- Author:
- WeiweiAi <wai484@aucklanduni.ac.nz>
- Date:
- 2022-02-14 15:36:25+13:00
- Desc:
- correct leakage equations; adjust the cost function of gate fiitting process
- Permanent Source URI:
- https://models.cellml.org/workspace/64f/rawfile/a617f7cad6bf75496162c76e248d9e1644be7535/sed-ml/scripts_BG/BG_paras_K.m
clear;
%% Define volumes (unit pL)
W_i = 4.24e6;
W_e = 6.06e5;
opts = detectImportOptions('K_forward_matrix.xlsx');
opts.SelectedVariableNames = [2:6];
opts.DataRange = '2:8';
N_f = readmatrix('K_forward_matrix.xlsx',opts);
opts.SelectedVariableNames = 'species';
opts.DataRange = '2:8';
Kname=readmatrix('K_forward_matrix.xlsx',opts);
opts.SelectedVariableNames = [2:6];
kappa_name=opts.SelectedVariableNames';
opts = detectImportOptions('Na_reverse_matrix.xlsx');
opts.SelectedVariableNames = [2:6];
opts.DataRange = '2:8';
N_r = readmatrix('K_reverse_matrix.xlsx',opts);
N_fT = transpose(N_f);
N_rT = transpose(N_r);
N = N_r - N_f;
N_T = N_rT - N_fT;
num_cols = size(N,2);
I = eye(num_cols);
zerofill = zeros(1,num_cols);
N_c=[1; -1; 0;0;0;0;0;];
K_c=[W_e/W_i;];
N_c_T=transpose(N_c);
M = [I N_fT; I N_rT;zerofill N_c_T;];
%% Import gate transition parameters
% K channel
load(['K_GHK_paras.mat']);
load(['K_n_parameters.mat']);
alpha_n0_bg = params_vec(1)*1e3; % unit s^-1
beta_n0_bg = params_vec(3)*1e3; % unit s^-1
z_n_f = params_vec(2);
z_n_r = params_vec(4);
kf = [kf_GHK; ... % R_GHK
4*alpha_n0_bg; ... % Rn1
3*alpha_n0_bg; ... % Rn2
2*alpha_n0_bg; ... % Rn3
1*alpha_n0_bg; ... % Rn4
];
kr = [kr_GHK; ... % R_GHK
1*beta_n0_bg; ... % Rn1
2*beta_n0_bg; ... % Rn2
3*beta_n0_bg; ... % Rn3
4*beta_n0_bg; ... % Rn4
];
k = [kf;kr;K_c];
W = [ones(size(N,2),1);W_i;W_e;ones(5,1);];
lambdaW = exp(pinv(M)*log(k));
lambda = lambdaW./W;
kappa = lambda(1:size(N,2));
K = lambda(size(N,2)+1:end);
save(['BG_paras_K.mat'],'kappa','K','Kname','kappa_name'); %
fileID = fopen('BG_paras_K_CellML.txt','w');
var_kappa=num2cell(kappa);
data_kappa=[kappa_name,var_kappa]';
var_K=num2cell(K);
data_K=[Kname,var_K]';
fprintf(fileID,'var K_%s: per_fmol {init: %g, pub: out};\n',data_K{:});
fprintf(fileID,'var kappa_%s: fmol_per_sec {init: %g, pub: out};\n',data_kappa{:});
fprintf(fileID,'var z_n_f: dimensionless {init: %g, pub: out};\n',z_n_f);
fprintf(fileID,'var z_n_r: dimensionless {init: %g, pub: out};\n',z_n_r);
fprintf(fileID,'var z_K: dimensionless {init: %g, pub: out};\n',1);
fclose(fileID);
%% Checks
N_rref = rref(N);
R_mat = null(N,'r');
K_eq = kf./kr;
zero_est = R_mat'*K_eq;
k_est = exp(M*log(lambdaW));
diff = sum(abs((k-k_est)./k));