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 =79;
end
% There are a total of 11 entries in each of the rate and state variable arrays.
% There are a total of 75 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 (millisecond)');
    LEGEND_STATES(:,1) = strpad('Vm in component membrane (millivolt)');
    LEGEND_CONSTANTS(:,1) = strpad('cm in component membrane (femtofarad)');
    LEGEND_ALGEBRAIC(:,4) = strpad('Ica in component Ica (femtoampere)');
    LEGEND_ALGEBRAIC(:,2) = strpad('Ik in component Ik (femtoampere)');
    LEGEND_ALGEBRAIC(:,5) = strpad('Ikca in component Ikca (femtoampere)');
    LEGEND_ALGEBRAIC(:,44) = strpad('Ikatp in component Ikatp (femtoampere)');
    LEGEND_CONSTANTS(:,2) = strpad('gK in component Ik (picosiemens)');
    LEGEND_CONSTANTS(:,3) = strpad('VK in component model_parameters (millivolt)');
    LEGEND_STATES(:,2) = strpad('n in component n (dimensionless)');
    LEGEND_ALGEBRAIC(:,1) = strpad('n_infinity in component n (dimensionless)');
    LEGEND_CONSTANTS(:,4) = strpad('tau_n in component n (millisecond)');
    LEGEND_CONSTANTS(:,5) = strpad('vn in component n (millivolt)');
    LEGEND_CONSTANTS(:,6) = strpad('sn in component n (millivolt)');
    LEGEND_CONSTANTS(:,7) = strpad('gCa in component Ica (picosiemens)');
    LEGEND_CONSTANTS(:,8) = strpad('VCa in component model_parameters (millivolt)');
    LEGEND_ALGEBRAIC(:,3) = strpad('m_infinity in component m (dimensionless)');
    LEGEND_CONSTANTS(:,9) = strpad('v in component m (millivolt)');
    LEGEND_CONSTANTS(:,10) = strpad('sm in component m (millivolt)');
    LEGEND_CONSTANTS(:,11) = strpad('gkCa in component Ikca (picosiemens)');
    LEGEND_CONSTANTS(:,12) = strpad('kd in component Ikca (micromolar)');
    LEGEND_STATES(:,3) = strpad('c in component c (micromolar)');
    LEGEND_CONSTANTS(:,13) = strpad('gkATP_ in component Ikatp (picosiemens)');
    LEGEND_ALGEBRAIC(:,42) = strpad('katpo in component Ikatp (dimensionless)');
    LEGEND_ALGEBRAIC(:,7) = strpad('topo in component Ikatp (dimensionless)');
    LEGEND_ALGEBRAIC(:,40) = strpad('bottomo in component Ikatp (dimensionless)');
    LEGEND_ALGEBRAIC(:,6) = strpad('mgadp in component Ikatp (micromolar)');
    LEGEND_ALGEBRAIC(:,8) = strpad('adp3m in component Ikatp (micromolar)');
    LEGEND_ALGEBRAIC(:,37) = strpad('atp4m in component Ikatp (micromolar)');
    LEGEND_ALGEBRAIC(:,36) = strpad('atp in component atp (micromolar)');
    LEGEND_STATES(:,4) = strpad('adp in component adp (micromolar)');
    LEGEND_ALGEBRAIC(:,9) = strpad('JGPDH in component JGPDH (micromolar_millisecond)');
    LEGEND_CONSTANTS(:,14) = strpad('kGPDH in component JGPDH (micromolar_millisecond)');
    LEGEND_STATES(:,5) = strpad('FBP in component FBP (micromolar)');
    LEGEND_STATES(:,6) = strpad('G6P in component G6P (micromolar)');
    LEGEND_CONSTANTS(:,75) = strpad('JGK_ms in component JGK (micromolar_millisecond)');
    LEGEND_ALGEBRAIC(:,79) = strpad('JPFK_ms in component JPFK (micromolar_millisecond)');
    LEGEND_ALGEBRAIC(:,10) = strpad('F6P in component F6P (micromolar)');
    LEGEND_ALGEBRAIC(:,78) = strpad('JPFK in component JPFK (micromolar_second)');
    LEGEND_CONSTANTS(:,15) = strpad('bottom1 in component JPFK (dimensionless)');
    LEGEND_CONSTANTS(:,16) = strpad('topa1 in component JPFK (dimensionless)');
    LEGEND_CONSTANTS(:,17) = strpad('k1 in component JPFK (micromolar)');
    LEGEND_CONSTANTS(:,18) = strpad('k2 in component JPFK (micromolar)');
    LEGEND_CONSTANTS(:,19) = strpad('k3 in component JPFK (micromolar)');
    LEGEND_CONSTANTS(:,20) = strpad('k4 in component JPFK (micromolar)');
    LEGEND_CONSTANTS(:,21) = strpad('VmaxPFK in component JPFK (micromolar_millisecond)');
    LEGEND_ALGEBRAIC(:,38) = strpad('weight2 in component JPFK (dimensionless)');
    LEGEND_CONSTANTS(:,72) = strpad('topa2 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,41) = strpad('bottom2 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,14) = strpad('topa3 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,12) = strpad('weight3 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,43) = strpad('bottom3 in component JPFK (dimensionless)');
    LEGEND_CONSTANTS(:,22) = strpad('f13 in component JPFK (dimensionless)');
    LEGEND_CONSTANTS(:,23) = strpad('f43 in component JPFK (dimensionless)');
    LEGEND_CONSTANTS(:,24) = strpad('f23 in component JPFK (dimensionless)');
    LEGEND_CONSTANTS(:,25) = strpad('f42 in component JPFK (dimensionless)');
    LEGEND_CONSTANTS(:,26) = strpad('f41 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,45) = strpad('weight4 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,46) = strpad('topa4 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,47) = strpad('bottom4 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,16) = strpad('weight5 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,48) = strpad('topa5 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,49) = strpad('bottom5 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,50) = strpad('weight6 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,51) = strpad('topa6 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,52) = strpad('bottom6 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,17) = strpad('weight7 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,53) = strpad('topa7 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,54) = strpad('bottom7 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,55) = strpad('weight8 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,56) = strpad('topa8 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,57) = strpad('bottom8 in component JPFK (dimensionless)');
    LEGEND_CONSTANTS(:,74) = strpad('weight9 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,58) = strpad('topa9 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,59) = strpad('bottom9 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,60) = strpad('weight10 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,61) = strpad('topa10 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,62) = strpad('bottom10 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,18) = strpad('weight11 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,63) = strpad('topa11 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,64) = strpad('bottom11 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,65) = strpad('weight12 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,66) = strpad('topa12 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,67) = strpad('bottom12 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,19) = strpad('weight13 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,68) = strpad('topa13 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,69) = strpad('bottom13 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,70) = strpad('weight14 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,71) = strpad('topa14 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,72) = strpad('bottom14 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,20) = strpad('weight15 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,73) = strpad('topa15 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,74) = strpad('bottom15 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,75) = strpad('weight16 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,76) = strpad('topa16 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,77) = strpad('bottom16 in component JPFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,21) = strpad('topb in component JPFK (dimensionless)');
    LEGEND_CONSTANTS(:,27) = strpad('AMP in component model_parameters (micromolar)');
    LEGEND_CONSTANTS(:,28) = strpad('lambda in component JPFK (dimensionless)');
    LEGEND_CONSTANTS(:,29) = strpad('kappa in component model_parameters (dimensionless)');
    LEGEND_ALGEBRAIC(:,15) = strpad('JPDH in component JPDH (micromolar_millisecond)');
    LEGEND_CONSTANTS(:,30) = strpad('p1 in component JPDH (dimensionless)');
    LEGEND_CONSTANTS(:,31) = strpad('p2 in component JPDH (dimensionless)');
    LEGEND_CONSTANTS(:,32) = strpad('p3 in component JPDH (micromolar)');
    LEGEND_CONSTANTS(:,33) = strpad('JGPDHbas in component JPDH (micromolar_millisecond)');
    LEGEND_ALGEBRAIC(:,13) = strpad('NADm in component NADm (millimolar)');
    LEGEND_STATES(:,7) = strpad('Cam in component Cam (micromolar)');
    LEGEND_STATES(:,8) = strpad('NADHm in component NADHm (millimolar)');
    LEGEND_CONSTANTS(:,34) = strpad('gamma in component model_parameters (dimensionless)');
    LEGEND_ALGEBRAIC(:,11) = strpad('JO in component JO (micromolar_millisecond)');
    LEGEND_CONSTANTS(:,35) = strpad('p4 in component JO (micromolar_millisecond)');
    LEGEND_CONSTANTS(:,36) = strpad('p5 in component JO (millimolar)');
    LEGEND_CONSTANTS(:,37) = strpad('p6 in component JO (millivolt)');
    LEGEND_CONSTANTS(:,38) = strpad('p7 in component JO (millivolt)');
    LEGEND_STATES(:,9) = strpad('delta_psi in component delta_psi (millivolt)');
    LEGEND_CONSTANTS(:,39) = strpad('NADmtot in component NADm (millimolar)');
    LEGEND_CONSTANTS(:,40) = strpad('Cmito in component delta_psi (micromolar_millivolt)');
    LEGEND_ALGEBRAIC(:,22) = strpad('JHres in component JHres (micromolar_millisecond)');
    LEGEND_ALGEBRAIC(:,30) = strpad('JHatp in component JHatp (micromolar_millisecond)');
    LEGEND_ALGEBRAIC(:,34) = strpad('JANT in component JANT (micromolar_millisecond)');
    LEGEND_ALGEBRAIC(:,23) = strpad('JHleak in component JHleak (micromolar_millisecond)');
    LEGEND_ALGEBRAIC(:,25) = strpad('JNaCa in component JNaCa (micromolar_millisecond)');
    LEGEND_ALGEBRAIC(:,24) = strpad('Juni in component Juni (micromolar_millisecond)');
    LEGEND_CONSTANTS(:,41) = strpad('p8 in component JHres (micromolar_millisecond)');
    LEGEND_CONSTANTS(:,42) = strpad('p9 in component JHres (millimolar)');
    LEGEND_CONSTANTS(:,43) = strpad('p10 in component JHres (millivolt)');
    LEGEND_CONSTANTS(:,44) = strpad('p11 in component JHres (millivolt)');
    LEGEND_ALGEBRAIC(:,28) = strpad('JF1F0 in component JF1F0 (micromolar_millisecond)');
    LEGEND_CONSTANTS(:,45) = strpad('p13 in component JF1F0 (millimolar)');
    LEGEND_CONSTANTS(:,46) = strpad('p14 in component JF1F0 (millivolt)');
    LEGEND_CONSTANTS(:,47) = strpad('p15 in component JF1F0 (millivolt)');
    LEGEND_CONSTANTS(:,48) = strpad('p16 in component JF1F0 (micromolar_millisecond)');
    LEGEND_ALGEBRAIC(:,26) = strpad('ATPm in component ATPm (millimolar)');
    LEGEND_CONSTANTS(:,49) = strpad('JGK in component JGK (micromolar_second)');
    LEGEND_CONSTANTS(:,50) = strpad('p17 in component JHleak (micromolar_millisecond_millivolt)');
    LEGEND_CONSTANTS(:,51) = strpad('p18 in component JHleak (micromolar_millisecond)');
    LEGEND_CONSTANTS(:,52) = strpad('p19 in component JANT (micromolar_millisecond)');
    LEGEND_CONSTANTS(:,53) = strpad('p20 in component JANT (dimensionless)');
    LEGEND_CONSTANTS(:,54) = strpad('FRT in component JANT (per_millivolt)');
    LEGEND_ALGEBRAIC(:,32) = strpad('RATm in component RATm (dimensionless)');
    LEGEND_STATES(:,10) = strpad('ADPm in component ADPm (millimolar)');
    LEGEND_CONSTANTS(:,55) = strpad('p21 in component Juni (per_micromolar_millisecond_millivolt)');
    LEGEND_CONSTANTS(:,56) = strpad('p22 in component Juni (second_order_rate_constant)');
    LEGEND_CONSTANTS(:,57) = strpad('p23 in component JNaCa (micromolar_millisecond)');
    LEGEND_CONSTANTS(:,58) = strpad('p24 in component JNaCa (per_millivolt)');
    LEGEND_CONSTANTS(:,59) = strpad('fmito in component Cam (dimensionless)');
    LEGEND_ALGEBRAIC(:,27) = strpad('Jmito in component Jmito (micromolar_millisecond)');
    LEGEND_CONSTANTS(:,60) = strpad('Amtot in component ATPm (millimolar)');
    LEGEND_CONSTANTS(:,73) = strpad('delta in component model_parameters (dimensionless)');
    LEGEND_ALGEBRAIC(:,39) = strpad('Jhyd in component Jhyd (micromolar_millisecond)');
    LEGEND_CONSTANTS(:,61) = strpad('khyd in component Jhyd (second_order_rate_constant)');
    LEGEND_CONSTANTS(:,62) = strpad('khydbas in component Jhyd (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,63) = strpad('atot in component atp (micromolar)');
    LEGEND_CONSTANTS(:,64) = strpad('fcyt in component c (dimensionless)');
    LEGEND_ALGEBRAIC(:,35) = strpad('Jer in component Jer (micromolar_millisecond)');
    LEGEND_ALGEBRAIC(:,29) = strpad('Jmem in component Jmem (micromolar_millisecond)');
    LEGEND_CONSTANTS(:,65) = strpad('kPMCA in component Jmem (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,66) = strpad('alpha in component Jmem (micromolar_millisecond_femtoampere)');
    LEGEND_CONSTANTS(:,67) = strpad('Cbas in component Jmem (micromolar)');
    LEGEND_ALGEBRAIC(:,31) = strpad('Jleak in component Jleak (micromolar_millisecond)');
    LEGEND_CONSTANTS(:,68) = strpad('pleak in component Jleak (first_order_rate_constant)');
    LEGEND_STATES(:,11) = strpad('Caer in component Caer (micromolar)');
    LEGEND_ALGEBRAIC(:,33) = strpad('JSERCA in component JSERCA (micromolar_millisecond)');
    LEGEND_CONSTANTS(:,69) = strpad('kSERCA in component JSERCA (first_order_rate_constant)');
    LEGEND_CONSTANTS(:,70) = strpad('fer in component Caer (dimensionless)');
    LEGEND_CONSTANTS(:,71) = strpad('Vc_Ver in component Caer (dimensionless)');
    LEGEND_RATES(:,1) = strpad('d/dt Vm in component membrane (millivolt)');
    LEGEND_RATES(:,2) = strpad('d/dt n in component n (dimensionless)');
    LEGEND_RATES(:,6) = strpad('d/dt G6P in component G6P (micromolar)');
    LEGEND_RATES(:,5) = strpad('d/dt FBP in component FBP (micromolar)');
    LEGEND_RATES(:,8) = strpad('d/dt NADHm in component NADHm (millimolar)');
    LEGEND_RATES(:,9) = strpad('d/dt delta_psi in component delta_psi (millivolt)');
    LEGEND_RATES(:,7) = strpad('d/dt Cam in component Cam (micromolar)');
    LEGEND_RATES(:,10) = strpad('d/dt ADPm in component ADPm (millimolar)');
    LEGEND_RATES(:,4) = strpad('d/dt adp in component adp (micromolar)');
    LEGEND_RATES(:,3) = strpad('d/dt c in component c (micromolar)');
    LEGEND_RATES(:,11) = strpad('d/dt Caer in component Caer (micromolar)');
    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) = -60.0;
    CONSTANTS(:,1) = 5300.0;
    CONSTANTS(:,2) = 2700.0;
    CONSTANTS(:,3) = -75.0;
    STATES(:,2) = 0.0;
    CONSTANTS(:,4) = 20.0;
    CONSTANTS(:,5) = -16.0;
    CONSTANTS(:,6) = 5.0;
    CONSTANTS(:,7) = 1000.0;
    CONSTANTS(:,8) = 25.0;
    CONSTANTS(:,9) = -20.0;
    CONSTANTS(:,10) = 12.0;
    CONSTANTS(:,11) = 300.0;
    CONSTANTS(:,12) = 0.5;
    STATES(:,3) = 0.17;
    CONSTANTS(:,13) = 16000.0;
    STATES(:,4) = 1137.0;
    CONSTANTS(:,14) = 0.0005;
    STATES(:,5) = 2.16;
    STATES(:,6) = 301.0;
    CONSTANTS(:,15) = 1;
    CONSTANTS(:,16) = 0;
    CONSTANTS(:,17) = 30;
    CONSTANTS(:,18) = 1;
    CONSTANTS(:,19) = 50000;
    CONSTANTS(:,20) = 1000;
    CONSTANTS(:,21) = 5.0;
    CONSTANTS(:,22) = 0.02;
    CONSTANTS(:,23) = 20;
    CONSTANTS(:,24) = 0.2;
    CONSTANTS(:,25) = 20;
    CONSTANTS(:,26) = 20;
    CONSTANTS(:,27) = 500.0;
    CONSTANTS(:,28) = 0.06;
    CONSTANTS(:,29) = 0.001;
    CONSTANTS(:,30) = 400.0;
    CONSTANTS(:,31) = 1.0;
    CONSTANTS(:,32) = 0.01;
    CONSTANTS(:,33) = 0.0005;
    STATES(:,7) = 0.2;
    STATES(:,8) = 0.4;
    CONSTANTS(:,34) = 0.001;
    CONSTANTS(:,35) = 0.6;
    CONSTANTS(:,36) = 0.1;
    CONSTANTS(:,37) = 177.0;
    CONSTANTS(:,38) = 5.0;
    STATES(:,9) = 164.0;
    CONSTANTS(:,39) = 10.0;
    CONSTANTS(:,40) = 1.8;
    CONSTANTS(:,41) = 7.0;
    CONSTANTS(:,42) = 0.1;
    CONSTANTS(:,43) = 177.0;
    CONSTANTS(:,44) = 5.0;
    CONSTANTS(:,45) = 10.0;
    CONSTANTS(:,46) = 190.0;
    CONSTANTS(:,47) = 8.5;
    CONSTANTS(:,48) = 35.0;
    CONSTANTS(:,49) = 0.4;
    CONSTANTS(:,50) = 0.002;
    CONSTANTS(:,51) = -0.03;
    CONSTANTS(:,52) = 0.35;
    CONSTANTS(:,53) = 2.0;
    CONSTANTS(:,54) = 0.037410133;
    STATES(:,10) = 11.1;
    CONSTANTS(:,55) = 0.04;
    CONSTANTS(:,56) = 1.1;
    CONSTANTS(:,57) = 0.01;
    CONSTANTS(:,58) = 0.016;
    CONSTANTS(:,59) = 0.01;
    CONSTANTS(:,60) = 15.0;
    CONSTANTS(:,61) = 0.00005;
    CONSTANTS(:,62) = 0.00005;
    CONSTANTS(:,63) = 2500.0;
    CONSTANTS(:,64) = 0.01;
    CONSTANTS(:,65) = 0.1;
    CONSTANTS(:,66) = 4.5E-6;
    CONSTANTS(:,67) = 0.05;
    CONSTANTS(:,68) = 0.0002;
    STATES(:,11) = 345.0;
    CONSTANTS(:,69) = 0.4;
    CONSTANTS(:,70) = 0.01;
    CONSTANTS(:,71) = 31.0;
    CONSTANTS(:,72) = CONSTANTS(:,16);
    CONSTANTS(:,73) = 3.90000./53.2000;
    CONSTANTS(:,74) = CONSTANTS(:,27)./CONSTANTS(:,17);
    CONSTANTS(:,75) =  CONSTANTS(:,29).*CONSTANTS(:,49);
    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(:,1) = 1.00000./(1.00000+exp((CONSTANTS(:,5) - STATES(:,1))./CONSTANTS(:,6)));
    RATES(:,2) = (ALGEBRAIC(:,1) - STATES(:,2))./CONSTANTS(:,4);
    ALGEBRAIC(:,9) =  CONSTANTS(:,14).*power(abs(STATES(:,5)./1.00000), 1.0 ./ 2);
    ALGEBRAIC(:,13) = CONSTANTS(:,39) - STATES(:,8);
    ALGEBRAIC(:,15) =  (CONSTANTS(:,30)./(CONSTANTS(:,31)+STATES(:,8)./ALGEBRAIC(:,13))).*(STATES(:,7)./(CONSTANTS(:,32)+STATES(:,7))).*(ALGEBRAIC(:,9)+CONSTANTS(:,33));
    ALGEBRAIC(:,11) = ( CONSTANTS(:,35).*(STATES(:,8)./(CONSTANTS(:,36)+STATES(:,8))))./(1.00000+exp((STATES(:,9) - CONSTANTS(:,37))./CONSTANTS(:,38)));
    RATES(:,8) =  CONSTANTS(:,34).*(ALGEBRAIC(:,15) - ALGEBRAIC(:,11));
    ALGEBRAIC(:,25) =  (CONSTANTS(:,57)./STATES(:,3)).*STATES(:,7).*exp( CONSTANTS(:,58).*STATES(:,9));
    ALGEBRAIC(:,24) =  ( CONSTANTS(:,55).*STATES(:,9) - CONSTANTS(:,56)).*power(STATES(:,3), 2.00000);
    ALGEBRAIC(:,27) = ALGEBRAIC(:,25) - ALGEBRAIC(:,24);
    RATES(:,7) =   - CONSTANTS(:,59).*ALGEBRAIC(:,27);
    ALGEBRAIC(:,22) = ( CONSTANTS(:,41).*(STATES(:,8)./(CONSTANTS(:,42)+STATES(:,8))))./(1.00000+exp((STATES(:,9) - CONSTANTS(:,43))./CONSTANTS(:,44)));
    ALGEBRAIC(:,26) = CONSTANTS(:,60) - STATES(:,10);
    ALGEBRAIC(:,28) = (( CONSTANTS(:,48).*CONSTANTS(:,45))./(CONSTANTS(:,45)+ALGEBRAIC(:,26)))./(1.00000+exp((CONSTANTS(:,46) - STATES(:,9))./CONSTANTS(:,47)));
    ALGEBRAIC(:,30) =  3.00000.*ALGEBRAIC(:,28);
    ALGEBRAIC(:,32) = ALGEBRAIC(:,26)./STATES(:,10);
    ALGEBRAIC(:,34) =  CONSTANTS(:,52).*((ALGEBRAIC(:,32)./(ALGEBRAIC(:,32)+CONSTANTS(:,53)))./exp( -0.500000.*CONSTANTS(:,54).*STATES(:,9)));
    ALGEBRAIC(:,23) =  CONSTANTS(:,50).*STATES(:,9)+CONSTANTS(:,51);
    RATES(:,9) = (ALGEBRAIC(:,22) - (ALGEBRAIC(:,30)+ALGEBRAIC(:,34)+ALGEBRAIC(:,23)+ALGEBRAIC(:,25)+ 2.00000.*ALGEBRAIC(:,24)))./CONSTANTS(:,40);
    RATES(:,10) =  CONSTANTS(:,34).*(ALGEBRAIC(:,34) - ALGEBRAIC(:,28));
    ALGEBRAIC(:,31) =  CONSTANTS(:,68).*(STATES(:,11) - STATES(:,3));
    ALGEBRAIC(:,33) =  CONSTANTS(:,69).*STATES(:,3);
    ALGEBRAIC(:,35) = ALGEBRAIC(:,31) - ALGEBRAIC(:,33);
    ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((CONSTANTS(:,9) - STATES(:,1))./CONSTANTS(:,10)));
    ALGEBRAIC(:,4) =  CONSTANTS(:,7).*ALGEBRAIC(:,3).*(STATES(:,1) - CONSTANTS(:,8));
    ALGEBRAIC(:,29) =  - ( CONSTANTS(:,66).*ALGEBRAIC(:,4)+ CONSTANTS(:,65).*(STATES(:,3) - CONSTANTS(:,67)));
    RATES(:,3) =  CONSTANTS(:,64).*(ALGEBRAIC(:,29)+ALGEBRAIC(:,35)+ CONSTANTS(:,73).*ALGEBRAIC(:,27));
    RATES(:,11) =   - CONSTANTS(:,70).*CONSTANTS(:,71).*ALGEBRAIC(:,35);
    ALGEBRAIC(:,36) = CONSTANTS(:,63) - STATES(:,4);
    ALGEBRAIC(:,39) =  ( CONSTANTS(:,61).*STATES(:,3)+CONSTANTS(:,62)).*ALGEBRAIC(:,36);
    RATES(:,4) =   - CONSTANTS(:,73).*ALGEBRAIC(:,34)+ALGEBRAIC(:,39);
    ALGEBRAIC(:,2) =  CONSTANTS(:,2).*STATES(:,2).*(STATES(:,1) - CONSTANTS(:,3));
    ALGEBRAIC(:,5) =  (CONSTANTS(:,11)./(1.00000+power(CONSTANTS(:,12)./STATES(:,3), 2.00000))).*(STATES(:,1) - CONSTANTS(:,3));
    ALGEBRAIC(:,6) =  0.165000.*STATES(:,4);
    ALGEBRAIC(:,7) =  0.0800000.*(1.00000+( 2.00000.*ALGEBRAIC(:,6))./17.0000)+ 0.890000.*power(ALGEBRAIC(:,6)./17.0000, 2.00000);
    ALGEBRAIC(:,8) =  0.135000.*STATES(:,4);
    ALGEBRAIC(:,37) =  0.0500000.*ALGEBRAIC(:,36);
    ALGEBRAIC(:,40) =  power(1.00000+ALGEBRAIC(:,6)./17.0000, 2.00000).*(1.00000+ALGEBRAIC(:,8)./26.0000+ALGEBRAIC(:,37)./1.00000);
    ALGEBRAIC(:,42) = ALGEBRAIC(:,7)./ALGEBRAIC(:,40);
    ALGEBRAIC(:,44) =  CONSTANTS(:,13).*ALGEBRAIC(:,42).*(STATES(:,1) - CONSTANTS(:,3));
    RATES(:,1) =  - (ALGEBRAIC(:,2)+ALGEBRAIC(:,4)+ALGEBRAIC(:,5)+ALGEBRAIC(:,44))./CONSTANTS(:,1);
    ALGEBRAIC(:,10) =  0.300000.*STATES(:,6);
    ALGEBRAIC(:,12) = power(ALGEBRAIC(:,10), 2.00000)./( CONSTANTS(:,19).*1.00000);
    ALGEBRAIC(:,14) = CONSTANTS(:,72)+ALGEBRAIC(:,12);
    ALGEBRAIC(:,45) = power( ALGEBRAIC(:,10).*ALGEBRAIC(:,36), 2.00000)./( CONSTANTS(:,23).*CONSTANTS(:,19).*CONSTANTS(:,20).*power(1.00000, 2.00000));
    ALGEBRAIC(:,46) = ALGEBRAIC(:,14)+ALGEBRAIC(:,45);
    ALGEBRAIC(:,48) = ALGEBRAIC(:,46);
    ALGEBRAIC(:,51) = ALGEBRAIC(:,48);
    ALGEBRAIC(:,17) = ( STATES(:,5).*power(ALGEBRAIC(:,10), 2.00000))./( CONSTANTS(:,18).*CONSTANTS(:,19).*CONSTANTS(:,24).*1.00000);
    ALGEBRAIC(:,53) = ALGEBRAIC(:,51)+ALGEBRAIC(:,17);
    ALGEBRAIC(:,55) = ( STATES(:,5).*power(ALGEBRAIC(:,10), 2.00000).*power(ALGEBRAIC(:,36), 2.00000))./( CONSTANTS(:,18).*CONSTANTS(:,19).*CONSTANTS(:,20).*CONSTANTS(:,24).*CONSTANTS(:,25).*CONSTANTS(:,23).*power(1.00000, 2.00000));
    ALGEBRAIC(:,56) = ALGEBRAIC(:,53)+ALGEBRAIC(:,55);
    ALGEBRAIC(:,58) = ALGEBRAIC(:,56);
    ALGEBRAIC(:,61) = ALGEBRAIC(:,58);
    ALGEBRAIC(:,18) = ( CONSTANTS(:,27).*power(ALGEBRAIC(:,10), 2.00000))./( CONSTANTS(:,17).*CONSTANTS(:,19).*CONSTANTS(:,22).*1.00000);
    ALGEBRAIC(:,63) = ALGEBRAIC(:,61)+ALGEBRAIC(:,18);
    ALGEBRAIC(:,65) = ( CONSTANTS(:,27).*power(ALGEBRAIC(:,10), 2.00000).*power(ALGEBRAIC(:,36), 2.00000))./( CONSTANTS(:,17).*CONSTANTS(:,19).*CONSTANTS(:,20).*CONSTANTS(:,22).*CONSTANTS(:,26).*CONSTANTS(:,23).*power(1.00000, 2.00000));
    ALGEBRAIC(:,66) = ALGEBRAIC(:,63)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,68) = ALGEBRAIC(:,66);
    ALGEBRAIC(:,71) = ALGEBRAIC(:,68);
    ALGEBRAIC(:,73) = ALGEBRAIC(:,71);
    ALGEBRAIC(:,75) = ( CONSTANTS(:,27).*STATES(:,5).*power(ALGEBRAIC(:,10), 2.00000).*power(ALGEBRAIC(:,36), 2.00000))./( CONSTANTS(:,17).*CONSTANTS(:,18).*CONSTANTS(:,19).*CONSTANTS(:,20).*CONSTANTS(:,24).*CONSTANTS(:,22).*CONSTANTS(:,25).*CONSTANTS(:,26).*CONSTANTS(:,23).*power(1.00000, 2.00000));
    ALGEBRAIC(:,76) = ALGEBRAIC(:,73)+ALGEBRAIC(:,75);
    ALGEBRAIC(:,38) = power(ALGEBRAIC(:,36), 2.00000)./( CONSTANTS(:,20).*1.00000);
    ALGEBRAIC(:,41) = CONSTANTS(:,15)+ALGEBRAIC(:,38);
    ALGEBRAIC(:,43) = ALGEBRAIC(:,41)+ALGEBRAIC(:,12);
    ALGEBRAIC(:,47) = ALGEBRAIC(:,43)+ALGEBRAIC(:,45);
    ALGEBRAIC(:,16) = STATES(:,5)./CONSTANTS(:,18);
    ALGEBRAIC(:,49) = ALGEBRAIC(:,47)+ALGEBRAIC(:,16);
    ALGEBRAIC(:,50) = ( STATES(:,5).*power(ALGEBRAIC(:,36), 2.00000))./( CONSTANTS(:,18).*CONSTANTS(:,20).*CONSTANTS(:,25).*1.00000);
    ALGEBRAIC(:,52) = ALGEBRAIC(:,49)+ALGEBRAIC(:,50);
    ALGEBRAIC(:,54) = ALGEBRAIC(:,52)+ALGEBRAIC(:,17);
    ALGEBRAIC(:,57) = ALGEBRAIC(:,54)+ALGEBRAIC(:,55);
    ALGEBRAIC(:,59) = ALGEBRAIC(:,57)+CONSTANTS(:,74);
    ALGEBRAIC(:,60) = ( CONSTANTS(:,27).*power(ALGEBRAIC(:,36), 2.00000))./( CONSTANTS(:,17).*CONSTANTS(:,20).*CONSTANTS(:,26).*1.00000);
    ALGEBRAIC(:,62) = ALGEBRAIC(:,59)+ALGEBRAIC(:,60);
    ALGEBRAIC(:,64) = ALGEBRAIC(:,62)+ALGEBRAIC(:,18);
    ALGEBRAIC(:,67) = ALGEBRAIC(:,64)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,19) = ( CONSTANTS(:,27).*STATES(:,5))./( CONSTANTS(:,17).*CONSTANTS(:,18));
    ALGEBRAIC(:,69) = ALGEBRAIC(:,67)+ALGEBRAIC(:,19);
    ALGEBRAIC(:,70) = ( CONSTANTS(:,27).*STATES(:,5).*power(ALGEBRAIC(:,36), 2.00000))./( CONSTANTS(:,17).*CONSTANTS(:,18).*CONSTANTS(:,20).*CONSTANTS(:,25).*CONSTANTS(:,26).*1.00000);
    ALGEBRAIC(:,72) = ALGEBRAIC(:,69)+ALGEBRAIC(:,70);
    ALGEBRAIC(:,20) = ( CONSTANTS(:,27).*STATES(:,5).*power(ALGEBRAIC(:,10), 2.00000))./( CONSTANTS(:,17).*CONSTANTS(:,18).*CONSTANTS(:,19).*CONSTANTS(:,24).*CONSTANTS(:,22).*1.00000);
    ALGEBRAIC(:,74) = ALGEBRAIC(:,72)+ALGEBRAIC(:,20);
    ALGEBRAIC(:,77) = ALGEBRAIC(:,74)+ALGEBRAIC(:,75);
    ALGEBRAIC(:,21) = ALGEBRAIC(:,20);
    ALGEBRAIC(:,78) = ( CONSTANTS(:,28).*CONSTANTS(:,21).*ALGEBRAIC(:,76)+ CONSTANTS(:,21).*ALGEBRAIC(:,21))./ALGEBRAIC(:,77);
    ALGEBRAIC(:,79) =  CONSTANTS(:,29).*ALGEBRAIC(:,78);
    RATES(:,6) = CONSTANTS(:,75) - ALGEBRAIC(:,79);
    RATES(:,5) = ALGEBRAIC(:,79) -  0.500000.*ALGEBRAIC(:,9);
   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) = 1.00000./(1.00000+exp((CONSTANTS(:,5) - STATES(:,1))./CONSTANTS(:,6)));
    ALGEBRAIC(:,9) =  CONSTANTS(:,14).*power(abs(STATES(:,5)./1.00000), 1.0 ./ 2);
    ALGEBRAIC(:,13) = CONSTANTS(:,39) - STATES(:,8);
    ALGEBRAIC(:,15) =  (CONSTANTS(:,30)./(CONSTANTS(:,31)+STATES(:,8)./ALGEBRAIC(:,13))).*(STATES(:,7)./(CONSTANTS(:,32)+STATES(:,7))).*(ALGEBRAIC(:,9)+CONSTANTS(:,33));
    ALGEBRAIC(:,11) = ( CONSTANTS(:,35).*(STATES(:,8)./(CONSTANTS(:,36)+STATES(:,8))))./(1.00000+exp((STATES(:,9) - CONSTANTS(:,37))./CONSTANTS(:,38)));
    ALGEBRAIC(:,25) =  (CONSTANTS(:,57)./STATES(:,3)).*STATES(:,7).*exp( CONSTANTS(:,58).*STATES(:,9));
    ALGEBRAIC(:,24) =  ( CONSTANTS(:,55).*STATES(:,9) - CONSTANTS(:,56)).*power(STATES(:,3), 2.00000);
    ALGEBRAIC(:,27) = ALGEBRAIC(:,25) - ALGEBRAIC(:,24);
    ALGEBRAIC(:,22) = ( CONSTANTS(:,41).*(STATES(:,8)./(CONSTANTS(:,42)+STATES(:,8))))./(1.00000+exp((STATES(:,9) - CONSTANTS(:,43))./CONSTANTS(:,44)));
    ALGEBRAIC(:,26) = CONSTANTS(:,60) - STATES(:,10);
    ALGEBRAIC(:,28) = (( CONSTANTS(:,48).*CONSTANTS(:,45))./(CONSTANTS(:,45)+ALGEBRAIC(:,26)))./(1.00000+exp((CONSTANTS(:,46) - STATES(:,9))./CONSTANTS(:,47)));
    ALGEBRAIC(:,30) =  3.00000.*ALGEBRAIC(:,28);
    ALGEBRAIC(:,32) = ALGEBRAIC(:,26)./STATES(:,10);
    ALGEBRAIC(:,34) =  CONSTANTS(:,52).*((ALGEBRAIC(:,32)./(ALGEBRAIC(:,32)+CONSTANTS(:,53)))./exp( -0.500000.*CONSTANTS(:,54).*STATES(:,9)));
    ALGEBRAIC(:,23) =  CONSTANTS(:,50).*STATES(:,9)+CONSTANTS(:,51);
    ALGEBRAIC(:,31) =  CONSTANTS(:,68).*(STATES(:,11) - STATES(:,3));
    ALGEBRAIC(:,33) =  CONSTANTS(:,69).*STATES(:,3);
    ALGEBRAIC(:,35) = ALGEBRAIC(:,31) - ALGEBRAIC(:,33);
    ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((CONSTANTS(:,9) - STATES(:,1))./CONSTANTS(:,10)));
    ALGEBRAIC(:,4) =  CONSTANTS(:,7).*ALGEBRAIC(:,3).*(STATES(:,1) - CONSTANTS(:,8));
    ALGEBRAIC(:,29) =  - ( CONSTANTS(:,66).*ALGEBRAIC(:,4)+ CONSTANTS(:,65).*(STATES(:,3) - CONSTANTS(:,67)));
    ALGEBRAIC(:,36) = CONSTANTS(:,63) - STATES(:,4);
    ALGEBRAIC(:,39) =  ( CONSTANTS(:,61).*STATES(:,3)+CONSTANTS(:,62)).*ALGEBRAIC(:,36);
    ALGEBRAIC(:,2) =  CONSTANTS(:,2).*STATES(:,2).*(STATES(:,1) - CONSTANTS(:,3));
    ALGEBRAIC(:,5) =  (CONSTANTS(:,11)./(1.00000+power(CONSTANTS(:,12)./STATES(:,3), 2.00000))).*(STATES(:,1) - CONSTANTS(:,3));
    ALGEBRAIC(:,6) =  0.165000.*STATES(:,4);
    ALGEBRAIC(:,7) =  0.0800000.*(1.00000+( 2.00000.*ALGEBRAIC(:,6))./17.0000)+ 0.890000.*power(ALGEBRAIC(:,6)./17.0000, 2.00000);
    ALGEBRAIC(:,8) =  0.135000.*STATES(:,4);
    ALGEBRAIC(:,37) =  0.0500000.*ALGEBRAIC(:,36);
    ALGEBRAIC(:,40) =  power(1.00000+ALGEBRAIC(:,6)./17.0000, 2.00000).*(1.00000+ALGEBRAIC(:,8)./26.0000+ALGEBRAIC(:,37)./1.00000);
    ALGEBRAIC(:,42) = ALGEBRAIC(:,7)./ALGEBRAIC(:,40);
    ALGEBRAIC(:,44) =  CONSTANTS(:,13).*ALGEBRAIC(:,42).*(STATES(:,1) - CONSTANTS(:,3));
    ALGEBRAIC(:,10) =  0.300000.*STATES(:,6);
    ALGEBRAIC(:,12) = power(ALGEBRAIC(:,10), 2.00000)./( CONSTANTS(:,19).*1.00000);
    ALGEBRAIC(:,14) = CONSTANTS(:,72)+ALGEBRAIC(:,12);
    ALGEBRAIC(:,45) = power( ALGEBRAIC(:,10).*ALGEBRAIC(:,36), 2.00000)./( CONSTANTS(:,23).*CONSTANTS(:,19).*CONSTANTS(:,20).*power(1.00000, 2.00000));
    ALGEBRAIC(:,46) = ALGEBRAIC(:,14)+ALGEBRAIC(:,45);
    ALGEBRAIC(:,48) = ALGEBRAIC(:,46);
    ALGEBRAIC(:,51) = ALGEBRAIC(:,48);
    ALGEBRAIC(:,17) = ( STATES(:,5).*power(ALGEBRAIC(:,10), 2.00000))./( CONSTANTS(:,18).*CONSTANTS(:,19).*CONSTANTS(:,24).*1.00000);
    ALGEBRAIC(:,53) = ALGEBRAIC(:,51)+ALGEBRAIC(:,17);
    ALGEBRAIC(:,55) = ( STATES(:,5).*power(ALGEBRAIC(:,10), 2.00000).*power(ALGEBRAIC(:,36), 2.00000))./( CONSTANTS(:,18).*CONSTANTS(:,19).*CONSTANTS(:,20).*CONSTANTS(:,24).*CONSTANTS(:,25).*CONSTANTS(:,23).*power(1.00000, 2.00000));
    ALGEBRAIC(:,56) = ALGEBRAIC(:,53)+ALGEBRAIC(:,55);
    ALGEBRAIC(:,58) = ALGEBRAIC(:,56);
    ALGEBRAIC(:,61) = ALGEBRAIC(:,58);
    ALGEBRAIC(:,18) = ( CONSTANTS(:,27).*power(ALGEBRAIC(:,10), 2.00000))./( CONSTANTS(:,17).*CONSTANTS(:,19).*CONSTANTS(:,22).*1.00000);
    ALGEBRAIC(:,63) = ALGEBRAIC(:,61)+ALGEBRAIC(:,18);
    ALGEBRAIC(:,65) = ( CONSTANTS(:,27).*power(ALGEBRAIC(:,10), 2.00000).*power(ALGEBRAIC(:,36), 2.00000))./( CONSTANTS(:,17).*CONSTANTS(:,19).*CONSTANTS(:,20).*CONSTANTS(:,22).*CONSTANTS(:,26).*CONSTANTS(:,23).*power(1.00000, 2.00000));
    ALGEBRAIC(:,66) = ALGEBRAIC(:,63)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,68) = ALGEBRAIC(:,66);
    ALGEBRAIC(:,71) = ALGEBRAIC(:,68);
    ALGEBRAIC(:,73) = ALGEBRAIC(:,71);
    ALGEBRAIC(:,75) = ( CONSTANTS(:,27).*STATES(:,5).*power(ALGEBRAIC(:,10), 2.00000).*power(ALGEBRAIC(:,36), 2.00000))./( CONSTANTS(:,17).*CONSTANTS(:,18).*CONSTANTS(:,19).*CONSTANTS(:,20).*CONSTANTS(:,24).*CONSTANTS(:,22).*CONSTANTS(:,25).*CONSTANTS(:,26).*CONSTANTS(:,23).*power(1.00000, 2.00000));
    ALGEBRAIC(:,76) = ALGEBRAIC(:,73)+ALGEBRAIC(:,75);
    ALGEBRAIC(:,38) = power(ALGEBRAIC(:,36), 2.00000)./( CONSTANTS(:,20).*1.00000);
    ALGEBRAIC(:,41) = CONSTANTS(:,15)+ALGEBRAIC(:,38);
    ALGEBRAIC(:,43) = ALGEBRAIC(:,41)+ALGEBRAIC(:,12);
    ALGEBRAIC(:,47) = ALGEBRAIC(:,43)+ALGEBRAIC(:,45);
    ALGEBRAIC(:,16) = STATES(:,5)./CONSTANTS(:,18);
    ALGEBRAIC(:,49) = ALGEBRAIC(:,47)+ALGEBRAIC(:,16);
    ALGEBRAIC(:,50) = ( STATES(:,5).*power(ALGEBRAIC(:,36), 2.00000))./( CONSTANTS(:,18).*CONSTANTS(:,20).*CONSTANTS(:,25).*1.00000);
    ALGEBRAIC(:,52) = ALGEBRAIC(:,49)+ALGEBRAIC(:,50);
    ALGEBRAIC(:,54) = ALGEBRAIC(:,52)+ALGEBRAIC(:,17);
    ALGEBRAIC(:,57) = ALGEBRAIC(:,54)+ALGEBRAIC(:,55);
    ALGEBRAIC(:,59) = ALGEBRAIC(:,57)+CONSTANTS(:,74);
    ALGEBRAIC(:,60) = ( CONSTANTS(:,27).*power(ALGEBRAIC(:,36), 2.00000))./( CONSTANTS(:,17).*CONSTANTS(:,20).*CONSTANTS(:,26).*1.00000);
    ALGEBRAIC(:,62) = ALGEBRAIC(:,59)+ALGEBRAIC(:,60);
    ALGEBRAIC(:,64) = ALGEBRAIC(:,62)+ALGEBRAIC(:,18);
    ALGEBRAIC(:,67) = ALGEBRAIC(:,64)+ALGEBRAIC(:,65);
    ALGEBRAIC(:,19) = ( CONSTANTS(:,27).*STATES(:,5))./( CONSTANTS(:,17).*CONSTANTS(:,18));
    ALGEBRAIC(:,69) = ALGEBRAIC(:,67)+ALGEBRAIC(:,19);
    ALGEBRAIC(:,70) = ( CONSTANTS(:,27).*STATES(:,5).*power(ALGEBRAIC(:,36), 2.00000))./( CONSTANTS(:,17).*CONSTANTS(:,18).*CONSTANTS(:,20).*CONSTANTS(:,25).*CONSTANTS(:,26).*1.00000);
    ALGEBRAIC(:,72) = ALGEBRAIC(:,69)+ALGEBRAIC(:,70);
    ALGEBRAIC(:,20) = ( CONSTANTS(:,27).*STATES(:,5).*power(ALGEBRAIC(:,10), 2.00000))./( CONSTANTS(:,17).*CONSTANTS(:,18).*CONSTANTS(:,19).*CONSTANTS(:,24).*CONSTANTS(:,22).*1.00000);
    ALGEBRAIC(:,74) = ALGEBRAIC(:,72)+ALGEBRAIC(:,20);
    ALGEBRAIC(:,77) = ALGEBRAIC(:,74)+ALGEBRAIC(:,75);
    ALGEBRAIC(:,21) = ALGEBRAIC(:,20);
    ALGEBRAIC(:,78) = ( CONSTANTS(:,28).*CONSTANTS(:,21).*ALGEBRAIC(:,76)+ CONSTANTS(:,21).*ALGEBRAIC(:,21))./ALGEBRAIC(:,77);
    ALGEBRAIC(:,79) =  CONSTANTS(:,29).*ALGEBRAIC(:,78);
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