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 =36;
end
% There are a total of 14 entries in each of the rate and state variable arrays.
% There are a total of 39 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('q_cAMP_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,2) = strpad('q_PKI_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,3) = strpad('q_PKACI_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,4) = strpad('q_ARCI_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,5) = strpad('q_A2RCI_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,6) = strpad('q_CI_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,7) = strpad('q_A2RI_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,8) = strpad('q_PKACI_PKI_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,9) = strpad('q_PKACII_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,10) = strpad('q_ARCII_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,11) = strpad('q_A2RCII_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,12) = strpad('q_CII_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,13) = strpad('q_A2RII_init in component environment (fmol)');
    LEGEND_CONSTANTS(:,14) = strpad('q_PKACII_PKI_init in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,1) = strpad('q_cAMP in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,2) = strpad('q_PKI in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,3) = strpad('q_PKACI in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,4) = strpad('q_ARCI in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,5) = strpad('q_A2RCI in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,6) = strpad('q_CI in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,7) = strpad('q_A2RI in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,8) = strpad('q_PKACI_PKI in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,9) = strpad('q_PKACII in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,10) = strpad('q_ARCII in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,11) = strpad('q_A2RCII in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,12) = strpad('q_CII in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,13) = strpad('q_A2RII in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,14) = strpad('q_PKACII_PKI in component environment (fmol)');
    LEGEND_STATES(:,1) = strpad('q_cAMP in component PKA (fmol)');
    LEGEND_STATES(:,2) = strpad('q_PKI in component PKA (fmol)');
    LEGEND_STATES(:,3) = strpad('q_PKACI in component PKA (fmol)');
    LEGEND_STATES(:,4) = strpad('q_ARCI in component PKA (fmol)');
    LEGEND_STATES(:,5) = strpad('q_A2RCI in component PKA (fmol)');
    LEGEND_STATES(:,6) = strpad('q_CI in component PKA (fmol)');
    LEGEND_STATES(:,7) = strpad('q_A2RI in component PKA (fmol)');
    LEGEND_STATES(:,8) = strpad('q_PKACI_PKI in component PKA (fmol)');
    LEGEND_STATES(:,9) = strpad('q_PKACII in component PKA (fmol)');
    LEGEND_STATES(:,10) = strpad('q_ARCII in component PKA (fmol)');
    LEGEND_STATES(:,11) = strpad('q_A2RCII in component PKA (fmol)');
    LEGEND_STATES(:,12) = strpad('q_CII in component PKA (fmol)');
    LEGEND_STATES(:,13) = strpad('q_A2RII in component PKA (fmol)');
    LEGEND_STATES(:,14) = strpad('q_PKACII_PKI in component PKA (fmol)');
    LEGEND_CONSTANTS(:,15) = strpad('kappa_aI in component PKA_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,16) = strpad('kappa_bI in component PKA_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,17) = strpad('kappa_dI in component PKA_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,18) = strpad('kappa_iI in component PKA_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,19) = strpad('kappa_aII in component PKA_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,20) = strpad('kappa_bII in component PKA_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,21) = strpad('kappa_dII in component PKA_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,22) = strpad('kappa_iII in component PKA_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,23) = strpad('K_cAMP in component PKA_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,24) = strpad('K_PKI in component PKA_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,25) = strpad('K_PKACI in component PKA_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,26) = strpad('K_ARCI in component PKA_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,27) = strpad('K_A2RCI in component PKA_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,28) = strpad('K_CI in component PKA_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,29) = strpad('K_A2RI in component PKA_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,30) = strpad('K_PKACI_PKI in component PKA_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,31) = strpad('K_PKACII in component PKA_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,32) = strpad('K_ARCII in component PKA_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,33) = strpad('K_A2RCII in component PKA_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,34) = strpad('K_CII in component PKA_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,35) = strpad('K_A2RII in component PKA_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,36) = strpad('K_PKACII_PKI in component PKA_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,37) = strpad('R in component constants (J_per_K_per_mol)');
    LEGEND_CONSTANTS(:,38) = strpad('T in component constants (kelvin)');
    LEGEND_ALGEBRAIC(:,29) = strpad('vaI in component PKA (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,30) = strpad('vbI in component PKA (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,31) = strpad('vdI in component PKA (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,32) = strpad('viI in component PKA (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,33) = strpad('vaII in component PKA (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,34) = strpad('vbII in component PKA (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,35) = strpad('vdII in component PKA (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,36) = strpad('viII in component PKA (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,15) = strpad('mu_cAMP in component PKA (J_per_mol)');
    LEGEND_ALGEBRAIC(:,16) = strpad('mu_PKI in component PKA (J_per_mol)');
    LEGEND_ALGEBRAIC(:,17) = strpad('mu_PKACI in component PKA (J_per_mol)');
    LEGEND_ALGEBRAIC(:,18) = strpad('mu_ARCI in component PKA (J_per_mol)');
    LEGEND_ALGEBRAIC(:,19) = strpad('mu_A2RCI in component PKA (J_per_mol)');
    LEGEND_ALGEBRAIC(:,20) = strpad('mu_CI in component PKA (J_per_mol)');
    LEGEND_ALGEBRAIC(:,21) = strpad('mu_A2RI in component PKA (J_per_mol)');
    LEGEND_ALGEBRAIC(:,22) = strpad('mu_PKACI_PKI in component PKA (J_per_mol)');
    LEGEND_ALGEBRAIC(:,23) = strpad('mu_PKACII in component PKA (J_per_mol)');
    LEGEND_ALGEBRAIC(:,24) = strpad('mu_ARCII in component PKA (J_per_mol)');
    LEGEND_ALGEBRAIC(:,25) = strpad('mu_A2RCII in component PKA (J_per_mol)');
    LEGEND_ALGEBRAIC(:,26) = strpad('mu_CII in component PKA (J_per_mol)');
    LEGEND_ALGEBRAIC(:,27) = strpad('mu_A2RII in component PKA (J_per_mol)');
    LEGEND_ALGEBRAIC(:,28) = strpad('mu_PKACII_PKI in component PKA (J_per_mol)');
    LEGEND_CONSTANTS(:,39) = strpad('F in component constants (C_per_mol)');
    LEGEND_RATES(:,1) = strpad('d/dt q_cAMP in component PKA (fmol)');
    LEGEND_RATES(:,2) = strpad('d/dt q_PKI in component PKA (fmol)');
    LEGEND_RATES(:,3) = strpad('d/dt q_PKACI in component PKA (fmol)');
    LEGEND_RATES(:,4) = strpad('d/dt q_ARCI in component PKA (fmol)');
    LEGEND_RATES(:,5) = strpad('d/dt q_A2RCI in component PKA (fmol)');
    LEGEND_RATES(:,6) = strpad('d/dt q_CI in component PKA (fmol)');
    LEGEND_RATES(:,7) = strpad('d/dt q_A2RI in component PKA (fmol)');
    LEGEND_RATES(:,8) = strpad('d/dt q_PKACI_PKI in component PKA (fmol)');
    LEGEND_RATES(:,9) = strpad('d/dt q_PKACII in component PKA (fmol)');
    LEGEND_RATES(:,10) = strpad('d/dt q_ARCII in component PKA (fmol)');
    LEGEND_RATES(:,11) = strpad('d/dt q_A2RCII in component PKA (fmol)');
    LEGEND_RATES(:,12) = strpad('d/dt q_CII in component PKA (fmol)');
    LEGEND_RATES(:,13) = strpad('d/dt q_A2RII in component PKA (fmol)');
    LEGEND_RATES(:,14) = strpad('d/dt q_PKACII_PKI in component PKA (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) = 3.212E-02;
    CONSTANTS(:,2) = 6.840E-03;
    CONSTANTS(:,3) = 2.242E-02;
    CONSTANTS(:,4) = 3.800E-15;
    CONSTANTS(:,5) = 3.800E-15;
    CONSTANTS(:,6) = 3.800E-15;
    CONSTANTS(:,7) = 3.800E-15;
    CONSTANTS(:,8) = 3.800E-15;
    CONSTANTS(:,9) = 9.500E-04;
    CONSTANTS(:,10) = 3.800E-15;
    CONSTANTS(:,11) = 3.800E-15;
    CONSTANTS(:,12) = 3.800E-15;
    CONSTANTS(:,13) = 3.800E-15;
    CONSTANTS(:,14) = 3.800E-15;
    STATES(:,1) = 1e-16;
    STATES(:,2) = 1e-16;
    STATES(:,3) = 1e-16;
    STATES(:,4) = 1e-16;
    STATES(:,5) = 1e-16;
    STATES(:,6) = 1e-16;
    STATES(:,7) = 1e-16;
    STATES(:,8) = 1e-16;
    STATES(:,9) = 1e-16;
    STATES(:,10) = 1e-16;
    STATES(:,11) = 1e-16;
    STATES(:,12) = 1e-16;
    STATES(:,13) = 1e-16;
    STATES(:,14) = 1e-16;
    CONSTANTS(:,15) = 48.0417;
    CONSTANTS(:,16) = 21.1895;
    CONSTANTS(:,17) = 4.84331;
    CONSTANTS(:,18) = 149.139;
    CONSTANTS(:,19) = 48.0417;
    CONSTANTS(:,20) = 21.1895;
    CONSTANTS(:,21) = 4.84331;
    CONSTANTS(:,22) = 149.139;
    CONSTANTS(:,23) = 0.0401879;
    CONSTANTS(:,24) = 14.3814;
    CONSTANTS(:,25) = 0.0478876;
    CONSTANTS(:,26) = 0.605095;
    CONSTANTS(:,27) = 1.3719;
    CONSTANTS(:,28) = 1.96997;
    CONSTANTS(:,29) = 0.0885687;
    CONSTANTS(:,30) = 0.194918;
    CONSTANTS(:,31) = 0.0478876;
    CONSTANTS(:,32) = 0.605095;
    CONSTANTS(:,33) = 1.3719;
    CONSTANTS(:,34) = 1.96997;
    CONSTANTS(:,35) = 0.0885687;
    CONSTANTS(:,36) = 0.194918;
    CONSTANTS(:,37) = 8.31;
    CONSTANTS(:,38) = 310;
    CONSTANTS(:,39) = 96485;
    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) = STATES(:,1)+CONSTANTS(:,1);
    ALGEBRAIC(:,15) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,23).*ALGEBRAIC(:,1));
    ALGEBRAIC(:,3) = STATES(:,3)+CONSTANTS(:,3);
    ALGEBRAIC(:,17) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,25).*ALGEBRAIC(:,3));
    ALGEBRAIC(:,4) = STATES(:,4)+CONSTANTS(:,4);
    ALGEBRAIC(:,18) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,26).*ALGEBRAIC(:,4));
    ALGEBRAIC(:,29) =  CONSTANTS(:,15).*(exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,15))./( CONSTANTS(:,37).*CONSTANTS(:,38))) - exp(ALGEBRAIC(:,18)./( CONSTANTS(:,37).*CONSTANTS(:,38))));
    RATES(:,3) =  - ALGEBRAIC(:,29);
    ALGEBRAIC(:,5) = STATES(:,5)+CONSTANTS(:,5);
    ALGEBRAIC(:,19) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,27).*ALGEBRAIC(:,5));
    ALGEBRAIC(:,30) =  CONSTANTS(:,16).*(exp((ALGEBRAIC(:,18)+ALGEBRAIC(:,15))./( CONSTANTS(:,37).*CONSTANTS(:,38))) - exp(ALGEBRAIC(:,19)./( CONSTANTS(:,37).*CONSTANTS(:,38))));
    RATES(:,4) = ALGEBRAIC(:,29) - ALGEBRAIC(:,30);
    ALGEBRAIC(:,6) = STATES(:,6)+CONSTANTS(:,6);
    ALGEBRAIC(:,20) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,28).*ALGEBRAIC(:,6));
    ALGEBRAIC(:,7) = STATES(:,7)+CONSTANTS(:,7);
    ALGEBRAIC(:,21) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,29).*ALGEBRAIC(:,7));
    ALGEBRAIC(:,31) =  CONSTANTS(:,17).*(exp(ALGEBRAIC(:,19)./( CONSTANTS(:,37).*CONSTANTS(:,38))) - exp((ALGEBRAIC(:,21)+ALGEBRAIC(:,20))./( CONSTANTS(:,37).*CONSTANTS(:,38))));
    RATES(:,5) = ALGEBRAIC(:,30) - ALGEBRAIC(:,31);
    RATES(:,7) = ALGEBRAIC(:,31);
    ALGEBRAIC(:,2) = STATES(:,2)+CONSTANTS(:,2);
    ALGEBRAIC(:,16) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,24).*ALGEBRAIC(:,2));
    ALGEBRAIC(:,8) = STATES(:,8)+CONSTANTS(:,8);
    ALGEBRAIC(:,22) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,30).*ALGEBRAIC(:,8));
    ALGEBRAIC(:,32) =  CONSTANTS(:,18).*(exp((ALGEBRAIC(:,20)+ALGEBRAIC(:,16))./( CONSTANTS(:,37).*CONSTANTS(:,38))) - exp(ALGEBRAIC(:,22)./( CONSTANTS(:,37).*CONSTANTS(:,38))));
    RATES(:,6) = ALGEBRAIC(:,31) - ALGEBRAIC(:,32);
    RATES(:,8) = ALGEBRAIC(:,32);
    ALGEBRAIC(:,9) = STATES(:,9)+CONSTANTS(:,9);
    ALGEBRAIC(:,23) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,31).*ALGEBRAIC(:,9));
    ALGEBRAIC(:,10) = STATES(:,10)+CONSTANTS(:,10);
    ALGEBRAIC(:,24) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,32).*ALGEBRAIC(:,10));
    ALGEBRAIC(:,33) =  CONSTANTS(:,19).*(exp((ALGEBRAIC(:,23)+ALGEBRAIC(:,15))./( CONSTANTS(:,37).*CONSTANTS(:,38))) - exp(ALGEBRAIC(:,24)./( CONSTANTS(:,37).*CONSTANTS(:,38))));
    RATES(:,9) =  - ALGEBRAIC(:,33);
    ALGEBRAIC(:,11) = STATES(:,11)+CONSTANTS(:,11);
    ALGEBRAIC(:,25) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,33).*ALGEBRAIC(:,11));
    ALGEBRAIC(:,34) =  CONSTANTS(:,20).*(exp((ALGEBRAIC(:,24)+ALGEBRAIC(:,15))./( CONSTANTS(:,37).*CONSTANTS(:,38))) - exp(ALGEBRAIC(:,25)./( CONSTANTS(:,37).*CONSTANTS(:,38))));
    RATES(:,1) = (( - ALGEBRAIC(:,29) - ALGEBRAIC(:,30)) - ALGEBRAIC(:,33)) - ALGEBRAIC(:,34);
    RATES(:,10) = ALGEBRAIC(:,33) - ALGEBRAIC(:,34);
    ALGEBRAIC(:,12) = STATES(:,12)+CONSTANTS(:,12);
    ALGEBRAIC(:,26) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,34).*ALGEBRAIC(:,12));
    ALGEBRAIC(:,13) = STATES(:,13)+CONSTANTS(:,13);
    ALGEBRAIC(:,27) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,35).*ALGEBRAIC(:,13));
    ALGEBRAIC(:,35) =  CONSTANTS(:,21).*(exp(ALGEBRAIC(:,25)./( CONSTANTS(:,37).*CONSTANTS(:,38))) - exp((ALGEBRAIC(:,27)+ALGEBRAIC(:,26))./( CONSTANTS(:,37).*CONSTANTS(:,38))));
    RATES(:,11) = ALGEBRAIC(:,34) - ALGEBRAIC(:,35);
    RATES(:,13) = ALGEBRAIC(:,35);
    ALGEBRAIC(:,14) = STATES(:,14)+CONSTANTS(:,14);
    ALGEBRAIC(:,28) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,36).*ALGEBRAIC(:,14));
    ALGEBRAIC(:,36) =  CONSTANTS(:,22).*(exp((ALGEBRAIC(:,26)+ALGEBRAIC(:,16))./( CONSTANTS(:,37).*CONSTANTS(:,38))) - exp(ALGEBRAIC(:,28)./( CONSTANTS(:,37).*CONSTANTS(:,38))));
    RATES(:,2) =  - ALGEBRAIC(:,32) - ALGEBRAIC(:,36);
    RATES(:,12) = ALGEBRAIC(:,35) - ALGEBRAIC(:,36);
    RATES(:,14) = ALGEBRAIC(:,36);
   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) = STATES(:,1)+CONSTANTS(:,1);
    ALGEBRAIC(:,15) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,23).*ALGEBRAIC(:,1));
    ALGEBRAIC(:,3) = STATES(:,3)+CONSTANTS(:,3);
    ALGEBRAIC(:,17) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,25).*ALGEBRAIC(:,3));
    ALGEBRAIC(:,4) = STATES(:,4)+CONSTANTS(:,4);
    ALGEBRAIC(:,18) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,26).*ALGEBRAIC(:,4));
    ALGEBRAIC(:,29) =  CONSTANTS(:,15).*(exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,15))./( CONSTANTS(:,37).*CONSTANTS(:,38))) - exp(ALGEBRAIC(:,18)./( CONSTANTS(:,37).*CONSTANTS(:,38))));
    ALGEBRAIC(:,5) = STATES(:,5)+CONSTANTS(:,5);
    ALGEBRAIC(:,19) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,27).*ALGEBRAIC(:,5));
    ALGEBRAIC(:,30) =  CONSTANTS(:,16).*(exp((ALGEBRAIC(:,18)+ALGEBRAIC(:,15))./( CONSTANTS(:,37).*CONSTANTS(:,38))) - exp(ALGEBRAIC(:,19)./( CONSTANTS(:,37).*CONSTANTS(:,38))));
    ALGEBRAIC(:,6) = STATES(:,6)+CONSTANTS(:,6);
    ALGEBRAIC(:,20) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,28).*ALGEBRAIC(:,6));
    ALGEBRAIC(:,7) = STATES(:,7)+CONSTANTS(:,7);
    ALGEBRAIC(:,21) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,29).*ALGEBRAIC(:,7));
    ALGEBRAIC(:,31) =  CONSTANTS(:,17).*(exp(ALGEBRAIC(:,19)./( CONSTANTS(:,37).*CONSTANTS(:,38))) - exp((ALGEBRAIC(:,21)+ALGEBRAIC(:,20))./( CONSTANTS(:,37).*CONSTANTS(:,38))));
    ALGEBRAIC(:,2) = STATES(:,2)+CONSTANTS(:,2);
    ALGEBRAIC(:,16) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,24).*ALGEBRAIC(:,2));
    ALGEBRAIC(:,8) = STATES(:,8)+CONSTANTS(:,8);
    ALGEBRAIC(:,22) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,30).*ALGEBRAIC(:,8));
    ALGEBRAIC(:,32) =  CONSTANTS(:,18).*(exp((ALGEBRAIC(:,20)+ALGEBRAIC(:,16))./( CONSTANTS(:,37).*CONSTANTS(:,38))) - exp(ALGEBRAIC(:,22)./( CONSTANTS(:,37).*CONSTANTS(:,38))));
    ALGEBRAIC(:,9) = STATES(:,9)+CONSTANTS(:,9);
    ALGEBRAIC(:,23) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,31).*ALGEBRAIC(:,9));
    ALGEBRAIC(:,10) = STATES(:,10)+CONSTANTS(:,10);
    ALGEBRAIC(:,24) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,32).*ALGEBRAIC(:,10));
    ALGEBRAIC(:,33) =  CONSTANTS(:,19).*(exp((ALGEBRAIC(:,23)+ALGEBRAIC(:,15))./( CONSTANTS(:,37).*CONSTANTS(:,38))) - exp(ALGEBRAIC(:,24)./( CONSTANTS(:,37).*CONSTANTS(:,38))));
    ALGEBRAIC(:,11) = STATES(:,11)+CONSTANTS(:,11);
    ALGEBRAIC(:,25) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,33).*ALGEBRAIC(:,11));
    ALGEBRAIC(:,34) =  CONSTANTS(:,20).*(exp((ALGEBRAIC(:,24)+ALGEBRAIC(:,15))./( CONSTANTS(:,37).*CONSTANTS(:,38))) - exp(ALGEBRAIC(:,25)./( CONSTANTS(:,37).*CONSTANTS(:,38))));
    ALGEBRAIC(:,12) = STATES(:,12)+CONSTANTS(:,12);
    ALGEBRAIC(:,26) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,34).*ALGEBRAIC(:,12));
    ALGEBRAIC(:,13) = STATES(:,13)+CONSTANTS(:,13);
    ALGEBRAIC(:,27) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,35).*ALGEBRAIC(:,13));
    ALGEBRAIC(:,35) =  CONSTANTS(:,21).*(exp(ALGEBRAIC(:,25)./( CONSTANTS(:,37).*CONSTANTS(:,38))) - exp((ALGEBRAIC(:,27)+ALGEBRAIC(:,26))./( CONSTANTS(:,37).*CONSTANTS(:,38))));
    ALGEBRAIC(:,14) = STATES(:,14)+CONSTANTS(:,14);
    ALGEBRAIC(:,28) =  CONSTANTS(:,37).*CONSTANTS(:,38).*log( CONSTANTS(:,36).*ALGEBRAIC(:,14));
    ALGEBRAIC(:,36) =  CONSTANTS(:,22).*(exp((ALGEBRAIC(:,26)+ALGEBRAIC(:,16))./( CONSTANTS(:,37).*CONSTANTS(:,38))) - exp(ALGEBRAIC(:,28)./( CONSTANTS(:,37).*CONSTANTS(:,38))));
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