Generated Code
The following is matlab code generated by the CellML API from this CellML file. (Back to language selection)
The raw code is available.
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 =68;
end
% There are a total of 27 entries in each of the rate and state variable arrays.
% There are a total of 67 entries in the constant variable array.
%
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
% 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, 10];
% Set numerical accuracy options for ODE solver
options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1);
% 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);
% Plot state variables against variable of integration
[LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends();
figure();
plot(VOI, STATES);
xlabel(LEGEND_VOI);
l = legend(LEGEND_STATES);
set(l,'Interpreter','none');
end
function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
LEGEND_VOI = strpad('time in component environment (second)');
LEGEND_STATES(:,1) = strpad('q_Ca_i in component environment (fmol)');
LEGEND_STATES(:,2) = strpad('q_Ca_SR in component environment (fmol)');
LEGEND_STATES(:,3) = strpad('q_IP3 in component environment (fmol)');
LEGEND_STATES(:,4) = strpad('q_Sa_000_IPR in component environment (fmol)');
LEGEND_STATES(:,5) = strpad('q_Sa_001_IPR in component environment (fmol)');
LEGEND_STATES(:,6) = strpad('q_Sa_010_IPR in component environment (fmol)');
LEGEND_STATES(:,7) = strpad('q_Sa_011_IPR in component environment (fmol)');
LEGEND_STATES(:,8) = strpad('q_Sa_100_IPR in component environment (fmol)');
LEGEND_STATES(:,9) = strpad('q_Sa_101_IPR in component environment (fmol)');
LEGEND_STATES(:,10) = strpad('q_Sa_110_IPR in component environment (fmol)');
LEGEND_STATES(:,11) = strpad('q_Sa_111_IPR in component environment (fmol)');
LEGEND_STATES(:,12) = strpad('q_Sb_000_IPR in component environment (fmol)');
LEGEND_STATES(:,13) = strpad('q_Sb_001_IPR in component environment (fmol)');
LEGEND_STATES(:,14) = strpad('q_Sb_010_IPR in component environment (fmol)');
LEGEND_STATES(:,15) = strpad('q_Sb_011_IPR in component environment (fmol)');
LEGEND_STATES(:,16) = strpad('q_Sb_100_IPR in component environment (fmol)');
LEGEND_STATES(:,17) = strpad('q_Sb_101_IPR in component environment (fmol)');
LEGEND_STATES(:,18) = strpad('q_Sb_110_IPR in component environment (fmol)');
LEGEND_STATES(:,19) = strpad('q_Sb_111_IPR in component environment (fmol)');
LEGEND_STATES(:,20) = strpad('q_Sc_000_IPR in component environment (fmol)');
LEGEND_STATES(:,21) = strpad('q_Sc_001_IPR in component environment (fmol)');
LEGEND_STATES(:,22) = strpad('q_Sc_010_IPR in component environment (fmol)');
LEGEND_STATES(:,23) = strpad('q_Sc_011_IPR in component environment (fmol)');
LEGEND_STATES(:,24) = strpad('q_Sc_100_IPR in component environment (fmol)');
LEGEND_STATES(:,25) = strpad('q_Sc_101_IPR in component environment (fmol)');
LEGEND_STATES(:,26) = strpad('q_Sc_110_IPR in component environment (fmol)');
LEGEND_STATES(:,27) = strpad('q_Sc_111_IPR in component environment (fmol)');
LEGEND_ALGEBRAIC(:,2) = strpad('IP3_stim in component environment (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,32) = strpad('v_R_IPR_main in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,33) = strpad('v_R1_a_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,34) = strpad('v_R2_a_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,35) = strpad('v_R3_a_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,36) = strpad('v_R4_a_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,37) = strpad('v_R5_a_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,38) = strpad('v_R6_a_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,39) = strpad('v_R7_a_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,40) = strpad('v_R8_a_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,41) = strpad('v_R9_a_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,42) = strpad('v_R10_a_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,43) = strpad('v_R11_a_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,44) = strpad('v_R12_a_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,45) = strpad('v_R1_b_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,46) = strpad('v_R2_b_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,47) = strpad('v_R3_b_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,48) = strpad('v_R4_b_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,49) = strpad('v_R5_b_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,50) = strpad('v_R6_b_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,51) = strpad('v_R7_b_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,52) = strpad('v_R8_b_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,53) = strpad('v_R9_b_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,54) = strpad('v_R10_b_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,55) = strpad('v_R11_b_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,56) = strpad('v_R12_b_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,57) = strpad('v_R1_c_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,58) = strpad('v_R2_c_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,59) = strpad('v_R3_c_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,60) = strpad('v_R4_c_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,61) = strpad('v_R5_c_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,62) = strpad('v_R6_c_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,63) = strpad('v_R7_c_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,64) = strpad('v_R8_c_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,65) = strpad('v_R9_c_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,66) = strpad('v_R10_c_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,67) = strpad('v_R11_c_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,68) = strpad('v_R12_c_IPR in component IPR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,3) = strpad('Ca_tot in component environment (fmol)');
LEGEND_ALGEBRAIC(:,1) = strpad('Ca_gate in component environment (fmol)');
LEGEND_CONSTANTS(:,1) = strpad('kappa_R_IPR_main in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,2) = strpad('kappa_R1_a_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,3) = strpad('kappa_R2_a_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,4) = strpad('kappa_R3_a_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,5) = strpad('kappa_R4_a_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,6) = strpad('kappa_R5_a_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,7) = strpad('kappa_R6_a_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,8) = strpad('kappa_R7_a_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,9) = strpad('kappa_R8_a_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,10) = strpad('kappa_R9_a_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,11) = strpad('kappa_R10_a_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,12) = strpad('kappa_R11_a_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,13) = strpad('kappa_R12_a_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,14) = strpad('kappa_R1_b_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,15) = strpad('kappa_R2_b_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,16) = strpad('kappa_R3_b_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,17) = strpad('kappa_R4_b_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,18) = strpad('kappa_R5_b_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,19) = strpad('kappa_R6_b_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,20) = strpad('kappa_R7_b_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,21) = strpad('kappa_R8_b_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,22) = strpad('kappa_R9_b_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,23) = strpad('kappa_R10_b_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,24) = strpad('kappa_R11_b_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,25) = strpad('kappa_R12_b_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,26) = strpad('kappa_R1_c_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,27) = strpad('kappa_R2_c_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,28) = strpad('kappa_R3_c_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,29) = strpad('kappa_R4_c_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,30) = strpad('kappa_R5_c_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,31) = strpad('kappa_R6_c_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,32) = strpad('kappa_R7_c_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,33) = strpad('kappa_R8_c_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,34) = strpad('kappa_R9_c_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,35) = strpad('kappa_R10_c_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,36) = strpad('kappa_R11_c_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,37) = strpad('kappa_R12_c_IPR in component IPR_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,38) = strpad('K_Ca_i in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,39) = strpad('K_Ca_SR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,40) = strpad('K_IP3 in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,41) = strpad('K_Sa_000_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,42) = strpad('K_Sa_001_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,43) = strpad('K_Sa_010_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,44) = strpad('K_Sa_011_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,45) = strpad('K_Sa_100_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,46) = strpad('K_Sa_101_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,47) = strpad('K_Sa_110_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,48) = strpad('K_Sa_111_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,49) = strpad('K_Sb_000_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,50) = strpad('K_Sb_001_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,51) = strpad('K_Sb_010_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,52) = strpad('K_Sb_011_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,53) = strpad('K_Sb_100_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,54) = strpad('K_Sb_101_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,55) = strpad('K_Sb_110_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,56) = strpad('K_Sb_111_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,57) = strpad('K_Sc_000_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,58) = strpad('K_Sc_001_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,59) = strpad('K_Sc_010_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,60) = strpad('K_Sc_011_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,61) = strpad('K_Sc_100_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,62) = strpad('K_Sc_101_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,63) = strpad('K_Sc_110_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,64) = strpad('K_Sc_111_IPR in component IPR_parameters (per_fmol)');
LEGEND_CONSTANTS(:,65) = strpad('R in component constants (J_per_K_per_mol)');
LEGEND_CONSTANTS(:,66) = strpad('T in component constants (kelvin)');
LEGEND_ALGEBRAIC(:,4) = strpad('mu_Ca_i in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,5) = strpad('mu_Ca_SR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,6) = strpad('mu_IP3 in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,8) = strpad('mu_Sa_000_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,9) = strpad('mu_Sa_001_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,10) = strpad('mu_Sa_010_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,11) = strpad('mu_Sa_011_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,12) = strpad('mu_Sa_100_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,13) = strpad('mu_Sa_101_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,14) = strpad('mu_Sa_110_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,15) = strpad('mu_Sa_111_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,16) = strpad('mu_Sb_000_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,17) = strpad('mu_Sb_001_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,18) = strpad('mu_Sb_010_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,19) = strpad('mu_Sb_011_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,20) = strpad('mu_Sb_100_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,21) = strpad('mu_Sb_101_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,22) = strpad('mu_Sb_110_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,23) = strpad('mu_Sb_111_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,24) = strpad('mu_Sc_000_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,25) = strpad('mu_Sc_001_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,26) = strpad('mu_Sc_010_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,27) = strpad('mu_Sc_011_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,28) = strpad('mu_Sc_100_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,29) = strpad('mu_Sc_101_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,30) = strpad('mu_Sc_110_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,31) = strpad('mu_Sc_111_IPR in component IPR (J_per_mol)');
LEGEND_ALGEBRAIC(:,7) = strpad('v_R_IPR_main_nogate in component IPR (fmol_per_sec)');
LEGEND_CONSTANTS(:,67) = strpad('F in component constants (C_per_mol)');
LEGEND_RATES(:,1) = strpad('d/dt q_Ca_i in component environment (fmol)');
LEGEND_RATES(:,2) = strpad('d/dt q_Ca_SR in component environment (fmol)');
LEGEND_RATES(:,3) = strpad('d/dt q_IP3 in component environment (fmol)');
LEGEND_RATES(:,4) = strpad('d/dt q_Sa_000_IPR in component environment (fmol)');
LEGEND_RATES(:,5) = strpad('d/dt q_Sa_001_IPR in component environment (fmol)');
LEGEND_RATES(:,6) = strpad('d/dt q_Sa_010_IPR in component environment (fmol)');
LEGEND_RATES(:,7) = strpad('d/dt q_Sa_011_IPR in component environment (fmol)');
LEGEND_RATES(:,8) = strpad('d/dt q_Sa_100_IPR in component environment (fmol)');
LEGEND_RATES(:,9) = strpad('d/dt q_Sa_101_IPR in component environment (fmol)');
LEGEND_RATES(:,10) = strpad('d/dt q_Sa_110_IPR in component environment (fmol)');
LEGEND_RATES(:,11) = strpad('d/dt q_Sa_111_IPR in component environment (fmol)');
LEGEND_RATES(:,12) = strpad('d/dt q_Sb_000_IPR in component environment (fmol)');
LEGEND_RATES(:,13) = strpad('d/dt q_Sb_001_IPR in component environment (fmol)');
LEGEND_RATES(:,14) = strpad('d/dt q_Sb_010_IPR in component environment (fmol)');
LEGEND_RATES(:,15) = strpad('d/dt q_Sb_011_IPR in component environment (fmol)');
LEGEND_RATES(:,16) = strpad('d/dt q_Sb_100_IPR in component environment (fmol)');
LEGEND_RATES(:,17) = strpad('d/dt q_Sb_101_IPR in component environment (fmol)');
LEGEND_RATES(:,18) = strpad('d/dt q_Sb_110_IPR in component environment (fmol)');
LEGEND_RATES(:,19) = strpad('d/dt q_Sb_111_IPR in component environment (fmol)');
LEGEND_RATES(:,20) = strpad('d/dt q_Sc_000_IPR in component environment (fmol)');
LEGEND_RATES(:,21) = strpad('d/dt q_Sc_001_IPR in component environment (fmol)');
LEGEND_RATES(:,22) = strpad('d/dt q_Sc_010_IPR in component environment (fmol)');
LEGEND_RATES(:,23) = strpad('d/dt q_Sc_011_IPR in component environment (fmol)');
LEGEND_RATES(:,24) = strpad('d/dt q_Sc_100_IPR in component environment (fmol)');
LEGEND_RATES(:,25) = strpad('d/dt q_Sc_101_IPR in component environment (fmol)');
LEGEND_RATES(:,26) = strpad('d/dt q_Sc_110_IPR in component environment (fmol)');
LEGEND_RATES(:,27) = strpad('d/dt q_Sc_111_IPR in component environment (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 = [];
STATES(:,1) = 0.007540192;
STATES(:,2) = 0.763997897;
STATES(:,3) = 5e-3;
STATES(:,4) = 5e-6;
STATES(:,5) = 5e-6;
STATES(:,6) = 5e-6;
STATES(:,7) = 5e-6;
STATES(:,8) = 5e-6;
STATES(:,9) = 5e-6;
STATES(:,10) = 5e-6;
STATES(:,11) = 5e-6;
STATES(:,12) = 5e-6;
STATES(:,13) = 5e-6;
STATES(:,14) = 5e-6;
STATES(:,15) = 5e-6;
STATES(:,16) = 5e-6;
STATES(:,17) = 5e-6;
STATES(:,18) = 5e-6;
STATES(:,19) = 5e-6;
STATES(:,20) = 5e-6;
STATES(:,21) = 5e-6;
STATES(:,22) = 5e-6;
STATES(:,23) = 5e-6;
STATES(:,24) = 5e-6;
STATES(:,25) = 5e-6;
STATES(:,26) = 5e-6;
STATES(:,27) = 5e-6;
CONSTANTS(:,1) = 1.61481e+08;
CONSTANTS(:,2) = 0.0180631;
CONSTANTS(:,3) = 5.45765;
CONSTANTS(:,4) = 0.0957773;
CONSTANTS(:,5) = 1.80631;
CONSTANTS(:,6) = 7.15849e-05;
CONSTANTS(:,7) = 0.00297939;
CONSTANTS(:,8) = 0.36184;
CONSTANTS(:,9) = 6505.35;
CONSTANTS(:,10) = 0.128757;
CONSTANTS(:,11) = 0.0426298;
CONSTANTS(:,12) = 0.68272;
CONSTANTS(:,13) = 205415;
CONSTANTS(:,14) = 0.0180631;
CONSTANTS(:,15) = 5.45765;
CONSTANTS(:,16) = 0.0957773;
CONSTANTS(:,17) = 1.80631;
CONSTANTS(:,18) = 7.15849e-05;
CONSTANTS(:,19) = 0.00297939;
CONSTANTS(:,20) = 0.36184;
CONSTANTS(:,21) = 6505.35;
CONSTANTS(:,22) = 0.128757;
CONSTANTS(:,23) = 0.0426298;
CONSTANTS(:,24) = 0.68272;
CONSTANTS(:,25) = 205415;
CONSTANTS(:,26) = 0.0180631;
CONSTANTS(:,27) = 5.45765;
CONSTANTS(:,28) = 0.0957773;
CONSTANTS(:,29) = 1.80631;
CONSTANTS(:,30) = 7.15849e-05;
CONSTANTS(:,31) = 0.00297939;
CONSTANTS(:,32) = 0.36184;
CONSTANTS(:,33) = 6505.35;
CONSTANTS(:,34) = 0.128757;
CONSTANTS(:,35) = 0.0426298;
CONSTANTS(:,36) = 0.68272;
CONSTANTS(:,37) = 205415;
CONSTANTS(:,38) = 617.368;
CONSTANTS(:,39) = 1004.58;
CONSTANTS(:,40) = 523369;
CONSTANTS(:,41) = 4.83415;
CONSTANTS(:,42) = 1.59995;
CONSTANTS(:,43) = 0.911695;
CONSTANTS(:,44) = 0.301742;
CONSTANTS(:,45) = 1219.81;
CONSTANTS(:,46) = 2930.79;
CONSTANTS(:,47) = 0.000253146;
CONSTANTS(:,48) = 552.73;
CONSTANTS(:,49) = 4.83415;
CONSTANTS(:,50) = 1.59995;
CONSTANTS(:,51) = 0.911695;
CONSTANTS(:,52) = 0.301742;
CONSTANTS(:,53) = 1219.81;
CONSTANTS(:,54) = 2930.79;
CONSTANTS(:,55) = 0.000253146;
CONSTANTS(:,56) = 552.73;
CONSTANTS(:,57) = 4.83415;
CONSTANTS(:,58) = 1.59995;
CONSTANTS(:,59) = 0.911695;
CONSTANTS(:,60) = 0.301742;
CONSTANTS(:,61) = 1219.81;
CONSTANTS(:,62) = 2930.79;
CONSTANTS(:,63) = 0.000253146;
CONSTANTS(:,64) = 552.73;
CONSTANTS(:,65) = 8.31;
CONSTANTS(:,66) = 310;
CONSTANTS(:,67) = 96485;
if (isempty(STATES)), warning('Initial values for states not set');, end
end
function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS)
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(:,4) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,38).*STATES(:,1));
ALGEBRAIC(:,5) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,39).*STATES(:,2));
ALGEBRAIC(:,14) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,47).*STATES(:,10));
ALGEBRAIC(:,22) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,55).*STATES(:,18));
ALGEBRAIC(:,30) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,63).*STATES(:,26));
ALGEBRAIC(:,32) = CONSTANTS(:,1).*(exp((ALGEBRAIC(:,5)+ALGEBRAIC(:,14)+ALGEBRAIC(:,22)+ALGEBRAIC(:,30))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,4)+ALGEBRAIC(:,14)+ALGEBRAIC(:,22)+ALGEBRAIC(:,30))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,2) = - ALGEBRAIC(:,32);
ALGEBRAIC(:,8) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,41).*STATES(:,4));
ALGEBRAIC(:,9) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,42).*STATES(:,5));
ALGEBRAIC(:,33) = CONSTANTS(:,2).*(exp((ALGEBRAIC(:,8)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,9)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,11) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,44).*STATES(:,7));
ALGEBRAIC(:,34) = CONSTANTS(:,3).*(exp((ALGEBRAIC(:,9)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,11)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,6) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,40).*STATES(:,3));
ALGEBRAIC(:,13) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,46).*STATES(:,9));
ALGEBRAIC(:,41) = CONSTANTS(:,10).*(exp((ALGEBRAIC(:,9)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,13)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,5) = (ALGEBRAIC(:,33) - ALGEBRAIC(:,34)) - ALGEBRAIC(:,41);
ALGEBRAIC(:,12) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,45).*STATES(:,8));
ALGEBRAIC(:,37) = CONSTANTS(:,6).*(exp((ALGEBRAIC(:,12)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,13)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,15) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,48).*STATES(:,11));
ALGEBRAIC(:,38) = CONSTANTS(:,7).*(exp((ALGEBRAIC(:,13)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,15)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,9) = (ALGEBRAIC(:,37) - ALGEBRAIC(:,38))+ALGEBRAIC(:,41);
ALGEBRAIC(:,10) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,43).*STATES(:,6));
ALGEBRAIC(:,36) = CONSTANTS(:,5).*(exp(ALGEBRAIC(:,10)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,8)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,42) = CONSTANTS(:,11).*(exp(ALGEBRAIC(:,12)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,8)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,4) = - ALGEBRAIC(:,33)+ALGEBRAIC(:,36)+ALGEBRAIC(:,42);
ALGEBRAIC(:,40) = CONSTANTS(:,9).*(exp(ALGEBRAIC(:,14)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,12)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,8) = ( - ALGEBRAIC(:,37)+ALGEBRAIC(:,40)) - ALGEBRAIC(:,42);
ALGEBRAIC(:,35) = CONSTANTS(:,4).*(exp(ALGEBRAIC(:,11)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,10)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,43) = CONSTANTS(:,12).*(exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,15)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,7) = (ALGEBRAIC(:,34) - ALGEBRAIC(:,35)) - ALGEBRAIC(:,43);
ALGEBRAIC(:,39) = CONSTANTS(:,8).*(exp(ALGEBRAIC(:,15)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,14)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,11) = (ALGEBRAIC(:,38) - ALGEBRAIC(:,39))+ALGEBRAIC(:,43);
ALGEBRAIC(:,44) = CONSTANTS(:,13).*(exp(ALGEBRAIC(:,14)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,10)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,6) = (ALGEBRAIC(:,35) - ALGEBRAIC(:,36))+ALGEBRAIC(:,44);
RATES(:,10) = (ALGEBRAIC(:,39) - ALGEBRAIC(:,40)) - ALGEBRAIC(:,44);
ALGEBRAIC(:,16) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,49).*STATES(:,12));
ALGEBRAIC(:,17) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,50).*STATES(:,13));
ALGEBRAIC(:,45) = CONSTANTS(:,14).*(exp((ALGEBRAIC(:,16)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,17)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,19) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,52).*STATES(:,15));
ALGEBRAIC(:,46) = CONSTANTS(:,15).*(exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,19)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,21) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,54).*STATES(:,17));
ALGEBRAIC(:,53) = CONSTANTS(:,22).*(exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,21)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,13) = (ALGEBRAIC(:,45) - ALGEBRAIC(:,46)) - ALGEBRAIC(:,53);
ALGEBRAIC(:,20) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,53).*STATES(:,16));
ALGEBRAIC(:,49) = CONSTANTS(:,18).*(exp((ALGEBRAIC(:,20)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,21)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,23) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,56).*STATES(:,19));
ALGEBRAIC(:,50) = CONSTANTS(:,19).*(exp((ALGEBRAIC(:,21)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,23)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,17) = (ALGEBRAIC(:,49) - ALGEBRAIC(:,50))+ALGEBRAIC(:,53);
ALGEBRAIC(:,18) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,51).*STATES(:,14));
ALGEBRAIC(:,48) = CONSTANTS(:,17).*(exp(ALGEBRAIC(:,18)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,16)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,54) = CONSTANTS(:,23).*(exp(ALGEBRAIC(:,20)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,16)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,12) = - ALGEBRAIC(:,45)+ALGEBRAIC(:,48)+ALGEBRAIC(:,54);
ALGEBRAIC(:,52) = CONSTANTS(:,21).*(exp(ALGEBRAIC(:,22)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,20)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,16) = ( - ALGEBRAIC(:,49)+ALGEBRAIC(:,52)) - ALGEBRAIC(:,54);
ALGEBRAIC(:,47) = CONSTANTS(:,16).*(exp(ALGEBRAIC(:,19)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,18)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,55) = CONSTANTS(:,24).*(exp((ALGEBRAIC(:,19)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,23)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,15) = (ALGEBRAIC(:,46) - ALGEBRAIC(:,47)) - ALGEBRAIC(:,55);
ALGEBRAIC(:,51) = CONSTANTS(:,20).*(exp(ALGEBRAIC(:,23)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,22)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,19) = (ALGEBRAIC(:,50) - ALGEBRAIC(:,51))+ALGEBRAIC(:,55);
ALGEBRAIC(:,56) = CONSTANTS(:,25).*(exp(ALGEBRAIC(:,22)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,18)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,14) = (ALGEBRAIC(:,47) - ALGEBRAIC(:,48))+ALGEBRAIC(:,56);
RATES(:,18) = (ALGEBRAIC(:,51) - ALGEBRAIC(:,52)) - ALGEBRAIC(:,56);
ALGEBRAIC(:,24) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,57).*STATES(:,20));
ALGEBRAIC(:,25) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,58).*STATES(:,21));
ALGEBRAIC(:,57) = CONSTANTS(:,26).*(exp((ALGEBRAIC(:,24)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,25)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,27) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,60).*STATES(:,23));
ALGEBRAIC(:,58) = CONSTANTS(:,27).*(exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,27)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,26) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,59).*STATES(:,22));
ALGEBRAIC(:,59) = CONSTANTS(:,28).*(exp(ALGEBRAIC(:,27)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,26)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,60) = CONSTANTS(:,29).*(exp(ALGEBRAIC(:,26)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,24)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,28) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,61).*STATES(:,24));
ALGEBRAIC(:,29) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,62).*STATES(:,25));
ALGEBRAIC(:,61) = CONSTANTS(:,30).*(exp((ALGEBRAIC(:,28)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,29)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,31) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,64).*STATES(:,27));
ALGEBRAIC(:,62) = CONSTANTS(:,31).*(exp((ALGEBRAIC(:,29)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,31)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,63) = CONSTANTS(:,32).*(exp(ALGEBRAIC(:,31)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,30)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,64) = CONSTANTS(:,33).*(exp(ALGEBRAIC(:,30)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,28)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,1) = (((((((((((((((((ALGEBRAIC(:,32) - ALGEBRAIC(:,33)) - ALGEBRAIC(:,34))+ALGEBRAIC(:,35)+ALGEBRAIC(:,36)) - ALGEBRAIC(:,37)) - ALGEBRAIC(:,38))+ALGEBRAIC(:,39)+ALGEBRAIC(:,40)) - ALGEBRAIC(:,45)) - ALGEBRAIC(:,46))+ALGEBRAIC(:,47)+ALGEBRAIC(:,48)) - ALGEBRAIC(:,49)) - ALGEBRAIC(:,50))+ALGEBRAIC(:,51)+ALGEBRAIC(:,52)) - ALGEBRAIC(:,57)) - ALGEBRAIC(:,58))+ALGEBRAIC(:,59)+ALGEBRAIC(:,60)) - ALGEBRAIC(:,61)) - ALGEBRAIC(:,62))+ALGEBRAIC(:,63)+ALGEBRAIC(:,64);
ALGEBRAIC(:,65) = CONSTANTS(:,34).*(exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,29)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,21) = (ALGEBRAIC(:,57) - ALGEBRAIC(:,58)) - ALGEBRAIC(:,65);
RATES(:,25) = (ALGEBRAIC(:,61) - ALGEBRAIC(:,62))+ALGEBRAIC(:,65);
ALGEBRAIC(:,66) = CONSTANTS(:,35).*(exp(ALGEBRAIC(:,28)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,24)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,20) = - ALGEBRAIC(:,57)+ALGEBRAIC(:,60)+ALGEBRAIC(:,66);
RATES(:,24) = ( - ALGEBRAIC(:,61)+ALGEBRAIC(:,64)) - ALGEBRAIC(:,66);
ALGEBRAIC(:,67) = CONSTANTS(:,36).*(exp((ALGEBRAIC(:,27)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,31)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,23) = (ALGEBRAIC(:,58) - ALGEBRAIC(:,59)) - ALGEBRAIC(:,67);
RATES(:,27) = (ALGEBRAIC(:,62) - ALGEBRAIC(:,63))+ALGEBRAIC(:,67);
ALGEBRAIC(:,2) = piecewise({VOI>0.0600000&VOI<0.0700000, 100.000 , VOI>0.0900000&VOI<0.100000, - 100.000 }, 0.00000);
ALGEBRAIC(:,68) = CONSTANTS(:,37).*(exp(ALGEBRAIC(:,30)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,26)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
RATES(:,3) = (((((((((( - ALGEBRAIC(:,41)+ALGEBRAIC(:,42)) - ALGEBRAIC(:,43))+ALGEBRAIC(:,44)) - ALGEBRAIC(:,53))+ALGEBRAIC(:,54)) - ALGEBRAIC(:,55))+ALGEBRAIC(:,56)) - ALGEBRAIC(:,65))+ALGEBRAIC(:,66)) - ALGEBRAIC(:,67))+ALGEBRAIC(:,68)+ALGEBRAIC(:,2);
RATES(:,22) = (ALGEBRAIC(:,59) - ALGEBRAIC(:,60))+ALGEBRAIC(:,68);
RATES(:,26) = (ALGEBRAIC(:,63) - ALGEBRAIC(:,64)) - ALGEBRAIC(:,68);
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(:,4) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,38).*STATES(:,1));
ALGEBRAIC(:,5) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,39).*STATES(:,2));
ALGEBRAIC(:,14) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,47).*STATES(:,10));
ALGEBRAIC(:,22) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,55).*STATES(:,18));
ALGEBRAIC(:,30) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,63).*STATES(:,26));
ALGEBRAIC(:,32) = CONSTANTS(:,1).*(exp((ALGEBRAIC(:,5)+ALGEBRAIC(:,14)+ALGEBRAIC(:,22)+ALGEBRAIC(:,30))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,4)+ALGEBRAIC(:,14)+ALGEBRAIC(:,22)+ALGEBRAIC(:,30))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,8) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,41).*STATES(:,4));
ALGEBRAIC(:,9) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,42).*STATES(:,5));
ALGEBRAIC(:,33) = CONSTANTS(:,2).*(exp((ALGEBRAIC(:,8)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,9)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,11) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,44).*STATES(:,7));
ALGEBRAIC(:,34) = CONSTANTS(:,3).*(exp((ALGEBRAIC(:,9)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,11)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,6) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,40).*STATES(:,3));
ALGEBRAIC(:,13) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,46).*STATES(:,9));
ALGEBRAIC(:,41) = CONSTANTS(:,10).*(exp((ALGEBRAIC(:,9)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,13)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,12) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,45).*STATES(:,8));
ALGEBRAIC(:,37) = CONSTANTS(:,6).*(exp((ALGEBRAIC(:,12)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,13)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,15) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,48).*STATES(:,11));
ALGEBRAIC(:,38) = CONSTANTS(:,7).*(exp((ALGEBRAIC(:,13)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,15)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,10) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,43).*STATES(:,6));
ALGEBRAIC(:,36) = CONSTANTS(:,5).*(exp(ALGEBRAIC(:,10)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,8)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,42) = CONSTANTS(:,11).*(exp(ALGEBRAIC(:,12)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,8)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,40) = CONSTANTS(:,9).*(exp(ALGEBRAIC(:,14)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,12)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,35) = CONSTANTS(:,4).*(exp(ALGEBRAIC(:,11)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,10)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,43) = CONSTANTS(:,12).*(exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,15)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,39) = CONSTANTS(:,8).*(exp(ALGEBRAIC(:,15)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,14)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,44) = CONSTANTS(:,13).*(exp(ALGEBRAIC(:,14)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,10)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,16) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,49).*STATES(:,12));
ALGEBRAIC(:,17) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,50).*STATES(:,13));
ALGEBRAIC(:,45) = CONSTANTS(:,14).*(exp((ALGEBRAIC(:,16)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,17)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,19) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,52).*STATES(:,15));
ALGEBRAIC(:,46) = CONSTANTS(:,15).*(exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,19)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,21) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,54).*STATES(:,17));
ALGEBRAIC(:,53) = CONSTANTS(:,22).*(exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,21)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,20) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,53).*STATES(:,16));
ALGEBRAIC(:,49) = CONSTANTS(:,18).*(exp((ALGEBRAIC(:,20)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,21)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,23) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,56).*STATES(:,19));
ALGEBRAIC(:,50) = CONSTANTS(:,19).*(exp((ALGEBRAIC(:,21)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,23)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,18) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,51).*STATES(:,14));
ALGEBRAIC(:,48) = CONSTANTS(:,17).*(exp(ALGEBRAIC(:,18)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,16)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,54) = CONSTANTS(:,23).*(exp(ALGEBRAIC(:,20)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,16)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,52) = CONSTANTS(:,21).*(exp(ALGEBRAIC(:,22)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,20)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,47) = CONSTANTS(:,16).*(exp(ALGEBRAIC(:,19)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,18)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,55) = CONSTANTS(:,24).*(exp((ALGEBRAIC(:,19)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,23)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,51) = CONSTANTS(:,20).*(exp(ALGEBRAIC(:,23)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,22)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,56) = CONSTANTS(:,25).*(exp(ALGEBRAIC(:,22)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,18)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,24) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,57).*STATES(:,20));
ALGEBRAIC(:,25) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,58).*STATES(:,21));
ALGEBRAIC(:,57) = CONSTANTS(:,26).*(exp((ALGEBRAIC(:,24)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,25)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,27) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,60).*STATES(:,23));
ALGEBRAIC(:,58) = CONSTANTS(:,27).*(exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,27)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,26) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,59).*STATES(:,22));
ALGEBRAIC(:,59) = CONSTANTS(:,28).*(exp(ALGEBRAIC(:,27)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,26)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,60) = CONSTANTS(:,29).*(exp(ALGEBRAIC(:,26)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,24)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,28) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,61).*STATES(:,24));
ALGEBRAIC(:,29) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,62).*STATES(:,25));
ALGEBRAIC(:,61) = CONSTANTS(:,30).*(exp((ALGEBRAIC(:,28)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,29)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,31) = CONSTANTS(:,65).*CONSTANTS(:,66).*log( CONSTANTS(:,64).*STATES(:,27));
ALGEBRAIC(:,62) = CONSTANTS(:,31).*(exp((ALGEBRAIC(:,29)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,31)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,63) = CONSTANTS(:,32).*(exp(ALGEBRAIC(:,31)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,30)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,64) = CONSTANTS(:,33).*(exp(ALGEBRAIC(:,30)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,28)+ALGEBRAIC(:,4))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,65) = CONSTANTS(:,34).*(exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,29)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,66) = CONSTANTS(:,35).*(exp(ALGEBRAIC(:,28)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,24)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,67) = CONSTANTS(:,36).*(exp((ALGEBRAIC(:,27)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,31)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,2) = piecewise({VOI>0.0600000&VOI<0.0700000, 100.000 , VOI>0.0900000&VOI<0.100000, - 100.000 }, 0.00000);
ALGEBRAIC(:,68) = CONSTANTS(:,37).*(exp(ALGEBRAIC(:,30)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp((ALGEBRAIC(:,26)+ALGEBRAIC(:,6))./( CONSTANTS(:,65).*CONSTANTS(:,66))));
ALGEBRAIC(:,1) = STATES(:,5)+STATES(:,9)+STATES(:,7)+STATES(:,11)+STATES(:,6)+STATES(:,7)+STATES(:,10)+STATES(:,11)+STATES(:,13)+STATES(:,17)+STATES(:,15)+STATES(:,19)+STATES(:,14)+STATES(:,15)+STATES(:,18)+STATES(:,19)+STATES(:,21)+STATES(:,25)+STATES(:,23)+STATES(:,27)+STATES(:,22)+STATES(:,23)+STATES(:,26)+STATES(:,27);
ALGEBRAIC(:,3) = STATES(:,1)+STATES(:,2)+ALGEBRAIC(:,1);
ALGEBRAIC(:,7) = CONSTANTS(:,1).*(exp(ALGEBRAIC(:,5)./( CONSTANTS(:,65).*CONSTANTS(:,66))) - exp(ALGEBRAIC(:,4)./( CONSTANTS(:,65).*CONSTANTS(:,66))));
end
% Compute result of a piecewise function
function x = piecewise(cases, default)
set = [0];
for i = 1:2:length(cases)
if (length(cases{i+1}) == 1)
x(cases{i} & ~set,:) = cases{i+1};
else
x(cases{i} & ~set,:) = cases{i+1}(cases{i} & ~set);
end
set = set | cases{i};
if(set), break, end
end
if (length(default) == 1)
x(~set,:) = default;
else
x(~set,:) = default(~set);
end
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