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 =31;
end
% There are a total of 14 entries in each of the rate and state variable arrays.
% There are a total of 31 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('vol_myo in component environment (pL)');
    LEGEND_STATES(:,1) = strpad('q_DAG in component environment (fmol)');
    LEGEND_STATES(:,2) = strpad('q_PC in component environment (fmol)');
    LEGEND_STATES(:,3) = strpad('q_IP3 in component environment (fmol)');
    LEGEND_STATES(:,4) = strpad('q_Ino in component environment (fmol)');
    LEGEND_STATES(:,5) = strpad('q_PLC in component environment (fmol)');
    LEGEND_STATES(:,6) = strpad('q_Gq in component environment (fmol)');
    LEGEND_STATES(:,7) = strpad('q_Ca in component environment (fmol)');
    LEGEND_STATES(:,8) = strpad('q_Gq_PLC in component environment (fmol)');
    LEGEND_STATES(:,9) = strpad('q_Ca_PLC in component environment (fmol)');
    LEGEND_STATES(:,10) = strpad('q_Ca_Gq_PLC in component environment (fmol)');
    LEGEND_STATES(:,11) = strpad('q_G_GDP in component environment (fmol)');
    LEGEND_STATES(:,12) = strpad('q_PIP2 in component environment (fmol)');
    LEGEND_STATES(:,13) = strpad('q_CaPLC_PIP2 in component environment (fmol)');
    LEGEND_STATES(:,14) = strpad('q_CaGqPLC_PIP2 in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,21) = strpad('v_R0_PLC in component PLC (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,22) = strpad('v_R1_PLC in component PLC (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,23) = strpad('v_R2a_PLC in component PLC (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,24) = strpad('v_R2b_PLC in component PLC (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,25) = strpad('v_R3a_PLC in component PLC (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,26) = strpad('v_R3b_PLC in component PLC (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,27) = strpad('v_R4_PLC in component PLC (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,28) = strpad('v_R5_PLC in component PLC (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,29) = strpad('v_R6_PLC in component PLC (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,30) = strpad('v_R7_PLC in component PLC (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,31) = strpad('v_R8_PLC in component PLC (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,6) = strpad('Gq_stim in component environment (fmol_per_sec)');
    LEGEND_CONSTANTS(:,2) = strpad('stimPeriod in component environment (second)');
    LEGEND_CONSTANTS(:,3) = strpad('stimDuration in component environment (second)');
    LEGEND_ALGEBRAIC(:,1) = strpad('tPeriod in component environment (second)');
    LEGEND_ALGEBRAIC(:,2) = strpad('cGq in component environment (mM)');
    LEGEND_ALGEBRAIC(:,3) = strpad('cCa in component environment (mM)');
    LEGEND_ALGEBRAIC(:,4) = strpad('cDAG in component environment (mM)');
    LEGEND_ALGEBRAIC(:,5) = strpad('cIP3 in component environment (mM)');
    LEGEND_CONSTANTS(:,4) = strpad('kappa_R0_PLC in component PLC_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,5) = strpad('kappa_R1_PLC in component PLC_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,6) = strpad('kappa_R2a_PLC in component PLC_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,7) = strpad('kappa_R2b_PLC in component PLC_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,8) = strpad('kappa_R3a_PLC in component PLC_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,9) = strpad('kappa_R3b_PLC in component PLC_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,10) = strpad('kappa_R4_PLC in component PLC_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,11) = strpad('kappa_R5_PLC in component PLC_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,12) = strpad('kappa_R6_PLC in component PLC_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,13) = strpad('kappa_R7_PLC in component PLC_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,14) = strpad('kappa_R8_PLC in component PLC_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,15) = strpad('K_DAG in component PLC_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,16) = strpad('K_PC in component PLC_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,17) = strpad('K_IP3 in component PLC_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,18) = strpad('K_Ino in component PLC_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,19) = strpad('K_PLC in component PLC_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,20) = strpad('K_Gq in component PLC_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,21) = strpad('K_Ca in component PLC_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,22) = strpad('K_Gq_PLC in component PLC_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,23) = strpad('K_Ca_PLC in component PLC_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,24) = strpad('K_Ca_Gq_PLC in component PLC_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,25) = strpad('K_G_GDP in component PLC_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,26) = strpad('K_PIP2 in component PLC_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,27) = strpad('K_CaPLC_PIP2 in component PLC_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,28) = strpad('K_CaGqPLC_PIP2 in component PLC_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,29) = strpad('R in component constants (J_per_K_per_mol)');
    LEGEND_CONSTANTS(:,30) = strpad('T in component constants (kelvin)');
    LEGEND_ALGEBRAIC(:,7) = strpad('mu_DAG in component PLC (J_per_mol)');
    LEGEND_ALGEBRAIC(:,8) = strpad('mu_PC in component PLC (J_per_mol)');
    LEGEND_ALGEBRAIC(:,9) = strpad('mu_IP3 in component PLC (J_per_mol)');
    LEGEND_ALGEBRAIC(:,10) = strpad('mu_Ino in component PLC (J_per_mol)');
    LEGEND_ALGEBRAIC(:,11) = strpad('mu_PLC in component PLC (J_per_mol)');
    LEGEND_ALGEBRAIC(:,12) = strpad('mu_Gq in component PLC (J_per_mol)');
    LEGEND_ALGEBRAIC(:,13) = strpad('mu_Ca in component PLC (J_per_mol)');
    LEGEND_ALGEBRAIC(:,14) = strpad('mu_Gq_PLC in component PLC (J_per_mol)');
    LEGEND_ALGEBRAIC(:,15) = strpad('mu_Ca_PLC in component PLC (J_per_mol)');
    LEGEND_ALGEBRAIC(:,16) = strpad('mu_Ca_Gq_PLC in component PLC (J_per_mol)');
    LEGEND_ALGEBRAIC(:,17) = strpad('mu_G_GDP in component PLC (J_per_mol)');
    LEGEND_ALGEBRAIC(:,18) = strpad('mu_PIP2 in component PLC (J_per_mol)');
    LEGEND_ALGEBRAIC(:,19) = strpad('mu_CaPLC_PIP2 in component PLC (J_per_mol)');
    LEGEND_ALGEBRAIC(:,20) = strpad('mu_CaGqPLC_PIP2 in component PLC (J_per_mol)');
    LEGEND_CONSTANTS(:,31) = strpad('F in component constants (C_per_mol)');
    LEGEND_RATES(:,1) = strpad('d/dt q_DAG in component environment (fmol)');
    LEGEND_RATES(:,2) = strpad('d/dt q_PC in component environment (fmol)');
    LEGEND_RATES(:,3) = strpad('d/dt q_IP3 in component environment (fmol)');
    LEGEND_RATES(:,4) = strpad('d/dt q_Ino in component environment (fmol)');
    LEGEND_RATES(:,5) = strpad('d/dt q_PLC in component environment (fmol)');
    LEGEND_RATES(:,6) = strpad('d/dt q_Gq in component environment (fmol)');
    LEGEND_RATES(:,7) = strpad('d/dt q_Ca in component environment (fmol)');
    LEGEND_RATES(:,8) = strpad('d/dt q_Gq_PLC in component environment (fmol)');
    LEGEND_RATES(:,9) = strpad('d/dt q_Ca_PLC in component environment (fmol)');
    LEGEND_RATES(:,10) = strpad('d/dt q_Ca_Gq_PLC in component environment (fmol)');
    LEGEND_RATES(:,11) = strpad('d/dt q_G_GDP in component environment (fmol)');
    LEGEND_RATES(:,12) = strpad('d/dt q_PIP2 in component environment (fmol)');
    LEGEND_RATES(:,13) = strpad('d/dt q_CaPLC_PIP2 in component environment (fmol)');
    LEGEND_RATES(:,14) = strpad('d/dt q_CaGqPLC_PIP2 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) = 38;
    STATES(:,1) = 0;
    STATES(:,2) = 0;
    STATES(:,3) = 0;
    STATES(:,4) = 0;
    STATES(:,5) = 30.4;
    STATES(:,6) = 38;
    STATES(:,7) = 38;
    STATES(:,8) = 0;
    STATES(:,9) = 0;
    STATES(:,10) = 38;
    STATES(:,11) = 0;
    STATES(:,12) = 380;
    STATES(:,13) = 0;
    STATES(:,14) = 0;
    CONSTANTS(:,2) = 1;
    CONSTANTS(:,3) = 0.01;
    CONSTANTS(:,4) = 0.0700317;
    CONSTANTS(:,5) = 0.178887;
    CONSTANTS(:,6) = 71285.5;
    CONSTANTS(:,7) = 2.73747;
    CONSTANTS(:,8) = 5697.81;
    CONSTANTS(:,9) = 0.00287164;
    CONSTANTS(:,10) = 2.13383;
    CONSTANTS(:,11) = 2.28508;
    CONSTANTS(:,12) = 0.170556;
    CONSTANTS(:,13) = 0.170556;
    CONSTANTS(:,14) = 0.00226839;
    CONSTANTS(:,15) = 0.577328;
    CONSTANTS(:,16) = 0.00384885;
    CONSTANTS(:,17) = 3.76694;
    CONSTANTS(:,18) = 0.00150678;
    CONSTANTS(:,19) = 0.000942826;
    CONSTANTS(:,20) = 0.000141635;
    CONSTANTS(:,21) = 0.000180564;
    CONSTANTS(:,22) = 0.117957;
    CONSTANTS(:,23) = 0.126318;
    CONSTANTS(:,24) = 1.58037;
    CONSTANTS(:,25) = 0.000141635;
    CONSTANTS(:,26) = 8.06835;
    CONSTANTS(:,27) = 18.9051;
    CONSTANTS(:,28) = 938.634;
    CONSTANTS(:,29) = 8.31;
    CONSTANTS(:,30) = 310;
    CONSTANTS(:,31) = 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(:,7) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,15).*STATES(:,1));
    ALGEBRAIC(:,8) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,16).*STATES(:,2));
    ALGEBRAIC(:,21) =  CONSTANTS(:,4).*(exp(ALGEBRAIC(:,7)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,8)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    RATES(:,2) = ALGEBRAIC(:,21);
    ALGEBRAIC(:,9) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,17).*STATES(:,3));
    ALGEBRAIC(:,10) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,18).*STATES(:,4));
    ALGEBRAIC(:,22) =  CONSTANTS(:,5).*(exp(ALGEBRAIC(:,9)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,10)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    RATES(:,4) = ALGEBRAIC(:,22);
    ALGEBRAIC(:,15) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,23).*STATES(:,9));
    ALGEBRAIC(:,18) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,26).*STATES(:,12));
    ALGEBRAIC(:,19) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,27).*STATES(:,13));
    ALGEBRAIC(:,23) =  CONSTANTS(:,6).*(exp((ALGEBRAIC(:,18)+ALGEBRAIC(:,15))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,19)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    ALGEBRAIC(:,24) =  CONSTANTS(:,7).*(exp(ALGEBRAIC(:,19)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp((ALGEBRAIC(:,7)+ALGEBRAIC(:,9)+ALGEBRAIC(:,15))./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    RATES(:,13) = ALGEBRAIC(:,23) - ALGEBRAIC(:,24);
    ALGEBRAIC(:,16) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,24).*STATES(:,10));
    ALGEBRAIC(:,20) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,28).*STATES(:,14));
    ALGEBRAIC(:,25) =  CONSTANTS(:,8).*(exp((ALGEBRAIC(:,18)+ALGEBRAIC(:,16))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,20)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    RATES(:,12) =  - ALGEBRAIC(:,23) - ALGEBRAIC(:,25);
    ALGEBRAIC(:,26) =  CONSTANTS(:,9).*(exp(ALGEBRAIC(:,20)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp((ALGEBRAIC(:,7)+ALGEBRAIC(:,9)+ALGEBRAIC(:,16))./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    RATES(:,1) = (ALGEBRAIC(:,24)+ALGEBRAIC(:,26)) - ALGEBRAIC(:,21);
    RATES(:,3) = (ALGEBRAIC(:,24)+ALGEBRAIC(:,26)) - ALGEBRAIC(:,22);
    RATES(:,14) = ALGEBRAIC(:,25) - ALGEBRAIC(:,26);
    ALGEBRAIC(:,11) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,19).*STATES(:,5));
    ALGEBRAIC(:,13) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,21).*STATES(:,7));
    ALGEBRAIC(:,27) =  CONSTANTS(:,10).*(exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,13))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,15)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    ALGEBRAIC(:,12) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,20).*STATES(:,6));
    ALGEBRAIC(:,14) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,22).*STATES(:,8));
    ALGEBRAIC(:,28) =  CONSTANTS(:,11).*(exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,12))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,14)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    RATES(:,5) =  - ALGEBRAIC(:,27) - ALGEBRAIC(:,28);
    ALGEBRAIC(:,29) =  CONSTANTS(:,12).*(exp((ALGEBRAIC(:,14)+ALGEBRAIC(:,13))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,16)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    RATES(:,7) =  - ALGEBRAIC(:,27) - ALGEBRAIC(:,29);
    RATES(:,8) = ALGEBRAIC(:,28) - ALGEBRAIC(:,29);
    ALGEBRAIC(:,30) =  CONSTANTS(:,13).*(exp(ALGEBRAIC(:,16)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp((ALGEBRAIC(:,12)+ALGEBRAIC(:,15))./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    ALGEBRAIC(:,1) = VOI -  floor(VOI./CONSTANTS(:,2)).*CONSTANTS(:,2);
    ALGEBRAIC(:,6) = piecewise({ALGEBRAIC(:,1)>=0.300000&ALGEBRAIC(:,1)<=0.300000+CONSTANTS(:,3),  0.00000.*100.000 }, 0.00000);
    RATES(:,6) =  - ALGEBRAIC(:,28)+ALGEBRAIC(:,30)+ALGEBRAIC(:,6);
    ALGEBRAIC(:,17) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,25).*STATES(:,11));
    ALGEBRAIC(:,31) =  CONSTANTS(:,14).*(exp(ALGEBRAIC(:,16)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,15))./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    RATES(:,9) =  - ALGEBRAIC(:,23)+ALGEBRAIC(:,24)+ALGEBRAIC(:,27)+ALGEBRAIC(:,30)+ALGEBRAIC(:,31);
    RATES(:,10) = (( - ALGEBRAIC(:,25)+ALGEBRAIC(:,26)+ALGEBRAIC(:,29)) - ALGEBRAIC(:,30)) - ALGEBRAIC(:,31);
    RATES(:,11) = ALGEBRAIC(:,31);
   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(:,7) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,15).*STATES(:,1));
    ALGEBRAIC(:,8) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,16).*STATES(:,2));
    ALGEBRAIC(:,21) =  CONSTANTS(:,4).*(exp(ALGEBRAIC(:,7)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,8)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    ALGEBRAIC(:,9) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,17).*STATES(:,3));
    ALGEBRAIC(:,10) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,18).*STATES(:,4));
    ALGEBRAIC(:,22) =  CONSTANTS(:,5).*(exp(ALGEBRAIC(:,9)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,10)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    ALGEBRAIC(:,15) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,23).*STATES(:,9));
    ALGEBRAIC(:,18) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,26).*STATES(:,12));
    ALGEBRAIC(:,19) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,27).*STATES(:,13));
    ALGEBRAIC(:,23) =  CONSTANTS(:,6).*(exp((ALGEBRAIC(:,18)+ALGEBRAIC(:,15))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,19)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    ALGEBRAIC(:,24) =  CONSTANTS(:,7).*(exp(ALGEBRAIC(:,19)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp((ALGEBRAIC(:,7)+ALGEBRAIC(:,9)+ALGEBRAIC(:,15))./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    ALGEBRAIC(:,16) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,24).*STATES(:,10));
    ALGEBRAIC(:,20) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,28).*STATES(:,14));
    ALGEBRAIC(:,25) =  CONSTANTS(:,8).*(exp((ALGEBRAIC(:,18)+ALGEBRAIC(:,16))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,20)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    ALGEBRAIC(:,26) =  CONSTANTS(:,9).*(exp(ALGEBRAIC(:,20)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp((ALGEBRAIC(:,7)+ALGEBRAIC(:,9)+ALGEBRAIC(:,16))./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    ALGEBRAIC(:,11) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,19).*STATES(:,5));
    ALGEBRAIC(:,13) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,21).*STATES(:,7));
    ALGEBRAIC(:,27) =  CONSTANTS(:,10).*(exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,13))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,15)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    ALGEBRAIC(:,12) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,20).*STATES(:,6));
    ALGEBRAIC(:,14) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,22).*STATES(:,8));
    ALGEBRAIC(:,28) =  CONSTANTS(:,11).*(exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,12))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,14)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    ALGEBRAIC(:,29) =  CONSTANTS(:,12).*(exp((ALGEBRAIC(:,14)+ALGEBRAIC(:,13))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,16)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    ALGEBRAIC(:,30) =  CONSTANTS(:,13).*(exp(ALGEBRAIC(:,16)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp((ALGEBRAIC(:,12)+ALGEBRAIC(:,15))./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    ALGEBRAIC(:,1) = VOI -  floor(VOI./CONSTANTS(:,2)).*CONSTANTS(:,2);
    ALGEBRAIC(:,6) = piecewise({ALGEBRAIC(:,1)>=0.300000&ALGEBRAIC(:,1)<=0.300000+CONSTANTS(:,3),  0.00000.*100.000 }, 0.00000);
    ALGEBRAIC(:,17) =  CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,25).*STATES(:,11));
    ALGEBRAIC(:,31) =  CONSTANTS(:,14).*(exp(ALGEBRAIC(:,16)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,15))./( CONSTANTS(:,29).*CONSTANTS(:,30))));
    ALGEBRAIC(:,2) = STATES(:,6)./CONSTANTS(:,1);
    ALGEBRAIC(:,3) = STATES(:,7)./CONSTANTS(:,1);
    ALGEBRAIC(:,4) = STATES(:,1)./CONSTANTS(:,1);
    ALGEBRAIC(:,5) = STATES(:,3)./CONSTANTS(:,1);
end

% Compute result of a piecewise function
function x = piecewise(cases, default)
    set = [0];
    for i = 1:2:length(cases)
        if (length(cases{i+1}) == 1)
            x(cases{i} & ~set,:) = cases{i+1};
        else
            x(cases{i} & ~set,:) = cases{i+1}(cases{i} & ~set);
        end
        set = set | cases{i};
        if(set), break, end
    end
    if (length(default) == 1)
        x(~set,:) = default;
    else
        x(~set,:) = default(~set);
    end
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