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 16 entries in each of the rate and state variable arrays.
% There are a total of 72 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 (millisecond)');
    LEGEND_STATES(:,1) = strpad('V in component membrane (millivolt)');
    LEGEND_CONSTANTS(:,1) = strpad('C in component membrane (uF)');
    LEGEND_ALGEBRAIC(:,1) = strpad('i_Na in component sodium_current (nanoA)');
    LEGEND_ALGEBRAIC(:,16) = strpad('i_NaP in component persistent_sodium_current (nanoA)');
    LEGEND_ALGEBRAIC(:,23) = strpad('i_K in component delayed_rectifier_current (nanoA)');
    LEGEND_ALGEBRAIC(:,24) = strpad('i_leak in component leak_current (nanoA)');
    LEGEND_ALGEBRAIC(:,25) = strpad('i_T in component LVA_calcium_current (nanoA)');
    LEGEND_ALGEBRAIC(:,26) = strpad('i_N in component N_HVA_calcium_current (nanoA)');
    LEGEND_ALGEBRAIC(:,27) = strpad('i_P in component P_HVA_calcium_current (nanoA)');
    LEGEND_ALGEBRAIC(:,28) = strpad('i_SK in component calcium_dependent_potassium_current (nanoA)');
    LEGEND_ALGEBRAIC(:,29) = strpad('i_A in component fast_transient_potassium_current (nanoA)');
    LEGEND_ALGEBRAIC(:,30) = strpad('i_H in component hyperpolarization_activated_current (nanoA)');
    LEGEND_ALGEBRAIC(:,31) = strpad('i_app in component stimulus_protocol (nanoA)');
    LEGEND_CONSTANTS(:,2) = strpad('g_Na in component sodium_current (uS)');
    LEGEND_CONSTANTS(:,3) = strpad('E_Na in component sodium_current (millivolt)');
    LEGEND_STATES(:,2) = strpad('m in component sodium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,3) = strpad('h in component sodium_current_h_gate (dimensionless)');
    LEGEND_CONSTANTS(:,4) = strpad('theta_h in component sodium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,5) = strpad('sigma_h in component sodium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,6) = strpad('theta_1 in component sodium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,7) = strpad('sigma_1 in component sodium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,8) = strpad('sigma_2 in component sodium_current_h_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,2) = strpad('tau_h in component sodium_current_h_gate (millisecond)');
    LEGEND_ALGEBRAIC(:,17) = strpad('h_infinity in component sodium_current_h_gate (dimensionless)');
    LEGEND_CONSTANTS(:,9) = strpad('theta_m in component sodium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,10) = strpad('sigma_m in component sodium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,11) = strpad('tau_m in component sodium_current_m_gate (millisecond)');
    LEGEND_ALGEBRAIC(:,3) = strpad('m_infinity in component sodium_current_m_gate (dimensionless)');
    LEGEND_CONSTANTS(:,12) = strpad('g_NaP in component persistent_sodium_current (uS)');
    LEGEND_STATES(:,4) = strpad('m in component persistent_sodium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,5) = strpad('h in component persistent_sodium_current_h_gate (dimensionless)');
    LEGEND_CONSTANTS(:,13) = strpad('theta_h in component persistent_sodium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,14) = strpad('sigma_h in component persistent_sodium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,15) = strpad('tau_h in component persistent_sodium_current_h_gate (millisecond)');
    LEGEND_ALGEBRAIC(:,4) = strpad('h_infinity in component persistent_sodium_current_h_gate (dimensionless)');
    LEGEND_CONSTANTS(:,16) = strpad('theta_m in component persistent_sodium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,17) = strpad('sigma_m in component persistent_sodium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,18) = strpad('tau_m in component persistent_sodium_current_m_gate (millisecond)');
    LEGEND_ALGEBRAIC(:,5) = strpad('m_infinity in component persistent_sodium_current_m_gate (dimensionless)');
    LEGEND_CONSTANTS(:,19) = strpad('g_K in component delayed_rectifier_current (uS)');
    LEGEND_CONSTANTS(:,20) = strpad('E_K in component delayed_rectifier_current (millivolt)');
    LEGEND_STATES(:,6) = strpad('n in component delayed_rectifier_current_n_gate (dimensionless)');
    LEGEND_CONSTANTS(:,21) = strpad('theta_n in component delayed_rectifier_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,22) = strpad('sigma_n in component delayed_rectifier_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,23) = strpad('theta_1 in component delayed_rectifier_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,24) = strpad('sigma_1 in component delayed_rectifier_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,25) = strpad('sigma_2 in component delayed_rectifier_current_n_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,6) = strpad('tau_n in component delayed_rectifier_current_n_gate (millisecond)');
    LEGEND_ALGEBRAIC(:,18) = strpad('n_infinity in component delayed_rectifier_current_n_gate (dimensionless)');
    LEGEND_CONSTANTS(:,26) = strpad('g_leak in component leak_current (uS)');
    LEGEND_CONSTANTS(:,27) = strpad('E_leak in component leak_current (millivolt)');
    LEGEND_CONSTANTS(:,28) = strpad('g_T in component LVA_calcium_current (uS)');
    LEGEND_CONSTANTS(:,29) = strpad('E_Ca in component LVA_calcium_current (millivolt)');
    LEGEND_STATES(:,7) = strpad('m in component LVA_calcium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,8) = strpad('h in component LVA_calcium_current_h_gate (dimensionless)');
    LEGEND_CONSTANTS(:,30) = strpad('theta_m in component LVA_calcium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,31) = strpad('sigma_m in component LVA_calcium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,32) = strpad('theta_1 in component LVA_calcium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,33) = strpad('sigma_1 in component LVA_calcium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,34) = strpad('sigma_2 in component LVA_calcium_current_m_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,7) = strpad('tau_m in component LVA_calcium_current_m_gate (millisecond)');
    LEGEND_ALGEBRAIC(:,19) = strpad('m_infinity in component LVA_calcium_current_m_gate (dimensionless)');
    LEGEND_CONSTANTS(:,35) = strpad('theta_h in component LVA_calcium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,36) = strpad('sigma_h in component LVA_calcium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,37) = strpad('theta_1 in component LVA_calcium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,38) = strpad('sigma_1 in component LVA_calcium_current_h_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,8) = strpad('tau_h in component LVA_calcium_current_h_gate (millisecond)');
    LEGEND_ALGEBRAIC(:,20) = strpad('h_infinity in component LVA_calcium_current_h_gate (dimensionless)');
    LEGEND_CONSTANTS(:,39) = strpad('g_N in component N_HVA_calcium_current (uS)');
    LEGEND_STATES(:,9) = strpad('m in component N_HVA_calcium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,10) = strpad('h in component N_HVA_calcium_current_h_gate (dimensionless)');
    LEGEND_CONSTANTS(:,40) = strpad('theta_m in component N_HVA_calcium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,41) = strpad('sigma_m in component N_HVA_calcium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,42) = strpad('tau_m in component N_HVA_calcium_current_m_gate (millisecond)');
    LEGEND_ALGEBRAIC(:,9) = strpad('m_infinity in component N_HVA_calcium_current_m_gate (dimensionless)');
    LEGEND_CONSTANTS(:,43) = strpad('theta_h in component N_HVA_calcium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,44) = strpad('sigma_h in component N_HVA_calcium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,45) = strpad('tau_h in component N_HVA_calcium_current_h_gate (millisecond)');
    LEGEND_ALGEBRAIC(:,10) = strpad('h_infinity in component N_HVA_calcium_current_h_gate (dimensionless)');
    LEGEND_CONSTANTS(:,46) = strpad('g_P in component P_HVA_calcium_current (uS)');
    LEGEND_STATES(:,11) = strpad('m in component P_HVA_calcium_current_m_gate (dimensionless)');
    LEGEND_CONSTANTS(:,47) = strpad('theta_m in component P_HVA_calcium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,48) = strpad('sigma_m in component P_HVA_calcium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,49) = strpad('tau_m in component P_HVA_calcium_current_m_gate (millisecond)');
    LEGEND_ALGEBRAIC(:,11) = strpad('m_infinity in component P_HVA_calcium_current_m_gate (dimensionless)');
    LEGEND_CONSTANTS(:,50) = strpad('g_SK in component calcium_dependent_potassium_current (uS)');
    LEGEND_STATES(:,12) = strpad('z in component calcium_dependent_potassium_current_z_gate (dimensionless)');
    LEGEND_CONSTANTS(:,51) = strpad('K1 in component calcium_dependent_potassium_current_z_gate (uM_per_nanocoulomb)');
    LEGEND_CONSTANTS(:,52) = strpad('K2 in component calcium_dependent_potassium_current_z_gate (per_ms)');
    LEGEND_STATES(:,13) = strpad('Ca_conc in component calcium_dependent_potassium_current_z_gate (uM)');
    LEGEND_CONSTANTS(:,53) = strpad('tau_z in component calcium_dependent_potassium_current_z_gate (millisecond)');
    LEGEND_ALGEBRAIC(:,12) = strpad('z_infinity in component calcium_dependent_potassium_current_z_gate (dimensionless)');
    LEGEND_CONSTANTS(:,54) = strpad('g_A in component fast_transient_potassium_current (uS)');
    LEGEND_STATES(:,14) = strpad('m in component fast_transient_potassium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,15) = strpad('h in component fast_transient_potassium_current_h_gate (dimensionless)');
    LEGEND_CONSTANTS(:,55) = strpad('theta_m in component fast_transient_potassium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,56) = strpad('sigma_m in component fast_transient_potassium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,57) = strpad('theta_1 in component fast_transient_potassium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,58) = strpad('theta_2 in component fast_transient_potassium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,59) = strpad('sigma_1 in component fast_transient_potassium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,60) = strpad('sigma_2 in component fast_transient_potassium_current_m_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,13) = strpad('tau_m in component fast_transient_potassium_current_m_gate (millisecond)');
    LEGEND_ALGEBRAIC(:,21) = strpad('m_infinity in component fast_transient_potassium_current_m_gate (dimensionless)');
    LEGEND_CONSTANTS(:,61) = strpad('theta_h in component fast_transient_potassium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,62) = strpad('sigma_h in component fast_transient_potassium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,63) = strpad('tau_h in component fast_transient_potassium_current_h_gate (millisecond)');
    LEGEND_ALGEBRAIC(:,14) = strpad('h_infinity in component fast_transient_potassium_current_h_gate (dimensionless)');
    LEGEND_CONSTANTS(:,64) = strpad('g_H in component hyperpolarization_activated_current (uS)');
    LEGEND_CONSTANTS(:,65) = strpad('E_H in component hyperpolarization_activated_current (millivolt)');
    LEGEND_STATES(:,16) = strpad('m in component hyperpolarization_activated_current_m_gate (dimensionless)');
    LEGEND_CONSTANTS(:,66) = strpad('theta_m in component hyperpolarization_activated_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,67) = strpad('sigma_m in component hyperpolarization_activated_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,68) = strpad('theta_1 in component hyperpolarization_activated_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,69) = strpad('sigma_1 in component hyperpolarization_activated_current_m_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,15) = strpad('tau_m in component hyperpolarization_activated_current_m_gate (millisecond)');
    LEGEND_ALGEBRAIC(:,22) = strpad('m_infinity in component hyperpolarization_activated_current_m_gate (dimensionless)');
    LEGEND_CONSTANTS(:,70) = strpad('i_stimStart in component stimulus_protocol (millisecond)');
    LEGEND_CONSTANTS(:,71) = strpad('i_stimEnd in component stimulus_protocol (millisecond)');
    LEGEND_CONSTANTS(:,72) = strpad('i_stimAmplitude in component stimulus_protocol (nanoA)');
    LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)');
    LEGEND_RATES(:,3) = strpad('d/dt h in component sodium_current_h_gate (dimensionless)');
    LEGEND_RATES(:,2) = strpad('d/dt m in component sodium_current_m_gate (dimensionless)');
    LEGEND_RATES(:,5) = strpad('d/dt h in component persistent_sodium_current_h_gate (dimensionless)');
    LEGEND_RATES(:,4) = strpad('d/dt m in component persistent_sodium_current_m_gate (dimensionless)');
    LEGEND_RATES(:,6) = strpad('d/dt n in component delayed_rectifier_current_n_gate (dimensionless)');
    LEGEND_RATES(:,7) = strpad('d/dt m in component LVA_calcium_current_m_gate (dimensionless)');
    LEGEND_RATES(:,8) = strpad('d/dt h in component LVA_calcium_current_h_gate (dimensionless)');
    LEGEND_RATES(:,9) = strpad('d/dt m in component N_HVA_calcium_current_m_gate (dimensionless)');
    LEGEND_RATES(:,10) = strpad('d/dt h in component N_HVA_calcium_current_h_gate (dimensionless)');
    LEGEND_RATES(:,11) = strpad('d/dt m in component P_HVA_calcium_current_m_gate (dimensionless)');
    LEGEND_RATES(:,13) = strpad('d/dt Ca_conc in component calcium_dependent_potassium_current_z_gate (uM)');
    LEGEND_RATES(:,12) = strpad('d/dt z in component calcium_dependent_potassium_current_z_gate (dimensionless)');
    LEGEND_RATES(:,14) = strpad('d/dt m in component fast_transient_potassium_current_m_gate (dimensionless)');
    LEGEND_RATES(:,15) = strpad('d/dt h in component fast_transient_potassium_current_h_gate (dimensionless)');
    LEGEND_RATES(:,16) = strpad('d/dt m in component hyperpolarization_activated_current_m_gate (dimensionless)');
    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) = -71.847;
    CONSTANTS(:,1) = 0.04;
    CONSTANTS(:,2) = 0.7;
    CONSTANTS(:,3) = 60;
    STATES(:,2) = 0.015;
    STATES(:,3) = 0.981;
    CONSTANTS(:,4) = 44.1;
    CONSTANTS(:,5) = 7;
    CONSTANTS(:,6) = 35;
    CONSTANTS(:,7) = 4;
    CONSTANTS(:,8) = 25;
    CONSTANTS(:,9) = 36;
    CONSTANTS(:,10) = 8.5;
    CONSTANTS(:,11) = 0.1;
    CONSTANTS(:,12) = 0.05;
    STATES(:,4) = 0.002;
    STATES(:,5) = 0.797;
    CONSTANTS(:,13) = 65;
    CONSTANTS(:,14) = 5;
    CONSTANTS(:,15) = 150;
    CONSTANTS(:,16) = 47.1;
    CONSTANTS(:,17) = 4.1;
    CONSTANTS(:,18) = 0.1;
    CONSTANTS(:,19) = 1.3;
    CONSTANTS(:,20) = -80;
    STATES(:,6) = 0.158;
    CONSTANTS(:,21) = 30;
    CONSTANTS(:,22) = 25;
    CONSTANTS(:,23) = 30;
    CONSTANTS(:,24) = 40;
    CONSTANTS(:,25) = 50;
    CONSTANTS(:,26) = 0.005;
    CONSTANTS(:,27) = -50;
    CONSTANTS(:,28) = 0.1;
    CONSTANTS(:,29) = 40;
    STATES(:,7) = 0.001;
    STATES(:,8) = 0.562;
    CONSTANTS(:,30) = 38;
    CONSTANTS(:,31) = 5;
    CONSTANTS(:,32) = 28;
    CONSTANTS(:,33) = 25;
    CONSTANTS(:,34) = 70;
    CONSTANTS(:,35) = 70.1;
    CONSTANTS(:,36) = 7;
    CONSTANTS(:,37) = 70;
    CONSTANTS(:,38) = 65;
    CONSTANTS(:,39) = 0.05;
    STATES(:,9) = 0.001;
    STATES(:,10) = 0.649;
    CONSTANTS(:,40) = 30;
    CONSTANTS(:,41) = 6;
    CONSTANTS(:,42) = 5;
    CONSTANTS(:,43) = 70;
    CONSTANTS(:,44) = 3;
    CONSTANTS(:,45) = 25;
    CONSTANTS(:,46) = 0.05;
    STATES(:,11) = 0;
    CONSTANTS(:,47) = 17;
    CONSTANTS(:,48) = 3;
    CONSTANTS(:,49) = 10;
    CONSTANTS(:,50) = 0.3;
    STATES(:,12) = 0;
    CONSTANTS(:,51) = -500;
    CONSTANTS(:,52) = 0.04;
    STATES(:,13) = 0.0604;
    CONSTANTS(:,53) = 1;
    CONSTANTS(:,54) = 1;
    STATES(:,14) = 0.057;
    STATES(:,15) = 0.287;
    CONSTANTS(:,55) = 27;
    CONSTANTS(:,56) = 16;
    CONSTANTS(:,57) = 40;
    CONSTANTS(:,58) = 74;
    CONSTANTS(:,59) = 5;
    CONSTANTS(:,60) = 7.5;
    CONSTANTS(:,61) = 80;
    CONSTANTS(:,62) = 11;
    CONSTANTS(:,63) = 20;
    CONSTANTS(:,64) = 0.005;
    CONSTANTS(:,65) = -38.8;
    STATES(:,16) = 0.182;
    CONSTANTS(:,66) = 79.8;
    CONSTANTS(:,67) = 5.3;
    CONSTANTS(:,68) = 70;
    CONSTANTS(:,69) = 11;
    CONSTANTS(:,70) = 10;
    CONSTANTS(:,71) = 11;
    CONSTANTS(:,72) = 10;
    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(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+CONSTANTS(:,9))./ - CONSTANTS(:,10)));
    RATES(:,2) = (ALGEBRAIC(:,3) - STATES(:,2))./CONSTANTS(:,11);
    ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+CONSTANTS(:,13))./CONSTANTS(:,14)));
    RATES(:,5) = (ALGEBRAIC(:,4) - STATES(:,5))./CONSTANTS(:,15);
    ALGEBRAIC(:,5) = 1.00000./(1.00000+exp( - (STATES(:,1)+CONSTANTS(:,16))./CONSTANTS(:,17)));
    RATES(:,4) = (ALGEBRAIC(:,5) - STATES(:,4))./CONSTANTS(:,18);
    ALGEBRAIC(:,9) = 1.00000./(1.00000+exp( - (STATES(:,1)+CONSTANTS(:,40))./CONSTANTS(:,41)));
    RATES(:,9) = (ALGEBRAIC(:,9) - STATES(:,9))./CONSTANTS(:,42);
    ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1)+CONSTANTS(:,43))./CONSTANTS(:,44)));
    RATES(:,10) = (ALGEBRAIC(:,10) - STATES(:,10))./CONSTANTS(:,45);
    ALGEBRAIC(:,11) = 1.00000./(1.00000+exp( - (STATES(:,1)+CONSTANTS(:,47))./CONSTANTS(:,48)));
    RATES(:,11) = (ALGEBRAIC(:,11) - STATES(:,11))./CONSTANTS(:,49);
    ALGEBRAIC(:,12) = 1.00000./(1.00000+power(0.00300000./STATES(:,13), 2.00000));
    RATES(:,12) = (ALGEBRAIC(:,12) - STATES(:,12))./CONSTANTS(:,53);
    ALGEBRAIC(:,14) = 1.00000./(1.00000+exp((STATES(:,1)+CONSTANTS(:,61))./CONSTANTS(:,62)));
    RATES(:,15) = (ALGEBRAIC(:,14) - STATES(:,15))./CONSTANTS(:,63);
    ALGEBRAIC(:,2) = 3.50000./(exp((STATES(:,1)+CONSTANTS(:,6))./CONSTANTS(:,7))+exp( - (STATES(:,1)+CONSTANTS(:,6))./CONSTANTS(:,8)))+1.00000;
    ALGEBRAIC(:,17) = 1.00000./(1.00000+exp((STATES(:,1)+CONSTANTS(:,4))./CONSTANTS(:,5)));
    RATES(:,3) = (ALGEBRAIC(:,17) - STATES(:,3))./ALGEBRAIC(:,2);
    ALGEBRAIC(:,6) = 2.50000./(exp((STATES(:,1)+CONSTANTS(:,23))./CONSTANTS(:,24))+exp( - (STATES(:,1)+CONSTANTS(:,23))./CONSTANTS(:,25)))+0.0100000;
    ALGEBRAIC(:,18) = 1.00000./(1.00000+exp( - (STATES(:,1)+CONSTANTS(:,21))./CONSTANTS(:,22)));
    RATES(:,6) = (ALGEBRAIC(:,18) - STATES(:,6))./ALGEBRAIC(:,6);
    ALGEBRAIC(:,7) = 5.00000./(exp((STATES(:,1)+CONSTANTS(:,32))./CONSTANTS(:,33))+exp( - (STATES(:,1)+CONSTANTS(:,32))./CONSTANTS(:,34)))+2.00000;
    ALGEBRAIC(:,19) = 1.00000./(1.00000+exp( - (STATES(:,1)+CONSTANTS(:,30))./CONSTANTS(:,31)));
    RATES(:,7) = (ALGEBRAIC(:,19) - STATES(:,7))./ALGEBRAIC(:,7);
    ALGEBRAIC(:,8) = 20.0000./(exp((STATES(:,1)+CONSTANTS(:,37))./CONSTANTS(:,38))+exp( - (STATES(:,1)+CONSTANTS(:,37))./CONSTANTS(:,38)))+1.00000;
    ALGEBRAIC(:,20) = 1.00000./(1.00000+exp((STATES(:,1)+CONSTANTS(:,35))./CONSTANTS(:,36)));
    RATES(:,8) = (ALGEBRAIC(:,20) - STATES(:,8))./ALGEBRAIC(:,8);
    ALGEBRAIC(:,13) = 1.00000./(exp((STATES(:,1)+CONSTANTS(:,57))./CONSTANTS(:,59))+exp( - (STATES(:,1)+CONSTANTS(:,58))./CONSTANTS(:,60)))+0.370000;
    ALGEBRAIC(:,21) = 1.00000./(1.00000+exp( - (STATES(:,1)+CONSTANTS(:,55))./CONSTANTS(:,56)));
    RATES(:,14) = (ALGEBRAIC(:,21) - STATES(:,14))./ALGEBRAIC(:,13);
    ALGEBRAIC(:,15) = 1.00000./(exp((STATES(:,1)+CONSTANTS(:,68))./CONSTANTS(:,69))+exp( - (STATES(:,1)+CONSTANTS(:,68))./CONSTANTS(:,69)))+50.0000;
    ALGEBRAIC(:,22) = 1.00000./(1.00000+exp((STATES(:,1)+CONSTANTS(:,66))./CONSTANTS(:,67)));
    RATES(:,16) = (ALGEBRAIC(:,22) - STATES(:,16))./ALGEBRAIC(:,15);
    ALGEBRAIC(:,25) =  CONSTANTS(:,28).*STATES(:,7).*STATES(:,8).*(STATES(:,1) - CONSTANTS(:,29));
    ALGEBRAIC(:,26) =  CONSTANTS(:,39).*STATES(:,9).*STATES(:,10).*(STATES(:,1) - CONSTANTS(:,29));
    ALGEBRAIC(:,27) =  CONSTANTS(:,46).*STATES(:,11).*(STATES(:,1) - CONSTANTS(:,29));
    RATES(:,13) =  (1.00000./1000.00).*CONSTANTS(:,51).*(ALGEBRAIC(:,25)+ALGEBRAIC(:,26)+ALGEBRAIC(:,27)) -  CONSTANTS(:,52).*STATES(:,13);
    ALGEBRAIC(:,1) =  CONSTANTS(:,2).*power(STATES(:,2), 3.00000).*STATES(:,3).*(STATES(:,1) - CONSTANTS(:,3));
    ALGEBRAIC(:,16) =  CONSTANTS(:,12).*STATES(:,4).*STATES(:,5).*(STATES(:,1) - CONSTANTS(:,3));
    ALGEBRAIC(:,23) =  CONSTANTS(:,19).*power(STATES(:,6), 4.00000).*(STATES(:,1) - CONSTANTS(:,20));
    ALGEBRAIC(:,24) =  CONSTANTS(:,26).*(STATES(:,1) - CONSTANTS(:,27));
    ALGEBRAIC(:,28) =  CONSTANTS(:,50).*power(STATES(:,12), 2.00000).*(STATES(:,1) - CONSTANTS(:,20));
    ALGEBRAIC(:,29) =  CONSTANTS(:,54).*STATES(:,14).*STATES(:,15).*(STATES(:,1) - CONSTANTS(:,20));
    ALGEBRAIC(:,30) =  CONSTANTS(:,64).*STATES(:,16).*(STATES(:,1) - CONSTANTS(:,65));
    ALGEBRAIC(:,31) = piecewise({VOI>=CONSTANTS(:,70)&VOI<=CONSTANTS(:,71), CONSTANTS(:,72) }, 0.00000);
    RATES(:,1) = ( - (ALGEBRAIC(:,1)+ALGEBRAIC(:,16)+ALGEBRAIC(:,23)+ALGEBRAIC(:,24)+ALGEBRAIC(:,25)+ALGEBRAIC(:,26)+ALGEBRAIC(:,27)+ALGEBRAIC(:,28)+ALGEBRAIC(:,29)+ALGEBRAIC(:,30))+ALGEBRAIC(:,31))./CONSTANTS(:,1);
   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(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+CONSTANTS(:,9))./ - CONSTANTS(:,10)));
    ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+CONSTANTS(:,13))./CONSTANTS(:,14)));
    ALGEBRAIC(:,5) = 1.00000./(1.00000+exp( - (STATES(:,1)+CONSTANTS(:,16))./CONSTANTS(:,17)));
    ALGEBRAIC(:,9) = 1.00000./(1.00000+exp( - (STATES(:,1)+CONSTANTS(:,40))./CONSTANTS(:,41)));
    ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1)+CONSTANTS(:,43))./CONSTANTS(:,44)));
    ALGEBRAIC(:,11) = 1.00000./(1.00000+exp( - (STATES(:,1)+CONSTANTS(:,47))./CONSTANTS(:,48)));
    ALGEBRAIC(:,12) = 1.00000./(1.00000+power(0.00300000./STATES(:,13), 2.00000));
    ALGEBRAIC(:,14) = 1.00000./(1.00000+exp((STATES(:,1)+CONSTANTS(:,61))./CONSTANTS(:,62)));
    ALGEBRAIC(:,2) = 3.50000./(exp((STATES(:,1)+CONSTANTS(:,6))./CONSTANTS(:,7))+exp( - (STATES(:,1)+CONSTANTS(:,6))./CONSTANTS(:,8)))+1.00000;
    ALGEBRAIC(:,17) = 1.00000./(1.00000+exp((STATES(:,1)+CONSTANTS(:,4))./CONSTANTS(:,5)));
    ALGEBRAIC(:,6) = 2.50000./(exp((STATES(:,1)+CONSTANTS(:,23))./CONSTANTS(:,24))+exp( - (STATES(:,1)+CONSTANTS(:,23))./CONSTANTS(:,25)))+0.0100000;
    ALGEBRAIC(:,18) = 1.00000./(1.00000+exp( - (STATES(:,1)+CONSTANTS(:,21))./CONSTANTS(:,22)));
    ALGEBRAIC(:,7) = 5.00000./(exp((STATES(:,1)+CONSTANTS(:,32))./CONSTANTS(:,33))+exp( - (STATES(:,1)+CONSTANTS(:,32))./CONSTANTS(:,34)))+2.00000;
    ALGEBRAIC(:,19) = 1.00000./(1.00000+exp( - (STATES(:,1)+CONSTANTS(:,30))./CONSTANTS(:,31)));
    ALGEBRAIC(:,8) = 20.0000./(exp((STATES(:,1)+CONSTANTS(:,37))./CONSTANTS(:,38))+exp( - (STATES(:,1)+CONSTANTS(:,37))./CONSTANTS(:,38)))+1.00000;
    ALGEBRAIC(:,20) = 1.00000./(1.00000+exp((STATES(:,1)+CONSTANTS(:,35))./CONSTANTS(:,36)));
    ALGEBRAIC(:,13) = 1.00000./(exp((STATES(:,1)+CONSTANTS(:,57))./CONSTANTS(:,59))+exp( - (STATES(:,1)+CONSTANTS(:,58))./CONSTANTS(:,60)))+0.370000;
    ALGEBRAIC(:,21) = 1.00000./(1.00000+exp( - (STATES(:,1)+CONSTANTS(:,55))./CONSTANTS(:,56)));
    ALGEBRAIC(:,15) = 1.00000./(exp((STATES(:,1)+CONSTANTS(:,68))./CONSTANTS(:,69))+exp( - (STATES(:,1)+CONSTANTS(:,68))./CONSTANTS(:,69)))+50.0000;
    ALGEBRAIC(:,22) = 1.00000./(1.00000+exp((STATES(:,1)+CONSTANTS(:,66))./CONSTANTS(:,67)));
    ALGEBRAIC(:,25) =  CONSTANTS(:,28).*STATES(:,7).*STATES(:,8).*(STATES(:,1) - CONSTANTS(:,29));
    ALGEBRAIC(:,26) =  CONSTANTS(:,39).*STATES(:,9).*STATES(:,10).*(STATES(:,1) - CONSTANTS(:,29));
    ALGEBRAIC(:,27) =  CONSTANTS(:,46).*STATES(:,11).*(STATES(:,1) - CONSTANTS(:,29));
    ALGEBRAIC(:,1) =  CONSTANTS(:,2).*power(STATES(:,2), 3.00000).*STATES(:,3).*(STATES(:,1) - CONSTANTS(:,3));
    ALGEBRAIC(:,16) =  CONSTANTS(:,12).*STATES(:,4).*STATES(:,5).*(STATES(:,1) - CONSTANTS(:,3));
    ALGEBRAIC(:,23) =  CONSTANTS(:,19).*power(STATES(:,6), 4.00000).*(STATES(:,1) - CONSTANTS(:,20));
    ALGEBRAIC(:,24) =  CONSTANTS(:,26).*(STATES(:,1) - CONSTANTS(:,27));
    ALGEBRAIC(:,28) =  CONSTANTS(:,50).*power(STATES(:,12), 2.00000).*(STATES(:,1) - CONSTANTS(:,20));
    ALGEBRAIC(:,29) =  CONSTANTS(:,54).*STATES(:,14).*STATES(:,15).*(STATES(:,1) - CONSTANTS(:,20));
    ALGEBRAIC(:,30) =  CONSTANTS(:,64).*STATES(:,16).*(STATES(:,1) - CONSTANTS(:,65));
    ALGEBRAIC(:,31) = piecewise({VOI>=CONSTANTS(:,70)&VOI<=CONSTANTS(:,71), CONSTANTS(:,72) }, 0.00000);
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