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 =33;
end
% There are a total of 10 entries in each of the rate and state variable arrays.
% There are a total of 61 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_CONSTANTS(:,1) = strpad('Vc_Vg in component volume_ratio (dimensionless)');
    LEGEND_CONSTANTS(:,2) = strpad('Glc_o in component Glc_o (millimolar)');
    LEGEND_STATES(:,1) = strpad('Glc_i in component Glc_i (millimolar)');
    LEGEND_ALGEBRAIC(:,23) = strpad('V_HK in component V_HK (flux)');
    LEGEND_ALGEBRAIC(:,20) = strpad('V_glucose_transport in component V_glucose_transport (flux)');
    LEGEND_ALGEBRAIC(:,1) = strpad('Glc_6_P_g in component Glc_6_P_g (millimolar)');
    LEGEND_CONSTANTS(:,3) = strpad('Keq_PGI in component Glc_6_P_g (dimensionless)');
    LEGEND_ALGEBRAIC(:,2) = strpad('Fru_6_P_g in component Fru_6_P_g (millimolar)');
    LEGEND_STATES(:,2) = strpad('hexose_P_g in component hexose_P_g (millimolar)');
    LEGEND_ALGEBRAIC(:,30) = strpad('V_PFK in component V_PFK (flux)');
    LEGEND_STATES(:,3) = strpad('Fru_1_6_BP_g in component Fru_1_6_BP_g (millimolar)');
    LEGEND_ALGEBRAIC(:,33) = strpad('V_ALD in component V_ALD (flux)');
    LEGEND_ALGEBRAIC(:,9) = strpad('GA_3_P_g in component GA_3_P_g (millimolar)');
    LEGEND_CONSTANTS(:,4) = strpad('Keq_TIM in component DHAP (dimensionless)');
    LEGEND_ALGEBRAIC(:,7) = strpad('DHAP_g in component DHAP_g (millimolar)');
    LEGEND_STATES(:,4) = strpad('triose_P in component triose_P (millimolar)');
    LEGEND_ALGEBRAIC(:,24) = strpad('V_GAPDH in component V_GAPDH (flux)');
    LEGEND_ALGEBRAIC(:,28) = strpad('V_GDH in component V_GDH (flux)');
    LEGEND_ALGEBRAIC(:,22) = strpad('V_GPO in component V_GPO (flux)');
    LEGEND_STATES(:,5) = strpad('one_three_BPGA_g in component one_three_BPGA_g (millimolar)');
    LEGEND_ALGEBRAIC(:,25) = strpad('V_PGK in component V_PGK (flux)');
    LEGEND_ALGEBRAIC(:,3) = strpad('three_PGA in component three_PGA (millimolar)');
    LEGEND_STATES(:,6) = strpad('N in component N (millimolar)');
    LEGEND_CONSTANTS(:,5) = strpad('Keq_PGM in component three_PGA (dimensionless)');
    LEGEND_CONSTANTS(:,6) = strpad('Keq_ENO in component three_PGA (dimensionless)');
    LEGEND_ALGEBRAIC(:,4) = strpad('two_PGA_c in component two_PGA_c (millimolar)');
    LEGEND_ALGEBRAIC(:,29) = strpad('V_PYK in component V_PYK (flux)');
    LEGEND_ALGEBRAIC(:,5) = strpad('PEP_c in component PEP_c (millimolar)');
    LEGEND_STATES(:,7) = strpad('PYR_c in component PYR_c (millimolar)');
    LEGEND_ALGEBRAIC(:,21) = strpad('V_pyruvate_transport in component V_pyruvate_transport (flux)');
    LEGEND_CONSTANTS(:,7) = strpad('glycerol_g in component glycerol_g (millimolar)');
    LEGEND_ALGEBRAIC(:,6) = strpad('DHAP in component DHAP (millimolar)');
    LEGEND_ALGEBRAIC(:,8) = strpad('DHAP_c in component DHAP_c (millimolar)');
    LEGEND_ALGEBRAIC(:,14) = strpad('Gly_3_P in component Gly_3_P (millimolar)');
    LEGEND_ALGEBRAIC(:,11) = strpad('ATP_g in component ATP_g (millimolar)');
    LEGEND_ALGEBRAIC(:,13) = strpad('ADP_g in component ADP_g (millimolar)');
    LEGEND_CONSTANTS(:,8) = strpad('C4 in component C4 (millimolar)');
    LEGEND_ALGEBRAIC(:,15) = strpad('Gly_3_P_c in component Gly_3_P_c (millimolar)');
    LEGEND_ALGEBRAIC(:,16) = strpad('Gly_3_P_g in component Gly_3_P_g (millimolar)');
    LEGEND_ALGEBRAIC(:,10) = strpad('NAD_g in component NAD_g (millimolar)');
    LEGEND_STATES(:,8) = strpad('NADH_g in component NADH_g (millimolar)');
    LEGEND_CONSTANTS(:,9) = strpad('C3 in component C3 (millimolar)');
    LEGEND_STATES(:,9) = strpad('P_g in component P_g (millimolar)');
    LEGEND_ALGEBRAIC(:,26) = strpad('V_GK in component V_GK (flux)');
    LEGEND_STATES(:,10) = strpad('P_c in component P_c (millimolar)');
    LEGEND_ALGEBRAIC(:,31) = strpad('V_ATP_utilisation in component V_ATP_utilisation (flux)');
    LEGEND_CONSTANTS(:,10) = strpad('Keq_AK in component ATP_g (dimensionless)');
    LEGEND_CONSTANTS(:,11) = strpad('C1 in component C1 (millimolar)');
    LEGEND_ALGEBRAIC(:,12) = strpad('ATP_c in component ATP_c (millimolar)');
    LEGEND_CONSTANTS(:,12) = strpad('Keq_AK in component ATP_c (dimensionless)');
    LEGEND_CONSTANTS(:,13) = strpad('C2 in component C2 (millimolar)');
    LEGEND_ALGEBRAIC(:,17) = strpad('ADP_c in component ADP_c (millimolar)');
    LEGEND_ALGEBRAIC(:,18) = strpad('AMP_g in component AMP_g (millimolar)');
    LEGEND_ALGEBRAIC(:,19) = strpad('AMP_c in component AMP_c (millimolar)');
    LEGEND_CONSTANTS(:,14) = strpad('K_Glc in component V_glucose_transport (millimolar)');
    LEGEND_CONSTANTS(:,15) = strpad('alpha in component V_glucose_transport (dimensionless)');
    LEGEND_CONSTANTS(:,16) = strpad('V_glucose_transport_max in component V_glucose_transport (flux)');
    LEGEND_CONSTANTS(:,17) = strpad('K_pyruvate in component V_pyruvate_transport (millimolar)');
    LEGEND_CONSTANTS(:,18) = strpad('V_pyruvate_transport_max in component V_pyruvate_transport (flux)');
    LEGEND_CONSTANTS(:,19) = strpad('K_Gly_3_P in component V_GPO (millimolar)');
    LEGEND_CONSTANTS(:,20) = strpad('V_GPO_max in component V_GPO (flux)');
    LEGEND_CONSTANTS(:,21) = strpad('K_Glc_i in component V_HK (millimolar)');
    LEGEND_CONSTANTS(:,22) = strpad('K_ATP in component V_HK (millimolar)');
    LEGEND_CONSTANTS(:,23) = strpad('K_ADP in component V_HK (millimolar)');
    LEGEND_CONSTANTS(:,24) = strpad('V_HK_max in component V_HK (flux)');
    LEGEND_CONSTANTS(:,25) = strpad('K_NAD in component V_GAPDH (millimolar)');
    LEGEND_CONSTANTS(:,26) = strpad('K_GA_3_P in component V_GAPDH (millimolar)');
    LEGEND_CONSTANTS(:,27) = strpad('K_1_3_BPGA in component V_GAPDH (millimolar)');
    LEGEND_CONSTANTS(:,28) = strpad('K_NADH in component V_GAPDH (millimolar)');
    LEGEND_CONSTANTS(:,29) = strpad('V_GAPDH_max_plus in component V_GAPDH (flux)');
    LEGEND_CONSTANTS(:,30) = strpad('V_GAPDH_max_ratio in component V_GAPDH (dimensionless)');
    LEGEND_CONSTANTS(:,31) = strpad('K_ADP in component V_PGK (millimolar)');
    LEGEND_CONSTANTS(:,32) = strpad('K_1_3_BPGA in component V_PGK (millimolar)');
    LEGEND_CONSTANTS(:,33) = strpad('K_3_PGA in component V_PGK (millimolar)');
    LEGEND_CONSTANTS(:,34) = strpad('K_ATP in component V_PGK (millimolar)');
    LEGEND_CONSTANTS(:,35) = strpad('V_PGK_max_plus in component V_PGK (flux)');
    LEGEND_CONSTANTS(:,36) = strpad('V_PGK_max_ratio in component V_PGK (dimensionless)');
    LEGEND_CONSTANTS(:,37) = strpad('K_ADP in component V_GK (millimolar)');
    LEGEND_CONSTANTS(:,38) = strpad('K_Gly_3_P in component V_GK (millimolar)');
    LEGEND_CONSTANTS(:,39) = strpad('K_glycerol in component V_GK (millimolar)');
    LEGEND_CONSTANTS(:,40) = strpad('K_ATP in component V_GK (millimolar)');
    LEGEND_CONSTANTS(:,41) = strpad('V_GK_max_plus in component V_GK (flux)');
    LEGEND_CONSTANTS(:,42) = strpad('V_GK_max_ratio in component V_GK (dimensionless)');
    LEGEND_CONSTANTS(:,43) = strpad('K_NADH in component V_GDH (millimolar)');
    LEGEND_CONSTANTS(:,44) = strpad('K_Gly_3_P in component V_GDH (millimolar)');
    LEGEND_CONSTANTS(:,45) = strpad('K_DHAP in component V_GDH (millimolar)');
    LEGEND_CONSTANTS(:,46) = strpad('K_NAD in component V_GDH (millimolar)');
    LEGEND_CONSTANTS(:,47) = strpad('V_GDH_max_plus in component V_GDH (flux)');
    LEGEND_CONSTANTS(:,48) = strpad('V_GDH_max_ratio in component V_GDH (dimensionless)');
    LEGEND_CONSTANTS(:,49) = strpad('n in component V_PFK (dimensionless)');
    LEGEND_CONSTANTS(:,50) = strpad('Km_Fru_6_P in component V_PFK (millimolar)');
    LEGEND_CONSTANTS(:,51) = strpad('Km_ATP in component V_PFK (millimolar)');
    LEGEND_CONSTANTS(:,52) = strpad('V_PFK_max in component V_PFK (flux)');
    LEGEND_ALGEBRAIC(:,27) = strpad('Km_PEP in component V_PYK (millimolar)');
    LEGEND_CONSTANTS(:,53) = strpad('Km_ADP in component V_PYK (millimolar)');
    LEGEND_CONSTANTS(:,54) = strpad('n in component V_PYK (dimensionless)');
    LEGEND_CONSTANTS(:,55) = strpad('V_PYK_max in component V_PYK (flux)');
    LEGEND_ALGEBRAIC(:,32) = strpad('Km_Fru_1_6_BP in component V_ALD (millimolar)');
    LEGEND_CONSTANTS(:,56) = strpad('Km_GA_3_P in component V_ALD (millimolar)');
    LEGEND_CONSTANTS(:,57) = strpad('Ki_GA_3_P in component V_ALD (millimolar)');
    LEGEND_CONSTANTS(:,58) = strpad('Km_DHAP in component V_ALD (millimolar)');
    LEGEND_CONSTANTS(:,59) = strpad('V_ALD_max_plus in component V_ALD (flux)');
    LEGEND_CONSTANTS(:,60) = strpad('V_ALD_max_ratio in component V_ALD (dimensionless)');
    LEGEND_CONSTANTS(:,61) = strpad('k in component V_ATP_utilisation (flux)');
    LEGEND_RATES(:,1) = strpad('d/dt Glc_i in component Glc_i (millimolar)');
    LEGEND_RATES(:,2) = strpad('d/dt hexose_P_g in component hexose_P_g (millimolar)');
    LEGEND_RATES(:,3) = strpad('d/dt Fru_1_6_BP_g in component Fru_1_6_BP_g (millimolar)');
    LEGEND_RATES(:,4) = strpad('d/dt triose_P in component triose_P (millimolar)');
    LEGEND_RATES(:,5) = strpad('d/dt one_three_BPGA_g in component one_three_BPGA_g (millimolar)');
    LEGEND_RATES(:,6) = strpad('d/dt N in component N (millimolar)');
    LEGEND_RATES(:,7) = strpad('d/dt PYR_c in component PYR_c (millimolar)');
    LEGEND_RATES(:,8) = strpad('d/dt NADH_g in component NADH_g (millimolar)');
    LEGEND_RATES(:,9) = strpad('d/dt P_g in component P_g (millimolar)');
    LEGEND_RATES(:,10) = strpad('d/dt P_c in component P_c (millimolar)');
    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) = 22.3;
    CONSTANTS(:,2) = 5.0;
    STATES(:,1) = 0.01;
    CONSTANTS(:,3) = 0.29;
    STATES(:,2) = 0.01;
    STATES(:,3) = 0.01;
    CONSTANTS(:,4) = 0.045;
    STATES(:,4) = 0.01;
    STATES(:,5) = 0.01;
    STATES(:,6) = 0.01;
    CONSTANTS(:,5) = 0.187;
    CONSTANTS(:,6) = 6.7;
    STATES(:,7) = 0.01;
    CONSTANTS(:,7) = 0.00;
    CONSTANTS(:,8) = 120.0;
    STATES(:,8) = 0.01;
    CONSTANTS(:,9) = 4.0;
    STATES(:,9) = 0.01;
    STATES(:,10) = 0.01;
    CONSTANTS(:,10) = 0.442;
    CONSTANTS(:,11) = 3.9;
    CONSTANTS(:,12) = 0.442;
    CONSTANTS(:,13) = 3.9;
    CONSTANTS(:,14) = 2.0;
    CONSTANTS(:,15) = 0.75;
    CONSTANTS(:,16) = 106.2;
    CONSTANTS(:,17) = 1.96;
    CONSTANTS(:,18) = 160.0;
    CONSTANTS(:,19) = 1.7;
    CONSTANTS(:,20) = 200.0;
    CONSTANTS(:,21) = 0.1;
    CONSTANTS(:,22) = 0.116;
    CONSTANTS(:,23) = 0.126;
    CONSTANTS(:,24) = 625.0;
    CONSTANTS(:,25) = 0.45;
    CONSTANTS(:,26) = 0.15;
    CONSTANTS(:,27) = 0.1;
    CONSTANTS(:,28) = 0.02;
    CONSTANTS(:,29) = 1470.0;
    CONSTANTS(:,30) = 0.67;
    CONSTANTS(:,31) = 0.1;
    CONSTANTS(:,32) = 0.05;
    CONSTANTS(:,33) = 1.62;
    CONSTANTS(:,34) = 0.29;
    CONSTANTS(:,35) = 640.0;
    CONSTANTS(:,36) = 0.029;
    CONSTANTS(:,37) = 0.12;
    CONSTANTS(:,38) = 5.1;
    CONSTANTS(:,39) = 0.12;
    CONSTANTS(:,40) = 0.19;
    CONSTANTS(:,41) = 0.0;
    CONSTANTS(:,42) = 167.0;
    CONSTANTS(:,43) = 0.01;
    CONSTANTS(:,44) = 2.0;
    CONSTANTS(:,45) = 0.1;
    CONSTANTS(:,46) = 0.4;
    CONSTANTS(:,47) = 533.0;
    CONSTANTS(:,48) = 0.28;
    CONSTANTS(:,49) = 1.2;
    CONSTANTS(:,50) = 0.82;
    CONSTANTS(:,51) = 2.6E-2;
    CONSTANTS(:,52) = 780.0;
    CONSTANTS(:,53) = 0.114;
    CONSTANTS(:,54) = 2.5;
    CONSTANTS(:,55) = 2.6E3;
    CONSTANTS(:,56) = 6.7E-2;
    CONSTANTS(:,57) = 9.8E-2;
    CONSTANTS(:,58) = 1.5E-2;
    CONSTANTS(:,59) = 780.0;
    CONSTANTS(:,60) = 1.19;
    CONSTANTS(:,61) = 50;
    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(:,11) = ((CONSTANTS(:,11) -  - ( STATES(:,9).*(1.00000 -  4.00000.*CONSTANTS(:,10))))+power(power(CONSTANTS(:,11) -  - ( STATES(:,9).*(1.00000 -  4.00000.*CONSTANTS(:,10))), 2.00000) -  4.00000.*(1.00000 -  4.00000.*CONSTANTS(:,10)).*(  - CONSTANTS(:,10).*power(STATES(:,9), 2.00000)), 0.500000))./( 2.00000.*(1.00000 -  4.00000.*CONSTANTS(:,10)));
    ALGEBRAIC(:,13) = STATES(:,9) -  2.00000.*ALGEBRAIC(:,11);
    ALGEBRAIC(:,23) =  CONSTANTS(:,24).*(( (ALGEBRAIC(:,11)./CONSTANTS(:,22)).*(STATES(:,1)./CONSTANTS(:,21)))./( (1.00000+ALGEBRAIC(:,11)./CONSTANTS(:,22)+ALGEBRAIC(:,13)./CONSTANTS(:,23)).*(1.00000+STATES(:,1)./CONSTANTS(:,21))));
    ALGEBRAIC(:,20) =  CONSTANTS(:,16).*((CONSTANTS(:,2) - STATES(:,1))./(CONSTANTS(:,14)+CONSTANTS(:,2)+STATES(:,1)+ CONSTANTS(:,15).*CONSTANTS(:,2).*(STATES(:,1)./CONSTANTS(:,14))));
    RATES(:,1) = ALGEBRAIC(:,20) - ALGEBRAIC(:,23);
    ALGEBRAIC(:,6) = ( STATES(:,4).*(1.00000+CONSTANTS(:,1)))./(1.00000+CONSTANTS(:,1)+CONSTANTS(:,4));
    ALGEBRAIC(:,7) = ALGEBRAIC(:,6);
    ALGEBRAIC(:,9) =  CONSTANTS(:,4).*ALGEBRAIC(:,7);
    ALGEBRAIC(:,10) = CONSTANTS(:,9) - STATES(:,8);
    ALGEBRAIC(:,24) =  CONSTANTS(:,29).*(( (ALGEBRAIC(:,9)./CONSTANTS(:,26)).*(ALGEBRAIC(:,10)./CONSTANTS(:,25) - CONSTANTS(:,30)).*(STATES(:,5)./CONSTANTS(:,27)).*(STATES(:,8)./CONSTANTS(:,28)))./( (1.00000+ALGEBRAIC(:,9)./CONSTANTS(:,26)+STATES(:,5)./CONSTANTS(:,27)).*(1.00000+ALGEBRAIC(:,10)./CONSTANTS(:,25)+STATES(:,8)./CONSTANTS(:,28))));
    ALGEBRAIC(:,3) = ( STATES(:,6).*(1.00000+CONSTANTS(:,1)))./(1.00000+ (1.00000+CONSTANTS(:,5)+ CONSTANTS(:,5).*CONSTANTS(:,6)).*CONSTANTS(:,1));
    ALGEBRAIC(:,25) =  CONSTANTS(:,35).*(( (STATES(:,5)./CONSTANTS(:,32)).*(ALGEBRAIC(:,13)./CONSTANTS(:,31) - CONSTANTS(:,36)).*(ALGEBRAIC(:,3)./CONSTANTS(:,33)).*(ALGEBRAIC(:,11)./CONSTANTS(:,34)))./( (1.00000+STATES(:,5)./CONSTANTS(:,32)+ALGEBRAIC(:,3)./CONSTANTS(:,33)).*(1.00000+ALGEBRAIC(:,13)./CONSTANTS(:,31)+ALGEBRAIC(:,11)./CONSTANTS(:,34))));
    RATES(:,5) = ALGEBRAIC(:,24) - ALGEBRAIC(:,25);
    ALGEBRAIC(:,4) =  CONSTANTS(:,5).*ALGEBRAIC(:,3);
    ALGEBRAIC(:,5) =  CONSTANTS(:,6).*ALGEBRAIC(:,4);
    ALGEBRAIC(:,12) = ((CONSTANTS(:,13) -  - ( STATES(:,10).*(1.00000 -  4.00000.*CONSTANTS(:,12))))+power(power(CONSTANTS(:,13) -  - ( STATES(:,10).*(1.00000 -  4.00000.*CONSTANTS(:,12))), 2.00000) -  4.00000.*(1.00000 -  4.00000.*CONSTANTS(:,12)).*(  - CONSTANTS(:,12).*power(STATES(:,10), 2.00000)), 0.500000))./( 2.00000.*(1.00000 -  4.00000.*CONSTANTS(:,12)));
    ALGEBRAIC(:,17) = STATES(:,10) -  2.00000.*ALGEBRAIC(:,12);
    ALGEBRAIC(:,27) =  0.340000.*(1.00000+ALGEBRAIC(:,12)./0.570000+ALGEBRAIC(:,17)./0.640000);
    ALGEBRAIC(:,29) =  CONSTANTS(:,55).*(( power(ALGEBRAIC(:,5)./ALGEBRAIC(:,27), CONSTANTS(:,54)).*(ALGEBRAIC(:,17)./CONSTANTS(:,53)))./( (1.00000+power(ALGEBRAIC(:,5)./ALGEBRAIC(:,27), CONSTANTS(:,54))).*(1.00000+ALGEBRAIC(:,17)./CONSTANTS(:,53))));
    RATES(:,6) = ALGEBRAIC(:,25) - ALGEBRAIC(:,29);
    ALGEBRAIC(:,21) =  CONSTANTS(:,18).*(STATES(:,7)./CONSTANTS(:,17)).*(1.00000+STATES(:,7)./CONSTANTS(:,17));
    RATES(:,7) = ALGEBRAIC(:,29) - ALGEBRAIC(:,21);
    ALGEBRAIC(:,1) = STATES(:,2)./CONSTANTS(:,3);
    ALGEBRAIC(:,2) = STATES(:,2) - ALGEBRAIC(:,1);
    ALGEBRAIC(:,14) = (CONSTANTS(:,8) - (ALGEBRAIC(:,1)+ALGEBRAIC(:,2)+ 2.00000.*STATES(:,3)+ALGEBRAIC(:,9)+STATES(:,5)+ 2.00000.*ALGEBRAIC(:,11)+ALGEBRAIC(:,13)))./(1.00000+CONSTANTS(:,1)) - ALGEBRAIC(:,6);
    ALGEBRAIC(:,16) = ALGEBRAIC(:,14);
    ALGEBRAIC(:,28) =  CONSTANTS(:,47).*(( (ALGEBRAIC(:,7)./CONSTANTS(:,45)).*(STATES(:,8)./CONSTANTS(:,43) - CONSTANTS(:,48)).*(ALGEBRAIC(:,16)./CONSTANTS(:,44)).*(ALGEBRAIC(:,10)./CONSTANTS(:,46)))./( (1.00000+ALGEBRAIC(:,7)./CONSTANTS(:,45)+ALGEBRAIC(:,16)./CONSTANTS(:,44)).*(1.00000+STATES(:,8)./CONSTANTS(:,43)+ALGEBRAIC(:,10)./CONSTANTS(:,46))));
    RATES(:,8) = ALGEBRAIC(:,24) - ALGEBRAIC(:,28);
    ALGEBRAIC(:,30) =  CONSTANTS(:,52).*(( power(ALGEBRAIC(:,2)./CONSTANTS(:,50), CONSTANTS(:,49)).*(ALGEBRAIC(:,11)./CONSTANTS(:,51)))./( (1.00000+power(ALGEBRAIC(:,2)./CONSTANTS(:,50), CONSTANTS(:,49))).*(1.00000+ALGEBRAIC(:,11)./CONSTANTS(:,51))));
    RATES(:,2) = ALGEBRAIC(:,23) - ALGEBRAIC(:,30);
    ALGEBRAIC(:,26) =  CONSTANTS(:,41).*(( (ALGEBRAIC(:,16)./CONSTANTS(:,38)).*(ALGEBRAIC(:,13)./CONSTANTS(:,37) - CONSTANTS(:,42)).*(CONSTANTS(:,7)./CONSTANTS(:,39)).*(ALGEBRAIC(:,11)./CONSTANTS(:,40)))./( (1.00000+ALGEBRAIC(:,16)./CONSTANTS(:,38)+CONSTANTS(:,7)./CONSTANTS(:,39)).*(1.00000+ALGEBRAIC(:,13)./CONSTANTS(:,37)+ALGEBRAIC(:,11)./CONSTANTS(:,40))));
    RATES(:,9) = (ALGEBRAIC(:,25)+ALGEBRAIC(:,26)) - (ALGEBRAIC(:,23)+ALGEBRAIC(:,30));
    ALGEBRAIC(:,31) =  CONSTANTS(:,61).*(ALGEBRAIC(:,12)./ALGEBRAIC(:,17));
    RATES(:,10) = ALGEBRAIC(:,29) - ALGEBRAIC(:,31);
    ALGEBRAIC(:,18) = CONSTANTS(:,11) - (ALGEBRAIC(:,11)+ALGEBRAIC(:,13));
    ALGEBRAIC(:,32) =  0.00900000.*(1.00000+ALGEBRAIC(:,11)./0.680000+ALGEBRAIC(:,13)./1.51000+ALGEBRAIC(:,18)./3.65000);
    ALGEBRAIC(:,33) =  CONSTANTS(:,59).*((STATES(:,3)./ALGEBRAIC(:,32) -  CONSTANTS(:,60).*(( ALGEBRAIC(:,9).*ALGEBRAIC(:,7))./( CONSTANTS(:,56).*CONSTANTS(:,58))))./(1.00000+STATES(:,3)./ALGEBRAIC(:,32)+ALGEBRAIC(:,9)./CONSTANTS(:,56)+ALGEBRAIC(:,7)./CONSTANTS(:,58)+( STATES(:,3).*ALGEBRAIC(:,9))./( ALGEBRAIC(:,32).*CONSTANTS(:,57))+( ALGEBRAIC(:,7).*ALGEBRAIC(:,9))./( CONSTANTS(:,58).*CONSTANTS(:,56))));
    RATES(:,3) = ALGEBRAIC(:,30) - ALGEBRAIC(:,33);
    ALGEBRAIC(:,15) = ALGEBRAIC(:,14);
    ALGEBRAIC(:,22) =  CONSTANTS(:,20).*(ALGEBRAIC(:,15)./CONSTANTS(:,19)).*(1.00000+ALGEBRAIC(:,15)./CONSTANTS(:,19));
    RATES(:,4) = ( 2.00000.*ALGEBRAIC(:,33)+ALGEBRAIC(:,22)) - (ALGEBRAIC(:,24)+ALGEBRAIC(:,28));
   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(:,11) = ((CONSTANTS(:,11) -  - ( STATES(:,9).*(1.00000 -  4.00000.*CONSTANTS(:,10))))+power(power(CONSTANTS(:,11) -  - ( STATES(:,9).*(1.00000 -  4.00000.*CONSTANTS(:,10))), 2.00000) -  4.00000.*(1.00000 -  4.00000.*CONSTANTS(:,10)).*(  - CONSTANTS(:,10).*power(STATES(:,9), 2.00000)), 0.500000))./( 2.00000.*(1.00000 -  4.00000.*CONSTANTS(:,10)));
    ALGEBRAIC(:,13) = STATES(:,9) -  2.00000.*ALGEBRAIC(:,11);
    ALGEBRAIC(:,23) =  CONSTANTS(:,24).*(( (ALGEBRAIC(:,11)./CONSTANTS(:,22)).*(STATES(:,1)./CONSTANTS(:,21)))./( (1.00000+ALGEBRAIC(:,11)./CONSTANTS(:,22)+ALGEBRAIC(:,13)./CONSTANTS(:,23)).*(1.00000+STATES(:,1)./CONSTANTS(:,21))));
    ALGEBRAIC(:,20) =  CONSTANTS(:,16).*((CONSTANTS(:,2) - STATES(:,1))./(CONSTANTS(:,14)+CONSTANTS(:,2)+STATES(:,1)+ CONSTANTS(:,15).*CONSTANTS(:,2).*(STATES(:,1)./CONSTANTS(:,14))));
    ALGEBRAIC(:,6) = ( STATES(:,4).*(1.00000+CONSTANTS(:,1)))./(1.00000+CONSTANTS(:,1)+CONSTANTS(:,4));
    ALGEBRAIC(:,7) = ALGEBRAIC(:,6);
    ALGEBRAIC(:,9) =  CONSTANTS(:,4).*ALGEBRAIC(:,7);
    ALGEBRAIC(:,10) = CONSTANTS(:,9) - STATES(:,8);
    ALGEBRAIC(:,24) =  CONSTANTS(:,29).*(( (ALGEBRAIC(:,9)./CONSTANTS(:,26)).*(ALGEBRAIC(:,10)./CONSTANTS(:,25) - CONSTANTS(:,30)).*(STATES(:,5)./CONSTANTS(:,27)).*(STATES(:,8)./CONSTANTS(:,28)))./( (1.00000+ALGEBRAIC(:,9)./CONSTANTS(:,26)+STATES(:,5)./CONSTANTS(:,27)).*(1.00000+ALGEBRAIC(:,10)./CONSTANTS(:,25)+STATES(:,8)./CONSTANTS(:,28))));
    ALGEBRAIC(:,3) = ( STATES(:,6).*(1.00000+CONSTANTS(:,1)))./(1.00000+ (1.00000+CONSTANTS(:,5)+ CONSTANTS(:,5).*CONSTANTS(:,6)).*CONSTANTS(:,1));
    ALGEBRAIC(:,25) =  CONSTANTS(:,35).*(( (STATES(:,5)./CONSTANTS(:,32)).*(ALGEBRAIC(:,13)./CONSTANTS(:,31) - CONSTANTS(:,36)).*(ALGEBRAIC(:,3)./CONSTANTS(:,33)).*(ALGEBRAIC(:,11)./CONSTANTS(:,34)))./( (1.00000+STATES(:,5)./CONSTANTS(:,32)+ALGEBRAIC(:,3)./CONSTANTS(:,33)).*(1.00000+ALGEBRAIC(:,13)./CONSTANTS(:,31)+ALGEBRAIC(:,11)./CONSTANTS(:,34))));
    ALGEBRAIC(:,4) =  CONSTANTS(:,5).*ALGEBRAIC(:,3);
    ALGEBRAIC(:,5) =  CONSTANTS(:,6).*ALGEBRAIC(:,4);
    ALGEBRAIC(:,12) = ((CONSTANTS(:,13) -  - ( STATES(:,10).*(1.00000 -  4.00000.*CONSTANTS(:,12))))+power(power(CONSTANTS(:,13) -  - ( STATES(:,10).*(1.00000 -  4.00000.*CONSTANTS(:,12))), 2.00000) -  4.00000.*(1.00000 -  4.00000.*CONSTANTS(:,12)).*(  - CONSTANTS(:,12).*power(STATES(:,10), 2.00000)), 0.500000))./( 2.00000.*(1.00000 -  4.00000.*CONSTANTS(:,12)));
    ALGEBRAIC(:,17) = STATES(:,10) -  2.00000.*ALGEBRAIC(:,12);
    ALGEBRAIC(:,27) =  0.340000.*(1.00000+ALGEBRAIC(:,12)./0.570000+ALGEBRAIC(:,17)./0.640000);
    ALGEBRAIC(:,29) =  CONSTANTS(:,55).*(( power(ALGEBRAIC(:,5)./ALGEBRAIC(:,27), CONSTANTS(:,54)).*(ALGEBRAIC(:,17)./CONSTANTS(:,53)))./( (1.00000+power(ALGEBRAIC(:,5)./ALGEBRAIC(:,27), CONSTANTS(:,54))).*(1.00000+ALGEBRAIC(:,17)./CONSTANTS(:,53))));
    ALGEBRAIC(:,21) =  CONSTANTS(:,18).*(STATES(:,7)./CONSTANTS(:,17)).*(1.00000+STATES(:,7)./CONSTANTS(:,17));
    ALGEBRAIC(:,1) = STATES(:,2)./CONSTANTS(:,3);
    ALGEBRAIC(:,2) = STATES(:,2) - ALGEBRAIC(:,1);
    ALGEBRAIC(:,14) = (CONSTANTS(:,8) - (ALGEBRAIC(:,1)+ALGEBRAIC(:,2)+ 2.00000.*STATES(:,3)+ALGEBRAIC(:,9)+STATES(:,5)+ 2.00000.*ALGEBRAIC(:,11)+ALGEBRAIC(:,13)))./(1.00000+CONSTANTS(:,1)) - ALGEBRAIC(:,6);
    ALGEBRAIC(:,16) = ALGEBRAIC(:,14);
    ALGEBRAIC(:,28) =  CONSTANTS(:,47).*(( (ALGEBRAIC(:,7)./CONSTANTS(:,45)).*(STATES(:,8)./CONSTANTS(:,43) - CONSTANTS(:,48)).*(ALGEBRAIC(:,16)./CONSTANTS(:,44)).*(ALGEBRAIC(:,10)./CONSTANTS(:,46)))./( (1.00000+ALGEBRAIC(:,7)./CONSTANTS(:,45)+ALGEBRAIC(:,16)./CONSTANTS(:,44)).*(1.00000+STATES(:,8)./CONSTANTS(:,43)+ALGEBRAIC(:,10)./CONSTANTS(:,46))));
    ALGEBRAIC(:,30) =  CONSTANTS(:,52).*(( power(ALGEBRAIC(:,2)./CONSTANTS(:,50), CONSTANTS(:,49)).*(ALGEBRAIC(:,11)./CONSTANTS(:,51)))./( (1.00000+power(ALGEBRAIC(:,2)./CONSTANTS(:,50), CONSTANTS(:,49))).*(1.00000+ALGEBRAIC(:,11)./CONSTANTS(:,51))));
    ALGEBRAIC(:,26) =  CONSTANTS(:,41).*(( (ALGEBRAIC(:,16)./CONSTANTS(:,38)).*(ALGEBRAIC(:,13)./CONSTANTS(:,37) - CONSTANTS(:,42)).*(CONSTANTS(:,7)./CONSTANTS(:,39)).*(ALGEBRAIC(:,11)./CONSTANTS(:,40)))./( (1.00000+ALGEBRAIC(:,16)./CONSTANTS(:,38)+CONSTANTS(:,7)./CONSTANTS(:,39)).*(1.00000+ALGEBRAIC(:,13)./CONSTANTS(:,37)+ALGEBRAIC(:,11)./CONSTANTS(:,40))));
    ALGEBRAIC(:,31) =  CONSTANTS(:,61).*(ALGEBRAIC(:,12)./ALGEBRAIC(:,17));
    ALGEBRAIC(:,18) = CONSTANTS(:,11) - (ALGEBRAIC(:,11)+ALGEBRAIC(:,13));
    ALGEBRAIC(:,32) =  0.00900000.*(1.00000+ALGEBRAIC(:,11)./0.680000+ALGEBRAIC(:,13)./1.51000+ALGEBRAIC(:,18)./3.65000);
    ALGEBRAIC(:,33) =  CONSTANTS(:,59).*((STATES(:,3)./ALGEBRAIC(:,32) -  CONSTANTS(:,60).*(( ALGEBRAIC(:,9).*ALGEBRAIC(:,7))./( CONSTANTS(:,56).*CONSTANTS(:,58))))./(1.00000+STATES(:,3)./ALGEBRAIC(:,32)+ALGEBRAIC(:,9)./CONSTANTS(:,56)+ALGEBRAIC(:,7)./CONSTANTS(:,58)+( STATES(:,3).*ALGEBRAIC(:,9))./( ALGEBRAIC(:,32).*CONSTANTS(:,57))+( ALGEBRAIC(:,7).*ALGEBRAIC(:,9))./( CONSTANTS(:,58).*CONSTANTS(:,56))));
    ALGEBRAIC(:,15) = ALGEBRAIC(:,14);
    ALGEBRAIC(:,22) =  CONSTANTS(:,20).*(ALGEBRAIC(:,15)./CONSTANTS(:,19)).*(1.00000+ALGEBRAIC(:,15)./CONSTANTS(:,19));
    ALGEBRAIC(:,8) = ALGEBRAIC(:,6);
    ALGEBRAIC(:,19) = CONSTANTS(:,13) - (ALGEBRAIC(:,12)+ALGEBRAIC(:,17));
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