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 =34;
end
% There are a total of 16 entries in each of the rate and state variable arrays.
% There are a total of 47 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 (minute)');
LEGEND_ALGEBRAIC(:,1) = strpad('v1 in component v1 (flux)');
LEGEND_CONSTANTS(:,1) = strpad('Vmax in component v1 (flux)');
LEGEND_CONSTANTS(:,2) = strpad('Km in component v1 (umol_per_g)');
LEGEND_STATES(:,1) = strpad('GL in component GL (umol_per_g)');
LEGEND_ALGEBRAIC(:,2) = strpad('v2 in component v2 (flux)');
LEGEND_CONSTANTS(:,3) = strpad('Vmax in component v2 (flux)');
LEGEND_CONSTANTS(:,4) = strpad('Km in component v2 (umol_per_g)');
LEGEND_STATES(:,2) = strpad('O2 in component O2 (umol_per_g)');
LEGEND_ALGEBRAIC(:,16) = strpad('v3 in component v3 (flux)');
LEGEND_CONSTANTS(:,5) = strpad('Vmax in component v3 (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,15) = strpad('k3 in component v3 (first_order_rate_constant)');
LEGEND_STATES(:,3) = strpad('FA in component FA (umol_per_g)');
LEGEND_ALGEBRAIC(:,14) = strpad('PS in component PS (dimensionless)');
LEGEND_CONSTANTS(:,6) = strpad('PS0 in component PS0 (dimensionless)');
LEGEND_ALGEBRAIC(:,31) = strpad('v4 in component v4 (flux)');
LEGEND_CONSTANTS(:,7) = strpad('Vmax in component v4 (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,30) = strpad('k4 in component v4 (first_order_rate_constant)');
LEGEND_CONSTANTS(:,8) = strpad('epsilon in component v4 (dimensionless)');
LEGEND_ALGEBRAIC(:,5) = strpad('RS in component RS (dimensionless)');
LEGEND_CONSTANTS(:,9) = strpad('RS0 in component RS0 (dimensionless)');
LEGEND_ALGEBRAIC(:,29) = strpad('AF in component AF (dimensionless)');
LEGEND_CONSTANTS(:,10) = strpad('AF0 in component AF0 (dimensionless)');
LEGEND_ALGEBRAIC(:,18) = strpad('v5 in component v5 (flux)');
LEGEND_CONSTANTS(:,11) = strpad('Vmax in component v5 (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,17) = strpad('k5 in component v5 (first_order_rate_constant)');
LEGEND_CONSTANTS(:,12) = strpad('epsilon in component v5 (dimensionless)');
LEGEND_STATES(:,4) = strpad('GP in component GP (umol_per_g)');
LEGEND_ALGEBRAIC(:,20) = strpad('v6 in component v6 (flux)');
LEGEND_CONSTANTS(:,13) = strpad('Vmax in component v6 (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,19) = strpad('k6 in component v6 (first_order_rate_constant)');
LEGEND_CONSTANTS(:,14) = strpad('epsilon in component v6 (dimensionless)');
LEGEND_ALGEBRAIC(:,4) = strpad('CS in component CS (dimensionless)');
LEGEND_CONSTANTS(:,15) = strpad('CS0 in component CS0 (dimensionless)');
LEGEND_ALGEBRAIC(:,24) = strpad('v7 in component v7 (flux)');
LEGEND_CONSTANTS(:,16) = strpad('Vmax in component v7 (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,22) = strpad('k7 in component v7 (first_order_rate_constant)');
LEGEND_CONSTANTS(:,17) = strpad('epsilon in component v7 (dimensionless)');
LEGEND_STATES(:,5) = strpad('GY in component GY (umol_per_g)');
LEGEND_ALGEBRAIC(:,3) = strpad('v8 in component v8 (flux)');
LEGEND_CONSTANTS(:,18) = strpad('Vmax in component v8 (first_order_rate_constant)');
LEGEND_CONSTANTS(:,46) = strpad('k8 in component v8 (first_order_rate_constant)');
LEGEND_STATES(:,6) = strpad('TG in component TG (umol_per_g)');
LEGEND_ALGEBRAIC(:,7) = strpad('v9 in component v9 (flux)');
LEGEND_CONSTANTS(:,19) = strpad('Vmax in component v9 (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,6) = strpad('k9 in component v9 (first_order_rate_constant)');
LEGEND_STATES(:,7) = strpad('PY in component PY (umol_per_g)');
LEGEND_ALGEBRAIC(:,33) = strpad('v10 in component v10 (flux)');
LEGEND_CONSTANTS(:,20) = strpad('Vmax in component v10 (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,32) = strpad('k10 in component v10 (first_order_rate_constant)');
LEGEND_CONSTANTS(:,21) = strpad('epsilon in component v10 (dimensionless)');
LEGEND_ALGEBRAIC(:,9) = strpad('v11 in component v11 (flux)');
LEGEND_CONSTANTS(:,22) = strpad('Vmax in component v11 (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,8) = strpad('k11 in component v11 (first_order_rate_constant)');
LEGEND_STATES(:,8) = strpad('LA in component LA (umol_per_g)');
LEGEND_ALGEBRAIC(:,23) = strpad('v12 in component v12 (flux)');
LEGEND_CONSTANTS(:,23) = strpad('Vmax in component v12 (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,21) = strpad('k12 in component v12 (first_order_rate_constant)');
LEGEND_CONSTANTS(:,24) = strpad('epsilon in component v12 (dimensionless)');
LEGEND_STATES(:,9) = strpad('AC in component AC (umol_per_g)');
LEGEND_ALGEBRAIC(:,26) = strpad('v13 in component v13 (flux)');
LEGEND_CONSTANTS(:,25) = strpad('Vmax in component v13 (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,25) = strpad('k13 in component v13 (first_order_rate_constant)');
LEGEND_STATES(:,10) = strpad('CR in component CR (umol_per_g)');
LEGEND_ALGEBRAIC(:,28) = strpad('v14 in component v14 (flux)');
LEGEND_CONSTANTS(:,26) = strpad('Vmax in component v14 (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,27) = strpad('k14 in component v14 (first_order_rate_constant)');
LEGEND_STATES(:,11) = strpad('PC in component PC (umol_per_g)');
LEGEND_ALGEBRAIC(:,11) = strpad('v15 in component v15 (flux)');
LEGEND_CONSTANTS(:,27) = strpad('Vmax in component v15 (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,10) = strpad('k15 in component v15 (first_order_rate_constant)');
LEGEND_CONSTANTS(:,28) = strpad('epsilon in component v15 (dimensionless)');
LEGEND_STATES(:,12) = strpad('CoA_pool in component CoA_pool (umol_per_g)');
LEGEND_STATES(:,13) = strpad('FC in component FC (umol_per_g)');
LEGEND_CONSTANTS(:,29) = strpad('FC0 in component FC0 (umol_per_g)');
LEGEND_ALGEBRAIC(:,13) = strpad('v16 in component v16 (flux)');
LEGEND_CONSTANTS(:,30) = strpad('Vmax in component v16 (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,12) = strpad('k16 in component v16 (first_order_rate_constant)');
LEGEND_CONSTANTS(:,31) = strpad('epsilon in component v16 (dimensionless)');
LEGEND_CONSTANTS(:,47) = strpad('v17 in component v17 (flux)');
LEGEND_CONSTANTS(:,32) = strpad('Vmax in component v17 (first_order_rate_constant)');
LEGEND_CONSTANTS(:,45) = strpad('k17 in component v17 (first_order_rate_constant)');
LEGEND_CONSTANTS(:,33) = strpad('ATP in component ATP (umol_per_g)');
LEGEND_CONSTANTS(:,34) = strpad('aGL in component GL (umol_per_ml)');
LEGEND_CONSTANTS(:,35) = strpad('sigmaGL in component GL (g_per_ml)');
LEGEND_ALGEBRAIC(:,34) = strpad('F in component model_parameters (ml_per_g_min)');
LEGEND_CONSTANTS(:,36) = strpad('aFA in component FA (umol_per_ml)');
LEGEND_CONSTANTS(:,37) = strpad('sigmaFA in component FA (g_per_ml)');
LEGEND_CONSTANTS(:,38) = strpad('aLA in component LA (umol_per_ml)');
LEGEND_CONSTANTS(:,39) = strpad('sigmaLA in component LA (g_per_ml)');
LEGEND_CONSTANTS(:,40) = strpad('aO2 in component O2 (umol_per_ml)');
LEGEND_CONSTANTS(:,41) = strpad('sigmaO2 in component O2 (g_per_ml)');
LEGEND_STATES(:,14) = strpad('CO2 in component CO2 (umol_per_g)');
LEGEND_CONSTANTS(:,42) = strpad('aCO2 in component CO2 (umol_per_ml)');
LEGEND_CONSTANTS(:,43) = strpad('sigmaCO2 in component CO2 (g_per_ml)');
LEGEND_STATES(:,15) = strpad('NAD in component NAD (umol_per_g)');
LEGEND_STATES(:,16) = strpad('ADP in component ADP (umol_per_g)');
LEGEND_CONSTANTS(:,44) = strpad('NADH in component NADH (umol_per_g)');
LEGEND_RATES(:,1) = strpad('d/dt GL in component GL (umol_per_g)');
LEGEND_RATES(:,3) = strpad('d/dt FA in component FA (umol_per_g)');
LEGEND_RATES(:,4) = strpad('d/dt GP in component GP (umol_per_g)');
LEGEND_RATES(:,5) = strpad('d/dt GY in component GY (umol_per_g)');
LEGEND_RATES(:,6) = strpad('d/dt TG in component TG (umol_per_g)');
LEGEND_RATES(:,7) = strpad('d/dt PY in component PY (umol_per_g)');
LEGEND_RATES(:,8) = strpad('d/dt LA in component LA (umol_per_g)');
LEGEND_RATES(:,9) = strpad('d/dt AC in component AC (umol_per_g)');
LEGEND_RATES(:,13) = strpad('d/dt FC in component FC (umol_per_g)');
LEGEND_RATES(:,12) = strpad('d/dt CoA_pool in component CoA_pool (umol_per_g)');
LEGEND_RATES(:,2) = strpad('d/dt O2 in component O2 (umol_per_g)');
LEGEND_RATES(:,14) = strpad('d/dt CO2 in component CO2 (umol_per_g)');
LEGEND_RATES(:,15) = strpad('d/dt NAD in component NAD (umol_per_g)');
LEGEND_RATES(:,16) = strpad('d/dt ADP in component ADP (umol_per_g)');
LEGEND_RATES(:,11) = strpad('d/dt PC in component PC (umol_per_g)');
LEGEND_RATES(:,10) = strpad('d/dt CR in component CR (umol_per_g)');
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) = 5.90;
CONSTANTS(:,2) = 0.05;
STATES(:,1) = 0.998;
CONSTANTS(:,3) = 67.6;
CONSTANTS(:,4) = 0.01;
STATES(:,2) = 0.963;
CONSTANTS(:,5) = 4.90;
STATES(:,3) = 0.021;
CONSTANTS(:,6) = 0.2;
CONSTANTS(:,7) = 21.3;
CONSTANTS(:,8) = 0.6;
CONSTANTS(:,9) = 0.111;
CONSTANTS(:,10) = 0.523;
CONSTANTS(:,11) = 2.82;
CONSTANTS(:,12) = 0.254;
STATES(:,4) = 0.171;
CONSTANTS(:,13) = 3.14;
CONSTANTS(:,14) = 0.5;
CONSTANTS(:,15) = 1.0;
CONSTANTS(:,16) = 0.0162;
CONSTANTS(:,17) = 0.5;
STATES(:,5) = 33.0;
CONSTANTS(:,18) = 0.005;
STATES(:,6) = 3.96;
CONSTANTS(:,19) = 1.8;
STATES(:,7) = 0.20;
CONSTANTS(:,20) = 12.6;
CONSTANTS(:,21) = 0.98;
CONSTANTS(:,22) = 0.96;
STATES(:,8) = 1.98;
CONSTANTS(:,23) = 695.7;
CONSTANTS(:,24) = 0.75;
STATES(:,9) = 0.0046;
CONSTANTS(:,25) = 0.455;
STATES(:,10) = 3.5;
CONSTANTS(:,26) = 0.455;
STATES(:,11) = 8.80;
CONSTANTS(:,27) = 626.1;
CONSTANTS(:,28) = 0.669;
STATES(:,12) = 0.043;
STATES(:,13) = 0.0088;
CONSTANTS(:,29) = 0.0088;
CONSTANTS(:,30) = 67.0;
CONSTANTS(:,31) = 0.775;
CONSTANTS(:,32) = 7.76;
CONSTANTS(:,33) = 4.5;
CONSTANTS(:,34) = 4.0;
CONSTANTS(:,35) = 3.76;
CONSTANTS(:,36) = 0.5;
CONSTANTS(:,37) = 13.2;
CONSTANTS(:,38) = 1.8;
CONSTANTS(:,39) = 0.51;
CONSTANTS(:,40) = 6.53;
CONSTANTS(:,41) = 1.0;
STATES(:,14) = 20.0;
CONSTANTS(:,42) = 15.5;
CONSTANTS(:,43) = 1.0;
STATES(:,15) = 1.81;
STATES(:,16) = 0.90;
CONSTANTS(:,44) = 0.19;
CONSTANTS(:,45) = CONSTANTS(:,32);
CONSTANTS(:,46) = CONSTANTS(:,18);
CONSTANTS(:,47) = CONSTANTS(:,45).*CONSTANTS(:,33);
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(:,5) = CONSTANTS(:,44)./STATES(:,15);
ALGEBRAIC(:,10) = CONSTANTS(:,27).*( CONSTANTS(:,28).*(power(ALGEBRAIC(:,5), -1.00000)./(power(CONSTANTS(:,9), -1.00000)+power(ALGEBRAIC(:,5), -1.00000)))+ (1.00000 - CONSTANTS(:,28)).*(power(STATES(:,13), -1.00000)./(power(CONSTANTS(:,29), -1.00000)+power(STATES(:,13), -1.00000))));
ALGEBRAIC(:,11) = ALGEBRAIC(:,10).*STATES(:,12);
ALGEBRAIC(:,12) = CONSTANTS(:,30).*( CONSTANTS(:,31).*(power(ALGEBRAIC(:,5), -1.00000)./(power(CONSTANTS(:,9), -1.00000)+power(ALGEBRAIC(:,5), -1.00000)))+ (1.00000 - CONSTANTS(:,31)).*(power(STATES(:,13), -1.00000)./(power(CONSTANTS(:,29), -1.00000)+power(STATES(:,13), -1.00000))));
ALGEBRAIC(:,13) = ALGEBRAIC(:,12).*STATES(:,9);
RATES(:,12) = ALGEBRAIC(:,13) - ALGEBRAIC(:,11);
ALGEBRAIC(:,14) = STATES(:,16)./CONSTANTS(:,33);
ALGEBRAIC(:,15) = CONSTANTS(:,5).*(power(ALGEBRAIC(:,14), -1.00000)./(power(CONSTANTS(:,6), -1.00000)+power(ALGEBRAIC(:,14), -1.00000)));
ALGEBRAIC(:,16) = ALGEBRAIC(:,15).*STATES(:,3);
ALGEBRAIC(:,3) = CONSTANTS(:,46).*STATES(:,6);
RATES(:,6) = (1.00000./3.00000).*ALGEBRAIC(:,16) - ALGEBRAIC(:,3);
ALGEBRAIC(:,1) = CONSTANTS(:,1).*(STATES(:,1)./(CONSTANTS(:,2)+STATES(:,1)));
ALGEBRAIC(:,17) = CONSTANTS(:,11).*( CONSTANTS(:,12).*(ALGEBRAIC(:,14)./(CONSTANTS(:,6)+ALGEBRAIC(:,14)))+ (1.00000 - CONSTANTS(:,12)).*(power(ALGEBRAIC(:,5), -1.00000)./(power(CONSTANTS(:,9), -1.00000)+power(ALGEBRAIC(:,5), -1.00000))));
ALGEBRAIC(:,18) = ALGEBRAIC(:,17).*STATES(:,4);
ALGEBRAIC(:,4) = STATES(:,10)./STATES(:,11);
ALGEBRAIC(:,19) = CONSTANTS(:,13).*( CONSTANTS(:,14).*(power(ALGEBRAIC(:,14), -1.00000)./(power(CONSTANTS(:,6), -1.00000)+power(ALGEBRAIC(:,14), -1.00000)))+ (1.00000 - CONSTANTS(:,14)).*power(power(ALGEBRAIC(:,4), -1.00000)./(power(CONSTANTS(:,15), -1.00000)+power(ALGEBRAIC(:,4), -1.00000)), 2.00000));
ALGEBRAIC(:,20) = ALGEBRAIC(:,19).*STATES(:,4);
ALGEBRAIC(:,22) = CONSTANTS(:,16).*( CONSTANTS(:,17).*(ALGEBRAIC(:,14)./(CONSTANTS(:,6)+ALGEBRAIC(:,14)))+ (1.00000 - CONSTANTS(:,17)).*power(ALGEBRAIC(:,4)./(CONSTANTS(:,15)+ALGEBRAIC(:,4)), 2.00000));
ALGEBRAIC(:,24) = ALGEBRAIC(:,22).*STATES(:,5);
RATES(:,4) = (ALGEBRAIC(:,1)+ALGEBRAIC(:,24)) - (ALGEBRAIC(:,18)+ALGEBRAIC(:,20));
RATES(:,5) = ALGEBRAIC(:,20) - ALGEBRAIC(:,24);
ALGEBRAIC(:,25) = CONSTANTS(:,25).*(power(ALGEBRAIC(:,14), -1.00000)./(power(CONSTANTS(:,6), -1.00000)+power(ALGEBRAIC(:,14), -1.00000)));
ALGEBRAIC(:,26) = ALGEBRAIC(:,25).*STATES(:,10);
ALGEBRAIC(:,27) = CONSTANTS(:,26).*(ALGEBRAIC(:,14)./(CONSTANTS(:,6)+ALGEBRAIC(:,14)));
ALGEBRAIC(:,28) = ALGEBRAIC(:,27).*STATES(:,11);
RATES(:,11) = ALGEBRAIC(:,26) - ALGEBRAIC(:,28);
RATES(:,10) = ALGEBRAIC(:,28) - ALGEBRAIC(:,26);
ALGEBRAIC(:,2) = CONSTANTS(:,3).*(STATES(:,2)./(CONSTANTS(:,4)+STATES(:,2)));
ALGEBRAIC(:,29) = STATES(:,9)./STATES(:,13);
ALGEBRAIC(:,30) = CONSTANTS(:,7).*( CONSTANTS(:,8).*(power(ALGEBRAIC(:,29), -1.00000)./(power(CONSTANTS(:,10), -1.00000)+power(ALGEBRAIC(:,29), -1.00000)))+ (1.00000 - CONSTANTS(:,8)).*(power(ALGEBRAIC(:,5), -1.00000)./(power(CONSTANTS(:,9), -1.00000)+power(ALGEBRAIC(:,5), -1.00000))));
ALGEBRAIC(:,31) = ALGEBRAIC(:,30).*STATES(:,3);
ALGEBRAIC(:,21) = CONSTANTS(:,23).*( CONSTANTS(:,24).*(power(ALGEBRAIC(:,5), -1.00000)./(power(CONSTANTS(:,9), -1.00000)+power(ALGEBRAIC(:,5), -1.00000)))+ (1.00000 - CONSTANTS(:,24)).*(ALGEBRAIC(:,14)./(CONSTANTS(:,6)+ALGEBRAIC(:,14))));
ALGEBRAIC(:,23) = ALGEBRAIC(:,21).*STATES(:,9);
RATES(:,16) = (ALGEBRAIC(:,1)+ALGEBRAIC(:,20)+ 2.00000.*ALGEBRAIC(:,31)+ 2.00000.*ALGEBRAIC(:,16)+ALGEBRAIC(:,26)+CONSTANTS(:,47)) - ( 3.00000.*ALGEBRAIC(:,18)+ALGEBRAIC(:,23)+ 6.00000.*ALGEBRAIC(:,2)+ALGEBRAIC(:,28));
ALGEBRAIC(:,6) = CONSTANTS(:,19).*(ALGEBRAIC(:,5)./(CONSTANTS(:,9)+ALGEBRAIC(:,5)));
ALGEBRAIC(:,7) = ALGEBRAIC(:,6).*STATES(:,7);
ALGEBRAIC(:,32) = CONSTANTS(:,20).*( CONSTANTS(:,21).*(power(ALGEBRAIC(:,5), -1.00000)./(power(CONSTANTS(:,9), -1.00000)+power(ALGEBRAIC(:,5), -1.00000)))+ (1.00000 - CONSTANTS(:,21)).*(power(ALGEBRAIC(:,29), -1.00000)./(power(CONSTANTS(:,10), -1.00000)+power(ALGEBRAIC(:,29), -1.00000))));
ALGEBRAIC(:,33) = ALGEBRAIC(:,32).*STATES(:,7);
ALGEBRAIC(:,8) = CONSTANTS(:,22).*(power(ALGEBRAIC(:,5), -1.00000)./(power(CONSTANTS(:,9), -1.00000)+power(ALGEBRAIC(:,5), -1.00000)));
ALGEBRAIC(:,9) = ALGEBRAIC(:,8).*STATES(:,8);
RATES(:,7) = ( 2.00000.*ALGEBRAIC(:,18)+ALGEBRAIC(:,9)) - (ALGEBRAIC(:,7)+ALGEBRAIC(:,33));
RATES(:,9) = (ALGEBRAIC(:,33)+ALGEBRAIC(:,31)) - (ALGEBRAIC(:,23)+ALGEBRAIC(:,13));
RATES(:,13) = (ALGEBRAIC(:,23)+ALGEBRAIC(:,11)+ALGEBRAIC(:,13)) - (ALGEBRAIC(:,33)+ALGEBRAIC(:,31));
RATES(:,15) = (ALGEBRAIC(:,7)+ 2.00000.*ALGEBRAIC(:,2)) - ( 2.00000.*ALGEBRAIC(:,18)+ALGEBRAIC(:,33)+ALGEBRAIC(:,9)+ (11.0000./3.00000).*ALGEBRAIC(:,23)+ (35.0000./3.00000).*ALGEBRAIC(:,31));
ALGEBRAIC(:,34) = piecewise({VOI>0.00000&VOI<5.00000, 1.00000 }, 0.400000);
RATES(:,1) = ALGEBRAIC(:,34).*(CONSTANTS(:,34) - CONSTANTS(:,35).*STATES(:,1)) - ALGEBRAIC(:,1);
RATES(:,3) = ( 3.00000.*ALGEBRAIC(:,3)+ ALGEBRAIC(:,34).*(CONSTANTS(:,36) - CONSTANTS(:,37).*STATES(:,3))) - (ALGEBRAIC(:,16)+ALGEBRAIC(:,31));
RATES(:,8) = (ALGEBRAIC(:,7)+ ALGEBRAIC(:,34).*(CONSTANTS(:,38) - CONSTANTS(:,39).*STATES(:,8))) - ALGEBRAIC(:,9);
RATES(:,2) = ALGEBRAIC(:,34).*(CONSTANTS(:,40) - CONSTANTS(:,41).*STATES(:,2)) - ALGEBRAIC(:,2);
RATES(:,14) = ALGEBRAIC(:,33)+ 2.00000.*ALGEBRAIC(:,23)+ ALGEBRAIC(:,34).*(CONSTANTS(:,42) - CONSTANTS(:,43).*STATES(:,14));
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(:,5) = CONSTANTS(:,44)./STATES(:,15);
ALGEBRAIC(:,10) = CONSTANTS(:,27).*( CONSTANTS(:,28).*(power(ALGEBRAIC(:,5), -1.00000)./(power(CONSTANTS(:,9), -1.00000)+power(ALGEBRAIC(:,5), -1.00000)))+ (1.00000 - CONSTANTS(:,28)).*(power(STATES(:,13), -1.00000)./(power(CONSTANTS(:,29), -1.00000)+power(STATES(:,13), -1.00000))));
ALGEBRAIC(:,11) = ALGEBRAIC(:,10).*STATES(:,12);
ALGEBRAIC(:,12) = CONSTANTS(:,30).*( CONSTANTS(:,31).*(power(ALGEBRAIC(:,5), -1.00000)./(power(CONSTANTS(:,9), -1.00000)+power(ALGEBRAIC(:,5), -1.00000)))+ (1.00000 - CONSTANTS(:,31)).*(power(STATES(:,13), -1.00000)./(power(CONSTANTS(:,29), -1.00000)+power(STATES(:,13), -1.00000))));
ALGEBRAIC(:,13) = ALGEBRAIC(:,12).*STATES(:,9);
ALGEBRAIC(:,14) = STATES(:,16)./CONSTANTS(:,33);
ALGEBRAIC(:,15) = CONSTANTS(:,5).*(power(ALGEBRAIC(:,14), -1.00000)./(power(CONSTANTS(:,6), -1.00000)+power(ALGEBRAIC(:,14), -1.00000)));
ALGEBRAIC(:,16) = ALGEBRAIC(:,15).*STATES(:,3);
ALGEBRAIC(:,3) = CONSTANTS(:,46).*STATES(:,6);
ALGEBRAIC(:,1) = CONSTANTS(:,1).*(STATES(:,1)./(CONSTANTS(:,2)+STATES(:,1)));
ALGEBRAIC(:,17) = CONSTANTS(:,11).*( CONSTANTS(:,12).*(ALGEBRAIC(:,14)./(CONSTANTS(:,6)+ALGEBRAIC(:,14)))+ (1.00000 - CONSTANTS(:,12)).*(power(ALGEBRAIC(:,5), -1.00000)./(power(CONSTANTS(:,9), -1.00000)+power(ALGEBRAIC(:,5), -1.00000))));
ALGEBRAIC(:,18) = ALGEBRAIC(:,17).*STATES(:,4);
ALGEBRAIC(:,4) = STATES(:,10)./STATES(:,11);
ALGEBRAIC(:,19) = CONSTANTS(:,13).*( CONSTANTS(:,14).*(power(ALGEBRAIC(:,14), -1.00000)./(power(CONSTANTS(:,6), -1.00000)+power(ALGEBRAIC(:,14), -1.00000)))+ (1.00000 - CONSTANTS(:,14)).*power(power(ALGEBRAIC(:,4), -1.00000)./(power(CONSTANTS(:,15), -1.00000)+power(ALGEBRAIC(:,4), -1.00000)), 2.00000));
ALGEBRAIC(:,20) = ALGEBRAIC(:,19).*STATES(:,4);
ALGEBRAIC(:,22) = CONSTANTS(:,16).*( CONSTANTS(:,17).*(ALGEBRAIC(:,14)./(CONSTANTS(:,6)+ALGEBRAIC(:,14)))+ (1.00000 - CONSTANTS(:,17)).*power(ALGEBRAIC(:,4)./(CONSTANTS(:,15)+ALGEBRAIC(:,4)), 2.00000));
ALGEBRAIC(:,24) = ALGEBRAIC(:,22).*STATES(:,5);
ALGEBRAIC(:,25) = CONSTANTS(:,25).*(power(ALGEBRAIC(:,14), -1.00000)./(power(CONSTANTS(:,6), -1.00000)+power(ALGEBRAIC(:,14), -1.00000)));
ALGEBRAIC(:,26) = ALGEBRAIC(:,25).*STATES(:,10);
ALGEBRAIC(:,27) = CONSTANTS(:,26).*(ALGEBRAIC(:,14)./(CONSTANTS(:,6)+ALGEBRAIC(:,14)));
ALGEBRAIC(:,28) = ALGEBRAIC(:,27).*STATES(:,11);
ALGEBRAIC(:,2) = CONSTANTS(:,3).*(STATES(:,2)./(CONSTANTS(:,4)+STATES(:,2)));
ALGEBRAIC(:,29) = STATES(:,9)./STATES(:,13);
ALGEBRAIC(:,30) = CONSTANTS(:,7).*( CONSTANTS(:,8).*(power(ALGEBRAIC(:,29), -1.00000)./(power(CONSTANTS(:,10), -1.00000)+power(ALGEBRAIC(:,29), -1.00000)))+ (1.00000 - CONSTANTS(:,8)).*(power(ALGEBRAIC(:,5), -1.00000)./(power(CONSTANTS(:,9), -1.00000)+power(ALGEBRAIC(:,5), -1.00000))));
ALGEBRAIC(:,31) = ALGEBRAIC(:,30).*STATES(:,3);
ALGEBRAIC(:,21) = CONSTANTS(:,23).*( CONSTANTS(:,24).*(power(ALGEBRAIC(:,5), -1.00000)./(power(CONSTANTS(:,9), -1.00000)+power(ALGEBRAIC(:,5), -1.00000)))+ (1.00000 - CONSTANTS(:,24)).*(ALGEBRAIC(:,14)./(CONSTANTS(:,6)+ALGEBRAIC(:,14))));
ALGEBRAIC(:,23) = ALGEBRAIC(:,21).*STATES(:,9);
ALGEBRAIC(:,6) = CONSTANTS(:,19).*(ALGEBRAIC(:,5)./(CONSTANTS(:,9)+ALGEBRAIC(:,5)));
ALGEBRAIC(:,7) = ALGEBRAIC(:,6).*STATES(:,7);
ALGEBRAIC(:,32) = CONSTANTS(:,20).*( CONSTANTS(:,21).*(power(ALGEBRAIC(:,5), -1.00000)./(power(CONSTANTS(:,9), -1.00000)+power(ALGEBRAIC(:,5), -1.00000)))+ (1.00000 - CONSTANTS(:,21)).*(power(ALGEBRAIC(:,29), -1.00000)./(power(CONSTANTS(:,10), -1.00000)+power(ALGEBRAIC(:,29), -1.00000))));
ALGEBRAIC(:,33) = ALGEBRAIC(:,32).*STATES(:,7);
ALGEBRAIC(:,8) = CONSTANTS(:,22).*(power(ALGEBRAIC(:,5), -1.00000)./(power(CONSTANTS(:,9), -1.00000)+power(ALGEBRAIC(:,5), -1.00000)));
ALGEBRAIC(:,9) = ALGEBRAIC(:,8).*STATES(:,8);
ALGEBRAIC(:,34) = piecewise({VOI>0.00000&VOI<5.00000, 1.00000 }, 0.400000);
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