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 =9;
end
% There are a total of 19 entries in each of the rate and state variable arrays.
% There are a total of 69 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('Clb2 in component Clb2 (dimensionless)');
    LEGEND_CONSTANTS(:,1) = strpad('epsilon in component Clb2 (dimensionless)');
    LEGEND_CONSTANTS(:,2) = strpad('Jm in component Clb2 (dimensionless)');
    LEGEND_CONSTANTS(:,3) = strpad('ks_clb in component Clb2 (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,4) = strpad('kd_clb_1 in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,5) = strpad('kd_clb_2 in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,6) = strpad('kd_clb_3 in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_ALGEBRAIC(:,9) = strpad('kswe in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_ALGEBRAIC(:,8) = strpad('kmih in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,7) = strpad('kass in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,8) = strpad('kdiss in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,9) = strpad('kd_sic in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,10) = strpad('kd_sic_1 in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,11) = strpad('kd_sic_2 in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_STATES(:,2) = strpad('M in component M (dimensionless)');
    LEGEND_STATES(:,3) = strpad('Mcm_a in component Mcm_a (dimensionless)');
    LEGEND_STATES(:,4) = strpad('Cdh1_a in component Cdh1_a (dimensionless)');
    LEGEND_STATES(:,5) = strpad('Cdc20_a in component Cdc20_a (dimensionless)');
    LEGEND_STATES(:,6) = strpad('Sic1 in component Sic1 (dimensionless)');
    LEGEND_STATES(:,7) = strpad('PClb2 in component PClb2 (dimensionless)');
    LEGEND_STATES(:,8) = strpad('Trim in component Trim (dimensionless)');
    LEGEND_STATES(:,9) = strpad('Cln in component Cln (dimensionless)');
    LEGEND_STATES(:,10) = strpad('PTrim in component PTrim (dimensionless)');
    LEGEND_CONSTANTS(:,12) = strpad('Ji_mcm in component Mcm_a (dimensionless)');
    LEGEND_CONSTANTS(:,13) = strpad('Ja_mcm in component Mcm_a (dimensionless)');
    LEGEND_CONSTANTS(:,14) = strpad('ki_mcm in component Mcm_a (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,15) = strpad('ka_mcm in component Mcm_a (first_order_rate_constant)');
    LEGEND_ALGEBRAIC(:,1) = strpad('Mcm in component Mcm (dimensionless)');
    LEGEND_CONSTANTS(:,16) = strpad('ks_sic in component Sic1 (first_order_rate_constant)');
    LEGEND_STATES(:,11) = strpad('Mih1_a in component Mih1_a (dimensionless)');
    LEGEND_CONSTANTS(:,17) = strpad('Ji_mih in component Mih1_a (dimensionless)');
    LEGEND_CONSTANTS(:,18) = strpad('Ja_mih in component Mih1_a (dimensionless)');
    LEGEND_CONSTANTS(:,19) = strpad('Vi_mih in component Mih1_a (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,20) = strpad('Va_mih in component Mih1_a (first_order_rate_constant)');
    LEGEND_ALGEBRAIC(:,2) = strpad('Mih1 in component Mih1 (dimensionless)');
    LEGEND_STATES(:,12) = strpad('IE_a in component IE_a (dimensionless)');
    LEGEND_CONSTANTS(:,21) = strpad('Ji_ie in component IE_a (dimensionless)');
    LEGEND_CONSTANTS(:,22) = strpad('Ja_ie in component IE_a (dimensionless)');
    LEGEND_CONSTANTS(:,23) = strpad('ki_ie in component IE_a (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,24) = strpad('ka_ie in component IE_a (first_order_rate_constant)');
    LEGEND_ALGEBRAIC(:,3) = strpad('IE in component IE (dimensionless)');
    LEGEND_CONSTANTS(:,25) = strpad('Ji_cdc20 in component kinetic_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,26) = strpad('Ja_cdc20 in component kinetic_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,27) = strpad('ki_cdc20 in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,28) = strpad('kd_cdc20 in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,29) = strpad('ka_cdc20 in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_STATES(:,13) = strpad('Cdc20 in component Cdc20 (dimensionless)');
    LEGEND_CONSTANTS(:,30) = strpad('ks_cdc20_1 in component Cdc20 (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,31) = strpad('ks_cdc20_2 in component Cdc20 (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,32) = strpad('Js_cdc20 in component Cdc20 (dimensionless)');
    LEGEND_CONSTANTS(:,33) = strpad('Ji_cdh in component Cdh1_a (dimensionless)');
    LEGEND_CONSTANTS(:,34) = strpad('Ja_cdh in component Cdh1_a (dimensionless)');
    LEGEND_CONSTANTS(:,35) = strpad('ki_cdh in component Cdh1_a (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,36) = strpad('ka_cdh_1 in component Cdh1_a (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,37) = strpad('ki_cdh_1 in component Cdh1_a (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,38) = strpad('ka_cdh_2 in component Cdh1_a (first_order_rate_constant)');
    LEGEND_ALGEBRAIC(:,4) = strpad('Cdh1 in component Cdh1 (dimensionless)');
    LEGEND_CONSTANTS(:,39) = strpad('ks_cln in component Cln (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,40) = strpad('kd_cln in component Cln (first_order_rate_constant)');
    LEGEND_STATES(:,14) = strpad('SBF_a in component SBF_a (dimensionless)');
    LEGEND_CONSTANTS(:,41) = strpad('Ji_sbf in component SBF_a (dimensionless)');
    LEGEND_CONSTANTS(:,42) = strpad('Ja_sbf in component SBF_a (dimensionless)');
    LEGEND_CONSTANTS(:,43) = strpad('ki_sbf_1 in component SBF_a (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,44) = strpad('ka_sbf_1 in component SBF_a (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,45) = strpad('ki_sbf_2 in component SBF_a (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,46) = strpad('ka_sbf_2 in component SBF_a (first_order_rate_constant)');
    LEGEND_ALGEBRAIC(:,5) = strpad('SBF in component SBF (dimensionless)');
    LEGEND_STATES(:,15) = strpad('Swe1 in component Swe1 (dimensionless)');
    LEGEND_CONSTANTS(:,47) = strpad('ks_swe in component Swe1 (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,48) = strpad('ks_sweC in component Swe1 (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,49) = strpad('khsl1 in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,50) = strpad('khsl1r in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,51) = strpad('kd_swe_1 in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,52) = strpad('Ji_wee in component kinetic_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,53) = strpad('Ja_wee in component kinetic_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,54) = strpad('Vi_wee in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,55) = strpad('Va_wee in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_ALGEBRAIC(:,6) = strpad('BUD in component BUD (dimensionless)');
    LEGEND_STATES(:,16) = strpad('PSwe1 in component PSwe1 (dimensionless)');
    LEGEND_STATES(:,17) = strpad('Swe1M in component Swe1M (dimensionless)');
    LEGEND_STATES(:,18) = strpad('PSwe1M in component PSwe1M (dimensionless)');
    LEGEND_CONSTANTS(:,56) = strpad('kd_swe_2 in component PSwe1M (first_order_rate_constant)');
    LEGEND_STATES(:,19) = strpad('BE in component BE (dimensionless)');
    LEGEND_CONSTANTS(:,57) = strpad('ks_bud in component BE (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,58) = strpad('kd_bud in component BE (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,59) = strpad('mu in component M (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,60) = strpad('IE_total in component IE (dimensionless)');
    LEGEND_CONSTANTS(:,61) = strpad('Cdh1_total in component Cdh1 (dimensionless)');
    LEGEND_CONSTANTS(:,62) = strpad('Mih1_total in component Mih1 (dimensionless)');
    LEGEND_CONSTANTS(:,63) = strpad('Mcm_total in component Mcm (dimensionless)');
    LEGEND_CONSTANTS(:,64) = strpad('SBF_total in component SBF (dimensionless)');
    LEGEND_ALGEBRAIC(:,7) = strpad('Swe1_total in component Swe1_total (dimensionless)');
    LEGEND_CONSTANTS(:,65) = strpad('kswe_1 in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,66) = strpad('kswe_2 in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,67) = strpad('kswe_3 in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,68) = strpad('kmih_1 in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,69) = strpad('kmih_2 in component kinetic_parameters (first_order_rate_constant)');
    LEGEND_RATES(:,1) = strpad('d/dt Clb2 in component Clb2 (dimensionless)');
    LEGEND_RATES(:,7) = strpad('d/dt PClb2 in component PClb2 (dimensionless)');
    LEGEND_RATES(:,8) = strpad('d/dt Trim in component Trim (dimensionless)');
    LEGEND_RATES(:,10) = strpad('d/dt PTrim in component PTrim (dimensionless)');
    LEGEND_RATES(:,3) = strpad('d/dt Mcm_a in component Mcm_a (dimensionless)');
    LEGEND_RATES(:,6) = strpad('d/dt Sic1 in component Sic1 (dimensionless)');
    LEGEND_RATES(:,11) = strpad('d/dt Mih1_a in component Mih1_a (dimensionless)');
    LEGEND_RATES(:,12) = strpad('d/dt IE_a in component IE_a (dimensionless)');
    LEGEND_RATES(:,5) = strpad('d/dt Cdc20_a in component Cdc20_a (dimensionless)');
    LEGEND_RATES(:,13) = strpad('d/dt Cdc20 in component Cdc20 (dimensionless)');
    LEGEND_RATES(:,4) = strpad('d/dt Cdh1_a in component Cdh1_a (dimensionless)');
    LEGEND_RATES(:,9) = strpad('d/dt Cln in component Cln (dimensionless)');
    LEGEND_RATES(:,14) = strpad('d/dt SBF_a in component SBF_a (dimensionless)');
    LEGEND_RATES(:,15) = strpad('d/dt Swe1 in component Swe1 (dimensionless)');
    LEGEND_RATES(:,16) = strpad('d/dt PSwe1 in component PSwe1 (dimensionless)');
    LEGEND_RATES(:,17) = strpad('d/dt Swe1M in component Swe1M (dimensionless)');
    LEGEND_RATES(:,18) = strpad('d/dt PSwe1M in component PSwe1M (dimensionless)');
    LEGEND_RATES(:,19) = strpad('d/dt BE in component BE (dimensionless)');
    LEGEND_RATES(:,2) = strpad('d/dt M in component M (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) = 0.184;
    CONSTANTS(:,1) = 0.5;
    CONSTANTS(:,2) = 10;
    CONSTANTS(:,3) = 0.015;
    CONSTANTS(:,4) = 0.015;
    CONSTANTS(:,5) = 1;
    CONSTANTS(:,6) = 0.1;
    CONSTANTS(:,7) = 300;
    CONSTANTS(:,8) = 0.1;
    CONSTANTS(:,9) = 0.01;
    CONSTANTS(:,10) = 1;
    CONSTANTS(:,11) = 3;
    STATES(:,2) = 0.802;
    STATES(:,3) = 0.933;
    STATES(:,4) = 0.993;
    STATES(:,5) = 1.438;
    STATES(:,6) = 0.003;
    STATES(:,7) = 0;
    STATES(:,8) = 0.084;
    STATES(:,9) = 0.054;
    STATES(:,10) = 0;
    CONSTANTS(:,12) = 0.1;
    CONSTANTS(:,13) = 0.1;
    CONSTANTS(:,14) = 0.15;
    CONSTANTS(:,15) = 1;
    CONSTANTS(:,16) = 0.1;
    STATES(:,11) = 0.808;
    CONSTANTS(:,17) = 0.1;
    CONSTANTS(:,18) = 0.1;
    CONSTANTS(:,19) = 0.3;
    CONSTANTS(:,20) = 1;
    STATES(:,12) = 0.522;
    CONSTANTS(:,21) = 0.01;
    CONSTANTS(:,22) = 0.01;
    CONSTANTS(:,23) = 0.04;
    CONSTANTS(:,24) = 0.1;
    CONSTANTS(:,25) = 0.001;
    CONSTANTS(:,26) = 0.001;
    CONSTANTS(:,27) = 0.25;
    CONSTANTS(:,28) = 0.1;
    CONSTANTS(:,29) = 1;
    STATES(:,13) = 1.172;
    CONSTANTS(:,30) = 0.005;
    CONSTANTS(:,31) = 0.3;
    CONSTANTS(:,32) = 0.3;
    CONSTANTS(:,33) = 0.01;
    CONSTANTS(:,34) = 0.01;
    CONSTANTS(:,35) = 35;
    CONSTANTS(:,36) = 1;
    CONSTANTS(:,37) = 2;
    CONSTANTS(:,38) = 10;
    CONSTANTS(:,39) = 0.1;
    CONSTANTS(:,40) = 0.1;
    STATES(:,14) = 0.124;
    CONSTANTS(:,41) = 0.01;
    CONSTANTS(:,42) = 0.01;
    CONSTANTS(:,43) = 1;
    CONSTANTS(:,44) = 1;
    CONSTANTS(:,45) = 2;
    CONSTANTS(:,46) = 0;
    STATES(:,15) = 0;
    CONSTANTS(:,47) = 0.0025;
    CONSTANTS(:,48) = 0;
    CONSTANTS(:,49) = 1;
    CONSTANTS(:,50) = 0.01;
    CONSTANTS(:,51) = 0.007;
    CONSTANTS(:,52) = 0.05;
    CONSTANTS(:,53) = 0.05;
    CONSTANTS(:,54) = 1;
    CONSTANTS(:,55) = 0.3;
    STATES(:,16) = 0;
    STATES(:,17) = 0.018;
    STATES(:,18) = 0.013;
    CONSTANTS(:,56) = 0.05;
    STATES(:,19) = 0;
    CONSTANTS(:,57) = 0.1;
    CONSTANTS(:,58) = 0.1;
    CONSTANTS(:,59) = 0.005;
    CONSTANTS(:,60) = 1;
    CONSTANTS(:,61) = 1;
    CONSTANTS(:,62) = 1;
    CONSTANTS(:,63) = 1;
    CONSTANTS(:,64) = 1;
    CONSTANTS(:,65) = 2;
    CONSTANTS(:,66) = 0.01;
    CONSTANTS(:,67) = 0.2;
    CONSTANTS(:,68) = 5;
    CONSTANTS(:,69) = 0.5;
    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
    RATES(:,6) = (CONSTANTS(:,16)+ CONSTANTS(:,8).*(STATES(:,10)+STATES(:,8))+ (CONSTANTS(:,4)+ CONSTANTS(:,5).*STATES(:,4)+ CONSTANTS(:,6).*STATES(:,5)).*(STATES(:,10)+STATES(:,8))) - ( (CONSTANTS(:,9)+ CONSTANTS(:,10).*STATES(:,9)+ CONSTANTS(:,11).*STATES(:,1)).*STATES(:,6)+ CONSTANTS(:,7).*STATES(:,6).*(STATES(:,1)+STATES(:,7)));
    RATES(:,5) = ( CONSTANTS(:,29).*STATES(:,12).*STATES(:,13))./(CONSTANTS(:,26)+STATES(:,13)) - (( CONSTANTS(:,27).*STATES(:,5))./(CONSTANTS(:,25)+STATES(:,5))+ CONSTANTS(:,28).*STATES(:,5));
    RATES(:,13) = (CONSTANTS(:,30)+( CONSTANTS(:,31).*power(STATES(:,1), 4.00000))./(power(CONSTANTS(:,32), 4.00000)+power(STATES(:,1), 4.00000))+( CONSTANTS(:,27).*STATES(:,5))./(CONSTANTS(:,25)+STATES(:,5))) - (( CONSTANTS(:,29).*STATES(:,12).*STATES(:,13))./(CONSTANTS(:,26)+STATES(:,13))+ CONSTANTS(:,28).*STATES(:,13));
    RATES(:,9) =  CONSTANTS(:,39).*STATES(:,14) -  CONSTANTS(:,40).*STATES(:,9);
    RATES(:,19) =  CONSTANTS(:,57).*STATES(:,9) -  CONSTANTS(:,58).*STATES(:,19);
    RATES(:,2) =  CONSTANTS(:,59).*STATES(:,2);
    ALGEBRAIC(:,1) = CONSTANTS(:,63) - STATES(:,3);
    RATES(:,3) = (  - CONSTANTS(:,14).*STATES(:,3))./(CONSTANTS(:,12)+STATES(:,3))+( CONSTANTS(:,15).*ALGEBRAIC(:,1).*STATES(:,1))./(CONSTANTS(:,13)+ALGEBRAIC(:,1));
    ALGEBRAIC(:,2) = CONSTANTS(:,62) - STATES(:,11);
    RATES(:,11) = (  - CONSTANTS(:,19).*STATES(:,11))./(CONSTANTS(:,17)+STATES(:,11))+( CONSTANTS(:,20).*STATES(:,1).*ALGEBRAIC(:,2))./(CONSTANTS(:,18)+ALGEBRAIC(:,2));
    ALGEBRAIC(:,3) = CONSTANTS(:,60) - STATES(:,12);
    RATES(:,12) = (  - CONSTANTS(:,23).*STATES(:,12))./(CONSTANTS(:,21)+STATES(:,12))+( CONSTANTS(:,24).*STATES(:,1).*ALGEBRAIC(:,3))./(CONSTANTS(:,22)+ALGEBRAIC(:,3));
    ALGEBRAIC(:,4) = CONSTANTS(:,61) - STATES(:,4);
    RATES(:,4) = (  - ( CONSTANTS(:,35).*STATES(:,1)+ CONSTANTS(:,37).*STATES(:,9)).*STATES(:,4))./(CONSTANTS(:,33)+STATES(:,4))+( (CONSTANTS(:,36)+ CONSTANTS(:,38).*STATES(:,5)).*ALGEBRAIC(:,4))./(CONSTANTS(:,34)+ALGEBRAIC(:,4));
    ALGEBRAIC(:,5) = CONSTANTS(:,64) - STATES(:,14);
    RATES(:,14) = (  - (CONSTANTS(:,43)+ CONSTANTS(:,45).*STATES(:,1)).*STATES(:,14))./(CONSTANTS(:,41)+STATES(:,14))+( ( CONSTANTS(:,44).*STATES(:,2)+ CONSTANTS(:,46).*STATES(:,9)).*ALGEBRAIC(:,5))./(CONSTANTS(:,42)+ALGEBRAIC(:,5));
    ALGEBRAIC(:,6) = piecewise({STATES(:,19)<=0.600000&STATES(:,1)<0.200000, 0.00000 }, 1.00000);
    RATES(:,15) = ( CONSTANTS(:,47).*STATES(:,14)+CONSTANTS(:,48)+ CONSTANTS(:,50).*STATES(:,17)+( CONSTANTS(:,55).*STATES(:,16))./(CONSTANTS(:,53)+STATES(:,16))) - ( CONSTANTS(:,49).*ALGEBRAIC(:,6).*STATES(:,15)+( CONSTANTS(:,54).*STATES(:,1).*STATES(:,15))./(CONSTANTS(:,52)+STATES(:,15))+ CONSTANTS(:,51).*STATES(:,15));
    RATES(:,16) = ( CONSTANTS(:,50).*STATES(:,18)+( CONSTANTS(:,54).*STATES(:,15).*STATES(:,1))./(CONSTANTS(:,52)+STATES(:,15))) - ( CONSTANTS(:,49).*ALGEBRAIC(:,6).*STATES(:,16)+( CONSTANTS(:,55).*STATES(:,16))./(CONSTANTS(:,53)+STATES(:,16))+ CONSTANTS(:,51).*STATES(:,16));
    RATES(:,17) = ( CONSTANTS(:,49).*ALGEBRAIC(:,6).*STATES(:,15)+( CONSTANTS(:,55).*STATES(:,18))./(CONSTANTS(:,53)+STATES(:,18))) - ( CONSTANTS(:,50).*STATES(:,17)+( CONSTANTS(:,54).*STATES(:,1).*STATES(:,17))./(CONSTANTS(:,52)+STATES(:,17))+ CONSTANTS(:,51).*STATES(:,17));
    RATES(:,18) = ( CONSTANTS(:,49).*ALGEBRAIC(:,6).*STATES(:,16)+( CONSTANTS(:,54).*STATES(:,1).*STATES(:,17))./(CONSTANTS(:,52)+STATES(:,17))) - ( CONSTANTS(:,50).*STATES(:,18)+( CONSTANTS(:,55).*STATES(:,18))./(CONSTANTS(:,53)+STATES(:,18))+ CONSTANTS(:,56).*STATES(:,18));
    ALGEBRAIC(:,9) =  CONSTANTS(:,65).*STATES(:,15)+ CONSTANTS(:,66).*STATES(:,17)+ CONSTANTS(:,67).*STATES(:,16);
    ALGEBRAIC(:,8) =  CONSTANTS(:,68).*STATES(:,11)+ CONSTANTS(:,69).*ALGEBRAIC(:,2);
    RATES(:,1) = (( CONSTANTS(:,3).*(CONSTANTS(:,1)+STATES(:,3)).*STATES(:,2))./(1.00000+STATES(:,2)./CONSTANTS(:,2))+ ALGEBRAIC(:,8).*STATES(:,7)+ CONSTANTS(:,8).*STATES(:,8)+ (CONSTANTS(:,9)+ CONSTANTS(:,10).*STATES(:,9)+ CONSTANTS(:,11).*STATES(:,1)).*STATES(:,8)) - ( (CONSTANTS(:,4)+ CONSTANTS(:,5).*STATES(:,4)+ CONSTANTS(:,6).*STATES(:,5)).*STATES(:,1)+ ALGEBRAIC(:,9).*STATES(:,1)+ CONSTANTS(:,7).*STATES(:,6).*STATES(:,1));
    RATES(:,7) = ( ALGEBRAIC(:,9).*STATES(:,1)+ CONSTANTS(:,8).*STATES(:,10)+ (CONSTANTS(:,9)+ CONSTANTS(:,10).*STATES(:,9)+ CONSTANTS(:,11).*STATES(:,1)).*STATES(:,10)) - ( (CONSTANTS(:,4)+ CONSTANTS(:,5).*STATES(:,4)+ CONSTANTS(:,6).*STATES(:,5)).*STATES(:,7)+ ALGEBRAIC(:,8).*STATES(:,7)+ CONSTANTS(:,7).*STATES(:,6).*STATES(:,7));
    RATES(:,8) = ( CONSTANTS(:,7).*STATES(:,6).*STATES(:,1)+ ALGEBRAIC(:,8).*STATES(:,10)) - ( CONSTANTS(:,8).*STATES(:,8)+ (CONSTANTS(:,9)+ CONSTANTS(:,10).*STATES(:,9)+ CONSTANTS(:,11).*STATES(:,1)).*STATES(:,8)+ (CONSTANTS(:,4)+ CONSTANTS(:,5).*STATES(:,4)+ CONSTANTS(:,6).*STATES(:,5)).*STATES(:,8)+ ALGEBRAIC(:,9).*STATES(:,8));
    RATES(:,10) = ( ALGEBRAIC(:,9).*STATES(:,8)+ CONSTANTS(:,7).*STATES(:,6).*STATES(:,7)) - ( CONSTANTS(:,8).*STATES(:,10)+ (CONSTANTS(:,9)+ CONSTANTS(:,10).*STATES(:,9)+ CONSTANTS(:,11).*STATES(:,1)).*STATES(:,10)+ (CONSTANTS(:,4)+ CONSTANTS(:,5).*STATES(:,4)+ CONSTANTS(:,6).*STATES(:,5)).*STATES(:,10)+ ALGEBRAIC(:,8).*STATES(:,10));
   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) = CONSTANTS(:,63) - STATES(:,3);
    ALGEBRAIC(:,2) = CONSTANTS(:,62) - STATES(:,11);
    ALGEBRAIC(:,3) = CONSTANTS(:,60) - STATES(:,12);
    ALGEBRAIC(:,4) = CONSTANTS(:,61) - STATES(:,4);
    ALGEBRAIC(:,5) = CONSTANTS(:,64) - STATES(:,14);
    ALGEBRAIC(:,6) = piecewise({STATES(:,19)<=0.600000&STATES(:,1)<0.200000, 0.00000 }, 1.00000);
    ALGEBRAIC(:,9) =  CONSTANTS(:,65).*STATES(:,15)+ CONSTANTS(:,66).*STATES(:,17)+ CONSTANTS(:,67).*STATES(:,16);
    ALGEBRAIC(:,8) =  CONSTANTS(:,68).*STATES(:,11)+ CONSTANTS(:,69).*ALGEBRAIC(:,2);
    ALGEBRAIC(:,7) = STATES(:,15)+STATES(:,16)+STATES(:,17)+STATES(:,18);
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