- Author:
- Shelley Fong <sfon036@UoA.auckland.ac.nz>
- Date:
- 2022-07-13 16:00:34+12:00
- Desc:
- Moving channel states into main environment from individual submodule components
- Permanent Source URI:
- https://models.cellml.org/workspace/885/rawfile/cc50e57955e59c98e8a98a55eb222cdef43c75ff/FCU_cardiac_pH.m
tic;
[VOI, STATES, ALGEBRAIC, CONSTANTS] = mainFunction();
toc;
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = mainFunction()
% This is the "main function". In Matlab, things work best if you rename this function to match the filename.
[VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel();
end
function [algebraicVariableCount] = getAlgebraicVariableCount()
% Used later when setting a global variable with the number of algebraic variables.
% Note: This is not the "main method".
algebraicVariableCount =92;
end
% There are a total of 39 entries in each of the rate and state variable arrays.
% There are a total of 71 entries in the constant variable array.
%
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
[LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends();
% Create ALGEBRAIC of correct size
global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount();
% Initialise constants and state variables
[INIT_STATES, CONSTANTS] = initConsts;
% Set timespan to solve over
tspan = [0, 1];
% Set numerical accuracy options for ODE solver
options = odeset('RelTol', 1e-05, 'AbsTol', 1e-35, 'MaxStep', 1e-5);
% Solve model with ODE solver
[VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options);
% Compute algebraic variables
[RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS);
ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI);
vlabels = {'pH_i in component environment (dimensionless)',...
'pH_o in component environment (dimensionless)',...
'q_Cl_i in component environment (fmol)',...
'q_Na_i in component environment (fmol)',...
'q_HCO3_i in component environment (fmol)',...
'q_HB1 in component environment (fmol)' };
[~, i_st, i_alg] = find_indices(vlabels, cellstr(LEGEND_CONSTANTS), cellstr(LEGEND_STATES), cellstr(LEGEND_ALGEBRAIC));
if i_st
vol_myo = 38; % pL
plot_selected(i_st,VOI,STATES/vol_myo,'s',LEGEND_STATES,'concentrations mM',ceil(sqrt(length(i_st))))
end
plot_selected(i_alg,VOI,ALGEBRAIC,'s',LEGEND_ALGEBRAIC,'ALGEBRAIC',ceil(sqrt(length(i_alg))))
% fluxes
vlabels = {
'v_R12_AE in component AE (fmol_per_sec)',...
'v_R45_AE in component AE (fmol_per_sec)',...
'v_R12_CHE in component CHE (fmol_per_sec)',...
'v_R45_CHE in component CHE (fmol_per_sec)',...
'v_Re_CO2hyd in component CO2_hyd (fmol_per_sec)',...
'v_R12_NBC in component NBC (fmol_per_sec)',...
'v_R45_NBC in component NBC (fmol_per_sec)',...
'v_R12_NHE in component NHE (fmol_per_sec)',...
'v_R45_NHE in component NHE (fmol_per_sec)',...
'v_Re_B1 in component pH_B1 (fmol_per_sec)',...
'v_Re_B2 in component pH_B2 (fmol_per_sec)' };
[~, ~, i_alg] = find_indices(vlabels, cellstr(LEGEND_CONSTANTS), cellstr(LEGEND_STATES), cellstr(LEGEND_ALGEBRAIC));
if true
plot_selected(i_alg,VOI,ALGEBRAIC,'s',LEGEND_ALGEBRAIC,'FLUXES',ceil(sqrt(length(i_alg))))
end
% check conservation of species
if true
Hlabels = {'q_HCO3_i in component environment (fmol)',...
'q_HCO3_o in component environment (fmol)',...
'q_H_i in component environment (fmol)',...
'q_H_o in component environment (fmol)',...
'q_HB1 in component environment (fmol)',...
'q_HB2 in component environment (fmol)',...
'q_S3_NBC in component NBC (fmol)',...
'q_S4_NBC in component NBC (fmol)',...
'q_S1_AE in component AE (fmol)',...
'q_S6_AE in component AE (fmol)',...
'q_S1_NHE in component NHE (fmol)',...
'q_S6_NHE in component NHE (fmol)'
};
% Hlabels = {'q_H_i in component environment (fmol)',...
% 'q_H_o in component environment (fmol)',...
% 'q_HB1 in component environment (fmol)',...
% 'q_HB2 in component environment (fmol)',...
% 'q_S1_NHE in component NHE (fmol)',...
% 'q_S6_NHE in component NHE (fmol)'
% };
[~, i_hst, ] = find_indices(Hlabels, cellstr(LEGEND_CONSTANTS), cellstr(LEGEND_STATES), cellstr(LEGEND_ALGEBRAIC));
sumH = zeros(length(VOI),1);
for i = 1:length(i_hst)
sumH = sumH + STATES(:,i_hst(i));
end
istart = 1;
% istart = find(VOI > 0.0015, 1);
figure,
subplot(2,2,1)
plot(VOI(istart:end),sumH(istart:end));
title('sumH');
% Na
Nalabels = {'q_Na_i in component environment (fmol)',...
'q_Na_o in component environment (fmol)',...
'q_S2_NBC in component NBC (fmol)',...
'q_S3_NBC in component NBC (fmol)',...
'q_S4_NBC in component NBC (fmol)',...
'q_S5_NBC in component NBC (fmol)',...
'q_S3_NHE in component NHE (fmol)',...
'q_S4_NHE in component NHE (fmol)'
};
[~, i_hst, ] = find_indices(Nalabels, cellstr(LEGEND_CONSTANTS), cellstr(LEGEND_STATES), cellstr(LEGEND_ALGEBRAIC));
sumH = zeros(length(VOI),1);
for i = 1:length(i_hst)
sumH = sumH + STATES(:,i_hst(i));
end
istart = 1;
% istart = find(VOI > 0.0015, 1);
subplot(2,2,2)
plot(VOI(istart:end),sumH(istart:end));
title('sumNa');
% Cl
Cllabels = {'q_Cl_i in component environment (fmol)',...
'q_Cl_o in component environment (fmol)',...
'q_S3_AE in component AE (fmol)',...
'q_S4_AE in component AE (fmol)',...
'q_S3_CHE in component CHE (fmol)',...
'q_S4_CHE in component CHE (fmol)'
};
[~, i_hst, ] = find_indices(Cllabels, cellstr(LEGEND_CONSTANTS), cellstr(LEGEND_STATES), cellstr(LEGEND_ALGEBRAIC));
sumH = zeros(length(VOI),1);
for i = 1:length(i_hst)
sumH = sumH + STATES(:,i_hst(i));
end
istart = 1;
% istart = find(VOI > 0.0015, 1);
subplot(2,2,3)
plot(VOI(istart:end),sumH(istart:end));
title('sumCl');
end
end
function [i_con, i_st, i_alg] = find_indices(labels, LEGEND_CONSTANTS, LEGEND_STATES, LEGEND_ALGEBRAIC)
% return the indices for the selected labels
all_legends = [LEGEND_CONSTANTS; LEGEND_STATES; LEGEND_ALGEBRAIC];
i_con = [];
for i = 1:length(labels)
i_con = [i_con; find(strcmp(labels{i},LEGEND_CONSTANTS))];
end
i_st = [];
for i = 1:length(labels)
i_st = [i_st; find(strcmp(labels{i},LEGEND_STATES))];
end
i_alg = [];
for i = 1:length(labels)
i_alg = [i_alg; find(strcmp(labels{i},LEGEND_ALGEBRAIC))];
end
if length(i_con) + length(i_st) + length(i_alg) < length(labels)
error('missing index');
end
end
function [] = plot_selected(ids,x,y,legend_x,legend_y,titlestr,ns)
istart = 1;
% istart = find(x > 0.0015, 1);
figure();
% plot stimuli
for i = 1:length(ids)
subplot(ns,ns,i)
plotting_x = x(istart:end);
plotting_y = y(istart:end,ids(i));
if isempty(plotting_y) % probably a constant scalar
plotting_y = repmat(y(ids(i)),2);
plotting_x = [x(istart), x(end)];
end
plot(plotting_x, plotting_y);
xlabel('time (s)');
str = split(legend_y(ids(i),:), ' ');
str = legend_y(ids(i),:);
l = legend(str);
set(l,'interpreter','none');
end
if verLessThan('matlab','9.5')
suptitle(titlestr)
else
sgtitle(titlestr)
end
end
function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
LEGEND_CONSTANTS(:,1) = strpad('kappa_R61_AE in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,2) = strpad('kappa_R12_AE in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,3) = strpad('kappa_R23_AE in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,4) = strpad('kappa_R34_AE in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,5) = strpad('kappa_R45_AE in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,6) = strpad('kappa_R56_AE in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,7) = strpad('kappa_R61_CHE in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,8) = strpad('kappa_R12_CHE in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,9) = strpad('kappa_R23_CHE in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,10) = strpad('kappa_R34_CHE in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,11) = strpad('kappa_R45_CHE in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,12) = strpad('kappa_R56_CHE in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,13) = strpad('kappa_Re_CO2hyd in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,14) = strpad('kappa_R61_NBC in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,15) = strpad('kappa_R12_NBC in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,16) = strpad('kappa_R23_NBC in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,17) = strpad('kappa_R34_NBC in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,18) = strpad('kappa_R45_NBC in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,19) = strpad('kappa_R56_NBC in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,20) = strpad('kappa_R61_NHE in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,21) = strpad('kappa_R12_NHE in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,22) = strpad('kappa_R23_NHE in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,23) = strpad('kappa_R34_NHE in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,24) = strpad('kappa_R45_NHE in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,25) = strpad('kappa_R56_NHE in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,26) = strpad('kappa_Re_B1 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,27) = strpad('kappa_Re_B2 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,28) = strpad('K_HCO3_i in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,29) = strpad('K_HCO3_o in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,30) = strpad('K_Cl_i in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,31) = strpad('K_Cl_o in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,32) = strpad('K_S1_AE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,33) = strpad('K_S2_AE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,34) = strpad('K_S3_AE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,35) = strpad('K_S4_AE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,36) = strpad('K_S5_AE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,37) = strpad('K_S6_AE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,38) = strpad('K_OH_i in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,39) = strpad('K_OH_o in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,40) = strpad('K_S1_CHE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,41) = strpad('K_S2_CHE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,42) = strpad('K_S3_CHE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,43) = strpad('K_S4_CHE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,44) = strpad('K_S5_CHE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,45) = strpad('K_S6_CHE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,46) = strpad('K_CO2_i in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,47) = strpad('K_H_i in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,48) = strpad('K_Na_i in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,49) = strpad('K_Na_o in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,50) = strpad('K_S1_NBC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,51) = strpad('K_S2_NBC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,52) = strpad('K_S3_NBC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,53) = strpad('K_S4_NBC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,54) = strpad('K_S5_NBC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,55) = strpad('K_S6_NBC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,56) = strpad('K_H_o in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,57) = strpad('K_S1_NHE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,58) = strpad('K_S2_NHE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,59) = strpad('K_S3_NHE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,60) = strpad('K_S4_NHE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,61) = strpad('K_S5_NHE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,62) = strpad('K_S6_NHE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,63) = strpad('K_B1 in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,64) = strpad('K_HB1 in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,65) = strpad('K_B2 in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,66) = strpad('K_HB2 in component BG_parameters (per_fmol)');
LEGEND_VOI = strpad('time in component environment (second)');
LEGEND_STATES(:,1) = strpad('q_HCO3_i in component environment (fmol)');
LEGEND_STATES(:,2) = strpad('q_HCO3_o in component environment (fmol)');
LEGEND_STATES(:,3) = strpad('q_Cl_i in component environment (fmol)');
LEGEND_STATES(:,4) = strpad('q_Cl_o in component environment (fmol)');
LEGEND_STATES(:,5) = strpad('q_OH_i in component environment (fmol)');
LEGEND_STATES(:,6) = strpad('q_OH_o in component environment (fmol)');
LEGEND_STATES(:,7) = strpad('q_Na_i in component environment (fmol)');
LEGEND_STATES(:,8) = strpad('q_Na_o in component environment (fmol)');
LEGEND_STATES(:,9) = strpad('q_H_i in component environment (fmol)');
LEGEND_STATES(:,10) = strpad('q_H_o in component environment (fmol)');
LEGEND_STATES(:,11) = strpad('q_B1 in component environment (fmol)');
LEGEND_STATES(:,12) = strpad('q_HB1 in component environment (fmol)');
LEGEND_STATES(:,13) = strpad('q_B2 in component environment (fmol)');
LEGEND_STATES(:,14) = strpad('q_HB2 in component environment (fmol)');
LEGEND_STATES(:,15) = strpad('q_CO2_i in component environment (fmol)');
LEGEND_ALGEBRAIC(:,27) = strpad('v_R61_AE in component AE (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,28) = strpad('v_R12_AE in component AE (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,29) = strpad('v_R23_AE in component AE (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,30) = strpad('v_R34_AE in component AE (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,31) = strpad('v_R45_AE in component AE (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,33) = strpad('v_R56_AE in component AE (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,52) = strpad('v_R61_CHE in component CHE (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,54) = strpad('v_R12_CHE in component CHE (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,56) = strpad('v_R23_CHE in component CHE (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,58) = strpad('v_R34_CHE in component CHE (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,60) = strpad('v_R45_CHE in component CHE (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,62) = strpad('v_R56_CHE in component CHE (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,41) = strpad('v_Re_CO2hyd in component CO2_hyd (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,63) = strpad('v_R61_NBC in component NBC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,64) = strpad('v_R12_NBC in component NBC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,65) = strpad('v_R23_NBC in component NBC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,66) = strpad('v_R34_NBC in component NBC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,67) = strpad('v_R45_NBC in component NBC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,68) = strpad('v_R56_NBC in component NBC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,79) = strpad('v_R61_NHE in component NHE (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,80) = strpad('v_R12_NHE in component NHE (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,81) = strpad('v_R23_NHE in component NHE (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,82) = strpad('v_R34_NHE in component NHE (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,83) = strpad('v_R45_NHE in component NHE (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,84) = strpad('v_R56_NHE in component NHE (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,88) = strpad('v_Re_B1 in component pH_B1 (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,92) = strpad('v_Re_B2 in component pH_B2 (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,16) = strpad('pH_i in component environment (dimensionless)');
LEGEND_ALGEBRAIC(:,17) = strpad('pH_o in component environment (dimensionless)');
LEGEND_ALGEBRAIC(:,1) = strpad('cH_i in component environment (mM)');
LEGEND_ALGEBRAIC(:,2) = strpad('cH_o in component environment (mM)');
LEGEND_CONSTANTS(:,67) = strpad('w_i in component environment (pL)');
LEGEND_CONSTANTS(:,68) = strpad('w_o in component environment (pL)');
LEGEND_CONSTANTS(:,69) = strpad('R in component constants (J_per_K_per_mol)');
LEGEND_CONSTANTS(:,70) = strpad('T in component constants (kelvin)');
LEGEND_CONSTANTS(:,71) = strpad('F in component constants (C_per_mol)');
LEGEND_STATES(:,16) = strpad('q_S1_AE in component AE (fmol)');
LEGEND_STATES(:,17) = strpad('q_S2_AE in component AE (fmol)');
LEGEND_STATES(:,18) = strpad('q_S3_AE in component AE (fmol)');
LEGEND_STATES(:,19) = strpad('q_S4_AE in component AE (fmol)');
LEGEND_STATES(:,20) = strpad('q_S5_AE in component AE (fmol)');
LEGEND_STATES(:,21) = strpad('q_S6_AE in component AE (fmol)');
LEGEND_ALGEBRAIC(:,3) = strpad('mu_HCO3_i in component AE (J_per_mol)');
LEGEND_ALGEBRAIC(:,18) = strpad('mu_HCO3_o in component AE (J_per_mol)');
LEGEND_ALGEBRAIC(:,19) = strpad('mu_Cl_i in component AE (J_per_mol)');
LEGEND_ALGEBRAIC(:,20) = strpad('mu_Cl_o in component AE (J_per_mol)');
LEGEND_ALGEBRAIC(:,21) = strpad('mu_S1_AE in component AE (J_per_mol)');
LEGEND_ALGEBRAIC(:,22) = strpad('mu_S2_AE in component AE (J_per_mol)');
LEGEND_ALGEBRAIC(:,23) = strpad('mu_S3_AE in component AE (J_per_mol)');
LEGEND_ALGEBRAIC(:,24) = strpad('mu_S4_AE in component AE (J_per_mol)');
LEGEND_ALGEBRAIC(:,25) = strpad('mu_S5_AE in component AE (J_per_mol)');
LEGEND_ALGEBRAIC(:,26) = strpad('mu_S6_AE in component AE (J_per_mol)');
LEGEND_ALGEBRAIC(:,4) = strpad('B_tot in component AE (fmol)');
LEGEND_ALGEBRAIC(:,5) = strpad('S_tot in component AE (fmol)');
LEGEND_ALGEBRAIC(:,6) = strpad('S1S6_tot in component AE (fmol)');
LEGEND_ALGEBRAIC(:,7) = strpad('Cl_tot in component AE (fmol)');
LEGEND_STATES(:,22) = strpad('q_S1_CHE in component CHE (fmol)');
LEGEND_STATES(:,23) = strpad('q_S2_CHE in component CHE (fmol)');
LEGEND_STATES(:,24) = strpad('q_S3_CHE in component CHE (fmol)');
LEGEND_STATES(:,25) = strpad('q_S4_CHE in component CHE (fmol)');
LEGEND_STATES(:,26) = strpad('q_S5_CHE in component CHE (fmol)');
LEGEND_STATES(:,27) = strpad('q_S6_CHE in component CHE (fmol)');
LEGEND_ALGEBRAIC(:,32) = strpad('mu_OH_i in component CHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,34) = strpad('mu_OH_o in component CHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,36) = strpad('mu_Cl_i in component CHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,38) = strpad('mu_Cl_o in component CHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,40) = strpad('mu_S1_CHE in component CHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,42) = strpad('mu_S2_CHE in component CHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,44) = strpad('mu_S3_CHE in component CHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,46) = strpad('mu_S4_CHE in component CHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,48) = strpad('mu_S5_CHE in component CHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,50) = strpad('mu_S6_CHE in component CHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,35) = strpad('mu_CO2_i in component CO2_hyd (J_per_mol)');
LEGEND_ALGEBRAIC(:,37) = strpad('mu_HCO3_i in component CO2_hyd (J_per_mol)');
LEGEND_ALGEBRAIC(:,39) = strpad('mu_H_i in component CO2_hyd (J_per_mol)');
LEGEND_STATES(:,28) = strpad('q_S1_NBC in component NBC (fmol)');
LEGEND_STATES(:,29) = strpad('q_S2_NBC in component NBC (fmol)');
LEGEND_STATES(:,30) = strpad('q_S3_NBC in component NBC (fmol)');
LEGEND_STATES(:,31) = strpad('q_S4_NBC in component NBC (fmol)');
LEGEND_STATES(:,32) = strpad('q_S5_NBC in component NBC (fmol)');
LEGEND_STATES(:,33) = strpad('q_S6_NBC in component NBC (fmol)');
LEGEND_ALGEBRAIC(:,43) = strpad('mu_Na_i in component NBC (J_per_mol)');
LEGEND_ALGEBRAIC(:,45) = strpad('mu_Na_o in component NBC (J_per_mol)');
LEGEND_ALGEBRAIC(:,47) = strpad('mu_HCO3_i in component NBC (J_per_mol)');
LEGEND_ALGEBRAIC(:,49) = strpad('mu_HCO3_o in component NBC (J_per_mol)');
LEGEND_ALGEBRAIC(:,51) = strpad('mu_S1_NBC in component NBC (J_per_mol)');
LEGEND_ALGEBRAIC(:,53) = strpad('mu_S2_NBC in component NBC (J_per_mol)');
LEGEND_ALGEBRAIC(:,55) = strpad('mu_S3_NBC in component NBC (J_per_mol)');
LEGEND_ALGEBRAIC(:,57) = strpad('mu_S4_NBC in component NBC (J_per_mol)');
LEGEND_ALGEBRAIC(:,59) = strpad('mu_S5_NBC in component NBC (J_per_mol)');
LEGEND_ALGEBRAIC(:,61) = strpad('mu_S6_NBC in component NBC (J_per_mol)');
LEGEND_ALGEBRAIC(:,8) = strpad('B_tot in component NBC (fmol)');
LEGEND_ALGEBRAIC(:,9) = strpad('S_tot in component NBC (fmol)');
LEGEND_ALGEBRAIC(:,10) = strpad('Na_tot in component NBC (fmol)');
LEGEND_STATES(:,34) = strpad('q_S1_NHE in component NHE (fmol)');
LEGEND_STATES(:,35) = strpad('q_S2_NHE in component NHE (fmol)');
LEGEND_STATES(:,36) = strpad('q_S3_NHE in component NHE (fmol)');
LEGEND_STATES(:,37) = strpad('q_S4_NHE in component NHE (fmol)');
LEGEND_STATES(:,38) = strpad('q_S5_NHE in component NHE (fmol)');
LEGEND_STATES(:,39) = strpad('q_S6_NHE in component NHE (fmol)');
LEGEND_ALGEBRAIC(:,69) = strpad('mu_H_i in component NHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,70) = strpad('mu_H_o in component NHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,71) = strpad('mu_Na_i in component NHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,72) = strpad('mu_Na_o in component NHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,73) = strpad('mu_S1_NHE in component NHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,74) = strpad('mu_S2_NHE in component NHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,75) = strpad('mu_S3_NHE in component NHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,76) = strpad('mu_S4_NHE in component NHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,77) = strpad('mu_S5_NHE in component NHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,78) = strpad('mu_S6_NHE in component NHE (J_per_mol)');
LEGEND_ALGEBRAIC(:,11) = strpad('H_tot in component NHE (fmol)');
LEGEND_ALGEBRAIC(:,12) = strpad('H_only in component NHE (fmol)');
LEGEND_ALGEBRAIC(:,13) = strpad('Na_tot in component NHE (fmol)');
LEGEND_ALGEBRAIC(:,14) = strpad('S_tot in component NHE (fmol)');
LEGEND_ALGEBRAIC(:,15) = strpad('S1S6_tot in component NHE (fmol)');
LEGEND_ALGEBRAIC(:,85) = strpad('mu_H_i in component pH_B1 (J_per_mol)');
LEGEND_ALGEBRAIC(:,86) = strpad('mu_B1 in component pH_B1 (J_per_mol)');
LEGEND_ALGEBRAIC(:,87) = strpad('mu_HB1 in component pH_B1 (J_per_mol)');
LEGEND_ALGEBRAIC(:,89) = strpad('mu_H_i in component pH_B2 (J_per_mol)');
LEGEND_ALGEBRAIC(:,90) = strpad('mu_B2 in component pH_B2 (J_per_mol)');
LEGEND_ALGEBRAIC(:,91) = strpad('mu_HB2 in component pH_B2 (J_per_mol)');
LEGEND_RATES(:,1) = strpad('d/dt q_HCO3_i in component environment (fmol)');
LEGEND_RATES(:,2) = strpad('d/dt q_HCO3_o in component environment (fmol)');
LEGEND_RATES(:,3) = strpad('d/dt q_Cl_i in component environment (fmol)');
LEGEND_RATES(:,4) = strpad('d/dt q_Cl_o in component environment (fmol)');
LEGEND_RATES(:,7) = strpad('d/dt q_Na_i in component environment (fmol)');
LEGEND_RATES(:,8) = strpad('d/dt q_Na_o in component environment (fmol)');
LEGEND_RATES(:,5) = strpad('d/dt q_OH_i in component environment (fmol)');
LEGEND_RATES(:,6) = strpad('d/dt q_OH_o in component environment (fmol)');
LEGEND_RATES(:,9) = strpad('d/dt q_H_i in component environment (fmol)');
LEGEND_RATES(:,10) = strpad('d/dt q_H_o in component environment (fmol)');
LEGEND_RATES(:,11) = strpad('d/dt q_B1 in component environment (fmol)');
LEGEND_RATES(:,12) = strpad('d/dt q_HB1 in component environment (fmol)');
LEGEND_RATES(:,13) = strpad('d/dt q_B2 in component environment (fmol)');
LEGEND_RATES(:,14) = strpad('d/dt q_HB2 in component environment (fmol)');
LEGEND_RATES(:,15) = strpad('d/dt q_CO2_i in component environment (fmol)');
LEGEND_RATES(:,16) = strpad('d/dt q_S1_AE in component AE (fmol)');
LEGEND_RATES(:,17) = strpad('d/dt q_S2_AE in component AE (fmol)');
LEGEND_RATES(:,18) = strpad('d/dt q_S3_AE in component AE (fmol)');
LEGEND_RATES(:,19) = strpad('d/dt q_S4_AE in component AE (fmol)');
LEGEND_RATES(:,20) = strpad('d/dt q_S5_AE in component AE (fmol)');
LEGEND_RATES(:,21) = strpad('d/dt q_S6_AE in component AE (fmol)');
LEGEND_RATES(:,22) = strpad('d/dt q_S1_CHE in component CHE (fmol)');
LEGEND_RATES(:,23) = strpad('d/dt q_S2_CHE in component CHE (fmol)');
LEGEND_RATES(:,24) = strpad('d/dt q_S3_CHE in component CHE (fmol)');
LEGEND_RATES(:,25) = strpad('d/dt q_S4_CHE in component CHE (fmol)');
LEGEND_RATES(:,26) = strpad('d/dt q_S5_CHE in component CHE (fmol)');
LEGEND_RATES(:,27) = strpad('d/dt q_S6_CHE in component CHE (fmol)');
LEGEND_RATES(:,28) = strpad('d/dt q_S1_NBC in component NBC (fmol)');
LEGEND_RATES(:,29) = strpad('d/dt q_S2_NBC in component NBC (fmol)');
LEGEND_RATES(:,30) = strpad('d/dt q_S3_NBC in component NBC (fmol)');
LEGEND_RATES(:,31) = strpad('d/dt q_S4_NBC in component NBC (fmol)');
LEGEND_RATES(:,32) = strpad('d/dt q_S5_NBC in component NBC (fmol)');
LEGEND_RATES(:,33) = strpad('d/dt q_S6_NBC in component NBC (fmol)');
LEGEND_RATES(:,34) = strpad('d/dt q_S1_NHE in component NHE (fmol)');
LEGEND_RATES(:,35) = strpad('d/dt q_S2_NHE in component NHE (fmol)');
LEGEND_RATES(:,36) = strpad('d/dt q_S3_NHE in component NHE (fmol)');
LEGEND_RATES(:,37) = strpad('d/dt q_S4_NHE in component NHE (fmol)');
LEGEND_RATES(:,38) = strpad('d/dt q_S5_NHE in component NHE (fmol)');
LEGEND_RATES(:,39) = strpad('d/dt q_S6_NHE in component NHE (fmol)');
LEGEND_STATES = LEGEND_STATES';
LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
LEGEND_RATES = LEGEND_RATES';
LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end
function [STATES, CONSTANTS] = initConsts()
VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
CONSTANTS(:,1) = 0.24087;
CONSTANTS(:,2) = 770508;
CONSTANTS(:,3) = 192939;
CONSTANTS(:,4) = 0.00694111;
CONSTANTS(:,5) = 189724;
CONSTANTS(:,6) = 759563;
CONSTANTS(:,7) = 7.95543;
CONSTANTS(:,8) = 0.0283611;
CONSTANTS(:,9) = 64516;
CONSTANTS(:,10) = 0.000244086;
CONSTANTS(:,11) = 3.75516e+06;
CONSTANTS(:,12) = 1.65076e+06;
CONSTANTS(:,13) = 0.00018267;
CONSTANTS(:,14) = 0.758017;
CONSTANTS(:,15) = 167885;
CONSTANTS(:,16) = 257175;
CONSTANTS(:,17) = 273.529;
CONSTANTS(:,18) = 0.00450451;
CONSTANTS(:,19) = 43.4747;
CONSTANTS(:,20) = 2076.03;
CONSTANTS(:,21) = 104.001;
CONSTANTS(:,22) = 5982.98;
CONSTANTS(:,23) = 0.000130522;
CONSTANTS(:,24) = 1630.31;
CONSTANTS(:,25) = 28.278;
CONSTANTS(:,26) = 974.566;
CONSTANTS(:,27) = 0;
CONSTANTS(:,28) = 0.0766951;
CONSTANTS(:,29) = 3.80421e-05;
CONSTANTS(:,30) = 0.30705;
CONSTANTS(:,31) = 0.000151922;
CONSTANTS(:,32) = 1440.61;
CONSTANTS(:,33) = 9682.05;
CONSTANTS(:,34) = 51000.5;
CONSTANTS(:,35) = 51864.9;
CONSTANTS(:,36) = 0.664318;
CONSTANTS(:,37) = 1461.37;
CONSTANTS(:,38) = 0.698479;
CONSTANTS(:,39) = 345.593;
CONSTANTS(:,40) = 31.4251;
CONSTANTS(:,41) = 28954.8;
CONSTANTS(:,42) = 279001;
CONSTANTS(:,43) = 4793.4;
CONSTANTS(:,44) = 0.0335637;
CONSTANTS(:,45) = 0.539255;
CONSTANTS(:,46) = 1.01691e+08;
CONSTANTS(:,47) = 39.0188;
CONSTANTS(:,48) = 0.67679;
CONSTANTS(:,49) = 0.000228816;
CONSTANTS(:,50) = 73.877;
CONSTANTS(:,51) = 290.079;
CONSTANTS(:,52) = 0.00031185;
CONSTANTS(:,53) = 17804.4;
CONSTANTS(:,54) = 1.12019e+06;
CONSTANTS(:,55) = 13.1527;
CONSTANTS(:,56) = 0.0131633;
CONSTANTS(:,57) = 6.13294e-05;
CONSTANTS(:,58) = 8022.54;
CONSTANTS(:,59) = 217.335;
CONSTANTS(:,60) = 797.586;
CONSTANTS(:,61) = 1.35735;
CONSTANTS(:,62) = 0.000225558;
CONSTANTS(:,63) = 39.3849;
CONSTANTS(:,64) = 0.0370592;
CONSTANTS(:,65) = 1e-6;
CONSTANTS(:,66) = 1e-6;
STATES(:,1) = 509.2;
STATES(:,2) = 122.2952;
STATES(:,3) = 824.6;
STATES(:,4) = 725.48;
STATES(:,5) = 5.36764E-06;
STATES(:,6) = 1.30166E-06;
STATES(:,7) = 481.46;
STATES(:,8) = 725.48;
STATES(:,9) = 2.69019E-06;
STATES(:,10) = 2.06299E-07;
STATES(:,11) = 0.05*3199.6; % pH_B1 (fmol)
STATES(:,12) = 1e-12;
STATES(:,13) = 1117.2;
STATES(:,14) = 1e-12;
STATES(:,15) = 46.968;
CONSTANTS(:,67) = 38;
CONSTANTS(:,68) = 5.182;
CONSTANTS(:,69) = 8.31;
CONSTANTS(:,70) = 310;
CONSTANTS(:,71) = 96485;
STATES(:,16) = 1.666e-7;
STATES(:,17) = 1.666e-7;
STATES(:,18) = 1.666e-7;
STATES(:,19) = 1.666e-7;
STATES(:,20) = 1.666e-7;
STATES(:,21) = 1.666e-7;
STATES(:,22) = 1.666e-7;
STATES(:,23) = 1.666e-7;
STATES(:,24) = 1.666e-7;
STATES(:,25) = 1.666e-7;
STATES(:,26) = 1.666e-7;
STATES(:,27) = 1.666e-7;
STATES(:,28) = 1.666e-7;
STATES(:,29) = 1.666e-7;
STATES(:,30) = 1.666e-7;
STATES(:,31) = 1.666e-7;
STATES(:,32) = 1.666e-7;
STATES(:,33) = 1.666e-7;
STATES(:,34) = 1.666e-7;
STATES(:,35) = 1.666e-7;
STATES(:,36) = 1.666e-7;
STATES(:,37) = 1.666e-7;
STATES(:,38) = 1.666e-7;
STATES(:,39) = 1.666e-7;
if (isempty(STATES)), warning('Initial values for states not set');, end
end
function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS)
disp(VOI)
global algebraicVariableCount;
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
ALGEBRAIC = zeros(1, algebraicVariableCount);
utilOnes = 1;
else
statesRowCount = statesSize(1);
ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount);
RATES = zeros(statesRowCount, statesColumnCount);
utilOnes = ones(statesRowCount, 1);
end
ALGEBRAIC(:,21) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,32).*STATES(:,16));
ALGEBRAIC(:,26) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,37).*STATES(:,21));
ALGEBRAIC(:,27) = CONSTANTS(:,1).*(exp(ALGEBRAIC(:,26)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,21)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,18) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,29).*STATES(:,2));
ALGEBRAIC(:,22) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,33).*STATES(:,17));
ALGEBRAIC(:,28) = CONSTANTS(:,2).*(exp(ALGEBRAIC(:,21)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp((ALGEBRAIC(:,22)+ALGEBRAIC(:,18))./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,16) = ALGEBRAIC(:,27) - ALGEBRAIC(:,28);
ALGEBRAIC(:,20) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,31).*STATES(:,4));
ALGEBRAIC(:,23) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,34).*STATES(:,18));
ALGEBRAIC(:,29) = CONSTANTS(:,3).*(exp((ALGEBRAIC(:,22)+ALGEBRAIC(:,20))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,23)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,17) = ALGEBRAIC(:,28) - ALGEBRAIC(:,29);
ALGEBRAIC(:,24) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,35).*STATES(:,19));
ALGEBRAIC(:,30) = CONSTANTS(:,4).*(exp(ALGEBRAIC(:,23)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,24)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,18) = ALGEBRAIC(:,29) - ALGEBRAIC(:,30);
ALGEBRAIC(:,19) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,30).*STATES(:,3));
ALGEBRAIC(:,25) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,36).*STATES(:,20));
ALGEBRAIC(:,31) = CONSTANTS(:,5).*(exp(ALGEBRAIC(:,24)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,19))./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,19) = ALGEBRAIC(:,30) - ALGEBRAIC(:,31);
ALGEBRAIC(:,3) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,28).*STATES(:,1));
ALGEBRAIC(:,33) = CONSTANTS(:,6).*(exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,3))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,26)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,20) = ALGEBRAIC(:,31) - ALGEBRAIC(:,33);
RATES(:,21) = ALGEBRAIC(:,33) - ALGEBRAIC(:,27);
ALGEBRAIC(:,35) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,46).*STATES(:,15));
ALGEBRAIC(:,37) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,28).*STATES(:,1));
ALGEBRAIC(:,39) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,47).*STATES(:,9));
ALGEBRAIC(:,41) = CONSTANTS(:,13).*(exp(ALGEBRAIC(:,35)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp((ALGEBRAIC(:,37)+ALGEBRAIC(:,39))./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,15) = - ALGEBRAIC(:,41);
ALGEBRAIC(:,34) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,39).*STATES(:,6));
ALGEBRAIC(:,40) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,40).*STATES(:,22));
ALGEBRAIC(:,42) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,41).*STATES(:,23));
ALGEBRAIC(:,54) = CONSTANTS(:,8).*(exp(ALGEBRAIC(:,40)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp((ALGEBRAIC(:,42)+ALGEBRAIC(:,34))./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,6) = ALGEBRAIC(:,54);
ALGEBRAIC(:,50) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,45).*STATES(:,27));
ALGEBRAIC(:,52) = CONSTANTS(:,7).*(exp(ALGEBRAIC(:,50)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,40)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,22) = ALGEBRAIC(:,52) - ALGEBRAIC(:,54);
ALGEBRAIC(:,38) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,31).*STATES(:,4));
ALGEBRAIC(:,44) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,42).*STATES(:,24));
ALGEBRAIC(:,56) = CONSTANTS(:,9).*(exp((ALGEBRAIC(:,42)+ALGEBRAIC(:,38))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,44)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,4) = - ALGEBRAIC(:,29) - ALGEBRAIC(:,56);
RATES(:,23) = ALGEBRAIC(:,54) - ALGEBRAIC(:,56);
ALGEBRAIC(:,46) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,43).*STATES(:,25));
ALGEBRAIC(:,58) = CONSTANTS(:,10).*(exp(ALGEBRAIC(:,44)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,46)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,24) = ALGEBRAIC(:,56) - ALGEBRAIC(:,58);
ALGEBRAIC(:,36) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,30).*STATES(:,3));
ALGEBRAIC(:,48) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,44).*STATES(:,26));
ALGEBRAIC(:,60) = CONSTANTS(:,11).*(exp(ALGEBRAIC(:,46)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp((ALGEBRAIC(:,48)+ALGEBRAIC(:,36))./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,3) = ALGEBRAIC(:,31)+ALGEBRAIC(:,60);
RATES(:,25) = ALGEBRAIC(:,58) - ALGEBRAIC(:,60);
ALGEBRAIC(:,32) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,38).*STATES(:,5));
ALGEBRAIC(:,62) = CONSTANTS(:,12).*(exp((ALGEBRAIC(:,48)+ALGEBRAIC(:,32))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,50)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,5) = - ALGEBRAIC(:,62);
RATES(:,26) = ALGEBRAIC(:,60) - ALGEBRAIC(:,62);
RATES(:,27) = ALGEBRAIC(:,62) - ALGEBRAIC(:,52);
ALGEBRAIC(:,51) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,50).*STATES(:,28));
ALGEBRAIC(:,61) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,55).*STATES(:,33));
ALGEBRAIC(:,63) = CONSTANTS(:,14).*(exp(ALGEBRAIC(:,61)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,51)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,45) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,49).*STATES(:,8));
ALGEBRAIC(:,53) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,51).*STATES(:,29));
ALGEBRAIC(:,64) = CONSTANTS(:,15).*(exp((ALGEBRAIC(:,45)+ALGEBRAIC(:,51))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,53)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,28) = ALGEBRAIC(:,63) - ALGEBRAIC(:,64);
ALGEBRAIC(:,49) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,29).*STATES(:,2));
ALGEBRAIC(:,55) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,52).*STATES(:,30));
ALGEBRAIC(:,65) = CONSTANTS(:,16).*(exp((ALGEBRAIC(:,49)+ALGEBRAIC(:,53))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,55)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,2) = ALGEBRAIC(:,28) - ALGEBRAIC(:,65);
RATES(:,29) = ALGEBRAIC(:,64) - ALGEBRAIC(:,65);
ALGEBRAIC(:,57) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,53).*STATES(:,31));
ALGEBRAIC(:,66) = CONSTANTS(:,17).*(exp(ALGEBRAIC(:,55)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,57)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,30) = ALGEBRAIC(:,65) - ALGEBRAIC(:,66);
ALGEBRAIC(:,47) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,28).*STATES(:,1));
ALGEBRAIC(:,59) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,54).*STATES(:,32));
ALGEBRAIC(:,67) = CONSTANTS(:,18).*(exp(ALGEBRAIC(:,57)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp((ALGEBRAIC(:,59)+ALGEBRAIC(:,47))./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,1) = - ALGEBRAIC(:,33)+ALGEBRAIC(:,67)+ALGEBRAIC(:,41);
RATES(:,31) = ALGEBRAIC(:,66) - ALGEBRAIC(:,67);
ALGEBRAIC(:,43) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,48).*STATES(:,7));
ALGEBRAIC(:,68) = CONSTANTS(:,19).*(exp(ALGEBRAIC(:,59)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp((ALGEBRAIC(:,61)+ALGEBRAIC(:,43))./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,32) = ALGEBRAIC(:,67) - ALGEBRAIC(:,68);
RATES(:,33) = ALGEBRAIC(:,68) - ALGEBRAIC(:,63);
ALGEBRAIC(:,70) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,56).*STATES(:,10));
ALGEBRAIC(:,73) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,57).*STATES(:,34));
ALGEBRAIC(:,74) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,58).*STATES(:,35));
ALGEBRAIC(:,80) = CONSTANTS(:,21).*(exp(ALGEBRAIC(:,73)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp((ALGEBRAIC(:,74)+ALGEBRAIC(:,70))./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,10) = ALGEBRAIC(:,80);
ALGEBRAIC(:,78) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,62).*STATES(:,39));
ALGEBRAIC(:,79) = CONSTANTS(:,20).*(exp(ALGEBRAIC(:,78)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,73)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,34) = ALGEBRAIC(:,79) - ALGEBRAIC(:,80);
ALGEBRAIC(:,72) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,49).*STATES(:,8));
ALGEBRAIC(:,75) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,59).*STATES(:,36));
ALGEBRAIC(:,81) = CONSTANTS(:,22).*(exp((ALGEBRAIC(:,74)+ALGEBRAIC(:,72))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,75)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,8) = - ALGEBRAIC(:,64) - ALGEBRAIC(:,81);
RATES(:,35) = ALGEBRAIC(:,80) - ALGEBRAIC(:,81);
ALGEBRAIC(:,76) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,60).*STATES(:,37));
ALGEBRAIC(:,82) = CONSTANTS(:,23).*(exp(ALGEBRAIC(:,75)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,76)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,36) = ALGEBRAIC(:,81) - ALGEBRAIC(:,82);
ALGEBRAIC(:,71) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,48).*STATES(:,7));
ALGEBRAIC(:,77) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,61).*STATES(:,38));
ALGEBRAIC(:,83) = CONSTANTS(:,24).*(exp(ALGEBRAIC(:,76)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp((ALGEBRAIC(:,77)+ALGEBRAIC(:,71))./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,7) = ALGEBRAIC(:,68)+ALGEBRAIC(:,83);
RATES(:,37) = ALGEBRAIC(:,82) - ALGEBRAIC(:,83);
ALGEBRAIC(:,69) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,47).*STATES(:,9));
ALGEBRAIC(:,84) = CONSTANTS(:,25).*(exp((ALGEBRAIC(:,77)+ALGEBRAIC(:,69))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,78)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,38) = ALGEBRAIC(:,83) - ALGEBRAIC(:,84);
RATES(:,39) = ALGEBRAIC(:,84) - ALGEBRAIC(:,79);
ALGEBRAIC(:,85) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,47).*STATES(:,9));
ALGEBRAIC(:,86) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,63).*STATES(:,11));
ALGEBRAIC(:,87) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,64).*STATES(:,12));
ALGEBRAIC(:,88) = CONSTANTS(:,26).*(exp((ALGEBRAIC(:,85)+ALGEBRAIC(:,86))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,87)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,11) = - ALGEBRAIC(:,88);
RATES(:,12) = ALGEBRAIC(:,88);
ALGEBRAIC(:,89) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,47).*STATES(:,9));
ALGEBRAIC(:,90) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,65).*STATES(:,13));
ALGEBRAIC(:,91) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,66).*STATES(:,14));
ALGEBRAIC(:,92) = CONSTANTS(:,27).*(exp((ALGEBRAIC(:,89)+ALGEBRAIC(:,90))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,91)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
RATES(:,9) = (( - ALGEBRAIC(:,84) - ALGEBRAIC(:,88)) - ALGEBRAIC(:,92))+ALGEBRAIC(:,41);
RATES(:,13) = - ALGEBRAIC(:,92);
RATES(:,14) = ALGEBRAIC(:,92);
RATES = RATES';
end
% Calculate algebraic variables
function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI)
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
utilOnes = 1;
else
statesRowCount = statesSize(1);
utilOnes = ones(statesRowCount, 1);
end
ALGEBRAIC(:,21) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,32).*STATES(:,16));
ALGEBRAIC(:,26) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,37).*STATES(:,21));
ALGEBRAIC(:,27) = CONSTANTS(:,1).*(exp(ALGEBRAIC(:,26)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,21)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,18) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,29).*STATES(:,2));
ALGEBRAIC(:,22) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,33).*STATES(:,17));
ALGEBRAIC(:,28) = CONSTANTS(:,2).*(exp(ALGEBRAIC(:,21)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp((ALGEBRAIC(:,22)+ALGEBRAIC(:,18))./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,20) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,31).*STATES(:,4));
ALGEBRAIC(:,23) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,34).*STATES(:,18));
ALGEBRAIC(:,29) = CONSTANTS(:,3).*(exp((ALGEBRAIC(:,22)+ALGEBRAIC(:,20))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,23)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,24) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,35).*STATES(:,19));
ALGEBRAIC(:,30) = CONSTANTS(:,4).*(exp(ALGEBRAIC(:,23)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,24)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,19) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,30).*STATES(:,3));
ALGEBRAIC(:,25) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,36).*STATES(:,20));
ALGEBRAIC(:,31) = CONSTANTS(:,5).*(exp(ALGEBRAIC(:,24)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,19))./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,3) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,28).*STATES(:,1));
ALGEBRAIC(:,33) = CONSTANTS(:,6).*(exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,3))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,26)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,35) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,46).*STATES(:,15));
ALGEBRAIC(:,37) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,28).*STATES(:,1));
ALGEBRAIC(:,39) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,47).*STATES(:,9));
ALGEBRAIC(:,41) = CONSTANTS(:,13).*(exp(ALGEBRAIC(:,35)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp((ALGEBRAIC(:,37)+ALGEBRAIC(:,39))./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,34) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,39).*STATES(:,6));
ALGEBRAIC(:,40) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,40).*STATES(:,22));
ALGEBRAIC(:,42) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,41).*STATES(:,23));
ALGEBRAIC(:,54) = CONSTANTS(:,8).*(exp(ALGEBRAIC(:,40)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp((ALGEBRAIC(:,42)+ALGEBRAIC(:,34))./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,50) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,45).*STATES(:,27));
ALGEBRAIC(:,52) = CONSTANTS(:,7).*(exp(ALGEBRAIC(:,50)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,40)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,38) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,31).*STATES(:,4));
ALGEBRAIC(:,44) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,42).*STATES(:,24));
ALGEBRAIC(:,56) = CONSTANTS(:,9).*(exp((ALGEBRAIC(:,42)+ALGEBRAIC(:,38))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,44)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,46) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,43).*STATES(:,25));
ALGEBRAIC(:,58) = CONSTANTS(:,10).*(exp(ALGEBRAIC(:,44)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,46)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,36) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,30).*STATES(:,3));
ALGEBRAIC(:,48) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,44).*STATES(:,26));
ALGEBRAIC(:,60) = CONSTANTS(:,11).*(exp(ALGEBRAIC(:,46)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp((ALGEBRAIC(:,48)+ALGEBRAIC(:,36))./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,32) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,38).*STATES(:,5));
ALGEBRAIC(:,62) = CONSTANTS(:,12).*(exp((ALGEBRAIC(:,48)+ALGEBRAIC(:,32))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,50)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,51) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,50).*STATES(:,28));
ALGEBRAIC(:,61) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,55).*STATES(:,33));
ALGEBRAIC(:,63) = CONSTANTS(:,14).*(exp(ALGEBRAIC(:,61)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,51)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,45) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,49).*STATES(:,8));
ALGEBRAIC(:,53) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,51).*STATES(:,29));
ALGEBRAIC(:,64) = CONSTANTS(:,15).*(exp((ALGEBRAIC(:,45)+ALGEBRAIC(:,51))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,53)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,49) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,29).*STATES(:,2));
ALGEBRAIC(:,55) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,52).*STATES(:,30));
ALGEBRAIC(:,65) = CONSTANTS(:,16).*(exp((ALGEBRAIC(:,49)+ALGEBRAIC(:,53))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,55)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,57) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,53).*STATES(:,31));
ALGEBRAIC(:,66) = CONSTANTS(:,17).*(exp(ALGEBRAIC(:,55)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,57)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,47) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,28).*STATES(:,1));
ALGEBRAIC(:,59) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,54).*STATES(:,32));
ALGEBRAIC(:,67) = CONSTANTS(:,18).*(exp(ALGEBRAIC(:,57)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp((ALGEBRAIC(:,59)+ALGEBRAIC(:,47))./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,43) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,48).*STATES(:,7));
ALGEBRAIC(:,68) = CONSTANTS(:,19).*(exp(ALGEBRAIC(:,59)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp((ALGEBRAIC(:,61)+ALGEBRAIC(:,43))./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,70) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,56).*STATES(:,10));
ALGEBRAIC(:,73) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,57).*STATES(:,34));
ALGEBRAIC(:,74) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,58).*STATES(:,35));
ALGEBRAIC(:,80) = CONSTANTS(:,21).*(exp(ALGEBRAIC(:,73)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp((ALGEBRAIC(:,74)+ALGEBRAIC(:,70))./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,78) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,62).*STATES(:,39));
ALGEBRAIC(:,79) = CONSTANTS(:,20).*(exp(ALGEBRAIC(:,78)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,73)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,72) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,49).*STATES(:,8));
ALGEBRAIC(:,75) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,59).*STATES(:,36));
ALGEBRAIC(:,81) = CONSTANTS(:,22).*(exp((ALGEBRAIC(:,74)+ALGEBRAIC(:,72))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,75)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,76) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,60).*STATES(:,37));
ALGEBRAIC(:,82) = CONSTANTS(:,23).*(exp(ALGEBRAIC(:,75)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,76)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,71) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,48).*STATES(:,7));
ALGEBRAIC(:,77) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,61).*STATES(:,38));
ALGEBRAIC(:,83) = CONSTANTS(:,24).*(exp(ALGEBRAIC(:,76)./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp((ALGEBRAIC(:,77)+ALGEBRAIC(:,71))./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,69) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,47).*STATES(:,9));
ALGEBRAIC(:,84) = CONSTANTS(:,25).*(exp((ALGEBRAIC(:,77)+ALGEBRAIC(:,69))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,78)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,85) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,47).*STATES(:,9));
ALGEBRAIC(:,86) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,63).*STATES(:,11));
ALGEBRAIC(:,87) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,64).*STATES(:,12));
ALGEBRAIC(:,88) = CONSTANTS(:,26).*(exp((ALGEBRAIC(:,85)+ALGEBRAIC(:,86))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,87)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,89) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,47).*STATES(:,9));
ALGEBRAIC(:,90) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,65).*STATES(:,13));
ALGEBRAIC(:,91) = CONSTANTS(:,69).*CONSTANTS(:,70).*log( CONSTANTS(:,66).*STATES(:,14));
ALGEBRAIC(:,92) = CONSTANTS(:,27).*(exp((ALGEBRAIC(:,89)+ALGEBRAIC(:,90))./( CONSTANTS(:,69).*CONSTANTS(:,70))) - exp(ALGEBRAIC(:,91)./( CONSTANTS(:,69).*CONSTANTS(:,70))));
ALGEBRAIC(:,1) = STATES(:,9)./CONSTANTS(:,67);
ALGEBRAIC(:,2) = STATES(:,10)./CONSTANTS(:,68);
ALGEBRAIC(:,4) = STATES(:,1)+STATES(:,2)+STATES(:,16)+STATES(:,21);
ALGEBRAIC(:,5) = STATES(:,16)+STATES(:,17)+STATES(:,18)+STATES(:,19)+STATES(:,20)+STATES(:,21);
ALGEBRAIC(:,6) = STATES(:,16)+STATES(:,21);
ALGEBRAIC(:,7) = STATES(:,3)+STATES(:,4)+STATES(:,18)+STATES(:,19);
ALGEBRAIC(:,8) = STATES(:,1)+STATES(:,2)+STATES(:,30)+STATES(:,31);
ALGEBRAIC(:,9) = STATES(:,28)+STATES(:,29)+STATES(:,30)+STATES(:,31)+STATES(:,32)+STATES(:,33);
ALGEBRAIC(:,10) = STATES(:,7)+STATES(:,8)+STATES(:,33)+STATES(:,28);
ALGEBRAIC(:,11) = STATES(:,9)+STATES(:,10)+STATES(:,34)+STATES(:,39);
ALGEBRAIC(:,12) = STATES(:,9)+STATES(:,10);
ALGEBRAIC(:,13) = STATES(:,7)+STATES(:,8)+STATES(:,36)+STATES(:,37);
ALGEBRAIC(:,14) = STATES(:,34)+STATES(:,35)+STATES(:,36)+STATES(:,37)+STATES(:,38)+STATES(:,39);
ALGEBRAIC(:,15) = STATES(:,34)+STATES(:,39);
ALGEBRAIC(:,16) = - arbitrary_log(ALGEBRAIC(:,1), 10);
ALGEBRAIC(:,17) = - arbitrary_log(ALGEBRAIC(:,2), 10);
end
% Compute a logarithm to any base" +
function x = arbitrary_log(a, base)
x = log(a) ./ log(base);
end
% Pad out or shorten strings to a set length
function strout = strpad(strin)
req_length = 160;
insize = size(strin,2);
if insize > req_length
strout = strin(1:req_length);
else
strout = [strin, blanks(req_length - insize)];
end
end
