- Author:
- Shelley Fong <s.fong@auckland.ac.nz>
- Date:
- 2021-09-02 17:20:51+12:00
- Desc:
- Fixing ODEs; finding BG parameters
- Permanent Source URI:
- https://models.cellml.org/workspace/6f9/rawfile/cd4228e81ba63d67888a7188ca4821998cb4510c/MATLAB/kinetic_parameters.m
% Gi protein module following Saucerman and Iancu: act1 and act2 with LR
% and LRG as substrates (G is already bound, so there is only one substrate
% to each act reaction)
% Gi is associated with muscarinic 2 (M2) receptors in cardiac myocytes
% Return kinetic parameters, constraints, and vector of volumes in each
% compartment (pL) (1 if gating variable, or in element corresponding to
% kappa)
function [k_kinetic, N_cT, K_C, W] = kinetic_parameters(M, include_type2_reactions, dims, V)
% Set the kinetic rate constants.
% original model had reactions that omitted enzymes as substrates e.g. BARK
% convert unit from 1/s to 1/uM.s by dividing by conc of enzyme
% all reactions were irreversible, made reversible by letting kr ~= 0
num_cols = dims.num_cols;
num_rows = dims.num_rows;
bigNum = 1e3;
fastKineticConstant = bigNum;
smallReverse = fastKineticConstant/(bigNum^2);
kAct1p = 2.5; % 1/s
kAct1m = smallReverse; % 1/s
kAct2p = 0.05; % 1/s
kAct2m = smallReverse; % 1/s
kHydp = 0.8; % 1/s
kHydm = smallReverse; % 1/s
kReassocp = 1.21e3; % 1/uM.s
kReassocm = kReassocp/bigNum; % 1/s
% No closed loop, so no detailed balance
k_kinetic = [
kAct1p, kAct2p, kHydp, kReassocp...
kAct1m, kAct2m, kHydm, kReassocm
]';
% CONSTRAINTS
N_cT = zeros(1,size(M,2));
% LR.G = aGTP.betaGamma
if false
N_cT(2,num_cols + 3) = 1;
N_cT(2,num_cols + 4) = 1;
N_cT(2,num_cols + 5) = -1;
N_cT(2,num_cols + 6) = -1;
end
% [a-GTP] + [a-GDP] = [beta.gamma] **SMALL_ERROR**
if true
N_cT(1,num_cols + 7) = 1; % beta_gamma
N_cT(1,num_cols + 6) = -1; % a_GTP
N_cT(1,num_cols + 8) = -1; % a_GDP
end
K_C = [1];
% volume vector
W = [ones(num_cols,1); V.V_myo*ones(num_rows,1)];
return
