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