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import numbers
import numpy as np
import pandas as pd
import scipy as sp
from scipy.optimize import bisect
import scipy.special
import rdkit
from rdkit.Chem import AllChem as Chem
import chemicals
import mordred
import mordred.descriptors
def Piringer(Mw, Ap, T=310.):
# Semi-empirical model for D(Mw) given polymer property Ap- Toxicol. Sci. 2019, 172 (1), 201–212.
if Mw > 1100.: # if molecule is greater than 1100 g/mol, default to that value as worst case
Mw = 1100.
return 1e4 * np.exp(Ap - 0.1351 * Mw ** (2. / 3.) + 0.003 * Mw - 10454. / T)
def PowerLaw(Mw, A, B):
logMw = np.log(Mw)
logD = A+logMw*B
return np.exp(logD)
def Polymers():
PolyData = pd.read_csv('data/polymer_names_noglasses.tsv', sep='\t')
polymers = np.array(list(PolyData['Polymer_Name']))
categories = np.array(list(PolyData['New Class']))
#polymers = np.array(list(PolyData['Polymer_Name']) + ['Other polymer'])
#categories = np.array(list(PolyData['New Class']) + [None])
return polymers, categories
# Get polymers
polymers, categories = Polymers()
# Get solutes
soluteData = pd.read_excel('data/soluteData.xlsx')
nSolutes = len(soluteData)
## list of solvents to include, all semi-polar and non-polar solvents in ISO 10993-18:2020 Table D.1 (except DMSO, which is not used in practice)
df_visc = pd.read_excel('data/solventData.xlsx')
solvents = df_visc["Solvent_Name"].tolist()
## sampling parameters
N_sample = int(1e5)
#rng = np.random.Generator(np.random.PCG64(seed=12345))
## c distribution parameters
T_cut = 20
MW_cut = 20
use_new = True
T_cut_new = 0.5
#### read data files
# CHRIS parameter distributions
if not use_new:
param_dists = {}
with open('data/param_distribution_37.json','r') as fp:
param_dists[37] = json.load(fp)
with open('data/param_distribution_50.json','r') as fp:
param_dists[50] = json.load(fp)
else:
with open('data/param_distribution_allT.json','r') as fp:
param_dists = json.load(fp)
# other stuff
df_desc = pd.read_excel(f'data/data-descriptors-mordred-numconfs51.xlsx', usecols=['Solute_InChIKey', 'Vabc','VMcGowan'])
if not use_new:
## clean data
df_final_37 = pd.read_excel('data/db-D-interp-37-clean.xlsx')
df_final_50 = pd.read_excel('data/db-D-interp-50-clean.xlsx')
# convert all T to K
df_final_37['T'] = df_final_37['T'] + 273.15
df_final_37['Polymer_Tg'] = df_final_37['Polymer_Tg'] + 273.15
df_final_37['Polymer_Tm'] = df_final_37['Polymer_Tm'] + 273.15
df_final_50['T'] = df_final_50['T'] + 273.15
df_final_50['Polymer_Tg'] = df_final_50['Polymer_Tg'] + 273.15
df_final_50['Polymer_Tm'] = df_final_50['Polymer_Tm'] + 273.15
# add volumes
df_final_37 = pd.merge(df_final_37, df_desc[['Solute_InChIKey', 'Vabc', 'VMcGowan']], how='left', on='Solute_InChIKey', suffixes=('', '_dupe'))
df_final_50 = pd.merge(df_final_50, df_desc[['Solute_InChIKey', 'Vabc', 'VMcGowan']], how='left', on='Solute_InChIKey', suffixes=('', '_dupe'))
else:
## clean data
df_final = pd.read_excel('data/db-D-interp-allT-clean.xlsx')
# convert all T to K
df_final['T'] = df_final['T'] + 273.15
df_final['Polymer_Tg'] = df_final['Polymer_Tg'] + 273.15
df_final['Polymer_Tm'] = df_final['Polymer_Tm'] + 273.15
# add volumes
df_final = pd.merge(df_final, df_desc[['Solute_InChIKey', 'Vabc', 'VMcGowan']], how='left', on='Solute_InChIKey', suffixes=('', '_dupe'))
#### solvent-specific viscosity
# add MW
Solvent_MWs = {solv:df_visc.loc[df_visc['Solvent_Name']==solv,'MW'].iloc[0] for solv in solvents}
#Solvent_Densities = {solv:string2density(solv)[0] for solv in solvents}
Solvent_Densities = {solv:df_visc.loc[df_visc['Solvent_Name']==solv,'density'].iloc[0] for solv in solvents}
Solvent_PIs = {solv:df_visc.loc[df_visc['Solvent_Name']==solv,'polarity index'].iloc[0] for solv in solvents}
# linear relation to estimate Vabc when it fails for a molecule
Vabc = df_desc['Vabc']
Vmcg = df_desc['VMcGowan']
m = ~pd.isna(Vabc)
popt_V = np.polyfit(Vmcg[m], Vabc[m], 1)
# ---- model: Grunberg–Nissan style with polynomial interaction that vanishes at x=0,1 ----
# fitted to data from R. Belda, J. V. Herráez, O. Diez, Rheological study and thermodynamic analysis of the binary system (water/ethanol): Influence of concentration. Physics and Chemistry of Liquids 42, 467-479 (2004).
popt_etoh = np.array([-6.35036532e+00, 1.86507282e+03, -5.30902320e+00, 1.60463200e+03, -1.03040657e+01, 3.05646061e+00, -4.93824317e+00, 4.16274239e+03, -1.18411097e+03, 1.69557649e+03])
def predict_lneta(p, T, x, n_poly=3, interaction_has_T=True):
Aw, Bw, Ae, Be = p[:4] # ln(eta_w)=Aw+Bw/T, ln(eta_e)=Ae+Be/T
ln_eta_w = Aw + Bw / T
ln_eta_e = Ae + Be / T
xc = 2.0*x - 1.0 # map wt frac [0,1] -> [-1,1]
Phi = np.vstack([xc**k for k in range(n_poly)]) # (n_poly, N)
if interaction_has_T:
a = p[4:4+n_poly]
b = p[4+n_poly:4+2*n_poly]
G = (a @ Phi) + (b @ Phi) / T
else:
a = p[4:4+n_poly]
G = (a @ Phi)
return x*ln_eta_e + (1-x)*ln_eta_w + x*(1-x)*G
def get_WC(T,solv,V):
params = df_visc[df_visc['Solvent_Name']==solv].iloc[0]
if params['Equation'] == '10^A(1/T-1/B)':
eta = 10**(params['A']*(1/T-1/params['B']))
elif params['Equation'] == 'A*exp(B/T)':
eta = params['A']*np.exp(params['B']/T)
elif params['Equation'] == 'E*exp(A+B/(T/298.15)+C/(T/298.15)^2+D/(T/298.15)^3)':
eta = params['E']*np.exp(params['A'] + params['B']/(T/298.15) + params['C']/(T/298.15)**2 + params['D']/(T/298.15)**3)
elif params['Equation'] == 'A*exp(-0.01*B*(T-298.15))':
eta = params['A']*np.exp(-0.01*params['B']*(T-298.15))
elif params['Equation'] == 'A+BT/1+CT+DT^2':
eta = (params['A']+params['B']*T) / (1 + params['C']*T + params['D']*T**2)
elif params['Equation'] == 'A+B/T+C/T^2+D/T^3':
eta = params['A'] + params['B']/T + params['C']/T**2 + params['D']/T**3
elif params['Equation'] == 'A*298.15/T':
eta = params['A'] * 298.15/T
elif params['Equation'] == 'A*T+B':
eta = params['A'] * T + params['A']
elif params['Equation'] == 'fitted_EtOH':
# assuming 50% is by volume --> by mass for consistency with fitted model
eta = np.exp(predict_lneta(popt_etoh, T, 0.5*0.7898/(0.5*0.7898+0.5*1.000), n_poly=3, interaction_has_T=True))
else:
eta = np.nan
D_WC = 7.4e-8*(params['MW']*params['WC_assoc_param'])**0.5*(T)/eta/V**0.6
return D_WC, eta, params['MW']
#### add Wilke-Chang
if not use_new:
## 50 C
# estimate Vabc for those with nan values
m = pd.isna(df_final_50['Vabc'])
v = np.polyval(popt_V, df_final_50['VMcGowan'][m])
df_final_50.loc[m, 'Vabc'] = v
T = df_final_50['T']
V = df_final_50['Vabc']
for solv in solvents:
D_WC, eta, MW_solvent = get_WC(T, solv, V)
df_final_50[f'eta_{solv}'] = eta
df_final_50[f'D_WC_{solv}'] = D_WC
df_final_50[f'MW_solvent_{solv}'] = MW_solvent
## 37 C
# estimate Vabc for those with nan values
m = pd.isna(df_final_37['Vabc'])
v = np.polyval(popt_V, df_final_37['VMcGowan'][m])
df_final_37.loc[m, 'Vabc'] = v
T = df_final_37['T']
V = df_final_37['Vabc']
for solv in solvents:
D_WC, eta, MW_solvent = get_WC(T, solv, V)
df_final_37[f'eta_{solv}'] = eta
df_final_37[f'D_WC_{solv}'] = D_WC
df_final_37[f'MW_solvent_{solv}'] = MW_solvent
else:
# estimate Vabc for those with nan values
m = pd.isna(df_final['Vabc'])
v = np.polyval(popt_V, df_final['VMcGowan'][m])
df_final.loc[m, 'Vabc'] = v
T = df_final['T']
V = df_final['Vabc']
for solv in solvents:
D_WC, eta, MW_solvent = get_WC(T, solv, V)
df_final[f'eta_{solv}'] = eta
df_final[f'D_WC_{solv}'] = D_WC
df_final[f'MW_solvent_{solv}'] = MW_solvent
def get_V(smiles):
mol = Chem.MolFromSmiles(smiles)
calc = mordred.Calculator([mordred.descriptors.VdwVolumeABC, mordred.descriptors.McGowanVolume])
Vabc,Vmcg = list(calc(mol).values())
if not isinstance(Vabc, numbers.Number):
Vabc = np.polyval(popt_V, Vmcg)
return Vabc
#### Vrentas-Duda setup
df_vd_solv = pd.read_excel('data/vrentas-duda-params.xlsx', sheet_name='Solutes')
df_vd_solv.drop_duplicates(keep='first', inplace=True, ignore_index=True) # drop exact duplicates
df_vd_poly = pd.read_excel('data/vrentas-duda-params.xlsx', sheet_name='Polymers')
df_vd_poly.drop_duplicates(keep='first', inplace=True, ignore_index=True) # drop exact duplicates
df_props = pd.read_excel('data/db-polymer-properties-and-categories.xlsx')
df_vd_poly = pd.merge(df_vd_poly, df_props[['Polymer_Name','Polymer_Tg','Polymer_Tm', 'CHRIS Class', 'New Class']], how='left', on='Polymer_Name')
df_vd_poly['New Class'] = df_vd_poly['New Class'].fillna('none')
df_vd_poly['CHRIS Class'] = df_vd_poly['CHRIS Class'].fillna('none')
## Calculate c
dfs_vd_allT = []
for T in np.arange(100,800,20):
fV_polyT = (df_vd_poly['K12']*(df_vd_poly['K22-Tg2']+T))
#fV_polyT[fV_polyT<0.025] = 0.025
for solvname in set(df_vd_solv['Solute_Name']):
df_sol = df_vd_solv[df_vd_solv['Solute_Name']==solvname]
for row in df_sol.iterrows():
row = row[1]
fV_sol = (row['K11']*(row['K21-Tg1']+T))
c_sol = fV_sol / fV_polyT
df_vd_allT = pd.concat([row]*len(df_vd_poly), axis=1, ignore_index=True).T
df_vd_allT = pd.concat([df_vd_allT, df_vd_poly], axis=1)
df_vd_allT['c'] = c_sol
df_vd_allT['T'] = T
dfs_vd_allT.append(df_vd_allT)
df_vd_allT = pd.concat(dfs_vd_allT, ignore_index=True)
df_vd_allT['T-Tg'] = df_vd_allT['T']-df_vd_allT['Tg2']
df_vd_allT['T-Tg1'] = df_vd_allT['T']-df_vd_allT['Tg1']
def get_c_dist(T,Tg,MW):
m = (~pd.isna(df_vd_allT['c'])) & (np.abs(df_vd_allT['T-Tg']-max(T_cut,T-Tg))<T_cut) & (np.abs(df_vd_allT['M1']-MW)<MW_cut)
cs = df_vd_allT.loc[m, 'c']
cs = np.array(cs)
cs = cs[~np.isnan(cs)]
cs = cs[cs>0]
return cs
def get_c_dist_cat(T,CHRIS_category,MW):
m = (~pd.isna(df_vd_allT['c'])) & (df_vd_allT['T-Tg']>0) & (np.abs(df_vd_allT['T']-T)<T_cut) & (np.abs(df_vd_allT['M1']-MW)<MW_cut) & (df_vd_allT['New Class']==CHRIS_category)
cs = df_vd_allT.loc[m, 'c']
cs = np.array(cs)
cs = cs[~np.isnan(cs)]
cs = cs[cs>0]
return cs
def get_D_Extract(w,T,Polymer_Tg,Solvent_Name,Solvent_MW,Solute_MW,Solute_Vabc,CHRIS_category,N=10000,return_DCs=False,input_Ds=None):
df_final_T = df_final.loc[np.abs(df_final['T']-T)<T_cut_new]
if (T <= Polymer_Tg) or (input_Ds is not None):
cs = get_c_dist(T,Polymer_Tg,Solvent_MW)
else:
cs = get_c_dist_cat(T,CHRIS_category,Solvent_MW)
if not len(cs):
cs = get_c_dist(T,Polymer_Tg,Solvent_MW)
rng = np.random.Generator(np.random.PCG64(seed=12345))
c = rng.choice(cs, N)
if Solute_Vabc is None:
if Solute_MW < 50:
m50 = df_final_T['MW']<=50
else:
m50 = df_final_T['MW']>50
## within cutoffs, with at least N closest (by sorting, separating at MW = 50)
m2 = (np.abs(df_final_T['Polymer_Tg']-Polymer_Tg)<T_cut) & (np.abs(df_final_T['MW']-Solute_MW)<MW_cut) & m50
if m2.sum()<25:
vT = df_final_T.loc[m50,'Polymer_Tg']-Polymer_Tg; vM = df_final_T.loc[m50,'MW']-Solute_MW; m3 = pd.concat([np.abs(vT), np.abs(vM)], axis=1).sort_values(by=['Polymer_Tg', 'MW']).index[1:26]
m2 = list(set(m2.index[m2]).union(set(m3)))
if return_DCs:
Ds,DWCs,DCs = rng.choice([df_final_T.loc[m2,'D'], df_final_T.loc[m2,f'D_WC_{Solvent_Name}'], df_final_T.loc[m2,f'D_CHRIS_q50']], N, axis=1)
else:
Ds,DWCs = rng.choice([df_final_T.loc[m2,'D'], df_final_T.loc[m2,f'D_WC_{Solvent_Name}']], N, axis=1)
else:
DWCs, eta, MW_solvent = get_WC(T, Solvent_Name, Solute_Vabc)
## distribution of D_CHRIS
if input_Ds is None:
if Solute_MW > 50:
subkey = f'{CHRIS_category}_hi'
else:
subkey = f'{CHRIS_category}_lo'
allparams = [param_dists[Ti][subkey] for Ti in param_dists if T+T_cut_new >= int(Ti)+273.15 >= T-T_cut_new]
D_list = []
for params in allparams:
if params[0] == 'pir':
A_list = params[1:]
D_list += [Piringer(Solute_MW, Ai, T) for Ai in A_list]
else:
Ball = params[1]
A_list = params[2:]
D_list += [PowerLaw(Solute_MW, Ai, Ball) for Ai in A_list]
else:
D_list = input_Ds
D_dist_noswell = rng.choice(D_list, N)
if Solute_Vabc is None:
lnD_D0 = c*w/(1+(c-1)*w) * np.log(DWCs/Ds)
else:
lnD_D0 = c*w/(1+(c-1)*w) * np.log(DWCs/D_dist_noswell)
D_dist_swell = np.exp(np.log(D_dist_noswell)+lnD_D0)
if return_DCs:
return D_dist_noswell, D_dist_swell, (c, Ds, DWCs, DCs)
else:
return D_dist_swell
def get_D_CHRIS(Solute_MW,CHRIS_category,N=10000):
T = 310.15
rng = np.random.Generator(np.random.PCG64(seed=12345))
if Solute_MW > 50:
subkey = f'{CHRIS_category}_hi'
else:
subkey = f'{CHRIS_category}_lo'
allparams = [param_dists[Ti][subkey] for Ti in param_dists if T+T_cut_new >= int(Ti)+273.15 >= T-T_cut_new]
D_list = []
for params in allparams:
if params[0] == 'pir':
A_list = params[1:]
D_list += [Piringer(Solute_MW, Ai, T) for Ai in A_list]
else:
Ball = params[1]
A_list = params[2:]
D_list += [PowerLaw(Solute_MW, Ai, Ball) for Ai in A_list]
return rng.choice(D_list, N)
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