- Author:
- Shelley Fong <s.fong@auckland.ac.nz>
- Date:
- 2022-03-07 16:38:39+13:00
- Desc:
- Changing to 1.1, with units import
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/824/rawfile/1620708405988982a75b547ffff5168cc62a4b2f/parameter_finder/kinetic_parameters_K1.py
# fast Na module
# Return kinetic parameters, constraints, and vector of volumes in each
# compartment (pL) (1 if gating variable, or in element corresponding to
# kappa)
# Translated from Pan 2018 cardiac AP
import numpy as np
def kinetic_parameters(M, include_type2_reactions, dims, V):
# Set the kinetic rate constants
num_cols = dims['num_cols']
num_rows = dims['num_rows']
# load gate transition parameters
params_K1 = [1.1273394822768654, 0.03356898582323646, 13544.806358561376, 3.115336723982081]
alpha_K1_bg = params_K1[0] * 1e3 #unit s ^ -1
beta_K1_bg = params_K1[2] * 1e3 # unit s ^ -1
# constants are stored in V
F = V['F']
R = V['R']
T = V['T']
N_A = V['N_A']
cKo = V['cKo']
G_GHK = 1.080633321037148E-7 # Unit mA/mM
P_K1 = G_GHK/F * 1e12 # Unit pL/s . G_GHK [=] Amp/(mol/s)
x_K1_channel = 4261 / N_A * 1e15 # unit fmol
# Calculate bond graph constants from kinetic parameters
# Note: units of kappa are fmol/s, units of K are fmol^-1
kf_K1 = [P_K1/x_K1_channel/np.sqrt(cKo),
alpha_K1_bg]
kr_K1 = [P_K1/x_K1_channel/np.sqrt(cKo),
beta_K1_bg]
k_kinetic = kf_K1 + kr_K1
# 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'], V['V_o']] + [1] * (num_rows-2)
return (k_kinetic, N_cT, K_C, W)