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 =15;
end
% There are a total of 5 entries in each of the rate and state variable arrays.
% There are a total of 24 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_STATES(:,1) = strpad('y0 in component y0 (dimensionless)');
    LEGEND_ALGEBRAIC(:,11) = strpad('g0 in component y0 (dimensionless)');
    LEGEND_ALGEBRAIC(:,6) = strpad('r0 in component y0 (dimensionless)');
    LEGEND_ALGEBRAIC(:,1) = strpad('h0 in component y0 (dimensionless)');
    LEGEND_CONSTANTS(:,1) = strpad('S0 in component y0 (dimensionless)');
    LEGEND_STATES(:,2) = strpad('y2 in component y2 (dimensionless)');
    LEGEND_CONSTANTS(:,2) = strpad('a00 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,3) = strpad('a02 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,4) = strpad('c0 in component model_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,5) = strpad('e0 in component model_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,6) = strpad('epsilon in component model_parameters (dimensionless)');
    LEGEND_STATES(:,3) = strpad('y1 in component y1 (dimensionless)');
    LEGEND_ALGEBRAIC(:,12) = strpad('g1 in component y1 (dimensionless)');
    LEGEND_ALGEBRAIC(:,7) = strpad('r1 in component y1 (dimensionless)');
    LEGEND_ALGEBRAIC(:,2) = strpad('h1 in component y1 (dimensionless)');
    LEGEND_CONSTANTS(:,7) = strpad('S1 in component y1 (dimensionless)');
    LEGEND_CONSTANTS(:,8) = strpad('a10 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,9) = strpad('a12 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,10) = strpad('a11 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,11) = strpad('e1 in component model_parameters (first_order_rate_constant)');
    LEGEND_ALGEBRAIC(:,13) = strpad('g2 in component y2 (dimensionless)');
    LEGEND_ALGEBRAIC(:,8) = strpad('r2 in component y2 (dimensionless)');
    LEGEND_ALGEBRAIC(:,3) = strpad('h2 in component y2 (dimensionless)');
    LEGEND_CONSTANTS(:,12) = strpad('S2 in component y2 (dimensionless)');
    LEGEND_STATES(:,4) = strpad('y3 in component y3 (dimensionless)');
    LEGEND_STATES(:,5) = strpad('y4 in component y4 (dimensionless)');
    LEGEND_CONSTANTS(:,13) = strpad('a23 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,14) = strpad('a24 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,15) = strpad('a20 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,16) = strpad('a21 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,17) = strpad('a22 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,18) = strpad('e2 in component model_parameters (first_order_rate_constant)');
    LEGEND_ALGEBRAIC(:,14) = strpad('g3 in component y3 (dimensionless)');
    LEGEND_ALGEBRAIC(:,9) = strpad('r3 in component y3 (dimensionless)');
    LEGEND_ALGEBRAIC(:,4) = strpad('h3 in component y3 (dimensionless)');
    LEGEND_CONSTANTS(:,19) = strpad('S3 in component y3 (dimensionless)');
    LEGEND_CONSTANTS(:,20) = strpad('a32 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,21) = strpad('a33 in component model_parameters (dimensionless)');
    LEGEND_ALGEBRAIC(:,15) = strpad('g4 in component y4 (dimensionless)');
    LEGEND_ALGEBRAIC(:,10) = strpad('r4 in component y4 (dimensionless)');
    LEGEND_ALGEBRAIC(:,5) = strpad('h4 in component y4 (dimensionless)');
    LEGEND_CONSTANTS(:,22) = strpad('S4 in component y4 (dimensionless)');
    LEGEND_CONSTANTS(:,23) = strpad('a42 in component model_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,24) = strpad('a44 in component model_parameters (dimensionless)');
    LEGEND_RATES(:,1) = strpad('d/dt y0 in component y0 (dimensionless)');
    LEGEND_RATES(:,3) = strpad('d/dt y1 in component y1 (dimensionless)');
    LEGEND_RATES(:,2) = strpad('d/dt y2 in component y2 (dimensionless)');
    LEGEND_RATES(:,4) = strpad('d/dt y3 in component y3 (dimensionless)');
    LEGEND_RATES(:,5) = strpad('d/dt y4 in component y4 (dimensionless)');
    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) = 0.4;
    CONSTANTS(:,1) = 0.010;
    STATES(:,2) = 1.17;
    CONSTANTS(:,2) = -0.00843;
    CONSTANTS(:,3) = -0.440;
    CONSTANTS(:,4) = 0.443;
    CONSTANTS(:,5) = 0.0;
    CONSTANTS(:,6) = 0.50;
    STATES(:,3) = 1.4;
    CONSTANTS(:,7) = 0.010;
    CONSTANTS(:,8) = 0.082;
    CONSTANTS(:,9) = -0.0668;
    CONSTANTS(:,10) = -0.0040;
    CONSTANTS(:,11) = 0.0;
    CONSTANTS(:,12) = 0.010;
    STATES(:,4) = 0.95;
    STATES(:,5) = 0.65;
    CONSTANTS(:,13) = 0.0576;
    CONSTANTS(:,14) = 3.25E-4;
    CONSTANTS(:,15) = 0.0;
    CONSTANTS(:,16) = 0.0310;
    CONSTANTS(:,17) = -0.0957;
    CONSTANTS(:,18) = 0.0;
    CONSTANTS(:,19) = 0.010;
    CONSTANTS(:,20) = 0.00869;
    CONSTANTS(:,21) = -0.00857;
    CONSTANTS(:,22) = 0.010;
    CONSTANTS(:,23) = 1.39E-4;
    CONSTANTS(:,24) = -1.43E-4;
    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(:,6) = piecewise({STATES(:,1)<CONSTANTS(:,6)& CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2)<0.00000, 1.00000 - exp(( CONSTANTS(:,1).*power(STATES(:,1), 2.00000))./( ( CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2)).*power(CONSTANTS(:,6) - STATES(:,1), 2.00000))) }, 1.00000);
    ALGEBRAIC(:,1) = piecewise({ CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2)>0.00000, ( CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2))./(1.00000+ (( CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2))./CONSTANTS(:,1)).*(1.00000 - exp( - (( CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2))./CONSTANTS(:,1))))) ,  CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2)<=0.00000,  CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2) }, NaN);
    ALGEBRAIC(:,11) =  ALGEBRAIC(:,1).*ALGEBRAIC(:,6);
    RATES(:,1) =  1.00000.*ALGEBRAIC(:,11)+CONSTANTS(:,4)+CONSTANTS(:,5);
    ALGEBRAIC(:,7) = piecewise({STATES(:,3)<CONSTANTS(:,6)& CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2)<0.00000, 1.00000 - exp(( CONSTANTS(:,7).*power(STATES(:,3), 2.00000))./( ( CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2)).*power(CONSTANTS(:,6) - STATES(:,3), 2.00000))) }, 1.00000);
    ALGEBRAIC(:,2) = piecewise({ CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2)>0.00000, ( CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2))./(1.00000+ (( CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2))./CONSTANTS(:,7)).*(1.00000 - exp( - (( CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2))./CONSTANTS(:,7))))) ,  CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2)<=0.00000,  CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2) }, NaN);
    ALGEBRAIC(:,12) =  ALGEBRAIC(:,2).*ALGEBRAIC(:,7);
    RATES(:,3) =  1.00000.*ALGEBRAIC(:,12)+CONSTANTS(:,11);
    ALGEBRAIC(:,8) = piecewise({STATES(:,2)<CONSTANTS(:,6)& CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5)<0.00000, 1.00000 - exp(( CONSTANTS(:,12).*power(STATES(:,2), 2.00000))./( ( CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5)).*power(CONSTANTS(:,6) - STATES(:,2), 2.00000))) }, 1.00000);
    ALGEBRAIC(:,3) = piecewise({ CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5)>0.00000, ( CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5))./(1.00000+ (( CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5))./CONSTANTS(:,12)).*(1.00000 - exp( - (( CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5))./CONSTANTS(:,12))))) ,  CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5)<=0.00000,  CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5) }, NaN);
    ALGEBRAIC(:,13) =  ALGEBRAIC(:,3).*ALGEBRAIC(:,8);
    RATES(:,2) =  1.00000.*ALGEBRAIC(:,13)+CONSTANTS(:,18);
    ALGEBRAIC(:,9) = piecewise({STATES(:,4)<CONSTANTS(:,6)& CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4)<0.00000, 1.00000 - exp(( CONSTANTS(:,19).*power(STATES(:,4), 2.00000))./( ( CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4)).*power(CONSTANTS(:,6) - STATES(:,4), 2.00000))) }, 1.00000);
    ALGEBRAIC(:,4) = piecewise({ CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4)>0.00000, ( CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4))./(1.00000+ (( CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4))./CONSTANTS(:,19)).*(1.00000 - exp( - (( CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4))./CONSTANTS(:,19))))) ,  CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4)<=0.00000,  CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4) }, NaN);
    ALGEBRAIC(:,14) =  ALGEBRAIC(:,4).*ALGEBRAIC(:,9);
    RATES(:,4) =  1.00000.*ALGEBRAIC(:,14);
    ALGEBRAIC(:,10) = piecewise({STATES(:,5)<CONSTANTS(:,6)& CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5)<0.00000, 1.00000 - exp(( CONSTANTS(:,22).*power(STATES(:,5), 2.00000))./( ( CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5)).*power(CONSTANTS(:,6) - STATES(:,5), 2.00000))) }, 1.00000);
    ALGEBRAIC(:,5) = piecewise({ CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5)>0.00000, ( CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5))./(1.00000+ (( CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5))./CONSTANTS(:,22)).*(1.00000 - exp( - (( CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5))./CONSTANTS(:,22))))) ,  CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5)<=0.00000,  CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5) }, NaN);
    ALGEBRAIC(:,15) =  ALGEBRAIC(:,5).*ALGEBRAIC(:,10);
    RATES(:,5) =  1.00000.*ALGEBRAIC(:,15);
   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(:,6) = piecewise({STATES(:,1)<CONSTANTS(:,6)& CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2)<0.00000, 1.00000 - exp(( CONSTANTS(:,1).*power(STATES(:,1), 2.00000))./( ( CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2)).*power(CONSTANTS(:,6) - STATES(:,1), 2.00000))) }, 1.00000);
    ALGEBRAIC(:,1) = piecewise({ CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2)>0.00000, ( CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2))./(1.00000+ (( CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2))./CONSTANTS(:,1)).*(1.00000 - exp( - (( CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2))./CONSTANTS(:,1))))) ,  CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2)<=0.00000,  CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2) }, NaN);
    ALGEBRAIC(:,11) =  ALGEBRAIC(:,1).*ALGEBRAIC(:,6);
    ALGEBRAIC(:,7) = piecewise({STATES(:,3)<CONSTANTS(:,6)& CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2)<0.00000, 1.00000 - exp(( CONSTANTS(:,7).*power(STATES(:,3), 2.00000))./( ( CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2)).*power(CONSTANTS(:,6) - STATES(:,3), 2.00000))) }, 1.00000);
    ALGEBRAIC(:,2) = piecewise({ CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2)>0.00000, ( CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2))./(1.00000+ (( CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2))./CONSTANTS(:,7)).*(1.00000 - exp( - (( CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2))./CONSTANTS(:,7))))) ,  CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2)<=0.00000,  CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2) }, NaN);
    ALGEBRAIC(:,12) =  ALGEBRAIC(:,2).*ALGEBRAIC(:,7);
    ALGEBRAIC(:,8) = piecewise({STATES(:,2)<CONSTANTS(:,6)& CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5)<0.00000, 1.00000 - exp(( CONSTANTS(:,12).*power(STATES(:,2), 2.00000))./( ( CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5)).*power(CONSTANTS(:,6) - STATES(:,2), 2.00000))) }, 1.00000);
    ALGEBRAIC(:,3) = piecewise({ CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5)>0.00000, ( CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5))./(1.00000+ (( CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5))./CONSTANTS(:,12)).*(1.00000 - exp( - (( CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5))./CONSTANTS(:,12))))) ,  CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5)<=0.00000,  CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5) }, NaN);
    ALGEBRAIC(:,13) =  ALGEBRAIC(:,3).*ALGEBRAIC(:,8);
    ALGEBRAIC(:,9) = piecewise({STATES(:,4)<CONSTANTS(:,6)& CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4)<0.00000, 1.00000 - exp(( CONSTANTS(:,19).*power(STATES(:,4), 2.00000))./( ( CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4)).*power(CONSTANTS(:,6) - STATES(:,4), 2.00000))) }, 1.00000);
    ALGEBRAIC(:,4) = piecewise({ CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4)>0.00000, ( CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4))./(1.00000+ (( CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4))./CONSTANTS(:,19)).*(1.00000 - exp( - (( CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4))./CONSTANTS(:,19))))) ,  CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4)<=0.00000,  CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4) }, NaN);
    ALGEBRAIC(:,14) =  ALGEBRAIC(:,4).*ALGEBRAIC(:,9);
    ALGEBRAIC(:,10) = piecewise({STATES(:,5)<CONSTANTS(:,6)& CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5)<0.00000, 1.00000 - exp(( CONSTANTS(:,22).*power(STATES(:,5), 2.00000))./( ( CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5)).*power(CONSTANTS(:,6) - STATES(:,5), 2.00000))) }, 1.00000);
    ALGEBRAIC(:,5) = piecewise({ CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5)>0.00000, ( CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5))./(1.00000+ (( CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5))./CONSTANTS(:,22)).*(1.00000 - exp( - (( CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5))./CONSTANTS(:,22))))) ,  CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5)<=0.00000,  CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5) }, NaN);
    ALGEBRAIC(:,15) =  ALGEBRAIC(:,5).*ALGEBRAIC(:,10);
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