- Author:
- Shelley Fong <s.fong@auckland.ac.nz>
- Date:
- 2022-05-09 13:10:51+12:00
- Desc:
- Init. Starting molar amounts of species are not correct
- Permanent Source URI:
- http://models.cellml.org/workspace/856/rawfile/1e170cf088f7497ee4afff71fd184b87d006900b/parameter_finder/kinetic_parameters_cGMP.py
# cGMP module, translated from Yang et al 2005
# Return kinetic parameters, constraints, and vector of volumes in each
# compartment (pL) (1 if gating variable, or in element corresponding to
# kappa)
# Based on Pan 2018 cardiac AP
import numpy as np
def kinetic_parameters(M, include_type2_reactions, dims, V):
num_cols = dims['num_cols']
num_rows = dims['num_rows']
fkc = 1e6
smr = 1e-3
# both reactions (1: E5c, 2: PDE) are MM
Km_PDE = 2 # [=] mM
Vmax_E5c = 0.8520 # [=] 1/s
E0_E5c = 0.05 # [=] mM #GUESS
kcat = [Vmax_E5c/E0_E5c, 0.0195]
k1ap = fkc
k1am = fkc # smr
k1bp = kcat[0]
k1bm = smr
k2ap = fkc
k2am = k2ap*Km_PDE - kcat[1]
k2bp = kcat[1]
k2bm = smr
# Calculate bond graph constants from kinetic parameters
# Note: units of kappa are fmol/s, units of K are fmol^-1
kf = [k1ap, # R_E5c [=]
k1bp, # R_E5c [=]
k2ap, # R_PDE [=]
k2bp, # R_PDE [=]
]
kr = [
k1am,
k1bm,
k2am,
k2bm,
]
k_kinetic = kf + kr
# CONSTRAINTS
N_cT = []
K_C = []
# volume vector
# W = list(np.append([1] * num_cols, [V['V_myo']] * num_rows))
W = [1] * num_cols + [V['V_myo']]*num_rows
return (k_kinetic, N_cT, K_C, W)