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 11 entries in each of the rate and state variable arrays.
% There are a total of 24 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_STATES(:,1) = strpad('q_Ca_o in component environment (fmol)');
    LEGEND_STATES(:,2) = strpad('q_Ca_i in component environment (fmol)');
    LEGEND_STATES(:,3) = strpad('q_Na_o in component environment (fmol)');
    LEGEND_STATES(:,4) = strpad('q_Na_i in component environment (fmol)');
    LEGEND_STATES(:,5) = strpad('q_P1_NCX in component environment (fmol)');
    LEGEND_STATES(:,6) = strpad('q_P2_NCX in component environment (fmol)');
    LEGEND_STATES(:,7) = strpad('q_P3_NCX in component environment (fmol)');
    LEGEND_STATES(:,8) = strpad('q_P4_NCX in component environment (fmol)');
    LEGEND_STATES(:,9) = strpad('q_P5_NCX in component environment (fmol)');
    LEGEND_STATES(:,10) = strpad('q_P6_NCX in component environment (fmol)');
    LEGEND_ALGEBRAIC(:,30) = strpad('v_Ca_o_NCX in component NCX (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,23) = strpad('v_Ca_i_NCX in component NCX (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,34) = strpad('v_Na_o_NCX in component NCX (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,20) = strpad('v_Na_i_NCX in component NCX (fmol_per_sec)');
    LEGEND_STATES(:,11) = strpad('q_mem in component environment (fC)');
    LEGEND_ALGEBRAIC(:,38) = strpad('I_mem_NCX in component NCX (fA)');
    LEGEND_CONSTANTS(:,5) = strpad('kappa_1_NCX in component NCX_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,6) = strpad('kappa_2_NCX in component NCX_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,7) = strpad('kappa_3_NCX in component NCX_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,8) = strpad('kappa_4_NCX in component NCX_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,9) = strpad('kappa_5_NCX in component NCX_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,10) = strpad('kappa_6_NCX in component NCX_parameters (fmol_per_sec)');
    LEGEND_CONSTANTS(:,11) = strpad('K_1_NCX in component NCX_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,12) = strpad('K_2_NCX in component NCX_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,13) = strpad('K_3_NCX in component NCX_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,14) = strpad('K_4_NCX in component NCX_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,15) = strpad('K_5_NCX in component NCX_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,16) = strpad('K_6_NCX in component NCX_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,17) = strpad('K_Na_i in component NCX_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,18) = strpad('K_Ca_i in component NCX_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,19) = strpad('K_Na_o in component NCX_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,20) = strpad('K_Ca_o in component NCX_parameters (per_fmol)');
    LEGEND_CONSTANTS(:,21) = strpad('nNa_o_NCX in component NCX_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,22) = strpad('nNa_i_NCX in component NCX_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,23) = strpad('zf_NCX in component NCX_parameters (dimensionless)');
    LEGEND_CONSTANTS(:,24) = strpad('zr_NCX in component NCX_parameters (dimensionless)');
    LEGEND_ALGEBRAIC(:,2) = strpad('mu_Ca_o in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,3) = strpad('mu_Ca_i in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,4) = strpad('mu_Na_o in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,5) = strpad('mu_Na_i in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,6) = strpad('mu_P1_NCX in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,7) = strpad('mu_P2_NCX in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,8) = strpad('mu_P3_NCX in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,9) = strpad('mu_P4_NCX in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,10) = strpad('mu_P5_NCX in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,11) = strpad('mu_P6_NCX in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,39) = strpad('v_P1_NCX in component NCX (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,24) = strpad('v_P2_NCX in component NCX (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,27) = strpad('v_P3_NCX in component NCX (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,31) = strpad('v_P4_NCX in component NCX (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,36) = strpad('v_P5_NCX in component NCX (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,40) = strpad('v_P6_NCX in component NCX (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,12) = strpad('Af_r1 in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,18) = strpad('Ar_r1 in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,19) = strpad('v_r1 in component NCX (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,13) = strpad('Af_r2 in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,21) = strpad('Ar_r2 in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,22) = strpad('v_r2 in component NCX (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,14) = strpad('Af_r3 in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,25) = strpad('Ar_r3 in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,26) = strpad('v_r3 in component NCX (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,15) = strpad('Af_r4 in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,28) = strpad('Ar_r4 in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,29) = strpad('v_r4 in component NCX (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,16) = strpad('Af_r5 in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,32) = strpad('Ar_r5 in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,33) = strpad('v_r5 in component NCX (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,17) = strpad('Af_r6 in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,35) = strpad('Ar_r6 in component NCX (J_per_mol)');
    LEGEND_ALGEBRAIC(:,37) = strpad('v_r6 in component NCX (fmol_per_sec)');
    LEGEND_ALGEBRAIC(:,1) = strpad('V_mem in component NCX (volt)');
    LEGEND_RATES(:,1) = strpad('d/dt q_Ca_o in component environment (fmol)');
    LEGEND_RATES(:,2) = strpad('d/dt q_Ca_i in component environment (fmol)');
    LEGEND_RATES(:,3) = strpad('d/dt q_Na_o in component environment (fmol)');
    LEGEND_RATES(:,4) = strpad('d/dt q_Na_i in component environment (fmol)');
    LEGEND_RATES(:,11) = strpad('d/dt q_mem in component environment (fC)');
    LEGEND_RATES(:,5) = strpad('d/dt q_P1_NCX in component environment (fmol)');
    LEGEND_RATES(:,6) = strpad('d/dt q_P2_NCX in component environment (fmol)');
    LEGEND_RATES(:,7) = strpad('d/dt q_P3_NCX in component environment (fmol)');
    LEGEND_RATES(:,8) = strpad('d/dt q_P4_NCX in component environment (fmol)');
    LEGEND_RATES(:,9) = strpad('d/dt q_P5_NCX in component environment (fmol)');
    LEGEND_RATES(:,10) = strpad('d/dt q_P6_NCX 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;
    STATES(:,1) = 9.3276;
    STATES(:,2) = 0.00456;
    STATES(:,3) = 725.48;
    STATES(:,4) = 380;
    STATES(:,5) = 0.000103509;
    STATES(:,6) = 0.000103509;
    STATES(:,7) = 0.000103509;
    STATES(:,8) = 0.000103509;
    STATES(:,9) = 0.000103509;
    STATES(:,10) = 0.000103509;
    STATES(:,11) = -13039;
    CONSTANTS(:,5) = 417309;
    CONSTANTS(:,6) = 1.39522e+07;
    CONSTANTS(:,7) = 472.755;
    CONSTANTS(:,8) = 1.39522e+07;
    CONSTANTS(:,9) = 417309;
    CONSTANTS(:,10) = 0.370405;
    CONSTANTS(:,11) = 2.93394e+08;
    CONSTANTS(:,12) = 14.1045;
    CONSTANTS(:,13) = 263471;
    CONSTANTS(:,14) = 2.39875e+06;
    CONSTANTS(:,15) = 2373.73;
    CONSTANTS(:,16) = 956.214;
    CONSTANTS(:,17) = 0.0137751;
    CONSTANTS(:,18) = 10.2446;
    CONSTANTS(:,19) = 0.470129;
    CONSTANTS(:,20) = 7572.91;
    CONSTANTS(:,21) = 3;
    CONSTANTS(:,22) = 3;
    CONSTANTS(:,23) = -0.55679;
    CONSTANTS(:,24) = 0.44321;
    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(:,6) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,11).*STATES(:,5));
    ALGEBRAIC(:,12) = ALGEBRAIC(:,6);
    ALGEBRAIC(:,5) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,17).*STATES(:,4));
    ALGEBRAIC(:,7) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,12).*STATES(:,6));
    ALGEBRAIC(:,18) =  CONSTANTS(:,22).*ALGEBRAIC(:,5)+ALGEBRAIC(:,7);
    ALGEBRAIC(:,19) =  CONSTANTS(:,5).*(exp(ALGEBRAIC(:,12)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,18)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,20) =  CONSTANTS(:,22).*ALGEBRAIC(:,19);
    RATES(:,4) = ALGEBRAIC(:,20);
    ALGEBRAIC(:,3) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,18).*STATES(:,2));
    ALGEBRAIC(:,13) = ALGEBRAIC(:,7)+ALGEBRAIC(:,3);
    ALGEBRAIC(:,8) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,13).*STATES(:,7));
    ALGEBRAIC(:,21) = ALGEBRAIC(:,8);
    ALGEBRAIC(:,22) =  CONSTANTS(:,6).*(exp(ALGEBRAIC(:,13)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,21)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,23) =  - ALGEBRAIC(:,22);
    RATES(:,2) = ALGEBRAIC(:,23);
    ALGEBRAIC(:,24) = ALGEBRAIC(:,19) - ALGEBRAIC(:,22);
    RATES(:,6) = ALGEBRAIC(:,24);
    ALGEBRAIC(:,14) = ALGEBRAIC(:,8);
    ALGEBRAIC(:,9) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,14).*STATES(:,8));
    ALGEBRAIC(:,25) = ALGEBRAIC(:,9);
    ALGEBRAIC(:,26) =  CONSTANTS(:,7).*(exp(ALGEBRAIC(:,14)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,25)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,27) = ALGEBRAIC(:,22) - ALGEBRAIC(:,26);
    RATES(:,7) = ALGEBRAIC(:,27);
    ALGEBRAIC(:,15) = ALGEBRAIC(:,9);
    ALGEBRAIC(:,2) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,20).*STATES(:,1));
    ALGEBRAIC(:,10) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,15).*STATES(:,9));
    ALGEBRAIC(:,28) = ALGEBRAIC(:,10)+ALGEBRAIC(:,2);
    ALGEBRAIC(:,29) =  CONSTANTS(:,8).*(exp(ALGEBRAIC(:,15)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,28)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,30) = ALGEBRAIC(:,29);
    RATES(:,1) = ALGEBRAIC(:,30);
    ALGEBRAIC(:,31) =  - ALGEBRAIC(:,29)+ALGEBRAIC(:,26);
    RATES(:,8) = ALGEBRAIC(:,31);
    ALGEBRAIC(:,4) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,19).*STATES(:,3));
    ALGEBRAIC(:,16) = ALGEBRAIC(:,10)+ CONSTANTS(:,21).*ALGEBRAIC(:,4);
    ALGEBRAIC(:,11) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,16).*STATES(:,10));
    ALGEBRAIC(:,32) = ALGEBRAIC(:,11);
    ALGEBRAIC(:,33) =  CONSTANTS(:,9).*(exp(ALGEBRAIC(:,16)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,32)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,34) =   - CONSTANTS(:,21).*ALGEBRAIC(:,33);
    RATES(:,3) = ALGEBRAIC(:,34);
    ALGEBRAIC(:,36) =  - ALGEBRAIC(:,33)+ALGEBRAIC(:,29);
    RATES(:,9) = ALGEBRAIC(:,36);
    ALGEBRAIC(:,1) = STATES(:,11)./CONSTANTS(:,4);
    ALGEBRAIC(:,17) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,16).*STATES(:,10))+ CONSTANTS(:,23).*CONSTANTS(:,3).*ALGEBRAIC(:,1);
    ALGEBRAIC(:,35) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,11).*STATES(:,5))+ CONSTANTS(:,24).*CONSTANTS(:,3).*ALGEBRAIC(:,1);
    ALGEBRAIC(:,37) =  CONSTANTS(:,10).*(exp(ALGEBRAIC(:,17)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,35)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,38) =  CONSTANTS(:,3).*(  - CONSTANTS(:,23).*ALGEBRAIC(:,37)+ CONSTANTS(:,24).*ALGEBRAIC(:,37));
    RATES(:,11) = ALGEBRAIC(:,38);
    ALGEBRAIC(:,39) = ALGEBRAIC(:,37) - ALGEBRAIC(:,19);
    RATES(:,5) = ALGEBRAIC(:,39);
    ALGEBRAIC(:,40) =  - ALGEBRAIC(:,37)+ALGEBRAIC(:,33);
    RATES(:,10) = 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(:,6) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,11).*STATES(:,5));
    ALGEBRAIC(:,12) = ALGEBRAIC(:,6);
    ALGEBRAIC(:,5) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,17).*STATES(:,4));
    ALGEBRAIC(:,7) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,12).*STATES(:,6));
    ALGEBRAIC(:,18) =  CONSTANTS(:,22).*ALGEBRAIC(:,5)+ALGEBRAIC(:,7);
    ALGEBRAIC(:,19) =  CONSTANTS(:,5).*(exp(ALGEBRAIC(:,12)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,18)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,20) =  CONSTANTS(:,22).*ALGEBRAIC(:,19);
    ALGEBRAIC(:,3) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,18).*STATES(:,2));
    ALGEBRAIC(:,13) = ALGEBRAIC(:,7)+ALGEBRAIC(:,3);
    ALGEBRAIC(:,8) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,13).*STATES(:,7));
    ALGEBRAIC(:,21) = ALGEBRAIC(:,8);
    ALGEBRAIC(:,22) =  CONSTANTS(:,6).*(exp(ALGEBRAIC(:,13)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,21)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,23) =  - ALGEBRAIC(:,22);
    ALGEBRAIC(:,24) = ALGEBRAIC(:,19) - ALGEBRAIC(:,22);
    ALGEBRAIC(:,14) = ALGEBRAIC(:,8);
    ALGEBRAIC(:,9) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,14).*STATES(:,8));
    ALGEBRAIC(:,25) = ALGEBRAIC(:,9);
    ALGEBRAIC(:,26) =  CONSTANTS(:,7).*(exp(ALGEBRAIC(:,14)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,25)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,27) = ALGEBRAIC(:,22) - ALGEBRAIC(:,26);
    ALGEBRAIC(:,15) = ALGEBRAIC(:,9);
    ALGEBRAIC(:,2) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,20).*STATES(:,1));
    ALGEBRAIC(:,10) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,15).*STATES(:,9));
    ALGEBRAIC(:,28) = ALGEBRAIC(:,10)+ALGEBRAIC(:,2);
    ALGEBRAIC(:,29) =  CONSTANTS(:,8).*(exp(ALGEBRAIC(:,15)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,28)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,30) = ALGEBRAIC(:,29);
    ALGEBRAIC(:,31) =  - ALGEBRAIC(:,29)+ALGEBRAIC(:,26);
    ALGEBRAIC(:,4) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,19).*STATES(:,3));
    ALGEBRAIC(:,16) = ALGEBRAIC(:,10)+ CONSTANTS(:,21).*ALGEBRAIC(:,4);
    ALGEBRAIC(:,11) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,16).*STATES(:,10));
    ALGEBRAIC(:,32) = ALGEBRAIC(:,11);
    ALGEBRAIC(:,33) =  CONSTANTS(:,9).*(exp(ALGEBRAIC(:,16)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,32)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,34) =   - CONSTANTS(:,21).*ALGEBRAIC(:,33);
    ALGEBRAIC(:,36) =  - ALGEBRAIC(:,33)+ALGEBRAIC(:,29);
    ALGEBRAIC(:,1) = STATES(:,11)./CONSTANTS(:,4);
    ALGEBRAIC(:,17) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,16).*STATES(:,10))+ CONSTANTS(:,23).*CONSTANTS(:,3).*ALGEBRAIC(:,1);
    ALGEBRAIC(:,35) =  CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,11).*STATES(:,5))+ CONSTANTS(:,24).*CONSTANTS(:,3).*ALGEBRAIC(:,1);
    ALGEBRAIC(:,37) =  CONSTANTS(:,10).*(exp(ALGEBRAIC(:,17)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,35)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
    ALGEBRAIC(:,38) =  CONSTANTS(:,3).*(  - CONSTANTS(:,23).*ALGEBRAIC(:,37)+ CONSTANTS(:,24).*ALGEBRAIC(:,37));
    ALGEBRAIC(:,39) = ALGEBRAIC(:,37) - ALGEBRAIC(:,19);
    ALGEBRAIC(:,40) =  - ALGEBRAIC(:,37)+ALGEBRAIC(:,33);
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