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"""Cell fluorescence quantification.
Implements the protocol from the documentation:
Cytoplasm Area = Cell Area - Nucleus Area
Cytoplasm IntDen = Cell IntDen - Nucleus IntDen
Mean Cytoplasm = Cytoplasm IntDen / Cytoplasm Area
The nucleus is segmented from the blue (DAPI) channel.
The cell region is defined by dilating each nucleus by a fixed radius,
with a Voronoi-style constraint so cells do not overlap.
Fluorescence intensity is measured in the red channel.
"""
from __future__ import annotations
import warnings
from dataclasses import dataclass
import cv2
import numpy as np
from scipy import ndimage as ndi
from skimage import filters, measure, morphology, segmentation
from skimage.feature import peak_local_max
warnings.filterwarnings("ignore", category=FutureWarning)
warnings.filterwarnings("ignore", category=UserWarning)
@dataclass
class CellMeasurement:
"""Holds the measurements for a single detected cell."""
cell_id: int
centroid: tuple[float, float]
cell_area: int
nucleus_area: int
cytoplasm_area: int
cell_intden: float
nucleus_intden: float
cytoplasm_intden: float
mean_cytoplasm: float
cell_mask: np.ndarray
nucleus_mask: np.ndarray
def _segment_nuclei(
blue_channel: np.ndarray,
min_area: int = 800,
max_area: int = 30000,
) -> np.ndarray:
"""Segment nuclei from the blue (DAPI) channel.
Returns an int32 label image with one positive integer per nucleus.
"""
if blue_channel.dtype != np.uint8:
blue_channel = blue_channel.astype(np.uint8)
blurred = cv2.GaussianBlur(blue_channel, (7, 7), 1.8)
# Otsu threshold on smoothed channel.
try:
thresh = filters.threshold_otsu(blurred)
except ValueError:
return np.zeros_like(blue_channel, dtype=np.int32)
nuclei_mask = blurred > thresh
# Clean small holes / objects and smooth boundaries.
nuclei_mask = morphology.remove_small_holes(nuclei_mask, area_threshold=500)
nuclei_mask = morphology.remove_small_objects(nuclei_mask, min_size=min_area)
nuclei_mask = morphology.opening(nuclei_mask, morphology.disk(2))
if not nuclei_mask.any():
return np.zeros_like(blue_channel, dtype=np.int32)
# Watershed splitting on the distance transform of the binary mask.
distance = ndi.distance_transform_edt(nuclei_mask)
smoothed_dist = cv2.GaussianBlur(distance.astype(np.float32), (5, 5), 1.0)
coords = peak_local_max(
smoothed_dist,
min_distance=25,
labels=nuclei_mask,
threshold_abs=5,
)
if len(coords) == 0:
return np.zeros_like(blue_channel, dtype=np.int32)
marker_mask = np.zeros(distance.shape, dtype=bool)
marker_mask[tuple(coords.T)] = True
markers, _ = ndi.label(marker_mask)
labels = segmentation.watershed(-smoothed_dist, markers, mask=nuclei_mask)
# Drop nuclei outside the size band, re-label sequentially.
props = measure.regionprops(labels)
new_labels = np.zeros_like(labels, dtype=np.int32)
next_id = 1
for p in props:
if min_area <= p.area <= max_area:
new_labels[labels == p.label] = next_id
next_id += 1
return new_labels
def _expand_to_cells(
nuclei_labels: np.ndarray,
dilation_radius: int = 12,
) -> np.ndarray:
"""Expand each nucleus outward by `dilation_radius` pixels.
Cells do not overlap: each background pixel is assigned to its nearest
nucleus, then we keep only pixels within `dilation_radius` of any nucleus.
"""
if nuclei_labels.max() == 0:
return np.zeros_like(nuclei_labels, dtype=np.int32)
background = nuclei_labels == 0
# ndi.distance_transform_edt with return_indices gives nearest foreground pixel.
dist, nearest_inds = ndi.distance_transform_edt(background, return_indices=True)
expanded = nuclei_labels.copy()
expanded[background] = nuclei_labels[tuple(nearest_inds[:, background])]
within_radius = dist <= dilation_radius
cell_labels = np.where(within_radius, expanded, 0).astype(np.int32)
return cell_labels
def _measure_cells(
nuclei_labels: np.ndarray,
cell_labels: np.ndarray,
red_channel: np.ndarray,
) -> list[CellMeasurement]:
"""Compute per-cell statistics from the red channel."""
r = red_channel.astype(np.float32)
nucleus_props = {p.label: p for p in measure.regionprops(nuclei_labels)}
results: list[CellMeasurement] = []
unique_labels = np.unique(cell_labels)
for label in unique_labels:
if label == 0 or label not in nucleus_props:
continue
cell_mask = cell_labels == label
nuc_mask = nuclei_labels == label
cell_area = int(cell_mask.sum())
nuc_area = int(nuc_mask.sum())
if cell_area <= nuc_area:
continue
cyto_area = cell_area - nuc_area
cell_intden = float(r[cell_mask].sum())
nuc_intden = float(r[nuc_mask].sum())
cyto_intden = cell_intden - nuc_intden
mean_cyto = cyto_intden / cyto_area if cyto_area > 0 else 0.0
results.append(
CellMeasurement(
cell_id=int(label),
centroid=nucleus_props[label].centroid,
cell_area=cell_area,
nucleus_area=nuc_area,
cytoplasm_area=cyto_area,
cell_intden=cell_intden,
nucleus_intden=nuc_intden,
cytoplasm_intden=cyto_intden,
mean_cytoplasm=mean_cyto,
cell_mask=cell_mask,
nucleus_mask=nuc_mask,
)
)
return results
def _select_representative_cells(
measurements: list[CellMeasurement],
nuclei_labels: np.ndarray,
n_cells: int = 5,
min_centroid_distance: float = 120.0,
) -> list[CellMeasurement]:
"""Select up to n_cells well-formed, spread-out cells."""
if not measurements:
return []
H, W = nuclei_labels.shape
border_margin = 5
def touches_border(m: CellMeasurement) -> bool:
ys, xs = np.where(m.nucleus_mask)
return bool(
ys.min() <= border_margin
or xs.min() <= border_margin
or ys.max() >= H - border_margin - 1
or xs.max() >= W - border_margin - 1
)
def solidity(m: CellMeasurement) -> float:
props = measure.regionprops(m.nucleus_mask.astype(np.int32))
if not props:
return 0.0
return float(props[0].solidity)
# 1) Filter out border-touching and badly shaped nuclei when we have enough.
candidates = [m for m in measurements if not touches_border(m) and solidity(m) > 0.85]
if len(candidates) < n_cells:
candidates = [m for m in measurements if not touches_border(m)]
if len(candidates) < n_cells:
candidates = list(measurements)
# 2) Bias toward cells with above-median mean cytoplasm intensity
# (avoids picking dim background-like regions).
if len(candidates) > n_cells:
means = np.array([m.mean_cytoplasm for m in candidates])
threshold = float(np.median(means)) * 0.85
above = [m for m in candidates if m.mean_cytoplasm >= threshold]
if len(above) >= n_cells:
candidates = above
# 3) Prefer larger, better-formed nuclei.
candidates.sort(key=lambda m: -m.nucleus_area)
# 4) Pick spread-out cells.
selected: list[CellMeasurement] = []
used: list[tuple[float, float]] = []
for m in candidates:
cy, cx = m.centroid
if all(np.hypot(cy - uy, cx - ux) > min_centroid_distance for uy, ux in used):
selected.append(m)
used.append((cy, cx))
if len(selected) >= n_cells:
break
# 5) Fill remaining slots if needed (drop the spacing constraint).
if len(selected) < n_cells:
for m in candidates:
if m not in selected:
selected.append(m)
if len(selected) >= n_cells:
break
return selected[:n_cells]
def analyze_image(
image_rgb: np.ndarray,
n_cells: int = 5,
dilation_radius: int = 12,
) -> list[CellMeasurement]:
"""Full pipeline: segment, expand, measure, and select cells.
Parameters
----------
image_rgb : (H, W, 3) uint8 array
The fluorescence image (blue = nuclei, red = cytoplasm marker).
n_cells : int
How many cells to report (default 5, matching the protocol).
dilation_radius : int
Pixel radius for the cytoplasm ring around each nucleus.
"""
if image_rgb.ndim != 3 or image_rgb.shape[2] < 3:
raise ValueError("Input must be an RGB image with at least 3 channels.")
red = image_rgb[..., 0]
blue = image_rgb[..., 2]
nuclei_labels = _segment_nuclei(blue)
if nuclei_labels.max() == 0:
return []
cell_labels = _expand_to_cells(nuclei_labels, dilation_radius=dilation_radius)
all_cells = _measure_cells(nuclei_labels, cell_labels, red)
selected = _select_representative_cells(all_cells, nuclei_labels, n_cells=n_cells)
# Re-number the selected cells 1..N for display.
renumbered: list[CellMeasurement] = []
for new_id, m in enumerate(selected, start=1):
renumbered.append(
CellMeasurement(
cell_id=new_id,
centroid=m.centroid,
cell_area=m.cell_area,
nucleus_area=m.nucleus_area,
cytoplasm_area=m.cytoplasm_area,
cell_intden=m.cell_intden,
nucleus_intden=m.nucleus_intden,
cytoplasm_intden=m.cytoplasm_intden,
mean_cytoplasm=m.mean_cytoplasm,
cell_mask=m.cell_mask,
nucleus_mask=m.nucleus_mask,
)
)
return renumbered
def draw_overlay(
image_rgb: np.ndarray,
cells: list[CellMeasurement],
outline_color: tuple[int, int, int] = (255, 255, 0),
thickness: int = 2,
) -> np.ndarray:
"""Draw cell + nucleus outlines and labels onto a copy of the image."""
out = image_rgb.copy()
for m in cells:
for mask in (m.cell_mask, m.nucleus_mask):
contours, _ = cv2.findContours(
mask.astype(np.uint8), cv2.RETR_EXTERNAL, cv2.CHAIN_APPROX_SIMPLE
)
cv2.drawContours(out, contours, -1, outline_color, thickness)
cy, cx = m.centroid
label = f"Cell {m.cell_id}"
(tw, th), _ = cv2.getTextSize(label, cv2.FONT_HERSHEY_SIMPLEX, 0.7, 2)
x0 = int(cx - tw // 2)
y0 = int(cy + th // 2)
cv2.rectangle(
out,
(x0 - 4, y0 - th - 4),
(x0 + tw + 4, y0 + 4),
(255, 255, 255),
-1,
)
cv2.putText(
out,
label,
(x0, y0),
cv2.FONT_HERSHEY_SIMPLEX,
0.7,
(0, 0, 0),
2,
)
return out
def cells_to_records(cells: list[CellMeasurement]) -> list[dict]:
"""Convert a list of CellMeasurement objects to plain dict records."""
rows = []
for m in cells:
rows.append(
{
"Cell": f"Cell {m.cell_id}",
"Total cell area": m.cell_area,
"Nucleus area": m.nucleus_area,
"Cytoplasm area": m.cytoplasm_area,
"Total Cell IntDen": round(m.cell_intden, 2),
"Nucleus IntDen": round(m.nucleus_intden, 2),
"Cytoplasm IntDen": round(m.cytoplasm_intden, 2),
"Mean Cytoplasm Fluorescence": round(m.mean_cytoplasm, 4),
}
)
return rows