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 =21;
end
% There are a total of 21 entries in each of the rate and state variable arrays.
% There are a total of 116 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('GLY in component GLY (millimolar)');
    LEGEND_ALGEBRAIC(:,4) = strpad('flux_GP in component flux_GP (flux)');
    LEGEND_STATES(:,2) = strpad('G1P in component G1P (millimolar)');
    LEGEND_ALGEBRAIC(:,5) = strpad('V_PGLM in component V_PGLM (flux)');
    LEGEND_STATES(:,3) = strpad('G6P in component G6P (millimolar)');
    LEGEND_ALGEBRAIC(:,6) = strpad('V_PGI in component V_PGI (flux)');
    LEGEND_STATES(:,4) = strpad('F6P in component F6P (millimolar)');
    LEGEND_ALGEBRAIC(:,10) = strpad('V_PFK in component V_PFK (flux)');
    LEGEND_STATES(:,5) = strpad('FBP in component FBP (millimolar)');
    LEGEND_ALGEBRAIC(:,11) = strpad('V_ALD in component V_ALD (flux)');
    LEGEND_STATES(:,6) = strpad('DHAP in component DHAP (millimolar)');
    LEGEND_ALGEBRAIC(:,12) = strpad('V_TPI in component V_TPI (flux)');
    LEGEND_STATES(:,7) = strpad('GAP in component GAP (millimolar)');
    LEGEND_ALGEBRAIC(:,14) = strpad('V_GAPDH in component V_GAPDH (flux)');
    LEGEND_STATES(:,8) = strpad('Thirteen_BPG in component Thirteen_BPG (millimolar)');
    LEGEND_ALGEBRAIC(:,15) = strpad('V_PGK in component V_PGK (flux)');
    LEGEND_STATES(:,9) = strpad('three_PG in component three_PG (millimolar)');
    LEGEND_ALGEBRAIC(:,16) = strpad('V_PGM in component V_PGM (flux)');
    LEGEND_STATES(:,10) = strpad('two_PG in component two_PG (millimolar)');
    LEGEND_ALGEBRAIC(:,17) = strpad('V_ENOL in component V_ENOL (flux)');
    LEGEND_STATES(:,11) = strpad('PEP in component PEP (millimolar)');
    LEGEND_ALGEBRAIC(:,18) = strpad('V_PK in component V_PK (flux)');
    LEGEND_STATES(:,12) = strpad('PYR in component PYR (millimolar)');
    LEGEND_ALGEBRAIC(:,19) = strpad('V_LDH in component V_LDH (flux)');
    LEGEND_STATES(:,13) = strpad('LAC in component LAC (millimolar)');
    LEGEND_ALGEBRAIC(:,1) = strpad('output in component LAC (flux)');
    LEGEND_STATES(:,14) = strpad('Pi in component Pi (millimolar)');
    LEGEND_CONSTANTS(:,1) = strpad('V_ATPase in component V_ATPase (flux)');
    LEGEND_STATES(:,15) = strpad('ADP in component ADP (millimolar)');
    LEGEND_ALGEBRAIC(:,21) = strpad('V_ADK in component V_ADK (flux)');
    LEGEND_ALGEBRAIC(:,20) = strpad('V_CK in component V_CK (flux)');
    LEGEND_STATES(:,16) = strpad('ATP in component ATP (millimolar)');
    LEGEND_STATES(:,17) = strpad('AMP in component AMP (millimolar)');
    LEGEND_STATES(:,18) = strpad('PCr in component PCr (millimolar)');
    LEGEND_STATES(:,19) = strpad('Cr in component Cr (millimolar)');
    LEGEND_STATES(:,20) = strpad('NADH in component NADH (millimolar)');
    LEGEND_STATES(:,21) = strpad('NAD in component NAD (millimolar)');
    LEGEND_CONSTANTS(:,2) = strpad('frac_a in component flux_GP (dimensionless)');
    LEGEND_CONSTANTS(:,3) = strpad('frac_b in component flux_GP (dimensionless)');
    LEGEND_ALGEBRAIC(:,2) = strpad('V_GPa in component V_GPa (flux)');
    LEGEND_ALGEBRAIC(:,3) = strpad('V_GPb in component V_GPb (flux)');
    LEGEND_CONSTANTS(:,4) = strpad('Ki_GLY_f in component V_GPa (millimolar)');
    LEGEND_CONSTANTS(:,5) = strpad('Ki_GLY_b in component V_GPa (millimolar)');
    LEGEND_CONSTANTS(:,6) = strpad('K_GLY_f in component V_GPa (millimolar)');
    LEGEND_CONSTANTS(:,7) = strpad('K_GLY_b in component V_GPa (millimolar)');
    LEGEND_CONSTANTS(:,8) = strpad('Keq_GP in component V_GPa (dimensionless)');
    LEGEND_CONSTANTS(:,9) = strpad('Ki_Pi in component V_GPa (millimolar)');
    LEGEND_CONSTANTS(:,10) = strpad('K_Pi in component V_GPa (millimolar)');
    LEGEND_CONSTANTS(:,11) = strpad('Ki_G1P in component V_GPa (millimolar)');
    LEGEND_CONSTANTS(:,101) = strpad('V_max_r in component V_GPa (flux)');
    LEGEND_CONSTANTS(:,12) = strpad('V_max_f in component V_GPa (flux)');
    LEGEND_CONSTANTS(:,13) = strpad('Ki_GLY_f in component V_GPb (millimolar)');
    LEGEND_CONSTANTS(:,14) = strpad('Ki_GLY_b in component V_GPb (millimolar)');
    LEGEND_CONSTANTS(:,15) = strpad('K_GLY_f in component V_GPb (millimolar)');
    LEGEND_CONSTANTS(:,16) = strpad('Keq_GP in component V_GPb (dimensionless)');
    LEGEND_CONSTANTS(:,17) = strpad('nH in component V_GPb (dimensionless)');
    LEGEND_CONSTANTS(:,18) = strpad('K_AMP in component V_GPb (millimolar_1_75)');
    LEGEND_CONSTANTS(:,19) = strpad('K_GLY_b in component V_GPb (millimolar)');
    LEGEND_CONSTANTS(:,20) = strpad('Ki_Pi in component V_GPb (millimolar)');
    LEGEND_CONSTANTS(:,21) = strpad('K_Pi in component V_GPb (millimolar)');
    LEGEND_CONSTANTS(:,22) = strpad('Ki_G1P in component V_GPb (millimolar)');
    LEGEND_CONSTANTS(:,23) = strpad('K_G1P in component V_GPb (millimolar)');
    LEGEND_CONSTANTS(:,102) = strpad('V_max_r in component V_GPb (flux)');
    LEGEND_CONSTANTS(:,24) = strpad('V_max_f in component V_GPb (flux)');
    LEGEND_CONSTANTS(:,25) = strpad('K_G1P in component V_PGLM (millimolar)');
    LEGEND_CONSTANTS(:,26) = strpad('K_G6P in component V_PGLM (millimolar)');
    LEGEND_CONSTANTS(:,27) = strpad('Keq_PGLM in component V_PGLM (dimensionless)');
    LEGEND_CONSTANTS(:,103) = strpad('V_max_r in component V_PGLM (flux)');
    LEGEND_CONSTANTS(:,28) = strpad('V_max_f in component V_PGLM (flux)');
    LEGEND_CONSTANTS(:,29) = strpad('K_G6P in component V_PGI (millimolar)');
    LEGEND_CONSTANTS(:,30) = strpad('K_F6P in component V_PGI (millimolar)');
    LEGEND_CONSTANTS(:,31) = strpad('Keq_PGI in component V_PGI (dimensionless)');
    LEGEND_CONSTANTS(:,32) = strpad('V_max_r in component V_PGI (flux)');
    LEGEND_CONSTANTS(:,104) = strpad('V_max_f in component V_PGI (flux)');
    LEGEND_CONSTANTS(:,33) = strpad('K_FBP in component V_PFK (millimolar)');
    LEGEND_CONSTANTS(:,34) = strpad('K_FBP_ in component V_PFK (millimolar)');
    LEGEND_CONSTANTS(:,35) = strpad('K_F6P in component V_PFK (millimolar)');
    LEGEND_CONSTANTS(:,36) = strpad('K_ATP in component V_PFK (millimolar)');
    LEGEND_CONSTANTS(:,37) = strpad('K_F6P_ in component V_PFK (millimolar)');
    LEGEND_CONSTANTS(:,38) = strpad('K_ATP_ in component V_PFK (millimolar)');
    LEGEND_CONSTANTS(:,39) = strpad('K_ADP in component V_PFK (millimolar)');
    LEGEND_CONSTANTS(:,40) = strpad('K_ADP_ in component V_PFK (millimolar)');
    LEGEND_CONSTANTS(:,41) = strpad('Ki_ATP in component V_PFK (millimolar)');
    LEGEND_CONSTANTS(:,42) = strpad('Ka_AMP in component V_PFK (millimolar)');
    LEGEND_CONSTANTS(:,105) = strpad('V_max_r in component V_PFK (flux)');
    LEGEND_CONSTANTS(:,43) = strpad('V_max_f in component V_PFK (flux)');
    LEGEND_CONSTANTS(:,106) = strpad('alpha in component V_PFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,9) = strpad('L in component V_PFK (dimensionless)');
    LEGEND_CONSTANTS(:,44) = strpad('Lo in component V_PFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,7) = strpad('delta in component V_PFK (dimensionless)');
    LEGEND_ALGEBRAIC(:,8) = strpad('delta_ in component V_PFK (dimensionless)');
    LEGEND_CONSTANTS(:,45) = strpad('d in component V_PFK (dimensionless)');
    LEGEND_CONSTANTS(:,46) = strpad('var_e in component V_PFK (dimensionless)');
    LEGEND_CONSTANTS(:,47) = strpad('K_GAP in component V_ALD (millimolar)');
    LEGEND_CONSTANTS(:,48) = strpad('K_FBP in component V_ALD (millimolar)');
    LEGEND_CONSTANTS(:,49) = strpad('K_DHAP in component V_ALD (millimolar)');
    LEGEND_CONSTANTS(:,50) = strpad('Keq_ALD in component V_ALD (millimolar)');
    LEGEND_CONSTANTS(:,107) = strpad('V_max_r in component V_ALD (flux)');
    LEGEND_CONSTANTS(:,51) = strpad('V_max_f in component V_ALD (flux)');
    LEGEND_CONSTANTS(:,52) = strpad('K_GAP in component V_TPI (millimolar)');
    LEGEND_CONSTANTS(:,53) = strpad('K_DHAP in component V_TPI (millimolar)');
    LEGEND_CONSTANTS(:,54) = strpad('Keq_TPI in component V_TPI (dimensionless)');
    LEGEND_CONSTANTS(:,108) = strpad('V_max_r in component V_TPI (flux)');
    LEGEND_CONSTANTS(:,55) = strpad('V_max_f in component V_TPI (flux)');
    LEGEND_ALGEBRAIC(:,13) = strpad('D_GAPDH in component V_GAPDH (dimensionless)');
    LEGEND_CONSTANTS(:,56) = strpad('K_GAP in component V_GAPDH (millimolar)');
    LEGEND_CONSTANTS(:,57) = strpad('K_Pi in component V_GAPDH (millimolar)');
    LEGEND_CONSTANTS(:,58) = strpad('K_NAD in component V_GAPDH (millimolar)');
    LEGEND_CONSTANTS(:,59) = strpad('K_NADH in component V_GAPDH (millimolar)');
    LEGEND_CONSTANTS(:,60) = strpad('K_Thirteen_BPG in component V_GAPDH (millimolar)');
    LEGEND_CONSTANTS(:,61) = strpad('Keq_GAPDH in component V_GAPDH (dimensionless)');
    LEGEND_CONSTANTS(:,109) = strpad('V_max_r in component V_GAPDH (flux)');
    LEGEND_CONSTANTS(:,62) = strpad('V_max_f in component V_GAPDH (flux)');
    LEGEND_CONSTANTS(:,63) = strpad('K_three_PG in component V_PGK (millimolar)');
    LEGEND_CONSTANTS(:,64) = strpad('K_ADP in component V_PGK (millimolar)');
    LEGEND_CONSTANTS(:,65) = strpad('K_ATP in component V_PGK (millimolar)');
    LEGEND_CONSTANTS(:,66) = strpad('K_Thirteen_BPG in component V_PGK (millimolar)');
    LEGEND_CONSTANTS(:,67) = strpad('Keq_PGK in component V_PGK (dimensionless)');
    LEGEND_CONSTANTS(:,68) = strpad('V_max_r in component V_PGK (flux)');
    LEGEND_CONSTANTS(:,110) = strpad('V_max_f in component V_PGK (flux)');
    LEGEND_CONSTANTS(:,69) = strpad('K_two_PG in component V_PGM (millimolar)');
    LEGEND_CONSTANTS(:,70) = strpad('K_three_PG in component V_PGM (millimolar)');
    LEGEND_CONSTANTS(:,71) = strpad('Keq_PGM in component V_PGM (dimensionless)');
    LEGEND_CONSTANTS(:,111) = strpad('V_max_r in component V_PGM (flux)');
    LEGEND_CONSTANTS(:,72) = strpad('V_max_f in component V_PGM (flux)');
    LEGEND_CONSTANTS(:,73) = strpad('K_PEP in component V_ENOL (millimolar)');
    LEGEND_CONSTANTS(:,74) = strpad('K_two_PG in component V_ENOL (millimolar)');
    LEGEND_CONSTANTS(:,75) = strpad('Keq_ENOL in component V_ENOL (dimensionless)');
    LEGEND_CONSTANTS(:,112) = strpad('V_max_r in component V_ENOL (flux)');
    LEGEND_CONSTANTS(:,76) = strpad('V_max_f in component V_ENOL (flux)');
    LEGEND_CONSTANTS(:,77) = strpad('K_PYR in component V_PK (millimolar)');
    LEGEND_CONSTANTS(:,78) = strpad('K_ADP in component V_PK (millimolar)');
    LEGEND_CONSTANTS(:,79) = strpad('K_ATP in component V_PK (millimolar)');
    LEGEND_CONSTANTS(:,80) = strpad('K_PEP in component V_PK (millimolar)');
    LEGEND_CONSTANTS(:,81) = strpad('Keq_PK in component V_PK (dimensionless)');
    LEGEND_CONSTANTS(:,113) = strpad('V_max_r in component V_PK (flux)');
    LEGEND_CONSTANTS(:,82) = strpad('V_max_f in component V_PK (flux)');
    LEGEND_CONSTANTS(:,83) = strpad('K_LAC in component V_LDH (millimolar)');
    LEGEND_CONSTANTS(:,84) = strpad('K_NADH in component V_LDH (millimolar)');
    LEGEND_CONSTANTS(:,85) = strpad('K_NAD in component V_LDH (millimolar)');
    LEGEND_CONSTANTS(:,86) = strpad('K_PYR in component V_LDH (millimolar)');
    LEGEND_CONSTANTS(:,87) = strpad('Keq_LDH in component V_LDH (dimensionless)');
    LEGEND_CONSTANTS(:,114) = strpad('V_max_r in component V_LDH (flux)');
    LEGEND_CONSTANTS(:,88) = strpad('V_max_f in component V_LDH (flux)');
    LEGEND_CONSTANTS(:,89) = strpad('Ki_ADP in component V_CK (millimolar)');
    LEGEND_CONSTANTS(:,90) = strpad('K_Cr in component V_CK (millimolar)');
    LEGEND_CONSTANTS(:,91) = strpad('K_PCr in component V_CK (millimolar)');
    LEGEND_CONSTANTS(:,92) = strpad('Ki_PCr in component V_CK (millimolar)');
    LEGEND_CONSTANTS(:,93) = strpad('Ki_ATP in component V_CK (millimolar)');
    LEGEND_CONSTANTS(:,94) = strpad('Keq_CK in component V_CK (dimensionless)');
    LEGEND_CONSTANTS(:,95) = strpad('V_max_r in component V_CK (flux)');
    LEGEND_CONSTANTS(:,115) = strpad('V_max_f in component V_CK (flux)');
    LEGEND_CONSTANTS(:,96) = strpad('K_ADP in component V_ADK (millimolar)');
    LEGEND_CONSTANTS(:,97) = strpad('K_AMP in component V_ADK (millimolar)');
    LEGEND_CONSTANTS(:,98) = strpad('K_ATP in component V_ADK (millimolar)');
    LEGEND_CONSTANTS(:,99) = strpad('Keq_ADK in component V_ADK (dimensionless)');
    LEGEND_CONSTANTS(:,116) = strpad('V_max_r in component V_ADK (flux)');
    LEGEND_CONSTANTS(:,100) = strpad('V_max_f in component V_ADK (flux)');
    LEGEND_RATES(:,1) = strpad('d/dt GLY in component GLY (millimolar)');
    LEGEND_RATES(:,2) = strpad('d/dt G1P in component G1P (millimolar)');
    LEGEND_RATES(:,3) = strpad('d/dt G6P in component G6P (millimolar)');
    LEGEND_RATES(:,4) = strpad('d/dt F6P in component F6P (millimolar)');
    LEGEND_RATES(:,5) = strpad('d/dt FBP in component FBP (millimolar)');
    LEGEND_RATES(:,6) = strpad('d/dt DHAP in component DHAP (millimolar)');
    LEGEND_RATES(:,7) = strpad('d/dt GAP in component GAP (millimolar)');
    LEGEND_RATES(:,8) = strpad('d/dt Thirteen_BPG in component Thirteen_BPG (millimolar)');
    LEGEND_RATES(:,9) = strpad('d/dt three_PG in component three_PG (millimolar)');
    LEGEND_RATES(:,10) = strpad('d/dt two_PG in component two_PG (millimolar)');
    LEGEND_RATES(:,11) = strpad('d/dt PEP in component PEP (millimolar)');
    LEGEND_RATES(:,12) = strpad('d/dt PYR in component PYR (millimolar)');
    LEGEND_RATES(:,13) = strpad('d/dt LAC in component LAC (millimolar)');
    LEGEND_RATES(:,14) = strpad('d/dt Pi in component Pi (millimolar)');
    LEGEND_RATES(:,15) = strpad('d/dt ADP in component ADP (millimolar)');
    LEGEND_RATES(:,16) = strpad('d/dt ATP in component ATP (millimolar)');
    LEGEND_RATES(:,17) = strpad('d/dt AMP in component AMP (millimolar)');
    LEGEND_RATES(:,18) = strpad('d/dt PCr in component PCr (millimolar)');
    LEGEND_RATES(:,19) = strpad('d/dt Cr in component Cr (millimolar)');
    LEGEND_RATES(:,20) = strpad('d/dt NADH in component NADH (millimolar)');
    LEGEND_RATES(:,21) = strpad('d/dt NAD in component NAD (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 = [];
    STATES(:,1) = 112.0;
    STATES(:,2) = 0.0589;
    STATES(:,3) = 0.75;
    STATES(:,4) = 0.228;
    STATES(:,5) = 0.0723;
    STATES(:,6) = 0.0764;
    STATES(:,7) = 0.0355;
    STATES(:,8) = 0.065;
    STATES(:,9) = 0.052;
    STATES(:,10) = 0.005;
    STATES(:,11) = 0.0194;
    STATES(:,12) = 0.0994;
    STATES(:,13) = 1.3;
    STATES(:,14) = 4.1;
    CONSTANTS(:,1) = 600.0;
    STATES(:,15) = 0.013;
    STATES(:,16) = 8.2;
    STATES(:,17) = 0.99;
    STATES(:,18) = 34.67;
    STATES(:,19) = 35.0;
    STATES(:,20) = 0.001;
    STATES(:,21) = 0.5;
    CONSTANTS(:,2) = 0.4;
    CONSTANTS(:,3) = 0.6;
    CONSTANTS(:,4) = 2.0;
    CONSTANTS(:,5) = 2.0;
    CONSTANTS(:,6) = 1.7;
    CONSTANTS(:,7) = 0.15;
    CONSTANTS(:,8) = 0.42;
    CONSTANTS(:,9) = 4.7;
    CONSTANTS(:,10) = 4.0;
    CONSTANTS(:,11) = 10.1;
    CONSTANTS(:,12) = 20.0;
    CONSTANTS(:,13) = 15.0;
    CONSTANTS(:,14) = 4.4;
    CONSTANTS(:,15) = 1.7;
    CONSTANTS(:,16) = 0.42;
    CONSTANTS(:,17) = 1.75;
    CONSTANTS(:,18) = 1.9E-6;
    CONSTANTS(:,19) = 0.15;
    CONSTANTS(:,20) = 4.6;
    CONSTANTS(:,21) = 0.2;
    CONSTANTS(:,22) = 7.4;
    CONSTANTS(:,23) = 1.5;
    CONSTANTS(:,24) = 30.0;
    CONSTANTS(:,25) = 0.063;
    CONSTANTS(:,26) = 0.03;
    CONSTANTS(:,27) = 16.62;
    CONSTANTS(:,28) = 480.0;
    CONSTANTS(:,29) = 0.18;
    CONSTANTS(:,30) = 0.119;
    CONSTANTS(:,31) = 0.45;
    CONSTANTS(:,32) = 880.0;
    CONSTANTS(:,33) = 4.02;
    CONSTANTS(:,34) = 4.02;
    CONSTANTS(:,35) = 0.18;
    CONSTANTS(:,36) = 0.08;
    CONSTANTS(:,37) = 20.0;
    CONSTANTS(:,38) = 0.25;
    CONSTANTS(:,39) = 2.7;
    CONSTANTS(:,40) = 2.7;
    CONSTANTS(:,41) = 0.87;
    CONSTANTS(:,42) = 0.06;
    CONSTANTS(:,43) = 56.0;
    CONSTANTS(:,44) = 13.0;
    CONSTANTS(:,45) = 0.01;
    CONSTANTS(:,46) = 0.01;
    CONSTANTS(:,47) = 1.0;
    CONSTANTS(:,48) = 0.05;
    CONSTANTS(:,49) = 2.0;
    CONSTANTS(:,50) = 9.5E-5;
    CONSTANTS(:,51) = 104.0;
    CONSTANTS(:,52) = 0.32;
    CONSTANTS(:,53) = 0.61;
    CONSTANTS(:,54) = 0.052;
    CONSTANTS(:,55) = 12000.0;
    CONSTANTS(:,56) = 0.0025;
    CONSTANTS(:,57) = 0.29;
    CONSTANTS(:,58) = 0.09;
    CONSTANTS(:,59) = 0.0033;
    CONSTANTS(:,60) = 0.0008;
    CONSTANTS(:,61) = 0.089;
    CONSTANTS(:,62) = 1265.0;
    CONSTANTS(:,63) = 1.2;
    CONSTANTS(:,64) = 0.008;
    CONSTANTS(:,65) = 0.35;
    CONSTANTS(:,66) = 0.002;
    CONSTANTS(:,67) = 57109.0;
    CONSTANTS(:,68) = 1120.0;
    CONSTANTS(:,69) = 0.014;
    CONSTANTS(:,70) = 0.2;
    CONSTANTS(:,71) = 0.18;
    CONSTANTS(:,72) = 1120.0;
    CONSTANTS(:,73) = 0.37;
    CONSTANTS(:,74) = 0.1;
    CONSTANTS(:,75) = 0.49;
    CONSTANTS(:,76) = 192.0;
    CONSTANTS(:,77) = 7.05;
    CONSTANTS(:,78) = 0.3;
    CONSTANTS(:,79) = 1.13;
    CONSTANTS(:,80) = 0.08;
    CONSTANTS(:,81) = 10304.0;
    CONSTANTS(:,82) = 1440.0;
    CONSTANTS(:,83) = 17.0;
    CONSTANTS(:,84) = 0.002;
    CONSTANTS(:,85) = 0.849;
    CONSTANTS(:,86) = 0.335;
    CONSTANTS(:,87) = 16198.0;
    CONSTANTS(:,88) = 1920.0;
    CONSTANTS(:,89) = 0.135;
    CONSTANTS(:,90) = 3.8;
    CONSTANTS(:,91) = 1.11;
    CONSTANTS(:,92) = 3.9;
    CONSTANTS(:,93) = 3.5;
    CONSTANTS(:,94) = 233.0;
    CONSTANTS(:,95) = 500.0;
    CONSTANTS(:,96) = 0.35;
    CONSTANTS(:,97) = 0.32;
    CONSTANTS(:,98) = 0.27;
    CONSTANTS(:,99) = 2.21;
    CONSTANTS(:,100) = 880.0;
    CONSTANTS(:,101) = ( CONSTANTS(:,12).*CONSTANTS(:,7).*CONSTANTS(:,11))./( CONSTANTS(:,4).*CONSTANTS(:,10).*CONSTANTS(:,8));
    CONSTANTS(:,102) = ( CONSTANTS(:,24).*CONSTANTS(:,14).*CONSTANTS(:,23))./( CONSTANTS(:,15).*CONSTANTS(:,20).*CONSTANTS(:,16));
    CONSTANTS(:,103) = ( CONSTANTS(:,28).*CONSTANTS(:,26))./( CONSTANTS(:,25).*CONSTANTS(:,27));
    CONSTANTS(:,104) = ( CONSTANTS(:,32).*CONSTANTS(:,29).*CONSTANTS(:,31))./CONSTANTS(:,30);
    CONSTANTS(:,105) = ( CONSTANTS(:,43).*CONSTANTS(:,39).*CONSTANTS(:,33))./( CONSTANTS(:,36).*CONSTANTS(:,35));
    CONSTANTS(:,106) = ( CONSTANTS(:,35).*CONSTANTS(:,36))./( CONSTANTS(:,37).*CONSTANTS(:,38));
    CONSTANTS(:,107) = ( CONSTANTS(:,51).*CONSTANTS(:,49).*CONSTANTS(:,47))./( CONSTANTS(:,48).*CONSTANTS(:,50));
    CONSTANTS(:,108) = ( CONSTANTS(:,55).*CONSTANTS(:,53))./( CONSTANTS(:,52).*CONSTANTS(:,54));
    CONSTANTS(:,109) = ( CONSTANTS(:,62).*1.00000.*CONSTANTS(:,60).*CONSTANTS(:,59))./( CONSTANTS(:,56).*CONSTANTS(:,58).*CONSTANTS(:,57).*CONSTANTS(:,61));
    CONSTANTS(:,110) = ( CONSTANTS(:,68).*CONSTANTS(:,66).*CONSTANTS(:,64).*CONSTANTS(:,67))./( CONSTANTS(:,63).*CONSTANTS(:,65));
    CONSTANTS(:,111) = ( CONSTANTS(:,72).*CONSTANTS(:,69))./( CONSTANTS(:,70).*CONSTANTS(:,71));
    CONSTANTS(:,112) = ( CONSTANTS(:,76).*CONSTANTS(:,73))./( CONSTANTS(:,74).*CONSTANTS(:,75));
    CONSTANTS(:,113) = ( CONSTANTS(:,82).*CONSTANTS(:,79).*CONSTANTS(:,77))./( CONSTANTS(:,80).*CONSTANTS(:,78).*CONSTANTS(:,81));
    CONSTANTS(:,114) = ( CONSTANTS(:,88).*CONSTANTS(:,83).*CONSTANTS(:,85))./( CONSTANTS(:,86).*CONSTANTS(:,84).*CONSTANTS(:,87));
    CONSTANTS(:,115) = ( CONSTANTS(:,95).*CONSTANTS(:,93).*CONSTANTS(:,90).*CONSTANTS(:,94))./( CONSTANTS(:,89).*CONSTANTS(:,91));
    CONSTANTS(:,116) = ( CONSTANTS(:,100).*power(CONSTANTS(:,96), 2.00000))./( CONSTANTS(:,98).*CONSTANTS(:,97).*CONSTANTS(:,99));
    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) = ( CONSTANTS(:,12).*(( STATES(:,1).*STATES(:,14))./( CONSTANTS(:,4).*CONSTANTS(:,10))) -  CONSTANTS(:,101).*(( STATES(:,1).*STATES(:,2))./( CONSTANTS(:,5).*CONSTANTS(:,11))))./(1.00000+STATES(:,1)./CONSTANTS(:,4)+STATES(:,14)./CONSTANTS(:,9)+STATES(:,1)./CONSTANTS(:,5)+STATES(:,2)./CONSTANTS(:,11)+( STATES(:,1).*STATES(:,14))./( CONSTANTS(:,6).*CONSTANTS(:,9))+( STATES(:,1).*STATES(:,2))./( CONSTANTS(:,7).*CONSTANTS(:,11)));
    ALGEBRAIC(:,3) =  (( CONSTANTS(:,24).*(( STATES(:,1).*STATES(:,14))./( CONSTANTS(:,13).*CONSTANTS(:,21))) -  CONSTANTS(:,102).*(( STATES(:,1).*STATES(:,2))./( CONSTANTS(:,14).*CONSTANTS(:,22))))./(1.00000+STATES(:,1)./CONSTANTS(:,13)+STATES(:,14)./CONSTANTS(:,20)+STATES(:,1)./CONSTANTS(:,14)+STATES(:,2)./CONSTANTS(:,22)+( STATES(:,1).*STATES(:,14))./( CONSTANTS(:,15).*CONSTANTS(:,20))+( STATES(:,1).*STATES(:,2))./( CONSTANTS(:,19).*CONSTANTS(:,22)))).*((power(STATES(:,17), CONSTANTS(:,17))./CONSTANTS(:,18))./(1.00000+power(STATES(:,17), CONSTANTS(:,17))./CONSTANTS(:,18)));
    ALGEBRAIC(:,4) =  CONSTANTS(:,2).*ALGEBRAIC(:,2)+ CONSTANTS(:,3).*ALGEBRAIC(:,3);
    RATES(:,1) =  - ALGEBRAIC(:,4);
    ALGEBRAIC(:,5) = ( CONSTANTS(:,28).*(STATES(:,2)./CONSTANTS(:,25)) -  CONSTANTS(:,103).*(STATES(:,3)./CONSTANTS(:,26)))./(1.00000+STATES(:,2)./CONSTANTS(:,25)+STATES(:,3)./CONSTANTS(:,26));
    RATES(:,2) = ALGEBRAIC(:,4) - ALGEBRAIC(:,5);
    ALGEBRAIC(:,6) = ( CONSTANTS(:,104).*(STATES(:,3)./CONSTANTS(:,29)) -  CONSTANTS(:,32).*(STATES(:,4)./CONSTANTS(:,30)))./(1.00000+STATES(:,3)./CONSTANTS(:,29)+STATES(:,4)./CONSTANTS(:,30));
    RATES(:,3) = ALGEBRAIC(:,5) - ALGEBRAIC(:,6);
    ALGEBRAIC(:,9) =  CONSTANTS(:,44).*power( ((1.00000+STATES(:,16)./CONSTANTS(:,41))./(1.00000+ CONSTANTS(:,45).*(STATES(:,16)./CONSTANTS(:,41)))).*((1.00000+ CONSTANTS(:,46).*(STATES(:,17)./CONSTANTS(:,42)))./(1.00000+STATES(:,17)./CONSTANTS(:,42))), 4.00000);
    ALGEBRAIC(:,7) =  (1.00000+STATES(:,4)./CONSTANTS(:,35)).*(1.00000+STATES(:,16)./CONSTANTS(:,36))+STATES(:,15)./CONSTANTS(:,39)+ (STATES(:,5)./CONSTANTS(:,33)).*(1.00000+STATES(:,15)./CONSTANTS(:,39));
    ALGEBRAIC(:,8) =  (1.00000+STATES(:,4)./CONSTANTS(:,37)).*(1.00000+STATES(:,16)./CONSTANTS(:,38))+STATES(:,15)./CONSTANTS(:,40)+ (STATES(:,5)./CONSTANTS(:,34)).*(1.00000+STATES(:,15)./CONSTANTS(:,40));
    ALGEBRAIC(:,10) =  (( CONSTANTS(:,43).*(( STATES(:,16).*STATES(:,4))./( CONSTANTS(:,36).*CONSTANTS(:,35))) -  CONSTANTS(:,105).*(( STATES(:,15).*STATES(:,5))./( CONSTANTS(:,39).*CONSTANTS(:,33))))./ALGEBRAIC(:,7)).*((1.00000+ CONSTANTS(:,106).*ALGEBRAIC(:,9).*power(ALGEBRAIC(:,8)./ALGEBRAIC(:,7), 3.00000))./(1.00000+ ALGEBRAIC(:,9).*power(ALGEBRAIC(:,8)./ALGEBRAIC(:,7), 4.00000)));
    RATES(:,4) = ALGEBRAIC(:,6) - ALGEBRAIC(:,10);
    ALGEBRAIC(:,11) = ( CONSTANTS(:,51).*(STATES(:,5)./CONSTANTS(:,48)) -  CONSTANTS(:,107).*(( STATES(:,6).*STATES(:,7))./( CONSTANTS(:,49).*CONSTANTS(:,47))))./(1.00000+STATES(:,5)./CONSTANTS(:,48)+STATES(:,6)./CONSTANTS(:,49)+STATES(:,7)./CONSTANTS(:,47));
    RATES(:,5) = ALGEBRAIC(:,10) - ALGEBRAIC(:,11);
    ALGEBRAIC(:,12) = ( CONSTANTS(:,55).*(STATES(:,7)./CONSTANTS(:,52)) -  CONSTANTS(:,108).*(STATES(:,6)./CONSTANTS(:,53)))./(1.00000+STATES(:,6)./CONSTANTS(:,53)+STATES(:,7)./CONSTANTS(:,52));
    RATES(:,6) = ALGEBRAIC(:,11)+ALGEBRAIC(:,12);
    ALGEBRAIC(:,13) = 1.00000+STATES(:,7)./CONSTANTS(:,56)+STATES(:,21)./CONSTANTS(:,58)+STATES(:,14)./CONSTANTS(:,57)+( STATES(:,7).*STATES(:,21))./( CONSTANTS(:,56).*CONSTANTS(:,58))+( STATES(:,7).*STATES(:,21).*STATES(:,14))./( CONSTANTS(:,56).*CONSTANTS(:,58).*CONSTANTS(:,57))+STATES(:,8)./CONSTANTS(:,60)+STATES(:,20)./CONSTANTS(:,59)+( STATES(:,8).*STATES(:,20))./( CONSTANTS(:,60).*CONSTANTS(:,59));
    ALGEBRAIC(:,14) = ( CONSTANTS(:,62).*(( STATES(:,7).*STATES(:,21).*STATES(:,14))./( CONSTANTS(:,56).*CONSTANTS(:,58).*CONSTANTS(:,57))) -  CONSTANTS(:,109).*(( STATES(:,8).*STATES(:,20))./( CONSTANTS(:,60).*CONSTANTS(:,59))))./ALGEBRAIC(:,13);
    RATES(:,7) = ALGEBRAIC(:,11) - (ALGEBRAIC(:,12)+ALGEBRAIC(:,14));
    RATES(:,14) = CONSTANTS(:,1) - (ALGEBRAIC(:,4)+ALGEBRAIC(:,14));
    ALGEBRAIC(:,15) = ( CONSTANTS(:,110).*(( STATES(:,8).*STATES(:,15))./( CONSTANTS(:,66).*CONSTANTS(:,64))) -  CONSTANTS(:,68).*(( STATES(:,9).*STATES(:,16))./( CONSTANTS(:,63).*CONSTANTS(:,65))))./(1.00000+STATES(:,8)./CONSTANTS(:,66)+STATES(:,15)./CONSTANTS(:,64)+( STATES(:,8).*STATES(:,15))./( CONSTANTS(:,66).*CONSTANTS(:,64))+STATES(:,9)./CONSTANTS(:,63)+STATES(:,16)./CONSTANTS(:,65)+( STATES(:,9).*STATES(:,16))./( CONSTANTS(:,63).*CONSTANTS(:,65)));
    RATES(:,8) = ALGEBRAIC(:,14) - ALGEBRAIC(:,15);
    ALGEBRAIC(:,16) = ( CONSTANTS(:,72).*(STATES(:,9)./CONSTANTS(:,70)) -  CONSTANTS(:,111).*(STATES(:,10)./CONSTANTS(:,69)))./(1.00000+STATES(:,9)./CONSTANTS(:,70)+STATES(:,10)./CONSTANTS(:,69));
    RATES(:,9) = ALGEBRAIC(:,15) - ALGEBRAIC(:,16);
    ALGEBRAIC(:,17) = ( CONSTANTS(:,76).*(STATES(:,10)./CONSTANTS(:,74)) -  CONSTANTS(:,112).*(STATES(:,11)./CONSTANTS(:,73)))./(1.00000+STATES(:,10)./CONSTANTS(:,74)+STATES(:,11)./CONSTANTS(:,73));
    RATES(:,10) = ALGEBRAIC(:,16) - ALGEBRAIC(:,17);
    ALGEBRAIC(:,18) = ( CONSTANTS(:,82).*(( STATES(:,11).*STATES(:,15))./( CONSTANTS(:,80).*CONSTANTS(:,78))) -  CONSTANTS(:,113).*(( STATES(:,12).*STATES(:,16))./( CONSTANTS(:,77).*CONSTANTS(:,79))))./(1.00000+STATES(:,11)./CONSTANTS(:,80)+STATES(:,15)./CONSTANTS(:,78)+( STATES(:,11).*STATES(:,15))./( CONSTANTS(:,80).*CONSTANTS(:,78))+STATES(:,12)./CONSTANTS(:,77)+STATES(:,16)./CONSTANTS(:,79)+( STATES(:,12).*STATES(:,16))./( CONSTANTS(:,77).*CONSTANTS(:,79)));
    RATES(:,11) = ALGEBRAIC(:,17) - ALGEBRAIC(:,18);
    ALGEBRAIC(:,19) = ( CONSTANTS(:,88).*(( STATES(:,12).*STATES(:,20))./( CONSTANTS(:,86).*CONSTANTS(:,84))) -  CONSTANTS(:,114).*(( STATES(:,13).*STATES(:,21))./( CONSTANTS(:,83).*CONSTANTS(:,85))))./(1.00000+STATES(:,12)./CONSTANTS(:,86)+STATES(:,20)./CONSTANTS(:,84)+( STATES(:,12).*STATES(:,20))./( CONSTANTS(:,86).*CONSTANTS(:,84))+STATES(:,13)./CONSTANTS(:,83)+STATES(:,21)./CONSTANTS(:,85)+( STATES(:,13).*STATES(:,21))./( CONSTANTS(:,83).*CONSTANTS(:,85)));
    RATES(:,12) = ALGEBRAIC(:,18) - ALGEBRAIC(:,19);
    ALGEBRAIC(:,1) =  0.200000.*STATES(:,13);
    RATES(:,13) = ALGEBRAIC(:,19) - ALGEBRAIC(:,1);
    ALGEBRAIC(:,20) = ( CONSTANTS(:,115).*(( STATES(:,16).*STATES(:,19))./( CONSTANTS(:,93).*CONSTANTS(:,90))) -  CONSTANTS(:,95).*(( STATES(:,15).*STATES(:,18))./( CONSTANTS(:,89).*CONSTANTS(:,91))))./(1.00000+STATES(:,15)./CONSTANTS(:,89)+STATES(:,18)./CONSTANTS(:,92)+( STATES(:,15).*STATES(:,18))./( CONSTANTS(:,89).*CONSTANTS(:,91))+STATES(:,16)./CONSTANTS(:,93)+( STATES(:,16).*STATES(:,19))./( CONSTANTS(:,93).*CONSTANTS(:,90)));
    RATES(:,18) = ALGEBRAIC(:,20);
    RATES(:,19) =  - ALGEBRAIC(:,20);
    RATES(:,20) = ALGEBRAIC(:,14) - ALGEBRAIC(:,19);
    RATES(:,21) = ALGEBRAIC(:,19) - ALGEBRAIC(:,14);
    ALGEBRAIC(:,21) = ( CONSTANTS(:,100).*(( STATES(:,16).*STATES(:,17))./( CONSTANTS(:,98).*CONSTANTS(:,97))) -  CONSTANTS(:,116).*(power(STATES(:,15), 2.00000)./power(CONSTANTS(:,96), 2.00000)))./(1.00000+STATES(:,16)./CONSTANTS(:,98)+STATES(:,17)./CONSTANTS(:,97)+( STATES(:,16).*STATES(:,17))./( CONSTANTS(:,98).*CONSTANTS(:,97))+( 2.00000.*STATES(:,15))./CONSTANTS(:,96)+power(STATES(:,15), 2.00000)./power(CONSTANTS(:,96), 2.00000));
    RATES(:,15) = ALGEBRAIC(:,10)+ 2.00000.*ALGEBRAIC(:,21)+ALGEBRAIC(:,20)+CONSTANTS(:,1)+ - (ALGEBRAIC(:,15)+ALGEBRAIC(:,18));
    RATES(:,16) = ALGEBRAIC(:,15)+ALGEBRAIC(:,18)+ - (ALGEBRAIC(:,10)+ALGEBRAIC(:,21)+ALGEBRAIC(:,20)+CONSTANTS(:,1));
    RATES(:,17) =  - ALGEBRAIC(:,21);
   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) = ( CONSTANTS(:,12).*(( STATES(:,1).*STATES(:,14))./( CONSTANTS(:,4).*CONSTANTS(:,10))) -  CONSTANTS(:,101).*(( STATES(:,1).*STATES(:,2))./( CONSTANTS(:,5).*CONSTANTS(:,11))))./(1.00000+STATES(:,1)./CONSTANTS(:,4)+STATES(:,14)./CONSTANTS(:,9)+STATES(:,1)./CONSTANTS(:,5)+STATES(:,2)./CONSTANTS(:,11)+( STATES(:,1).*STATES(:,14))./( CONSTANTS(:,6).*CONSTANTS(:,9))+( STATES(:,1).*STATES(:,2))./( CONSTANTS(:,7).*CONSTANTS(:,11)));
    ALGEBRAIC(:,3) =  (( CONSTANTS(:,24).*(( STATES(:,1).*STATES(:,14))./( CONSTANTS(:,13).*CONSTANTS(:,21))) -  CONSTANTS(:,102).*(( STATES(:,1).*STATES(:,2))./( CONSTANTS(:,14).*CONSTANTS(:,22))))./(1.00000+STATES(:,1)./CONSTANTS(:,13)+STATES(:,14)./CONSTANTS(:,20)+STATES(:,1)./CONSTANTS(:,14)+STATES(:,2)./CONSTANTS(:,22)+( STATES(:,1).*STATES(:,14))./( CONSTANTS(:,15).*CONSTANTS(:,20))+( STATES(:,1).*STATES(:,2))./( CONSTANTS(:,19).*CONSTANTS(:,22)))).*((power(STATES(:,17), CONSTANTS(:,17))./CONSTANTS(:,18))./(1.00000+power(STATES(:,17), CONSTANTS(:,17))./CONSTANTS(:,18)));
    ALGEBRAIC(:,4) =  CONSTANTS(:,2).*ALGEBRAIC(:,2)+ CONSTANTS(:,3).*ALGEBRAIC(:,3);
    ALGEBRAIC(:,5) = ( CONSTANTS(:,28).*(STATES(:,2)./CONSTANTS(:,25)) -  CONSTANTS(:,103).*(STATES(:,3)./CONSTANTS(:,26)))./(1.00000+STATES(:,2)./CONSTANTS(:,25)+STATES(:,3)./CONSTANTS(:,26));
    ALGEBRAIC(:,6) = ( CONSTANTS(:,104).*(STATES(:,3)./CONSTANTS(:,29)) -  CONSTANTS(:,32).*(STATES(:,4)./CONSTANTS(:,30)))./(1.00000+STATES(:,3)./CONSTANTS(:,29)+STATES(:,4)./CONSTANTS(:,30));
    ALGEBRAIC(:,9) =  CONSTANTS(:,44).*power( ((1.00000+STATES(:,16)./CONSTANTS(:,41))./(1.00000+ CONSTANTS(:,45).*(STATES(:,16)./CONSTANTS(:,41)))).*((1.00000+ CONSTANTS(:,46).*(STATES(:,17)./CONSTANTS(:,42)))./(1.00000+STATES(:,17)./CONSTANTS(:,42))), 4.00000);
    ALGEBRAIC(:,7) =  (1.00000+STATES(:,4)./CONSTANTS(:,35)).*(1.00000+STATES(:,16)./CONSTANTS(:,36))+STATES(:,15)./CONSTANTS(:,39)+ (STATES(:,5)./CONSTANTS(:,33)).*(1.00000+STATES(:,15)./CONSTANTS(:,39));
    ALGEBRAIC(:,8) =  (1.00000+STATES(:,4)./CONSTANTS(:,37)).*(1.00000+STATES(:,16)./CONSTANTS(:,38))+STATES(:,15)./CONSTANTS(:,40)+ (STATES(:,5)./CONSTANTS(:,34)).*(1.00000+STATES(:,15)./CONSTANTS(:,40));
    ALGEBRAIC(:,10) =  (( CONSTANTS(:,43).*(( STATES(:,16).*STATES(:,4))./( CONSTANTS(:,36).*CONSTANTS(:,35))) -  CONSTANTS(:,105).*(( STATES(:,15).*STATES(:,5))./( CONSTANTS(:,39).*CONSTANTS(:,33))))./ALGEBRAIC(:,7)).*((1.00000+ CONSTANTS(:,106).*ALGEBRAIC(:,9).*power(ALGEBRAIC(:,8)./ALGEBRAIC(:,7), 3.00000))./(1.00000+ ALGEBRAIC(:,9).*power(ALGEBRAIC(:,8)./ALGEBRAIC(:,7), 4.00000)));
    ALGEBRAIC(:,11) = ( CONSTANTS(:,51).*(STATES(:,5)./CONSTANTS(:,48)) -  CONSTANTS(:,107).*(( STATES(:,6).*STATES(:,7))./( CONSTANTS(:,49).*CONSTANTS(:,47))))./(1.00000+STATES(:,5)./CONSTANTS(:,48)+STATES(:,6)./CONSTANTS(:,49)+STATES(:,7)./CONSTANTS(:,47));
    ALGEBRAIC(:,12) = ( CONSTANTS(:,55).*(STATES(:,7)./CONSTANTS(:,52)) -  CONSTANTS(:,108).*(STATES(:,6)./CONSTANTS(:,53)))./(1.00000+STATES(:,6)./CONSTANTS(:,53)+STATES(:,7)./CONSTANTS(:,52));
    ALGEBRAIC(:,13) = 1.00000+STATES(:,7)./CONSTANTS(:,56)+STATES(:,21)./CONSTANTS(:,58)+STATES(:,14)./CONSTANTS(:,57)+( STATES(:,7).*STATES(:,21))./( CONSTANTS(:,56).*CONSTANTS(:,58))+( STATES(:,7).*STATES(:,21).*STATES(:,14))./( CONSTANTS(:,56).*CONSTANTS(:,58).*CONSTANTS(:,57))+STATES(:,8)./CONSTANTS(:,60)+STATES(:,20)./CONSTANTS(:,59)+( STATES(:,8).*STATES(:,20))./( CONSTANTS(:,60).*CONSTANTS(:,59));
    ALGEBRAIC(:,14) = ( CONSTANTS(:,62).*(( STATES(:,7).*STATES(:,21).*STATES(:,14))./( CONSTANTS(:,56).*CONSTANTS(:,58).*CONSTANTS(:,57))) -  CONSTANTS(:,109).*(( STATES(:,8).*STATES(:,20))./( CONSTANTS(:,60).*CONSTANTS(:,59))))./ALGEBRAIC(:,13);
    ALGEBRAIC(:,15) = ( CONSTANTS(:,110).*(( STATES(:,8).*STATES(:,15))./( CONSTANTS(:,66).*CONSTANTS(:,64))) -  CONSTANTS(:,68).*(( STATES(:,9).*STATES(:,16))./( CONSTANTS(:,63).*CONSTANTS(:,65))))./(1.00000+STATES(:,8)./CONSTANTS(:,66)+STATES(:,15)./CONSTANTS(:,64)+( STATES(:,8).*STATES(:,15))./( CONSTANTS(:,66).*CONSTANTS(:,64))+STATES(:,9)./CONSTANTS(:,63)+STATES(:,16)./CONSTANTS(:,65)+( STATES(:,9).*STATES(:,16))./( CONSTANTS(:,63).*CONSTANTS(:,65)));
    ALGEBRAIC(:,16) = ( CONSTANTS(:,72).*(STATES(:,9)./CONSTANTS(:,70)) -  CONSTANTS(:,111).*(STATES(:,10)./CONSTANTS(:,69)))./(1.00000+STATES(:,9)./CONSTANTS(:,70)+STATES(:,10)./CONSTANTS(:,69));
    ALGEBRAIC(:,17) = ( CONSTANTS(:,76).*(STATES(:,10)./CONSTANTS(:,74)) -  CONSTANTS(:,112).*(STATES(:,11)./CONSTANTS(:,73)))./(1.00000+STATES(:,10)./CONSTANTS(:,74)+STATES(:,11)./CONSTANTS(:,73));
    ALGEBRAIC(:,18) = ( CONSTANTS(:,82).*(( STATES(:,11).*STATES(:,15))./( CONSTANTS(:,80).*CONSTANTS(:,78))) -  CONSTANTS(:,113).*(( STATES(:,12).*STATES(:,16))./( CONSTANTS(:,77).*CONSTANTS(:,79))))./(1.00000+STATES(:,11)./CONSTANTS(:,80)+STATES(:,15)./CONSTANTS(:,78)+( STATES(:,11).*STATES(:,15))./( CONSTANTS(:,80).*CONSTANTS(:,78))+STATES(:,12)./CONSTANTS(:,77)+STATES(:,16)./CONSTANTS(:,79)+( STATES(:,12).*STATES(:,16))./( CONSTANTS(:,77).*CONSTANTS(:,79)));
    ALGEBRAIC(:,19) = ( CONSTANTS(:,88).*(( STATES(:,12).*STATES(:,20))./( CONSTANTS(:,86).*CONSTANTS(:,84))) -  CONSTANTS(:,114).*(( STATES(:,13).*STATES(:,21))./( CONSTANTS(:,83).*CONSTANTS(:,85))))./(1.00000+STATES(:,12)./CONSTANTS(:,86)+STATES(:,20)./CONSTANTS(:,84)+( STATES(:,12).*STATES(:,20))./( CONSTANTS(:,86).*CONSTANTS(:,84))+STATES(:,13)./CONSTANTS(:,83)+STATES(:,21)./CONSTANTS(:,85)+( STATES(:,13).*STATES(:,21))./( CONSTANTS(:,83).*CONSTANTS(:,85)));
    ALGEBRAIC(:,1) =  0.200000.*STATES(:,13);
    ALGEBRAIC(:,20) = ( CONSTANTS(:,115).*(( STATES(:,16).*STATES(:,19))./( CONSTANTS(:,93).*CONSTANTS(:,90))) -  CONSTANTS(:,95).*(( STATES(:,15).*STATES(:,18))./( CONSTANTS(:,89).*CONSTANTS(:,91))))./(1.00000+STATES(:,15)./CONSTANTS(:,89)+STATES(:,18)./CONSTANTS(:,92)+( STATES(:,15).*STATES(:,18))./( CONSTANTS(:,89).*CONSTANTS(:,91))+STATES(:,16)./CONSTANTS(:,93)+( STATES(:,16).*STATES(:,19))./( CONSTANTS(:,93).*CONSTANTS(:,90)));
    ALGEBRAIC(:,21) = ( CONSTANTS(:,100).*(( STATES(:,16).*STATES(:,17))./( CONSTANTS(:,98).*CONSTANTS(:,97))) -  CONSTANTS(:,116).*(power(STATES(:,15), 2.00000)./power(CONSTANTS(:,96), 2.00000)))./(1.00000+STATES(:,16)./CONSTANTS(:,98)+STATES(:,17)./CONSTANTS(:,97)+( STATES(:,16).*STATES(:,17))./( CONSTANTS(:,98).*CONSTANTS(:,97))+( 2.00000.*STATES(:,15))./CONSTANTS(:,96)+power(STATES(:,15), 2.00000)./power(CONSTANTS(:,96), 2.00000));
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