# 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'] # constants are stored in V F = V['F'] R = V['R'] T = V['T'] N_A = V['N_A'] cKo = V['cKo'] G_GHK = 2.406602454217436e-15 # Unit mA/mM P_KATP = G_GHK/F * 1e12 # Unit pL/s . G_GHK [=] Amp/(mol/s) x_KATP_channel = 3700e5 / N_A * 1e15 # unit fmol x_KATP_channel = V['numChannels']/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_KATP = [P_KATP/x_KATP_channel] kr_KATP = [P_KATP/x_KATP_channel] k_kinetic = kf_KATP + kr_KATP # 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']] return (k_kinetic, N_cT, K_C, W)