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 =40;
end
% There are a total of 6 entries in each of the rate and state variable arrays.
% There are a total of 57 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('t in component environment (second)');
    LEGEND_CONSTANTS(:,1) = strpad('R in component environment (J_per_K_per_mol)');
    LEGEND_CONSTANTS(:,2) = strpad('T in component environment (kelvin)');
    LEGEND_CONSTANTS(:,3) = strpad('F in component environment (C_per_mol)');
    LEGEND_CONSTANTS(:,4) = strpad('C_m in component environment (fF)');
    LEGEND_CONSTANTS(:,5) = strpad('K_1 in component environment (per_fmol)');
    LEGEND_CONSTANTS(:,6) = strpad('K_13 in component environment (per_fmol)');
    LEGEND_CONSTANTS(:,7) = strpad('K_14 in component environment (per_fmol)');
    LEGEND_CONSTANTS(:,8) = strpad('K_3 in component environment (per_fmol)');
    LEGEND_CONSTANTS(:,9) = strpad('K_6 in component environment (per_fmol)');
    LEGEND_CONSTANTS(:,10) = strpad('K_7 in component environment (per_fmol)');
    LEGEND_CONSTANTS(:,11) = strpad('K_H in component environment (per_fmol)');
    LEGEND_CONSTANTS(:,12) = strpad('K_Ke in component environment (per_fmol)');
    LEGEND_CONSTANTS(:,13) = strpad('K_Ki in component environment (per_fmol)');
    LEGEND_CONSTANTS(:,14) = strpad('K_MgADP in component environment (per_fmol)');
    LEGEND_CONSTANTS(:,15) = strpad('K_MgATP in component environment (per_fmol)');
    LEGEND_CONSTANTS(:,16) = strpad('K_Nae in component environment (per_fmol)');
    LEGEND_CONSTANTS(:,17) = strpad('K_Nai in component environment (per_fmol)');
    LEGEND_CONSTANTS(:,18) = strpad('K_P in component environment (per_fmol)');
    LEGEND_CONSTANTS(:,19) = strpad('kappa_1 in component environment (fmol_per_sec)');
    LEGEND_CONSTANTS(:,20) = strpad('kappa_13 in component environment (fmol_per_sec)');
    LEGEND_CONSTANTS(:,21) = strpad('kappa_15 in component environment (fmol_per_sec)');
    LEGEND_CONSTANTS(:,22) = strpad('kappa_3 in component environment (fmol_per_sec)');
    LEGEND_CONSTANTS(:,23) = strpad('kappa_6 in component environment (fmol_per_sec)');
    LEGEND_CONSTANTS(:,24) = strpad('kappa_8 in component environment (fmol_per_sec)');
    LEGEND_CONSTANTS(:,25) = strpad('z_5 in component environment (dimensionless)');
    LEGEND_CONSTANTS(:,26) = strpad('z_8 in component environment (dimensionless)');
    LEGEND_CONSTANTS(:,41) = strpad('zF_5 in component environment (C_per_mol)');
    LEGEND_CONSTANTS(:,42) = strpad('zF_8 in component environment (C_per_mol)');
    LEGEND_CONSTANTS(:,40) = strpad('x_H in component environment (fmol)');
    LEGEND_CONSTANTS(:,38) = strpad('x_Ke in component environment (fmol)');
    LEGEND_CONSTANTS(:,50) = strpad('x_Ki in component environment (fmol)');
    LEGEND_CONSTANTS(:,53) = strpad('x_MgADP in component environment (fmol)');
    LEGEND_CONSTANTS(:,39) = strpad('x_MgATP in component environment (fmol)');
    LEGEND_CONSTANTS(:,36) = strpad('x_Nae in component environment (fmol)');
    LEGEND_CONSTANTS(:,37) = strpad('x_Nai in component environment (fmol)');
    LEGEND_STATES(:,1) = strpad('x_P7 in component environment (fmol)');
    LEGEND_CONSTANTS(:,56) = strpad('x_P_i in component environment (fmol)');
    LEGEND_CONSTANTS(:,27) = strpad('q_mem in component environment (fC)');
    LEGEND_STATES(:,2) = strpad('x_P14 in component environment (fmol)');
    LEGEND_STATES(:,3) = strpad('x_P1 in component environment (fmol)');
    LEGEND_STATES(:,4) = strpad('x_P3 in component environment (fmol)');
    LEGEND_STATES(:,5) = strpad('x_P6 in component environment (fmol)');
    LEGEND_STATES(:,6) = strpad('x_P13 in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,1) = strpad('x_tot in component environment (fmol)');
    LEGEND_CONSTANTS(:,28) = strpad('small_C in component environment (mM)');
    LEGEND_CONSTANTS(:,29) = strpad('W_i in component environment (pL)');
    LEGEND_CONSTANTS(:,30) = strpad('W_e in component environment (pL)');
    LEGEND_CONSTANTS(:,31) = strpad('c_Ke in component environment (mM)');
    LEGEND_CONSTANTS(:,49) = strpad('c_Ki in component environment (mM)');
    LEGEND_CONSTANTS(:,52) = strpad('c_MgADP in component environment (mM)');
    LEGEND_CONSTANTS(:,32) = strpad('c_MgATP in component environment (mM)');
    LEGEND_CONSTANTS(:,33) = strpad('c_Nae in component environment (mM)');
    LEGEND_CONSTANTS(:,34) = strpad('c_Nai in component environment (mM)');
    LEGEND_CONSTANTS(:,55) = strpad('c_P_i in component environment (mM)');
    LEGEND_CONSTANTS(:,35) = strpad('pH in component environment (dimensionless)');
    LEGEND_CONSTANTS(:,43) = strpad('mu_H in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,30) = strpad('v_H in component environment (fmol_per_sec)');
    LEGEND_CONSTANTS(:,44) = strpad('mu_Ke in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,36) = strpad('v_Ke in component environment (fmol_per_sec)');
    LEGEND_CONSTANTS(:,51) = strpad('mu_Ki in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,19) = strpad('v_Ki in component environment (fmol_per_sec)');
    LEGEND_CONSTANTS(:,54) = strpad('mu_MgADP in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,15) = strpad('v_MgADP in component environment (fmol_per_sec)');
    LEGEND_CONSTANTS(:,45) = strpad('mu_MgATP in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,10) = strpad('v_MgATP in component environment (fmol_per_sec)');
    LEGEND_CONSTANTS(:,46) = strpad('mu_Nae in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,37) = strpad('v_Nae in component environment (fmol_per_sec)');
    LEGEND_CONSTANTS(:,47) = strpad('mu_Nai in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,24) = strpad('v_Nai in component environment (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,2) = strpad('mu_P7 in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,38) = strpad('v_P7 in component environment (fmol_per_sec)');
    LEGEND_CONSTANTS(:,57) = strpad('mu_P_i in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,31) = strpad('v_P_i in component environment (fmol_per_sec)');
    LEGEND_CONSTANTS(:,48) = strpad('V_mem in component environment (volt)');
    LEGEND_ALGEBRAIC(:,39) = strpad('I_mem in component environment (fA)');
    LEGEND_ALGEBRAIC(:,28) = strpad('Af_R13 in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,5) = strpad('Ar_R13 in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,29) = strpad('v_R13 in component environment (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,6) = strpad('Af_R15 in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,8) = strpad('Ar_R15 in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,9) = strpad('v_R15 in component environment (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,13) = strpad('Af_R6 in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,3) = strpad('Ar_R6 in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,14) = strpad('v_R6 in component environment (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,4) = strpad('mu_P14 in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,32) = strpad('v_P14 in component environment (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,7) = strpad('mu_P1 in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,20) = strpad('v_P1 in component environment (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,11) = strpad('mu_P3 in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,25) = strpad('v_P3 in component environment (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,12) = strpad('mu_P6 in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,26) = strpad('v_P6 in component environment (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,16) = strpad('Af_R1 in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,17) = strpad('Ar_R1 in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,18) = strpad('v_R1 in component environment (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,21) = strpad('Af_R3 in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,22) = strpad('Ar_R3 in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,23) = strpad('v_R3 in component environment (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,27) = strpad('mu_P13 in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,40) = strpad('v_P13 in component environment (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,33) = strpad('Af_R8 in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,34) = strpad('Ar_R8 in component environment (J_per_mol)');
    LEGEND_ALGEBRAIC(:,35) = strpad('v_R8 in component environment (fmol_per_sec)');
    LEGEND_RATES(:,1) = strpad('d/dt x_P7 in component environment (fmol)');
    LEGEND_RATES(:,2) = strpad('d/dt x_P14 in component environment (fmol)');
    LEGEND_RATES(:,3) = strpad('d/dt x_P1 in component environment (fmol)');
    LEGEND_RATES(:,4) = strpad('d/dt x_P3 in component environment (fmol)');
    LEGEND_RATES(:,5) = strpad('d/dt x_P6 in component environment (fmol)');
    LEGEND_RATES(:,6) = strpad('d/dt x_P13 in component environment (fmol)');
    LEGEND_STATES  = LEGEND_STATES';
    LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
    LEGEND_RATES = LEGEND_RATES';
    LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end

function [STATES, CONSTANTS] = initConsts()
    VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
    CONSTANTS(:,1) = 8.314;
    CONSTANTS(:,2) = 310;
    CONSTANTS(:,3) = 96485;
    CONSTANTS(:,4) = 153400;
    CONSTANTS(:,5) = 13085378.038167767;
    CONSTANTS(:,6) = 0.6020622798357556;
    CONSTANTS(:,7) = 69.38568269665376;
    CONSTANTS(:,8) = 46.24091666474313;
    CONSTANTS(:,9) = 79.09015560598799;
    CONSTANTS(:,10) = 4239.416835123694;
    CONSTANTS(:,11) = 0.04565;
    CONSTANTS(:,12) = 0.009236;
    CONSTANTS(:,13) = 0.0012595;
    CONSTANTS(:,14) = 7.976e-05;
    CONSTANTS(:,15) = 2.3715;
    CONSTANTS(:,16) = 0.0061242;
    CONSTANTS(:,17) = 0.00083514;
    CONSTANTS(:,18) = 0.04565;
    CONSTANTS(:,19) = 6.973455976480863;
    CONSTANTS(:,20) = 475.81557480252013;
    CONSTANTS(:,21) = 0.035418056157766185;
    CONSTANTS(:,22) = 861399.5138047301;
    CONSTANTS(:,23) = 1.4100547742408052;
    CONSTANTS(:,24) = 2.2855;
    CONSTANTS(:,25) = -0.054951;
    CONSTANTS(:,26) = -0.94505;
    STATES(:,1) = 0.8590;
    CONSTANTS(:,27) = -18408;
    STATES(:,2) = 0.0100192141898171;
    STATES(:,3) = 6.50836196830909e-10;
    STATES(:,4) = 0.00292644413780957;
    STATES(:,5) = 0.0154965229998754;
    STATES(:,6) = 0.112426414453276;
    CONSTANTS(:,28) = 1e-3;
    CONSTANTS(:,29) = 38;
    CONSTANTS(:,30) = 5.182;
    CONSTANTS(:,31) = 5.4;
    CONSTANTS(:,32) = 10;
    CONSTANTS(:,33) = 150;
    CONSTANTS(:,34) = 50;
    CONSTANTS(:,35) = 7.4;
    CONSTANTS(:,36) =  CONSTANTS(:,33).*CONSTANTS(:,30);
    CONSTANTS(:,37) =  CONSTANTS(:,34).*CONSTANTS(:,29);
    CONSTANTS(:,38) =  CONSTANTS(:,31).*CONSTANTS(:,30);
    CONSTANTS(:,39) =  CONSTANTS(:,32).*CONSTANTS(:,29);
    CONSTANTS(:,40) =  power(10.0000,  - CONSTANTS(:,35)).*1000.00.*CONSTANTS(:,29);
    CONSTANTS(:,41) =  CONSTANTS(:,25).*CONSTANTS(:,3);
    CONSTANTS(:,42) =  CONSTANTS(:,26).*CONSTANTS(:,3);
    CONSTANTS(:,43) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,11).*CONSTANTS(:,40));
    CONSTANTS(:,44) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,12).*CONSTANTS(:,38));
    CONSTANTS(:,45) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,15).*CONSTANTS(:,39));
    CONSTANTS(:,46) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,16).*CONSTANTS(:,36));
    CONSTANTS(:,47) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,17).*CONSTANTS(:,37));
    CONSTANTS(:,48) = CONSTANTS(:,27)./CONSTANTS(:,4);
    CONSTANTS(:,49) = CONSTANTS(:,28);
    CONSTANTS(:,50) =  CONSTANTS(:,49).*CONSTANTS(:,29);
    CONSTANTS(:,51) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,13).*CONSTANTS(:,50));
    CONSTANTS(:,52) = CONSTANTS(:,28);
    CONSTANTS(:,53) =  CONSTANTS(:,52).*CONSTANTS(:,29);
    CONSTANTS(:,54) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,14).*CONSTANTS(:,53));
    CONSTANTS(:,55) = CONSTANTS(:,28);
    CONSTANTS(:,56) =  CONSTANTS(:,55).*CONSTANTS(:,29);
    CONSTANTS(:,57) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,18).*CONSTANTS(:,56));
    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(:,4) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,7).*STATES(:,2));
    ALGEBRAIC(:,6) = ALGEBRAIC(:,4)+CONSTANTS(:,45);
    ALGEBRAIC(:,7) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,5).*STATES(:,3));
    ALGEBRAIC(:,8) = ALGEBRAIC(:,7);
    ALGEBRAIC(:,9) =  CONSTANTS(:,21).*(exp(ALGEBRAIC(:,6)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,8)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,16) = ALGEBRAIC(:,7);
    ALGEBRAIC(:,11) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,8).*STATES(:,4));
    ALGEBRAIC(:,17) = ALGEBRAIC(:,11)+ 2.00000.*CONSTANTS(:,51);
    ALGEBRAIC(:,18) =  CONSTANTS(:,19).*(exp(ALGEBRAIC(:,16)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,17)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,20) = ALGEBRAIC(:,9) - ALGEBRAIC(:,18);
    RATES(:,3) = ALGEBRAIC(:,20);
    ALGEBRAIC(:,21) = ALGEBRAIC(:,11)+ 3.00000.*CONSTANTS(:,47);
    ALGEBRAIC(:,12) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,9).*STATES(:,5));
    ALGEBRAIC(:,22) =  CONSTANTS(:,41).*CONSTANTS(:,48)+ALGEBRAIC(:,12);
    ALGEBRAIC(:,23) =  CONSTANTS(:,22).*(exp(ALGEBRAIC(:,21)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,22)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,25) = ALGEBRAIC(:,18) - ALGEBRAIC(:,23);
    RATES(:,4) = ALGEBRAIC(:,25);
    ALGEBRAIC(:,13) = ALGEBRAIC(:,12);
    ALGEBRAIC(:,2) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,10).*STATES(:,1));
    ALGEBRAIC(:,3) = ALGEBRAIC(:,2)+CONSTANTS(:,54);
    ALGEBRAIC(:,14) =  CONSTANTS(:,23).*(exp(ALGEBRAIC(:,13)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,3)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,26) = ALGEBRAIC(:,23) - ALGEBRAIC(:,14);
    RATES(:,5) = ALGEBRAIC(:,26);
    ALGEBRAIC(:,27) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,6).*STATES(:,6));
    ALGEBRAIC(:,28) = ALGEBRAIC(:,27);
    ALGEBRAIC(:,5) = ALGEBRAIC(:,4)+CONSTANTS(:,57)+CONSTANTS(:,43);
    ALGEBRAIC(:,29) =  CONSTANTS(:,20).*(exp(ALGEBRAIC(:,28)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,5)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,32) = ALGEBRAIC(:,29) - ALGEBRAIC(:,9);
    RATES(:,2) = ALGEBRAIC(:,32);
    ALGEBRAIC(:,33) = ALGEBRAIC(:,2)+ 2.00000.*CONSTANTS(:,44);
    ALGEBRAIC(:,34) = ALGEBRAIC(:,27)+ 3.00000.*CONSTANTS(:,46)+ CONSTANTS(:,42).*CONSTANTS(:,48);
    ALGEBRAIC(:,35) =  CONSTANTS(:,24).*(exp(ALGEBRAIC(:,33)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,34)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,38) = ALGEBRAIC(:,14) - ALGEBRAIC(:,35);
    RATES(:,1) = ALGEBRAIC(:,38);
    ALGEBRAIC(:,40) = ALGEBRAIC(:,35) - ALGEBRAIC(:,29);
    RATES(:,6) = ALGEBRAIC(:,40);
   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(:,4) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,7).*STATES(:,2));
    ALGEBRAIC(:,6) = ALGEBRAIC(:,4)+CONSTANTS(:,45);
    ALGEBRAIC(:,7) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,5).*STATES(:,3));
    ALGEBRAIC(:,8) = ALGEBRAIC(:,7);
    ALGEBRAIC(:,9) =  CONSTANTS(:,21).*(exp(ALGEBRAIC(:,6)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,8)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,16) = ALGEBRAIC(:,7);
    ALGEBRAIC(:,11) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,8).*STATES(:,4));
    ALGEBRAIC(:,17) = ALGEBRAIC(:,11)+ 2.00000.*CONSTANTS(:,51);
    ALGEBRAIC(:,18) =  CONSTANTS(:,19).*(exp(ALGEBRAIC(:,16)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,17)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,20) = ALGEBRAIC(:,9) - ALGEBRAIC(:,18);
    ALGEBRAIC(:,21) = ALGEBRAIC(:,11)+ 3.00000.*CONSTANTS(:,47);
    ALGEBRAIC(:,12) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,9).*STATES(:,5));
    ALGEBRAIC(:,22) =  CONSTANTS(:,41).*CONSTANTS(:,48)+ALGEBRAIC(:,12);
    ALGEBRAIC(:,23) =  CONSTANTS(:,22).*(exp(ALGEBRAIC(:,21)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,22)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,25) = ALGEBRAIC(:,18) - ALGEBRAIC(:,23);
    ALGEBRAIC(:,13) = ALGEBRAIC(:,12);
    ALGEBRAIC(:,2) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,10).*STATES(:,1));
    ALGEBRAIC(:,3) = ALGEBRAIC(:,2)+CONSTANTS(:,54);
    ALGEBRAIC(:,14) =  CONSTANTS(:,23).*(exp(ALGEBRAIC(:,13)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,3)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,26) = ALGEBRAIC(:,23) - ALGEBRAIC(:,14);
    ALGEBRAIC(:,27) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,6).*STATES(:,6));
    ALGEBRAIC(:,28) = ALGEBRAIC(:,27);
    ALGEBRAIC(:,5) = ALGEBRAIC(:,4)+CONSTANTS(:,57)+CONSTANTS(:,43);
    ALGEBRAIC(:,29) =  CONSTANTS(:,20).*(exp(ALGEBRAIC(:,28)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,5)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,32) = ALGEBRAIC(:,29) - ALGEBRAIC(:,9);
    ALGEBRAIC(:,33) = ALGEBRAIC(:,2)+ 2.00000.*CONSTANTS(:,44);
    ALGEBRAIC(:,34) = ALGEBRAIC(:,27)+ 3.00000.*CONSTANTS(:,46)+ CONSTANTS(:,42).*CONSTANTS(:,48);
    ALGEBRAIC(:,35) =  CONSTANTS(:,24).*(exp(ALGEBRAIC(:,33)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,34)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,38) = ALGEBRAIC(:,14) - ALGEBRAIC(:,35);
    ALGEBRAIC(:,40) = ALGEBRAIC(:,35) - ALGEBRAIC(:,29);
    ALGEBRAIC(:,1) = STATES(:,3)+STATES(:,4)+STATES(:,5)+STATES(:,6)+STATES(:,1)+STATES(:,2);
    ALGEBRAIC(:,10) =  - ALGEBRAIC(:,9);
    ALGEBRAIC(:,15) = ALGEBRAIC(:,14);
    ALGEBRAIC(:,19) =  2.00000.*ALGEBRAIC(:,18);
    ALGEBRAIC(:,24) =   - 3.00000.*ALGEBRAIC(:,23);
    ALGEBRAIC(:,30) = ALGEBRAIC(:,29);
    ALGEBRAIC(:,31) = ALGEBRAIC(:,29);
    ALGEBRAIC(:,36) =   - 2.00000.*ALGEBRAIC(:,35);
    ALGEBRAIC(:,37) =  3.00000.*ALGEBRAIC(:,35);
    ALGEBRAIC(:,39) =  CONSTANTS(:,41).*ALGEBRAIC(:,23)+ CONSTANTS(:,42).*ALGEBRAIC(:,35);
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