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 =31;
end
% There are a total of 12 entries in each of the rate and state variable arrays.
% There are a total of 32 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_ALGEBRAIC(:,1) = strpad('q_L_B1_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,1) = strpad('q_R_B1_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,2) = strpad('q_Gs_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,3) = strpad('q_LR_B1_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,4) = strpad('q_LR_B1Gs_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,5) = strpad('q_B1d_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,6) = strpad('q_BARK_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,7) = strpad('q_LR_B1_BARK_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,8) = strpad('q_LR_B1Gs_BARK_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,9) = strpad('q_B1p_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,10) = strpad('q_PKACI_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,11) = strpad('q_R_PKACI_init in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,3) = strpad('q_L_B1 in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,2) = strpad('q_R_B1 in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,5) = strpad('q_Gs in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,7) = strpad('q_LR_B1 in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,9) = strpad('q_LR_B1Gs in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,11) = strpad('q_B1d in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,13) = strpad('q_BARK in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,15) = strpad('q_LR_B1_BARK in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,18) = strpad('q_LR_B1Gs_BARK in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,4) = strpad('q_B1p in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,6) = strpad('q_PKACI in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,8) = strpad('q_R_PKACI in component environment (fmol)');
    LEGEND_STATES(:,1) = strpad('q_L_B1 in component B1AR (fmol)');
    LEGEND_STATES(:,2) = strpad('q_R_B1 in component B1AR (fmol)');
    LEGEND_STATES(:,3) = strpad('q_Gs in component B1AR (fmol)');
    LEGEND_STATES(:,4) = strpad('q_LR_B1 in component B1AR (fmol)');
    LEGEND_STATES(:,5) = strpad('q_LR_B1Gs in component B1AR (fmol)');
    LEGEND_STATES(:,6) = strpad('q_B1d in component B1AR (fmol)');
    LEGEND_STATES(:,7) = strpad('q_BARK in component B1AR (fmol)');
    LEGEND_STATES(:,8) = strpad('q_LR_B1_BARK in component B1AR (fmol)');
    LEGEND_STATES(:,9) = strpad('q_LR_B1Gs_BARK in component B1AR (fmol)');
    LEGEND_STATES(:,10) = strpad('q_B1p in component B1AR (fmol)');
    LEGEND_STATES(:,11) = strpad('q_PKACI in component B1AR (fmol)');
    LEGEND_STATES(:,12) = strpad('q_R_PKACI in component B1AR (fmol)');
    LEGEND_CONSTANTS(:,12) = strpad('kappa_B11 in component B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,13) = strpad('kappa_B12 in component B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,14) = strpad('kappa_B21 in component B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,15) = strpad('kappa_B22 in component B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,16) = strpad('kappa_P1 in component B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,17) = strpad('kappa_P2 in component B1AR_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,18) = strpad('K_L_B1 in component B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,19) = strpad('K_R_B1 in component B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,20) = strpad('K_Gs in component B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,21) = strpad('K_LR_B1 in component B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,22) = strpad('K_LR_B1Gs in component B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,23) = strpad('K_B1d in component B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,24) = strpad('K_BARK in component B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,25) = strpad('K_LR_B1_BARK in component B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,26) = strpad('K_LR_B1Gs_BARK in component B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,27) = strpad('K_B1p in component B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,28) = strpad('K_PKACI in component B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,29) = strpad('K_R_PKACI in component B1AR_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,30) = strpad('R in component constants (J_per_K_per_mol)');
    LEGEND_CONSTANTS(:,31) = strpad('T in component constants (kelvin)');
    LEGEND_ALGEBRAIC(:,28) = strpad('vB11 in component B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,29) = strpad('vB12 in component B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,30) = strpad('vB21 in component B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,31) = strpad('vB22 in component B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,17) = strpad('vP1 in component B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,19) = strpad('vP2 in component B1AR (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,20) = strpad('mu_L_B1 in component B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,10) = strpad('mu_R_B1 in component B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,21) = strpad('mu_Gs in component B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,22) = strpad('mu_LR_B1 in component B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,23) = strpad('mu_LR_B1Gs in component B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,24) = strpad('mu_B1d in component B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,25) = strpad('mu_BARK in component B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,26) = strpad('mu_LR_B1_BARK in component B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,27) = strpad('mu_LR_B1Gs_BARK in component B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,12) = strpad('mu_B1p in component B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,14) = strpad('mu_PKACI in component B1AR (J_per_mol)');
    LEGEND_ALGEBRAIC(:,16) = strpad('mu_R_PKACI in component B1AR (J_per_mol)');
    LEGEND_CONSTANTS(:,32) = strpad('F in component constants (C_per_mol)');
    LEGEND_RATES(:,1) = strpad('d/dt q_L_B1 in component B1AR (fmol)');
    LEGEND_RATES(:,2) = strpad('d/dt q_R_B1 in component B1AR (fmol)');
    LEGEND_RATES(:,3) = strpad('d/dt q_Gs in component B1AR (fmol)');
    LEGEND_RATES(:,4) = strpad('d/dt q_LR_B1 in component B1AR (fmol)');
    LEGEND_RATES(:,6) = strpad('d/dt q_B1d in component B1AR (fmol)');
    LEGEND_RATES(:,7) = strpad('d/dt q_BARK in component B1AR (fmol)');
    LEGEND_RATES(:,8) = strpad('d/dt q_LR_B1_BARK in component B1AR (fmol)');
    LEGEND_RATES(:,5) = strpad('d/dt q_LR_B1Gs in component B1AR (fmol)');
    LEGEND_RATES(:,9) = strpad('d/dt q_LR_B1Gs_BARK in component B1AR (fmol)');
    LEGEND_RATES(:,10) = strpad('d/dt q_B1p in component B1AR (fmol)');
    LEGEND_RATES(:,11) = strpad('d/dt q_PKACI in component B1AR (fmol)');
    LEGEND_RATES(:,12) = strpad('d/dt q_R_PKACI in component B1AR (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) = 0.00005;
    CONSTANTS(:,2) = 0.00015;
    CONSTANTS(:,3) = 0;
    CONSTANTS(:,4) = 0.0000508778;
    CONSTANTS(:,5) = 0;
    CONSTANTS(:,6) = 0.0228;
    CONSTANTS(:,7) = 0.0000508778;
    CONSTANTS(:,8) = 0.0000508778;
    CONSTANTS(:,9) = 0;
    CONSTANTS(:,10) = 0.000221209;
    CONSTANTS(:,11) = 0.008778;
    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;
    CONSTANTS(:,12) = 0.000282928;
    CONSTANTS(:,13) = 128604;
    CONSTANTS(:,14) = 0.000200356;
    CONSTANTS(:,15) = 91071.1;
    CONSTANTS(:,16) = 2.28764e-05;
    CONSTANTS(:,17) = 10398.4;
    CONSTANTS(:,18) = 2.90698e-08;
    CONSTANTS(:,19) = 1849.44;
    CONSTANTS(:,20) = 0.0410501;
    CONSTANTS(:,21) = 0.0242248;
    CONSTANTS(:,22) = 0.0342084;
    CONSTANTS(:,23) = 2.90698e-08;
    CONSTANTS(:,24) = 0.226042;
    CONSTANTS(:,25) = 0.226042;
    CONSTANTS(:,26) = 0.319199;
    CONSTANTS(:,27) = 1.13021e-09;
    CONSTANTS(:,28) = 7.19049e-05;
    CONSTANTS(:,29) = 2.79561;
    CONSTANTS(:,30) = 8.31;
    CONSTANTS(:,31) = 310;
    CONSTANTS(:,32) = 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(:,2) = STATES(:,2)+CONSTANTS(:,1);
    ALGEBRAIC(:,10) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,19).*ALGEBRAIC(:,2));
    ALGEBRAIC(:,6) = STATES(:,11)+CONSTANTS(:,10);
    ALGEBRAIC(:,14) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,28).*ALGEBRAIC(:,6));
    ALGEBRAIC(:,8) = STATES(:,12)+CONSTANTS(:,11);
    ALGEBRAIC(:,16) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,29).*ALGEBRAIC(:,8));
    ALGEBRAIC(:,17) =  CONSTANTS(:,16).*(exp((ALGEBRAIC(:,10)+ALGEBRAIC(:,14))./( CONSTANTS(:,30).*CONSTANTS(:,31))) - exp(ALGEBRAIC(:,16)./( CONSTANTS(:,30).*CONSTANTS(:,31))));
    RATES(:,2) =  - ALGEBRAIC(:,17);
    RATES(:,10) =  - ALGEBRAIC(:,17);
    ALGEBRAIC(:,4) = STATES(:,10)+CONSTANTS(:,9);
    ALGEBRAIC(:,12) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,27).*ALGEBRAIC(:,4));
    ALGEBRAIC(:,19) =  CONSTANTS(:,17).*(exp(ALGEBRAIC(:,16)./( CONSTANTS(:,30).*CONSTANTS(:,31))) - exp((ALGEBRAIC(:,14)+ALGEBRAIC(:,12))./( CONSTANTS(:,30).*CONSTANTS(:,31))));
    RATES(:,11) = ALGEBRAIC(:,19) - ALGEBRAIC(:,17);
    RATES(:,12) = ALGEBRAIC(:,17) - ALGEBRAIC(:,19);
    ALGEBRAIC(:,7) = STATES(:,4)+CONSTANTS(:,3);
    ALGEBRAIC(:,22) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,21).*ALGEBRAIC(:,7));
    ALGEBRAIC(:,13) = STATES(:,7)+CONSTANTS(:,6);
    ALGEBRAIC(:,25) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,24).*ALGEBRAIC(:,13));
    ALGEBRAIC(:,15) = STATES(:,8)+CONSTANTS(:,7);
    ALGEBRAIC(:,26) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,25).*ALGEBRAIC(:,15));
    ALGEBRAIC(:,28) =  CONSTANTS(:,12).*(exp((ALGEBRAIC(:,22)+ALGEBRAIC(:,25))./( CONSTANTS(:,30).*CONSTANTS(:,31))) - exp(ALGEBRAIC(:,26)./( CONSTANTS(:,30).*CONSTANTS(:,31))));
    RATES(:,4) =  - ALGEBRAIC(:,28);
    ALGEBRAIC(:,1) = piecewise({ sin( 2.00000.* pi.*VOI)>0.100000, 0.000100000 }, 1.00000e-06);
    ALGEBRAIC(:,3) = STATES(:,1)+ALGEBRAIC(:,1);
    ALGEBRAIC(:,20) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,18).*ALGEBRAIC(:,3));
    ALGEBRAIC(:,11) = STATES(:,6)+CONSTANTS(:,5);
    ALGEBRAIC(:,24) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,23).*ALGEBRAIC(:,11));
    ALGEBRAIC(:,29) =  CONSTANTS(:,13).*(exp(ALGEBRAIC(:,26)./( CONSTANTS(:,30).*CONSTANTS(:,31))) - exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,24)+ALGEBRAIC(:,20))./( CONSTANTS(:,30).*CONSTANTS(:,31))));
    RATES(:,8) = ALGEBRAIC(:,28) - ALGEBRAIC(:,29);
    ALGEBRAIC(:,9) = STATES(:,5)+CONSTANTS(:,4);
    ALGEBRAIC(:,23) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,22).*ALGEBRAIC(:,9));
    ALGEBRAIC(:,18) = STATES(:,9)+CONSTANTS(:,8);
    ALGEBRAIC(:,27) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,26).*ALGEBRAIC(:,18));
    ALGEBRAIC(:,30) =  CONSTANTS(:,14).*(exp((ALGEBRAIC(:,23)+ALGEBRAIC(:,25))./( CONSTANTS(:,30).*CONSTANTS(:,31))) - exp(ALGEBRAIC(:,27)./( CONSTANTS(:,30).*CONSTANTS(:,31))));
    RATES(:,5) =  - ALGEBRAIC(:,30);
    ALGEBRAIC(:,5) = STATES(:,3)+CONSTANTS(:,2);
    ALGEBRAIC(:,21) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,20).*ALGEBRAIC(:,5));
    ALGEBRAIC(:,31) =  CONSTANTS(:,15).*(exp(ALGEBRAIC(:,27)./( CONSTANTS(:,30).*CONSTANTS(:,31))) - exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,24)+ALGEBRAIC(:,20)+ALGEBRAIC(:,21))./( CONSTANTS(:,30).*CONSTANTS(:,31))));
    RATES(:,1) = ALGEBRAIC(:,29)+ALGEBRAIC(:,31);
    RATES(:,3) = ALGEBRAIC(:,31);
    RATES(:,6) = ALGEBRAIC(:,29)+ALGEBRAIC(:,31);
    RATES(:,7) = ((ALGEBRAIC(:,29)+ALGEBRAIC(:,31)) - ALGEBRAIC(:,28)) - ALGEBRAIC(:,30);
    RATES(:,9) = ALGEBRAIC(:,30) - ALGEBRAIC(:,31);
   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(:,2) = STATES(:,2)+CONSTANTS(:,1);
    ALGEBRAIC(:,10) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,19).*ALGEBRAIC(:,2));
    ALGEBRAIC(:,6) = STATES(:,11)+CONSTANTS(:,10);
    ALGEBRAIC(:,14) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,28).*ALGEBRAIC(:,6));
    ALGEBRAIC(:,8) = STATES(:,12)+CONSTANTS(:,11);
    ALGEBRAIC(:,16) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,29).*ALGEBRAIC(:,8));
    ALGEBRAIC(:,17) =  CONSTANTS(:,16).*(exp((ALGEBRAIC(:,10)+ALGEBRAIC(:,14))./( CONSTANTS(:,30).*CONSTANTS(:,31))) - exp(ALGEBRAIC(:,16)./( CONSTANTS(:,30).*CONSTANTS(:,31))));
    ALGEBRAIC(:,4) = STATES(:,10)+CONSTANTS(:,9);
    ALGEBRAIC(:,12) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,27).*ALGEBRAIC(:,4));
    ALGEBRAIC(:,19) =  CONSTANTS(:,17).*(exp(ALGEBRAIC(:,16)./( CONSTANTS(:,30).*CONSTANTS(:,31))) - exp((ALGEBRAIC(:,14)+ALGEBRAIC(:,12))./( CONSTANTS(:,30).*CONSTANTS(:,31))));
    ALGEBRAIC(:,7) = STATES(:,4)+CONSTANTS(:,3);
    ALGEBRAIC(:,22) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,21).*ALGEBRAIC(:,7));
    ALGEBRAIC(:,13) = STATES(:,7)+CONSTANTS(:,6);
    ALGEBRAIC(:,25) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,24).*ALGEBRAIC(:,13));
    ALGEBRAIC(:,15) = STATES(:,8)+CONSTANTS(:,7);
    ALGEBRAIC(:,26) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,25).*ALGEBRAIC(:,15));
    ALGEBRAIC(:,28) =  CONSTANTS(:,12).*(exp((ALGEBRAIC(:,22)+ALGEBRAIC(:,25))./( CONSTANTS(:,30).*CONSTANTS(:,31))) - exp(ALGEBRAIC(:,26)./( CONSTANTS(:,30).*CONSTANTS(:,31))));
    ALGEBRAIC(:,1) = piecewise({ sin( 2.00000.* pi.*VOI)>0.100000, 0.000100000 }, 1.00000e-06);
    ALGEBRAIC(:,3) = STATES(:,1)+ALGEBRAIC(:,1);
    ALGEBRAIC(:,20) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,18).*ALGEBRAIC(:,3));
    ALGEBRAIC(:,11) = STATES(:,6)+CONSTANTS(:,5);
    ALGEBRAIC(:,24) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,23).*ALGEBRAIC(:,11));
    ALGEBRAIC(:,29) =  CONSTANTS(:,13).*(exp(ALGEBRAIC(:,26)./( CONSTANTS(:,30).*CONSTANTS(:,31))) - exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,24)+ALGEBRAIC(:,20))./( CONSTANTS(:,30).*CONSTANTS(:,31))));
    ALGEBRAIC(:,9) = STATES(:,5)+CONSTANTS(:,4);
    ALGEBRAIC(:,23) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,22).*ALGEBRAIC(:,9));
    ALGEBRAIC(:,18) = STATES(:,9)+CONSTANTS(:,8);
    ALGEBRAIC(:,27) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,26).*ALGEBRAIC(:,18));
    ALGEBRAIC(:,30) =  CONSTANTS(:,14).*(exp((ALGEBRAIC(:,23)+ALGEBRAIC(:,25))./( CONSTANTS(:,30).*CONSTANTS(:,31))) - exp(ALGEBRAIC(:,27)./( CONSTANTS(:,30).*CONSTANTS(:,31))));
    ALGEBRAIC(:,5) = STATES(:,3)+CONSTANTS(:,2);
    ALGEBRAIC(:,21) =  CONSTANTS(:,30).*CONSTANTS(:,31).*log( CONSTANTS(:,20).*ALGEBRAIC(:,5));
    ALGEBRAIC(:,31) =  CONSTANTS(:,15).*(exp(ALGEBRAIC(:,27)./( CONSTANTS(:,30).*CONSTANTS(:,31))) - exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,24)+ALGEBRAIC(:,20)+ALGEBRAIC(:,21))./( CONSTANTS(:,30).*CONSTANTS(:,31))));
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

Source
Derived from workspace BG_B1AR at changeset 3a8c75951d44.
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