow-up.
Materials and methods
Design and methodology
This study is a planned follow-up study of a multicenter prospective interventional study
investigating the treatment effects of multimodal PFPT for gynecological cancer survivors
with dyspareunia [27]. Our intent was to follow the whole cohort instead of a subsample in
order to most closely match the primary trial (mainly in terms of participant characteristics
and study outcomes) [32]. This research was conducted in Sherbrooke and Montreal (Can-
ada). Changes from baseline to post-treatment have been published elsewhere [27–29], and
changes from baseline and post-treatment to one-year follow-up will be the focus of the
present manuscript. The participants underwent baseline, post-treatment and one-year fol-
low-up assessments. Quantitative data were collected at all time points. To ascertain and
advance our understanding of treatment effects at one-year follow-up, individual semi-
structured telephone interviews were carried out to collect qualitative data [34,35]. This
research was approved by the Ethics Review Board of the CIUSSS de l’Estrie–CHUS (MP-
31-2016-1322) and was registered on ClinicalTrials.gov (NCT03935698). Participants pro-
vided written informed consent.
Participants
Women were included according to the following criteria: (i) all planned oncological treat-
ments for either endometrial or cervical cancer (stages ranging from I to IV) completed for
at least three months; (ii) in remission given the absence of disease on radiologic imaging
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PLOS ONEMultimodal pelvic floor physical therapy for cancer survivors suffering from pain during sexual intercourse
for at least three months; (iii) moderate to severe vulvovaginal pain during sexual inter-
course (i.e., pain at the entry of the vagina and at the mid-vagina, at the level of the pelvic
floor muscles), corresponding to a pain intensity of 5 or more on a Numerical Rating Scale
(NRS) ranging from 0 (no pain) to 10 (worst pain); (iv) vulvovaginal pain experienced in
more than 80% of sexual intercourse for at least three months; (v) a stable sexual partner;
and (vi) willingness to attempt vaginal penetrations. A gynecologic oncologist of our team
at each site performed a standardized gynecological examination to rule out other condi-
tions possibly causing dyspareunia (e.g., vaginitis, cystitis or dermatitis). Exclusion criteria
were: (i) inability to communicate in French or English; (ii) dyspareunia prior to cancer or
pelvic pain unrelated to intercourse; (iii) other pelvic conditions including urinary tract or
vaginal infection, deep pelvic pain (i.e., pain experienced in the abdomen with deep pene-
tration), chronic constipation, severe pelvic organ descent based on the Pelvic Organ Pro-
lapse–Quantification system (stage III or more); (iv) other primary pelvic cancer or breast
cancer; (v) any history of vulvar, vaginal or pelvic surgery unrelated to cancer; (vi) PFPT in
the last year; (vii) changes in the use or dosage of menopausal hormone therapy in the last
six months; (viii) a major medical or psychological condition likely to interfere with study
procedures; or (ix) refusal to abstain from using other treatments for dyspareunia until the
post-treatment assessment.
Treatment content
The treatment protocol was designed by a multidisciplinary team consisting of experts in gyne-
cologic oncology, physical therapy, psychology and sexual health. The treatment included 12
weekly sessions of 60 minutes with a physical therapist certified and experienced in pelvic and
women’s health. The treatment components were chosen to reflect practice in a clinical setting
[36]. At each session, the physical therapist provided information, advice and support to
women. She explained the underlying mechanisms of chronic pain experienced during sexual
intercourse after gynecological cancer including the role of the pelvic floor muscles and how
the treatment could help to reduce the pain. She gave additional information about how to
manage chronic pain and other pelvic floor disorder symptoms (e.g., bladder training). The
use of relaxation techniques using deep breathing as well as the application of vaginal lubri-
cants and moisturizers were encouraged. The physical therapist also helped the participants
gain more knowledge about sexual functioning (i.e., physiology of desire, excitation and
orgasm) and guided them into resuming non-painful sexual activities with their partners. The
latter was invited to participate in the treatment to help his partner in this process. Moreover,
the physical therapist was available to further discuss topics with the participants who were
invited to reflect on their sexual difficulties in order to overcome them with the help of their
therapist. At each session, manual therapy techniques (i.e., stretching, myofascial release and
tissue desensitization) and pelvic floor muscle exercises with electromyography biofeedback
(i.e., relaxation, motor control, strength and endurance) using a small intra-vaginal probe
were used. Women were also asked to perform home exercises resembling those performed
under supervision five times per week as well as auto-insertion exercises with a finger or
graded vaginal dilator in addition to desensitization techniques three times per week.
Throughout the treatment, the physical therapist supervised each woman’s progress and pro-
vided feedback. Additionally, modalities were intensified (e.g., more pressure applied to stretch
the tissues, longer duration of the technique or exercise and greater dilator size) following each
woman’s progress. At the end of the treatment, women were encouraged to pursue home exer-
cises two to three times per week to maintain the effects of treatment. Further details of the
treatment modalities are presented elsewhere [27].
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PLOS ONEMultimodal pelvic floor physical therapy for cancer survivors suffering from pain during sexual intercourse
Data collection
Participants were assessed at baseline, post-treatment and one-year follow-up. Sample charac-
teristics were collected at baseline. At each time point, quantitative outcomes were assessed
using validated scales and questionnaires. After the collection of quantitative data at one-year
follow-up, an individual semi-structured telephone interview was conducted in French or in
English to further explore women’s perceptions of treatment effects. Participants were also
asked if there were any changes regarding their health (e.g., cancer recurrence), if they were
pursuing the home exercises, if they had attempted other treatments for pain or sexual dys-
function and if their relationship status had changed during the follow-up period.
Study outcomes
Quantitative. The NRS was used to evaluate the average intensity of pain during inter-
course [37]. The McGill Pain Questionnaire (MPQ) was used to qualify the pain according to
its sensory, affective and evaluative dimensions, with higher scores corresponding to more sig-
nificant pain [38]. The Female Sexual Function Index (FSFI) was used to examine sexual func-
tioning including desire, arousal, lubrication, orgasm, satisfaction and pain, with higher total
scores representing a better sexual function [39,40]. The Female Sexual Distress Scale-Revised
(FSDS-R) was used to assess sexual distress, with higher scores relating to more sexual distress
[41,42]. The Body Image Scale (BIS) was administered to evaluate body image concerns, with
higher scores indicating greater concerns [43]. The Pain Anxiety Symptom Scale (PASS),
which is an indirect measure of fear of pain during intercourse, was used to assess pain-related
anxiety, with higher scores indicating more severe pain anxiety [44]. The Pain Catastrophizing
Scale (PCS) was used to evaluate the exaggerated negative cognitions and emotions regarding
pain, with higher scores pointing to greater pain catastrophizing [45]. The Painful Intercourse
Self-Efficacy Scale (PISES) was used to assess pain self-efficacy associated with painful sexual
intercourse, with higher scores representing better self-efficacy [46]. The Beck Depression
Inventory-II (BDI-II) was used to evaluate depressive symptoms, with higher scores corre-
sponding to higher severity of symptoms [37]. Pelvic floor disorder symptoms including uri-
nary symptoms, vaginal symptoms and sexual matters were assessed with the International
Consultation on Incontinence Questionnaire (ICIQ) modules. The ICIQ-Urinary Inconti-
nence Short Form (ICIQ-UI SF) was used for urinary symptoms [47] and the ICIQ-Vaginal
Symptoms (ICIQ-VS) for vaginal symptoms and sexual matters [48], with higher scores repre-
senting more symptoms or sexual matters [47,48]. In addition, the Patient Global Impression
of Change (PGIC) allowed the participants to self-report their perceived improvement (catego-
ries ranging from very much improved to very much worse) [49].
Qualitative. Prior to their individual semi-structured telephone interview, participants
were informed of the interview topics and invited to reflect on the treatment effects they per-
ceived and how these effects evolved over time during the follow-up period. Each interview
lasted approximately 70 minutes. The first author (MPC) underwent qualitative research train-
ing to conduct all the interviews. She was not involved in participants’ care and was blinded to
the participants’ responses in the questionnaires to avoid any preconceived ideas about the
treatment effects. Before conducting the interviews, the interviewer reconfirmed the women’s
consent to participate in the interviews and for recording the conversation. She used a non-
judgmental approach and created a trustful and respectful relationship to ease the discussion
of what could be perceived by participants as sensitive topics. Interviews followed a semi-struc-
tured guide co-constructed by the first author (MPC), the principal investigator (MM) and
another research team member who has extensive experience conducting qualitative research
(CC) (see S1 File for the interview guide). The interview questions related to this manuscript’s
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PLOS ONEMultimodal pelvic floor physical therapy for cancer survivors suffering from pain during sexual intercourse
research objective focused on women’s perceptions of treatment effects and their hypotheses
about factors influencing these effects. Probing questions aimed to obtain in-depth informa-
tion about participants’ perceptions of treatment effects, exploring short-term effects previ-
ously documented in quantitative research [27–29] and using a biopsychosocial approach of
health to explore any further effects and factors perceived to influence these effects [6,7]. The
semi-structured guide was pilot-tested with a patient partner under the supervision of the
principal investigator (MM) and the other research team member (CC).
Sample size
An a priori sample size was calculated for the multicenter prospective interventional study
based on the proportion of completed home exercises (80%) as adherence was suggested as
being important to perceive significant effects in physical therapy [50]. With a confidence level
of 95%, an interval width of 30%, and to account for potential dropouts over time (15%), a
total of 31 women were initially recruited for quantitative purposes (further details are avail-
able elsewhere) [27]. All these women were invited to take part in an individual semi-struc-
tured telephone interview to explore all of the various perceptions of treatment effects.
Data analysis
Quantitative data analysis was performed using IBM SPSS Statistics 27 (IBM Corporation,
Armonk, N.Y., USA). Descriptive statistics were used to present baseline and one-year sample
characteristics as well as PGIC results. Intention-to-treat analyses (i.e., all participants are
included in the statistical analysis, regardless of their level of adherence) were conducted to
explore whether the improvements in all outcomes were sustained at one-year follow-up. Out-
comes at baseline and one-year follow-up as well as the changes from baseline and post-treat-
ment to one-year follow-up are reported and expressed as mean estimated values (95%
confidence interval) according to linear mixed modeling with Bonferroni correction [51–53].
Models included time as the fixed effect and random intercepts for each subject to account for
repeated measures (i.e., to accommodate within-subject correlation). Statistical significance
was set at p-value < 0.05 (two-tailed).
Qualitative data analysis was based on the audio-recorded interviews which were transcribed
and analyzed by the first author (MPC) using NVivo (version 12) software. A thematic analysis
was adopted to ensure data-driven analyses and interpretations [54]. Specifically, an inductive
approach was used when the first author (MPC) coded key ideas and started identifying emerg-
ing themes. Subsequently, another team member (RD) reviewed the codes. Coding disagree-
ments were discussed until a consensus was achieved. Codes were reviewed by two research
team members (MM and CC), and several meetings were held to regroup codes into themes.
Relationships between themes were explored by observing patterns across themes. As most of
the original quotations used in this manuscript were in French, they were translated into English
and revised by a certified translator. Field notes were used to explore researcher reflexivity and
further support the data interpretation. It should be noted that results from quantitative and
qualitative methods were integrated during the interpretation phase of the study.
Results
Participant characteristics
Thirty-one women enrolled initially in this study. Fig 1 shows the flow of participants through
the study. Additional details on screening and eligibility assessments are available elsewhere
[27].
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PLOS ONEMultimodal pelvic floor physical therapy for cancer survivors suffering from pain during sexual intercourse
Fig 1. Flow of participants through the study.
https://doi.org/10.1371/journal.pone.0262844.g001
Baseline sample characteristics (n = 31) are presented in Table 1. Before the multimodal
PFPT treatment, women had an average pain intensity of 7.3 (6.7 to 8.0) on the NRS and
the median duration of pain was approximately three years. Of the 29 women assessed at
one-year follow-up, three reported having had a cancer recurrence or another cancer dur-
ing the follow-up period, and one was recovering from a severe upper urinary tract
infection.
Study outcomes
Quantitative. The quantitative outcomes assessed at baseline and one-year follow-up as
well as the changes from baseline and post-treatment to one-year follow-up are presented in
Table 2. Significant improvements were found from baseline to one-year follow-up on all out-
comes (P � 0.028). Moreover, changes from post-treatment to one-year follow-up were statis-
tically non-significant (P � 0.084), suggesting that the improvements were maintained over
time. Of the 29 women assessed at one-year follow-up, 25 (86%) reported being very much or
much improved. The others reported minimal improvements (7%), no changes (3%) or being
minimally worse (3%) compared to baseline. Concerning the adherence to home exercises, 18
(62%) performed the pelvic floor muscle exercises during the follow-up period, with a median
frequency of three times (two to eight) per month. Moreover, 10 (34%) participants performed
the auto-insertion exercises, with a median frequency of three times (one to five) per month.
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PLOS ONEMultimodal pelvic floor physical therapy for cancer survivors suffering from pain during sexual intercourse
Table 1. Sample characteristics at baseline.
Characteristics
Age (years), mean (SD)
Body mass index (kg/m2), mean (SD)
Cancer type, n (%)
Endometrial
Cervical
Disease stage, n (%)
I
II
III
IV
Time since oncological treatments (months), median (Q1 to Q3)
Oncological treatments, n (%)
Surgery alone
Surgery + brachytherapy or external beam radiation therapy
Surgery + brachytherapy + external beam radiation therapy + chemotherapy
Surgery + chemotherapy
Brachytherapy + external beam radiation therapy + chemotherapy
SD, standard deviation; n, number of participants; Q1, first quartile; Q3, third quartile.
https://doi.org/10.1371/journal.pone.0262844.t001
Value
55.9 (10.8)
28.5 (5.3)
20 (64.5)
11 (35.5)
19 (61)
6 (19)
5 (16)
1 (3)
38 (9 to 70)
9 (29)
6 (19)
7 (23)
2 (6)
7 (23)
No women stated having attempted other treatments for pain or sexual dysfunction during
this period, and only one reported being no longer with her partner at one-year follow-up.
Qualitative. Three main themes were described by participants as the most meaning-
ful treatment effects for them in terms of symptoms or functioning: (a) reduction in pain
during intercourse; (b) improvement in sexual functioning; and (c) reduction in urinary
symptoms. These themes are detailed below along with participants’ perceived modulating
and contributing factors. Modulating factors were defined as the factors altering the mag-
nitude of the main effects (e.g., adherence) while contributing factors were those
described as other treatment effects which influenced positively the main effects (e.g.,
reduction in muscle tensions). Fig 2 illustrates how the main treatment effects (in black)
interacted and were influenced by various biological, psychological or social factors (in
grey).
THEME 1. Reduction in pain during intercourse. All participants reported experiencing less
pain during intercourse, with several stating having no pain at all since the end of the PFPT
treatment. Although the majority expressed that this effect was maintained, a small number of
women said that the pain reduction was attenuated at one-year follow-up. Among the poten-
tial explanations, some of them suggested that discontinuing home exercises or stopping regu-
lar sexual intercourse with vaginal penetration might have contributed to this depletion effect.
“It fixed my pain problem and it lasted over time.”–C02
“I would say that it has deteriorated a bit since, but it’s my fault because I didn’t keep doing
the exercises long enough. I know if I resumed the exercises it would get better. However, it
[the pain] hasn’t come back to how it was before; in other words what has been done has been
of benefit. Having sexual intercourse regularly helps to ensure these gains are maintained in a
way.”–C12
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PLOS ONEMultimodal pelvic floor physical therapy for cancer survivors suffering from pain during sexual intercourse
Table 2. Outcomes at baseline (n = 31) and one-year follow-up (n = 29) and changes from baseline and post-treatment to one-year follow-up.
Pain intensity NRS (0–10)
7.3 (6.7 to 8.0)
2.7 (2.0 to 3.3)
-4.6 (-5.7 to -3.6)
Baseline
One-year follow-up Changes from baseline to
follow-up
Pain quality MPQ (0–78)
21.1 (17.6 to 24.6)
6.7 (3.1 to 10.4)
-14.4 (-20.5 to -8.3)
Sexual function FSFI (2–36)
Sexual distress FSDS-R (0–52)
18.9 (16.3 to 21.4)
(n = 20)b
26.7 (22.3 to 31.1)
23.4 (20.8 to 26.0)
(n = 18)b
16.6 (12.1 to 21.1)
4.6 (1.0 to 8.1)
-10.0 (-15.7 to -4.4)
Body image concerns BIS (0–30)
6.4 (4.8 to 7.9)
3.0 (1.4 to 4.6)
-3.4 (-5.4 to -1.3)
Pain anxiety PASS (0–100)
37.5 (32.4 to 42.7)
23.7 (18.4 to 28.9)
-13.9 (-21.6 to -6.2)
Pain catastrophizing PCS (0–52)
20.9 (16.6 to 25.2)
8.3 (3.9 to 12.7)
-12.6 (-18.1 to -7.1)
Painful intercourse self-efficacy
PISES (10–100)
63.6 (58.1 to 69.0)
80.6 (75.0 to 86.2)
17.1 (10.1 to 24.1)
Depressive symptoms BDI-II (0–63)
10.9 (8.0 to 13.9)
7.5 (4.5 to 10.5)
Urinary symptoms ICIQ-UI (0–21)
3.8 (2.5 to 5.2)
1.8 (0.4 to 3.3)
Vaginal symptoms ICIQ-VS (0–53)
13.5 (11.5 to 15.4)
7.2 (5.2 to 9.2)
-3.5 (-6.6 to -0.3)
-2.0 (-3.3 to -0.6)
-6.3 (-8.6 to -4.0)
Sexual matters ICIQ-VS (0–58)
43.7 (37.7 to 49.7)
(n = 24)c
20.9 (14.8 to 27.0)
(n = 23)c
-22.8 (-32.3 to -13.4)
Pa
<
0.001
<
0.001
0.009
<
0.001
<
0.001
<
0.001
<
0.001
<
0.001
0.028
0.002
<
0.001
<
0.001
Changes from post-treatment to
follow-up
1.0 (-0.1 to 2.0)
-0.5 (-6.7 to 5.6)
-2.8 (-6.2 to 0.5)
2.7 (-2.9 to 8.4)
0.1 (-1.9 to 2.1)
2.8 (-5.0 to 10.5)
0.6 (-5.0 to 6.1)
-6.3 (-13.4 to 0.7)
1.1 (-2.1 to 4.2)
-0.5 (-1.8 to 0.9)
-0.4 (-2.7 to 1.9)
1.2 (-8.0 to 10.3)
Pa
0.084
1.000
0.119
0.708
1.000
1.000
1.000
0.095
1.000
1.000
1.000
1.000
The data shown are the mean estimated values (95% confidence interval) derived from the linear mixed models.
a P-values extracted from the linear mixed modeling with Bonferroni correction.
b Eleven women at baseline and 11 women at one-year follow-up did not engage in sexual activities including vaginal penetration in the last month and thereby, due to
the one-month time frame used in the FSFI questionnaire, their total score could not be compilated. Reasons for not engaging in such activities at one-year follow-up:
4 = partner-related reasons including lack of sexual desire or medical problems such as erectile problems; 4 = participant-related reasons including lack of sexual desire
(n = 2) or pain during intercourse (n = 2) although they reported a pain reduction of 4.5 and 5 on the NRS from baseline to one-year follow-up; 2 = relationship-related
difficulties; 1 = medical indication to not engage due to vaginal bleeding unrelated to PFPT.
c Seven participants at baseline and six at one-year follow-up did not engage in any form of sexual activities in the last month (time frame of ICIQ-VS for sexual
matters).
https://doi.org/10.1371/journal.pone.0262844.t002
Every participant associated the pain reduction with pelvic floor tissue changes. They
noticed that the muscle tensions decreased while the tissue flexibility increased, attributing this
to the manual techniques and the exercises. Some emphasized that relaxation techniques such
as deep breathing promoted muscle relaxation, reduction of tensions, and hence, a pain relief.
Overall, the women related these tissue changes to a less tense or deeper vagina, which allowed
them to be more at ease and helped them to have a more complete and comfortable vaginal
penetration with less or no pain.
“All the exercises [contraction and stretching] I had done and what the physical therapist had
done removed the tension and loosened me up. It felt good. Penetration was easier.”–C01
“The stretching we did reduced my pain because when it stretches better, it’s less painful. Oth-
erwise, I felt like the skin inside wanted so badly to split because, before, it wouldn’t stretch.”–
C18
“Breathing helps because I think when you calm down, it’s less contracted and there’s more
flexibility for the activity.”–C16
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PLOS ONEMultimodal pelvic floor physical therapy for cancer survivors suffering from pain during sexual intercourse
Fig 2. Relationships between treatment effects that emerged from the interviews.
https://doi.org/10.1371/journal.pone.0262844.g002
Many women also observed becoming more aware of the pelvic floor musculature and its
relationship with pain. During the PFPT treatment, they recalled gaining control over their
muscles and developing muscle awareness. Motor control was noted as being important by the
participants to break a chain of events involving the pelvic floor muscles and pain.
“When you are calmer, it [the pelvic floor muscle] is less contracted, so it is more flexible. [. . .]
Before the treatments, I didn’t know how to do [relax my muscles], I was tense. Now, I have
techniques that last over time. [. . .] I have gone from. . . not hysteria, but from an uncon-
trolled fear to something more serene. I am calmer when considering having sex, I am more
welcoming.”–C16
Our participants often mentioned being reassured knowing how to influence the pain.
They frequently expressed being less afraid of pain because they understood what led to their
symptoms and were taught relevant and effective tools to reduce it.
“After cancer treatments, you feel diminished. Will it come back as before? I was starting to be
afraid. With physical therapy, you feel less diminished. It seemed as if it was finally possible
that things could get better. When I got into the program, it was another story as I realized it
was possible to improve, and it was much less upsetting, less scary. It’s because we found
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PLOS ONEMultimodal pelvic floor physical therapy for cancer survivors suffering from pain during sexual intercourse
where it hurt most. It’s about understanding. . . It’s partly confidence, partly the fear that’s
gone.”–C124
Consequently, they explained that they were feeling more in control, self-efficient and
hopeful while being less anxious about their pain. Some participants even emphasized that
they were no longer afraid to undergo gynecological examinations. Experiencing less pain dur-
ing intercourse also enhanced these feelings, which in turn amplified their self-esteem and
confidence to engage in sexual activities. They felt less distressed, with several highlighting that
fact they were less depressed and more positive in their everyday lives.
“And what I also learned was that I felt that I could influence my pain. When it’s less painful,
less tight, you are more relaxed, you have more confidence and you let go more easily. Psycho-
logically, I could say that I felt I was moving further away from the operation and its negative
side. I found that I was getting closer to a more normal life, as it was before, in a sense. . . with-
out much difficulty. Yes, it’s vague, isn’t it? Well, normal life. . . having sex again, get away
from the cancer thing.”–C115
THEME 2. Improvement in sexual functioning. All women reported improvement in their
sexual functioning following PFPT. Although a low proportion of participants did not perceive
changes in their sexual functioning in terms of lubrication and libido or sexual desire, the vast
majority mentioned their vagina being less dry and more naturally lubricated during sexual
activities. Among other things, several women emphasized not needing to use vaginal products
anymore and reported being less stressed and more interested in engaging in sexual activities.
“The lubrication. . . it all came basically together after the treatment. Sure, at first I needed
some lubricant, but little by little, as I worked, it just faded so I didn’t need the lubricant any-
more.”–C09
The perceptions relating to pain reduction described previously could also suggest how par-
ticipants felt about sexuality. Many of them reported being more interested in engaging given
the pain reduction and the positive emotions and thoughts they developed about their sexual
identity. Some women associated their increased sexual desire to the improved perception of
their body, which defined them as women. They grew to accept themselves, sensed that their
body belonged to them and reclaimed it. Participants specified that this body re-appropriation
helped them to express themselves sexually as women. They were able to have sexual inter-
course with vaginal penetration rather than endure the barriers induced by cancer, which
hampered them. Consequently, they referred to being complete women and having a more
normal life. Participants related that regaining the capacity of having intercourse helped them
initiate and engage in sexual activities, which in turn increased their femininity.
“I could see that there were still defects in my body since the operation and all that, and psy-
chologically it disturbed me. Now, I let myself go more. There is a connection that has been
made with my body and my whole person. I participate more with my body now, which I
didn’t before. I had an easier time opening up to sexuality. That’s why I say it really. . .
changed my life. Physical therapy is beneficial, it is a psycho-unblocker.”–C100
“Knowing what to do to have intercourse and being able to have it [sexual intercourse] really
made me feel like a woman. I am very happy to have learned to control my body better and to
be able to have a more fulfilling sex life. It’s like. . . I feel like more of a complete woman, I
don’t know. . . entirely a woman.”–C11
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“Basically, sexuality is more about being a complete woman, [. . .] Now, if I feel like having
sex, I can have it. [. . .] So, life for me is much more normal than it used to be. It changed my
life, it gave me back intimacy. So, we’re less active than we were, but at least if we want to, we
can! So that’s the difference.”–C10
Participants also recognized that they were more comfortable talking about sexuality. They
stressed that this led them to communicate more about their feelings and difficulties to their
partner. As a result, participants and their partners were more capable of adapting their behav-
ior, and when considering physical intimacy, it was therefore less stressful and more pleasur-
able. Furthermore, participants said that because they had less pain during intercourse, their
partner was less afraid to hurt them, and this dynamic was helpful for the couple to be physi-
cally intimate.
“I was also able to talk about it [thoughts about intercourse] with my partner because I had
not talked about it before. When I had intercourse before, it was because I felt obliged. It was
very rare that we had any. With the study, it was like day and night, winter and summer. It
was like having sex two or three times a week by the end of the study.”–C06
“I was no longer in pain. . . well, for sure in our intimate relationship and all that there was a
letting go so that was really amazing. Less fear, less apprehension. Yes, I think it reassured my
husband a lot to see that it was going well, that it was getting better. He was also less afraid of
hurting me and he was more reassured that there were two of us in this sexual activity.”–C08
Because they were more communicative, most women acknowledged that they and their
partner discussed their sexuality and intimacy more openly. Those who did not report any
changes in this regard claimed their relationship was already strong and without issues before
enrolling in the study. The former noticed that they and their partner were closer to each
other, discovered and tried new ways to express their love. Several participants spoke of how it
became more affectionate than sexually demonstrative with intercourse during the one-year
follow-up period. For a handful of women, this was accentuated if there had been a significant
event (e.g., cancer recurrence), low sexual desire, pain during intercourse or a medical condi-
tion of the partner.
“It helped me to understand how my body reacted to a lot of things, to understand that I was
not alone and it helped me to accept myself and accept living my sex life in a different way. It
[the treatment] allowed us to make different connections. There is a lot, really a lot of affec-
tion. It starts slowly, and, in the end, it becomes intense. This is what is new, this is what we
learned.”–C17B
THEME 3. Reduction in urinary symptoms. Half of the sample experienced either stress uri-
nary incontinence, urgency urinary incontinence or symptoms of urinary urgency before the
study and all women reported significant improvements following PFPT. Participants
observed that the pelvic floor muscle exercises in addition to bladder training increased their
muscle awareness, strength and endurance to activate their pelvic floor muscles when needed.
For instance, it gave them the means to delay the urge to urinate or to hold the urine for longer
periods.
“Before, I used to go to the bathroom. . . a lot! Almost every hour, and now I go like three or
four times a day and that’s enough. So, for sure, there is a difference there as well.”–C14
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PLOS ONEMultimodal pelvic floor physical therapy for cancer survivors suffering from pain during sexual intercourse
“I used to go to the bathroom all the time, all the time, and she [the physical therapist] gave
me some tips for the bladder and exercises, and it’s getting better in that respect too.”–C111
“All the exercises, the squeezing and all that helped. You squeeze and it calms your bladder. I
didn’t think it would work. Listen, I can even hold my urine when I go to the bathroom. . .
Before, when I saw the toilet, I had to run and when I saw the toilet bowl, I leaked two or
three drops. But now, I am able to hold it. I know what to do.” –C10
Interestingly, two women said that having had painful urination and difficulty retaining
high volumes of urine since the oncological treatments and they explained that, by releasing
tensions in the pelvic area, the PFPT modalities such as manual therapy and auto-insertion
exercises helped them to resolve these issues.
“It was stiff near the bladder and it hurt. I felt the bladder was jammed, it was like there was
no room for it to fill up. So, the physical therapy helped to relax the tensions and my bladder
had more room so I needed to urinate less often. At night, I used to get up every three hours, I
get up less now, so I sleep better. Everything is going in the right direction.”–C17B
Discussion
This mixed-method study provides evidence that the improvements in pain, sexual function-
ing, sexual distress, body image concerns, pain anxiety, pain catastrophizing, painful inter-
course self-efficacy, depressive symptoms, urinary symptoms, vaginal symptoms and sexual
matters following multimodal PFPT can be sustained at one-year follow-up in gynecological
cancer survivors with dyspareunia. Furthermore, reduction in pain during sexual intercourse,
improvement in sexual functioning and reduction in urinary symptoms were reported by par-
ticipants as the most meaningful effects during the interviews. In addition, participants
expressed these treatment effects in relation to adherence. They also emphasized that the treat-
ment led to positive biological, psychological and social changes which contributed to the
improvements in dyspareunia and sexual functioning.
This is the first study to examine whether the short-term improvements following multi-
modal PFPT are maintained over time in gynecological cancer survivors affected by dyspareu-
nia [55]. Interventional studies conducted to date in women who had been treated for
gynecological cancer were not specific to dyspareunia (e.g., urinary incontinence, vaginal atro-
phy or low sexual desire) [56–64]. To our knowledge, only a few cohort studies included a fol-
low-up assessment beyond six months [60,62,65,66]. Improvement in sexual functioning have
been seen following interventions integrating psychosexual education and unsupervised pelvic
floor exercises in gynecological cancer survivors [60,62], which is consistent with the current
study. However, their target population was different as women with or without symptoms
were included immediately after oncological treatments. The experimental interventions were
also designed to prevent or address common symptoms in gynecological cancer survivors
while not specifically targeting dyspareunia [60,62]. In contrast, our sample was probably
more affected at baseline as all women presented a pain intensity of more than 5 on the NRS
for a median duration of three years, representing chronic moderate-to-severe dyspareunia
[67,68]. Despite this chronicity and severity, it is noteworthy that participants still observed
and reported sustained significant effects one year later.
The women in the present study expressed meaningful improvements in pain during inter-
course, sexual functioning and urinary symptoms that lasted one year after PFPT. Similar find-
ings were found in studies investigating multimodal PFPT effects in younger women suffering
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PLOS ONEMultimodal pelvic floor physical therapy for cancer survivors suffering from pain during sexual intercourse
from vulvar pain with no history of cancer, although the available data is limited to a six-
month follow-up in this population [69,70]. Morin et al. [70] in a large multicenter random-
ized controlled trial (n = 212) revealed reductions in pain and sexual distress with improved
sexual functioning from baseline to six-month follow-up, compared to topical lidocaine, a fre-
quent first-line treatment. Moreover, a recent Cochrane meta-analysis concluded that pelvic
floor muscle training can reduce or cure urinary symptoms in women without a history of can-
cer [71], which is in line with our results. It is worth noting that the majority of studies con-
ducted in women affected by dyspareunia with no history of cancer applied quantitative
methods to evaluate the effects of multimodal PFPT [69,70,72]. A quantitative research design
could only provide a narrow view of PFPT effects, as demonstrated in the current study.
Quantitative results combined with the participants’ inputs suggest that multimodal PFPT
improved multiple dimensions of the biopsychological framework of dyspareunia [6,9,11,73],
and these improvements remained at one-year follow-up. More precisely, the effects on pain
during intercourse, sexual functioning and urinary symptoms were explained by gynecological
cancer survivors through biological, psychological and social changes attributable to PFPT
modalities. Gynecological cancer survivors emphasized the role of multimodal PFPT in the
effects perceived and how it helped them to achieve pain-free sexual activities or improve their
sexual functioning or behavior. It is notable that the treatment not only improved the pelvic
floor tissues, as observed in short-term studies using objective tools [28,72,74], but also had a
direct or indirect positive impact on psychological and social dimensions according to our
cohort. Qualitative data suggested that performing PFPT exercices or having sexual inter-
course regularly could be important to retain the biological changes related to pain for certain
women. These details show that treatment effects over time could depend on adherence in the
long term. Comparing our results to the studies conducted in women with no history of can-
cer, only two studies [75,76] to date have investigated the improvements following myofascial
release techniques [76] and multimodal PFPT at three-month follow-up using a shorter inter-
view [75] for dyspareunia in young women. The latter study reported similar effects in regard
to muscle awareness, knowledge and communication about pain, self-efficacy, self-esteem,
sexual confidence, attitudes about sexuality and relationship with the partner [75]. However, it
should be underlined that our group of participants was still experiencing substantial effects at
one-year follow-up after PFPT even though they had been treated for cancer, were older and
had had dyspareunia for a median duration of three years. As opposed to previous work
[75,76], our study is the first to triangulate data from different methods and to present exten-
sively qualitative findings about multimodal PFPT effects by reporting the participants’ inputs
that supported our interpretation while providing a deeper understanding. Overall, our find-
ings suggest multimodal PFPT as a biopsychosocial treatment for reducing dyspareunia and
improving sexual functioning.
The main strength of this study is the integration of quantitative and qualitative methods to
allow data triangulation and complementarity to fully capture the treatment effects [77–79].
Validated scales and questionnaires were used to assess the quantitative outcomes. Intention-
to-treat analyses were conducted and considered multiple comparisons as well as missing data.
The high participation rate in qualitative interviews promoted a wide range of perspectives
and shed light on how multimodal PFPT could have influenced dimensions other than the
well-known biological dimension. The mixed-method design has allowed us to illustrate elo-
quently the quantitative findings supported by statistics and through the perceptions of
women. Our results should, however, be interpreted within the context of certain limitations.
The absence of a control group limits the causal inference. Nonetheless, the women’s percep-
tions support the role of PFPT in leading to these effects. They also did not attempt other treat-
ments during the follow-up period. Moreover, it is unlikely that they would have improved
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PLOS ONEMultimodal pelvic floor physical therapy for cancer survivors suffering from pain during sexual intercourse
without any treatment, given that they were suffering from dyspareunia for a median time of
approximately three years and that sexual issues tend to persist over time [80,81]. Even though
these aspects are suggestive of a causal inference of PFPT on outcomes, a randomized con-
trolled trial is ultimately required to confirm the long-term efficacy of this treatment. As the
PFPT treatment combined multiple modalities, it is difficult to isolate their respective effect on
the outcomes. Moreover, determining precisely how the treatment effects (i.e., reduction in
pain during intercourse, improvement in sexual functioning and reduction in urinary symp-
toms) and their modulating and contributing factors (i.e., adherence as well as biological, psy-
chological and social changes) interacted was not feasible. It is worth mentioning that it has
frequently been reported that these may overlap and influence each other dynamically and dif-
ferently among gynecological cancer survivors [18,82,83]. A biopsychosocial treatment
approach could have contributed to the magnitude of the effects [26].
Conclusions
Findings of this one-year follow-up mixed-method study suggest that the short-term improve-
ments in pain during sexual intercourse, sexual functioning and urinary incontinence follow-
ing PFPT can be sustained over time in gynecological cancer survivors with dyspareunia.
Although a randomized controlled trial is still required to confirm the efficacy, multimodal
PFPT showed beneficial effects of treating dyspareunia in this population through biological,
psychological and social changes after one year. The study therefore supports the biopsychoso-
cial role of multimodal PFPT in gynecological cancer survivors who are frequently affected by
pain and other types of sexual dysfunction. This treatment could be implemented in multidis-
ciplinary cancer care.
Supporting information
S1 File. Semi-structured interview guide.
(DOCX)
Acknowledgments
We would like to extend our gratitude to the physical therapists involved in the treatments and
assessments. We would also like to thank all the study participants for their support and dedi-
cation to this research project.
Author Contributions
Conceptualization: Marie-Pierre Cyr, Chantal Camden, Chantale Dumoulin, Me´lanie Morin.
Data curation: Marie-Pierre Cyr.
Formal analysis: Marie-Pierre Cyr, Rosalie Dostie, Chantal Camden, Me´lanie Morin.
Funding acquisition: Marie-Pierre Cyr, Chantale Dumoulin, Paul Bessette, Walter Henry
Gotlieb, Me´lanie Morin.
Investigation: Marie-Pierre Cyr, Chantale Dumoulin, Paul Bessette, Annick Pina, Walter
Henry Gotlieb, Korine Lapointe-Milot, Me´lanie Morin.
Methodology: Marie-Pierre Cyr, Chantal Camden, Chantale Dumoulin, Paul Bessette, Annick
Pina, Walter Henry Gotlieb, Marie-He´lène Mayrand, Me´lanie Morin.
Project administration: Marie-Pierre Cyr, Chantale Dumoulin, Me´lanie Morin.
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PLOS ONEMultimodal pelvic floor physical therapy for cancer survivors suffering from pain during sexual intercourse
Resources: Marie-Pierre Cyr.
Supervision: Chantale Dumoulin, Me´lanie Morin.
Validation: Marie-Pierre Cyr, Me´lanie Morin.
Visualization: Marie-Pierre Cyr.
Writing – original draft: Marie-Pierre Cyr.
Writing – review & editing: Marie-Pierre Cyr, Rosalie Dostie, Chantal Camden, Chantale
Dumoulin, Paul Bessette, Annick Pina, Walter Henry Gotlieb, Korine Lapointe-Milot,
Marie-He´lène Mayrand, Me´lanie Morin.
References
1. Howlader N, Noone AM, Krapcho M, Miller D, Brest A, Yu M, et al. SEER Cancer Statistics Review,
1975–2017, National Cancer Institute. Bethesda, 2020.
2.
Torre LA, Islami F, Siegel RL, Ward EM, Jemal A. Global cancer in women: burden and trends. Cancer
Epidemiol Biomarkers Prev. 2017; 26:444–57. https://doi.org/10.1158/1055-9965.EPI-16-0858 PMID:
28223433
3. Rutledge TL, Heckman SR, Qualls C, Muller CY, Rogers RG. Pelvic floor disorders and sexual function
in gynecologic cancer survivors: a cohort study. Am J Obstet Gynecol. 2010; 203:514 e1–7. https://doi.
org/10.1016/j.ajog.2010.08.004 PMID: 20869691
4. Stinesen Kollberg K, Waldenstrom AC, Bergmark K, Dunberger G, Rossander A, Wilderang U, et al.
Reduced vaginal elasticity, reduced lubrication, and deep and superficial dyspareunia in irradiated
gynecological cancer survivors. Acta Oncol. 2015; 54:772–9. https://doi.org/10.3109/0284186X.2014.
1001036 PMID: 25761090
5. Coady D, Kennedy V. Sexual health in women affected by cancer: focus on sexual pain. Obstet Gyne-
col. 2016; 128:775–91. https://doi.org/10.1097/AOG.0000000000001621 PMID: 27607852
6. Bergeron S, Corsini-Munt S, Aerts L, Rancourt K, Rosen NO. Female sexual pain disorders: a review of
the literature on etiology and treatment. Curr Sex Health Rep. 2015; 7:159–69.
7. Engel GL. The need for a new medical model: a challenge for biomedicine. Science. 1977; 196:129–36.
https://doi.org/10.1126/science.847460 PMID: 847460
8. Cyr MP, Dumoulin C, Bessette P, Pina A, Gotlieb WH, Lapointe-Milot K, et al. Characterizing pelvic
floor muscle function and morphometry in survivors of gynecological cancer who have dyspareunia: a
comparative cross-sectional study. Phys Ther. 2021;101. https://doi.org/10.1093/ptj/pzab042 PMID:
33522584
9.
10.
Thomte´ n J, Linton SJ. A psychological view of sexual pain among women: applying the fear-avoidance
model. Women’s health (London, England). 2013; 9:251–63. https://doi.org/10.2217/whe.13.19 PMID:
23638781
Lemieux AJ, Bergeron S, Steben M, Lambert B. Do romantic partners’ responses to entry dyspareunia
affect women’s experience of pain? The roles of catastrophizing and self-efficacy. J Sex Med. 2013;
10:2274–84. https://doi.org/10.1111/jsm.12252 PMID: 23809759
11. Corsini-Munt S, Rancourt KM, Dube´ JP, Rossi MA, Rosen NO. Vulvodynia: a consideration of clinical
and methodological research challenges and recommended solutions. J Pain Res. 2017; 10:2425–36.
https://doi.org/10.2147/JPR.S126259 PMID: 29070953
12.
Juraskova I, Butow P, Robertson R, Sharpe L, McLeod C, Hacker N. Post-treatment sexual adjustment
following cervical and endometrial cancer: a qualitative insight. Psychooncology. 2003; 12:267–79.
https://doi.org/10.1002/pon.639 PMID: 12673810
13. Cleary V, Hegarty J. Understanding sexuality in women with gynaecological cancer. Eur J Oncol Nurs.
2011; 15:38–45. https://doi.org/10.1016/j.ejon.2010.05.008 PMID: 20584629
14. Bowes H, Jones G, Thompson J, Alazzam M, Wood H, Hinchliff S, et al. Understanding the impact of
the treatment pathway upon the health-related quality of life of women with newly diagnosed endome-
trial cancer—a qualitative study. Eur J Oncol Nurs. 2014; 18:211–7. https://doi.org/10.1016/j.ejon.2013.
10.007 PMID: 24290535
15. Reis N, Beji NK, Coskun A. Quality of life and sexual functioning in gynecological cancer patients:
results from quantitative and qualitative data. Eur J Oncol Nurs. 2010; 14:137–46. https://doi.org/10.
1016/j.ejon.2009.09.004 PMID: 19836305
PLOS ONE | https://doi.org/10.1371/journal.pone.0262844 January 25, 2022
16 / 20
PLOS ONEMultimodal pelvic floor physical therapy for cancer survivors suffering from pain during sexual intercourse
16. Sekse RJ, Raaheim M, Blaaka G, Gjengedal E. Life beyond cancer: women’s experiences 5 years after
treatment for gynaecological cancer. Scand J Caring Sci. 2010; 24:799–807. https://doi.org/10.1111/j.
1471-6712.2010.00778.x PMID: 20487404
17. Vermeer WM, Bakker RM, Kenter GG, Stiggelbout AM, Ter Kuile MM. Cervical cancer survivors’ and
partners’ experiences with sexual dysfunction and psychosexual support. Support Care Cancer. 2016;
24:1679–87. https://doi.org/10.1007/s00520-015-2925-0 PMID: 26412245
18. Bakker RM, Kenter GG, Creutzberg CL, Stiggelbout AM, Derks M, Mingelen W, et al. Sexual distress
and associated factors among cervical cancer survivors: a cross-sectional multicenter observational
study. Psychooncology. 2017; 26:1470–7. https://doi.org/10.1002/pon.4317 PMID: 27862635
19. Stabile C, Gunn A, Sonoda Y, Carter J. Emotional and sexual concerns in women undergoing pelvic
surgery and associated treatment for gynecologic cancer. Transl Androl Urol. 2015; 4:169–85. https://
doi.org/10.3978/j.issn.2223-4683.2015.04.03 PMID: 26816823
20. Abbott-Anderson K, Kwekkeboom KL. A systematic review of sexual concerns reported by gynecologi-
cal cancer survivors. Gynecol Oncol. 2012; 124:477–89. https://doi.org/10.1016/j.ygyno.2011.11.030
PMID: 22134375
21.
Izycki D, Wozniak K, Izycka N. Consequences of gynecological cancer in patients and their partners
from the sexual and psychological perspective. Prz Menopauzalny. 2016; 15:112–6. https://doi.org/10.
5114/pm.2016.61194 PMID: 27582686
22. Carter J, Lacchetti C, Andersen BL, Barton DL, Bolte S, Damast S, et al. Interventions to address sexual
problems in people with cancer: American Society of Clinical Oncology Clinical Practice Guideline
Adaptation of Cancer Care Ontario Guideline. J Clin Oncol. 2018; 36:492–511. https://doi.org/10.1200/
JCO.2017.75.8995 PMID: 29227723
23. Huffman LB, Hartenbach EM, Carter J, Rash JK, Kushner DM. Maintaining sexual health throughout
gynecologic cancer survivorship: a comprehensive review and clinical guide. Gynecol Oncol. 2016;
140:359–68. https://doi.org/10.1016/j.ygyno.2015.11.010 PMID: 26556768
24. Crean-Tate KK, Faubion SS, Pederson HJ, Vencill JA, Batur P. Management of genitourinary syndrome
of menopause in female cancer patients: a focus on vaginal hormonal therapy. Am J Obstet Gynecol.
2020; 222:103–13. https://doi.org/10.1016/j.ajog.2019.08.043 PMID: 31473229
25. Morin M, Carroll MS, Bergeron S. Systematic review of the effectiveness of physical therapy modalities
in women with provoked vestibulodynia. Sex Med Rev. 2017; 5:295–322. https://doi.org/10.1016/j.
sxmr.2017.02.003 PMID: 28363763
26. Wijma AJ, van Wilgen CP, Meeus M, Nijs J. Clinical biopsychosocial physiotherapy assessment of
patients with chronic pain: the first step in pain neuroscience education. Physiother Theory Pract. 2016;
32:368–84. https://doi.org/10.1080/09593985.2016.1194651 PMID: 27351769
27. Cyr MP, Dumoulin C, Bessette P, Pina A, Gotlieb WH, Lapointe-Milot K, et al. Feasibility, acceptability
and effects of multimodal pelvic floor physical therapy for gynecological cancer survivors suffering from
painful sexual intercourse: a multicenter prospective interventional study. Gynecol Oncol. 2020;
159:778–84. https://doi.org/10.1016/j.ygyno.2020.09.001 PMID: 33010968
28. Cyr MP, Dumoulin C, Bessette P, Pina A, Gotlieb WH, Lapointe-Milot K, et al. Changes in pelvic floor
morphometry and muscle function after multimodal physiotherapy for gynaecological cancer survivors
suffering from dyspareunia: a prospective interventional study. Physiotherapy. 2021;In press.
29. Cyr MP, Dumoulin C, Bessette P, Pina A, Gotlieb WH, Lapointe-Milot K, et al. A prospective single-arm
study evaluating the effects of a multimodal physical therapy intervention on psychosexual outcomes in
women with dyspareunia after gynecologic cancer. J Sex Med. 2021; 18:946–54. https://doi.org/10.
1016/j.jsxm.2021.02.014 PMID: 33931347
30. Hlatky MA, Owens DK, Sanders GD. Cost-effectiveness as an outcome in randomized clinical trials.
Clinical trials (London, England). 2006; 3:543–51. https://doi.org/10.1177/1740774506073105 PMID:
17170039
31. Edmunds K, Ling R, Shakeshaft A, Doran C, Searles A. Systematic review of economic evaluations of
interventions for high risk young people. BMC Health Serv Res. 2018; 18:660. https://doi.org/10.1186/
s12913-018-3450-x PMID: 30139384
32.
33.
Fitzpatrick T, Perrier L, Shakik S, Cairncross Z, Tricco AC, Lix L, et al. Assessment of long-term follow-
up of randomized trial participants by linkage to routinely collected data: a scoping review and analysis.
JAMA. 2018; 1:e186019-e. https://doi.org/10.1001/jamanetworkopen.2018.6019 PMID: 30646311
Frawley HC, Dean SG, Slade SC, Hay-Smith EJC. Is pelvic-floor muscle training a physical therapy or a
behavioral therapy? A call to name and report the physical, cognitive, and behavioral elements. Phys
Ther. 2017; 97:425–37. https://doi.org/10.1093/ptj/pzx006 PMID: 28499001
34. Abildgaard JS, Saksvik PØ, Nielsen K. How to measure the intervention process? An assessment of
qualitative and quantitative approaches to data collection in the process evaluation of organizational
interventions. Front Psychol. 2016; 7:1380. https://doi.org/10.3389/fpsyg.2016.01380 PMID: 27713707
PLOS ONE | https://doi.org/10.1371/journal.pone.0262844 January 25, 2022
17 / 20
PLOS ONEMultimodal pelvic floor physical therapy for cancer survivors suffering from pain during sexual intercourse
35. Blackman T, Wistow J, Byrne D. Using qualitative comparative analysis to understand complex policy
problems. Evaluation. 2013; 19:126–40.
36. Hartmann D, Strauhal MJ, Nelson CA. Treatment of women in the United States with localized, pro-
voked vulvodynia: practice survey of women’s health physical therapists. J Reprod Med. 2007; 52:48–
52. PMID: 17286069
37. Dworkin RH, Turk DC, Wyrwich KW, Beaton D, Cleeland CS, Farrar JT, et al. Interpreting the clinical
importance of treatment outcomes in chronic pain clinical trials: IMMPACT recommendations. J Pain.
2008; 9:105–21. https://doi.org/10.1016/j.jpain.2007.09.005 PMID: 18055266
38. Melzack R. The McGill Pain Questionnaire: major properties and scoring methods. Pain. 1975; 1:277–
99. https://doi.org/10.1016/0304-3959(75)90044-5 PMID: 1235985
39. Wiegel M, Meston C, Rosen R. The female sexual function index (FSFI): cross-validation and develop-
ment of clinical cutoff scores. J Sex Marital Ther. 2005; 31:1–20. https://doi.org/10.1080/
00926230590475206 PMID: 15841702
40. Meyer-Bahlburg HF, Dolezal C. The female sexual function index: a methodological critique and sug-
gestions for improvement. J Sex Marital Ther. 2007; 33:217–24. https://doi.org/10.1080/
00926230701267852 PMID: 17454519
41. Santos-Iglesias P, Mohamed B, Walker LM. A systematic review of sexual distress measures. J Sex
Med. 2018; 15:625–44. https://doi.org/10.1016/j.jsxm.2018.02.020 PMID: 29576431
42. Derogatis L, Clayton A, Lewis-D’Agostino D, Wunderlich G, Fu Y. Validation of the female sexual dis-
tress scale-revised for assessing distress in women with hypoactive sexual desire disorder. J Sex Med.
2008; 5:357–64. https://doi.org/10.1111/j.1743-6109.2007.00672.x PMID: 18042215
43. Hopwood P, Fletcher I, Lee A, Al Ghazal S. A body image scale for use with cancer patients. Eur J Can-
cer. 2001; 37:189–97. https://doi.org/10.1016/s0959-8049(00)00353-1 PMID: 11166145
44. McCracken LM, Dhingra L. A short version of the Pain Anxiety Symptoms Scale (PASS-20): preliminary
development and validity. Pain Res Manag. 2002; 7:45–50. https://doi.org/10.1155/2002/517163
PMID: 16231066
45. Sullivan MJL, Bishop SR, Pivik J. The Pain Catastrophizing Scale: development and validation. Psychol
Assess. 1995; 7:524–32.
46. Desrochers G, Bergeron S, Khalife S, Dupuis MJ, Jodoin M. Fear avoidance and self-efficacy in relation
to pain and sexual impairment in women with provoked vestibulodynia. Clin J Pain. 2009; 25:520–7.
https://doi.org/10.1097/AJP.0b013e31819976e3 PMID: 19542801
47. Avery K, Donovan J, Peters TJ, Shaw C, Gotoh M, Abrams P. ICIQ: a brief and robust measure for eval-
uating the symptoms and impact of urinary incontinence. Neurourol Urodyn. 2004; 23:322–30. https://
doi.org/10.1002/nau.20041 PMID: 15227649
48. Price N, Jackson SR, Avery K, Brookes ST, Abrams P. Development and psychometric evaluation of
the ICIQ Vaginal Symptoms Questionnaire: the ICIQ-VS. BJOG. 2006; 113:700–12. https://doi.org/10.
1111/j.1471-0528.2006.00938.x PMID: 16709214
49.
Farrar JT, Young JP Jr., LaMoreaux L, Werth JL, Poole RM. Clinical importance of changes in chronic
pain intensity measured on an 11-point numerical pain rating scale. Pain. 2001; 94:149–58. https://doi.
org/10.1016/S0304-3959(01)00349-9 PMID: 11690728
50. Venegas M, Carrasco B, Casas-Cordero R. Factors influencing long-term adherence to pelvic floor
exercises in women with urinary incontinence. Neurourol Urodyn. 2018; 37:1120–7. https://doi.org/10.
1002/nau.23432 PMID: 29095511
51. Schielzeth H, Dingemanse NJ, Nakagawa S, Westneat DF, Allegue H, Teplitsky C, et al. Robustness of
linear mixed-effects models to violations of distributional assumptions. Methods Ecol Evol. 2020;
11:1141–52.
52. Ashbeck EL, Bell ML. Single time point comparisons in longitudinal randomized controlled trials: power
and bias in the presence of missing data. BMC Med Serv Res. 2016; 16:43. https://doi.org/10.1186/
s12874-016-0144-0 PMID: 27068578
53. Harrell FJ. Regression modeling strategies: with applications to linear models, logistic and ordinal
regression, and survival analysis. 2nd ed. New York: Springer; 2015.
54. Braun V, Clarke V. Using thematic analysis in psychology. Qualitative research in psychology. 2006;
3:77–101.
55. Brennen R, Lin KY, Denehy L, Frawley HC. The effect of pelvic floor muscle interventions on pelvic floor
dysfunction after gynecological cancer treatment: a systematic review. Phys Ther. 2020; 100:1357–71.
https://doi.org/10.1093/ptj/pzaa081 PMID: 32367126
56. Yang EJ, Lim JY, Rah UW, Kim YB. Effect of a pelvic floor muscle training program on gynecologic can-
cer survivors with pelvic floor dysfunction: a randomized controlled trial. Gynecol Oncol. 2012;
125:705–11. https://doi.org/10.1016/j.ygyno.2012.03.045 PMID: 22472463
PLOS ONE | https://doi.org/10.1371/journal.pone.0262844 January 25, 2022
18 / 20
PLOS ONEMultimodal pelvic floor physical therapy for cancer survivors suffering from pain during sexual intercourse
57. Rutledge TL, Rogers R, Lee SJ, Muller CY. A pilot randomized control trial to evaluate pelvic floor mus-
cle training for urinary incontinence among gynecologic cancer survivors. Gynecol Oncol. 2014;
132:154–8. https://doi.org/10.1016/j.ygyno.2013.10.024 PMID: 24183730
58. Bober SL, Recklitis CJ, Michaud AL, Wright AA. Improvement in sexual function after ovarian cancer:
effects of sexual therapy and rehabilitation after treatment for ovarian cancer. Cancer. 2018; 124:176–
82. https://doi.org/10.1002/cncr.30976 PMID: 28881456
59. Damast S, Jeffery DD, Son CH, Hasan Y, Carter J, Lindau ST, et al. Literature review of vaginal steno-
sis and dilator use in radiation oncology. Pract Radiat Oncol. 2019; 9:479–91. https://doi.org/10.1016/j.
prro.2019.07.001 PMID: 31302301
60. Bakker RM, Mens JW, de Groot HE, Tuijnman-Raasveld CC, Braat C, Hompus WC, et al. A nurse-led
sexual rehabilitation intervention after radiotherapy for gynecological cancer. Support Care Cancer.
2017; 25:729–37. https://doi.org/10.1007/s00520-016-3453-2 PMID: 27787681
61. Carter J, Goldfarb S, Baser RE, Goldfrank DJ, Seidel B, Milli L, et al. A single-arm clinical trial investigat-
ing the effectiveness of a non-hormonal, hyaluronic acid-based vaginal moisturizer in endometrial can-
cer survivors. Gynecol Oncol. 2020; 158:366–74. https://doi.org/10.1016/j.ygyno.2020.05.025 PMID:
32522420
62. Carter J, Stabile C, Seidel B, Baser RE, Goldfarb S, Goldfrank DJ. Vaginal and sexual health treatment
strategies within a female sexual medicine program for cancer patients and survivors. J Cancer Surviv.
2017; 11:274–83. https://doi.org/10.1007/s11764-016-0585-9 PMID: 27868156
63.
64.
Li J, Huang J, Zhang J, Li Y. A home-based, nurse-led health program for postoperative patients with
early-stage cervical cancer: a randomized controlled trial. Eur J Oncol Nurs. 2016; 21:174–80. https://
doi.org/10.1016/j.ejon.2015.09.009 PMID: 26482004
Zhu G, Li X, Yang S. Effect of postoperative intervention on the quality of life of patients with cervical
cancer. 2016; 28:819–22.
65. Bahng AY, Dagan A, Bruner DW, Lin LL. Determination of prognostic factors for vaginal mucosal toxicity
associated with intravaginal high-dose rate brachytherapy in patients with endometrial cancer. Int J
Radiat Oncol Biol Phys. 2012; 82:667–73. https://doi.org/10.1016/j.ijrobp.2010.10.071 PMID:
21300451
66. Gondi V, Bentzen SM, Sklenar KL, Dunn EF, Petereit DG, Tannehill SP, et al. Severe late toxicities fol-
lowing concomitant chemoradiotherapy compared to radiotherapy alone in cervical cancer: an inter-era
analysis. Int J Radiat Oncol Biol Phys. 2012; 84:973–82. https://doi.org/10.1016/j.ijrobp.2012.01.064
PMID: 22898381
67.
Turner JA, Franklin G, Heagerty PJ, Wu R, Egan K, Fulton-Kehoe D, et al. The association between
pain and disability. Pain. 2004; 112:307–14. https://doi.org/10.1016/j.pain.2004.09.010 PMID:
15561386
68. Dworkin RH, Turk DC, Peirce-Sandner S, Baron R, Bellamy N, Burke LB, et al. Research design consid-
erations for confirmatory chronic pain clinical trials: IMMPACT recommendations. Pain. 2010; 149:177–
93. https://doi.org/10.1016/j.pain.2010.02.018 PMID: 20207481
69. Goldfinger C, Pukall CF, Thibault-Gagnon S, McLean L, Chamberlain S. Effectiveness of cognitive-
behavioral therapy and physical therapy for provoked vestibulodynia: a randomized pilot study. J Sex
Med. 2016; 13:88–94. https://doi.org/10.1016/j.jsxm.2015.12.003 PMID: 26755091
70. Morin M, Dumoulin C, Bergeron S, Mayrand MH, Khalife´ S, Waddell G, et al. Multimodal physical ther-
apy versus topical lidocaine for provoked vestibulodynia: a multicenter, randomized trial. Am J Obstet
Gynecol. 2021; 224:189.e1–.e12. https://doi.org/10.1016/j.ajog.2020.08.038 PMID: 32818475
71. Dumoulin C, Cacciari LP, Hay-Smith EJC. Pelvic floor muscle training versus no treatment, or inactive
control treatments, for urinary incontinence in women. Cochrane Database Syst Rev. 2018; 10:
Cd005654. https://doi.org/10.1002/14651858.CD005654.pub4 PMID: 30288727
72. Gentilcore-Saulnier E, McLean L, Goldfinger C, Pukall CF, Chamberlain S. Pelvic floor muscle assess-
ment outcomes in women with and without provoked vestibulodynia and the impact of a physical ther-
apy program. J Sex Med. 2010; 7:1003–22. https://doi.org/10.1111/j.1743-6109.2009.01642.x PMID:
20059663
73.
Thomte´ n J, Lundahl R, Stigenberg K, Linton S. Fear avoidance and pain catastrophizing among women
with sexual pain. Women’s health (London, England). 2014; 10:571–81. https://doi.org/10.2217/whe.
14.51 PMID: 25482484
74. Mercier J, Morin M, Tang A, Reichetzer B, Lemieux MC, Samir K, et al. Pelvic floor muscle training:
mechanisms of action for the improvement of genitourinary syndrome of menopause. Climacteric.
2020; 23:468–73. https://doi.org/10.1080/13697137.2020.1724942 PMID: 32105155
75. Goldfinger C, Pukall CF, Gentilcore-Saulnier E, McLean L, Chamberlain S. A prospective study of pelvic
floor physical therapy: pain and psychosexual outcomes in provoked vestibulodynia. J Sex Med. 2009;
6:1955–68. https://doi.org/10.1111/j.1743-6109.2009.01304.x PMID: 19453890
PLOS ONE | https://doi.org/10.1371/journal.pone.0262844 January 25, 2022
19 / 20
PLOS ONEMultimodal pelvic floor physical therapy for cancer survivors suffering from pain during sexual intercourse
76. Mackenzie N. A phenomenological study of women who presented to a physiotherapy-led continence
service with dyspareunia and were treated with trigger point massage. J Assoc Chart Physiother Wom-
en’s Health. 2009; 105:24–39.
77. Schoonenboom J, Johnson RB. How to construct a mixed methods research design. Kolner Z Soz
Sozpsychol. 2017; 69:107–31. https://doi.org/10.1007/s11577-017-0454-1 PMID: 28989188
78.
Irvine FE, Clark MT, Efstathiou N, Herber OR, Howroyd F, Gratrix L, et al. The state of mixed methods
research in nursing: a focused mapping review and synthesis. J Adv Nurs. 2020; 76:2798–809. https://
doi.org/10.1111/jan.14479 PMID: 32896959
79. O’Cathain A, Murphy E, Nicholl J. The quality of mixed methods studies in health services research. J
Health Serv Res Policy. 2008; 13:92–8. https://doi.org/10.1258/jhsrp.2007.007074 PMID: 18416914
80. Pieterse QD, Kenter GG, Maas CP, de Kroon CD, Creutzberg CL, Trimbos JB, et al. Self-reported sex-
ual, bowel and bladder function in cervical cancer patients following different treatment modalities: longi-
tudinal prospective cohort study. Int J Gynecol Cancer. 2013; 23:1717–25. https://doi.org/10.1097/IGC.
0b013e3182a80a65 PMID: 24172106
81. DeSimone M, Spriggs E, Gass JS, Carson SA, Krychman ML, Dizon DS. Sexual dysfunction in female
cancer survivors. Am J Clin Oncol. 2014; 37:101–6. https://doi.org/10.1097/COC.0b013e318248d89d
PMID: 22643563
82. Carpenter KM, Andersen BL, Fowler JM, Maxwell GL. Sexual self schema as a moderator of sexual
and psychological outcomes for gynecologic cancer survivors. Arch Sex Behav. 2009; 38:828–41.
https://doi.org/10.1007/s10508-008-9349-6 PMID: 18418707
83. Andersen BL, Woods XA, Copeland LJ. Sexual self-schema and sexual morbidity among gynecologic
cancer survivors. J Consult Clin Psychol. 1997; 65:221–9. https://doi.org/10.1037//0022-006x.65.2.221
PMID: 9086685
PLOS ONE | https://doi.org/10.1371/journal.pone.0262844 January 25, 2022
20 / 20
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10.3389_fmicb.2021.711073.pdf
|
DATA AVAILABILITY STATEMENT
The original contributions presented in the study are included
in the article/Supplementary Material, further inquiries can be
directed to the corresponding author/s.
|
DATA AVAILABILITY STATEMENT The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author/s.
|
fmicb-12-711073
September 7, 2021
Time: 15:42
# 1
ORIGINAL RESEARCH
published: 10 September 2021
doi: 10.3389/fmicb.2021.711073
Ratio of Electron Donor to Acceptor
Influences Metabolic Specialization
and Denitrification Dynamics in
Pseudomonas aeruginosa in a Mixed
Carbon Medium
Irene H. Zhang1,2, Susan Mullen1†, Davide Ciccarese1, Diana Dumit1,
Donald E. Martocello III1,3, Masanori Toyofuku4, Nobuhiko Nomura4, Steven Smriga1 and
Andrew R. Babbin1*
1 Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, MA,
United States, 2 Program in Microbiology, Massachusetts Institute of Technology, Cambridge, MA, United States,
3 Department of Marine Chemistry and Geochemistry, Woods Hole Oceanographic Institution, Woods Hole, MA,
United States, 4 Faculty of Life and Environmental Sciences, Microbiology Research Center for Sustainability, University of
Tsukuba, Tsukuba, Japan
−) to nitrite (NO2
−), NO, N2O, and
Denitrifying microbes sequentially reduce nitrate (NO3
N2 through enzymes encoded by nar, nir, nor, and nos. Some denitrifiers maintain
the whole four-gene pathway, but others possess partial pathways. Partial denitrifiers
may evolve through metabolic specialization whereas complete denitrifiers may adapt
−) utilization. Both exist
toward greater metabolic flexibility in nitrogen oxide (NOx
within natural environments, but we lack an understanding of selective pressures
driving the evolution toward each lifestyle. Here we investigate differences in growth
rate, growth yield, denitrification dynamics, and the extent of intermediate metabolite
accumulation under varying nutrient conditions between the model complete denitrifier
Pseudomonas aeruginosa and a community of engineered specialists with deletions in
the denitrification genes nar or nir. Our results in a mixed carbon medium indicate a
growth rate vs. yield tradeoff between complete and partial denitrifiers, which varies
−. We found that
with total nutrient availability and ratios of organic carbon to NOx
the cultures of both complete and partial denitrifiers accumulated nitrite and that the
metabolic lifestyle coupled with nutrient conditions are responsible for the extent of
nitrite accumulation.
Keywords: Pseudomonas aeruginosa, denitrification, rate-yield tradeoff, specialization, nitrite
INTRODUCTION
Microbial assemblages in natural environments perform diverse biogeochemical transformations
that drive global nutrient cycling and serve key ecological functions (Flemming and Wuertz,
2019). Among these, denitrification is a generally microbially mediated process that balances
the nitrogen budget in terrestrial and marine ecosystems (Arrigo, 2005). Denitrifying microbes
−) as terminal electron acceptors under oxygen-limiting conditions,
use nitrogen oxides (NOx
−), nitric oxide (NO), nitrous oxide
sequentially reducing in turn nitrate (NO3
−) to nitrite (NO2
Edited by:
Harold J. Schreier,
University of Maryland, Baltimore
County, United States
Reviewed by:
Julian Damashek,
Utica College, United States
Richard Villemur,
Université du Québec, Canada
*Correspondence:
Andrew R. Babbin
babbin@mit.edu
†Present address:
Susan Mullen,
Department of Earth and Planetary
Science, University of California,
Berkeley, Berkeley, CA, United States
Specialty section:
This article was submitted to
Microbial Physiology and Metabolism,
a section of the journal
Frontiers in Microbiology
Received: 17 May 2021
Accepted: 09 August 2021
Published: 10 September 2021
Citation:
Zhang IH, Mullen S, Ciccarese D,
Dumit D, Martocello DE III,
Toyofuku M, Nomura N, Smriga S and
Babbin AR (2021) Ratio of Electron
Donor to Acceptor Influences
Metabolic Specialization
and Denitrification Dynamics
in Pseudomonas aeruginosa in a
Mixed Carbon Medium.
Front. Microbiol. 12:711073.
doi: 10.3389/fmicb.2021.711073
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Denitrifier Specialization and Nitrite Dynamics
(N2O), and finally N2 through reductase enzymes encoded by
the genes nar or nap, nir, nor, and nos, respectively (Zumft,
1997). As each step of denitrification yields free energy for the
cell by coupling the reduction of nitrogen species to the oxidation
of carbon, microbes theoretically harness the most energy for
growth by performing the entire pathway. However, molecular
surveys have revealed that many denitrifiers possess only partial
denitrifying potential, whereas others contain the full suite of four
genes (Zumft, 1997; Graf et al., 2014; Marchant et al., 2018). In
addition, the polyphyletic distribution of denitrifying capabilities
across diverse taxonomic groups and unique evolutionary history
of each denitrification gene indicate the independent loss, gain,
or horizontal transfer of these genes between microbes (Jones
et al., 2008). Selective pressure to minimize the metabolic costs
of enzyme biosynthesis, along with genome streamlining, may
lead to the loss of individual denitrification genes (Mira et al.,
2001; Giovannoni, 2005). Horizontal transfer may lead to the
acquisition of genes that confer the ability to reduce available
forms of inorganic nitrogen (Jones et al., 2008; Alvarez et al.,
2011).
The modularity of denitrification genes, whether as a
cause or function of the fragmentation of the denitrification
pathway, points to possible metabolic specialization within
these communities (Lycus et al., 2018). The phenomenon of
metabolic specialization in microbial communities has been well-
established (Johnson et al., 2012; Wong et al., 2015; D’Souza et al.,
2018; Thommes et al., 2019; Meijer et al., 2020). Specialization
may manifest as members of coexisting populations diversify
to fill available niches defined by nutrient availability, spatial
structure,
temporal variability, or other factors. Laboratory
experiments with model denitrifying organisms have determined
that different genes involved in the denitrification process
activate under distinct environmental cues and display unique
dynamics (Lycus et al., 2018). Within denitrifying ecosystems,
the availability of multiple inorganic nitrogen species may
lead to the diversification of microbes into populations of
− consumers.
NO3
Specialization can also evolve if community members construct
new niches through the release of metabolic byproducts which
then become substrates for the growth of other members
(Kinnersley et al., 2009; Lilja and Johnson, 2019). Additionally,
partial denitrifiers may have evolved unique functions beyond
canonical denitrification, such as detoxification by nir and
nor of toxic chemical
intermediates and cellular regulation
and signaling using NO (Sasaki et al., 2016; Vázquez-Torres
− results in
and Bäumler, 2016). As the reduction of NO3
−, NO,
the production of the intermediate metabolites NO2
−-
and N2O, which are released into the environment, NO3
reducing microbes may create new metabolic niches for specialist
populations that perform downstream denitrification steps. Over
time, a community of complementary specialists relying on
substrate cross-feeding of intermediate metabolites may arise.
− producers) and NO2
− consumers (NO2
The accumulation of intermediate metabolites may drive
specialization by forming new ecological niches. Denitrification
enzymes
form dynamic, membrane-bound complexes via
protein-protein interactions, which maximizes electron transfer
efficiency (Borrero-de Acuña et al., 2017). Despite this tight
intermediate
relationship between denitrification proteins,
−, accumulate in both culture-
metabolites, particularly NO2
based denitrification systems (Matsubara and Zumft, 1982;
Granger and Ward, 2003; Bergaust et al., 2010) and in natural
environments where denitrification occurs such as marine
oxygen deficient zones (ODZs) (Brandhorst, 1959; Ulloa et al.,
2012). This accumulation of metabolic intermediates may
indicate a spatial separation of denitrification steps through
partitioning different metabolic steps into separate cells or a
temporal separation in the transcription of individual genes or
the activity of individual enzymes.
A multitude of
−) ratios result in significant NO2
factors have been shown to influence
the accumulation of intermediate denitrification metabolites.
−
Previous studies indicate that lower organic carbon to NOx
− accumulation in an
(C: NOx
aquatic system (Chen et al., 2017). Other possible explanations
invoke competition between denitrification enzymes for co-
factors, membrane space, biosynthetic building blocks, or other
intracellular resources (Almeida et al., 1995; Lilja and Johnson,
2016). The involvement of
transporters may contribute to
the accumulation of metabolites prior to movement across a
membrane. Moreover, the metabolic costs of enzyme biosynthesis
create a tradeoff between maintaining and activating the full
denitrification pathway and specializing in only one or several
steps (Pfeiffer and Bonhoeffer, 2004; Costa et al., 2006; Wortel
et al., 2018). Minimizing biosynthesis costs in multi-enzyme
pathways can lead to intermediate metabolite accumulation,
giving rise to multiple specialist populations even upon a single
resource (Treves et al., 1998; Pfeiffer and Bonhoeffer, 2004).
Therefore, this tradeoff is a key element for the evolution and
coexistence of species.
Complete denitrification may occur either through full
− to N2 within one or several independent
reduction of NO3
complete denitrifiers or as a community process between
complementary partial denitrifiers. Here, we use laboratory
cultures of model complete and partial denitrifiers to examine
the tradeoffs involved in these two lifestyles and the effects
of each lifestyle upon denitrification and growth dynamics.
To eliminate the confounding factor of strain or species
differences in comparing metabolic lifestyles, we use the wild-
type complete denitrifier Pseudomonas aeruginosa and knockout
strains with either a deletion in the gene for nitrite reductase
((cid:49)nir) or a deletion in the gene for membrane-bound nitrate
reductase ((cid:49)nar), the respiratory nitrate reductase in canonical
denitrification. P. aeruginosa occurs widely in marine, aquatic,
and soil ecosystems and is attractive as a model organism due to
its genetic tractability (Schreiber et al., 2007). We define the wild-
type P. aeruginosa as a generalist in the context of denitrification,
as it possesses the capability to utilize diverse oxidized nitrogen
species as electron acceptors for energy. Conversely, we define the
isogenic mutants as specialists since they possess only a defined
subset of metabolic capabilities.
We compare the growth and denitrification dynamics of
these two model specialists in co-culture against their parent
wild-type P. aeruginosa under varying nutrient conditions. As
environmental denitrifiers utilize heterogeneous organic carbon
and inorganic nitrogen sources, we test four nutrient regimes
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− and NO2
−, specifically NO3
characterized by differing ratios of mixed organic carbon to
−. We further use a varied
NOx
organic medium with many compound classes more akin to
natural systems than a medium with a single carbon source. Both
total nutrient availability and carbon to nitrogen oxide ratios
−) have been demonstrated to impact denitrification
(C: NOx
processes and the metabolic division of labor within communities
(Blaszczyk, 1993; Ge et al., 2012; Chen et al., 2017), so we
expect these regimes to exert different selective pressures on
influencing
our model specialist vs. generalist communities,
their growth, denitrification dynamics, and accumulation of the
intermediate NO2
−.
MATERIALS AND METHODS
Strains and Culture Methods
For the Pseudomonas aeruginosa (cid:49)nir mutant, the region from
nirS to nirN was deleted, while for (cid:49)nar the narG gene was
deleted (Toyofuku and Sawada, 2014). Isogenic mutants were
constructed as follows: PCR primers listed in Supplementary
Table 1 were used to amplify DNA fragments upstream and
downstream of either narG or nirS-N with overlap extension
PCR. The amplified fragments were cloned into a multicloning
site in pG19II. The pG19-(cid:49)nar or pG19-(cid:49)nir plasmids were
conjugated from E. coli S17-1 into wild-type P. aeruginosa
PAO1 and deletion mutants were generated with allelic exchange.
Deletions were confirmed with PCR and phenotypic analysis.
Pseudomonas aeruginosa wild-type PAO1 and mutant strains
were inoculated into 25 mL of either 100% Luria-Bertani (LB)
Broth (for regimes with 100% LB) or 10% LB Broth diluted
with phosphate-buffered saline (PBS; for regimes with 10%
LB). LB Broth was chosen due to its varied and complex
carbon sources, which may more closely resemble conditions
in natural systems preferred by heterotrophic bacteria in
which various carbon sources derive from complex cellular
metabolites. Through the use of LB, we hoped to avoid
growth dynamics that depend on and are specific to the
choice of an individual carbon compound. LB Broth also
contains an abundance of reduced, organic nitrogen species for
− or NO2
−
assimilatory anabolism, enabling supplemental NO3
to be used primarily for dissimilatory energetic pathways. We
additionally performed a control experiment in M9 minimal
−
media supplemented with approximately 10 or 1 mM NO3
and 50 or 5 mM citrate (a C6 compound) as the sole
carbon source to confirm our results are specific to mixed
carbon media. M9 minimal media contains 9.35 mM NH4
− to be
for nitrogen assimilation, allowing supplemental NOx
used primarily for dissimilatory reduction. Additionally, M9
minimal media was supplemented with 4.1 nM biotin, 3.8 nM
thiamin, 31 µM FeCl3, 6.2 µM ZnCl2, 0.76 µM CuCl2, 0.42 µM
CoCl2, 1.62 µM H3BO3, and 0.081 µM MnCl2. Cultures were
incubated overnight until reaching stationary phase at 37◦C with
shaking within 125 mL foil-covered Erlenmeyer flasks under oxic
conditions. This was used as the starting culture for inoculating
into anoxic media.
− or NO2
− (∼1 mM NOx
− (∼10 mM NOx
−, 10% LB), low NOx
Media Preparation and Sampling
Anoxic media was prepared in 150 mL serum bottles. In total,
50 mL of sterile 100% LB or 10% LB in PBS were amended
− in serum
with various concentrations of sterile NO3
bottles and purged of oxygen. Four nutrient regimes were
−, 100% LB), low
tested: high carbon and NOx
−,
− (∼1 mM NOx
carbon (∼10 mM NOx
−, 10%
100% LB), and low carbon and NOx
LB). LB concentrations lower than 10% LB did not result in
measurable culture growth after 24 h of incubation under the
− regime, therefore 10% LB was chosen to
low carbon and NOx
represent the low carbon regime. Within each regime, four initial
− ratios were tested: 10:0, 9:1, 5:5,
stoichiometric NO3
and 1:9. Two replicate bottles were prepared for stoichiometric
ratios 9:1, 5:5, and 1:9 under each nutrient regime, totaling
eight bottles for each along with one abiotic control. For the
10:0 stoichiometric ratio, four replicates were performed, with
two sets of bottles sampled on different dates for each nutrient
condition. These two sets of bottles were denoted as run 1 and
run 2, with the goal to assess reproducibility in growth and
denitrification dynamics. Bottles were capped with a butyl rubber
stopper and crimped with an aluminum ring to create an airtight
seal. Each bottle was purged prior to culture inoculation with
N2 gas for 2 h at 100 mL min−1, resulting in ∼80 volume
turnovers. Prepared anoxic bottles were incubated overnight
at 37◦C without shaking to confirm the sterility of the media
prior to inoculation.
−/NO2
Inoculation and sampling were performed with 10 mL
syringes which were purged each time prior to insertion into
bottles. Purging was performed with N2 gas three times as
follows: needles were inserted into a capped, sealed empty serum
bottle connected to N2 gas flowing at 1,000 mL min−1. After
syringes were filled fully with N2 gas, they were removed from the
bottle and N2 gas was discharged. Holding each syringe stopper
down to prevent oxygen from entering the syringe, needles were
reinserted into the N2 serum bottle and allowed to refill with N2
gas. This process ensured that any residual oxygen within each
syringe and needle was removed and no oxygen contaminated
anaerobic cultures. With the last purge, prior to insertion of the
needle into media, 2 mL of N2 gas was retained within the syringe
and injected into the serum bottle to maintain pressure inside the
incubation bottles after sampling.
The optical density (OD) of each overnight aerobic bacterial
culture was measured at 600 nm on a Nanodrop OneC
spectrophotometer using a 1 cm tte. For (cid:49)nir and (cid:49)nar cultures,
overnight cultures were combined in a 1:1 cellular ratio within
50 mL Falcon tubes. Either this 1:1 culture mixture or the wild-
type culture was added to each bottle to achieve a starting
inoculum OD of 0.05. Serum bottles were then placed within
a 37◦C incubator with shaking. A diagram summarizing the
experimental setup, sampling scheme, and analysis methods is
included as Figure 1.
Sampling was performed every hour using needles purged as
described above. For each sample, 2 mL of media was removed
from each bottle. In total, 1 mL of media was preserved in a
−,
1.5 mL microcentrifuge tube for analysis of NOx
− and NO2
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while the other 1 mL was measured directly for OD. The tube was
centrifuged to pellet cells and the supernatant was transferred to
a second tube and frozen at −20◦C until analysis for inorganic
nitrogen. Bottles were removed from the 37◦C incubator only
during sampling to minimize time at room temperature, and the
total duration of sampling for all bottles at each timepoint was
approximately 5 min.
Sampling was terminated when no NO2
− remained within
any cultures. A diagnostic test was performed upon each
sample by adding 10 µL of Griess reagent to cuvettes used for
− remained, media within cuvettes
OD measurement. If NO2
− was fully consumed, media
developed a pink hue, while if NO2
− concentrations within preserved tubes
remained clear. NO2
were also determined using this method, the Griess colorimetric
assay (Strickland and Parsons, 1972). Absorbance was measured
on a plate reader at 543 nm using a reference absorption baseline
−, was determined by
at 750 nm. Total NOx
chemical reduction to NO with hot acidified vanadium (III) and
measured via chemiluminescence with a NOx analyzer (Garside,
1982; Braman and Hendrix, 1989). The detection limit for the
− method was <0.10 µM. Initial and final
chemiluminescent NOx
pH was taken from a replicate under the same nutrient regimes
and culture conditions, with initial pH measured prior to culture
inoculation and final pH measured after culture had reached
stationary phase.
−, or NO3
− + NO2
Data Analysis
Logistic growth curves were fit to each OD time course and
evaluated for goodness of fit. From this analysis, maximum
growth rates, saturation points, and lag times were calculated for
each replicate in each condition (Zwietering et al., 1990). Growth
yields were approximated using fold-change differences between
the initial inoculum of each culture and final OD at saturation.
−, NO3
− include a degree of noisiness,
From NOx
− = NOx
−, NO3
− measurements, colorimetric NO2
− data, we calculated NO3
−–NO2
−, and NO2
− concentrations as
− for each timepoint. Measurements
NO3
− were smoothed with a 2nd-
for NOx
degree polynomial Savitsky–Golay filter, which is widely used
to filter time series data (Savitzky and Golay, 1964). As
− concentrations, and
NOx
this filter
calculated NO3
minimizes the influence of noise upon calculated DNRN and
−, and
denitrification rates. Rates of change for NOx
− with time were determined by differentiating with time
NO2
each curve for each regime, condition, and replicate. DNRN
−/dt and denitrification
rates were calculated by DNRN = –dNO3
−/dt. Maximum
rates were calculated as denitrification = –dNOx
DNRN and denitrification rates were found for each trial. For
temporal dynamics for DNRN and denitrification, we delineate
three broad categories in our data: synchronous, asynchronous,
and contemporaneous. We define the activation of DNRN and
denitrification as “synchronous” when the peaks for DNRN and
denitrification rates are concurrent, i.e., the second derivatives
of concentration with respect to time share the same sign
and the maximum rates for DNRN and denitrification occur
simultaneously. “Asynchronous” activation is defined as when
DNRN rates and denitrification rates do not have maxima
at approximately the same time, and rates do not follow the
same temporal pattern of change (i.e., the second derivatives
of concentration with respect to time have opposite signs).
Behaviors in which the curves for DNRN and denitrification
rates follow similar upward or downward trends over similar
time periods, but do not peak at the same time point are termed
“contemporaneous.”
−
−
The
defined
max–NO2
initial)/NO3
index was
accumulation
as
nitrite
−
NAI = (NO2
initial. Analyses were
performed in MATLAB release R2018a. We used paired 1-sided
and 2-sided t-tests as appropriate to evaluate the statistical
significance of differences in growth rate, growth yield, nitrite
accumulation indices, DNRN rates, and denitrification rates
for each nutrient regime for generalists vis-à-vis specialists.
The paired t-test was used to compare across all stoichiometric
− for generalists vs. specialists under each
ratios of NO3
nutrient regime.
−/NO2
RESULTS
− or NO2
− but not NO2
− but not NO3
− but not under NO3
To confirm that the Pseudomonas aeruginosa PAO1 (cid:49)nar mutant
−, the (cid:49)nir mutant could
could respire NO2
−, and the wild-type (WT) strain
respire NO3
could respire both, we grew all strains axenically under anoxic
conditions for 27 h in LB media supplemented with 10 mM of
−. As anticipated, the (cid:49)nar mutant could only
NO3
− (Supplementary
grow under 10 mM NO2
−,
Figure 1A). The (cid:49)nir mutant could not grow under NO2
−. WT grew under both conditions,
but could grow under NO3
− did not inhibit its growth, and grew
indicating that 10 mM NO2
− as it could harness the additional energy of the
better given NO3
first denitrification step. In addition, the (cid:49)nar mutant reached
the same optical density (OD) as the wild-type under 10 mM
− did not inhibit its growth
NO2
either. These results show that the (cid:49)nar mutant did indeed lose
the function of the nar gene responsible for nitrate reductase
but maintained the remainder of the denitrification pathway.
Likewise, the (cid:49)nir mutant lost the function of the nir gene
responsible for nitrite reductase but retained the function of nar
and likely nor and nos. As all mutants reached an OD of ∼0.5 or
higher within 27 h, and lag times for co-cultures (Supplementary
Figure 2) approach those of axenic wild-type in several nutrient
conditions, we do not expect growth or regulatory defects from
these gene deletions to substantially impact our results.
−, indicating that 10 mM NO2
To test whether the (cid:49)nar and (cid:49)nir mutants performed
substrate cross-feeding in co-culture, we compared the growth
of axenic (cid:49)nar and (cid:49)nir cultures against a co-culture of (cid:49)nar
and (cid:49)nir ((cid:49) + (cid:49)) under anoxic conditions in LB supplemented
−. We found the (cid:49) + (cid:49) co-culture
with 1, 10, or 100 mM NO3
− conditions, while the axenic (cid:49)nar
grew under all initial NO3
did not grow (Supplementary Figure 1B). The final co-culture
OD surpassed the final OD of the axenic (cid:49)nir strain under all
conditions, indicating that growth was not simply due to the (cid:49)nir
strain within the co-culture but that the two strains performed
metabolite cross-feeding. The (cid:49) + (cid:49) co-culture surpassed the
−, so it is
growth of the axenic (cid:49)nir strain under 1 mM NO3
unlikely that this result was due to the toxicity of accumulated
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− concentrations.
The dynamics of NOx
− within the media. In addition, the axenic (cid:49)nir reached
− than
−, indicating its ability to tolerate higher
NO2
a higher OD under 10 mM NO3
under 1 mM NO3
NO2
− and 100 mM NO3
− consumption, NO2
− accumulation,
and growth over the time course of sampling for each nutrient
− ratio is
−/NO2
regime for two replicates for the 10:0 NO3
− regime
displayed in Figure 2. Under a high carbon and NOx
− and 100% LB), the OD of all cultures reached
(10 mM NOx
greater than 0.5, but when available carbon was reduced by a
factor of 10, growth decreased to an OD of 0.2–0.4 (Figure 2),
indicating that growth was reduced by the lower amount of
carbon. When carbon availability was kept high with 100% LB
−, growth
but available nitrogen was decreased to 1 mM NOx
decreased to an OD of 0.15–0.25 (Figure 2), demonstrating
−. When both carbon and nitrogen
growth limitation by NOx
− regime
availability were low in the low carbon and NOx
− and 10% LB), the final OD was further depressed
(1 mM NOx
− regimes, to an OD
compared to both low carbon and low NOx
of approximately 0.1 (Figure 2), indicating growth was depressed
−. The control experiments in
by starvation for carbon and NOx
M9 minimal media showed no decrease in OD between 50 mM
citrate (300 mM carbon) and 5 mM citrate (30 mM carbon) for
− concentrations (Supplementary Figure 3). This
the same NO3
may be due to specifics of carbon metabolic processing or the
total bioavailability of labile carbon derived from cellular material
compared to citrate (Rojo, 2010; Dolan et al., 2020).
For each culture, we calculated the maximum growth rate
and the approximate growth yield, represented in Figure 3. We
approximate growth yields by taking the fold-change between
the cell density of the starting culture and the maximum cell
− and low
density based on OD. Under high carbon and NOx
carbon regimes, in which nitrogen was high, (cid:49) + (cid:49) co-cultures
−: n = 8,
achieved a higher growth yield (high carbon and NOx
paired 1-sided t-test, p = 0.0002; low carbon: n = 8, paired 1-
sided t-test, p = 0.002), while WT exhibited a higher maximum
−: n = 8, paired 1-sided
growth rate (high carbon and NOx
low carbon: n = 8, paired 1-sided t-test,
t-test, p = 0.001;
p = 6.5 × 10−7) (Figure 3). However, when NOx
− was low at
1 mM, the relationship between growth rate and growth yield
for the (cid:49) + (cid:49) co-cultures compared to WT changed. Under
− regimes, the differences between growth rate and
low NOx
growth yield for each culture were non-significant (p > 0.01
as determined by a 1-sided t-test). Under low carbon and
− regimes, WT had higher maximum growth rates (n = 8,
NOx
paired 1-sided t-test, p = 0.009) but growth yields were not
significantly different (n = 8, paired 1-sided t-test, p = 0.08). For
−/NO2
−
these statistical tests, we used 10:0, 9:1, and 5:5 NO3
stoichiometric ratios and excluded the 1:9 stoichiometric ratio as
− availability could not support substantial growth
the low NO3
− producer within the co-culture. Growth
of the obligate NO2
effects for the 1:9 ratio more likely result from the lower initial
− in the (cid:49) + (cid:49)
inoculum sizes of cells capable of utilizing NO2
co-cultures compared to the WT, and little potential for cross-
feeding exists between the two mutants, particularly in the 1 mM
− regimes. Previous studies indicate the precise context in
NOx
terms of the type of carbon compound is key (Rojo, 2010; Dolan
−)
et al., 2020), and our control experiments with a single carbon
source also suggest a possible growth yield vs. growth rate tradeoff
between WT and (cid:49) + (cid:49) under all nutrient regimes, warranting
follow-up study to investigate species specific responses to carbon
affinity (Supplementary Figure 4A).
further
− to NO2
− to NO2
reduced NO2
− and NO2
− and the loss of NO2
From total nitrogen oxyanion (NOx
concentrations
− from
measured for each time point, we found a loss of NOx
both the WT and (cid:49) + (cid:49) co-cultures (Figure 2). For the
−
(cid:49) + (cid:49) co-cultures, this demonstrates that the obligate NO2
−, and the obligate
producer ((cid:49)nir) reduced NO3
−. Distinct
− consumer ((cid:49)nar)
NO2
−) consumption
temporal dynamics of nitrogen oxyanion (NOx
distinguish (cid:49) + (cid:49) co-cultures and axenic WT. In addition
−
− over time, we also measured NO2
to measuring total NOx
−, calculated
over time and, from the curves of NOx
− over time. Assuming that both mutants could respire
NO3
NO and N2O, we focused our analysis on the reduction of
−, which we respectively
NO3
differentiate as DNRN and denitrification. Although DNRN
canonically represents the initial reaction of the denitrification
− remains
pathway, fixed nitrogen is not lost as the resulting NO2
− to gaseous forms
bioavailable. However, the reduction of NO2
of nitrogen results in the loss of bioavailable nitrogen from
the system, and this step is considered the defining reaction of
denitrification. We found the rates of DNRN and denitrification
in all conditions, as shown in Figure 4. DNRN rates did not
vary between WT or co-culture in any condition (n = 40, paired
2-sided t-test, p = 0.3) (Figure 4A). Notably, DNRN rates
− regimes compared to
were 10-fold higher in the 10 mM NOx
− conditions
− regimes. At higher initial NO3
the 1 mM NOx
(10:0, 9:1), DNRN rates were highest, whereas DNRN rates
−, condition. This reveals
were lowest under the 1:9 NO3
that the major determinant of DNRN rate is the amount of
− available and that both WT and the (cid:49) + (cid:49) co-culture
NO3
− with equal speed. In contrast, denitrification
reduce NO3
statistically indistinguishable between cultures
rates were
growing in 100% LB (n = 20, paired 2-sided t-test, p = 0.2) but
denitrification rates were lower for (cid:49) + (cid:49) co-cultures compared
to wild-type in 10% LB (n = 20, paired 1-sided t-test, p = 0.006)
(Figure 4B). This difference was observed for all stoichiometric
NO3
− was reduced quantitatively to NO2
− accumulation differs between
− accumulation
specialists and generalists, we compared the NO2
index (NAI) for each nutrient condition. NAI = 1 indicates
− before NO2
−
all NO3
reduction commenced whereas NAI = 0 reflects no transient
− accumulation. For the high carbon and NOx
− regime,
NO2
− accumulates to a moderate extent in the 10:0 ratio
NO2
(NAI = 0–0.5), and (cid:49) + (cid:49) co-cultures and WT do not differ
significantly from each other (n = 8, paired 2-sided t-test, p = 0.9).
The highest NAI values occurred in the (cid:49) + (cid:49) co-cultures
under low carbon, reaching almost 100% of the initial nitrogen
loading, significantly higher than WT under the same conditions
(n = 8, paired 1-sided t-test, p = 0.002) (Figure 5). For the
−, high carbon regime, WT cultures generally reached
low NOx
higher NAI than (cid:49) + (cid:49) co-cultures (n = 8, paired 1-sided
t-test, p = 0.01). In the single carbon control, WT cultures did
− ratios in LB.
To examine whether the NO2
−/NO2
−/NO2
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Denitrifier Specialization and Nitrite Dynamics
FIGURE 1 | Diagram of experimental setup, sampling scheme, and analysis methods. P. aeruginosa strains for inoculation are depicted in orange (wild-type), cyan
((cid:49)nar), and red ((cid:49)nir). Nutrient regimes are shown in large serum bottles, and stoichiometric ratios for each nutrient regime are shown in smaller serum bottles.
Number of replicates for each stoichiometric ratio within each nutrient regime is indicated next to smaller serum bottles. The sampling scheme for each replicate is
depicted within the dashed rectangle, along with the analyses performed on each sample.
to
− in any condition whereas
not accumulate measurable NO2
(cid:49) + (cid:49) co-cultures consistently accumulated this intermediate
(Supplementary Figure 4B). However, high variability was
observed in NAI between replicates started from different inocula
for the 10:0 ratio, indicating additional controls on NAI beyond
nutrient condition or metabolic lifestyle.
regime
according
either nutrient
In addition to maximum rates and NO2
− changes, we
explored the temporal dynamics of DNRN and denitrification
during growth. We did not find clear partitioning of
or
synchronicity
specialist vs. generalist cultures (Supplementary Figure 5).
The observed patterns of synchronicity follow the extent of
− accumulation. For cultures in LB exhibiting asynchronous
NO2
− accumulates.
DNRN and denitrification dynamics, more NO2
exhibiting synchronous DNRN and
Conversely,
cultures
−, and contemporaneous
denitrification accumulate less NO2
− but not to levels as high
cultures accumulate some NO2
as asynchronous cultures. In all conditions, DNRN always
proceeds prior to denitrification. These patterns suggest that
synchronicity, rather than maximal DNRN or denitrification
rates, drives the accumulation of NO2
In general, (cid:49) + (cid:49) co-cultures required a longer time
to begin growth, perform DNRN and denitrification, and
reach the stationary phase. Lag times, defined as the period
prior to cell division and exponential growth, are generally
higher for (cid:49) + (cid:49) co-cultures vs. the WT PAO1 across all
regimes (Supplementary Figure 2). The onset of DNRN and
denitrification in (cid:49) + (cid:49) was generally slower than in WT,
possibly reflecting the lower initial density of denitrification-
capable cells ((cid:49)nar). The duration of time from inoculation to
− was consistently longer in (cid:49) + (cid:49)
the total consumption of NOx
−.
than in WT (Supplementary Figures 6–9), reflective of the same
growth rate v. yield tradeoff between WT and (cid:49) + (cid:49) cultures.
OD curves indicate that the (cid:49) + (cid:49) co-cultures require longer
to reach saturation, which is consistent with the observation that
logarithmic growth corresponds with the period of DNRN and
denitrification activity.
DISCUSSION
The results from this study, examining a high carbon and
− regime for the axenic Pseudomonas aeruginosa PAO1
NOx
wild-type (WT) generalist compared to co-cultured DNRN
and denitrification ((cid:49) + (cid:49)) specialists, are consistent with
a growth rate vs. growth yield tradeoff. Our results in both
LB and M9 media offer evidence for this tradeoff. Growth
rate and growth yield, a proxy for net growth efficiency, are
two fundamental traits of microbes that influence community
function, evolution, and species coexistence (Lipson, 2015).
This rate vs. yield tradeoff has been found within laboratory
evolution experiments using diverse organisms such as E. coli
(Novak et al., 2006), Lactobacillus lactis (Bachmann et al.,
2013), and yeasts (Weusthuis et al., 1994), as well as in natural
microbial communities (Sorokin et al., 2003; Lipson et al., 2009).
However, to our knowledge, this tradeoff has not previously
been experimentally demonstrated using model generalists and
specialists within the same strain in the context of varying
nutrient regimes.
Previous numerical approaches have shown that the rate vs.
yield tradeoff is not universal, but depends upon environmental
conditions (Lipson et al., 2009; Beardmore et al., 2011). We
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−/NO2
FIGURE 2 | Time series data under all LB nutrient regimes for 10:0 NO3
− (green), NO2
− and (G,H) low carbon, and NOx
carbon, (E,F) low NOx
wild-type culture whereas right hand panels depict the mutant co-culture. NOx
variability introduced by chemiluminescent measurements and variations in initial NOx
with error bars indicating ranges. Curves for NOx
Selected plots are presented for brevity; analogous plots for other replicates and initial NO3
− and NO2
−. NOx
− ratios for the first run. The regimes are: (A,B) high carbon and NOx
− (purple), and bacterial growth (black) are shown. Left hand panels correspond to the
− data are normalized to the initial NOx
− concentration during plotting to reduce
− (C,D) low
− loading. Data points are the means of two biological replicates per condition,
− were smoothed with a Savitsky-Golay filter, while OD600 curves were fit to a logistic growth model.
−/NO2
− ratios can be found in Supplementary Figures 6–9.
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FIGURE 3 | Growth rate vs. growth yield for generalists and specialists in LB. Results for three stoichiometric NO3
dark purple; 9:1, red; 5:5, green) are plotted together for each nutrient regime as follows: (A) high carbon and NOx
carbon and NOx
WT and (cid:49) + (cid:49), n = 4 for the 10:0 NO3
depicted ratios, omitting 1:9.
−/NO2
−. Maximum growth rates (µmax) vs. growth yields (Cmax/C0) are plotted separately for wild-type (WT) and (cid:49)nar + (cid:49)nir co-culture ((cid:49) + (cid:49)). For both
− ratio and n = 2 for the 9:1 and 5:5 ratio for each nutrient regime, and n = 8 for each nutrient regime including all
− ratios (10:0 run 1, lavender; 10:0 run 2,
−/NO2
−, (B) low carbon, (C) low NOx
−, and (D) low
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−/NO2
−/NO2
− ratio (10:0 run 1, lavender; 10:0 run 2, dark purple; 9:1, red; 5:5, green; 1:9, blue). For both WT and (cid:49) + (cid:49), n = 4 for the 10:0
− ratio and n = 2 for the 9:1 and 5:5 ratio for each nutrient regime, and n = 10 for each nutrient regime including all depicted ratios. There is no significant
FIGURE 4 | Maximum DNRN and denitrification rates for WT and (cid:49) + (cid:49) cultures in LB. Maximum DNRN rates are plotted for each culture under each nutrient
condition and colored by NO3
NO3
difference in DNRN rates when comparing between WT or (cid:49) + (cid:49) for any treatment. DNRN rates are 10-fold higher under 10-fold higher NOx
influenced by carbon availability. (B) Maximum denitrification rates for cultures and conditions, as in panel (A). For 10% LB regimes, denitrification rates decrease in
(cid:49) + (cid:49) cultures, while there is no difference between denitrification rates when comparing cultures for 100% LB regimes. NO3
affect denitrification rates.
− ratios did not significantly
−, but are not
−/NO2
find this tradeoff to be consistent for nutrient replete and
− (electron
low carbon conditions. When the amount of NOx
acceptor) is decreased, some (cid:49) + (cid:49) co-cultures reach higher
growth rates compared to WT and some WT cultures reach
higher growth yields than (cid:49) + (cid:49) co-cultures (Figure 3).
Metabolic savings alone are unlikely to explain this, so it may
be useful to interpret this result through the lens of ecological
interactions within each culture. Within axenic WT, each cell
− and carbon. However, within a
competes with others for NOx
− is reduced
(cid:49) + (cid:49) co-culture, competitive pressure for NOx
− while
as only a portion of the population can use NO3
−. In addition, obligate
the other portion can only use NO2
− consumers engage in a commensal relationship with
NO2
− producers. Previous studies have demonstrated
obligate NO2
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− accumulation index (NAI) for generalist and specialist cultures in LB. Stoichiometric ratios are plotted separately for (cid:49) + (cid:49) co-cultures and WT for
− ratio and n = 2 for
FIGURE 5 | NO2
each nutrient regime (10:0 run 1, lavender; 10:0 run 2, dark purple; 9:1, red; 5:5, green). For both WT and (cid:49) + (cid:49), n = 4 for the 10:0 NO3
the 9:1 and 5:5 ratio for each nutrient regime, and n = 8 for each nutrient regime including all depicted ratios, omitting 1:9. NAI relates to synchronicity, with
synchronous cultures exhibiting low NAI and asynchronous cultures exhibiting high NAI. (A) The NAI is low to moderate for high carbon and NOx
is generally higher for (cid:49) + (cid:49) for low carbon regimes, but variable between replicates; (C) NAI is generally higher for WT for low NOx
high values for low carbon and NOx
− but is variable between replicates.
− regimes; (D) NAI can reach
− regimes; (B) NAI
−/NO2
the differential effects of competition or commensalism on the
spatial arrangements and communal behaviors of interacting
denitrifiers (Hibbing et al., 2010; Faust and Raes, 2012; Lilja and
− regime,
Johnson, 2019; Ciccarese et al., 2020). Under a low NOx
− may complicate the terms of the rate
competition for NOx
vs. yield tradeoff. Additionally, in nutrient-depleted conditions,
low cell density may impede efficient substrate exchange between
separate specialist populations. Further experiments are required
to pinpoint the conditions under which the rate vs. yield
tradeoff changes and the mechanisms, ecological or physiological,
underlying this change.
The presence of metabolic division of
labor generally
−
correlates with increased potential accumulation of NO2
and other metabolic intermediates in natural environments.
− may also occur in complete
However, accumulation of NO2
denitrifiers under
and displays high
certain conditions,
variability even for cultures with the same genetic content
growing under the same nutrient conditions. The accumulation
− also changes for cultures growing in mixed vs.
of NO2
single carbon sources, as complexity in carbon resources
will likely modify thermodynamic and kinetic stimuli (Rojo,
interactions in the
2010). Over the course of the cultures,
co-culture may lead to varied growth dynamics of each
mutant. These specific dynamics, while not captured in our
scheme, may clarify this variability between
experimental
cultures and serves as a basis
future experimental
for
work. Additionally, further studies on the regulation of the
denitrification pathway, the link between denitrification and
carbon metabolism in generalist and specialist species, and
the individual growth dynamics of each specialist within
co-cultures are required to determine the exact drivers of
intermediate accumulation and its impacts on denitrifying
community behavior.
The accumulation of NO2
− does not track with differences
in maximal DNRN or denitrification rates between cultures
− producers do not
or nutrient conditions. Obligate NO2
− conversion compared to wild-
exhibit lower rates of NO3
type generalists under any nutrient condition (Figure 4A). In
− consumers maintain decreased rates
contrast, obligate NO2
− reduction compared to generalists only when carbon
of NO2
is low (Figure 4B). This indicates different sensitivities or
regulations of nar and nir toward nutrient availability and
− between
type. However, differential accumulation of NO2
− conditions, which
WT and co-cultures occurred in low NOx
displayed little difference in DNRN or denitrification rates.
This may be explained by the temporal dynamics of DNRN
and denitrification. Cultures exhibiting low NAI are more
synchronous than cultures exhibiting high NAI (Supplementary
Figure 5). For the WT, this synchronicity points to simultaneous
activation of both portions of the denitrification pathway, but for
the co-culture synchronous DNRN and denitrification indicates
simultaneous metabolism by both specialists. Asynchronous
behavior in the WT reveals a temporal delay between DNRN
and denitrification, possibly due to regulatory differences in
gene expression between nar and nir (Körner and Zumft,
1989; Schreiber et al., 2007). In the (cid:49) + (cid:49) co-culture,
asynchrony indicates population succession, with the obligate
−
− producer growing first followed later by the obligate NO2
NO2
consumer. The only conditions under which specialists exhibit
−.
generally more synchronous behavior than WT are low NOx
The ability of both populations to grow non-exclusively points
to a commensal, rather than competitive, interaction for a scarce
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nutrient. This commensal interaction correlates with the only
−) in which NAI is lower for the (cid:49) + (cid:49)
regime (low NOx
co-culture than for the WT (Figure 5). Broadly, these results
suggest that the temporal dynamics rather than the maximal
rates of the individual steps of denitrification may drive the
extent of intermediate accumulation. Further work on individual
dynamics of growth for each mutant and timing of nar and nir
transcription may shed light upon the mechanisms underlying
these behaviors.
Pseudomonas aeruginosa, along with many other denitrifying
and non-denitrifying organisms, possesses an additional nitrate
reductase system, periplasmic nitrate reductase enzyme Nap
encoded by the nap gene (Alst et al., 2009). As nap was not deleted
− reduction.
in our system, this may potentially influence NO3
However, since Nap cannot generate a proton motive force for
ATP synthesis and growth, it is unlikely that Nap played a large
role in the growth dynamics observed. Additionally, nap, along
with fermentative processes, has been shown to activate mostly in
the stationary phase, while nar is expressed during active growth
(Alst et al., 2009; Schiessl et al., 2019). As the dynamics we observe
are based upon pre-stationary phase growth and metabolism
under anoxic conditions, we do not expect either of these
processes to be a substantial influence. However, the regulation
of the denitrification pathway is complex, so the influence of
nap cannot be ruled out and requires further investigation. The
role of nap in denitrification dynamics, denitrifier evolution,
and metabolic niche differentiation is an exciting complementary
research avenue.
Using engineered strains of Pseudomonas aeruginosa PAO1,
we compare the behavior of complete denitrifiers against a
community in which the denitrification pathway has been
− producers and consumers.
partitioned between obligate NO2
Our results indicate a growth rate vs. growth yield tradeoff
between complete denitrifiers, or generalists, and partial
−
denitrifiers, or specialists under nutrient replete and high NOx
conditions. While few studies have surveyed complete vs. partial
denitrifiers across various environments, several studies on
denitrifying communities reveal a high prevalence of partial
denitrifiers in soils and wetlands (Roco et al., 2017). A study
of metagenome-assembled genomes from various environments
also discovered a higher ratio of complete:partial denitrifiers
in built environments and in marine and brackish systems
(Hester et al., 2019). Relatively richer nutrient conditions and
spatial segregation in soils and wetlands may select for metabolic
specialization, while more nutrient-limited environments may
select for complete denitrifiers. However, more work is required
to link the prevalence of complete vs. partial denitrifiers across
environments and their nutrient contexts.
We find that nutrient availability, relative amounts of carbon
−, and the composition of metabolic lifestyles within
to NOx
REFERENCES
Almeida, J. S., Reis, M. A. M., and Carrondo, M. J. T. (1995). Competition between
nitrate and nitrite reduction in denitrification by Pseudomonas fluorescens.
Biotechnol. Bioeng. 46, 476–484.
a denitrifying system play key roles in driving the rate vs.
− consumption, and the
yield tradeoff, the dynamics of NOx
accumulation of chemical
intermediates. Our data provide
evidence of the differences in the growth and denitrification
behavior between a community of specialists and generalists,
but variability between replicates in relation to the extent of
− accumulation indicates a complexity in the denitrification
NO2
pathway that remains to be resolved. Denitrification regulation,
bacterial
specific
thermodynamics driving complete vs. partial denitrification,
and the ecological and chemical interactions among denitrifying
microbes are likely to be fruitful avenues of future investigation.
carbon and nitrogen metabolism,
the
DATA AVAILABILITY STATEMENT
The original contributions presented in the study are included
in the article/Supplementary Material, further inquiries can be
directed to the corresponding author/s.
AUTHOR CONTRIBUTIONS
IZ, SM, DC, SS, and AB analyzed the data and wrote the
manuscript. SM conducted the experiments. IZ, SM, DD, and
DM analyzed nitrogen samples. MT and NN provided knockout
strains for this research. AB designed the study and supervised
the project. All authors contributed to the article and approved
the submitted version.
FUNDING
Funding for this work was provided by Simons Foundation award
622065 and an MIT Environmental Solutions Initiative seed grant
to AB. Additional support was received by the MIT Ferry Fund.
ACKNOWLEDGMENTS
We would like to thank Sarah Schwartz for her preliminary
experimental
the
directions for this study.
results which
helped
define
have
SUPPLEMENTARY MATERIAL
for this article can be found
at: https://www.frontiersin.org/articles/10.3389/fmicb.
The Supplementary Material
online
2021.711073/full#supplementary-material
Alst, V. E. N., Sherrill, L. A., Iglewski, B. H., and Haidaris, C. G. (2009).
Compensatory periplasmic nitrate reductase activity supports anaerobic
growth of Pseudomonas aeruginosa PAO1 in the absence of membrane
nitrate
doi: 10.1139/
w09-065
J. Microbiol. 55, 1133–1144.
reductase. Can.
Frontiers in Microbiology | www.frontiersin.org
11
September 2021 | Volume 12 | Article 711073
fmicb-12-711073
September 7, 2021
Time: 15:42
# 12
Zhang et al.
Denitrifier Specialization and Nitrite Dynamics
Alvarez, L., Bricio, C., Gómez, M. J., and Berenguer, J. (2011). Lateral transfer of
the denitrification pathway genes among Thermus thermophilus strains. Appl.
Environ. Microbiol. 77, 1352–1358. doi: 10.1128/aem.02048-10
Hester, E. R., Jetten, M. S. M., Welte, C. U., and Lücker, S. (2019). Metabolic overlap
in environmentally diverse microbial communities. Front. Genet. 10:989. doi:
10.3389/fgene.2019.00989
Arrigo, K. R. (2005). Marine microorganisms and global nutrient cycles. Nature
437, 349–355. doi: 10.1038/nature04159
Bachmann, H., Fischlechner, M., Rabbers, I., Barfa, N., Branco, F., Santos, D., et al.
(2013). Availability of public goods shapes the evolution of competing metabolic
strategies. Proc. Natl. Acad. Sci. U.S.A. 110, 14302–14307. doi: 10.1073/pnas.
1308523110
Beardmore, R. E., Gudelj, I., Lipson, D. A., and Hurst, L. D. (2011). Metabolic trade-
offs and the maintenance of the fittest and the flattest. Nature 472, 342–346.
doi: 10.1038/nature09905
Bergaust, L., Mao, Y., Bakken, L. R., and Frostegård, Å (2010). Denitrification
response patterns during
respiration and
posttranscriptional effects of suboptimal pH on Nitrogen oxide reductase
in Paracoccus denitrificans. Appl. Environ. Microbiol. 76, 6387–6396.
doi: 10.1128/aem.00608-10
transition to anoxic
the
Blaszczyk, M. (1993). Effect of medium composition on the denitrification of
nitrate by Paracoccus denitrificans. Appl. Environ. Microbiol. 59, 3951–3953.
doi: 10.1128/aem.59.11.3951-3953.1993
Hibbing, M. E., Fuqua, C., Parsek, M. R., and Peterson, S. B. (2010). Bacterial
competition: surviving and thriving in the microbial jungle. Nat. Rev. Microbiol.
8, 15–25. doi: 10.1038/nrmicro2259
Johnson, D. R., Goldschmidt, F., Lilja, E. E., and Ackermann, M. (2012). Metabolic
specialization and the assembly of microbial communities. ISME J. 6, 1985–
1991. doi: 10.1038/ismej.2012.46
Jones, C. M., Stres, B., Rosenquist, M., and Hallin, S. (2008). Phylogenetic analysis
of nitrite, nitric oxide, and nitrous oxide respiratory enzymes reveal a complex
evolutionary history for denitrification. Mol. Biol. Evol. 25, 1955–1966. doi:
10.1093/molbev/msn146
Kinnersley, M. A., Holben, W. E., and Rosenzweig, F. (2009). E unibus plurum:
genomic analysis of an experimentally evolved polymorphism in Escherichia
coli. PLoS Genet. 5:e1000713. doi: 10.1371/journal.pgen.1000713
Körner, H., and Zumft, W. G. (1989). Expression of denitrification enzymes in
response to the dissolved oxygen level and respiratory substrate in continuous
culture of Pseudomonas stutzeri. Appl. Environ. Microbiol. 55, 1670–1676. doi:
10.1128/aem.55.7.1670-1676.1989
Borrero-de Acuña, J. M., Timmis, K. N., Jahn, M., and Jahn, D. (2017). Protein
complex formation during denitrification by Pseudomonas aeruginosa. Microb.
Biotechnol. 10, 1523–1534.
Lilja, E. E., and Johnson, D. R. (2016). Segregating metabolic processes into
different microbial cells accelerates the consumption of inhibitory substrates.
ISME J. 10, 1568–1578. doi: 10.1038/ismej.2015.243
Braman, R. S., and Hendrix, S. A. (1989). Nanogram nitrite and nitrate
determination in environmental and biological materials by vanadium(III)
reduction with chemiluminescence detection. Anal. Chem. 61, 2715–2718. doi:
10.1021/ac00199a007
Brandhorst, W. (1959). Nitrification and denitrification in the eastern tropical
North Pacific. ICES J. Mar. Sci. 25, 3–20. doi: 10.1093/icesjms/25.1.3
Chen, R., Deng, M., He, X., and Hou, J. (2017). Enhancing nitrate removal from
freshwater pond by regulating carbon/nitrogen ratio. Front. Microbiol. 8:1712.
doi: 10.3389/fmicb.2017.01712
Ciccarese, D., Zuidema, A., Merlo, V., and Johnson, D. R. (2020). Interaction-
dependent effects of surface structure on microbial spatial self-organization.
Philos. Trans. R. Soc. Lond. B Biol. Sci. 375:20190246. doi: 10.1098/rstb.2019.
0246
Costa, E., Pérez, J., and Kreft, J. U. (2006). Why is metabolic labour divided
doi: 10.1016/j.tim.2006.
in nitrification? Trends Microbiol. 14, 213–219.
03.006
D’Souza, G., Shitut, S., Preussger, D., Yousif, G., Waschina, S., and Kost, C. (2018).
Ecology and evolution of metabolic cross-feeding interactions in bacteria. Nat.
Prod. Rep. 35, 455–488. doi: 10.1039/c8np00009c
Dolan, S. K., Kohlstedt, M., Trigg, S., Vallejo Ramirez, P., Kaminski, C. F.,
Wittmann, C., et al. (2020). Contextual flexibility in Pseudomonas aeruginosa
central carbon metabolism during growth in single carbon sources. mBio 11,
e2684–e2719.
Faust, K., and Raes, J. (2012). Microbial interactions: from networks to models. Nat.
Rev. Microbiol. 10, 538–550. doi: 10.1038/nrmicro2832
Flemming, H. C., and Wuertz, S. (2019). Bacteria and archaea on Earth and their
abundance in biofilms. Nat. Rev. Microbiol. 17, 247–260. doi: 10.1038/s41579-
019-0158-9
Garside, C. (1982). A chemiluminescent technique for the determination of
nanomolar concentrations of nitrate and nitrite in seawater. Mar. Chem. 11,
159–167. doi: 10.1016/0304-4203(82)90039-1
Ge, S., Peng, Y., Wang, S., Lu, C., Cao, X., and Zhu, Y. (2012). Nitrite accumulation
under constant temperature in anoxic denitrification process: the effects of
carbon sources and COD/NO3-N. Bioresour. Technol. 114, 137–143. doi: 10.
1016/j.biortech.2012.03.016
Giovannoni, S. J. (2005). Genome streamlining in a cosmopolitan oceanic
bacterium. Science 309, 1242–1245. doi: 10.1126/science.1114057
Graf, D. R. H., Jones, C. M., and Hallin, S. (2014). Intergenomic comparisons
highlight modularity of
the denitrification pathway and underpin the
importance of community structure for N2O emissions. PLoS One 9:e114118.
doi: 10.1371/journal.pone.0114118
Lilja, E. E., and Johnson, D. R. (2019). Substrate cross-feeding affects the speed and
trajectory of molecular evolution within a synthetic microbial assemblage. BMC
Evol. Biol. 19:129. doi: 10.1186/s12862-019-1458-4
Lipson, D. A. (2015). The complex relationship between microbial growth rate
and yield and its implications for ecosystem processes. Front. Microbiol. 6:615.
doi: 10.3389/fmicb.2015.00615
Lipson, D. A., Monson, R. K., Schmidt, S. K., and Weintraub, M. N. (2009). The
trade-off between growth rate and yield in microbial communities and the
consequences for under-snow soil respiration in a high elevation coniferous
forest. Biogeochemistry 95, 23–35. doi: 10.1007/s10533-008-9252-1
Lycus, P., Soriano-Laguna, M. J., Kjos, M., Richardson, D. J., Gates, A. J., Milligan,
D. A., et al. (2018). A bet-hedging strategy for denitrifying bacteria curtails their
release of N2O. Proc. Natl. Acad. Sci.U.S.A. 115, 11820–11825. doi: 10.1073/
pnas.1805000115
Marchant, H. K., Tegetmeyer, H. E., Ahmerkamp, S., Holtappels, M., Lavik, G.,
Graf, J., et al. (2018). Metabolic specialization of denitrifiers in permeable
sediments controls N2O emissions. Environ. Microbiol. 12, 4486–4502. doi:
10.1111/1462-2920.14385
Matsubara, T., and Zumft, W. G. (1982). Identification of a copper protein as
part of the nitrous oxide-reducing system in nitrite-respiring (denitrifying)
pseudomonads. Arch. Microbiol. 132, 322–328. doi: 10.1007/bf00413383
Meijer, J., van Dijk, B., and Hogeweg, P. (2020). Contingent evolution of
alternative metabolic network topologies determines whether cross-feeding
evolves. Commun. Biol. 3:401.
Mira, A., Ochman, H., and Moran, N. A. (2001). Deletional bias and the evolution
of bacterial genomes. Trends Genet. 17, 589–596. doi: 10.1016/s0168-9525(01)
02447-7
Novak, M., Pfeiffer, T., Lenski, R. E., Sauer, U., and Bonhoeffer, S. (2006).
Experimental tests for an evolutionary trade-off between growth rate and yield
in E. coli. Am. Nat. 168, 242–251. doi: 10.2307/3844729
Pfeiffer, T., and Bonhoeffer, S. (2004). Evolution of cross-feeding in microbial
populations. Am. Nat. 163, E126–E135.
Roco, C. A., Bergaust, L. L., Bakken, L. R., Yavitt, J. B., and Shapleigh, J. P.
(2017). Modularity of nitrogen-oxide reducing soil bacteria: linking phenotype
to genotype. Environ. Microbiol. 19, 2507–2519. doi: 10.1111/1462-2920.13250
Rojo, F. (2010). Carbon catabolite repression in Pseudomonas: optimizing
metabolic versatility and interactions with the environment. FEMS Microbiol.
Rev. 34, 658–684. doi: 10.1111/j.1574-6976.2010.00218.x
Sasaki, Y., Oguchi, H., Kobayashi, T., Kusama, S., Sugiura, R., Moriya, K., et al.
(2016). Nitrogen oxide cycle regulates nitric oxide levels and bacterial cell
signaling. Sci. Rep. 6:22038.
Granger, J., and Ward, B. B. (2003). Accumulation of nitrogen oxides in copper-
limited cultures of denitrifying bacteria. Limnol. Oceanogr. 48, 313–318. doi:
10.4319/lo.2003.48.1.0313
Savitzky, A., and Golay, M. J. E. (1964). Smoothing and differentiation of data by
simplified least squares procedures. Anal. Chem. 36, 1627–1639. doi: 10.1021/
ac60214a047
Frontiers in Microbiology | www.frontiersin.org
12
September 2021 | Volume 12 | Article 711073
fmicb-12-711073
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Time: 15:42
# 13
Zhang et al.
Denitrifier Specialization and Nitrite Dynamics
Schiessl, K. T., Hu, F., Jo, J., Nazia, S. Z., Wang, B., Price-Whelan, A., et al.
(2019). Phenazine production promotes antibiotic tolerance and metabolic
heterogeneity in Pseudomonas aeruginosa biofilms. Nat. Commun. 10:762.
Schreiber, K., Krieger, R., Benkert, B., Eschbach, M., Arai, H., Schobert, M., et al.
(2007). The anaerobic regulatory network required for Pseudomonas aeruginosa
nitrate respiration. J. Bacteriol. 189, 4310–4314. doi: 10.1128/jb.00240-07
Sorokin, D. Y., Banciu, H., van Loosdrecht, M., and Kuenen, J. G. (2003). Growth
physiology and competitive interaction of obligately chemolithoautotrophic,
haloalkaliphilic, sulfur-oxidizing bacteria from soda lakes. Extremophiles 7,
195–203. doi: 10.1007/s00792-002-0313-4
Strickland, J. D. H., and Parsons, T. R. (1972). A Practical Handbook of Seawater
Analysis. Ottawa, ON: Fisheries Research Board Of Canada.
Thommes, M., Wang, T., Zhao, Q., Paschalidis, I. C., and Segrè, D. (2019).
Designing metabolic division of labor in microbial communities. mSystems 4,
e263–e218.
Toyofuku, M., and Sawada, I. (2014). Membrane vesicle formation is associated
with pyocin production under denitrifying conditions in Pseudomonas
aeruginosa PAO1. Environ. Microbiol. 16, 2927–2938. doi: 10.1111/1462-2920.
12260
Treves, D. S., Manning, S., and Adams, J. (1998). Repeated evolution of an acetate-
crossfeeding polymorphism in long-term populations of Escherichia coli. Mol.
Biol. Evol. 15, 789–797. doi: 10.1093/oxfordjournals.molbev.a025984
Ulloa, O., Canfield, D. E., DeLong, E. F., Letelier, R. M., and Stewart, F. J. (2012).
Microbial oceanography of anoxic oxygen minimum zones. Proc. Natl. Acad.
Sci. U.S.A. 109, 15996–16003. doi: 10.1073/pnas.1205009109
Vázquez-Torres, A., and Bäumler, A. (2016). Nitrate, nitrite and nitric oxide
reductases: from the last universal common ancestor to modern bacterial
pathogens. Curr. Opin. Microbiol. 29, 1–8. doi: 10.1016/j.mib.2015.09.002
Weusthuis, R. A., Pronk, J. T., van den Broek, P. J., and van Dijken, J. P.
(1994). Chemostat cultivation as a tool for studies on sugar transport in yeasts.
Microbiol. Mol. Biol. Rev. 58, 616–630. doi: 10.1128/mmbr.58.4.616-630.1994
Wong, H. L., Smith, D. L., Visscher, P. T., and Burns, B. P. (2015). Niche
differentiation of bacterial communities at a millimeter scale in Shark Bay
microbial mats. Sci. Rep. 5, 1–17.
Wortel, M. T., Noor, E., Ferris, M., Bruggeman, F. J., and Liebermeister, W.
(2018). Metabolic enzyme cost explains variable trade-offs between microbial
growth rate and yield. PLoS Comput. Biol. 14:e1006010. doi: 10.1371/journal.
pcbi.1006010
Zumft, W. G. (1997). Cell biology and molecular basis of denitrification.
doi: 10.1128/.61.4.533-616.
Microbiol. Mol. Biol. Rev. 61, 533–616.
1997
Zwietering, M. H., Jongenburger, I., Rombouts, F. M., and Van’t Riet, K. (1990).
Modeling of the bacterial growth curve. Appl. Environ. Microbiol. 56, 1875–
1881.
Conflict of Interest: The authors declare that the research was conducted in the
absence of any commercial or financial relationships that could be construed as a
potential conflict of interest.
Publisher’s Note: All claims expressed in this article are solely those of the authors
and do not necessarily represent those of their affiliated organizations, or those of
the publisher, the editors and the reviewers. Any product that may be evaluated in
this article, or claim that may be made by its manufacturer, is not guaranteed or
endorsed by the publisher.
Copyright © 2021 Zhang, Mullen, Ciccarese, Dumit, Martocello, Toyofuku, Nomura,
Smriga and Babbin. This is an open-access article distributed under the terms
of the Creative Commons Attribution License (CC BY). The use, distribution or
reproduction in other forums is permitted, provided the original author(s) and the
copyright owner(s) are credited and that the original publication in this journal
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10.1038_s42003-021-02716-8.pdf
|
Data availability
Several public databases were used in this study, including Immune Epitope Database
and Analysis Resource (IEDB) (https://www.iedb.org/) for experimental measurements,
UniProt (https://ftp.uniprot.org/pub/databases/uniprot/current_release/knowledgebase/
complete/uniprot_sprot.fasta.gz) for decoy peptides, and IPD-IMGT/HLA (https://
github.com/ANHIG/IMGTHLA/tree/3410) for MHC-I allele sequences. Research data
files supporting this study, including the peptide-binding cleft sequence of MHC-I alleles;
the training, validation, and benchmark datasets; the prediction of the validation and
benchmark datasets; and the prediction of the allele expansion are available from
Mendeley Data (https://doi.org/10.17632/c249p8gdzd.3)33. Source data for all figures are
provided in Supplementary Data.
Code availability
The source code of the research and the MHCfovea’s predictor are freely available at
GitHub (https://github.com/kohanlee1995/MHCfovea) and Mendeley Data33 for
academic non-commercial research purposes. All source codes are based on Python
(v3.6.9) and its packages, including numpy (v1.18.2), pandas (v1.0.3), scikit-learn
(v0.22.2), pytorch (v1.4.0), matplotlib (v3.2.1), seaborn (v0.10.0), logomaker (v0.8).
Numpy, pandas, and scikit-learn, are used for data analysis; pytorch is used for deep
learning; matplotlib, seaborn, and logomaker are used for visualization. The website for
the summarization of MHCfovea is available at https://mhcfovea.ailabs.tw.
|
Data availability Several public databases were used in this study, including Immune Epitope Database and Analysis Resource (IEDB) ( https://www.iedb.org/ ) for experimental measurements, UniProt ( https://ftp.uniprot.org/pub/databases/uniprot/current_release/knowledgebase/ complete/uniprot_sprot.fasta.gz ) for decoy peptides, and IPD-IMGT/HLA ( https:// github.com/ANHIG/IMGTHLA/tree/3410 ) for MHC-I allele sequences. Research data files supporting this study, including the peptide-binding cleft sequence of MHC-I alleles; the training, validation, and benchmark datasets; the prediction of the validation and benchmark datasets; and the prediction of the allele expansion are available from Mendeley Data ( https://doi.org/10.17632/c249p8gdzd.3 ) 33 . Source data for all figures are provided in Supplementary Data. Code availability The source code of the research and the MHCfovea's predictor are freely available at GitHub ( https://github.com/kohanlee1995/MHCfovea ) and Mendeley Data 33 for academic non-commercial research purposes. All source codes are based on Python (v3.6.9) and its packages, including numpy (v1.18.2), pandas (v1.0.3), scikit-learn (v0.22.2), pytorch (v1.4.0), matplotlib (v3.2.1), seaborn (v0.10.0), logomaker (v0.8). Numpy, pandas, and scikit-learn, are used for data analysis; pytorch is used for deep learning; matplotlib, seaborn, and logomaker are used for visualization. The website for the summarization of MHCfovea is available at https://mhcfovea.ailabs.tw .
|
ARTICLE
https://doi.org/10.1038/s42003-021-02716-8
OPEN
Connecting MHC-I-binding motifs with HLA
alleles via deep learning
Ko-Han Lee
Chien-Yu Chen
1,6✉
1, Yu-Chuan Chang1, Ting-Fu Chen1, Hsueh-Fen Juan
1,2,3,4, Huai-Kuang Tsai
1,5 &
;
,
:
)
(
0
9
8
7
6
5
4
3
2
1
The selection of peptides presented by MHC molecules is crucial for antigen discovery.
Previously, several predictors have shown impressive performance on binding affinity.
However, the decisive MHC residues and their relation to the selection of binding peptides
are still unrevealed. Here, we connected HLA alleles with binding motifs via our deep
learning-based framework, MHCfovea. MHCfovea expanded the knowledge of MHC-I-
binding motifs from 150 to 13,008 alleles. After clustering N-terminal and C-terminal sub-
motifs on both observed and unobserved alleles, MHCfovea calculated the hyper-motifs and
the corresponding allele signatures on the important positions to disclose the relation
between binding motifs and MHC-I sequences. MHCfovea delivered 32 pairs of hyper-motifs
and allele signatures (HLA-A: 13, HLA-B: 12, and HLA-C: 7). The paired hyper-motifs and
allele signatures disclosed the critical polymorphic residues that determine the binding
preference, which are believed to be valuable for antigen discovery and vaccine design when
allele specificity is concerned.
1 Taiwan AI Labs, Taipei 10351, Taiwan. 2 Graduate Institute of Biomedical Electronics and Bioinformatics, National Taiwan University, Taipei 10617, Taiwan.
3 Department of Life Science, National Taiwan University, Taipei 10617, Taiwan. 4 Center for Computational and Systems Biology, National Taiwan University,
Taipei 10617, Taiwan. 5 Institute of Information Science, Academia Sinica, Taipei 11529, Taiwan. 6 Department of Biomechatronics Engineering, National
Taiwan University, Taipei 10617, Taiwan.
email: chienyuchen@ntu.edu.tw
✉
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for
Antigens are essential
the induction of adaptive
immunity to respond to threats, such as infectious dis-
eases or cancer1. Most antigens are short non-self-pep-
tides; however, not all peptides are antigenic1. Researchers have
been committed to the development of peptide-based vaccines to
prevent or treat numerous diseases2–5. For instance,
tumor
neoantigens, derived from proteins with nonsynonymous somatic
mutations, may be suitable cancer therapeutic vaccines6–8. In
order to choose good antigens, it is important to understand the
process of antigen presentation.
Major histocompatibility complex class I (MHC-I) molecules
are cell surface proteins essential for antigen presentation1. MHC-
I encoded by three gene loci (HLA-A, -B, and -C) are composed
of a polymorphic heavy α-chain and an invariant β-2 micro-
globulin light chain9. The α1- and α2-domains form the peptide-
binding cleft, a highly polymorphic region, contributing to the
diversity of MHC-I-binding motifs9. There are >13,000 MHC-I
alleles on a four-digit level (e.g., A*02:01) recorded in the IPD-
IMGT/HLA database10,
a particular protein
representing
sequence. Thus, it is difficult to select antigens from numerous
peptides for each MHC allele via experiments.
In order to facilitate the process of antigen discovery, several
predictors have been developed and shown accurate performance
on MHC-I–peptide binding affinity11,12. Owing to the similarity
of polymorphic regions in MHC-I alleles, researchers tended to
build a single pan-allele predictor rather than numerous allele-
specific predictors13; of note, a pan-allele predictor takes both
MHC-I and peptide sequences as the input. A pan-allele predictor
is thought to disclose the connection among different alleles via
the consensus pattern in polymorphic regions13. Nevertheless, the
relation between MHC-I sequences and their binding motifs is
still unspecified.
In the past years, a few studies have discussed the similarity
between MHC-I-binding motifs14–16. Some key residues of
MHC-I molecules determine the binding motifs that can be
clustered into several groups14; the types of key residues within
allele clusters and motif clusters are consistent to some extent15.
In addition, the similarity between binding motifs can be used to
improve the performance of binding prediction16. However, it is
difficult to specify the key residues of each motif group from the
limited number of alleles with experimental measurements.
In this regard, we developed a deep learning-based framework,
MHCfovea, that incorporates supervised binding prediction with
unsupervised summarization to connect important residues to
binding preference. As exemplified in Fig. 1, this study explored
the binding potential of billions of peptide–allele pairs via the
prediction module; only qualified binding pairs were sent to the
summarization module to infer the relation between binding
motifs and MHC-I sequences. In the end, the resultant pairs of
hyper-motifs and allele signatures can be easily queried through a
web interface (https://mhcfovea.ailabs.tw).
Results
Overview of MHCfovea. MHCfovea integrates a supervised
prediction module and an unsupervised summarization module
to connect important residues to binding motifs (Fig. 1). The
predictor
in the prediction module is constructed of an
ensemble model based on convolutional neural networks (CNN)
(Supplementary Fig. 1) embedded with ScoreCAM17, a class
activation mapping (CAM)-based18 approach, to highlight the
important positions of the input MHC-I sequences. As for the
summarization module,
to infer the relation between the
important residues and the binding motifs, we made predictions
on unobserved alleles to expand our knowledge from 150 to
13,008 alleles followed by clustering all N- and C-terminal
binding motifs, respectively. Then the corresponding signatures
of MHC-I sequences on the important positions were generated
to reveal the relation between MHC-I sequences and their
binding motifs. In the following subsections, we first demon-
strate the performance of MHCfovea’s predictor using 150
alleles with experimental data. Second, we introduce the
important positions highlighted by ScoreCAM embedded in
MHCfovea’s predictor. Finally, we present the summarization
results on 13,008 alleles in the groups of HLA-A, -B, and -C,
respectively. Additionally, alleles from the same HLA group but
falling into different clusters are identified to disclose the critical
residues that determine the binding preference beyond the HLA
groups.
Performance evaluation of MHCfovea’s predictor. The pre-
dictor of MHCfovea takes an MHC-I-binding cleft sequence with
182 amino acids (a.a.) and a peptide sequence with 8–15 a.a.19 to
predict the binding probability. We trained the predictor using
150 alleles with either binding assay data or ligand elution data
and then tested it on an independent ligand elution dataset built
by Sarkizova et al.15. We adopted a large number of in silico
decoy peptides in parallel with in vivo free peptides (not present
on MHC-I molecules) to train and test the predictor; of note, we
took NetMHCpan4.120 as a reference to set the ratio of decoy
peptides to eluted peptides (decoy-eluted ratio (D-E ratio)) at 30
in the benchmark (testing) dataset. The data sources used are
characterized in Supplementary Table 1 and Supplementary
Data 1.
The number of decoy peptides is notably higher than that of
eluted peptides, meaning that MHC-I–peptide binding prediction is
an extremely imbalanced classification process.
the
imbalance among classes is a common issue in machine learning,
and some methods have been developed to deal with it21. In
MHCfovea, we used the ensemble strategy with downsampling22–24
to resolve such an imbalanced learning task (Fig. 2a).
In fact,
Next, to evaluate the effect of the D-E ratio in the overall
training dataset (denoted as A in Fig. 2a) and the D-E ratio in
each downsized dataset (denoted as B in Fig. 2a), we trained
models with five different D-E ratios (B = 1, 5, 10, 15, and 30) in
each downsized dataset and three different D-E ratios (A = 30,
60, and 90) in the training dataset. Of note, all experimental data
were shared in each downsized dataset, and the decoys were non-
overlapping between each downsized dataset to make sure all the
decoys were used in the ensemble model eventually. Figure 2b
depicts the performance of the validation dataset (Supplementary
Tables 2 and 3). The best model was with D-E ratios of B = 5 and
A = 90, showing an average precision (AP) of 0.898 and an area
under the receiver operating characteristic (ROC) curve (AUC) of
0.991. Therefore, we used the ensemble model with 18 (=90/5)
CNN models (the best performance on the validation dataset) as
the predictor of MHCfovea.
To compare MHCfovea’s predictor with other well-known
including NetMHCpan4.120, MHCflurry2.025, and
predictors,
MixMHCpred2.116, we adopted an independent benchmark dataset
from NetMHCpan4.1. Even though the testing data (benchmark)
are the same in the comparison of this study, the training data of
different predictors are not consistent. Supplementary Table 4 and
Supplementary Fig. 2 summarized the training dataset used by each
predictor. Both of NetMHCpan4.1 or MHCflurry2.0 used more
alleles and a larger number of experimental measurements (positive
peptides) than MHCfovea. To be specific, only one peptide is
unique
for
MixMHCpred2.1, MHCfovea as well as the other two predictors
used more alleles and peptides than it owing to the paucity of public
data when MixMHCpred2.1 was published.
(Supplementary Fig.
in MHCfovea
2b). As
2
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Fig. 1 An overview of MHCfovea. MHCfovea, a deep learning-based framework, contains a prediction module and a summarization module that infers the
relation between MHC-I sequences and peptide-binding motifs. First, the predictor, an ensemble model of multiple convolutional neural networks (CNN
models), was trained on 150 observed alleles. In the predictor, 42 important positions were highlighted from MHC-I sequence (182 a.a.) using ScoreCAM.
Next, we made predictions on 150 observed alleles and 12,858 unobserved alleles against a peptide dataset (number: 254,742) and extracted positive
predictions (score >0.9) to generate the binding motif of an allele. Then, after clustering the N-terminal and C-terminal sub-motifs, we built hyper-motifs
and the corresponding allele signatures based on 42 important positions to reveal the relation between binding motifs and MHC-I sequences.
On the benchmark dataset, MHCfovea showed an AUC of
0.977 (Fig. 2c and Supplementary Table 5) and an AP of 0.841
(Supplementary Fig. 3a and Supplementary Table 5), both better
than those obtained with the other predictors. The primitive
output of MHCfovea is the estimated probability of allele–peptide
binding. For the threshold of predicting an input pair as positive,
setting a threshold at 0.68 reaches a maximal F1 score of 0.837 on
the validation dataset. This threshold is suggested when adopting
MHCfovea as a binary predictor. Apart from the whole bench-
mark dataset, we also evaluated the performance on every allele.
MHCfovea showed a median AUC value of 0.984. For 82 of the
92 (89%) alleles, the AUC is at least 0.95. MHCfovea performed
significantly better than the other predictors with respect to the
AUC and AP metrics (Fig. 2d, Supplementary Fig. 3c, and
Supplementary Data 2).
Next, the performance of our pan-allele model was carefully
examined in the context of 16 unobserved alleles (with no
listed in
experimental measurements in the training dataset),
there is no significant
Supplementary Table 6. Importantly,
difference between the AUC and AP of unobserved alleles and of
the observed alleles
(Fig. 2e, Supplementary Fig. 3e, and
Supplementary Data 3), suggesting that MHCfovea shows good
performance not only toward alleles present in the training data
but also in the context of unobserved alleles. Furthermore, when
compared with other predictors on the ten commonly unobserved
alleles across all the predictors, listed in Supplementary Table 6,
MHCfovea also has slightly better performance (Supplementary
Fig. 3f, g and Supplementary Data 3). The high similarity of
sequences between alleles in the same HLA group was regarded as
a reason for the good performance on unobserved alleles.
Nevertheless, B*55:02 is an unobserved allele with an AUC of
0.993, while no alleles in the group B*55 are present in the
training dataset, giving an example of MHCfovea’s good accuracy
on the alleles of a rarely observed HLA group.
To further evaluate the reliability of the MHCfovea’s predictor
on unseen peptides, we took the sets of similar and dissimilar
peptides in the benchmark dataset
into consideration, where
similar peptides denote a peptide in the testing data is identical or
near-identical (one peptide is another peptide’s substring) to any
peptides
in the training or validation data. Because most
experimental data were conducted on normal human cells, it is
possible to have identical or near-identical peptides in the
benchmark dataset even when we require that no identical
allele–peptide pairs are present in the benchmark and training
(or validation) data simultaneously. Finally, benchmark data were
partitioned into four groups
(1)
unobserved alleles paired with dissimilar peptides; (2) unobserved
alleles paired with similar peptides; (3) observed alleles paired with
dissimilar peptides; and (4) observed alleles paired with similar
peptides. Figure 2f and Supplementary Fig. 3h (Supplementary
Data 4) provide the results on the metrics of AUC and AP,
respectively. For each group, MHCfovea outperformed the other
predictors in the respect of AUC and has better AP than
MHCflurry2.0 and MixMHCpred2.1. Undeniably, similar peptides
have better performance than dissimilar peptides in MHCfovea,
and this phenomenon did not appear in other predictors because
the definition of similar and dissimilar peptides might not
applicable on them because the training data of each predictor
(Supplementary Table 7):
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Fig. 2 The framework and performance of the MHCfovea’s predictor. a The ensemble framework with the partitioning strategy. We first adopted the
training dataset with a decoy–eluted ratio (D-E ratio) of A. The decoy dataset was partitioned into A/B downsized decoy datasets with D-E ratio of B. Then
A/B CNN models were trained on one downsized decoy dataset along with the experimental dataset. Finally, the mean of results was calculated as the
prediction score. b AP and AUC scores on the validation dataset of the ensemble model trained under different D-E ratios in the overall training dataset,
including A = 30, 60, and 90, against different D-E ratios in the downsized decoy dataset, including B = 1, 5, 10, 15, and 30. The x-axis represents the D-E
ratio in the training dataset, and the y-axis represents the metric score. Source data are provided in Supplementary Tables 2 and 3. c–f The following
performances are all applied on the benchmark dataset. c The ROC curves with AUC depict the comparison between predictors. d The violin plot shows the
distribution of AUC of each predictor by alleles (n = 91, one allele was removed because it is unavailable in MixMHCpred2.1). e Comparison of the AUC
between observed (n = 76) and unobserved (n = 16) alleles. f The comparison of AUC on the four groups split from the benchmark dataset between
predictors. In violin plots, boxplots depict the median value with a white dot, the 75th and 25th percentile upper and lower hinges, respectively, and
whiskers with 1.5× interquartile ranges. P values (two-tailed independent t test) are shown as **P ≤ 0.01 and ****P ≤ 0.0001. Source data and details of the
statistical analysis are provided in Supplementary Data 2, 3, and 4.
are different. It is reasonable for a machine learning task to have
better performance on the groups of similar peptides than of
dissimilar ones. Of note, MHCfovea still has better performance
than the other predictors on the dissimilar groups.
Selection of important MHC-I residues. The MHC-I-binding
cleft is a sequence of 182 a.a., some of which occupy highly
polymorphic sites considered as decisive for epitope binding.
investigated the
Therefore, we
important positions using
ScoreCAM17, a kind of CAM algorithm. First, we applied Scor-
eCAM on positive peptides to illustrate how ScoreCAM works,
since it has been widely considered that the second and last
residues of peptides are anchor positions for most alleles26. Fig-
ure 3a (Supplementary Data 5) depicts that the anchor positions
have higher mask scores than other residues, which reveals that
ScoreCAM is capable of highlighting important positions in the
peptide sequences.
4
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Fig. 3 Selection of the important positions. a A clustering heatmap of the peptide mask on each peptide position of each allele. b A stack plot of the
position importance of HLA genes at each MHC-I residue and a heatmap of allele masks derived from ScoreCAM results with clustering on alleles. These
two plots are aligned by MHC-I-binding cleft sequences, to better demonstrate the distribution of mask scores. In the stack plot, different HLA genes were
counted independently due to the number of alleles with variation as well as the divergent patterns of conserved or polymorphic sequences (Supplementary
Fig. 4). As for the heatmap clustering in a, b, we used Euclidean distance and unweighted average linkage for clustering mask scores, and the row color is
used to label the HLA gene. c A scatterplot with linear correlation shows the relationship between polymorphism and importance of each polymorphic MHC-
I residue (n = 80). Information entropy (−ΣP × ln(P), where P is the amino acid frequency) is used to represent the degree of polymorphism. The important
positions selected using ScoreCAM are colored in red, and the 34 residues derived from NetMHCpan4.1 are cross-marked. The blue band represents the
95% confidence interval of the regression fit, and the line represents the estimated regression. d A Venn diagram shows the intersection of the important
position set from each HLA gene and the polymorphic residue sets. Residues in the set of “(A ∪ B ∪ C) ∩ polymorphism” are selected as the 42 important
positions of MHCfovea. Source data are provided in Supplementary Data 5 and 6.
Next, we focused on the positive predictions of the training
dataset and obtained allele masks; briefly, every position has a
mask score representing the relative importance across the 182
a.a. Figure 3b (Supplementary Data 5 and 6) shows the stack plot
importance of each HLA gene at each position and the
of
heatmap clustering of allele masks. The importance of each
position was quantified by the proportion of alleles with a mask
score of >0.4. Importantly, alleles from identical HLA genes were
mostly grouped together in the heatmap, consistent with the
divergence of importance between different HLA genes in the
stack plot. This result indicates that our model not only learned
the differences between HLA-A, -B, and -C but also focused on
different positions in different HLA genes.
Additionally, to evaluate the consistency of polymorphism and
mask score of each position, we applied linear regression analysis
on the degree of polymorphism and importance. The degree of
polymorphism was calculated by the information entropy of a.a.
frequency. Owing to the divergence between HLA genes in
Fig. 3b, the importance scores of HLA-A, -B, and -C were
calculated separately, and the maximum one was chosen as the
final importance. The activation maps derived from CAM-based
approaches are not sharp enough; residues next to the real
important residue could be highlighted simultaneously. This
explains why some non-polymorphic positions also have high
importance;
therefore, before applying linear regression, we
removed all non-polymorphic positions. Figure 3c (Supplemen-
tary Data 6) presents a Pearson’s correlation of 0.67 (P < 0.05)
between polymorphism and importance and reveals that highly
polymorphic sites play a more important role in the predictor.
Polymorphic positions with importance >0.4 were chosen as
important positions. Figure 3d presents the Venn diagram of
position selection. In the end, 42 important positions were
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Fig. 4 The relation between MHC-I sequences and MHC-I-binding motifs. A summarization table of HLA-B. The MHC-I-binding motifs are divided into N-
and C-terminal sub-motifs; sub-motifs are clustered by agglomerative hierarchical clustering. Hyper-motifs and the corresponding allele signatures are
calculated from each sub-motif cluster. In each cluster, the number of alleles and the HLA groups with the number of alleles ≥25 are recorded in the last
two columns. Source data are provided in Supplementary Data 7.
selected, and 13 of them were important in all HLA genes
(Supplementary Data 6).
(the
residues
pseudo-sequence
We compared the selected residues (42 residues) with 34
contact
in
NetMHCpan4.1)20 in Fig. 3c. Some highly polymorphic sites
are not
included in the pseudo-sequence but have high
importance, suggesting that some residues other than the 34
contact residues are essential for epitope binding, such as position
65 and 71.
applied
Expansion and summarization of MHC-I-binding motifs. Each
MHC-I allele has its own binding motif owing to the distinct
MHC-I sequence. To further explore the pattern among different
alleles, we computed the binding motif of alleles in the training
dataset. Since the length of epitopes ranges from 8 to 15 and the
important residues are usually located at the second and last
positions, we focused on the first four (N-terminal) and last four
(C-terminal) residues to construct an 8-a.a.-long motif for pep-
tides bound by each allele26. Supplementary Fig. 5 depicts the
hierarchical clustering of the binding motifs of HLA-B alleles.
Some alleles, especially those of the identical HLA group (e.g.,
B*44), have similar binding motifs and are grouped together;
however, some alleles with similar N-terminal sub-motifs have
dissimilar C-terminal sub-motifs. For example, both HLA-
B*40:01 and HLA-B*41:01 have an E-dominant N-terminal sub-
motif, but the former has an L-dominant C-terminal sub-motif
and the latter has an A-dominant one. This motivated MHCfovea
to cluster the N-terminal and C-terminal sub-motifs separately.
When exploring the relation between HLA sequences and
MHC-I-binding motifs/sub-motifs, we noticed that the number
of alleles in a cluster is too small to form meaningful signatures.
The training dataset has only 150 alleles, a fraction of the 13,008
MHC-I alleles recorded in the IPD-IMGT/HLA database10; it is
difficult to obtain notable MHC-I sequence patterns from such an
insufficient number of alleles. Therefore, we made predictions on
all available alleles to generate more binding motifs, relying on
the good performance of the MHCfovea’s predictor. In total, we
obtained 4158 HLA-A-binding motifs, 4985 HLA-B-binding
motifs, and 3865 HLA-C-binding motifs.
We then retrieved N- and C-terminal sub-motifs and clustered
them into several clusters. Figure 4 (Supplementary Data 7)
shows the clustering of N- and C-terminal sub-motifs of all HLA-
B alleles, with 7 N-terminal and 5 C-terminal sub-motif clusters
where minor clusters that have <50 alleles are neglected. For each
sub-motif cluster, we calculated the hyper-motif and the
corresponding allele signature to represent the preference of
binding motifs and a.a. at
the important positions (Fig. 4,
Supplementary Figs. 6 and 7, and Supplementary Data 7). Of
in each cluster, 50 alleles from each HLA group were
note,
6
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Fig. 5 The combination map of N- and C-terminal hyper-motifs. a The binding motif of an allele is a combination of an N-terminal and a C-terminal hyper-
motif. After allocating all the alleles into the combination map, the cell color is determined by log10(number of alleles in the cell). In each cell with an
allele number >10, the maximal HLA group and HLA groups with an allele number ≥25 or with a proportion (the allele number in the cell to the overall
number of an allele group) >0.1 are listed. b The relation of a combination to its hyper-motifs. Four combinations are used as an example to illustrate the
consistent signatures across different cells in the same column or row. The header column and header row consist of two N-terminal and two C-terminal
clusters, respectively. Then, alleles of a cell, the combination of the N-terminal (column) and C-terminal (row) clusters, are used to generate the
corresponding hyper-motif and allele signature. The color boxes are used to highlight the similar part of allele signatures. Source data are provided in
Supplementary Data 8.
randomly sampled to construct the allele signature to reduce the
imbalance between different HLA groups. Notably, the pattern of
binding motifs and allele signatures are partly interpretable with
the property of a.a. In Fig. 4, the first cluster of C-terminal hyper-
motifs is composed of aromatic residues (e.g., Y and F), whereas
the second and third clusters are composed of aliphatic a.a. (e.g.,
the fifth and sixth clusters of
L, V, I, and A). Moreover,
N-terminal hyper-motifs dominated by basic a.a. (H and R) with
similar allele signatures, indicating that MHC-I–peptide binding
depends on physicochemical properties to some extent.
To investigate the distribution of allele groups with respect to
the combinations of N- and C-terminal clusters, we plotted the
combination heatmap in Fig. 5a (Supplementary Fig. 8 for HLA-
A and -C and Supplementary Data 8), which in total has 35
combinations (7 N-terminus × 5 C-terminus) for HLA-B. Inter-
estingly, five unobserved combinations, not present
in the
training dataset, were discovered by MHCfovea via the pattern
learned from the observed combinations. In Fig. 5b, we presented
four combinations of N- and C-terminal clusters. The noticeable
residues of N- and C-terminal hyper-motifs are mostly located in
the first half and last half part of allele signatures, respectively,
which is consistent with the binding structure of MHC-I
molecules27. For example, the E-dominant cluster has noticeable
residues in the first half part of the allele signature; these residues
are highly conserved in not only different combinations but also
the cluster, which enhances confidence of
the key residues
highlighted in the allele signature.
Disclosure of the HLA groups falling into multiple sub-motif
clusters. Overall, alleles within the same HLA group were clus-
tered into the same sub-motif cluster. However, Fig. 4 shows that
some HLA groups, such as B*15 and B*56, fell into multiple sub-
motif clusters. An HLA group is defined as a multi-cluster HLA
group if its alleles fall into multiple clusters and the second large
cluster contains the number of alleles ≥25 or the ratio to the total
allele number of this group >0.1; MHCfovea identified 27 multi-
cluster HLA groups, listed in Supplementary Table 8.
Here we used the important positions and expanded alleles to
further investigate the multi-cluster HLA groups. Figure 6a
(Supplementary Data 9) shows that the difference in polymorph-
ism between multi-cluster and mono-cluster HLA groups is
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Fig. 6 Characteristics of the HLA groups falling into multiple sub-motif clusters. a Polymorphism on all 182 amino acids or the important positions of
mono-cluster (group number = 44) or multi-cluster (group number = 27) HLA-groups. b AUC and AP of unobserved alleles grouped by mono-cluster
(allele number = 7) or multi-cluster (allele number = 9) HLA-groups. c, d The hyper-motifs and highlighted allele signatures of the N-terminal sub-motif
clusters of B*15 (c) and the C-terminal sub-motif clusters of B*56 (d). The box colored in gray is used to highlight the polymorphic sites. Boxplots depict
the median value with a middle line, the 75th and 25th percentile upper and lower hinges, respectively, whiskers with 1.5× interquartile ranges, and points
as outliers. P values (two-tailed independent t test) are shown as “ns” no significance and **P ≤ 0.01. Source data and details of the statistical analysis are
provided in Supplementary Data 9 and 10.
significant considering the important positions, but not all 182 a.a.
Figure 6b (Supplementary Data 10) shows that MHCfovea has
good performance with respect to unobserved alleles for both the
mono- and multi-cluster HLA groups. Figure 6c, d demonstrate
hyper-motifs and highlighted allele signatures of multi-cluster
HLA groups. Figure 6c shows three major N-terminal sub-motif
clusters of B*15; the gray box highlights the highly polymorphic
sites, especially position 67, which may contribute to different
MHC-I-binding motifs. Additionally, position 65 and 71, not
selected in the pseudo-sequence of NetMHCpan4.1 (Fig. 3c), are
highlighted in the second cluster of Fig. 6c, supporting that some
important positions beyond 34 contact residues are also decisive
for the binding motif. On the other hand, Fig. 6d shows three
major C-terminal sub-motif clusters of B*56; in the B*56 HLA
group, only B*56:01 was present in the training dataset, which
reveals that another two clusters were discovered by MHCfovea
after allele expansion. In summary, these results demonstrate
some notable patterns of MHC-I sequences beyond HLA groups,
corresponding to some specific sub-motifs.
Discussion
Antigen discovery is composed of two major steps, antigen pre-
sentation and T cell recognition1; several researches have built
especially
antigen
accurate
presentation,
predictors
for
MHC–peptide binding12. However, the decisive residues of MHC
sequences for peptide binding are still unspecified. A few studies
have explored the pattern of MHC sequences and peptides14–16;
nevertheless, owing to the limited number of alleles with
experimental measurements, it is hard to conclude the relation of
MHC sequences and binding motifs from all MHC alleles.
Here we developed MHCfovea for predicting binding prob-
ability and providing the connection between MHC-I sequences
and binding motifs. MHCfovea’s predictor outperformed the
other predictors via an ensemble framework with downsampling
to solve the data imbalance between decoy and eluted peptides.
To focus on the important positions determining the binding
motifs, MHCfovea selected 42 a.a. of MHC-I sequences based on
150 observed alleles using ScoreCAM. After expanding the
knowledge from observed alleles to unobserved alleles (total
number: 13,008), MHCfovea delivered 32 pairs (HLA-A: 13,
HLA-B: 12, and HLA-C: 7) of hyper-motifs and allele signatures
on 42 important positions to reveal the relation of MHC-I
sequences and binding motifs. In addition, MHCfovea discovered
some unobserved combinations of N- and C-terminal sub-motifs
with the support from high similarity between allele signatures.
Finally, MHCfovea disclosed some multi-cluster HLA groups,
such as B*15 and B*56, and highlighted the key residues to
determine the different binding motifs.
8
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Since the positive allele–peptide pairs in the benchmark data
have a high ratio of peptides (32.8%) that were present in the
training data, it is not clear if the good performance of MHCfovea
came from the memorization of the peptides in the positive pairs
of the training data. To clarify this point, we built an artificial
dataset by pairing all the alleles in the benchmark dataset and the
positive peptides in the training dataset. Supplementary Fig. 9
depicts the distribution of the artificial dataset, which is close to
the negative data in the benchmark. In other words, the artificial
pairs are recognized as negative samples mostly in the MHCfo-
vea’s predictor. This result indicated that the MHCfovea’s pre-
dictor actually recognized the binding peptides via the sequence
patterns rather than memorizing all the positive peptides in the
training data.
Some limitations of MHCfovea are addressed here. First, the
unobserved binding motifs are derived from predictions.
Although MHCfovea has an accurate performance in the context
of unobserved alleles, the total number of alleles with experi-
mental data is a small fraction of available MHC-I alleles. Second,
sub-motifs with a dominant a.a. can be clustered notably. In
contrast, sub-motifs of HLA-C mostly with no dominant a.a. have
neither obvious clusters nor indistinguishable allele signatures;
therefore, it is difficult to determine the relation between binding
motifs and MHC-I sequences on such alleles. Additionally, the
number of clusters is fixed once summarization is completed. In
this study, some minor clusters with <50 alleles were neglected,
and in the end 32 major clusters are presented in our summar-
ization. Most alleles (12,919 in 13,008, 99%) belong to one
N-terminal and one C-terminal cluster within these 32 clusters. If
new alleles are appended in the future, the process of allele
extension and summarization can be reperformed to generate a
new set of clusters.
As for the binding prediction, the testing dataset is the same for
each predictor, but
is not. Although
the training dataset
MHCfovea has no advantage on the numbers of alleles and
peptides when compared with NetMHCpan4.1 or MHCflurry2.0
(Supplementary Table 4 and Supplementary Fig. 2), the lack of a
public training dataset is still a limitation for comparison between
different algorithms. Furthermore, MHCfovea is only trained on
mono-allelic measurements; adding multi-allelic data to the
training dataset increases not only the number of peptides but
also the diversity of MHC-I alleles. Alvarez et al.28 designed a
semi-supervised method to associate each ligand to its MHC-I
allele, which can potentially deal with the ambiguous annotation
on multi-allelic data. In the future, we will
incorporate this
method with MHCfovea to enlarge the number of observed
alleles; we anticipate increasing the number of experimental data
can further improve model performance and the quality of the
summarization of MHCfovea. Furthermore, a complete immune
response depends on the recognition of MHC-I–peptide com-
plexes by T cells. Building a model for T cell immunogenicity
following MHCfovea is expected to promote the contribution of
computational approaches on antigen discovery.
In summary, MHCfovea successfully connects MHC-I alleles
with binding motifs via deep learning. MHCfovea’s predictor
expanded the knowledge of MHC-I-binding motifs from 150
alleles to 13,008, which were further summarized into pairs of
hyper-motifs and allele signatures. The large number of allele
sequences realized the generalization of allele signatures con-
nected to distinct binding motifs correspondingly. Antigen dis-
covery and vaccine design can be facilitated by knowing such
clustered alleles and their key residues. Additionally, MHCfovea
reveals some multi-cluster HLA groups, which provided addi-
tional examination for allele similarity beyond the allele group,
based on the 42 important positions of MHC-I uncovered by
MHCfovea.
Methods
Preparation of MHC-I sequences. We used the IPD-IMGT/HLA database (ver-
sion 3.41.0)10 as a reference for MHC-I sequences and used peptide-binding clefts
annotated in the UniProt database29 as the target binding region. Of note, the
peptide-binding cleft, composed of α-1 and α-2 regions, is a protein sequence with
182 a.a. and is critical for epitope presentation9. We used the alignment file from
the IPD-IMGT/HLA database and obtained the corresponding sequences to build a
peptide-binding domain database of all MHC-I alleles for the development of the
proposed pan-allele-binding predictor adopted by MHCfovea.
Preparation of peptide data. Experimental data of binding and ligand elution
assays, especially mass spectrometry (MS), were collected from Immune Epitope
Database and Analysis Resource (IEDB)30, the most comprehensive immuno-
peptidome database. Because MHCfovea is a binary classifier for MHC-I–peptide
binding, all measurements were labeled with 0 and 1. For the binding assays, an
IC50 of 500 nM was set as the upper bound for the positive label. As for ligand
elution assay, all samples were labeled as positive.
The binding assay dataset generated in 2013 was directly downloaded from
IEDB. To focus on the prediction of four-digit human MHC-I alleles (for example,
A*01:01), non-human, mutant, and digital-insufficient MHC-I alleles were
excluded. The peptides were restricted to 8–15-mers and this setting covered most
epitopes19. The MS dataset was exported from IEDB on 2020/07/01; the following
filters were used: linear epitopes, human species, MHC class I, and positive MHC
ligand assay. Both 4-digit human alleles and peptides with a length of 8–15 a.a.
were selected, following the same selection strategy as above. After filtration, the
dataset consisted of 515,110 measurements across 150 alleles.
Separation of the training, validation, and benchmark datasets. To build an
isolated testing benchmark, we considered a single experimental reference selected
from the previous ligand elution assay dataset. The MHC-I immunopeptidome
built by Sarkizova et al.15 is the largest mono-allelic MS dataset, comprising
127,371 measurements across 92 alleles and was, therefore, chosen as the testing
benchmark in this study. The binding assay dataset and the MS dataset excluding
the experimental data used in the benchmark were combined to build the training
dataset (95%) and the validation dataset (5%). In addition, to avoid duplication
between training and benchmark datasets, we excluded peptides with identical
allele and peptide sequences from the training and validation datasets and retained
them in the benchmark dataset.
Preparation of decoy peptides. As the MS data only provide positive results, we
prepared a decoy dataset to be used as negative results. We created two types of
decoy peptides, “protein decoy” and “random decoy,” both extracted from the
UniProt proteome. “Protein decoy” refers to the peptides that were generated from
the same protein as an eluted peptide, whereas “random decoy” refers to the
peptides that were randomly extracted from the UniProt proteome. For each eluted
peptide in the benchmark and validation datasets, we created two protein decoy
peptides and two random decoy peptides for each length of 8–15 (a.a.). Duplicated
peptides with identical allele and peptide sequence were excluded. In the end, both
benchmark and validation datasets had a D-E ratio of 30, which is close to that of
the dataset in NetMHCpan4.120. On the other hand, in the training dataset, to
evaluate the effect of D-E ratio on model performance, we generated decoy pep-
tides with D-E ratios >30. For each eluted peptide, we created two protein decoy
peptides and ten random decoy peptides for each length of 8–15 (a.a.). We only
enlarged the number of random decoy peptides, because it was difficult to select
more different unique peptides from a single protein (protein decoy peptides) with
a short length. In the end, the training dataset had a D-E ratio of 90, which is three
times that in the validation and benchmark datasets. The number of data instances
in each dataset is listed in Supplementary Table 1, and the data number by alleles of
the training, validation, and benchmark datasets is recorded in Supplementary
Data 1.
CNN model architecture. The predictor adopted by MHCfovea is an ensemble
model of multiple CNN model. A CNN model takes the allele (182 a.a.) and
peptide (8–15 a.a.) sequences as input; both sequences are encoded with a one-hot
encoder of a.a. The CNN model architecture is shown in Supplementary Fig. 1.
Before concatenation, the encoded vectors are passed through several convolution
blocks separately. The convolution block is composed of a 1D convolution layer
with kernel size 3, stride 1, and zero-padding 1; a batch normalization layer; a
ReLU activation layer; as well as a max-pooling layer. In the allele part, sequences
are passed through four convolution blocks and downsized to a 15-long matrix. In
the peptide part, all sequences are padded with “X” as an unknown a.a. to 15-long
at the end of the sequence, the maximal length of peptides, and three convolution
blocks are applied. After concatenation in the dimension of filters, the matrix is
passed through another two convolution blocks with the replacement of the last
max-pooling layer by a global max-pooling layer followed by a fully connected
layer and a sigmoid operator. Finally, a prediction score is obtained to represent the
binding probability of MHC-I and peptide sequences.
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Model training. MHCfovea uses binary cross entropy as its loss function and the
Adam optimization algorithm with the weight decay of 10−4 as the optimizer. The
number of training epochs was set to 30, and the best model state was chosen after
epoch 24 via the loss of the validation dataset to avoid overfitting. The hyper-
parameters, including the batch size and learning rate, were selected via the grid
search optimizer based on AP of the validation dataset. The batch size of 32 from
the options [16, 32, 64] and the learning rate of 10−4 from the options [10−5, 10−4,
10−3] were selected (Supplementary Table 9). In addition, the learning rate sche-
duler was used to adjust the learning rate during the training process. Of note, the
learning rate was reduced to 10−5 after epoch 15 and to 10−6 after epoch 24.
Prediction of all alleles. With the good performance of MHCfovea’s predictor on
unobserved alleles, we predicted the binding probability of each allele against
254,742 peptides (including all ligand elution data and some decoy peptides whose
number was the same as ligand elution data of the benchmark dataset). In total, 3.3
billion pairs of peptide–allele were tested. The peptides with a prediction score >0.9
(~78 million peptides) were sent to the summarization module to calculate the
binding motif for each allele. Each MHC-I-binding motif with 8 a.a. was composed
of the first four residues (N-terminal) and the last four residues (C-terminal). In
total, we obtained 4158 HLA-A-binding motifs, 4985 HLA-B-binding motifs, and
3865 HLA-C-binding motifs in the summarization step.
Performance metrics. We used four metrics, AUC, AUC0.1, AP, and PPV, to
evaluate the performance of our model as well as that of other predictors. The AUC
is a curve of the true positive rate (TPR) against the false positive rate (FPR).
AUC0.1 has a restriction of the FPR under 0.1. AP is the area under the precision-
recall curve created by plotting the precision against TPR, also called recall. PPV
(positive predictive value) is defined as Eq. (1), where N is the number of positive
measurements.
Sequence motifs. The sequence motif is the pattern of a set sequences. There are
some types of matrices, including position probability matrix (PPM), position
weight matrix, and information content matrix (ICM), used to represent the
sequence motif. In this study, we used PPM to calculate the MHC-I sequence motif
and ICM to calculate the MHC-I-binding motif. From a set S of M aligned
sequences of length L, the elements of the PPM are calculated from Eq. (2), where I
is an indicator function.
PPV ¼
positive predictions within top N predictions
N
ð1Þ
In addition, we calculated these metrics in the context of every allele to evaluate
the distribution of allelic performance.
Threshold and %rank for the prediction score. To explain the prediction score
more explicitly, a positive threshold and the %rank score, the percentage of ranking
among background peptides, were provided. The positive threshold was set
according to the maximal F1 score on the validation dataset. As for the %rank,
10,000 random peptides extracted from the UniProt database were built as the
background peptides to calculate the %rank of each prediction score. When a
prediction receives a %rank of 0.5, it means a peptide binds to MHC-I more
probably than 99.5% random peptides.
Comparison with other predictors. NetMHCpan4.120, MHCflurry2.025, and
MixMHCpred2.116, well-known MHC-I–peptide binding predictors, were com-
pared with the MHCfovea’s predictor. For MHCflurry2.0, we used the variant
model of MHCflurry2.0-BA, the only one trained without our benchmark dataset.
Both NetMHCpan4.1 and MHCflurry2.0 are compatible with all kinds of a.a. and
8–15 length peptides; however, for MHCflurry2.0, we had to replace a.a. beyond 20
human-required a.a. with “X” as an unknown a.a. On the other hand,
MixMHCpred2.1 only allows 8–14 length peptides and sequences within 20 a.a.;
therefore, for accurate comparison, we removed peptides with other a.a. or those
>14 a.a.
First, we tested all models directly on the benchmark dataset and calculated
performance metrics for comparison. The output of MHCflurry2.0 was the IC50 of
the binding affinity; therefore, we used a function (1 − log50,000(x)) to transform
the binding affinity into binding probability. Then the performances of these
models were tested by allele to evaluate the confidence between different alleles. In
total, there are two types of results because of the peptide availability of
MixMHCpred2.1 depicted in Supplementary Data 2 and 4.
Class activation mapping. We applied CAM on our model for interpretation
purposes. CAM-based approaches provide the explanation for a single input with
activation maps from a convolution layer. There are several CAM-based methods,
including CAM18, GradCAM31, GradCAM++32, and ScoreCAM17. ScoreCAM
was chosen due to its stability on the former convolution layer. We applied
ScoreCAM on the second convolution block before the max-pooling layer of the
MHC part (Supplementary Fig. 1). We focused on positive predictions with pre-
diction scores >0.9. The mean of ScoreCAM scores from positive predictions of a
single allele was calculated as the final result called “epitope mask” for epitope part
and “allele mask” for allele part used in Fig. 3. Of note, in epitope and allele masks,
every position has a score representing the relative importance across the 8-a.a.-
long and 182-a.a.-long sequences, respectively.
Selection of the important positions. The training dataset with 150 alleles
composed of 46 HLA-A, 85 HLA-B, as well as 19 HLA-C alleles was used to select
the important positions, and both allele masks and a.a. polymorphism were taken
into consideration. Owing to the divergence between HLA genes, positions from
different HLA genes were chosen separately. First, we calculated the importance of
each position for each HLA gene. The importance of a position was quantified as
the proportion of alleles with mask scores >0.4 (set heuristically). Then, for each
HLA gene, residues with importance >0.4 (also set heuristically) were selected;
however, those with no polymorphism (all alleles had the same a.a.) were dropped.
Then we combined the selected positions from each HLA gene as important
positions of our model. In total, we selected 42 important positions, including
positions 1, 9, 11, 12, 24, 31, 32, 43, 44, 45, 62, 63, 65, 66, 67, 69, 70, 71, 73, 74, 76,
77, 79, 80, 94, 95, 97, 98, 109, 114, 116, 127, 131, 138, 142, 143, 144, 145, 152, 156,
163, and 180 of the MHC-I peptide-binding cleft sequence (182 a.a.).
PPMi;j ¼
1
M
M
∑
k¼1
IðSk;j ¼ iÞ;
i ¼ f20 amino acidsg
j ¼ 1; :::; L
ð2Þ
The ICM is used to correct PPM with background frequencies and highlight
more important residues. The elements of the ICM are calculated from Eq. (3),
where the background frequency B is 0.05 (=1/20) for each a.a.
2
(cid:1)
(cid:3)
3
ICMi;j ¼ PPMi;j
∑
g
m2 20 amino acids
f
4
PPMm;j
´
log2 PPMm;j
B
5
ð3Þ
Sub-motif clustering. An MHC-I-binding motif with 8 a.a. was split into an
N-terminal sub-motif with the first 4 residues of the binding motif and a
C-terminal sub-motif with the last 4 residues of the binding motif. Consequently, a
sub-motif is represented by a 4 × 20 (the number of a.a.) ICM. Before clustering,
the pairwise distance of each sub-motif was calculated via cosine metric. Then we
used agglomerative hierarchical clustering with cosine metrics and maximum
linkage to cluster the pairwise distance. Different numbers of clusters were set for
different HLA genes and termini manually, and minor clusters with <50 alleles
were neglected.
Hyper-motifs and allele signatures. Hyper-motifs and allele signatures are both
used to demonstrate the characteristics of a specific group of alleles. Hyper-motifs
representing the MHC-I-binding motif of alleles were calculated from the element-
wise mean of motif or sub-motif matrices. Allele signatures disclose the preference
of a.a. at important positions. For each sub-motif cluster, we sampled 50 alleles
from each HLA group on a two-digit level to balance the allele number of each
group because of two reasons. First, alleles with the same HLA group have similar
MHC-I sequences, which may lead to similar binding motifs (Supplementary
Fig. 5). Second, there is a huge variation among the allele number of different HLA
groups. For example, HLA-B*07 has 394 alleles, but HLA-B*56 only has 69 alleles.
Of note, if the allele number of an HLA group was <50, all alleles were selected.
Afterward, to generate the allele signature matrix (ASM), we had to calculate a
background PPM (PPMbackground) from all sampled alleles of an HLA gene and a
PPM of sampled alleles from a specific sub-motif cluster (PPMcluster). On the other
hand, to evaluate the sequence pattern of HLA groups, we also calculated the PPM
of alleles from an HLA group in a specific sub-motif cluster (PPMgroup). The
ASMcluster was defined as the positive part of the difference between PPMcluster and
PPMbackground in Eq. (4); the ASMgroup was defined as the difference between
PPMgroup and PPMbackground in Eq. (5), where Iverson bracket was used to set
positive elements and the others as 1 and 0, respectively.
ASMcluster ¼ f þ PPMcluster (cid:2) PPMbackground
(cid:4)
(cid:4)
(cid:5)
(cid:5)
; f þðxÞ ¼ max f xð Þ; 0
(cid:4)
(cid:5)
ð4Þ
ð5Þ
ASMgroup ¼ g PPMgroup (cid:2) PPMbackground
; gðxÞ ¼ x > 0
(cid:3)
For instance, we used 1790 sampled HLA-B alleles to generate the
½
PPMbackground of HLA-B and 502 sampled alleles of the P-dominant sub-motif
cluster (Fig. 4) to produce the PPMcluster. The allele signature of the P-dominant N-
terminal sub-motif in the header row of Fig. 4 was calculated from the difference of
these two probability matrices.
In addition, the highlighted allele signature demonstrated in Fig. 6c, d was used
to highlight the similarity of allele signatures of the specific alleles and of the
corresponding sub-motif clusters. We implemented the element-wise product to
get the highlighted allele signatures in Eq. (6), where L is the sequence length and
HASM is the matrix of the highlighted allele signature.
(cid:4)
HASMi;j ¼ ASMgroup (cid:4) ASMcluster
(cid:5)
;
i;j
i ¼ f20 amino acidsg
j ¼ 1; :::; L
ð6Þ
Statistics and reproducibility. For all comparisons of performance, we used two-
tailed independent t test and set the criterion for statistical significance as P < 0.05.
10
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ARTICLE
For the relation between polymorphism and importance of each polymorphic
MHC-I residue, we fit a linear regression along with 95% confidence interval
(Fig. 3c).
Reporting summary. Further information on research design is available in the Nature
Research Reporting Summary linked to this article.
Data availability
Several public databases were used in this study, including Immune Epitope Database
and Analysis Resource (IEDB) (https://www.iedb.org/) for experimental measurements,
UniProt (https://ftp.uniprot.org/pub/databases/uniprot/current_release/knowledgebase/
complete/uniprot_sprot.fasta.gz) for decoy peptides, and IPD-IMGT/HLA (https://
github.com/ANHIG/IMGTHLA/tree/3410) for MHC-I allele sequences. Research data
files supporting this study, including the peptide-binding cleft sequence of MHC-I alleles;
the training, validation, and benchmark datasets; the prediction of the validation and
benchmark datasets; and the prediction of the allele expansion are available from
Mendeley Data (https://doi.org/10.17632/c249p8gdzd.3)33. Source data for all figures are
provided in Supplementary Data.
Code availability
The source code of the research and the MHCfovea’s predictor are freely available at
GitHub (https://github.com/kohanlee1995/MHCfovea) and Mendeley Data33 for
academic non-commercial research purposes. All source codes are based on Python
(v3.6.9) and its packages, including numpy (v1.18.2), pandas (v1.0.3), scikit-learn
(v0.22.2), pytorch (v1.4.0), matplotlib (v3.2.1), seaborn (v0.10.0), logomaker (v0.8).
Numpy, pandas, and scikit-learn, are used for data analysis; pytorch is used for deep
learning; matplotlib, seaborn, and logomaker are used for visualization. The website for
the summarization of MHCfovea is available at https://mhcfovea.ailabs.tw.
Received: 14 February 2021; Accepted: 24 September 2021;
References
1.
Blum, J. S., Wearsch, P. A. & Cresswell, P. Pathways of antigen processing.
Annu. Rev. Immunol. 31, 443–473 (2013).
Purcell, A. W., McCluskey, J. & Rossjohn, J. More than one reason to rethink the
use of peptides in vaccine design. Nat. Rev. Drug Discov. 6, 404–414 (2007).
Sette, A. & Rappuoli, R. Reverse vaccinology: developing vaccines in the era of
genomics. Immunity 33, 530–541 (2010).
Sahin, U. & Türeci, Ö. Personalized vaccines for cancer immunotherapy.
Science 359, 1355–1360 (2018).
2.
3.
4.
5. Malonis, R. J., Lai, J. R. & Vergnolle, O. Peptide-based vaccines: current
progress and future challenges. Chem. Rev. 120, 3210–3229 (2020).
Schumacher, T. N. & Schreiber, R. D. Neoantigens in cancer immunotherapy.
Science 348, 69–74 (2015).
6.
7. Keskin, D. B. et al. Neoantigen vaccine generates intratumoral T cell responses
in phase Ib glioblastoma trial. Nature 565, 234–239 (2019).
8. Han, X.-J. et al. Progress in neoantigen targeted cancer immunotherapies.
Front. Cell Dev. Biol. 8, 728 (2020).
9. Wieczorek, M. et al. Major histocompatibility complex (MHC) class I and
MHC class II proteins: conformational plasticity in antigen presentation.
Front. Immunol. 8, 292 (2017).
10. Robinson, J. et al. IPD-IMGT/HLA Database. Nucleic Acids Res. 48,
D948–D955 (2020).
11. Finotello, F., Rieder, D., Hackl, H. & Trajanoski, Z. Next-generation
computational tools for interrogating cancer immunity. Nat. Rev. Genet. 20,
724–746 (2019).
12. Mei, S. et al. A comprehensive review and performance evaluation of
bioinformatics tools for HLA class I peptide-binding prediction. Brief.
Bioinform. 21, 1119–1135 (2020).
13. Zhang, L., Udaka, K., Mamitsuka, H. & Zhu, S. Toward more accurate pan-
specific MHC-peptide binding prediction: a review of current methods and
tools. Brief. Bioinform. 13, 350–364 (2012).
14. Sidney, J., Peters, B., Frahm, N., Brander, C. & Sette, A. HLA class I
supertypes: a revised and updated classification. BMC Immunol. 9, 1 (2008).
15. Sarkizova, S. et al. A large peptidome dataset improves HLA class I epitope
prediction across most of the human population. Nat. Biotechnol. 38, 199–209
(2020).
16. Bassani-Sternberg, M. et al. Deciphering HLA-I motifs across HLA
peptidomes improves neo-antigen predictions and identifies allostery
regulating HLA specificity. PLoS Comput. Biol. 13, e1005725 (2017).
17. Wang, H. et al. Score-CAM: score-weighted visual explanations for
convolutional neural networks. In 2020 IEEE/CVF Conference on Computer
Vision and Pattern Recognition Workshops (CVPRW) 111–119 (IEEE, 2020).
18. Zhou, B., Khosla, A., Lapedriza, A., Oliva, A. & Torralba, A. Learning deep
features for discriminative localization. In 2016 IEEE Conference on Computer
Vision and Pattern Recognition (CVPR) 2921–2929 (IEEE, 2016).
19. Trolle, T. et al. The length distribution of class I–restricted T cell epitopes is
determined by both peptide supply and MHC allele–specific binding
preference. J. Immunol. 196, 1480–1487 (2016).
20. Reynisson, B., Alvarez, B., Paul, S., Peters, B. & Nielsen, M. NetMHCpan-4.1
and NetMHCIIpan-4.0: improved predictions of MHC antigen presentation
by concurrent motif deconvolution and integration of MS MHC eluted ligand
data. Nucleic Acids Res. 48, 449–454 (2020).
21. He, H. & Garcia, E. A. Learning from imbalanced data. IEEE Trans. Knowl.
Data Eng. 21, 1263–1284 (2009).
22. Liu, X.-Y., Wu, J. & Zhou, Z.-H. Exploratory undersampling for class-
imbalance learning. IEEE Trans. Syst. Man Cybern. Part B 39, 539–550 (2009).
23. Schubach, M., Re, M., Robinson, P. N. & Valentini, G. Imbalance-Aware
Machine Learning for Predicting Rare and Common Disease-Associated Non-
Coding Variants. Sci. Rep. 7, 2959 (2017).
24. Chuang, K.-W. & Chen, C.-Y. Predicting pathogenic non-coding variants on
imbalanced data set using cluster ensemble sampling. in 2019 IEEE 19th
International Conference on Bioinformatics and Bioengineering (BIBE)
850–855 (IEEE, 2019).
25. O’Donnell, T. J., Rubinsteyn, A. & Laserson, U. MHCflurry 2.0: improved
pan-allele prediction of MHC class I-presented peptides by incorporating
antigen processing. Cell Syst. 11, 42–48.e7 (2020).
26. Bassani-Sternberg, M. & Gfeller, D. Unsupervised HLA peptidome
deconvolution improves ligand prediction accuracy and predicts cooperative
effects in peptide–HLA interactions. J. Immunol. 197, 2492–2499 (2016).
27. van Deutekom, H. W. M. & Keşmir, C. Zooming into the binding groove of
HLA molecules: which positions and which substitutions change peptide
binding most? Immunogenetics 67, 425–436 (2015).
28. Alvarez, B. et al. NNAlign-MA; MHC peptidome deconvolution for accurate
MHC binding motif characterization and improved t-cell epitope predictions.
Mol. Cell. Proteomics 18, 2459–2477 (2019).
29. Bateman, A. UniProt: a worldwide hub of protein knowledge. Nucleic Acids
Res. 47, D506–D515 (2019).
30. Vita, R. et al. The Immune Epitope Database (IEDB): 2018 update. Nucleic
Acids Res. 47, D339–D343 (2019).
31. Selvaraju, R. R. et al. Grad-CAM: visual explanations from deep networks via
gradient-based localization. Int. J. Computer Vis. 128, 336–359 (2020).
32. Chattopadhay, A., Sarkar, A., Howlader, P. & Balasubramanian, V. N. Grad-
CAM++: generalized gradient-based visual explanations for deep
convolutional networks. in 2018 IEEE Winter Conference on Applications of
Computer Vision (WACV) 839–847 (IEEE, 2018).
33. Lee, K.-H. et al. Data for: Connecting MHC-I-binding motifs with HLA alleles
via deep learning. Mendeley Data https://doi.org/10.17632/c249p8gdzd.3 (2021).
Acknowledgements
We thank Tsung-Ting Hsieh and Hung-Ching Chang from Taiwan AI Labs for pro-
viding computational and mathematical advices. We acknowledge support from the
Ministry of Science and Technology, Taiwan (MOST 109-2221-e-002-161-MY3).
Author contributions
K.-H.L., Y.-C.C. and C.-Y.C. designed the study. K.-H.L. prepared and analyzed the data;
developed, validated, and interpreted the predictor; summarized the predicted results;
and wrote the manuscript. Y.-C.C. designed the figures of the MHCfovea overview and
CNN model framework. T.-F.C. built the website. H.-F.J., H.-K.T. and C.-Y.C. revised the
manuscript.
Competing interests
The authors declare no competing interests.
Additional information
Supplementary information The online version contains supplementary material
available at https://doi.org/10.1038/s42003-021-02716-8.
Correspondence and requests for materials should be addressed to Chien-Yu Chen.
Peer review information Communications Biology thanks Claudio Mirabello and the
other anonymous reviewer(s) for their contribution to the peer review of this work.
Primary handling editor: George Inglis. Peer reviewer reports are available. This article
has been peer reviewed as part of Springer Nature’s Guided Open Access initiative.
Reprints and permission information is available at http://www.nature.com/reprints
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in
published maps and institutional affiliations.
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