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 =52;
end
% There are a total of 18 entries in each of the rate and state variable arrays.
% There are a total of 52 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_CONSTANTS(:,1) = strpad('q_ATP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,2) = strpad('q_AC_init in component environment (fmol)');
LEGEND_CONSTANTS(:,3) = strpad('q_cAMP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,4) = strpad('q_AC_ATP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,5) = strpad('q_FSK_init in component environment (fmol)');
LEGEND_CONSTANTS(:,6) = strpad('q_FSK_AC_init in component environment (fmol)');
LEGEND_CONSTANTS(:,7) = strpad('q_FSK_AC_ATP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,8) = strpad('q_Gsa_GTP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,9) = strpad('q_Gsa_GTP_AC_init in component environment (fmol)');
LEGEND_CONSTANTS(:,10) = strpad('q_Gsa_GTP_AC_ATP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,11) = strpad('q_PDE_init in component environment (fmol)');
LEGEND_CONSTANTS(:,12) = strpad('q_PDEinh_init in component environment (fmol)');
LEGEND_CONSTANTS(:,13) = strpad('q_PDE_cAMP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,14) = strpad('q_IBMX_init in component environment (fmol)');
LEGEND_CONSTANTS(:,15) = strpad('q_five_AMP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,16) = strpad('q_Gia_GTP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,17) = strpad('q_ACinh_init in component environment (fmol)');
LEGEND_CONSTANTS(:,18) = strpad('q_PPi_init in component environment (fmol)');
LEGEND_ALGEBRAIC(:,9) = strpad('ATP_T in component cAMP (fmol)');
LEGEND_ALGEBRAIC(:,10) = strpad('AC_T in component cAMP (fmol)');
LEGEND_ALGEBRAIC(:,18) = strpad('Gs_T in component cAMP (fmol)');
LEGEND_ALGEBRAIC(:,13) = strpad('cAMP_T in component cAMP (fmol)');
LEGEND_ALGEBRAIC(:,1) = strpad('q_ATP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,2) = strpad('q_cAMP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,3) = strpad('q_AC in component environment (fmol)');
LEGEND_ALGEBRAIC(:,4) = strpad('q_AC_ATP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,5) = strpad('q_Gsa_GTP_AC in component environment (fmol)');
LEGEND_ALGEBRAIC(:,6) = strpad('q_Gsa_GTP_AC_ATP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,7) = strpad('q_FSK_AC in component environment (fmol)');
LEGEND_ALGEBRAIC(:,8) = strpad('q_FSK_AC_ATP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,11) = strpad('q_PDE in component environment (fmol)');
LEGEND_ALGEBRAIC(:,12) = strpad('q_PDE_cAMP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,14) = strpad('q_five_AMP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,15) = strpad('q_IBMX in component environment (fmol)');
LEGEND_ALGEBRAIC(:,16) = strpad('q_PDEinh in component environment (fmol)');
LEGEND_ALGEBRAIC(:,17) = strpad('q_Gsa_GTP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,19) = strpad('q_FSK in component environment (fmol)');
LEGEND_ALGEBRAIC(:,20) = strpad('q_Gia_GTP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,21) = strpad('q_ACinh in component environment (fmol)');
LEGEND_ALGEBRAIC(:,22) = strpad('q_PPi in component environment (fmol)');
LEGEND_STATES(:,1) = strpad('q_ATP in component cAMP (fmol)');
LEGEND_STATES(:,2) = strpad('q_cAMP in component cAMP (fmol)');
LEGEND_STATES(:,3) = strpad('q_AC in component cAMP (fmol)');
LEGEND_STATES(:,4) = strpad('q_AC_ATP in component cAMP (fmol)');
LEGEND_STATES(:,5) = strpad('q_Gsa_GTP_AC in component cAMP (fmol)');
LEGEND_STATES(:,6) = strpad('q_Gsa_GTP_AC_ATP in component cAMP (fmol)');
LEGEND_STATES(:,7) = strpad('q_FSK_AC in component cAMP (fmol)');
LEGEND_STATES(:,8) = strpad('q_FSK_AC_ATP in component cAMP (fmol)');
LEGEND_STATES(:,9) = strpad('q_PDE in component cAMP (fmol)');
LEGEND_STATES(:,10) = strpad('q_PDE_cAMP in component cAMP (fmol)');
LEGEND_STATES(:,11) = strpad('q_five_AMP in component cAMP (fmol)');
LEGEND_STATES(:,12) = strpad('q_IBMX in component cAMP (fmol)');
LEGEND_STATES(:,13) = strpad('q_PDEinh in component cAMP (fmol)');
LEGEND_STATES(:,14) = strpad('q_Gsa_GTP in component cAMP (fmol)');
LEGEND_STATES(:,15) = strpad('q_FSK in component cAMP (fmol)');
LEGEND_STATES(:,16) = strpad('q_Gia_GTP in component cAMP (fmol)');
LEGEND_STATES(:,17) = strpad('q_ACinh in component cAMP (fmol)');
LEGEND_STATES(:,18) = strpad('q_PPi in component cAMP (fmol)');
LEGEND_CONSTANTS(:,19) = strpad('kappa_1a in component cAMP_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,20) = strpad('kappa_1b in component cAMP_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,21) = strpad('kappa_2a in component cAMP_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,22) = strpad('kappa_2b in component cAMP_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,23) = strpad('kappa_3a in component cAMP_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,24) = strpad('kappa_3b in component cAMP_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,25) = strpad('kappa_4a in component cAMP_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,26) = strpad('kappa_4b in component cAMP_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,27) = strpad('kappa_5 in component cAMP_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,28) = strpad('kappa_6 in component cAMP_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,29) = strpad('kappa_7 in component cAMP_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,30) = strpad('kappa_GiAC in component cAMP_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,31) = strpad('K_ATP in component cAMP_parameters (per_fmol)');
LEGEND_CONSTANTS(:,32) = strpad('K_cAMP in component cAMP_parameters (per_fmol)');
LEGEND_CONSTANTS(:,33) = strpad('K_AC in component cAMP_parameters (per_fmol)');
LEGEND_CONSTANTS(:,34) = strpad('K_AC_ATP in component cAMP_parameters (per_fmol)');
LEGEND_CONSTANTS(:,35) = strpad('K_Gsa_GTP_AC in component cAMP_parameters (per_fmol)');
LEGEND_CONSTANTS(:,36) = strpad('K_Gsa_GTP_AC_ATP in component cAMP_parameters (per_fmol)');
LEGEND_CONSTANTS(:,37) = strpad('K_FSK_AC in component cAMP_parameters (per_fmol)');
LEGEND_CONSTANTS(:,38) = strpad('K_FSK_AC_ATP in component cAMP_parameters (per_fmol)');
LEGEND_CONSTANTS(:,39) = strpad('K_PDE in component cAMP_parameters (per_fmol)');
LEGEND_CONSTANTS(:,40) = strpad('K_PDE_cAMP in component cAMP_parameters (per_fmol)');
LEGEND_CONSTANTS(:,41) = strpad('K_five_AMP in component cAMP_parameters (per_fmol)');
LEGEND_CONSTANTS(:,42) = strpad('K_IBMX in component cAMP_parameters (per_fmol)');
LEGEND_CONSTANTS(:,43) = strpad('K_PDEinh in component cAMP_parameters (per_fmol)');
LEGEND_CONSTANTS(:,44) = strpad('K_Gsa_GTP in component cAMP_parameters (per_fmol)');
LEGEND_CONSTANTS(:,45) = strpad('K_FSK in component cAMP_parameters (per_fmol)');
LEGEND_CONSTANTS(:,46) = strpad('K_Gia_GTP in component cAMP_parameters (per_fmol)');
LEGEND_CONSTANTS(:,47) = strpad('K_ACinh in component cAMP_parameters (per_fmol)');
LEGEND_CONSTANTS(:,48) = strpad('K_PPi in component cAMP_parameters (per_fmol)');
LEGEND_CONSTANTS(:,49) = strpad('R in component constants (J_per_K_per_mol)');
LEGEND_CONSTANTS(:,50) = strpad('T in component constants (kelvin)');
LEGEND_ALGEBRAIC(:,41) = strpad('v1a in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,42) = strpad('v1b in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,43) = strpad('v2a in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,44) = strpad('v2b in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,45) = strpad('v3a in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,46) = strpad('v3b in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,47) = strpad('v4a in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,49) = strpad('v4b in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,51) = strpad('v5 in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,48) = strpad('v6 in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,50) = strpad('v7 in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,52) = strpad('vGiAC in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,23) = strpad('mu_ATP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,25) = strpad('mu_AC in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,24) = strpad('mu_cAMP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,26) = strpad('mu_AC_ATP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,37) = strpad('mu_FSK in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,29) = strpad('mu_FSK_AC in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,30) = strpad('mu_FSK_AC_ATP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,36) = strpad('mu_Gsa_GTP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,27) = strpad('mu_Gsa_GTP_AC in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,28) = strpad('mu_Gsa_GTP_AC_ATP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,31) = strpad('mu_PDE in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,35) = strpad('mu_PDEinh in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,32) = strpad('mu_PDE_cAMP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,34) = strpad('mu_IBMX in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,33) = strpad('mu_five_AMP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,38) = strpad('mu_Gia_GTP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,39) = strpad('mu_ACinh in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,40) = strpad('mu_PPi in component cAMP (J_per_mol)');
LEGEND_CONSTANTS(:,51) = strpad('vol in component cAMP (pL)');
LEGEND_CONSTANTS(:,52) = strpad('F in component constants (C_per_mol)');
LEGEND_RATES(:,1) = strpad('d/dt q_ATP in component cAMP (fmol)');
LEGEND_RATES(:,3) = strpad('d/dt q_AC in component cAMP (fmol)');
LEGEND_RATES(:,4) = strpad('d/dt q_AC_ATP in component cAMP (fmol)');
LEGEND_RATES(:,2) = strpad('d/dt q_cAMP in component cAMP (fmol)');
LEGEND_RATES(:,15) = strpad('d/dt q_FSK in component cAMP (fmol)');
LEGEND_RATES(:,7) = strpad('d/dt q_FSK_AC in component cAMP (fmol)');
LEGEND_RATES(:,8) = strpad('d/dt q_FSK_AC_ATP in component cAMP (fmol)');
LEGEND_RATES(:,14) = strpad('d/dt q_Gsa_GTP in component cAMP (fmol)');
LEGEND_RATES(:,5) = strpad('d/dt q_Gsa_GTP_AC in component cAMP (fmol)');
LEGEND_RATES(:,6) = strpad('d/dt q_Gsa_GTP_AC_ATP in component cAMP (fmol)');
LEGEND_RATES(:,10) = strpad('d/dt q_PDE_cAMP in component cAMP (fmol)');
LEGEND_RATES(:,9) = strpad('d/dt q_PDE in component cAMP (fmol)');
LEGEND_RATES(:,12) = strpad('d/dt q_IBMX in component cAMP (fmol)');
LEGEND_RATES(:,13) = strpad('d/dt q_PDEinh in component cAMP (fmol)');
LEGEND_RATES(:,11) = strpad('d/dt q_five_AMP in component cAMP (fmol)');
LEGEND_RATES(:,16) = strpad('d/dt q_Gia_GTP in component cAMP (fmol)');
LEGEND_RATES(:,17) = strpad('d/dt q_ACinh in component cAMP (fmol)');
LEGEND_RATES(:,18) = strpad('d/dt q_PPi in component cAMP (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) = 190;
CONSTANTS(:,2) = 1.889E-03;
CONSTANTS(:,3) = 3.212E-02;
CONSTANTS(:,4) = 1e-18;
CONSTANTS(:,5) = 3.8e-5;
CONSTANTS(:,6) = 1e-18;
CONSTANTS(:,7) = 1e-18;
CONSTANTS(:,8) = 9.519E-04;
CONSTANTS(:,9) = 1e-18;
CONSTANTS(:,10) = 1e-18;
CONSTANTS(:,11) = 1.482E-03;
CONSTANTS(:,12) = 1e-18;
CONSTANTS(:,13) = 1e-18;
CONSTANTS(:,14) = 3.80E-06;
CONSTANTS(:,15) = 1e-18;
CONSTANTS(:,16) = 4.81E-04;
CONSTANTS(:,17) = 1e-18;
CONSTANTS(:,18) = 1e-18;
STATES(:,1) = 1e-16;
STATES(:,2) = 1e-16;
STATES(:,3) = 1e-16;
STATES(:,4) = 1e-16;
STATES(:,5) = 1e-16;
STATES(:,6) = 1e-16;
STATES(:,7) = 1e-16;
STATES(:,8) = 1e-16;
STATES(:,9) = 1e-16;
STATES(:,10) = 1e-16;
STATES(:,11) = 1e-16;
STATES(:,12) = 1e-16;
STATES(:,13) = 1e-16;
STATES(:,14) = 1e-16;
STATES(:,15) = 1e-16;
STATES(:,16) = 1e-16;
STATES(:,17) = 1e-16;
STATES(:,18) = 1e-16;
CONSTANTS(:,19) = 9.47329e+06;
CONSTANTS(:,20) = 0.00197793;
CONSTANTS(:,21) = 176000;
CONSTANTS(:,22) = 0.047492;
CONSTANTS(:,23) = 5.07667e+08;
CONSTANTS(:,24) = 5.9031e-17;
CONSTANTS(:,25) = 36084.5;
CONSTANTS(:,26) = 0.138787;
CONSTANTS(:,27) = 751.564;
CONSTANTS(:,28) = 556.617;
CONSTANTS(:,29) = 160555;
CONSTANTS(:,30) = 685.521;
CONSTANTS(:,31) = 9.19362e-06;
CONSTANTS(:,32) = 0.0102598;
CONSTANTS(:,33) = 9.02358;
CONSTANTS(:,34) = 2.93942;
CONSTANTS(:,35) = 52.2258;
CONSTANTS(:,36) = 5.20284;
CONSTANTS(:,37) = 0.181058;
CONSTANTS(:,38) = 0.0492449;
CONSTANTS(:,39) = 2.28256;
CONSTANTS(:,40) = 1.04728;
CONSTANTS(:,41) = 0.0102598;
CONSTANTS(:,42) = 0.01642;
CONSTANTS(:,43) = 38.679;
CONSTANTS(:,44) = 0.420618;
CONSTANTS(:,45) = 1.32565e-05;
CONSTANTS(:,46) = 0.013661;
CONSTANTS(:,47) = 42.4053;
CONSTANTS(:,48) = 2.60488e-05;
CONSTANTS(:,49) = 8.31;
CONSTANTS(:,50) = 310;
CONSTANTS(:,51) = 38.0;
CONSTANTS(:,52) = 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(:,1) = STATES(:,1)+CONSTANTS(:,1);
ALGEBRAIC(:,23) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,31).*ALGEBRAIC(:,1));
ALGEBRAIC(:,3) = STATES(:,3)+CONSTANTS(:,2);
ALGEBRAIC(:,25) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,33).*ALGEBRAIC(:,3));
ALGEBRAIC(:,4) = STATES(:,4)+CONSTANTS(:,4);
ALGEBRAIC(:,26) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,34).*ALGEBRAIC(:,4));
ALGEBRAIC(:,41) = CONSTANTS(:,19).*(exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,23))./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp(ALGEBRAIC(:,26)./( CONSTANTS(:,49).*CONSTANTS(:,50))));
ALGEBRAIC(:,2) = STATES(:,2)+CONSTANTS(:,3);
ALGEBRAIC(:,24) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,32).*ALGEBRAIC(:,2));
ALGEBRAIC(:,22) = STATES(:,18)+CONSTANTS(:,18);
ALGEBRAIC(:,40) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,48).*ALGEBRAIC(:,22));
ALGEBRAIC(:,42) = CONSTANTS(:,20).*(exp(ALGEBRAIC(:,26)./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,24)+ALGEBRAIC(:,40))./( CONSTANTS(:,49).*CONSTANTS(:,50))));
RATES(:,4) = ALGEBRAIC(:,41) - ALGEBRAIC(:,42);
ALGEBRAIC(:,5) = STATES(:,5)+CONSTANTS(:,9);
ALGEBRAIC(:,27) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,35).*ALGEBRAIC(:,5));
ALGEBRAIC(:,6) = STATES(:,6)+CONSTANTS(:,10);
ALGEBRAIC(:,28) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,36).*ALGEBRAIC(:,6));
ALGEBRAIC(:,43) = CONSTANTS(:,21).*(exp((ALGEBRAIC(:,27)+ALGEBRAIC(:,23))./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp(ALGEBRAIC(:,28)./( CONSTANTS(:,49).*CONSTANTS(:,50))));
ALGEBRAIC(:,44) = CONSTANTS(:,22).*(exp(ALGEBRAIC(:,28)./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp((ALGEBRAIC(:,27)+ALGEBRAIC(:,24)+ALGEBRAIC(:,40))./( CONSTANTS(:,49).*CONSTANTS(:,50))));
RATES(:,6) = ALGEBRAIC(:,43) - ALGEBRAIC(:,44);
ALGEBRAIC(:,7) = STATES(:,7)+CONSTANTS(:,6);
ALGEBRAIC(:,29) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,37).*ALGEBRAIC(:,7));
ALGEBRAIC(:,8) = STATES(:,8)+CONSTANTS(:,7);
ALGEBRAIC(:,30) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,38).*ALGEBRAIC(:,8));
ALGEBRAIC(:,45) = CONSTANTS(:,23).*(exp((ALGEBRAIC(:,29)+ALGEBRAIC(:,23))./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp(ALGEBRAIC(:,30)./( CONSTANTS(:,49).*CONSTANTS(:,50))));
RATES(:,1) = ( - ALGEBRAIC(:,41) - ALGEBRAIC(:,45)) - ALGEBRAIC(:,43);
ALGEBRAIC(:,46) = CONSTANTS(:,24).*(exp(ALGEBRAIC(:,30)./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp((ALGEBRAIC(:,29)+ALGEBRAIC(:,24)+ALGEBRAIC(:,40))./( CONSTANTS(:,49).*CONSTANTS(:,50))));
RATES(:,8) = ALGEBRAIC(:,45) - ALGEBRAIC(:,46);
ALGEBRAIC(:,11) = STATES(:,9)+CONSTANTS(:,11);
ALGEBRAIC(:,31) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,39).*ALGEBRAIC(:,11));
ALGEBRAIC(:,12) = STATES(:,10)+CONSTANTS(:,13);
ALGEBRAIC(:,32) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,40).*ALGEBRAIC(:,12));
ALGEBRAIC(:,47) = CONSTANTS(:,25).*(exp((ALGEBRAIC(:,31)+ALGEBRAIC(:,24))./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp(ALGEBRAIC(:,32)./( CONSTANTS(:,49).*CONSTANTS(:,50))));
RATES(:,2) = (ALGEBRAIC(:,42)+ALGEBRAIC(:,46)+ALGEBRAIC(:,44)) - ALGEBRAIC(:,47);
ALGEBRAIC(:,17) = STATES(:,14)+CONSTANTS(:,8);
ALGEBRAIC(:,36) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,44).*ALGEBRAIC(:,17));
ALGEBRAIC(:,48) = CONSTANTS(:,28).*(exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,36))./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp(ALGEBRAIC(:,27)./( CONSTANTS(:,49).*CONSTANTS(:,50))));
RATES(:,14) = - ALGEBRAIC(:,48);
RATES(:,5) = (ALGEBRAIC(:,48) - ALGEBRAIC(:,43))+ALGEBRAIC(:,44);
ALGEBRAIC(:,19) = STATES(:,15)+CONSTANTS(:,5);
ALGEBRAIC(:,37) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,45).*ALGEBRAIC(:,19));
ALGEBRAIC(:,50) = CONSTANTS(:,29).*(exp((ALGEBRAIC(:,37)+ALGEBRAIC(:,25))./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp(ALGEBRAIC(:,29)./( CONSTANTS(:,49).*CONSTANTS(:,50))));
RATES(:,15) = - ALGEBRAIC(:,50);
RATES(:,7) = (ALGEBRAIC(:,50)+ALGEBRAIC(:,46)) - ALGEBRAIC(:,45);
ALGEBRAIC(:,14) = STATES(:,11)+CONSTANTS(:,15);
ALGEBRAIC(:,33) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,41).*ALGEBRAIC(:,14));
ALGEBRAIC(:,49) = CONSTANTS(:,26).*(exp(ALGEBRAIC(:,32)./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp((ALGEBRAIC(:,31)+ALGEBRAIC(:,33))./( CONSTANTS(:,49).*CONSTANTS(:,50))));
RATES(:,10) = ALGEBRAIC(:,47) - ALGEBRAIC(:,49);
RATES(:,11) = ALGEBRAIC(:,49);
ALGEBRAIC(:,20) = STATES(:,16)+CONSTANTS(:,16);
ALGEBRAIC(:,38) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,46).*ALGEBRAIC(:,20));
ALGEBRAIC(:,21) = STATES(:,17)+CONSTANTS(:,17);
ALGEBRAIC(:,39) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,47).*ALGEBRAIC(:,21));
ALGEBRAIC(:,52) = CONSTANTS(:,30).*(exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,38))./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp(ALGEBRAIC(:,39)./( CONSTANTS(:,49).*CONSTANTS(:,50))));
RATES(:,3) = (((ALGEBRAIC(:,42) - ALGEBRAIC(:,41)) - ALGEBRAIC(:,48)) - ALGEBRAIC(:,50)) - ALGEBRAIC(:,52);
ALGEBRAIC(:,16) = STATES(:,13)+CONSTANTS(:,12);
ALGEBRAIC(:,35) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,43).*ALGEBRAIC(:,16));
ALGEBRAIC(:,15) = STATES(:,12)+CONSTANTS(:,14);
ALGEBRAIC(:,34) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,42).*ALGEBRAIC(:,15));
ALGEBRAIC(:,51) = CONSTANTS(:,27).*(exp((ALGEBRAIC(:,31)+ALGEBRAIC(:,34))./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp(ALGEBRAIC(:,35)./( CONSTANTS(:,49).*CONSTANTS(:,50))));
RATES(:,9) = (ALGEBRAIC(:,49) - ALGEBRAIC(:,47)) - ALGEBRAIC(:,51);
RATES(:,12) = - ALGEBRAIC(:,51);
RATES(:,13) = ALGEBRAIC(:,51);
RATES(:,16) = - ALGEBRAIC(:,52);
RATES(:,17) = ALGEBRAIC(:,52);
RATES(:,18) = ALGEBRAIC(:,52);
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(:,1) = STATES(:,1)+CONSTANTS(:,1);
ALGEBRAIC(:,23) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,31).*ALGEBRAIC(:,1));
ALGEBRAIC(:,3) = STATES(:,3)+CONSTANTS(:,2);
ALGEBRAIC(:,25) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,33).*ALGEBRAIC(:,3));
ALGEBRAIC(:,4) = STATES(:,4)+CONSTANTS(:,4);
ALGEBRAIC(:,26) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,34).*ALGEBRAIC(:,4));
ALGEBRAIC(:,41) = CONSTANTS(:,19).*(exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,23))./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp(ALGEBRAIC(:,26)./( CONSTANTS(:,49).*CONSTANTS(:,50))));
ALGEBRAIC(:,2) = STATES(:,2)+CONSTANTS(:,3);
ALGEBRAIC(:,24) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,32).*ALGEBRAIC(:,2));
ALGEBRAIC(:,22) = STATES(:,18)+CONSTANTS(:,18);
ALGEBRAIC(:,40) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,48).*ALGEBRAIC(:,22));
ALGEBRAIC(:,42) = CONSTANTS(:,20).*(exp(ALGEBRAIC(:,26)./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,24)+ALGEBRAIC(:,40))./( CONSTANTS(:,49).*CONSTANTS(:,50))));
ALGEBRAIC(:,5) = STATES(:,5)+CONSTANTS(:,9);
ALGEBRAIC(:,27) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,35).*ALGEBRAIC(:,5));
ALGEBRAIC(:,6) = STATES(:,6)+CONSTANTS(:,10);
ALGEBRAIC(:,28) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,36).*ALGEBRAIC(:,6));
ALGEBRAIC(:,43) = CONSTANTS(:,21).*(exp((ALGEBRAIC(:,27)+ALGEBRAIC(:,23))./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp(ALGEBRAIC(:,28)./( CONSTANTS(:,49).*CONSTANTS(:,50))));
ALGEBRAIC(:,44) = CONSTANTS(:,22).*(exp(ALGEBRAIC(:,28)./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp((ALGEBRAIC(:,27)+ALGEBRAIC(:,24)+ALGEBRAIC(:,40))./( CONSTANTS(:,49).*CONSTANTS(:,50))));
ALGEBRAIC(:,7) = STATES(:,7)+CONSTANTS(:,6);
ALGEBRAIC(:,29) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,37).*ALGEBRAIC(:,7));
ALGEBRAIC(:,8) = STATES(:,8)+CONSTANTS(:,7);
ALGEBRAIC(:,30) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,38).*ALGEBRAIC(:,8));
ALGEBRAIC(:,45) = CONSTANTS(:,23).*(exp((ALGEBRAIC(:,29)+ALGEBRAIC(:,23))./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp(ALGEBRAIC(:,30)./( CONSTANTS(:,49).*CONSTANTS(:,50))));
ALGEBRAIC(:,46) = CONSTANTS(:,24).*(exp(ALGEBRAIC(:,30)./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp((ALGEBRAIC(:,29)+ALGEBRAIC(:,24)+ALGEBRAIC(:,40))./( CONSTANTS(:,49).*CONSTANTS(:,50))));
ALGEBRAIC(:,11) = STATES(:,9)+CONSTANTS(:,11);
ALGEBRAIC(:,31) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,39).*ALGEBRAIC(:,11));
ALGEBRAIC(:,12) = STATES(:,10)+CONSTANTS(:,13);
ALGEBRAIC(:,32) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,40).*ALGEBRAIC(:,12));
ALGEBRAIC(:,47) = CONSTANTS(:,25).*(exp((ALGEBRAIC(:,31)+ALGEBRAIC(:,24))./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp(ALGEBRAIC(:,32)./( CONSTANTS(:,49).*CONSTANTS(:,50))));
ALGEBRAIC(:,17) = STATES(:,14)+CONSTANTS(:,8);
ALGEBRAIC(:,36) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,44).*ALGEBRAIC(:,17));
ALGEBRAIC(:,48) = CONSTANTS(:,28).*(exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,36))./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp(ALGEBRAIC(:,27)./( CONSTANTS(:,49).*CONSTANTS(:,50))));
ALGEBRAIC(:,19) = STATES(:,15)+CONSTANTS(:,5);
ALGEBRAIC(:,37) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,45).*ALGEBRAIC(:,19));
ALGEBRAIC(:,50) = CONSTANTS(:,29).*(exp((ALGEBRAIC(:,37)+ALGEBRAIC(:,25))./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp(ALGEBRAIC(:,29)./( CONSTANTS(:,49).*CONSTANTS(:,50))));
ALGEBRAIC(:,14) = STATES(:,11)+CONSTANTS(:,15);
ALGEBRAIC(:,33) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,41).*ALGEBRAIC(:,14));
ALGEBRAIC(:,49) = CONSTANTS(:,26).*(exp(ALGEBRAIC(:,32)./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp((ALGEBRAIC(:,31)+ALGEBRAIC(:,33))./( CONSTANTS(:,49).*CONSTANTS(:,50))));
ALGEBRAIC(:,20) = STATES(:,16)+CONSTANTS(:,16);
ALGEBRAIC(:,38) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,46).*ALGEBRAIC(:,20));
ALGEBRAIC(:,21) = STATES(:,17)+CONSTANTS(:,17);
ALGEBRAIC(:,39) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,47).*ALGEBRAIC(:,21));
ALGEBRAIC(:,52) = CONSTANTS(:,30).*(exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,38))./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp(ALGEBRAIC(:,39)./( CONSTANTS(:,49).*CONSTANTS(:,50))));
ALGEBRAIC(:,16) = STATES(:,13)+CONSTANTS(:,12);
ALGEBRAIC(:,35) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,43).*ALGEBRAIC(:,16));
ALGEBRAIC(:,15) = STATES(:,12)+CONSTANTS(:,14);
ALGEBRAIC(:,34) = CONSTANTS(:,49).*CONSTANTS(:,50).*log( CONSTANTS(:,42).*ALGEBRAIC(:,15));
ALGEBRAIC(:,51) = CONSTANTS(:,27).*(exp((ALGEBRAIC(:,31)+ALGEBRAIC(:,34))./( CONSTANTS(:,49).*CONSTANTS(:,50))) - exp(ALGEBRAIC(:,35)./( CONSTANTS(:,49).*CONSTANTS(:,50))));
ALGEBRAIC(:,9) = ALGEBRAIC(:,1)+ALGEBRAIC(:,4)+ALGEBRAIC(:,8)+ALGEBRAIC(:,6);
ALGEBRAIC(:,10) = ALGEBRAIC(:,3)+ALGEBRAIC(:,4)+ALGEBRAIC(:,7)+ALGEBRAIC(:,8)+ALGEBRAIC(:,5)+ALGEBRAIC(:,6);
ALGEBRAIC(:,13) = ALGEBRAIC(:,2)+ALGEBRAIC(:,12)+STATES(:,11);
ALGEBRAIC(:,18) = ALGEBRAIC(:,17)+ALGEBRAIC(:,5)+ALGEBRAIC(:,6);
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